%------------------------------------------------------------------------------
% File     : Faust---1.0
% Problem  : SYN290-1 : 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 17:44:10 EDT 2009

% Result   : Unsatisfiable 0.3s
% Output   : Refutation 0.3s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   15 (  10 unt;   0 def)
%            Number of atoms       :   24 (   0 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   22 (  13   ~;   9   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   3 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    5 (   4 usr;   1 prp; 0-3 aty)
%            Number of functors    :    2 (   2 usr;   2 con; 0-0 aty)
%            Number of variables   :   15 (   2 sgn   6   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(axiom_5,plain,
    s0(b),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN290-1.tptp',unknown),
    [] ).

cnf(162692672,plain,
    s0(b),
    inference(rewrite,[status(thm)],[axiom_5]),
    [] ).

fof(prove_this,plain,
    ! [A,B] : ~ q1(c,A,B),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN290-1.tptp',unknown),
    [] ).

cnf(167030040,plain,
    ~ q1(c,A,B),
    inference(rewrite,[status(thm)],[prove_this]),
    [] ).

fof(rule_099,plain,
    ! [A,B,C] :
      ( q1(A,B,B)
      | ~ k0(C)
      | ~ l0(A)
      | ~ q1(B,B,C) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN290-1.tptp',unknown),
    [] ).

cnf(163936816,plain,
    ( q1(A,B,B)
    | ~ k0(C)
    | ~ l0(A)
    | ~ q1(B,B,C) ),
    inference(rewrite,[status(thm)],[rule_099]),
    [] ).

fof(axiom_24,plain,
    l0(c),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN290-1.tptp',unknown),
    [] ).

cnf(162785824,plain,
    l0(c),
    inference(rewrite,[status(thm)],[axiom_24]),
    [] ).

cnf(179726328,plain,
    ( ~ k0(B)
    | ~ q1(A,A,B) ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[167030040,163936816,162785824]),
    [] ).

fof(axiom_32,plain,
    k0(b),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN290-1.tptp',unknown),
    [] ).

cnf(162828056,plain,
    k0(b),
    inference(rewrite,[status(thm)],[axiom_32]),
    [] ).

cnf(179735928,plain,
    ~ q1(A,A,b),
    inference(resolution,[status(thm)],[179726328,162828056]),
    [] ).

fof(rule_097,plain,
    ! [A] :
      ( q1(A,A,A)
      | ~ s0(A) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN290-1.tptp',unknown),
    [] ).

cnf(163924616,plain,
    ( q1(A,A,A)
    | ~ s0(A) ),
    inference(rewrite,[status(thm)],[rule_097]),
    [] ).

cnf(contradiction,plain,
    $false,
    inference(forward_subsumption_resolution__resolution,[status(thm)],[162692672,179735928,163924616]),
    [] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 1 seconds
% START OF PROOF SEQUENCE
% fof(axiom_5,plain,(s0(b)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN290-1.tptp',unknown),[]).
% 
% cnf(162692672,plain,(s0(b)),inference(rewrite,[status(thm)],[axiom_5]),[]).
% 
% fof(prove_this,plain,(~q1(c,A,B)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN290-1.tptp',unknown),[]).
% 
% cnf(167030040,plain,(~q1(c,A,B)),inference(rewrite,[status(thm)],[prove_this]),[]).
% 
% fof(rule_099,plain,(q1(A,B,B)|~k0(C)|~l0(A)|~q1(B,B,C)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN290-1.tptp',unknown),[]).
% 
% cnf(163936816,plain,(q1(A,B,B)|~k0(C)|~l0(A)|~q1(B,B,C)),inference(rewrite,[status(thm)],[rule_099]),[]).
% 
% fof(axiom_24,plain,(l0(c)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN290-1.tptp',unknown),[]).
% 
% cnf(162785824,plain,(l0(c)),inference(rewrite,[status(thm)],[axiom_24]),[]).
% 
% cnf(179726328,plain,(~k0(B)|~q1(A,A,B)),inference(forward_subsumption_resolution__resolution,[status(thm)],[167030040,163936816,162785824]),[]).
% 
% fof(axiom_32,plain,(k0(b)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN290-1.tptp',unknown),[]).
% 
% cnf(162828056,plain,(k0(b)),inference(rewrite,[status(thm)],[axiom_32]),[]).
% 
% cnf(179735928,plain,(~q1(A,A,b)),inference(resolution,[status(thm)],[179726328,162828056]),[]).
% 
% fof(rule_097,plain,(q1(A,A,A)|~s0(A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN290-1.tptp',unknown),[]).
% 
% cnf(163924616,plain,(q1(A,A,A)|~s0(A)),inference(rewrite,[status(thm)],[rule_097]),[]).
% 
% cnf(contradiction,plain,$false,inference(forward_subsumption_resolution__resolution,[status(thm)],[162692672,179735928,163924616]),[]).
% 
% END OF PROOF SEQUENCE
% 
%------------------------------------------------------------------------------