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FindProof---0.1.THM-Prf.s

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%------------------------------------------------------------------------------
% File     : FindProof---0.1
% Problem  : AGT014+2 : TPTP v9.3.1. Bugfixed v3.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300

% Computer : n003.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 : Fri Sep 25 12:50:46 PM UTC 2026

% Result   : Theorem 58.06s 8.10s
% Output   : Proof 58.06s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   19 (  11 unt;   0 def)
%            Number of atoms       :   61 (   0 equ)
%            Maximal formula atoms :   12 (   3 avg)
%            Number of connectives :   76 (  34   ~;  27   |;  14   &)
%                                         (   1 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   4 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-3 aty)
%            Number of functors    :   11 (  11 usr;  11 con; 0-0 aty)
%            Number of variables   :   24 (   4 sgn   9   !;   6   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f13,axiom,
    ! [A] :
      ( ( accept_population(A,other,n0)
        & accept_population(A,native,n85)
        & accept_population(A,muslim,n0)
        & accept_population(A,christian,n3)
        & accept_population(A,atheist,n12) )
    <=> accept_city(A,coastvillage) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a2_7) ).

fof(f13_nnf,plain,
    ! [A] :
      ( ( ~ accept_city(A,coastvillage)
        | ( accept_population(A,other,n0)
          & accept_population(A,native,n85)
          & accept_population(A,muslim,n0)
          & accept_population(A,christian,n3)
          & accept_population(A,atheist,n12) ) )
      & ( accept_city(A,coastvillage)
        | ~ accept_population(A,other,n0)
        | ~ accept_population(A,native,n85)
        | ~ accept_population(A,muslim,n0)
        | ~ accept_population(A,christian,n3)
        | ~ accept_population(A,atheist,n12) ) ),
    inference(nnf_transformation,[status(thm)],[f13]) ).

fof(f13_sk,plain,
    ! [A] :
      ( ( ~ accept_city(A,coastvillage)
        | ( accept_population(A,other,n0)
          & accept_population(A,native,n85)
          & accept_population(A,muslim,n0)
          & accept_population(A,christian,n3)
          & accept_population(A,atheist,n12) ) )
      & ( accept_city(A,coastvillage)
        | ~ accept_population(A,other,n0)
        | ~ accept_population(A,native,n85)
        | ~ accept_population(A,muslim,n0)
        | ~ accept_population(A,christian,n3)
        | ~ accept_population(A,atheist,n12) ) ),
    inference(skolemisation,[status(esa)],[f13_nnf]) ).

cnf(c47,plain,
    ( accept_city(X0,coastvillage)
    | ~ accept_population(X0,other,n0)
    | ~ accept_population(X0,native,n85)
    | ~ accept_population(X0,muslim,n0)
    | ~ accept_population(X0,christian,n3)
    | ~ accept_population(X0,atheist,n12) ),
    inference(cnf_transformation,[status(esa)],[f13_sk]) ).

fof(f922,conjecture,
    ? [X,Y,Z] : ~ accept_population(X,Y,Z),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',query_14) ).

fof(f922_neg,negated_conjecture,
    ~ ? [X,Y,Z] : ~ accept_population(X,Y,Z),
    inference(negated_conjecture,[status(cth)],[f922]) ).

fof(f922_nnf,plain,
    ! [X,Y,Z] : accept_population(X,Y,Z),
    inference(nnf_transformation,[status(thm)],[f922_neg]) ).

fof(f922_sk,plain,
    ! [X,Y,Z] : accept_population(X,Y,Z),
    inference(skolemisation,[status(esa)],[f922_nnf]) ).

cnf(c995,plain,
    accept_population(X0,X1,X2),
    inference(cnf_transformation,[status(esa)],[f922_sk]) ).

cnf(p1186,plain,
    ( accept_city(X0,coastvillage)
    | ~ accept_population(X0,other,n0)
    | ~ accept_population(X0,native,n85)
    | ~ accept_population(X0,muslim,n0)
    | ~ accept_population(X0,christian,n3) ),
    inference(resolution,[status(thm)],[c47,c995]) ).

cnf(p1237,plain,
    ( accept_city(X0,coastvillage)
    | ~ accept_population(X0,other,n0)
    | ~ accept_population(X0,native,n85)
    | ~ accept_population(X0,muslim,n0) ),
    inference(resolution,[status(thm)],[p1186,c995]) ).

cnf(p1238,plain,
    ( accept_city(X0,coastvillage)
    | ~ accept_population(X0,other,n0)
    | ~ accept_population(X0,native,n85) ),
    inference(resolution,[status(thm)],[p1237,c995]) ).

cnf(p1239,plain,
    ( accept_city(X0,coastvillage)
    | ~ accept_population(X0,other,n0) ),
    inference(resolution,[status(thm)],[p1238,c995]) ).

cnf(p1240,plain,
    accept_city(X0,coastvillage),
    inference(resolution,[status(thm)],[p1239,c995]) ).

fof(f281,axiom,
    ~ accept_city(countryamedicalorganization,coastvillage),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',deduced_13) ).

fof(f281_nnf,plain,
    ~ accept_city(countryamedicalorganization,coastvillage),
    inference(nnf_transformation,[status(thm)],[f281]) ).

fof(f281_sk,plain,
    ~ accept_city(countryamedicalorganization,coastvillage),
    inference(skolemisation,[status(esa)],[f281_nnf]) ).

cnf(c350,plain,
    ~ accept_city(countryamedicalorganization,coastvillage),
    inference(cnf_transformation,[status(esa)],[f281_sk]) ).

cnf(p1242,plain,
    $false,
    inference(resolution,[status(thm)],[p1240,c350]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : AGT014+2 : TPTP v9.3.1. Bugfixed v3.1.0.
% 0.00/0.04  % Command  : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.10/0.38  % Computer : n003.cluster.edu
% 0.10/0.38  % Model    : x86_64 x86_64
% 0.10/0.38  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.38  % Memory   : 8046.5625MB
% 0.10/0.38  % OS       : Linux 6.8.0-71-generic
% 0.10/0.38  % CPULimit : 300
% 0.10/0.38  % WCLimit  : 300
% 0.10/0.38  % DateTime : Fri Sep 25 04:26:23 UTC 2026
% 0.10/0.39  % CPUTime  : 
% 0.10/0.39  Running run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 58.06/8.10  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 58.06/8.10  % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------