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Drodi---4.1.1.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : Drodi---4.1.1
% Problem  : AGT003+1 : TPTP v9.3.1. Bugfixed v3.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p

% Computer : n017.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Thu Sep 24 11:47:11 AM UTC 2026

% Result   : Theorem 0.09s 5.40s
% Output   : CNFRefutation 0.14s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    8
% Syntax   : Number of formulae    :   34 (  16 unt;   3 def)
%            Number of atoms       :   70 (   0 equ)
%            Maximal formula atoms :    8 (   2 avg)
%            Number of connectives :   61 (  25   ~;  24   |;   8   &)
%                                         (   4 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   3 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    8 (   7 usr;   4 prp; 0-4 aty)
%            Number of functors    :    8 (   8 usr;   8 con; 0-0 aty)
%            Number of variables   :   32 (  32   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,axiom,
    ! [A,C,N,L] :
      ( accept_team(A,L,C,N)
    <=> ( accept_number(A,N)
        & accept_leader(A,L)
        & accept_city(A,C) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f46,axiom,
    accept_team(christiansufferterrahumanitarianorganization,countryacivilorganization,towna,n6),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f110,axiom,
    accept_team(christiansufferterrahumanitarianorganization,countryahumanitarianorganization,coastvillage,n5),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f113,axiom,
    accept_team(christiansufferterrahumanitarianorganization,countryafirstaidorganization,coastvillage,n6),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f556,conjecture,
    accept_team(christiansufferterrahumanitarianorganization,countryafirstaidorganization,towna,n5),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f557,negated_conjecture,
    ~ accept_team(christiansufferterrahumanitarianorganization,countryafirstaidorganization,towna,n5),
    inference(negated_conjecture,[status(cth)],[f556]) ).

fof(f558,plain,
    ! [A,C,N,L] :
      ( ( ~ accept_number(A,N)
        | ~ accept_leader(A,L)
        | ~ accept_city(A,C)
        | accept_team(A,L,C,N) )
      & ( ( accept_number(A,N)
          & accept_leader(A,L)
          & accept_city(A,C) )
        | ~ accept_team(A,L,C,N) ) ),
    inference(NNF_transformation,[status(thm)],[f1]) ).

fof(f559,plain,
    ( ! [A,C,N,L] :
        ( ~ accept_number(A,N)
        | ~ accept_leader(A,L)
        | ~ accept_city(A,C)
        | accept_team(A,L,C,N) )
    & ! [A,C,N,L] :
        ( ( accept_number(A,N)
          & accept_leader(A,L)
          & accept_city(A,C) )
        | ~ accept_team(A,L,C,N) ) ),
    inference(miniscoping,[status(thm)],[f558]) ).

fof(f560,plain,
    ! [X0,X1,X2,X3] :
      ( accept_city(X0,X2)
      | ~ accept_team(X0,X1,X2,X3) ),
    inference(cnf_transformation,[status(thm)],[f559]) ).

fof(f561,plain,
    ! [X0,X1,X2,X3] :
      ( accept_leader(X0,X1)
      | ~ accept_team(X0,X1,X2,X3) ),
    inference(cnf_transformation,[status(thm)],[f559]) ).

fof(f562,plain,
    ! [X0,X1,X2,X3] :
      ( accept_number(X0,X3)
      | ~ accept_team(X0,X1,X2,X3) ),
    inference(cnf_transformation,[status(thm)],[f559]) ).

fof(f563,plain,
    ! [X0,X1,X2,X3] :
      ( ~ accept_number(X0,X3)
      | ~ accept_leader(X0,X1)
      | ~ accept_city(X0,X2)
      | accept_team(X0,X1,X2,X3) ),
    inference(cnf_transformation,[status(thm)],[f559]) ).

fof(f709,plain,
    accept_team(christiansufferterrahumanitarianorganization,countryacivilorganization,towna,n6),
    inference(cnf_transformation,[status(thm)],[f46]) ).

fof(f773,plain,
    accept_team(christiansufferterrahumanitarianorganization,countryahumanitarianorganization,coastvillage,n5),
    inference(cnf_transformation,[status(thm)],[f110]) ).

fof(f776,plain,
    accept_team(christiansufferterrahumanitarianorganization,countryafirstaidorganization,coastvillage,n6),
    inference(cnf_transformation,[status(thm)],[f113]) ).

fof(f1245,plain,
    ~ accept_team(christiansufferterrahumanitarianorganization,countryafirstaidorganization,towna,n5),
    inference(cnf_transformation,[status(thm)],[f557]) ).

fof(f1249,plain,
    accept_city(christiansufferterrahumanitarianorganization,towna),
    inference(resolution,[status(thm)],[f560,f709]) ).

fof(f1278,plain,
    accept_number(christiansufferterrahumanitarianorganization,n5),
    inference(resolution,[status(thm)],[f773,f562]) ).

fof(f1285,plain,
    ( ~ accept_number(christiansufferterrahumanitarianorganization,n5)
    | ~ accept_leader(christiansufferterrahumanitarianorganization,countryafirstaidorganization)
    | ~ accept_city(christiansufferterrahumanitarianorganization,towna) ),
    inference(resolution,[status(thm)],[f563,f1245]) ).

fof(f1299,definition,
    ( sQ3_spl
  <=> accept_city(christiansufferterrahumanitarianorganization,towna) ),
    introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition]) ).

fof(f1301,plain,
    ( sQ3_spl
    | ~ accept_city(christiansufferterrahumanitarianorganization,towna) ),
    inference(component_clause,[status(thm)],[f1299]) ).

fof(f1302,definition,
    ( sQ4_spl
  <=> accept_leader(christiansufferterrahumanitarianorganization,countryafirstaidorganization) ),
    introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition]) ).

fof(f1304,plain,
    ( sQ4_spl
    | ~ accept_leader(christiansufferterrahumanitarianorganization,countryafirstaidorganization) ),
    inference(component_clause,[status(thm)],[f1302]) ).

fof(f1305,definition,
    ( sQ5_spl
  <=> accept_number(christiansufferterrahumanitarianorganization,n5) ),
    introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition]) ).

fof(f1307,plain,
    ( sQ5_spl
    | ~ accept_number(christiansufferterrahumanitarianorganization,n5) ),
    inference(component_clause,[status(thm)],[f1305]) ).

fof(f1308,plain,
    ( ~ sQ5_spl
    | ~ sQ4_spl
    | ~ sQ3_spl ),
    inference(split_clause,[status(thm)],[f1285,f1299,f1302,f1305]) ).

fof(f1309,plain,
    ( sQ3_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f1301,f1249]) ).

fof(f1310,plain,
    sQ3_spl,
    inference(contradiction_clause,[status(thm)],[f1309]) ).

fof(f1311,plain,
    ( sQ5_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f1278,f1307]) ).

fof(f1312,plain,
    sQ5_spl,
    inference(contradiction_clause,[status(thm)],[f1311]) ).

fof(f1317,plain,
    accept_leader(christiansufferterrahumanitarianorganization,countryafirstaidorganization),
    inference(resolution,[status(thm)],[f776,f561]) ).

fof(f1319,plain,
    ( sQ4_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f1317,f1304]) ).

fof(f1320,plain,
    sQ4_spl,
    inference(contradiction_clause,[status(thm)],[f1319]) ).

fof(f1321,plain,
    $false,
    inference(sat_refutation,[status(thm)],[f1308,f1310,f1312,f1320]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : AGT003+1 : TPTP v9.3.1. Bugfixed v3.1.0.
% 0.00/0.04  % Command  : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/5.36  % Computer : n017.cluster.edu
% 0.09/5.36  % Model    : x86_64 x86_64
% 0.09/5.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/5.36  % Memory   : 8046.5625MB
% 0.09/5.36  % OS       : Linux 6.8.0-71-generic
% 0.09/5.36  % CPULimit : 300
% 0.09/5.36  % WCLimit  : 300
% 0.09/5.36  % DateTime : Mon Sep 21 12:43:32 UTC 2026
% 0.09/5.37  % CPUTime  : 
% 0.09/5.38  % Drodi V4.1.1
% 0.09/5.40  % Refutation found
% 0.09/5.40  % SZS status Theorem for theBenchmark: Theorem is valid
% 0.09/5.40  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.14/5.43  % Elapsed time: 0.055241 seconds
% 0.14/5.43  % CPU time: 0.183884 seconds
% 0.14/5.43  % Total memory used: 105.355 MB
% 0.14/5.43  % Net memory used: 105.256 MB
%------------------------------------------------------------------------------