TSTP Solution File: SYN346-1 by Faust---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Faust---1.0
% Problem  : SYN346-1 : TPTP v3.4.2. Released v1.2.0.
% Transfm  : none
% Format   : tptp
% Command  : faust %s

% Computer : art08.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 17:50:38 EDT 2009

% Result   : Unsatisfiable 0.1s
% Output   : Refutation 0.1s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    2
%            Number of leaves      :    2
% Syntax   : Number of formulae    :    5 (   3 unt;   0 def)
%            Number of atoms       :    7 (   0 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :    6 (   4   ~;   2   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   3 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    2 (   2 usr;   1 con; 0-2 aty)
%            Number of variables   :    8 (   2 sgn   4   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(clause3,plain,
    ! [A,B] :
      ( ~ f(A,z1(A,B))
      | ~ f(B,z1(A,B)) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN346-1.tptp',unknown),
    [] ).

cnf(162204400,plain,
    ( ~ f(A,z1(A,B))
    | ~ f(B,z1(A,B)) ),
    inference(rewrite,[status(thm)],[clause3]),
    [] ).

fof(clause1,plain,
    ! [A,B] : f(b,z1(A,B)),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN346-1.tptp',unknown),
    [] ).

cnf(162181040,plain,
    f(b,z1(A,B)),
    inference(rewrite,[status(thm)],[clause1]),
    [] ).

cnf(contradiction,plain,
    $false,
    inference(resolution,[status(thm)],[162204400,162181040]),
    [] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 0 seconds
% START OF PROOF SEQUENCE
% fof(clause3,plain,(~f(A,z1(A,B))|~f(B,z1(A,B))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN346-1.tptp',unknown),[]).
% 
% cnf(162204400,plain,(~f(A,z1(A,B))|~f(B,z1(A,B))),inference(rewrite,[status(thm)],[clause3]),[]).
% 
% fof(clause1,plain,(f(b,z1(A,B))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN346-1.tptp',unknown),[]).
% 
% cnf(162181040,plain,(f(b,z1(A,B))),inference(rewrite,[status(thm)],[clause1]),[]).
% 
% cnf(contradiction,plain,$false,inference(resolution,[status(thm)],[162204400,162181040]),[]).
% 
% END OF PROOF SEQUENCE
% 
%------------------------------------------------------------------------------