TSTP Solution File: SYN292-1 by Faust---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Faust---1.0
% Problem  : SYN292-1 : TPTP v3.4.2. Released v1.1.0.
% 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 17:46:00 EDT 2009

% Result   : Unsatisfiable 0.4s
% Output   : Refutation 0.4s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    3
% Syntax   : Number of formulae    :    8 (   6 unt;   0 def)
%            Number of atoms       :   10 (   0 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :    6 (   4   ~;   2   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   2 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-3 aty)
%            Number of functors    :    2 (   2 usr;   2 con; 0-0 aty)
%            Number of variables   :    7 (   2 sgn   3   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(prove_this,plain,
    ~ q1(d,b,b),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN292-1.tptp',unknown),
    [] ).

cnf(175144136,plain,
    ~ q1(d,b,b),
    inference(rewrite,[status(thm)],[prove_this]),
    [] ).

fof(rule_095,plain,
    ! [A,B] :
      ( q1(A,B,B)
      | ~ p0(B,A) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN292-1.tptp',unknown),
    [] ).

cnf(173958064,plain,
    ( q1(A,B,B)
    | ~ p0(B,A) ),
    inference(rewrite,[status(thm)],[rule_095]),
    [] ).

fof(axiom_14,plain,
    ! [A] : p0(b,A),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN292-1.tptp',unknown),
    [] ).

cnf(172812472,plain,
    p0(b,A),
    inference(rewrite,[status(thm)],[axiom_14]),
    [] ).

cnf(187255960,plain,
    q1(A,b,b),
    inference(resolution,[status(thm)],[173958064,172812472]),
    [] ).

cnf(contradiction,plain,
    $false,
    inference(resolution,[status(thm)],[175144136,187255960]),
    [] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 0 seconds
% START OF PROOF SEQUENCE
% fof(prove_this,plain,(~q1(d,b,b)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN292-1.tptp',unknown),[]).
% 
% cnf(175144136,plain,(~q1(d,b,b)),inference(rewrite,[status(thm)],[prove_this]),[]).
% 
% fof(rule_095,plain,(q1(A,B,B)|~p0(B,A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN292-1.tptp',unknown),[]).
% 
% cnf(173958064,plain,(q1(A,B,B)|~p0(B,A)),inference(rewrite,[status(thm)],[rule_095]),[]).
% 
% fof(axiom_14,plain,(p0(b,A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN292-1.tptp',unknown),[]).
% 
% cnf(172812472,plain,(p0(b,A)),inference(rewrite,[status(thm)],[axiom_14]),[]).
% 
% cnf(187255960,plain,(q1(A,b,b)),inference(resolution,[status(thm)],[173958064,172812472]),[]).
% 
% cnf(contradiction,plain,$false,inference(resolution,[status(thm)],[175144136,187255960]),[]).
% 
% END OF PROOF SEQUENCE
% 
%------------------------------------------------------------------------------