TSTP Solution File: SYN065+1 by Faust---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Faust---1.0
% Problem  : SYN065+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 16:40:22 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    :   11 (   8 unt;   0 def)
%            Number of atoms       :   25 (   0 equ)
%            Maximal formula atoms :   12 (   2 avg)
%            Number of connectives :   27 (  13   ~;  11   |;   3   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   3 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    4 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :    2 (   2 usr;   1 con; 0-1 aty)
%            Number of variables   :   15 (   1 sgn   6   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(pel36_3,plain,
    ! [B,C,A] :
      ( ( ~ big_g(B,C)
        | big_h(A,C)
        | ~ big_f(A,B) )
      & ( ~ big_f(B,C)
        | big_h(A,C)
        | ~ big_f(A,B) )
      & ( ~ big_g(B,C)
        | big_h(A,C)
        | ~ big_g(A,B) )
      & ( ~ big_f(B,C)
        | big_h(A,C)
        | ~ big_g(A,B) ) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN065+1.tptp',unknown),
    [] ).

cnf(173441264,plain,
    ( ~ big_f(B,C)
    | big_h(A,C)
    | ~ big_g(A,B) ),
    inference(rewrite,[status(thm)],[pel36_3]),
    [] ).

fof(pel36_1,plain,
    ! [A] : big_f(A,y(A)),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN065+1.tptp',unknown),
    [] ).

cnf(173424976,plain,
    big_f(A,y(A)),
    inference(rewrite,[status(thm)],[pel36_1]),
    [] ).

cnf(181287392,plain,
    ( big_h(A,y(B))
    | ~ big_g(A,B) ),
    inference(resolution,[status(thm)],[173441264,173424976]),
    [] ).

fof(pel36_2,plain,
    ! [A] : big_g(A,y(A)),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN065+1.tptp',unknown),
    [] ).

cnf(173429768,plain,
    big_g(A,y(A)),
    inference(rewrite,[status(thm)],[pel36_2]),
    [] ).

cnf(181335872,plain,
    big_h(A,y(y(A))),
    inference(resolution,[status(thm)],[181287392,173429768]),
    [] ).

fof(pel36,plain,
    ! [B] : ~ big_h(x,B),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN065+1.tptp',unknown),
    [] ).

cnf(173496184,plain,
    ~ big_h(x,B),
    inference(rewrite,[status(thm)],[pel36]),
    [] ).

cnf(contradiction,plain,
    $false,
    inference(resolution,[status(thm)],[181335872,173496184]),
    [] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 0 seconds
% START OF PROOF SEQUENCE
% fof(pel36_3,plain,(((~big_g(B,C)|big_h(A,C)|~big_f(A,B))&(~big_f(B,C)|big_h(A,C)|~big_f(A,B))&(~big_g(B,C)|big_h(A,C)|~big_g(A,B))&(~big_f(B,C)|big_h(A,C)|~big_g(A,B)))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN065+1.tptp',unknown),[]).
% 
% cnf(173441264,plain,(~big_f(B,C)|big_h(A,C)|~big_g(A,B)),inference(rewrite,[status(thm)],[pel36_3]),[]).
% 
% fof(pel36_1,plain,(big_f(A,y(A))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN065+1.tptp',unknown),[]).
% 
% cnf(173424976,plain,(big_f(A,y(A))),inference(rewrite,[status(thm)],[pel36_1]),[]).
% 
% cnf(181287392,plain,(big_h(A,y(B))|~big_g(A,B)),inference(resolution,[status(thm)],[173441264,173424976]),[]).
% 
% fof(pel36_2,plain,(big_g(A,y(A))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN065+1.tptp',unknown),[]).
% 
% cnf(173429768,plain,(big_g(A,y(A))),inference(rewrite,[status(thm)],[pel36_2]),[]).
% 
% cnf(181335872,plain,(big_h(A,y(y(A)))),inference(resolution,[status(thm)],[181287392,173429768]),[]).
% 
% fof(pel36,plain,(~big_h(x,B)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN065+1.tptp',unknown),[]).
% 
% cnf(173496184,plain,(~big_h(x,B)),inference(rewrite,[status(thm)],[pel36]),[]).
% 
% cnf(contradiction,plain,$false,inference(resolution,[status(thm)],[181335872,173496184]),[]).
% 
% END OF PROOF SEQUENCE
% 
%------------------------------------------------------------------------------