↑ Up

Faust---1.0.UNS-Ref.s

View TPTP
Problem
Process solution in
SystemOnTSTP
Download .tgz
%------------------------------------------------------------------------------
% File     : Faust---1.0
% Problem  : PLA003-1 : TPTP v3.4.2. Released v1.0.0.
% Transfm  : none
% Format   : tptp
% Command  : faust %s

% Computer : art05.cs.miami.edu
% Model    : i686 i686
% CPU      : Intel(R) Pentium(R) 4 CPU 2.80GHz @ 2793MHz
% Memory   : 1003MB
% OS       : Linux 2.6.17-1.2142_FC4
% CPULimit : 600s
% DateTime : Wed May  6 15:07:48 EDT 2009

% Result   : Unsatisfiable 0.1s
% Output   : Refutation 0.1s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    8
% Syntax   : Number of formulae    :   25 (  12 unt;   0 def)
%            Number of atoms       :   38 (   0 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :   29 (  16   ~;  13   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   3 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-3 aty)
%            Number of functors    :   11 (  11 usr;   8 con; 0-3 aty)
%            Number of variables   :   58 (  12 sgn  23   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(climb_up,plain,
    ! [A,B] :
      ( can(monkey(A,ceiling,nothing),ladder(A,floor),B)
      | ~ can(monkey(A,floor,nothing),ladder(A,floor),B) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PLA/PLA003-1.tptp',unknown),
    [] ).

cnf(167789120,plain,
    ( can(monkey(A,ceiling,nothing),ladder(A,floor),B)
    | ~ can(monkey(A,floor,nothing),ladder(A,floor),B) ),
    inference(rewrite,[status(thm)],[climb_up]),
    [] ).

fof(go_holding_nothing,plain,
    ! [A,B,C,D] :
      ( can(monkey(A,floor,nothing),B,C)
      | ~ can(monkey(D,floor,nothing),B,C) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PLA/PLA003-1.tptp',unknown),
    [] ).

cnf(167828704,plain,
    ( can(monkey(A,floor,nothing),B,C)
    | ~ can(monkey(D,floor,nothing),B,C) ),
    inference(rewrite,[status(thm)],[go_holding_nothing]),
    [] ).

cnf(175828592,plain,
    ( can(monkey(A,ceiling,nothing),ladder(A,floor),B)
    | ~ can(monkey(C,floor,nothing),ladder(A,floor),B) ),
    inference(resolution,[status(thm)],[167789120,167828704]),
    [] ).

fof(grab_ladder,plain,
    ! [A,B,C] :
      ( can(monkey(A,B,the_ladder),ladder(A,B),C)
      | ~ can(monkey(A,B,nothing),ladder(A,B),C) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PLA/PLA003-1.tptp',unknown),
    [] ).

cnf(167875048,plain,
    ( can(monkey(A,B,the_ladder),ladder(A,B),C)
    | ~ can(monkey(A,B,nothing),ladder(A,B),C) ),
    inference(rewrite,[status(thm)],[grab_ladder]),
    [] ).

fof(initial_situation,plain,
    can(monkey(l0,floor,nothing),ladder(l1,floor),bananas(l2,ceiling)),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PLA/PLA003-1.tptp',unknown),
    [] ).

cnf(167878912,plain,
    can(monkey(l0,floor,nothing),ladder(l1,floor),bananas(l2,ceiling)),
    inference(rewrite,[status(thm)],[initial_situation]),
    [] ).

cnf(175782232,plain,
    can(monkey(A,floor,nothing),ladder(l1,floor),bananas(l2,ceiling)),
    inference(resolution,[status(thm)],[167828704,167878912]),
    [] ).

cnf(176032208,plain,
    can(monkey(l1,floor,the_ladder),ladder(l1,floor),bananas(l2,ceiling)),
    inference(resolution,[status(thm)],[167875048,175782232]),
    [] ).

fof(go_holding_ladder,plain,
    ! [A,B,C] :
      ( can(monkey(A,floor,the_ladder),ladder(A,floor),B)
      | ~ can(monkey(C,floor,the_ladder),ladder(C,floor),B) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PLA/PLA003-1.tptp',unknown),
    [] ).

cnf(167804752,plain,
    ( can(monkey(A,floor,the_ladder),ladder(A,floor),B)
    | ~ can(monkey(C,floor,the_ladder),ladder(C,floor),B) ),
    inference(rewrite,[status(thm)],[go_holding_ladder]),
    [] ).

cnf(176107328,plain,
    can(monkey(A,floor,the_ladder),ladder(A,floor),bananas(l2,ceiling)),
    inference(resolution,[status(thm)],[176032208,167804752]),
    [] ).

fof(drop_ladder,plain,
    ! [A,B,C,D] :
      ( can(monkey(A,B,nothing),ladder(A,floor),C)
      | ~ can(monkey(A,B,the_ladder),ladder(A,D),C) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PLA/PLA003-1.tptp',unknown),
    [] ).

cnf(167853312,plain,
    ( can(monkey(A,B,nothing),ladder(A,floor),C)
    | ~ can(monkey(A,B,the_ladder),ladder(A,D),C) ),
    inference(rewrite,[status(thm)],[drop_ladder]),
    [] ).

cnf(176129720,plain,
    can(monkey(A,floor,nothing),ladder(A,floor),bananas(l2,ceiling)),
    inference(resolution,[status(thm)],[176107328,167853312]),
    [] ).

cnf(176147136,plain,
    can(monkey(B,floor,nothing),ladder(A,floor),bananas(l2,ceiling)),
    inference(resolution,[status(thm)],[176129720,167828704]),
    [] ).

cnf(176204424,plain,
    can(monkey(A,ceiling,nothing),ladder(A,floor),bananas(l2,ceiling)),
    inference(resolution,[status(thm)],[175828592,176147136]),
    [] ).

fof(grab_bananas,plain,
    ! [A,B,C] :
      ( can(monkey(A,B,the_bananas),C,bananas(A,B))
      | ~ can(monkey(A,B,nothing),C,bananas(A,B)) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PLA/PLA003-1.tptp',unknown),
    [] ).

cnf(167869240,plain,
    ( can(monkey(A,B,the_bananas),C,bananas(A,B))
    | ~ can(monkey(A,B,nothing),C,bananas(A,B)) ),
    inference(rewrite,[status(thm)],[grab_bananas]),
    [] ).

fof(prove_the_monkey_can_get_the_bananas,plain,
    ! [A,B,C,D] : ~ can(monkey(A,B,the_bananas),C,D),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PLA/PLA003-1.tptp',unknown),
    [] ).

cnf(167888168,plain,
    ~ can(monkey(A,B,the_bananas),C,D),
    inference(rewrite,[status(thm)],[prove_the_monkey_can_get_the_bananas]),
    [] ).

cnf(175693360,plain,
    ~ can(monkey(A,B,nothing),C,bananas(A,B)),
    inference(resolution,[status(thm)],[167869240,167888168]),
    [] ).

cnf(contradiction,plain,
    $false,
    inference(resolution,[status(thm)],[176204424,175693360]),
    [] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 0 seconds
% START OF PROOF SEQUENCE
% fof(climb_up,plain,(can(monkey(A,ceiling,nothing),ladder(A,floor),B)|~can(monkey(A,floor,nothing),ladder(A,floor),B)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PLA/PLA003-1.tptp',unknown),[]).
% 
% cnf(167789120,plain,(can(monkey(A,ceiling,nothing),ladder(A,floor),B)|~can(monkey(A,floor,nothing),ladder(A,floor),B)),inference(rewrite,[status(thm)],[climb_up]),[]).
% 
% fof(go_holding_nothing,plain,(can(monkey(A,floor,nothing),B,C)|~can(monkey(D,floor,nothing),B,C)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PLA/PLA003-1.tptp',unknown),[]).
% 
% cnf(167828704,plain,(can(monkey(A,floor,nothing),B,C)|~can(monkey(D,floor,nothing),B,C)),inference(rewrite,[status(thm)],[go_holding_nothing]),[]).
% 
% cnf(175828592,plain,(can(monkey(A,ceiling,nothing),ladder(A,floor),B)|~can(monkey(C,floor,nothing),ladder(A,floor),B)),inference(resolution,[status(thm)],[167789120,167828704]),[]).
% 
% fof(grab_ladder,plain,(can(monkey(A,B,the_ladder),ladder(A,B),C)|~can(monkey(A,B,nothing),ladder(A,B),C)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PLA/PLA003-1.tptp',unknown),[]).
% 
% cnf(167875048,plain,(can(monkey(A,B,the_ladder),ladder(A,B),C)|~can(monkey(A,B,nothing),ladder(A,B),C)),inference(rewrite,[status(thm)],[grab_ladder]),[]).
% 
% fof(initial_situation,plain,(can(monkey(l0,floor,nothing),ladder(l1,floor),bananas(l2,ceiling))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PLA/PLA003-1.tptp',unknown),[]).
% 
% cnf(167878912,plain,(can(monkey(l0,floor,nothing),ladder(l1,floor),bananas(l2,ceiling))),inference(rewrite,[status(thm)],[initial_situation]),[]).
% 
% cnf(175782232,plain,(can(monkey(A,floor,nothing),ladder(l1,floor),bananas(l2,ceiling))),inference(resolution,[status(thm)],[167828704,167878912]),[]).
% 
% cnf(176032208,plain,(can(monkey(l1,floor,the_ladder),ladder(l1,floor),bananas(l2,ceiling))),inference(resolution,[status(thm)],[167875048,175782232]),[]).
% 
% fof(go_holding_ladder,plain,(can(monkey(A,floor,the_ladder),ladder(A,floor),B)|~can(monkey(C,floor,the_ladder),ladder(C,floor),B)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PLA/PLA003-1.tptp',unknown),[]).
% 
% cnf(167804752,plain,(can(monkey(A,floor,the_ladder),ladder(A,floor),B)|~can(monkey(C,floor,the_ladder),ladder(C,floor),B)),inference(rewrite,[status(thm)],[go_holding_ladder]),[]).
% 
% cnf(176107328,plain,(can(monkey(A,floor,the_ladder),ladder(A,floor),bananas(l2,ceiling))),inference(resolution,[status(thm)],[176032208,167804752]),[]).
% 
% fof(drop_ladder,plain,(can(monkey(A,B,nothing),ladder(A,floor),C)|~can(monkey(A,B,the_ladder),ladder(A,D),C)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PLA/PLA003-1.tptp',unknown),[]).
% 
% cnf(167853312,plain,(can(monkey(A,B,nothing),ladder(A,floor),C)|~can(monkey(A,B,the_ladder),ladder(A,D),C)),inference(rewrite,[status(thm)],[drop_ladder]),[]).
% 
% cnf(176129720,plain,(can(monkey(A,floor,nothing),ladder(A,floor),bananas(l2,ceiling))),inference(resolution,[status(thm)],[176107328,167853312]),[]).
% 
% cnf(176147136,plain,(can(monkey(B,floor,nothing),ladder(A,floor),bananas(l2,ceiling))),inference(resolution,[status(thm)],[176129720,167828704]),[]).
% 
% cnf(176204424,plain,(can(monkey(A,ceiling,nothing),ladder(A,floor),bananas(l2,ceiling))),inference(resolution,[status(thm)],[175828592,176147136]),[]).
% 
% fof(grab_bananas,plain,(can(monkey(A,B,the_bananas),C,bananas(A,B))|~can(monkey(A,B,nothing),C,bananas(A,B))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PLA/PLA003-1.tptp',unknown),[]).
% 
% cnf(167869240,plain,(can(monkey(A,B,the_bananas),C,bananas(A,B))|~can(monkey(A,B,nothing),C,bananas(A,B))),inference(rewrite,[status(thm)],[grab_bananas]),[]).
% 
% fof(prove_the_monkey_can_get_the_bananas,plain,(~can(monkey(A,B,the_bananas),C,D)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PLA/PLA003-1.tptp',unknown),[]).
% 
% cnf(167888168,plain,(~can(monkey(A,B,the_bananas),C,D)),inference(rewrite,[status(thm)],[prove_the_monkey_can_get_the_bananas]),[]).
% 
% cnf(175693360,plain,(~can(monkey(A,B,nothing),C,bananas(A,B))),inference(resolution,[status(thm)],[167869240,167888168]),[]).
% 
% cnf(contradiction,plain,$false,inference(resolution,[status(thm)],[176204424,175693360]),[]).
% 
% END OF PROOF SEQUENCE
% 
%------------------------------------------------------------------------------