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ConnectPP---0.7.2.THM-Prf.s

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%------------------------------------------------------------------------------
% File     : ConnectPP---0.7.2
% Problem  : AGT016+1 : TPTP v9.3.1. Bugfixed v3.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : /export/starexec/sandbox2/solver/bin/connect++ --verbosity 1 --no-colour --tptp-proof --schedule default --timeout 300 /export/starexec/sandbox2/benchmark/theBenchmark.p

% Computer : n015.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 08:11:30 AM UTC 2026

% Result   : Theorem 0.39s 0.66s
% Output   : Proof 0.39s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   45 (  28 unt;   0 def)
%            Number of atoms       :  109 (   0 equ)
%            Maximal formula atoms :   12 (   2 avg)
%            Number of connectives :  113 (  49   ~;  41   |;  20   &)
%                                         (   1 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   3 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    6 (   5 usr;   1 prp; 0-3 aty)
%            Number of functors    :   12 (  12 usr;  12 con; 0-0 aty)
%            Number of variables   :   45 (   3 sgn  32   !;   4   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(a1_5,axiom,
    ! [A,L,C] :
      ( any_agent_in_all_proposed_teams(A,L,C)
     => accept_leader(A,L) ),
    file('AGT001+0.ax',a1_5) ).

fof(a1_6,axiom,
    ! [A,L,C] :
      ( the_agent_not_in_any_proposed_teams(A,L,C)
     => ~ ( accept_leader(A,L)
          & accept_city(A,C) ) ),
    file('AGT001+0.ax',a1_6) ).

fof(a2_9,axiom,
    ! [A] :
      ( ( accept_population(A,other,n0)
        & accept_population(A,native,n0)
        & accept_population(A,muslim,n1)
        & accept_population(A,christian,n24)
        & accept_population(A,atheist,n75) )
    <=> accept_city(A,towna) ),
    file('AGT001+0.ax',a2_9) ).

fof(event_248,axiom,
    the_agent_not_in_any_proposed_teams(muslimcountrybhumanitarianorganization,sufferterragovernment,towna),
    file('AGT001+1.ax',event_248) ).

fof(event_249,axiom,
    any_agent_in_all_proposed_teams(muslimcountrybhumanitarianorganization,sufferterragovernment,towna),
    file('AGT001+1.ax',event_249) ).

fof(query_16,conjecture,
    ? [X,Y] : ~ accept_population(muslimcountrybhumanitarianorganization,X,Y),
    file('theBenchmark.p',query_16) ).

fof(f_5_1,plain,
    ! [A,L,C] :
      ( accept_leader(A,L)
      | ~ any_agent_in_all_proposed_teams(A,L,C) ),
    inference(fof_nnf,[status(thm)],[a1_5]) ).

fof(f_5_2,plain,
    ! [U_24,U_23,U_22] :
      ( accept_leader(U_24,U_23)
      | ~ any_agent_in_all_proposed_teams(U_24,U_23,U_22) ),
    inference(variable_rename,[status(thm)],[f_5_1]) ).

fof(f_5_3,plain,
    ! [U_24,U_23] :
      ( ! [U_22] : ~ any_agent_in_all_proposed_teams(U_24,U_23,U_22)
      | accept_leader(U_24,U_23) ),
    inference(miniscope,[status(thm)],[f_5_2]) ).

cnf(f_5_4,plain,
    ( ~ any_agent_in_all_proposed_teams(U_24,U_23,U_22)
    | accept_leader(U_24,U_23) ),
    inference(clausify,[status(thm)],[f_5_3]) ).

fof(f_6_1,plain,
    ! [A,L,C] :
      ( ~ accept_leader(A,L)
      | ~ accept_city(A,C)
      | ~ the_agent_not_in_any_proposed_teams(A,L,C) ),
    inference(fof_nnf,[status(thm)],[a1_6]) ).

fof(f_6_2,plain,
    ! [U_27,U_26,U_25] :
      ( ~ accept_leader(U_27,U_26)
      | ~ accept_city(U_27,U_25)
      | ~ the_agent_not_in_any_proposed_teams(U_27,U_26,U_25) ),
    inference(variable_rename,[status(thm)],[f_6_1]) ).

cnf(f_6_3,plain,
    ( ~ accept_leader(U_27,U_26)
    | ~ accept_city(U_27,U_25)
    | ~ the_agent_not_in_any_proposed_teams(U_27,U_26,U_25) ),
    inference(clausify,[status(thm)],[f_6_2]) ).

fof(f_16_1,plain,
    ! [A] :
      ( ( ( accept_population(A,other,n0)
          & accept_population(A,native,n0)
          & accept_population(A,muslim,n1)
          & accept_population(A,christian,n24)
          & accept_population(A,atheist,n75) )
        | ~ accept_city(A,towna) )
      & ( accept_city(A,towna)
        | ~ accept_population(A,other,n0)
        | ~ accept_population(A,native,n0)
        | ~ accept_population(A,muslim,n1)
        | ~ accept_population(A,christian,n24)
        | ~ accept_population(A,atheist,n75) ) ),
    inference(fof_nnf,[status(thm)],[a2_9]) ).

fof(f_16_2,plain,
    ! [U_54] :
      ( ( ( accept_population(U_54,other,n0)
          & accept_population(U_54,native,n0)
          & accept_population(U_54,muslim,n1)
          & accept_population(U_54,christian,n24)
          & accept_population(U_54,atheist,n75) )
        | ~ accept_city(U_54,towna) )
      & ( accept_city(U_54,towna)
        | ~ accept_population(U_54,other,n0)
        | ~ accept_population(U_54,native,n0)
        | ~ accept_population(U_54,muslim,n1)
        | ~ accept_population(U_54,christian,n24)
        | ~ accept_population(U_54,atheist,n75) ) ),
    inference(variable_rename,[status(thm)],[f_16_1]) ).

fof(f_16_3,plain,
    ( ! [U_56] :
        ( ( accept_population(U_56,other,n0)
          & accept_population(U_56,native,n0)
          & accept_population(U_56,muslim,n1)
          & accept_population(U_56,christian,n24)
          & accept_population(U_56,atheist,n75) )
        | ~ accept_city(U_56,towna) )
    & ! [U_55] :
        ( accept_city(U_55,towna)
        | ~ accept_population(U_55,other,n0)
        | ~ accept_population(U_55,native,n0)
        | ~ accept_population(U_55,muslim,n1)
        | ~ accept_population(U_55,christian,n24)
        | ~ accept_population(U_55,atheist,n75) ) ),
    inference(miniscope,[status(thm)],[f_16_2]) ).

cnf(f_16_4,plain,
    ( accept_city(U_55,towna)
    | ~ accept_population(U_55,other,n0)
    | ~ accept_population(U_55,native,n0)
    | ~ accept_population(U_55,muslim,n1)
    | ~ accept_population(U_55,christian,n24)
    | ~ accept_population(U_55,atheist,n75) ),
    inference(clausify,[status(thm)],[f_16_3]) ).

fof(f_268_1,plain,
    the_agent_not_in_any_proposed_teams(muslimcountrybhumanitarianorganization,sufferterragovernment,towna),
    inference(fof_nnf,[status(thm)],[event_248]) ).

cnf(f_268_2,plain,
    the_agent_not_in_any_proposed_teams(muslimcountrybhumanitarianorganization,sufferterragovernment,towna),
    inference(clausify,[status(thm)],[f_268_1]) ).

fof(f_269_1,plain,
    any_agent_in_all_proposed_teams(muslimcountrybhumanitarianorganization,sufferterragovernment,towna),
    inference(fof_nnf,[status(thm)],[event_249]) ).

cnf(f_269_2,plain,
    any_agent_in_all_proposed_teams(muslimcountrybhumanitarianorganization,sufferterragovernment,towna),
    inference(clausify,[status(thm)],[f_269_1]) ).

fof(f_556_1,negated_conjecture,
    ~ ? [X,Y] : ~ accept_population(muslimcountrybhumanitarianorganization,X,Y),
    inference(negate,[status(cth)],[query_16]) ).

fof(f_556_2,negated_conjecture,
    ! [X,Y] : accept_population(muslimcountrybhumanitarianorganization,X,Y),
    inference(fof_nnf,[status(thm)],[f_556_1]) ).

fof(f_556_3,negated_conjecture,
    ! [U_113,U_112] : accept_population(muslimcountrybhumanitarianorganization,U_113,U_112),
    inference(variable_rename,[status(thm)],[f_556_2]) ).

fof(f_556_4,negated_conjecture,
    ! [U_113,U_112] : accept_population(muslimcountrybhumanitarianorganization,U_113,U_112),
    inference(definitional_conversion,[status(esa)],[f_556_3]) ).

cnf(f_556_5,negated_conjecture,
    accept_population(muslimcountrybhumanitarianorganization,U_113,U_112),
    inference(clausify,[status(thm)],[f_556_4]) ).

cnf(t1,plain,
    ( ~ accept_city(muslimcountrybhumanitarianorganization,towna)
    | ~ accept_leader(muslimcountrybhumanitarianorganization,sufferterragovernment)
    | ~ the_agent_not_in_any_proposed_teams(muslimcountrybhumanitarianorganization,sufferterragovernment,towna) ),
    inference(start,[status(thm),parent(0:0)],[f_6_3]) ).

cnf(t2,plain,
    the_agent_not_in_any_proposed_teams(muslimcountrybhumanitarianorganization,sufferterragovernment,towna),
    inference(extension,[status(thm),parent(t1:1)],[f_268_2]) ).

cnf(t3,plain,
    $false,
    inference(connection,[status(thm),parent(t2:1)],[t2:1,t1:1]) ).

cnf(t4,plain,
    ( ~ any_agent_in_all_proposed_teams(muslimcountrybhumanitarianorganization,sufferterragovernment,towna)
    | accept_leader(muslimcountrybhumanitarianorganization,sufferterragovernment) ),
    inference(extension,[status(thm),parent(t1:2)],[f_5_4]) ).

cnf(t5,plain,
    $false,
    inference(connection,[status(thm),parent(t4:1)],[t4:1,t1:2]) ).

cnf(t6,plain,
    any_agent_in_all_proposed_teams(muslimcountrybhumanitarianorganization,sufferterragovernment,towna),
    inference(extension,[status(thm),parent(t4:2)],[f_269_2]) ).

cnf(t7,plain,
    $false,
    inference(connection,[status(thm),parent(t6:1)],[t6:1,t4:2]) ).

cnf(t8,plain,
    ( ~ accept_population(muslimcountrybhumanitarianorganization,christian,n24)
    | ~ accept_population(muslimcountrybhumanitarianorganization,muslim,n1)
    | ~ accept_population(muslimcountrybhumanitarianorganization,native,n0)
    | ~ accept_population(muslimcountrybhumanitarianorganization,other,n0)
    | ~ accept_population(muslimcountrybhumanitarianorganization,atheist,n75)
    | accept_city(muslimcountrybhumanitarianorganization,towna) ),
    inference(extension,[status(thm),parent(t1:3)],[f_16_4]) ).

cnf(t9,plain,
    $false,
    inference(connection,[status(thm),parent(t8:1)],[t8:1,t1:3]) ).

cnf(t10,plain,
    accept_population(muslimcountrybhumanitarianorganization,atheist,n75),
    inference(extension,[status(thm),parent(t8:2)],[f_556_5]) ).

cnf(t11,plain,
    $false,
    inference(connection,[status(thm),parent(t10:1)],[t10:1,t8:2]) ).

cnf(t12,plain,
    accept_population(muslimcountrybhumanitarianorganization,other,n0),
    inference(extension,[status(thm),parent(t8:3)],[f_556_5]) ).

cnf(t13,plain,
    $false,
    inference(connection,[status(thm),parent(t12:1)],[t12:1,t8:3]) ).

cnf(t14,plain,
    accept_population(muslimcountrybhumanitarianorganization,native,n0),
    inference(extension,[status(thm),parent(t8:4)],[f_556_5]) ).

cnf(t15,plain,
    $false,
    inference(connection,[status(thm),parent(t14:1)],[t14:1,t8:4]) ).

cnf(t16,plain,
    accept_population(muslimcountrybhumanitarianorganization,muslim,n1),
    inference(extension,[status(thm),parent(t8:5)],[f_556_5]) ).

cnf(t17,plain,
    $false,
    inference(connection,[status(thm),parent(t16:1)],[t16:1,t8:5]) ).

cnf(t18,plain,
    accept_population(muslimcountrybhumanitarianorganization,christian,n24),
    inference(extension,[status(thm),parent(t8:6)],[f_556_5]) ).

cnf(t19,plain,
    $false,
    inference(connection,[status(thm),parent(t18:1)],[t18:1,t8:6]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : AGT016+1 : TPTP v9.3.1. Bugfixed v3.1.0.
% 0.00/0.03  This is a FOF_THM_RFO_SEQ problem
% 0.00/0.04  % Command  : /export/starexec/sandbox2/solver/bin/connect++ --verbosity 1 --no-colour --tptp-proof --schedule default --timeout 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.36  % Computer : n015.cluster.edu
% 0.08/0.36  % Model    : x86_64 x86_64
% 0.08/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.36  % Memory   : 8046.5625MB
% 0.08/0.36  % OS       : Linux 6.8.0-71-generic
% 0.08/0.36  % CPULimit : 300
% 0.08/0.36  % WCLimit  : 300
% 0.08/0.36  % DateTime : Sun Sep 20 08:37:06 UTC 2026
% 0.08/0.36  % CPUTime  : 
% 0.39/0.66  % SZS status Theorem for theBenchmark
% 0.39/0.66  % SZS output start Proof for theBenchmark
% See solution above
%------------------------------------------------------------------------------