TSTP Solution File: NLP251+1 by Leo-III---1.7.7

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Leo-III---1.7.7
% Problem  : NLP251+1 : TPTP v8.1.2. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_Leo-III %s %d

% Computer : n015.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Fri May 19 11:36:38 EDT 2023

% Result   : Theorem 5.62s 2.43s
% Output   : Refutation 6.03s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :  108
% Syntax   : Number of formulae    :  182 (   1 unt;  36 typ;   0 def)
%            Number of atoms       :  576 (   6 equ;   0 cnn)
%            Maximal formula atoms :   67 (   3 avg)
%            Number of connectives : 1675 (  20   ~;   0   |; 282   &;1225   @)
%                                         (   0 <=>; 148  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   60 (   8 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   76 (  76   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   38 (  36 usr;   1 con; 0-4 aty)
%            Number of variables   :  459 (   0   ^; 382   !;  77   ?; 459   :)

% Comments : 
%------------------------------------------------------------------------------
thf(actual_world_type,type,
    actual_world: $i > $o ).

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

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

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

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

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

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

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

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

thf(present_type,type,
    present: $i > $i > $o ).

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

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

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

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

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

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

thf(thing_type,type,
    thing: $i > $i > $o ).

thf(singleton_type,type,
    singleton: $i > $i > $o ).

thf(eventuality_type,type,
    eventuality: $i > $i > $o ).

thf(entity_type,type,
    entity: $i > $i > $o ).

thf(existent_type,type,
    existent: $i > $i > $o ).

thf(relname_type,type,
    relname: $i > $i > $o ).

thf(relation_type,type,
    relation: $i > $i > $o ).

thf(organism_type,type,
    organism: $i > $i > $o ).

thf(unisex_type,type,
    unisex: $i > $i > $o ).

thf(human_person_type,type,
    human_person: $i > $i > $o ).

thf(human_type,type,
    human: $i > $i > $o ).

thf(nonhuman_type,type,
    nonhuman: $i > $i > $o ).

thf(specific_type,type,
    specific: $i > $i > $o ).

thf(abstraction_type,type,
    abstraction: $i > $i > $o ).

thf(impartial_type,type,
    impartial: $i > $i > $o ).

thf(nonexistent_type,type,
    nonexistent: $i > $i > $o ).

thf(living_type,type,
    living: $i > $i > $o ).

thf(male_type,type,
    male: $i > $i > $o ).

thf(general_type,type,
    general: $i > $i > $o ).

thf(animate_type,type,
    animate: $i > $i > $o ).

thf(67,axiom,
    ! [A: $i,B: $i,C: $i,D: $i] :
      ( ( ( accessible_world @ C @ D )
        & ( theme @ C @ A @ B ) )
     => ( theme @ D @ A @ B ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax57) ).

thf(234,plain,
    ! [A: $i,B: $i,C: $i,D: $i] :
      ( ( ( accessible_world @ C @ D )
        & ( theme @ C @ A @ B ) )
     => ( theme @ D @ A @ B ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[67]) ).

thf(28,axiom,
    ! [A: $i,B: $i] :
      ( ( event @ A @ B )
     => ( eventuality @ A @ B ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax29) ).

thf(153,plain,
    ! [A: $i,B: $i] :
      ( ( event @ A @ B )
     => ( eventuality @ A @ B ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[28]) ).

thf(22,axiom,
    ! [A: $i,B: $i] :
      ( ( eventuality @ A @ B )
     => ( specific @ A @ B ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax26) ).

thf(141,plain,
    ! [A: $i,B: $i] :
      ( ( eventuality @ A @ B )
     => ( specific @ A @ B ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[22]) ).

thf(16,axiom,
    ! [A: $i,B: $i] :
      ( ( eventuality @ A @ B )
     => ( nonexistent @ A @ B ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax25) ).

thf(129,plain,
    ! [A: $i,B: $i] :
      ( ( eventuality @ A @ B )
     => ( nonexistent @ A @ B ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[16]) ).

thf(68,axiom,
    ! [A: $i,B: $i,C: $i] :
      ( ( ( accessible_world @ B @ C )
        & ( male @ B @ A ) )
     => ( male @ C @ A ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax40) ).

thf(236,plain,
    ! [A: $i,B: $i,C: $i] :
      ( ( ( accessible_world @ B @ C )
        & ( male @ B @ A ) )
     => ( male @ C @ A ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[68]) ).

thf(23,axiom,
    ! [A: $i,B: $i] :
      ( ( abstraction @ A @ B )
     => ( general @ A @ B ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax19) ).

thf(143,plain,
    ! [A: $i,B: $i] :
      ( ( abstraction @ A @ B )
     => ( general @ A @ B ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[23]) ).

thf(59,axiom,
    ! [A: $i,B: $i,C: $i] :
      ( ( ( accessible_world @ B @ C )
        & ( thing @ B @ A ) )
     => ( thing @ C @ A ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax65) ).

thf(218,plain,
    ! [A: $i,B: $i,C: $i] :
      ( ( ( accessible_world @ B @ C )
        & ( thing @ B @ A ) )
     => ( thing @ C @ A ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[59]) ).

thf(21,axiom,
    ! [A: $i,B: $i] :
      ( ( existent @ A @ B )
     => ~ ( nonexistent @ A @ B ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax31) ).

thf(139,plain,
    ! [A: $i,B: $i] :
      ( ( existent @ A @ B )
     => ~ ( nonexistent @ A @ B ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[21]) ).

thf(36,axiom,
    ! [A: $i,B: $i,C: $i] :
      ( ( ( accessible_world @ B @ C )
        & ( specific @ B @ A ) )
     => ( specific @ C @ A ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax63) ).

thf(170,plain,
    ! [A: $i,B: $i,C: $i] :
      ( ( ( accessible_world @ B @ C )
        & ( specific @ B @ A ) )
     => ( specific @ C @ A ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[36]) ).

thf(9,axiom,
    ! [A: $i,B: $i] :
      ( ( human_person @ A @ B )
     => ( human @ A @ B ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax7) ).

thf(115,plain,
    ! [A: $i,B: $i] :
      ( ( human_person @ A @ B )
     => ( human @ A @ B ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[9]) ).

thf(51,axiom,
    ! [A: $i,B: $i,C: $i] :
      ( ( ( accessible_world @ B @ C )
        & ( general @ B @ A ) )
     => ( general @ C @ A ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax52) ).

thf(202,plain,
    ! [A: $i,B: $i,C: $i] :
      ( ( ( accessible_world @ B @ C )
        & ( general @ B @ A ) )
     => ( general @ C @ A ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[51]) ).

thf(38,axiom,
    ! [A: $i,B: $i,C: $i] :
      ( ( ( accessible_world @ B @ C )
        & ( relation @ B @ A ) )
     => ( relation @ C @ A ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax55) ).

thf(174,plain,
    ! [A: $i,B: $i,C: $i] :
      ( ( ( accessible_world @ B @ C )
        & ( relation @ B @ A ) )
     => ( relation @ C @ A ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[38]) ).

thf(43,axiom,
    ! [A: $i,B: $i,C: $i] :
      ( ( ( accessible_world @ B @ C )
        & ( state @ B @ A ) )
     => ( state @ C @ A ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax50) ).

thf(185,plain,
    ! [A: $i,B: $i,C: $i] :
      ( ( ( accessible_world @ B @ C )
        & ( state @ B @ A ) )
     => ( state @ C @ A ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[43]) ).

thf(14,axiom,
    ! [A: $i,B: $i] :
      ( ( human_person @ A @ B )
     => ( organism @ A @ B ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax14) ).

thf(125,plain,
    ! [A: $i,B: $i] :
      ( ( human_person @ A @ B )
     => ( organism @ A @ B ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[14]) ).

thf(30,axiom,
    ! [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i] :
      ( ( ( think_believe_consider @ A @ B )
        & ( proposition @ A @ E )
        & ( theme @ A @ B @ E )
        & ( agent @ A @ B @ D )
        & ( think_believe_consider @ A @ C )
        & ( proposition @ A @ F )
        & ( theme @ A @ C @ F )
        & ( agent @ A @ C @ D ) )
     => ( E = F ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax71) ).

thf(157,plain,
    ! [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i] :
      ( ( ( think_believe_consider @ A @ B )
        & ( proposition @ A @ E )
        & ( theme @ A @ B @ E )
        & ( agent @ A @ B @ D )
        & ( think_believe_consider @ A @ C )
        & ( proposition @ A @ F )
        & ( theme @ A @ C @ F )
        & ( agent @ A @ C @ D ) )
     => ( E = F ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[30]) ).

thf(45,axiom,
    ! [A: $i,B: $i] :
      ( ( vincent_forename @ A @ B )
     => ( forename @ A @ B ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax2) ).

thf(189,plain,
    ! [A: $i,B: $i] :
      ( ( vincent_forename @ A @ B )
     => ( forename @ A @ B ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[45]) ).

thf(64,axiom,
    ! [A: $i,B: $i,C: $i] :
      ( ( ( accessible_world @ B @ C )
        & ( think_believe_consider @ B @ A ) )
     => ( think_believe_consider @ C @ A ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax58) ).

thf(228,plain,
    ! [A: $i,B: $i,C: $i] :
      ( ( ( accessible_world @ B @ C )
        & ( think_believe_consider @ B @ A ) )
     => ( think_believe_consider @ C @ A ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[64]) ).

thf(58,axiom,
    ! [A: $i,B: $i,C: $i] :
      ( ( ( accessible_world @ B @ C )
        & ( present @ B @ A ) )
     => ( present @ C @ A ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax60) ).

thf(216,plain,
    ! [A: $i,B: $i,C: $i] :
      ( ( ( accessible_world @ B @ C )
        & ( present @ B @ A ) )
     => ( present @ C @ A ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[58]) ).

thf(33,axiom,
    ! [A: $i,B: $i,C: $i] :
      ( ( ( accessible_world @ B @ C )
        & ( vincent_forename @ B @ A ) )
     => ( vincent_forename @ C @ A ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax37) ).

thf(164,plain,
    ! [A: $i,B: $i,C: $i] :
      ( ( ( accessible_world @ B @ C )
        & ( vincent_forename @ B @ A ) )
     => ( vincent_forename @ C @ A ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[33]) ).

thf(69,axiom,
    ! [A: $i,B: $i,C: $i] :
      ( ( ( accessible_world @ B @ C )
        & ( forename @ B @ A ) )
     => ( forename @ C @ A ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax39) ).

thf(238,plain,
    ! [A: $i,B: $i,C: $i] :
      ( ( ( accessible_world @ B @ C )
        & ( forename @ B @ A ) )
     => ( forename @ C @ A ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[69]) ).

thf(12,axiom,
    ! [A: $i,B: $i] :
      ( ( entity @ A @ B )
     => ( thing @ A @ B ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax12) ).

thf(121,plain,
    ! [A: $i,B: $i] :
      ( ( entity @ A @ B )
     => ( thing @ A @ B ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[12]) ).

thf(25,axiom,
    ! [A: $i,B: $i] :
      ( ( specific @ A @ B )
     => ~ ( general @ A @ B ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax33) ).

thf(147,plain,
    ! [A: $i,B: $i] :
      ( ( specific @ A @ B )
     => ~ ( general @ A @ B ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[25]) ).

thf(18,axiom,
    ! [A: $i,B: $i] :
      ( ( organism @ A @ B )
     => ( living @ A @ B ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax8) ).

thf(133,plain,
    ! [A: $i,B: $i] :
      ( ( organism @ A @ B )
     => ( living @ A @ B ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[18]) ).

thf(1,conjecture,
    ~ ( ? [A: $i] :
          ( ( actual_world @ A )
          & ? [B: $i,C: $i,D: $i,E: $i,F: $i,G: $i,H: $i] :
              ( ( of @ A @ C @ B )
              & ( man @ A @ B )
              & ( vincent_forename @ A @ C )
              & ( forename @ A @ C )
              & ( proposition @ A @ E )
              & ( agent @ A @ D @ B )
              & ( theme @ A @ D @ E )
              & ( event @ A @ D )
              & ( present @ A @ D )
              & ( think_believe_consider @ A @ D )
              & ( accessible_world @ A @ E )
              & ! [I: $i] :
                  ( ( man @ E @ I )
                 => ? [J: $i] :
                      ( ( event @ E @ J )
                      & ( agent @ E @ J @ I )
                      & ( present @ E @ J )
                      & ( smoke @ E @ J ) ) )
              & ( of @ A @ F @ G )
              & ( man @ A @ G )
              & ( jules_forename @ A @ F )
              & ( forename @ A @ F )
              & ( man @ A @ G )
              & ( state @ A @ H )
              & ( be @ A @ H @ G @ G ) ) )
      & ~ ? [A: $i] :
            ( ( actual_world @ A )
            & ? [B: $i,C: $i,D: $i,E: $i,F: $i,G: $i,H: $i,I: $i,J: $i,K: $i,L: $i,M: $i,N: $i] :
                ( ( of @ A @ C @ B )
                & ( man @ A @ B )
                & ( vincent_forename @ A @ C )
                & ( forename @ A @ C )
                & ( of @ A @ E @ D )
                & ( man @ A @ D )
                & ( jules_forename @ A @ E )
                & ( forename @ A @ E )
                & ( of @ A @ G @ F )
                & ( man @ A @ F )
                & ( vincent_forename @ A @ G )
                & ( forename @ A @ G )
                & ( proposition @ A @ I )
                & ( agent @ A @ H @ F )
                & ( theme @ A @ H @ I )
                & ( event @ A @ H )
                & ( present @ A @ H )
                & ( think_believe_consider @ A @ H )
                & ( accessible_world @ A @ I )
                & ! [O: $i] :
                    ( ( man @ I @ O )
                   => ? [P: $i] :
                        ( ( event @ I @ P )
                        & ( agent @ I @ P @ O )
                        & ( present @ I @ P )
                        & ( smoke @ I @ P ) ) )
                & ( of @ A @ J @ K )
                & ( man @ A @ K )
                & ( jules_forename @ A @ J )
                & ( forename @ A @ J )
                & ( man @ A @ K )
                & ( state @ A @ L )
                & ( be @ A @ L @ K @ K )
                & ( proposition @ A @ N )
                & ( agent @ A @ M @ B )
                & ( theme @ A @ M @ N )
                & ( event @ A @ M )
                & ( present @ A @ M )
                & ( think_believe_consider @ A @ M )
                & ( accessible_world @ A @ N )
                & ? [O: $i] :
                    ( ( event @ N @ O )
                    & ( agent @ N @ O @ D )
                    & ( present @ N @ O )
                    & ( smoke @ N @ O ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).

thf(2,negated_conjecture,
    ~ ~ ( ? [A: $i] :
            ( ( actual_world @ A )
            & ? [B: $i,C: $i,D: $i,E: $i,F: $i,G: $i,H: $i] :
                ( ( of @ A @ C @ B )
                & ( man @ A @ B )
                & ( vincent_forename @ A @ C )
                & ( forename @ A @ C )
                & ( proposition @ A @ E )
                & ( agent @ A @ D @ B )
                & ( theme @ A @ D @ E )
                & ( event @ A @ D )
                & ( present @ A @ D )
                & ( think_believe_consider @ A @ D )
                & ( accessible_world @ A @ E )
                & ! [I: $i] :
                    ( ( man @ E @ I )
                   => ? [J: $i] :
                        ( ( event @ E @ J )
                        & ( agent @ E @ J @ I )
                        & ( present @ E @ J )
                        & ( smoke @ E @ J ) ) )
                & ( of @ A @ F @ G )
                & ( man @ A @ G )
                & ( jules_forename @ A @ F )
                & ( forename @ A @ F )
                & ( man @ A @ G )
                & ( state @ A @ H )
                & ( be @ A @ H @ G @ G ) ) )
        & ~ ? [A: $i] :
              ( ( actual_world @ A )
              & ? [B: $i,C: $i,D: $i,E: $i,F: $i,G: $i,H: $i,I: $i,J: $i,K: $i,L: $i,M: $i,N: $i] :
                  ( ( of @ A @ C @ B )
                  & ( man @ A @ B )
                  & ( vincent_forename @ A @ C )
                  & ( forename @ A @ C )
                  & ( of @ A @ E @ D )
                  & ( man @ A @ D )
                  & ( jules_forename @ A @ E )
                  & ( forename @ A @ E )
                  & ( of @ A @ G @ F )
                  & ( man @ A @ F )
                  & ( vincent_forename @ A @ G )
                  & ( forename @ A @ G )
                  & ( proposition @ A @ I )
                  & ( agent @ A @ H @ F )
                  & ( theme @ A @ H @ I )
                  & ( event @ A @ H )
                  & ( present @ A @ H )
                  & ( think_believe_consider @ A @ H )
                  & ( accessible_world @ A @ I )
                  & ! [O: $i] :
                      ( ( man @ I @ O )
                     => ? [P: $i] :
                          ( ( event @ I @ P )
                          & ( agent @ I @ P @ O )
                          & ( present @ I @ P )
                          & ( smoke @ I @ P ) ) )
                  & ( of @ A @ J @ K )
                  & ( man @ A @ K )
                  & ( jules_forename @ A @ J )
                  & ( forename @ A @ J )
                  & ( man @ A @ K )
                  & ( state @ A @ L )
                  & ( be @ A @ L @ K @ K )
                  & ( proposition @ A @ N )
                  & ( agent @ A @ M @ B )
                  & ( theme @ A @ M @ N )
                  & ( event @ A @ M )
                  & ( present @ A @ M )
                  & ( think_believe_consider @ A @ M )
                  & ( accessible_world @ A @ N )
                  & ? [O: $i] :
                      ( ( event @ N @ O )
                      & ( agent @ N @ O @ D )
                      & ( present @ N @ O )
                      & ( smoke @ N @ O ) ) ) ) ),
    inference(neg_conjecture,[status(cth)],[1]) ).

thf(74,plain,
    ~ ~ ( ? [A: $i] :
            ( ( actual_world @ A )
            & ? [B: $i,C: $i,D: $i,E: $i,F: $i,G: $i,H: $i] :
                ( ( of @ A @ C @ B )
                & ( man @ A @ B )
                & ( vincent_forename @ A @ C )
                & ( forename @ A @ C )
                & ( proposition @ A @ E )
                & ( agent @ A @ D @ B )
                & ( theme @ A @ D @ E )
                & ( event @ A @ D )
                & ( present @ A @ D )
                & ( think_believe_consider @ A @ D )
                & ( accessible_world @ A @ E )
                & ! [I: $i] :
                    ( ( man @ E @ I )
                   => ? [J: $i] :
                        ( ( event @ E @ J )
                        & ( agent @ E @ J @ I )
                        & ( present @ E @ J )
                        & ( smoke @ E @ J ) ) )
                & ( of @ A @ F @ G )
                & ( man @ A @ G )
                & ( jules_forename @ A @ F )
                & ( forename @ A @ F )
                & ( man @ A @ G )
                & ( state @ A @ H )
                & ( be @ A @ H @ G @ G ) ) )
        & ~ ? [A: $i] :
              ( ( actual_world @ A )
              & ? [B: $i,C: $i,D: $i,E: $i,F: $i,G: $i,H: $i,I: $i,J: $i,K: $i,L: $i,M: $i,N: $i] :
                  ( ( of @ A @ C @ B )
                  & ( man @ A @ B )
                  & ( vincent_forename @ A @ C )
                  & ( forename @ A @ C )
                  & ( of @ A @ E @ D )
                  & ( man @ A @ D )
                  & ( jules_forename @ A @ E )
                  & ( forename @ A @ E )
                  & ( of @ A @ G @ F )
                  & ( man @ A @ F )
                  & ( vincent_forename @ A @ G )
                  & ( forename @ A @ G )
                  & ( proposition @ A @ I )
                  & ( agent @ A @ H @ F )
                  & ( theme @ A @ H @ I )
                  & ( event @ A @ H )
                  & ( present @ A @ H )
                  & ( think_believe_consider @ A @ H )
                  & ( accessible_world @ A @ I )
                  & ! [O: $i] :
                      ( ( man @ I @ O )
                     => ? [P: $i] :
                          ( ( event @ I @ P )
                          & ( agent @ I @ P @ O )
                          & ( present @ I @ P )
                          & ( smoke @ I @ P ) ) )
                  & ( of @ A @ J @ K )
                  & ( man @ A @ K )
                  & ( jules_forename @ A @ J )
                  & ( forename @ A @ J )
                  & ( man @ A @ K )
                  & ( state @ A @ L )
                  & ( be @ A @ L @ K @ K )
                  & ( proposition @ A @ N )
                  & ( agent @ A @ M @ B )
                  & ( theme @ A @ M @ N )
                  & ( event @ A @ M )
                  & ( present @ A @ M )
                  & ( think_believe_consider @ A @ M )
                  & ( accessible_world @ A @ N )
                  & ? [O: $i] :
                      ( ( event @ N @ O )
                      & ( agent @ N @ O @ D )
                      & ( present @ N @ O )
                      & ( smoke @ N @ O ) ) ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).

thf(53,axiom,
    ! [A: $i,B: $i,C: $i] :
      ( ( ( accessible_world @ B @ C )
        & ( event @ B @ A ) )
     => ( event @ C @ A ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax67) ).

thf(206,plain,
    ! [A: $i,B: $i,C: $i] :
      ( ( ( accessible_world @ B @ C )
        & ( event @ B @ A ) )
     => ( event @ C @ A ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[53]) ).

thf(10,axiom,
    ! [A: $i,B: $i] :
      ( ( nonhuman @ A @ B )
     => ~ ( human @ A @ B ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax32) ).

thf(117,plain,
    ! [A: $i,B: $i] :
      ( ( nonhuman @ A @ B )
     => ~ ( human @ A @ B ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[10]) ).

thf(60,axiom,
    ! [A: $i,B: $i,C: $i] :
      ( ( ( accessible_world @ B @ C )
        & ( proposition @ B @ A ) )
     => ( proposition @ C @ A ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax56) ).

thf(220,plain,
    ! [A: $i,B: $i,C: $i] :
      ( ( ( accessible_world @ B @ C )
        & ( proposition @ B @ A ) )
     => ( proposition @ C @ A ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[60]) ).

thf(31,axiom,
    ! [A: $i,B: $i] :
      ( ( man @ A @ B )
     => ( male @ A @ B ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax5) ).

thf(160,plain,
    ! [A: $i,B: $i] :
      ( ( man @ A @ B )
     => ( male @ A @ B ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[31]) ).

thf(20,axiom,
    ! [A: $i,B: $i] :
      ( ( abstraction @ A @ B )
     => ( unisex @ A @ B ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax18) ).

thf(137,plain,
    ! [A: $i,B: $i] :
      ( ( abstraction @ A @ B )
     => ( unisex @ A @ B ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[20]) ).

thf(49,axiom,
    ! [A: $i,B: $i,C: $i,D: $i] :
      ( ( be @ A @ B @ C @ D )
     => ( C = D ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax70) ).

thf(197,plain,
    ! [A: $i,B: $i,C: $i,D: $i] :
      ( ( be @ A @ B @ C @ D )
     => ( C = D ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[49]) ).

thf(62,axiom,
    ! [A: $i,B: $i,C: $i] :
      ( ( ( accessible_world @ B @ C )
        & ( impartial @ B @ A ) )
     => ( impartial @ C @ A ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax44) ).

thf(224,plain,
    ! [A: $i,B: $i,C: $i] :
      ( ( ( accessible_world @ B @ C )
        & ( impartial @ B @ A ) )
     => ( impartial @ C @ A ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[62]) ).

thf(6,axiom,
    ! [A: $i,B: $i] :
      ( ( relname @ A @ B )
     => ( relation @ A @ B ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax3) ).

thf(109,plain,
    ! [A: $i,B: $i] :
      ( ( relname @ A @ B )
     => ( relation @ A @ B ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).

thf(47,axiom,
    ! [A: $i,B: $i] :
      ( ( proposition @ A @ B )
     => ( relation @ A @ B ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax23) ).

thf(193,plain,
    ! [A: $i,B: $i] :
      ( ( proposition @ A @ B )
     => ( relation @ A @ B ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[47]) ).

thf(56,axiom,
    ! [A: $i,B: $i,C: $i,D: $i] :
      ( ( ( accessible_world @ C @ D )
        & ( of @ C @ A @ B ) )
     => ( of @ D @ A @ B ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax36) ).

thf(212,plain,
    ! [A: $i,B: $i,C: $i,D: $i] :
      ( ( ( accessible_world @ C @ D )
        & ( of @ C @ A @ B ) )
     => ( of @ D @ A @ B ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[56]) ).

thf(4,axiom,
    ! [A: $i,B: $i] :
      ( ( eventuality @ A @ B )
     => ( thing @ A @ B ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax28) ).

thf(105,plain,
    ! [A: $i,B: $i] :
      ( ( eventuality @ A @ B )
     => ( thing @ A @ B ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).

thf(72,axiom,
    ! [A: $i,B: $i] :
      ( ( state @ A @ B )
     => ( eventuality @ A @ B ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax17) ).

thf(244,plain,
    ! [A: $i,B: $i] :
      ( ( state @ A @ B )
     => ( eventuality @ A @ B ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[72]) ).

thf(34,axiom,
    ! [A: $i,B: $i,C: $i] :
      ( ( ( accessible_world @ B @ C )
        & ( relname @ B @ A ) )
     => ( relname @ C @ A ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax38) ).

thf(166,plain,
    ! [A: $i,B: $i,C: $i] :
      ( ( ( accessible_world @ B @ C )
        & ( relname @ B @ A ) )
     => ( relname @ C @ A ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[34]) ).

thf(41,axiom,
    ! [A: $i,B: $i,C: $i] :
      ( ( ( accessible_world @ B @ C )
        & ( man @ B @ A ) )
     => ( man @ C @ A ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax49) ).

thf(180,plain,
    ! [A: $i,B: $i,C: $i] :
      ( ( ( accessible_world @ B @ C )
        & ( man @ B @ A ) )
     => ( man @ C @ A ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[41]) ).

thf(26,axiom,
    ! [A: $i,B: $i] :
      ( ( human_person @ A @ B )
     => ( animate @ A @ B ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax6) ).

thf(149,plain,
    ! [A: $i,B: $i] :
      ( ( human_person @ A @ B )
     => ( animate @ A @ B ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[26]) ).

thf(39,axiom,
    ! [A: $i,B: $i] :
      ( ( forename @ A @ B )
     => ( relname @ A @ B ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax4) ).

thf(176,plain,
    ! [A: $i,B: $i] :
      ( ( forename @ A @ B )
     => ( relname @ A @ B ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[39]) ).

thf(46,axiom,
    ! [A: $i,B: $i,C: $i,D: $i,E: $i] :
      ( ( ( accessible_world @ D @ E )
        & ( be @ D @ A @ B @ C ) )
     => ( be @ E @ A @ B @ C ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax51) ).

thf(191,plain,
    ! [A: $i,B: $i,C: $i,D: $i,E: $i] :
      ( ( ( accessible_world @ D @ E )
        & ( be @ D @ A @ B @ C ) )
     => ( be @ E @ A @ B @ C ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[46]) ).

thf(52,axiom,
    ! [A: $i,B: $i,C: $i] :
      ( ( ( accessible_world @ B @ C )
        & ( unisex @ B @ A ) )
     => ( unisex @ C @ A ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax61) ).

thf(204,plain,
    ! [A: $i,B: $i,C: $i] :
      ( ( ( accessible_world @ B @ C )
        & ( unisex @ B @ A ) )
     => ( unisex @ C @ A ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[52]) ).

thf(44,axiom,
    ! [A: $i,B: $i,C: $i] :
      ( ( ( accessible_world @ B @ C )
        & ( smoke @ B @ A ) )
     => ( smoke @ C @ A ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax68) ).

thf(187,plain,
    ! [A: $i,B: $i,C: $i] :
      ( ( ( accessible_world @ B @ C )
        & ( smoke @ B @ A ) )
     => ( smoke @ C @ A ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[44]) ).

thf(37,axiom,
    ! [A: $i,B: $i,C: $i] :
      ( ( ( accessible_world @ B @ C )
        & ( organism @ B @ A ) )
     => ( organism @ C @ A ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax47) ).

thf(172,plain,
    ! [A: $i,B: $i,C: $i] :
      ( ( ( accessible_world @ B @ C )
        & ( organism @ B @ A ) )
     => ( organism @ C @ A ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[37]) ).

thf(8,axiom,
    ! [A: $i,B: $i] :
      ( ( eventuality @ A @ B )
     => ( unisex @ A @ B ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax24) ).

thf(113,plain,
    ! [A: $i,B: $i] :
      ( ( eventuality @ A @ B )
     => ( unisex @ A @ B ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[8]) ).

thf(65,axiom,
    ! [A: $i,B: $i,C: $i] :
      ( ( ( accessible_world @ B @ C )
        & ( nonexistent @ B @ A ) )
     => ( nonexistent @ C @ A ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax62) ).

thf(230,plain,
    ! [A: $i,B: $i,C: $i] :
      ( ( ( accessible_world @ B @ C )
        & ( nonexistent @ B @ A ) )
     => ( nonexistent @ C @ A ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[65]) ).

thf(54,axiom,
    ! [A: $i,B: $i,C: $i] :
      ( ( ( accessible_world @ B @ C )
        & ( animate @ B @ A ) )
     => ( animate @ C @ A ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax41) ).

thf(208,plain,
    ! [A: $i,B: $i,C: $i] :
      ( ( ( accessible_world @ B @ C )
        & ( animate @ B @ A ) )
     => ( animate @ C @ A ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[54]) ).

thf(3,axiom,
    ! [A: $i,B: $i] :
      ( ( thing @ A @ B )
     => ( singleton @ A @ B ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax27) ).

thf(103,plain,
    ! [A: $i,B: $i] :
      ( ( thing @ A @ B )
     => ( singleton @ A @ B ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).

thf(70,axiom,
    ! [A: $i,B: $i,C: $i] :
      ( ( ( accessible_world @ B @ C )
        & ( living @ B @ A ) )
     => ( living @ C @ A ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax43) ).

thf(240,plain,
    ! [A: $i,B: $i,C: $i] :
      ( ( ( accessible_world @ B @ C )
        & ( living @ B @ A ) )
     => ( living @ C @ A ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[70]) ).

thf(29,axiom,
    ! [A: $i,B: $i] :
      ( ( state @ A @ B )
     => ( event @ A @ B ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax16) ).

thf(155,plain,
    ! [A: $i,B: $i] :
      ( ( state @ A @ B )
     => ( event @ A @ B ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[29]) ).

thf(19,axiom,
    ! [A: $i,B: $i] :
      ( ( unisex @ A @ B )
     => ~ ( male @ A @ B ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax34) ).

thf(135,plain,
    ! [A: $i,B: $i] :
      ( ( unisex @ A @ B )
     => ~ ( male @ A @ B ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[19]) ).

thf(63,axiom,
    ! [A: $i,B: $i,C: $i] :
      ( ( ( accessible_world @ B @ C )
        & ( human @ B @ A ) )
     => ( human @ C @ A ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax42) ).

thf(226,plain,
    ! [A: $i,B: $i,C: $i] :
      ( ( ( accessible_world @ B @ C )
        & ( human @ B @ A ) )
     => ( human @ C @ A ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[63]) ).

thf(32,axiom,
    ! [A: $i,B: $i,C: $i] :
      ( ( ( accessible_world @ B @ C )
        & ( nonhuman @ B @ A ) )
     => ( nonhuman @ C @ A ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax53) ).

thf(162,plain,
    ! [A: $i,B: $i,C: $i] :
      ( ( ( accessible_world @ B @ C )
        & ( nonhuman @ B @ A ) )
     => ( nonhuman @ C @ A ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[32]) ).

thf(13,axiom,
    ! [A: $i,B: $i] :
      ( ( relation @ A @ B )
     => ( abstraction @ A @ B ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax22) ).

thf(123,plain,
    ! [A: $i,B: $i] :
      ( ( relation @ A @ B )
     => ( abstraction @ A @ B ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[13]) ).

thf(24,axiom,
    ! [A: $i,B: $i] :
      ( ( abstraction @ A @ B )
     => ( nonhuman @ A @ B ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax20) ).

thf(145,plain,
    ! [A: $i,B: $i] :
      ( ( abstraction @ A @ B )
     => ( nonhuman @ A @ B ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[24]) ).

thf(42,axiom,
    ! [A: $i,B: $i,C: $i] :
      ( ( ( entity @ A @ B )
        & ( forename @ A @ C )
        & ( of @ A @ C @ B ) )
     => ~ ? [D: $i] :
            ( ( forename @ A @ D )
            & ( D != C )
            & ( of @ A @ D @ B ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax69) ).

thf(182,plain,
    ! [A: $i,B: $i,C: $i] :
      ( ( ( entity @ A @ B )
        & ( forename @ A @ C )
        & ( of @ A @ C @ B ) )
     => ~ ? [D: $i] :
            ( ( forename @ A @ D )
            & ( D != C )
            & ( of @ A @ D @ B ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[42]) ).

thf(15,axiom,
    ! [A: $i,B: $i] :
      ( ( organism @ A @ B )
     => ( impartial @ A @ B ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax9) ).

thf(127,plain,
    ! [A: $i,B: $i] :
      ( ( organism @ A @ B )
     => ( impartial @ A @ B ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[15]) ).

thf(11,axiom,
    ! [A: $i,B: $i] :
      ( ( entity @ A @ B )
     => ( specific @ A @ B ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax11) ).

thf(119,plain,
    ! [A: $i,B: $i] :
      ( ( entity @ A @ B )
     => ( specific @ A @ B ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[11]) ).

thf(73,axiom,
    ! [A: $i,B: $i,C: $i] :
      ( ( ( accessible_world @ B @ C )
        & ( singleton @ B @ A ) )
     => ( singleton @ C @ A ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax64) ).

thf(246,plain,
    ! [A: $i,B: $i,C: $i] :
      ( ( ( accessible_world @ B @ C )
        & ( singleton @ B @ A ) )
     => ( singleton @ C @ A ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[73]) ).

thf(57,axiom,
    ! [A: $i,B: $i] :
      ( ( smoke @ A @ B )
     => ( event @ A @ B ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax30) ).

thf(214,plain,
    ! [A: $i,B: $i] :
      ( ( smoke @ A @ B )
     => ( event @ A @ B ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[57]) ).

thf(27,axiom,
    ! [A: $i,B: $i,C: $i,D: $i] :
      ( ( ( accessible_world @ C @ D )
        & ( agent @ C @ A @ B ) )
     => ( agent @ D @ A @ B ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax59) ).

thf(151,plain,
    ! [A: $i,B: $i,C: $i,D: $i] :
      ( ( ( accessible_world @ C @ D )
        & ( agent @ C @ A @ B ) )
     => ( agent @ D @ A @ B ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[27]) ).

thf(35,axiom,
    ! [A: $i,B: $i,C: $i] :
      ( ( ( accessible_world @ B @ C )
        & ( abstraction @ B @ A ) )
     => ( abstraction @ C @ A ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax54) ).

thf(168,plain,
    ! [A: $i,B: $i,C: $i] :
      ( ( ( accessible_world @ B @ C )
        & ( abstraction @ B @ A ) )
     => ( abstraction @ C @ A ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[35]) ).

thf(55,axiom,
    ! [A: $i,B: $i,C: $i] :
      ( ( ( accessible_world @ B @ C )
        & ( jules_forename @ B @ A ) )
     => ( jules_forename @ C @ A ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax35) ).

thf(210,plain,
    ! [A: $i,B: $i,C: $i] :
      ( ( ( accessible_world @ B @ C )
        & ( jules_forename @ B @ A ) )
     => ( jules_forename @ C @ A ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[55]) ).

thf(5,axiom,
    ! [A: $i,B: $i] :
      ( ( entity @ A @ B )
     => ( existent @ A @ B ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax10) ).

thf(107,plain,
    ! [A: $i,B: $i] :
      ( ( entity @ A @ B )
     => ( existent @ A @ B ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).

thf(71,axiom,
    ! [A: $i,B: $i,C: $i] :
      ( ( ( accessible_world @ B @ C )
        & ( entity @ B @ A ) )
     => ( entity @ C @ A ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax46) ).

thf(242,plain,
    ! [A: $i,B: $i,C: $i] :
      ( ( ( accessible_world @ B @ C )
        & ( entity @ B @ A ) )
     => ( entity @ C @ A ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[71]) ).

thf(48,axiom,
    ! [A: $i,B: $i] :
      ( ( man @ A @ B )
     => ( human_person @ A @ B ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax15) ).

thf(195,plain,
    ! [A: $i,B: $i] :
      ( ( man @ A @ B )
     => ( human_person @ A @ B ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[48]) ).

thf(17,axiom,
    ! [A: $i,B: $i] :
      ( ( abstraction @ A @ B )
     => ( thing @ A @ B ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax21) ).

thf(131,plain,
    ! [A: $i,B: $i] :
      ( ( abstraction @ A @ B )
     => ( thing @ A @ B ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[17]) ).

thf(50,axiom,
    ! [A: $i,B: $i,C: $i] :
      ( ( ( accessible_world @ B @ C )
        & ( human_person @ B @ A ) )
     => ( human_person @ C @ A ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax48) ).

thf(200,plain,
    ! [A: $i,B: $i,C: $i] :
      ( ( ( accessible_world @ B @ C )
        & ( human_person @ B @ A ) )
     => ( human_person @ C @ A ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[50]) ).

thf(40,axiom,
    ! [A: $i,B: $i,C: $i] :
      ( ( ( accessible_world @ B @ C )
        & ( existent @ B @ A ) )
     => ( existent @ C @ A ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax45) ).

thf(178,plain,
    ! [A: $i,B: $i,C: $i] :
      ( ( ( accessible_world @ B @ C )
        & ( existent @ B @ A ) )
     => ( existent @ C @ A ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[40]) ).

thf(7,axiom,
    ! [A: $i,B: $i] :
      ( ( organism @ A @ B )
     => ( entity @ A @ B ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax13) ).

thf(111,plain,
    ! [A: $i,B: $i] :
      ( ( organism @ A @ B )
     => ( entity @ A @ B ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).

thf(61,axiom,
    ! [A: $i,B: $i] :
      ( ( jules_forename @ A @ B )
     => ( forename @ A @ B ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax1) ).

thf(222,plain,
    ! [A: $i,B: $i] :
      ( ( jules_forename @ A @ B )
     => ( forename @ A @ B ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[61]) ).

thf(66,axiom,
    ! [A: $i,B: $i,C: $i] :
      ( ( ( accessible_world @ B @ C )
        & ( eventuality @ B @ A ) )
     => ( eventuality @ C @ A ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax66) ).

thf(232,plain,
    ! [A: $i,B: $i,C: $i] :
      ( ( ( accessible_world @ B @ C )
        & ( eventuality @ B @ A ) )
     => ( eventuality @ C @ A ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[66]) ).

thf(248,plain,
    $false,
    inference(e,[status(thm)],[234,153,141,129,236,143,218,139,170,115,202,174,185,125,157,189,228,216,164,238,121,147,133,74,206,117,220,160,137,197,224,109,193,212,105,244,166,180,149,176,191,204,187,172,113,230,208,103,240,155,135,226,162,123,145,182,127,119,246,214,151,168,210,107,242,195,131,200,178,111,222,232]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.12  % Problem  : NLP251+1 : TPTP v8.1.2. Released v2.4.0.
% 0.13/0.14  % Command  : run_Leo-III %s %d
% 0.13/0.35  % Computer : n015.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit : 300
% 0.13/0.35  % WCLimit  : 300
% 0.13/0.35  % DateTime : Thu May 18 15:00:53 EDT 2023
% 0.13/0.35  % CPUTime  : 
% 0.85/0.82  % [INFO] 	 Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ... 
% 1.30/0.99  % [INFO] 	 Parsing done (168ms). 
% 1.30/1.00  % [INFO] 	 Running in sequential loop mode. 
% 1.85/1.22  % [INFO] 	 eprover registered as external prover. 
% 1.85/1.22  % [INFO] 	 cvc4 registered as external prover. 
% 1.85/1.22  % [INFO] 	 Scanning for conjecture ... 
% 2.20/1.34  % [INFO] 	 Found a conjecture and 71 axioms. Running axiom selection ... 
% 2.37/1.43  % [INFO] 	 Axiom selection finished. Selected 71 axioms (removed 0 axioms). 
% 2.67/1.49  % [INFO] 	 Problem is first-order (TPTP FOF). 
% 2.78/1.50  % [INFO] 	 Type checking passed. 
% 2.78/1.50  % [CONFIG] 	 Using configuration: timeout(300) with strategy<name(default),share(1.0),primSubst(3),sos(false),unifierCount(4),uniDepth(8),boolExt(true),choice(true),renaming(true),funcspec(false), domConstr(0),specialInstances(39),restrictUniAttempts(true),termOrdering(CPO)>.  Searching for refutation ... 
% 5.62/2.43  % External prover 'e' found a proof!
% 5.62/2.43  % [INFO] 	 Killing All external provers ... 
% 5.62/2.43  % Time passed: 1931ms (effective reasoning time: 1423ms)
% 5.62/2.43  % Solved by strategy<name(default),share(1.0),primSubst(3),sos(false),unifierCount(4),uniDepth(8),boolExt(true),choice(true),renaming(true),funcspec(false), domConstr(0),specialInstances(39),restrictUniAttempts(true),termOrdering(CPO)>
% 5.62/2.43  % Axioms used in derivation (71): ax13, ax39, ax59, ax33, ax43, ax37, ax14, ax12, ax53, ax20, ax52, ax67, ax24, ax63, ax56, ax4, ax47, ax41, ax31, ax28, ax9, ax17, ax6, ax45, ax40, ax35, ax58, ax69, ax27, ax66, ax8, ax51, ax48, ax21, ax62, ax10, ax55, ax32, ax16, ax1, ax7, ax38, ax44, ax26, ax61, ax11, ax50, ax65, ax22, ax15, ax19, ax2, ax70, ax54, ax49, ax46, ax34, ax23, ax25, ax60, ax71, ax57, ax68, ax30, ax42, ax18, ax3, ax5, ax36, ax64, ax29
% 5.62/2.43  % No. of inferences in proof: 146
% 5.62/2.43  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 1931 ms resp. 1423 ms w/o parsing
% 6.03/2.50  % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 6.03/2.50  % [INFO] 	 Killing All external provers ... 
%------------------------------------------------------------------------------