TSTP Solution File: AGT014+1 by Drodi---3.6.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Drodi---3.6.0
% Problem  : AGT014+1 : TPTP v8.1.2. Bugfixed v3.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n007.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  : 300s
% DateTime : Tue Apr 30 20:08:45 EDT 2024

% Result   : Theorem 0.12s 0.37s
% Output   : CNFRefutation 0.12s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :    8
% Syntax   : Number of formulae    :   36 (  13 unt;   0 def)
%            Number of atoms       :   96 (   0 equ)
%            Maximal formula atoms :   12 (   2 avg)
%            Number of connectives :  106 (  46   ~;  40   |;  15   &)
%                                         (   3 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   4 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    8 (   7 usr;   3 prp; 0-3 aty)
%            Number of functors    :   12 (  12 usr;  12 con; 0-0 aty)
%            Number of variables   :   43 (  37   !;   6   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f5,axiom,
    ! [A,L,C] :
      ( any_agent_in_all_proposed_teams(A,L,C)
     => accept_leader(A,L) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f6,axiom,
    ! [A,L,C] :
      ( the_agent_not_in_any_proposed_teams(A,L,C)
     => ~ ( accept_city(A,C)
          & accept_leader(A,L) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f14,axiom,
    ! [A] :
      ( ( accept_population(A,atheist,n12)
        & accept_population(A,christian,n3)
        & accept_population(A,muslim,n0)
        & accept_population(A,native,n85)
        & accept_population(A,other,n0) )
    <=> accept_city(A,coastvillage) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f57,axiom,
    the_agent_not_in_any_proposed_teams(countryamedicalorganization,christiancountrychumanitarianorganization,coastvillage),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f58,axiom,
    any_agent_in_all_proposed_teams(countryamedicalorganization,christiancountrychumanitarianorganization,coastvillage),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f556,conjecture,
    ? [X,Y,Z] : ~ accept_population(X,Y,Z),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f557,negated_conjecture,
    ~ ? [X,Y,Z] : ~ accept_population(X,Y,Z),
    inference(negated_conjecture,[status(cth)],[f556]) ).

fof(f573,plain,
    ! [A,L,C] :
      ( ~ any_agent_in_all_proposed_teams(A,L,C)
      | accept_leader(A,L) ),
    inference(pre_NNF_transformation,[status(esa)],[f5]) ).

fof(f574,plain,
    ! [A,L] :
      ( ! [C] : ~ any_agent_in_all_proposed_teams(A,L,C)
      | accept_leader(A,L) ),
    inference(miniscoping,[status(esa)],[f573]) ).

fof(f575,plain,
    ! [X0,X1,X2] :
      ( ~ any_agent_in_all_proposed_teams(X0,X1,X2)
      | accept_leader(X0,X1) ),
    inference(cnf_transformation,[status(esa)],[f574]) ).

fof(f576,plain,
    ! [A,L,C] :
      ( ~ the_agent_not_in_any_proposed_teams(A,L,C)
      | ~ accept_city(A,C)
      | ~ accept_leader(A,L) ),
    inference(pre_NNF_transformation,[status(esa)],[f6]) ).

fof(f577,plain,
    ! [X0,X1,X2] :
      ( ~ the_agent_not_in_any_proposed_teams(X0,X1,X2)
      | ~ accept_city(X0,X2)
      | ~ accept_leader(X0,X1) ),
    inference(cnf_transformation,[status(esa)],[f576]) ).

fof(f628,plain,
    ! [A] :
      ( ( ~ accept_population(A,atheist,n12)
        | ~ accept_population(A,christian,n3)
        | ~ accept_population(A,muslim,n0)
        | ~ accept_population(A,native,n85)
        | ~ accept_population(A,other,n0)
        | accept_city(A,coastvillage) )
      & ( ( accept_population(A,atheist,n12)
          & accept_population(A,christian,n3)
          & accept_population(A,muslim,n0)
          & accept_population(A,native,n85)
          & accept_population(A,other,n0) )
        | ~ accept_city(A,coastvillage) ) ),
    inference(NNF_transformation,[status(esa)],[f14]) ).

fof(f629,plain,
    ( ! [A] :
        ( ~ accept_population(A,atheist,n12)
        | ~ accept_population(A,christian,n3)
        | ~ accept_population(A,muslim,n0)
        | ~ accept_population(A,native,n85)
        | ~ accept_population(A,other,n0)
        | accept_city(A,coastvillage) )
    & ! [A] :
        ( ( accept_population(A,atheist,n12)
          & accept_population(A,christian,n3)
          & accept_population(A,muslim,n0)
          & accept_population(A,native,n85)
          & accept_population(A,other,n0) )
        | ~ accept_city(A,coastvillage) ) ),
    inference(miniscoping,[status(esa)],[f628]) ).

fof(f630,plain,
    ! [X0] :
      ( ~ accept_population(X0,atheist,n12)
      | ~ accept_population(X0,christian,n3)
      | ~ accept_population(X0,muslim,n0)
      | ~ accept_population(X0,native,n85)
      | ~ accept_population(X0,other,n0)
      | accept_city(X0,coastvillage) ),
    inference(cnf_transformation,[status(esa)],[f629]) ).

fof(f720,plain,
    the_agent_not_in_any_proposed_teams(countryamedicalorganization,christiancountrychumanitarianorganization,coastvillage),
    inference(cnf_transformation,[status(esa)],[f57]) ).

fof(f721,plain,
    any_agent_in_all_proposed_teams(countryamedicalorganization,christiancountrychumanitarianorganization,coastvillage),
    inference(cnf_transformation,[status(esa)],[f58]) ).

fof(f1245,plain,
    ! [X,Y,Z] : accept_population(X,Y,Z),
    inference(pre_NNF_transformation,[status(esa)],[f557]) ).

fof(f1246,plain,
    ! [X0,X1,X2] : accept_population(X0,X1,X2),
    inference(cnf_transformation,[status(esa)],[f1245]) ).

fof(f1276,plain,
    ( spl0_2
  <=> accept_city(countryamedicalorganization,coastvillage) ),
    introduced(split_symbol_definition) ).

fof(f1278,plain,
    ( ~ accept_city(countryamedicalorganization,coastvillage)
    | spl0_2 ),
    inference(component_clause,[status(thm)],[f1276]) ).

fof(f1279,plain,
    ( spl0_3
  <=> accept_leader(countryamedicalorganization,christiancountrychumanitarianorganization) ),
    introduced(split_symbol_definition) ).

fof(f1281,plain,
    ( ~ accept_leader(countryamedicalorganization,christiancountrychumanitarianorganization)
    | spl0_3 ),
    inference(component_clause,[status(thm)],[f1279]) ).

fof(f1282,plain,
    ( ~ accept_city(countryamedicalorganization,coastvillage)
    | ~ accept_leader(countryamedicalorganization,christiancountrychumanitarianorganization) ),
    inference(resolution,[status(thm)],[f720,f577]) ).

fof(f1283,plain,
    ( ~ spl0_2
    | ~ spl0_3 ),
    inference(split_clause,[status(thm)],[f1282,f1276,f1279]) ).

fof(f1284,plain,
    accept_leader(countryamedicalorganization,christiancountrychumanitarianorganization),
    inference(resolution,[status(thm)],[f721,f575]) ).

fof(f1503,plain,
    ! [X0] :
      ( ~ accept_population(X0,christian,n3)
      | ~ accept_population(X0,muslim,n0)
      | ~ accept_population(X0,native,n85)
      | ~ accept_population(X0,other,n0)
      | accept_city(X0,coastvillage) ),
    inference(forward_subsumption_resolution,[status(thm)],[f630,f1246]) ).

fof(f1504,plain,
    ! [X0] :
      ( ~ accept_population(X0,christian,n3)
      | ~ accept_population(X0,native,n85)
      | ~ accept_population(X0,other,n0)
      | accept_city(X0,coastvillage) ),
    inference(resolution,[status(thm)],[f1503,f1246]) ).

fof(f1505,plain,
    ! [X0] :
      ( ~ accept_population(X0,native,n85)
      | ~ accept_population(X0,other,n0)
      | accept_city(X0,coastvillage) ),
    inference(forward_subsumption_resolution,[status(thm)],[f1504,f1246]) ).

fof(f1510,plain,
    ! [X0] :
      ( ~ accept_population(X0,other,n0)
      | accept_city(X0,coastvillage) ),
    inference(forward_subsumption_resolution,[status(thm)],[f1505,f1246]) ).

fof(f1511,plain,
    ! [X0] : accept_city(X0,coastvillage),
    inference(resolution,[status(thm)],[f1510,f1246]) ).

fof(f1512,plain,
    ( $false
    | spl0_2 ),
    inference(backward_subsumption_resolution,[status(thm)],[f1278,f1511]) ).

fof(f1513,plain,
    spl0_2,
    inference(contradiction_clause,[status(thm)],[f1512]) ).

fof(f1514,plain,
    ( $false
    | spl0_3 ),
    inference(forward_subsumption_resolution,[status(thm)],[f1281,f1284]) ).

fof(f1515,plain,
    spl0_3,
    inference(contradiction_clause,[status(thm)],[f1514]) ).

fof(f1516,plain,
    $false,
    inference(sat_refutation,[status(thm)],[f1283,f1513,f1515]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12  % Problem  : AGT014+1 : TPTP v8.1.2. Bugfixed v3.1.0.
% 0.12/0.13  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.12/0.34  % Computer : n007.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 300
% 0.12/0.34  % DateTime : Mon Apr 29 22:51:47 EDT 2024
% 0.12/0.34  % CPUTime  : 
% 0.12/0.36  % Drodi V3.6.0
% 0.12/0.37  % Refutation found
% 0.12/0.37  % SZS status Theorem for theBenchmark: Theorem is valid
% 0.12/0.37  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.12/0.39  % Elapsed time: 0.036166 seconds
% 0.12/0.39  % CPU time: 0.074565 seconds
% 0.12/0.39  % Total memory used: 19.208 MB
% 0.12/0.39  % Net memory used: 19.157 MB
%------------------------------------------------------------------------------