%------------------------------------------------------------------------------
% File     : Faust---1.0
% Problem  : SYN221-1 : TPTP v3.4.2. Released v1.1.0.
% Transfm  : none
% Format   : tptp
% Command  : faust %s

% Computer : art10.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 17:17:59 EDT 2009

% Result   : Unsatisfiable 0.4s
% Output   : Refutation 0.4s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    9
% Syntax   : Number of formulae    :   25 (  14 unt;   0 def)
%            Number of atoms       :   40 (   0 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   32 (  17   ~;  15   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   3 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    9 (   8 usr;   1 prp; 0-3 aty)
%            Number of functors    :    4 (   4 usr;   4 con; 0-0 aty)
%            Number of variables   :   30 (   9 sgn  13   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(prove_this,plain,
    ! [A] : ~ l3(A,c),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN221-1.tptp',unknown),
    [] ).

cnf(157513576,plain,
    ~ l3(A,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/SYN221-1.tptp',unknown),
    [] ).

cnf(154820176,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/SYN221-1.tptp',unknown),
    [] ).

cnf(154278872,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/SYN221-1.tptp',unknown),
    [] ).

cnf(153217224,plain,
    p0(b,A),
    inference(rewrite,[status(thm)],[axiom_14]),
    [] ).

cnf(167175480,plain,
    p1(A,A,A),
    inference(resolution,[status(thm)],[154278872,153217224]),
    [] ).

cnf(170437904,plain,
    n2(A),
    inference(resolution,[status(thm)],[154820176,167175480]),
    [] ).

fof(axiom_5,plain,
    s0(b),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN221-1.tptp',unknown),
    [] ).

cnf(153169424,plain,
    s0(b),
    inference(rewrite,[status(thm)],[axiom_5]),
    [] ).

fof(rule_135,plain,
    ! [A,B,C] :
      ( m2(A)
      | ~ s0(A)
      | ~ l1(B,C) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN221-1.tptp',unknown),
    [] ).

cnf(154795032,plain,
    ( m2(A)
    | ~ s0(A)
    | ~ l1(B,C) ),
    inference(rewrite,[status(thm)],[rule_135]),
    [] ).

fof(rule_002,plain,
    ! [A,B] :
      ( l1(A,A)
      | ~ n0(B,A) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN221-1.tptp',unknown),
    [] ).

cnf(153350944,plain,
    ( l1(A,A)
    | ~ n0(B,A) ),
    inference(rewrite,[status(thm)],[rule_002]),
    [] ).

fof(axiom_3,plain,
    n0(d,e),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN221-1.tptp',unknown),
    [] ).

cnf(153147648,plain,
    n0(d,e),
    inference(rewrite,[status(thm)],[axiom_3]),
    [] ).

cnf(166583528,plain,
    l1(e,e),
    inference(resolution,[status(thm)],[153350944,153147648]),
    [] ).

cnf(167961456,plain,
    ( m2(A)
    | ~ s0(A) ),
    inference(resolution,[status(thm)],[154795032,166583528]),
    [] ).

cnf(170165912,plain,
    m2(b),
    inference(resolution,[status(thm)],[153169424,167961456]),
    [] ).

fof(rule_217,plain,
    ! [A] :
      ( l3(A,A)
      | ~ n2(A)
      | ~ m2(b) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN221-1.tptp',unknown),
    [] ).

cnf(155907184,plain,
    ( l3(A,A)
    | ~ n2(A)
    | ~ m2(b) ),
    inference(rewrite,[status(thm)],[rule_217]),
    [] ).

cnf(171963008,plain,
    l3(A,A),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[170437904,170165912,155907184]),
    [] ).

cnf(contradiction,plain,
    $false,
    inference(resolution,[status(thm)],[157513576,171963008]),
    [] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 0 seconds
% START OF PROOF SEQUENCE
% fof(prove_this,plain,(~l3(A,c)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN221-1.tptp',unknown),[]).
% 
% cnf(157513576,plain,(~l3(A,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/SYN221-1.tptp',unknown),[]).
% 
% cnf(154820176,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/SYN221-1.tptp',unknown),[]).
% 
% cnf(154278872,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/SYN221-1.tptp',unknown),[]).
% 
% cnf(153217224,plain,(p0(b,A)),inference(rewrite,[status(thm)],[axiom_14]),[]).
% 
% cnf(167175480,plain,(p1(A,A,A)),inference(resolution,[status(thm)],[154278872,153217224]),[]).
% 
% cnf(170437904,plain,(n2(A)),inference(resolution,[status(thm)],[154820176,167175480]),[]).
% 
% fof(axiom_5,plain,(s0(b)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN221-1.tptp',unknown),[]).
% 
% cnf(153169424,plain,(s0(b)),inference(rewrite,[status(thm)],[axiom_5]),[]).
% 
% fof(rule_135,plain,(m2(A)|~s0(A)|~l1(B,C)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN221-1.tptp',unknown),[]).
% 
% cnf(154795032,plain,(m2(A)|~s0(A)|~l1(B,C)),inference(rewrite,[status(thm)],[rule_135]),[]).
% 
% fof(rule_002,plain,(l1(A,A)|~n0(B,A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN221-1.tptp',unknown),[]).
% 
% cnf(153350944,plain,(l1(A,A)|~n0(B,A)),inference(rewrite,[status(thm)],[rule_002]),[]).
% 
% fof(axiom_3,plain,(n0(d,e)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN221-1.tptp',unknown),[]).
% 
% cnf(153147648,plain,(n0(d,e)),inference(rewrite,[status(thm)],[axiom_3]),[]).
% 
% cnf(166583528,plain,(l1(e,e)),inference(resolution,[status(thm)],[153350944,153147648]),[]).
% 
% cnf(167961456,plain,(m2(A)|~s0(A)),inference(resolution,[status(thm)],[154795032,166583528]),[]).
% 
% cnf(170165912,plain,(m2(b)),inference(resolution,[status(thm)],[153169424,167961456]),[]).
% 
% fof(rule_217,plain,(l3(A,A)|~n2(A)|~m2(b)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN221-1.tptp',unknown),[]).
% 
% cnf(155907184,plain,(l3(A,A)|~n2(A)|~m2(b)),inference(rewrite,[status(thm)],[rule_217]),[]).
% 
% cnf(171963008,plain,(l3(A,A)),inference(forward_subsumption_resolution__resolution,[status(thm)],[170437904,170165912,155907184]),[]).
% 
% cnf(contradiction,plain,$false,inference(resolution,[status(thm)],[157513576,171963008]),[]).
% 
% END OF PROOF SEQUENCE
% 
%------------------------------------------------------------------------------