%------------------------------------------------------------------------------
% File     : Faust---1.0
% Problem  : SYN009-1 : TPTP v3.4.2. Released v1.0.0.
% Transfm  : none
% Format   : tptp
% Command  : faust %s

% Computer : art03.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 16:37:27 EDT 2009

% Result   : Unsatisfiable 0.1s
% Output   : Refutation 0.1s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   14 (  10 unt;   0 def)
%            Number of atoms       :   27 (   0 equ)
%            Maximal formula atoms :    6 (   1 avg)
%            Number of connectives :   25 (  12   ~;  13   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   3 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    5 (   4 usr;   1 prp; 0-3 aty)
%            Number of functors    :    1 (   1 usr;   1 con; 0-0 aty)
%            Number of variables   :   18 (   6 sgn   9   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(clause_7,plain,
    ! [A,B,C] :
      ( ~ s(A)
      | ~ s(B)
      | ~ s(C)
      | p(A,B,C)
      | q(A,B,C)
      | r(A,B,C) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN009-1.tptp',unknown),
    [] ).

cnf(172339528,plain,
    ( ~ s(A)
    | ~ s(B)
    | ~ s(C)
    | p(A,B,C)
    | q(A,B,C)
    | r(A,B,C) ),
    inference(rewrite,[status(thm)],[clause_7]),
    [] ).

fof(clause_6,plain,
    s(c),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN009-1.tptp',unknown),
    [] ).

cnf(172326352,plain,
    s(c),
    inference(rewrite,[status(thm)],[clause_6]),
    [] ).

cnf(196686416,plain,
    ( p(c,c,c)
    | q(c,c,c)
    | r(c,c,c) ),
    inference(resolution,[status(thm)],[172339528,172326352]),
    [] ).

fof(clause_1,plain,
    ! [A,B] : ~ p(c,A,B),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN009-1.tptp',unknown),
    [] ).

cnf(172300096,plain,
    ~ p(c,A,B),
    inference(rewrite,[status(thm)],[clause_1]),
    [] ).

cnf(196814824,plain,
    ( q(c,c,c)
    | r(c,c,c) ),
    inference(resolution,[status(thm)],[196686416,172300096]),
    [] ).

fof(clause_2,plain,
    ! [A,B] : ~ q(A,c,B),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN009-1.tptp',unknown),
    [] ).

cnf(172305024,plain,
    ~ q(A,c,B),
    inference(rewrite,[status(thm)],[clause_2]),
    [] ).

cnf(196833736,plain,
    r(c,c,c),
    inference(resolution,[status(thm)],[196814824,172305024]),
    [] ).

fof(clause_3,plain,
    ! [A,B] : ~ r(A,B,c),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN009-1.tptp',unknown),
    [] ).

cnf(172309840,plain,
    ~ r(A,B,c),
    inference(rewrite,[status(thm)],[clause_3]),
    [] ).

cnf(contradiction,plain,
    $false,
    inference(resolution,[status(thm)],[196833736,172309840]),
    [] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 0 seconds
% START OF PROOF SEQUENCE
% fof(clause_7,plain,(~s(A)|~s(B)|~s(C)|p(A,B,C)|q(A,B,C)|r(A,B,C)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN009-1.tptp',unknown),[]).
% 
% cnf(172339528,plain,(~s(A)|~s(B)|~s(C)|p(A,B,C)|q(A,B,C)|r(A,B,C)),inference(rewrite,[status(thm)],[clause_7]),[]).
% 
% fof(clause_6,plain,(s(c)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN009-1.tptp',unknown),[]).
% 
% cnf(172326352,plain,(s(c)),inference(rewrite,[status(thm)],[clause_6]),[]).
% 
% cnf(196686416,plain,(p(c,c,c)|q(c,c,c)|r(c,c,c)),inference(resolution,[status(thm)],[172339528,172326352]),[]).
% 
% fof(clause_1,plain,(~p(c,A,B)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN009-1.tptp',unknown),[]).
% 
% cnf(172300096,plain,(~p(c,A,B)),inference(rewrite,[status(thm)],[clause_1]),[]).
% 
% cnf(196814824,plain,(q(c,c,c)|r(c,c,c)),inference(resolution,[status(thm)],[196686416,172300096]),[]).
% 
% fof(clause_2,plain,(~q(A,c,B)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN009-1.tptp',unknown),[]).
% 
% cnf(172305024,plain,(~q(A,c,B)),inference(rewrite,[status(thm)],[clause_2]),[]).
% 
% cnf(196833736,plain,(r(c,c,c)),inference(resolution,[status(thm)],[196814824,172305024]),[]).
% 
% fof(clause_3,plain,(~r(A,B,c)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN009-1.tptp',unknown),[]).
% 
% cnf(172309840,plain,(~r(A,B,c)),inference(rewrite,[status(thm)],[clause_3]),[]).
% 
% cnf(contradiction,plain,$false,inference(resolution,[status(thm)],[196833736,172309840]),[]).
% 
% END OF PROOF SEQUENCE
% 
%------------------------------------------------------------------------------