TSTP Solution File: SYN002-1.007.008 by Faust---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Faust---1.0
% Problem  : SYN002-1.007.008 : 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 16:36:53 EDT 2009

% Result   : Unsatisfiable 0.1s
% Output   : Refutation 0.1s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    2
% Syntax   : Number of formulae    :   11 (   3 unt;   0 def)
%            Number of atoms       :   19 (   0 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :   16 (   8   ~;   8   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   2 avg)
%            Maximal term depth    :    9 (   4 avg)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-1 aty)
%            Number of functors    :    1 (   1 usr;   0 con; 1-1 aty)
%            Number of variables   :   10 (   2 sgn   2   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(negative,plain,
    ! [A] :
      ( ~ p(A)
      | ~ p(f(f(f(f(f(f(f(f(A))))))))) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN002-1.007.008.tptp',unknown),
    [] ).

cnf(168381872,plain,
    ( ~ p(A)
    | ~ p(f(f(f(f(f(f(f(f(A))))))))) ),
    inference(rewrite,[status(thm)],[negative]),
    [] ).

fof(positive,plain,
    ! [A] :
      ( p(A)
      | p(f(f(f(f(f(f(f(A)))))))) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN002-1.007.008.tptp',unknown),
    [] ).

cnf(168375208,plain,
    ( p(A)
    | p(f(f(f(f(f(f(f(A)))))))) ),
    inference(rewrite,[status(thm)],[positive]),
    [] ).

cnf(178742584,plain,
    ( ~ p(f(f(f(f(f(f(f(f(A)))))))))
    | p(f(f(f(f(f(f(f(A)))))))) ),
    inference(resolution,[status(thm)],[168381872,168375208]),
    [] ).

cnf(178797384,plain,
    ( p(f(f(f(f(f(f(f(A))))))))
    | p(f(A)) ),
    inference(resolution,[status(thm)],[178742584,168375208]),
    [] ).

cnf(178835352,plain,
    ( p(f(f(A)))
    | ~ p(A) ),
    inference(resolution,[status(thm)],[178797384,168381872]),
    [] ).

cnf(178865920,plain,
    ( ~ p(A)
    | p(f(f(f(f(A))))) ),
    inference(resolution,[status(thm)],[178835352,178835352]),
    [] ).

cnf(178966000,plain,
    ~ p(A),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[178865920,178865920,168381872]),
    [] ).

cnf(178992112,plain,
    p(A),
    inference(resolution,[status(thm)],[178966000,168375208]),
    [] ).

cnf(contradiction,plain,
    $false,
    inference(resolution,[status(thm)],[178992112,178966000]),
    [] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 0 seconds
% START OF PROOF SEQUENCE
% fof(negative,plain,(~p(A)|~p(f(f(f(f(f(f(f(f(A)))))))))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN002-1.007.008.tptp',unknown),[]).
% 
% cnf(168381872,plain,(~p(A)|~p(f(f(f(f(f(f(f(f(A)))))))))),inference(rewrite,[status(thm)],[negative]),[]).
% 
% fof(positive,plain,(p(A)|p(f(f(f(f(f(f(f(A))))))))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN002-1.007.008.tptp',unknown),[]).
% 
% cnf(168375208,plain,(p(A)|p(f(f(f(f(f(f(f(A))))))))),inference(rewrite,[status(thm)],[positive]),[]).
% 
% cnf(178742584,plain,(~p(f(f(f(f(f(f(f(f(A)))))))))|p(f(f(f(f(f(f(f(A))))))))),inference(resolution,[status(thm)],[168381872,168375208]),[]).
% 
% cnf(178797384,plain,(p(f(f(f(f(f(f(f(A))))))))|p(f(A))),inference(resolution,[status(thm)],[178742584,168375208]),[]).
% 
% cnf(178835352,plain,(p(f(f(A)))|~p(A)),inference(resolution,[status(thm)],[178797384,168381872]),[]).
% 
% cnf(178865920,plain,(~p(A)|p(f(f(f(f(A)))))),inference(resolution,[status(thm)],[178835352,178835352]),[]).
% 
% cnf(178966000,plain,(~p(A)),inference(forward_subsumption_resolution__resolution,[status(thm)],[178865920,178865920,168381872]),[]).
% 
% cnf(178992112,plain,(p(A)),inference(resolution,[status(thm)],[178966000,168375208]),[]).
% 
% cnf(contradiction,plain,$false,inference(resolution,[status(thm)],[178992112,178966000]),[]).
% 
% END OF PROOF SEQUENCE
% 
%------------------------------------------------------------------------------