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Drodi---4.1.1.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : Drodi---4.1.1
% Problem  : AGT015+1 : TPTP v9.3.1. Bugfixed v3.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p

% Computer : n006.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 11:47:13 AM UTC 2026

% Result   : Theorem 0.13s 0.43s
% Output   : CNFRefutation 0.13s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   19 (  11 unt;   0 def)
%            Number of atoms       :   30 (   0 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   27 (  16   ~;   8   |;   1   &)
%                                         (   0 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   4 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   :   32 (  28   !;   4   ?)

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

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

fof(f31,axiom,
    the_agent_not_in_any_proposed_teams(muslimcountrybhumanitarianorganization,countryacivilorganization,towna),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f32,axiom,
    any_agent_in_all_proposed_teams(muslimcountrybhumanitarianorganization,countryacivilorganization,towna),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

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

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

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

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

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

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

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

fof(f694,plain,
    the_agent_not_in_any_proposed_teams(muslimcountrybhumanitarianorganization,countryacivilorganization,towna),
    inference(cnf_transformation,[status(thm)],[f31]) ).

fof(f695,plain,
    any_agent_in_all_proposed_teams(muslimcountrybhumanitarianorganization,countryacivilorganization,towna),
    inference(cnf_transformation,[status(thm)],[f32]) ).

fof(f1245,plain,
    ! [X,Y] : accept_city(X,Y),
    inference(pre_NNF_transformation,[status(thm)],[f557]) ).

fof(f1246,plain,
    ! [X0,X1] : accept_city(X0,X1),
    inference(cnf_transformation,[status(thm)],[f1245]) ).

fof(f1254,plain,
    ! [X0,X1,X2] :
      ( ~ accept_leader(X0,X1)
      | ~ the_agent_not_in_any_proposed_teams(X0,X1,X2) ),
    inference(forward_subsumption_resolution,[status(thm)],[f577,f1246]) ).

fof(f1255,plain,
    ~ accept_leader(muslimcountrybhumanitarianorganization,countryacivilorganization),
    inference(resolution,[status(thm)],[f694,f1254]) ).

fof(f1256,plain,
    accept_leader(muslimcountrybhumanitarianorganization,countryacivilorganization),
    inference(resolution,[status(thm)],[f695,f575]) ).

fof(f1257,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[f1256,f1255]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : AGT015+1 : TPTP v9.3.1. Bugfixed v3.1.0.
% 0.00/0.04  % Command  : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.38  % Computer : n006.cluster.edu
% 0.13/0.38  % Model    : x86_64 x86_64
% 0.13/0.38  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.38  % Memory   : 8046.5625MB
% 0.13/0.38  % OS       : Linux 6.8.0-71-generic
% 0.13/0.38  % CPULimit : 300
% 0.13/0.38  % WCLimit  : 300
% 0.13/0.38  % DateTime : Mon Sep 21 12:49:12 UTC 2026
% 0.13/0.38  % CPUTime  : 
% 0.13/0.41  % Drodi V4.1.1
% 0.13/0.43  % Refutation found
% 0.13/0.43  % SZS status Theorem for theBenchmark: Theorem is valid
% 0.13/0.43  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.13/0.47  % Elapsed time: 0.076020 seconds
% 0.13/0.47  % CPU time: 0.202119 seconds
% 0.13/0.47  % Total memory used: 105.029 MB
% 0.13/0.47  % Net memory used: 104.925 MB
%------------------------------------------------------------------------------