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Zipperpin---2.1.9999.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : AGT016+1 : TPTP v9.2.0. Bugfixed v3.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.GunmbDd3yZ true

% Computer : n018.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 : Thu Oct  2 04:27:12 PM UTC 2025

% Result   : Theorem 1.39s 0.98s
% Output   : Refutation 1.39s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   36 (  16 unt;   0 typ;   0 def)
%            Number of atoms       :  110 (   2 equ;   6 cnn)
%            Maximal formula atoms :    7 (   3 avg)
%            Number of connectives :  316 (  22   ~;   5   |;  30   &; 230   @)
%                                         (   3 <=>;  10  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   12 (   7 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   23 (  17 usr;  17 con; 0-3 aty)
%                                         (  13  !!;   3  ??;   0 @@+;   0 @@-)
%            Number of variables   :   61 (  16   ^;  41   !;   4   ?;  61   :)

% Comments : 
%------------------------------------------------------------------------------
thf(n0_type,type,
    n0: $i ).

thf(accept_population_type,type,
    accept_population: $i > $i > $i > $o ).

thf(n24_type,type,
    n24: $i ).

thf(other_type,type,
    other: $i ).

thf(the_agent_not_in_any_proposed_teams_type,type,
    the_agent_not_in_any_proposed_teams: $i > $i > $i > $o ).

thf(any_agent_in_all_proposed_teams_type,type,
    any_agent_in_all_proposed_teams: $i > $i > $i > $o ).

thf(atheist_type,type,
    atheist: $i ).

thf(native_type,type,
    native: $i ).

thf(n75_type,type,
    n75: $i ).

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

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

thf(muslim_type,type,
    muslim: $i ).

thf(n1_type,type,
    n1: $i ).

thf(christian_type,type,
    christian: $i ).

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

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

thf(muslimcountrybhumanitarianorganization_type,type,
    muslimcountrybhumanitarianorganization: $i ).

thf(query_16,conjecture,
    ? [X: $i,Y: $i] :
      ~ ( accept_population @ muslimcountrybhumanitarianorganization @ X @ Y ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ? [X: $i,Y: $i] :
        ~ ( accept_population @ muslimcountrybhumanitarianorganization @ X @ Y ),
    inference('cnf.neg',[status(esa)],[query_16]) ).

thf(zip_derived_cl555,plain,
    ~ ( ??
      @ ^ [Y0: $i] :
          ( ??
          @ ^ [Y1: $i] : ( (~) @ ( accept_population @ muslimcountrybhumanitarianorganization @ Y0 @ Y1 ) ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl573,plain,
    ! [X2: $i] :
      ~ ( ??
        @ ^ [Y0: $i] : ( (~) @ ( accept_population @ muslimcountrybhumanitarianorganization @ X2 @ Y0 ) ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl555]) ).

thf(zip_derived_cl574,plain,
    ! [X2: $i,X4: $i] : ( accept_population @ muslimcountrybhumanitarianorganization @ X2 @ X4 ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl573]) ).

thf(a2_9,axiom,
    ! [A: $i] :
      ( ( ( 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 ) ) ).

thf(zip_derived_cl15,plain,
    ( !!
    @ ^ [Y0: $i] :
        ( ( ( accept_population @ Y0 @ other @ n0 )
          & ( accept_population @ Y0 @ native @ n0 )
          & ( accept_population @ Y0 @ muslim @ n1 )
          & ( accept_population @ Y0 @ christian @ n24 )
          & ( accept_population @ Y0 @ atheist @ n75 ) )
      <=> ( accept_city @ Y0 @ towna ) ) ),
    inference(cnf,[status(esa)],[a2_9]) ).

thf(zip_derived_cl793,plain,
    ! [X2: $i] :
      ( ( ( accept_population @ X2 @ other @ n0 )
        & ( accept_population @ X2 @ native @ n0 )
        & ( accept_population @ X2 @ muslim @ n1 )
        & ( accept_population @ X2 @ christian @ n24 )
        & ( accept_population @ X2 @ atheist @ n75 ) )
    <=> ( accept_city @ X2 @ towna ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl15]) ).

thf(zip_derived_cl794,plain,
    ! [X2: $i] :
      ( ( ( accept_population @ X2 @ other @ n0 )
        & ( accept_population @ X2 @ native @ n0 )
        & ( accept_population @ X2 @ muslim @ n1 )
        & ( accept_population @ X2 @ christian @ n24 )
        & ( accept_population @ X2 @ atheist @ n75 ) )
      = ( accept_city @ X2 @ towna ) ),
    inference('simplify nested equalities',[status(thm)],[zip_derived_cl793]) ).

thf(zip_derived_cl795,plain,
    ( ( $true
      & ( accept_population @ muslimcountrybhumanitarianorganization @ native @ n0 )
      & ( accept_population @ muslimcountrybhumanitarianorganization @ muslim @ n1 )
      & ( accept_population @ muslimcountrybhumanitarianorganization @ christian @ n24 )
      & ( accept_population @ muslimcountrybhumanitarianorganization @ atheist @ n75 ) )
    = ( accept_city @ muslimcountrybhumanitarianorganization @ towna ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl574,zip_derived_cl794]) ).

thf(zip_derived_cl574_001,plain,
    ! [X2: $i,X4: $i] : ( accept_population @ muslimcountrybhumanitarianorganization @ X2 @ X4 ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl573]) ).

thf(zip_derived_cl574_002,plain,
    ! [X2: $i,X4: $i] : ( accept_population @ muslimcountrybhumanitarianorganization @ X2 @ X4 ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl573]) ).

thf(zip_derived_cl574_003,plain,
    ! [X2: $i,X4: $i] : ( accept_population @ muslimcountrybhumanitarianorganization @ X2 @ X4 ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl573]) ).

thf(zip_derived_cl574_004,plain,
    ! [X2: $i,X4: $i] : ( accept_population @ muslimcountrybhumanitarianorganization @ X2 @ X4 ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl573]) ).

thf(event_11,axiom,
    the_agent_not_in_any_proposed_teams @ muslimcountrybhumanitarianorganization @ countryacivilorganization @ towna ).

thf(zip_derived_cl30,plain,
    the_agent_not_in_any_proposed_teams @ muslimcountrybhumanitarianorganization @ countryacivilorganization @ towna,
    inference(cnf,[status(esa)],[event_11]) ).

thf(a1_6,axiom,
    ! [A: $i,L: $i,C: $i] :
      ( ( the_agent_not_in_any_proposed_teams @ A @ L @ C )
     => ~ ( ( accept_leader @ A @ L )
          & ( accept_city @ A @ C ) ) ) ).

thf(zip_derived_cl5,plain,
    ( !!
    @ ^ [Y0: $i] :
        ( !!
        @ ^ [Y1: $i] :
            ( !!
            @ ^ [Y2: $i] :
                ( ( the_agent_not_in_any_proposed_teams @ Y0 @ Y1 @ Y2 )
               => ( (~)
                  @ ( ( accept_leader @ Y0 @ Y1 )
                    & ( accept_city @ Y0 @ Y2 ) ) ) ) ) ) ),
    inference(cnf,[status(esa)],[a1_6]) ).

thf(zip_derived_cl626,plain,
    ! [X2: $i] :
      ( !!
      @ ^ [Y0: $i] :
          ( !!
          @ ^ [Y1: $i] :
              ( ( the_agent_not_in_any_proposed_teams @ X2 @ Y0 @ Y1 )
             => ( (~)
                @ ( ( accept_leader @ X2 @ Y0 )
                  & ( accept_city @ X2 @ Y1 ) ) ) ) ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl5]) ).

thf(zip_derived_cl627,plain,
    ! [X2: $i,X4: $i] :
      ( !!
      @ ^ [Y0: $i] :
          ( ( the_agent_not_in_any_proposed_teams @ X2 @ X4 @ Y0 )
         => ( (~)
            @ ( ( accept_leader @ X2 @ X4 )
              & ( accept_city @ X2 @ Y0 ) ) ) ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl626]) ).

thf(zip_derived_cl628,plain,
    ! [X2: $i,X4: $i,X6: $i] :
      ( ( the_agent_not_in_any_proposed_teams @ X2 @ X4 @ X6 )
     => ( (~)
        @ ( ( accept_leader @ X2 @ X4 )
          & ( accept_city @ X2 @ X6 ) ) ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl627]) ).

thf(zip_derived_cl629,plain,
    ! [X2: $i,X4: $i,X6: $i] :
      ( ~ ( the_agent_not_in_any_proposed_teams @ X2 @ X4 @ X6 )
      | ~ ( ( accept_leader @ X2 @ X4 )
          & ( accept_city @ X2 @ X6 ) ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl628]) ).

thf(zip_derived_cl630,plain,
    ! [X2: $i,X4: $i,X6: $i] :
      ( ~ ( accept_leader @ X2 @ X4 )
      | ~ ( accept_city @ X2 @ X6 )
      | ~ ( the_agent_not_in_any_proposed_teams @ X2 @ X4 @ X6 ) ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl629]) ).

thf(zip_derived_cl692,plain,
    ( ~ ( accept_leader @ muslimcountrybhumanitarianorganization @ countryacivilorganization )
    | ~ ( accept_city @ muslimcountrybhumanitarianorganization @ towna ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl30,zip_derived_cl630]) ).

thf(event_12,axiom,
    any_agent_in_all_proposed_teams @ muslimcountrybhumanitarianorganization @ countryacivilorganization @ towna ).

thf(zip_derived_cl31,plain,
    any_agent_in_all_proposed_teams @ muslimcountrybhumanitarianorganization @ countryacivilorganization @ towna,
    inference(cnf,[status(esa)],[event_12]) ).

thf(a1_5,axiom,
    ! [A: $i,L: $i,C: $i] :
      ( ( any_agent_in_all_proposed_teams @ A @ L @ C )
     => ( accept_leader @ A @ L ) ) ).

thf(zip_derived_cl4,plain,
    ( !!
    @ ^ [Y0: $i] :
        ( !!
        @ ^ [Y1: $i] :
            ( !!
            @ ^ [Y2: $i] :
                ( ( any_agent_in_all_proposed_teams @ Y0 @ Y1 @ Y2 )
               => ( accept_leader @ Y0 @ Y1 ) ) ) ) ),
    inference(cnf,[status(esa)],[a1_5]) ).

thf(zip_derived_cl610,plain,
    ! [X2: $i] :
      ( !!
      @ ^ [Y0: $i] :
          ( !!
          @ ^ [Y1: $i] :
              ( ( any_agent_in_all_proposed_teams @ X2 @ Y0 @ Y1 )
             => ( accept_leader @ X2 @ Y0 ) ) ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl4]) ).

thf(zip_derived_cl611,plain,
    ! [X2: $i,X4: $i] :
      ( !!
      @ ^ [Y0: $i] :
          ( ( any_agent_in_all_proposed_teams @ X2 @ X4 @ Y0 )
         => ( accept_leader @ X2 @ X4 ) ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl610]) ).

thf(zip_derived_cl612,plain,
    ! [X2: $i,X4: $i,X6: $i] :
      ( ( any_agent_in_all_proposed_teams @ X2 @ X4 @ X6 )
     => ( accept_leader @ X2 @ X4 ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl611]) ).

thf(zip_derived_cl613,plain,
    ! [X2: $i,X4: $i,X6: $i] :
      ( ~ ( any_agent_in_all_proposed_teams @ X2 @ X4 @ X6 )
      | ( accept_leader @ X2 @ X4 ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl612]) ).

thf(zip_derived_cl693,plain,
    accept_leader @ muslimcountrybhumanitarianorganization @ countryacivilorganization,
    inference('s_sup-',[status(thm)],[zip_derived_cl31,zip_derived_cl613]) ).

thf(zip_derived_cl694,plain,
    ~ ( accept_city @ muslimcountrybhumanitarianorganization @ towna ),
    inference(demod,[status(thm)],[zip_derived_cl692,zip_derived_cl693]) ).

thf(zip_derived_cl800,plain,
    ~ ( $true
      & $true
      & $true
      & $true
      & $true ),
    inference(demod,[status(thm)],[zip_derived_cl795,zip_derived_cl574,zip_derived_cl574,zip_derived_cl574,zip_derived_cl574,zip_derived_cl694]) ).

thf(zip_derived_cl801,plain,
    $false,
    inference('simplify boolean subterms',[status(thm)],[zip_derived_cl800]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.14  % Problem  : AGT016+1 : TPTP v9.2.0. Bugfixed v3.1.0.
% 0.12/0.15  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.GunmbDd3yZ true
% 0.15/0.36  % Computer : n018.cluster.edu
% 0.15/0.36  % Model    : x86_64 x86_64
% 0.15/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36  % Memory   : 8042.1875MB
% 0.15/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36  % CPULimit : 300
% 0.15/0.36  % WCLimit  : 300
% 0.15/0.36  % DateTime : Wed Oct  1 11:13:08 EDT 2025
% 0.15/0.36  % CPUTime  : 
% 0.15/0.36  % Running portfolio for 300 s
% 0.15/0.36  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.15/0.37  % Number of cores: 8
% 0.15/0.37  % Python version: Python 3.6.8
% 0.15/0.37  % Running in FO mode
% 0.66/0.69  % Total configuration time : 435
% 0.66/0.69  % Estimated wc time : 1092
% 0.66/0.69  % Estimated cpu time (7 cpus) : 156.0
% 0.93/0.78  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.93/0.81  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.93/0.81  % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.93/0.82  % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 1.29/0.82  % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 1.29/0.82  % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 1.29/0.82  % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 1.29/0.87  % /export/starexec/sandbox/solver/bin/fo/fo1_lcnf.sh running for 50s
% 1.31/0.89  % /export/starexec/sandbox/solver/bin/fo/fo17_bce.sh running for 50s
% 1.39/0.98  % Solved by fo/fo1_lcnf.sh.
% 1.39/0.98  % done 170 iterations in 0.099s
% 1.39/0.98  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 1.39/0.98  % SZS output start Refutation
% See solution above
% 1.39/0.98  
% 1.39/0.98  
% 1.39/0.98  % Terminating...
% 1.76/1.10  % Runner terminated.
% 1.76/1.11  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------