%------------------------------------------------------------------------------
% File     : Faust---1.0
% Problem  : SYN174-1 : TPTP v3.4.2. Released v1.1.0.
% Transfm  : none
% Format   : tptp
% Command  : faust %s

% Computer : art01.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 17:06:42 EDT 2009

% Result   : Unsatisfiable 1.2s
% Output   : Refutation 1.2s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   11 (   8 unt;   0 def)
%            Number of atoms       :   16 (   0 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   12 (   7   ~;   5   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   2 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    4 (   3 usr;   1 prp; 0-3 aty)
%            Number of functors    :    4 (   4 usr;   4 con; 0-0 aty)
%            Number of variables   :   14 (   4 sgn   5   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(rule_092,plain,
    ! [A,B,C,D] :
      ( q1(A,B,A)
      | ~ n0(C,B)
      | ~ p0(D,A) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN174-1.tptp',unknown),
    [] ).

cnf(171700304,plain,
    ( q1(A,B,A)
    | ~ n0(C,B)
    | ~ p0(D,A) ),
    inference(rewrite,[status(thm)],[rule_092]),
    [] ).

fof(axiom_14,plain,
    ! [A] : p0(b,A),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN174-1.tptp',unknown),
    [] ).

cnf(170585888,plain,
    p0(b,A),
    inference(rewrite,[status(thm)],[axiom_14]),
    [] ).

cnf(203686144,plain,
    ( q1(A,B,A)
    | ~ n0(C,B) ),
    inference(resolution,[status(thm)],[171700304,170585888]),
    [] ).

fof(axiom_26,plain,
    n0(d,c),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN174-1.tptp',unknown),
    [] ).

cnf(170639144,plain,
    n0(d,c),
    inference(rewrite,[status(thm)],[axiom_26]),
    [] ).

cnf(203730344,plain,
    q1(A,c,A),
    inference(resolution,[status(thm)],[203686144,170639144]),
    [] ).

fof(prove_this,plain,
    ~ q1(e,c,e),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN174-1.tptp',unknown),
    [] ).

cnf(174882888,plain,
    ~ q1(e,c,e),
    inference(rewrite,[status(thm)],[prove_this]),
    [] ).

cnf(contradiction,plain,
    $false,
    inference(resolution,[status(thm)],[203730344,174882888]),
    [] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 1 seconds
% START OF PROOF SEQUENCE
% fof(rule_092,plain,(q1(A,B,A)|~n0(C,B)|~p0(D,A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN174-1.tptp',unknown),[]).
% 
% cnf(171700304,plain,(q1(A,B,A)|~n0(C,B)|~p0(D,A)),inference(rewrite,[status(thm)],[rule_092]),[]).
% 
% fof(axiom_14,plain,(p0(b,A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN174-1.tptp',unknown),[]).
% 
% cnf(170585888,plain,(p0(b,A)),inference(rewrite,[status(thm)],[axiom_14]),[]).
% 
% cnf(203686144,plain,(q1(A,B,A)|~n0(C,B)),inference(resolution,[status(thm)],[171700304,170585888]),[]).
% 
% fof(axiom_26,plain,(n0(d,c)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN174-1.tptp',unknown),[]).
% 
% cnf(170639144,plain,(n0(d,c)),inference(rewrite,[status(thm)],[axiom_26]),[]).
% 
% cnf(203730344,plain,(q1(A,c,A)),inference(resolution,[status(thm)],[203686144,170639144]),[]).
% 
% fof(prove_this,plain,(~q1(e,c,e)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN174-1.tptp',unknown),[]).
% 
% cnf(174882888,plain,(~q1(e,c,e)),inference(rewrite,[status(thm)],[prove_this]),[]).
% 
% cnf(contradiction,plain,$false,inference(resolution,[status(thm)],[203730344,174882888]),[]).
% 
% END OF PROOF SEQUENCE
% 
%------------------------------------------------------------------------------