%------------------------------------------------------------------------------
% File     : Faust---1.0
% Problem  : SYN256-1 : 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 17:28:54 EDT 2009

% Result   : Unsatisfiable 0.3s
% Output   : Refutation 0.3s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   11 (   7 unt;   0 def)
%            Number of atoms       :   15 (   0 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :   10 (   6   ~;   4   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   2 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    4 (   3 usr;   1 prp; 0-3 aty)
%            Number of functors    :    2 (   2 usr;   2 con; 0-0 aty)
%            Number of variables   :   14 (   5 sgn   6   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(prove_this,plain,
    ~ n2(c),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN256-1.tptp',unknown),
    [] ).

cnf(164084160,plain,
    ~ n2(c),
    inference(rewrite,[status(thm)],[prove_this]),
    [] ).

fof(rule_137,plain,
    ! [A,B,C] :
      ( n2(A)
      | ~ p1(B,C,A) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN256-1.tptp',unknown),
    [] ).

cnf(161390928,plain,
    ( n2(A)
    | ~ p1(B,C,A) ),
    inference(rewrite,[status(thm)],[rule_137]),
    [] ).

fof(rule_085,plain,
    ! [A,B] :
      ( p1(A,A,A)
      | ~ p0(B,A) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN256-1.tptp',unknown),
    [] ).

cnf(160849624,plain,
    ( p1(A,A,A)
    | ~ p0(B,A) ),
    inference(rewrite,[status(thm)],[rule_085]),
    [] ).

fof(axiom_14,plain,
    ! [A] : p0(b,A),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN256-1.tptp',unknown),
    [] ).

cnf(159787976,plain,
    p0(b,A),
    inference(rewrite,[status(thm)],[axiom_14]),
    [] ).

cnf(174096240,plain,
    p1(A,A,A),
    inference(resolution,[status(thm)],[160849624,159787976]),
    [] ).

cnf(176369272,plain,
    n2(A),
    inference(resolution,[status(thm)],[161390928,174096240]),
    [] ).

cnf(contradiction,plain,
    $false,
    inference(resolution,[status(thm)],[164084160,176369272]),
    [] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 1 seconds
% START OF PROOF SEQUENCE
% fof(prove_this,plain,(~n2(c)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN256-1.tptp',unknown),[]).
% 
% cnf(164084160,plain,(~n2(c)),inference(rewrite,[status(thm)],[prove_this]),[]).
% 
% fof(rule_137,plain,(n2(A)|~p1(B,C,A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN256-1.tptp',unknown),[]).
% 
% cnf(161390928,plain,(n2(A)|~p1(B,C,A)),inference(rewrite,[status(thm)],[rule_137]),[]).
% 
% fof(rule_085,plain,(p1(A,A,A)|~p0(B,A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN256-1.tptp',unknown),[]).
% 
% cnf(160849624,plain,(p1(A,A,A)|~p0(B,A)),inference(rewrite,[status(thm)],[rule_085]),[]).
% 
% fof(axiom_14,plain,(p0(b,A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN256-1.tptp',unknown),[]).
% 
% cnf(159787976,plain,(p0(b,A)),inference(rewrite,[status(thm)],[axiom_14]),[]).
% 
% cnf(174096240,plain,(p1(A,A,A)),inference(resolution,[status(thm)],[160849624,159787976]),[]).
% 
% cnf(176369272,plain,(n2(A)),inference(resolution,[status(thm)],[161390928,174096240]),[]).
% 
% cnf(contradiction,plain,$false,inference(resolution,[status(thm)],[164084160,176369272]),[]).
% 
% END OF PROOF SEQUENCE
% 
%------------------------------------------------------------------------------