TSTP Solution File: MSC001-1 by Faust---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Faust---1.0
% Problem  : MSC001-1 : 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 14:05:06 EDT 2009

% Result   : Unsatisfiable 185.0s
% Output   : Refutation 185.0s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :   11
% Syntax   : Number of formulae    :   33 (   9 unt;   0 def)
%            Number of atoms       :   65 (   0 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   70 (  38   ~;  32   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   4 avg)
%            Maximal term depth    :    5 (   1 avg)
%            Number of predicates  :    5 (   4 usr;   1 prp; 0-3 aty)
%            Number of functors    :   10 (  10 usr;   6 con; 0-2 aty)
%            Number of variables   :   69 (  12 sgn  25   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(clause_2,plain,
    ! [A,B] : ~ hold(thing(A),do(let_go,B)),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MSC/MSC001-1.tptp',unknown),
    [] ).

cnf(162741288,plain,
    ~ hold(thing(A),do(let_go,B)),
    inference(rewrite,[status(thm)],[clause_2]),
    [] ).

fof(clause_5,plain,
    ! [A,B] : at(hand,A,do(go(A),B)),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MSC/MSC001-1.tptp',unknown),
    [] ).

cnf(162755552,plain,
    at(hand,A,do(go(A),B)),
    inference(rewrite,[status(thm)],[clause_5]),
    [] ).

fof(clause_7,plain,
    ! [A,B,C] :
      ( ~ at(thing(A),B,do(go(B),C))
      | at(thing(A),B,C)
      | hold(thing(A),C) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MSC/MSC001-1.tptp',unknown),
    [] ).

cnf(162767464,plain,
    ( ~ at(thing(A),B,do(go(B),C))
    | at(thing(A),B,C)
    | hold(thing(A),C) ),
    inference(rewrite,[status(thm)],[clause_7]),
    [] ).

fof(clause_14,plain,
    ! [A,B] :
      ( ~ at(hand,A,B)
      | at(thing(taken(B)),A,B) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MSC/MSC001-1.tptp',unknown),
    [] ).

cnf(162852840,plain,
    ( ~ at(hand,A,B)
    | at(thing(taken(B)),A,B) ),
    inference(rewrite,[status(thm)],[clause_14]),
    [] ).

cnf(183427088,plain,
    ( at(thing(taken(do(go(A),B))),A,B)
    | hold(thing(taken(do(go(A),B))),B) ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[162755552,162767464,162852840]),
    [] ).

fof(clause_9,plain,
    ! [A,B,C] :
      ( ~ hold(thing(A),B)
      | ~ at(hand,C,B)
      | at(thing(A),C,B) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MSC/MSC001-1.tptp',unknown),
    [] ).

cnf(162804944,plain,
    ( ~ hold(thing(A),B)
    | ~ at(hand,C,B)
    | at(thing(A),C,B) ),
    inference(rewrite,[status(thm)],[clause_9]),
    [] ).

cnf(170960912,plain,
    ( ~ hold(thing(A),do(go(B),C))
    | at(thing(A),B,do(go(B),C)) ),
    inference(resolution,[status(thm)],[162804944,162755552]),
    [] ).

fof(clause_11,plain,
    ! [A,B] :
      ( ~ red(A)
      | ~ at(A,there,B)
      | answer(B) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MSC/MSC001-1.tptp',unknown),
    [] ).

cnf(162821872,plain,
    ( ~ red(A)
    | ~ at(A,there,B)
    | answer(B) ),
    inference(rewrite,[status(thm)],[clause_11]),
    [] ).

fof(prove_there_is_a_red_thing,plain,
    ! [A] : ~ answer(A),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MSC/MSC001-1.tptp',unknown),
    [] ).

cnf(162731768,plain,
    ~ answer(A),
    inference(rewrite,[status(thm)],[prove_there_is_a_red_thing]),
    [] ).

cnf(170722616,plain,
    ( ~ red(A)
    | ~ at(A,there,B) ),
    inference(resolution,[status(thm)],[162821872,162731768]),
    [] ).

cnf(184578112,plain,
    ( ~ hold(thing(A),do(go(there),B))
    | ~ red(thing(A)) ),
    inference(resolution,[status(thm)],[170960912,170722616]),
    [] ).

fof(clause_13,plain,
    ! [A,B,C] :
      ( ~ hold(thing(A),B)
      | hold(thing(A),do(go(C),B)) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MSC/MSC001-1.tptp',unknown),
    [] ).

cnf(162836992,plain,
    ( ~ hold(thing(A),B)
    | hold(thing(A),do(go(C),B)) ),
    inference(rewrite,[status(thm)],[clause_13]),
    [] ).

cnf(202654656,plain,
    ( ~ red(thing(A))
    | ~ hold(thing(A),B) ),
    inference(resolution,[status(thm)],[184578112,162836992]),
    [] ).

fof(clause_17,plain,
    ! [A,B,C] :
      ( ~ at(A,B,do(let_go,C))
      | at(A,B,C) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MSC/MSC001-1.tptp',unknown),
    [] ).

cnf(162872360,plain,
    ( ~ at(A,B,do(let_go,C))
    | at(A,B,C) ),
    inference(rewrite,[status(thm)],[clause_17]),
    [] ).

fof(things_here_now_are_red,plain,
    ! [A] :
      ( ~ at(A,here,now)
      | red(A) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MSC/MSC001-1.tptp',unknown),
    [] ).

cnf(162877528,plain,
    ( ~ at(A,here,now)
    | red(A) ),
    inference(rewrite,[status(thm)],[things_here_now_are_red]),
    [] ).

cnf(171737320,plain,
    ( ~ at(A,here,do(let_go,now))
    | red(A) ),
    inference(resolution,[status(thm)],[162872360,162877528]),
    [] ).

cnf(202704200,plain,
    ( ~ hold(thing(A),B)
    | ~ at(thing(A),here,do(let_go,now)) ),
    inference(resolution,[status(thm)],[202654656,171737320]),
    [] ).

cnf(786116088,plain,
    ~ hold(thing(taken(do(go(here),do(let_go,now)))),A),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[162741288,183427088,202704200]),
    [] ).

fof(clause_8,plain,
    ! [A,B,C] :
      ( ~ at(hand,A,B)
      | ~ at(thing(C),A,B)
      | hold(thing(taken(B)),do(pick_up,B)) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MSC/MSC001-1.tptp',unknown),
    [] ).

cnf(162797344,plain,
    ( ~ at(hand,A,B)
    | ~ at(thing(C),A,B)
    | hold(thing(taken(B)),do(pick_up,B)) ),
    inference(rewrite,[status(thm)],[clause_8]),
    [] ).

cnf(185494648,plain,
    ( ~ at(hand,A,B)
    | hold(thing(taken(B)),do(pick_up,B)) ),
    inference(resolution,[status(thm)],[162797344,162852840]),
    [] ).

cnf(203129480,plain,
    hold(thing(taken(do(go(A),B))),do(pick_up,do(go(A),B))),
    inference(resolution,[status(thm)],[185494648,162755552]),
    [] ).

cnf(contradiction,plain,
    $false,
    inference(resolution,[status(thm)],[786116088,203129480]),
    [] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 184 seconds
% START OF PROOF SEQUENCE
% fof(clause_2,plain,(~hold(thing(A),do(let_go,B))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MSC/MSC001-1.tptp',unknown),[]).
% 
% cnf(162741288,plain,(~hold(thing(A),do(let_go,B))),inference(rewrite,[status(thm)],[clause_2]),[]).
% 
% fof(clause_5,plain,(at(hand,A,do(go(A),B))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MSC/MSC001-1.tptp',unknown),[]).
% 
% cnf(162755552,plain,(at(hand,A,do(go(A),B))),inference(rewrite,[status(thm)],[clause_5]),[]).
% 
% fof(clause_7,plain,(~at(thing(A),B,do(go(B),C))|at(thing(A),B,C)|hold(thing(A),C)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MSC/MSC001-1.tptp',unknown),[]).
% 
% cnf(162767464,plain,(~at(thing(A),B,do(go(B),C))|at(thing(A),B,C)|hold(thing(A),C)),inference(rewrite,[status(thm)],[clause_7]),[]).
% 
% fof(clause_14,plain,(~at(hand,A,B)|at(thing(taken(B)),A,B)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MSC/MSC001-1.tptp',unknown),[]).
% 
% cnf(162852840,plain,(~at(hand,A,B)|at(thing(taken(B)),A,B)),inference(rewrite,[status(thm)],[clause_14]),[]).
% 
% cnf(183427088,plain,(at(thing(taken(do(go(A),B))),A,B)|hold(thing(taken(do(go(A),B))),B)),inference(forward_subsumption_resolution__resolution,[status(thm)],[162755552,162767464,162852840]),[]).
% 
% fof(clause_9,plain,(~hold(thing(A),B)|~at(hand,C,B)|at(thing(A),C,B)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MSC/MSC001-1.tptp',unknown),[]).
% 
% cnf(162804944,plain,(~hold(thing(A),B)|~at(hand,C,B)|at(thing(A),C,B)),inference(rewrite,[status(thm)],[clause_9]),[]).
% 
% cnf(170960912,plain,(~hold(thing(A),do(go(B),C))|at(thing(A),B,do(go(B),C))),inference(resolution,[status(thm)],[162804944,162755552]),[]).
% 
% fof(clause_11,plain,(~red(A)|~at(A,there,B)|answer(B)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MSC/MSC001-1.tptp',unknown),[]).
% 
% cnf(162821872,plain,(~red(A)|~at(A,there,B)|answer(B)),inference(rewrite,[status(thm)],[clause_11]),[]).
% 
% fof(prove_there_is_a_red_thing,plain,(~answer(A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MSC/MSC001-1.tptp',unknown),[]).
% 
% cnf(162731768,plain,(~answer(A)),inference(rewrite,[status(thm)],[prove_there_is_a_red_thing]),[]).
% 
% cnf(170722616,plain,(~red(A)|~at(A,there,B)),inference(resolution,[status(thm)],[162821872,162731768]),[]).
% 
% cnf(184578112,plain,(~hold(thing(A),do(go(there),B))|~red(thing(A))),inference(resolution,[status(thm)],[170960912,170722616]),[]).
% 
% fof(clause_13,plain,(~hold(thing(A),B)|hold(thing(A),do(go(C),B))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MSC/MSC001-1.tptp',unknown),[]).
% 
% cnf(162836992,plain,(~hold(thing(A),B)|hold(thing(A),do(go(C),B))),inference(rewrite,[status(thm)],[clause_13]),[]).
% 
% cnf(202654656,plain,(~red(thing(A))|~hold(thing(A),B)),inference(resolution,[status(thm)],[184578112,162836992]),[]).
% 
% fof(clause_17,plain,(~at(A,B,do(let_go,C))|at(A,B,C)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MSC/MSC001-1.tptp',unknown),[]).
% 
% cnf(162872360,plain,(~at(A,B,do(let_go,C))|at(A,B,C)),inference(rewrite,[status(thm)],[clause_17]),[]).
% 
% fof(things_here_now_are_red,plain,(~at(A,here,now)|red(A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MSC/MSC001-1.tptp',unknown),[]).
% 
% cnf(162877528,plain,(~at(A,here,now)|red(A)),inference(rewrite,[status(thm)],[things_here_now_are_red]),[]).
% 
% cnf(171737320,plain,(~at(A,here,do(let_go,now))|red(A)),inference(resolution,[status(thm)],[162872360,162877528]),[]).
% 
% cnf(202704200,plain,(~hold(thing(A),B)|~at(thing(A),here,do(let_go,now))),inference(resolution,[status(thm)],[202654656,171737320]),[]).
% 
% cnf(786116088,plain,(~hold(thing(taken(do(go(here),do(let_go,now)))),A)),inference(forward_subsumption_resolution__resolution,[status(thm)],[162741288,183427088,202704200]),[]).
% 
% fof(clause_8,plain,(~at(hand,A,B)|~at(thing(C),A,B)|hold(thing(taken(B)),do(pick_up,B))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MSC/MSC001-1.tptp',unknown),[]).
% 
% cnf(162797344,plain,(~at(hand,A,B)|~at(thing(C),A,B)|hold(thing(taken(B)),do(pick_up,B))),inference(rewrite,[status(thm)],[clause_8]),[]).
% 
% cnf(185494648,plain,(~at(hand,A,B)|hold(thing(taken(B)),do(pick_up,B))),inference(resolution,[status(thm)],[162797344,162852840]),[]).
% 
% cnf(203129480,plain,(hold(thing(taken(do(go(A),B))),do(pick_up,do(go(A),B)))),inference(resolution,[status(thm)],[185494648,162755552]),[]).
% 
% cnf(contradiction,plain,$false,inference(resolution,[status(thm)],[786116088,203129480]),[]).
% 
% END OF PROOF SEQUENCE
% 
%------------------------------------------------------------------------------