%------------------------------------------------------------------------------
% File     : PLA060_1 : TPTP v9.3.1. Released v9.3.0.
% Domain   : Planning
% Problem  : Watertank
% Version  : Especial.
% English  :

% Refs     : [Kru09] Kruglov (2009), Email to Geoff Sutcliffe
% Source   : [Kru09]
% Names    : watertank.dfg [Kru09]

% Status   : Theorem
% Rating   : 0.00 v9.3.0
% Syntax   : Number of formulae    :   12 (   0 unt;   5 typ;   0 def)
%            Number of atoms       :   24 (   2 equ)
%            Maximal formula atoms :    4 (   3 avg)
%            Number of connectives :   17 (   0   ~;   0   |;   9   &)
%                                         (   0 <=>;   8  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   6 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number arithmetic     :   42 (   8 atm;   4 fun;  10 num;  20 var)
%            Number of types       :    2 (   0 usr;   1 ari;   0 dat;   0 cdt)
%            Number of type conns  :   10 (   5   >;   5   *;   0   +;   0  <<)
%            Number of predicates  :    8 (   5 usr;   0 prp; 2-2 aty)
%            Number of functors    :    6 (   0 usr;   4 con; 0-2 aty)
%            Number of variables   :   20 (  18   !;   2   ?;  20   :)
% SPC      : TF0_THM_EQU_ARI_NDT

% Comments :
%------------------------------------------------------------------------------
tff(type_s0,type,
    s0: ( $int * $int ) > $o ).

tff(type_s1,type,
    s1: ( $int * $int ) > $o ).

tff(type_s2,type,
    s2: ( $int * $int ) > $o ).

tff(type_s3,type,
    s3: ( $int * $int ) > $o ).

tff(type_s4,type,
    s4: ( $int * $int ) > $o ).

tff(ax1,axiom,
    ! [X: $int,Y: $int] :
      ( ( s0(X,Y)
        & $greatereq(X,200) )
     => s1(X,Y) ) ).

tff(ax2,axiom,
    ! [X: $int,Y: $int] :
      ( ( s0(X,Y)
        & $lesseq(X,200) )
     => s3(X,Y) ) ).

tff(ax3,axiom,
    ! [X: $int,Y: $int,Z: $int] :
      ( ( s1(X,Y)
        & $lesseq(Z,40)
        & $greatereq(Z,0) )
     => s2(X,Z) ) ).

tff(ax4,axiom,
    ! [X: $int,Y: $int,Z: $int] :
      ( ( s3(X,Y)
        & $lesseq(Z,40)
        & $greatereq(Z,0) )
     => s4(X,Z) ) ).

tff(ax5,axiom,
    ! [X: $int,Y: $int,Z: $int] :
      ( ( s2(X,Y)
        & ( Z = $difference($sum($sum(X,Y),0),40) ) )
     => s0(Z,Y) ) ).

tff(ax6,axiom,
    ! [X: $int,Y: $int,Z: $int] :
      ( ( s4(X,Y)
        & ( Z = $sum(X,Y) ) )
     => s0(Z,Y) ) ).

tff(conj1,conjecture,
    ( ! [X: $int,Y: $int] :
        ( $lesseq(X,200)
       => s0(X,Y) )
   => ? [U: $int,V: $int] :
        ( s0(U,V)
        & $greatereq(U,240) ) ) ).

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