TSTP Solution File: PLA002-1 by Faust---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Faust---1.0
% Problem  : PLA002-1 : 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 15:07:43 EDT 2009

% Result   : Unsatisfiable 0.1s
% Output   : Refutation 0.1s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    8
% Syntax   : Number of formulae    :   23 (  10 unt;   0 def)
%            Number of atoms       :   40 (   0 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   36 (  19   ~;  17   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   3 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    4 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :   10 (  10 usr;   6 con; 0-2 aty)
%            Number of variables   :   21 (   8 sgn   8   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(walk_b_to_a,plain,
    ! [A] :
      ( ~ at(b,A)
      | at(a,walk(a,A)) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PLA/PLA002-1.tptp',unknown),
    [] ).

cnf(154233696,plain,
    ( ~ at(b,A)
    | at(a,walk(a,A)) ),
    inference(rewrite,[status(thm)],[walk_b_to_a]),
    [] ).

fof(prove_you_can_get_to_a,plain,
    ! [A] : ~ at(a,A),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PLA/PLA002-1.tptp',unknown),
    [] ).

cnf(154322288,plain,
    ~ at(a,A),
    inference(rewrite,[status(thm)],[prove_you_can_get_to_a]),
    [] ).

cnf(162170840,plain,
    ~ at(b,A),
    inference(resolution,[status(thm)],[154233696,154322288]),
    [] ).

fof(climb_mountain_d_to_b,plain,
    ! [A] :
      ( ~ warm(A)
      | ~ at(d,A)
      | at(b,climb(b,A)) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PLA/PLA002-1.tptp',unknown),
    [] ).

cnf(154274312,plain,
    ( ~ warm(A)
    | ~ at(d,A)
    | at(b,climb(b,A)) ),
    inference(rewrite,[status(thm)],[climb_mountain_d_to_b]),
    [] ).

fof(cross_river_c_to_b,plain,
    ! [A] :
      ( ~ cold(A)
      | ~ at(c,A)
      | at(b,skate(b,A)) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PLA/PLA002-1.tptp',unknown),
    [] ).

cnf(154256016,plain,
    ( ~ cold(A)
    | ~ at(c,A)
    | at(b,skate(b,A)) ),
    inference(rewrite,[status(thm)],[cross_river_c_to_b]),
    [] ).

fof(warm_or_cold,plain,
    ! [A,B] :
      ( warm(A)
      | cold(B) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PLA/PLA002-1.tptp',unknown),
    [] ).

cnf(154212768,plain,
    ( warm(A)
    | cold(B) ),
    inference(rewrite,[status(thm)],[warm_or_cold]),
    [] ).

cnf(162650392,plain,
    ( ~ at(c,A)
    | warm(B) ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[162170840,154256016,154212768]),
    [] ).

fof(go_d_to_c,plain,
    ! [A] :
      ( ~ at(d,A)
      | at(c,go(c,A)) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PLA/PLA002-1.tptp',unknown),
    [] ).

cnf(154289904,plain,
    ( ~ at(d,A)
    | at(c,go(c,A)) ),
    inference(rewrite,[status(thm)],[go_d_to_c]),
    [] ).

fof(go_f_to_d,plain,
    ! [A] :
      ( ~ at(f,A)
      | at(d,go(d,A)) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PLA/PLA002-1.tptp',unknown),
    [] ).

cnf(154313288,plain,
    ( ~ at(f,A)
    | at(d,go(d,A)) ),
    inference(rewrite,[status(thm)],[go_f_to_d]),
    [] ).

fof(initial,plain,
    at(f,s0),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PLA/PLA002-1.tptp',unknown),
    [] ).

cnf(154317952,plain,
    at(f,s0),
    inference(rewrite,[status(thm)],[initial]),
    [] ).

cnf(162161312,plain,
    at(d,go(d,s0)),
    inference(resolution,[status(thm)],[154313288,154317952]),
    [] ).

cnf(162198952,plain,
    at(c,go(c,go(d,s0))),
    inference(resolution,[status(thm)],[154289904,162161312]),
    [] ).

cnf(162742128,plain,
    warm(A),
    inference(resolution,[status(thm)],[162650392,162198952]),
    [] ).

cnf(162976224,plain,
    ~ at(d,A),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[162170840,154274312,162742128]),
    [] ).

cnf(contradiction,plain,
    $false,
    inference(resolution,[status(thm)],[162976224,162161312]),
    [] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 0 seconds
% START OF PROOF SEQUENCE
% fof(walk_b_to_a,plain,(~at(b,A)|at(a,walk(a,A))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PLA/PLA002-1.tptp',unknown),[]).
% 
% cnf(154233696,plain,(~at(b,A)|at(a,walk(a,A))),inference(rewrite,[status(thm)],[walk_b_to_a]),[]).
% 
% fof(prove_you_can_get_to_a,plain,(~at(a,A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PLA/PLA002-1.tptp',unknown),[]).
% 
% cnf(154322288,plain,(~at(a,A)),inference(rewrite,[status(thm)],[prove_you_can_get_to_a]),[]).
% 
% cnf(162170840,plain,(~at(b,A)),inference(resolution,[status(thm)],[154233696,154322288]),[]).
% 
% fof(climb_mountain_d_to_b,plain,(~warm(A)|~at(d,A)|at(b,climb(b,A))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PLA/PLA002-1.tptp',unknown),[]).
% 
% cnf(154274312,plain,(~warm(A)|~at(d,A)|at(b,climb(b,A))),inference(rewrite,[status(thm)],[climb_mountain_d_to_b]),[]).
% 
% fof(cross_river_c_to_b,plain,(~cold(A)|~at(c,A)|at(b,skate(b,A))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PLA/PLA002-1.tptp',unknown),[]).
% 
% cnf(154256016,plain,(~cold(A)|~at(c,A)|at(b,skate(b,A))),inference(rewrite,[status(thm)],[cross_river_c_to_b]),[]).
% 
% fof(warm_or_cold,plain,(warm(A)|cold(B)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PLA/PLA002-1.tptp',unknown),[]).
% 
% cnf(154212768,plain,(warm(A)|cold(B)),inference(rewrite,[status(thm)],[warm_or_cold]),[]).
% 
% cnf(162650392,plain,(~at(c,A)|warm(B)),inference(forward_subsumption_resolution__resolution,[status(thm)],[162170840,154256016,154212768]),[]).
% 
% fof(go_d_to_c,plain,(~at(d,A)|at(c,go(c,A))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PLA/PLA002-1.tptp',unknown),[]).
% 
% cnf(154289904,plain,(~at(d,A)|at(c,go(c,A))),inference(rewrite,[status(thm)],[go_d_to_c]),[]).
% 
% fof(go_f_to_d,plain,(~at(f,A)|at(d,go(d,A))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PLA/PLA002-1.tptp',unknown),[]).
% 
% cnf(154313288,plain,(~at(f,A)|at(d,go(d,A))),inference(rewrite,[status(thm)],[go_f_to_d]),[]).
% 
% fof(initial,plain,(at(f,s0)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PLA/PLA002-1.tptp',unknown),[]).
% 
% cnf(154317952,plain,(at(f,s0)),inference(rewrite,[status(thm)],[initial]),[]).
% 
% cnf(162161312,plain,(at(d,go(d,s0))),inference(resolution,[status(thm)],[154313288,154317952]),[]).
% 
% cnf(162198952,plain,(at(c,go(c,go(d,s0)))),inference(resolution,[status(thm)],[154289904,162161312]),[]).
% 
% cnf(162742128,plain,(warm(A)),inference(resolution,[status(thm)],[162650392,162198952]),[]).
% 
% cnf(162976224,plain,(~at(d,A)),inference(forward_subsumption_resolution__resolution,[status(thm)],[162170840,154274312,162742128]),[]).
% 
% cnf(contradiction,plain,$false,inference(resolution,[status(thm)],[162976224,162161312]),[]).
% 
% END OF PROOF SEQUENCE
% 
%------------------------------------------------------------------------------