TSTP Solution File: SYN061-1 by Faust---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Faust---1.0
% Problem  : SYN061-1 : TPTP v3.4.2. Released v1.0.0.
% Transfm  : none
% Format   : tptp
% Command  : faust %s

% Computer : art09.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 16:40:03 EDT 2009

% Result   : Unsatisfiable 0.0s
% Output   : Refutation 0.0s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   14 (   8 unt;   0 def)
%            Number of atoms       :   20 (   0 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :   16 (  10   ~;   6   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   2 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    5 (   4 usr;   1 prp; 0-1 aty)
%            Number of functors    :    1 (   1 usr;   1 con; 0-0 aty)
%            Number of variables   :    6 (   0 sgn   3   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(clause_2,plain,
    ! [A] :
      ( ~ big_f(A)
      | ~ big_h(A) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN061-1.tptp',unknown),
    [] ).

cnf(169862136,plain,
    ( ~ big_f(A)
    | ~ big_h(A) ),
    inference(rewrite,[status(thm)],[clause_2]),
    [] ).

fof(clause_4,plain,
    big_f(a),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN061-1.tptp',unknown),
    [] ).

cnf(169871656,plain,
    big_f(a),
    inference(rewrite,[status(thm)],[clause_4]),
    [] ).

cnf(177707576,plain,
    ~ big_h(a),
    inference(resolution,[status(thm)],[169862136,169871656]),
    [] ).

fof(clause_5,plain,
    ! [A] :
      ( big_h(A)
      | big_j(A) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN061-1.tptp',unknown),
    [] ).

cnf(169878056,plain,
    ( big_h(A)
    | big_j(A) ),
    inference(rewrite,[status(thm)],[clause_5]),
    [] ).

fof(clause_6,plain,
    ! [A] :
      ( ~ big_i(A)
      | ~ big_j(A) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN061-1.tptp',unknown),
    [] ).

cnf(169884480,plain,
    ( ~ big_i(A)
    | ~ big_j(A) ),
    inference(rewrite,[status(thm)],[clause_6]),
    [] ).

fof(clause_3,plain,
    big_i(a),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN061-1.tptp',unknown),
    [] ).

cnf(169866864,plain,
    big_i(a),
    inference(rewrite,[status(thm)],[clause_3]),
    [] ).

cnf(177681880,plain,
    ~ big_j(a),
    inference(resolution,[status(thm)],[169884480,169866864]),
    [] ).

cnf(177712296,plain,
    big_h(a),
    inference(resolution,[status(thm)],[169878056,177681880]),
    [] ).

cnf(contradiction,plain,
    $false,
    inference(resolution,[status(thm)],[177707576,177712296]),
    [] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 0 seconds
% START OF PROOF SEQUENCE
% fof(clause_2,plain,(~big_f(A)|~big_h(A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN061-1.tptp',unknown),[]).
% 
% cnf(169862136,plain,(~big_f(A)|~big_h(A)),inference(rewrite,[status(thm)],[clause_2]),[]).
% 
% fof(clause_4,plain,(big_f(a)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN061-1.tptp',unknown),[]).
% 
% cnf(169871656,plain,(big_f(a)),inference(rewrite,[status(thm)],[clause_4]),[]).
% 
% cnf(177707576,plain,(~big_h(a)),inference(resolution,[status(thm)],[169862136,169871656]),[]).
% 
% fof(clause_5,plain,(big_h(A)|big_j(A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN061-1.tptp',unknown),[]).
% 
% cnf(169878056,plain,(big_h(A)|big_j(A)),inference(rewrite,[status(thm)],[clause_5]),[]).
% 
% fof(clause_6,plain,(~big_i(A)|~big_j(A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN061-1.tptp',unknown),[]).
% 
% cnf(169884480,plain,(~big_i(A)|~big_j(A)),inference(rewrite,[status(thm)],[clause_6]),[]).
% 
% fof(clause_3,plain,(big_i(a)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN061-1.tptp',unknown),[]).
% 
% cnf(169866864,plain,(big_i(a)),inference(rewrite,[status(thm)],[clause_3]),[]).
% 
% cnf(177681880,plain,(~big_j(a)),inference(resolution,[status(thm)],[169884480,169866864]),[]).
% 
% cnf(177712296,plain,(big_h(a)),inference(resolution,[status(thm)],[169878056,177681880]),[]).
% 
% cnf(contradiction,plain,$false,inference(resolution,[status(thm)],[177707576,177712296]),[]).
% 
% END OF PROOF SEQUENCE
% 
%------------------------------------------------------------------------------