%------------------------------------------------------------------------------
% File     : Faust---1.0
% Problem  : SYN197-1 : 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 17:12:33 EDT 2009

% Result   : Unsatisfiable 0.2s
% Output   : Refutation 0.2s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   13 (   9 unt;   0 def)
%            Number of atoms       :   19 (   0 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   15 (   9   ~;   6   |;   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    :    1 (   1 usr;   1 con; 0-0 aty)
%            Number of variables   :   11 (   4 sgn   5   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(prove_this,plain,
    ~ s1(b),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN197-1.tptp',unknown),
    [] ).

cnf(155102336,plain,
    ~ s1(b),
    inference(rewrite,[status(thm)],[prove_this]),
    [] ).

fof(rule_126,plain,
    ! [A,B,C] :
      ( s1(A)
      | ~ q0(A,B)
      | ~ s1(C) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN197-1.tptp',unknown),
    [] ).

cnf(152244824,plain,
    ( s1(A)
    | ~ q0(A,B)
    | ~ s1(C) ),
    inference(rewrite,[status(thm)],[rule_126]),
    [] ).

fof(axiom_6,plain,
    q0(b,b),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN197-1.tptp',unknown),
    [] ).

cnf(150714880,plain,
    q0(b,b),
    inference(rewrite,[status(thm)],[axiom_6]),
    [] ).

cnf(164805344,plain,
    ~ s1(A),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[155102336,152244824,150714880]),
    [] ).

fof(rule_125,plain,
    ! [A] :
      ( s1(A)
      | ~ p0(A,A) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN197-1.tptp',unknown),
    [] ).

cnf(152232688,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/SYN197-1.tptp',unknown),
    [] ).

cnf(150805440,plain,
    p0(b,A),
    inference(rewrite,[status(thm)],[axiom_14]),
    [] ).

cnf(165320392,plain,
    s1(b),
    inference(resolution,[status(thm)],[152232688,150805440]),
    [] ).

cnf(contradiction,plain,
    $false,
    inference(resolution,[status(thm)],[164805344,165320392]),
    [] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 0 seconds
% START OF PROOF SEQUENCE
% fof(prove_this,plain,(~s1(b)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN197-1.tptp',unknown),[]).
% 
% cnf(155102336,plain,(~s1(b)),inference(rewrite,[status(thm)],[prove_this]),[]).
% 
% fof(rule_126,plain,(s1(A)|~q0(A,B)|~s1(C)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN197-1.tptp',unknown),[]).
% 
% cnf(152244824,plain,(s1(A)|~q0(A,B)|~s1(C)),inference(rewrite,[status(thm)],[rule_126]),[]).
% 
% fof(axiom_6,plain,(q0(b,b)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN197-1.tptp',unknown),[]).
% 
% cnf(150714880,plain,(q0(b,b)),inference(rewrite,[status(thm)],[axiom_6]),[]).
% 
% cnf(164805344,plain,(~s1(A)),inference(forward_subsumption_resolution__resolution,[status(thm)],[155102336,152244824,150714880]),[]).
% 
% fof(rule_125,plain,(s1(A)|~p0(A,A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN197-1.tptp',unknown),[]).
% 
% cnf(152232688,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/SYN197-1.tptp',unknown),[]).
% 
% cnf(150805440,plain,(p0(b,A)),inference(rewrite,[status(thm)],[axiom_14]),[]).
% 
% cnf(165320392,plain,(s1(b)),inference(resolution,[status(thm)],[152232688,150805440]),[]).
% 
% cnf(contradiction,plain,$false,inference(resolution,[status(thm)],[164805344,165320392]),[]).
% 
% END OF PROOF SEQUENCE
% 
%------------------------------------------------------------------------------