TSTP Solution File: SYN251-1 by Faust---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Faust---1.0
% Problem  : SYN251-1 : TPTP v3.4.2. Released v1.1.0.
% Transfm  : none
% Format   : tptp
% Command  : faust %s

% Computer : art10.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 17:26:40 EDT 2009

% Result   : Unsatisfiable 0.6s
% Output   : Refutation 0.6s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   11 (   8 unt;   0 def)
%            Number of atoms       :   16 (   0 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   12 (   7   ~;   5   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   2 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    4 (   3 usr;   1 prp; 0-3 aty)
%            Number of functors    :    3 (   3 usr;   3 con; 0-0 aty)
%            Number of variables   :    7 (   2 sgn   3   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(rule_015,plain,
    ! [A,B,C] :
      ( m1(A,B,B)
      | ~ l0(C)
      | ~ m0(B,B,A) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN251-1.tptp',unknown),
    [] ).

cnf(178289968,plain,
    ( m1(A,B,B)
    | ~ l0(C)
    | ~ m0(B,B,A) ),
    inference(rewrite,[status(thm)],[rule_015]),
    [] ).

fof(axiom_31,plain,
    m0(b,b,e),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN251-1.tptp',unknown),
    [] ).

cnf(178075312,plain,
    m0(b,b,e),
    inference(rewrite,[status(thm)],[axiom_31]),
    [] ).

cnf(193312792,plain,
    ( m1(e,b,b)
    | ~ l0(A) ),
    inference(resolution,[status(thm)],[178289968,178075312]),
    [] ).

fof(axiom_20,plain,
    l0(a),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN251-1.tptp',unknown),
    [] ).

cnf(178018584,plain,
    l0(a),
    inference(rewrite,[status(thm)],[axiom_20]),
    [] ).

cnf(193318840,plain,
    m1(e,b,b),
    inference(resolution,[status(thm)],[193312792,178018584]),
    [] ).

fof(prove_this,plain,
    ~ m1(e,b,b),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN251-1.tptp',unknown),
    [] ).

cnf(182287832,plain,
    ~ m1(e,b,b),
    inference(rewrite,[status(thm)],[prove_this]),
    [] ).

cnf(contradiction,plain,
    $false,
    inference(resolution,[status(thm)],[193318840,182287832]),
    [] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 1 seconds
% START OF PROOF SEQUENCE
% fof(rule_015,plain,(m1(A,B,B)|~l0(C)|~m0(B,B,A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN251-1.tptp',unknown),[]).
% 
% cnf(178289968,plain,(m1(A,B,B)|~l0(C)|~m0(B,B,A)),inference(rewrite,[status(thm)],[rule_015]),[]).
% 
% fof(axiom_31,plain,(m0(b,b,e)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN251-1.tptp',unknown),[]).
% 
% cnf(178075312,plain,(m0(b,b,e)),inference(rewrite,[status(thm)],[axiom_31]),[]).
% 
% cnf(193312792,plain,(m1(e,b,b)|~l0(A)),inference(resolution,[status(thm)],[178289968,178075312]),[]).
% 
% fof(axiom_20,plain,(l0(a)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN251-1.tptp',unknown),[]).
% 
% cnf(178018584,plain,(l0(a)),inference(rewrite,[status(thm)],[axiom_20]),[]).
% 
% cnf(193318840,plain,(m1(e,b,b)),inference(resolution,[status(thm)],[193312792,178018584]),[]).
% 
% fof(prove_this,plain,(~m1(e,b,b)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN251-1.tptp',unknown),[]).
% 
% cnf(182287832,plain,(~m1(e,b,b)),inference(rewrite,[status(thm)],[prove_this]),[]).
% 
% cnf(contradiction,plain,$false,inference(resolution,[status(thm)],[193318840,182287832]),[]).
% 
% END OF PROOF SEQUENCE
% 
%------------------------------------------------------------------------------