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 v2.0.0.
% Transfm  : none
% Format   : tptp
% Command  : faust %s

% Computer : art04.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 16:40:02 EDT 2009

% Result   : Theorem 0.0s
% Output   : Refutation 0.0s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   12 (   5 unt;   0 def)
%            Number of atoms       :   21 (   0 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   20 (  11   ~;   7   |;   2   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   2 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    6 (   5 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(pel31_2,plain,
    ( big_i(x)
    & big_f(x) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN061+1.tptp',unknown),
    [] ).

cnf(159311752,plain,
    big_i(x),
    inference(rewrite,[status(thm)],[pel31_2]),
    [] ).

fof(pel31,plain,
    ! [A] :
      ( ~ big_i(A)
      | ~ big_j(A) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN061+1.tptp',unknown),
    [] ).

cnf(159347816,plain,
    ( ~ big_i(A)
    | ~ big_j(A) ),
    inference(rewrite,[status(thm)],[pel31]),
    [] ).

fof(pel31_3,plain,
    ! [A] :
      ( big_h(A)
      | big_j(A) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN061+1.tptp',unknown),
    [] ).

cnf(159318248,plain,
    ( big_h(A)
    | big_j(A) ),
    inference(rewrite,[status(thm)],[pel31_3]),
    [] ).

fof(pel31_1,plain,
    ! [A] :
      ( ( ~ big_h(A)
        | ~ big_f(A) )
      & ( ~ big_g(A)
        | ~ big_f(A) ) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN061+1.tptp',unknown),
    [] ).

cnf(159293840,plain,
    ( ~ big_h(A)
    | ~ big_f(A) ),
    inference(rewrite,[status(thm)],[pel31_1]),
    [] ).

cnf(159302792,plain,
    big_f(x),
    inference(rewrite,[status(thm)],[pel31_2]),
    [] ).

cnf(167157288,plain,
    ~ big_h(x),
    inference(resolution,[status(thm)],[159293840,159302792]),
    [] ).

cnf(167175720,plain,
    big_j(x),
    inference(resolution,[status(thm)],[159318248,167157288]),
    [] ).

cnf(contradiction,plain,
    $false,
    inference(forward_subsumption_resolution__resolution,[status(thm)],[159311752,159347816,167175720]),
    [] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 0 seconds
% START OF PROOF SEQUENCE
% fof(pel31_2,plain,((big_i(x)&big_f(x))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN061+1.tptp',unknown),[]).
% 
% cnf(159311752,plain,(big_i(x)),inference(rewrite,[status(thm)],[pel31_2]),[]).
% 
% fof(pel31,plain,(~big_i(A)|~big_j(A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN061+1.tptp',unknown),[]).
% 
% cnf(159347816,plain,(~big_i(A)|~big_j(A)),inference(rewrite,[status(thm)],[pel31]),[]).
% 
% fof(pel31_3,plain,(big_h(A)|big_j(A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN061+1.tptp',unknown),[]).
% 
% cnf(159318248,plain,(big_h(A)|big_j(A)),inference(rewrite,[status(thm)],[pel31_3]),[]).
% 
% fof(pel31_1,plain,(((~big_h(A)|~big_f(A))&(~big_g(A)|~big_f(A)))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN061+1.tptp',unknown),[]).
% 
% cnf(159293840,plain,(~big_h(A)|~big_f(A)),inference(rewrite,[status(thm)],[pel31_1]),[]).
% 
% cnf(159302792,plain,(big_f(x)),inference(rewrite,[status(thm)],[pel31_2]),[]).
% 
% cnf(167157288,plain,(~big_h(x)),inference(resolution,[status(thm)],[159293840,159302792]),[]).
% 
% cnf(167175720,plain,(big_j(x)),inference(resolution,[status(thm)],[159318248,167157288]),[]).
% 
% cnf(contradiction,plain,$false,inference(forward_subsumption_resolution__resolution,[status(thm)],[159311752,159347816,167175720]),[]).
% 
% END OF PROOF SEQUENCE
% 
%------------------------------------------------------------------------------