TSTP Solution File: NLP252-1 by Z3---4.8.9.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Z3---4.8.9.0
% Problem  : NLP252-1 : TPTP v8.1.0. Released v2.4.0.
% Transfm  : none
% Format   : tptp
% Command  : z3_tptp -proof -model -t:%d -file:%s

% Computer : n002.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 : Sun Sep 18 08:48:40 EDT 2022

% Result   : Unsatisfiable 0.62s 0.64s
% Output   : Proof 0.62s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :  114
% Syntax   : Number of formulae    :  199 (  58 unt;  26 typ;   0 def)
%            Number of atoms       : 10470 (   0 equ)
%            Maximal formula atoms :  137 (  60 avg)
%            Number of connectives : 19940 (10049   ~;9624   |;   0   &)
%                                         ( 267 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   55 (  12 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of FOOLs       :  406 ( 406 fml;   0 var)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   38 (  18   >;  20   *;   0   +;   0  <<)
%            Number of predicates  :   21 (  20 usr;   1 prp; 0-4 aty)
%            Number of functors    :   10 (  10 usr;   8 con; 0-1 aty)
%            Number of variables   :  773 ( 706   !;   0   ?; 773   :)

% Comments : 
%------------------------------------------------------------------------------
tff(present_type,type,
    present: ( $i * $i ) > $o ).

tff(skf2_type,type,
    skf2: $i > $i ).

tff(skf4_type,type,
    skf4: $i > $i ).

tff(skc12_type,type,
    skc12: $i ).

tff(man_type,type,
    man: ( $i * $i ) > $o ).

tff(skc15_type,type,
    skc15: $i ).

tff(accessible_world_type,type,
    accessible_world: ( $i * $i ) > $o ).

tff(skc8_type,type,
    skc8: $i ).

tff(smoke_type,type,
    smoke: ( $i * $i ) > $o ).

tff(event_type,type,
    event: ( $i * $i ) > $o ).

tff(agent_type,type,
    agent: ( $i * $i * $i ) > $o ).

tff(skc10_type,type,
    skc10: $i ).

tff(proposition_type,type,
    proposition: ( $i * $i ) > $o ).

tff(theme_type,type,
    theme: ( $i * $i * $i ) > $o ).

tff(think_believe_consider_type,type,
    think_believe_consider: ( $i * $i ) > $o ).

tff(forename_type,type,
    forename: ( $i * $i ) > $o ).

tff(vincent_forename_type,type,
    vincent_forename: ( $i * $i ) > $o ).

tff(of_type,type,
    of: ( $i * $i * $i ) > $o ).

tff(state_type,type,
    state: ( $i * $i ) > $o ).

tff(be_type,type,
    be: ( $i * $i * $i * $i ) > $o ).

tff(jules_forename_type,type,
    jules_forename: ( $i * $i ) > $o ).

tff(actual_world_type,type,
    actual_world: $i > $o ).

tff(skc9_type,type,
    skc9: $i ).

tff(skc11_type,type,
    skc11: $i ).

tff(skc13_type,type,
    skc13: $i ).

tff(skc14_type,type,
    skc14: $i ).

tff(1,plain,
    ( accessible_world(skc8,skc12)
  <=> accessible_world(skc8,skc12) ),
    inference(rewrite,[status(thm)],]) ).

tff(2,axiom,
    accessible_world(skc8,skc12),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause83) ).

tff(3,plain,
    accessible_world(skc8,skc12),
    inference(modus_ponens,[status(thm)],[2,1]) ).

tff(4,plain,
    ( man(skc8,skc15)
  <=> man(skc8,skc15) ),
    inference(rewrite,[status(thm)],]) ).

tff(5,axiom,
    man(skc8,skc15),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause73) ).

tff(6,plain,
    man(skc8,skc15),
    inference(modus_ponens,[status(thm)],[5,4]) ).

tff(7,plain,
    ^ [W: $i,V: $i,U: $i] :
      refl(
        ( ( ~ accessible_world(U,V)
          | man(V,W)
          | ~ man(U,W) )
      <=> ( ~ accessible_world(U,V)
          | man(V,W)
          | ~ man(U,W) ) )),
    inference(bind,[status(th)],]) ).

tff(8,plain,
    ( ! [W: $i,V: $i,U: $i] :
        ( ~ accessible_world(U,V)
        | man(V,W)
        | ~ man(U,W) )
  <=> ! [W: $i,V: $i,U: $i] :
        ( ~ accessible_world(U,V)
        | man(V,W)
        | ~ man(U,W) ) ),
    inference(quant_intro,[status(thm)],[7]) ).

tff(9,plain,
    ( ! [W: $i,V: $i,U: $i] :
        ( ~ accessible_world(U,V)
        | man(V,W)
        | ~ man(U,W) )
  <=> ! [W: $i,V: $i,U: $i] :
        ( ~ accessible_world(U,V)
        | man(V,W)
        | ~ man(U,W) ) ),
    inference(rewrite,[status(thm)],]) ).

tff(10,plain,
    ^ [W: $i,V: $i,U: $i] :
      rewrite(
        ( ( ~ accessible_world(U,V)
          | ~ man(U,W)
          | man(V,W) )
      <=> ( ~ accessible_world(U,V)
          | man(V,W)
          | ~ man(U,W) ) )),
    inference(bind,[status(th)],]) ).

tff(11,plain,
    ( ! [W: $i,V: $i,U: $i] :
        ( ~ accessible_world(U,V)
        | ~ man(U,W)
        | man(V,W) )
  <=> ! [W: $i,V: $i,U: $i] :
        ( ~ accessible_world(U,V)
        | man(V,W)
        | ~ man(U,W) ) ),
    inference(quant_intro,[status(thm)],[10]) ).

tff(12,axiom,
    ! [W: $i,V: $i,U: $i] :
      ( ~ accessible_world(U,V)
      | ~ man(U,W)
      | man(V,W) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause52) ).

tff(13,plain,
    ! [W: $i,V: $i,U: $i] :
      ( ~ accessible_world(U,V)
      | man(V,W)
      | ~ man(U,W) ),
    inference(modus_ponens,[status(thm)],[12,11]) ).

tff(14,plain,
    ! [W: $i,V: $i,U: $i] :
      ( ~ accessible_world(U,V)
      | man(V,W)
      | ~ man(U,W) ),
    inference(modus_ponens,[status(thm)],[13,9]) ).

tff(15,plain,
    ! [W: $i,V: $i,U: $i] :
      ( ~ accessible_world(U,V)
      | man(V,W)
      | ~ man(U,W) ),
    inference(skolemize,[status(sab)],[14]) ).

tff(16,plain,
    ! [W: $i,V: $i,U: $i] :
      ( ~ accessible_world(U,V)
      | man(V,W)
      | ~ man(U,W) ),
    inference(modus_ponens,[status(thm)],[15,8]) ).

tff(17,plain,
    ( ( ~ ! [W: $i,V: $i,U: $i] :
            ( ~ accessible_world(U,V)
            | man(V,W)
            | ~ man(U,W) )
      | ~ man(skc8,skc15)
      | ~ accessible_world(skc8,skc12)
      | man(skc12,skc15) )
  <=> ( ~ ! [W: $i,V: $i,U: $i] :
            ( ~ accessible_world(U,V)
            | man(V,W)
            | ~ man(U,W) )
      | ~ man(skc8,skc15)
      | ~ accessible_world(skc8,skc12)
      | man(skc12,skc15) ) ),
    inference(rewrite,[status(thm)],]) ).

tff(18,plain,
    ( ( ~ accessible_world(skc8,skc12)
      | man(skc12,skc15)
      | ~ man(skc8,skc15) )
  <=> ( ~ man(skc8,skc15)
      | ~ accessible_world(skc8,skc12)
      | man(skc12,skc15) ) ),
    inference(rewrite,[status(thm)],]) ).

tff(19,plain,
    ( ( ~ ! [W: $i,V: $i,U: $i] :
            ( ~ accessible_world(U,V)
            | man(V,W)
            | ~ man(U,W) )
      | ~ accessible_world(skc8,skc12)
      | man(skc12,skc15)
      | ~ man(skc8,skc15) )
  <=> ( ~ ! [W: $i,V: $i,U: $i] :
            ( ~ accessible_world(U,V)
            | man(V,W)
            | ~ man(U,W) )
      | ~ man(skc8,skc15)
      | ~ accessible_world(skc8,skc12)
      | man(skc12,skc15) ) ),
    inference(monotonicity,[status(thm)],[18]) ).

tff(20,plain,
    ( ( ~ ! [W: $i,V: $i,U: $i] :
            ( ~ accessible_world(U,V)
            | man(V,W)
            | ~ man(U,W) )
      | ~ accessible_world(skc8,skc12)
      | man(skc12,skc15)
      | ~ man(skc8,skc15) )
  <=> ( ~ ! [W: $i,V: $i,U: $i] :
            ( ~ accessible_world(U,V)
            | man(V,W)
            | ~ man(U,W) )
      | ~ man(skc8,skc15)
      | ~ accessible_world(skc8,skc12)
      | man(skc12,skc15) ) ),
    inference(transitivity,[status(thm)],[19,17]) ).

tff(21,plain,
    ( ~ ! [W: $i,V: $i,U: $i] :
          ( ~ accessible_world(U,V)
          | man(V,W)
          | ~ man(U,W) )
    | ~ accessible_world(skc8,skc12)
    | man(skc12,skc15)
    | ~ man(skc8,skc15) ),
    inference(quant_inst,[status(thm)],]) ).

tff(22,plain,
    ( ~ ! [W: $i,V: $i,U: $i] :
          ( ~ accessible_world(U,V)
          | man(V,W)
          | ~ man(U,W) )
    | ~ man(skc8,skc15)
    | ~ accessible_world(skc8,skc12)
    | man(skc12,skc15) ),
    inference(modus_ponens,[status(thm)],[21,20]) ).

tff(23,plain,
    man(skc12,skc15),
    inference(unit_resolution,[status(thm)],[22,16,6,3]) ).

tff(24,plain,
    ^ [V: $i,U: $i] :
      refl(
        ( ( ~ man(skc12,U)
          | present(skc12,skf2(V)) )
      <=> ( ~ man(skc12,U)
          | present(skc12,skf2(V)) ) )),
    inference(bind,[status(th)],]) ).

tff(25,plain,
    ( ! [V: $i,U: $i] :
        ( ~ man(skc12,U)
        | present(skc12,skf2(V)) )
  <=> ! [V: $i,U: $i] :
        ( ~ man(skc12,U)
        | present(skc12,skf2(V)) ) ),
    inference(quant_intro,[status(thm)],[24]) ).

tff(26,plain,
    ( ! [V: $i,U: $i] :
        ( ~ man(skc12,U)
        | present(skc12,skf2(V)) )
  <=> ! [V: $i,U: $i] :
        ( ~ man(skc12,U)
        | present(skc12,skf2(V)) ) ),
    inference(rewrite,[status(thm)],]) ).

tff(27,axiom,
    ! [V: $i,U: $i] :
      ( ~ man(skc12,U)
      | present(skc12,skf2(V)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause91) ).

tff(28,plain,
    ! [V: $i,U: $i] :
      ( ~ man(skc12,U)
      | present(skc12,skf2(V)) ),
    inference(modus_ponens,[status(thm)],[27,26]) ).

tff(29,plain,
    ! [V: $i,U: $i] :
      ( ~ man(skc12,U)
      | present(skc12,skf2(V)) ),
    inference(skolemize,[status(sab)],[28]) ).

tff(30,plain,
    ! [V: $i,U: $i] :
      ( ~ man(skc12,U)
      | present(skc12,skf2(V)) ),
    inference(modus_ponens,[status(thm)],[29,25]) ).

tff(31,plain,
    ( ( ~ ! [V: $i,U: $i] :
            ( ~ man(skc12,U)
            | present(skc12,skf2(V)) )
      | ~ man(skc12,skc15)
      | present(skc12,skf2(skf4(skc12))) )
  <=> ( ~ ! [V: $i,U: $i] :
            ( ~ man(skc12,U)
            | present(skc12,skf2(V)) )
      | ~ man(skc12,skc15)
      | present(skc12,skf2(skf4(skc12))) ) ),
    inference(rewrite,[status(thm)],]) ).

tff(32,plain,
    ( ~ ! [V: $i,U: $i] :
          ( ~ man(skc12,U)
          | present(skc12,skf2(V)) )
    | ~ man(skc12,skc15)
    | present(skc12,skf2(skf4(skc12))) ),
    inference(quant_inst,[status(thm)],]) ).

tff(33,plain,
    ( ~ ! [V: $i,U: $i] :
          ( ~ man(skc12,U)
          | present(skc12,skf2(V)) )
    | ~ man(skc12,skc15)
    | present(skc12,skf2(skf4(skc12))) ),
    inference(modus_ponens,[status(thm)],[32,31]) ).

tff(34,plain,
    present(skc12,skf2(skf4(skc12))),
    inference(unit_resolution,[status(thm)],[33,30,23]) ).

tff(35,plain,
    ^ [V: $i,U: $i] :
      refl(
        ( ( ~ man(skc12,U)
          | smoke(skc12,skf2(V)) )
      <=> ( ~ man(skc12,U)
          | smoke(skc12,skf2(V)) ) )),
    inference(bind,[status(th)],]) ).

tff(36,plain,
    ( ! [V: $i,U: $i] :
        ( ~ man(skc12,U)
        | smoke(skc12,skf2(V)) )
  <=> ! [V: $i,U: $i] :
        ( ~ man(skc12,U)
        | smoke(skc12,skf2(V)) ) ),
    inference(quant_intro,[status(thm)],[35]) ).

tff(37,plain,
    ( ! [V: $i,U: $i] :
        ( ~ man(skc12,U)
        | smoke(skc12,skf2(V)) )
  <=> ! [V: $i,U: $i] :
        ( ~ man(skc12,U)
        | smoke(skc12,skf2(V)) ) ),
    inference(rewrite,[status(thm)],]) ).

tff(38,axiom,
    ! [V: $i,U: $i] :
      ( ~ man(skc12,U)
      | smoke(skc12,skf2(V)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause90) ).

tff(39,plain,
    ! [V: $i,U: $i] :
      ( ~ man(skc12,U)
      | smoke(skc12,skf2(V)) ),
    inference(modus_ponens,[status(thm)],[38,37]) ).

tff(40,plain,
    ! [V: $i,U: $i] :
      ( ~ man(skc12,U)
      | smoke(skc12,skf2(V)) ),
    inference(skolemize,[status(sab)],[39]) ).

tff(41,plain,
    ! [V: $i,U: $i] :
      ( ~ man(skc12,U)
      | smoke(skc12,skf2(V)) ),
    inference(modus_ponens,[status(thm)],[40,36]) ).

tff(42,plain,
    ( ( ~ ! [V: $i,U: $i] :
            ( ~ man(skc12,U)
            | smoke(skc12,skf2(V)) )
      | ~ man(skc12,skc15)
      | smoke(skc12,skf2(skf4(skc12))) )
  <=> ( ~ ! [V: $i,U: $i] :
            ( ~ man(skc12,U)
            | smoke(skc12,skf2(V)) )
      | ~ man(skc12,skc15)
      | smoke(skc12,skf2(skf4(skc12))) ) ),
    inference(rewrite,[status(thm)],]) ).

tff(43,plain,
    ( ~ ! [V: $i,U: $i] :
          ( ~ man(skc12,U)
          | smoke(skc12,skf2(V)) )
    | ~ man(skc12,skc15)
    | smoke(skc12,skf2(skf4(skc12))) ),
    inference(quant_inst,[status(thm)],]) ).

tff(44,plain,
    ( ~ ! [V: $i,U: $i] :
          ( ~ man(skc12,U)
          | smoke(skc12,skf2(V)) )
    | ~ man(skc12,skc15)
    | smoke(skc12,skf2(skf4(skc12))) ),
    inference(modus_ponens,[status(thm)],[43,42]) ).

tff(45,plain,
    smoke(skc12,skf2(skf4(skc12))),
    inference(unit_resolution,[status(thm)],[44,41,23]) ).

tff(46,plain,
    ^ [V: $i,U: $i] :
      refl(
        ( ( ~ man(skc12,U)
          | event(skc12,skf2(V)) )
      <=> ( ~ man(skc12,U)
          | event(skc12,skf2(V)) ) )),
    inference(bind,[status(th)],]) ).

tff(47,plain,
    ( ! [V: $i,U: $i] :
        ( ~ man(skc12,U)
        | event(skc12,skf2(V)) )
  <=> ! [V: $i,U: $i] :
        ( ~ man(skc12,U)
        | event(skc12,skf2(V)) ) ),
    inference(quant_intro,[status(thm)],[46]) ).

tff(48,plain,
    ( ! [V: $i,U: $i] :
        ( ~ man(skc12,U)
        | event(skc12,skf2(V)) )
  <=> ! [V: $i,U: $i] :
        ( ~ man(skc12,U)
        | event(skc12,skf2(V)) ) ),
    inference(rewrite,[status(thm)],]) ).

tff(49,axiom,
    ! [V: $i,U: $i] :
      ( ~ man(skc12,U)
      | event(skc12,skf2(V)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause92) ).

tff(50,plain,
    ! [V: $i,U: $i] :
      ( ~ man(skc12,U)
      | event(skc12,skf2(V)) ),
    inference(modus_ponens,[status(thm)],[49,48]) ).

tff(51,plain,
    ! [V: $i,U: $i] :
      ( ~ man(skc12,U)
      | event(skc12,skf2(V)) ),
    inference(skolemize,[status(sab)],[50]) ).

tff(52,plain,
    ! [V: $i,U: $i] :
      ( ~ man(skc12,U)
      | event(skc12,skf2(V)) ),
    inference(modus_ponens,[status(thm)],[51,47]) ).

tff(53,plain,
    ( ( ~ ! [V: $i,U: $i] :
            ( ~ man(skc12,U)
            | event(skc12,skf2(V)) )
      | ~ man(skc12,skc15)
      | event(skc12,skf2(skf4(skc12))) )
  <=> ( ~ ! [V: $i,U: $i] :
            ( ~ man(skc12,U)
            | event(skc12,skf2(V)) )
      | ~ man(skc12,skc15)
      | event(skc12,skf2(skf4(skc12))) ) ),
    inference(rewrite,[status(thm)],]) ).

tff(54,plain,
    ( ~ ! [V: $i,U: $i] :
          ( ~ man(skc12,U)
          | event(skc12,skf2(V)) )
    | ~ man(skc12,skc15)
    | event(skc12,skf2(skf4(skc12))) ),
    inference(quant_inst,[status(thm)],]) ).

tff(55,plain,
    ( ~ ! [V: $i,U: $i] :
          ( ~ man(skc12,U)
          | event(skc12,skf2(V)) )
    | ~ man(skc12,skc15)
    | event(skc12,skf2(skf4(skc12))) ),
    inference(modus_ponens,[status(thm)],[54,53]) ).

tff(56,plain,
    event(skc12,skf2(skf4(skc12))),
    inference(unit_resolution,[status(thm)],[55,52,23]) ).

tff(57,plain,
    ( ( ~ ! [V: $i,U: $i] :
            ( ~ man(skc12,U)
            | event(skc12,skf2(V)) )
      | ~ man(skc12,skc15)
      | event(skc12,skf2(skc10)) )
  <=> ( ~ ! [V: $i,U: $i] :
            ( ~ man(skc12,U)
            | event(skc12,skf2(V)) )
      | ~ man(skc12,skc15)
      | event(skc12,skf2(skc10)) ) ),
    inference(rewrite,[status(thm)],]) ).

tff(58,plain,
    ( ~ ! [V: $i,U: $i] :
          ( ~ man(skc12,U)
          | event(skc12,skf2(V)) )
    | ~ man(skc12,skc15)
    | event(skc12,skf2(skc10)) ),
    inference(quant_inst,[status(thm)],]) ).

tff(59,plain,
    ( ~ ! [V: $i,U: $i] :
          ( ~ man(skc12,U)
          | event(skc12,skf2(V)) )
    | ~ man(skc12,skc15)
    | event(skc12,skf2(skc10)) ),
    inference(modus_ponens,[status(thm)],[58,57]) ).

tff(60,plain,
    event(skc12,skf2(skc10)),
    inference(unit_resolution,[status(thm)],[59,52,23]) ).

tff(61,plain,
    ( ( ~ ! [V: $i,U: $i] :
            ( ~ man(skc12,U)
            | smoke(skc12,skf2(V)) )
      | ~ man(skc12,skc15)
      | smoke(skc12,skf2(skc10)) )
  <=> ( ~ ! [V: $i,U: $i] :
            ( ~ man(skc12,U)
            | smoke(skc12,skf2(V)) )
      | ~ man(skc12,skc15)
      | smoke(skc12,skf2(skc10)) ) ),
    inference(rewrite,[status(thm)],]) ).

tff(62,plain,
    ( ~ ! [V: $i,U: $i] :
          ( ~ man(skc12,U)
          | smoke(skc12,skf2(V)) )
    | ~ man(skc12,skc15)
    | smoke(skc12,skf2(skc10)) ),
    inference(quant_inst,[status(thm)],]) ).

tff(63,plain,
    ( ~ ! [V: $i,U: $i] :
          ( ~ man(skc12,U)
          | smoke(skc12,skf2(V)) )
    | ~ man(skc12,skc15)
    | smoke(skc12,skf2(skc10)) ),
    inference(modus_ponens,[status(thm)],[62,61]) ).

tff(64,plain,
    smoke(skc12,skf2(skc10)),
    inference(unit_resolution,[status(thm)],[63,41,23]) ).

tff(65,plain,
    ( ( ~ ! [V: $i,U: $i] :
            ( ~ man(skc12,U)
            | present(skc12,skf2(V)) )
      | ~ man(skc12,skc15)
      | present(skc12,skf2(skc10)) )
  <=> ( ~ ! [V: $i,U: $i] :
            ( ~ man(skc12,U)
            | present(skc12,skf2(V)) )
      | ~ man(skc12,skc15)
      | present(skc12,skf2(skc10)) ) ),
    inference(rewrite,[status(thm)],]) ).

tff(66,plain,
    ( ~ ! [V: $i,U: $i] :
          ( ~ man(skc12,U)
          | present(skc12,skf2(V)) )
    | ~ man(skc12,skc15)
    | present(skc12,skf2(skc10)) ),
    inference(quant_inst,[status(thm)],]) ).

tff(67,plain,
    ( ~ ! [V: $i,U: $i] :
          ( ~ man(skc12,U)
          | present(skc12,skf2(V)) )
    | ~ man(skc12,skc15)
    | present(skc12,skf2(skc10)) ),
    inference(modus_ponens,[status(thm)],[66,65]) ).

tff(68,plain,
    present(skc12,skf2(skc10)),
    inference(unit_resolution,[status(thm)],[67,30,23]) ).

tff(69,plain,
    ( man(skc8,skc10)
  <=> man(skc8,skc10) ),
    inference(rewrite,[status(thm)],]) ).

tff(70,axiom,
    man(skc8,skc10),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause81) ).

tff(71,plain,
    man(skc8,skc10),
    inference(modus_ponens,[status(thm)],[70,69]) ).

tff(72,plain,
    ( ( ~ ! [W: $i,V: $i,U: $i] :
            ( ~ accessible_world(U,V)
            | man(V,W)
            | ~ man(U,W) )
      | ~ man(skc8,skc10)
      | ~ accessible_world(skc8,skc12)
      | man(skc12,skc10) )
  <=> ( ~ ! [W: $i,V: $i,U: $i] :
            ( ~ accessible_world(U,V)
            | man(V,W)
            | ~ man(U,W) )
      | ~ man(skc8,skc10)
      | ~ accessible_world(skc8,skc12)
      | man(skc12,skc10) ) ),
    inference(rewrite,[status(thm)],]) ).

tff(73,plain,
    ( ( ~ accessible_world(skc8,skc12)
      | man(skc12,skc10)
      | ~ man(skc8,skc10) )
  <=> ( ~ man(skc8,skc10)
      | ~ accessible_world(skc8,skc12)
      | man(skc12,skc10) ) ),
    inference(rewrite,[status(thm)],]) ).

tff(74,plain,
    ( ( ~ ! [W: $i,V: $i,U: $i] :
            ( ~ accessible_world(U,V)
            | man(V,W)
            | ~ man(U,W) )
      | ~ accessible_world(skc8,skc12)
      | man(skc12,skc10)
      | ~ man(skc8,skc10) )
  <=> ( ~ ! [W: $i,V: $i,U: $i] :
            ( ~ accessible_world(U,V)
            | man(V,W)
            | ~ man(U,W) )
      | ~ man(skc8,skc10)
      | ~ accessible_world(skc8,skc12)
      | man(skc12,skc10) ) ),
    inference(monotonicity,[status(thm)],[73]) ).

tff(75,plain,
    ( ( ~ ! [W: $i,V: $i,U: $i] :
            ( ~ accessible_world(U,V)
            | man(V,W)
            | ~ man(U,W) )
      | ~ accessible_world(skc8,skc12)
      | man(skc12,skc10)
      | ~ man(skc8,skc10) )
  <=> ( ~ ! [W: $i,V: $i,U: $i] :
            ( ~ accessible_world(U,V)
            | man(V,W)
            | ~ man(U,W) )
      | ~ man(skc8,skc10)
      | ~ accessible_world(skc8,skc12)
      | man(skc12,skc10) ) ),
    inference(transitivity,[status(thm)],[74,72]) ).

tff(76,plain,
    ( ~ ! [W: $i,V: $i,U: $i] :
          ( ~ accessible_world(U,V)
          | man(V,W)
          | ~ man(U,W) )
    | ~ accessible_world(skc8,skc12)
    | man(skc12,skc10)
    | ~ man(skc8,skc10) ),
    inference(quant_inst,[status(thm)],]) ).

tff(77,plain,
    ( ~ ! [W: $i,V: $i,U: $i] :
          ( ~ accessible_world(U,V)
          | man(V,W)
          | ~ man(U,W) )
    | ~ man(skc8,skc10)
    | ~ accessible_world(skc8,skc12)
    | man(skc12,skc10) ),
    inference(modus_ponens,[status(thm)],[76,75]) ).

tff(78,plain,
    man(skc12,skc10),
    inference(unit_resolution,[status(thm)],[77,16,71,3]) ).

tff(79,plain,
    ^ [U: $i] :
      refl(
        ( ( ~ man(skc12,U)
          | agent(skc12,skf2(U),U) )
      <=> ( ~ man(skc12,U)
          | agent(skc12,skf2(U),U) ) )),
    inference(bind,[status(th)],]) ).

tff(80,plain,
    ( ! [U: $i] :
        ( ~ man(skc12,U)
        | agent(skc12,skf2(U),U) )
  <=> ! [U: $i] :
        ( ~ man(skc12,U)
        | agent(skc12,skf2(U),U) ) ),
    inference(quant_intro,[status(thm)],[79]) ).

tff(81,plain,
    ( ! [U: $i] :
        ( ~ man(skc12,U)
        | agent(skc12,skf2(U),U) )
  <=> ! [U: $i] :
        ( ~ man(skc12,U)
        | agent(skc12,skf2(U),U) ) ),
    inference(rewrite,[status(thm)],]) ).

tff(82,axiom,
    ! [U: $i] :
      ( ~ man(skc12,U)
      | agent(skc12,skf2(U),U) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause93) ).

tff(83,plain,
    ! [U: $i] :
      ( ~ man(skc12,U)
      | agent(skc12,skf2(U),U) ),
    inference(modus_ponens,[status(thm)],[82,81]) ).

tff(84,plain,
    ! [U: $i] :
      ( ~ man(skc12,U)
      | agent(skc12,skf2(U),U) ),
    inference(skolemize,[status(sab)],[83]) ).

tff(85,plain,
    ! [U: $i] :
      ( ~ man(skc12,U)
      | agent(skc12,skf2(U),U) ),
    inference(modus_ponens,[status(thm)],[84,80]) ).

tff(86,plain,
    ( ( ~ ! [U: $i] :
            ( ~ man(skc12,U)
            | agent(skc12,skf2(U),U) )
      | ~ man(skc12,skc10)
      | agent(skc12,skf2(skc10),skc10) )
  <=> ( ~ ! [U: $i] :
            ( ~ man(skc12,U)
            | agent(skc12,skf2(U),U) )
      | ~ man(skc12,skc10)
      | agent(skc12,skf2(skc10),skc10) ) ),
    inference(rewrite,[status(thm)],]) ).

tff(87,plain,
    ( ~ ! [U: $i] :
          ( ~ man(skc12,U)
          | agent(skc12,skf2(U),U) )
    | ~ man(skc12,skc10)
    | agent(skc12,skf2(skc10),skc10) ),
    inference(quant_inst,[status(thm)],]) ).

tff(88,plain,
    ( ~ ! [U: $i] :
          ( ~ man(skc12,U)
          | agent(skc12,skf2(U),U) )
    | ~ man(skc12,skc10)
    | agent(skc12,skf2(skc10),skc10) ),
    inference(modus_ponens,[status(thm)],[87,86]) ).

tff(89,plain,
    agent(skc12,skf2(skc10),skc10),
    inference(unit_resolution,[status(thm)],[88,85,78]) ).

tff(90,plain,
    ^ [W: $i,V: $i,Z: $i,Y: $i,X6: $i,X4: $i,X3: $i,U: $i,X: $i,X2: $i,X7: $i,X5: $i,X1: $i] :
      refl(
        ( ( man(V,skf4(V))
          | ~ actual_world(U)
          | ~ of(U,X6,X7)
          | ~ man(U,X7)
          | ~ agent(U,X5,X7)
          | ~ forename(U,X6)
          | ~ vincent_forename(U,X6)
          | ~ theme(U,X5,X1)
          | ~ event(U,X5)
          | ~ present(U,X5)
          | ~ think_believe_consider(U,X5)
          | ~ accessible_world(U,X1)
          | ~ proposition(U,X1)
          | ~ forename(U,X4)
          | ~ jules_forename(U,X4)
          | ~ of(U,X4,X3)
          | ~ man(U,X3)
          | ~ be(U,Z,X3,X3)
          | ~ event(X1,X2)
          | ~ agent(X1,X2,X3)
          | ~ present(X1,X2)
          | ~ smoke(X1,X2)
          | ~ state(U,Z)
          | ~ agent(U,W,Y)
          | ~ man(U,Y)
          | ~ of(U,X,Y)
          | ~ vincent_forename(U,X)
          | ~ forename(U,X)
          | ~ think_believe_consider(U,W)
          | ~ present(U,W)
          | ~ event(U,W)
          | ~ theme(U,W,V)
          | ~ proposition(U,V)
          | ~ accessible_world(U,V) )
      <=> ( man(V,skf4(V))
          | ~ actual_world(U)
          | ~ of(U,X6,X7)
          | ~ man(U,X7)
          | ~ agent(U,X5,X7)
          | ~ forename(U,X6)
          | ~ vincent_forename(U,X6)
          | ~ theme(U,X5,X1)
          | ~ event(U,X5)
          | ~ present(U,X5)
          | ~ think_believe_consider(U,X5)
          | ~ accessible_world(U,X1)
          | ~ proposition(U,X1)
          | ~ forename(U,X4)
          | ~ jules_forename(U,X4)
          | ~ of(U,X4,X3)
          | ~ man(U,X3)
          | ~ be(U,Z,X3,X3)
          | ~ event(X1,X2)
          | ~ agent(X1,X2,X3)
          | ~ present(X1,X2)
          | ~ smoke(X1,X2)
          | ~ state(U,Z)
          | ~ agent(U,W,Y)
          | ~ man(U,Y)
          | ~ of(U,X,Y)
          | ~ vincent_forename(U,X)
          | ~ forename(U,X)
          | ~ think_believe_consider(U,W)
          | ~ present(U,W)
          | ~ event(U,W)
          | ~ theme(U,W,V)
          | ~ proposition(U,V)
          | ~ accessible_world(U,V) ) )),
    inference(bind,[status(th)],]) ).

tff(91,plain,
    ( ! [W: $i,V: $i,Z: $i,Y: $i,X6: $i,X4: $i,X3: $i,U: $i,X: $i,X2: $i,X7: $i,X5: $i,X1: $i] :
        ( man(V,skf4(V))
        | ~ actual_world(U)
        | ~ of(U,X6,X7)
        | ~ man(U,X7)
        | ~ agent(U,X5,X7)
        | ~ forename(U,X6)
        | ~ vincent_forename(U,X6)
        | ~ theme(U,X5,X1)
        | ~ event(U,X5)
        | ~ present(U,X5)
        | ~ think_believe_consider(U,X5)
        | ~ accessible_world(U,X1)
        | ~ proposition(U,X1)
        | ~ forename(U,X4)
        | ~ jules_forename(U,X4)
        | ~ of(U,X4,X3)
        | ~ man(U,X3)
        | ~ be(U,Z,X3,X3)
        | ~ event(X1,X2)
        | ~ agent(X1,X2,X3)
        | ~ present(X1,X2)
        | ~ smoke(X1,X2)
        | ~ state(U,Z)
        | ~ agent(U,W,Y)
        | ~ man(U,Y)
        | ~ of(U,X,Y)
        | ~ vincent_forename(U,X)
        | ~ forename(U,X)
        | ~ think_believe_consider(U,W)
        | ~ present(U,W)
        | ~ event(U,W)
        | ~ theme(U,W,V)
        | ~ proposition(U,V)
        | ~ accessible_world(U,V) )
  <=> ! [W: $i,V: $i,Z: $i,Y: $i,X6: $i,X4: $i,X3: $i,U: $i,X: $i,X2: $i,X7: $i,X5: $i,X1: $i] :
        ( man(V,skf4(V))
        | ~ actual_world(U)
        | ~ of(U,X6,X7)
        | ~ man(U,X7)
        | ~ agent(U,X5,X7)
        | ~ forename(U,X6)
        | ~ vincent_forename(U,X6)
        | ~ theme(U,X5,X1)
        | ~ event(U,X5)
        | ~ present(U,X5)
        | ~ think_believe_consider(U,X5)
        | ~ accessible_world(U,X1)
        | ~ proposition(U,X1)
        | ~ forename(U,X4)
        | ~ jules_forename(U,X4)
        | ~ of(U,X4,X3)
        | ~ man(U,X3)
        | ~ be(U,Z,X3,X3)
        | ~ event(X1,X2)
        | ~ agent(X1,X2,X3)
        | ~ present(X1,X2)
        | ~ smoke(X1,X2)
        | ~ state(U,Z)
        | ~ agent(U,W,Y)
        | ~ man(U,Y)
        | ~ of(U,X,Y)
        | ~ vincent_forename(U,X)
        | ~ forename(U,X)
        | ~ think_believe_consider(U,W)
        | ~ present(U,W)
        | ~ event(U,W)
        | ~ theme(U,W,V)
        | ~ proposition(U,V)
        | ~ accessible_world(U,V) ) ),
    inference(quant_intro,[status(thm)],[90]) ).

tff(92,plain,
    ( ! [W: $i,V: $i,Z: $i,Y: $i,X6: $i,X4: $i,X3: $i,U: $i,X: $i,X2: $i,X7: $i,X5: $i,X1: $i] :
        ( man(V,skf4(V))
        | ~ actual_world(U)
        | ~ of(U,X6,X7)
        | ~ man(U,X7)
        | ~ agent(U,X5,X7)
        | ~ forename(U,X6)
        | ~ vincent_forename(U,X6)
        | ~ theme(U,X5,X1)
        | ~ event(U,X5)
        | ~ present(U,X5)
        | ~ think_believe_consider(U,X5)
        | ~ accessible_world(U,X1)
        | ~ proposition(U,X1)
        | ~ forename(U,X4)
        | ~ jules_forename(U,X4)
        | ~ of(U,X4,X3)
        | ~ man(U,X3)
        | ~ be(U,Z,X3,X3)
        | ~ event(X1,X2)
        | ~ agent(X1,X2,X3)
        | ~ present(X1,X2)
        | ~ smoke(X1,X2)
        | ~ state(U,Z)
        | ~ agent(U,W,Y)
        | ~ man(U,Y)
        | ~ of(U,X,Y)
        | ~ vincent_forename(U,X)
        | ~ forename(U,X)
        | ~ think_believe_consider(U,W)
        | ~ present(U,W)
        | ~ event(U,W)
        | ~ theme(U,W,V)
        | ~ proposition(U,V)
        | ~ accessible_world(U,V) )
  <=> ! [W: $i,V: $i,Z: $i,Y: $i,X6: $i,X4: $i,X3: $i,U: $i,X: $i,X2: $i,X7: $i,X5: $i,X1: $i] :
        ( man(V,skf4(V))
        | ~ actual_world(U)
        | ~ of(U,X6,X7)
        | ~ man(U,X7)
        | ~ agent(U,X5,X7)
        | ~ forename(U,X6)
        | ~ vincent_forename(U,X6)
        | ~ theme(U,X5,X1)
        | ~ event(U,X5)
        | ~ present(U,X5)
        | ~ think_believe_consider(U,X5)
        | ~ accessible_world(U,X1)
        | ~ proposition(U,X1)
        | ~ forename(U,X4)
        | ~ jules_forename(U,X4)
        | ~ of(U,X4,X3)
        | ~ man(U,X3)
        | ~ be(U,Z,X3,X3)
        | ~ event(X1,X2)
        | ~ agent(X1,X2,X3)
        | ~ present(X1,X2)
        | ~ smoke(X1,X2)
        | ~ state(U,Z)
        | ~ agent(U,W,Y)
        | ~ man(U,Y)
        | ~ of(U,X,Y)
        | ~ vincent_forename(U,X)
        | ~ forename(U,X)
        | ~ think_believe_consider(U,W)
        | ~ present(U,W)
        | ~ event(U,W)
        | ~ theme(U,W,V)
        | ~ proposition(U,V)
        | ~ accessible_world(U,V) ) ),
    inference(rewrite,[status(thm)],]) ).

tff(93,plain,
    ^ [W: $i,V: $i,Z: $i,Y: $i,X6: $i,X4: $i,X3: $i,U: $i,X: $i,X2: $i,X7: $i,X5: $i,X1: $i] :
      trans(
        monotonicity(
          trans(
            monotonicity(
              trans(
                monotonicity(
                  trans(
                    monotonicity(
                      trans(
                        monotonicity(
                          trans(
                            monotonicity(
                              trans(
                                monotonicity(
                                  trans(
                                    monotonicity(
                                      trans(
                                        monotonicity(
                                          trans(
                                            monotonicity(
                                              trans(
                                                monotonicity(
                                                  trans(
                                                    monotonicity(
                                                      trans(
                                                        monotonicity(
                                                          trans(
                                                            monotonicity(
                                                              trans(
                                                                monotonicity(
                                                                  trans(
                                                                    monotonicity(
                                                                      trans(
                                                                        monotonicity(
                                                                          trans(
                                                                            monotonicity(
                                                                              trans(
                                                                                monotonicity(
                                                                                  trans(
                                                                                    monotonicity(
                                                                                      trans(
                                                                                        monotonicity(
                                                                                          trans(
                                                                                            monotonicity(
                                                                                              trans(
                                                                                                monotonicity(
                                                                                                  trans(
                                                                                                    monotonicity(
                                                                                                      trans(
                                                                                                        monotonicity(
                                                                                                          trans(
                                                                                                            monotonicity(
                                                                                                              trans(
                                                                                                                monotonicity(
                                                                                                                  trans(
                                                                                                                    monotonicity(
                                                                                                                      trans(
                                                                                                                        monotonicity(
                                                                                                                          trans(
                                                                                                                            monotonicity(
                                                                                                                              trans(
                                                                                                                                monotonicity(
                                                                                                                                  rewrite(
                                                                                                                                    ( ( ~ accessible_world(U,V)
                                                                                                                                      | ~ proposition(U,V)
                                                                                                                                      | ~ theme(U,W,V) )
                                                                                                                                  <=> ( ~ theme(U,W,V)
                                                                                                                                      | ~ proposition(U,V)
                                                                                                                                      | ~ accessible_world(U,V) ) )),
                                                                                                                                  ( ( ~ accessible_world(U,V)
                                                                                                                                    | ~ proposition(U,V)
                                                                                                                                    | ~ theme(U,W,V)
                                                                                                                                    | ~ event(U,W) )
                                                                                                                                <=> ( ~ theme(U,W,V)
                                                                                                                                    | ~ proposition(U,V)
                                                                                                                                    | ~ accessible_world(U,V)
                                                                                                                                    | ~ event(U,W) ) )),
                                                                                                                                rewrite(
                                                                                                                                  ( ( ~ theme(U,W,V)
                                                                                                                                    | ~ proposition(U,V)
                                                                                                                                    | ~ accessible_world(U,V)
                                                                                                                                    | ~ event(U,W) )
                                                                                                                                <=> ( ~ event(U,W)
                                                                                                                                    | ~ theme(U,W,V)
                                                                                                                                    | ~ proposition(U,V)
                                                                                                                                    | ~ accessible_world(U,V) ) )),
                                                                                                                                ( ( ~ accessible_world(U,V)
                                                                                                                                  | ~ proposition(U,V)
                                                                                                                                  | ~ theme(U,W,V)
                                                                                                                                  | ~ event(U,W) )
                                                                                                                              <=> ( ~ event(U,W)
                                                                                                                                  | ~ theme(U,W,V)
                                                                                                                                  | ~ proposition(U,V)
                                                                                                                                  | ~ accessible_world(U,V) ) )),
                                                                                                                              ( ( ~ accessible_world(U,V)
                                                                                                                                | ~ proposition(U,V)
                                                                                                                                | ~ theme(U,W,V)
                                                                                                                                | ~ event(U,W)
                                                                                                                                | ~ present(U,W) )
                                                                                                                            <=> ( ~ event(U,W)
                                                                                                                                | ~ theme(U,W,V)
                                                                                                                                | ~ proposition(U,V)
                                                                                                                                | ~ accessible_world(U,V)
                                                                                                                                | ~ present(U,W) ) )),
                                                                                                                            rewrite(
                                                                                                                              ( ( ~ event(U,W)
                                                                                                                                | ~ theme(U,W,V)
                                                                                                                                | ~ proposition(U,V)
                                                                                                                                | ~ accessible_world(U,V)
                                                                                                                                | ~ present(U,W) )
                                                                                                                            <=> ( ~ present(U,W)
                                                                                                                                | ~ event(U,W)
                                                                                                                                | ~ theme(U,W,V)
                                                                                                                                | ~ proposition(U,V)
                                                                                                                                | ~ accessible_world(U,V) ) )),
                                                                                                                            ( ( ~ accessible_world(U,V)
                                                                                                                              | ~ proposition(U,V)
                                                                                                                              | ~ theme(U,W,V)
                                                                                                                              | ~ event(U,W)
                                                                                                                              | ~ present(U,W) )
                                                                                                                          <=> ( ~ present(U,W)
                                                                                                                              | ~ event(U,W)
                                                                                                                              | ~ theme(U,W,V)
                                                                                                                              | ~ proposition(U,V)
                                                                                                                              | ~ accessible_world(U,V) ) )),
                                                                                                                          ( ( ~ accessible_world(U,V)
                                                                                                                            | ~ proposition(U,V)
                                                                                                                            | ~ theme(U,W,V)
                                                                                                                            | ~ event(U,W)
                                                                                                                            | ~ present(U,W)
                                                                                                                            | ~ think_believe_consider(U,W) )
                                                                                                                        <=> ( ~ present(U,W)
                                                                                                                            | ~ event(U,W)
                                                                                                                            | ~ theme(U,W,V)
                                                                                                                            | ~ proposition(U,V)
                                                                                                                            | ~ accessible_world(U,V)
                                                                                                                            | ~ think_believe_consider(U,W) ) )),
                                                                                                                        rewrite(
                                                                                                                          ( ( ~ present(U,W)
                                                                                                                            | ~ event(U,W)
                                                                                                                            | ~ theme(U,W,V)
                                                                                                                            | ~ proposition(U,V)
                                                                                                                            | ~ accessible_world(U,V)
                                                                                                                            | ~ think_believe_consider(U,W) )
                                                                                                                        <=> ( ~ think_believe_consider(U,W)
                                                                                                                            | ~ present(U,W)
                                                                                                                            | ~ event(U,W)
                                                                                                                            | ~ theme(U,W,V)
                                                                                                                            | ~ proposition(U,V)
                                                                                                                            | ~ accessible_world(U,V) ) )),
                                                                                                                        ( ( ~ accessible_world(U,V)
                                                                                                                          | ~ proposition(U,V)
                                                                                                                          | ~ theme(U,W,V)
                                                                                                                          | ~ event(U,W)
                                                                                                                          | ~ present(U,W)
                                                                                                                          | ~ think_believe_consider(U,W) )
                                                                                                                      <=> ( ~ think_believe_consider(U,W)
                                                                                                                          | ~ present(U,W)
                                                                                                                          | ~ event(U,W)
                                                                                                                          | ~ theme(U,W,V)
                                                                                                                          | ~ proposition(U,V)
                                                                                                                          | ~ accessible_world(U,V) ) )),
                                                                                                                      ( ( ~ accessible_world(U,V)
                                                                                                                        | ~ proposition(U,V)
                                                                                                                        | ~ theme(U,W,V)
                                                                                                                        | ~ event(U,W)
                                                                                                                        | ~ present(U,W)
                                                                                                                        | ~ think_believe_consider(U,W)
                                                                                                                        | ~ forename(U,X) )
                                                                                                                    <=> ( ~ think_believe_consider(U,W)
                                                                                                                        | ~ present(U,W)
                                                                                                                        | ~ event(U,W)
                                                                                                                        | ~ theme(U,W,V)
                                                                                                                        | ~ proposition(U,V)
                                                                                                                        | ~ accessible_world(U,V)
                                                                                                                        | ~ forename(U,X) ) )),
                                                                                                                    rewrite(
                                                                                                                      ( ( ~ think_believe_consider(U,W)
                                                                                                                        | ~ present(U,W)
                                                                                                                        | ~ event(U,W)
                                                                                                                        | ~ theme(U,W,V)
                                                                                                                        | ~ proposition(U,V)
                                                                                                                        | ~ accessible_world(U,V)
                                                                                                                        | ~ forename(U,X) )
                                                                                                                    <=> ( ~ forename(U,X)
                                                                                                                        | ~ think_believe_consider(U,W)
                                                                                                                        | ~ present(U,W)
                                                                                                                        | ~ event(U,W)
                                                                                                                        | ~ theme(U,W,V)
                                                                                                                        | ~ proposition(U,V)
                                                                                                                        | ~ accessible_world(U,V) ) )),
                                                                                                                    ( ( ~ accessible_world(U,V)
                                                                                                                      | ~ proposition(U,V)
                                                                                                                      | ~ theme(U,W,V)
                                                                                                                      | ~ event(U,W)
                                                                                                                      | ~ present(U,W)
                                                                                                                      | ~ think_believe_consider(U,W)
                                                                                                                      | ~ forename(U,X) )
                                                                                                                  <=> ( ~ forename(U,X)
                                                                                                                      | ~ think_believe_consider(U,W)
                                                                                                                      | ~ present(U,W)
                                                                                                                      | ~ event(U,W)
                                                                                                                      | ~ theme(U,W,V)
                                                                                                                      | ~ proposition(U,V)
                                                                                                                      | ~ accessible_world(U,V) ) )),
                                                                                                                  ( ( ~ accessible_world(U,V)
                                                                                                                    | ~ proposition(U,V)
                                                                                                                    | ~ theme(U,W,V)
                                                                                                                    | ~ event(U,W)
                                                                                                                    | ~ present(U,W)
                                                                                                                    | ~ think_believe_consider(U,W)
                                                                                                                    | ~ forename(U,X)
                                                                                                                    | ~ vincent_forename(U,X) )
                                                                                                                <=> ( ~ forename(U,X)
                                                                                                                    | ~ think_believe_consider(U,W)
                                                                                                                    | ~ present(U,W)
                                                                                                                    | ~ event(U,W)
                                                                                                                    | ~ theme(U,W,V)
                                                                                                                    | ~ proposition(U,V)
                                                                                                                    | ~ accessible_world(U,V)
                                                                                                                    | ~ vincent_forename(U,X) ) )),
                                                                                                                rewrite(
                                                                                                                  ( ( ~ forename(U,X)
                                                                                                                    | ~ think_believe_consider(U,W)
                                                                                                                    | ~ present(U,W)
                                                                                                                    | ~ event(U,W)
                                                                                                                    | ~ theme(U,W,V)
                                                                                                                    | ~ proposition(U,V)
                                                                                                                    | ~ accessible_world(U,V)
                                                                                                                    | ~ vincent_forename(U,X) )
                                                                                                                <=> ( ~ vincent_forename(U,X)
                                                                                                                    | ~ forename(U,X)
                                                                                                                    | ~ think_believe_consider(U,W)
                                                                                                                    | ~ present(U,W)
                                                                                                                    | ~ event(U,W)
                                                                                                                    | ~ theme(U,W,V)
                                                                                                                    | ~ proposition(U,V)
                                                                                                                    | ~ accessible_world(U,V) ) )),
                                                                                                                ( ( ~ accessible_world(U,V)
                                                                                                                  | ~ proposition(U,V)
                                                                                                                  | ~ theme(U,W,V)
                                                                                                                  | ~ event(U,W)
                                                                                                                  | ~ present(U,W)
                                                                                                                  | ~ think_believe_consider(U,W)
                                                                                                                  | ~ forename(U,X)
                                                                                                                  | ~ vincent_forename(U,X) )
                                                                                                              <=> ( ~ vincent_forename(U,X)
                                                                                                                  | ~ forename(U,X)
                                                                                                                  | ~ think_believe_consider(U,W)
                                                                                                                  | ~ present(U,W)
                                                                                                                  | ~ event(U,W)
                                                                                                                  | ~ theme(U,W,V)
                                                                                                                  | ~ proposition(U,V)
                                                                                                                  | ~ accessible_world(U,V) ) )),
                                                                                                              ( ( ~ accessible_world(U,V)
                                                                                                                | ~ proposition(U,V)
                                                                                                                | ~ theme(U,W,V)
                                                                                                                | ~ event(U,W)
                                                                                                                | ~ present(U,W)
                                                                                                                | ~ think_believe_consider(U,W)
                                                                                                                | ~ forename(U,X)
                                                                                                                | ~ vincent_forename(U,X)
                                                                                                                | ~ of(U,X,Y) )
                                                                                                            <=> ( ~ vincent_forename(U,X)
                                                                                                                | ~ forename(U,X)
                                                                                                                | ~ think_believe_consider(U,W)
                                                                                                                | ~ present(U,W)
                                                                                                                | ~ event(U,W)
                                                                                                                | ~ theme(U,W,V)
                                                                                                                | ~ proposition(U,V)
                                                                                                                | ~ accessible_world(U,V)
                                                                                                                | ~ of(U,X,Y) ) )),
                                                                                                            rewrite(
                                                                                                              ( ( ~ vincent_forename(U,X)
                                                                                                                | ~ forename(U,X)
                                                                                                                | ~ think_believe_consider(U,W)
                                                                                                                | ~ present(U,W)
                                                                                                                | ~ event(U,W)
                                                                                                                | ~ theme(U,W,V)
                                                                                                                | ~ proposition(U,V)
                                                                                                                | ~ accessible_world(U,V)
                                                                                                                | ~ of(U,X,Y) )
                                                                                                            <=> ( ~ of(U,X,Y)
                                                                                                                | ~ vincent_forename(U,X)
                                                                                                                | ~ forename(U,X)
                                                                                                                | ~ think_believe_consider(U,W)
                                                                                                                | ~ present(U,W)
                                                                                                                | ~ event(U,W)
                                                                                                                | ~ theme(U,W,V)
                                                                                                                | ~ proposition(U,V)
                                                                                                                | ~ accessible_world(U,V) ) )),
                                                                                                            ( ( ~ accessible_world(U,V)
                                                                                                              | ~ proposition(U,V)
                                                                                                              | ~ theme(U,W,V)
                                                                                                              | ~ event(U,W)
                                                                                                              | ~ present(U,W)
                                                                                                              | ~ think_believe_consider(U,W)
                                                                                                              | ~ forename(U,X)
                                                                                                              | ~ vincent_forename(U,X)
                                                                                                              | ~ of(U,X,Y) )
                                                                                                          <=> ( ~ of(U,X,Y)
                                                                                                              | ~ vincent_forename(U,X)
                                                                                                              | ~ forename(U,X)
                                                                                                              | ~ think_believe_consider(U,W)
                                                                                                              | ~ present(U,W)
                                                                                                              | ~ event(U,W)
                                                                                                              | ~ theme(U,W,V)
                                                                                                              | ~ proposition(U,V)
                                                                                                              | ~ accessible_world(U,V) ) )),
                                                                                                          ( ( ~ accessible_world(U,V)
                                                                                                            | ~ proposition(U,V)
                                                                                                            | ~ theme(U,W,V)
                                                                                                            | ~ event(U,W)
                                                                                                            | ~ present(U,W)
                                                                                                            | ~ think_believe_consider(U,W)
                                                                                                            | ~ forename(U,X)
                                                                                                            | ~ vincent_forename(U,X)
                                                                                                            | ~ of(U,X,Y)
                                                                                                            | ~ man(U,Y) )
                                                                                                        <=> ( ~ of(U,X,Y)
                                                                                                            | ~ vincent_forename(U,X)
                                                                                                            | ~ forename(U,X)
                                                                                                            | ~ think_believe_consider(U,W)
                                                                                                            | ~ present(U,W)
                                                                                                            | ~ event(U,W)
                                                                                                            | ~ theme(U,W,V)
                                                                                                            | ~ proposition(U,V)
                                                                                                            | ~ accessible_world(U,V)
                                                                                                            | ~ man(U,Y) ) )),
                                                                                                        rewrite(
                                                                                                          ( ( ~ of(U,X,Y)
                                                                                                            | ~ vincent_forename(U,X)
                                                                                                            | ~ forename(U,X)
                                                                                                            | ~ think_believe_consider(U,W)
                                                                                                            | ~ present(U,W)
                                                                                                            | ~ event(U,W)
                                                                                                            | ~ theme(U,W,V)
                                                                                                            | ~ proposition(U,V)
                                                                                                            | ~ accessible_world(U,V)
                                                                                                            | ~ man(U,Y) )
                                                                                                        <=> ( ~ man(U,Y)
                                                                                                            | ~ of(U,X,Y)
                                                                                                            | ~ vincent_forename(U,X)
                                                                                                            | ~ forename(U,X)
                                                                                                            | ~ think_believe_consider(U,W)
                                                                                                            | ~ present(U,W)
                                                                                                            | ~ event(U,W)
                                                                                                            | ~ theme(U,W,V)
                                                                                                            | ~ proposition(U,V)
                                                                                                            | ~ accessible_world(U,V) ) )),
                                                                                                        ( ( ~ accessible_world(U,V)
                                                                                                          | ~ proposition(U,V)
                                                                                                          | ~ theme(U,W,V)
                                                                                                          | ~ event(U,W)
                                                                                                          | ~ present(U,W)
                                                                                                          | ~ think_believe_consider(U,W)
                                                                                                          | ~ forename(U,X)
                                                                                                          | ~ vincent_forename(U,X)
                                                                                                          | ~ of(U,X,Y)
                                                                                                          | ~ man(U,Y) )
                                                                                                      <=> ( ~ man(U,Y)
                                                                                                          | ~ of(U,X,Y)
                                                                                                          | ~ vincent_forename(U,X)
                                                                                                          | ~ forename(U,X)
                                                                                                          | ~ think_believe_consider(U,W)
                                                                                                          | ~ present(U,W)
                                                                                                          | ~ event(U,W)
                                                                                                          | ~ theme(U,W,V)
                                                                                                          | ~ proposition(U,V)
                                                                                                          | ~ accessible_world(U,V) ) )),
                                                                                                      ( ( ~ accessible_world(U,V)
                                                                                                        | ~ proposition(U,V)
                                                                                                        | ~ theme(U,W,V)
                                                                                                        | ~ event(U,W)
                                                                                                        | ~ present(U,W)
                                                                                                        | ~ think_believe_consider(U,W)
                                                                                                        | ~ forename(U,X)
                                                                                                        | ~ vincent_forename(U,X)
                                                                                                        | ~ of(U,X,Y)
                                                                                                        | ~ man(U,Y)
                                                                                                        | ~ agent(U,W,Y) )
                                                                                                    <=> ( ~ man(U,Y)
                                                                                                        | ~ of(U,X,Y)
                                                                                                        | ~ vincent_forename(U,X)
                                                                                                        | ~ forename(U,X)
                                                                                                        | ~ think_believe_consider(U,W)
                                                                                                        | ~ present(U,W)
                                                                                                        | ~ event(U,W)
                                                                                                        | ~ theme(U,W,V)
                                                                                                        | ~ proposition(U,V)
                                                                                                        | ~ accessible_world(U,V)
                                                                                                        | ~ agent(U,W,Y) ) )),
                                                                                                    rewrite(
                                                                                                      ( ( ~ man(U,Y)
                                                                                                        | ~ of(U,X,Y)
                                                                                                        | ~ vincent_forename(U,X)
                                                                                                        | ~ forename(U,X)
                                                                                                        | ~ think_believe_consider(U,W)
                                                                                                        | ~ present(U,W)
                                                                                                        | ~ event(U,W)
                                                                                                        | ~ theme(U,W,V)
                                                                                                        | ~ proposition(U,V)
                                                                                                        | ~ accessible_world(U,V)
                                                                                                        | ~ agent(U,W,Y) )
                                                                                                    <=> ( ~ agent(U,W,Y)
                                                                                                        | ~ man(U,Y)
                                                                                                        | ~ of(U,X,Y)
                                                                                                        | ~ vincent_forename(U,X)
                                                                                                        | ~ forename(U,X)
                                                                                                        | ~ think_believe_consider(U,W)
                                                                                                        | ~ present(U,W)
                                                                                                        | ~ event(U,W)
                                                                                                        | ~ theme(U,W,V)
                                                                                                        | ~ proposition(U,V)
                                                                                                        | ~ accessible_world(U,V) ) )),
                                                                                                    ( ( ~ accessible_world(U,V)
                                                                                                      | ~ proposition(U,V)
                                                                                                      | ~ theme(U,W,V)
                                                                                                      | ~ event(U,W)
                                                                                                      | ~ present(U,W)
                                                                                                      | ~ think_believe_consider(U,W)
                                                                                                      | ~ forename(U,X)
                                                                                                      | ~ vincent_forename(U,X)
                                                                                                      | ~ of(U,X,Y)
                                                                                                      | ~ man(U,Y)
                                                                                                      | ~ agent(U,W,Y) )
                                                                                                  <=> ( ~ agent(U,W,Y)
                                                                                                      | ~ man(U,Y)
                                                                                                      | ~ of(U,X,Y)
                                                                                                      | ~ vincent_forename(U,X)
                                                                                                      | ~ forename(U,X)
                                                                                                      | ~ think_believe_consider(U,W)
                                                                                                      | ~ present(U,W)
                                                                                                      | ~ event(U,W)
                                                                                                      | ~ theme(U,W,V)
                                                                                                      | ~ proposition(U,V)
                                                                                                      | ~ accessible_world(U,V) ) )),
                                                                                                  ( ( ~ accessible_world(U,V)
                                                                                                    | ~ proposition(U,V)
                                                                                                    | ~ theme(U,W,V)
                                                                                                    | ~ event(U,W)
                                                                                                    | ~ present(U,W)
                                                                                                    | ~ think_believe_consider(U,W)
                                                                                                    | ~ forename(U,X)
                                                                                                    | ~ vincent_forename(U,X)
                                                                                                    | ~ of(U,X,Y)
                                                                                                    | ~ man(U,Y)
                                                                                                    | ~ agent(U,W,Y)
                                                                                                    | ~ state(U,Z) )
                                                                                                <=> ( ~ agent(U,W,Y)
                                                                                                    | ~ man(U,Y)
                                                                                                    | ~ of(U,X,Y)
                                                                                                    | ~ vincent_forename(U,X)
                                                                                                    | ~ forename(U,X)
                                                                                                    | ~ think_believe_consider(U,W)
                                                                                                    | ~ present(U,W)
                                                                                                    | ~ event(U,W)
                                                                                                    | ~ theme(U,W,V)
                                                                                                    | ~ proposition(U,V)
                                                                                                    | ~ accessible_world(U,V)
                                                                                                    | ~ state(U,Z) ) )),
                                                                                                rewrite(
                                                                                                  ( ( ~ agent(U,W,Y)
                                                                                                    | ~ man(U,Y)
                                                                                                    | ~ of(U,X,Y)
                                                                                                    | ~ vincent_forename(U,X)
                                                                                                    | ~ forename(U,X)
                                                                                                    | ~ think_believe_consider(U,W)
                                                                                                    | ~ present(U,W)
                                                                                                    | ~ event(U,W)
                                                                                                    | ~ theme(U,W,V)
                                                                                                    | ~ proposition(U,V)
                                                                                                    | ~ accessible_world(U,V)
                                                                                                    | ~ state(U,Z) )
                                                                                                <=> ( ~ state(U,Z)
                                                                                                    | ~ agent(U,W,Y)
                                                                                                    | ~ man(U,Y)
                                                                                                    | ~ of(U,X,Y)
                                                                                                    | ~ vincent_forename(U,X)
                                                                                                    | ~ forename(U,X)
                                                                                                    | ~ think_believe_consider(U,W)
                                                                                                    | ~ present(U,W)
                                                                                                    | ~ event(U,W)
                                                                                                    | ~ theme(U,W,V)
                                                                                                    | ~ proposition(U,V)
                                                                                                    | ~ accessible_world(U,V) ) )),
                                                                                                ( ( ~ accessible_world(U,V)
                                                                                                  | ~ proposition(U,V)
                                                                                                  | ~ theme(U,W,V)
                                                                                                  | ~ event(U,W)
                                                                                                  | ~ present(U,W)
                                                                                                  | ~ think_believe_consider(U,W)
                                                                                                  | ~ forename(U,X)
                                                                                                  | ~ vincent_forename(U,X)
                                                                                                  | ~ of(U,X,Y)
                                                                                                  | ~ man(U,Y)
                                                                                                  | ~ agent(U,W,Y)
                                                                                                  | ~ state(U,Z) )
                                                                                              <=> ( ~ state(U,Z)
                                                                                                  | ~ agent(U,W,Y)
                                                                                                  | ~ man(U,Y)
                                                                                                  | ~ of(U,X,Y)
                                                                                                  | ~ vincent_forename(U,X)
                                                                                                  | ~ forename(U,X)
                                                                                                  | ~ think_believe_consider(U,W)
                                                                                                  | ~ present(U,W)
                                                                                                  | ~ event(U,W)
                                                                                                  | ~ theme(U,W,V)
                                                                                                  | ~ proposition(U,V)
                                                                                                  | ~ accessible_world(U,V) ) )),
                                                                                              ( ( ~ accessible_world(U,V)
                                                                                                | ~ proposition(U,V)
                                                                                                | ~ theme(U,W,V)
                                                                                                | ~ event(U,W)
                                                                                                | ~ present(U,W)
                                                                                                | ~ think_believe_consider(U,W)
                                                                                                | ~ forename(U,X)
                                                                                                | ~ vincent_forename(U,X)
                                                                                                | ~ of(U,X,Y)
                                                                                                | ~ man(U,Y)
                                                                                                | ~ agent(U,W,Y)
                                                                                                | ~ state(U,Z)
                                                                                                | ~ smoke(X1,X2) )
                                                                                            <=> ( ~ state(U,Z)
                                                                                                | ~ agent(U,W,Y)
                                                                                                | ~ man(U,Y)
                                                                                                | ~ of(U,X,Y)
                                                                                                | ~ vincent_forename(U,X)
                                                                                                | ~ forename(U,X)
                                                                                                | ~ think_believe_consider(U,W)
                                                                                                | ~ present(U,W)
                                                                                                | ~ event(U,W)
                                                                                                | ~ theme(U,W,V)
                                                                                                | ~ proposition(U,V)
                                                                                                | ~ accessible_world(U,V)
                                                                                                | ~ smoke(X1,X2) ) )),
                                                                                            rewrite(
                                                                                              ( ( ~ state(U,Z)
                                                                                                | ~ agent(U,W,Y)
                                                                                                | ~ man(U,Y)
                                                                                                | ~ of(U,X,Y)
                                                                                                | ~ vincent_forename(U,X)
                                                                                                | ~ forename(U,X)
                                                                                                | ~ think_believe_consider(U,W)
                                                                                                | ~ present(U,W)
                                                                                                | ~ event(U,W)
                                                                                                | ~ theme(U,W,V)
                                                                                                | ~ proposition(U,V)
                                                                                                | ~ accessible_world(U,V)
                                                                                                | ~ smoke(X1,X2) )
                                                                                            <=> ( ~ smoke(X1,X2)
                                                                                                | ~ state(U,Z)
                                                                                                | ~ agent(U,W,Y)
                                                                                                | ~ man(U,Y)
                                                                                                | ~ of(U,X,Y)
                                                                                                | ~ vincent_forename(U,X)
                                                                                                | ~ forename(U,X)
                                                                                                | ~ think_believe_consider(U,W)
                                                                                                | ~ present(U,W)
                                                                                                | ~ event(U,W)
                                                                                                | ~ theme(U,W,V)
                                                                                                | ~ proposition(U,V)
                                                                                                | ~ accessible_world(U,V) ) )),
                                                                                            ( ( ~ accessible_world(U,V)
                                                                                              | ~ proposition(U,V)
                                                                                              | ~ theme(U,W,V)
                                                                                              | ~ event(U,W)
                                                                                              | ~ present(U,W)
                                                                                              | ~ think_believe_consider(U,W)
                                                                                              | ~ forename(U,X)
                                                                                              | ~ vincent_forename(U,X)
                                                                                              | ~ of(U,X,Y)
                                                                                              | ~ man(U,Y)
                                                                                              | ~ agent(U,W,Y)
                                                                                              | ~ state(U,Z)
                                                                                              | ~ smoke(X1,X2) )
                                                                                          <=> ( ~ smoke(X1,X2)
                                                                                              | ~ state(U,Z)
                                                                                              | ~ agent(U,W,Y)
                                                                                              | ~ man(U,Y)
                                                                                              | ~ of(U,X,Y)
                                                                                              | ~ vincent_forename(U,X)
                                                                                              | ~ forename(U,X)
                                                                                              | ~ think_believe_consider(U,W)
                                                                                              | ~ present(U,W)
                                                                                              | ~ event(U,W)
                                                                                              | ~ theme(U,W,V)
                                                                                              | ~ proposition(U,V)
                                                                                              | ~ accessible_world(U,V) ) )),
                                                                                          ( ( ~ accessible_world(U,V)
                                                                                            | ~ proposition(U,V)
                                                                                            | ~ theme(U,W,V)
                                                                                            | ~ event(U,W)
                                                                                            | ~ present(U,W)
                                                                                            | ~ think_believe_consider(U,W)
                                                                                            | ~ forename(U,X)
                                                                                            | ~ vincent_forename(U,X)
                                                                                            | ~ of(U,X,Y)
                                                                                            | ~ man(U,Y)
                                                                                            | ~ agent(U,W,Y)
                                                                                            | ~ state(U,Z)
                                                                                            | ~ smoke(X1,X2)
                                                                                            | ~ present(X1,X2) )
                                                                                        <=> ( ~ smoke(X1,X2)
                                                                                            | ~ state(U,Z)
                                                                                            | ~ agent(U,W,Y)
                                                                                            | ~ man(U,Y)
                                                                                            | ~ of(U,X,Y)
                                                                                            | ~ vincent_forename(U,X)
                                                                                            | ~ forename(U,X)
                                                                                            | ~ think_believe_consider(U,W)
                                                                                            | ~ present(U,W)
                                                                                            | ~ event(U,W)
                                                                                            | ~ theme(U,W,V)
                                                                                            | ~ proposition(U,V)
                                                                                            | ~ accessible_world(U,V)
                                                                                            | ~ present(X1,X2) ) )),
                                                                                        rewrite(
                                                                                          ( ( ~ smoke(X1,X2)
                                                                                            | ~ state(U,Z)
                                                                                            | ~ agent(U,W,Y)
                                                                                            | ~ man(U,Y)
                                                                                            | ~ of(U,X,Y)
                                                                                            | ~ vincent_forename(U,X)
                                                                                            | ~ forename(U,X)
                                                                                            | ~ think_believe_consider(U,W)
                                                                                            | ~ present(U,W)
                                                                                            | ~ event(U,W)
                                                                                            | ~ theme(U,W,V)
                                                                                            | ~ proposition(U,V)
                                                                                            | ~ accessible_world(U,V)
                                                                                            | ~ present(X1,X2) )
                                                                                        <=> ( ~ present(X1,X2)
                                                                                            | ~ smoke(X1,X2)
                                                                                            | ~ state(U,Z)
                                                                                            | ~ agent(U,W,Y)
                                                                                            | ~ man(U,Y)
                                                                                            | ~ of(U,X,Y)
                                                                                            | ~ vincent_forename(U,X)
                                                                                            | ~ forename(U,X)
                                                                                            | ~ think_believe_consider(U,W)
                                                                                            | ~ present(U,W)
                                                                                            | ~ event(U,W)
                                                                                            | ~ theme(U,W,V)
                                                                                            | ~ proposition(U,V)
                                                                                            | ~ accessible_world(U,V) ) )),
                                                                                        ( ( ~ accessible_world(U,V)
                                                                                          | ~ proposition(U,V)
                                                                                          | ~ theme(U,W,V)
                                                                                          | ~ event(U,W)
                                                                                          | ~ present(U,W)
                                                                                          | ~ think_believe_consider(U,W)
                                                                                          | ~ forename(U,X)
                                                                                          | ~ vincent_forename(U,X)
                                                                                          | ~ of(U,X,Y)
                                                                                          | ~ man(U,Y)
                                                                                          | ~ agent(U,W,Y)
                                                                                          | ~ state(U,Z)
                                                                                          | ~ smoke(X1,X2)
                                                                                          | ~ present(X1,X2) )
                                                                                      <=> ( ~ present(X1,X2)
                                                                                          | ~ smoke(X1,X2)
                                                                                          | ~ state(U,Z)
                                                                                          | ~ agent(U,W,Y)
                                                                                          | ~ man(U,Y)
                                                                                          | ~ of(U,X,Y)
                                                                                          | ~ vincent_forename(U,X)
                                                                                          | ~ forename(U,X)
                                                                                          | ~ think_believe_consider(U,W)
                                                                                          | ~ present(U,W)
                                                                                          | ~ event(U,W)
                                                                                          | ~ theme(U,W,V)
                                                                                          | ~ proposition(U,V)
                                                                                          | ~ accessible_world(U,V) ) )),
                                                                                      ( ( ~ accessible_world(U,V)
                                                                                        | ~ proposition(U,V)
                                                                                        | ~ theme(U,W,V)
                                                                                        | ~ event(U,W)
                                                                                        | ~ present(U,W)
                                                                                        | ~ think_believe_consider(U,W)
                                                                                        | ~ forename(U,X)
                                                                                        | ~ vincent_forename(U,X)
                                                                                        | ~ of(U,X,Y)
                                                                                        | ~ man(U,Y)
                                                                                        | ~ agent(U,W,Y)
                                                                                        | ~ state(U,Z)
                                                                                        | ~ smoke(X1,X2)
                                                                                        | ~ present(X1,X2)
                                                                                        | ~ agent(X1,X2,X3) )
                                                                                    <=> ( ~ present(X1,X2)
                                                                                        | ~ smoke(X1,X2)
                                                                                        | ~ state(U,Z)
                                                                                        | ~ agent(U,W,Y)
                                                                                        | ~ man(U,Y)
                                                                                        | ~ of(U,X,Y)
                                                                                        | ~ vincent_forename(U,X)
                                                                                        | ~ forename(U,X)
                                                                                        | ~ think_believe_consider(U,W)
                                                                                        | ~ present(U,W)
                                                                                        | ~ event(U,W)
                                                                                        | ~ theme(U,W,V)
                                                                                        | ~ proposition(U,V)
                                                                                        | ~ accessible_world(U,V)
                                                                                        | ~ agent(X1,X2,X3) ) )),
                                                                                    rewrite(
                                                                                      ( ( ~ present(X1,X2)
                                                                                        | ~ smoke(X1,X2)
                                                                                        | ~ state(U,Z)
                                                                                        | ~ agent(U,W,Y)
                                                                                        | ~ man(U,Y)
                                                                                        | ~ of(U,X,Y)
                                                                                        | ~ vincent_forename(U,X)
                                                                                        | ~ forename(U,X)
                                                                                        | ~ think_believe_consider(U,W)
                                                                                        | ~ present(U,W)
                                                                                        | ~ event(U,W)
                                                                                        | ~ theme(U,W,V)
                                                                                        | ~ proposition(U,V)
                                                                                        | ~ accessible_world(U,V)
                                                                                        | ~ agent(X1,X2,X3) )
                                                                                    <=> ( ~ agent(X1,X2,X3)
                                                                                        | ~ present(X1,X2)
                                                                                        | ~ smoke(X1,X2)
                                                                                        | ~ state(U,Z)
                                                                                        | ~ agent(U,W,Y)
                                                                                        | ~ man(U,Y)
                                                                                        | ~ of(U,X,Y)
                                                                                        | ~ vincent_forename(U,X)
                                                                                        | ~ forename(U,X)
                                                                                        | ~ think_believe_consider(U,W)
                                                                                        | ~ present(U,W)
                                                                                        | ~ event(U,W)
                                                                                        | ~ theme(U,W,V)
                                                                                        | ~ proposition(U,V)
                                                                                        | ~ accessible_world(U,V) ) )),
                                                                                    ( ( ~ accessible_world(U,V)
                                                                                      | ~ proposition(U,V)
                                                                                      | ~ theme(U,W,V)
                                                                                      | ~ event(U,W)
                                                                                      | ~ present(U,W)
                                                                                      | ~ think_believe_consider(U,W)
                                                                                      | ~ forename(U,X)
                                                                                      | ~ vincent_forename(U,X)
                                                                                      | ~ of(U,X,Y)
                                                                                      | ~ man(U,Y)
                                                                                      | ~ agent(U,W,Y)
                                                                                      | ~ state(U,Z)
                                                                                      | ~ smoke(X1,X2)
                                                                                      | ~ present(X1,X2)
                                                                                      | ~ agent(X1,X2,X3) )
                                                                                  <=> ( ~ agent(X1,X2,X3)
                                                                                      | ~ present(X1,X2)
                                                                                      | ~ smoke(X1,X2)
                                                                                      | ~ state(U,Z)
                                                                                      | ~ agent(U,W,Y)
                                                                                      | ~ man(U,Y)
                                                                                      | ~ of(U,X,Y)
                                                                                      | ~ vincent_forename(U,X)
                                                                                      | ~ forename(U,X)
                                                                                      | ~ think_believe_consider(U,W)
                                                                                      | ~ present(U,W)
                                                                                      | ~ event(U,W)
                                                                                      | ~ theme(U,W,V)
                                                                                      | ~ proposition(U,V)
                                                                                      | ~ accessible_world(U,V) ) )),
                                                                                  ( ( ~ accessible_world(U,V)
                                                                                    | ~ proposition(U,V)
                                                                                    | ~ theme(U,W,V)
                                                                                    | ~ event(U,W)
                                                                                    | ~ present(U,W)
                                                                                    | ~ think_believe_consider(U,W)
                                                                                    | ~ forename(U,X)
                                                                                    | ~ vincent_forename(U,X)
                                                                                    | ~ of(U,X,Y)
                                                                                    | ~ man(U,Y)
                                                                                    | ~ agent(U,W,Y)
                                                                                    | ~ state(U,Z)
                                                                                    | ~ smoke(X1,X2)
                                                                                    | ~ present(X1,X2)
                                                                                    | ~ agent(X1,X2,X3)
                                                                                    | ~ event(X1,X2) )
                                                                                <=> ( ~ agent(X1,X2,X3)
                                                                                    | ~ present(X1,X2)
                                                                                    | ~ smoke(X1,X2)
                                                                                    | ~ state(U,Z)
                                                                                    | ~ agent(U,W,Y)
                                                                                    | ~ man(U,Y)
                                                                                    | ~ of(U,X,Y)
                                                                                    | ~ vincent_forename(U,X)
                                                                                    | ~ forename(U,X)
                                                                                    | ~ think_believe_consider(U,W)
                                                                                    | ~ present(U,W)
                                                                                    | ~ event(U,W)
                                                                                    | ~ theme(U,W,V)
                                                                                    | ~ proposition(U,V)
                                                                                    | ~ accessible_world(U,V)
                                                                                    | ~ event(X1,X2) ) )),
                                                                                rewrite(
                                                                                  ( ( ~ agent(X1,X2,X3)
                                                                                    | ~ present(X1,X2)
                                                                                    | ~ smoke(X1,X2)
                                                                                    | ~ state(U,Z)
                                                                                    | ~ agent(U,W,Y)
                                                                                    | ~ man(U,Y)
                                                                                    | ~ of(U,X,Y)
                                                                                    | ~ vincent_forename(U,X)
                                                                                    | ~ forename(U,X)
                                                                                    | ~ think_believe_consider(U,W)
                                                                                    | ~ present(U,W)
                                                                                    | ~ event(U,W)
                                                                                    | ~ theme(U,W,V)
                                                                                    | ~ proposition(U,V)
                                                                                    | ~ accessible_world(U,V)
                                                                                    | ~ event(X1,X2) )
                                                                                <=> ( ~ event(X1,X2)
                                                                                    | ~ agent(X1,X2,X3)
                                                                                    | ~ present(X1,X2)
                                                                                    | ~ smoke(X1,X2)
                                                                                    | ~ state(U,Z)
                                                                                    | ~ agent(U,W,Y)
                                                                                    | ~ man(U,Y)
                                                                                    | ~ of(U,X,Y)
                                                                                    | ~ vincent_forename(U,X)
                                                                                    | ~ forename(U,X)
                                                                                    | ~ think_believe_consider(U,W)
                                                                                    | ~ present(U,W)
                                                                                    | ~ event(U,W)
                                                                                    | ~ theme(U,W,V)
                                                                                    | ~ proposition(U,V)
                                                                                    | ~ accessible_world(U,V) ) )),
                                                                                ( ( ~ accessible_world(U,V)
                                                                                  | ~ proposition(U,V)
                                                                                  | ~ theme(U,W,V)
                                                                                  | ~ event(U,W)
                                                                                  | ~ present(U,W)
                                                                                  | ~ think_believe_consider(U,W)
                                                                                  | ~ forename(U,X)
                                                                                  | ~ vincent_forename(U,X)
                                                                                  | ~ of(U,X,Y)
                                                                                  | ~ man(U,Y)
                                                                                  | ~ agent(U,W,Y)
                                                                                  | ~ state(U,Z)
                                                                                  | ~ smoke(X1,X2)
                                                                                  | ~ present(X1,X2)
                                                                                  | ~ agent(X1,X2,X3)
                                                                                  | ~ event(X1,X2) )
                                                                              <=> ( ~ event(X1,X2)
                                                                                  | ~ agent(X1,X2,X3)
                                                                                  | ~ present(X1,X2)
                                                                                  | ~ smoke(X1,X2)
                                                                                  | ~ state(U,Z)
                                                                                  | ~ agent(U,W,Y)
                                                                                  | ~ man(U,Y)
                                                                                  | ~ of(U,X,Y)
                                                                                  | ~ vincent_forename(U,X)
                                                                                  | ~ forename(U,X)
                                                                                  | ~ think_believe_consider(U,W)
                                                                                  | ~ present(U,W)
                                                                                  | ~ event(U,W)
                                                                                  | ~ theme(U,W,V)
                                                                                  | ~ proposition(U,V)
                                                                                  | ~ accessible_world(U,V) ) )),
                                                                              ( ( ~ accessible_world(U,V)
                                                                                | ~ proposition(U,V)
                                                                                | ~ theme(U,W,V)
                                                                                | ~ event(U,W)
                                                                                | ~ present(U,W)
                                                                                | ~ think_believe_consider(U,W)
                                                                                | ~ forename(U,X)
                                                                                | ~ vincent_forename(U,X)
                                                                                | ~ of(U,X,Y)
                                                                                | ~ man(U,Y)
                                                                                | ~ agent(U,W,Y)
                                                                                | ~ state(U,Z)
                                                                                | ~ smoke(X1,X2)
                                                                                | ~ present(X1,X2)
                                                                                | ~ agent(X1,X2,X3)
                                                                                | ~ event(X1,X2)
                                                                                | ~ be(U,Z,X3,X3) )
                                                                            <=> ( ~ event(X1,X2)
                                                                                | ~ agent(X1,X2,X3)
                                                                                | ~ present(X1,X2)
                                                                                | ~ smoke(X1,X2)
                                                                                | ~ state(U,Z)
                                                                                | ~ agent(U,W,Y)
                                                                                | ~ man(U,Y)
                                                                                | ~ of(U,X,Y)
                                                                                | ~ vincent_forename(U,X)
                                                                                | ~ forename(U,X)
                                                                                | ~ think_believe_consider(U,W)
                                                                                | ~ present(U,W)
                                                                                | ~ event(U,W)
                                                                                | ~ theme(U,W,V)
                                                                                | ~ proposition(U,V)
                                                                                | ~ accessible_world(U,V)
                                                                                | ~ be(U,Z,X3,X3) ) )),
                                                                            rewrite(
                                                                              ( ( ~ event(X1,X2)
                                                                                | ~ agent(X1,X2,X3)
                                                                                | ~ present(X1,X2)
                                                                                | ~ smoke(X1,X2)
                                                                                | ~ state(U,Z)
                                                                                | ~ agent(U,W,Y)
                                                                                | ~ man(U,Y)
                                                                                | ~ of(U,X,Y)
                                                                                | ~ vincent_forename(U,X)
                                                                                | ~ forename(U,X)
                                                                                | ~ think_believe_consider(U,W)
                                                                                | ~ present(U,W)
                                                                                | ~ event(U,W)
                                                                                | ~ theme(U,W,V)
                                                                                | ~ proposition(U,V)
                                                                                | ~ accessible_world(U,V)
                                                                                | ~ be(U,Z,X3,X3) )
                                                                            <=> ( ~ be(U,Z,X3,X3)
                                                                                | ~ event(X1,X2)
                                                                                | ~ agent(X1,X2,X3)
                                                                                | ~ present(X1,X2)
                                                                                | ~ smoke(X1,X2)
                                                                                | ~ state(U,Z)
                                                                                | ~ agent(U,W,Y)
                                                                                | ~ man(U,Y)
                                                                                | ~ of(U,X,Y)
                                                                                | ~ vincent_forename(U,X)
                                                                                | ~ forename(U,X)
                                                                                | ~ think_believe_consider(U,W)
                                                                                | ~ present(U,W)
                                                                                | ~ event(U,W)
                                                                                | ~ theme(U,W,V)
                                                                                | ~ proposition(U,V)
                                                                                | ~ accessible_world(U,V) ) )),
                                                                            ( ( ~ accessible_world(U,V)
                                                                              | ~ proposition(U,V)
                                                                              | ~ theme(U,W,V)
                                                                              | ~ event(U,W)
                                                                              | ~ present(U,W)
                                                                              | ~ think_believe_consider(U,W)
                                                                              | ~ forename(U,X)
                                                                              | ~ vincent_forename(U,X)
                                                                              | ~ of(U,X,Y)
                                                                              | ~ man(U,Y)
                                                                              | ~ agent(U,W,Y)
                                                                              | ~ state(U,Z)
                                                                              | ~ smoke(X1,X2)
                                                                              | ~ present(X1,X2)
                                                                              | ~ agent(X1,X2,X3)
                                                                              | ~ event(X1,X2)
                                                                              | ~ be(U,Z,X3,X3) )
                                                                          <=> ( ~ be(U,Z,X3,X3)
                                                                              | ~ event(X1,X2)
                                                                              | ~ agent(X1,X2,X3)
                                                                              | ~ present(X1,X2)
                                                                              | ~ smoke(X1,X2)
                                                                              | ~ state(U,Z)
                                                                              | ~ agent(U,W,Y)
                                                                              | ~ man(U,Y)
                                                                              | ~ of(U,X,Y)
                                                                              | ~ vincent_forename(U,X)
                                                                              | ~ forename(U,X)
                                                                              | ~ think_believe_consider(U,W)
                                                                              | ~ present(U,W)
                                                                              | ~ event(U,W)
                                                                              | ~ theme(U,W,V)
                                                                              | ~ proposition(U,V)
                                                                              | ~ accessible_world(U,V) ) )),
                                                                          ( ( ~ accessible_world(U,V)
                                                                            | ~ proposition(U,V)
                                                                            | ~ theme(U,W,V)
                                                                            | ~ event(U,W)
                                                                            | ~ present(U,W)
                                                                            | ~ think_believe_consider(U,W)
                                                                            | ~ forename(U,X)
                                                                            | ~ vincent_forename(U,X)
                                                                            | ~ of(U,X,Y)
                                                                            | ~ man(U,Y)
                                                                            | ~ agent(U,W,Y)
                                                                            | ~ state(U,Z)
                                                                            | ~ smoke(X1,X2)
                                                                            | ~ present(X1,X2)
                                                                            | ~ agent(X1,X2,X3)
                                                                            | ~ event(X1,X2)
                                                                            | ~ be(U,Z,X3,X3)
                                                                            | ~ man(U,X3) )
                                                                        <=> ( ~ be(U,Z,X3,X3)
                                                                            | ~ event(X1,X2)
                                                                            | ~ agent(X1,X2,X3)
                                                                            | ~ present(X1,X2)
                                                                            | ~ smoke(X1,X2)
                                                                            | ~ state(U,Z)
                                                                            | ~ agent(U,W,Y)
                                                                            | ~ man(U,Y)
                                                                            | ~ of(U,X,Y)
                                                                            | ~ vincent_forename(U,X)
                                                                            | ~ forename(U,X)
                                                                            | ~ think_believe_consider(U,W)
                                                                            | ~ present(U,W)
                                                                            | ~ event(U,W)
                                                                            | ~ theme(U,W,V)
                                                                            | ~ proposition(U,V)
                                                                            | ~ accessible_world(U,V)
                                                                            | ~ man(U,X3) ) )),
                                                                        rewrite(
                                                                          ( ( ~ be(U,Z,X3,X3)
                                                                            | ~ event(X1,X2)
                                                                            | ~ agent(X1,X2,X3)
                                                                            | ~ present(X1,X2)
                                                                            | ~ smoke(X1,X2)
                                                                            | ~ state(U,Z)
                                                                            | ~ agent(U,W,Y)
                                                                            | ~ man(U,Y)
                                                                            | ~ of(U,X,Y)
                                                                            | ~ vincent_forename(U,X)
                                                                            | ~ forename(U,X)
                                                                            | ~ think_believe_consider(U,W)
                                                                            | ~ present(U,W)
                                                                            | ~ event(U,W)
                                                                            | ~ theme(U,W,V)
                                                                            | ~ proposition(U,V)
                                                                            | ~ accessible_world(U,V)
                                                                            | ~ man(U,X3) )
                                                                        <=> ( ~ man(U,X3)
                                                                            | ~ be(U,Z,X3,X3)
                                                                            | ~ event(X1,X2)
                                                                            | ~ agent(X1,X2,X3)
                                                                            | ~ present(X1,X2)
                                                                            | ~ smoke(X1,X2)
                                                                            | ~ state(U,Z)
                                                                            | ~ agent(U,W,Y)
                                                                            | ~ man(U,Y)
                                                                            | ~ of(U,X,Y)
                                                                            | ~ vincent_forename(U,X)
                                                                            | ~ forename(U,X)
                                                                            | ~ think_believe_consider(U,W)
                                                                            | ~ present(U,W)
                                                                            | ~ event(U,W)
                                                                            | ~ theme(U,W,V)
                                                                            | ~ proposition(U,V)
                                                                            | ~ accessible_world(U,V) ) )),
                                                                        ( ( ~ accessible_world(U,V)
                                                                          | ~ proposition(U,V)
                                                                          | ~ theme(U,W,V)
                                                                          | ~ event(U,W)
                                                                          | ~ present(U,W)
                                                                          | ~ think_believe_consider(U,W)
                                                                          | ~ forename(U,X)
                                                                          | ~ vincent_forename(U,X)
                                                                          | ~ of(U,X,Y)
                                                                          | ~ man(U,Y)
                                                                          | ~ agent(U,W,Y)
                                                                          | ~ state(U,Z)
                                                                          | ~ smoke(X1,X2)
                                                                          | ~ present(X1,X2)
                                                                          | ~ agent(X1,X2,X3)
                                                                          | ~ event(X1,X2)
                                                                          | ~ be(U,Z,X3,X3)
                                                                          | ~ man(U,X3) )
                                                                      <=> ( ~ man(U,X3)
                                                                          | ~ be(U,Z,X3,X3)
                                                                          | ~ event(X1,X2)
                                                                          | ~ agent(X1,X2,X3)
                                                                          | ~ present(X1,X2)
                                                                          | ~ smoke(X1,X2)
                                                                          | ~ state(U,Z)
                                                                          | ~ agent(U,W,Y)
                                                                          | ~ man(U,Y)
                                                                          | ~ of(U,X,Y)
                                                                          | ~ vincent_forename(U,X)
                                                                          | ~ forename(U,X)
                                                                          | ~ think_believe_consider(U,W)
                                                                          | ~ present(U,W)
                                                                          | ~ event(U,W)
                                                                          | ~ theme(U,W,V)
                                                                          | ~ proposition(U,V)
                                                                          | ~ accessible_world(U,V) ) )),
                                                                      ( ( ~ accessible_world(U,V)
                                                                        | ~ proposition(U,V)
                                                                        | ~ theme(U,W,V)
                                                                        | ~ event(U,W)
                                                                        | ~ present(U,W)
                                                                        | ~ think_believe_consider(U,W)
                                                                        | ~ forename(U,X)
                                                                        | ~ vincent_forename(U,X)
                                                                        | ~ of(U,X,Y)
                                                                        | ~ man(U,Y)
                                                                        | ~ agent(U,W,Y)
                                                                        | ~ state(U,Z)
                                                                        | ~ smoke(X1,X2)
                                                                        | ~ present(X1,X2)
                                                                        | ~ agent(X1,X2,X3)
                                                                        | ~ event(X1,X2)
                                                                        | ~ be(U,Z,X3,X3)
                                                                        | ~ man(U,X3)
                                                                        | ~ of(U,X4,X3) )
                                                                    <=> ( ~ man(U,X3)
                                                                        | ~ be(U,Z,X3,X3)
                                                                        | ~ event(X1,X2)
                                                                        | ~ agent(X1,X2,X3)
                                                                        | ~ present(X1,X2)
                                                                        | ~ smoke(X1,X2)
                                                                        | ~ state(U,Z)
                                                                        | ~ agent(U,W,Y)
                                                                        | ~ man(U,Y)
                                                                        | ~ of(U,X,Y)
                                                                        | ~ vincent_forename(U,X)
                                                                        | ~ forename(U,X)
                                                                        | ~ think_believe_consider(U,W)
                                                                        | ~ present(U,W)
                                                                        | ~ event(U,W)
                                                                        | ~ theme(U,W,V)
                                                                        | ~ proposition(U,V)
                                                                        | ~ accessible_world(U,V)
                                                                        | ~ of(U,X4,X3) ) )),
                                                                    rewrite(
                                                                      ( ( ~ man(U,X3)
                                                                        | ~ be(U,Z,X3,X3)
                                                                        | ~ event(X1,X2)
                                                                        | ~ agent(X1,X2,X3)
                                                                        | ~ present(X1,X2)
                                                                        | ~ smoke(X1,X2)
                                                                        | ~ state(U,Z)
                                                                        | ~ agent(U,W,Y)
                                                                        | ~ man(U,Y)
                                                                        | ~ of(U,X,Y)
                                                                        | ~ vincent_forename(U,X)
                                                                        | ~ forename(U,X)
                                                                        | ~ think_believe_consider(U,W)
                                                                        | ~ present(U,W)
                                                                        | ~ event(U,W)
                                                                        | ~ theme(U,W,V)
                                                                        | ~ proposition(U,V)
                                                                        | ~ accessible_world(U,V)
                                                                        | ~ of(U,X4,X3) )
                                                                    <=> ( ~ of(U,X4,X3)
                                                                        | ~ man(U,X3)
                                                                        | ~ be(U,Z,X3,X3)
                                                                        | ~ event(X1,X2)
                                                                        | ~ agent(X1,X2,X3)
                                                                        | ~ present(X1,X2)
                                                                        | ~ smoke(X1,X2)
                                                                        | ~ state(U,Z)
                                                                        | ~ agent(U,W,Y)
                                                                        | ~ man(U,Y)
                                                                        | ~ of(U,X,Y)
                                                                        | ~ vincent_forename(U,X)
                                                                        | ~ forename(U,X)
                                                                        | ~ think_believe_consider(U,W)
                                                                        | ~ present(U,W)
                                                                        | ~ event(U,W)
                                                                        | ~ theme(U,W,V)
                                                                        | ~ proposition(U,V)
                                                                        | ~ accessible_world(U,V) ) )),
                                                                    ( ( ~ accessible_world(U,V)
                                                                      | ~ proposition(U,V)
                                                                      | ~ theme(U,W,V)
                                                                      | ~ event(U,W)
                                                                      | ~ present(U,W)
                                                                      | ~ think_believe_consider(U,W)
                                                                      | ~ forename(U,X)
                                                                      | ~ vincent_forename(U,X)
                                                                      | ~ of(U,X,Y)
                                                                      | ~ man(U,Y)
                                                                      | ~ agent(U,W,Y)
                                                                      | ~ state(U,Z)
                                                                      | ~ smoke(X1,X2)
                                                                      | ~ present(X1,X2)
                                                                      | ~ agent(X1,X2,X3)
                                                                      | ~ event(X1,X2)
                                                                      | ~ be(U,Z,X3,X3)
                                                                      | ~ man(U,X3)
                                                                      | ~ of(U,X4,X3) )
                                                                  <=> ( ~ of(U,X4,X3)
                                                                      | ~ man(U,X3)
                                                                      | ~ be(U,Z,X3,X3)
                                                                      | ~ event(X1,X2)
                                                                      | ~ agent(X1,X2,X3)
                                                                      | ~ present(X1,X2)
                                                                      | ~ smoke(X1,X2)
                                                                      | ~ state(U,Z)
                                                                      | ~ agent(U,W,Y)
                                                                      | ~ man(U,Y)
                                                                      | ~ of(U,X,Y)
                                                                      | ~ vincent_forename(U,X)
                                                                      | ~ forename(U,X)
                                                                      | ~ think_believe_consider(U,W)
                                                                      | ~ present(U,W)
                                                                      | ~ event(U,W)
                                                                      | ~ theme(U,W,V)
                                                                      | ~ proposition(U,V)
                                                                      | ~ accessible_world(U,V) ) )),
                                                                  ( ( ~ accessible_world(U,V)
                                                                    | ~ proposition(U,V)
                                                                    | ~ theme(U,W,V)
                                                                    | ~ event(U,W)
                                                                    | ~ present(U,W)
                                                                    | ~ think_believe_consider(U,W)
                                                                    | ~ forename(U,X)
                                                                    | ~ vincent_forename(U,X)
                                                                    | ~ of(U,X,Y)
                                                                    | ~ man(U,Y)
                                                                    | ~ agent(U,W,Y)
                                                                    | ~ state(U,Z)
                                                                    | ~ smoke(X1,X2)
                                                                    | ~ present(X1,X2)
                                                                    | ~ agent(X1,X2,X3)
                                                                    | ~ event(X1,X2)
                                                                    | ~ be(U,Z,X3,X3)
                                                                    | ~ man(U,X3)
                                                                    | ~ of(U,X4,X3)
                                                                    | ~ jules_forename(U,X4) )
                                                                <=> ( ~ of(U,X4,X3)
                                                                    | ~ man(U,X3)
                                                                    | ~ be(U,Z,X3,X3)
                                                                    | ~ event(X1,X2)
                                                                    | ~ agent(X1,X2,X3)
                                                                    | ~ present(X1,X2)
                                                                    | ~ smoke(X1,X2)
                                                                    | ~ state(U,Z)
                                                                    | ~ agent(U,W,Y)
                                                                    | ~ man(U,Y)
                                                                    | ~ of(U,X,Y)
                                                                    | ~ vincent_forename(U,X)
                                                                    | ~ forename(U,X)
                                                                    | ~ think_believe_consider(U,W)
                                                                    | ~ present(U,W)
                                                                    | ~ event(U,W)
                                                                    | ~ theme(U,W,V)
                                                                    | ~ proposition(U,V)
                                                                    | ~ accessible_world(U,V)
                                                                    | ~ jules_forename(U,X4) ) )),
                                                                rewrite(
                                                                  ( ( ~ of(U,X4,X3)
                                                                    | ~ man(U,X3)
                                                                    | ~ be(U,Z,X3,X3)
                                                                    | ~ event(X1,X2)
                                                                    | ~ agent(X1,X2,X3)
                                                                    | ~ present(X1,X2)
                                                                    | ~ smoke(X1,X2)
                                                                    | ~ state(U,Z)
                                                                    | ~ agent(U,W,Y)
                                                                    | ~ man(U,Y)
                                                                    | ~ of(U,X,Y)
                                                                    | ~ vincent_forename(U,X)
                                                                    | ~ forename(U,X)
                                                                    | ~ think_believe_consider(U,W)
                                                                    | ~ present(U,W)
                                                                    | ~ event(U,W)
                                                                    | ~ theme(U,W,V)
                                                                    | ~ proposition(U,V)
                                                                    | ~ accessible_world(U,V)
                                                                    | ~ jules_forename(U,X4) )
                                                                <=> ( ~ jules_forename(U,X4)
                                                                    | ~ of(U,X4,X3)
                                                                    | ~ man(U,X3)
                                                                    | ~ be(U,Z,X3,X3)
                                                                    | ~ event(X1,X2)
                                                                    | ~ agent(X1,X2,X3)
                                                                    | ~ present(X1,X2)
                                                                    | ~ smoke(X1,X2)
                                                                    | ~ state(U,Z)
                                                                    | ~ agent(U,W,Y)
                                                                    | ~ man(U,Y)
                                                                    | ~ of(U,X,Y)
                                                                    | ~ vincent_forename(U,X)
                                                                    | ~ forename(U,X)
                                                                    | ~ think_believe_consider(U,W)
                                                                    | ~ present(U,W)
                                                                    | ~ event(U,W)
                                                                    | ~ theme(U,W,V)
                                                                    | ~ proposition(U,V)
                                                                    | ~ accessible_world(U,V) ) )),
                                                                ( ( ~ accessible_world(U,V)
                                                                  | ~ proposition(U,V)
                                                                  | ~ theme(U,W,V)
                                                                  | ~ event(U,W)
                                                                  | ~ present(U,W)
                                                                  | ~ think_believe_consider(U,W)
                                                                  | ~ forename(U,X)
                                                                  | ~ vincent_forename(U,X)
                                                                  | ~ of(U,X,Y)
                                                                  | ~ man(U,Y)
                                                                  | ~ agent(U,W,Y)
                                                                  | ~ state(U,Z)
                                                                  | ~ smoke(X1,X2)
                                                                  | ~ present(X1,X2)
                                                                  | ~ agent(X1,X2,X3)
                                                                  | ~ event(X1,X2)
                                                                  | ~ be(U,Z,X3,X3)
                                                                  | ~ man(U,X3)
                                                                  | ~ of(U,X4,X3)
                                                                  | ~ jules_forename(U,X4) )
                                                              <=> ( ~ jules_forename(U,X4)
                                                                  | ~ of(U,X4,X3)
                                                                  | ~ man(U,X3)
                                                                  | ~ be(U,Z,X3,X3)
                                                                  | ~ event(X1,X2)
                                                                  | ~ agent(X1,X2,X3)
                                                                  | ~ present(X1,X2)
                                                                  | ~ smoke(X1,X2)
                                                                  | ~ state(U,Z)
                                                                  | ~ agent(U,W,Y)
                                                                  | ~ man(U,Y)
                                                                  | ~ of(U,X,Y)
                                                                  | ~ vincent_forename(U,X)
                                                                  | ~ forename(U,X)
                                                                  | ~ think_believe_consider(U,W)
                                                                  | ~ present(U,W)
                                                                  | ~ event(U,W)
                                                                  | ~ theme(U,W,V)
                                                                  | ~ proposition(U,V)
                                                                  | ~ accessible_world(U,V) ) )),
                                                              ( ( ~ accessible_world(U,V)
                                                                | ~ proposition(U,V)
                                                                | ~ theme(U,W,V)
                                                                | ~ event(U,W)
                                                                | ~ present(U,W)
                                                                | ~ think_believe_consider(U,W)
                                                                | ~ forename(U,X)
                                                                | ~ vincent_forename(U,X)
                                                                | ~ of(U,X,Y)
                                                                | ~ man(U,Y)
                                                                | ~ agent(U,W,Y)
                                                                | ~ state(U,Z)
                                                                | ~ smoke(X1,X2)
                                                                | ~ present(X1,X2)
                                                                | ~ agent(X1,X2,X3)
                                                                | ~ event(X1,X2)
                                                                | ~ be(U,Z,X3,X3)
                                                                | ~ man(U,X3)
                                                                | ~ of(U,X4,X3)
                                                                | ~ jules_forename(U,X4)
                                                                | ~ forename(U,X4) )
                                                            <=> ( ~ jules_forename(U,X4)
                                                                | ~ of(U,X4,X3)
                                                                | ~ man(U,X3)
                                                                | ~ be(U,Z,X3,X3)
                                                                | ~ event(X1,X2)
                                                                | ~ agent(X1,X2,X3)
                                                                | ~ present(X1,X2)
                                                                | ~ smoke(X1,X2)
                                                                | ~ state(U,Z)
                                                                | ~ agent(U,W,Y)
                                                                | ~ man(U,Y)
                                                                | ~ of(U,X,Y)
                                                                | ~ vincent_forename(U,X)
                                                                | ~ forename(U,X)
                                                                | ~ think_believe_consider(U,W)
                                                                | ~ present(U,W)
                                                                | ~ event(U,W)
                                                                | ~ theme(U,W,V)
                                                                | ~ proposition(U,V)
                                                                | ~ accessible_world(U,V)
                                                                | ~ forename(U,X4) ) )),
                                                            rewrite(
                                                              ( ( ~ jules_forename(U,X4)
                                                                | ~ of(U,X4,X3)
                                                                | ~ man(U,X3)
                                                                | ~ be(U,Z,X3,X3)
                                                                | ~ event(X1,X2)
                                                                | ~ agent(X1,X2,X3)
                                                                | ~ present(X1,X2)
                                                                | ~ smoke(X1,X2)
                                                                | ~ state(U,Z)
                                                                | ~ agent(U,W,Y)
                                                                | ~ man(U,Y)
                                                                | ~ of(U,X,Y)
                                                                | ~ vincent_forename(U,X)
                                                                | ~ forename(U,X)
                                                                | ~ think_believe_consider(U,W)
                                                                | ~ present(U,W)
                                                                | ~ event(U,W)
                                                                | ~ theme(U,W,V)
                                                                | ~ proposition(U,V)
                                                                | ~ accessible_world(U,V)
                                                                | ~ forename(U,X4) )
                                                            <=> ( ~ forename(U,X4)
                                                                | ~ jules_forename(U,X4)
                                                                | ~ of(U,X4,X3)
                                                                | ~ man(U,X3)
                                                                | ~ be(U,Z,X3,X3)
                                                                | ~ event(X1,X2)
                                                                | ~ agent(X1,X2,X3)
                                                                | ~ present(X1,X2)
                                                                | ~ smoke(X1,X2)
                                                                | ~ state(U,Z)
                                                                | ~ agent(U,W,Y)
                                                                | ~ man(U,Y)
                                                                | ~ of(U,X,Y)
                                                                | ~ vincent_forename(U,X)
                                                                | ~ forename(U,X)
                                                                | ~ think_believe_consider(U,W)
                                                                | ~ present(U,W)
                                                                | ~ event(U,W)
                                                                | ~ theme(U,W,V)
                                                                | ~ proposition(U,V)
                                                                | ~ accessible_world(U,V) ) )),
                                                            ( ( ~ accessible_world(U,V)
                                                              | ~ proposition(U,V)
                                                              | ~ theme(U,W,V)
                                                              | ~ event(U,W)
                                                              | ~ present(U,W)
                                                              | ~ think_believe_consider(U,W)
                                                              | ~ forename(U,X)
                                                              | ~ vincent_forename(U,X)
                                                              | ~ of(U,X,Y)
                                                              | ~ man(U,Y)
                                                              | ~ agent(U,W,Y)
                                                              | ~ state(U,Z)
                                                              | ~ smoke(X1,X2)
                                                              | ~ present(X1,X2)
                                                              | ~ agent(X1,X2,X3)
                                                              | ~ event(X1,X2)
                                                              | ~ be(U,Z,X3,X3)
                                                              | ~ man(U,X3)
                                                              | ~ of(U,X4,X3)
                                                              | ~ jules_forename(U,X4)
                                                              | ~ forename(U,X4) )
                                                          <=> ( ~ forename(U,X4)
                                                              | ~ jules_forename(U,X4)
                                                              | ~ of(U,X4,X3)
                                                              | ~ man(U,X3)
                                                              | ~ be(U,Z,X3,X3)
                                                              | ~ event(X1,X2)
                                                              | ~ agent(X1,X2,X3)
                                                              | ~ present(X1,X2)
                                                              | ~ smoke(X1,X2)
                                                              | ~ state(U,Z)
                                                              | ~ agent(U,W,Y)
                                                              | ~ man(U,Y)
                                                              | ~ of(U,X,Y)
                                                              | ~ vincent_forename(U,X)
                                                              | ~ forename(U,X)
                                                              | ~ think_believe_consider(U,W)
                                                              | ~ present(U,W)
                                                              | ~ event(U,W)
                                                              | ~ theme(U,W,V)
                                                              | ~ proposition(U,V)
                                                              | ~ accessible_world(U,V) ) )),
                                                          ( ( ~ accessible_world(U,V)
                                                            | ~ proposition(U,V)
                                                            | ~ theme(U,W,V)
                                                            | ~ event(U,W)
                                                            | ~ present(U,W)
                                                            | ~ think_believe_consider(U,W)
                                                            | ~ forename(U,X)
                                                            | ~ vincent_forename(U,X)
                                                            | ~ of(U,X,Y)
                                                            | ~ man(U,Y)
                                                            | ~ agent(U,W,Y)
                                                            | ~ state(U,Z)
                                                            | ~ smoke(X1,X2)
                                                            | ~ present(X1,X2)
                                                            | ~ agent(X1,X2,X3)
                                                            | ~ event(X1,X2)
                                                            | ~ be(U,Z,X3,X3)
                                                            | ~ man(U,X3)
                                                            | ~ of(U,X4,X3)
                                                            | ~ jules_forename(U,X4)
                                                            | ~ forename(U,X4)
                                                            | ~ proposition(U,X1) )
                                                        <=> ( ~ forename(U,X4)
                                                            | ~ jules_forename(U,X4)
                                                            | ~ of(U,X4,X3)
                                                            | ~ man(U,X3)
                                                            | ~ be(U,Z,X3,X3)
                                                            | ~ event(X1,X2)
                                                            | ~ agent(X1,X2,X3)
                                                            | ~ present(X1,X2)
                                                            | ~ smoke(X1,X2)
                                                            | ~ state(U,Z)
                                                            | ~ agent(U,W,Y)
                                                            | ~ man(U,Y)
                                                            | ~ of(U,X,Y)
                                                            | ~ vincent_forename(U,X)
                                                            | ~ forename(U,X)
                                                            | ~ think_believe_consider(U,W)
                                                            | ~ present(U,W)
                                                            | ~ event(U,W)
                                                            | ~ theme(U,W,V)
                                                            | ~ proposition(U,V)
                                                            | ~ accessible_world(U,V)
                                                            | ~ proposition(U,X1) ) )),
                                                        rewrite(
                                                          ( ( ~ forename(U,X4)
                                                            | ~ jules_forename(U,X4)
                                                            | ~ of(U,X4,X3)
                                                            | ~ man(U,X3)
                                                            | ~ be(U,Z,X3,X3)
                                                            | ~ event(X1,X2)
                                                            | ~ agent(X1,X2,X3)
                                                            | ~ present(X1,X2)
                                                            | ~ smoke(X1,X2)
                                                            | ~ state(U,Z)
                                                            | ~ agent(U,W,Y)
                                                            | ~ man(U,Y)
                                                            | ~ of(U,X,Y)
                                                            | ~ vincent_forename(U,X)
                                                            | ~ forename(U,X)
                                                            | ~ think_believe_consider(U,W)
                                                            | ~ present(U,W)
                                                            | ~ event(U,W)
                                                            | ~ theme(U,W,V)
                                                            | ~ proposition(U,V)
                                                            | ~ accessible_world(U,V)
                                                            | ~ proposition(U,X1) )
                                                        <=> ( ~ proposition(U,X1)
                                                            | ~ forename(U,X4)
                                                            | ~ jules_forename(U,X4)
                                                            | ~ of(U,X4,X3)
                                                            | ~ man(U,X3)
                                                            | ~ be(U,Z,X3,X3)
                                                            | ~ event(X1,X2)
                                                            | ~ agent(X1,X2,X3)
                                                            | ~ present(X1,X2)
                                                            | ~ smoke(X1,X2)
                                                            | ~ state(U,Z)
                                                            | ~ agent(U,W,Y)
                                                            | ~ man(U,Y)
                                                            | ~ of(U,X,Y)
                                                            | ~ vincent_forename(U,X)
                                                            | ~ forename(U,X)
                                                            | ~ think_believe_consider(U,W)
                                                            | ~ present(U,W)
                                                            | ~ event(U,W)
                                                            | ~ theme(U,W,V)
                                                            | ~ proposition(U,V)
                                                            | ~ accessible_world(U,V) ) )),
                                                        ( ( ~ accessible_world(U,V)
                                                          | ~ proposition(U,V)
                                                          | ~ theme(U,W,V)
                                                          | ~ event(U,W)
                                                          | ~ present(U,W)
                                                          | ~ think_believe_consider(U,W)
                                                          | ~ forename(U,X)
                                                          | ~ vincent_forename(U,X)
                                                          | ~ of(U,X,Y)
                                                          | ~ man(U,Y)
                                                          | ~ agent(U,W,Y)
                                                          | ~ state(U,Z)
                                                          | ~ smoke(X1,X2)
                                                          | ~ present(X1,X2)
                                                          | ~ agent(X1,X2,X3)
                                                          | ~ event(X1,X2)
                                                          | ~ be(U,Z,X3,X3)
                                                          | ~ man(U,X3)
                                                          | ~ of(U,X4,X3)
                                                          | ~ jules_forename(U,X4)
                                                          | ~ forename(U,X4)
                                                          | ~ proposition(U,X1) )
                                                      <=> ( ~ proposition(U,X1)
                                                          | ~ forename(U,X4)
                                                          | ~ jules_forename(U,X4)
                                                          | ~ of(U,X4,X3)
                                                          | ~ man(U,X3)
                                                          | ~ be(U,Z,X3,X3)
                                                          | ~ event(X1,X2)
                                                          | ~ agent(X1,X2,X3)
                                                          | ~ present(X1,X2)
                                                          | ~ smoke(X1,X2)
                                                          | ~ state(U,Z)
                                                          | ~ agent(U,W,Y)
                                                          | ~ man(U,Y)
                                                          | ~ of(U,X,Y)
                                                          | ~ vincent_forename(U,X)
                                                          | ~ forename(U,X)
                                                          | ~ think_believe_consider(U,W)
                                                          | ~ present(U,W)
                                                          | ~ event(U,W)
                                                          | ~ theme(U,W,V)
                                                          | ~ proposition(U,V)
                                                          | ~ accessible_world(U,V) ) )),
                                                      ( ( ~ accessible_world(U,V)
                                                        | ~ proposition(U,V)
                                                        | ~ theme(U,W,V)
                                                        | ~ event(U,W)
                                                        | ~ present(U,W)
                                                        | ~ think_believe_consider(U,W)
                                                        | ~ forename(U,X)
                                                        | ~ vincent_forename(U,X)
                                                        | ~ of(U,X,Y)
                                                        | ~ man(U,Y)
                                                        | ~ agent(U,W,Y)
                                                        | ~ state(U,Z)
                                                        | ~ smoke(X1,X2)
                                                        | ~ present(X1,X2)
                                                        | ~ agent(X1,X2,X3)
                                                        | ~ event(X1,X2)
                                                        | ~ be(U,Z,X3,X3)
                                                        | ~ man(U,X3)
                                                        | ~ of(U,X4,X3)
                                                        | ~ jules_forename(U,X4)
                                                        | ~ forename(U,X4)
                                                        | ~ proposition(U,X1)
                                                        | ~ accessible_world(U,X1) )
                                                    <=> ( ~ proposition(U,X1)
                                                        | ~ forename(U,X4)
                                                        | ~ jules_forename(U,X4)
                                                        | ~ of(U,X4,X3)
                                                        | ~ man(U,X3)
                                                        | ~ be(U,Z,X3,X3)
                                                        | ~ event(X1,X2)
                                                        | ~ agent(X1,X2,X3)
                                                        | ~ present(X1,X2)
                                                        | ~ smoke(X1,X2)
                                                        | ~ state(U,Z)
                                                        | ~ agent(U,W,Y)
                                                        | ~ man(U,Y)
                                                        | ~ of(U,X,Y)
                                                        | ~ vincent_forename(U,X)
                                                        | ~ forename(U,X)
                                                        | ~ think_believe_consider(U,W)
                                                        | ~ present(U,W)
                                                        | ~ event(U,W)
                                                        | ~ theme(U,W,V)
                                                        | ~ proposition(U,V)
                                                        | ~ accessible_world(U,V)
                                                        | ~ accessible_world(U,X1) ) )),
                                                    rewrite(
                                                      ( ( ~ proposition(U,X1)
                                                        | ~ forename(U,X4)
                                                        | ~ jules_forename(U,X4)
                                                        | ~ of(U,X4,X3)
                                                        | ~ man(U,X3)
                                                        | ~ be(U,Z,X3,X3)
                                                        | ~ event(X1,X2)
                                                        | ~ agent(X1,X2,X3)
                                                        | ~ present(X1,X2)
                                                        | ~ smoke(X1,X2)
                                                        | ~ state(U,Z)
                                                        | ~ agent(U,W,Y)
                                                        | ~ man(U,Y)
                                                        | ~ of(U,X,Y)
                                                        | ~ vincent_forename(U,X)
                                                        | ~ forename(U,X)
                                                        | ~ think_believe_consider(U,W)
                                                        | ~ present(U,W)
                                                        | ~ event(U,W)
                                                        | ~ theme(U,W,V)
                                                        | ~ proposition(U,V)
                                                        | ~ accessible_world(U,V)
                                                        | ~ accessible_world(U,X1) )
                                                    <=> ( ~ accessible_world(U,X1)
                                                        | ~ proposition(U,X1)
                                                        | ~ forename(U,X4)
                                                        | ~ jules_forename(U,X4)
                                                        | ~ of(U,X4,X3)
                                                        | ~ man(U,X3)
                                                        | ~ be(U,Z,X3,X3)
                                                        | ~ event(X1,X2)
                                                        | ~ agent(X1,X2,X3)
                                                        | ~ present(X1,X2)
                                                        | ~ smoke(X1,X2)
                                                        | ~ state(U,Z)
                                                        | ~ agent(U,W,Y)
                                                        | ~ man(U,Y)
                                                        | ~ of(U,X,Y)
                                                        | ~ vincent_forename(U,X)
                                                        | ~ forename(U,X)
                                                        | ~ think_believe_consider(U,W)
                                                        | ~ present(U,W)
                                                        | ~ event(U,W)
                                                        | ~ theme(U,W,V)
                                                        | ~ proposition(U,V)
                                                        | ~ accessible_world(U,V) ) )),
                                                    ( ( ~ accessible_world(U,V)
                                                      | ~ proposition(U,V)
                                                      | ~ theme(U,W,V)
                                                      | ~ event(U,W)
                                                      | ~ present(U,W)
                                                      | ~ think_believe_consider(U,W)
                                                      | ~ forename(U,X)
                                                      | ~ vincent_forename(U,X)
                                                      | ~ of(U,X,Y)
                                                      | ~ man(U,Y)
                                                      | ~ agent(U,W,Y)
                                                      | ~ state(U,Z)
                                                      | ~ smoke(X1,X2)
                                                      | ~ present(X1,X2)
                                                      | ~ agent(X1,X2,X3)
                                                      | ~ event(X1,X2)
                                                      | ~ be(U,Z,X3,X3)
                                                      | ~ man(U,X3)
                                                      | ~ of(U,X4,X3)
                                                      | ~ jules_forename(U,X4)
                                                      | ~ forename(U,X4)
                                                      | ~ proposition(U,X1)
                                                      | ~ accessible_world(U,X1) )
                                                  <=> ( ~ accessible_world(U,X1)
                                                      | ~ proposition(U,X1)
                                                      | ~ forename(U,X4)
                                                      | ~ jules_forename(U,X4)
                                                      | ~ of(U,X4,X3)
                                                      | ~ man(U,X3)
                                                      | ~ be(U,Z,X3,X3)
                                                      | ~ event(X1,X2)
                                                      | ~ agent(X1,X2,X3)
                                                      | ~ present(X1,X2)
                                                      | ~ smoke(X1,X2)
                                                      | ~ state(U,Z)
                                                      | ~ agent(U,W,Y)
                                                      | ~ man(U,Y)
                                                      | ~ of(U,X,Y)
                                                      | ~ vincent_forename(U,X)
                                                      | ~ forename(U,X)
                                                      | ~ think_believe_consider(U,W)
                                                      | ~ present(U,W)
                                                      | ~ event(U,W)
                                                      | ~ theme(U,W,V)
                                                      | ~ proposition(U,V)
                                                      | ~ accessible_world(U,V) ) )),
                                                  ( ( ~ accessible_world(U,V)
                                                    | ~ proposition(U,V)
                                                    | ~ theme(U,W,V)
                                                    | ~ event(U,W)
                                                    | ~ present(U,W)
                                                    | ~ think_believe_consider(U,W)
                                                    | ~ forename(U,X)
                                                    | ~ vincent_forename(U,X)
                                                    | ~ of(U,X,Y)
                                                    | ~ man(U,Y)
                                                    | ~ agent(U,W,Y)
                                                    | ~ state(U,Z)
                                                    | ~ smoke(X1,X2)
                                                    | ~ present(X1,X2)
                                                    | ~ agent(X1,X2,X3)
                                                    | ~ event(X1,X2)
                                                    | ~ be(U,Z,X3,X3)
                                                    | ~ man(U,X3)
                                                    | ~ of(U,X4,X3)
                                                    | ~ jules_forename(U,X4)
                                                    | ~ forename(U,X4)
                                                    | ~ proposition(U,X1)
                                                    | ~ accessible_world(U,X1)
                                                    | ~ think_believe_consider(U,X5) )
                                                <=> ( ~ accessible_world(U,X1)
                                                    | ~ proposition(U,X1)
                                                    | ~ forename(U,X4)
                                                    | ~ jules_forename(U,X4)
                                                    | ~ of(U,X4,X3)
                                                    | ~ man(U,X3)
                                                    | ~ be(U,Z,X3,X3)
                                                    | ~ event(X1,X2)
                                                    | ~ agent(X1,X2,X3)
                                                    | ~ present(X1,X2)
                                                    | ~ smoke(X1,X2)
                                                    | ~ state(U,Z)
                                                    | ~ agent(U,W,Y)
                                                    | ~ man(U,Y)
                                                    | ~ of(U,X,Y)
                                                    | ~ vincent_forename(U,X)
                                                    | ~ forename(U,X)
                                                    | ~ think_believe_consider(U,W)
                                                    | ~ present(U,W)
                                                    | ~ event(U,W)
                                                    | ~ theme(U,W,V)
                                                    | ~ proposition(U,V)
                                                    | ~ accessible_world(U,V)
                                                    | ~ think_believe_consider(U,X5) ) )),
                                                rewrite(
                                                  ( ( ~ accessible_world(U,X1)
                                                    | ~ proposition(U,X1)
                                                    | ~ forename(U,X4)
                                                    | ~ jules_forename(U,X4)
                                                    | ~ of(U,X4,X3)
                                                    | ~ man(U,X3)
                                                    | ~ be(U,Z,X3,X3)
                                                    | ~ event(X1,X2)
                                                    | ~ agent(X1,X2,X3)
                                                    | ~ present(X1,X2)
                                                    | ~ smoke(X1,X2)
                                                    | ~ state(U,Z)
                                                    | ~ agent(U,W,Y)
                                                    | ~ man(U,Y)
                                                    | ~ of(U,X,Y)
                                                    | ~ vincent_forename(U,X)
                                                    | ~ forename(U,X)
                                                    | ~ think_believe_consider(U,W)
                                                    | ~ present(U,W)
                                                    | ~ event(U,W)
                                                    | ~ theme(U,W,V)
                                                    | ~ proposition(U,V)
                                                    | ~ accessible_world(U,V)
                                                    | ~ think_believe_consider(U,X5) )
                                                <=> ( ~ think_believe_consider(U,X5)
                                                    | ~ accessible_world(U,X1)
                                                    | ~ proposition(U,X1)
                                                    | ~ forename(U,X4)
                                                    | ~ jules_forename(U,X4)
                                                    | ~ of(U,X4,X3)
                                                    | ~ man(U,X3)
                                                    | ~ be(U,Z,X3,X3)
                                                    | ~ event(X1,X2)
                                                    | ~ agent(X1,X2,X3)
                                                    | ~ present(X1,X2)
                                                    | ~ smoke(X1,X2)
                                                    | ~ state(U,Z)
                                                    | ~ agent(U,W,Y)
                                                    | ~ man(U,Y)
                                                    | ~ of(U,X,Y)
                                                    | ~ vincent_forename(U,X)
                                                    | ~ forename(U,X)
                                                    | ~ think_believe_consider(U,W)
                                                    | ~ present(U,W)
                                                    | ~ event(U,W)
                                                    | ~ theme(U,W,V)
                                                    | ~ proposition(U,V)
                                                    | ~ accessible_world(U,V) ) )),
                                                ( ( ~ accessible_world(U,V)
                                                  | ~ proposition(U,V)
                                                  | ~ theme(U,W,V)
                                                  | ~ event(U,W)
                                                  | ~ present(U,W)
                                                  | ~ think_believe_consider(U,W)
                                                  | ~ forename(U,X)
                                                  | ~ vincent_forename(U,X)
                                                  | ~ of(U,X,Y)
                                                  | ~ man(U,Y)
                                                  | ~ agent(U,W,Y)
                                                  | ~ state(U,Z)
                                                  | ~ smoke(X1,X2)
                                                  | ~ present(X1,X2)
                                                  | ~ agent(X1,X2,X3)
                                                  | ~ event(X1,X2)
                                                  | ~ be(U,Z,X3,X3)
                                                  | ~ man(U,X3)
                                                  | ~ of(U,X4,X3)
                                                  | ~ jules_forename(U,X4)
                                                  | ~ forename(U,X4)
                                                  | ~ proposition(U,X1)
                                                  | ~ accessible_world(U,X1)
                                                  | ~ think_believe_consider(U,X5) )
                                              <=> ( ~ think_believe_consider(U,X5)
                                                  | ~ accessible_world(U,X1)
                                                  | ~ proposition(U,X1)
                                                  | ~ forename(U,X4)
                                                  | ~ jules_forename(U,X4)
                                                  | ~ of(U,X4,X3)
                                                  | ~ man(U,X3)
                                                  | ~ be(U,Z,X3,X3)
                                                  | ~ event(X1,X2)
                                                  | ~ agent(X1,X2,X3)
                                                  | ~ present(X1,X2)
                                                  | ~ smoke(X1,X2)
                                                  | ~ state(U,Z)
                                                  | ~ agent(U,W,Y)
                                                  | ~ man(U,Y)
                                                  | ~ of(U,X,Y)
                                                  | ~ vincent_forename(U,X)
                                                  | ~ forename(U,X)
                                                  | ~ think_believe_consider(U,W)
                                                  | ~ present(U,W)
                                                  | ~ event(U,W)
                                                  | ~ theme(U,W,V)
                                                  | ~ proposition(U,V)
                                                  | ~ accessible_world(U,V) ) )),
                                              ( ( ~ accessible_world(U,V)
                                                | ~ proposition(U,V)
                                                | ~ theme(U,W,V)
                                                | ~ event(U,W)
                                                | ~ present(U,W)
                                                | ~ think_believe_consider(U,W)
                                                | ~ forename(U,X)
                                                | ~ vincent_forename(U,X)
                                                | ~ of(U,X,Y)
                                                | ~ man(U,Y)
                                                | ~ agent(U,W,Y)
                                                | ~ state(U,Z)
                                                | ~ smoke(X1,X2)
                                                | ~ present(X1,X2)
                                                | ~ agent(X1,X2,X3)
                                                | ~ event(X1,X2)
                                                | ~ be(U,Z,X3,X3)
                                                | ~ man(U,X3)
                                                | ~ of(U,X4,X3)
                                                | ~ jules_forename(U,X4)
                                                | ~ forename(U,X4)
                                                | ~ proposition(U,X1)
                                                | ~ accessible_world(U,X1)
                                                | ~ think_believe_consider(U,X5)
                                                | ~ present(U,X5) )
                                            <=> ( ~ think_believe_consider(U,X5)
                                                | ~ accessible_world(U,X1)
                                                | ~ proposition(U,X1)
                                                | ~ forename(U,X4)
                                                | ~ jules_forename(U,X4)
                                                | ~ of(U,X4,X3)
                                                | ~ man(U,X3)
                                                | ~ be(U,Z,X3,X3)
                                                | ~ event(X1,X2)
                                                | ~ agent(X1,X2,X3)
                                                | ~ present(X1,X2)
                                                | ~ smoke(X1,X2)
                                                | ~ state(U,Z)
                                                | ~ agent(U,W,Y)
                                                | ~ man(U,Y)
                                                | ~ of(U,X,Y)
                                                | ~ vincent_forename(U,X)
                                                | ~ forename(U,X)
                                                | ~ think_believe_consider(U,W)
                                                | ~ present(U,W)
                                                | ~ event(U,W)
                                                | ~ theme(U,W,V)
                                                | ~ proposition(U,V)
                                                | ~ accessible_world(U,V)
                                                | ~ present(U,X5) ) )),
                                            rewrite(
                                              ( ( ~ think_believe_consider(U,X5)
                                                | ~ accessible_world(U,X1)
                                                | ~ proposition(U,X1)
                                                | ~ forename(U,X4)
                                                | ~ jules_forename(U,X4)
                                                | ~ of(U,X4,X3)
                                                | ~ man(U,X3)
                                                | ~ be(U,Z,X3,X3)
                                                | ~ event(X1,X2)
                                                | ~ agent(X1,X2,X3)
                                                | ~ present(X1,X2)
                                                | ~ smoke(X1,X2)
                                                | ~ state(U,Z)
                                                | ~ agent(U,W,Y)
                                                | ~ man(U,Y)
                                                | ~ of(U,X,Y)
                                                | ~ vincent_forename(U,X)
                                                | ~ forename(U,X)
                                                | ~ think_believe_consider(U,W)
                                                | ~ present(U,W)
                                                | ~ event(U,W)
                                                | ~ theme(U,W,V)
                                                | ~ proposition(U,V)
                                                | ~ accessible_world(U,V)
                                                | ~ present(U,X5) )
                                            <=> ( ~ present(U,X5)
                                                | ~ think_believe_consider(U,X5)
                                                | ~ accessible_world(U,X1)
                                                | ~ proposition(U,X1)
                                                | ~ forename(U,X4)
                                                | ~ jules_forename(U,X4)
                                                | ~ of(U,X4,X3)
                                                | ~ man(U,X3)
                                                | ~ be(U,Z,X3,X3)
                                                | ~ event(X1,X2)
                                                | ~ agent(X1,X2,X3)
                                                | ~ present(X1,X2)
                                                | ~ smoke(X1,X2)
                                                | ~ state(U,Z)
                                                | ~ agent(U,W,Y)
                                                | ~ man(U,Y)
                                                | ~ of(U,X,Y)
                                                | ~ vincent_forename(U,X)
                                                | ~ forename(U,X)
                                                | ~ think_believe_consider(U,W)
                                                | ~ present(U,W)
                                                | ~ event(U,W)
                                                | ~ theme(U,W,V)
                                                | ~ proposition(U,V)
                                                | ~ accessible_world(U,V) ) )),
                                            ( ( ~ accessible_world(U,V)
                                              | ~ proposition(U,V)
                                              | ~ theme(U,W,V)
                                              | ~ event(U,W)
                                              | ~ present(U,W)
                                              | ~ think_believe_consider(U,W)
                                              | ~ forename(U,X)
                                              | ~ vincent_forename(U,X)
                                              | ~ of(U,X,Y)
                                              | ~ man(U,Y)
                                              | ~ agent(U,W,Y)
                                              | ~ state(U,Z)
                                              | ~ smoke(X1,X2)
                                              | ~ present(X1,X2)
                                              | ~ agent(X1,X2,X3)
                                              | ~ event(X1,X2)
                                              | ~ be(U,Z,X3,X3)
                                              | ~ man(U,X3)
                                              | ~ of(U,X4,X3)
                                              | ~ jules_forename(U,X4)
                                              | ~ forename(U,X4)
                                              | ~ proposition(U,X1)
                                              | ~ accessible_world(U,X1)
                                              | ~ think_believe_consider(U,X5)
                                              | ~ present(U,X5) )
                                          <=> ( ~ present(U,X5)
                                              | ~ think_believe_consider(U,X5)
                                              | ~ accessible_world(U,X1)
                                              | ~ proposition(U,X1)
                                              | ~ forename(U,X4)
                                              | ~ jules_forename(U,X4)
                                              | ~ of(U,X4,X3)
                                              | ~ man(U,X3)
                                              | ~ be(U,Z,X3,X3)
                                              | ~ event(X1,X2)
                                              | ~ agent(X1,X2,X3)
                                              | ~ present(X1,X2)
                                              | ~ smoke(X1,X2)
                                              | ~ state(U,Z)
                                              | ~ agent(U,W,Y)
                                              | ~ man(U,Y)
                                              | ~ of(U,X,Y)
                                              | ~ vincent_forename(U,X)
                                              | ~ forename(U,X)
                                              | ~ think_believe_consider(U,W)
                                              | ~ present(U,W)
                                              | ~ event(U,W)
                                              | ~ theme(U,W,V)
                                              | ~ proposition(U,V)
                                              | ~ accessible_world(U,V) ) )),
                                          ( ( ~ accessible_world(U,V)
                                            | ~ proposition(U,V)
                                            | ~ theme(U,W,V)
                                            | ~ event(U,W)
                                            | ~ present(U,W)
                                            | ~ think_believe_consider(U,W)
                                            | ~ forename(U,X)
                                            | ~ vincent_forename(U,X)
                                            | ~ of(U,X,Y)
                                            | ~ man(U,Y)
                                            | ~ agent(U,W,Y)
                                            | ~ state(U,Z)
                                            | ~ smoke(X1,X2)
                                            | ~ present(X1,X2)
                                            | ~ agent(X1,X2,X3)
                                            | ~ event(X1,X2)
                                            | ~ be(U,Z,X3,X3)
                                            | ~ man(U,X3)
                                            | ~ of(U,X4,X3)
                                            | ~ jules_forename(U,X4)
                                            | ~ forename(U,X4)
                                            | ~ proposition(U,X1)
                                            | ~ accessible_world(U,X1)
                                            | ~ think_believe_consider(U,X5)
                                            | ~ present(U,X5)
                                            | ~ event(U,X5) )
                                        <=> ( ~ present(U,X5)
                                            | ~ think_believe_consider(U,X5)
                                            | ~ accessible_world(U,X1)
                                            | ~ proposition(U,X1)
                                            | ~ forename(U,X4)
                                            | ~ jules_forename(U,X4)
                                            | ~ of(U,X4,X3)
                                            | ~ man(U,X3)
                                            | ~ be(U,Z,X3,X3)
                                            | ~ event(X1,X2)
                                            | ~ agent(X1,X2,X3)
                                            | ~ present(X1,X2)
                                            | ~ smoke(X1,X2)
                                            | ~ state(U,Z)
                                            | ~ agent(U,W,Y)
                                            | ~ man(U,Y)
                                            | ~ of(U,X,Y)
                                            | ~ vincent_forename(U,X)
                                            | ~ forename(U,X)
                                            | ~ think_believe_consider(U,W)
                                            | ~ present(U,W)
                                            | ~ event(U,W)
                                            | ~ theme(U,W,V)
                                            | ~ proposition(U,V)
                                            | ~ accessible_world(U,V)
                                            | ~ event(U,X5) ) )),
                                        rewrite(
                                          ( ( ~ present(U,X5)
                                            | ~ think_believe_consider(U,X5)
                                            | ~ accessible_world(U,X1)
                                            | ~ proposition(U,X1)
                                            | ~ forename(U,X4)
                                            | ~ jules_forename(U,X4)
                                            | ~ of(U,X4,X3)
                                            | ~ man(U,X3)
                                            | ~ be(U,Z,X3,X3)
                                            | ~ event(X1,X2)
                                            | ~ agent(X1,X2,X3)
                                            | ~ present(X1,X2)
                                            | ~ smoke(X1,X2)
                                            | ~ state(U,Z)
                                            | ~ agent(U,W,Y)
                                            | ~ man(U,Y)
                                            | ~ of(U,X,Y)
                                            | ~ vincent_forename(U,X)
                                            | ~ forename(U,X)
                                            | ~ think_believe_consider(U,W)
                                            | ~ present(U,W)
                                            | ~ event(U,W)
                                            | ~ theme(U,W,V)
                                            | ~ proposition(U,V)
                                            | ~ accessible_world(U,V)
                                            | ~ event(U,X5) )
                                        <=> ( ~ event(U,X5)
                                            | ~ present(U,X5)
                                            | ~ think_believe_consider(U,X5)
                                            | ~ accessible_world(U,X1)
                                            | ~ proposition(U,X1)
                                            | ~ forename(U,X4)
                                            | ~ jules_forename(U,X4)
                                            | ~ of(U,X4,X3)
                                            | ~ man(U,X3)
                                            | ~ be(U,Z,X3,X3)
                                            | ~ event(X1,X2)
                                            | ~ agent(X1,X2,X3)
                                            | ~ present(X1,X2)
                                            | ~ smoke(X1,X2)
                                            | ~ state(U,Z)
                                            | ~ agent(U,W,Y)
                                            | ~ man(U,Y)
                                            | ~ of(U,X,Y)
                                            | ~ vincent_forename(U,X)
                                            | ~ forename(U,X)
                                            | ~ think_believe_consider(U,W)
                                            | ~ present(U,W)
                                            | ~ event(U,W)
                                            | ~ theme(U,W,V)
                                            | ~ proposition(U,V)
                                            | ~ accessible_world(U,V) ) )),
                                        ( ( ~ accessible_world(U,V)
                                          | ~ proposition(U,V)
                                          | ~ theme(U,W,V)
                                          | ~ event(U,W)
                                          | ~ present(U,W)
                                          | ~ think_believe_consider(U,W)
                                          | ~ forename(U,X)
                                          | ~ vincent_forename(U,X)
                                          | ~ of(U,X,Y)
                                          | ~ man(U,Y)
                                          | ~ agent(U,W,Y)
                                          | ~ state(U,Z)
                                          | ~ smoke(X1,X2)
                                          | ~ present(X1,X2)
                                          | ~ agent(X1,X2,X3)
                                          | ~ event(X1,X2)
                                          | ~ be(U,Z,X3,X3)
                                          | ~ man(U,X3)
                                          | ~ of(U,X4,X3)
                                          | ~ jules_forename(U,X4)
                                          | ~ forename(U,X4)
                                          | ~ proposition(U,X1)
                                          | ~ accessible_world(U,X1)
                                          | ~ think_believe_consider(U,X5)
                                          | ~ present(U,X5)
                                          | ~ event(U,X5) )
                                      <=> ( ~ event(U,X5)
                                          | ~ present(U,X5)
                                          | ~ think_believe_consider(U,X5)
                                          | ~ accessible_world(U,X1)
                                          | ~ proposition(U,X1)
                                          | ~ forename(U,X4)
                                          | ~ jules_forename(U,X4)
                                          | ~ of(U,X4,X3)
                                          | ~ man(U,X3)
                                          | ~ be(U,Z,X3,X3)
                                          | ~ event(X1,X2)
                                          | ~ agent(X1,X2,X3)
                                          | ~ present(X1,X2)
                                          | ~ smoke(X1,X2)
                                          | ~ state(U,Z)
                                          | ~ agent(U,W,Y)
                                          | ~ man(U,Y)
                                          | ~ of(U,X,Y)
                                          | ~ vincent_forename(U,X)
                                          | ~ forename(U,X)
                                          | ~ think_believe_consider(U,W)
                                          | ~ present(U,W)
                                          | ~ event(U,W)
                                          | ~ theme(U,W,V)
                                          | ~ proposition(U,V)
                                          | ~ accessible_world(U,V) ) )),
                                      ( ( ~ accessible_world(U,V)
                                        | ~ proposition(U,V)
                                        | ~ theme(U,W,V)
                                        | ~ event(U,W)
                                        | ~ present(U,W)
                                        | ~ think_believe_consider(U,W)
                                        | ~ forename(U,X)
                                        | ~ vincent_forename(U,X)
                                        | ~ of(U,X,Y)
                                        | ~ man(U,Y)
                                        | ~ agent(U,W,Y)
                                        | ~ state(U,Z)
                                        | ~ smoke(X1,X2)
                                        | ~ present(X1,X2)
                                        | ~ agent(X1,X2,X3)
                                        | ~ event(X1,X2)
                                        | ~ be(U,Z,X3,X3)
                                        | ~ man(U,X3)
                                        | ~ of(U,X4,X3)
                                        | ~ jules_forename(U,X4)
                                        | ~ forename(U,X4)
                                        | ~ proposition(U,X1)
                                        | ~ accessible_world(U,X1)
                                        | ~ think_believe_consider(U,X5)
                                        | ~ present(U,X5)
                                        | ~ event(U,X5)
                                        | ~ theme(U,X5,X1) )
                                    <=> ( ~ event(U,X5)
                                        | ~ present(U,X5)
                                        | ~ think_believe_consider(U,X5)
                                        | ~ accessible_world(U,X1)
                                        | ~ proposition(U,X1)
                                        | ~ forename(U,X4)
                                        | ~ jules_forename(U,X4)
                                        | ~ of(U,X4,X3)
                                        | ~ man(U,X3)
                                        | ~ be(U,Z,X3,X3)
                                        | ~ event(X1,X2)
                                        | ~ agent(X1,X2,X3)
                                        | ~ present(X1,X2)
                                        | ~ smoke(X1,X2)
                                        | ~ state(U,Z)
                                        | ~ agent(U,W,Y)
                                        | ~ man(U,Y)
                                        | ~ of(U,X,Y)
                                        | ~ vincent_forename(U,X)
                                        | ~ forename(U,X)
                                        | ~ think_believe_consider(U,W)
                                        | ~ present(U,W)
                                        | ~ event(U,W)
                                        | ~ theme(U,W,V)
                                        | ~ proposition(U,V)
                                        | ~ accessible_world(U,V)
                                        | ~ theme(U,X5,X1) ) )),
                                    rewrite(
                                      ( ( ~ event(U,X5)
                                        | ~ present(U,X5)
                                        | ~ think_believe_consider(U,X5)
                                        | ~ accessible_world(U,X1)
                                        | ~ proposition(U,X1)
                                        | ~ forename(U,X4)
                                        | ~ jules_forename(U,X4)
                                        | ~ of(U,X4,X3)
                                        | ~ man(U,X3)
                                        | ~ be(U,Z,X3,X3)
                                        | ~ event(X1,X2)
                                        | ~ agent(X1,X2,X3)
                                        | ~ present(X1,X2)
                                        | ~ smoke(X1,X2)
                                        | ~ state(U,Z)
                                        | ~ agent(U,W,Y)
                                        | ~ man(U,Y)
                                        | ~ of(U,X,Y)
                                        | ~ vincent_forename(U,X)
                                        | ~ forename(U,X)
                                        | ~ think_believe_consider(U,W)
                                        | ~ present(U,W)
                                        | ~ event(U,W)
                                        | ~ theme(U,W,V)
                                        | ~ proposition(U,V)
                                        | ~ accessible_world(U,V)
                                        | ~ theme(U,X5,X1) )
                                    <=> ( ~ theme(U,X5,X1)
                                        | ~ event(U,X5)
                                        | ~ present(U,X5)
                                        | ~ think_believe_consider(U,X5)
                                        | ~ accessible_world(U,X1)
                                        | ~ proposition(U,X1)
                                        | ~ forename(U,X4)
                                        | ~ jules_forename(U,X4)
                                        | ~ of(U,X4,X3)
                                        | ~ man(U,X3)
                                        | ~ be(U,Z,X3,X3)
                                        | ~ event(X1,X2)
                                        | ~ agent(X1,X2,X3)
                                        | ~ present(X1,X2)
                                        | ~ smoke(X1,X2)
                                        | ~ state(U,Z)
                                        | ~ agent(U,W,Y)
                                        | ~ man(U,Y)
                                        | ~ of(U,X,Y)
                                        | ~ vincent_forename(U,X)
                                        | ~ forename(U,X)
                                        | ~ think_believe_consider(U,W)
                                        | ~ present(U,W)
                                        | ~ event(U,W)
                                        | ~ theme(U,W,V)
                                        | ~ proposition(U,V)
                                        | ~ accessible_world(U,V) ) )),
                                    ( ( ~ accessible_world(U,V)
                                      | ~ proposition(U,V)
                                      | ~ theme(U,W,V)
                                      | ~ event(U,W)
                                      | ~ present(U,W)
                                      | ~ think_believe_consider(U,W)
                                      | ~ forename(U,X)
                                      | ~ vincent_forename(U,X)
                                      | ~ of(U,X,Y)
                                      | ~ man(U,Y)
                                      | ~ agent(U,W,Y)
                                      | ~ state(U,Z)
                                      | ~ smoke(X1,X2)
                                      | ~ present(X1,X2)
                                      | ~ agent(X1,X2,X3)
                                      | ~ event(X1,X2)
                                      | ~ be(U,Z,X3,X3)
                                      | ~ man(U,X3)
                                      | ~ of(U,X4,X3)
                                      | ~ jules_forename(U,X4)
                                      | ~ forename(U,X4)
                                      | ~ proposition(U,X1)
                                      | ~ accessible_world(U,X1)
                                      | ~ think_believe_consider(U,X5)
                                      | ~ present(U,X5)
                                      | ~ event(U,X5)
                                      | ~ theme(U,X5,X1) )
                                  <=> ( ~ theme(U,X5,X1)
                                      | ~ event(U,X5)
                                      | ~ present(U,X5)
                                      | ~ think_believe_consider(U,X5)
                                      | ~ accessible_world(U,X1)
                                      | ~ proposition(U,X1)
                                      | ~ forename(U,X4)
                                      | ~ jules_forename(U,X4)
                                      | ~ of(U,X4,X3)
                                      | ~ man(U,X3)
                                      | ~ be(U,Z,X3,X3)
                                      | ~ event(X1,X2)
                                      | ~ agent(X1,X2,X3)
                                      | ~ present(X1,X2)
                                      | ~ smoke(X1,X2)
                                      | ~ state(U,Z)
                                      | ~ agent(U,W,Y)
                                      | ~ man(U,Y)
                                      | ~ of(U,X,Y)
                                      | ~ vincent_forename(U,X)
                                      | ~ forename(U,X)
                                      | ~ think_believe_consider(U,W)
                                      | ~ present(U,W)
                                      | ~ event(U,W)
                                      | ~ theme(U,W,V)
                                      | ~ proposition(U,V)
                                      | ~ accessible_world(U,V) ) )),
                                  ( ( ~ accessible_world(U,V)
                                    | ~ proposition(U,V)
                                    | ~ theme(U,W,V)
                                    | ~ event(U,W)
                                    | ~ present(U,W)
                                    | ~ think_believe_consider(U,W)
                                    | ~ forename(U,X)
                                    | ~ vincent_forename(U,X)
                                    | ~ of(U,X,Y)
                                    | ~ man(U,Y)
                                    | ~ agent(U,W,Y)
                                    | ~ state(U,Z)
                                    | ~ smoke(X1,X2)
                                    | ~ present(X1,X2)
                                    | ~ agent(X1,X2,X3)
                                    | ~ event(X1,X2)
                                    | ~ be(U,Z,X3,X3)
                                    | ~ man(U,X3)
                                    | ~ of(U,X4,X3)
                                    | ~ jules_forename(U,X4)
                                    | ~ forename(U,X4)
                                    | ~ proposition(U,X1)
                                    | ~ accessible_world(U,X1)
                                    | ~ think_believe_consider(U,X5)
                                    | ~ present(U,X5)
                                    | ~ event(U,X5)
                                    | ~ theme(U,X5,X1)
                                    | ~ vincent_forename(U,X6) )
                                <=> ( ~ theme(U,X5,X1)
                                    | ~ event(U,X5)
                                    | ~ present(U,X5)
                                    | ~ think_believe_consider(U,X5)
                                    | ~ accessible_world(U,X1)
                                    | ~ proposition(U,X1)
                                    | ~ forename(U,X4)
                                    | ~ jules_forename(U,X4)
                                    | ~ of(U,X4,X3)
                                    | ~ man(U,X3)
                                    | ~ be(U,Z,X3,X3)
                                    | ~ event(X1,X2)
                                    | ~ agent(X1,X2,X3)
                                    | ~ present(X1,X2)
                                    | ~ smoke(X1,X2)
                                    | ~ state(U,Z)
                                    | ~ agent(U,W,Y)
                                    | ~ man(U,Y)
                                    | ~ of(U,X,Y)
                                    | ~ vincent_forename(U,X)
                                    | ~ forename(U,X)
                                    | ~ think_believe_consider(U,W)
                                    | ~ present(U,W)
                                    | ~ event(U,W)
                                    | ~ theme(U,W,V)
                                    | ~ proposition(U,V)
                                    | ~ accessible_world(U,V)
                                    | ~ vincent_forename(U,X6) ) )),
                                rewrite(
                                  ( ( ~ theme(U,X5,X1)
                                    | ~ event(U,X5)
                                    | ~ present(U,X5)
                                    | ~ think_believe_consider(U,X5)
                                    | ~ accessible_world(U,X1)
                                    | ~ proposition(U,X1)
                                    | ~ forename(U,X4)
                                    | ~ jules_forename(U,X4)
                                    | ~ of(U,X4,X3)
                                    | ~ man(U,X3)
                                    | ~ be(U,Z,X3,X3)
                                    | ~ event(X1,X2)
                                    | ~ agent(X1,X2,X3)
                                    | ~ present(X1,X2)
                                    | ~ smoke(X1,X2)
                                    | ~ state(U,Z)
                                    | ~ agent(U,W,Y)
                                    | ~ man(U,Y)
                                    | ~ of(U,X,Y)
                                    | ~ vincent_forename(U,X)
                                    | ~ forename(U,X)
                                    | ~ think_believe_consider(U,W)
                                    | ~ present(U,W)
                                    | ~ event(U,W)
                                    | ~ theme(U,W,V)
                                    | ~ proposition(U,V)
                                    | ~ accessible_world(U,V)
                                    | ~ vincent_forename(U,X6) )
                                <=> ( ~ vincent_forename(U,X6)
                                    | ~ theme(U,X5,X1)
                                    | ~ event(U,X5)
                                    | ~ present(U,X5)
                                    | ~ think_believe_consider(U,X5)
                                    | ~ accessible_world(U,X1)
                                    | ~ proposition(U,X1)
                                    | ~ forename(U,X4)
                                    | ~ jules_forename(U,X4)
                                    | ~ of(U,X4,X3)
                                    | ~ man(U,X3)
                                    | ~ be(U,Z,X3,X3)
                                    | ~ event(X1,X2)
                                    | ~ agent(X1,X2,X3)
                                    | ~ present(X1,X2)
                                    | ~ smoke(X1,X2)
                                    | ~ state(U,Z)
                                    | ~ agent(U,W,Y)
                                    | ~ man(U,Y)
                                    | ~ of(U,X,Y)
                                    | ~ vincent_forename(U,X)
                                    | ~ forename(U,X)
                                    | ~ think_believe_consider(U,W)
                                    | ~ present(U,W)
                                    | ~ event(U,W)
                                    | ~ theme(U,W,V)
                                    | ~ proposition(U,V)
                                    | ~ accessible_world(U,V) ) )),
                                ( ( ~ accessible_world(U,V)
                                  | ~ proposition(U,V)
                                  | ~ theme(U,W,V)
                                  | ~ event(U,W)
                                  | ~ present(U,W)
                                  | ~ think_believe_consider(U,W)
                                  | ~ forename(U,X)
                                  | ~ vincent_forename(U,X)
                                  | ~ of(U,X,Y)
                                  | ~ man(U,Y)
                                  | ~ agent(U,W,Y)
                                  | ~ state(U,Z)
                                  | ~ smoke(X1,X2)
                                  | ~ present(X1,X2)
                                  | ~ agent(X1,X2,X3)
                                  | ~ event(X1,X2)
                                  | ~ be(U,Z,X3,X3)
                                  | ~ man(U,X3)
                                  | ~ of(U,X4,X3)
                                  | ~ jules_forename(U,X4)
                                  | ~ forename(U,X4)
                                  | ~ proposition(U,X1)
                                  | ~ accessible_world(U,X1)
                                  | ~ think_believe_consider(U,X5)
                                  | ~ present(U,X5)
                                  | ~ event(U,X5)
                                  | ~ theme(U,X5,X1)
                                  | ~ vincent_forename(U,X6) )
                              <=> ( ~ vincent_forename(U,X6)
                                  | ~ theme(U,X5,X1)
                                  | ~ event(U,X5)
                                  | ~ present(U,X5)
                                  | ~ think_believe_consider(U,X5)
                                  | ~ accessible_world(U,X1)
                                  | ~ proposition(U,X1)
                                  | ~ forename(U,X4)
                                  | ~ jules_forename(U,X4)
                                  | ~ of(U,X4,X3)
                                  | ~ man(U,X3)
                                  | ~ be(U,Z,X3,X3)
                                  | ~ event(X1,X2)
                                  | ~ agent(X1,X2,X3)
                                  | ~ present(X1,X2)
                                  | ~ smoke(X1,X2)
                                  | ~ state(U,Z)
                                  | ~ agent(U,W,Y)
                                  | ~ man(U,Y)
                                  | ~ of(U,X,Y)
                                  | ~ vincent_forename(U,X)
                                  | ~ forename(U,X)
                                  | ~ think_believe_consider(U,W)
                                  | ~ present(U,W)
                                  | ~ event(U,W)
                                  | ~ theme(U,W,V)
                                  | ~ proposition(U,V)
                                  | ~ accessible_world(U,V) ) )),
                              ( ( ~ accessible_world(U,V)
                                | ~ proposition(U,V)
                                | ~ theme(U,W,V)
                                | ~ event(U,W)
                                | ~ present(U,W)
                                | ~ think_believe_consider(U,W)
                                | ~ forename(U,X)
                                | ~ vincent_forename(U,X)
                                | ~ of(U,X,Y)
                                | ~ man(U,Y)
                                | ~ agent(U,W,Y)
                                | ~ state(U,Z)
                                | ~ smoke(X1,X2)
                                | ~ present(X1,X2)
                                | ~ agent(X1,X2,X3)
                                | ~ event(X1,X2)
                                | ~ be(U,Z,X3,X3)
                                | ~ man(U,X3)
                                | ~ of(U,X4,X3)
                                | ~ jules_forename(U,X4)
                                | ~ forename(U,X4)
                                | ~ proposition(U,X1)
                                | ~ accessible_world(U,X1)
                                | ~ think_believe_consider(U,X5)
                                | ~ present(U,X5)
                                | ~ event(U,X5)
                                | ~ theme(U,X5,X1)
                                | ~ vincent_forename(U,X6)
                                | ~ forename(U,X6) )
                            <=> ( ~ vincent_forename(U,X6)
                                | ~ theme(U,X5,X1)
                                | ~ event(U,X5)
                                | ~ present(U,X5)
                                | ~ think_believe_consider(U,X5)
                                | ~ accessible_world(U,X1)
                                | ~ proposition(U,X1)
                                | ~ forename(U,X4)
                                | ~ jules_forename(U,X4)
                                | ~ of(U,X4,X3)
                                | ~ man(U,X3)
                                | ~ be(U,Z,X3,X3)
                                | ~ event(X1,X2)
                                | ~ agent(X1,X2,X3)
                                | ~ present(X1,X2)
                                | ~ smoke(X1,X2)
                                | ~ state(U,Z)
                                | ~ agent(U,W,Y)
                                | ~ man(U,Y)
                                | ~ of(U,X,Y)
                                | ~ vincent_forename(U,X)
                                | ~ forename(U,X)
                                | ~ think_believe_consider(U,W)
                                | ~ present(U,W)
                                | ~ event(U,W)
                                | ~ theme(U,W,V)
                                | ~ proposition(U,V)
                                | ~ accessible_world(U,V)
                                | ~ forename(U,X6) ) )),
                            rewrite(
                              ( ( ~ vincent_forename(U,X6)
                                | ~ theme(U,X5,X1)
                                | ~ event(U,X5)
                                | ~ present(U,X5)
                                | ~ think_believe_consider(U,X5)
                                | ~ accessible_world(U,X1)
                                | ~ proposition(U,X1)
                                | ~ forename(U,X4)
                                | ~ jules_forename(U,X4)
                                | ~ of(U,X4,X3)
                                | ~ man(U,X3)
                                | ~ be(U,Z,X3,X3)
                                | ~ event(X1,X2)
                                | ~ agent(X1,X2,X3)
                                | ~ present(X1,X2)
                                | ~ smoke(X1,X2)
                                | ~ state(U,Z)
                                | ~ agent(U,W,Y)
                                | ~ man(U,Y)
                                | ~ of(U,X,Y)
                                | ~ vincent_forename(U,X)
                                | ~ forename(U,X)
                                | ~ think_believe_consider(U,W)
                                | ~ present(U,W)
                                | ~ event(U,W)
                                | ~ theme(U,W,V)
                                | ~ proposition(U,V)
                                | ~ accessible_world(U,V)
                                | ~ forename(U,X6) )
                            <=> ( ~ forename(U,X6)
                                | ~ vincent_forename(U,X6)
                                | ~ theme(U,X5,X1)
                                | ~ event(U,X5)
                                | ~ present(U,X5)
                                | ~ think_believe_consider(U,X5)
                                | ~ accessible_world(U,X1)
                                | ~ proposition(U,X1)
                                | ~ forename(U,X4)
                                | ~ jules_forename(U,X4)
                                | ~ of(U,X4,X3)
                                | ~ man(U,X3)
                                | ~ be(U,Z,X3,X3)
                                | ~ event(X1,X2)
                                | ~ agent(X1,X2,X3)
                                | ~ present(X1,X2)
                                | ~ smoke(X1,X2)
                                | ~ state(U,Z)
                                | ~ agent(U,W,Y)
                                | ~ man(U,Y)
                                | ~ of(U,X,Y)
                                | ~ vincent_forename(U,X)
                                | ~ forename(U,X)
                                | ~ think_believe_consider(U,W)
                                | ~ present(U,W)
                                | ~ event(U,W)
                                | ~ theme(U,W,V)
                                | ~ proposition(U,V)
                                | ~ accessible_world(U,V) ) )),
                            ( ( ~ accessible_world(U,V)
                              | ~ proposition(U,V)
                              | ~ theme(U,W,V)
                              | ~ event(U,W)
                              | ~ present(U,W)
                              | ~ think_believe_consider(U,W)
                              | ~ forename(U,X)
                              | ~ vincent_forename(U,X)
                              | ~ of(U,X,Y)
                              | ~ man(U,Y)
                              | ~ agent(U,W,Y)
                              | ~ state(U,Z)
                              | ~ smoke(X1,X2)
                              | ~ present(X1,X2)
                              | ~ agent(X1,X2,X3)
                              | ~ event(X1,X2)
                              | ~ be(U,Z,X3,X3)
                              | ~ man(U,X3)
                              | ~ of(U,X4,X3)
                              | ~ jules_forename(U,X4)
                              | ~ forename(U,X4)
                              | ~ proposition(U,X1)
                              | ~ accessible_world(U,X1)
                              | ~ think_believe_consider(U,X5)
                              | ~ present(U,X5)
                              | ~ event(U,X5)
                              | ~ theme(U,X5,X1)
                              | ~ vincent_forename(U,X6)
                              | ~ forename(U,X6) )
                          <=> ( ~ forename(U,X6)
                              | ~ vincent_forename(U,X6)
                              | ~ theme(U,X5,X1)
                              | ~ event(U,X5)
                              | ~ present(U,X5)
                              | ~ think_believe_consider(U,X5)
                              | ~ accessible_world(U,X1)
                              | ~ proposition(U,X1)
                              | ~ forename(U,X4)
                              | ~ jules_forename(U,X4)
                              | ~ of(U,X4,X3)
                              | ~ man(U,X3)
                              | ~ be(U,Z,X3,X3)
                              | ~ event(X1,X2)
                              | ~ agent(X1,X2,X3)
                              | ~ present(X1,X2)
                              | ~ smoke(X1,X2)
                              | ~ state(U,Z)
                              | ~ agent(U,W,Y)
                              | ~ man(U,Y)
                              | ~ of(U,X,Y)
                              | ~ vincent_forename(U,X)
                              | ~ forename(U,X)
                              | ~ think_believe_consider(U,W)
                              | ~ present(U,W)
                              | ~ event(U,W)
                              | ~ theme(U,W,V)
                              | ~ proposition(U,V)
                              | ~ accessible_world(U,V) ) )),
                          ( ( ~ accessible_world(U,V)
                            | ~ proposition(U,V)
                            | ~ theme(U,W,V)
                            | ~ event(U,W)
                            | ~ present(U,W)
                            | ~ think_believe_consider(U,W)
                            | ~ forename(U,X)
                            | ~ vincent_forename(U,X)
                            | ~ of(U,X,Y)
                            | ~ man(U,Y)
                            | ~ agent(U,W,Y)
                            | ~ state(U,Z)
                            | ~ smoke(X1,X2)
                            | ~ present(X1,X2)
                            | ~ agent(X1,X2,X3)
                            | ~ event(X1,X2)
                            | ~ be(U,Z,X3,X3)
                            | ~ man(U,X3)
                            | ~ of(U,X4,X3)
                            | ~ jules_forename(U,X4)
                            | ~ forename(U,X4)
                            | ~ proposition(U,X1)
                            | ~ accessible_world(U,X1)
                            | ~ think_believe_consider(U,X5)
                            | ~ present(U,X5)
                            | ~ event(U,X5)
                            | ~ theme(U,X5,X1)
                            | ~ vincent_forename(U,X6)
                            | ~ forename(U,X6)
                            | ~ agent(U,X5,X7) )
                        <=> ( ~ forename(U,X6)
                            | ~ vincent_forename(U,X6)
                            | ~ theme(U,X5,X1)
                            | ~ event(U,X5)
                            | ~ present(U,X5)
                            | ~ think_believe_consider(U,X5)
                            | ~ accessible_world(U,X1)
                            | ~ proposition(U,X1)
                            | ~ forename(U,X4)
                            | ~ jules_forename(U,X4)
                            | ~ of(U,X4,X3)
                            | ~ man(U,X3)
                            | ~ be(U,Z,X3,X3)
                            | ~ event(X1,X2)
                            | ~ agent(X1,X2,X3)
                            | ~ present(X1,X2)
                            | ~ smoke(X1,X2)
                            | ~ state(U,Z)
                            | ~ agent(U,W,Y)
                            | ~ man(U,Y)
                            | ~ of(U,X,Y)
                            | ~ vincent_forename(U,X)
                            | ~ forename(U,X)
                            | ~ think_believe_consider(U,W)
                            | ~ present(U,W)
                            | ~ event(U,W)
                            | ~ theme(U,W,V)
                            | ~ proposition(U,V)
                            | ~ accessible_world(U,V)
                            | ~ agent(U,X5,X7) ) )),
                        rewrite(
                          ( ( ~ forename(U,X6)
                            | ~ vincent_forename(U,X6)
                            | ~ theme(U,X5,X1)
                            | ~ event(U,X5)
                            | ~ present(U,X5)
                            | ~ think_believe_consider(U,X5)
                            | ~ accessible_world(U,X1)
                            | ~ proposition(U,X1)
                            | ~ forename(U,X4)
                            | ~ jules_forename(U,X4)
                            | ~ of(U,X4,X3)
                            | ~ man(U,X3)
                            | ~ be(U,Z,X3,X3)
                            | ~ event(X1,X2)
                            | ~ agent(X1,X2,X3)
                            | ~ present(X1,X2)
                            | ~ smoke(X1,X2)
                            | ~ state(U,Z)
                            | ~ agent(U,W,Y)
                            | ~ man(U,Y)
                            | ~ of(U,X,Y)
                            | ~ vincent_forename(U,X)
                            | ~ forename(U,X)
                            | ~ think_believe_consider(U,W)
                            | ~ present(U,W)
                            | ~ event(U,W)
                            | ~ theme(U,W,V)
                            | ~ proposition(U,V)
                            | ~ accessible_world(U,V)
                            | ~ agent(U,X5,X7) )
                        <=> ( ~ agent(U,X5,X7)
                            | ~ forename(U,X6)
                            | ~ vincent_forename(U,X6)
                            | ~ theme(U,X5,X1)
                            | ~ event(U,X5)
                            | ~ present(U,X5)
                            | ~ think_believe_consider(U,X5)
                            | ~ accessible_world(U,X1)
                            | ~ proposition(U,X1)
                            | ~ forename(U,X4)
                            | ~ jules_forename(U,X4)
                            | ~ of(U,X4,X3)
                            | ~ man(U,X3)
                            | ~ be(U,Z,X3,X3)
                            | ~ event(X1,X2)
                            | ~ agent(X1,X2,X3)
                            | ~ present(X1,X2)
                            | ~ smoke(X1,X2)
                            | ~ state(U,Z)
                            | ~ agent(U,W,Y)
                            | ~ man(U,Y)
                            | ~ of(U,X,Y)
                            | ~ vincent_forename(U,X)
                            | ~ forename(U,X)
                            | ~ think_believe_consider(U,W)
                            | ~ present(U,W)
                            | ~ event(U,W)
                            | ~ theme(U,W,V)
                            | ~ proposition(U,V)
                            | ~ accessible_world(U,V) ) )),
                        ( ( ~ accessible_world(U,V)
                          | ~ proposition(U,V)
                          | ~ theme(U,W,V)
                          | ~ event(U,W)
                          | ~ present(U,W)
                          | ~ think_believe_consider(U,W)
                          | ~ forename(U,X)
                          | ~ vincent_forename(U,X)
                          | ~ of(U,X,Y)
                          | ~ man(U,Y)
                          | ~ agent(U,W,Y)
                          | ~ state(U,Z)
                          | ~ smoke(X1,X2)
                          | ~ present(X1,X2)
                          | ~ agent(X1,X2,X3)
                          | ~ event(X1,X2)
                          | ~ be(U,Z,X3,X3)
                          | ~ man(U,X3)
                          | ~ of(U,X4,X3)
                          | ~ jules_forename(U,X4)
                          | ~ forename(U,X4)
                          | ~ proposition(U,X1)
                          | ~ accessible_world(U,X1)
                          | ~ think_believe_consider(U,X5)
                          | ~ present(U,X5)
                          | ~ event(U,X5)
                          | ~ theme(U,X5,X1)
                          | ~ vincent_forename(U,X6)
                          | ~ forename(U,X6)
                          | ~ agent(U,X5,X7) )
                      <=> ( ~ agent(U,X5,X7)
                          | ~ forename(U,X6)
                          | ~ vincent_forename(U,X6)
                          | ~ theme(U,X5,X1)
                          | ~ event(U,X5)
                          | ~ present(U,X5)
                          | ~ think_believe_consider(U,X5)
                          | ~ accessible_world(U,X1)
                          | ~ proposition(U,X1)
                          | ~ forename(U,X4)
                          | ~ jules_forename(U,X4)
                          | ~ of(U,X4,X3)
                          | ~ man(U,X3)
                          | ~ be(U,Z,X3,X3)
                          | ~ event(X1,X2)
                          | ~ agent(X1,X2,X3)
                          | ~ present(X1,X2)
                          | ~ smoke(X1,X2)
                          | ~ state(U,Z)
                          | ~ agent(U,W,Y)
                          | ~ man(U,Y)
                          | ~ of(U,X,Y)
                          | ~ vincent_forename(U,X)
                          | ~ forename(U,X)
                          | ~ think_believe_consider(U,W)
                          | ~ present(U,W)
                          | ~ event(U,W)
                          | ~ theme(U,W,V)
                          | ~ proposition(U,V)
                          | ~ accessible_world(U,V) ) )),
                      ( ( ~ accessible_world(U,V)
                        | ~ proposition(U,V)
                        | ~ theme(U,W,V)
                        | ~ event(U,W)
                        | ~ present(U,W)
                        | ~ think_believe_consider(U,W)
                        | ~ forename(U,X)
                        | ~ vincent_forename(U,X)
                        | ~ of(U,X,Y)
                        | ~ man(U,Y)
                        | ~ agent(U,W,Y)
                        | ~ state(U,Z)
                        | ~ smoke(X1,X2)
                        | ~ present(X1,X2)
                        | ~ agent(X1,X2,X3)
                        | ~ event(X1,X2)
                        | ~ be(U,Z,X3,X3)
                        | ~ man(U,X3)
                        | ~ of(U,X4,X3)
                        | ~ jules_forename(U,X4)
                        | ~ forename(U,X4)
                        | ~ proposition(U,X1)
                        | ~ accessible_world(U,X1)
                        | ~ think_believe_consider(U,X5)
                        | ~ present(U,X5)
                        | ~ event(U,X5)
                        | ~ theme(U,X5,X1)
                        | ~ vincent_forename(U,X6)
                        | ~ forename(U,X6)
                        | ~ agent(U,X5,X7)
                        | ~ man(U,X7) )
                    <=> ( ~ agent(U,X5,X7)
                        | ~ forename(U,X6)
                        | ~ vincent_forename(U,X6)
                        | ~ theme(U,X5,X1)
                        | ~ event(U,X5)
                        | ~ present(U,X5)
                        | ~ think_believe_consider(U,X5)
                        | ~ accessible_world(U,X1)
                        | ~ proposition(U,X1)
                        | ~ forename(U,X4)
                        | ~ jules_forename(U,X4)
                        | ~ of(U,X4,X3)
                        | ~ man(U,X3)
                        | ~ be(U,Z,X3,X3)
                        | ~ event(X1,X2)
                        | ~ agent(X1,X2,X3)
                        | ~ present(X1,X2)
                        | ~ smoke(X1,X2)
                        | ~ state(U,Z)
                        | ~ agent(U,W,Y)
                        | ~ man(U,Y)
                        | ~ of(U,X,Y)
                        | ~ vincent_forename(U,X)
                        | ~ forename(U,X)
                        | ~ think_believe_consider(U,W)
                        | ~ present(U,W)
                        | ~ event(U,W)
                        | ~ theme(U,W,V)
                        | ~ proposition(U,V)
                        | ~ accessible_world(U,V)
                        | ~ man(U,X7) ) )),
                    rewrite(
                      ( ( ~ agent(U,X5,X7)
                        | ~ forename(U,X6)
                        | ~ vincent_forename(U,X6)
                        | ~ theme(U,X5,X1)
                        | ~ event(U,X5)
                        | ~ present(U,X5)
                        | ~ think_believe_consider(U,X5)
                        | ~ accessible_world(U,X1)
                        | ~ proposition(U,X1)
                        | ~ forename(U,X4)
                        | ~ jules_forename(U,X4)
                        | ~ of(U,X4,X3)
                        | ~ man(U,X3)
                        | ~ be(U,Z,X3,X3)
                        | ~ event(X1,X2)
                        | ~ agent(X1,X2,X3)
                        | ~ present(X1,X2)
                        | ~ smoke(X1,X2)
                        | ~ state(U,Z)
                        | ~ agent(U,W,Y)
                        | ~ man(U,Y)
                        | ~ of(U,X,Y)
                        | ~ vincent_forename(U,X)
                        | ~ forename(U,X)
                        | ~ think_believe_consider(U,W)
                        | ~ present(U,W)
                        | ~ event(U,W)
                        | ~ theme(U,W,V)
                        | ~ proposition(U,V)
                        | ~ accessible_world(U,V)
                        | ~ man(U,X7) )
                    <=> ( ~ man(U,X7)
                        | ~ agent(U,X5,X7)
                        | ~ forename(U,X6)
                        | ~ vincent_forename(U,X6)
                        | ~ theme(U,X5,X1)
                        | ~ event(U,X5)
                        | ~ present(U,X5)
                        | ~ think_believe_consider(U,X5)
                        | ~ accessible_world(U,X1)
                        | ~ proposition(U,X1)
                        | ~ forename(U,X4)
                        | ~ jules_forename(U,X4)
                        | ~ of(U,X4,X3)
                        | ~ man(U,X3)
                        | ~ be(U,Z,X3,X3)
                        | ~ event(X1,X2)
                        | ~ agent(X1,X2,X3)
                        | ~ present(X1,X2)
                        | ~ smoke(X1,X2)
                        | ~ state(U,Z)
                        | ~ agent(U,W,Y)
                        | ~ man(U,Y)
                        | ~ of(U,X,Y)
                        | ~ vincent_forename(U,X)
                        | ~ forename(U,X)
                        | ~ think_believe_consider(U,W)
                        | ~ present(U,W)
                        | ~ event(U,W)
                        | ~ theme(U,W,V)
                        | ~ proposition(U,V)
                        | ~ accessible_world(U,V) ) )),
                    ( ( ~ accessible_world(U,V)
                      | ~ proposition(U,V)
                      | ~ theme(U,W,V)
                      | ~ event(U,W)
                      | ~ present(U,W)
                      | ~ think_believe_consider(U,W)
                      | ~ forename(U,X)
                      | ~ vincent_forename(U,X)
                      | ~ of(U,X,Y)
                      | ~ man(U,Y)
                      | ~ agent(U,W,Y)
                      | ~ state(U,Z)
                      | ~ smoke(X1,X2)
                      | ~ present(X1,X2)
                      | ~ agent(X1,X2,X3)
                      | ~ event(X1,X2)
                      | ~ be(U,Z,X3,X3)
                      | ~ man(U,X3)
                      | ~ of(U,X4,X3)
                      | ~ jules_forename(U,X4)
                      | ~ forename(U,X4)
                      | ~ proposition(U,X1)
                      | ~ accessible_world(U,X1)
                      | ~ think_believe_consider(U,X5)
                      | ~ present(U,X5)
                      | ~ event(U,X5)
                      | ~ theme(U,X5,X1)
                      | ~ vincent_forename(U,X6)
                      | ~ forename(U,X6)
                      | ~ agent(U,X5,X7)
                      | ~ man(U,X7) )
                  <=> ( ~ man(U,X7)
                      | ~ agent(U,X5,X7)
                      | ~ forename(U,X6)
                      | ~ vincent_forename(U,X6)
                      | ~ theme(U,X5,X1)
                      | ~ event(U,X5)
                      | ~ present(U,X5)
                      | ~ think_believe_consider(U,X5)
                      | ~ accessible_world(U,X1)
                      | ~ proposition(U,X1)
                      | ~ forename(U,X4)
                      | ~ jules_forename(U,X4)
                      | ~ of(U,X4,X3)
                      | ~ man(U,X3)
                      | ~ be(U,Z,X3,X3)
                      | ~ event(X1,X2)
                      | ~ agent(X1,X2,X3)
                      | ~ present(X1,X2)
                      | ~ smoke(X1,X2)
                      | ~ state(U,Z)
                      | ~ agent(U,W,Y)
                      | ~ man(U,Y)
                      | ~ of(U,X,Y)
                      | ~ vincent_forename(U,X)
                      | ~ forename(U,X)
                      | ~ think_believe_consider(U,W)
                      | ~ present(U,W)
                      | ~ event(U,W)
                      | ~ theme(U,W,V)
                      | ~ proposition(U,V)
                      | ~ accessible_world(U,V) ) )),
                  ( ( ~ accessible_world(U,V)
                    | ~ proposition(U,V)
                    | ~ theme(U,W,V)
                    | ~ event(U,W)
                    | ~ present(U,W)
                    | ~ think_believe_consider(U,W)
                    | ~ forename(U,X)
                    | ~ vincent_forename(U,X)
                    | ~ of(U,X,Y)
                    | ~ man(U,Y)
                    | ~ agent(U,W,Y)
                    | ~ state(U,Z)
                    | ~ smoke(X1,X2)
                    | ~ present(X1,X2)
                    | ~ agent(X1,X2,X3)
                    | ~ event(X1,X2)
                    | ~ be(U,Z,X3,X3)
                    | ~ man(U,X3)
                    | ~ of(U,X4,X3)
                    | ~ jules_forename(U,X4)
                    | ~ forename(U,X4)
                    | ~ proposition(U,X1)
                    | ~ accessible_world(U,X1)
                    | ~ think_believe_consider(U,X5)
                    | ~ present(U,X5)
                    | ~ event(U,X5)
                    | ~ theme(U,X5,X1)
                    | ~ vincent_forename(U,X6)
                    | ~ forename(U,X6)
                    | ~ agent(U,X5,X7)
                    | ~ man(U,X7)
                    | ~ of(U,X6,X7) )
                <=> ( ~ man(U,X7)
                    | ~ agent(U,X5,X7)
                    | ~ forename(U,X6)
                    | ~ vincent_forename(U,X6)
                    | ~ theme(U,X5,X1)
                    | ~ event(U,X5)
                    | ~ present(U,X5)
                    | ~ think_believe_consider(U,X5)
                    | ~ accessible_world(U,X1)
                    | ~ proposition(U,X1)
                    | ~ forename(U,X4)
                    | ~ jules_forename(U,X4)
                    | ~ of(U,X4,X3)
                    | ~ man(U,X3)
                    | ~ be(U,Z,X3,X3)
                    | ~ event(X1,X2)
                    | ~ agent(X1,X2,X3)
                    | ~ present(X1,X2)
                    | ~ smoke(X1,X2)
                    | ~ state(U,Z)
                    | ~ agent(U,W,Y)
                    | ~ man(U,Y)
                    | ~ of(U,X,Y)
                    | ~ vincent_forename(U,X)
                    | ~ forename(U,X)
                    | ~ think_believe_consider(U,W)
                    | ~ present(U,W)
                    | ~ event(U,W)
                    | ~ theme(U,W,V)
                    | ~ proposition(U,V)
                    | ~ accessible_world(U,V)
                    | ~ of(U,X6,X7) ) )),
                rewrite(
                  ( ( ~ man(U,X7)
                    | ~ agent(U,X5,X7)
                    | ~ forename(U,X6)
                    | ~ vincent_forename(U,X6)
                    | ~ theme(U,X5,X1)
                    | ~ event(U,X5)
                    | ~ present(U,X5)
                    | ~ think_believe_consider(U,X5)
                    | ~ accessible_world(U,X1)
                    | ~ proposition(U,X1)
                    | ~ forename(U,X4)
                    | ~ jules_forename(U,X4)
                    | ~ of(U,X4,X3)
                    | ~ man(U,X3)
                    | ~ be(U,Z,X3,X3)
                    | ~ event(X1,X2)
                    | ~ agent(X1,X2,X3)
                    | ~ present(X1,X2)
                    | ~ smoke(X1,X2)
                    | ~ state(U,Z)
                    | ~ agent(U,W,Y)
                    | ~ man(U,Y)
                    | ~ of(U,X,Y)
                    | ~ vincent_forename(U,X)
                    | ~ forename(U,X)
                    | ~ think_believe_consider(U,W)
                    | ~ present(U,W)
                    | ~ event(U,W)
                    | ~ theme(U,W,V)
                    | ~ proposition(U,V)
                    | ~ accessible_world(U,V)
                    | ~ of(U,X6,X7) )
                <=> ( ~ of(U,X6,X7)
                    | ~ man(U,X7)
                    | ~ agent(U,X5,X7)
                    | ~ forename(U,X6)
                    | ~ vincent_forename(U,X6)
                    | ~ theme(U,X5,X1)
                    | ~ event(U,X5)
                    | ~ present(U,X5)
                    | ~ think_believe_consider(U,X5)
                    | ~ accessible_world(U,X1)
                    | ~ proposition(U,X1)
                    | ~ forename(U,X4)
                    | ~ jules_forename(U,X4)
                    | ~ of(U,X4,X3)
                    | ~ man(U,X3)
                    | ~ be(U,Z,X3,X3)
                    | ~ event(X1,X2)
                    | ~ agent(X1,X2,X3)
                    | ~ present(X1,X2)
                    | ~ smoke(X1,X2)
                    | ~ state(U,Z)
                    | ~ agent(U,W,Y)
                    | ~ man(U,Y)
                    | ~ of(U,X,Y)
                    | ~ vincent_forename(U,X)
                    | ~ forename(U,X)
                    | ~ think_believe_consider(U,W)
                    | ~ present(U,W)
                    | ~ event(U,W)
                    | ~ theme(U,W,V)
                    | ~ proposition(U,V)
                    | ~ accessible_world(U,V) ) )),
                ( ( ~ accessible_world(U,V)
                  | ~ proposition(U,V)
                  | ~ theme(U,W,V)
                  | ~ event(U,W)
                  | ~ present(U,W)
                  | ~ think_believe_consider(U,W)
                  | ~ forename(U,X)
                  | ~ vincent_forename(U,X)
                  | ~ of(U,X,Y)
                  | ~ man(U,Y)
                  | ~ agent(U,W,Y)
                  | ~ state(U,Z)
                  | ~ smoke(X1,X2)
                  | ~ present(X1,X2)
                  | ~ agent(X1,X2,X3)
                  | ~ event(X1,X2)
                  | ~ be(U,Z,X3,X3)
                  | ~ man(U,X3)
                  | ~ of(U,X4,X3)
                  | ~ jules_forename(U,X4)
                  | ~ forename(U,X4)
                  | ~ proposition(U,X1)
                  | ~ accessible_world(U,X1)
                  | ~ think_believe_consider(U,X5)
                  | ~ present(U,X5)
                  | ~ event(U,X5)
                  | ~ theme(U,X5,X1)
                  | ~ vincent_forename(U,X6)
                  | ~ forename(U,X6)
                  | ~ agent(U,X5,X7)
                  | ~ man(U,X7)
                  | ~ of(U,X6,X7) )
              <=> ( ~ of(U,X6,X7)
                  | ~ man(U,X7)
                  | ~ agent(U,X5,X7)
                  | ~ forename(U,X6)
                  | ~ vincent_forename(U,X6)
                  | ~ theme(U,X5,X1)
                  | ~ event(U,X5)
                  | ~ present(U,X5)
                  | ~ think_believe_consider(U,X5)
                  | ~ accessible_world(U,X1)
                  | ~ proposition(U,X1)
                  | ~ forename(U,X4)
                  | ~ jules_forename(U,X4)
                  | ~ of(U,X4,X3)
                  | ~ man(U,X3)
                  | ~ be(U,Z,X3,X3)
                  | ~ event(X1,X2)
                  | ~ agent(X1,X2,X3)
                  | ~ present(X1,X2)
                  | ~ smoke(X1,X2)
                  | ~ state(U,Z)
                  | ~ agent(U,W,Y)
                  | ~ man(U,Y)
                  | ~ of(U,X,Y)
                  | ~ vincent_forename(U,X)
                  | ~ forename(U,X)
                  | ~ think_believe_consider(U,W)
                  | ~ present(U,W)
                  | ~ event(U,W)
                  | ~ theme(U,W,V)
                  | ~ proposition(U,V)
                  | ~ accessible_world(U,V) ) )),
              ( ( ~ accessible_world(U,V)
                | ~ proposition(U,V)
                | ~ theme(U,W,V)
                | ~ event(U,W)
                | ~ present(U,W)
                | ~ think_believe_consider(U,W)
                | ~ forename(U,X)
                | ~ vincent_forename(U,X)
                | ~ of(U,X,Y)
                | ~ man(U,Y)
                | ~ agent(U,W,Y)
                | ~ state(U,Z)
                | ~ smoke(X1,X2)
                | ~ present(X1,X2)
                | ~ agent(X1,X2,X3)
                | ~ event(X1,X2)
                | ~ be(U,Z,X3,X3)
                | ~ man(U,X3)
                | ~ of(U,X4,X3)
                | ~ jules_forename(U,X4)
                | ~ forename(U,X4)
                | ~ proposition(U,X1)
                | ~ accessible_world(U,X1)
                | ~ think_believe_consider(U,X5)
                | ~ present(U,X5)
                | ~ event(U,X5)
                | ~ theme(U,X5,X1)
                | ~ vincent_forename(U,X6)
                | ~ forename(U,X6)
                | ~ agent(U,X5,X7)
                | ~ man(U,X7)
                | ~ of(U,X6,X7)
                | ~ actual_world(U) )
            <=> ( ~ of(U,X6,X7)
                | ~ man(U,X7)
                | ~ agent(U,X5,X7)
                | ~ forename(U,X6)
                | ~ vincent_forename(U,X6)
                | ~ theme(U,X5,X1)
                | ~ event(U,X5)
                | ~ present(U,X5)
                | ~ think_believe_consider(U,X5)
                | ~ accessible_world(U,X1)
                | ~ proposition(U,X1)
                | ~ forename(U,X4)
                | ~ jules_forename(U,X4)
                | ~ of(U,X4,X3)
                | ~ man(U,X3)
                | ~ be(U,Z,X3,X3)
                | ~ event(X1,X2)
                | ~ agent(X1,X2,X3)
                | ~ present(X1,X2)
                | ~ smoke(X1,X2)
                | ~ state(U,Z)
                | ~ agent(U,W,Y)
                | ~ man(U,Y)
                | ~ of(U,X,Y)
                | ~ vincent_forename(U,X)
                | ~ forename(U,X)
                | ~ think_believe_consider(U,W)
                | ~ present(U,W)
                | ~ event(U,W)
                | ~ theme(U,W,V)
                | ~ proposition(U,V)
                | ~ accessible_world(U,V)
                | ~ actual_world(U) ) )),
            rewrite(
              ( ( ~ of(U,X6,X7)
                | ~ man(U,X7)
                | ~ agent(U,X5,X7)
                | ~ forename(U,X6)
                | ~ vincent_forename(U,X6)
                | ~ theme(U,X5,X1)
                | ~ event(U,X5)
                | ~ present(U,X5)
                | ~ think_believe_consider(U,X5)
                | ~ accessible_world(U,X1)
                | ~ proposition(U,X1)
                | ~ forename(U,X4)
                | ~ jules_forename(U,X4)
                | ~ of(U,X4,X3)
                | ~ man(U,X3)
                | ~ be(U,Z,X3,X3)
                | ~ event(X1,X2)
                | ~ agent(X1,X2,X3)
                | ~ present(X1,X2)
                | ~ smoke(X1,X2)
                | ~ state(U,Z)
                | ~ agent(U,W,Y)
                | ~ man(U,Y)
                | ~ of(U,X,Y)
                | ~ vincent_forename(U,X)
                | ~ forename(U,X)
                | ~ think_believe_consider(U,W)
                | ~ present(U,W)
                | ~ event(U,W)
                | ~ theme(U,W,V)
                | ~ proposition(U,V)
                | ~ accessible_world(U,V)
                | ~ actual_world(U) )
            <=> ( ~ actual_world(U)
                | ~ of(U,X6,X7)
                | ~ man(U,X7)
                | ~ agent(U,X5,X7)
                | ~ forename(U,X6)
                | ~ vincent_forename(U,X6)
                | ~ theme(U,X5,X1)
                | ~ event(U,X5)
                | ~ present(U,X5)
                | ~ think_believe_consider(U,X5)
                | ~ accessible_world(U,X1)
                | ~ proposition(U,X1)
                | ~ forename(U,X4)
                | ~ jules_forename(U,X4)
                | ~ of(U,X4,X3)
                | ~ man(U,X3)
                | ~ be(U,Z,X3,X3)
                | ~ event(X1,X2)
                | ~ agent(X1,X2,X3)
                | ~ present(X1,X2)
                | ~ smoke(X1,X2)
                | ~ state(U,Z)
                | ~ agent(U,W,Y)
                | ~ man(U,Y)
                | ~ of(U,X,Y)
                | ~ vincent_forename(U,X)
                | ~ forename(U,X)
                | ~ think_believe_consider(U,W)
                | ~ present(U,W)
                | ~ event(U,W)
                | ~ theme(U,W,V)
                | ~ proposition(U,V)
                | ~ accessible_world(U,V) ) )),
            ( ( ~ accessible_world(U,V)
              | ~ proposition(U,V)
              | ~ theme(U,W,V)
              | ~ event(U,W)
              | ~ present(U,W)
              | ~ think_believe_consider(U,W)
              | ~ forename(U,X)
              | ~ vincent_forename(U,X)
              | ~ of(U,X,Y)
              | ~ man(U,Y)
              | ~ agent(U,W,Y)
              | ~ state(U,Z)
              | ~ smoke(X1,X2)
              | ~ present(X1,X2)
              | ~ agent(X1,X2,X3)
              | ~ event(X1,X2)
              | ~ be(U,Z,X3,X3)
              | ~ man(U,X3)
              | ~ of(U,X4,X3)
              | ~ jules_forename(U,X4)
              | ~ forename(U,X4)
              | ~ proposition(U,X1)
              | ~ accessible_world(U,X1)
              | ~ think_believe_consider(U,X5)
              | ~ present(U,X5)
              | ~ event(U,X5)
              | ~ theme(U,X5,X1)
              | ~ vincent_forename(U,X6)
              | ~ forename(U,X6)
              | ~ agent(U,X5,X7)
              | ~ man(U,X7)
              | ~ of(U,X6,X7)
              | ~ actual_world(U) )
          <=> ( ~ actual_world(U)
              | ~ of(U,X6,X7)
              | ~ man(U,X7)
              | ~ agent(U,X5,X7)
              | ~ forename(U,X6)
              | ~ vincent_forename(U,X6)
              | ~ theme(U,X5,X1)
              | ~ event(U,X5)
              | ~ present(U,X5)
              | ~ think_believe_consider(U,X5)
              | ~ accessible_world(U,X1)
              | ~ proposition(U,X1)
              | ~ forename(U,X4)
              | ~ jules_forename(U,X4)
              | ~ of(U,X4,X3)
              | ~ man(U,X3)
              | ~ be(U,Z,X3,X3)
              | ~ event(X1,X2)
              | ~ agent(X1,X2,X3)
              | ~ present(X1,X2)
              | ~ smoke(X1,X2)
              | ~ state(U,Z)
              | ~ agent(U,W,Y)
              | ~ man(U,Y)
              | ~ of(U,X,Y)
              | ~ vincent_forename(U,X)
              | ~ forename(U,X)
              | ~ think_believe_consider(U,W)
              | ~ present(U,W)
              | ~ event(U,W)
              | ~ theme(U,W,V)
              | ~ proposition(U,V)
              | ~ accessible_world(U,V) ) )),
          ( ( ~ accessible_world(U,V)
            | ~ proposition(U,V)
            | ~ theme(U,W,V)
            | ~ event(U,W)
            | ~ present(U,W)
            | ~ think_believe_consider(U,W)
            | ~ forename(U,X)
            | ~ vincent_forename(U,X)
            | ~ of(U,X,Y)
            | ~ man(U,Y)
            | ~ agent(U,W,Y)
            | ~ state(U,Z)
            | ~ smoke(X1,X2)
            | ~ present(X1,X2)
            | ~ agent(X1,X2,X3)
            | ~ event(X1,X2)
            | ~ be(U,Z,X3,X3)
            | ~ man(U,X3)
            | ~ of(U,X4,X3)
            | ~ jules_forename(U,X4)
            | ~ forename(U,X4)
            | ~ proposition(U,X1)
            | ~ accessible_world(U,X1)
            | ~ think_believe_consider(U,X5)
            | ~ present(U,X5)
            | ~ event(U,X5)
            | ~ theme(U,X5,X1)
            | ~ vincent_forename(U,X6)
            | ~ forename(U,X6)
            | ~ agent(U,X5,X7)
            | ~ man(U,X7)
            | ~ of(U,X6,X7)
            | ~ actual_world(U)
            | man(V,skf4(V)) )
        <=> ( ~ actual_world(U)
            | ~ of(U,X6,X7)
            | ~ man(U,X7)
            | ~ agent(U,X5,X7)
            | ~ forename(U,X6)
            | ~ vincent_forename(U,X6)
            | ~ theme(U,X5,X1)
            | ~ event(U,X5)
            | ~ present(U,X5)
            | ~ think_believe_consider(U,X5)
            | ~ accessible_world(U,X1)
            | ~ proposition(U,X1)
            | ~ forename(U,X4)
            | ~ jules_forename(U,X4)
            | ~ of(U,X4,X3)
            | ~ man(U,X3)
            | ~ be(U,Z,X3,X3)
            | ~ event(X1,X2)
            | ~ agent(X1,X2,X3)
            | ~ present(X1,X2)
            | ~ smoke(X1,X2)
            | ~ state(U,Z)
            | ~ agent(U,W,Y)
            | ~ man(U,Y)
            | ~ of(U,X,Y)
            | ~ vincent_forename(U,X)
            | ~ forename(U,X)
            | ~ think_believe_consider(U,W)
            | ~ present(U,W)
            | ~ event(U,W)
            | ~ theme(U,W,V)
            | ~ proposition(U,V)
            | ~ accessible_world(U,V)
            | man(V,skf4(V)) ) )),
        rewrite(
          ( ( ~ actual_world(U)
            | ~ of(U,X6,X7)
            | ~ man(U,X7)
            | ~ agent(U,X5,X7)
            | ~ forename(U,X6)
            | ~ vincent_forename(U,X6)
            | ~ theme(U,X5,X1)
            | ~ event(U,X5)
            | ~ present(U,X5)
            | ~ think_believe_consider(U,X5)
            | ~ accessible_world(U,X1)
            | ~ proposition(U,X1)
            | ~ forename(U,X4)
            | ~ jules_forename(U,X4)
            | ~ of(U,X4,X3)
            | ~ man(U,X3)
            | ~ be(U,Z,X3,X3)
            | ~ event(X1,X2)
            | ~ agent(X1,X2,X3)
            | ~ present(X1,X2)
            | ~ smoke(X1,X2)
            | ~ state(U,Z)
            | ~ agent(U,W,Y)
            | ~ man(U,Y)
            | ~ of(U,X,Y)
            | ~ vincent_forename(U,X)
            | ~ forename(U,X)
            | ~ think_believe_consider(U,W)
            | ~ present(U,W)
            | ~ event(U,W)
            | ~ theme(U,W,V)
            | ~ proposition(U,V)
            | ~ accessible_world(U,V)
            | man(V,skf4(V)) )
        <=> ( man(V,skf4(V))
            | ~ actual_world(U)
            | ~ of(U,X6,X7)
            | ~ man(U,X7)
            | ~ agent(U,X5,X7)
            | ~ forename(U,X6)
            | ~ vincent_forename(U,X6)
            | ~ theme(U,X5,X1)
            | ~ event(U,X5)
            | ~ present(U,X5)
            | ~ think_believe_consider(U,X5)
            | ~ accessible_world(U,X1)
            | ~ proposition(U,X1)
            | ~ forename(U,X4)
            | ~ jules_forename(U,X4)
            | ~ of(U,X4,X3)
            | ~ man(U,X3)
            | ~ be(U,Z,X3,X3)
            | ~ event(X1,X2)
            | ~ agent(X1,X2,X3)
            | ~ present(X1,X2)
            | ~ smoke(X1,X2)
            | ~ state(U,Z)
            | ~ agent(U,W,Y)
            | ~ man(U,Y)
            | ~ of(U,X,Y)
            | ~ vincent_forename(U,X)
            | ~ forename(U,X)
            | ~ think_believe_consider(U,W)
            | ~ present(U,W)
            | ~ event(U,W)
            | ~ theme(U,W,V)
            | ~ proposition(U,V)
            | ~ accessible_world(U,V) ) )),
        ( ( ~ accessible_world(U,V)
          | ~ proposition(U,V)
          | ~ theme(U,W,V)
          | ~ event(U,W)
          | ~ present(U,W)
          | ~ think_believe_consider(U,W)
          | ~ forename(U,X)
          | ~ vincent_forename(U,X)
          | ~ of(U,X,Y)
          | ~ man(U,Y)
          | ~ agent(U,W,Y)
          | ~ state(U,Z)
          | ~ smoke(X1,X2)
          | ~ present(X1,X2)
          | ~ agent(X1,X2,X3)
          | ~ event(X1,X2)
          | ~ be(U,Z,X3,X3)
          | ~ man(U,X3)
          | ~ of(U,X4,X3)
          | ~ jules_forename(U,X4)
          | ~ forename(U,X4)
          | ~ proposition(U,X1)
          | ~ accessible_world(U,X1)
          | ~ think_believe_consider(U,X5)
          | ~ present(U,X5)
          | ~ event(U,X5)
          | ~ theme(U,X5,X1)
          | ~ vincent_forename(U,X6)
          | ~ forename(U,X6)
          | ~ agent(U,X5,X7)
          | ~ man(U,X7)
          | ~ of(U,X6,X7)
          | ~ actual_world(U)
          | man(V,skf4(V)) )
      <=> ( man(V,skf4(V))
          | ~ actual_world(U)
          | ~ of(U,X6,X7)
          | ~ man(U,X7)
          | ~ agent(U,X5,X7)
          | ~ forename(U,X6)
          | ~ vincent_forename(U,X6)
          | ~ theme(U,X5,X1)
          | ~ event(U,X5)
          | ~ present(U,X5)
          | ~ think_believe_consider(U,X5)
          | ~ accessible_world(U,X1)
          | ~ proposition(U,X1)
          | ~ forename(U,X4)
          | ~ jules_forename(U,X4)
          | ~ of(U,X4,X3)
          | ~ man(U,X3)
          | ~ be(U,Z,X3,X3)
          | ~ event(X1,X2)
          | ~ agent(X1,X2,X3)
          | ~ present(X1,X2)
          | ~ smoke(X1,X2)
          | ~ state(U,Z)
          | ~ agent(U,W,Y)
          | ~ man(U,Y)
          | ~ of(U,X,Y)
          | ~ vincent_forename(U,X)
          | ~ forename(U,X)
          | ~ think_believe_consider(U,W)
          | ~ present(U,W)
          | ~ event(U,W)
          | ~ theme(U,W,V)
          | ~ proposition(U,V)
          | ~ accessible_world(U,V) ) )),
    inference(bind,[status(th)],]) ).

tff(94,plain,
    ( ! [W: $i,V: $i,Z: $i,Y: $i,X6: $i,X4: $i,X3: $i,U: $i,X: $i,X2: $i,X7: $i,X5: $i,X1: $i] :
        ( ~ accessible_world(U,V)
        | ~ proposition(U,V)
        | ~ theme(U,W,V)
        | ~ event(U,W)
        | ~ present(U,W)
        | ~ think_believe_consider(U,W)
        | ~ forename(U,X)
        | ~ vincent_forename(U,X)
        | ~ of(U,X,Y)
        | ~ man(U,Y)
        | ~ agent(U,W,Y)
        | ~ state(U,Z)
        | ~ smoke(X1,X2)
        | ~ present(X1,X2)
        | ~ agent(X1,X2,X3)
        | ~ event(X1,X2)
        | ~ be(U,Z,X3,X3)
        | ~ man(U,X3)
        | ~ of(U,X4,X3)
        | ~ jules_forename(U,X4)
        | ~ forename(U,X4)
        | ~ proposition(U,X1)
        | ~ accessible_world(U,X1)
        | ~ think_believe_consider(U,X5)
        | ~ present(U,X5)
        | ~ event(U,X5)
        | ~ theme(U,X5,X1)
        | ~ vincent_forename(U,X6)
        | ~ forename(U,X6)
        | ~ agent(U,X5,X7)
        | ~ man(U,X7)
        | ~ of(U,X6,X7)
        | ~ actual_world(U)
        | man(V,skf4(V)) )
  <=> ! [W: $i,V: $i,Z: $i,Y: $i,X6: $i,X4: $i,X3: $i,U: $i,X: $i,X2: $i,X7: $i,X5: $i,X1: $i] :
        ( man(V,skf4(V))
        | ~ actual_world(U)
        | ~ of(U,X6,X7)
        | ~ man(U,X7)
        | ~ agent(U,X5,X7)
        | ~ forename(U,X6)
        | ~ vincent_forename(U,X6)
        | ~ theme(U,X5,X1)
        | ~ event(U,X5)
        | ~ present(U,X5)
        | ~ think_believe_consider(U,X5)
        | ~ accessible_world(U,X1)
        | ~ proposition(U,X1)
        | ~ forename(U,X4)
        | ~ jules_forename(U,X4)
        | ~ of(U,X4,X3)
        | ~ man(U,X3)
        | ~ be(U,Z,X3,X3)
        | ~ event(X1,X2)
        | ~ agent(X1,X2,X3)
        | ~ present(X1,X2)
        | ~ smoke(X1,X2)
        | ~ state(U,Z)
        | ~ agent(U,W,Y)
        | ~ man(U,Y)
        | ~ of(U,X,Y)
        | ~ vincent_forename(U,X)
        | ~ forename(U,X)
        | ~ think_believe_consider(U,W)
        | ~ present(U,W)
        | ~ event(U,W)
        | ~ theme(U,W,V)
        | ~ proposition(U,V)
        | ~ accessible_world(U,V) ) ),
    inference(quant_intro,[status(thm)],[93]) ).

tff(95,axiom,
    ! [W: $i,V: $i,Z: $i,Y: $i,X6: $i,X4: $i,X3: $i,U: $i,X: $i,X2: $i,X7: $i,X5: $i,X1: $i] :
      ( ~ accessible_world(U,V)
      | ~ proposition(U,V)
      | ~ theme(U,W,V)
      | ~ event(U,W)
      | ~ present(U,W)
      | ~ think_believe_consider(U,W)
      | ~ forename(U,X)
      | ~ vincent_forename(U,X)
      | ~ of(U,X,Y)
      | ~ man(U,Y)
      | ~ agent(U,W,Y)
      | ~ state(U,Z)
      | ~ smoke(X1,X2)
      | ~ present(X1,X2)
      | ~ agent(X1,X2,X3)
      | ~ event(X1,X2)
      | ~ be(U,Z,X3,X3)
      | ~ man(U,X3)
      | ~ of(U,X4,X3)
      | ~ jules_forename(U,X4)
      | ~ forename(U,X4)
      | ~ proposition(U,X1)
      | ~ accessible_world(U,X1)
      | ~ think_believe_consider(U,X5)
      | ~ present(U,X5)
      | ~ event(U,X5)
      | ~ theme(U,X5,X1)
      | ~ vincent_forename(U,X6)
      | ~ forename(U,X6)
      | ~ agent(U,X5,X7)
      | ~ man(U,X7)
      | ~ of(U,X6,X7)
      | ~ actual_world(U)
      | man(V,skf4(V)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause94) ).

tff(96,plain,
    ! [W: $i,V: $i,Z: $i,Y: $i,X6: $i,X4: $i,X3: $i,U: $i,X: $i,X2: $i,X7: $i,X5: $i,X1: $i] :
      ( man(V,skf4(V))
      | ~ actual_world(U)
      | ~ of(U,X6,X7)
      | ~ man(U,X7)
      | ~ agent(U,X5,X7)
      | ~ forename(U,X6)
      | ~ vincent_forename(U,X6)
      | ~ theme(U,X5,X1)
      | ~ event(U,X5)
      | ~ present(U,X5)
      | ~ think_believe_consider(U,X5)
      | ~ accessible_world(U,X1)
      | ~ proposition(U,X1)
      | ~ forename(U,X4)
      | ~ jules_forename(U,X4)
      | ~ of(U,X4,X3)
      | ~ man(U,X3)
      | ~ be(U,Z,X3,X3)
      | ~ event(X1,X2)
      | ~ agent(X1,X2,X3)
      | ~ present(X1,X2)
      | ~ smoke(X1,X2)
      | ~ state(U,Z)
      | ~ agent(U,W,Y)
      | ~ man(U,Y)
      | ~ of(U,X,Y)
      | ~ vincent_forename(U,X)
      | ~ forename(U,X)
      | ~ think_believe_consider(U,W)
      | ~ present(U,W)
      | ~ event(U,W)
      | ~ theme(U,W,V)
      | ~ proposition(U,V)
      | ~ accessible_world(U,V) ),
    inference(modus_ponens,[status(thm)],[95,94]) ).

tff(97,plain,
    ! [W: $i,V: $i,Z: $i,Y: $i,X6: $i,X4: $i,X3: $i,U: $i,X: $i,X2: $i,X7: $i,X5: $i,X1: $i] :
      ( man(V,skf4(V))
      | ~ actual_world(U)
      | ~ of(U,X6,X7)
      | ~ man(U,X7)
      | ~ agent(U,X5,X7)
      | ~ forename(U,X6)
      | ~ vincent_forename(U,X6)
      | ~ theme(U,X5,X1)
      | ~ event(U,X5)
      | ~ present(U,X5)
      | ~ think_believe_consider(U,X5)
      | ~ accessible_world(U,X1)
      | ~ proposition(U,X1)
      | ~ forename(U,X4)
      | ~ jules_forename(U,X4)
      | ~ of(U,X4,X3)
      | ~ man(U,X3)
      | ~ be(U,Z,X3,X3)
      | ~ event(X1,X2)
      | ~ agent(X1,X2,X3)
      | ~ present(X1,X2)
      | ~ smoke(X1,X2)
      | ~ state(U,Z)
      | ~ agent(U,W,Y)
      | ~ man(U,Y)
      | ~ of(U,X,Y)
      | ~ vincent_forename(U,X)
      | ~ forename(U,X)
      | ~ think_believe_consider(U,W)
      | ~ present(U,W)
      | ~ event(U,W)
      | ~ theme(U,W,V)
      | ~ proposition(U,V)
      | ~ accessible_world(U,V) ),
    inference(modus_ponens,[status(thm)],[96,92]) ).

tff(98,plain,
    ! [W: $i,V: $i,Z: $i,Y: $i,X6: $i,X4: $i,X3: $i,U: $i,X: $i,X2: $i,X7: $i,X5: $i,X1: $i] :
      ( man(V,skf4(V))
      | ~ actual_world(U)
      | ~ of(U,X6,X7)
      | ~ man(U,X7)
      | ~ agent(U,X5,X7)
      | ~ forename(U,X6)
      | ~ vincent_forename(U,X6)
      | ~ theme(U,X5,X1)
      | ~ event(U,X5)
      | ~ present(U,X5)
      | ~ think_believe_consider(U,X5)
      | ~ accessible_world(U,X1)
      | ~ proposition(U,X1)
      | ~ forename(U,X4)
      | ~ jules_forename(U,X4)
      | ~ of(U,X4,X3)
      | ~ man(U,X3)
      | ~ be(U,Z,X3,X3)
      | ~ event(X1,X2)
      | ~ agent(X1,X2,X3)
      | ~ present(X1,X2)
      | ~ smoke(X1,X2)
      | ~ state(U,Z)
      | ~ agent(U,W,Y)
      | ~ man(U,Y)
      | ~ of(U,X,Y)
      | ~ vincent_forename(U,X)
      | ~ forename(U,X)
      | ~ think_believe_consider(U,W)
      | ~ present(U,W)
      | ~ event(U,W)
      | ~ theme(U,W,V)
      | ~ proposition(U,V)
      | ~ accessible_world(U,V) ),
    inference(skolemize,[status(sab)],[97]) ).

tff(99,plain,
    ! [W: $i,V: $i,Z: $i,Y: $i,X6: $i,X4: $i,X3: $i,U: $i,X: $i,X2: $i,X7: $i,X5: $i,X1: $i] :
      ( man(V,skf4(V))
      | ~ actual_world(U)
      | ~ of(U,X6,X7)
      | ~ man(U,X7)
      | ~ agent(U,X5,X7)
      | ~ forename(U,X6)
      | ~ vincent_forename(U,X6)
      | ~ theme(U,X5,X1)
      | ~ event(U,X5)
      | ~ present(U,X5)
      | ~ think_believe_consider(U,X5)
      | ~ accessible_world(U,X1)
      | ~ proposition(U,X1)
      | ~ forename(U,X4)
      | ~ jules_forename(U,X4)
      | ~ of(U,X4,X3)
      | ~ man(U,X3)
      | ~ be(U,Z,X3,X3)
      | ~ event(X1,X2)
      | ~ agent(X1,X2,X3)
      | ~ present(X1,X2)
      | ~ smoke(X1,X2)
      | ~ state(U,Z)
      | ~ agent(U,W,Y)
      | ~ man(U,Y)
      | ~ of(U,X,Y)
      | ~ vincent_forename(U,X)
      | ~ forename(U,X)
      | ~ think_believe_consider(U,W)
      | ~ present(U,W)
      | ~ event(U,W)
      | ~ theme(U,W,V)
      | ~ proposition(U,V)
      | ~ accessible_world(U,V) ),
    inference(modus_ponens,[status(thm)],[98,91]) ).

tff(100,plain,
    ( be(skc8,skc9,skc10,skc10)
  <=> be(skc8,skc9,skc10,skc10) ),
    inference(rewrite,[status(thm)],]) ).

tff(101,axiom,
    be(skc8,skc9,skc10,skc10),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause89) ).

tff(102,plain,
    be(skc8,skc9,skc10,skc10),
    inference(modus_ponens,[status(thm)],[101,100]) ).

tff(103,plain,
    ( of(skc8,skc11,skc10)
  <=> of(skc8,skc11,skc10) ),
    inference(rewrite,[status(thm)],]) ).

tff(104,axiom,
    of(skc8,skc11,skc10),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause88) ).

tff(105,plain,
    of(skc8,skc11,skc10),
    inference(modus_ponens,[status(thm)],[104,103]) ).

tff(106,plain,
    ( theme(skc8,skc13,skc12)
  <=> theme(skc8,skc13,skc12) ),
    inference(rewrite,[status(thm)],]) ).

tff(107,axiom,
    theme(skc8,skc13,skc12),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause87) ).

tff(108,plain,
    theme(skc8,skc13,skc12),
    inference(modus_ponens,[status(thm)],[107,106]) ).

tff(109,plain,
    ( agent(skc8,skc13,skc15)
  <=> agent(skc8,skc13,skc15) ),
    inference(rewrite,[status(thm)],]) ).

tff(110,axiom,
    agent(skc8,skc13,skc15),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause86) ).

tff(111,plain,
    agent(skc8,skc13,skc15),
    inference(modus_ponens,[status(thm)],[110,109]) ).

tff(112,plain,
    ( of(skc8,skc14,skc15)
  <=> of(skc8,skc14,skc15) ),
    inference(rewrite,[status(thm)],]) ).

tff(113,axiom,
    of(skc8,skc14,skc15),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause85) ).

tff(114,plain,
    of(skc8,skc14,skc15),
    inference(modus_ponens,[status(thm)],[113,112]) ).

tff(115,plain,
    ( proposition(skc8,skc12)
  <=> proposition(skc8,skc12) ),
    inference(rewrite,[status(thm)],]) ).

tff(116,axiom,
    proposition(skc8,skc12),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause84) ).

tff(117,plain,
    proposition(skc8,skc12),
    inference(modus_ponens,[status(thm)],[116,115]) ).

tff(118,plain,
    ( state(skc8,skc9)
  <=> state(skc8,skc9) ),
    inference(rewrite,[status(thm)],]) ).

tff(119,axiom,
    state(skc8,skc9),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause82) ).

tff(120,plain,
    state(skc8,skc9),
    inference(modus_ponens,[status(thm)],[119,118]) ).

tff(121,plain,
    ( forename(skc8,skc11)
  <=> forename(skc8,skc11) ),
    inference(rewrite,[status(thm)],]) ).

tff(122,axiom,
    forename(skc8,skc11),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause80) ).

tff(123,plain,
    forename(skc8,skc11),
    inference(modus_ponens,[status(thm)],[122,121]) ).

tff(124,plain,
    ( jules_forename(skc8,skc11)
  <=> jules_forename(skc8,skc11) ),
    inference(rewrite,[status(thm)],]) ).

tff(125,axiom,
    jules_forename(skc8,skc11),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause79) ).

tff(126,plain,
    jules_forename(skc8,skc11),
    inference(modus_ponens,[status(thm)],[125,124]) ).

tff(127,plain,
    ( think_believe_consider(skc8,skc13)
  <=> think_believe_consider(skc8,skc13) ),
    inference(rewrite,[status(thm)],]) ).

tff(128,axiom,
    think_believe_consider(skc8,skc13),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause78) ).

tff(129,plain,
    think_believe_consider(skc8,skc13),
    inference(modus_ponens,[status(thm)],[128,127]) ).

tff(130,plain,
    ( present(skc8,skc13)
  <=> present(skc8,skc13) ),
    inference(rewrite,[status(thm)],]) ).

tff(131,axiom,
    present(skc8,skc13),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause77) ).

tff(132,plain,
    present(skc8,skc13),
    inference(modus_ponens,[status(thm)],[131,130]) ).

tff(133,plain,
    ( event(skc8,skc13)
  <=> event(skc8,skc13) ),
    inference(rewrite,[status(thm)],]) ).

tff(134,axiom,
    event(skc8,skc13),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause76) ).

tff(135,plain,
    event(skc8,skc13),
    inference(modus_ponens,[status(thm)],[134,133]) ).

tff(136,plain,
    ( vincent_forename(skc8,skc14)
  <=> vincent_forename(skc8,skc14) ),
    inference(rewrite,[status(thm)],]) ).

tff(137,axiom,
    vincent_forename(skc8,skc14),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause75) ).

tff(138,plain,
    vincent_forename(skc8,skc14),
    inference(modus_ponens,[status(thm)],[137,136]) ).

tff(139,plain,
    ( forename(skc8,skc14)
  <=> forename(skc8,skc14) ),
    inference(rewrite,[status(thm)],]) ).

tff(140,axiom,
    forename(skc8,skc14),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause74) ).

tff(141,plain,
    forename(skc8,skc14),
    inference(modus_ponens,[status(thm)],[140,139]) ).

tff(142,plain,
    ( actual_world(skc8)
  <=> actual_world(skc8) ),
    inference(rewrite,[status(thm)],]) ).

tff(143,axiom,
    actual_world(skc8),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause72) ).

tff(144,plain,
    actual_world(skc8),
    inference(modus_ponens,[status(thm)],[143,142]) ).

tff(145,plain,
    ( ( ~ ! [W: $i,V: $i,Z: $i,Y: $i,X6: $i,X4: $i,X3: $i,U: $i,X: $i,X2: $i,X7: $i,X5: $i,X1: $i] :
            ( man(V,skf4(V))
            | ~ actual_world(U)
            | ~ of(U,X6,X7)
            | ~ man(U,X7)
            | ~ agent(U,X5,X7)
            | ~ forename(U,X6)
            | ~ vincent_forename(U,X6)
            | ~ theme(U,X5,X1)
            | ~ event(U,X5)
            | ~ present(U,X5)
            | ~ think_believe_consider(U,X5)
            | ~ accessible_world(U,X1)
            | ~ proposition(U,X1)
            | ~ forename(U,X4)
            | ~ jules_forename(U,X4)
            | ~ of(U,X4,X3)
            | ~ man(U,X3)
            | ~ be(U,Z,X3,X3)
            | ~ event(X1,X2)
            | ~ agent(X1,X2,X3)
            | ~ present(X1,X2)
            | ~ smoke(X1,X2)
            | ~ state(U,Z)
            | ~ agent(U,W,Y)
            | ~ man(U,Y)
            | ~ of(U,X,Y)
            | ~ vincent_forename(U,X)
            | ~ forename(U,X)
            | ~ think_believe_consider(U,W)
            | ~ present(U,W)
            | ~ event(U,W)
            | ~ theme(U,W,V)
            | ~ proposition(U,V)
            | ~ accessible_world(U,V) )
      | ~ event(skc8,skc13)
      | ~ proposition(skc8,skc12)
      | ~ state(skc8,skc9)
      | ~ man(skc8,skc15)
      | ~ man(skc8,skc10)
      | ~ forename(skc8,skc14)
      | ~ forename(skc8,skc11)
      | ~ accessible_world(skc8,skc12)
      | ~ vincent_forename(skc8,skc14)
      | ~ jules_forename(skc8,skc11)
      | ~ be(skc8,skc9,skc10,skc10)
      | ~ theme(skc8,skc13,skc12)
      | ~ think_believe_consider(skc8,skc13)
      | ~ of(skc8,skc11,skc10)
      | ~ agent(skc8,skc13,skc15)
      | ~ present(skc8,skc13)
      | ~ of(skc8,skc14,skc15)
      | ~ agent(skc12,skf2(skc10),skc10)
      | ~ actual_world(skc8)
      | ~ present(skc12,skf2(skc10))
      | ~ event(skc12,skf2(skc10))
      | ~ smoke(skc12,skf2(skc10))
      | man(skc12,skf4(skc12)) )
  <=> ( ~ ! [W: $i,V: $i,Z: $i,Y: $i,X6: $i,X4: $i,X3: $i,U: $i,X: $i,X2: $i,X7: $i,X5: $i,X1: $i] :
            ( man(V,skf4(V))
            | ~ actual_world(U)
            | ~ of(U,X6,X7)
            | ~ man(U,X7)
            | ~ agent(U,X5,X7)
            | ~ forename(U,X6)
            | ~ vincent_forename(U,X6)
            | ~ theme(U,X5,X1)
            | ~ event(U,X5)
            | ~ present(U,X5)
            | ~ think_believe_consider(U,X5)
            | ~ accessible_world(U,X1)
            | ~ proposition(U,X1)
            | ~ forename(U,X4)
            | ~ jules_forename(U,X4)
            | ~ of(U,X4,X3)
            | ~ man(U,X3)
            | ~ be(U,Z,X3,X3)
            | ~ event(X1,X2)
            | ~ agent(X1,X2,X3)
            | ~ present(X1,X2)
            | ~ smoke(X1,X2)
            | ~ state(U,Z)
            | ~ agent(U,W,Y)
            | ~ man(U,Y)
            | ~ of(U,X,Y)
            | ~ vincent_forename(U,X)
            | ~ forename(U,X)
            | ~ think_believe_consider(U,W)
            | ~ present(U,W)
            | ~ event(U,W)
            | ~ theme(U,W,V)
            | ~ proposition(U,V)
            | ~ accessible_world(U,V) )
      | ~ event(skc8,skc13)
      | ~ proposition(skc8,skc12)
      | ~ state(skc8,skc9)
      | ~ man(skc8,skc15)
      | ~ man(skc8,skc10)
      | ~ forename(skc8,skc14)
      | ~ forename(skc8,skc11)
      | ~ accessible_world(skc8,skc12)
      | ~ vincent_forename(skc8,skc14)
      | ~ jules_forename(skc8,skc11)
      | ~ be(skc8,skc9,skc10,skc10)
      | ~ theme(skc8,skc13,skc12)
      | ~ think_believe_consider(skc8,skc13)
      | ~ of(skc8,skc11,skc10)
      | ~ agent(skc8,skc13,skc15)
      | ~ present(skc8,skc13)
      | ~ of(skc8,skc14,skc15)
      | ~ agent(skc12,skf2(skc10),skc10)
      | ~ actual_world(skc8)
      | ~ present(skc12,skf2(skc10))
      | ~ event(skc12,skf2(skc10))
      | ~ smoke(skc12,skf2(skc10))
      | man(skc12,skf4(skc12)) ) ),
    inference(rewrite,[status(thm)],]) ).

tff(146,plain,
    ( ( man(skc12,skf4(skc12))
      | ~ actual_world(skc8)
      | ~ of(skc8,skc14,skc15)
      | ~ man(skc8,skc15)
      | ~ agent(skc8,skc13,skc15)
      | ~ forename(skc8,skc14)
      | ~ vincent_forename(skc8,skc14)
      | ~ theme(skc8,skc13,skc12)
      | ~ event(skc8,skc13)
      | ~ present(skc8,skc13)
      | ~ think_believe_consider(skc8,skc13)
      | ~ accessible_world(skc8,skc12)
      | ~ proposition(skc8,skc12)
      | ~ forename(skc8,skc11)
      | ~ jules_forename(skc8,skc11)
      | ~ of(skc8,skc11,skc10)
      | ~ man(skc8,skc10)
      | ~ be(skc8,skc9,skc10,skc10)
      | ~ event(skc12,skf2(skc10))
      | ~ agent(skc12,skf2(skc10),skc10)
      | ~ present(skc12,skf2(skc10))
      | ~ smoke(skc12,skf2(skc10))
      | ~ state(skc8,skc9)
      | ~ agent(skc8,skc13,skc15)
      | ~ man(skc8,skc15)
      | ~ of(skc8,skc14,skc15)
      | ~ vincent_forename(skc8,skc14)
      | ~ forename(skc8,skc14)
      | ~ think_believe_consider(skc8,skc13)
      | ~ present(skc8,skc13)
      | ~ event(skc8,skc13)
      | ~ theme(skc8,skc13,skc12)
      | ~ proposition(skc8,skc12)
      | ~ accessible_world(skc8,skc12) )
  <=> ( ~ event(skc8,skc13)
      | ~ proposition(skc8,skc12)
      | ~ state(skc8,skc9)
      | ~ man(skc8,skc15)
      | ~ man(skc8,skc10)
      | ~ forename(skc8,skc14)
      | ~ forename(skc8,skc11)
      | ~ accessible_world(skc8,skc12)
      | ~ vincent_forename(skc8,skc14)
      | ~ jules_forename(skc8,skc11)
      | ~ be(skc8,skc9,skc10,skc10)
      | ~ theme(skc8,skc13,skc12)
      | ~ think_believe_consider(skc8,skc13)
      | ~ of(skc8,skc11,skc10)
      | ~ agent(skc8,skc13,skc15)
      | ~ present(skc8,skc13)
      | ~ of(skc8,skc14,skc15)
      | ~ agent(skc12,skf2(skc10),skc10)
      | ~ actual_world(skc8)
      | ~ present(skc12,skf2(skc10))
      | ~ event(skc12,skf2(skc10))
      | ~ smoke(skc12,skf2(skc10))
      | man(skc12,skf4(skc12)) ) ),
    inference(rewrite,[status(thm)],]) ).

tff(147,plain,
    ( ( ~ ! [W: $i,V: $i,Z: $i,Y: $i,X6: $i,X4: $i,X3: $i,U: $i,X: $i,X2: $i,X7: $i,X5: $i,X1: $i] :
            ( man(V,skf4(V))
            | ~ actual_world(U)
            | ~ of(U,X6,X7)
            | ~ man(U,X7)
            | ~ agent(U,X5,X7)
            | ~ forename(U,X6)
            | ~ vincent_forename(U,X6)
            | ~ theme(U,X5,X1)
            | ~ event(U,X5)
            | ~ present(U,X5)
            | ~ think_believe_consider(U,X5)
            | ~ accessible_world(U,X1)
            | ~ proposition(U,X1)
            | ~ forename(U,X4)
            | ~ jules_forename(U,X4)
            | ~ of(U,X4,X3)
            | ~ man(U,X3)
            | ~ be(U,Z,X3,X3)
            | ~ event(X1,X2)
            | ~ agent(X1,X2,X3)
            | ~ present(X1,X2)
            | ~ smoke(X1,X2)
            | ~ state(U,Z)
            | ~ agent(U,W,Y)
            | ~ man(U,Y)
            | ~ of(U,X,Y)
            | ~ vincent_forename(U,X)
            | ~ forename(U,X)
            | ~ think_believe_consider(U,W)
            | ~ present(U,W)
            | ~ event(U,W)
            | ~ theme(U,W,V)
            | ~ proposition(U,V)
            | ~ accessible_world(U,V) )
      | man(skc12,skf4(skc12))
      | ~ actual_world(skc8)
      | ~ of(skc8,skc14,skc15)
      | ~ man(skc8,skc15)
      | ~ agent(skc8,skc13,skc15)
      | ~ forename(skc8,skc14)
      | ~ vincent_forename(skc8,skc14)
      | ~ theme(skc8,skc13,skc12)
      | ~ event(skc8,skc13)
      | ~ present(skc8,skc13)
      | ~ think_believe_consider(skc8,skc13)
      | ~ accessible_world(skc8,skc12)
      | ~ proposition(skc8,skc12)
      | ~ forename(skc8,skc11)
      | ~ jules_forename(skc8,skc11)
      | ~ of(skc8,skc11,skc10)
      | ~ man(skc8,skc10)
      | ~ be(skc8,skc9,skc10,skc10)
      | ~ event(skc12,skf2(skc10))
      | ~ agent(skc12,skf2(skc10),skc10)
      | ~ present(skc12,skf2(skc10))
      | ~ smoke(skc12,skf2(skc10))
      | ~ state(skc8,skc9)
      | ~ agent(skc8,skc13,skc15)
      | ~ man(skc8,skc15)
      | ~ of(skc8,skc14,skc15)
      | ~ vincent_forename(skc8,skc14)
      | ~ forename(skc8,skc14)
      | ~ think_believe_consider(skc8,skc13)
      | ~ present(skc8,skc13)
      | ~ event(skc8,skc13)
      | ~ theme(skc8,skc13,skc12)
      | ~ proposition(skc8,skc12)
      | ~ accessible_world(skc8,skc12) )
  <=> ( ~ ! [W: $i,V: $i,Z: $i,Y: $i,X6: $i,X4: $i,X3: $i,U: $i,X: $i,X2: $i,X7: $i,X5: $i,X1: $i] :
            ( man(V,skf4(V))
            | ~ actual_world(U)
            | ~ of(U,X6,X7)
            | ~ man(U,X7)
            | ~ agent(U,X5,X7)
            | ~ forename(U,X6)
            | ~ vincent_forename(U,X6)
            | ~ theme(U,X5,X1)
            | ~ event(U,X5)
            | ~ present(U,X5)
            | ~ think_believe_consider(U,X5)
            | ~ accessible_world(U,X1)
            | ~ proposition(U,X1)
            | ~ forename(U,X4)
            | ~ jules_forename(U,X4)
            | ~ of(U,X4,X3)
            | ~ man(U,X3)
            | ~ be(U,Z,X3,X3)
            | ~ event(X1,X2)
            | ~ agent(X1,X2,X3)
            | ~ present(X1,X2)
            | ~ smoke(X1,X2)
            | ~ state(U,Z)
            | ~ agent(U,W,Y)
            | ~ man(U,Y)
            | ~ of(U,X,Y)
            | ~ vincent_forename(U,X)
            | ~ forename(U,X)
            | ~ think_believe_consider(U,W)
            | ~ present(U,W)
            | ~ event(U,W)
            | ~ theme(U,W,V)
            | ~ proposition(U,V)
            | ~ accessible_world(U,V) )
      | ~ event(skc8,skc13)
      | ~ proposition(skc8,skc12)
      | ~ state(skc8,skc9)
      | ~ man(skc8,skc15)
      | ~ man(skc8,skc10)
      | ~ forename(skc8,skc14)
      | ~ forename(skc8,skc11)
      | ~ accessible_world(skc8,skc12)
      | ~ vincent_forename(skc8,skc14)
      | ~ jules_forename(skc8,skc11)
      | ~ be(skc8,skc9,skc10,skc10)
      | ~ theme(skc8,skc13,skc12)
      | ~ think_believe_consider(skc8,skc13)
      | ~ of(skc8,skc11,skc10)
      | ~ agent(skc8,skc13,skc15)
      | ~ present(skc8,skc13)
      | ~ of(skc8,skc14,skc15)
      | ~ agent(skc12,skf2(skc10),skc10)
      | ~ actual_world(skc8)
      | ~ present(skc12,skf2(skc10))
      | ~ event(skc12,skf2(skc10))
      | ~ smoke(skc12,skf2(skc10))
      | man(skc12,skf4(skc12)) ) ),
    inference(monotonicity,[status(thm)],[146]) ).

tff(148,plain,
    ( ( ~ ! [W: $i,V: $i,Z: $i,Y: $i,X6: $i,X4: $i,X3: $i,U: $i,X: $i,X2: $i,X7: $i,X5: $i,X1: $i] :
            ( man(V,skf4(V))
            | ~ actual_world(U)
            | ~ of(U,X6,X7)
            | ~ man(U,X7)
            | ~ agent(U,X5,X7)
            | ~ forename(U,X6)
            | ~ vincent_forename(U,X6)
            | ~ theme(U,X5,X1)
            | ~ event(U,X5)
            | ~ present(U,X5)
            | ~ think_believe_consider(U,X5)
            | ~ accessible_world(U,X1)
            | ~ proposition(U,X1)
            | ~ forename(U,X4)
            | ~ jules_forename(U,X4)
            | ~ of(U,X4,X3)
            | ~ man(U,X3)
            | ~ be(U,Z,X3,X3)
            | ~ event(X1,X2)
            | ~ agent(X1,X2,X3)
            | ~ present(X1,X2)
            | ~ smoke(X1,X2)
            | ~ state(U,Z)
            | ~ agent(U,W,Y)
            | ~ man(U,Y)
            | ~ of(U,X,Y)
            | ~ vincent_forename(U,X)
            | ~ forename(U,X)
            | ~ think_believe_consider(U,W)
            | ~ present(U,W)
            | ~ event(U,W)
            | ~ theme(U,W,V)
            | ~ proposition(U,V)
            | ~ accessible_world(U,V) )
      | man(skc12,skf4(skc12))
      | ~ actual_world(skc8)
      | ~ of(skc8,skc14,skc15)
      | ~ man(skc8,skc15)
      | ~ agent(skc8,skc13,skc15)
      | ~ forename(skc8,skc14)
      | ~ vincent_forename(skc8,skc14)
      | ~ theme(skc8,skc13,skc12)
      | ~ event(skc8,skc13)
      | ~ present(skc8,skc13)
      | ~ think_believe_consider(skc8,skc13)
      | ~ accessible_world(skc8,skc12)
      | ~ proposition(skc8,skc12)
      | ~ forename(skc8,skc11)
      | ~ jules_forename(skc8,skc11)
      | ~ of(skc8,skc11,skc10)
      | ~ man(skc8,skc10)
      | ~ be(skc8,skc9,skc10,skc10)
      | ~ event(skc12,skf2(skc10))
      | ~ agent(skc12,skf2(skc10),skc10)
      | ~ present(skc12,skf2(skc10))
      | ~ smoke(skc12,skf2(skc10))
      | ~ state(skc8,skc9)
      | ~ agent(skc8,skc13,skc15)
      | ~ man(skc8,skc15)
      | ~ of(skc8,skc14,skc15)
      | ~ vincent_forename(skc8,skc14)
      | ~ forename(skc8,skc14)
      | ~ think_believe_consider(skc8,skc13)
      | ~ present(skc8,skc13)
      | ~ event(skc8,skc13)
      | ~ theme(skc8,skc13,skc12)
      | ~ proposition(skc8,skc12)
      | ~ accessible_world(skc8,skc12) )
  <=> ( ~ ! [W: $i,V: $i,Z: $i,Y: $i,X6: $i,X4: $i,X3: $i,U: $i,X: $i,X2: $i,X7: $i,X5: $i,X1: $i] :
            ( man(V,skf4(V))
            | ~ actual_world(U)
            | ~ of(U,X6,X7)
            | ~ man(U,X7)
            | ~ agent(U,X5,X7)
            | ~ forename(U,X6)
            | ~ vincent_forename(U,X6)
            | ~ theme(U,X5,X1)
            | ~ event(U,X5)
            | ~ present(U,X5)
            | ~ think_believe_consider(U,X5)
            | ~ accessible_world(U,X1)
            | ~ proposition(U,X1)
            | ~ forename(U,X4)
            | ~ jules_forename(U,X4)
            | ~ of(U,X4,X3)
            | ~ man(U,X3)
            | ~ be(U,Z,X3,X3)
            | ~ event(X1,X2)
            | ~ agent(X1,X2,X3)
            | ~ present(X1,X2)
            | ~ smoke(X1,X2)
            | ~ state(U,Z)
            | ~ agent(U,W,Y)
            | ~ man(U,Y)
            | ~ of(U,X,Y)
            | ~ vincent_forename(U,X)
            | ~ forename(U,X)
            | ~ think_believe_consider(U,W)
            | ~ present(U,W)
            | ~ event(U,W)
            | ~ theme(U,W,V)
            | ~ proposition(U,V)
            | ~ accessible_world(U,V) )
      | ~ event(skc8,skc13)
      | ~ proposition(skc8,skc12)
      | ~ state(skc8,skc9)
      | ~ man(skc8,skc15)
      | ~ man(skc8,skc10)
      | ~ forename(skc8,skc14)
      | ~ forename(skc8,skc11)
      | ~ accessible_world(skc8,skc12)
      | ~ vincent_forename(skc8,skc14)
      | ~ jules_forename(skc8,skc11)
      | ~ be(skc8,skc9,skc10,skc10)
      | ~ theme(skc8,skc13,skc12)
      | ~ think_believe_consider(skc8,skc13)
      | ~ of(skc8,skc11,skc10)
      | ~ agent(skc8,skc13,skc15)
      | ~ present(skc8,skc13)
      | ~ of(skc8,skc14,skc15)
      | ~ agent(skc12,skf2(skc10),skc10)
      | ~ actual_world(skc8)
      | ~ present(skc12,skf2(skc10))
      | ~ event(skc12,skf2(skc10))
      | ~ smoke(skc12,skf2(skc10))
      | man(skc12,skf4(skc12)) ) ),
    inference(transitivity,[status(thm)],[147,145]) ).

tff(149,plain,
    ( ~ ! [W: $i,V: $i,Z: $i,Y: $i,X6: $i,X4: $i,X3: $i,U: $i,X: $i,X2: $i,X7: $i,X5: $i,X1: $i] :
          ( man(V,skf4(V))
          | ~ actual_world(U)
          | ~ of(U,X6,X7)
          | ~ man(U,X7)
          | ~ agent(U,X5,X7)
          | ~ forename(U,X6)
          | ~ vincent_forename(U,X6)
          | ~ theme(U,X5,X1)
          | ~ event(U,X5)
          | ~ present(U,X5)
          | ~ think_believe_consider(U,X5)
          | ~ accessible_world(U,X1)
          | ~ proposition(U,X1)
          | ~ forename(U,X4)
          | ~ jules_forename(U,X4)
          | ~ of(U,X4,X3)
          | ~ man(U,X3)
          | ~ be(U,Z,X3,X3)
          | ~ event(X1,X2)
          | ~ agent(X1,X2,X3)
          | ~ present(X1,X2)
          | ~ smoke(X1,X2)
          | ~ state(U,Z)
          | ~ agent(U,W,Y)
          | ~ man(U,Y)
          | ~ of(U,X,Y)
          | ~ vincent_forename(U,X)
          | ~ forename(U,X)
          | ~ think_believe_consider(U,W)
          | ~ present(U,W)
          | ~ event(U,W)
          | ~ theme(U,W,V)
          | ~ proposition(U,V)
          | ~ accessible_world(U,V) )
    | man(skc12,skf4(skc12))
    | ~ actual_world(skc8)
    | ~ of(skc8,skc14,skc15)
    | ~ man(skc8,skc15)
    | ~ agent(skc8,skc13,skc15)
    | ~ forename(skc8,skc14)
    | ~ vincent_forename(skc8,skc14)
    | ~ theme(skc8,skc13,skc12)
    | ~ event(skc8,skc13)
    | ~ present(skc8,skc13)
    | ~ think_believe_consider(skc8,skc13)
    | ~ accessible_world(skc8,skc12)
    | ~ proposition(skc8,skc12)
    | ~ forename(skc8,skc11)
    | ~ jules_forename(skc8,skc11)
    | ~ of(skc8,skc11,skc10)
    | ~ man(skc8,skc10)
    | ~ be(skc8,skc9,skc10,skc10)
    | ~ event(skc12,skf2(skc10))
    | ~ agent(skc12,skf2(skc10),skc10)
    | ~ present(skc12,skf2(skc10))
    | ~ smoke(skc12,skf2(skc10))
    | ~ state(skc8,skc9)
    | ~ agent(skc8,skc13,skc15)
    | ~ man(skc8,skc15)
    | ~ of(skc8,skc14,skc15)
    | ~ vincent_forename(skc8,skc14)
    | ~ forename(skc8,skc14)
    | ~ think_believe_consider(skc8,skc13)
    | ~ present(skc8,skc13)
    | ~ event(skc8,skc13)
    | ~ theme(skc8,skc13,skc12)
    | ~ proposition(skc8,skc12)
    | ~ accessible_world(skc8,skc12) ),
    inference(quant_inst,[status(thm)],]) ).

tff(150,plain,
    ( ~ ! [W: $i,V: $i,Z: $i,Y: $i,X6: $i,X4: $i,X3: $i,U: $i,X: $i,X2: $i,X7: $i,X5: $i,X1: $i] :
          ( man(V,skf4(V))
          | ~ actual_world(U)
          | ~ of(U,X6,X7)
          | ~ man(U,X7)
          | ~ agent(U,X5,X7)
          | ~ forename(U,X6)
          | ~ vincent_forename(U,X6)
          | ~ theme(U,X5,X1)
          | ~ event(U,X5)
          | ~ present(U,X5)
          | ~ think_believe_consider(U,X5)
          | ~ accessible_world(U,X1)
          | ~ proposition(U,X1)
          | ~ forename(U,X4)
          | ~ jules_forename(U,X4)
          | ~ of(U,X4,X3)
          | ~ man(U,X3)
          | ~ be(U,Z,X3,X3)
          | ~ event(X1,X2)
          | ~ agent(X1,X2,X3)
          | ~ present(X1,X2)
          | ~ smoke(X1,X2)
          | ~ state(U,Z)
          | ~ agent(U,W,Y)
          | ~ man(U,Y)
          | ~ of(U,X,Y)
          | ~ vincent_forename(U,X)
          | ~ forename(U,X)
          | ~ think_believe_consider(U,W)
          | ~ present(U,W)
          | ~ event(U,W)
          | ~ theme(U,W,V)
          | ~ proposition(U,V)
          | ~ accessible_world(U,V) )
    | ~ event(skc8,skc13)
    | ~ proposition(skc8,skc12)
    | ~ state(skc8,skc9)
    | ~ man(skc8,skc15)
    | ~ man(skc8,skc10)
    | ~ forename(skc8,skc14)
    | ~ forename(skc8,skc11)
    | ~ accessible_world(skc8,skc12)
    | ~ vincent_forename(skc8,skc14)
    | ~ jules_forename(skc8,skc11)
    | ~ be(skc8,skc9,skc10,skc10)
    | ~ theme(skc8,skc13,skc12)
    | ~ think_believe_consider(skc8,skc13)
    | ~ of(skc8,skc11,skc10)
    | ~ agent(skc8,skc13,skc15)
    | ~ present(skc8,skc13)
    | ~ of(skc8,skc14,skc15)
    | ~ agent(skc12,skf2(skc10),skc10)
    | ~ actual_world(skc8)
    | ~ present(skc12,skf2(skc10))
    | ~ event(skc12,skf2(skc10))
    | ~ smoke(skc12,skf2(skc10))
    | man(skc12,skf4(skc12)) ),
    inference(modus_ponens,[status(thm)],[149,148]) ).

tff(151,plain,
    ( ~ present(skc12,skf2(skc10))
    | ~ event(skc12,skf2(skc10))
    | ~ smoke(skc12,skf2(skc10))
    | man(skc12,skf4(skc12)) ),
    inference(unit_resolution,[status(thm)],[150,144,6,141,138,135,132,129,126,123,71,120,3,117,114,111,108,105,102,99,89]) ).

tff(152,plain,
    man(skc12,skf4(skc12)),
    inference(unit_resolution,[status(thm)],[151,68,64,60]) ).

tff(153,plain,
    ( ( ~ ! [U: $i] :
            ( ~ man(skc12,U)
            | agent(skc12,skf2(U),U) )
      | ~ man(skc12,skf4(skc12))
      | agent(skc12,skf2(skf4(skc12)),skf4(skc12)) )
  <=> ( ~ ! [U: $i] :
            ( ~ man(skc12,U)
            | agent(skc12,skf2(U),U) )
      | ~ man(skc12,skf4(skc12))
      | agent(skc12,skf2(skf4(skc12)),skf4(skc12)) ) ),
    inference(rewrite,[status(thm)],]) ).

tff(154,plain,
    ( ~ ! [U: $i] :
          ( ~ man(skc12,U)
          | agent(skc12,skf2(U),U) )
    | ~ man(skc12,skf4(skc12))
    | agent(skc12,skf2(skf4(skc12)),skf4(skc12)) ),
    inference(quant_inst,[status(thm)],]) ).

tff(155,plain,
    ( ~ ! [U: $i] :
          ( ~ man(skc12,U)
          | agent(skc12,skf2(U),U) )
    | ~ man(skc12,skf4(skc12))
    | agent(skc12,skf2(skf4(skc12)),skf4(skc12)) ),
    inference(modus_ponens,[status(thm)],[154,153]) ).

tff(156,plain,
    agent(skc12,skf2(skf4(skc12)),skf4(skc12)),
    inference(unit_resolution,[status(thm)],[155,85,152]) ).

tff(157,plain,
    ^ [W: $i,V: $i,Z: $i,Y: $i,X6: $i,X4: $i,X3: $i,U: $i,X: $i,X2: $i,X7: $i,X5: $i,X8: $i,X1: $i] :
      refl(
        ( ( ~ actual_world(W)
          | ~ of(W,X7,X8)
          | ~ man(W,X8)
          | ~ agent(W,X6,X8)
          | ~ forename(W,X7)
          | ~ vincent_forename(W,X7)
          | ~ theme(W,X6,X2)
          | ~ event(W,X6)
          | ~ present(W,X6)
          | ~ think_believe_consider(W,X6)
          | ~ accessible_world(W,X2)
          | ~ proposition(W,X2)
          | ~ forename(W,X5)
          | ~ jules_forename(W,X5)
          | ~ of(W,X5,X4)
          | ~ man(W,X4)
          | ~ be(W,X1,X4,X4)
          | ~ event(X2,X3)
          | ~ agent(X2,X3,X4)
          | ~ present(X2,X3)
          | ~ smoke(X2,X3)
          | ~ state(W,X1)
          | ~ agent(W,X,Z)
          | ~ man(W,Z)
          | ~ of(W,Y,Z)
          | ~ vincent_forename(W,Y)
          | ~ forename(W,Y)
          | ~ think_believe_consider(W,X)
          | ~ present(W,X)
          | ~ event(W,X)
          | ~ theme(W,X,U)
          | ~ proposition(W,U)
          | ~ accessible_world(W,U)
          | ~ event(U,V)
          | ~ agent(U,V,skf4(U))
          | ~ present(U,V)
          | ~ smoke(U,V) )
      <=> ( ~ actual_world(W)
          | ~ of(W,X7,X8)
          | ~ man(W,X8)
          | ~ agent(W,X6,X8)
          | ~ forename(W,X7)
          | ~ vincent_forename(W,X7)
          | ~ theme(W,X6,X2)
          | ~ event(W,X6)
          | ~ present(W,X6)
          | ~ think_believe_consider(W,X6)
          | ~ accessible_world(W,X2)
          | ~ proposition(W,X2)
          | ~ forename(W,X5)
          | ~ jules_forename(W,X5)
          | ~ of(W,X5,X4)
          | ~ man(W,X4)
          | ~ be(W,X1,X4,X4)
          | ~ event(X2,X3)
          | ~ agent(X2,X3,X4)
          | ~ present(X2,X3)
          | ~ smoke(X2,X3)
          | ~ state(W,X1)
          | ~ agent(W,X,Z)
          | ~ man(W,Z)
          | ~ of(W,Y,Z)
          | ~ vincent_forename(W,Y)
          | ~ forename(W,Y)
          | ~ think_believe_consider(W,X)
          | ~ present(W,X)
          | ~ event(W,X)
          | ~ theme(W,X,U)
          | ~ proposition(W,U)
          | ~ accessible_world(W,U)
          | ~ event(U,V)
          | ~ agent(U,V,skf4(U))
          | ~ present(U,V)
          | ~ smoke(U,V) ) )),
    inference(bind,[status(th)],]) ).

tff(158,plain,
    ( ! [W: $i,V: $i,Z: $i,Y: $i,X6: $i,X4: $i,X3: $i,U: $i,X: $i,X2: $i,X7: $i,X5: $i,X8: $i,X1: $i] :
        ( ~ actual_world(W)
        | ~ of(W,X7,X8)
        | ~ man(W,X8)
        | ~ agent(W,X6,X8)
        | ~ forename(W,X7)
        | ~ vincent_forename(W,X7)
        | ~ theme(W,X6,X2)
        | ~ event(W,X6)
        | ~ present(W,X6)
        | ~ think_believe_consider(W,X6)
        | ~ accessible_world(W,X2)
        | ~ proposition(W,X2)
        | ~ forename(W,X5)
        | ~ jules_forename(W,X5)
        | ~ of(W,X5,X4)
        | ~ man(W,X4)
        | ~ be(W,X1,X4,X4)
        | ~ event(X2,X3)
        | ~ agent(X2,X3,X4)
        | ~ present(X2,X3)
        | ~ smoke(X2,X3)
        | ~ state(W,X1)
        | ~ agent(W,X,Z)
        | ~ man(W,Z)
        | ~ of(W,Y,Z)
        | ~ vincent_forename(W,Y)
        | ~ forename(W,Y)
        | ~ think_believe_consider(W,X)
        | ~ present(W,X)
        | ~ event(W,X)
        | ~ theme(W,X,U)
        | ~ proposition(W,U)
        | ~ accessible_world(W,U)
        | ~ event(U,V)
        | ~ agent(U,V,skf4(U))
        | ~ present(U,V)
        | ~ smoke(U,V) )
  <=> ! [W: $i,V: $i,Z: $i,Y: $i,X6: $i,X4: $i,X3: $i,U: $i,X: $i,X2: $i,X7: $i,X5: $i,X8: $i,X1: $i] :
        ( ~ actual_world(W)
        | ~ of(W,X7,X8)
        | ~ man(W,X8)
        | ~ agent(W,X6,X8)
        | ~ forename(W,X7)
        | ~ vincent_forename(W,X7)
        | ~ theme(W,X6,X2)
        | ~ event(W,X6)
        | ~ present(W,X6)
        | ~ think_believe_consider(W,X6)
        | ~ accessible_world(W,X2)
        | ~ proposition(W,X2)
        | ~ forename(W,X5)
        | ~ jules_forename(W,X5)
        | ~ of(W,X5,X4)
        | ~ man(W,X4)
        | ~ be(W,X1,X4,X4)
        | ~ event(X2,X3)
        | ~ agent(X2,X3,X4)
        | ~ present(X2,X3)
        | ~ smoke(X2,X3)
        | ~ state(W,X1)
        | ~ agent(W,X,Z)
        | ~ man(W,Z)
        | ~ of(W,Y,Z)
        | ~ vincent_forename(W,Y)
        | ~ forename(W,Y)
        | ~ think_believe_consider(W,X)
        | ~ present(W,X)
        | ~ event(W,X)
        | ~ theme(W,X,U)
        | ~ proposition(W,U)
        | ~ accessible_world(W,U)
        | ~ event(U,V)
        | ~ agent(U,V,skf4(U))
        | ~ present(U,V)
        | ~ smoke(U,V) ) ),
    inference(quant_intro,[status(thm)],[157]) ).

tff(159,plain,
    ( ! [W: $i,V: $i,Z: $i,Y: $i,X6: $i,X4: $i,X3: $i,U: $i,X: $i,X2: $i,X7: $i,X5: $i,X8: $i,X1: $i] :
        ( ~ actual_world(W)
        | ~ of(W,X7,X8)
        | ~ man(W,X8)
        | ~ agent(W,X6,X8)
        | ~ forename(W,X7)
        | ~ vincent_forename(W,X7)
        | ~ theme(W,X6,X2)
        | ~ event(W,X6)
        | ~ present(W,X6)
        | ~ think_believe_consider(W,X6)
        | ~ accessible_world(W,X2)
        | ~ proposition(W,X2)
        | ~ forename(W,X5)
        | ~ jules_forename(W,X5)
        | ~ of(W,X5,X4)
        | ~ man(W,X4)
        | ~ be(W,X1,X4,X4)
        | ~ event(X2,X3)
        | ~ agent(X2,X3,X4)
        | ~ present(X2,X3)
        | ~ smoke(X2,X3)
        | ~ state(W,X1)
        | ~ agent(W,X,Z)
        | ~ man(W,Z)
        | ~ of(W,Y,Z)
        | ~ vincent_forename(W,Y)
        | ~ forename(W,Y)
        | ~ think_believe_consider(W,X)
        | ~ present(W,X)
        | ~ event(W,X)
        | ~ theme(W,X,U)
        | ~ proposition(W,U)
        | ~ accessible_world(W,U)
        | ~ event(U,V)
        | ~ agent(U,V,skf4(U))
        | ~ present(U,V)
        | ~ smoke(U,V) )
  <=> ! [W: $i,V: $i,Z: $i,Y: $i,X6: $i,X4: $i,X3: $i,U: $i,X: $i,X2: $i,X7: $i,X5: $i,X8: $i,X1: $i] :
        ( ~ actual_world(W)
        | ~ of(W,X7,X8)
        | ~ man(W,X8)
        | ~ agent(W,X6,X8)
        | ~ forename(W,X7)
        | ~ vincent_forename(W,X7)
        | ~ theme(W,X6,X2)
        | ~ event(W,X6)
        | ~ present(W,X6)
        | ~ think_believe_consider(W,X6)
        | ~ accessible_world(W,X2)
        | ~ proposition(W,X2)
        | ~ forename(W,X5)
        | ~ jules_forename(W,X5)
        | ~ of(W,X5,X4)
        | ~ man(W,X4)
        | ~ be(W,X1,X4,X4)
        | ~ event(X2,X3)
        | ~ agent(X2,X3,X4)
        | ~ present(X2,X3)
        | ~ smoke(X2,X3)
        | ~ state(W,X1)
        | ~ agent(W,X,Z)
        | ~ man(W,Z)
        | ~ of(W,Y,Z)
        | ~ vincent_forename(W,Y)
        | ~ forename(W,Y)
        | ~ think_believe_consider(W,X)
        | ~ present(W,X)
        | ~ event(W,X)
        | ~ theme(W,X,U)
        | ~ proposition(W,U)
        | ~ accessible_world(W,U)
        | ~ event(U,V)
        | ~ agent(U,V,skf4(U))
        | ~ present(U,V)
        | ~ smoke(U,V) ) ),
    inference(rewrite,[status(thm)],]) ).

tff(160,plain,
    ^ [W: $i,V: $i,Z: $i,Y: $i,X6: $i,X4: $i,X3: $i,U: $i,X: $i,X2: $i,X7: $i,X5: $i,X8: $i,X1: $i] :
      trans(
        monotonicity(
          trans(
            monotonicity(
              trans(
                monotonicity(
                  trans(
                    monotonicity(
                      trans(
                        monotonicity(
                          trans(
                            monotonicity(
                              trans(
                                monotonicity(
                                  trans(
                                    monotonicity(
                                      trans(
                                        monotonicity(
                                          trans(
                                            monotonicity(
                                              trans(
                                                monotonicity(
                                                  trans(
                                                    monotonicity(
                                                      trans(
                                                        monotonicity(
                                                          trans(
                                                            monotonicity(
                                                              trans(
                                                                monotonicity(
                                                                  trans(
                                                                    monotonicity(
                                                                      trans(
                                                                        monotonicity(
                                                                          trans(
                                                                            monotonicity(
                                                                              trans(
                                                                                monotonicity(
                                                                                  trans(
                                                                                    monotonicity(
                                                                                      trans(
                                                                                        monotonicity(
                                                                                          trans(
                                                                                            monotonicity(
                                                                                              trans(
                                                                                                monotonicity(
                                                                                                  trans(
                                                                                                    monotonicity(
                                                                                                      trans(
                                                                                                        monotonicity(
                                                                                                          trans(
                                                                                                            monotonicity(
                                                                                                              trans(
                                                                                                                monotonicity(
                                                                                                                  trans(
                                                                                                                    monotonicity(
                                                                                                                      trans(
                                                                                                                        monotonicity(
                                                                                                                          trans(
                                                                                                                            monotonicity(
                                                                                                                              trans(
                                                                                                                                monotonicity(
                                                                                                                                  trans(
                                                                                                                                    monotonicity(
                                                                                                                                      trans(
                                                                                                                                        monotonicity(
                                                                                                                                          trans(
                                                                                                                                            monotonicity(
                                                                                                                                              trans(
                                                                                                                                                monotonicity(
                                                                                                                                                  rewrite(
                                                                                                                                                    ( ( ~ smoke(U,V)
                                                                                                                                                      | ~ present(U,V) )
                                                                                                                                                  <=> ( ~ present(U,V)
                                                                                                                                                      | ~ smoke(U,V) ) )),
                                                                                                                                                  ( ( ~ smoke(U,V)
                                                                                                                                                    | ~ present(U,V)
                                                                                                                                                    | ~ agent(U,V,skf4(U)) )
                                                                                                                                                <=> ( ~ present(U,V)
                                                                                                                                                    | ~ smoke(U,V)
                                                                                                                                                    | ~ agent(U,V,skf4(U)) ) )),
                                                                                                                                                rewrite(
                                                                                                                                                  ( ( ~ present(U,V)
                                                                                                                                                    | ~ smoke(U,V)
                                                                                                                                                    | ~ agent(U,V,skf4(U)) )
                                                                                                                                                <=> ( ~ agent(U,V,skf4(U))
                                                                                                                                                    | ~ present(U,V)
                                                                                                                                                    | ~ smoke(U,V) ) )),
                                                                                                                                                ( ( ~ smoke(U,V)
                                                                                                                                                  | ~ present(U,V)
                                                                                                                                                  | ~ agent(U,V,skf4(U)) )
                                                                                                                                              <=> ( ~ agent(U,V,skf4(U))
                                                                                                                                                  | ~ present(U,V)
                                                                                                                                                  | ~ smoke(U,V) ) )),
                                                                                                                                              ( ( ~ smoke(U,V)
                                                                                                                                                | ~ present(U,V)
                                                                                                                                                | ~ agent(U,V,skf4(U))
                                                                                                                                                | ~ event(U,V) )
                                                                                                                                            <=> ( ~ agent(U,V,skf4(U))
                                                                                                                                                | ~ present(U,V)
                                                                                                                                                | ~ smoke(U,V)
                                                                                                                                                | ~ event(U,V) ) )),
                                                                                                                                            rewrite(
                                                                                                                                              ( ( ~ agent(U,V,skf4(U))
                                                                                                                                                | ~ present(U,V)
                                                                                                                                                | ~ smoke(U,V)
                                                                                                                                                | ~ event(U,V) )
                                                                                                                                            <=> ( ~ event(U,V)
                                                                                                                                                | ~ agent(U,V,skf4(U))
                                                                                                                                                | ~ present(U,V)
                                                                                                                                                | ~ smoke(U,V) ) )),
                                                                                                                                            ( ( ~ smoke(U,V)
                                                                                                                                              | ~ present(U,V)
                                                                                                                                              | ~ agent(U,V,skf4(U))
                                                                                                                                              | ~ event(U,V) )
                                                                                                                                          <=> ( ~ event(U,V)
                                                                                                                                              | ~ agent(U,V,skf4(U))
                                                                                                                                              | ~ present(U,V)
                                                                                                                                              | ~ smoke(U,V) ) )),
                                                                                                                                          ( ( ~ smoke(U,V)
                                                                                                                                            | ~ present(U,V)
                                                                                                                                            | ~ agent(U,V,skf4(U))
                                                                                                                                            | ~ event(U,V)
                                                                                                                                            | ~ accessible_world(W,U) )
                                                                                                                                        <=> ( ~ event(U,V)
                                                                                                                                            | ~ agent(U,V,skf4(U))
                                                                                                                                            | ~ present(U,V)
                                                                                                                                            | ~ smoke(U,V)
                                                                                                                                            | ~ accessible_world(W,U) ) )),
                                                                                                                                        rewrite(
                                                                                                                                          ( ( ~ event(U,V)
                                                                                                                                            | ~ agent(U,V,skf4(U))
                                                                                                                                            | ~ present(U,V)
                                                                                                                                            | ~ smoke(U,V)
                                                                                                                                            | ~ accessible_world(W,U) )
                                                                                                                                        <=> ( ~ accessible_world(W,U)
                                                                                                                                            | ~ event(U,V)
                                                                                                                                            | ~ agent(U,V,skf4(U))
                                                                                                                                            | ~ present(U,V)
                                                                                                                                            | ~ smoke(U,V) ) )),
                                                                                                                                        ( ( ~ smoke(U,V)
                                                                                                                                          | ~ present(U,V)
                                                                                                                                          | ~ agent(U,V,skf4(U))
                                                                                                                                          | ~ event(U,V)
                                                                                                                                          | ~ accessible_world(W,U) )
                                                                                                                                      <=> ( ~ accessible_world(W,U)
                                                                                                                                          | ~ event(U,V)
                                                                                                                                          | ~ agent(U,V,skf4(U))
                                                                                                                                          | ~ present(U,V)
                                                                                                                                          | ~ smoke(U,V) ) )),
                                                                                                                                      ( ( ~ smoke(U,V)
                                                                                                                                        | ~ present(U,V)
                                                                                                                                        | ~ agent(U,V,skf4(U))
                                                                                                                                        | ~ event(U,V)
                                                                                                                                        | ~ accessible_world(W,U)
                                                                                                                                        | ~ proposition(W,U) )
                                                                                                                                    <=> ( ~ accessible_world(W,U)
                                                                                                                                        | ~ event(U,V)
                                                                                                                                        | ~ agent(U,V,skf4(U))
                                                                                                                                        | ~ present(U,V)
                                                                                                                                        | ~ smoke(U,V)
                                                                                                                                        | ~ proposition(W,U) ) )),
                                                                                                                                    rewrite(
                                                                                                                                      ( ( ~ accessible_world(W,U)
                                                                                                                                        | ~ event(U,V)
                                                                                                                                        | ~ agent(U,V,skf4(U))
                                                                                                                                        | ~ present(U,V)
                                                                                                                                        | ~ smoke(U,V)
                                                                                                                                        | ~ proposition(W,U) )
                                                                                                                                    <=> ( ~ proposition(W,U)
                                                                                                                                        | ~ accessible_world(W,U)
                                                                                                                                        | ~ event(U,V)
                                                                                                                                        | ~ agent(U,V,skf4(U))
                                                                                                                                        | ~ present(U,V)
                                                                                                                                        | ~ smoke(U,V) ) )),
                                                                                                                                    ( ( ~ smoke(U,V)
                                                                                                                                      | ~ present(U,V)
                                                                                                                                      | ~ agent(U,V,skf4(U))
                                                                                                                                      | ~ event(U,V)
                                                                                                                                      | ~ accessible_world(W,U)
                                                                                                                                      | ~ proposition(W,U) )
                                                                                                                                  <=> ( ~ proposition(W,U)
                                                                                                                                      | ~ accessible_world(W,U)
                                                                                                                                      | ~ event(U,V)
                                                                                                                                      | ~ agent(U,V,skf4(U))
                                                                                                                                      | ~ present(U,V)
                                                                                                                                      | ~ smoke(U,V) ) )),
                                                                                                                                  ( ( ~ smoke(U,V)
                                                                                                                                    | ~ present(U,V)
                                                                                                                                    | ~ agent(U,V,skf4(U))
                                                                                                                                    | ~ event(U,V)
                                                                                                                                    | ~ accessible_world(W,U)
                                                                                                                                    | ~ proposition(W,U)
                                                                                                                                    | ~ theme(W,X,U) )
                                                                                                                                <=> ( ~ proposition(W,U)
                                                                                                                                    | ~ accessible_world(W,U)
                                                                                                                                    | ~ event(U,V)
                                                                                                                                    | ~ agent(U,V,skf4(U))
                                                                                                                                    | ~ present(U,V)
                                                                                                                                    | ~ smoke(U,V)
                                                                                                                                    | ~ theme(W,X,U) ) )),
                                                                                                                                rewrite(
                                                                                                                                  ( ( ~ proposition(W,U)
                                                                                                                                    | ~ accessible_world(W,U)
                                                                                                                                    | ~ event(U,V)
                                                                                                                                    | ~ agent(U,V,skf4(U))
                                                                                                                                    | ~ present(U,V)
                                                                                                                                    | ~ smoke(U,V)
                                                                                                                                    | ~ theme(W,X,U) )
                                                                                                                                <=> ( ~ theme(W,X,U)
                                                                                                                                    | ~ proposition(W,U)
                                                                                                                                    | ~ accessible_world(W,U)
                                                                                                                                    | ~ event(U,V)
                                                                                                                                    | ~ agent(U,V,skf4(U))
                                                                                                                                    | ~ present(U,V)
                                                                                                                                    | ~ smoke(U,V) ) )),
                                                                                                                                ( ( ~ smoke(U,V)
                                                                                                                                  | ~ present(U,V)
                                                                                                                                  | ~ agent(U,V,skf4(U))
                                                                                                                                  | ~ event(U,V)
                                                                                                                                  | ~ accessible_world(W,U)
                                                                                                                                  | ~ proposition(W,U)
                                                                                                                                  | ~ theme(W,X,U) )
                                                                                                                              <=> ( ~ theme(W,X,U)
                                                                                                                                  | ~ proposition(W,U)
                                                                                                                                  | ~ accessible_world(W,U)
                                                                                                                                  | ~ event(U,V)
                                                                                                                                  | ~ agent(U,V,skf4(U))
                                                                                                                                  | ~ present(U,V)
                                                                                                                                  | ~ smoke(U,V) ) )),
                                                                                                                              ( ( ~ smoke(U,V)
                                                                                                                                | ~ present(U,V)
                                                                                                                                | ~ agent(U,V,skf4(U))
                                                                                                                                | ~ event(U,V)
                                                                                                                                | ~ accessible_world(W,U)
                                                                                                                                | ~ proposition(W,U)
                                                                                                                                | ~ theme(W,X,U)
                                                                                                                                | ~ event(W,X) )
                                                                                                                            <=> ( ~ theme(W,X,U)
                                                                                                                                | ~ proposition(W,U)
                                                                                                                                | ~ accessible_world(W,U)
                                                                                                                                | ~ event(U,V)
                                                                                                                                | ~ agent(U,V,skf4(U))
                                                                                                                                | ~ present(U,V)
                                                                                                                                | ~ smoke(U,V)
                                                                                                                                | ~ event(W,X) ) )),
                                                                                                                            rewrite(
                                                                                                                              ( ( ~ theme(W,X,U)
                                                                                                                                | ~ proposition(W,U)
                                                                                                                                | ~ accessible_world(W,U)
                                                                                                                                | ~ event(U,V)
                                                                                                                                | ~ agent(U,V,skf4(U))
                                                                                                                                | ~ present(U,V)
                                                                                                                                | ~ smoke(U,V)
                                                                                                                                | ~ event(W,X) )
                                                                                                                            <=> ( ~ event(W,X)
                                                                                                                                | ~ theme(W,X,U)
                                                                                                                                | ~ proposition(W,U)
                                                                                                                                | ~ accessible_world(W,U)
                                                                                                                                | ~ event(U,V)
                                                                                                                                | ~ agent(U,V,skf4(U))
                                                                                                                                | ~ present(U,V)
                                                                                                                                | ~ smoke(U,V) ) )),
                                                                                                                            ( ( ~ smoke(U,V)
                                                                                                                              | ~ present(U,V)
                                                                                                                              | ~ agent(U,V,skf4(U))
                                                                                                                              | ~ event(U,V)
                                                                                                                              | ~ accessible_world(W,U)
                                                                                                                              | ~ proposition(W,U)
                                                                                                                              | ~ theme(W,X,U)
                                                                                                                              | ~ event(W,X) )
                                                                                                                          <=> ( ~ event(W,X)
                                                                                                                              | ~ theme(W,X,U)
                                                                                                                              | ~ proposition(W,U)
                                                                                                                              | ~ accessible_world(W,U)
                                                                                                                              | ~ event(U,V)
                                                                                                                              | ~ agent(U,V,skf4(U))
                                                                                                                              | ~ present(U,V)
                                                                                                                              | ~ smoke(U,V) ) )),
                                                                                                                          ( ( ~ smoke(U,V)
                                                                                                                            | ~ present(U,V)
                                                                                                                            | ~ agent(U,V,skf4(U))
                                                                                                                            | ~ event(U,V)
                                                                                                                            | ~ accessible_world(W,U)
                                                                                                                            | ~ proposition(W,U)
                                                                                                                            | ~ theme(W,X,U)
                                                                                                                            | ~ event(W,X)
                                                                                                                            | ~ present(W,X) )
                                                                                                                        <=> ( ~ event(W,X)
                                                                                                                            | ~ theme(W,X,U)
                                                                                                                            | ~ proposition(W,U)
                                                                                                                            | ~ accessible_world(W,U)
                                                                                                                            | ~ event(U,V)
                                                                                                                            | ~ agent(U,V,skf4(U))
                                                                                                                            | ~ present(U,V)
                                                                                                                            | ~ smoke(U,V)
                                                                                                                            | ~ present(W,X) ) )),
                                                                                                                        rewrite(
                                                                                                                          ( ( ~ event(W,X)
                                                                                                                            | ~ theme(W,X,U)
                                                                                                                            | ~ proposition(W,U)
                                                                                                                            | ~ accessible_world(W,U)
                                                                                                                            | ~ event(U,V)
                                                                                                                            | ~ agent(U,V,skf4(U))
                                                                                                                            | ~ present(U,V)
                                                                                                                            | ~ smoke(U,V)
                                                                                                                            | ~ present(W,X) )
                                                                                                                        <=> ( ~ present(W,X)
                                                                                                                            | ~ event(W,X)
                                                                                                                            | ~ theme(W,X,U)
                                                                                                                            | ~ proposition(W,U)
                                                                                                                            | ~ accessible_world(W,U)
                                                                                                                            | ~ event(U,V)
                                                                                                                            | ~ agent(U,V,skf4(U))
                                                                                                                            | ~ present(U,V)
                                                                                                                            | ~ smoke(U,V) ) )),
                                                                                                                        ( ( ~ smoke(U,V)
                                                                                                                          | ~ present(U,V)
                                                                                                                          | ~ agent(U,V,skf4(U))
                                                                                                                          | ~ event(U,V)
                                                                                                                          | ~ accessible_world(W,U)
                                                                                                                          | ~ proposition(W,U)
                                                                                                                          | ~ theme(W,X,U)
                                                                                                                          | ~ event(W,X)
                                                                                                                          | ~ present(W,X) )
                                                                                                                      <=> ( ~ present(W,X)
                                                                                                                          | ~ event(W,X)
                                                                                                                          | ~ theme(W,X,U)
                                                                                                                          | ~ proposition(W,U)
                                                                                                                          | ~ accessible_world(W,U)
                                                                                                                          | ~ event(U,V)
                                                                                                                          | ~ agent(U,V,skf4(U))
                                                                                                                          | ~ present(U,V)
                                                                                                                          | ~ smoke(U,V) ) )),
                                                                                                                      ( ( ~ smoke(U,V)
                                                                                                                        | ~ present(U,V)
                                                                                                                        | ~ agent(U,V,skf4(U))
                                                                                                                        | ~ event(U,V)
                                                                                                                        | ~ accessible_world(W,U)
                                                                                                                        | ~ proposition(W,U)
                                                                                                                        | ~ theme(W,X,U)
                                                                                                                        | ~ event(W,X)
                                                                                                                        | ~ present(W,X)
                                                                                                                        | ~ think_believe_consider(W,X) )
                                                                                                                    <=> ( ~ present(W,X)
                                                                                                                        | ~ event(W,X)
                                                                                                                        | ~ theme(W,X,U)
                                                                                                                        | ~ proposition(W,U)
                                                                                                                        | ~ accessible_world(W,U)
                                                                                                                        | ~ event(U,V)
                                                                                                                        | ~ agent(U,V,skf4(U))
                                                                                                                        | ~ present(U,V)
                                                                                                                        | ~ smoke(U,V)
                                                                                                                        | ~ think_believe_consider(W,X) ) )),
                                                                                                                    rewrite(
                                                                                                                      ( ( ~ present(W,X)
                                                                                                                        | ~ event(W,X)
                                                                                                                        | ~ theme(W,X,U)
                                                                                                                        | ~ proposition(W,U)
                                                                                                                        | ~ accessible_world(W,U)
                                                                                                                        | ~ event(U,V)
                                                                                                                        | ~ agent(U,V,skf4(U))
                                                                                                                        | ~ present(U,V)
                                                                                                                        | ~ smoke(U,V)
                                                                                                                        | ~ think_believe_consider(W,X) )
                                                                                                                    <=> ( ~ think_believe_consider(W,X)
                                                                                                                        | ~ present(W,X)
                                                                                                                        | ~ event(W,X)
                                                                                                                        | ~ theme(W,X,U)
                                                                                                                        | ~ proposition(W,U)
                                                                                                                        | ~ accessible_world(W,U)
                                                                                                                        | ~ event(U,V)
                                                                                                                        | ~ agent(U,V,skf4(U))
                                                                                                                        | ~ present(U,V)
                                                                                                                        | ~ smoke(U,V) ) )),
                                                                                                                    ( ( ~ smoke(U,V)
                                                                                                                      | ~ present(U,V)
                                                                                                                      | ~ agent(U,V,skf4(U))
                                                                                                                      | ~ event(U,V)
                                                                                                                      | ~ accessible_world(W,U)
                                                                                                                      | ~ proposition(W,U)
                                                                                                                      | ~ theme(W,X,U)
                                                                                                                      | ~ event(W,X)
                                                                                                                      | ~ present(W,X)
                                                                                                                      | ~ think_believe_consider(W,X) )
                                                                                                                  <=> ( ~ think_believe_consider(W,X)
                                                                                                                      | ~ present(W,X)
                                                                                                                      | ~ event(W,X)
                                                                                                                      | ~ theme(W,X,U)
                                                                                                                      | ~ proposition(W,U)
                                                                                                                      | ~ accessible_world(W,U)
                                                                                                                      | ~ event(U,V)
                                                                                                                      | ~ agent(U,V,skf4(U))
                                                                                                                      | ~ present(U,V)
                                                                                                                      | ~ smoke(U,V) ) )),
                                                                                                                  ( ( ~ smoke(U,V)
                                                                                                                    | ~ present(U,V)
                                                                                                                    | ~ agent(U,V,skf4(U))
                                                                                                                    | ~ event(U,V)
                                                                                                                    | ~ accessible_world(W,U)
                                                                                                                    | ~ proposition(W,U)
                                                                                                                    | ~ theme(W,X,U)
                                                                                                                    | ~ event(W,X)
                                                                                                                    | ~ present(W,X)
                                                                                                                    | ~ think_believe_consider(W,X)
                                                                                                                    | ~ forename(W,Y) )
                                                                                                                <=> ( ~ think_believe_consider(W,X)
                                                                                                                    | ~ present(W,X)
                                                                                                                    | ~ event(W,X)
                                                                                                                    | ~ theme(W,X,U)
                                                                                                                    | ~ proposition(W,U)
                                                                                                                    | ~ accessible_world(W,U)
                                                                                                                    | ~ event(U,V)
                                                                                                                    | ~ agent(U,V,skf4(U))
                                                                                                                    | ~ present(U,V)
                                                                                                                    | ~ smoke(U,V)
                                                                                                                    | ~ forename(W,Y) ) )),
                                                                                                                rewrite(
                                                                                                                  ( ( ~ think_believe_consider(W,X)
                                                                                                                    | ~ present(W,X)
                                                                                                                    | ~ event(W,X)
                                                                                                                    | ~ theme(W,X,U)
                                                                                                                    | ~ proposition(W,U)
                                                                                                                    | ~ accessible_world(W,U)
                                                                                                                    | ~ event(U,V)
                                                                                                                    | ~ agent(U,V,skf4(U))
                                                                                                                    | ~ present(U,V)
                                                                                                                    | ~ smoke(U,V)
                                                                                                                    | ~ forename(W,Y) )
                                                                                                                <=> ( ~ forename(W,Y)
                                                                                                                    | ~ think_believe_consider(W,X)
                                                                                                                    | ~ present(W,X)
                                                                                                                    | ~ event(W,X)
                                                                                                                    | ~ theme(W,X,U)
                                                                                                                    | ~ proposition(W,U)
                                                                                                                    | ~ accessible_world(W,U)
                                                                                                                    | ~ event(U,V)
                                                                                                                    | ~ agent(U,V,skf4(U))
                                                                                                                    | ~ present(U,V)
                                                                                                                    | ~ smoke(U,V) ) )),
                                                                                                                ( ( ~ smoke(U,V)
                                                                                                                  | ~ present(U,V)
                                                                                                                  | ~ agent(U,V,skf4(U))
                                                                                                                  | ~ event(U,V)
                                                                                                                  | ~ accessible_world(W,U)
                                                                                                                  | ~ proposition(W,U)
                                                                                                                  | ~ theme(W,X,U)
                                                                                                                  | ~ event(W,X)
                                                                                                                  | ~ present(W,X)
                                                                                                                  | ~ think_believe_consider(W,X)
                                                                                                                  | ~ forename(W,Y) )
                                                                                                              <=> ( ~ forename(W,Y)
                                                                                                                  | ~ think_believe_consider(W,X)
                                                                                                                  | ~ present(W,X)
                                                                                                                  | ~ event(W,X)
                                                                                                                  | ~ theme(W,X,U)
                                                                                                                  | ~ proposition(W,U)
                                                                                                                  | ~ accessible_world(W,U)
                                                                                                                  | ~ event(U,V)
                                                                                                                  | ~ agent(U,V,skf4(U))
                                                                                                                  | ~ present(U,V)
                                                                                                                  | ~ smoke(U,V) ) )),
                                                                                                              ( ( ~ smoke(U,V)
                                                                                                                | ~ present(U,V)
                                                                                                                | ~ agent(U,V,skf4(U))
                                                                                                                | ~ event(U,V)
                                                                                                                | ~ accessible_world(W,U)
                                                                                                                | ~ proposition(W,U)
                                                                                                                | ~ theme(W,X,U)
                                                                                                                | ~ event(W,X)
                                                                                                                | ~ present(W,X)
                                                                                                                | ~ think_believe_consider(W,X)
                                                                                                                | ~ forename(W,Y)
                                                                                                                | ~ vincent_forename(W,Y) )
                                                                                                            <=> ( ~ forename(W,Y)
                                                                                                                | ~ think_believe_consider(W,X)
                                                                                                                | ~ present(W,X)
                                                                                                                | ~ event(W,X)
                                                                                                                | ~ theme(W,X,U)
                                                                                                                | ~ proposition(W,U)
                                                                                                                | ~ accessible_world(W,U)
                                                                                                                | ~ event(U,V)
                                                                                                                | ~ agent(U,V,skf4(U))
                                                                                                                | ~ present(U,V)
                                                                                                                | ~ smoke(U,V)
                                                                                                                | ~ vincent_forename(W,Y) ) )),
                                                                                                            rewrite(
                                                                                                              ( ( ~ forename(W,Y)
                                                                                                                | ~ think_believe_consider(W,X)
                                                                                                                | ~ present(W,X)
                                                                                                                | ~ event(W,X)
                                                                                                                | ~ theme(W,X,U)
                                                                                                                | ~ proposition(W,U)
                                                                                                                | ~ accessible_world(W,U)
                                                                                                                | ~ event(U,V)
                                                                                                                | ~ agent(U,V,skf4(U))
                                                                                                                | ~ present(U,V)
                                                                                                                | ~ smoke(U,V)
                                                                                                                | ~ vincent_forename(W,Y) )
                                                                                                            <=> ( ~ vincent_forename(W,Y)
                                                                                                                | ~ forename(W,Y)
                                                                                                                | ~ think_believe_consider(W,X)
                                                                                                                | ~ present(W,X)
                                                                                                                | ~ event(W,X)
                                                                                                                | ~ theme(W,X,U)
                                                                                                                | ~ proposition(W,U)
                                                                                                                | ~ accessible_world(W,U)
                                                                                                                | ~ event(U,V)
                                                                                                                | ~ agent(U,V,skf4(U))
                                                                                                                | ~ present(U,V)
                                                                                                                | ~ smoke(U,V) ) )),
                                                                                                            ( ( ~ smoke(U,V)
                                                                                                              | ~ present(U,V)
                                                                                                              | ~ agent(U,V,skf4(U))
                                                                                                              | ~ event(U,V)
                                                                                                              | ~ accessible_world(W,U)
                                                                                                              | ~ proposition(W,U)
                                                                                                              | ~ theme(W,X,U)
                                                                                                              | ~ event(W,X)
                                                                                                              | ~ present(W,X)
                                                                                                              | ~ think_believe_consider(W,X)
                                                                                                              | ~ forename(W,Y)
                                                                                                              | ~ vincent_forename(W,Y) )
                                                                                                          <=> ( ~ vincent_forename(W,Y)
                                                                                                              | ~ forename(W,Y)
                                                                                                              | ~ think_believe_consider(W,X)
                                                                                                              | ~ present(W,X)
                                                                                                              | ~ event(W,X)
                                                                                                              | ~ theme(W,X,U)
                                                                                                              | ~ proposition(W,U)
                                                                                                              | ~ accessible_world(W,U)
                                                                                                              | ~ event(U,V)
                                                                                                              | ~ agent(U,V,skf4(U))
                                                                                                              | ~ present(U,V)
                                                                                                              | ~ smoke(U,V) ) )),
                                                                                                          ( ( ~ smoke(U,V)
                                                                                                            | ~ present(U,V)
                                                                                                            | ~ agent(U,V,skf4(U))
                                                                                                            | ~ event(U,V)
                                                                                                            | ~ accessible_world(W,U)
                                                                                                            | ~ proposition(W,U)
                                                                                                            | ~ theme(W,X,U)
                                                                                                            | ~ event(W,X)
                                                                                                            | ~ present(W,X)
                                                                                                            | ~ think_believe_consider(W,X)
                                                                                                            | ~ forename(W,Y)
                                                                                                            | ~ vincent_forename(W,Y)
                                                                                                            | ~ of(W,Y,Z) )
                                                                                                        <=> ( ~ vincent_forename(W,Y)
                                                                                                            | ~ forename(W,Y)
                                                                                                            | ~ think_believe_consider(W,X)
                                                                                                            | ~ present(W,X)
                                                                                                            | ~ event(W,X)
                                                                                                            | ~ theme(W,X,U)
                                                                                                            | ~ proposition(W,U)
                                                                                                            | ~ accessible_world(W,U)
                                                                                                            | ~ event(U,V)
                                                                                                            | ~ agent(U,V,skf4(U))
                                                                                                            | ~ present(U,V)
                                                                                                            | ~ smoke(U,V)
                                                                                                            | ~ of(W,Y,Z) ) )),
                                                                                                        rewrite(
                                                                                                          ( ( ~ vincent_forename(W,Y)
                                                                                                            | ~ forename(W,Y)
                                                                                                            | ~ think_believe_consider(W,X)
                                                                                                            | ~ present(W,X)
                                                                                                            | ~ event(W,X)
                                                                                                            | ~ theme(W,X,U)
                                                                                                            | ~ proposition(W,U)
                                                                                                            | ~ accessible_world(W,U)
                                                                                                            | ~ event(U,V)
                                                                                                            | ~ agent(U,V,skf4(U))
                                                                                                            | ~ present(U,V)
                                                                                                            | ~ smoke(U,V)
                                                                                                            | ~ of(W,Y,Z) )
                                                                                                        <=> ( ~ of(W,Y,Z)
                                                                                                            | ~ vincent_forename(W,Y)
                                                                                                            | ~ forename(W,Y)
                                                                                                            | ~ think_believe_consider(W,X)
                                                                                                            | ~ present(W,X)
                                                                                                            | ~ event(W,X)
                                                                                                            | ~ theme(W,X,U)
                                                                                                            | ~ proposition(W,U)
                                                                                                            | ~ accessible_world(W,U)
                                                                                                            | ~ event(U,V)
                                                                                                            | ~ agent(U,V,skf4(U))
                                                                                                            | ~ present(U,V)
                                                                                                            | ~ smoke(U,V) ) )),
                                                                                                        ( ( ~ smoke(U,V)
                                                                                                          | ~ present(U,V)
                                                                                                          | ~ agent(U,V,skf4(U))
                                                                                                          | ~ event(U,V)
                                                                                                          | ~ accessible_world(W,U)
                                                                                                          | ~ proposition(W,U)
                                                                                                          | ~ theme(W,X,U)
                                                                                                          | ~ event(W,X)
                                                                                                          | ~ present(W,X)
                                                                                                          | ~ think_believe_consider(W,X)
                                                                                                          | ~ forename(W,Y)
                                                                                                          | ~ vincent_forename(W,Y)
                                                                                                          | ~ of(W,Y,Z) )
                                                                                                      <=> ( ~ of(W,Y,Z)
                                                                                                          | ~ vincent_forename(W,Y)
                                                                                                          | ~ forename(W,Y)
                                                                                                          | ~ think_believe_consider(W,X)
                                                                                                          | ~ present(W,X)
                                                                                                          | ~ event(W,X)
                                                                                                          | ~ theme(W,X,U)
                                                                                                          | ~ proposition(W,U)
                                                                                                          | ~ accessible_world(W,U)
                                                                                                          | ~ event(U,V)
                                                                                                          | ~ agent(U,V,skf4(U))
                                                                                                          | ~ present(U,V)
                                                                                                          | ~ smoke(U,V) ) )),
                                                                                                      ( ( ~ smoke(U,V)
                                                                                                        | ~ present(U,V)
                                                                                                        | ~ agent(U,V,skf4(U))
                                                                                                        | ~ event(U,V)
                                                                                                        | ~ accessible_world(W,U)
                                                                                                        | ~ proposition(W,U)
                                                                                                        | ~ theme(W,X,U)
                                                                                                        | ~ event(W,X)
                                                                                                        | ~ present(W,X)
                                                                                                        | ~ think_believe_consider(W,X)
                                                                                                        | ~ forename(W,Y)
                                                                                                        | ~ vincent_forename(W,Y)
                                                                                                        | ~ of(W,Y,Z)
                                                                                                        | ~ man(W,Z) )
                                                                                                    <=> ( ~ of(W,Y,Z)
                                                                                                        | ~ vincent_forename(W,Y)
                                                                                                        | ~ forename(W,Y)
                                                                                                        | ~ think_believe_consider(W,X)
                                                                                                        | ~ present(W,X)
                                                                                                        | ~ event(W,X)
                                                                                                        | ~ theme(W,X,U)
                                                                                                        | ~ proposition(W,U)
                                                                                                        | ~ accessible_world(W,U)
                                                                                                        | ~ event(U,V)
                                                                                                        | ~ agent(U,V,skf4(U))
                                                                                                        | ~ present(U,V)
                                                                                                        | ~ smoke(U,V)
                                                                                                        | ~ man(W,Z) ) )),
                                                                                                    rewrite(
                                                                                                      ( ( ~ of(W,Y,Z)
                                                                                                        | ~ vincent_forename(W,Y)
                                                                                                        | ~ forename(W,Y)
                                                                                                        | ~ think_believe_consider(W,X)
                                                                                                        | ~ present(W,X)
                                                                                                        | ~ event(W,X)
                                                                                                        | ~ theme(W,X,U)
                                                                                                        | ~ proposition(W,U)
                                                                                                        | ~ accessible_world(W,U)
                                                                                                        | ~ event(U,V)
                                                                                                        | ~ agent(U,V,skf4(U))
                                                                                                        | ~ present(U,V)
                                                                                                        | ~ smoke(U,V)
                                                                                                        | ~ man(W,Z) )
                                                                                                    <=> ( ~ man(W,Z)
                                                                                                        | ~ of(W,Y,Z)
                                                                                                        | ~ vincent_forename(W,Y)
                                                                                                        | ~ forename(W,Y)
                                                                                                        | ~ think_believe_consider(W,X)
                                                                                                        | ~ present(W,X)
                                                                                                        | ~ event(W,X)
                                                                                                        | ~ theme(W,X,U)
                                                                                                        | ~ proposition(W,U)
                                                                                                        | ~ accessible_world(W,U)
                                                                                                        | ~ event(U,V)
                                                                                                        | ~ agent(U,V,skf4(U))
                                                                                                        | ~ present(U,V)
                                                                                                        | ~ smoke(U,V) ) )),
                                                                                                    ( ( ~ smoke(U,V)
                                                                                                      | ~ present(U,V)
                                                                                                      | ~ agent(U,V,skf4(U))
                                                                                                      | ~ event(U,V)
                                                                                                      | ~ accessible_world(W,U)
                                                                                                      | ~ proposition(W,U)
                                                                                                      | ~ theme(W,X,U)
                                                                                                      | ~ event(W,X)
                                                                                                      | ~ present(W,X)
                                                                                                      | ~ think_believe_consider(W,X)
                                                                                                      | ~ forename(W,Y)
                                                                                                      | ~ vincent_forename(W,Y)
                                                                                                      | ~ of(W,Y,Z)
                                                                                                      | ~ man(W,Z) )
                                                                                                  <=> ( ~ man(W,Z)
                                                                                                      | ~ of(W,Y,Z)
                                                                                                      | ~ vincent_forename(W,Y)
                                                                                                      | ~ forename(W,Y)
                                                                                                      | ~ think_believe_consider(W,X)
                                                                                                      | ~ present(W,X)
                                                                                                      | ~ event(W,X)
                                                                                                      | ~ theme(W,X,U)
                                                                                                      | ~ proposition(W,U)
                                                                                                      | ~ accessible_world(W,U)
                                                                                                      | ~ event(U,V)
                                                                                                      | ~ agent(U,V,skf4(U))
                                                                                                      | ~ present(U,V)
                                                                                                      | ~ smoke(U,V) ) )),
                                                                                                  ( ( ~ smoke(U,V)
                                                                                                    | ~ present(U,V)
                                                                                                    | ~ agent(U,V,skf4(U))
                                                                                                    | ~ event(U,V)
                                                                                                    | ~ accessible_world(W,U)
                                                                                                    | ~ proposition(W,U)
                                                                                                    | ~ theme(W,X,U)
                                                                                                    | ~ event(W,X)
                                                                                                    | ~ present(W,X)
                                                                                                    | ~ think_believe_consider(W,X)
                                                                                                    | ~ forename(W,Y)
                                                                                                    | ~ vincent_forename(W,Y)
                                                                                                    | ~ of(W,Y,Z)
                                                                                                    | ~ man(W,Z)
                                                                                                    | ~ agent(W,X,Z) )
                                                                                                <=> ( ~ man(W,Z)
                                                                                                    | ~ of(W,Y,Z)
                                                                                                    | ~ vincent_forename(W,Y)
                                                                                                    | ~ forename(W,Y)
                                                                                                    | ~ think_believe_consider(W,X)
                                                                                                    | ~ present(W,X)
                                                                                                    | ~ event(W,X)
                                                                                                    | ~ theme(W,X,U)
                                                                                                    | ~ proposition(W,U)
                                                                                                    | ~ accessible_world(W,U)
                                                                                                    | ~ event(U,V)
                                                                                                    | ~ agent(U,V,skf4(U))
                                                                                                    | ~ present(U,V)
                                                                                                    | ~ smoke(U,V)
                                                                                                    | ~ agent(W,X,Z) ) )),
                                                                                                rewrite(
                                                                                                  ( ( ~ man(W,Z)
                                                                                                    | ~ of(W,Y,Z)
                                                                                                    | ~ vincent_forename(W,Y)
                                                                                                    | ~ forename(W,Y)
                                                                                                    | ~ think_believe_consider(W,X)
                                                                                                    | ~ present(W,X)
                                                                                                    | ~ event(W,X)
                                                                                                    | ~ theme(W,X,U)
                                                                                                    | ~ proposition(W,U)
                                                                                                    | ~ accessible_world(W,U)
                                                                                                    | ~ event(U,V)
                                                                                                    | ~ agent(U,V,skf4(U))
                                                                                                    | ~ present(U,V)
                                                                                                    | ~ smoke(U,V)
                                                                                                    | ~ agent(W,X,Z) )
                                                                                                <=> ( ~ agent(W,X,Z)
                                                                                                    | ~ man(W,Z)
                                                                                                    | ~ of(W,Y,Z)
                                                                                                    | ~ vincent_forename(W,Y)
                                                                                                    | ~ forename(W,Y)
                                                                                                    | ~ think_believe_consider(W,X)
                                                                                                    | ~ present(W,X)
                                                                                                    | ~ event(W,X)
                                                                                                    | ~ theme(W,X,U)
                                                                                                    | ~ proposition(W,U)
                                                                                                    | ~ accessible_world(W,U)
                                                                                                    | ~ event(U,V)
                                                                                                    | ~ agent(U,V,skf4(U))
                                                                                                    | ~ present(U,V)
                                                                                                    | ~ smoke(U,V) ) )),
                                                                                                ( ( ~ smoke(U,V)
                                                                                                  | ~ present(U,V)
                                                                                                  | ~ agent(U,V,skf4(U))
                                                                                                  | ~ event(U,V)
                                                                                                  | ~ accessible_world(W,U)
                                                                                                  | ~ proposition(W,U)
                                                                                                  | ~ theme(W,X,U)
                                                                                                  | ~ event(W,X)
                                                                                                  | ~ present(W,X)
                                                                                                  | ~ think_believe_consider(W,X)
                                                                                                  | ~ forename(W,Y)
                                                                                                  | ~ vincent_forename(W,Y)
                                                                                                  | ~ of(W,Y,Z)
                                                                                                  | ~ man(W,Z)
                                                                                                  | ~ agent(W,X,Z) )
                                                                                              <=> ( ~ agent(W,X,Z)
                                                                                                  | ~ man(W,Z)
                                                                                                  | ~ of(W,Y,Z)
                                                                                                  | ~ vincent_forename(W,Y)
                                                                                                  | ~ forename(W,Y)
                                                                                                  | ~ think_believe_consider(W,X)
                                                                                                  | ~ present(W,X)
                                                                                                  | ~ event(W,X)
                                                                                                  | ~ theme(W,X,U)
                                                                                                  | ~ proposition(W,U)
                                                                                                  | ~ accessible_world(W,U)
                                                                                                  | ~ event(U,V)
                                                                                                  | ~ agent(U,V,skf4(U))
                                                                                                  | ~ present(U,V)
                                                                                                  | ~ smoke(U,V) ) )),
                                                                                              ( ( ~ smoke(U,V)
                                                                                                | ~ present(U,V)
                                                                                                | ~ agent(U,V,skf4(U))
                                                                                                | ~ event(U,V)
                                                                                                | ~ accessible_world(W,U)
                                                                                                | ~ proposition(W,U)
                                                                                                | ~ theme(W,X,U)
                                                                                                | ~ event(W,X)
                                                                                                | ~ present(W,X)
                                                                                                | ~ think_believe_consider(W,X)
                                                                                                | ~ forename(W,Y)
                                                                                                | ~ vincent_forename(W,Y)
                                                                                                | ~ of(W,Y,Z)
                                                                                                | ~ man(W,Z)
                                                                                                | ~ agent(W,X,Z)
                                                                                                | ~ state(W,X1) )
                                                                                            <=> ( ~ agent(W,X,Z)
                                                                                                | ~ man(W,Z)
                                                                                                | ~ of(W,Y,Z)
                                                                                                | ~ vincent_forename(W,Y)
                                                                                                | ~ forename(W,Y)
                                                                                                | ~ think_believe_consider(W,X)
                                                                                                | ~ present(W,X)
                                                                                                | ~ event(W,X)
                                                                                                | ~ theme(W,X,U)
                                                                                                | ~ proposition(W,U)
                                                                                                | ~ accessible_world(W,U)
                                                                                                | ~ event(U,V)
                                                                                                | ~ agent(U,V,skf4(U))
                                                                                                | ~ present(U,V)
                                                                                                | ~ smoke(U,V)
                                                                                                | ~ state(W,X1) ) )),
                                                                                            rewrite(
                                                                                              ( ( ~ agent(W,X,Z)
                                                                                                | ~ man(W,Z)
                                                                                                | ~ of(W,Y,Z)
                                                                                                | ~ vincent_forename(W,Y)
                                                                                                | ~ forename(W,Y)
                                                                                                | ~ think_believe_consider(W,X)
                                                                                                | ~ present(W,X)
                                                                                                | ~ event(W,X)
                                                                                                | ~ theme(W,X,U)
                                                                                                | ~ proposition(W,U)
                                                                                                | ~ accessible_world(W,U)
                                                                                                | ~ event(U,V)
                                                                                                | ~ agent(U,V,skf4(U))
                                                                                                | ~ present(U,V)
                                                                                                | ~ smoke(U,V)
                                                                                                | ~ state(W,X1) )
                                                                                            <=> ( ~ state(W,X1)
                                                                                                | ~ agent(W,X,Z)
                                                                                                | ~ man(W,Z)
                                                                                                | ~ of(W,Y,Z)
                                                                                                | ~ vincent_forename(W,Y)
                                                                                                | ~ forename(W,Y)
                                                                                                | ~ think_believe_consider(W,X)
                                                                                                | ~ present(W,X)
                                                                                                | ~ event(W,X)
                                                                                                | ~ theme(W,X,U)
                                                                                                | ~ proposition(W,U)
                                                                                                | ~ accessible_world(W,U)
                                                                                                | ~ event(U,V)
                                                                                                | ~ agent(U,V,skf4(U))
                                                                                                | ~ present(U,V)
                                                                                                | ~ smoke(U,V) ) )),
                                                                                            ( ( ~ smoke(U,V)
                                                                                              | ~ present(U,V)
                                                                                              | ~ agent(U,V,skf4(U))
                                                                                              | ~ event(U,V)
                                                                                              | ~ accessible_world(W,U)
                                                                                              | ~ proposition(W,U)
                                                                                              | ~ theme(W,X,U)
                                                                                              | ~ event(W,X)
                                                                                              | ~ present(W,X)
                                                                                              | ~ think_believe_consider(W,X)
                                                                                              | ~ forename(W,Y)
                                                                                              | ~ vincent_forename(W,Y)
                                                                                              | ~ of(W,Y,Z)
                                                                                              | ~ man(W,Z)
                                                                                              | ~ agent(W,X,Z)
                                                                                              | ~ state(W,X1) )
                                                                                          <=> ( ~ state(W,X1)
                                                                                              | ~ agent(W,X,Z)
                                                                                              | ~ man(W,Z)
                                                                                              | ~ of(W,Y,Z)
                                                                                              | ~ vincent_forename(W,Y)
                                                                                              | ~ forename(W,Y)
                                                                                              | ~ think_believe_consider(W,X)
                                                                                              | ~ present(W,X)
                                                                                              | ~ event(W,X)
                                                                                              | ~ theme(W,X,U)
                                                                                              | ~ proposition(W,U)
                                                                                              | ~ accessible_world(W,U)
                                                                                              | ~ event(U,V)
                                                                                              | ~ agent(U,V,skf4(U))
                                                                                              | ~ present(U,V)
                                                                                              | ~ smoke(U,V) ) )),
                                                                                          ( ( ~ smoke(U,V)
                                                                                            | ~ present(U,V)
                                                                                            | ~ agent(U,V,skf4(U))
                                                                                            | ~ event(U,V)
                                                                                            | ~ accessible_world(W,U)
                                                                                            | ~ proposition(W,U)
                                                                                            | ~ theme(W,X,U)
                                                                                            | ~ event(W,X)
                                                                                            | ~ present(W,X)
                                                                                            | ~ think_believe_consider(W,X)
                                                                                            | ~ forename(W,Y)
                                                                                            | ~ vincent_forename(W,Y)
                                                                                            | ~ of(W,Y,Z)
                                                                                            | ~ man(W,Z)
                                                                                            | ~ agent(W,X,Z)
                                                                                            | ~ state(W,X1)
                                                                                            | ~ smoke(X2,X3) )
                                                                                        <=> ( ~ state(W,X1)
                                                                                            | ~ agent(W,X,Z)
                                                                                            | ~ man(W,Z)
                                                                                            | ~ of(W,Y,Z)
                                                                                            | ~ vincent_forename(W,Y)
                                                                                            | ~ forename(W,Y)
                                                                                            | ~ think_believe_consider(W,X)
                                                                                            | ~ present(W,X)
                                                                                            | ~ event(W,X)
                                                                                            | ~ theme(W,X,U)
                                                                                            | ~ proposition(W,U)
                                                                                            | ~ accessible_world(W,U)
                                                                                            | ~ event(U,V)
                                                                                            | ~ agent(U,V,skf4(U))
                                                                                            | ~ present(U,V)
                                                                                            | ~ smoke(U,V)
                                                                                            | ~ smoke(X2,X3) ) )),
                                                                                        rewrite(
                                                                                          ( ( ~ state(W,X1)
                                                                                            | ~ agent(W,X,Z)
                                                                                            | ~ man(W,Z)
                                                                                            | ~ of(W,Y,Z)
                                                                                            | ~ vincent_forename(W,Y)
                                                                                            | ~ forename(W,Y)
                                                                                            | ~ think_believe_consider(W,X)
                                                                                            | ~ present(W,X)
                                                                                            | ~ event(W,X)
                                                                                            | ~ theme(W,X,U)
                                                                                            | ~ proposition(W,U)
                                                                                            | ~ accessible_world(W,U)
                                                                                            | ~ event(U,V)
                                                                                            | ~ agent(U,V,skf4(U))
                                                                                            | ~ present(U,V)
                                                                                            | ~ smoke(U,V)
                                                                                            | ~ smoke(X2,X3) )
                                                                                        <=> ( ~ smoke(X2,X3)
                                                                                            | ~ state(W,X1)
                                                                                            | ~ agent(W,X,Z)
                                                                                            | ~ man(W,Z)
                                                                                            | ~ of(W,Y,Z)
                                                                                            | ~ vincent_forename(W,Y)
                                                                                            | ~ forename(W,Y)
                                                                                            | ~ think_believe_consider(W,X)
                                                                                            | ~ present(W,X)
                                                                                            | ~ event(W,X)
                                                                                            | ~ theme(W,X,U)
                                                                                            | ~ proposition(W,U)
                                                                                            | ~ accessible_world(W,U)
                                                                                            | ~ event(U,V)
                                                                                            | ~ agent(U,V,skf4(U))
                                                                                            | ~ present(U,V)
                                                                                            | ~ smoke(U,V) ) )),
                                                                                        ( ( ~ smoke(U,V)
                                                                                          | ~ present(U,V)
                                                                                          | ~ agent(U,V,skf4(U))
                                                                                          | ~ event(U,V)
                                                                                          | ~ accessible_world(W,U)
                                                                                          | ~ proposition(W,U)
                                                                                          | ~ theme(W,X,U)
                                                                                          | ~ event(W,X)
                                                                                          | ~ present(W,X)
                                                                                          | ~ think_believe_consider(W,X)
                                                                                          | ~ forename(W,Y)
                                                                                          | ~ vincent_forename(W,Y)
                                                                                          | ~ of(W,Y,Z)
                                                                                          | ~ man(W,Z)
                                                                                          | ~ agent(W,X,Z)
                                                                                          | ~ state(W,X1)
                                                                                          | ~ smoke(X2,X3) )
                                                                                      <=> ( ~ smoke(X2,X3)
                                                                                          | ~ state(W,X1)
                                                                                          | ~ agent(W,X,Z)
                                                                                          | ~ man(W,Z)
                                                                                          | ~ of(W,Y,Z)
                                                                                          | ~ vincent_forename(W,Y)
                                                                                          | ~ forename(W,Y)
                                                                                          | ~ think_believe_consider(W,X)
                                                                                          | ~ present(W,X)
                                                                                          | ~ event(W,X)
                                                                                          | ~ theme(W,X,U)
                                                                                          | ~ proposition(W,U)
                                                                                          | ~ accessible_world(W,U)
                                                                                          | ~ event(U,V)
                                                                                          | ~ agent(U,V,skf4(U))
                                                                                          | ~ present(U,V)
                                                                                          | ~ smoke(U,V) ) )),
                                                                                      ( ( ~ smoke(U,V)
                                                                                        | ~ present(U,V)
                                                                                        | ~ agent(U,V,skf4(U))
                                                                                        | ~ event(U,V)
                                                                                        | ~ accessible_world(W,U)
                                                                                        | ~ proposition(W,U)
                                                                                        | ~ theme(W,X,U)
                                                                                        | ~ event(W,X)
                                                                                        | ~ present(W,X)
                                                                                        | ~ think_believe_consider(W,X)
                                                                                        | ~ forename(W,Y)
                                                                                        | ~ vincent_forename(W,Y)
                                                                                        | ~ of(W,Y,Z)
                                                                                        | ~ man(W,Z)
                                                                                        | ~ agent(W,X,Z)
                                                                                        | ~ state(W,X1)
                                                                                        | ~ smoke(X2,X3)
                                                                                        | ~ present(X2,X3) )
                                                                                    <=> ( ~ smoke(X2,X3)
                                                                                        | ~ state(W,X1)
                                                                                        | ~ agent(W,X,Z)
                                                                                        | ~ man(W,Z)
                                                                                        | ~ of(W,Y,Z)
                                                                                        | ~ vincent_forename(W,Y)
                                                                                        | ~ forename(W,Y)
                                                                                        | ~ think_believe_consider(W,X)
                                                                                        | ~ present(W,X)
                                                                                        | ~ event(W,X)
                                                                                        | ~ theme(W,X,U)
                                                                                        | ~ proposition(W,U)
                                                                                        | ~ accessible_world(W,U)
                                                                                        | ~ event(U,V)
                                                                                        | ~ agent(U,V,skf4(U))
                                                                                        | ~ present(U,V)
                                                                                        | ~ smoke(U,V)
                                                                                        | ~ present(X2,X3) ) )),
                                                                                    rewrite(
                                                                                      ( ( ~ smoke(X2,X3)
                                                                                        | ~ state(W,X1)
                                                                                        | ~ agent(W,X,Z)
                                                                                        | ~ man(W,Z)
                                                                                        | ~ of(W,Y,Z)
                                                                                        | ~ vincent_forename(W,Y)
                                                                                        | ~ forename(W,Y)
                                                                                        | ~ think_believe_consider(W,X)
                                                                                        | ~ present(W,X)
                                                                                        | ~ event(W,X)
                                                                                        | ~ theme(W,X,U)
                                                                                        | ~ proposition(W,U)
                                                                                        | ~ accessible_world(W,U)
                                                                                        | ~ event(U,V)
                                                                                        | ~ agent(U,V,skf4(U))
                                                                                        | ~ present(U,V)
                                                                                        | ~ smoke(U,V)
                                                                                        | ~ present(X2,X3) )
                                                                                    <=> ( ~ present(X2,X3)
                                                                                        | ~ smoke(X2,X3)
                                                                                        | ~ state(W,X1)
                                                                                        | ~ agent(W,X,Z)
                                                                                        | ~ man(W,Z)
                                                                                        | ~ of(W,Y,Z)
                                                                                        | ~ vincent_forename(W,Y)
                                                                                        | ~ forename(W,Y)
                                                                                        | ~ think_believe_consider(W,X)
                                                                                        | ~ present(W,X)
                                                                                        | ~ event(W,X)
                                                                                        | ~ theme(W,X,U)
                                                                                        | ~ proposition(W,U)
                                                                                        | ~ accessible_world(W,U)
                                                                                        | ~ event(U,V)
                                                                                        | ~ agent(U,V,skf4(U))
                                                                                        | ~ present(U,V)
                                                                                        | ~ smoke(U,V) ) )),
                                                                                    ( ( ~ smoke(U,V)
                                                                                      | ~ present(U,V)
                                                                                      | ~ agent(U,V,skf4(U))
                                                                                      | ~ event(U,V)
                                                                                      | ~ accessible_world(W,U)
                                                                                      | ~ proposition(W,U)
                                                                                      | ~ theme(W,X,U)
                                                                                      | ~ event(W,X)
                                                                                      | ~ present(W,X)
                                                                                      | ~ think_believe_consider(W,X)
                                                                                      | ~ forename(W,Y)
                                                                                      | ~ vincent_forename(W,Y)
                                                                                      | ~ of(W,Y,Z)
                                                                                      | ~ man(W,Z)
                                                                                      | ~ agent(W,X,Z)
                                                                                      | ~ state(W,X1)
                                                                                      | ~ smoke(X2,X3)
                                                                                      | ~ present(X2,X3) )
                                                                                  <=> ( ~ present(X2,X3)
                                                                                      | ~ smoke(X2,X3)
                                                                                      | ~ state(W,X1)
                                                                                      | ~ agent(W,X,Z)
                                                                                      | ~ man(W,Z)
                                                                                      | ~ of(W,Y,Z)
                                                                                      | ~ vincent_forename(W,Y)
                                                                                      | ~ forename(W,Y)
                                                                                      | ~ think_believe_consider(W,X)
                                                                                      | ~ present(W,X)
                                                                                      | ~ event(W,X)
                                                                                      | ~ theme(W,X,U)
                                                                                      | ~ proposition(W,U)
                                                                                      | ~ accessible_world(W,U)
                                                                                      | ~ event(U,V)
                                                                                      | ~ agent(U,V,skf4(U))
                                                                                      | ~ present(U,V)
                                                                                      | ~ smoke(U,V) ) )),
                                                                                  ( ( ~ smoke(U,V)
                                                                                    | ~ present(U,V)
                                                                                    | ~ agent(U,V,skf4(U))
                                                                                    | ~ event(U,V)
                                                                                    | ~ accessible_world(W,U)
                                                                                    | ~ proposition(W,U)
                                                                                    | ~ theme(W,X,U)
                                                                                    | ~ event(W,X)
                                                                                    | ~ present(W,X)
                                                                                    | ~ think_believe_consider(W,X)
                                                                                    | ~ forename(W,Y)
                                                                                    | ~ vincent_forename(W,Y)
                                                                                    | ~ of(W,Y,Z)
                                                                                    | ~ man(W,Z)
                                                                                    | ~ agent(W,X,Z)
                                                                                    | ~ state(W,X1)
                                                                                    | ~ smoke(X2,X3)
                                                                                    | ~ present(X2,X3)
                                                                                    | ~ agent(X2,X3,X4) )
                                                                                <=> ( ~ present(X2,X3)
                                                                                    | ~ smoke(X2,X3)
                                                                                    | ~ state(W,X1)
                                                                                    | ~ agent(W,X,Z)
                                                                                    | ~ man(W,Z)
                                                                                    | ~ of(W,Y,Z)
                                                                                    | ~ vincent_forename(W,Y)
                                                                                    | ~ forename(W,Y)
                                                                                    | ~ think_believe_consider(W,X)
                                                                                    | ~ present(W,X)
                                                                                    | ~ event(W,X)
                                                                                    | ~ theme(W,X,U)
                                                                                    | ~ proposition(W,U)
                                                                                    | ~ accessible_world(W,U)
                                                                                    | ~ event(U,V)
                                                                                    | ~ agent(U,V,skf4(U))
                                                                                    | ~ present(U,V)
                                                                                    | ~ smoke(U,V)
                                                                                    | ~ agent(X2,X3,X4) ) )),
                                                                                rewrite(
                                                                                  ( ( ~ present(X2,X3)
                                                                                    | ~ smoke(X2,X3)
                                                                                    | ~ state(W,X1)
                                                                                    | ~ agent(W,X,Z)
                                                                                    | ~ man(W,Z)
                                                                                    | ~ of(W,Y,Z)
                                                                                    | ~ vincent_forename(W,Y)
                                                                                    | ~ forename(W,Y)
                                                                                    | ~ think_believe_consider(W,X)
                                                                                    | ~ present(W,X)
                                                                                    | ~ event(W,X)
                                                                                    | ~ theme(W,X,U)
                                                                                    | ~ proposition(W,U)
                                                                                    | ~ accessible_world(W,U)
                                                                                    | ~ event(U,V)
                                                                                    | ~ agent(U,V,skf4(U))
                                                                                    | ~ present(U,V)
                                                                                    | ~ smoke(U,V)
                                                                                    | ~ agent(X2,X3,X4) )
                                                                                <=> ( ~ agent(X2,X3,X4)
                                                                                    | ~ present(X2,X3)
                                                                                    | ~ smoke(X2,X3)
                                                                                    | ~ state(W,X1)
                                                                                    | ~ agent(W,X,Z)
                                                                                    | ~ man(W,Z)
                                                                                    | ~ of(W,Y,Z)
                                                                                    | ~ vincent_forename(W,Y)
                                                                                    | ~ forename(W,Y)
                                                                                    | ~ think_believe_consider(W,X)
                                                                                    | ~ present(W,X)
                                                                                    | ~ event(W,X)
                                                                                    | ~ theme(W,X,U)
                                                                                    | ~ proposition(W,U)
                                                                                    | ~ accessible_world(W,U)
                                                                                    | ~ event(U,V)
                                                                                    | ~ agent(U,V,skf4(U))
                                                                                    | ~ present(U,V)
                                                                                    | ~ smoke(U,V) ) )),
                                                                                ( ( ~ smoke(U,V)
                                                                                  | ~ present(U,V)
                                                                                  | ~ agent(U,V,skf4(U))
                                                                                  | ~ event(U,V)
                                                                                  | ~ accessible_world(W,U)
                                                                                  | ~ proposition(W,U)
                                                                                  | ~ theme(W,X,U)
                                                                                  | ~ event(W,X)
                                                                                  | ~ present(W,X)
                                                                                  | ~ think_believe_consider(W,X)
                                                                                  | ~ forename(W,Y)
                                                                                  | ~ vincent_forename(W,Y)
                                                                                  | ~ of(W,Y,Z)
                                                                                  | ~ man(W,Z)
                                                                                  | ~ agent(W,X,Z)
                                                                                  | ~ state(W,X1)
                                                                                  | ~ smoke(X2,X3)
                                                                                  | ~ present(X2,X3)
                                                                                  | ~ agent(X2,X3,X4) )
                                                                              <=> ( ~ agent(X2,X3,X4)
                                                                                  | ~ present(X2,X3)
                                                                                  | ~ smoke(X2,X3)
                                                                                  | ~ state(W,X1)
                                                                                  | ~ agent(W,X,Z)
                                                                                  | ~ man(W,Z)
                                                                                  | ~ of(W,Y,Z)
                                                                                  | ~ vincent_forename(W,Y)
                                                                                  | ~ forename(W,Y)
                                                                                  | ~ think_believe_consider(W,X)
                                                                                  | ~ present(W,X)
                                                                                  | ~ event(W,X)
                                                                                  | ~ theme(W,X,U)
                                                                                  | ~ proposition(W,U)
                                                                                  | ~ accessible_world(W,U)
                                                                                  | ~ event(U,V)
                                                                                  | ~ agent(U,V,skf4(U))
                                                                                  | ~ present(U,V)
                                                                                  | ~ smoke(U,V) ) )),
                                                                              ( ( ~ smoke(U,V)
                                                                                | ~ present(U,V)
                                                                                | ~ agent(U,V,skf4(U))
                                                                                | ~ event(U,V)
                                                                                | ~ accessible_world(W,U)
                                                                                | ~ proposition(W,U)
                                                                                | ~ theme(W,X,U)
                                                                                | ~ event(W,X)
                                                                                | ~ present(W,X)
                                                                                | ~ think_believe_consider(W,X)
                                                                                | ~ forename(W,Y)
                                                                                | ~ vincent_forename(W,Y)
                                                                                | ~ of(W,Y,Z)
                                                                                | ~ man(W,Z)
                                                                                | ~ agent(W,X,Z)
                                                                                | ~ state(W,X1)
                                                                                | ~ smoke(X2,X3)
                                                                                | ~ present(X2,X3)
                                                                                | ~ agent(X2,X3,X4)
                                                                                | ~ event(X2,X3) )
                                                                            <=> ( ~ agent(X2,X3,X4)
                                                                                | ~ present(X2,X3)
                                                                                | ~ smoke(X2,X3)
                                                                                | ~ state(W,X1)
                                                                                | ~ agent(W,X,Z)
                                                                                | ~ man(W,Z)
                                                                                | ~ of(W,Y,Z)
                                                                                | ~ vincent_forename(W,Y)
                                                                                | ~ forename(W,Y)
                                                                                | ~ think_believe_consider(W,X)
                                                                                | ~ present(W,X)
                                                                                | ~ event(W,X)
                                                                                | ~ theme(W,X,U)
                                                                                | ~ proposition(W,U)
                                                                                | ~ accessible_world(W,U)
                                                                                | ~ event(U,V)
                                                                                | ~ agent(U,V,skf4(U))
                                                                                | ~ present(U,V)
                                                                                | ~ smoke(U,V)
                                                                                | ~ event(X2,X3) ) )),
                                                                            rewrite(
                                                                              ( ( ~ agent(X2,X3,X4)
                                                                                | ~ present(X2,X3)
                                                                                | ~ smoke(X2,X3)
                                                                                | ~ state(W,X1)
                                                                                | ~ agent(W,X,Z)
                                                                                | ~ man(W,Z)
                                                                                | ~ of(W,Y,Z)
                                                                                | ~ vincent_forename(W,Y)
                                                                                | ~ forename(W,Y)
                                                                                | ~ think_believe_consider(W,X)
                                                                                | ~ present(W,X)
                                                                                | ~ event(W,X)
                                                                                | ~ theme(W,X,U)
                                                                                | ~ proposition(W,U)
                                                                                | ~ accessible_world(W,U)
                                                                                | ~ event(U,V)
                                                                                | ~ agent(U,V,skf4(U))
                                                                                | ~ present(U,V)
                                                                                | ~ smoke(U,V)
                                                                                | ~ event(X2,X3) )
                                                                            <=> ( ~ event(X2,X3)
                                                                                | ~ agent(X2,X3,X4)
                                                                                | ~ present(X2,X3)
                                                                                | ~ smoke(X2,X3)
                                                                                | ~ state(W,X1)
                                                                                | ~ agent(W,X,Z)
                                                                                | ~ man(W,Z)
                                                                                | ~ of(W,Y,Z)
                                                                                | ~ vincent_forename(W,Y)
                                                                                | ~ forename(W,Y)
                                                                                | ~ think_believe_consider(W,X)
                                                                                | ~ present(W,X)
                                                                                | ~ event(W,X)
                                                                                | ~ theme(W,X,U)
                                                                                | ~ proposition(W,U)
                                                                                | ~ accessible_world(W,U)
                                                                                | ~ event(U,V)
                                                                                | ~ agent(U,V,skf4(U))
                                                                                | ~ present(U,V)
                                                                                | ~ smoke(U,V) ) )),
                                                                            ( ( ~ smoke(U,V)
                                                                              | ~ present(U,V)
                                                                              | ~ agent(U,V,skf4(U))
                                                                              | ~ event(U,V)
                                                                              | ~ accessible_world(W,U)
                                                                              | ~ proposition(W,U)
                                                                              | ~ theme(W,X,U)
                                                                              | ~ event(W,X)
                                                                              | ~ present(W,X)
                                                                              | ~ think_believe_consider(W,X)
                                                                              | ~ forename(W,Y)
                                                                              | ~ vincent_forename(W,Y)
                                                                              | ~ of(W,Y,Z)
                                                                              | ~ man(W,Z)
                                                                              | ~ agent(W,X,Z)
                                                                              | ~ state(W,X1)
                                                                              | ~ smoke(X2,X3)
                                                                              | ~ present(X2,X3)
                                                                              | ~ agent(X2,X3,X4)
                                                                              | ~ event(X2,X3) )
                                                                          <=> ( ~ event(X2,X3)
                                                                              | ~ agent(X2,X3,X4)
                                                                              | ~ present(X2,X3)
                                                                              | ~ smoke(X2,X3)
                                                                              | ~ state(W,X1)
                                                                              | ~ agent(W,X,Z)
                                                                              | ~ man(W,Z)
                                                                              | ~ of(W,Y,Z)
                                                                              | ~ vincent_forename(W,Y)
                                                                              | ~ forename(W,Y)
                                                                              | ~ think_believe_consider(W,X)
                                                                              | ~ present(W,X)
                                                                              | ~ event(W,X)
                                                                              | ~ theme(W,X,U)
                                                                              | ~ proposition(W,U)
                                                                              | ~ accessible_world(W,U)
                                                                              | ~ event(U,V)
                                                                              | ~ agent(U,V,skf4(U))
                                                                              | ~ present(U,V)
                                                                              | ~ smoke(U,V) ) )),
                                                                          ( ( ~ smoke(U,V)
                                                                            | ~ present(U,V)
                                                                            | ~ agent(U,V,skf4(U))
                                                                            | ~ event(U,V)
                                                                            | ~ accessible_world(W,U)
                                                                            | ~ proposition(W,U)
                                                                            | ~ theme(W,X,U)
                                                                            | ~ event(W,X)
                                                                            | ~ present(W,X)
                                                                            | ~ think_believe_consider(W,X)
                                                                            | ~ forename(W,Y)
                                                                            | ~ vincent_forename(W,Y)
                                                                            | ~ of(W,Y,Z)
                                                                            | ~ man(W,Z)
                                                                            | ~ agent(W,X,Z)
                                                                            | ~ state(W,X1)
                                                                            | ~ smoke(X2,X3)
                                                                            | ~ present(X2,X3)
                                                                            | ~ agent(X2,X3,X4)
                                                                            | ~ event(X2,X3)
                                                                            | ~ be(W,X1,X4,X4) )
                                                                        <=> ( ~ event(X2,X3)
                                                                            | ~ agent(X2,X3,X4)
                                                                            | ~ present(X2,X3)
                                                                            | ~ smoke(X2,X3)
                                                                            | ~ state(W,X1)
                                                                            | ~ agent(W,X,Z)
                                                                            | ~ man(W,Z)
                                                                            | ~ of(W,Y,Z)
                                                                            | ~ vincent_forename(W,Y)
                                                                            | ~ forename(W,Y)
                                                                            | ~ think_believe_consider(W,X)
                                                                            | ~ present(W,X)
                                                                            | ~ event(W,X)
                                                                            | ~ theme(W,X,U)
                                                                            | ~ proposition(W,U)
                                                                            | ~ accessible_world(W,U)
                                                                            | ~ event(U,V)
                                                                            | ~ agent(U,V,skf4(U))
                                                                            | ~ present(U,V)
                                                                            | ~ smoke(U,V)
                                                                            | ~ be(W,X1,X4,X4) ) )),
                                                                        rewrite(
                                                                          ( ( ~ event(X2,X3)
                                                                            | ~ agent(X2,X3,X4)
                                                                            | ~ present(X2,X3)
                                                                            | ~ smoke(X2,X3)
                                                                            | ~ state(W,X1)
                                                                            | ~ agent(W,X,Z)
                                                                            | ~ man(W,Z)
                                                                            | ~ of(W,Y,Z)
                                                                            | ~ vincent_forename(W,Y)
                                                                            | ~ forename(W,Y)
                                                                            | ~ think_believe_consider(W,X)
                                                                            | ~ present(W,X)
                                                                            | ~ event(W,X)
                                                                            | ~ theme(W,X,U)
                                                                            | ~ proposition(W,U)
                                                                            | ~ accessible_world(W,U)
                                                                            | ~ event(U,V)
                                                                            | ~ agent(U,V,skf4(U))
                                                                            | ~ present(U,V)
                                                                            | ~ smoke(U,V)
                                                                            | ~ be(W,X1,X4,X4) )
                                                                        <=> ( ~ be(W,X1,X4,X4)
                                                                            | ~ event(X2,X3)
                                                                            | ~ agent(X2,X3,X4)
                                                                            | ~ present(X2,X3)
                                                                            | ~ smoke(X2,X3)
                                                                            | ~ state(W,X1)
                                                                            | ~ agent(W,X,Z)
                                                                            | ~ man(W,Z)
                                                                            | ~ of(W,Y,Z)
                                                                            | ~ vincent_forename(W,Y)
                                                                            | ~ forename(W,Y)
                                                                            | ~ think_believe_consider(W,X)
                                                                            | ~ present(W,X)
                                                                            | ~ event(W,X)
                                                                            | ~ theme(W,X,U)
                                                                            | ~ proposition(W,U)
                                                                            | ~ accessible_world(W,U)
                                                                            | ~ event(U,V)
                                                                            | ~ agent(U,V,skf4(U))
                                                                            | ~ present(U,V)
                                                                            | ~ smoke(U,V) ) )),
                                                                        ( ( ~ smoke(U,V)
                                                                          | ~ present(U,V)
                                                                          | ~ agent(U,V,skf4(U))
                                                                          | ~ event(U,V)
                                                                          | ~ accessible_world(W,U)
                                                                          | ~ proposition(W,U)
                                                                          | ~ theme(W,X,U)
                                                                          | ~ event(W,X)
                                                                          | ~ present(W,X)
                                                                          | ~ think_believe_consider(W,X)
                                                                          | ~ forename(W,Y)
                                                                          | ~ vincent_forename(W,Y)
                                                                          | ~ of(W,Y,Z)
                                                                          | ~ man(W,Z)
                                                                          | ~ agent(W,X,Z)
                                                                          | ~ state(W,X1)
                                                                          | ~ smoke(X2,X3)
                                                                          | ~ present(X2,X3)
                                                                          | ~ agent(X2,X3,X4)
                                                                          | ~ event(X2,X3)
                                                                          | ~ be(W,X1,X4,X4) )
                                                                      <=> ( ~ be(W,X1,X4,X4)
                                                                          | ~ event(X2,X3)
                                                                          | ~ agent(X2,X3,X4)
                                                                          | ~ present(X2,X3)
                                                                          | ~ smoke(X2,X3)
                                                                          | ~ state(W,X1)
                                                                          | ~ agent(W,X,Z)
                                                                          | ~ man(W,Z)
                                                                          | ~ of(W,Y,Z)
                                                                          | ~ vincent_forename(W,Y)
                                                                          | ~ forename(W,Y)
                                                                          | ~ think_believe_consider(W,X)
                                                                          | ~ present(W,X)
                                                                          | ~ event(W,X)
                                                                          | ~ theme(W,X,U)
                                                                          | ~ proposition(W,U)
                                                                          | ~ accessible_world(W,U)
                                                                          | ~ event(U,V)
                                                                          | ~ agent(U,V,skf4(U))
                                                                          | ~ present(U,V)
                                                                          | ~ smoke(U,V) ) )),
                                                                      ( ( ~ smoke(U,V)
                                                                        | ~ present(U,V)
                                                                        | ~ agent(U,V,skf4(U))
                                                                        | ~ event(U,V)
                                                                        | ~ accessible_world(W,U)
                                                                        | ~ proposition(W,U)
                                                                        | ~ theme(W,X,U)
                                                                        | ~ event(W,X)
                                                                        | ~ present(W,X)
                                                                        | ~ think_believe_consider(W,X)
                                                                        | ~ forename(W,Y)
                                                                        | ~ vincent_forename(W,Y)
                                                                        | ~ of(W,Y,Z)
                                                                        | ~ man(W,Z)
                                                                        | ~ agent(W,X,Z)
                                                                        | ~ state(W,X1)
                                                                        | ~ smoke(X2,X3)
                                                                        | ~ present(X2,X3)
                                                                        | ~ agent(X2,X3,X4)
                                                                        | ~ event(X2,X3)
                                                                        | ~ be(W,X1,X4,X4)
                                                                        | ~ man(W,X4) )
                                                                    <=> ( ~ be(W,X1,X4,X4)
                                                                        | ~ event(X2,X3)
                                                                        | ~ agent(X2,X3,X4)
                                                                        | ~ present(X2,X3)
                                                                        | ~ smoke(X2,X3)
                                                                        | ~ state(W,X1)
                                                                        | ~ agent(W,X,Z)
                                                                        | ~ man(W,Z)
                                                                        | ~ of(W,Y,Z)
                                                                        | ~ vincent_forename(W,Y)
                                                                        | ~ forename(W,Y)
                                                                        | ~ think_believe_consider(W,X)
                                                                        | ~ present(W,X)
                                                                        | ~ event(W,X)
                                                                        | ~ theme(W,X,U)
                                                                        | ~ proposition(W,U)
                                                                        | ~ accessible_world(W,U)
                                                                        | ~ event(U,V)
                                                                        | ~ agent(U,V,skf4(U))
                                                                        | ~ present(U,V)
                                                                        | ~ smoke(U,V)
                                                                        | ~ man(W,X4) ) )),
                                                                    rewrite(
                                                                      ( ( ~ be(W,X1,X4,X4)
                                                                        | ~ event(X2,X3)
                                                                        | ~ agent(X2,X3,X4)
                                                                        | ~ present(X2,X3)
                                                                        | ~ smoke(X2,X3)
                                                                        | ~ state(W,X1)
                                                                        | ~ agent(W,X,Z)
                                                                        | ~ man(W,Z)
                                                                        | ~ of(W,Y,Z)
                                                                        | ~ vincent_forename(W,Y)
                                                                        | ~ forename(W,Y)
                                                                        | ~ think_believe_consider(W,X)
                                                                        | ~ present(W,X)
                                                                        | ~ event(W,X)
                                                                        | ~ theme(W,X,U)
                                                                        | ~ proposition(W,U)
                                                                        | ~ accessible_world(W,U)
                                                                        | ~ event(U,V)
                                                                        | ~ agent(U,V,skf4(U))
                                                                        | ~ present(U,V)
                                                                        | ~ smoke(U,V)
                                                                        | ~ man(W,X4) )
                                                                    <=> ( ~ man(W,X4)
                                                                        | ~ be(W,X1,X4,X4)
                                                                        | ~ event(X2,X3)
                                                                        | ~ agent(X2,X3,X4)
                                                                        | ~ present(X2,X3)
                                                                        | ~ smoke(X2,X3)
                                                                        | ~ state(W,X1)
                                                                        | ~ agent(W,X,Z)
                                                                        | ~ man(W,Z)
                                                                        | ~ of(W,Y,Z)
                                                                        | ~ vincent_forename(W,Y)
                                                                        | ~ forename(W,Y)
                                                                        | ~ think_believe_consider(W,X)
                                                                        | ~ present(W,X)
                                                                        | ~ event(W,X)
                                                                        | ~ theme(W,X,U)
                                                                        | ~ proposition(W,U)
                                                                        | ~ accessible_world(W,U)
                                                                        | ~ event(U,V)
                                                                        | ~ agent(U,V,skf4(U))
                                                                        | ~ present(U,V)
                                                                        | ~ smoke(U,V) ) )),
                                                                    ( ( ~ smoke(U,V)
                                                                      | ~ present(U,V)
                                                                      | ~ agent(U,V,skf4(U))
                                                                      | ~ event(U,V)
                                                                      | ~ accessible_world(W,U)
                                                                      | ~ proposition(W,U)
                                                                      | ~ theme(W,X,U)
                                                                      | ~ event(W,X)
                                                                      | ~ present(W,X)
                                                                      | ~ think_believe_consider(W,X)
                                                                      | ~ forename(W,Y)
                                                                      | ~ vincent_forename(W,Y)
                                                                      | ~ of(W,Y,Z)
                                                                      | ~ man(W,Z)
                                                                      | ~ agent(W,X,Z)
                                                                      | ~ state(W,X1)
                                                                      | ~ smoke(X2,X3)
                                                                      | ~ present(X2,X3)
                                                                      | ~ agent(X2,X3,X4)
                                                                      | ~ event(X2,X3)
                                                                      | ~ be(W,X1,X4,X4)
                                                                      | ~ man(W,X4) )
                                                                  <=> ( ~ man(W,X4)
                                                                      | ~ be(W,X1,X4,X4)
                                                                      | ~ event(X2,X3)
                                                                      | ~ agent(X2,X3,X4)
                                                                      | ~ present(X2,X3)
                                                                      | ~ smoke(X2,X3)
                                                                      | ~ state(W,X1)
                                                                      | ~ agent(W,X,Z)
                                                                      | ~ man(W,Z)
                                                                      | ~ of(W,Y,Z)
                                                                      | ~ vincent_forename(W,Y)
                                                                      | ~ forename(W,Y)
                                                                      | ~ think_believe_consider(W,X)
                                                                      | ~ present(W,X)
                                                                      | ~ event(W,X)
                                                                      | ~ theme(W,X,U)
                                                                      | ~ proposition(W,U)
                                                                      | ~ accessible_world(W,U)
                                                                      | ~ event(U,V)
                                                                      | ~ agent(U,V,skf4(U))
                                                                      | ~ present(U,V)
                                                                      | ~ smoke(U,V) ) )),
                                                                  ( ( ~ smoke(U,V)
                                                                    | ~ present(U,V)
                                                                    | ~ agent(U,V,skf4(U))
                                                                    | ~ event(U,V)
                                                                    | ~ accessible_world(W,U)
                                                                    | ~ proposition(W,U)
                                                                    | ~ theme(W,X,U)
                                                                    | ~ event(W,X)
                                                                    | ~ present(W,X)
                                                                    | ~ think_believe_consider(W,X)
                                                                    | ~ forename(W,Y)
                                                                    | ~ vincent_forename(W,Y)
                                                                    | ~ of(W,Y,Z)
                                                                    | ~ man(W,Z)
                                                                    | ~ agent(W,X,Z)
                                                                    | ~ state(W,X1)
                                                                    | ~ smoke(X2,X3)
                                                                    | ~ present(X2,X3)
                                                                    | ~ agent(X2,X3,X4)
                                                                    | ~ event(X2,X3)
                                                                    | ~ be(W,X1,X4,X4)
                                                                    | ~ man(W,X4)
                                                                    | ~ of(W,X5,X4) )
                                                                <=> ( ~ man(W,X4)
                                                                    | ~ be(W,X1,X4,X4)
                                                                    | ~ event(X2,X3)
                                                                    | ~ agent(X2,X3,X4)
                                                                    | ~ present(X2,X3)
                                                                    | ~ smoke(X2,X3)
                                                                    | ~ state(W,X1)
                                                                    | ~ agent(W,X,Z)
                                                                    | ~ man(W,Z)
                                                                    | ~ of(W,Y,Z)
                                                                    | ~ vincent_forename(W,Y)
                                                                    | ~ forename(W,Y)
                                                                    | ~ think_believe_consider(W,X)
                                                                    | ~ present(W,X)
                                                                    | ~ event(W,X)
                                                                    | ~ theme(W,X,U)
                                                                    | ~ proposition(W,U)
                                                                    | ~ accessible_world(W,U)
                                                                    | ~ event(U,V)
                                                                    | ~ agent(U,V,skf4(U))
                                                                    | ~ present(U,V)
                                                                    | ~ smoke(U,V)
                                                                    | ~ of(W,X5,X4) ) )),
                                                                rewrite(
                                                                  ( ( ~ man(W,X4)
                                                                    | ~ be(W,X1,X4,X4)
                                                                    | ~ event(X2,X3)
                                                                    | ~ agent(X2,X3,X4)
                                                                    | ~ present(X2,X3)
                                                                    | ~ smoke(X2,X3)
                                                                    | ~ state(W,X1)
                                                                    | ~ agent(W,X,Z)
                                                                    | ~ man(W,Z)
                                                                    | ~ of(W,Y,Z)
                                                                    | ~ vincent_forename(W,Y)
                                                                    | ~ forename(W,Y)
                                                                    | ~ think_believe_consider(W,X)
                                                                    | ~ present(W,X)
                                                                    | ~ event(W,X)
                                                                    | ~ theme(W,X,U)
                                                                    | ~ proposition(W,U)
                                                                    | ~ accessible_world(W,U)
                                                                    | ~ event(U,V)
                                                                    | ~ agent(U,V,skf4(U))
                                                                    | ~ present(U,V)
                                                                    | ~ smoke(U,V)
                                                                    | ~ of(W,X5,X4) )
                                                                <=> ( ~ of(W,X5,X4)
                                                                    | ~ man(W,X4)
                                                                    | ~ be(W,X1,X4,X4)
                                                                    | ~ event(X2,X3)
                                                                    | ~ agent(X2,X3,X4)
                                                                    | ~ present(X2,X3)
                                                                    | ~ smoke(X2,X3)
                                                                    | ~ state(W,X1)
                                                                    | ~ agent(W,X,Z)
                                                                    | ~ man(W,Z)
                                                                    | ~ of(W,Y,Z)
                                                                    | ~ vincent_forename(W,Y)
                                                                    | ~ forename(W,Y)
                                                                    | ~ think_believe_consider(W,X)
                                                                    | ~ present(W,X)
                                                                    | ~ event(W,X)
                                                                    | ~ theme(W,X,U)
                                                                    | ~ proposition(W,U)
                                                                    | ~ accessible_world(W,U)
                                                                    | ~ event(U,V)
                                                                    | ~ agent(U,V,skf4(U))
                                                                    | ~ present(U,V)
                                                                    | ~ smoke(U,V) ) )),
                                                                ( ( ~ smoke(U,V)
                                                                  | ~ present(U,V)
                                                                  | ~ agent(U,V,skf4(U))
                                                                  | ~ event(U,V)
                                                                  | ~ accessible_world(W,U)
                                                                  | ~ proposition(W,U)
                                                                  | ~ theme(W,X,U)
                                                                  | ~ event(W,X)
                                                                  | ~ present(W,X)
                                                                  | ~ think_believe_consider(W,X)
                                                                  | ~ forename(W,Y)
                                                                  | ~ vincent_forename(W,Y)
                                                                  | ~ of(W,Y,Z)
                                                                  | ~ man(W,Z)
                                                                  | ~ agent(W,X,Z)
                                                                  | ~ state(W,X1)
                                                                  | ~ smoke(X2,X3)
                                                                  | ~ present(X2,X3)
                                                                  | ~ agent(X2,X3,X4)
                                                                  | ~ event(X2,X3)
                                                                  | ~ be(W,X1,X4,X4)
                                                                  | ~ man(W,X4)
                                                                  | ~ of(W,X5,X4) )
                                                              <=> ( ~ of(W,X5,X4)
                                                                  | ~ man(W,X4)
                                                                  | ~ be(W,X1,X4,X4)
                                                                  | ~ event(X2,X3)
                                                                  | ~ agent(X2,X3,X4)
                                                                  | ~ present(X2,X3)
                                                                  | ~ smoke(X2,X3)
                                                                  | ~ state(W,X1)
                                                                  | ~ agent(W,X,Z)
                                                                  | ~ man(W,Z)
                                                                  | ~ of(W,Y,Z)
                                                                  | ~ vincent_forename(W,Y)
                                                                  | ~ forename(W,Y)
                                                                  | ~ think_believe_consider(W,X)
                                                                  | ~ present(W,X)
                                                                  | ~ event(W,X)
                                                                  | ~ theme(W,X,U)
                                                                  | ~ proposition(W,U)
                                                                  | ~ accessible_world(W,U)
                                                                  | ~ event(U,V)
                                                                  | ~ agent(U,V,skf4(U))
                                                                  | ~ present(U,V)
                                                                  | ~ smoke(U,V) ) )),
                                                              ( ( ~ smoke(U,V)
                                                                | ~ present(U,V)
                                                                | ~ agent(U,V,skf4(U))
                                                                | ~ event(U,V)
                                                                | ~ accessible_world(W,U)
                                                                | ~ proposition(W,U)
                                                                | ~ theme(W,X,U)
                                                                | ~ event(W,X)
                                                                | ~ present(W,X)
                                                                | ~ think_believe_consider(W,X)
                                                                | ~ forename(W,Y)
                                                                | ~ vincent_forename(W,Y)
                                                                | ~ of(W,Y,Z)
                                                                | ~ man(W,Z)
                                                                | ~ agent(W,X,Z)
                                                                | ~ state(W,X1)
                                                                | ~ smoke(X2,X3)
                                                                | ~ present(X2,X3)
                                                                | ~ agent(X2,X3,X4)
                                                                | ~ event(X2,X3)
                                                                | ~ be(W,X1,X4,X4)
                                                                | ~ man(W,X4)
                                                                | ~ of(W,X5,X4)
                                                                | ~ jules_forename(W,X5) )
                                                            <=> ( ~ of(W,X5,X4)
                                                                | ~ man(W,X4)
                                                                | ~ be(W,X1,X4,X4)
                                                                | ~ event(X2,X3)
                                                                | ~ agent(X2,X3,X4)
                                                                | ~ present(X2,X3)
                                                                | ~ smoke(X2,X3)
                                                                | ~ state(W,X1)
                                                                | ~ agent(W,X,Z)
                                                                | ~ man(W,Z)
                                                                | ~ of(W,Y,Z)
                                                                | ~ vincent_forename(W,Y)
                                                                | ~ forename(W,Y)
                                                                | ~ think_believe_consider(W,X)
                                                                | ~ present(W,X)
                                                                | ~ event(W,X)
                                                                | ~ theme(W,X,U)
                                                                | ~ proposition(W,U)
                                                                | ~ accessible_world(W,U)
                                                                | ~ event(U,V)
                                                                | ~ agent(U,V,skf4(U))
                                                                | ~ present(U,V)
                                                                | ~ smoke(U,V)
                                                                | ~ jules_forename(W,X5) ) )),
                                                            rewrite(
                                                              ( ( ~ of(W,X5,X4)
                                                                | ~ man(W,X4)
                                                                | ~ be(W,X1,X4,X4)
                                                                | ~ event(X2,X3)
                                                                | ~ agent(X2,X3,X4)
                                                                | ~ present(X2,X3)
                                                                | ~ smoke(X2,X3)
                                                                | ~ state(W,X1)
                                                                | ~ agent(W,X,Z)
                                                                | ~ man(W,Z)
                                                                | ~ of(W,Y,Z)
                                                                | ~ vincent_forename(W,Y)
                                                                | ~ forename(W,Y)
                                                                | ~ think_believe_consider(W,X)
                                                                | ~ present(W,X)
                                                                | ~ event(W,X)
                                                                | ~ theme(W,X,U)
                                                                | ~ proposition(W,U)
                                                                | ~ accessible_world(W,U)
                                                                | ~ event(U,V)
                                                                | ~ agent(U,V,skf4(U))
                                                                | ~ present(U,V)
                                                                | ~ smoke(U,V)
                                                                | ~ jules_forename(W,X5) )
                                                            <=> ( ~ jules_forename(W,X5)
                                                                | ~ of(W,X5,X4)
                                                                | ~ man(W,X4)
                                                                | ~ be(W,X1,X4,X4)
                                                                | ~ event(X2,X3)
                                                                | ~ agent(X2,X3,X4)
                                                                | ~ present(X2,X3)
                                                                | ~ smoke(X2,X3)
                                                                | ~ state(W,X1)
                                                                | ~ agent(W,X,Z)
                                                                | ~ man(W,Z)
                                                                | ~ of(W,Y,Z)
                                                                | ~ vincent_forename(W,Y)
                                                                | ~ forename(W,Y)
                                                                | ~ think_believe_consider(W,X)
                                                                | ~ present(W,X)
                                                                | ~ event(W,X)
                                                                | ~ theme(W,X,U)
                                                                | ~ proposition(W,U)
                                                                | ~ accessible_world(W,U)
                                                                | ~ event(U,V)
                                                                | ~ agent(U,V,skf4(U))
                                                                | ~ present(U,V)
                                                                | ~ smoke(U,V) ) )),
                                                            ( ( ~ smoke(U,V)
                                                              | ~ present(U,V)
                                                              | ~ agent(U,V,skf4(U))
                                                              | ~ event(U,V)
                                                              | ~ accessible_world(W,U)
                                                              | ~ proposition(W,U)
                                                              | ~ theme(W,X,U)
                                                              | ~ event(W,X)
                                                              | ~ present(W,X)
                                                              | ~ think_believe_consider(W,X)
                                                              | ~ forename(W,Y)
                                                              | ~ vincent_forename(W,Y)
                                                              | ~ of(W,Y,Z)
                                                              | ~ man(W,Z)
                                                              | ~ agent(W,X,Z)
                                                              | ~ state(W,X1)
                                                              | ~ smoke(X2,X3)
                                                              | ~ present(X2,X3)
                                                              | ~ agent(X2,X3,X4)
                                                              | ~ event(X2,X3)
                                                              | ~ be(W,X1,X4,X4)
                                                              | ~ man(W,X4)
                                                              | ~ of(W,X5,X4)
                                                              | ~ jules_forename(W,X5) )
                                                          <=> ( ~ jules_forename(W,X5)
                                                              | ~ of(W,X5,X4)
                                                              | ~ man(W,X4)
                                                              | ~ be(W,X1,X4,X4)
                                                              | ~ event(X2,X3)
                                                              | ~ agent(X2,X3,X4)
                                                              | ~ present(X2,X3)
                                                              | ~ smoke(X2,X3)
                                                              | ~ state(W,X1)
                                                              | ~ agent(W,X,Z)
                                                              | ~ man(W,Z)
                                                              | ~ of(W,Y,Z)
                                                              | ~ vincent_forename(W,Y)
                                                              | ~ forename(W,Y)
                                                              | ~ think_believe_consider(W,X)
                                                              | ~ present(W,X)
                                                              | ~ event(W,X)
                                                              | ~ theme(W,X,U)
                                                              | ~ proposition(W,U)
                                                              | ~ accessible_world(W,U)
                                                              | ~ event(U,V)
                                                              | ~ agent(U,V,skf4(U))
                                                              | ~ present(U,V)
                                                              | ~ smoke(U,V) ) )),
                                                          ( ( ~ smoke(U,V)
                                                            | ~ present(U,V)
                                                            | ~ agent(U,V,skf4(U))
                                                            | ~ event(U,V)
                                                            | ~ accessible_world(W,U)
                                                            | ~ proposition(W,U)
                                                            | ~ theme(W,X,U)
                                                            | ~ event(W,X)
                                                            | ~ present(W,X)
                                                            | ~ think_believe_consider(W,X)
                                                            | ~ forename(W,Y)
                                                            | ~ vincent_forename(W,Y)
                                                            | ~ of(W,Y,Z)
                                                            | ~ man(W,Z)
                                                            | ~ agent(W,X,Z)
                                                            | ~ state(W,X1)
                                                            | ~ smoke(X2,X3)
                                                            | ~ present(X2,X3)
                                                            | ~ agent(X2,X3,X4)
                                                            | ~ event(X2,X3)
                                                            | ~ be(W,X1,X4,X4)
                                                            | ~ man(W,X4)
                                                            | ~ of(W,X5,X4)
                                                            | ~ jules_forename(W,X5)
                                                            | ~ forename(W,X5) )
                                                        <=> ( ~ jules_forename(W,X5)
                                                            | ~ of(W,X5,X4)
                                                            | ~ man(W,X4)
                                                            | ~ be(W,X1,X4,X4)
                                                            | ~ event(X2,X3)
                                                            | ~ agent(X2,X3,X4)
                                                            | ~ present(X2,X3)
                                                            | ~ smoke(X2,X3)
                                                            | ~ state(W,X1)
                                                            | ~ agent(W,X,Z)
                                                            | ~ man(W,Z)
                                                            | ~ of(W,Y,Z)
                                                            | ~ vincent_forename(W,Y)
                                                            | ~ forename(W,Y)
                                                            | ~ think_believe_consider(W,X)
                                                            | ~ present(W,X)
                                                            | ~ event(W,X)
                                                            | ~ theme(W,X,U)
                                                            | ~ proposition(W,U)
                                                            | ~ accessible_world(W,U)
                                                            | ~ event(U,V)
                                                            | ~ agent(U,V,skf4(U))
                                                            | ~ present(U,V)
                                                            | ~ smoke(U,V)
                                                            | ~ forename(W,X5) ) )),
                                                        rewrite(
                                                          ( ( ~ jules_forename(W,X5)
                                                            | ~ of(W,X5,X4)
                                                            | ~ man(W,X4)
                                                            | ~ be(W,X1,X4,X4)
                                                            | ~ event(X2,X3)
                                                            | ~ agent(X2,X3,X4)
                                                            | ~ present(X2,X3)
                                                            | ~ smoke(X2,X3)
                                                            | ~ state(W,X1)
                                                            | ~ agent(W,X,Z)
                                                            | ~ man(W,Z)
                                                            | ~ of(W,Y,Z)
                                                            | ~ vincent_forename(W,Y)
                                                            | ~ forename(W,Y)
                                                            | ~ think_believe_consider(W,X)
                                                            | ~ present(W,X)
                                                            | ~ event(W,X)
                                                            | ~ theme(W,X,U)
                                                            | ~ proposition(W,U)
                                                            | ~ accessible_world(W,U)
                                                            | ~ event(U,V)
                                                            | ~ agent(U,V,skf4(U))
                                                            | ~ present(U,V)
                                                            | ~ smoke(U,V)
                                                            | ~ forename(W,X5) )
                                                        <=> ( ~ forename(W,X5)
                                                            | ~ jules_forename(W,X5)
                                                            | ~ of(W,X5,X4)
                                                            | ~ man(W,X4)
                                                            | ~ be(W,X1,X4,X4)
                                                            | ~ event(X2,X3)
                                                            | ~ agent(X2,X3,X4)
                                                            | ~ present(X2,X3)
                                                            | ~ smoke(X2,X3)
                                                            | ~ state(W,X1)
                                                            | ~ agent(W,X,Z)
                                                            | ~ man(W,Z)
                                                            | ~ of(W,Y,Z)
                                                            | ~ vincent_forename(W,Y)
                                                            | ~ forename(W,Y)
                                                            | ~ think_believe_consider(W,X)
                                                            | ~ present(W,X)
                                                            | ~ event(W,X)
                                                            | ~ theme(W,X,U)
                                                            | ~ proposition(W,U)
                                                            | ~ accessible_world(W,U)
                                                            | ~ event(U,V)
                                                            | ~ agent(U,V,skf4(U))
                                                            | ~ present(U,V)
                                                            | ~ smoke(U,V) ) )),
                                                        ( ( ~ smoke(U,V)
                                                          | ~ present(U,V)
                                                          | ~ agent(U,V,skf4(U))
                                                          | ~ event(U,V)
                                                          | ~ accessible_world(W,U)
                                                          | ~ proposition(W,U)
                                                          | ~ theme(W,X,U)
                                                          | ~ event(W,X)
                                                          | ~ present(W,X)
                                                          | ~ think_believe_consider(W,X)
                                                          | ~ forename(W,Y)
                                                          | ~ vincent_forename(W,Y)
                                                          | ~ of(W,Y,Z)
                                                          | ~ man(W,Z)
                                                          | ~ agent(W,X,Z)
                                                          | ~ state(W,X1)
                                                          | ~ smoke(X2,X3)
                                                          | ~ present(X2,X3)
                                                          | ~ agent(X2,X3,X4)
                                                          | ~ event(X2,X3)
                                                          | ~ be(W,X1,X4,X4)
                                                          | ~ man(W,X4)
                                                          | ~ of(W,X5,X4)
                                                          | ~ jules_forename(W,X5)
                                                          | ~ forename(W,X5) )
                                                      <=> ( ~ forename(W,X5)
                                                          | ~ jules_forename(W,X5)
                                                          | ~ of(W,X5,X4)
                                                          | ~ man(W,X4)
                                                          | ~ be(W,X1,X4,X4)
                                                          | ~ event(X2,X3)
                                                          | ~ agent(X2,X3,X4)
                                                          | ~ present(X2,X3)
                                                          | ~ smoke(X2,X3)
                                                          | ~ state(W,X1)
                                                          | ~ agent(W,X,Z)
                                                          | ~ man(W,Z)
                                                          | ~ of(W,Y,Z)
                                                          | ~ vincent_forename(W,Y)
                                                          | ~ forename(W,Y)
                                                          | ~ think_believe_consider(W,X)
                                                          | ~ present(W,X)
                                                          | ~ event(W,X)
                                                          | ~ theme(W,X,U)
                                                          | ~ proposition(W,U)
                                                          | ~ accessible_world(W,U)
                                                          | ~ event(U,V)
                                                          | ~ agent(U,V,skf4(U))
                                                          | ~ present(U,V)
                                                          | ~ smoke(U,V) ) )),
                                                      ( ( ~ smoke(U,V)
                                                        | ~ present(U,V)
                                                        | ~ agent(U,V,skf4(U))
                                                        | ~ event(U,V)
                                                        | ~ accessible_world(W,U)
                                                        | ~ proposition(W,U)
                                                        | ~ theme(W,X,U)
                                                        | ~ event(W,X)
                                                        | ~ present(W,X)
                                                        | ~ think_believe_consider(W,X)
                                                        | ~ forename(W,Y)
                                                        | ~ vincent_forename(W,Y)
                                                        | ~ of(W,Y,Z)
                                                        | ~ man(W,Z)
                                                        | ~ agent(W,X,Z)
                                                        | ~ state(W,X1)
                                                        | ~ smoke(X2,X3)
                                                        | ~ present(X2,X3)
                                                        | ~ agent(X2,X3,X4)
                                                        | ~ event(X2,X3)
                                                        | ~ be(W,X1,X4,X4)
                                                        | ~ man(W,X4)
                                                        | ~ of(W,X5,X4)
                                                        | ~ jules_forename(W,X5)
                                                        | ~ forename(W,X5)
                                                        | ~ proposition(W,X2) )
                                                    <=> ( ~ forename(W,X5)
                                                        | ~ jules_forename(W,X5)
                                                        | ~ of(W,X5,X4)
                                                        | ~ man(W,X4)
                                                        | ~ be(W,X1,X4,X4)
                                                        | ~ event(X2,X3)
                                                        | ~ agent(X2,X3,X4)
                                                        | ~ present(X2,X3)
                                                        | ~ smoke(X2,X3)
                                                        | ~ state(W,X1)
                                                        | ~ agent(W,X,Z)
                                                        | ~ man(W,Z)
                                                        | ~ of(W,Y,Z)
                                                        | ~ vincent_forename(W,Y)
                                                        | ~ forename(W,Y)
                                                        | ~ think_believe_consider(W,X)
                                                        | ~ present(W,X)
                                                        | ~ event(W,X)
                                                        | ~ theme(W,X,U)
                                                        | ~ proposition(W,U)
                                                        | ~ accessible_world(W,U)
                                                        | ~ event(U,V)
                                                        | ~ agent(U,V,skf4(U))
                                                        | ~ present(U,V)
                                                        | ~ smoke(U,V)
                                                        | ~ proposition(W,X2) ) )),
                                                    rewrite(
                                                      ( ( ~ forename(W,X5)
                                                        | ~ jules_forename(W,X5)
                                                        | ~ of(W,X5,X4)
                                                        | ~ man(W,X4)
                                                        | ~ be(W,X1,X4,X4)
                                                        | ~ event(X2,X3)
                                                        | ~ agent(X2,X3,X4)
                                                        | ~ present(X2,X3)
                                                        | ~ smoke(X2,X3)
                                                        | ~ state(W,X1)
                                                        | ~ agent(W,X,Z)
                                                        | ~ man(W,Z)
                                                        | ~ of(W,Y,Z)
                                                        | ~ vincent_forename(W,Y)
                                                        | ~ forename(W,Y)
                                                        | ~ think_believe_consider(W,X)
                                                        | ~ present(W,X)
                                                        | ~ event(W,X)
                                                        | ~ theme(W,X,U)
                                                        | ~ proposition(W,U)
                                                        | ~ accessible_world(W,U)
                                                        | ~ event(U,V)
                                                        | ~ agent(U,V,skf4(U))
                                                        | ~ present(U,V)
                                                        | ~ smoke(U,V)
                                                        | ~ proposition(W,X2) )
                                                    <=> ( ~ proposition(W,X2)
                                                        | ~ forename(W,X5)
                                                        | ~ jules_forename(W,X5)
                                                        | ~ of(W,X5,X4)
                                                        | ~ man(W,X4)
                                                        | ~ be(W,X1,X4,X4)
                                                        | ~ event(X2,X3)
                                                        | ~ agent(X2,X3,X4)
                                                        | ~ present(X2,X3)
                                                        | ~ smoke(X2,X3)
                                                        | ~ state(W,X1)
                                                        | ~ agent(W,X,Z)
                                                        | ~ man(W,Z)
                                                        | ~ of(W,Y,Z)
                                                        | ~ vincent_forename(W,Y)
                                                        | ~ forename(W,Y)
                                                        | ~ think_believe_consider(W,X)
                                                        | ~ present(W,X)
                                                        | ~ event(W,X)
                                                        | ~ theme(W,X,U)
                                                        | ~ proposition(W,U)
                                                        | ~ accessible_world(W,U)
                                                        | ~ event(U,V)
                                                        | ~ agent(U,V,skf4(U))
                                                        | ~ present(U,V)
                                                        | ~ smoke(U,V) ) )),
                                                    ( ( ~ smoke(U,V)
                                                      | ~ present(U,V)
                                                      | ~ agent(U,V,skf4(U))
                                                      | ~ event(U,V)
                                                      | ~ accessible_world(W,U)
                                                      | ~ proposition(W,U)
                                                      | ~ theme(W,X,U)
                                                      | ~ event(W,X)
                                                      | ~ present(W,X)
                                                      | ~ think_believe_consider(W,X)
                                                      | ~ forename(W,Y)
                                                      | ~ vincent_forename(W,Y)
                                                      | ~ of(W,Y,Z)
                                                      | ~ man(W,Z)
                                                      | ~ agent(W,X,Z)
                                                      | ~ state(W,X1)
                                                      | ~ smoke(X2,X3)
                                                      | ~ present(X2,X3)
                                                      | ~ agent(X2,X3,X4)
                                                      | ~ event(X2,X3)
                                                      | ~ be(W,X1,X4,X4)
                                                      | ~ man(W,X4)
                                                      | ~ of(W,X5,X4)
                                                      | ~ jules_forename(W,X5)
                                                      | ~ forename(W,X5)
                                                      | ~ proposition(W,X2) )
                                                  <=> ( ~ proposition(W,X2)
                                                      | ~ forename(W,X5)
                                                      | ~ jules_forename(W,X5)
                                                      | ~ of(W,X5,X4)
                                                      | ~ man(W,X4)
                                                      | ~ be(W,X1,X4,X4)
                                                      | ~ event(X2,X3)
                                                      | ~ agent(X2,X3,X4)
                                                      | ~ present(X2,X3)
                                                      | ~ smoke(X2,X3)
                                                      | ~ state(W,X1)
                                                      | ~ agent(W,X,Z)
                                                      | ~ man(W,Z)
                                                      | ~ of(W,Y,Z)
                                                      | ~ vincent_forename(W,Y)
                                                      | ~ forename(W,Y)
                                                      | ~ think_believe_consider(W,X)
                                                      | ~ present(W,X)
                                                      | ~ event(W,X)
                                                      | ~ theme(W,X,U)
                                                      | ~ proposition(W,U)
                                                      | ~ accessible_world(W,U)
                                                      | ~ event(U,V)
                                                      | ~ agent(U,V,skf4(U))
                                                      | ~ present(U,V)
                                                      | ~ smoke(U,V) ) )),
                                                  ( ( ~ smoke(U,V)
                                                    | ~ present(U,V)
                                                    | ~ agent(U,V,skf4(U))
                                                    | ~ event(U,V)
                                                    | ~ accessible_world(W,U)
                                                    | ~ proposition(W,U)
                                                    | ~ theme(W,X,U)
                                                    | ~ event(W,X)
                                                    | ~ present(W,X)
                                                    | ~ think_believe_consider(W,X)
                                                    | ~ forename(W,Y)
                                                    | ~ vincent_forename(W,Y)
                                                    | ~ of(W,Y,Z)
                                                    | ~ man(W,Z)
                                                    | ~ agent(W,X,Z)
                                                    | ~ state(W,X1)
                                                    | ~ smoke(X2,X3)
                                                    | ~ present(X2,X3)
                                                    | ~ agent(X2,X3,X4)
                                                    | ~ event(X2,X3)
                                                    | ~ be(W,X1,X4,X4)
                                                    | ~ man(W,X4)
                                                    | ~ of(W,X5,X4)
                                                    | ~ jules_forename(W,X5)
                                                    | ~ forename(W,X5)
                                                    | ~ proposition(W,X2)
                                                    | ~ accessible_world(W,X2) )
                                                <=> ( ~ proposition(W,X2)
                                                    | ~ forename(W,X5)
                                                    | ~ jules_forename(W,X5)
                                                    | ~ of(W,X5,X4)
                                                    | ~ man(W,X4)
                                                    | ~ be(W,X1,X4,X4)
                                                    | ~ event(X2,X3)
                                                    | ~ agent(X2,X3,X4)
                                                    | ~ present(X2,X3)
                                                    | ~ smoke(X2,X3)
                                                    | ~ state(W,X1)
                                                    | ~ agent(W,X,Z)
                                                    | ~ man(W,Z)
                                                    | ~ of(W,Y,Z)
                                                    | ~ vincent_forename(W,Y)
                                                    | ~ forename(W,Y)
                                                    | ~ think_believe_consider(W,X)
                                                    | ~ present(W,X)
                                                    | ~ event(W,X)
                                                    | ~ theme(W,X,U)
                                                    | ~ proposition(W,U)
                                                    | ~ accessible_world(W,U)
                                                    | ~ event(U,V)
                                                    | ~ agent(U,V,skf4(U))
                                                    | ~ present(U,V)
                                                    | ~ smoke(U,V)
                                                    | ~ accessible_world(W,X2) ) )),
                                                rewrite(
                                                  ( ( ~ proposition(W,X2)
                                                    | ~ forename(W,X5)
                                                    | ~ jules_forename(W,X5)
                                                    | ~ of(W,X5,X4)
                                                    | ~ man(W,X4)
                                                    | ~ be(W,X1,X4,X4)
                                                    | ~ event(X2,X3)
                                                    | ~ agent(X2,X3,X4)
                                                    | ~ present(X2,X3)
                                                    | ~ smoke(X2,X3)
                                                    | ~ state(W,X1)
                                                    | ~ agent(W,X,Z)
                                                    | ~ man(W,Z)
                                                    | ~ of(W,Y,Z)
                                                    | ~ vincent_forename(W,Y)
                                                    | ~ forename(W,Y)
                                                    | ~ think_believe_consider(W,X)
                                                    | ~ present(W,X)
                                                    | ~ event(W,X)
                                                    | ~ theme(W,X,U)
                                                    | ~ proposition(W,U)
                                                    | ~ accessible_world(W,U)
                                                    | ~ event(U,V)
                                                    | ~ agent(U,V,skf4(U))
                                                    | ~ present(U,V)
                                                    | ~ smoke(U,V)
                                                    | ~ accessible_world(W,X2) )
                                                <=> ( ~ accessible_world(W,X2)
                                                    | ~ proposition(W,X2)
                                                    | ~ forename(W,X5)
                                                    | ~ jules_forename(W,X5)
                                                    | ~ of(W,X5,X4)
                                                    | ~ man(W,X4)
                                                    | ~ be(W,X1,X4,X4)
                                                    | ~ event(X2,X3)
                                                    | ~ agent(X2,X3,X4)
                                                    | ~ present(X2,X3)
                                                    | ~ smoke(X2,X3)
                                                    | ~ state(W,X1)
                                                    | ~ agent(W,X,Z)
                                                    | ~ man(W,Z)
                                                    | ~ of(W,Y,Z)
                                                    | ~ vincent_forename(W,Y)
                                                    | ~ forename(W,Y)
                                                    | ~ think_believe_consider(W,X)
                                                    | ~ present(W,X)
                                                    | ~ event(W,X)
                                                    | ~ theme(W,X,U)
                                                    | ~ proposition(W,U)
                                                    | ~ accessible_world(W,U)
                                                    | ~ event(U,V)
                                                    | ~ agent(U,V,skf4(U))
                                                    | ~ present(U,V)
                                                    | ~ smoke(U,V) ) )),
                                                ( ( ~ smoke(U,V)
                                                  | ~ present(U,V)
                                                  | ~ agent(U,V,skf4(U))
                                                  | ~ event(U,V)
                                                  | ~ accessible_world(W,U)
                                                  | ~ proposition(W,U)
                                                  | ~ theme(W,X,U)
                                                  | ~ event(W,X)
                                                  | ~ present(W,X)
                                                  | ~ think_believe_consider(W,X)
                                                  | ~ forename(W,Y)
                                                  | ~ vincent_forename(W,Y)
                                                  | ~ of(W,Y,Z)
                                                  | ~ man(W,Z)
                                                  | ~ agent(W,X,Z)
                                                  | ~ state(W,X1)
                                                  | ~ smoke(X2,X3)
                                                  | ~ present(X2,X3)
                                                  | ~ agent(X2,X3,X4)
                                                  | ~ event(X2,X3)
                                                  | ~ be(W,X1,X4,X4)
                                                  | ~ man(W,X4)
                                                  | ~ of(W,X5,X4)
                                                  | ~ jules_forename(W,X5)
                                                  | ~ forename(W,X5)
                                                  | ~ proposition(W,X2)
                                                  | ~ accessible_world(W,X2) )
                                              <=> ( ~ accessible_world(W,X2)
                                                  | ~ proposition(W,X2)
                                                  | ~ forename(W,X5)
                                                  | ~ jules_forename(W,X5)
                                                  | ~ of(W,X5,X4)
                                                  | ~ man(W,X4)
                                                  | ~ be(W,X1,X4,X4)
                                                  | ~ event(X2,X3)
                                                  | ~ agent(X2,X3,X4)
                                                  | ~ present(X2,X3)
                                                  | ~ smoke(X2,X3)
                                                  | ~ state(W,X1)
                                                  | ~ agent(W,X,Z)
                                                  | ~ man(W,Z)
                                                  | ~ of(W,Y,Z)
                                                  | ~ vincent_forename(W,Y)
                                                  | ~ forename(W,Y)
                                                  | ~ think_believe_consider(W,X)
                                                  | ~ present(W,X)
                                                  | ~ event(W,X)
                                                  | ~ theme(W,X,U)
                                                  | ~ proposition(W,U)
                                                  | ~ accessible_world(W,U)
                                                  | ~ event(U,V)
                                                  | ~ agent(U,V,skf4(U))
                                                  | ~ present(U,V)
                                                  | ~ smoke(U,V) ) )),
                                              ( ( ~ smoke(U,V)
                                                | ~ present(U,V)
                                                | ~ agent(U,V,skf4(U))
                                                | ~ event(U,V)
                                                | ~ accessible_world(W,U)
                                                | ~ proposition(W,U)
                                                | ~ theme(W,X,U)
                                                | ~ event(W,X)
                                                | ~ present(W,X)
                                                | ~ think_believe_consider(W,X)
                                                | ~ forename(W,Y)
                                                | ~ vincent_forename(W,Y)
                                                | ~ of(W,Y,Z)
                                                | ~ man(W,Z)
                                                | ~ agent(W,X,Z)
                                                | ~ state(W,X1)
                                                | ~ smoke(X2,X3)
                                                | ~ present(X2,X3)
                                                | ~ agent(X2,X3,X4)
                                                | ~ event(X2,X3)
                                                | ~ be(W,X1,X4,X4)
                                                | ~ man(W,X4)
                                                | ~ of(W,X5,X4)
                                                | ~ jules_forename(W,X5)
                                                | ~ forename(W,X5)
                                                | ~ proposition(W,X2)
                                                | ~ accessible_world(W,X2)
                                                | ~ think_believe_consider(W,X6) )
                                            <=> ( ~ accessible_world(W,X2)
                                                | ~ proposition(W,X2)
                                                | ~ forename(W,X5)
                                                | ~ jules_forename(W,X5)
                                                | ~ of(W,X5,X4)
                                                | ~ man(W,X4)
                                                | ~ be(W,X1,X4,X4)
                                                | ~ event(X2,X3)
                                                | ~ agent(X2,X3,X4)
                                                | ~ present(X2,X3)
                                                | ~ smoke(X2,X3)
                                                | ~ state(W,X1)
                                                | ~ agent(W,X,Z)
                                                | ~ man(W,Z)
                                                | ~ of(W,Y,Z)
                                                | ~ vincent_forename(W,Y)
                                                | ~ forename(W,Y)
                                                | ~ think_believe_consider(W,X)
                                                | ~ present(W,X)
                                                | ~ event(W,X)
                                                | ~ theme(W,X,U)
                                                | ~ proposition(W,U)
                                                | ~ accessible_world(W,U)
                                                | ~ event(U,V)
                                                | ~ agent(U,V,skf4(U))
                                                | ~ present(U,V)
                                                | ~ smoke(U,V)
                                                | ~ think_believe_consider(W,X6) ) )),
                                            rewrite(
                                              ( ( ~ accessible_world(W,X2)
                                                | ~ proposition(W,X2)
                                                | ~ forename(W,X5)
                                                | ~ jules_forename(W,X5)
                                                | ~ of(W,X5,X4)
                                                | ~ man(W,X4)
                                                | ~ be(W,X1,X4,X4)
                                                | ~ event(X2,X3)
                                                | ~ agent(X2,X3,X4)
                                                | ~ present(X2,X3)
                                                | ~ smoke(X2,X3)
                                                | ~ state(W,X1)
                                                | ~ agent(W,X,Z)
                                                | ~ man(W,Z)
                                                | ~ of(W,Y,Z)
                                                | ~ vincent_forename(W,Y)
                                                | ~ forename(W,Y)
                                                | ~ think_believe_consider(W,X)
                                                | ~ present(W,X)
                                                | ~ event(W,X)
                                                | ~ theme(W,X,U)
                                                | ~ proposition(W,U)
                                                | ~ accessible_world(W,U)
                                                | ~ event(U,V)
                                                | ~ agent(U,V,skf4(U))
                                                | ~ present(U,V)
                                                | ~ smoke(U,V)
                                                | ~ think_believe_consider(W,X6) )
                                            <=> ( ~ think_believe_consider(W,X6)
                                                | ~ accessible_world(W,X2)
                                                | ~ proposition(W,X2)
                                                | ~ forename(W,X5)
                                                | ~ jules_forename(W,X5)
                                                | ~ of(W,X5,X4)
                                                | ~ man(W,X4)
                                                | ~ be(W,X1,X4,X4)
                                                | ~ event(X2,X3)
                                                | ~ agent(X2,X3,X4)
                                                | ~ present(X2,X3)
                                                | ~ smoke(X2,X3)
                                                | ~ state(W,X1)
                                                | ~ agent(W,X,Z)
                                                | ~ man(W,Z)
                                                | ~ of(W,Y,Z)
                                                | ~ vincent_forename(W,Y)
                                                | ~ forename(W,Y)
                                                | ~ think_believe_consider(W,X)
                                                | ~ present(W,X)
                                                | ~ event(W,X)
                                                | ~ theme(W,X,U)
                                                | ~ proposition(W,U)
                                                | ~ accessible_world(W,U)
                                                | ~ event(U,V)
                                                | ~ agent(U,V,skf4(U))
                                                | ~ present(U,V)
                                                | ~ smoke(U,V) ) )),
                                            ( ( ~ smoke(U,V)
                                              | ~ present(U,V)
                                              | ~ agent(U,V,skf4(U))
                                              | ~ event(U,V)
                                              | ~ accessible_world(W,U)
                                              | ~ proposition(W,U)
                                              | ~ theme(W,X,U)
                                              | ~ event(W,X)
                                              | ~ present(W,X)
                                              | ~ think_believe_consider(W,X)
                                              | ~ forename(W,Y)
                                              | ~ vincent_forename(W,Y)
                                              | ~ of(W,Y,Z)
                                              | ~ man(W,Z)
                                              | ~ agent(W,X,Z)
                                              | ~ state(W,X1)
                                              | ~ smoke(X2,X3)
                                              | ~ present(X2,X3)
                                              | ~ agent(X2,X3,X4)
                                              | ~ event(X2,X3)
                                              | ~ be(W,X1,X4,X4)
                                              | ~ man(W,X4)
                                              | ~ of(W,X5,X4)
                                              | ~ jules_forename(W,X5)
                                              | ~ forename(W,X5)
                                              | ~ proposition(W,X2)
                                              | ~ accessible_world(W,X2)
                                              | ~ think_believe_consider(W,X6) )
                                          <=> ( ~ think_believe_consider(W,X6)
                                              | ~ accessible_world(W,X2)
                                              | ~ proposition(W,X2)
                                              | ~ forename(W,X5)
                                              | ~ jules_forename(W,X5)
                                              | ~ of(W,X5,X4)
                                              | ~ man(W,X4)
                                              | ~ be(W,X1,X4,X4)
                                              | ~ event(X2,X3)
                                              | ~ agent(X2,X3,X4)
                                              | ~ present(X2,X3)
                                              | ~ smoke(X2,X3)
                                              | ~ state(W,X1)
                                              | ~ agent(W,X,Z)
                                              | ~ man(W,Z)
                                              | ~ of(W,Y,Z)
                                              | ~ vincent_forename(W,Y)
                                              | ~ forename(W,Y)
                                              | ~ think_believe_consider(W,X)
                                              | ~ present(W,X)
                                              | ~ event(W,X)
                                              | ~ theme(W,X,U)
                                              | ~ proposition(W,U)
                                              | ~ accessible_world(W,U)
                                              | ~ event(U,V)
                                              | ~ agent(U,V,skf4(U))
                                              | ~ present(U,V)
                                              | ~ smoke(U,V) ) )),
                                          ( ( ~ smoke(U,V)
                                            | ~ present(U,V)
                                            | ~ agent(U,V,skf4(U))
                                            | ~ event(U,V)
                                            | ~ accessible_world(W,U)
                                            | ~ proposition(W,U)
                                            | ~ theme(W,X,U)
                                            | ~ event(W,X)
                                            | ~ present(W,X)
                                            | ~ think_believe_consider(W,X)
                                            | ~ forename(W,Y)
                                            | ~ vincent_forename(W,Y)
                                            | ~ of(W,Y,Z)
                                            | ~ man(W,Z)
                                            | ~ agent(W,X,Z)
                                            | ~ state(W,X1)
                                            | ~ smoke(X2,X3)
                                            | ~ present(X2,X3)
                                            | ~ agent(X2,X3,X4)
                                            | ~ event(X2,X3)
                                            | ~ be(W,X1,X4,X4)
                                            | ~ man(W,X4)
                                            | ~ of(W,X5,X4)
                                            | ~ jules_forename(W,X5)
                                            | ~ forename(W,X5)
                                            | ~ proposition(W,X2)
                                            | ~ accessible_world(W,X2)
                                            | ~ think_believe_consider(W,X6)
                                            | ~ present(W,X6) )
                                        <=> ( ~ think_believe_consider(W,X6)
                                            | ~ accessible_world(W,X2)
                                            | ~ proposition(W,X2)
                                            | ~ forename(W,X5)
                                            | ~ jules_forename(W,X5)
                                            | ~ of(W,X5,X4)
                                            | ~ man(W,X4)
                                            | ~ be(W,X1,X4,X4)
                                            | ~ event(X2,X3)
                                            | ~ agent(X2,X3,X4)
                                            | ~ present(X2,X3)
                                            | ~ smoke(X2,X3)
                                            | ~ state(W,X1)
                                            | ~ agent(W,X,Z)
                                            | ~ man(W,Z)
                                            | ~ of(W,Y,Z)
                                            | ~ vincent_forename(W,Y)
                                            | ~ forename(W,Y)
                                            | ~ think_believe_consider(W,X)
                                            | ~ present(W,X)
                                            | ~ event(W,X)
                                            | ~ theme(W,X,U)
                                            | ~ proposition(W,U)
                                            | ~ accessible_world(W,U)
                                            | ~ event(U,V)
                                            | ~ agent(U,V,skf4(U))
                                            | ~ present(U,V)
                                            | ~ smoke(U,V)
                                            | ~ present(W,X6) ) )),
                                        rewrite(
                                          ( ( ~ think_believe_consider(W,X6)
                                            | ~ accessible_world(W,X2)
                                            | ~ proposition(W,X2)
                                            | ~ forename(W,X5)
                                            | ~ jules_forename(W,X5)
                                            | ~ of(W,X5,X4)
                                            | ~ man(W,X4)
                                            | ~ be(W,X1,X4,X4)
                                            | ~ event(X2,X3)
                                            | ~ agent(X2,X3,X4)
                                            | ~ present(X2,X3)
                                            | ~ smoke(X2,X3)
                                            | ~ state(W,X1)
                                            | ~ agent(W,X,Z)
                                            | ~ man(W,Z)
                                            | ~ of(W,Y,Z)
                                            | ~ vincent_forename(W,Y)
                                            | ~ forename(W,Y)
                                            | ~ think_believe_consider(W,X)
                                            | ~ present(W,X)
                                            | ~ event(W,X)
                                            | ~ theme(W,X,U)
                                            | ~ proposition(W,U)
                                            | ~ accessible_world(W,U)
                                            | ~ event(U,V)
                                            | ~ agent(U,V,skf4(U))
                                            | ~ present(U,V)
                                            | ~ smoke(U,V)
                                            | ~ present(W,X6) )
                                        <=> ( ~ present(W,X6)
                                            | ~ think_believe_consider(W,X6)
                                            | ~ accessible_world(W,X2)
                                            | ~ proposition(W,X2)
                                            | ~ forename(W,X5)
                                            | ~ jules_forename(W,X5)
                                            | ~ of(W,X5,X4)
                                            | ~ man(W,X4)
                                            | ~ be(W,X1,X4,X4)
                                            | ~ event(X2,X3)
                                            | ~ agent(X2,X3,X4)
                                            | ~ present(X2,X3)
                                            | ~ smoke(X2,X3)
                                            | ~ state(W,X1)
                                            | ~ agent(W,X,Z)
                                            | ~ man(W,Z)
                                            | ~ of(W,Y,Z)
                                            | ~ vincent_forename(W,Y)
                                            | ~ forename(W,Y)
                                            | ~ think_believe_consider(W,X)
                                            | ~ present(W,X)
                                            | ~ event(W,X)
                                            | ~ theme(W,X,U)
                                            | ~ proposition(W,U)
                                            | ~ accessible_world(W,U)
                                            | ~ event(U,V)
                                            | ~ agent(U,V,skf4(U))
                                            | ~ present(U,V)
                                            | ~ smoke(U,V) ) )),
                                        ( ( ~ smoke(U,V)
                                          | ~ present(U,V)
                                          | ~ agent(U,V,skf4(U))
                                          | ~ event(U,V)
                                          | ~ accessible_world(W,U)
                                          | ~ proposition(W,U)
                                          | ~ theme(W,X,U)
                                          | ~ event(W,X)
                                          | ~ present(W,X)
                                          | ~ think_believe_consider(W,X)
                                          | ~ forename(W,Y)
                                          | ~ vincent_forename(W,Y)
                                          | ~ of(W,Y,Z)
                                          | ~ man(W,Z)
                                          | ~ agent(W,X,Z)
                                          | ~ state(W,X1)
                                          | ~ smoke(X2,X3)
                                          | ~ present(X2,X3)
                                          | ~ agent(X2,X3,X4)
                                          | ~ event(X2,X3)
                                          | ~ be(W,X1,X4,X4)
                                          | ~ man(W,X4)
                                          | ~ of(W,X5,X4)
                                          | ~ jules_forename(W,X5)
                                          | ~ forename(W,X5)
                                          | ~ proposition(W,X2)
                                          | ~ accessible_world(W,X2)
                                          | ~ think_believe_consider(W,X6)
                                          | ~ present(W,X6) )
                                      <=> ( ~ present(W,X6)
                                          | ~ think_believe_consider(W,X6)
                                          | ~ accessible_world(W,X2)
                                          | ~ proposition(W,X2)
                                          | ~ forename(W,X5)
                                          | ~ jules_forename(W,X5)
                                          | ~ of(W,X5,X4)
                                          | ~ man(W,X4)
                                          | ~ be(W,X1,X4,X4)
                                          | ~ event(X2,X3)
                                          | ~ agent(X2,X3,X4)
                                          | ~ present(X2,X3)
                                          | ~ smoke(X2,X3)
                                          | ~ state(W,X1)
                                          | ~ agent(W,X,Z)
                                          | ~ man(W,Z)
                                          | ~ of(W,Y,Z)
                                          | ~ vincent_forename(W,Y)
                                          | ~ forename(W,Y)
                                          | ~ think_believe_consider(W,X)
                                          | ~ present(W,X)
                                          | ~ event(W,X)
                                          | ~ theme(W,X,U)
                                          | ~ proposition(W,U)
                                          | ~ accessible_world(W,U)
                                          | ~ event(U,V)
                                          | ~ agent(U,V,skf4(U))
                                          | ~ present(U,V)
                                          | ~ smoke(U,V) ) )),
                                      ( ( ~ smoke(U,V)
                                        | ~ present(U,V)
                                        | ~ agent(U,V,skf4(U))
                                        | ~ event(U,V)
                                        | ~ accessible_world(W,U)
                                        | ~ proposition(W,U)
                                        | ~ theme(W,X,U)
                                        | ~ event(W,X)
                                        | ~ present(W,X)
                                        | ~ think_believe_consider(W,X)
                                        | ~ forename(W,Y)
                                        | ~ vincent_forename(W,Y)
                                        | ~ of(W,Y,Z)
                                        | ~ man(W,Z)
                                        | ~ agent(W,X,Z)
                                        | ~ state(W,X1)
                                        | ~ smoke(X2,X3)
                                        | ~ present(X2,X3)
                                        | ~ agent(X2,X3,X4)
                                        | ~ event(X2,X3)
                                        | ~ be(W,X1,X4,X4)
                                        | ~ man(W,X4)
                                        | ~ of(W,X5,X4)
                                        | ~ jules_forename(W,X5)
                                        | ~ forename(W,X5)
                                        | ~ proposition(W,X2)
                                        | ~ accessible_world(W,X2)
                                        | ~ think_believe_consider(W,X6)
                                        | ~ present(W,X6)
                                        | ~ event(W,X6) )
                                    <=> ( ~ present(W,X6)
                                        | ~ think_believe_consider(W,X6)
                                        | ~ accessible_world(W,X2)
                                        | ~ proposition(W,X2)
                                        | ~ forename(W,X5)
                                        | ~ jules_forename(W,X5)
                                        | ~ of(W,X5,X4)
                                        | ~ man(W,X4)
                                        | ~ be(W,X1,X4,X4)
                                        | ~ event(X2,X3)
                                        | ~ agent(X2,X3,X4)
                                        | ~ present(X2,X3)
                                        | ~ smoke(X2,X3)
                                        | ~ state(W,X1)
                                        | ~ agent(W,X,Z)
                                        | ~ man(W,Z)
                                        | ~ of(W,Y,Z)
                                        | ~ vincent_forename(W,Y)
                                        | ~ forename(W,Y)
                                        | ~ think_believe_consider(W,X)
                                        | ~ present(W,X)
                                        | ~ event(W,X)
                                        | ~ theme(W,X,U)
                                        | ~ proposition(W,U)
                                        | ~ accessible_world(W,U)
                                        | ~ event(U,V)
                                        | ~ agent(U,V,skf4(U))
                                        | ~ present(U,V)
                                        | ~ smoke(U,V)
                                        | ~ event(W,X6) ) )),
                                    rewrite(
                                      ( ( ~ present(W,X6)
                                        | ~ think_believe_consider(W,X6)
                                        | ~ accessible_world(W,X2)
                                        | ~ proposition(W,X2)
                                        | ~ forename(W,X5)
                                        | ~ jules_forename(W,X5)
                                        | ~ of(W,X5,X4)
                                        | ~ man(W,X4)
                                        | ~ be(W,X1,X4,X4)
                                        | ~ event(X2,X3)
                                        | ~ agent(X2,X3,X4)
                                        | ~ present(X2,X3)
                                        | ~ smoke(X2,X3)
                                        | ~ state(W,X1)
                                        | ~ agent(W,X,Z)
                                        | ~ man(W,Z)
                                        | ~ of(W,Y,Z)
                                        | ~ vincent_forename(W,Y)
                                        | ~ forename(W,Y)
                                        | ~ think_believe_consider(W,X)
                                        | ~ present(W,X)
                                        | ~ event(W,X)
                                        | ~ theme(W,X,U)
                                        | ~ proposition(W,U)
                                        | ~ accessible_world(W,U)
                                        | ~ event(U,V)
                                        | ~ agent(U,V,skf4(U))
                                        | ~ present(U,V)
                                        | ~ smoke(U,V)
                                        | ~ event(W,X6) )
                                    <=> ( ~ event(W,X6)
                                        | ~ present(W,X6)
                                        | ~ think_believe_consider(W,X6)
                                        | ~ accessible_world(W,X2)
                                        | ~ proposition(W,X2)
                                        | ~ forename(W,X5)
                                        | ~ jules_forename(W,X5)
                                        | ~ of(W,X5,X4)
                                        | ~ man(W,X4)
                                        | ~ be(W,X1,X4,X4)
                                        | ~ event(X2,X3)
                                        | ~ agent(X2,X3,X4)
                                        | ~ present(X2,X3)
                                        | ~ smoke(X2,X3)
                                        | ~ state(W,X1)
                                        | ~ agent(W,X,Z)
                                        | ~ man(W,Z)
                                        | ~ of(W,Y,Z)
                                        | ~ vincent_forename(W,Y)
                                        | ~ forename(W,Y)
                                        | ~ think_believe_consider(W,X)
                                        | ~ present(W,X)
                                        | ~ event(W,X)
                                        | ~ theme(W,X,U)
                                        | ~ proposition(W,U)
                                        | ~ accessible_world(W,U)
                                        | ~ event(U,V)
                                        | ~ agent(U,V,skf4(U))
                                        | ~ present(U,V)
                                        | ~ smoke(U,V) ) )),
                                    ( ( ~ smoke(U,V)
                                      | ~ present(U,V)
                                      | ~ agent(U,V,skf4(U))
                                      | ~ event(U,V)
                                      | ~ accessible_world(W,U)
                                      | ~ proposition(W,U)
                                      | ~ theme(W,X,U)
                                      | ~ event(W,X)
                                      | ~ present(W,X)
                                      | ~ think_believe_consider(W,X)
                                      | ~ forename(W,Y)
                                      | ~ vincent_forename(W,Y)
                                      | ~ of(W,Y,Z)
                                      | ~ man(W,Z)
                                      | ~ agent(W,X,Z)
                                      | ~ state(W,X1)
                                      | ~ smoke(X2,X3)
                                      | ~ present(X2,X3)
                                      | ~ agent(X2,X3,X4)
                                      | ~ event(X2,X3)
                                      | ~ be(W,X1,X4,X4)
                                      | ~ man(W,X4)
                                      | ~ of(W,X5,X4)
                                      | ~ jules_forename(W,X5)
                                      | ~ forename(W,X5)
                                      | ~ proposition(W,X2)
                                      | ~ accessible_world(W,X2)
                                      | ~ think_believe_consider(W,X6)
                                      | ~ present(W,X6)
                                      | ~ event(W,X6) )
                                  <=> ( ~ event(W,X6)
                                      | ~ present(W,X6)
                                      | ~ think_believe_consider(W,X6)
                                      | ~ accessible_world(W,X2)
                                      | ~ proposition(W,X2)
                                      | ~ forename(W,X5)
                                      | ~ jules_forename(W,X5)
                                      | ~ of(W,X5,X4)
                                      | ~ man(W,X4)
                                      | ~ be(W,X1,X4,X4)
                                      | ~ event(X2,X3)
                                      | ~ agent(X2,X3,X4)
                                      | ~ present(X2,X3)
                                      | ~ smoke(X2,X3)
                                      | ~ state(W,X1)
                                      | ~ agent(W,X,Z)
                                      | ~ man(W,Z)
                                      | ~ of(W,Y,Z)
                                      | ~ vincent_forename(W,Y)
                                      | ~ forename(W,Y)
                                      | ~ think_believe_consider(W,X)
                                      | ~ present(W,X)
                                      | ~ event(W,X)
                                      | ~ theme(W,X,U)
                                      | ~ proposition(W,U)
                                      | ~ accessible_world(W,U)
                                      | ~ event(U,V)
                                      | ~ agent(U,V,skf4(U))
                                      | ~ present(U,V)
                                      | ~ smoke(U,V) ) )),
                                  ( ( ~ smoke(U,V)
                                    | ~ present(U,V)
                                    | ~ agent(U,V,skf4(U))
                                    | ~ event(U,V)
                                    | ~ accessible_world(W,U)
                                    | ~ proposition(W,U)
                                    | ~ theme(W,X,U)
                                    | ~ event(W,X)
                                    | ~ present(W,X)
                                    | ~ think_believe_consider(W,X)
                                    | ~ forename(W,Y)
                                    | ~ vincent_forename(W,Y)
                                    | ~ of(W,Y,Z)
                                    | ~ man(W,Z)
                                    | ~ agent(W,X,Z)
                                    | ~ state(W,X1)
                                    | ~ smoke(X2,X3)
                                    | ~ present(X2,X3)
                                    | ~ agent(X2,X3,X4)
                                    | ~ event(X2,X3)
                                    | ~ be(W,X1,X4,X4)
                                    | ~ man(W,X4)
                                    | ~ of(W,X5,X4)
                                    | ~ jules_forename(W,X5)
                                    | ~ forename(W,X5)
                                    | ~ proposition(W,X2)
                                    | ~ accessible_world(W,X2)
                                    | ~ think_believe_consider(W,X6)
                                    | ~ present(W,X6)
                                    | ~ event(W,X6)
                                    | ~ theme(W,X6,X2) )
                                <=> ( ~ event(W,X6)
                                    | ~ present(W,X6)
                                    | ~ think_believe_consider(W,X6)
                                    | ~ accessible_world(W,X2)
                                    | ~ proposition(W,X2)
                                    | ~ forename(W,X5)
                                    | ~ jules_forename(W,X5)
                                    | ~ of(W,X5,X4)
                                    | ~ man(W,X4)
                                    | ~ be(W,X1,X4,X4)
                                    | ~ event(X2,X3)
                                    | ~ agent(X2,X3,X4)
                                    | ~ present(X2,X3)
                                    | ~ smoke(X2,X3)
                                    | ~ state(W,X1)
                                    | ~ agent(W,X,Z)
                                    | ~ man(W,Z)
                                    | ~ of(W,Y,Z)
                                    | ~ vincent_forename(W,Y)
                                    | ~ forename(W,Y)
                                    | ~ think_believe_consider(W,X)
                                    | ~ present(W,X)
                                    | ~ event(W,X)
                                    | ~ theme(W,X,U)
                                    | ~ proposition(W,U)
                                    | ~ accessible_world(W,U)
                                    | ~ event(U,V)
                                    | ~ agent(U,V,skf4(U))
                                    | ~ present(U,V)
                                    | ~ smoke(U,V)
                                    | ~ theme(W,X6,X2) ) )),
                                rewrite(
                                  ( ( ~ event(W,X6)
                                    | ~ present(W,X6)
                                    | ~ think_believe_consider(W,X6)
                                    | ~ accessible_world(W,X2)
                                    | ~ proposition(W,X2)
                                    | ~ forename(W,X5)
                                    | ~ jules_forename(W,X5)
                                    | ~ of(W,X5,X4)
                                    | ~ man(W,X4)
                                    | ~ be(W,X1,X4,X4)
                                    | ~ event(X2,X3)
                                    | ~ agent(X2,X3,X4)
                                    | ~ present(X2,X3)
                                    | ~ smoke(X2,X3)
                                    | ~ state(W,X1)
                                    | ~ agent(W,X,Z)
                                    | ~ man(W,Z)
                                    | ~ of(W,Y,Z)
                                    | ~ vincent_forename(W,Y)
                                    | ~ forename(W,Y)
                                    | ~ think_believe_consider(W,X)
                                    | ~ present(W,X)
                                    | ~ event(W,X)
                                    | ~ theme(W,X,U)
                                    | ~ proposition(W,U)
                                    | ~ accessible_world(W,U)
                                    | ~ event(U,V)
                                    | ~ agent(U,V,skf4(U))
                                    | ~ present(U,V)
                                    | ~ smoke(U,V)
                                    | ~ theme(W,X6,X2) )
                                <=> ( ~ theme(W,X6,X2)
                                    | ~ event(W,X6)
                                    | ~ present(W,X6)
                                    | ~ think_believe_consider(W,X6)
                                    | ~ accessible_world(W,X2)
                                    | ~ proposition(W,X2)
                                    | ~ forename(W,X5)
                                    | ~ jules_forename(W,X5)
                                    | ~ of(W,X5,X4)
                                    | ~ man(W,X4)
                                    | ~ be(W,X1,X4,X4)
                                    | ~ event(X2,X3)
                                    | ~ agent(X2,X3,X4)
                                    | ~ present(X2,X3)
                                    | ~ smoke(X2,X3)
                                    | ~ state(W,X1)
                                    | ~ agent(W,X,Z)
                                    | ~ man(W,Z)
                                    | ~ of(W,Y,Z)
                                    | ~ vincent_forename(W,Y)
                                    | ~ forename(W,Y)
                                    | ~ think_believe_consider(W,X)
                                    | ~ present(W,X)
                                    | ~ event(W,X)
                                    | ~ theme(W,X,U)
                                    | ~ proposition(W,U)
                                    | ~ accessible_world(W,U)
                                    | ~ event(U,V)
                                    | ~ agent(U,V,skf4(U))
                                    | ~ present(U,V)
                                    | ~ smoke(U,V) ) )),
                                ( ( ~ smoke(U,V)
                                  | ~ present(U,V)
                                  | ~ agent(U,V,skf4(U))
                                  | ~ event(U,V)
                                  | ~ accessible_world(W,U)
                                  | ~ proposition(W,U)
                                  | ~ theme(W,X,U)
                                  | ~ event(W,X)
                                  | ~ present(W,X)
                                  | ~ think_believe_consider(W,X)
                                  | ~ forename(W,Y)
                                  | ~ vincent_forename(W,Y)
                                  | ~ of(W,Y,Z)
                                  | ~ man(W,Z)
                                  | ~ agent(W,X,Z)
                                  | ~ state(W,X1)
                                  | ~ smoke(X2,X3)
                                  | ~ present(X2,X3)
                                  | ~ agent(X2,X3,X4)
                                  | ~ event(X2,X3)
                                  | ~ be(W,X1,X4,X4)
                                  | ~ man(W,X4)
                                  | ~ of(W,X5,X4)
                                  | ~ jules_forename(W,X5)
                                  | ~ forename(W,X5)
                                  | ~ proposition(W,X2)
                                  | ~ accessible_world(W,X2)
                                  | ~ think_believe_consider(W,X6)
                                  | ~ present(W,X6)
                                  | ~ event(W,X6)
                                  | ~ theme(W,X6,X2) )
                              <=> ( ~ theme(W,X6,X2)
                                  | ~ event(W,X6)
                                  | ~ present(W,X6)
                                  | ~ think_believe_consider(W,X6)
                                  | ~ accessible_world(W,X2)
                                  | ~ proposition(W,X2)
                                  | ~ forename(W,X5)
                                  | ~ jules_forename(W,X5)
                                  | ~ of(W,X5,X4)
                                  | ~ man(W,X4)
                                  | ~ be(W,X1,X4,X4)
                                  | ~ event(X2,X3)
                                  | ~ agent(X2,X3,X4)
                                  | ~ present(X2,X3)
                                  | ~ smoke(X2,X3)
                                  | ~ state(W,X1)
                                  | ~ agent(W,X,Z)
                                  | ~ man(W,Z)
                                  | ~ of(W,Y,Z)
                                  | ~ vincent_forename(W,Y)
                                  | ~ forename(W,Y)
                                  | ~ think_believe_consider(W,X)
                                  | ~ present(W,X)
                                  | ~ event(W,X)
                                  | ~ theme(W,X,U)
                                  | ~ proposition(W,U)
                                  | ~ accessible_world(W,U)
                                  | ~ event(U,V)
                                  | ~ agent(U,V,skf4(U))
                                  | ~ present(U,V)
                                  | ~ smoke(U,V) ) )),
                              ( ( ~ smoke(U,V)
                                | ~ present(U,V)
                                | ~ agent(U,V,skf4(U))
                                | ~ event(U,V)
                                | ~ accessible_world(W,U)
                                | ~ proposition(W,U)
                                | ~ theme(W,X,U)
                                | ~ event(W,X)
                                | ~ present(W,X)
                                | ~ think_believe_consider(W,X)
                                | ~ forename(W,Y)
                                | ~ vincent_forename(W,Y)
                                | ~ of(W,Y,Z)
                                | ~ man(W,Z)
                                | ~ agent(W,X,Z)
                                | ~ state(W,X1)
                                | ~ smoke(X2,X3)
                                | ~ present(X2,X3)
                                | ~ agent(X2,X3,X4)
                                | ~ event(X2,X3)
                                | ~ be(W,X1,X4,X4)
                                | ~ man(W,X4)
                                | ~ of(W,X5,X4)
                                | ~ jules_forename(W,X5)
                                | ~ forename(W,X5)
                                | ~ proposition(W,X2)
                                | ~ accessible_world(W,X2)
                                | ~ think_believe_consider(W,X6)
                                | ~ present(W,X6)
                                | ~ event(W,X6)
                                | ~ theme(W,X6,X2)
                                | ~ vincent_forename(W,X7) )
                            <=> ( ~ theme(W,X6,X2)
                                | ~ event(W,X6)
                                | ~ present(W,X6)
                                | ~ think_believe_consider(W,X6)
                                | ~ accessible_world(W,X2)
                                | ~ proposition(W,X2)
                                | ~ forename(W,X5)
                                | ~ jules_forename(W,X5)
                                | ~ of(W,X5,X4)
                                | ~ man(W,X4)
                                | ~ be(W,X1,X4,X4)
                                | ~ event(X2,X3)
                                | ~ agent(X2,X3,X4)
                                | ~ present(X2,X3)
                                | ~ smoke(X2,X3)
                                | ~ state(W,X1)
                                | ~ agent(W,X,Z)
                                | ~ man(W,Z)
                                | ~ of(W,Y,Z)
                                | ~ vincent_forename(W,Y)
                                | ~ forename(W,Y)
                                | ~ think_believe_consider(W,X)
                                | ~ present(W,X)
                                | ~ event(W,X)
                                | ~ theme(W,X,U)
                                | ~ proposition(W,U)
                                | ~ accessible_world(W,U)
                                | ~ event(U,V)
                                | ~ agent(U,V,skf4(U))
                                | ~ present(U,V)
                                | ~ smoke(U,V)
                                | ~ vincent_forename(W,X7) ) )),
                            rewrite(
                              ( ( ~ theme(W,X6,X2)
                                | ~ event(W,X6)
                                | ~ present(W,X6)
                                | ~ think_believe_consider(W,X6)
                                | ~ accessible_world(W,X2)
                                | ~ proposition(W,X2)
                                | ~ forename(W,X5)
                                | ~ jules_forename(W,X5)
                                | ~ of(W,X5,X4)
                                | ~ man(W,X4)
                                | ~ be(W,X1,X4,X4)
                                | ~ event(X2,X3)
                                | ~ agent(X2,X3,X4)
                                | ~ present(X2,X3)
                                | ~ smoke(X2,X3)
                                | ~ state(W,X1)
                                | ~ agent(W,X,Z)
                                | ~ man(W,Z)
                                | ~ of(W,Y,Z)
                                | ~ vincent_forename(W,Y)
                                | ~ forename(W,Y)
                                | ~ think_believe_consider(W,X)
                                | ~ present(W,X)
                                | ~ event(W,X)
                                | ~ theme(W,X,U)
                                | ~ proposition(W,U)
                                | ~ accessible_world(W,U)
                                | ~ event(U,V)
                                | ~ agent(U,V,skf4(U))
                                | ~ present(U,V)
                                | ~ smoke(U,V)
                                | ~ vincent_forename(W,X7) )
                            <=> ( ~ vincent_forename(W,X7)
                                | ~ theme(W,X6,X2)
                                | ~ event(W,X6)
                                | ~ present(W,X6)
                                | ~ think_believe_consider(W,X6)
                                | ~ accessible_world(W,X2)
                                | ~ proposition(W,X2)
                                | ~ forename(W,X5)
                                | ~ jules_forename(W,X5)
                                | ~ of(W,X5,X4)
                                | ~ man(W,X4)
                                | ~ be(W,X1,X4,X4)
                                | ~ event(X2,X3)
                                | ~ agent(X2,X3,X4)
                                | ~ present(X2,X3)
                                | ~ smoke(X2,X3)
                                | ~ state(W,X1)
                                | ~ agent(W,X,Z)
                                | ~ man(W,Z)
                                | ~ of(W,Y,Z)
                                | ~ vincent_forename(W,Y)
                                | ~ forename(W,Y)
                                | ~ think_believe_consider(W,X)
                                | ~ present(W,X)
                                | ~ event(W,X)
                                | ~ theme(W,X,U)
                                | ~ proposition(W,U)
                                | ~ accessible_world(W,U)
                                | ~ event(U,V)
                                | ~ agent(U,V,skf4(U))
                                | ~ present(U,V)
                                | ~ smoke(U,V) ) )),
                            ( ( ~ smoke(U,V)
                              | ~ present(U,V)
                              | ~ agent(U,V,skf4(U))
                              | ~ event(U,V)
                              | ~ accessible_world(W,U)
                              | ~ proposition(W,U)
                              | ~ theme(W,X,U)
                              | ~ event(W,X)
                              | ~ present(W,X)
                              | ~ think_believe_consider(W,X)
                              | ~ forename(W,Y)
                              | ~ vincent_forename(W,Y)
                              | ~ of(W,Y,Z)
                              | ~ man(W,Z)
                              | ~ agent(W,X,Z)
                              | ~ state(W,X1)
                              | ~ smoke(X2,X3)
                              | ~ present(X2,X3)
                              | ~ agent(X2,X3,X4)
                              | ~ event(X2,X3)
                              | ~ be(W,X1,X4,X4)
                              | ~ man(W,X4)
                              | ~ of(W,X5,X4)
                              | ~ jules_forename(W,X5)
                              | ~ forename(W,X5)
                              | ~ proposition(W,X2)
                              | ~ accessible_world(W,X2)
                              | ~ think_believe_consider(W,X6)
                              | ~ present(W,X6)
                              | ~ event(W,X6)
                              | ~ theme(W,X6,X2)
                              | ~ vincent_forename(W,X7) )
                          <=> ( ~ vincent_forename(W,X7)
                              | ~ theme(W,X6,X2)
                              | ~ event(W,X6)
                              | ~ present(W,X6)
                              | ~ think_believe_consider(W,X6)
                              | ~ accessible_world(W,X2)
                              | ~ proposition(W,X2)
                              | ~ forename(W,X5)
                              | ~ jules_forename(W,X5)
                              | ~ of(W,X5,X4)
                              | ~ man(W,X4)
                              | ~ be(W,X1,X4,X4)
                              | ~ event(X2,X3)
                              | ~ agent(X2,X3,X4)
                              | ~ present(X2,X3)
                              | ~ smoke(X2,X3)
                              | ~ state(W,X1)
                              | ~ agent(W,X,Z)
                              | ~ man(W,Z)
                              | ~ of(W,Y,Z)
                              | ~ vincent_forename(W,Y)
                              | ~ forename(W,Y)
                              | ~ think_believe_consider(W,X)
                              | ~ present(W,X)
                              | ~ event(W,X)
                              | ~ theme(W,X,U)
                              | ~ proposition(W,U)
                              | ~ accessible_world(W,U)
                              | ~ event(U,V)
                              | ~ agent(U,V,skf4(U))
                              | ~ present(U,V)
                              | ~ smoke(U,V) ) )),
                          ( ( ~ smoke(U,V)
                            | ~ present(U,V)
                            | ~ agent(U,V,skf4(U))
                            | ~ event(U,V)
                            | ~ accessible_world(W,U)
                            | ~ proposition(W,U)
                            | ~ theme(W,X,U)
                            | ~ event(W,X)
                            | ~ present(W,X)
                            | ~ think_believe_consider(W,X)
                            | ~ forename(W,Y)
                            | ~ vincent_forename(W,Y)
                            | ~ of(W,Y,Z)
                            | ~ man(W,Z)
                            | ~ agent(W,X,Z)
                            | ~ state(W,X1)
                            | ~ smoke(X2,X3)
                            | ~ present(X2,X3)
                            | ~ agent(X2,X3,X4)
                            | ~ event(X2,X3)
                            | ~ be(W,X1,X4,X4)
                            | ~ man(W,X4)
                            | ~ of(W,X5,X4)
                            | ~ jules_forename(W,X5)
                            | ~ forename(W,X5)
                            | ~ proposition(W,X2)
                            | ~ accessible_world(W,X2)
                            | ~ think_believe_consider(W,X6)
                            | ~ present(W,X6)
                            | ~ event(W,X6)
                            | ~ theme(W,X6,X2)
                            | ~ vincent_forename(W,X7)
                            | ~ forename(W,X7) )
                        <=> ( ~ vincent_forename(W,X7)
                            | ~ theme(W,X6,X2)
                            | ~ event(W,X6)
                            | ~ present(W,X6)
                            | ~ think_believe_consider(W,X6)
                            | ~ accessible_world(W,X2)
                            | ~ proposition(W,X2)
                            | ~ forename(W,X5)
                            | ~ jules_forename(W,X5)
                            | ~ of(W,X5,X4)
                            | ~ man(W,X4)
                            | ~ be(W,X1,X4,X4)
                            | ~ event(X2,X3)
                            | ~ agent(X2,X3,X4)
                            | ~ present(X2,X3)
                            | ~ smoke(X2,X3)
                            | ~ state(W,X1)
                            | ~ agent(W,X,Z)
                            | ~ man(W,Z)
                            | ~ of(W,Y,Z)
                            | ~ vincent_forename(W,Y)
                            | ~ forename(W,Y)
                            | ~ think_believe_consider(W,X)
                            | ~ present(W,X)
                            | ~ event(W,X)
                            | ~ theme(W,X,U)
                            | ~ proposition(W,U)
                            | ~ accessible_world(W,U)
                            | ~ event(U,V)
                            | ~ agent(U,V,skf4(U))
                            | ~ present(U,V)
                            | ~ smoke(U,V)
                            | ~ forename(W,X7) ) )),
                        rewrite(
                          ( ( ~ vincent_forename(W,X7)
                            | ~ theme(W,X6,X2)
                            | ~ event(W,X6)
                            | ~ present(W,X6)
                            | ~ think_believe_consider(W,X6)
                            | ~ accessible_world(W,X2)
                            | ~ proposition(W,X2)
                            | ~ forename(W,X5)
                            | ~ jules_forename(W,X5)
                            | ~ of(W,X5,X4)
                            | ~ man(W,X4)
                            | ~ be(W,X1,X4,X4)
                            | ~ event(X2,X3)
                            | ~ agent(X2,X3,X4)
                            | ~ present(X2,X3)
                            | ~ smoke(X2,X3)
                            | ~ state(W,X1)
                            | ~ agent(W,X,Z)
                            | ~ man(W,Z)
                            | ~ of(W,Y,Z)
                            | ~ vincent_forename(W,Y)
                            | ~ forename(W,Y)
                            | ~ think_believe_consider(W,X)
                            | ~ present(W,X)
                            | ~ event(W,X)
                            | ~ theme(W,X,U)
                            | ~ proposition(W,U)
                            | ~ accessible_world(W,U)
                            | ~ event(U,V)
                            | ~ agent(U,V,skf4(U))
                            | ~ present(U,V)
                            | ~ smoke(U,V)
                            | ~ forename(W,X7) )
                        <=> ( ~ forename(W,X7)
                            | ~ vincent_forename(W,X7)
                            | ~ theme(W,X6,X2)
                            | ~ event(W,X6)
                            | ~ present(W,X6)
                            | ~ think_believe_consider(W,X6)
                            | ~ accessible_world(W,X2)
                            | ~ proposition(W,X2)
                            | ~ forename(W,X5)
                            | ~ jules_forename(W,X5)
                            | ~ of(W,X5,X4)
                            | ~ man(W,X4)
                            | ~ be(W,X1,X4,X4)
                            | ~ event(X2,X3)
                            | ~ agent(X2,X3,X4)
                            | ~ present(X2,X3)
                            | ~ smoke(X2,X3)
                            | ~ state(W,X1)
                            | ~ agent(W,X,Z)
                            | ~ man(W,Z)
                            | ~ of(W,Y,Z)
                            | ~ vincent_forename(W,Y)
                            | ~ forename(W,Y)
                            | ~ think_believe_consider(W,X)
                            | ~ present(W,X)
                            | ~ event(W,X)
                            | ~ theme(W,X,U)
                            | ~ proposition(W,U)
                            | ~ accessible_world(W,U)
                            | ~ event(U,V)
                            | ~ agent(U,V,skf4(U))
                            | ~ present(U,V)
                            | ~ smoke(U,V) ) )),
                        ( ( ~ smoke(U,V)
                          | ~ present(U,V)
                          | ~ agent(U,V,skf4(U))
                          | ~ event(U,V)
                          | ~ accessible_world(W,U)
                          | ~ proposition(W,U)
                          | ~ theme(W,X,U)
                          | ~ event(W,X)
                          | ~ present(W,X)
                          | ~ think_believe_consider(W,X)
                          | ~ forename(W,Y)
                          | ~ vincent_forename(W,Y)
                          | ~ of(W,Y,Z)
                          | ~ man(W,Z)
                          | ~ agent(W,X,Z)
                          | ~ state(W,X1)
                          | ~ smoke(X2,X3)
                          | ~ present(X2,X3)
                          | ~ agent(X2,X3,X4)
                          | ~ event(X2,X3)
                          | ~ be(W,X1,X4,X4)
                          | ~ man(W,X4)
                          | ~ of(W,X5,X4)
                          | ~ jules_forename(W,X5)
                          | ~ forename(W,X5)
                          | ~ proposition(W,X2)
                          | ~ accessible_world(W,X2)
                          | ~ think_believe_consider(W,X6)
                          | ~ present(W,X6)
                          | ~ event(W,X6)
                          | ~ theme(W,X6,X2)
                          | ~ vincent_forename(W,X7)
                          | ~ forename(W,X7) )
                      <=> ( ~ forename(W,X7)
                          | ~ vincent_forename(W,X7)
                          | ~ theme(W,X6,X2)
                          | ~ event(W,X6)
                          | ~ present(W,X6)
                          | ~ think_believe_consider(W,X6)
                          | ~ accessible_world(W,X2)
                          | ~ proposition(W,X2)
                          | ~ forename(W,X5)
                          | ~ jules_forename(W,X5)
                          | ~ of(W,X5,X4)
                          | ~ man(W,X4)
                          | ~ be(W,X1,X4,X4)
                          | ~ event(X2,X3)
                          | ~ agent(X2,X3,X4)
                          | ~ present(X2,X3)
                          | ~ smoke(X2,X3)
                          | ~ state(W,X1)
                          | ~ agent(W,X,Z)
                          | ~ man(W,Z)
                          | ~ of(W,Y,Z)
                          | ~ vincent_forename(W,Y)
                          | ~ forename(W,Y)
                          | ~ think_believe_consider(W,X)
                          | ~ present(W,X)
                          | ~ event(W,X)
                          | ~ theme(W,X,U)
                          | ~ proposition(W,U)
                          | ~ accessible_world(W,U)
                          | ~ event(U,V)
                          | ~ agent(U,V,skf4(U))
                          | ~ present(U,V)
                          | ~ smoke(U,V) ) )),
                      ( ( ~ smoke(U,V)
                        | ~ present(U,V)
                        | ~ agent(U,V,skf4(U))
                        | ~ event(U,V)
                        | ~ accessible_world(W,U)
                        | ~ proposition(W,U)
                        | ~ theme(W,X,U)
                        | ~ event(W,X)
                        | ~ present(W,X)
                        | ~ think_believe_consider(W,X)
                        | ~ forename(W,Y)
                        | ~ vincent_forename(W,Y)
                        | ~ of(W,Y,Z)
                        | ~ man(W,Z)
                        | ~ agent(W,X,Z)
                        | ~ state(W,X1)
                        | ~ smoke(X2,X3)
                        | ~ present(X2,X3)
                        | ~ agent(X2,X3,X4)
                        | ~ event(X2,X3)
                        | ~ be(W,X1,X4,X4)
                        | ~ man(W,X4)
                        | ~ of(W,X5,X4)
                        | ~ jules_forename(W,X5)
                        | ~ forename(W,X5)
                        | ~ proposition(W,X2)
                        | ~ accessible_world(W,X2)
                        | ~ think_believe_consider(W,X6)
                        | ~ present(W,X6)
                        | ~ event(W,X6)
                        | ~ theme(W,X6,X2)
                        | ~ vincent_forename(W,X7)
                        | ~ forename(W,X7)
                        | ~ agent(W,X6,X8) )
                    <=> ( ~ forename(W,X7)
                        | ~ vincent_forename(W,X7)
                        | ~ theme(W,X6,X2)
                        | ~ event(W,X6)
                        | ~ present(W,X6)
                        | ~ think_believe_consider(W,X6)
                        | ~ accessible_world(W,X2)
                        | ~ proposition(W,X2)
                        | ~ forename(W,X5)
                        | ~ jules_forename(W,X5)
                        | ~ of(W,X5,X4)
                        | ~ man(W,X4)
                        | ~ be(W,X1,X4,X4)
                        | ~ event(X2,X3)
                        | ~ agent(X2,X3,X4)
                        | ~ present(X2,X3)
                        | ~ smoke(X2,X3)
                        | ~ state(W,X1)
                        | ~ agent(W,X,Z)
                        | ~ man(W,Z)
                        | ~ of(W,Y,Z)
                        | ~ vincent_forename(W,Y)
                        | ~ forename(W,Y)
                        | ~ think_believe_consider(W,X)
                        | ~ present(W,X)
                        | ~ event(W,X)
                        | ~ theme(W,X,U)
                        | ~ proposition(W,U)
                        | ~ accessible_world(W,U)
                        | ~ event(U,V)
                        | ~ agent(U,V,skf4(U))
                        | ~ present(U,V)
                        | ~ smoke(U,V)
                        | ~ agent(W,X6,X8) ) )),
                    rewrite(
                      ( ( ~ forename(W,X7)
                        | ~ vincent_forename(W,X7)
                        | ~ theme(W,X6,X2)
                        | ~ event(W,X6)
                        | ~ present(W,X6)
                        | ~ think_believe_consider(W,X6)
                        | ~ accessible_world(W,X2)
                        | ~ proposition(W,X2)
                        | ~ forename(W,X5)
                        | ~ jules_forename(W,X5)
                        | ~ of(W,X5,X4)
                        | ~ man(W,X4)
                        | ~ be(W,X1,X4,X4)
                        | ~ event(X2,X3)
                        | ~ agent(X2,X3,X4)
                        | ~ present(X2,X3)
                        | ~ smoke(X2,X3)
                        | ~ state(W,X1)
                        | ~ agent(W,X,Z)
                        | ~ man(W,Z)
                        | ~ of(W,Y,Z)
                        | ~ vincent_forename(W,Y)
                        | ~ forename(W,Y)
                        | ~ think_believe_consider(W,X)
                        | ~ present(W,X)
                        | ~ event(W,X)
                        | ~ theme(W,X,U)
                        | ~ proposition(W,U)
                        | ~ accessible_world(W,U)
                        | ~ event(U,V)
                        | ~ agent(U,V,skf4(U))
                        | ~ present(U,V)
                        | ~ smoke(U,V)
                        | ~ agent(W,X6,X8) )
                    <=> ( ~ agent(W,X6,X8)
                        | ~ forename(W,X7)
                        | ~ vincent_forename(W,X7)
                        | ~ theme(W,X6,X2)
                        | ~ event(W,X6)
                        | ~ present(W,X6)
                        | ~ think_believe_consider(W,X6)
                        | ~ accessible_world(W,X2)
                        | ~ proposition(W,X2)
                        | ~ forename(W,X5)
                        | ~ jules_forename(W,X5)
                        | ~ of(W,X5,X4)
                        | ~ man(W,X4)
                        | ~ be(W,X1,X4,X4)
                        | ~ event(X2,X3)
                        | ~ agent(X2,X3,X4)
                        | ~ present(X2,X3)
                        | ~ smoke(X2,X3)
                        | ~ state(W,X1)
                        | ~ agent(W,X,Z)
                        | ~ man(W,Z)
                        | ~ of(W,Y,Z)
                        | ~ vincent_forename(W,Y)
                        | ~ forename(W,Y)
                        | ~ think_believe_consider(W,X)
                        | ~ present(W,X)
                        | ~ event(W,X)
                        | ~ theme(W,X,U)
                        | ~ proposition(W,U)
                        | ~ accessible_world(W,U)
                        | ~ event(U,V)
                        | ~ agent(U,V,skf4(U))
                        | ~ present(U,V)
                        | ~ smoke(U,V) ) )),
                    ( ( ~ smoke(U,V)
                      | ~ present(U,V)
                      | ~ agent(U,V,skf4(U))
                      | ~ event(U,V)
                      | ~ accessible_world(W,U)
                      | ~ proposition(W,U)
                      | ~ theme(W,X,U)
                      | ~ event(W,X)
                      | ~ present(W,X)
                      | ~ think_believe_consider(W,X)
                      | ~ forename(W,Y)
                      | ~ vincent_forename(W,Y)
                      | ~ of(W,Y,Z)
                      | ~ man(W,Z)
                      | ~ agent(W,X,Z)
                      | ~ state(W,X1)
                      | ~ smoke(X2,X3)
                      | ~ present(X2,X3)
                      | ~ agent(X2,X3,X4)
                      | ~ event(X2,X3)
                      | ~ be(W,X1,X4,X4)
                      | ~ man(W,X4)
                      | ~ of(W,X5,X4)
                      | ~ jules_forename(W,X5)
                      | ~ forename(W,X5)
                      | ~ proposition(W,X2)
                      | ~ accessible_world(W,X2)
                      | ~ think_believe_consider(W,X6)
                      | ~ present(W,X6)
                      | ~ event(W,X6)
                      | ~ theme(W,X6,X2)
                      | ~ vincent_forename(W,X7)
                      | ~ forename(W,X7)
                      | ~ agent(W,X6,X8) )
                  <=> ( ~ agent(W,X6,X8)
                      | ~ forename(W,X7)
                      | ~ vincent_forename(W,X7)
                      | ~ theme(W,X6,X2)
                      | ~ event(W,X6)
                      | ~ present(W,X6)
                      | ~ think_believe_consider(W,X6)
                      | ~ accessible_world(W,X2)
                      | ~ proposition(W,X2)
                      | ~ forename(W,X5)
                      | ~ jules_forename(W,X5)
                      | ~ of(W,X5,X4)
                      | ~ man(W,X4)
                      | ~ be(W,X1,X4,X4)
                      | ~ event(X2,X3)
                      | ~ agent(X2,X3,X4)
                      | ~ present(X2,X3)
                      | ~ smoke(X2,X3)
                      | ~ state(W,X1)
                      | ~ agent(W,X,Z)
                      | ~ man(W,Z)
                      | ~ of(W,Y,Z)
                      | ~ vincent_forename(W,Y)
                      | ~ forename(W,Y)
                      | ~ think_believe_consider(W,X)
                      | ~ present(W,X)
                      | ~ event(W,X)
                      | ~ theme(W,X,U)
                      | ~ proposition(W,U)
                      | ~ accessible_world(W,U)
                      | ~ event(U,V)
                      | ~ agent(U,V,skf4(U))
                      | ~ present(U,V)
                      | ~ smoke(U,V) ) )),
                  ( ( ~ smoke(U,V)
                    | ~ present(U,V)
                    | ~ agent(U,V,skf4(U))
                    | ~ event(U,V)
                    | ~ accessible_world(W,U)
                    | ~ proposition(W,U)
                    | ~ theme(W,X,U)
                    | ~ event(W,X)
                    | ~ present(W,X)
                    | ~ think_believe_consider(W,X)
                    | ~ forename(W,Y)
                    | ~ vincent_forename(W,Y)
                    | ~ of(W,Y,Z)
                    | ~ man(W,Z)
                    | ~ agent(W,X,Z)
                    | ~ state(W,X1)
                    | ~ smoke(X2,X3)
                    | ~ present(X2,X3)
                    | ~ agent(X2,X3,X4)
                    | ~ event(X2,X3)
                    | ~ be(W,X1,X4,X4)
                    | ~ man(W,X4)
                    | ~ of(W,X5,X4)
                    | ~ jules_forename(W,X5)
                    | ~ forename(W,X5)
                    | ~ proposition(W,X2)
                    | ~ accessible_world(W,X2)
                    | ~ think_believe_consider(W,X6)
                    | ~ present(W,X6)
                    | ~ event(W,X6)
                    | ~ theme(W,X6,X2)
                    | ~ vincent_forename(W,X7)
                    | ~ forename(W,X7)
                    | ~ agent(W,X6,X8)
                    | ~ man(W,X8) )
                <=> ( ~ agent(W,X6,X8)
                    | ~ forename(W,X7)
                    | ~ vincent_forename(W,X7)
                    | ~ theme(W,X6,X2)
                    | ~ event(W,X6)
                    | ~ present(W,X6)
                    | ~ think_believe_consider(W,X6)
                    | ~ accessible_world(W,X2)
                    | ~ proposition(W,X2)
                    | ~ forename(W,X5)
                    | ~ jules_forename(W,X5)
                    | ~ of(W,X5,X4)
                    | ~ man(W,X4)
                    | ~ be(W,X1,X4,X4)
                    | ~ event(X2,X3)
                    | ~ agent(X2,X3,X4)
                    | ~ present(X2,X3)
                    | ~ smoke(X2,X3)
                    | ~ state(W,X1)
                    | ~ agent(W,X,Z)
                    | ~ man(W,Z)
                    | ~ of(W,Y,Z)
                    | ~ vincent_forename(W,Y)
                    | ~ forename(W,Y)
                    | ~ think_believe_consider(W,X)
                    | ~ present(W,X)
                    | ~ event(W,X)
                    | ~ theme(W,X,U)
                    | ~ proposition(W,U)
                    | ~ accessible_world(W,U)
                    | ~ event(U,V)
                    | ~ agent(U,V,skf4(U))
                    | ~ present(U,V)
                    | ~ smoke(U,V)
                    | ~ man(W,X8) ) )),
                rewrite(
                  ( ( ~ agent(W,X6,X8)
                    | ~ forename(W,X7)
                    | ~ vincent_forename(W,X7)
                    | ~ theme(W,X6,X2)
                    | ~ event(W,X6)
                    | ~ present(W,X6)
                    | ~ think_believe_consider(W,X6)
                    | ~ accessible_world(W,X2)
                    | ~ proposition(W,X2)
                    | ~ forename(W,X5)
                    | ~ jules_forename(W,X5)
                    | ~ of(W,X5,X4)
                    | ~ man(W,X4)
                    | ~ be(W,X1,X4,X4)
                    | ~ event(X2,X3)
                    | ~ agent(X2,X3,X4)
                    | ~ present(X2,X3)
                    | ~ smoke(X2,X3)
                    | ~ state(W,X1)
                    | ~ agent(W,X,Z)
                    | ~ man(W,Z)
                    | ~ of(W,Y,Z)
                    | ~ vincent_forename(W,Y)
                    | ~ forename(W,Y)
                    | ~ think_believe_consider(W,X)
                    | ~ present(W,X)
                    | ~ event(W,X)
                    | ~ theme(W,X,U)
                    | ~ proposition(W,U)
                    | ~ accessible_world(W,U)
                    | ~ event(U,V)
                    | ~ agent(U,V,skf4(U))
                    | ~ present(U,V)
                    | ~ smoke(U,V)
                    | ~ man(W,X8) )
                <=> ( ~ man(W,X8)
                    | ~ agent(W,X6,X8)
                    | ~ forename(W,X7)
                    | ~ vincent_forename(W,X7)
                    | ~ theme(W,X6,X2)
                    | ~ event(W,X6)
                    | ~ present(W,X6)
                    | ~ think_believe_consider(W,X6)
                    | ~ accessible_world(W,X2)
                    | ~ proposition(W,X2)
                    | ~ forename(W,X5)
                    | ~ jules_forename(W,X5)
                    | ~ of(W,X5,X4)
                    | ~ man(W,X4)
                    | ~ be(W,X1,X4,X4)
                    | ~ event(X2,X3)
                    | ~ agent(X2,X3,X4)
                    | ~ present(X2,X3)
                    | ~ smoke(X2,X3)
                    | ~ state(W,X1)
                    | ~ agent(W,X,Z)
                    | ~ man(W,Z)
                    | ~ of(W,Y,Z)
                    | ~ vincent_forename(W,Y)
                    | ~ forename(W,Y)
                    | ~ think_believe_consider(W,X)
                    | ~ present(W,X)
                    | ~ event(W,X)
                    | ~ theme(W,X,U)
                    | ~ proposition(W,U)
                    | ~ accessible_world(W,U)
                    | ~ event(U,V)
                    | ~ agent(U,V,skf4(U))
                    | ~ present(U,V)
                    | ~ smoke(U,V) ) )),
                ( ( ~ smoke(U,V)
                  | ~ present(U,V)
                  | ~ agent(U,V,skf4(U))
                  | ~ event(U,V)
                  | ~ accessible_world(W,U)
                  | ~ proposition(W,U)
                  | ~ theme(W,X,U)
                  | ~ event(W,X)
                  | ~ present(W,X)
                  | ~ think_believe_consider(W,X)
                  | ~ forename(W,Y)
                  | ~ vincent_forename(W,Y)
                  | ~ of(W,Y,Z)
                  | ~ man(W,Z)
                  | ~ agent(W,X,Z)
                  | ~ state(W,X1)
                  | ~ smoke(X2,X3)
                  | ~ present(X2,X3)
                  | ~ agent(X2,X3,X4)
                  | ~ event(X2,X3)
                  | ~ be(W,X1,X4,X4)
                  | ~ man(W,X4)
                  | ~ of(W,X5,X4)
                  | ~ jules_forename(W,X5)
                  | ~ forename(W,X5)
                  | ~ proposition(W,X2)
                  | ~ accessible_world(W,X2)
                  | ~ think_believe_consider(W,X6)
                  | ~ present(W,X6)
                  | ~ event(W,X6)
                  | ~ theme(W,X6,X2)
                  | ~ vincent_forename(W,X7)
                  | ~ forename(W,X7)
                  | ~ agent(W,X6,X8)
                  | ~ man(W,X8) )
              <=> ( ~ man(W,X8)
                  | ~ agent(W,X6,X8)
                  | ~ forename(W,X7)
                  | ~ vincent_forename(W,X7)
                  | ~ theme(W,X6,X2)
                  | ~ event(W,X6)
                  | ~ present(W,X6)
                  | ~ think_believe_consider(W,X6)
                  | ~ accessible_world(W,X2)
                  | ~ proposition(W,X2)
                  | ~ forename(W,X5)
                  | ~ jules_forename(W,X5)
                  | ~ of(W,X5,X4)
                  | ~ man(W,X4)
                  | ~ be(W,X1,X4,X4)
                  | ~ event(X2,X3)
                  | ~ agent(X2,X3,X4)
                  | ~ present(X2,X3)
                  | ~ smoke(X2,X3)
                  | ~ state(W,X1)
                  | ~ agent(W,X,Z)
                  | ~ man(W,Z)
                  | ~ of(W,Y,Z)
                  | ~ vincent_forename(W,Y)
                  | ~ forename(W,Y)
                  | ~ think_believe_consider(W,X)
                  | ~ present(W,X)
                  | ~ event(W,X)
                  | ~ theme(W,X,U)
                  | ~ proposition(W,U)
                  | ~ accessible_world(W,U)
                  | ~ event(U,V)
                  | ~ agent(U,V,skf4(U))
                  | ~ present(U,V)
                  | ~ smoke(U,V) ) )),
              ( ( ~ smoke(U,V)
                | ~ present(U,V)
                | ~ agent(U,V,skf4(U))
                | ~ event(U,V)
                | ~ accessible_world(W,U)
                | ~ proposition(W,U)
                | ~ theme(W,X,U)
                | ~ event(W,X)
                | ~ present(W,X)
                | ~ think_believe_consider(W,X)
                | ~ forename(W,Y)
                | ~ vincent_forename(W,Y)
                | ~ of(W,Y,Z)
                | ~ man(W,Z)
                | ~ agent(W,X,Z)
                | ~ state(W,X1)
                | ~ smoke(X2,X3)
                | ~ present(X2,X3)
                | ~ agent(X2,X3,X4)
                | ~ event(X2,X3)
                | ~ be(W,X1,X4,X4)
                | ~ man(W,X4)
                | ~ of(W,X5,X4)
                | ~ jules_forename(W,X5)
                | ~ forename(W,X5)
                | ~ proposition(W,X2)
                | ~ accessible_world(W,X2)
                | ~ think_believe_consider(W,X6)
                | ~ present(W,X6)
                | ~ event(W,X6)
                | ~ theme(W,X6,X2)
                | ~ vincent_forename(W,X7)
                | ~ forename(W,X7)
                | ~ agent(W,X6,X8)
                | ~ man(W,X8)
                | ~ of(W,X7,X8) )
            <=> ( ~ man(W,X8)
                | ~ agent(W,X6,X8)
                | ~ forename(W,X7)
                | ~ vincent_forename(W,X7)
                | ~ theme(W,X6,X2)
                | ~ event(W,X6)
                | ~ present(W,X6)
                | ~ think_believe_consider(W,X6)
                | ~ accessible_world(W,X2)
                | ~ proposition(W,X2)
                | ~ forename(W,X5)
                | ~ jules_forename(W,X5)
                | ~ of(W,X5,X4)
                | ~ man(W,X4)
                | ~ be(W,X1,X4,X4)
                | ~ event(X2,X3)
                | ~ agent(X2,X3,X4)
                | ~ present(X2,X3)
                | ~ smoke(X2,X3)
                | ~ state(W,X1)
                | ~ agent(W,X,Z)
                | ~ man(W,Z)
                | ~ of(W,Y,Z)
                | ~ vincent_forename(W,Y)
                | ~ forename(W,Y)
                | ~ think_believe_consider(W,X)
                | ~ present(W,X)
                | ~ event(W,X)
                | ~ theme(W,X,U)
                | ~ proposition(W,U)
                | ~ accessible_world(W,U)
                | ~ event(U,V)
                | ~ agent(U,V,skf4(U))
                | ~ present(U,V)
                | ~ smoke(U,V)
                | ~ of(W,X7,X8) ) )),
            rewrite(
              ( ( ~ man(W,X8)
                | ~ agent(W,X6,X8)
                | ~ forename(W,X7)
                | ~ vincent_forename(W,X7)
                | ~ theme(W,X6,X2)
                | ~ event(W,X6)
                | ~ present(W,X6)
                | ~ think_believe_consider(W,X6)
                | ~ accessible_world(W,X2)
                | ~ proposition(W,X2)
                | ~ forename(W,X5)
                | ~ jules_forename(W,X5)
                | ~ of(W,X5,X4)
                | ~ man(W,X4)
                | ~ be(W,X1,X4,X4)
                | ~ event(X2,X3)
                | ~ agent(X2,X3,X4)
                | ~ present(X2,X3)
                | ~ smoke(X2,X3)
                | ~ state(W,X1)
                | ~ agent(W,X,Z)
                | ~ man(W,Z)
                | ~ of(W,Y,Z)
                | ~ vincent_forename(W,Y)
                | ~ forename(W,Y)
                | ~ think_believe_consider(W,X)
                | ~ present(W,X)
                | ~ event(W,X)
                | ~ theme(W,X,U)
                | ~ proposition(W,U)
                | ~ accessible_world(W,U)
                | ~ event(U,V)
                | ~ agent(U,V,skf4(U))
                | ~ present(U,V)
                | ~ smoke(U,V)
                | ~ of(W,X7,X8) )
            <=> ( ~ of(W,X7,X8)
                | ~ man(W,X8)
                | ~ agent(W,X6,X8)
                | ~ forename(W,X7)
                | ~ vincent_forename(W,X7)
                | ~ theme(W,X6,X2)
                | ~ event(W,X6)
                | ~ present(W,X6)
                | ~ think_believe_consider(W,X6)
                | ~ accessible_world(W,X2)
                | ~ proposition(W,X2)
                | ~ forename(W,X5)
                | ~ jules_forename(W,X5)
                | ~ of(W,X5,X4)
                | ~ man(W,X4)
                | ~ be(W,X1,X4,X4)
                | ~ event(X2,X3)
                | ~ agent(X2,X3,X4)
                | ~ present(X2,X3)
                | ~ smoke(X2,X3)
                | ~ state(W,X1)
                | ~ agent(W,X,Z)
                | ~ man(W,Z)
                | ~ of(W,Y,Z)
                | ~ vincent_forename(W,Y)
                | ~ forename(W,Y)
                | ~ think_believe_consider(W,X)
                | ~ present(W,X)
                | ~ event(W,X)
                | ~ theme(W,X,U)
                | ~ proposition(W,U)
                | ~ accessible_world(W,U)
                | ~ event(U,V)
                | ~ agent(U,V,skf4(U))
                | ~ present(U,V)
                | ~ smoke(U,V) ) )),
            ( ( ~ smoke(U,V)
              | ~ present(U,V)
              | ~ agent(U,V,skf4(U))
              | ~ event(U,V)
              | ~ accessible_world(W,U)
              | ~ proposition(W,U)
              | ~ theme(W,X,U)
              | ~ event(W,X)
              | ~ present(W,X)
              | ~ think_believe_consider(W,X)
              | ~ forename(W,Y)
              | ~ vincent_forename(W,Y)
              | ~ of(W,Y,Z)
              | ~ man(W,Z)
              | ~ agent(W,X,Z)
              | ~ state(W,X1)
              | ~ smoke(X2,X3)
              | ~ present(X2,X3)
              | ~ agent(X2,X3,X4)
              | ~ event(X2,X3)
              | ~ be(W,X1,X4,X4)
              | ~ man(W,X4)
              | ~ of(W,X5,X4)
              | ~ jules_forename(W,X5)
              | ~ forename(W,X5)
              | ~ proposition(W,X2)
              | ~ accessible_world(W,X2)
              | ~ think_believe_consider(W,X6)
              | ~ present(W,X6)
              | ~ event(W,X6)
              | ~ theme(W,X6,X2)
              | ~ vincent_forename(W,X7)
              | ~ forename(W,X7)
              | ~ agent(W,X6,X8)
              | ~ man(W,X8)
              | ~ of(W,X7,X8) )
          <=> ( ~ of(W,X7,X8)
              | ~ man(W,X8)
              | ~ agent(W,X6,X8)
              | ~ forename(W,X7)
              | ~ vincent_forename(W,X7)
              | ~ theme(W,X6,X2)
              | ~ event(W,X6)
              | ~ present(W,X6)
              | ~ think_believe_consider(W,X6)
              | ~ accessible_world(W,X2)
              | ~ proposition(W,X2)
              | ~ forename(W,X5)
              | ~ jules_forename(W,X5)
              | ~ of(W,X5,X4)
              | ~ man(W,X4)
              | ~ be(W,X1,X4,X4)
              | ~ event(X2,X3)
              | ~ agent(X2,X3,X4)
              | ~ present(X2,X3)
              | ~ smoke(X2,X3)
              | ~ state(W,X1)
              | ~ agent(W,X,Z)
              | ~ man(W,Z)
              | ~ of(W,Y,Z)
              | ~ vincent_forename(W,Y)
              | ~ forename(W,Y)
              | ~ think_believe_consider(W,X)
              | ~ present(W,X)
              | ~ event(W,X)
              | ~ theme(W,X,U)
              | ~ proposition(W,U)
              | ~ accessible_world(W,U)
              | ~ event(U,V)
              | ~ agent(U,V,skf4(U))
              | ~ present(U,V)
              | ~ smoke(U,V) ) )),
          ( ( ~ smoke(U,V)
            | ~ present(U,V)
            | ~ agent(U,V,skf4(U))
            | ~ event(U,V)
            | ~ accessible_world(W,U)
            | ~ proposition(W,U)
            | ~ theme(W,X,U)
            | ~ event(W,X)
            | ~ present(W,X)
            | ~ think_believe_consider(W,X)
            | ~ forename(W,Y)
            | ~ vincent_forename(W,Y)
            | ~ of(W,Y,Z)
            | ~ man(W,Z)
            | ~ agent(W,X,Z)
            | ~ state(W,X1)
            | ~ smoke(X2,X3)
            | ~ present(X2,X3)
            | ~ agent(X2,X3,X4)
            | ~ event(X2,X3)
            | ~ be(W,X1,X4,X4)
            | ~ man(W,X4)
            | ~ of(W,X5,X4)
            | ~ jules_forename(W,X5)
            | ~ forename(W,X5)
            | ~ proposition(W,X2)
            | ~ accessible_world(W,X2)
            | ~ think_believe_consider(W,X6)
            | ~ present(W,X6)
            | ~ event(W,X6)
            | ~ theme(W,X6,X2)
            | ~ vincent_forename(W,X7)
            | ~ forename(W,X7)
            | ~ agent(W,X6,X8)
            | ~ man(W,X8)
            | ~ of(W,X7,X8)
            | ~ actual_world(W) )
        <=> ( ~ of(W,X7,X8)
            | ~ man(W,X8)
            | ~ agent(W,X6,X8)
            | ~ forename(W,X7)
            | ~ vincent_forename(W,X7)
            | ~ theme(W,X6,X2)
            | ~ event(W,X6)
            | ~ present(W,X6)
            | ~ think_believe_consider(W,X6)
            | ~ accessible_world(W,X2)
            | ~ proposition(W,X2)
            | ~ forename(W,X5)
            | ~ jules_forename(W,X5)
            | ~ of(W,X5,X4)
            | ~ man(W,X4)
            | ~ be(W,X1,X4,X4)
            | ~ event(X2,X3)
            | ~ agent(X2,X3,X4)
            | ~ present(X2,X3)
            | ~ smoke(X2,X3)
            | ~ state(W,X1)
            | ~ agent(W,X,Z)
            | ~ man(W,Z)
            | ~ of(W,Y,Z)
            | ~ vincent_forename(W,Y)
            | ~ forename(W,Y)
            | ~ think_believe_consider(W,X)
            | ~ present(W,X)
            | ~ event(W,X)
            | ~ theme(W,X,U)
            | ~ proposition(W,U)
            | ~ accessible_world(W,U)
            | ~ event(U,V)
            | ~ agent(U,V,skf4(U))
            | ~ present(U,V)
            | ~ smoke(U,V)
            | ~ actual_world(W) ) )),
        rewrite(
          ( ( ~ of(W,X7,X8)
            | ~ man(W,X8)
            | ~ agent(W,X6,X8)
            | ~ forename(W,X7)
            | ~ vincent_forename(W,X7)
            | ~ theme(W,X6,X2)
            | ~ event(W,X6)
            | ~ present(W,X6)
            | ~ think_believe_consider(W,X6)
            | ~ accessible_world(W,X2)
            | ~ proposition(W,X2)
            | ~ forename(W,X5)
            | ~ jules_forename(W,X5)
            | ~ of(W,X5,X4)
            | ~ man(W,X4)
            | ~ be(W,X1,X4,X4)
            | ~ event(X2,X3)
            | ~ agent(X2,X3,X4)
            | ~ present(X2,X3)
            | ~ smoke(X2,X3)
            | ~ state(W,X1)
            | ~ agent(W,X,Z)
            | ~ man(W,Z)
            | ~ of(W,Y,Z)
            | ~ vincent_forename(W,Y)
            | ~ forename(W,Y)
            | ~ think_believe_consider(W,X)
            | ~ present(W,X)
            | ~ event(W,X)
            | ~ theme(W,X,U)
            | ~ proposition(W,U)
            | ~ accessible_world(W,U)
            | ~ event(U,V)
            | ~ agent(U,V,skf4(U))
            | ~ present(U,V)
            | ~ smoke(U,V)
            | ~ actual_world(W) )
        <=> ( ~ actual_world(W)
            | ~ of(W,X7,X8)
            | ~ man(W,X8)
            | ~ agent(W,X6,X8)
            | ~ forename(W,X7)
            | ~ vincent_forename(W,X7)
            | ~ theme(W,X6,X2)
            | ~ event(W,X6)
            | ~ present(W,X6)
            | ~ think_believe_consider(W,X6)
            | ~ accessible_world(W,X2)
            | ~ proposition(W,X2)
            | ~ forename(W,X5)
            | ~ jules_forename(W,X5)
            | ~ of(W,X5,X4)
            | ~ man(W,X4)
            | ~ be(W,X1,X4,X4)
            | ~ event(X2,X3)
            | ~ agent(X2,X3,X4)
            | ~ present(X2,X3)
            | ~ smoke(X2,X3)
            | ~ state(W,X1)
            | ~ agent(W,X,Z)
            | ~ man(W,Z)
            | ~ of(W,Y,Z)
            | ~ vincent_forename(W,Y)
            | ~ forename(W,Y)
            | ~ think_believe_consider(W,X)
            | ~ present(W,X)
            | ~ event(W,X)
            | ~ theme(W,X,U)
            | ~ proposition(W,U)
            | ~ accessible_world(W,U)
            | ~ event(U,V)
            | ~ agent(U,V,skf4(U))
            | ~ present(U,V)
            | ~ smoke(U,V) ) )),
        ( ( ~ smoke(U,V)
          | ~ present(U,V)
          | ~ agent(U,V,skf4(U))
          | ~ event(U,V)
          | ~ accessible_world(W,U)
          | ~ proposition(W,U)
          | ~ theme(W,X,U)
          | ~ event(W,X)
          | ~ present(W,X)
          | ~ think_believe_consider(W,X)
          | ~ forename(W,Y)
          | ~ vincent_forename(W,Y)
          | ~ of(W,Y,Z)
          | ~ man(W,Z)
          | ~ agent(W,X,Z)
          | ~ state(W,X1)
          | ~ smoke(X2,X3)
          | ~ present(X2,X3)
          | ~ agent(X2,X3,X4)
          | ~ event(X2,X3)
          | ~ be(W,X1,X4,X4)
          | ~ man(W,X4)
          | ~ of(W,X5,X4)
          | ~ jules_forename(W,X5)
          | ~ forename(W,X5)
          | ~ proposition(W,X2)
          | ~ accessible_world(W,X2)
          | ~ think_believe_consider(W,X6)
          | ~ present(W,X6)
          | ~ event(W,X6)
          | ~ theme(W,X6,X2)
          | ~ vincent_forename(W,X7)
          | ~ forename(W,X7)
          | ~ agent(W,X6,X8)
          | ~ man(W,X8)
          | ~ of(W,X7,X8)
          | ~ actual_world(W) )
      <=> ( ~ actual_world(W)
          | ~ of(W,X7,X8)
          | ~ man(W,X8)
          | ~ agent(W,X6,X8)
          | ~ forename(W,X7)
          | ~ vincent_forename(W,X7)
          | ~ theme(W,X6,X2)
          | ~ event(W,X6)
          | ~ present(W,X6)
          | ~ think_believe_consider(W,X6)
          | ~ accessible_world(W,X2)
          | ~ proposition(W,X2)
          | ~ forename(W,X5)
          | ~ jules_forename(W,X5)
          | ~ of(W,X5,X4)
          | ~ man(W,X4)
          | ~ be(W,X1,X4,X4)
          | ~ event(X2,X3)
          | ~ agent(X2,X3,X4)
          | ~ present(X2,X3)
          | ~ smoke(X2,X3)
          | ~ state(W,X1)
          | ~ agent(W,X,Z)
          | ~ man(W,Z)
          | ~ of(W,Y,Z)
          | ~ vincent_forename(W,Y)
          | ~ forename(W,Y)
          | ~ think_believe_consider(W,X)
          | ~ present(W,X)
          | ~ event(W,X)
          | ~ theme(W,X,U)
          | ~ proposition(W,U)
          | ~ accessible_world(W,U)
          | ~ event(U,V)
          | ~ agent(U,V,skf4(U))
          | ~ present(U,V)
          | ~ smoke(U,V) ) )),
    inference(bind,[status(th)],]) ).

tff(161,plain,
    ( ! [W: $i,V: $i,Z: $i,Y: $i,X6: $i,X4: $i,X3: $i,U: $i,X: $i,X2: $i,X7: $i,X5: $i,X8: $i,X1: $i] :
        ( ~ smoke(U,V)
        | ~ present(U,V)
        | ~ agent(U,V,skf4(U))
        | ~ event(U,V)
        | ~ accessible_world(W,U)
        | ~ proposition(W,U)
        | ~ theme(W,X,U)
        | ~ event(W,X)
        | ~ present(W,X)
        | ~ think_believe_consider(W,X)
        | ~ forename(W,Y)
        | ~ vincent_forename(W,Y)
        | ~ of(W,Y,Z)
        | ~ man(W,Z)
        | ~ agent(W,X,Z)
        | ~ state(W,X1)
        | ~ smoke(X2,X3)
        | ~ present(X2,X3)
        | ~ agent(X2,X3,X4)
        | ~ event(X2,X3)
        | ~ be(W,X1,X4,X4)
        | ~ man(W,X4)
        | ~ of(W,X5,X4)
        | ~ jules_forename(W,X5)
        | ~ forename(W,X5)
        | ~ proposition(W,X2)
        | ~ accessible_world(W,X2)
        | ~ think_believe_consider(W,X6)
        | ~ present(W,X6)
        | ~ event(W,X6)
        | ~ theme(W,X6,X2)
        | ~ vincent_forename(W,X7)
        | ~ forename(W,X7)
        | ~ agent(W,X6,X8)
        | ~ man(W,X8)
        | ~ of(W,X7,X8)
        | ~ actual_world(W) )
  <=> ! [W: $i,V: $i,Z: $i,Y: $i,X6: $i,X4: $i,X3: $i,U: $i,X: $i,X2: $i,X7: $i,X5: $i,X8: $i,X1: $i] :
        ( ~ actual_world(W)
        | ~ of(W,X7,X8)
        | ~ man(W,X8)
        | ~ agent(W,X6,X8)
        | ~ forename(W,X7)
        | ~ vincent_forename(W,X7)
        | ~ theme(W,X6,X2)
        | ~ event(W,X6)
        | ~ present(W,X6)
        | ~ think_believe_consider(W,X6)
        | ~ accessible_world(W,X2)
        | ~ proposition(W,X2)
        | ~ forename(W,X5)
        | ~ jules_forename(W,X5)
        | ~ of(W,X5,X4)
        | ~ man(W,X4)
        | ~ be(W,X1,X4,X4)
        | ~ event(X2,X3)
        | ~ agent(X2,X3,X4)
        | ~ present(X2,X3)
        | ~ smoke(X2,X3)
        | ~ state(W,X1)
        | ~ agent(W,X,Z)
        | ~ man(W,Z)
        | ~ of(W,Y,Z)
        | ~ vincent_forename(W,Y)
        | ~ forename(W,Y)
        | ~ think_believe_consider(W,X)
        | ~ present(W,X)
        | ~ event(W,X)
        | ~ theme(W,X,U)
        | ~ proposition(W,U)
        | ~ accessible_world(W,U)
        | ~ event(U,V)
        | ~ agent(U,V,skf4(U))
        | ~ present(U,V)
        | ~ smoke(U,V) ) ),
    inference(quant_intro,[status(thm)],[160]) ).

tff(162,axiom,
    ! [W: $i,V: $i,Z: $i,Y: $i,X6: $i,X4: $i,X3: $i,U: $i,X: $i,X2: $i,X7: $i,X5: $i,X8: $i,X1: $i] :
      ( ~ smoke(U,V)
      | ~ present(U,V)
      | ~ agent(U,V,skf4(U))
      | ~ event(U,V)
      | ~ accessible_world(W,U)
      | ~ proposition(W,U)
      | ~ theme(W,X,U)
      | ~ event(W,X)
      | ~ present(W,X)
      | ~ think_believe_consider(W,X)
      | ~ forename(W,Y)
      | ~ vincent_forename(W,Y)
      | ~ of(W,Y,Z)
      | ~ man(W,Z)
      | ~ agent(W,X,Z)
      | ~ state(W,X1)
      | ~ smoke(X2,X3)
      | ~ present(X2,X3)
      | ~ agent(X2,X3,X4)
      | ~ event(X2,X3)
      | ~ be(W,X1,X4,X4)
      | ~ man(W,X4)
      | ~ of(W,X5,X4)
      | ~ jules_forename(W,X5)
      | ~ forename(W,X5)
      | ~ proposition(W,X2)
      | ~ accessible_world(W,X2)
      | ~ think_believe_consider(W,X6)
      | ~ present(W,X6)
      | ~ event(W,X6)
      | ~ theme(W,X6,X2)
      | ~ vincent_forename(W,X7)
      | ~ forename(W,X7)
      | ~ agent(W,X6,X8)
      | ~ man(W,X8)
      | ~ of(W,X7,X8)
      | ~ actual_world(W) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause95) ).

tff(163,plain,
    ! [W: $i,V: $i,Z: $i,Y: $i,X6: $i,X4: $i,X3: $i,U: $i,X: $i,X2: $i,X7: $i,X5: $i,X8: $i,X1: $i] :
      ( ~ actual_world(W)
      | ~ of(W,X7,X8)
      | ~ man(W,X8)
      | ~ agent(W,X6,X8)
      | ~ forename(W,X7)
      | ~ vincent_forename(W,X7)
      | ~ theme(W,X6,X2)
      | ~ event(W,X6)
      | ~ present(W,X6)
      | ~ think_believe_consider(W,X6)
      | ~ accessible_world(W,X2)
      | ~ proposition(W,X2)
      | ~ forename(W,X5)
      | ~ jules_forename(W,X5)
      | ~ of(W,X5,X4)
      | ~ man(W,X4)
      | ~ be(W,X1,X4,X4)
      | ~ event(X2,X3)
      | ~ agent(X2,X3,X4)
      | ~ present(X2,X3)
      | ~ smoke(X2,X3)
      | ~ state(W,X1)
      | ~ agent(W,X,Z)
      | ~ man(W,Z)
      | ~ of(W,Y,Z)
      | ~ vincent_forename(W,Y)
      | ~ forename(W,Y)
      | ~ think_believe_consider(W,X)
      | ~ present(W,X)
      | ~ event(W,X)
      | ~ theme(W,X,U)
      | ~ proposition(W,U)
      | ~ accessible_world(W,U)
      | ~ event(U,V)
      | ~ agent(U,V,skf4(U))
      | ~ present(U,V)
      | ~ smoke(U,V) ),
    inference(modus_ponens,[status(thm)],[162,161]) ).

tff(164,plain,
    ! [W: $i,V: $i,Z: $i,Y: $i,X6: $i,X4: $i,X3: $i,U: $i,X: $i,X2: $i,X7: $i,X5: $i,X8: $i,X1: $i] :
      ( ~ actual_world(W)
      | ~ of(W,X7,X8)
      | ~ man(W,X8)
      | ~ agent(W,X6,X8)
      | ~ forename(W,X7)
      | ~ vincent_forename(W,X7)
      | ~ theme(W,X6,X2)
      | ~ event(W,X6)
      | ~ present(W,X6)
      | ~ think_believe_consider(W,X6)
      | ~ accessible_world(W,X2)
      | ~ proposition(W,X2)
      | ~ forename(W,X5)
      | ~ jules_forename(W,X5)
      | ~ of(W,X5,X4)
      | ~ man(W,X4)
      | ~ be(W,X1,X4,X4)
      | ~ event(X2,X3)
      | ~ agent(X2,X3,X4)
      | ~ present(X2,X3)
      | ~ smoke(X2,X3)
      | ~ state(W,X1)
      | ~ agent(W,X,Z)
      | ~ man(W,Z)
      | ~ of(W,Y,Z)
      | ~ vincent_forename(W,Y)
      | ~ forename(W,Y)
      | ~ think_believe_consider(W,X)
      | ~ present(W,X)
      | ~ event(W,X)
      | ~ theme(W,X,U)
      | ~ proposition(W,U)
      | ~ accessible_world(W,U)
      | ~ event(U,V)
      | ~ agent(U,V,skf4(U))
      | ~ present(U,V)
      | ~ smoke(U,V) ),
    inference(modus_ponens,[status(thm)],[163,159]) ).

tff(165,plain,
    ! [W: $i,V: $i,Z: $i,Y: $i,X6: $i,X4: $i,X3: $i,U: $i,X: $i,X2: $i,X7: $i,X5: $i,X8: $i,X1: $i] :
      ( ~ actual_world(W)
      | ~ of(W,X7,X8)
      | ~ man(W,X8)
      | ~ agent(W,X6,X8)
      | ~ forename(W,X7)
      | ~ vincent_forename(W,X7)
      | ~ theme(W,X6,X2)
      | ~ event(W,X6)
      | ~ present(W,X6)
      | ~ think_believe_consider(W,X6)
      | ~ accessible_world(W,X2)
      | ~ proposition(W,X2)
      | ~ forename(W,X5)
      | ~ jules_forename(W,X5)
      | ~ of(W,X5,X4)
      | ~ man(W,X4)
      | ~ be(W,X1,X4,X4)
      | ~ event(X2,X3)
      | ~ agent(X2,X3,X4)
      | ~ present(X2,X3)
      | ~ smoke(X2,X3)
      | ~ state(W,X1)
      | ~ agent(W,X,Z)
      | ~ man(W,Z)
      | ~ of(W,Y,Z)
      | ~ vincent_forename(W,Y)
      | ~ forename(W,Y)
      | ~ think_believe_consider(W,X)
      | ~ present(W,X)
      | ~ event(W,X)
      | ~ theme(W,X,U)
      | ~ proposition(W,U)
      | ~ accessible_world(W,U)
      | ~ event(U,V)
      | ~ agent(U,V,skf4(U))
      | ~ present(U,V)
      | ~ smoke(U,V) ),
    inference(skolemize,[status(sab)],[164]) ).

tff(166,plain,
    ! [W: $i,V: $i,Z: $i,Y: $i,X6: $i,X4: $i,X3: $i,U: $i,X: $i,X2: $i,X7: $i,X5: $i,X8: $i,X1: $i] :
      ( ~ actual_world(W)
      | ~ of(W,X7,X8)
      | ~ man(W,X8)
      | ~ agent(W,X6,X8)
      | ~ forename(W,X7)
      | ~ vincent_forename(W,X7)
      | ~ theme(W,X6,X2)
      | ~ event(W,X6)
      | ~ present(W,X6)
      | ~ think_believe_consider(W,X6)
      | ~ accessible_world(W,X2)
      | ~ proposition(W,X2)
      | ~ forename(W,X5)
      | ~ jules_forename(W,X5)
      | ~ of(W,X5,X4)
      | ~ man(W,X4)
      | ~ be(W,X1,X4,X4)
      | ~ event(X2,X3)
      | ~ agent(X2,X3,X4)
      | ~ present(X2,X3)
      | ~ smoke(X2,X3)
      | ~ state(W,X1)
      | ~ agent(W,X,Z)
      | ~ man(W,Z)
      | ~ of(W,Y,Z)
      | ~ vincent_forename(W,Y)
      | ~ forename(W,Y)
      | ~ think_believe_consider(W,X)
      | ~ present(W,X)
      | ~ event(W,X)
      | ~ theme(W,X,U)
      | ~ proposition(W,U)
      | ~ accessible_world(W,U)
      | ~ event(U,V)
      | ~ agent(U,V,skf4(U))
      | ~ present(U,V)
      | ~ smoke(U,V) ),
    inference(modus_ponens,[status(thm)],[165,158]) ).

tff(167,plain,
    ( ( ~ ! [W: $i,V: $i,Z: $i,Y: $i,X6: $i,X4: $i,X3: $i,U: $i,X: $i,X2: $i,X7: $i,X5: $i,X8: $i,X1: $i] :
            ( ~ actual_world(W)
            | ~ of(W,X7,X8)
            | ~ man(W,X8)
            | ~ agent(W,X6,X8)
            | ~ forename(W,X7)
            | ~ vincent_forename(W,X7)
            | ~ theme(W,X6,X2)
            | ~ event(W,X6)
            | ~ present(W,X6)
            | ~ think_believe_consider(W,X6)
            | ~ accessible_world(W,X2)
            | ~ proposition(W,X2)
            | ~ forename(W,X5)
            | ~ jules_forename(W,X5)
            | ~ of(W,X5,X4)
            | ~ man(W,X4)
            | ~ be(W,X1,X4,X4)
            | ~ event(X2,X3)
            | ~ agent(X2,X3,X4)
            | ~ present(X2,X3)
            | ~ smoke(X2,X3)
            | ~ state(W,X1)
            | ~ agent(W,X,Z)
            | ~ man(W,Z)
            | ~ of(W,Y,Z)
            | ~ vincent_forename(W,Y)
            | ~ forename(W,Y)
            | ~ think_believe_consider(W,X)
            | ~ present(W,X)
            | ~ event(W,X)
            | ~ theme(W,X,U)
            | ~ proposition(W,U)
            | ~ accessible_world(W,U)
            | ~ event(U,V)
            | ~ agent(U,V,skf4(U))
            | ~ present(U,V)
            | ~ smoke(U,V) )
      | ~ event(skc8,skc13)
      | ~ proposition(skc8,skc12)
      | ~ state(skc8,skc9)
      | ~ man(skc8,skc15)
      | ~ man(skc8,skc10)
      | ~ forename(skc8,skc14)
      | ~ forename(skc8,skc11)
      | ~ accessible_world(skc8,skc12)
      | ~ vincent_forename(skc8,skc14)
      | ~ jules_forename(skc8,skc11)
      | ~ be(skc8,skc9,skc10,skc10)
      | ~ theme(skc8,skc13,skc12)
      | ~ think_believe_consider(skc8,skc13)
      | ~ of(skc8,skc11,skc10)
      | ~ agent(skc8,skc13,skc15)
      | ~ present(skc8,skc13)
      | ~ of(skc8,skc14,skc15)
      | ~ agent(skc12,skf2(skc10),skc10)
      | ~ actual_world(skc8)
      | ~ present(skc12,skf2(skc10))
      | ~ event(skc12,skf2(skc10))
      | ~ smoke(skc12,skf2(skc10))
      | ~ event(skc12,skf2(skf4(skc12)))
      | ~ agent(skc12,skf2(skf4(skc12)),skf4(skc12))
      | ~ present(skc12,skf2(skf4(skc12)))
      | ~ smoke(skc12,skf2(skf4(skc12))) )
  <=> ( ~ ! [W: $i,V: $i,Z: $i,Y: $i,X6: $i,X4: $i,X3: $i,U: $i,X: $i,X2: $i,X7: $i,X5: $i,X8: $i,X1: $i] :
            ( ~ actual_world(W)
            | ~ of(W,X7,X8)
            | ~ man(W,X8)
            | ~ agent(W,X6,X8)
            | ~ forename(W,X7)
            | ~ vincent_forename(W,X7)
            | ~ theme(W,X6,X2)
            | ~ event(W,X6)
            | ~ present(W,X6)
            | ~ think_believe_consider(W,X6)
            | ~ accessible_world(W,X2)
            | ~ proposition(W,X2)
            | ~ forename(W,X5)
            | ~ jules_forename(W,X5)
            | ~ of(W,X5,X4)
            | ~ man(W,X4)
            | ~ be(W,X1,X4,X4)
            | ~ event(X2,X3)
            | ~ agent(X2,X3,X4)
            | ~ present(X2,X3)
            | ~ smoke(X2,X3)
            | ~ state(W,X1)
            | ~ agent(W,X,Z)
            | ~ man(W,Z)
            | ~ of(W,Y,Z)
            | ~ vincent_forename(W,Y)
            | ~ forename(W,Y)
            | ~ think_believe_consider(W,X)
            | ~ present(W,X)
            | ~ event(W,X)
            | ~ theme(W,X,U)
            | ~ proposition(W,U)
            | ~ accessible_world(W,U)
            | ~ event(U,V)
            | ~ agent(U,V,skf4(U))
            | ~ present(U,V)
            | ~ smoke(U,V) )
      | ~ event(skc8,skc13)
      | ~ proposition(skc8,skc12)
      | ~ state(skc8,skc9)
      | ~ man(skc8,skc15)
      | ~ man(skc8,skc10)
      | ~ forename(skc8,skc14)
      | ~ forename(skc8,skc11)
      | ~ accessible_world(skc8,skc12)
      | ~ vincent_forename(skc8,skc14)
      | ~ jules_forename(skc8,skc11)
      | ~ be(skc8,skc9,skc10,skc10)
      | ~ theme(skc8,skc13,skc12)
      | ~ think_believe_consider(skc8,skc13)
      | ~ of(skc8,skc11,skc10)
      | ~ agent(skc8,skc13,skc15)
      | ~ present(skc8,skc13)
      | ~ of(skc8,skc14,skc15)
      | ~ agent(skc12,skf2(skc10),skc10)
      | ~ actual_world(skc8)
      | ~ present(skc12,skf2(skc10))
      | ~ event(skc12,skf2(skc10))
      | ~ smoke(skc12,skf2(skc10))
      | ~ event(skc12,skf2(skf4(skc12)))
      | ~ agent(skc12,skf2(skf4(skc12)),skf4(skc12))
      | ~ present(skc12,skf2(skf4(skc12)))
      | ~ smoke(skc12,skf2(skf4(skc12))) ) ),
    inference(rewrite,[status(thm)],]) ).

tff(168,plain,
    ( ( ~ actual_world(skc8)
      | ~ of(skc8,skc14,skc15)
      | ~ man(skc8,skc15)
      | ~ agent(skc8,skc13,skc15)
      | ~ forename(skc8,skc14)
      | ~ vincent_forename(skc8,skc14)
      | ~ theme(skc8,skc13,skc12)
      | ~ event(skc8,skc13)
      | ~ present(skc8,skc13)
      | ~ think_believe_consider(skc8,skc13)
      | ~ accessible_world(skc8,skc12)
      | ~ proposition(skc8,skc12)
      | ~ forename(skc8,skc11)
      | ~ jules_forename(skc8,skc11)
      | ~ of(skc8,skc11,skc10)
      | ~ man(skc8,skc10)
      | ~ be(skc8,skc9,skc10,skc10)
      | ~ event(skc12,skf2(skc10))
      | ~ agent(skc12,skf2(skc10),skc10)
      | ~ present(skc12,skf2(skc10))
      | ~ smoke(skc12,skf2(skc10))
      | ~ state(skc8,skc9)
      | ~ agent(skc8,skc13,skc15)
      | ~ man(skc8,skc15)
      | ~ of(skc8,skc14,skc15)
      | ~ vincent_forename(skc8,skc14)
      | ~ forename(skc8,skc14)
      | ~ think_believe_consider(skc8,skc13)
      | ~ present(skc8,skc13)
      | ~ event(skc8,skc13)
      | ~ theme(skc8,skc13,skc12)
      | ~ proposition(skc8,skc12)
      | ~ accessible_world(skc8,skc12)
      | ~ event(skc12,skf2(skf4(skc12)))
      | ~ agent(skc12,skf2(skf4(skc12)),skf4(skc12))
      | ~ present(skc12,skf2(skf4(skc12)))
      | ~ smoke(skc12,skf2(skf4(skc12))) )
  <=> ( ~ event(skc8,skc13)
      | ~ proposition(skc8,skc12)
      | ~ state(skc8,skc9)
      | ~ man(skc8,skc15)
      | ~ man(skc8,skc10)
      | ~ forename(skc8,skc14)
      | ~ forename(skc8,skc11)
      | ~ accessible_world(skc8,skc12)
      | ~ vincent_forename(skc8,skc14)
      | ~ jules_forename(skc8,skc11)
      | ~ be(skc8,skc9,skc10,skc10)
      | ~ theme(skc8,skc13,skc12)
      | ~ think_believe_consider(skc8,skc13)
      | ~ of(skc8,skc11,skc10)
      | ~ agent(skc8,skc13,skc15)
      | ~ present(skc8,skc13)
      | ~ of(skc8,skc14,skc15)
      | ~ agent(skc12,skf2(skc10),skc10)
      | ~ actual_world(skc8)
      | ~ present(skc12,skf2(skc10))
      | ~ event(skc12,skf2(skc10))
      | ~ smoke(skc12,skf2(skc10))
      | ~ event(skc12,skf2(skf4(skc12)))
      | ~ agent(skc12,skf2(skf4(skc12)),skf4(skc12))
      | ~ present(skc12,skf2(skf4(skc12)))
      | ~ smoke(skc12,skf2(skf4(skc12))) ) ),
    inference(rewrite,[status(thm)],]) ).

tff(169,plain,
    ( ( ~ ! [W: $i,V: $i,Z: $i,Y: $i,X6: $i,X4: $i,X3: $i,U: $i,X: $i,X2: $i,X7: $i,X5: $i,X8: $i,X1: $i] :
            ( ~ actual_world(W)
            | ~ of(W,X7,X8)
            | ~ man(W,X8)
            | ~ agent(W,X6,X8)
            | ~ forename(W,X7)
            | ~ vincent_forename(W,X7)
            | ~ theme(W,X6,X2)
            | ~ event(W,X6)
            | ~ present(W,X6)
            | ~ think_believe_consider(W,X6)
            | ~ accessible_world(W,X2)
            | ~ proposition(W,X2)
            | ~ forename(W,X5)
            | ~ jules_forename(W,X5)
            | ~ of(W,X5,X4)
            | ~ man(W,X4)
            | ~ be(W,X1,X4,X4)
            | ~ event(X2,X3)
            | ~ agent(X2,X3,X4)
            | ~ present(X2,X3)
            | ~ smoke(X2,X3)
            | ~ state(W,X1)
            | ~ agent(W,X,Z)
            | ~ man(W,Z)
            | ~ of(W,Y,Z)
            | ~ vincent_forename(W,Y)
            | ~ forename(W,Y)
            | ~ think_believe_consider(W,X)
            | ~ present(W,X)
            | ~ event(W,X)
            | ~ theme(W,X,U)
            | ~ proposition(W,U)
            | ~ accessible_world(W,U)
            | ~ event(U,V)
            | ~ agent(U,V,skf4(U))
            | ~ present(U,V)
            | ~ smoke(U,V) )
      | ~ actual_world(skc8)
      | ~ of(skc8,skc14,skc15)
      | ~ man(skc8,skc15)
      | ~ agent(skc8,skc13,skc15)
      | ~ forename(skc8,skc14)
      | ~ vincent_forename(skc8,skc14)
      | ~ theme(skc8,skc13,skc12)
      | ~ event(skc8,skc13)
      | ~ present(skc8,skc13)
      | ~ think_believe_consider(skc8,skc13)
      | ~ accessible_world(skc8,skc12)
      | ~ proposition(skc8,skc12)
      | ~ forename(skc8,skc11)
      | ~ jules_forename(skc8,skc11)
      | ~ of(skc8,skc11,skc10)
      | ~ man(skc8,skc10)
      | ~ be(skc8,skc9,skc10,skc10)
      | ~ event(skc12,skf2(skc10))
      | ~ agent(skc12,skf2(skc10),skc10)
      | ~ present(skc12,skf2(skc10))
      | ~ smoke(skc12,skf2(skc10))
      | ~ state(skc8,skc9)
      | ~ agent(skc8,skc13,skc15)
      | ~ man(skc8,skc15)
      | ~ of(skc8,skc14,skc15)
      | ~ vincent_forename(skc8,skc14)
      | ~ forename(skc8,skc14)
      | ~ think_believe_consider(skc8,skc13)
      | ~ present(skc8,skc13)
      | ~ event(skc8,skc13)
      | ~ theme(skc8,skc13,skc12)
      | ~ proposition(skc8,skc12)
      | ~ accessible_world(skc8,skc12)
      | ~ event(skc12,skf2(skf4(skc12)))
      | ~ agent(skc12,skf2(skf4(skc12)),skf4(skc12))
      | ~ present(skc12,skf2(skf4(skc12)))
      | ~ smoke(skc12,skf2(skf4(skc12))) )
  <=> ( ~ ! [W: $i,V: $i,Z: $i,Y: $i,X6: $i,X4: $i,X3: $i,U: $i,X: $i,X2: $i,X7: $i,X5: $i,X8: $i,X1: $i] :
            ( ~ actual_world(W)
            | ~ of(W,X7,X8)
            | ~ man(W,X8)
            | ~ agent(W,X6,X8)
            | ~ forename(W,X7)
            | ~ vincent_forename(W,X7)
            | ~ theme(W,X6,X2)
            | ~ event(W,X6)
            | ~ present(W,X6)
            | ~ think_believe_consider(W,X6)
            | ~ accessible_world(W,X2)
            | ~ proposition(W,X2)
            | ~ forename(W,X5)
            | ~ jules_forename(W,X5)
            | ~ of(W,X5,X4)
            | ~ man(W,X4)
            | ~ be(W,X1,X4,X4)
            | ~ event(X2,X3)
            | ~ agent(X2,X3,X4)
            | ~ present(X2,X3)
            | ~ smoke(X2,X3)
            | ~ state(W,X1)
            | ~ agent(W,X,Z)
            | ~ man(W,Z)
            | ~ of(W,Y,Z)
            | ~ vincent_forename(W,Y)
            | ~ forename(W,Y)
            | ~ think_believe_consider(W,X)
            | ~ present(W,X)
            | ~ event(W,X)
            | ~ theme(W,X,U)
            | ~ proposition(W,U)
            | ~ accessible_world(W,U)
            | ~ event(U,V)
            | ~ agent(U,V,skf4(U))
            | ~ present(U,V)
            | ~ smoke(U,V) )
      | ~ event(skc8,skc13)
      | ~ proposition(skc8,skc12)
      | ~ state(skc8,skc9)
      | ~ man(skc8,skc15)
      | ~ man(skc8,skc10)
      | ~ forename(skc8,skc14)
      | ~ forename(skc8,skc11)
      | ~ accessible_world(skc8,skc12)
      | ~ vincent_forename(skc8,skc14)
      | ~ jules_forename(skc8,skc11)
      | ~ be(skc8,skc9,skc10,skc10)
      | ~ theme(skc8,skc13,skc12)
      | ~ think_believe_consider(skc8,skc13)
      | ~ of(skc8,skc11,skc10)
      | ~ agent(skc8,skc13,skc15)
      | ~ present(skc8,skc13)
      | ~ of(skc8,skc14,skc15)
      | ~ agent(skc12,skf2(skc10),skc10)
      | ~ actual_world(skc8)
      | ~ present(skc12,skf2(skc10))
      | ~ event(skc12,skf2(skc10))
      | ~ smoke(skc12,skf2(skc10))
      | ~ event(skc12,skf2(skf4(skc12)))
      | ~ agent(skc12,skf2(skf4(skc12)),skf4(skc12))
      | ~ present(skc12,skf2(skf4(skc12)))
      | ~ smoke(skc12,skf2(skf4(skc12))) ) ),
    inference(monotonicity,[status(thm)],[168]) ).

tff(170,plain,
    ( ( ~ ! [W: $i,V: $i,Z: $i,Y: $i,X6: $i,X4: $i,X3: $i,U: $i,X: $i,X2: $i,X7: $i,X5: $i,X8: $i,X1: $i] :
            ( ~ actual_world(W)
            | ~ of(W,X7,X8)
            | ~ man(W,X8)
            | ~ agent(W,X6,X8)
            | ~ forename(W,X7)
            | ~ vincent_forename(W,X7)
            | ~ theme(W,X6,X2)
            | ~ event(W,X6)
            | ~ present(W,X6)
            | ~ think_believe_consider(W,X6)
            | ~ accessible_world(W,X2)
            | ~ proposition(W,X2)
            | ~ forename(W,X5)
            | ~ jules_forename(W,X5)
            | ~ of(W,X5,X4)
            | ~ man(W,X4)
            | ~ be(W,X1,X4,X4)
            | ~ event(X2,X3)
            | ~ agent(X2,X3,X4)
            | ~ present(X2,X3)
            | ~ smoke(X2,X3)
            | ~ state(W,X1)
            | ~ agent(W,X,Z)
            | ~ man(W,Z)
            | ~ of(W,Y,Z)
            | ~ vincent_forename(W,Y)
            | ~ forename(W,Y)
            | ~ think_believe_consider(W,X)
            | ~ present(W,X)
            | ~ event(W,X)
            | ~ theme(W,X,U)
            | ~ proposition(W,U)
            | ~ accessible_world(W,U)
            | ~ event(U,V)
            | ~ agent(U,V,skf4(U))
            | ~ present(U,V)
            | ~ smoke(U,V) )
      | ~ actual_world(skc8)
      | ~ of(skc8,skc14,skc15)
      | ~ man(skc8,skc15)
      | ~ agent(skc8,skc13,skc15)
      | ~ forename(skc8,skc14)
      | ~ vincent_forename(skc8,skc14)
      | ~ theme(skc8,skc13,skc12)
      | ~ event(skc8,skc13)
      | ~ present(skc8,skc13)
      | ~ think_believe_consider(skc8,skc13)
      | ~ accessible_world(skc8,skc12)
      | ~ proposition(skc8,skc12)
      | ~ forename(skc8,skc11)
      | ~ jules_forename(skc8,skc11)
      | ~ of(skc8,skc11,skc10)
      | ~ man(skc8,skc10)
      | ~ be(skc8,skc9,skc10,skc10)
      | ~ event(skc12,skf2(skc10))
      | ~ agent(skc12,skf2(skc10),skc10)
      | ~ present(skc12,skf2(skc10))
      | ~ smoke(skc12,skf2(skc10))
      | ~ state(skc8,skc9)
      | ~ agent(skc8,skc13,skc15)
      | ~ man(skc8,skc15)
      | ~ of(skc8,skc14,skc15)
      | ~ vincent_forename(skc8,skc14)
      | ~ forename(skc8,skc14)
      | ~ think_believe_consider(skc8,skc13)
      | ~ present(skc8,skc13)
      | ~ event(skc8,skc13)
      | ~ theme(skc8,skc13,skc12)
      | ~ proposition(skc8,skc12)
      | ~ accessible_world(skc8,skc12)
      | ~ event(skc12,skf2(skf4(skc12)))
      | ~ agent(skc12,skf2(skf4(skc12)),skf4(skc12))
      | ~ present(skc12,skf2(skf4(skc12)))
      | ~ smoke(skc12,skf2(skf4(skc12))) )
  <=> ( ~ ! [W: $i,V: $i,Z: $i,Y: $i,X6: $i,X4: $i,X3: $i,U: $i,X: $i,X2: $i,X7: $i,X5: $i,X8: $i,X1: $i] :
            ( ~ actual_world(W)
            | ~ of(W,X7,X8)
            | ~ man(W,X8)
            | ~ agent(W,X6,X8)
            | ~ forename(W,X7)
            | ~ vincent_forename(W,X7)
            | ~ theme(W,X6,X2)
            | ~ event(W,X6)
            | ~ present(W,X6)
            | ~ think_believe_consider(W,X6)
            | ~ accessible_world(W,X2)
            | ~ proposition(W,X2)
            | ~ forename(W,X5)
            | ~ jules_forename(W,X5)
            | ~ of(W,X5,X4)
            | ~ man(W,X4)
            | ~ be(W,X1,X4,X4)
            | ~ event(X2,X3)
            | ~ agent(X2,X3,X4)
            | ~ present(X2,X3)
            | ~ smoke(X2,X3)
            | ~ state(W,X1)
            | ~ agent(W,X,Z)
            | ~ man(W,Z)
            | ~ of(W,Y,Z)
            | ~ vincent_forename(W,Y)
            | ~ forename(W,Y)
            | ~ think_believe_consider(W,X)
            | ~ present(W,X)
            | ~ event(W,X)
            | ~ theme(W,X,U)
            | ~ proposition(W,U)
            | ~ accessible_world(W,U)
            | ~ event(U,V)
            | ~ agent(U,V,skf4(U))
            | ~ present(U,V)
            | ~ smoke(U,V) )
      | ~ event(skc8,skc13)
      | ~ proposition(skc8,skc12)
      | ~ state(skc8,skc9)
      | ~ man(skc8,skc15)
      | ~ man(skc8,skc10)
      | ~ forename(skc8,skc14)
      | ~ forename(skc8,skc11)
      | ~ accessible_world(skc8,skc12)
      | ~ vincent_forename(skc8,skc14)
      | ~ jules_forename(skc8,skc11)
      | ~ be(skc8,skc9,skc10,skc10)
      | ~ theme(skc8,skc13,skc12)
      | ~ think_believe_consider(skc8,skc13)
      | ~ of(skc8,skc11,skc10)
      | ~ agent(skc8,skc13,skc15)
      | ~ present(skc8,skc13)
      | ~ of(skc8,skc14,skc15)
      | ~ agent(skc12,skf2(skc10),skc10)
      | ~ actual_world(skc8)
      | ~ present(skc12,skf2(skc10))
      | ~ event(skc12,skf2(skc10))
      | ~ smoke(skc12,skf2(skc10))
      | ~ event(skc12,skf2(skf4(skc12)))
      | ~ agent(skc12,skf2(skf4(skc12)),skf4(skc12))
      | ~ present(skc12,skf2(skf4(skc12)))
      | ~ smoke(skc12,skf2(skf4(skc12))) ) ),
    inference(transitivity,[status(thm)],[169,167]) ).

tff(171,plain,
    ( ~ ! [W: $i,V: $i,Z: $i,Y: $i,X6: $i,X4: $i,X3: $i,U: $i,X: $i,X2: $i,X7: $i,X5: $i,X8: $i,X1: $i] :
          ( ~ actual_world(W)
          | ~ of(W,X7,X8)
          | ~ man(W,X8)
          | ~ agent(W,X6,X8)
          | ~ forename(W,X7)
          | ~ vincent_forename(W,X7)
          | ~ theme(W,X6,X2)
          | ~ event(W,X6)
          | ~ present(W,X6)
          | ~ think_believe_consider(W,X6)
          | ~ accessible_world(W,X2)
          | ~ proposition(W,X2)
          | ~ forename(W,X5)
          | ~ jules_forename(W,X5)
          | ~ of(W,X5,X4)
          | ~ man(W,X4)
          | ~ be(W,X1,X4,X4)
          | ~ event(X2,X3)
          | ~ agent(X2,X3,X4)
          | ~ present(X2,X3)
          | ~ smoke(X2,X3)
          | ~ state(W,X1)
          | ~ agent(W,X,Z)
          | ~ man(W,Z)
          | ~ of(W,Y,Z)
          | ~ vincent_forename(W,Y)
          | ~ forename(W,Y)
          | ~ think_believe_consider(W,X)
          | ~ present(W,X)
          | ~ event(W,X)
          | ~ theme(W,X,U)
          | ~ proposition(W,U)
          | ~ accessible_world(W,U)
          | ~ event(U,V)
          | ~ agent(U,V,skf4(U))
          | ~ present(U,V)
          | ~ smoke(U,V) )
    | ~ actual_world(skc8)
    | ~ of(skc8,skc14,skc15)
    | ~ man(skc8,skc15)
    | ~ agent(skc8,skc13,skc15)
    | ~ forename(skc8,skc14)
    | ~ vincent_forename(skc8,skc14)
    | ~ theme(skc8,skc13,skc12)
    | ~ event(skc8,skc13)
    | ~ present(skc8,skc13)
    | ~ think_believe_consider(skc8,skc13)
    | ~ accessible_world(skc8,skc12)
    | ~ proposition(skc8,skc12)
    | ~ forename(skc8,skc11)
    | ~ jules_forename(skc8,skc11)
    | ~ of(skc8,skc11,skc10)
    | ~ man(skc8,skc10)
    | ~ be(skc8,skc9,skc10,skc10)
    | ~ event(skc12,skf2(skc10))
    | ~ agent(skc12,skf2(skc10),skc10)
    | ~ present(skc12,skf2(skc10))
    | ~ smoke(skc12,skf2(skc10))
    | ~ state(skc8,skc9)
    | ~ agent(skc8,skc13,skc15)
    | ~ man(skc8,skc15)
    | ~ of(skc8,skc14,skc15)
    | ~ vincent_forename(skc8,skc14)
    | ~ forename(skc8,skc14)
    | ~ think_believe_consider(skc8,skc13)
    | ~ present(skc8,skc13)
    | ~ event(skc8,skc13)
    | ~ theme(skc8,skc13,skc12)
    | ~ proposition(skc8,skc12)
    | ~ accessible_world(skc8,skc12)
    | ~ event(skc12,skf2(skf4(skc12)))
    | ~ agent(skc12,skf2(skf4(skc12)),skf4(skc12))
    | ~ present(skc12,skf2(skf4(skc12)))
    | ~ smoke(skc12,skf2(skf4(skc12))) ),
    inference(quant_inst,[status(thm)],]) ).

tff(172,plain,
    ( ~ ! [W: $i,V: $i,Z: $i,Y: $i,X6: $i,X4: $i,X3: $i,U: $i,X: $i,X2: $i,X7: $i,X5: $i,X8: $i,X1: $i] :
          ( ~ actual_world(W)
          | ~ of(W,X7,X8)
          | ~ man(W,X8)
          | ~ agent(W,X6,X8)
          | ~ forename(W,X7)
          | ~ vincent_forename(W,X7)
          | ~ theme(W,X6,X2)
          | ~ event(W,X6)
          | ~ present(W,X6)
          | ~ think_believe_consider(W,X6)
          | ~ accessible_world(W,X2)
          | ~ proposition(W,X2)
          | ~ forename(W,X5)
          | ~ jules_forename(W,X5)
          | ~ of(W,X5,X4)
          | ~ man(W,X4)
          | ~ be(W,X1,X4,X4)
          | ~ event(X2,X3)
          | ~ agent(X2,X3,X4)
          | ~ present(X2,X3)
          | ~ smoke(X2,X3)
          | ~ state(W,X1)
          | ~ agent(W,X,Z)
          | ~ man(W,Z)
          | ~ of(W,Y,Z)
          | ~ vincent_forename(W,Y)
          | ~ forename(W,Y)
          | ~ think_believe_consider(W,X)
          | ~ present(W,X)
          | ~ event(W,X)
          | ~ theme(W,X,U)
          | ~ proposition(W,U)
          | ~ accessible_world(W,U)
          | ~ event(U,V)
          | ~ agent(U,V,skf4(U))
          | ~ present(U,V)
          | ~ smoke(U,V) )
    | ~ event(skc8,skc13)
    | ~ proposition(skc8,skc12)
    | ~ state(skc8,skc9)
    | ~ man(skc8,skc15)
    | ~ man(skc8,skc10)
    | ~ forename(skc8,skc14)
    | ~ forename(skc8,skc11)
    | ~ accessible_world(skc8,skc12)
    | ~ vincent_forename(skc8,skc14)
    | ~ jules_forename(skc8,skc11)
    | ~ be(skc8,skc9,skc10,skc10)
    | ~ theme(skc8,skc13,skc12)
    | ~ think_believe_consider(skc8,skc13)
    | ~ of(skc8,skc11,skc10)
    | ~ agent(skc8,skc13,skc15)
    | ~ present(skc8,skc13)
    | ~ of(skc8,skc14,skc15)
    | ~ agent(skc12,skf2(skc10),skc10)
    | ~ actual_world(skc8)
    | ~ present(skc12,skf2(skc10))
    | ~ event(skc12,skf2(skc10))
    | ~ smoke(skc12,skf2(skc10))
    | ~ event(skc12,skf2(skf4(skc12)))
    | ~ agent(skc12,skf2(skf4(skc12)),skf4(skc12))
    | ~ present(skc12,skf2(skf4(skc12)))
    | ~ smoke(skc12,skf2(skf4(skc12))) ),
    inference(modus_ponens,[status(thm)],[171,170]) ).

tff(173,plain,
    $false,
    inference(unit_resolution,[status(thm)],[172,144,6,141,138,135,132,129,126,123,71,120,3,117,114,111,108,105,102,166,89,68,60,64,156,56,45,34]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : NLP252-1 : TPTP v8.1.0. Released v2.4.0.
% 0.07/0.13  % Command  : z3_tptp -proof -model -t:%d -file:%s
% 0.13/0.34  % Computer : n002.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 300
% 0.13/0.34  % DateTime : Fri Sep  2 06:24:31 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.13/0.35  Z3tptp [4.8.9.0] (c) 2006-20**. Microsoft Corp.
% 0.13/0.35  Usage: tptp [options] [-file:]file
% 0.13/0.35    -h, -?       prints this message.
% 0.13/0.35    -smt2        print SMT-LIB2 benchmark.
% 0.13/0.35    -m, -model   generate model.
% 0.13/0.35    -p, -proof   generate proof.
% 0.13/0.35    -c, -core    generate unsat core of named formulas.
% 0.13/0.35    -st, -statistics display statistics.
% 0.13/0.35    -t:timeout   set timeout (in second).
% 0.13/0.35    -smt2status  display status in smt2 format instead of SZS.
% 0.13/0.35    -check_status check the status produced by Z3 against annotation in benchmark.
% 0.13/0.35    -<param>:<value> configuration parameter and value.
% 0.13/0.35    -o:<output-file> file to place output in.
% 0.62/0.64  % SZS status Unsatisfiable
% 0.62/0.64  % SZS output start Proof
% See solution above
%------------------------------------------------------------------------------