TSTP Solution File: SYN095-1.002 by Faust---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Faust---1.0
% Problem  : SYN095-1.002 : TPTP v3.4.2. Bugfixed v1.2.1.
% Transfm  : none
% Format   : tptp
% Command  : faust %s

% Computer : art02.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 16:43:09 EDT 2009

% Result   : Unsatisfiable 0.1s
% Output   : Refutation 0.1s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   10 (   8 unt;   0 def)
%            Number of atoms       :   14 (   0 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   10 (   6   ~;   4   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   2 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    4 (   3 usr;   1 prp; 0-1 aty)
%            Number of functors    :    1 (   1 usr;   1 con; 0-0 aty)
%            Number of variables   :    4 (   1 sgn   2   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(m_t2_3,plain,
    p_2_2(a),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN095-1.002.tptp',unknown),
    [] ).

cnf(149019736,plain,
    p_2_2(a),
    inference(rewrite,[status(thm)],[m_t2_3]),
    [] ).

fof(m_s2_type11_1,plain,
    ! [A] :
      ( p_1_2(A)
      | ~ p_2_2(A)
      | ~ p_1_1(A) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN095-1.002.tptp',unknown),
    [] ).

cnf(148967936,plain,
    ( p_1_2(A)
    | ~ p_2_2(A)
    | ~ p_1_1(A) ),
    inference(rewrite,[status(thm)],[m_s2_type11_1]),
    [] ).

fof(m_t2_1,plain,
    p_1_1(a),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN095-1.002.tptp',unknown),
    [] ).

cnf(149011136,plain,
    p_1_1(a),
    inference(rewrite,[status(thm)],[m_t2_1]),
    [] ).

cnf(156825792,plain,
    p_1_2(a),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[149019736,148967936,149011136]),
    [] ).

fof(m_s2_goal_1,plain,
    ! [A] : ~ p_1_2(A),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN095-1.002.tptp',unknown),
    [] ).

cnf(148959608,plain,
    ~ p_1_2(A),
    inference(rewrite,[status(thm)],[m_s2_goal_1]),
    [] ).

cnf(contradiction,plain,
    $false,
    inference(resolution,[status(thm)],[156825792,148959608]),
    [] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 0 seconds
% START OF PROOF SEQUENCE
% fof(m_t2_3,plain,(p_2_2(a)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN095-1.002.tptp',unknown),[]).
% 
% cnf(149019736,plain,(p_2_2(a)),inference(rewrite,[status(thm)],[m_t2_3]),[]).
% 
% fof(m_s2_type11_1,plain,(p_1_2(A)|~p_2_2(A)|~p_1_1(A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN095-1.002.tptp',unknown),[]).
% 
% cnf(148967936,plain,(p_1_2(A)|~p_2_2(A)|~p_1_1(A)),inference(rewrite,[status(thm)],[m_s2_type11_1]),[]).
% 
% fof(m_t2_1,plain,(p_1_1(a)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN095-1.002.tptp',unknown),[]).
% 
% cnf(149011136,plain,(p_1_1(a)),inference(rewrite,[status(thm)],[m_t2_1]),[]).
% 
% cnf(156825792,plain,(p_1_2(a)),inference(forward_subsumption_resolution__resolution,[status(thm)],[149019736,148967936,149011136]),[]).
% 
% fof(m_s2_goal_1,plain,(~p_1_2(A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN095-1.002.tptp',unknown),[]).
% 
% cnf(148959608,plain,(~p_1_2(A)),inference(rewrite,[status(thm)],[m_s2_goal_1]),[]).
% 
% cnf(contradiction,plain,$false,inference(resolution,[status(thm)],[156825792,148959608]),[]).
% 
% END OF PROOF SEQUENCE
% 
%------------------------------------------------------------------------------