TSTP Solution File: SYN727+1 by Faust---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Faust---1.0
% Problem  : SYN727+1 : TPTP v3.4.2. Released v2.5.0.
% Transfm  : none
% Format   : tptp
% Command  : faust %s

% Computer : art05.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 18:20:33 EDT 2009

% Result   : Theorem 0.1s
% Output   : Refutation 0.1s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    1
% Syntax   : Number of formulae    :    6 (   4 unt;   0 def)
%            Number of atoms       :   24 (   0 equ)
%            Maximal formula atoms :   18 (   4 avg)
%            Number of connectives :   29 (  11   ~;  10   |;   8   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   15 (   4 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    3 (   3 usr;   2 con; 0-4 aty)
%            Number of variables   :   12 (   6 sgn   4   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(thm68,plain,
    ! [D,A,B,C] :
      ( ( ~ likes(D,v(A,B,C,D))
        | likes(lyle,B) )
      & ( ~ likes(B,C)
        | likes(lyle,B) )
      & ( likes(A,bruce)
        | likes(lyle,B) )
      & ( ~ likes(D,v(A,B,C,D))
        | likes(A,bruce) )
      & ( ~ likes(B,C)
        | likes(A,bruce) )
      & ( likes(A,bruce)
        | likes(A,bruce) )
      & ( ~ likes(D,v(A,B,C,D))
        | ~ likes(D,v(A,B,C,D)) )
      & ( ~ likes(B,C)
        | ~ likes(D,v(A,B,C,D)) )
      & ( likes(A,bruce)
        | ~ likes(D,v(A,B,C,D)) ) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN727+1.tptp',unknown),
    [] ).

cnf(141339328,plain,
    ( ~ likes(B,C)
    | likes(lyle,B) ),
    inference(rewrite,[status(thm)],[thm68]),
    [] ).

cnf(141329472,plain,
    likes(A,bruce),
    inference(rewrite,[status(thm)],[thm68]),
    [] ).

cnf(159605696,plain,
    likes(lyle,B),
    inference(resolution,[status(thm)],[141339328,141329472]),
    [] ).

cnf(141325808,plain,
    ~ likes(D,v(A,B,C,D)),
    inference(rewrite,[status(thm)],[thm68]),
    [] ).

cnf(contradiction,plain,
    $false,
    inference(resolution,[status(thm)],[159605696,141325808]),
    [] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 0 seconds
% START OF PROOF SEQUENCE
% fof(thm68,plain,(((~likes(D,v(A,B,C,D))|likes(lyle,B))&(~likes(B,C)|likes(lyle,B))&(likes(A,bruce)|likes(lyle,B))&(~likes(D,v(A,B,C,D))|likes(A,bruce))&(~likes(B,C)|likes(A,bruce))&(likes(A,bruce)|likes(A,bruce))&(~likes(D,v(A,B,C,D))|~likes(D,v(A,B,C,D)))&(~likes(B,C)|~likes(D,v(A,B,C,D)))&(likes(A,bruce)|~likes(D,v(A,B,C,D))))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN727+1.tptp',unknown),[]).
% 
% cnf(141339328,plain,(~likes(B,C)|likes(lyle,B)),inference(rewrite,[status(thm)],[thm68]),[]).
% 
% cnf(141329472,plain,(likes(A,bruce)),inference(rewrite,[status(thm)],[thm68]),[]).
% 
% cnf(159605696,plain,(likes(lyle,B)),inference(resolution,[status(thm)],[141339328,141329472]),[]).
% 
% cnf(141325808,plain,(~likes(D,v(A,B,C,D))),inference(rewrite,[status(thm)],[thm68]),[]).
% 
% cnf(contradiction,plain,$false,inference(resolution,[status(thm)],[159605696,141325808]),[]).
% 
% END OF PROOF SEQUENCE
% 
%------------------------------------------------------------------------------