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Z3---4.15.1.THM-Prf.s

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%------------------------------------------------------------------------------
% File     : Z3---4.15.1
% Problem  : AGT003+1 : TPTP v9.0.0. Bugfixed v3.1.0.
% Transfm  : none
% Format   : tptp
% Command  : run_E %s %d THM

% Computer : n014.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 : Sat Jun 21 04:57:38 AM UTC 2025

% Result   : Theorem 0.50s 0.69s
% Output   : Proof 0.50s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :   25
% Syntax   : Number of formulae    :   53 (  15 unt;   0 typ;   0 def)
%            Number of atoms       :  284 (   0 equ)
%            Maximal formula atoms :    8 (   5 avg)
%            Number of connectives :  422 ( 204   ~; 124   |;  30   &)
%                                         (  64 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   12 (   6 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of FOOLs       :   13 (  13 fml;   0 var)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of predicates  :    9 (   8 usr;   1 prp; 0-4 aty)
%            Number of functors    :    8 (   8 usr;   8 con; 0-0 aty)
%            Number of variables   :   84 (  72   !;   0   ?;  84   :)

% Comments : 
%------------------------------------------------------------------------------
tff(accept_number_type,type,
    accept_number: ( $i * $i ) > $o ).

tff(n5_type,type,
    n5: $i ).

tff(christiansufferterrahumanitarianorganization_type,type,
    christiansufferterrahumanitarianorganization: $i ).

tff(accept_leader_type,type,
    accept_leader: ( $i * $i ) > $o ).

tff(countryafirstaidorganization_type,type,
    countryafirstaidorganization: $i ).

tff(accept_city_type,type,
    accept_city: ( $i * $i ) > $o ).

tff(towna_type,type,
    towna: $i ).

tff(accept_team_type,type,
    accept_team: ( $i * $i * $i * $i ) > $o ).

tff(n6_type,type,
    n6: $i ).

tff(coastvillage_type,type,
    coastvillage: $i ).

tff(countryacivilorganization_type,type,
    countryacivilorganization: $i ).

tff(countryahumanitarianorganization_type,type,
    countryahumanitarianorganization: $i ).

tff(1,plain,
    ^ [A: $i,C: $i,N: $i,L: $i] :
      refl(( ~ ( ( ~ accept_city(A,C)
              | ~ accept_leader(A,L)
              | ~ accept_number(A,N) )
          <=> accept_team(A,L,C,N) )
      <=> ~ ( ( ~ accept_city(A,C)
              | ~ accept_leader(A,L)
              | ~ accept_number(A,N) )
          <=> accept_team(A,L,C,N) ) )),
    inference(bind,[status(th)],[]) ).

tff(2,plain,
    ( ! [A: $i,C: $i,N: $i,L: $i] :
        ~ ( ( ~ accept_city(A,C)
            | ~ accept_leader(A,L)
            | ~ accept_number(A,N) )
        <=> accept_team(A,L,C,N) )
  <=> ! [A: $i,C: $i,N: $i,L: $i] :
        ~ ( ( ~ accept_city(A,C)
            | ~ accept_leader(A,L)
            | ~ accept_number(A,N) )
        <=> accept_team(A,L,C,N) ) ),
    inference(quant_intro,[status(thm)],[1]) ).

tff(3,plain,
    ^ [A: $i,C: $i,N: $i,L: $i] :
      trans(trans(monotonicity(rewrite(( ( accept_city(A,C)
                & accept_leader(A,L)
                & accept_number(A,N) )
            <=> ~ ( ~ accept_city(A,C)
                  | ~ accept_leader(A,L)
                  | ~ accept_number(A,N) ) )),
            ( ( accept_team(A,L,C,N)
            <=> ( accept_city(A,C)
                & accept_leader(A,L)
                & accept_number(A,N) ) )
          <=> ( accept_team(A,L,C,N)
            <=> ~ ( ~ accept_city(A,C)
                  | ~ accept_leader(A,L)
                  | ~ accept_number(A,N) ) ) )),
          rewrite(( ( accept_team(A,L,C,N)
            <=> ~ ( ~ accept_city(A,C)
                  | ~ accept_leader(A,L)
                  | ~ accept_number(A,N) ) )
          <=> ~ ( ( ~ accept_city(A,C)
                  | ~ accept_leader(A,L)
                  | ~ accept_number(A,N) )
              <=> accept_team(A,L,C,N) ) )),
          ( ( accept_team(A,L,C,N)
          <=> ( accept_city(A,C)
              & accept_leader(A,L)
              & accept_number(A,N) ) )
        <=> ~ ( ( ~ accept_city(A,C)
                | ~ accept_leader(A,L)
                | ~ accept_number(A,N) )
            <=> accept_team(A,L,C,N) ) )),
        rewrite(( ~ ( ( ~ accept_city(A,C)
                | ~ accept_leader(A,L)
                | ~ accept_number(A,N) )
            <=> accept_team(A,L,C,N) )
        <=> ~ ( ( ~ accept_city(A,C)
                | ~ accept_leader(A,L)
                | ~ accept_number(A,N) )
            <=> accept_team(A,L,C,N) ) )),
        ( ( accept_team(A,L,C,N)
        <=> ( accept_city(A,C)
            & accept_leader(A,L)
            & accept_number(A,N) ) )
      <=> ~ ( ( ~ accept_city(A,C)
              | ~ accept_leader(A,L)
              | ~ accept_number(A,N) )
          <=> accept_team(A,L,C,N) ) )),
    inference(bind,[status(th)],[]) ).

tff(4,plain,
    ( ! [A: $i,C: $i,N: $i,L: $i] :
        ( accept_team(A,L,C,N)
      <=> ( accept_city(A,C)
          & accept_leader(A,L)
          & accept_number(A,N) ) )
  <=> ! [A: $i,C: $i,N: $i,L: $i] :
        ~ ( ( ~ accept_city(A,C)
            | ~ accept_leader(A,L)
            | ~ accept_number(A,N) )
        <=> accept_team(A,L,C,N) ) ),
    inference(quant_intro,[status(thm)],[3]) ).

tff(5,plain,
    ( ! [A: $i,C: $i,N: $i,L: $i] :
        ( accept_team(A,L,C,N)
      <=> ( accept_city(A,C)
          & accept_leader(A,L)
          & accept_number(A,N) ) )
  <=> ! [A: $i,C: $i,N: $i,L: $i] :
        ( accept_team(A,L,C,N)
      <=> ( accept_city(A,C)
          & accept_leader(A,L)
          & accept_number(A,N) ) ) ),
    inference(rewrite,[status(thm)],[]) ).

tff(6,plain,
    ^ [A: $i,C: $i,N: $i,L: $i] :
      rewrite(( ( accept_team(A,L,C,N)
        <=> ( accept_city(A,C)
            & accept_leader(A,L)
            & accept_number(A,N) ) )
      <=> ( accept_team(A,L,C,N)
        <=> ( accept_city(A,C)
            & accept_leader(A,L)
            & accept_number(A,N) ) ) )),
    inference(bind,[status(th)],[]) ).

tff(7,plain,
    ( ! [A: $i,C: $i,N: $i,L: $i] :
        ( accept_team(A,L,C,N)
      <=> ( accept_city(A,C)
          & accept_leader(A,L)
          & accept_number(A,N) ) )
  <=> ! [A: $i,C: $i,N: $i,L: $i] :
        ( accept_team(A,L,C,N)
      <=> ( accept_city(A,C)
          & accept_leader(A,L)
          & accept_number(A,N) ) ) ),
    inference(quant_intro,[status(thm)],[6]) ).

tff(8,axiom,
    ! [A: $i,C: $i,N: $i,L: $i] :
      ( accept_team(A,L,C,N)
    <=> ( accept_city(A,C)
        & accept_leader(A,L)
        & accept_number(A,N) ) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/AGT001+0.ax',a1_1) ).

tff(9,plain,
    ! [A: $i,C: $i,N: $i,L: $i] :
      ( accept_team(A,L,C,N)
    <=> ( accept_city(A,C)
        & accept_leader(A,L)
        & accept_number(A,N) ) ),
    inference(modus_ponens,[status(thm)],[8,7]) ).

tff(10,plain,
    ! [A: $i,C: $i,N: $i,L: $i] :
      ( accept_team(A,L,C,N)
    <=> ( accept_city(A,C)
        & accept_leader(A,L)
        & accept_number(A,N) ) ),
    inference(modus_ponens,[status(thm)],[9,5]) ).

tff(11,plain,
    ! [A: $i,C: $i,N: $i,L: $i] :
      ( accept_team(A,L,C,N)
    <=> ( accept_city(A,C)
        & accept_leader(A,L)
        & accept_number(A,N) ) ),
    inference(skolemize,[status(sab)],[10]) ).

tff(12,plain,
    ! [A: $i,C: $i,N: $i,L: $i] :
      ~ ( ( ~ accept_city(A,C)
          | ~ accept_leader(A,L)
          | ~ accept_number(A,N) )
      <=> accept_team(A,L,C,N) ),
    inference(modus_ponens,[status(thm)],[11,4]) ).

tff(13,plain,
    ! [A: $i,C: $i,N: $i,L: $i] :
      ~ ( ( ~ accept_city(A,C)
          | ~ accept_leader(A,L)
          | ~ accept_number(A,N) )
      <=> accept_team(A,L,C,N) ),
    inference(modus_ponens,[status(thm)],[12,2]) ).

tff(14,plain,
    ( ~ ! [A: $i,C: $i,N: $i,L: $i] :
          ~ ( ( ~ accept_city(A,C)
              | ~ accept_leader(A,L)
              | ~ accept_number(A,N) )
          <=> accept_team(A,L,C,N) )
    | ~ ( ( ~ accept_city(christiansufferterrahumanitarianorganization,towna)
          | ~ accept_leader(christiansufferterrahumanitarianorganization,countryafirstaidorganization)
          | ~ accept_number(christiansufferterrahumanitarianorganization,n5) )
      <=> accept_team(christiansufferterrahumanitarianorganization,countryafirstaidorganization,towna,n5) ) ),
    inference(quant_inst,[status(thm)],[]) ).

tff(15,plain,
    ~ ( ( ~ accept_city(christiansufferterrahumanitarianorganization,towna)
        | ~ accept_leader(christiansufferterrahumanitarianorganization,countryafirstaidorganization)
        | ~ accept_number(christiansufferterrahumanitarianorganization,n5) )
    <=> accept_team(christiansufferterrahumanitarianorganization,countryafirstaidorganization,towna,n5) ),
    inference(unit_resolution,[status(thm)],[14,13]) ).

tff(16,plain,
    ( ~ accept_team(christiansufferterrahumanitarianorganization,countryafirstaidorganization,towna,n5)
  <=> ~ accept_team(christiansufferterrahumanitarianorganization,countryafirstaidorganization,towna,n5) ),
    inference(rewrite,[status(thm)],[]) ).

tff(17,axiom,
    ~ accept_team(christiansufferterrahumanitarianorganization,countryafirstaidorganization,towna,n5),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',query_3) ).

tff(18,plain,
    ~ accept_team(christiansufferterrahumanitarianorganization,countryafirstaidorganization,towna,n5),
    inference(modus_ponens,[status(thm)],[17,16]) ).

tff(19,plain,
    ( ( ( ~ accept_city(christiansufferterrahumanitarianorganization,towna)
        | ~ accept_leader(christiansufferterrahumanitarianorganization,countryafirstaidorganization)
        | ~ accept_number(christiansufferterrahumanitarianorganization,n5) )
    <=> accept_team(christiansufferterrahumanitarianorganization,countryafirstaidorganization,towna,n5) )
    | ~ accept_city(christiansufferterrahumanitarianorganization,towna)
    | ~ accept_leader(christiansufferterrahumanitarianorganization,countryafirstaidorganization)
    | ~ accept_number(christiansufferterrahumanitarianorganization,n5)
    | accept_team(christiansufferterrahumanitarianorganization,countryafirstaidorganization,towna,n5) ),
    inference(tautology,[status(thm)],[]) ).

tff(20,plain,
    ( ( ( ~ accept_city(christiansufferterrahumanitarianorganization,towna)
        | ~ accept_leader(christiansufferterrahumanitarianorganization,countryafirstaidorganization)
        | ~ accept_number(christiansufferterrahumanitarianorganization,n5) )
    <=> accept_team(christiansufferterrahumanitarianorganization,countryafirstaidorganization,towna,n5) )
    | ~ accept_city(christiansufferterrahumanitarianorganization,towna)
    | ~ accept_leader(christiansufferterrahumanitarianorganization,countryafirstaidorganization)
    | ~ accept_number(christiansufferterrahumanitarianorganization,n5) ),
    inference(unit_resolution,[status(thm)],[19,18]) ).

tff(21,plain,
    ( ~ accept_city(christiansufferterrahumanitarianorganization,towna)
    | ~ accept_leader(christiansufferterrahumanitarianorganization,countryafirstaidorganization)
    | ~ accept_number(christiansufferterrahumanitarianorganization,n5) ),
    inference(unit_resolution,[status(thm)],[20,15]) ).

tff(22,plain,
    ( ~ ! [A: $i,C: $i,N: $i,L: $i] :
          ~ ( ( ~ accept_city(A,C)
              | ~ accept_leader(A,L)
              | ~ accept_number(A,N) )
          <=> accept_team(A,L,C,N) )
    | ~ ( ( ~ accept_city(christiansufferterrahumanitarianorganization,coastvillage)
          | ~ accept_leader(christiansufferterrahumanitarianorganization,countryafirstaidorganization)
          | ~ accept_number(christiansufferterrahumanitarianorganization,n6) )
      <=> accept_team(christiansufferterrahumanitarianorganization,countryafirstaidorganization,coastvillage,n6) ) ),
    inference(quant_inst,[status(thm)],[]) ).

tff(23,plain,
    ~ ( ( ~ accept_city(christiansufferterrahumanitarianorganization,coastvillage)
        | ~ accept_leader(christiansufferterrahumanitarianorganization,countryafirstaidorganization)
        | ~ accept_number(christiansufferterrahumanitarianorganization,n6) )
    <=> accept_team(christiansufferterrahumanitarianorganization,countryafirstaidorganization,coastvillage,n6) ),
    inference(unit_resolution,[status(thm)],[22,13]) ).

tff(24,plain,
    ( accept_team(christiansufferterrahumanitarianorganization,countryafirstaidorganization,coastvillage,n6)
  <=> accept_team(christiansufferterrahumanitarianorganization,countryafirstaidorganization,coastvillage,n6) ),
    inference(rewrite,[status(thm)],[]) ).

tff(25,axiom,
    accept_team(christiansufferterrahumanitarianorganization,countryafirstaidorganization,coastvillage,n6),
    file('/export/starexec/sandbox2/benchmark/Axioms/AGT001+1.ax',event_93) ).

tff(26,plain,
    accept_team(christiansufferterrahumanitarianorganization,countryafirstaidorganization,coastvillage,n6),
    inference(modus_ponens,[status(thm)],[25,24]) ).

tff(27,plain,
    ( ( ( ~ accept_city(christiansufferterrahumanitarianorganization,coastvillage)
        | ~ accept_leader(christiansufferterrahumanitarianorganization,countryafirstaidorganization)
        | ~ accept_number(christiansufferterrahumanitarianorganization,n6) )
    <=> accept_team(christiansufferterrahumanitarianorganization,countryafirstaidorganization,coastvillage,n6) )
    | ~ ( ~ accept_city(christiansufferterrahumanitarianorganization,coastvillage)
        | ~ accept_leader(christiansufferterrahumanitarianorganization,countryafirstaidorganization)
        | ~ accept_number(christiansufferterrahumanitarianorganization,n6) )
    | ~ accept_team(christiansufferterrahumanitarianorganization,countryafirstaidorganization,coastvillage,n6) ),
    inference(tautology,[status(thm)],[]) ).

tff(28,plain,
    ( ( ( ~ accept_city(christiansufferterrahumanitarianorganization,coastvillage)
        | ~ accept_leader(christiansufferterrahumanitarianorganization,countryafirstaidorganization)
        | ~ accept_number(christiansufferterrahumanitarianorganization,n6) )
    <=> accept_team(christiansufferterrahumanitarianorganization,countryafirstaidorganization,coastvillage,n6) )
    | ~ ( ~ accept_city(christiansufferterrahumanitarianorganization,coastvillage)
        | ~ accept_leader(christiansufferterrahumanitarianorganization,countryafirstaidorganization)
        | ~ accept_number(christiansufferterrahumanitarianorganization,n6) ) ),
    inference(unit_resolution,[status(thm)],[27,26]) ).

tff(29,plain,
    ~ ( ~ accept_city(christiansufferterrahumanitarianorganization,coastvillage)
      | ~ accept_leader(christiansufferterrahumanitarianorganization,countryafirstaidorganization)
      | ~ accept_number(christiansufferterrahumanitarianorganization,n6) ),
    inference(unit_resolution,[status(thm)],[28,23]) ).

tff(30,plain,
    ( ~ accept_city(christiansufferterrahumanitarianorganization,coastvillage)
    | ~ accept_leader(christiansufferterrahumanitarianorganization,countryafirstaidorganization)
    | ~ accept_number(christiansufferterrahumanitarianorganization,n6)
    | accept_leader(christiansufferterrahumanitarianorganization,countryafirstaidorganization) ),
    inference(tautology,[status(thm)],[]) ).

tff(31,plain,
    accept_leader(christiansufferterrahumanitarianorganization,countryafirstaidorganization),
    inference(unit_resolution,[status(thm)],[30,29]) ).

tff(32,plain,
    ( ~ ! [A: $i,C: $i,N: $i,L: $i] :
          ~ ( ( ~ accept_city(A,C)
              | ~ accept_leader(A,L)
              | ~ accept_number(A,N) )
          <=> accept_team(A,L,C,N) )
    | ~ ( ( ~ accept_city(christiansufferterrahumanitarianorganization,towna)
          | ~ accept_leader(christiansufferterrahumanitarianorganization,countryacivilorganization)
          | ~ accept_number(christiansufferterrahumanitarianorganization,n6) )
      <=> accept_team(christiansufferterrahumanitarianorganization,countryacivilorganization,towna,n6) ) ),
    inference(quant_inst,[status(thm)],[]) ).

tff(33,plain,
    ~ ( ( ~ accept_city(christiansufferterrahumanitarianorganization,towna)
        | ~ accept_leader(christiansufferterrahumanitarianorganization,countryacivilorganization)
        | ~ accept_number(christiansufferterrahumanitarianorganization,n6) )
    <=> accept_team(christiansufferterrahumanitarianorganization,countryacivilorganization,towna,n6) ),
    inference(unit_resolution,[status(thm)],[32,13]) ).

tff(34,plain,
    ( accept_team(christiansufferterrahumanitarianorganization,countryacivilorganization,towna,n6)
  <=> accept_team(christiansufferterrahumanitarianorganization,countryacivilorganization,towna,n6) ),
    inference(rewrite,[status(thm)],[]) ).

tff(35,axiom,
    accept_team(christiansufferterrahumanitarianorganization,countryacivilorganization,towna,n6),
    file('/export/starexec/sandbox2/benchmark/Axioms/AGT001+1.ax',event_26) ).

tff(36,plain,
    accept_team(christiansufferterrahumanitarianorganization,countryacivilorganization,towna,n6),
    inference(modus_ponens,[status(thm)],[35,34]) ).

tff(37,plain,
    ( ( ( ~ accept_city(christiansufferterrahumanitarianorganization,towna)
        | ~ accept_leader(christiansufferterrahumanitarianorganization,countryacivilorganization)
        | ~ accept_number(christiansufferterrahumanitarianorganization,n6) )
    <=> accept_team(christiansufferterrahumanitarianorganization,countryacivilorganization,towna,n6) )
    | ~ ( ~ accept_city(christiansufferterrahumanitarianorganization,towna)
        | ~ accept_leader(christiansufferterrahumanitarianorganization,countryacivilorganization)
        | ~ accept_number(christiansufferterrahumanitarianorganization,n6) )
    | ~ accept_team(christiansufferterrahumanitarianorganization,countryacivilorganization,towna,n6) ),
    inference(tautology,[status(thm)],[]) ).

tff(38,plain,
    ( ( ( ~ accept_city(christiansufferterrahumanitarianorganization,towna)
        | ~ accept_leader(christiansufferterrahumanitarianorganization,countryacivilorganization)
        | ~ accept_number(christiansufferterrahumanitarianorganization,n6) )
    <=> accept_team(christiansufferterrahumanitarianorganization,countryacivilorganization,towna,n6) )
    | ~ ( ~ accept_city(christiansufferterrahumanitarianorganization,towna)
        | ~ accept_leader(christiansufferterrahumanitarianorganization,countryacivilorganization)
        | ~ accept_number(christiansufferterrahumanitarianorganization,n6) ) ),
    inference(unit_resolution,[status(thm)],[37,36]) ).

tff(39,plain,
    ~ ( ~ accept_city(christiansufferterrahumanitarianorganization,towna)
      | ~ accept_leader(christiansufferterrahumanitarianorganization,countryacivilorganization)
      | ~ accept_number(christiansufferterrahumanitarianorganization,n6) ),
    inference(unit_resolution,[status(thm)],[38,33]) ).

tff(40,plain,
    ( ~ accept_city(christiansufferterrahumanitarianorganization,towna)
    | ~ accept_leader(christiansufferterrahumanitarianorganization,countryacivilorganization)
    | ~ accept_number(christiansufferterrahumanitarianorganization,n6)
    | accept_city(christiansufferterrahumanitarianorganization,towna) ),
    inference(tautology,[status(thm)],[]) ).

tff(41,plain,
    accept_city(christiansufferterrahumanitarianorganization,towna),
    inference(unit_resolution,[status(thm)],[40,39]) ).

tff(42,plain,
    ( ~ ! [A: $i,C: $i,N: $i,L: $i] :
          ~ ( ( ~ accept_city(A,C)
              | ~ accept_leader(A,L)
              | ~ accept_number(A,N) )
          <=> accept_team(A,L,C,N) )
    | ~ ( ( ~ accept_city(christiansufferterrahumanitarianorganization,coastvillage)
          | ~ accept_leader(christiansufferterrahumanitarianorganization,countryahumanitarianorganization)
          | ~ accept_number(christiansufferterrahumanitarianorganization,n5) )
      <=> accept_team(christiansufferterrahumanitarianorganization,countryahumanitarianorganization,coastvillage,n5) ) ),
    inference(quant_inst,[status(thm)],[]) ).

tff(43,plain,
    ~ ( ( ~ accept_city(christiansufferterrahumanitarianorganization,coastvillage)
        | ~ accept_leader(christiansufferterrahumanitarianorganization,countryahumanitarianorganization)
        | ~ accept_number(christiansufferterrahumanitarianorganization,n5) )
    <=> accept_team(christiansufferterrahumanitarianorganization,countryahumanitarianorganization,coastvillage,n5) ),
    inference(unit_resolution,[status(thm)],[42,13]) ).

tff(44,plain,
    ( accept_team(christiansufferterrahumanitarianorganization,countryahumanitarianorganization,coastvillage,n5)
  <=> accept_team(christiansufferterrahumanitarianorganization,countryahumanitarianorganization,coastvillage,n5) ),
    inference(rewrite,[status(thm)],[]) ).

tff(45,axiom,
    accept_team(christiansufferterrahumanitarianorganization,countryahumanitarianorganization,coastvillage,n5),
    file('/export/starexec/sandbox2/benchmark/Axioms/AGT001+1.ax',event_90) ).

tff(46,plain,
    accept_team(christiansufferterrahumanitarianorganization,countryahumanitarianorganization,coastvillage,n5),
    inference(modus_ponens,[status(thm)],[45,44]) ).

tff(47,plain,
    ( ( ( ~ accept_city(christiansufferterrahumanitarianorganization,coastvillage)
        | ~ accept_leader(christiansufferterrahumanitarianorganization,countryahumanitarianorganization)
        | ~ accept_number(christiansufferterrahumanitarianorganization,n5) )
    <=> accept_team(christiansufferterrahumanitarianorganization,countryahumanitarianorganization,coastvillage,n5) )
    | ~ ( ~ accept_city(christiansufferterrahumanitarianorganization,coastvillage)
        | ~ accept_leader(christiansufferterrahumanitarianorganization,countryahumanitarianorganization)
        | ~ accept_number(christiansufferterrahumanitarianorganization,n5) )
    | ~ accept_team(christiansufferterrahumanitarianorganization,countryahumanitarianorganization,coastvillage,n5) ),
    inference(tautology,[status(thm)],[]) ).

tff(48,plain,
    ( ( ( ~ accept_city(christiansufferterrahumanitarianorganization,coastvillage)
        | ~ accept_leader(christiansufferterrahumanitarianorganization,countryahumanitarianorganization)
        | ~ accept_number(christiansufferterrahumanitarianorganization,n5) )
    <=> accept_team(christiansufferterrahumanitarianorganization,countryahumanitarianorganization,coastvillage,n5) )
    | ~ ( ~ accept_city(christiansufferterrahumanitarianorganization,coastvillage)
        | ~ accept_leader(christiansufferterrahumanitarianorganization,countryahumanitarianorganization)
        | ~ accept_number(christiansufferterrahumanitarianorganization,n5) ) ),
    inference(unit_resolution,[status(thm)],[47,46]) ).

tff(49,plain,
    ~ ( ~ accept_city(christiansufferterrahumanitarianorganization,coastvillage)
      | ~ accept_leader(christiansufferterrahumanitarianorganization,countryahumanitarianorganization)
      | ~ accept_number(christiansufferterrahumanitarianorganization,n5) ),
    inference(unit_resolution,[status(thm)],[48,43]) ).

tff(50,plain,
    ( ~ accept_city(christiansufferterrahumanitarianorganization,coastvillage)
    | ~ accept_leader(christiansufferterrahumanitarianorganization,countryahumanitarianorganization)
    | ~ accept_number(christiansufferterrahumanitarianorganization,n5)
    | accept_number(christiansufferterrahumanitarianorganization,n5) ),
    inference(tautology,[status(thm)],[]) ).

tff(51,plain,
    accept_number(christiansufferterrahumanitarianorganization,n5),
    inference(unit_resolution,[status(thm)],[50,49]) ).

tff(52,plain,
    ( ~ ( ~ accept_city(christiansufferterrahumanitarianorganization,towna)
        | ~ accept_leader(christiansufferterrahumanitarianorganization,countryafirstaidorganization)
        | ~ accept_number(christiansufferterrahumanitarianorganization,n5) )
    | ~ accept_city(christiansufferterrahumanitarianorganization,towna)
    | ~ accept_leader(christiansufferterrahumanitarianorganization,countryafirstaidorganization)
    | ~ accept_number(christiansufferterrahumanitarianorganization,n5) ),
    inference(tautology,[status(thm)],[]) ).

tff(53,plain,
    $false,
    inference(unit_resolution,[status(thm)],[52,51,41,31,21]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : AGT003+1 : TPTP v9.0.0. Bugfixed v3.1.0.
% 0.03/0.12  % Command    : run_E %s %d THM
% 0.12/0.33  % Computer : n014.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit   : 300
% 0.12/0.33  % WCLimit    : 300
% 0.12/0.33  % DateTime   : Thu Jun 19 10:45:39 EDT 2025
% 0.12/0.33  % CPUTime    : 
% 0.50/0.69  % SZS status Theorem
% 0.50/0.69  % SZS output start Proof
% See solution above
% 0.50/0.71  % E exiting
%------------------------------------------------------------------------------