%------------------------------------------------------------------------------
% File     : CSR127_8 : TPTP v9.0.0. Released v8.0.0.
% Domain   : Commonsense Reasoning
% Problem  : Did someone like Bill in 2009?
% Version  : Especial.
% English  : Mary likes Bill. During 2009, Sue liked everybody who was liked 
%            by Mary. Is it the case that during 2009 Bill was liked by 
%            somebody?

% Refs     : 
% Source   : [TPTP]
% Names    : 

% Status   : Theorem
% Rating   : 0.00 v8.1.0
% Syntax   : Number of formulae    :   11 (   3 unt;   8 typ;   0 def)
%            Number of atoms       :    6 (   0 equ)
%            Maximal formula atoms :    1 (   0 avg)
%            Number of connectives :    1 (   0   ~;   0   |;   0   &)
%                                         (   0 <=>;   1  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    2 (   2 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of FOOLs       :    2 (   2 fml;   0 var)
%            Number of types       :    3 (   1 usr)
%            Number of type conns  :    5 (   3   >;   2   *;   0   +;   0  <<)
%            Number of predicates  :    2 (   2 usr;   0 prp; 2-2 aty)
%            Number of functors    :    5 (   5 usr;   4 con; 0-1 aty)
%            Number of variables   :    2 (   1   !;   1   ?;   2   :)
% SPC      : TX0_THM_NEQ_NAR

% Comments : Translated to TXF from the THF version.
%------------------------------------------------------------------------------
%----The extracted signature
tff(numbers,type,
    num: $tType ).

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

tff(lBill_THFTYPE_i,type,
    lBill_THFTYPE_i: $i ).

tff(lMary_THFTYPE_i,type,
    lMary_THFTYPE_i: $i ).

tff(lSue_THFTYPE_i,type,
    lSue_THFTYPE_i: $i ).

tff(lYearFn_THFTYPE_IiiI,type,
    lYearFn_THFTYPE_IiiI: $i > $i ).

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

tff(n2009_THFTYPE_i,type,
    n2009_THFTYPE_i: $i ).

%----The translated axioms
tff(ax,axiom,
    likes_THFTYPE_IiioI(lMary_THFTYPE_i,lBill_THFTYPE_i) ).

tff(ax_001,axiom,
    ! [X: $i] :
      holdsDuring_THFTYPE_IiooI(lYearFn_THFTYPE_IiiI(n2009_THFTYPE_i),
        ( likes_THFTYPE_IiioI(lMary_THFTYPE_i,X)
       => likes_THFTYPE_IiioI(lSue_THFTYPE_i,X) )) ).

%----The translated conjecture
tff(con,conjecture,
    ? [Y: $i] : holdsDuring_THFTYPE_IiooI(lYearFn_THFTYPE_IiiI(n2009_THFTYPE_i),likes_THFTYPE_IiioI(Y,lBill_THFTYPE_i)) ).

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