TSTP Solution File: MGT059-1 by Faust---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Faust---1.0
% Problem  : MGT059-1 : TPTP v3.4.2. Released v2.4.0.
% Transfm  : none
% Format   : tptp
% Command  : faust %s

% Computer : art06.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 14:04:24 EDT 2009

% Result   : Unsatisfiable 0.1s
% Output   : Refutation 0.1s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   14 (  12 unt;   0 def)
%            Number of atoms       :   18 (   0 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   10 (   6   ~;   4   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   2 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   4 con; 0-2 aty)
%            Number of variables   :    4 (   0 sgn   2   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(assumption_2_37,plain,
    organization(sk1),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT059-1.tptp',unknown),
    [] ).

cnf(143531384,plain,
    organization(sk1),
    inference(rewrite,[status(thm)],[assumption_2_37]),
    [] ).

fof(assumption_17_32,plain,
    ! [A,B] :
      ( ~ organization(A)
      | ~ has_immunity(A,B)
      | $equal(very_low,hazard_of_mortality(A,B)) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT059-1.tptp',unknown),
    [] ).

cnf(143485752,plain,
    ( ~ organization(A)
    | ~ has_immunity(A,B)
    | $equal(very_low,hazard_of_mortality(A,B)) ),
    inference(rewrite,[status(thm)],[assumption_17_32]),
    [] ).

fof(assumption_2_39,plain,
    has_immunity(sk1,sk3),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT059-1.tptp',unknown),
    [] ).

cnf(143545008,plain,
    has_immunity(sk1,sk3),
    inference(rewrite,[status(thm)],[assumption_2_39]),
    [] ).

cnf(159479400,plain,
    $equal(very_low,hazard_of_mortality(sk1,sk3)),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[143531384,143485752,143545008]),
    [] ).

fof(assumption_2_38,plain,
    has_immunity(sk1,sk2),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT059-1.tptp',unknown),
    [] ).

cnf(143536520,plain,
    has_immunity(sk1,sk2),
    inference(rewrite,[status(thm)],[assumption_2_38]),
    [] ).

cnf(159465392,plain,
    $equal(very_low,hazard_of_mortality(sk1,sk2)),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[143531384,143485752,143536520]),
    [] ).

cnf(160403400,plain,
    $equal(hazard_of_mortality(sk1,sk3),hazard_of_mortality(sk1,sk2)),
    inference(paramodulation,[status(thm)],[159479400,159465392,theory(equality)]),
    [] ).

fof(assumption_2_40,plain,
    ~ $equal(hazard_of_mortality(sk1,sk3),hazard_of_mortality(sk1,sk2)),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT059-1.tptp',unknown),
    [] ).

cnf(143548816,plain,
    ~ $equal(hazard_of_mortality(sk1,sk3),hazard_of_mortality(sk1,sk2)),
    inference(rewrite,[status(thm)],[assumption_2_40]),
    [] ).

cnf(contradiction,plain,
    $false,
    inference(resolution,[status(thm)],[160403400,143548816]),
    [] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 0 seconds
% START OF PROOF SEQUENCE
% fof(assumption_2_37,plain,(organization(sk1)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT059-1.tptp',unknown),[]).
% 
% cnf(143531384,plain,(organization(sk1)),inference(rewrite,[status(thm)],[assumption_2_37]),[]).
% 
% fof(assumption_17_32,plain,(~organization(A)|~has_immunity(A,B)|$equal(very_low,hazard_of_mortality(A,B))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT059-1.tptp',unknown),[]).
% 
% cnf(143485752,plain,(~organization(A)|~has_immunity(A,B)|$equal(very_low,hazard_of_mortality(A,B))),inference(rewrite,[status(thm)],[assumption_17_32]),[]).
% 
% fof(assumption_2_39,plain,(has_immunity(sk1,sk3)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT059-1.tptp',unknown),[]).
% 
% cnf(143545008,plain,(has_immunity(sk1,sk3)),inference(rewrite,[status(thm)],[assumption_2_39]),[]).
% 
% cnf(159479400,plain,($equal(very_low,hazard_of_mortality(sk1,sk3))),inference(forward_subsumption_resolution__resolution,[status(thm)],[143531384,143485752,143545008]),[]).
% 
% fof(assumption_2_38,plain,(has_immunity(sk1,sk2)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT059-1.tptp',unknown),[]).
% 
% cnf(143536520,plain,(has_immunity(sk1,sk2)),inference(rewrite,[status(thm)],[assumption_2_38]),[]).
% 
% cnf(159465392,plain,($equal(very_low,hazard_of_mortality(sk1,sk2))),inference(forward_subsumption_resolution__resolution,[status(thm)],[143531384,143485752,143536520]),[]).
% 
% cnf(160403400,plain,($equal(hazard_of_mortality(sk1,sk3),hazard_of_mortality(sk1,sk2))),inference(paramodulation,[status(thm)],[159479400,159465392,theory(equality)]),[]).
% 
% fof(assumption_2_40,plain,(~$equal(hazard_of_mortality(sk1,sk3),hazard_of_mortality(sk1,sk2))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT059-1.tptp',unknown),[]).
% 
% cnf(143548816,plain,(~$equal(hazard_of_mortality(sk1,sk3),hazard_of_mortality(sk1,sk2))),inference(rewrite,[status(thm)],[assumption_2_40]),[]).
% 
% cnf(contradiction,plain,$false,inference(resolution,[status(thm)],[160403400,143548816]),[]).
% 
% END OF PROOF SEQUENCE
% 
%------------------------------------------------------------------------------