TSTP Solution File: SYN132-1 by Faust---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Faust---1.0
% Problem  : SYN132-1 : TPTP v3.4.2. Released v1.1.0.
% 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 16:54:10 EDT 2009

% Result   : Unsatisfiable 0.4s
% Output   : Refutation 0.4s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    2
%            Number of leaves      :    2
% Syntax   : Number of formulae    :    5 (   5 unt;   0 def)
%            Number of atoms       :    5 (   0 equ)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :    2 (   2   ~;   0   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    3 (   2 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-3 aty)
%            Number of functors    :    2 (   2 usr;   2 con; 0-0 aty)
%            Number of variables   :    4 (   2 sgn   2   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(prove_this,plain,
    ! [A] : ~ m0(A,e,a),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN132-1.tptp',unknown),
    [] ).

cnf(173887000,plain,
    ~ m0(A,e,a),
    inference(rewrite,[status(thm)],[prove_this]),
    [] ).

fof(axiom_12,plain,
    ! [A] : m0(a,A,a),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN132-1.tptp',unknown),
    [] ).

cnf(169583000,plain,
    m0(a,A,a),
    inference(rewrite,[status(thm)],[axiom_12]),
    [] ).

cnf(contradiction,plain,
    $false,
    inference(resolution,[status(thm)],[173887000,169583000]),
    [] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 1 seconds
% START OF PROOF SEQUENCE
% fof(prove_this,plain,(~m0(A,e,a)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN132-1.tptp',unknown),[]).
% 
% cnf(173887000,plain,(~m0(A,e,a)),inference(rewrite,[status(thm)],[prove_this]),[]).
% 
% fof(axiom_12,plain,(m0(a,A,a)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN132-1.tptp',unknown),[]).
% 
% cnf(169583000,plain,(m0(a,A,a)),inference(rewrite,[status(thm)],[axiom_12]),[]).
% 
% cnf(contradiction,plain,$false,inference(resolution,[status(thm)],[173887000,169583000]),[]).
% 
% END OF PROOF SEQUENCE
% 
%------------------------------------------------------------------------------