TSTP Solution File: PLA020-1 by Faust---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Faust---1.0
% Problem  : PLA020-1 : TPTP v3.4.2. Released v1.1.0.
% Transfm  : none
% Format   : tptp
% Command  : faust %s

% Computer : art03.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 15:08:21 EDT 2009

% Result   : Unsatisfiable 0.7s
% Output   : Refutation 0.7s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    2
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   11 (   9 unt;   0 def)
%            Number of atoms       :   17 (   0 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   14 (   8   ~;   6   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   2 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    8 (   8 usr;   4 con; 0-2 aty)
%            Number of variables   :    8 (   1 sgn   4   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(prove_D,plain,
    ! [A] : ~ holds(clear(d),A),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PLA/PLA020-1.tptp',unknown),
    [] ).

cnf(171240136,plain,
    ~ holds(clear(d),A),
    inference(rewrite,[status(thm)],[prove_D]),
    [] ).

fof(initial_state7,plain,
    holds(clear(c),s0),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PLA/PLA020-1.tptp',unknown),
    [] ).

cnf(171223280,plain,
    holds(clear(c),s0),
    inference(rewrite,[status(thm)],[initial_state7]),
    [] ).

fof(initial_state8,plain,
    holds(empty,s0),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PLA/PLA020-1.tptp',unknown),
    [] ).

cnf(171231320,plain,
    holds(empty,s0),
    inference(rewrite,[status(thm)],[initial_state8]),
    [] ).

fof(pickup_2,plain,
    ! [A,B,C] :
      ( holds(clear(A),do(pickup(B),C))
      | ~ holds(on(B,A),C)
      | ~ holds(clear(B),C)
      | ~ holds(empty,C) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PLA/PLA020-1.tptp',unknown),
    [] ).

cnf(171065968,plain,
    ( holds(clear(A),do(pickup(B),C))
    | ~ holds(on(B,A),C)
    | ~ holds(clear(B),C)
    | ~ holds(empty,C) ),
    inference(rewrite,[status(thm)],[pickup_2]),
    [] ).

fof(initial_state3,plain,
    holds(on(c,d),s0),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PLA/PLA020-1.tptp',unknown),
    [] ).

cnf(171203312,plain,
    holds(on(c,d),s0),
    inference(rewrite,[status(thm)],[initial_state3]),
    [] ).

cnf(contradiction,plain,
    $false,
    inference(forward_subsumption_resolution__resolution,[status(thm)],[171240136,171223280,171231320,171065968,171203312]),
    [] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 0 seconds
% START OF PROOF SEQUENCE
% fof(prove_D,plain,(~holds(clear(d),A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PLA/PLA020-1.tptp',unknown),[]).
% 
% cnf(171240136,plain,(~holds(clear(d),A)),inference(rewrite,[status(thm)],[prove_D]),[]).
% 
% fof(initial_state7,plain,(holds(clear(c),s0)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PLA/PLA020-1.tptp',unknown),[]).
% 
% cnf(171223280,plain,(holds(clear(c),s0)),inference(rewrite,[status(thm)],[initial_state7]),[]).
% 
% fof(initial_state8,plain,(holds(empty,s0)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PLA/PLA020-1.tptp',unknown),[]).
% 
% cnf(171231320,plain,(holds(empty,s0)),inference(rewrite,[status(thm)],[initial_state8]),[]).
% 
% fof(pickup_2,plain,(holds(clear(A),do(pickup(B),C))|~holds(on(B,A),C)|~holds(clear(B),C)|~holds(empty,C)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PLA/PLA020-1.tptp',unknown),[]).
% 
% cnf(171065968,plain,(holds(clear(A),do(pickup(B),C))|~holds(on(B,A),C)|~holds(clear(B),C)|~holds(empty,C)),inference(rewrite,[status(thm)],[pickup_2]),[]).
% 
% fof(initial_state3,plain,(holds(on(c,d),s0)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PLA/PLA020-1.tptp',unknown),[]).
% 
% cnf(171203312,plain,(holds(on(c,d),s0)),inference(rewrite,[status(thm)],[initial_state3]),[]).
% 
% cnf(contradiction,plain,$false,inference(forward_subsumption_resolution__resolution,[status(thm)],[171240136,171223280,171231320,171065968,171203312]),[]).
% 
% END OF PROOF SEQUENCE
% 
%------------------------------------------------------------------------------