TSTP Solution File: LCL170-1 by Faust---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Faust---1.0
% Problem  : LCL170-1 : TPTP v3.4.2. Released v1.1.0.
% Transfm  : none
% Format   : tptp
% Command  : faust %s

% Computer : art07.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 13:44:29 EDT 2009

% Result   : Unsatisfiable 0.1s
% Output   : Refutation 0.1s
% 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 :    4 (   2 avg)
%            Maximal term depth    :    4 (   2 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-1 aty)
%            Number of functors    :    4 (   4 usr;   2 con; 0-2 aty)
%            Number of variables   :    8 (   2 sgn   3   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(rule_1,plain,
    ! [A] :
      ( theorem(A)
      | ~ axiom(A) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/LCL/LCL170-1.tptp',unknown),
    [] ).

cnf(160044568,plain,
    ( theorem(A)
    | ~ axiom(A) ),
    inference(rewrite,[status(thm)],[rule_1]),
    [] ).

fof(axiom_1_3,plain,
    ! [A,B] : axiom(or(not(A),or(B,A))),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/LCL/LCL170-1.tptp',unknown),
    [] ).

cnf(160022304,plain,
    axiom(or(not(A),or(B,A))),
    inference(rewrite,[status(thm)],[axiom_1_3]),
    [] ).

cnf(167896464,plain,
    theorem(or(not(A),or(B,A))),
    inference(resolution,[status(thm)],[160044568,160022304]),
    [] ).

fof(prove_this,plain,
    ~ theorem(or(not(q),or(not(p),q))),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/LCL/LCL170-1.tptp',unknown),
    [] ).

cnf(160086032,plain,
    ~ theorem(or(not(q),or(not(p),q))),
    inference(rewrite,[status(thm)],[prove_this]),
    [] ).

cnf(contradiction,plain,
    $false,
    inference(resolution,[status(thm)],[167896464,160086032]),
    [] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 0 seconds
% START OF PROOF SEQUENCE
% fof(rule_1,plain,(theorem(A)|~axiom(A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/LCL/LCL170-1.tptp',unknown),[]).
% 
% cnf(160044568,plain,(theorem(A)|~axiom(A)),inference(rewrite,[status(thm)],[rule_1]),[]).
% 
% fof(axiom_1_3,plain,(axiom(or(not(A),or(B,A)))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/LCL/LCL170-1.tptp',unknown),[]).
% 
% cnf(160022304,plain,(axiom(or(not(A),or(B,A)))),inference(rewrite,[status(thm)],[axiom_1_3]),[]).
% 
% cnf(167896464,plain,(theorem(or(not(A),or(B,A)))),inference(resolution,[status(thm)],[160044568,160022304]),[]).
% 
% fof(prove_this,plain,(~theorem(or(not(q),or(not(p),q)))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/LCL/LCL170-1.tptp',unknown),[]).
% 
% cnf(160086032,plain,(~theorem(or(not(q),or(not(p),q)))),inference(rewrite,[status(thm)],[prove_this]),[]).
% 
% cnf(contradiction,plain,$false,inference(resolution,[status(thm)],[167896464,160086032]),[]).
% 
% END OF PROOF SEQUENCE
% 
%------------------------------------------------------------------------------