TSTP Solution File: SYN149-1 by Faust---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Faust---1.0
% Problem  : SYN149-1 : TPTP v3.4.2. Released v1.1.0.
% 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 16:56:01 EDT 2009

% Result   : Unsatisfiable 0.4s
% Output   : Refutation 0.4s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    2
%            Number of leaves      :    3
% Syntax   : Number of formulae    :    7 (   5 unt;   0 def)
%            Number of atoms       :    9 (   0 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :    6 (   4   ~;   2   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   2 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-3 aty)
%            Number of functors    :    1 (   1 usr;   1 con; 0-0 aty)
%            Number of variables   :    4 (   1 sgn   2   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(axiom_13,plain,
    r0(e),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN149-1.tptp',unknown),
    [] ).

cnf(151448904,plain,
    r0(e),
    inference(rewrite,[status(thm)],[axiom_13]),
    [] ).

fof(prove_this,plain,
    ! [A] : ~ n1(e,e,A),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN149-1.tptp',unknown),
    [] ).

cnf(155749224,plain,
    ~ n1(e,e,A),
    inference(rewrite,[status(thm)],[prove_this]),
    [] ).

fof(rule_057,plain,
    ! [A] :
      ( n1(A,A,A)
      | ~ r0(A) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN149-1.tptp',unknown),
    [] ).

cnf(152192040,plain,
    ( n1(A,A,A)
    | ~ r0(A) ),
    inference(rewrite,[status(thm)],[rule_057]),
    [] ).

cnf(contradiction,plain,
    $false,
    inference(forward_subsumption_resolution__resolution,[status(thm)],[151448904,155749224,152192040]),
    [] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 0 seconds
% START OF PROOF SEQUENCE
% fof(axiom_13,plain,(r0(e)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN149-1.tptp',unknown),[]).
% 
% cnf(151448904,plain,(r0(e)),inference(rewrite,[status(thm)],[axiom_13]),[]).
% 
% fof(prove_this,plain,(~n1(e,e,A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN149-1.tptp',unknown),[]).
% 
% cnf(155749224,plain,(~n1(e,e,A)),inference(rewrite,[status(thm)],[prove_this]),[]).
% 
% fof(rule_057,plain,(n1(A,A,A)|~r0(A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN149-1.tptp',unknown),[]).
% 
% cnf(152192040,plain,(n1(A,A,A)|~r0(A)),inference(rewrite,[status(thm)],[rule_057]),[]).
% 
% cnf(contradiction,plain,$false,inference(forward_subsumption_resolution__resolution,[status(thm)],[151448904,155749224,152192040]),[]).
% 
% END OF PROOF SEQUENCE
% 
%------------------------------------------------------------------------------