%------------------------------------------------------------------------------
% File     : Faust---1.0
% Problem  : SYN201-1 : TPTP v3.4.2. Released v1.1.0.
% Transfm  : none
% Format   : tptp
% Command  : faust %s

% Computer : art07.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 17:14:46 EDT 2009

% Result   : Unsatisfiable 0.4s
% Output   : Refutation 0.4s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   17 (   8 unt;   0 def)
%            Number of atoms       :   28 (   0 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   24 (  13   ~;  11   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   3 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    6 (   5 usr;   1 prp; 0-3 aty)
%            Number of functors    :    1 (   1 usr;   1 con; 0-0 aty)
%            Number of variables   :   14 (   1 sgn   6   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(rule_181,plain,
    ! [A] :
      ( q2(A,A,A)
      | ~ p1(A,A,A) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN201-1.tptp',unknown),
    [] ).

cnf(174128552,plain,
    ( q2(A,A,A)
    | ~ p1(A,A,A) ),
    inference(rewrite,[status(thm)],[rule_181]),
    [] ).

fof(rule_069,plain,
    ! [A,B] :
      ( p1(A,A,B)
      | ~ p0(B,A) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN201-1.tptp',unknown),
    [] ).

cnf(172826552,plain,
    ( p1(A,A,B)
    | ~ p0(B,A) ),
    inference(rewrite,[status(thm)],[rule_069]),
    [] ).

fof(axiom_14,plain,
    ! [A] : p0(b,A),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN201-1.tptp',unknown),
    [] ).

cnf(171935880,plain,
    p0(b,A),
    inference(rewrite,[status(thm)],[axiom_14]),
    [] ).

cnf(186015936,plain,
    p1(A,A,b),
    inference(resolution,[status(thm)],[172826552,171935880]),
    [] ).

cnf(188086552,plain,
    q2(b,b,b),
    inference(resolution,[status(thm)],[174128552,186015936]),
    [] ).

fof(prove_this,plain,
    ~ s2(b),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN201-1.tptp',unknown),
    [] ).

cnf(174267552,plain,
    ~ s2(b),
    inference(rewrite,[status(thm)],[prove_this]),
    [] ).

fof(rule_189,plain,
    ! [A] :
      ( s2(A)
      | ~ q2(b,A,b)
      | ~ s1(b) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN201-1.tptp',unknown),
    [] ).

cnf(174257472,plain,
    ( s2(A)
    | ~ q2(b,A,b)
    | ~ s1(b) ),
    inference(rewrite,[status(thm)],[rule_189]),
    [] ).

fof(rule_125,plain,
    ! [A] :
      ( s1(A)
      | ~ p0(A,A) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN201-1.tptp',unknown),
    [] ).

cnf(173363112,plain,
    ( s1(A)
    | ~ p0(A,A) ),
    inference(rewrite,[status(thm)],[rule_125]),
    [] ).

cnf(186006528,plain,
    s1(b),
    inference(resolution,[status(thm)],[173363112,171935880]),
    [] ).

cnf(186277464,plain,
    ( s2(A)
    | ~ q2(b,A,b) ),
    inference(resolution,[status(thm)],[174257472,186006528]),
    [] ).

cnf(contradiction,plain,
    $false,
    inference(forward_subsumption_resolution__resolution,[status(thm)],[188086552,174267552,186277464]),
    [] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 0 seconds
% START OF PROOF SEQUENCE
% fof(rule_181,plain,(q2(A,A,A)|~p1(A,A,A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN201-1.tptp',unknown),[]).
% 
% cnf(174128552,plain,(q2(A,A,A)|~p1(A,A,A)),inference(rewrite,[status(thm)],[rule_181]),[]).
% 
% fof(rule_069,plain,(p1(A,A,B)|~p0(B,A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN201-1.tptp',unknown),[]).
% 
% cnf(172826552,plain,(p1(A,A,B)|~p0(B,A)),inference(rewrite,[status(thm)],[rule_069]),[]).
% 
% fof(axiom_14,plain,(p0(b,A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN201-1.tptp',unknown),[]).
% 
% cnf(171935880,plain,(p0(b,A)),inference(rewrite,[status(thm)],[axiom_14]),[]).
% 
% cnf(186015936,plain,(p1(A,A,b)),inference(resolution,[status(thm)],[172826552,171935880]),[]).
% 
% cnf(188086552,plain,(q2(b,b,b)),inference(resolution,[status(thm)],[174128552,186015936]),[]).
% 
% fof(prove_this,plain,(~s2(b)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN201-1.tptp',unknown),[]).
% 
% cnf(174267552,plain,(~s2(b)),inference(rewrite,[status(thm)],[prove_this]),[]).
% 
% fof(rule_189,plain,(s2(A)|~q2(b,A,b)|~s1(b)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN201-1.tptp',unknown),[]).
% 
% cnf(174257472,plain,(s2(A)|~q2(b,A,b)|~s1(b)),inference(rewrite,[status(thm)],[rule_189]),[]).
% 
% fof(rule_125,plain,(s1(A)|~p0(A,A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN201-1.tptp',unknown),[]).
% 
% cnf(173363112,plain,(s1(A)|~p0(A,A)),inference(rewrite,[status(thm)],[rule_125]),[]).
% 
% cnf(186006528,plain,(s1(b)),inference(resolution,[status(thm)],[173363112,171935880]),[]).
% 
% cnf(186277464,plain,(s2(A)|~q2(b,A,b)),inference(resolution,[status(thm)],[174257472,186006528]),[]).
% 
% cnf(contradiction,plain,$false,inference(forward_subsumption_resolution__resolution,[status(thm)],[188086552,174267552,186277464]),[]).
% 
% END OF PROOF SEQUENCE
% 
%------------------------------------------------------------------------------