TSTP Solution File: SYN326-1 by Faust---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Faust---1.0
% Problem  : SYN326-1 : TPTP v3.4.2. Released v1.2.0.
% 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 17:49:26 EDT 2009

% Result   : Unsatisfiable 0.1s
% Output   : Refutation 0.1s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   12 (   6 unt;   0 def)
%            Number of atoms       :   18 (   0 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :   13 (   7   ~;   6   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   2 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    4 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :    2 (   2 usr;   0 con; 1-1 aty)
%            Number of variables   :   11 (   3 sgn   4   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(clause5,plain,
    ! [A] :
      ( ~ g(A)
      | h(z(A)) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN326-1.tptp',unknown),
    [] ).

cnf(146171904,plain,
    ( ~ g(A)
    | h(z(A)) ),
    inference(rewrite,[status(thm)],[clause5]),
    [] ).

fof(clause2,plain,
    ! [A] :
      ( g(y(A))
      | f(A,A) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN326-1.tptp',unknown),
    [] ).

cnf(146153720,plain,
    ( g(y(A))
    | f(A,A) ),
    inference(rewrite,[status(thm)],[clause2]),
    [] ).

fof(clause7,plain,
    ! [A] : ~ f(z(A),z(A)),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN326-1.tptp',unknown),
    [] ).

cnf(146184608,plain,
    ~ f(z(A),z(A)),
    inference(rewrite,[status(thm)],[clause7]),
    [] ).

cnf(169684256,plain,
    g(y(z(A))),
    inference(resolution,[status(thm)],[146153720,146184608]),
    [] ).

cnf(169719832,plain,
    h(z(y(z(A)))),
    inference(resolution,[status(thm)],[146171904,169684256]),
    [] ).

fof(clause3,plain,
    ! [A] :
      ( ~ h(A)
      | f(A,A) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN326-1.tptp',unknown),
    [] ).

cnf(146160112,plain,
    ( ~ h(A)
    | f(A,A) ),
    inference(rewrite,[status(thm)],[clause3]),
    [] ).

cnf(169692816,plain,
    ~ h(z(A)),
    inference(resolution,[status(thm)],[146160112,146184608]),
    [] ).

cnf(contradiction,plain,
    $false,
    inference(resolution,[status(thm)],[169719832,169692816]),
    [] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 0 seconds
% START OF PROOF SEQUENCE
% fof(clause5,plain,(~g(A)|h(z(A))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN326-1.tptp',unknown),[]).
% 
% cnf(146171904,plain,(~g(A)|h(z(A))),inference(rewrite,[status(thm)],[clause5]),[]).
% 
% fof(clause2,plain,(g(y(A))|f(A,A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN326-1.tptp',unknown),[]).
% 
% cnf(146153720,plain,(g(y(A))|f(A,A)),inference(rewrite,[status(thm)],[clause2]),[]).
% 
% fof(clause7,plain,(~f(z(A),z(A))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN326-1.tptp',unknown),[]).
% 
% cnf(146184608,plain,(~f(z(A),z(A))),inference(rewrite,[status(thm)],[clause7]),[]).
% 
% cnf(169684256,plain,(g(y(z(A)))),inference(resolution,[status(thm)],[146153720,146184608]),[]).
% 
% cnf(169719832,plain,(h(z(y(z(A))))),inference(resolution,[status(thm)],[146171904,169684256]),[]).
% 
% fof(clause3,plain,(~h(A)|f(A,A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN326-1.tptp',unknown),[]).
% 
% cnf(146160112,plain,(~h(A)|f(A,A)),inference(rewrite,[status(thm)],[clause3]),[]).
% 
% cnf(169692816,plain,(~h(z(A))),inference(resolution,[status(thm)],[146160112,146184608]),[]).
% 
% cnf(contradiction,plain,$false,inference(resolution,[status(thm)],[169719832,169692816]),[]).
% 
% END OF PROOF SEQUENCE
% 
%------------------------------------------------------------------------------