%------------------------------------------------------------------------------
% File     : Faust---1.0
% Problem  : SYN262-1 : TPTP v3.4.2. Released v1.1.0.
% Transfm  : none
% Format   : tptp
% Command  : faust %s

% Computer : art09.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 17:33:42 EDT 2009

% Result   : Unsatisfiable 0.7s
% Output   : Refutation 0.7s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   16 (  11 unt;   0 def)
%            Number of atoms       :   24 (   0 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   19 (  11   ~;   8   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   2 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    5 (   4 usr;   1 prp; 0-3 aty)
%            Number of functors    :    3 (   3 usr;   3 con; 0-0 aty)
%            Number of variables   :   18 (   6 sgn   7   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(rule_071,plain,
    ! [A,B,C,D] :
      ( p1(A,B,A)
      | ~ l0(C)
      | ~ p1(B,D,A)
      | ~ s0(b) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN262-1.tptp',unknown),
    [] ).

fof(axiom_5,plain,
    s0(b),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN262-1.tptp',unknown),
    [] ).

cnf(161275392,plain,
    s0(b),
    inference(rewrite,[status(thm)],[axiom_5]),
    [] ).

cnf(162237064,plain,
    ( p1(A,B,A)
    | ~ l0(C)
    | ~ p1(B,D,A) ),
    inference(rewrite__forward_subsumption_resolution,[status(thm)],[rule_071,161275392]),
    [] ).

fof(rule_069,plain,
    ! [A,B] :
      ( p1(A,A,B)
      | ~ p0(B,A) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN262-1.tptp',unknown),
    [] ).

cnf(162213864,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/SYN262-1.tptp',unknown),
    [] ).

cnf(161323192,plain,
    p0(b,A),
    inference(rewrite,[status(thm)],[axiom_14]),
    [] ).

cnf(175668328,plain,
    p1(A,A,b),
    inference(resolution,[status(thm)],[162213864,161323192]),
    [] ).

cnf(188298816,plain,
    ( p1(b,A,b)
    | ~ l0(B) ),
    inference(resolution,[status(thm)],[162237064,175668328]),
    [] ).

fof(prove_this,plain,
    ~ p1(b,c,b),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN262-1.tptp',unknown),
    [] ).

cnf(165619568,plain,
    ~ p1(b,c,b),
    inference(rewrite,[status(thm)],[prove_this]),
    [] ).

cnf(188487184,plain,
    ~ l0(A),
    inference(resolution,[status(thm)],[188298816,165619568]),
    [] ).

fof(axiom_20,plain,
    l0(a),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN262-1.tptp',unknown),
    [] ).

cnf(161350320,plain,
    l0(a),
    inference(rewrite,[status(thm)],[axiom_20]),
    [] ).

cnf(contradiction,plain,
    $false,
    inference(resolution,[status(thm)],[188487184,161350320]),
    [] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 1 seconds
% START OF PROOF SEQUENCE
% fof(rule_071,plain,(p1(A,B,A)|~l0(C)|~p1(B,D,A)|~s0(b)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN262-1.tptp',unknown),[]).
% 
% fof(axiom_5,plain,(s0(b)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN262-1.tptp',unknown),[]).
% 
% cnf(161275392,plain,(s0(b)),inference(rewrite,[status(thm)],[axiom_5]),[]).
% 
% cnf(162237064,plain,(p1(A,B,A)|~l0(C)|~p1(B,D,A)),inference(rewrite__forward_subsumption_resolution,[status(thm)],[rule_071,161275392]),[]).
% 
% fof(rule_069,plain,(p1(A,A,B)|~p0(B,A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN262-1.tptp',unknown),[]).
% 
% cnf(162213864,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/SYN262-1.tptp',unknown),[]).
% 
% cnf(161323192,plain,(p0(b,A)),inference(rewrite,[status(thm)],[axiom_14]),[]).
% 
% cnf(175668328,plain,(p1(A,A,b)),inference(resolution,[status(thm)],[162213864,161323192]),[]).
% 
% cnf(188298816,plain,(p1(b,A,b)|~l0(B)),inference(resolution,[status(thm)],[162237064,175668328]),[]).
% 
% fof(prove_this,plain,(~p1(b,c,b)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN262-1.tptp',unknown),[]).
% 
% cnf(165619568,plain,(~p1(b,c,b)),inference(rewrite,[status(thm)],[prove_this]),[]).
% 
% cnf(188487184,plain,(~l0(A)),inference(resolution,[status(thm)],[188298816,165619568]),[]).
% 
% fof(axiom_20,plain,(l0(a)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN262-1.tptp',unknown),[]).
% 
% cnf(161350320,plain,(l0(a)),inference(rewrite,[status(thm)],[axiom_20]),[]).
% 
% cnf(contradiction,plain,$false,inference(resolution,[status(thm)],[188487184,161350320]),[]).
% 
% END OF PROOF SEQUENCE
% 
%------------------------------------------------------------------------------