TSTP Solution File: SYN398+1 by Faust---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Faust---1.0
% Problem  : SYN398+1 : TPTP v3.4.2. Released v2.0.0.
% Transfm  : none
% Format   : tptp
% Command  : faust %s

% Computer : art01.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 17:53:03 EDT 2009

% Result   : Theorem 0.1s
% Output   : Refutation 0.1s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    1
% Syntax   : Number of formulae    :    6 (   3 unt;   0 def)
%            Number of atoms       :  331 (   0 equ)
%            Maximal formula atoms :  324 (  55 avg)
%            Number of connectives :  434 ( 109   ~; 245   |;  80   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   87 (  16 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   2 prp; 0-1 aty)
%            Number of functors    :    2 (   2 usr;   0 con; 1-1 aty)
%            Number of variables   :    5 (   3 sgn   2   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(kalish215,plain,
    ! [A,D] :
      ( ( p
        | p
        | p
        | ~ f(y_nn_1(A)) )
      & ( f(D)
        | p
        | p
        | ~ f(y_nn_1(A)) )
      & ( ~ f(x(A))
        | p
        | p
        | ~ f(y_nn_1(A)) )
      & ( p
        | f(D)
        | p
        | ~ f(y_nn_1(A)) )
      & ( f(D)
        | f(D)
        | p
        | ~ f(y_nn_1(A)) )
      & ( ~ f(x(A))
        | f(D)
        | p
        | ~ f(y_nn_1(A)) )
      & ( p
        | ~ p
        | p
        | ~ f(y_nn_1(A)) )
      & ( f(D)
        | ~ p
        | p
        | ~ f(y_nn_1(A)) )
      & ( ~ f(x(A))
        | ~ p
        | p
        | ~ f(y_nn_1(A)) )
      & ( p
        | p
        | f(A)
        | ~ f(y_nn_1(A)) )
      & ( f(D)
        | p
        | f(A)
        | ~ f(y_nn_1(A)) )
      & ( ~ f(x(A))
        | p
        | f(A)
        | ~ f(y_nn_1(A)) )
      & ( p
        | f(D)
        | f(A)
        | ~ f(y_nn_1(A)) )
      & ( f(D)
        | f(D)
        | f(A)
        | ~ f(y_nn_1(A)) )
      & ( ~ f(x(A))
        | f(D)
        | f(A)
        | ~ f(y_nn_1(A)) )
      & ( p
        | ~ p
        | f(A)
        | ~ f(y_nn_1(A)) )
      & ( f(D)
        | ~ p
        | f(A)
        | ~ f(y_nn_1(A)) )
      & ( ~ f(x(A))
        | ~ p
        | f(A)
        | ~ f(y_nn_1(A)) )
      & ( p
        | p
        | ~ p
        | ~ f(y_nn_1(A)) )
      & ( f(D)
        | p
        | ~ p
        | ~ f(y_nn_1(A)) )
      & ( ~ f(x(A))
        | p
        | ~ p
        | ~ f(y_nn_1(A)) )
      & ( p
        | f(D)
        | ~ p
        | ~ f(y_nn_1(A)) )
      & ( f(D)
        | f(D)
        | ~ p
        | ~ f(y_nn_1(A)) )
      & ( ~ f(x(A))
        | f(D)
        | ~ p
        | ~ f(y_nn_1(A)) )
      & ( p
        | ~ p
        | ~ p
        | ~ f(y_nn_1(A)) )
      & ( f(D)
        | ~ p
        | ~ p
        | ~ f(y_nn_1(A)) )
      & ( ~ f(x(A))
        | ~ p
        | ~ p
        | ~ f(y_nn_1(A)) )
      & ( p
        | p
        | p
        | p )
      & ( f(D)
        | p
        | p
        | p )
      & ( ~ f(x(A))
        | p
        | p
        | p )
      & ( p
        | f(D)
        | p
        | p )
      & ( f(D)
        | f(D)
        | p
        | p )
      & ( ~ f(x(A))
        | f(D)
        | p
        | p )
      & ( p
        | ~ p
        | p
        | p )
      & ( f(D)
        | ~ p
        | p
        | p )
      & ( ~ f(x(A))
        | ~ p
        | p
        | p )
      & ( p
        | p
        | f(A)
        | p )
      & ( f(D)
        | p
        | f(A)
        | p )
      & ( ~ f(x(A))
        | p
        | f(A)
        | p )
      & ( p
        | f(D)
        | f(A)
        | p )
      & ( f(D)
        | f(D)
        | f(A)
        | p )
      & ( ~ f(x(A))
        | f(D)
        | f(A)
        | p )
      & ( p
        | ~ p
        | f(A)
        | p )
      & ( f(D)
        | ~ p
        | f(A)
        | p )
      & ( ~ f(x(A))
        | ~ p
        | f(A)
        | p )
      & ( p
        | p
        | ~ p
        | p )
      & ( f(D)
        | p
        | ~ p
        | p )
      & ( ~ f(x(A))
        | p
        | ~ p
        | p )
      & ( p
        | f(D)
        | ~ p
        | p )
      & ( f(D)
        | f(D)
        | ~ p
        | p )
      & ( ~ f(x(A))
        | f(D)
        | ~ p
        | p )
      & ( p
        | ~ p
        | ~ p
        | p )
      & ( f(D)
        | ~ p
        | ~ p
        | p )
      & ( ~ f(x(A))
        | ~ p
        | ~ p
        | p )
      & ( p
        | p
        | p
        | f(A) )
      & ( f(D)
        | p
        | p
        | f(A) )
      & ( ~ f(x(A))
        | p
        | p
        | f(A) )
      & ( p
        | f(D)
        | p
        | f(A) )
      & ( f(D)
        | f(D)
        | p
        | f(A) )
      & ( ~ f(x(A))
        | f(D)
        | p
        | f(A) )
      & ( p
        | ~ p
        | p
        | f(A) )
      & ( f(D)
        | ~ p
        | p
        | f(A) )
      & ( ~ f(x(A))
        | ~ p
        | p
        | f(A) )
      & ( p
        | p
        | f(A)
        | f(A) )
      & ( f(D)
        | p
        | f(A)
        | f(A) )
      & ( ~ f(x(A))
        | p
        | f(A)
        | f(A) )
      & ( p
        | f(D)
        | f(A)
        | f(A) )
      & ( f(D)
        | f(D)
        | f(A)
        | f(A) )
      & ( ~ f(x(A))
        | f(D)
        | f(A)
        | f(A) )
      & ( p
        | ~ p
        | f(A)
        | f(A) )
      & ( f(D)
        | ~ p
        | f(A)
        | f(A) )
      & ( ~ f(x(A))
        | ~ p
        | f(A)
        | f(A) )
      & ( p
        | p
        | ~ p
        | f(A) )
      & ( f(D)
        | p
        | ~ p
        | f(A) )
      & ( ~ f(x(A))
        | p
        | ~ p
        | f(A) )
      & ( p
        | f(D)
        | ~ p
        | f(A) )
      & ( f(D)
        | f(D)
        | ~ p
        | f(A) )
      & ( ~ f(x(A))
        | f(D)
        | ~ p
        | f(A) )
      & ( p
        | ~ p
        | ~ p
        | f(A) )
      & ( f(D)
        | ~ p
        | ~ p
        | f(A) )
      & ( ~ f(x(A))
        | ~ p
        | ~ p
        | f(A) ) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN398+1.tptp',unknown),
    [] ).

cnf(172251088,plain,
    ( p
    | f(A) ),
    inference(rewrite,[status(thm)],[kalish215]),
    [] ).

cnf(172256696,plain,
    p,
    inference(rewrite__forward_subsumption_resolution,[status(thm)],[kalish215,172251088]),
    [] ).

cnf(172244792,plain,
    ( f(D)
    | f(A) ),
    inference(rewrite,[status(thm)],[kalish215]),
    [] ).

cnf(172261392,plain,
    ~ p,
    inference(rewrite__forward_subsumption_resolution,[status(thm)],[kalish215,172244792]),
    [] ).

cnf(contradiction,plain,
    $false,
    inference(resolution,[status(thm)],[172256696,172261392]),
    [] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 0 seconds
% START OF PROOF SEQUENCE
% fof(kalish215,plain,(((p|p|p|~f(y_nn_1(A)))&(f(D)|p|p|~f(y_nn_1(A)))&(~f(x(A))|p|p|~f(y_nn_1(A)))&(p|f(D)|p|~f(y_nn_1(A)))&(f(D)|f(D)|p|~f(y_nn_1(A)))&(~f(x(A))|f(D)|p|~f(y_nn_1(A)))&(p|~p|p|~f(y_nn_1(A)))&(f(D)|~p|p|~f(y_nn_1(A)))&(~f(x(A))|~p|p|~f(y_nn_1(A)))&(p|p|f(A)|~f(y_nn_1(A)))&(f(D)|p|f(A)|~f(y_nn_1(A)))&(~f(x(A))|p|f(A)|~f(y_nn_1(A)))&(p|f(D)|f(A)|~f(y_nn_1(A)))&(f(D)|f(D)|f(A)|~f(y_nn_1(A)))&(~f(x(A))|f(D)|f(A)|~f(y_nn_1(A)))&(p|~p|f(A)|~f(y_nn_1(A)))&(f(D)|~p|f(A)|~f(y_nn_1(A)))&(~f(x(A))|~p|f(A)|~f(y_nn_1(A)))&(p|p|~p|~f(y_nn_1(A)))&(f(D)|p|~p|~f(y_nn_1(A)))&(~f(x(A))|p|~p|~f(y_nn_1(A)))&(p|f(D)|~p|~f(y_nn_1(A)))&(f(D)|f(D)|~p|~f(y_nn_1(A)))&(~f(x(A))|f(D)|~p|~f(y_nn_1(A)))&(p|~p|~p|~f(y_nn_1(A)))&(f(D)|~p|~p|~f(y_nn_1(A)))&(~f(x(A))|~p|~p|~f(y_nn_1(A)))&(p|p|p|p)&(f(D)|p|p|p)&(~f(x(A))|p|p|p)&(p|f(D)|p|p)&(f(D)|f(D)|p|p)&(~f(x(A))|f(D)|p|p)&(p|~p|p|p)&(f(D)|~p|p|p)&(~f(x(A))|~p|p|p)&(p|p|f(A)|p)&(f(D)|p|f(A)|p)&(~f(x(A))|p|f(A)|p)&(p|f(D)|f(A)|p)&(f(D)|f(D)|f(A)|p)&(~f(x(A))|f(D)|f(A)|p)&(p|~p|f(A)|p)&(f(D)|~p|f(A)|p)&(~f(x(A))|~p|f(A)|p)&(p|p|~p|p)&(f(D)|p|~p|p)&(~f(x(A))|p|~p|p)&(p|f(D)|~p|p)&(f(D)|f(D)|~p|p)&(~f(x(A))|f(D)|~p|p)&(p|~p|~p|p)&(f(D)|~p|~p|p)&(~f(x(A))|~p|~p|p)&(p|p|p|f(A))&(f(D)|p|p|f(A))&(~f(x(A))|p|p|f(A))&(p|f(D)|p|f(A))&(f(D)|f(D)|p|f(A))&(~f(x(A))|f(D)|p|f(A))&(p|~p|p|f(A))&(f(D)|~p|p|f(A))&(~f(x(A))|~p|p|f(A))&(p|p|f(A)|f(A))&(f(D)|p|f(A)|f(A))&(~f(x(A))|p|f(A)|f(A))&(p|f(D)|f(A)|f(A))&(f(D)|f(D)|f(A)|f(A))&(~f(x(A))|f(D)|f(A)|f(A))&(p|~p|f(A)|f(A))&(f(D)|~p|f(A)|f(A))&(~f(x(A))|~p|f(A)|f(A))&(p|p|~p|f(A))&(f(D)|p|~p|f(A))&(~f(x(A))|p|~p|f(A))&(p|f(D)|~p|f(A))&(f(D)|f(D)|~p|f(A))&(~f(x(A))|f(D)|~p|f(A))&(p|~p|~p|f(A))&(f(D)|~p|~p|f(A))&(~f(x(A))|~p|~p|f(A)))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN398+1.tptp',unknown),[]).
% 
% cnf(172251088,plain,(p|f(A)),inference(rewrite,[status(thm)],[kalish215]),[]).
% 
% cnf(172256696,plain,(p),inference(rewrite__forward_subsumption_resolution,[status(thm)],[kalish215,172251088]),[]).
% 
% cnf(172244792,plain,(f(D)|f(A)),inference(rewrite,[status(thm)],[kalish215]),[]).
% 
% cnf(172261392,plain,(~p),inference(rewrite__forward_subsumption_resolution,[status(thm)],[kalish215,172244792]),[]).
% 
% cnf(contradiction,plain,$false,inference(resolution,[status(thm)],[172256696,172261392]),[]).
% 
% END OF PROOF SEQUENCE
% faust: ../JJParser/Signature.c:39: void FreeSignatureList(SymbolNodeType**): Assertion `(*Symbols)->NumberOfUses == 0' failed.
% 
%------------------------------------------------------------------------------