TSTP Solution File: SYN060-1 by Faust---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Faust---1.0
% Problem  : SYN060-1 : TPTP v3.4.2. Released v1.0.0.
% 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 16:39:58 EDT 2009

% Result   : Unsatisfiable 0.1s
% Output   : Refutation 0.1s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   11 (   5 unt;   0 def)
%            Number of atoms       :   17 (   0 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :   12 (   6   ~;   6   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   2 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    4 (   3 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_6,plain,
    ! [A] :
      ( big_i(A)
      | big_h(A) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN060-1.tptp',unknown),
    [] ).

cnf(169921560,plain,
    ( big_i(A)
    | big_h(A) ),
    inference(rewrite,[status(thm)],[clause_6]),
    [] ).

fof(clause_7,plain,
    ~ big_i(a),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN060-1.tptp',unknown),
    [] ).

cnf(169926184,plain,
    ~ big_i(a),
    inference(rewrite,[status(thm)],[clause_7]),
    [] ).

cnf(177718576,plain,
    big_h(a),
    inference(resolution,[status(thm)],[169921560,169926184]),
    [] ).

fof(clause_1,plain,
    ! [A] :
      ( ~ big_f(A)
      | ~ big_h(A) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN060-1.tptp',unknown),
    [] ).

cnf(169893008,plain,
    ( ~ big_f(A)
    | ~ big_h(A) ),
    inference(rewrite,[status(thm)],[clause_1]),
    [] ).

fof(clause_5,plain,
    ! [A] :
      ( big_i(A)
      | big_f(A) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN060-1.tptp',unknown),
    [] ).

cnf(169916872,plain,
    ( big_i(A)
    | big_f(A) ),
    inference(rewrite,[status(thm)],[clause_5]),
    [] ).

cnf(177709952,plain,
    big_f(a),
    inference(resolution,[status(thm)],[169916872,169926184]),
    [] ).

cnf(contradiction,plain,
    $false,
    inference(forward_subsumption_resolution__resolution,[status(thm)],[177718576,169893008,177709952]),
    [] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 0 seconds
% START OF PROOF SEQUENCE
% fof(clause_6,plain,(big_i(A)|big_h(A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN060-1.tptp',unknown),[]).
% 
% cnf(169921560,plain,(big_i(A)|big_h(A)),inference(rewrite,[status(thm)],[clause_6]),[]).
% 
% fof(clause_7,plain,(~big_i(a)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN060-1.tptp',unknown),[]).
% 
% cnf(169926184,plain,(~big_i(a)),inference(rewrite,[status(thm)],[clause_7]),[]).
% 
% cnf(177718576,plain,(big_h(a)),inference(resolution,[status(thm)],[169921560,169926184]),[]).
% 
% fof(clause_1,plain,(~big_f(A)|~big_h(A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN060-1.tptp',unknown),[]).
% 
% cnf(169893008,plain,(~big_f(A)|~big_h(A)),inference(rewrite,[status(thm)],[clause_1]),[]).
% 
% fof(clause_5,plain,(big_i(A)|big_f(A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN060-1.tptp',unknown),[]).
% 
% cnf(169916872,plain,(big_i(A)|big_f(A)),inference(rewrite,[status(thm)],[clause_5]),[]).
% 
% cnf(177709952,plain,(big_f(a)),inference(resolution,[status(thm)],[169916872,169926184]),[]).
% 
% cnf(contradiction,plain,$false,inference(forward_subsumption_resolution__resolution,[status(thm)],[177718576,169893008,177709952]),[]).
% 
% END OF PROOF SEQUENCE
% 
%------------------------------------------------------------------------------