TPTP Problem File: CSR152^3.p

View Solutions - Solve Problem

%------------------------------------------------------------------------------
% File     : CSR152^3 : TPTP v9.0.0. Released v5.3.0.
% Domain   : Commonsense Reasoning
% Problem  : Did someone like Bill in 2009?
% Version  : Especial.
% English  : During 2009 Mary liked Bill and Sue liked Bill. Is it the case
%            that someone liked Bill during 2009?

% Refs     : [BP10]  Benzmueller & Pease (2010), Progress in Automating Hig
%          : [Ben11] Benzmueller (2011), Email to Geoff Sutcliffe
% Source   : [Ben11]
% Names    :

% Status   : ContradictoryAxioms
% Rating   : 0.12 v9.0.0, 0.20 v8.2.0, 0.31 v8.1.0, 0.18 v7.5.0, 0.14 v7.4.0, 0.44 v7.2.0, 0.38 v7.1.0, 0.62 v7.0.0, 0.71 v6.4.0, 0.67 v6.3.0, 0.80 v6.2.0, 0.71 v6.1.0, 0.86 v5.5.0, 0.67 v5.4.0, 0.80 v5.3.0
% Syntax   : Number of formulae    : 5016 (1673 unt;1435 typ;   0 def)
%            Number of atoms       : 7498 ( 407 equ; 192 cnn)
%            Maximal formula atoms :   16 (   2 avg)
%            Number of connectives : 16667 ( 192   ~;  77   |;1313   &;14031   @)
%                                         ( 105 <=>; 949  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   26 (   5 avg)
%            Number of types       :    3 (   1 usr)
%            Number of type conns  : 1319 (1319   >;   0   *;   0   +;   0  <<)
%            Number of symbols     : 1439 (1435 usr; 994 con; 0-7 aty)
%            Number of variables   : 2571 (   2   ^;2076   !; 493   ?;2571   :)
% SPC      : TH0_CAX_EQU_NAR

% Comments :
%------------------------------------------------------------------------------
%----Include SUMO axioms
include('Axioms/CSR005^0.ax').
%------------------------------------------------------------------------------
%----The extracted Signature
thf(lBill_THFTYPE_i,type,
    lBill_THFTYPE_i: $i ).

thf(lChris_THFTYPE_i,type,
    lChris_THFTYPE_i: $i ).

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

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

thf(likes_THFTYPE_IiioI,type,
    likes_THFTYPE_IiioI: $i > $i > $o ).

%----The translated axioms
thf(ax,axiom,
    knows_THFTYPE_IiooI @ lChris_THFTYPE_i @ ( lChris_THFTYPE_i = lChris_THFTYPE_i ) ).

thf(ax_001,axiom,
    likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i ).

thf(ax_002,axiom,
    ( knows_THFTYPE_IiooI @ lChris_THFTYPE_i
    @ ! [X: $i] :
        ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ X )
       => ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ X ) ) ) ).

%----The translated conjectures
thf(con,conjecture,
    knows_THFTYPE_IiooI @ lChris_THFTYPE_i @ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i ) ).

%------------------------------------------------------------------------------