%------------------------------------------------------------------------------
% File     : Faust---1.0
% Problem  : SYN196-1 : TPTP v3.4.2. Released v1.1.0.
% 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 17:12:29 EDT 2009

% Result   : Unsatisfiable 0.2s
% Output   : Refutation 0.2s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   14 (   9 unt;   0 def)
%            Number of atoms       :   21 (   0 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   16 (   9   ~;   7   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   2 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    4 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :    3 (   3 usr;   3 con; 0-0 aty)
%            Number of variables   :   15 (   6 sgn   6   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(rule_126,plain,
    ! [A,B,C] :
      ( s1(A)
      | ~ q0(A,B)
      | ~ s1(C) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN196-1.tptp',unknown),
    [] ).

cnf(159298136,plain,
    ( s1(A)
    | ~ q0(A,B)
    | ~ s1(C) ),
    inference(rewrite,[status(thm)],[rule_126]),
    [] ).

fof(rule_125,plain,
    ! [A] :
      ( s1(A)
      | ~ p0(A,A) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN196-1.tptp',unknown),
    [] ).

cnf(159286000,plain,
    ( s1(A)
    | ~ p0(A,A) ),
    inference(rewrite,[status(thm)],[rule_125]),
    [] ).

fof(axiom_14,plain,
    ! [A] : p0(b,A),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN196-1.tptp',unknown),
    [] ).

cnf(157858752,plain,
    p0(b,A),
    inference(rewrite,[status(thm)],[axiom_14]),
    [] ).

cnf(171892944,plain,
    s1(b),
    inference(resolution,[status(thm)],[159286000,157858752]),
    [] ).

cnf(172069864,plain,
    ( s1(A)
    | ~ q0(A,B) ),
    inference(resolution,[status(thm)],[159298136,171892944]),
    [] ).

fof(axiom_17,plain,
    ! [A] : q0(A,d),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN196-1.tptp',unknown),
    [] ).

cnf(157874040,plain,
    q0(A,d),
    inference(rewrite,[status(thm)],[axiom_17]),
    [] ).

cnf(172255888,plain,
    s1(A),
    inference(resolution,[status(thm)],[172069864,157874040]),
    [] ).

fof(prove_this,plain,
    ~ s1(a),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN196-1.tptp',unknown),
    [] ).

cnf(162155648,plain,
    ~ s1(a),
    inference(rewrite,[status(thm)],[prove_this]),
    [] ).

cnf(contradiction,plain,
    $false,
    inference(resolution,[status(thm)],[172255888,162155648]),
    [] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 0 seconds
% START OF PROOF SEQUENCE
% fof(rule_126,plain,(s1(A)|~q0(A,B)|~s1(C)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN196-1.tptp',unknown),[]).
% 
% cnf(159298136,plain,(s1(A)|~q0(A,B)|~s1(C)),inference(rewrite,[status(thm)],[rule_126]),[]).
% 
% fof(rule_125,plain,(s1(A)|~p0(A,A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN196-1.tptp',unknown),[]).
% 
% cnf(159286000,plain,(s1(A)|~p0(A,A)),inference(rewrite,[status(thm)],[rule_125]),[]).
% 
% fof(axiom_14,plain,(p0(b,A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN196-1.tptp',unknown),[]).
% 
% cnf(157858752,plain,(p0(b,A)),inference(rewrite,[status(thm)],[axiom_14]),[]).
% 
% cnf(171892944,plain,(s1(b)),inference(resolution,[status(thm)],[159286000,157858752]),[]).
% 
% cnf(172069864,plain,(s1(A)|~q0(A,B)),inference(resolution,[status(thm)],[159298136,171892944]),[]).
% 
% fof(axiom_17,plain,(q0(A,d)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN196-1.tptp',unknown),[]).
% 
% cnf(157874040,plain,(q0(A,d)),inference(rewrite,[status(thm)],[axiom_17]),[]).
% 
% cnf(172255888,plain,(s1(A)),inference(resolution,[status(thm)],[172069864,157874040]),[]).
% 
% fof(prove_this,plain,(~s1(a)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN196-1.tptp',unknown),[]).
% 
% cnf(162155648,plain,(~s1(a)),inference(rewrite,[status(thm)],[prove_this]),[]).
% 
% cnf(contradiction,plain,$false,inference(resolution,[status(thm)],[172255888,162155648]),[]).
% 
% END OF PROOF SEQUENCE
% 
%------------------------------------------------------------------------------