TSTP Solution File: MSC002-2 by Faust---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Faust---1.0
% Problem  : MSC002-2 : TPTP v3.4.2. Released v1.0.0.
% Transfm  : none
% Format   : tptp
% Command  : faust %s

% Computer : art10.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 14:05:10 EDT 2009

% Result   : Unsatisfiable 0.5s
% Output   : Refutation 0.5s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :   10
% Syntax   : Number of formulae    :   31 (  14 unt;   0 def)
%            Number of atoms       :   54 (   0 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   51 (  28   ~;  23   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   3 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    7 (   6 usr;   1 prp; 0-3 aty)
%            Number of functors    :    7 (   7 usr;   4 con; 0-2 aty)
%            Number of variables   :   57 (  13 sgn  24   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(can_put_somewhere_if_grab_and_go_there,plain,
    ! [A,B,C,D] :
      ( ~ at(A,B,C)
      | ~ grabbed(A,C)
      | put(A,D,go(D,C)) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MSC/MSC002-2.tptp',unknown),
    [] ).

cnf(153186920,plain,
    ( ~ at(A,B,C)
    | ~ grabbed(A,C)
    | put(A,D,go(D,C)) ),
    inference(rewrite,[status(thm)],[can_put_somewhere_if_grab_and_go_there]),
    [] ).

fof(answer_if_red_and_put_there,plain,
    ! [A,B] :
      ( ~ red(A)
      | ~ put(A,there,B)
      | answer(B) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MSC/MSC002-2.tptp',unknown),
    [] ).

cnf(153162816,plain,
    ( ~ red(A)
    | ~ put(A,there,B)
    | answer(B) ),
    inference(rewrite,[status(thm)],[answer_if_red_and_put_there]),
    [] ).

fof(prove_there_is_an_answer_situation,plain,
    ! [A] : ~ answer(A),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MSC/MSC002-2.tptp',unknown),
    [] ).

cnf(153218248,plain,
    ~ answer(A),
    inference(rewrite,[status(thm)],[prove_there_is_an_answer_situation]),
    [] ).

cnf(161042472,plain,
    ( ~ red(A)
    | ~ put(A,there,B) ),
    inference(resolution,[status(thm)],[153162816,153218248]),
    [] ).

fof(everything_is_red,plain,
    ! [A,B] :
      ( ~ at(A,here,B)
      | red(A) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MSC/MSC002-2.tptp',unknown),
    [] ).

cnf(153131208,plain,
    ( ~ at(A,here,B)
    | red(A) ),
    inference(rewrite,[status(thm)],[everything_is_red]),
    [] ).

fof(something_is_here_now,plain,
    at(something,here,now),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MSC/MSC002-2.tptp',unknown),
    [] ).

cnf(153119192,plain,
    at(something,here,now),
    inference(rewrite,[status(thm)],[something_is_here_now]),
    [] ).

cnf(161051952,plain,
    red(something),
    inference(resolution,[status(thm)],[153131208,153119192]),
    [] ).

cnf(161429232,plain,
    ~ put(something,there,A),
    inference(resolution,[status(thm)],[161042472,161051952]),
    [] ).

cnf(168832072,plain,
    ( ~ at(something,A,B)
    | ~ grabbed(something,B) ),
    inference(resolution,[status(thm)],[153186920,161429232]),
    [] ).

fof(situation_pick_up,plain,
    ! [A,B,C] :
      ( ~ at(A,B,C)
      | at(A,B,pick_up(C)) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MSC/MSC002-2.tptp',unknown),
    [] ).

cnf(153145592,plain,
    ( ~ at(A,B,C)
    | at(A,B,pick_up(C)) ),
    inference(rewrite,[status(thm)],[situation_pick_up]),
    [] ).

fof(thing_either_held_or_went_there,plain,
    ! [A,B,C,D] :
      ( held(A,B)
      | ~ at(A,C,B)
      | at(A,C,go(D,B)) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MSC/MSC002-2.tptp',unknown),
    [] ).

cnf(153209216,plain,
    ( held(A,B)
    | ~ at(A,C,B)
    | at(A,C,go(D,B)) ),
    inference(rewrite,[status(thm)],[thing_either_held_or_went_there]),
    [] ).

fof(situation_let_go,plain,
    ! [A,B,C] :
      ( ~ at(A,B,C)
      | at(A,B,let_go(C)) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MSC/MSC002-2.tptp',unknown),
    [] ).

cnf(153141192,plain,
    ( ~ at(A,B,C)
    | at(A,B,let_go(C)) ),
    inference(rewrite,[status(thm)],[situation_let_go]),
    [] ).

cnf(161066664,plain,
    at(something,here,let_go(now)),
    inference(resolution,[status(thm)],[153141192,153119192]),
    [] ).

cnf(161245424,plain,
    ( held(something,let_go(now))
    | at(something,here,go(A,let_go(now))) ),
    inference(resolution,[status(thm)],[153209216,161066664]),
    [] ).

fof(cant_hold_and_let_go,plain,
    ! [A,B] : ~ held(A,let_go(B)),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MSC/MSC002-2.tptp',unknown),
    [] ).

cnf(153124352,plain,
    ~ held(A,let_go(B)),
    inference(rewrite,[status(thm)],[cant_hold_and_let_go]),
    [] ).

cnf(161250176,plain,
    at(something,here,go(A,let_go(now))),
    inference(resolution,[status(thm)],[161245424,153124352]),
    [] ).

cnf(161304848,plain,
    at(something,here,pick_up(go(A,let_go(now)))),
    inference(resolution,[status(thm)],[153145592,161250176]),
    [] ).

cnf(180043192,plain,
    ~ grabbed(something,pick_up(go(A,let_go(now)))),
    inference(resolution,[status(thm)],[168832072,161304848]),
    [] ).

fof(can_grab_if_previously_let_go,plain,
    ! [A,B,C] :
      ( ~ at(A,B,C)
      | grabbed(A,pick_up(go(B,let_go(C)))) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MSC/MSC002-2.tptp',unknown),
    [] ).

cnf(153150320,plain,
    ( ~ at(A,B,C)
    | grabbed(A,pick_up(go(B,let_go(C)))) ),
    inference(rewrite,[status(thm)],[can_grab_if_previously_let_go]),
    [] ).

cnf(161100248,plain,
    grabbed(something,pick_up(go(here,let_go(now)))),
    inference(resolution,[status(thm)],[153150320,153119192]),
    [] ).

cnf(contradiction,plain,
    $false,
    inference(resolution,[status(thm)],[180043192,161100248]),
    [] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 0 seconds
% START OF PROOF SEQUENCE
% fof(can_put_somewhere_if_grab_and_go_there,plain,(~at(A,B,C)|~grabbed(A,C)|put(A,D,go(D,C))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MSC/MSC002-2.tptp',unknown),[]).
% 
% cnf(153186920,plain,(~at(A,B,C)|~grabbed(A,C)|put(A,D,go(D,C))),inference(rewrite,[status(thm)],[can_put_somewhere_if_grab_and_go_there]),[]).
% 
% fof(answer_if_red_and_put_there,plain,(~red(A)|~put(A,there,B)|answer(B)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MSC/MSC002-2.tptp',unknown),[]).
% 
% cnf(153162816,plain,(~red(A)|~put(A,there,B)|answer(B)),inference(rewrite,[status(thm)],[answer_if_red_and_put_there]),[]).
% 
% fof(prove_there_is_an_answer_situation,plain,(~answer(A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MSC/MSC002-2.tptp',unknown),[]).
% 
% cnf(153218248,plain,(~answer(A)),inference(rewrite,[status(thm)],[prove_there_is_an_answer_situation]),[]).
% 
% cnf(161042472,plain,(~red(A)|~put(A,there,B)),inference(resolution,[status(thm)],[153162816,153218248]),[]).
% 
% fof(everything_is_red,plain,(~at(A,here,B)|red(A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MSC/MSC002-2.tptp',unknown),[]).
% 
% cnf(153131208,plain,(~at(A,here,B)|red(A)),inference(rewrite,[status(thm)],[everything_is_red]),[]).
% 
% fof(something_is_here_now,plain,(at(something,here,now)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MSC/MSC002-2.tptp',unknown),[]).
% 
% cnf(153119192,plain,(at(something,here,now)),inference(rewrite,[status(thm)],[something_is_here_now]),[]).
% 
% cnf(161051952,plain,(red(something)),inference(resolution,[status(thm)],[153131208,153119192]),[]).
% 
% cnf(161429232,plain,(~put(something,there,A)),inference(resolution,[status(thm)],[161042472,161051952]),[]).
% 
% cnf(168832072,plain,(~at(something,A,B)|~grabbed(something,B)),inference(resolution,[status(thm)],[153186920,161429232]),[]).
% 
% fof(situation_pick_up,plain,(~at(A,B,C)|at(A,B,pick_up(C))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MSC/MSC002-2.tptp',unknown),[]).
% 
% cnf(153145592,plain,(~at(A,B,C)|at(A,B,pick_up(C))),inference(rewrite,[status(thm)],[situation_pick_up]),[]).
% 
% fof(thing_either_held_or_went_there,plain,(held(A,B)|~at(A,C,B)|at(A,C,go(D,B))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MSC/MSC002-2.tptp',unknown),[]).
% 
% cnf(153209216,plain,(held(A,B)|~at(A,C,B)|at(A,C,go(D,B))),inference(rewrite,[status(thm)],[thing_either_held_or_went_there]),[]).
% 
% fof(situation_let_go,plain,(~at(A,B,C)|at(A,B,let_go(C))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MSC/MSC002-2.tptp',unknown),[]).
% 
% cnf(153141192,plain,(~at(A,B,C)|at(A,B,let_go(C))),inference(rewrite,[status(thm)],[situation_let_go]),[]).
% 
% cnf(161066664,plain,(at(something,here,let_go(now))),inference(resolution,[status(thm)],[153141192,153119192]),[]).
% 
% cnf(161245424,plain,(held(something,let_go(now))|at(something,here,go(A,let_go(now)))),inference(resolution,[status(thm)],[153209216,161066664]),[]).
% 
% fof(cant_hold_and_let_go,plain,(~held(A,let_go(B))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MSC/MSC002-2.tptp',unknown),[]).
% 
% cnf(153124352,plain,(~held(A,let_go(B))),inference(rewrite,[status(thm)],[cant_hold_and_let_go]),[]).
% 
% cnf(161250176,plain,(at(something,here,go(A,let_go(now)))),inference(resolution,[status(thm)],[161245424,153124352]),[]).
% 
% cnf(161304848,plain,(at(something,here,pick_up(go(A,let_go(now))))),inference(resolution,[status(thm)],[153145592,161250176]),[]).
% 
% cnf(180043192,plain,(~grabbed(something,pick_up(go(A,let_go(now))))),inference(resolution,[status(thm)],[168832072,161304848]),[]).
% 
% fof(can_grab_if_previously_let_go,plain,(~at(A,B,C)|grabbed(A,pick_up(go(B,let_go(C))))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MSC/MSC002-2.tptp',unknown),[]).
% 
% cnf(153150320,plain,(~at(A,B,C)|grabbed(A,pick_up(go(B,let_go(C))))),inference(rewrite,[status(thm)],[can_grab_if_previously_let_go]),[]).
% 
% cnf(161100248,plain,(grabbed(something,pick_up(go(here,let_go(now))))),inference(resolution,[status(thm)],[153150320,153119192]),[]).
% 
% cnf(contradiction,plain,$false,inference(resolution,[status(thm)],[180043192,161100248]),[]).
% 
% END OF PROOF SEQUENCE
% 
%------------------------------------------------------------------------------