TSTP Solution File: PUZ029-1 by Faust---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Faust---1.0
% Problem  : PUZ029-1 : TPTP v3.4.2. Released v1.0.0.
% Transfm  : none
% Format   : tptp
% Command  : faust %s

% Computer : art08.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 15:11:51 EDT 2009

% Result   : Unsatisfiable 0.1s
% Output   : Refutation 0.1s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :   14
% Syntax   : Number of formulae    :   41 (  18 unt;   0 def)
%            Number of atoms       :   84 (   0 equ)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :   87 (  44   ~;  43   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   3 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :   14 (  13 usr;   1 prp; 0-1 aty)
%            Number of functors    :    1 (   1 usr;   1 con; 0-0 aty)
%            Number of variables   :   20 (   0 sgn  10   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(prove_piggy_is_no_balloonist,plain,
    balloonist(piggy),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PUZ/PUZ029-1.tptp',unknown),
    [] ).

cnf(158786016,plain,
    balloonist(piggy),
    inference(rewrite,[status(thm)],[prove_piggy_is_no_balloonist]),
    [] ).

fof(young_balloonists_get_giddy,plain,
    ! [A] :
      ( ~ balloonist(A)
      | ~ young(A)
      | liable_to_giddiness(A) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PUZ/PUZ029-1.tptp',unknown),
    [] ).

cnf(158704712,plain,
    ( ~ balloonist(A)
    | ~ young(A)
    | liable_to_giddiness(A) ),
    inference(rewrite,[status(thm)],[young_balloonists_get_giddy]),
    [] ).

fof(piggy_is_young,plain,
    young(piggy),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PUZ/PUZ029-1.tptp',unknown),
    [] ).

cnf(158776160,plain,
    young(piggy),
    inference(rewrite,[status(thm)],[piggy_is_young]),
    [] ).

cnf(166692920,plain,
    liable_to_giddiness(piggy),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[158786016,158704712,158776160]),
    [] ).

fof(giddy_pigs_reated_with_respect,plain,
    ! [A] :
      ( ~ pig(A)
      | ~ liable_to_giddiness(A)
      | treated_with_respect(A) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PUZ/PUZ029-1.tptp',unknown),
    [] ).

cnf(158674376,plain,
    ( ~ pig(A)
    | ~ liable_to_giddiness(A)
    | treated_with_respect(A) ),
    inference(rewrite,[status(thm)],[giddy_pigs_reated_with_respect]),
    [] ).

fof(piggy_is_a_pig,plain,
    pig(piggy),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PUZ/PUZ029-1.tptp',unknown),
    [] ).

cnf(158781048,plain,
    pig(piggy),
    inference(rewrite,[status(thm)],[piggy_is_a_pig]),
    [] ).

cnf(166706024,plain,
    treated_with_respect(piggy),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[166692920,158674376,158781048]),
    [] ).

fof(non_dancers_who_are_respected_are_fat,plain,
    ! [A] :
      ( dances_on_tightropes(A)
      | ~ treated_with_respect(A)
      | fat(A) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PUZ/PUZ029-1.tptp',unknown),
    [] ).

cnf(158749544,plain,
    ( dances_on_tightropes(A)
    | ~ treated_with_respect(A)
    | fat(A) ),
    inference(rewrite,[status(thm)],[non_dancers_who_are_respected_are_fat]),
    [] ).

fof(wise_giddy_dont_dance_on_tightrope,plain,
    ! [A] :
      ( ~ liable_to_giddiness(A)
      | ~ wise(A)
      | ~ dances_on_tightropes(A) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PUZ/PUZ029-1.tptp',unknown),
    [] ).

cnf(158731744,plain,
    ( ~ liable_to_giddiness(A)
    | ~ wise(A)
    | ~ dances_on_tightropes(A) ),
    inference(rewrite,[status(thm)],[wise_giddy_dont_dance_on_tightrope]),
    [] ).

fof(piggy_is_wise,plain,
    wise(piggy),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PUZ/PUZ029-1.tptp',unknown),
    [] ).

cnf(158767816,plain,
    wise(piggy),
    inference(rewrite,[status(thm)],[piggy_is_wise]),
    [] ).

cnf(166674112,plain,
    ( ~ liable_to_giddiness(piggy)
    | ~ dances_on_tightropes(piggy) ),
    inference(resolution,[status(thm)],[158731744,158767816]),
    [] ).

cnf(166724208,plain,
    ~ dances_on_tightropes(piggy),
    inference(resolution,[status(thm)],[166674112,166692920]),
    [] ).

cnf(166795288,plain,
    fat(piggy),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[166706024,158749544,166724208]),
    [] ).

fof(wise_ballonists_have_umbrellas,plain,
    ! [A] :
      ( ~ wise(A)
      | ~ balloonist(A)
      | has_umbrella(A) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PUZ/PUZ029-1.tptp',unknown),
    [] ).

cnf(158683120,plain,
    ( ~ wise(A)
    | ~ balloonist(A)
    | has_umbrella(A) ),
    inference(rewrite,[status(thm)],[wise_ballonists_have_umbrellas]),
    [] ).

cnf(166652712,plain,
    has_umbrella(piggy),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[158786016,158683120,158767816]),
    [] ).

fof(pigs_look_ridiculous_with_umbrellas,plain,
    ! [A] :
      ( ~ pig(A)
      | ~ has_umbrella(A)
      | looks_ridiculous(A) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PUZ/PUZ029-1.tptp',unknown),
    [] ).

cnf(158738640,plain,
    ( ~ pig(A)
    | ~ has_umbrella(A)
    | looks_ridiculous(A) ),
    inference(rewrite,[status(thm)],[pigs_look_ridiculous_with_umbrellas]),
    [] ).

cnf(166715056,plain,
    looks_ridiculous(piggy),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[166652712,158738640,158781048]),
    [] ).

fof(fat_ridiculous_off_tightrope_eat_in_public,plain,
    ! [A] :
      ( ~ fat(A)
      | ~ looks_ridiculous(A)
      | dances_on_tightropes(A)
      | eats_lunch_in_public(A) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PUZ/PUZ029-1.tptp',unknown),
    [] ).

cnf(158719048,plain,
    ( ~ fat(A)
    | ~ looks_ridiculous(A)
    | dances_on_tightropes(A)
    | eats_lunch_in_public(A) ),
    inference(rewrite,[status(thm)],[fat_ridiculous_off_tightrope_eat_in_public]),
    [] ).

cnf(166802056,plain,
    eats_lunch_in_public(piggy),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[166795288,166715056,158719048,166724208]),
    [] ).

fof(dont_look_ridiculous_eating_buns_in_public,plain,
    ! [A] :
      ( ~ looks_ridiculous(A)
      | ~ eats_pennybuns(A)
      | ~ eats_lunch_in_public(A) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PUZ/PUZ029-1.tptp',unknown),
    [] ).

cnf(158696040,plain,
    ( ~ looks_ridiculous(A)
    | ~ eats_pennybuns(A)
    | ~ eats_lunch_in_public(A) ),
    inference(rewrite,[status(thm)],[dont_look_ridiculous_eating_buns_in_public]),
    [] ).

cnf(166760264,plain,
    ( ~ eats_pennybuns(piggy)
    | ~ eats_lunch_in_public(piggy) ),
    inference(resolution,[status(thm)],[158696040,166715056]),
    [] ).

fof(boring_old_people,plain,
    ! [A] :
      ( dances_on_tightropes(A)
      | eats_pennybuns(A)
      | old(A) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PUZ/PUZ029-1.tptp',unknown),
    [] ).

cnf(158665600,plain,
    ( dances_on_tightropes(A)
    | eats_pennybuns(A)
    | old(A) ),
    inference(rewrite,[status(thm)],[boring_old_people]),
    [] ).

cnf(166780336,plain,
    ( eats_pennybuns(piggy)
    | old(piggy) ),
    inference(resolution,[status(thm)],[158665600,166724208]),
    [] ).

fof(not_young_and_old,plain,
    ! [A] :
      ( ~ young(A)
      | ~ old(A) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PUZ/PUZ029-1.tptp',unknown),
    [] ).

cnf(158763280,plain,
    ( ~ young(A)
    | ~ old(A) ),
    inference(rewrite,[status(thm)],[not_young_and_old]),
    [] ).

cnf(166687200,plain,
    ~ old(piggy),
    inference(resolution,[status(thm)],[158763280,158776160]),
    [] ).

cnf(166789616,plain,
    eats_pennybuns(piggy),
    inference(resolution,[status(thm)],[166780336,166687200]),
    [] ).

cnf(contradiction,plain,
    $false,
    inference(forward_subsumption_resolution__resolution,[status(thm)],[166802056,166760264,166789616]),
    [] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 0 seconds
% START OF PROOF SEQUENCE
% fof(prove_piggy_is_no_balloonist,plain,(balloonist(piggy)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PUZ/PUZ029-1.tptp',unknown),[]).
% 
% cnf(158786016,plain,(balloonist(piggy)),inference(rewrite,[status(thm)],[prove_piggy_is_no_balloonist]),[]).
% 
% fof(young_balloonists_get_giddy,plain,(~balloonist(A)|~young(A)|liable_to_giddiness(A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PUZ/PUZ029-1.tptp',unknown),[]).
% 
% cnf(158704712,plain,(~balloonist(A)|~young(A)|liable_to_giddiness(A)),inference(rewrite,[status(thm)],[young_balloonists_get_giddy]),[]).
% 
% fof(piggy_is_young,plain,(young(piggy)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PUZ/PUZ029-1.tptp',unknown),[]).
% 
% cnf(158776160,plain,(young(piggy)),inference(rewrite,[status(thm)],[piggy_is_young]),[]).
% 
% cnf(166692920,plain,(liable_to_giddiness(piggy)),inference(forward_subsumption_resolution__resolution,[status(thm)],[158786016,158704712,158776160]),[]).
% 
% fof(giddy_pigs_reated_with_respect,plain,(~pig(A)|~liable_to_giddiness(A)|treated_with_respect(A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PUZ/PUZ029-1.tptp',unknown),[]).
% 
% cnf(158674376,plain,(~pig(A)|~liable_to_giddiness(A)|treated_with_respect(A)),inference(rewrite,[status(thm)],[giddy_pigs_reated_with_respect]),[]).
% 
% fof(piggy_is_a_pig,plain,(pig(piggy)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PUZ/PUZ029-1.tptp',unknown),[]).
% 
% cnf(158781048,plain,(pig(piggy)),inference(rewrite,[status(thm)],[piggy_is_a_pig]),[]).
% 
% cnf(166706024,plain,(treated_with_respect(piggy)),inference(forward_subsumption_resolution__resolution,[status(thm)],[166692920,158674376,158781048]),[]).
% 
% fof(non_dancers_who_are_respected_are_fat,plain,(dances_on_tightropes(A)|~treated_with_respect(A)|fat(A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PUZ/PUZ029-1.tptp',unknown),[]).
% 
% cnf(158749544,plain,(dances_on_tightropes(A)|~treated_with_respect(A)|fat(A)),inference(rewrite,[status(thm)],[non_dancers_who_are_respected_are_fat]),[]).
% 
% fof(wise_giddy_dont_dance_on_tightrope,plain,(~liable_to_giddiness(A)|~wise(A)|~dances_on_tightropes(A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PUZ/PUZ029-1.tptp',unknown),[]).
% 
% cnf(158731744,plain,(~liable_to_giddiness(A)|~wise(A)|~dances_on_tightropes(A)),inference(rewrite,[status(thm)],[wise_giddy_dont_dance_on_tightrope]),[]).
% 
% fof(piggy_is_wise,plain,(wise(piggy)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PUZ/PUZ029-1.tptp',unknown),[]).
% 
% cnf(158767816,plain,(wise(piggy)),inference(rewrite,[status(thm)],[piggy_is_wise]),[]).
% 
% cnf(166674112,plain,(~liable_to_giddiness(piggy)|~dances_on_tightropes(piggy)),inference(resolution,[status(thm)],[158731744,158767816]),[]).
% 
% cnf(166724208,plain,(~dances_on_tightropes(piggy)),inference(resolution,[status(thm)],[166674112,166692920]),[]).
% 
% cnf(166795288,plain,(fat(piggy)),inference(forward_subsumption_resolution__resolution,[status(thm)],[166706024,158749544,166724208]),[]).
% 
% fof(wise_ballonists_have_umbrellas,plain,(~wise(A)|~balloonist(A)|has_umbrella(A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PUZ/PUZ029-1.tptp',unknown),[]).
% 
% cnf(158683120,plain,(~wise(A)|~balloonist(A)|has_umbrella(A)),inference(rewrite,[status(thm)],[wise_ballonists_have_umbrellas]),[]).
% 
% cnf(166652712,plain,(has_umbrella(piggy)),inference(forward_subsumption_resolution__resolution,[status(thm)],[158786016,158683120,158767816]),[]).
% 
% fof(pigs_look_ridiculous_with_umbrellas,plain,(~pig(A)|~has_umbrella(A)|looks_ridiculous(A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PUZ/PUZ029-1.tptp',unknown),[]).
% 
% cnf(158738640,plain,(~pig(A)|~has_umbrella(A)|looks_ridiculous(A)),inference(rewrite,[status(thm)],[pigs_look_ridiculous_with_umbrellas]),[]).
% 
% cnf(166715056,plain,(looks_ridiculous(piggy)),inference(forward_subsumption_resolution__resolution,[status(thm)],[166652712,158738640,158781048]),[]).
% 
% fof(fat_ridiculous_off_tightrope_eat_in_public,plain,(~fat(A)|~looks_ridiculous(A)|dances_on_tightropes(A)|eats_lunch_in_public(A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PUZ/PUZ029-1.tptp',unknown),[]).
% 
% cnf(158719048,plain,(~fat(A)|~looks_ridiculous(A)|dances_on_tightropes(A)|eats_lunch_in_public(A)),inference(rewrite,[status(thm)],[fat_ridiculous_off_tightrope_eat_in_public]),[]).
% 
% cnf(166802056,plain,(eats_lunch_in_public(piggy)),inference(forward_subsumption_resolution__resolution,[status(thm)],[166795288,166715056,158719048,166724208]),[]).
% 
% fof(dont_look_ridiculous_eating_buns_in_public,plain,(~looks_ridiculous(A)|~eats_pennybuns(A)|~eats_lunch_in_public(A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PUZ/PUZ029-1.tptp',unknown),[]).
% 
% cnf(158696040,plain,(~looks_ridiculous(A)|~eats_pennybuns(A)|~eats_lunch_in_public(A)),inference(rewrite,[status(thm)],[dont_look_ridiculous_eating_buns_in_public]),[]).
% 
% cnf(166760264,plain,(~eats_pennybuns(piggy)|~eats_lunch_in_public(piggy)),inference(resolution,[status(thm)],[158696040,166715056]),[]).
% 
% fof(boring_old_people,plain,(dances_on_tightropes(A)|eats_pennybuns(A)|old(A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PUZ/PUZ029-1.tptp',unknown),[]).
% 
% cnf(158665600,plain,(dances_on_tightropes(A)|eats_pennybuns(A)|old(A)),inference(rewrite,[status(thm)],[boring_old_people]),[]).
% 
% cnf(166780336,plain,(eats_pennybuns(piggy)|old(piggy)),inference(resolution,[status(thm)],[158665600,166724208]),[]).
% 
% fof(not_young_and_old,plain,(~young(A)|~old(A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PUZ/PUZ029-1.tptp',unknown),[]).
% 
% cnf(158763280,plain,(~young(A)|~old(A)),inference(rewrite,[status(thm)],[not_young_and_old]),[]).
% 
% cnf(166687200,plain,(~old(piggy)),inference(resolution,[status(thm)],[158763280,158776160]),[]).
% 
% cnf(166789616,plain,(eats_pennybuns(piggy)),inference(resolution,[status(thm)],[166780336,166687200]),[]).
% 
% cnf(contradiction,plain,$false,inference(forward_subsumption_resolution__resolution,[status(thm)],[166802056,166760264,166789616]),[]).
% 
% END OF PROOF SEQUENCE
% 
%------------------------------------------------------------------------------