TSTP Solution File: AGT015+1 by Metis---2.4

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Metis---2.4
% Problem  : AGT015+1 : TPTP v8.1.0. Bugfixed v3.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : metis --show proof --show saturation %s

% Computer : n024.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 600s
% DateTime : Thu Jul 14 12:02:04 EDT 2022

% Result   : Theorem 0.52s 0.69s
% Output   : CNFRefutation 0.52s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   28 (  16 unt;   0 def)
%            Number of atoms       :   44 (   0 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   40 (  24   ~;  13   |;   1   &)
%                                         (   0 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   3 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    5 (   4 usr;   1 prp; 0-3 aty)
%            Number of functors    :    3 (   3 usr;   3 con; 0-0 aty)
%            Number of variables   :   44 (   6 sgn  25   !;   6   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(a1_5,axiom,
    ! [A,L,C] :
      ( any_agent_in_all_proposed_teams(A,L,C)
     => accept_leader(A,L) ) ).

fof(a1_6,axiom,
    ! [A,L,C] :
      ( the_agent_not_in_any_proposed_teams(A,L,C)
     => ~ ( accept_city(A,C)
          & accept_leader(A,L) ) ) ).

fof(event_37,axiom,
    the_agent_not_in_any_proposed_teams(countryamedicalorganization,christiancountrychumanitarianorganization,coastvillage) ).

fof(event_38,axiom,
    any_agent_in_all_proposed_teams(countryamedicalorganization,christiancountrychumanitarianorganization,coastvillage) ).

fof(query_15,conjecture,
    ? [X,Y] : ~ accept_city(X,Y) ).

fof(subgoal_0,plain,
    ? [X,Y] : ~ accept_city(X,Y),
    inference(strip,[],[query_15]) ).

fof(negate_0_0,plain,
    ~ ? [X,Y] : ~ accept_city(X,Y),
    inference(negate,[],[subgoal_0]) ).

fof(normalize_0_0,plain,
    the_agent_not_in_any_proposed_teams(countryamedicalorganization,christiancountrychumanitarianorganization,coastvillage),
    inference(canonicalize,[],[event_37]) ).

fof(normalize_0_1,plain,
    ! [A,C,L] :
      ( ~ accept_city(A,C)
      | ~ accept_leader(A,L)
      | ~ the_agent_not_in_any_proposed_teams(A,L,C) ),
    inference(canonicalize,[],[a1_6]) ).

fof(normalize_0_2,plain,
    ! [A,C,L] :
      ( ~ accept_city(A,C)
      | ~ accept_leader(A,L)
      | ~ the_agent_not_in_any_proposed_teams(A,L,C) ),
    inference(specialize,[],[normalize_0_1]) ).

fof(normalize_0_3,plain,
    ! [X,Y] : accept_city(X,Y),
    inference(canonicalize,[],[negate_0_0]) ).

fof(normalize_0_4,plain,
    ! [X,Y] : accept_city(X,Y),
    inference(specialize,[],[normalize_0_3]) ).

fof(normalize_0_5,plain,
    any_agent_in_all_proposed_teams(countryamedicalorganization,christiancountrychumanitarianorganization,coastvillage),
    inference(canonicalize,[],[event_38]) ).

fof(normalize_0_6,plain,
    ! [A,L] :
      ( accept_leader(A,L)
      | ! [C] : ~ any_agent_in_all_proposed_teams(A,L,C) ),
    inference(canonicalize,[],[a1_5]) ).

fof(normalize_0_7,plain,
    ! [A,L] :
      ( accept_leader(A,L)
      | ! [C] : ~ any_agent_in_all_proposed_teams(A,L,C) ),
    inference(specialize,[],[normalize_0_6]) ).

fof(normalize_0_8,plain,
    ! [A,C,L] :
      ( ~ any_agent_in_all_proposed_teams(A,L,C)
      | accept_leader(A,L) ),
    inference(clausify,[],[normalize_0_7]) ).

cnf(refute_0_0,plain,
    the_agent_not_in_any_proposed_teams(countryamedicalorganization,christiancountrychumanitarianorganization,coastvillage),
    inference(canonicalize,[],[normalize_0_0]) ).

cnf(refute_0_1,plain,
    ( ~ accept_city(A,C)
    | ~ accept_leader(A,L)
    | ~ the_agent_not_in_any_proposed_teams(A,L,C) ),
    inference(canonicalize,[],[normalize_0_2]) ).

cnf(refute_0_2,plain,
    accept_city(X,Y),
    inference(canonicalize,[],[normalize_0_4]) ).

cnf(refute_0_3,plain,
    accept_city(A,C),
    inference(subst,[],[refute_0_2:[bind(X,$fot(A)),bind(Y,$fot(C))]]) ).

cnf(refute_0_4,plain,
    ( ~ accept_leader(A,L)
    | ~ the_agent_not_in_any_proposed_teams(A,L,C) ),
    inference(resolve,[$cnf( accept_city(A,C) )],[refute_0_3,refute_0_1]) ).

cnf(refute_0_5,plain,
    ( ~ accept_leader(countryamedicalorganization,christiancountrychumanitarianorganization)
    | ~ the_agent_not_in_any_proposed_teams(countryamedicalorganization,christiancountrychumanitarianorganization,coastvillage) ),
    inference(subst,[],[refute_0_4:[bind(A,$fot(countryamedicalorganization)),bind(C,$fot(coastvillage)),bind(L,$fot(christiancountrychumanitarianorganization))]]) ).

cnf(refute_0_6,plain,
    ~ accept_leader(countryamedicalorganization,christiancountrychumanitarianorganization),
    inference(resolve,[$cnf( the_agent_not_in_any_proposed_teams(countryamedicalorganization,christiancountrychumanitarianorganization,coastvillage) )],[refute_0_0,refute_0_5]) ).

cnf(refute_0_7,plain,
    any_agent_in_all_proposed_teams(countryamedicalorganization,christiancountrychumanitarianorganization,coastvillage),
    inference(canonicalize,[],[normalize_0_5]) ).

cnf(refute_0_8,plain,
    ( ~ any_agent_in_all_proposed_teams(A,L,C)
    | accept_leader(A,L) ),
    inference(canonicalize,[],[normalize_0_8]) ).

cnf(refute_0_9,plain,
    ( ~ any_agent_in_all_proposed_teams(countryamedicalorganization,christiancountrychumanitarianorganization,coastvillage)
    | accept_leader(countryamedicalorganization,christiancountrychumanitarianorganization) ),
    inference(subst,[],[refute_0_8:[bind(A,$fot(countryamedicalorganization)),bind(C,$fot(coastvillage)),bind(L,$fot(christiancountrychumanitarianorganization))]]) ).

cnf(refute_0_10,plain,
    accept_leader(countryamedicalorganization,christiancountrychumanitarianorganization),
    inference(resolve,[$cnf( any_agent_in_all_proposed_teams(countryamedicalorganization,christiancountrychumanitarianorganization,coastvillage) )],[refute_0_7,refute_0_9]) ).

cnf(refute_0_11,plain,
    $false,
    inference(resolve,[$cnf( accept_leader(countryamedicalorganization,christiancountrychumanitarianorganization) )],[refute_0_10,refute_0_6]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem  : AGT015+1 : TPTP v8.1.0. Bugfixed v3.1.0.
% 0.06/0.12  % Command  : metis --show proof --show saturation %s
% 0.12/0.33  % Computer : n024.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 600
% 0.12/0.33  % DateTime : Sat Jun  4 05:12:05 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.12/0.33  %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.52/0.69  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.52/0.69  
% 0.52/0.69  % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 0.52/0.69  
%------------------------------------------------------------------------------