%------------------------------------------------------------------------------
% File     : Faust---1.0
% Problem  : SYN032-1 : TPTP v3.4.2. Released v1.0.0.
% Transfm  : none
% Format   : tptp
% Command  : faust %s

% Computer : art04.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 16:38:08 EDT 2009

% Result   : Unsatisfiable 0.0s
% Output   : Refutation 0.0s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    7
% Syntax   : Number of formulae    :   17 (   5 unt;   0 def)
%            Number of atoms       :   34 (   0 equ)
%            Maximal formula atoms :    3 (   2 avg)
%            Number of connectives :   30 (  13   ~;  17   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   3 avg)
%            Maximal term depth    :    0 (   0 avg)
%            Number of predicates  :    7 (   6 usr;   7 prp; 0-0 aty)
%            Number of functors    :    0 (   0 usr;   0 con; --- aty)
%            Number of variables   :    0 (   0 sgn   0   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(five,plain,
    ( h
    | j
    | ~ k ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN032-1.tptp',unknown),
    [] ).

fof(four,plain,
    ( h
    | k
    | j ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN032-1.tptp',unknown),
    [] ).

cnf(145350160,plain,
    ( h
    | k
    | j ),
    inference(rewrite,[status(thm)],[four]),
    [] ).

cnf(145355080,plain,
    ( h
    | j ),
    inference(rewrite__forward_subsumption_resolution,[status(thm)],[five,145350160]),
    [] ).

fof(one,plain,
    ( ~ h
    | ~ c ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN032-1.tptp',unknown),
    [] ).

fof(seven,plain,
    ( c
    | ~ h ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN032-1.tptp',unknown),
    [] ).

cnf(145367720,plain,
    ( c
    | ~ h ),
    inference(rewrite,[status(thm)],[seven]),
    [] ).

cnf(145372536,plain,
    ~ h,
    inference(rewrite__forward_subsumption_resolution,[status(thm)],[one,145367720]),
    [] ).

cnf(153171864,plain,
    j,
    inference(resolution,[status(thm)],[145355080,145372536]),
    [] ).

fof(three,plain,
    ( h
    | a
    | ~ j ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN032-1.tptp',unknown),
    [] ).

cnf(145343600,plain,
    ( h
    | a
    | ~ j ),
    inference(rewrite,[status(thm)],[three]),
    [] ).

cnf(153178112,plain,
    a,
    inference(forward_subsumption_resolution__resolution,[status(thm)],[153171864,145343600,145372536]),
    [] ).

fof(prove_something,plain,
    ( ~ a
    | ~ b ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN032-1.tptp',unknown),
    [] ).

fof(six,plain,
    ( b
    | ~ a ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN032-1.tptp',unknown),
    [] ).

cnf(145361280,plain,
    ( b
    | ~ a ),
    inference(rewrite,[status(thm)],[six]),
    [] ).

cnf(145377208,plain,
    ~ a,
    inference(rewrite__forward_subsumption_resolution,[status(thm)],[prove_something,145361280]),
    [] ).

cnf(contradiction,plain,
    $false,
    inference(resolution,[status(thm)],[153178112,145377208]),
    [] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 0 seconds
% START OF PROOF SEQUENCE
% fof(five,plain,(h|j|~k),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN032-1.tptp',unknown),[]).
% 
% fof(four,plain,(h|k|j),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN032-1.tptp',unknown),[]).
% 
% cnf(145350160,plain,(h|k|j),inference(rewrite,[status(thm)],[four]),[]).
% 
% cnf(145355080,plain,(h|j),inference(rewrite__forward_subsumption_resolution,[status(thm)],[five,145350160]),[]).
% 
% fof(one,plain,(~h|~c),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN032-1.tptp',unknown),[]).
% 
% fof(seven,plain,(c|~h),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN032-1.tptp',unknown),[]).
% 
% cnf(145367720,plain,(c|~h),inference(rewrite,[status(thm)],[seven]),[]).
% 
% cnf(145372536,plain,(~h),inference(rewrite__forward_subsumption_resolution,[status(thm)],[one,145367720]),[]).
% 
% cnf(153171864,plain,(j),inference(resolution,[status(thm)],[145355080,145372536]),[]).
% 
% fof(three,plain,(h|a|~j),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN032-1.tptp',unknown),[]).
% 
% cnf(145343600,plain,(h|a|~j),inference(rewrite,[status(thm)],[three]),[]).
% 
% cnf(153178112,plain,(a),inference(forward_subsumption_resolution__resolution,[status(thm)],[153171864,145343600,145372536]),[]).
% 
% fof(prove_something,plain,(~a|~b),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN032-1.tptp',unknown),[]).
% 
% fof(six,plain,(b|~a),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN032-1.tptp',unknown),[]).
% 
% cnf(145361280,plain,(b|~a),inference(rewrite,[status(thm)],[six]),[]).
% 
% cnf(145377208,plain,(~a),inference(rewrite__forward_subsumption_resolution,[status(thm)],[prove_something,145361280]),[]).
% 
% cnf(contradiction,plain,$false,inference(resolution,[status(thm)],[153178112,145377208]),[]).
% 
% END OF PROOF SEQUENCE
% 
%------------------------------------------------------------------------------