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Zipperpin---2.1.9999.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : MGT111+1 : TPTP v9.3.0. Released v9.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.31eRK4scaT true

% Computer : n012.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 : Tue Sep  8 06:25:23 AM UTC 2026

% Result   : Theorem 0.71s 0.56s
% Output   : Refutation 0.71s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :    9
% Syntax   : Number of formulae    :   41 (  11 unt;   0 typ;   0 def)
%            Number of atoms       :  112 (   0 equ;   0 cnn)
%            Maximal formula atoms :   10 (   2 avg)
%            Number of connectives :  460 (  58   ~;  44   |;  23   &; 331   @)
%                                         (   0 <=>;   4  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   20 (  10 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   19 (  18 usr;   4 con; 0-4 aty)
%            Number of variables   :  130 (   0   ^; 120   !;  10   ?; 130   :)

% Comments : 
%------------------------------------------------------------------------------
thf(proh_type,type,
    proh: $i > $o ).

thf(bearer_type,type,
    bearer: $i > $i > $o ).

thf(zip_tseitin_0_type,type,
    zip_tseitin_0: $i > $i > $i > $i > $o ).

thf(portal_type,type,
    portal: $i ).

thf(modify_act_type,type,
    modify_act: $i ).

thf(theater_ds_type,type,
    theater_ds: $i ).

thf(sk__2_type,type,
    sk__2: $i > $i > $i > $i ).

thf(agent_type,type,
    agent: $i > $o ).

thf(action_type,type,
    action: $i > $o ).

thf(permission_type,type,
    permission: $i > $o ).

thf(sk__1_type,type,
    sk__1: $i > $i > $i ).

thf(zip_tseitin_1_type,type,
    zip_tseitin_1: $i > $i > $i > $i > $o ).

thf(cnt_type,type,
    cnt: $i > $i > $i > $o ).

thf(sk__type,type,
    sk_: $i > $i > $i ).

thf(aee_type,type,
    aee: $i > $i > $o ).

thf(activates_type,type,
    activates: $i > $i > $o ).

thf(target_type,type,
    target: $i > $o ).

thf(act_type,type,
    act: $i > $i > $o ).

thf(open_world_closure,axiom,
    ! [X: $i,A: $i,T: $i] :
      ( ( ~ ? [F: $i,E: $i] :
              ( ( proh @ F )
              & ( aee @ F @ X )
              & ( act @ F @ A )
              & ( activates @ E @ F ) )
        & ( target @ T )
        & ( action @ A )
        & ( agent @ X ) )
     => ? [L: $i] :
          ( ( permission @ L )
          & ( bearer @ L @ X )
          & ( cnt @ L @ A @ T ) ) ) ).

thf(zf_stmt_0,axiom,
    ! [L: $i,T: $i,A: $i,X: $i] :
      ( ( zip_tseitin_1 @ L @ T @ A @ X )
     => ( ( cnt @ L @ A @ T )
        & ( bearer @ L @ X )
        & ( permission @ L ) ) ) ).

thf(zip_derived_cl9,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( cnt @ X0 @ X1 @ X2 )
      | ~ ( zip_tseitin_1 @ X0 @ X2 @ X1 @ X3 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl10,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( bearer @ X0 @ X1 )
      | ~ ( zip_tseitin_1 @ X0 @ X2 @ X3 @ X1 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl11,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( permission @ X0 )
      | ~ ( zip_tseitin_1 @ X0 @ X1 @ X2 @ X3 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(conjecture,conjecture,
    ? [L: $i] :
      ( ( cnt @ L @ modify_act @ theater_ds )
      & ( bearer @ L @ portal )
      & ( permission @ L ) ) ).

thf(zf_stmt_1,negated_conjecture,
    ~ ? [L: $i] :
        ( ( cnt @ L @ modify_act @ theater_ds )
        & ( bearer @ L @ portal )
        & ( permission @ L ) ),
    inference('cnf.neg',[status(esa)],[conjecture]) ).

thf(zip_derived_cl13,plain,
    ! [X0: $i] :
      ( ~ ( cnt @ X0 @ modify_act @ theater_ds )
      | ~ ( bearer @ X0 @ portal )
      | ~ ( permission @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl14,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ~ ( zip_tseitin_1 @ X0 @ X3 @ X2 @ X1 )
      | ~ ( bearer @ X0 @ portal )
      | ~ ( cnt @ X0 @ modify_act @ theater_ds ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl11,zip_derived_cl13]) ).

thf(zip_derived_cl15,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
      ( ~ ( zip_tseitin_1 @ X0 @ X5 @ X4 @ portal )
      | ~ ( cnt @ X0 @ modify_act @ theater_ds )
      | ~ ( zip_tseitin_1 @ X0 @ X3 @ X2 @ X1 ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl10,zip_derived_cl14]) ).

thf(zip_derived_cl16,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( ~ ( zip_tseitin_1 @ X3 @ theater_ds @ modify_act @ X6 )
      | ~ ( zip_tseitin_1 @ X3 @ X2 @ X1 @ X0 )
      | ~ ( zip_tseitin_1 @ X3 @ X5 @ X4 @ portal ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl9,zip_derived_cl15]) ).

thf(zip_derived_cl25,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ~ ( zip_tseitin_1 @ X1 @ theater_ds @ modify_act @ X0 )
      | ~ ( zip_tseitin_1 @ X1 @ X3 @ X2 @ portal ) ),
    inference(condensation,[status(thm)],[zip_derived_cl16]) ).

thf(zip_derived_cl27,plain,
    ! [X0: $i] :
      ~ ( zip_tseitin_1 @ X0 @ theater_ds @ modify_act @ portal ),
    inference(eq_fact,[status(thm)],[zip_derived_cl25]) ).

thf(agent_portal,axiom,
    agent @ portal ).

thf(zip_derived_cl0,plain,
    agent @ portal,
    inference(cnf,[status(esa)],[agent_portal]) ).

thf(target_theater,axiom,
    target @ theater_ds ).

thf(zip_derived_cl3,plain,
    target @ theater_ds,
    inference(cnf,[status(esa)],[target_theater]) ).

thf(action_modify,axiom,
    action @ modify_act ).

thf(zip_derived_cl2,plain,
    action @ modify_act,
    inference(cnf,[status(esa)],[action_modify]) ).

thf(zf_stmt_2,type,
    zip_tseitin_1: $i > $i > $i > $i > $o ).

thf(zf_stmt_3,type,
    zip_tseitin_0: $i > $i > $i > $i > $o ).

thf(zf_stmt_4,axiom,
    ! [E: $i,F: $i,A: $i,X: $i] :
      ( ( zip_tseitin_0 @ E @ F @ A @ X )
     => ( ( activates @ E @ F )
        & ( act @ F @ A )
        & ( aee @ F @ X )
        & ( proh @ F ) ) ) ).

thf(zf_stmt_5,axiom,
    ! [X: $i,A: $i,T: $i] :
      ( ( ( agent @ X )
        & ( action @ A )
        & ( target @ T )
        & ~ ? [F: $i,E: $i] : ( zip_tseitin_0 @ E @ F @ A @ X ) )
     => ? [L: $i] : ( zip_tseitin_1 @ L @ T @ A @ X ) ) ).

thf(zip_derived_cl12,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( zip_tseitin_0 @ ( sk__1 @ X0 @ X1 ) @ ( sk_ @ X0 @ X1 ) @ X0 @ X1 )
      | ~ ( action @ X0 )
      | ~ ( agent @ X1 )
      | ~ ( target @ X2 )
      | ( zip_tseitin_1 @ ( sk__2 @ X2 @ X0 @ X1 ) @ X2 @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[zf_stmt_5]) ).

thf(zip_derived_cl17,plain,
    ! [X0: $i,X1: $i] :
      ( ( zip_tseitin_1 @ ( sk__2 @ X1 @ modify_act @ X0 ) @ X1 @ modify_act @ X0 )
      | ~ ( target @ X1 )
      | ~ ( agent @ X0 )
      | ( zip_tseitin_0 @ ( sk__1 @ modify_act @ X0 ) @ ( sk_ @ modify_act @ X0 ) @ modify_act @ X0 ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl2,zip_derived_cl12]) ).

thf(zip_derived_cl18,plain,
    ! [X0: $i] :
      ( ( zip_tseitin_0 @ ( sk__1 @ modify_act @ X0 ) @ ( sk_ @ modify_act @ X0 ) @ modify_act @ X0 )
      | ~ ( agent @ X0 )
      | ( zip_tseitin_1 @ ( sk__2 @ theater_ds @ modify_act @ X0 ) @ theater_ds @ modify_act @ X0 ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl3,zip_derived_cl17]) ).

thf(zip_derived_cl23,plain,
    ( ( zip_tseitin_1 @ ( sk__2 @ theater_ds @ modify_act @ portal ) @ theater_ds @ modify_act @ portal )
    | ( zip_tseitin_0 @ ( sk__1 @ modify_act @ portal ) @ ( sk_ @ modify_act @ portal ) @ modify_act @ portal ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl0,zip_derived_cl18]) ).

thf(zip_derived_cl28,plain,
    zip_tseitin_0 @ ( sk__1 @ modify_act @ portal ) @ ( sk_ @ modify_act @ portal ) @ modify_act @ portal,
    inference('sup+',[status(thm)],[zip_derived_cl27,zip_derived_cl23]) ).

thf(zip_derived_cl5,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( activates @ X0 @ X1 )
      | ~ ( zip_tseitin_0 @ X0 @ X1 @ X2 @ X3 ) ),
    inference(cnf,[status(esa)],[zf_stmt_4]) ).

thf(zip_derived_cl6,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( act @ X0 @ X1 )
      | ~ ( zip_tseitin_0 @ X2 @ X0 @ X1 @ X3 ) ),
    inference(cnf,[status(esa)],[zf_stmt_4]) ).

thf(zip_derived_cl7,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( aee @ X0 @ X1 )
      | ~ ( zip_tseitin_0 @ X2 @ X0 @ X3 @ X1 ) ),
    inference(cnf,[status(esa)],[zf_stmt_4]) ).

thf(zip_derived_cl8,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( proh @ X0 )
      | ~ ( zip_tseitin_0 @ X1 @ X0 @ X2 @ X3 ) ),
    inference(cnf,[status(esa)],[zf_stmt_4]) ).

thf(no_proh_modify,axiom,
    ~ ? [F: $i,E: $i] :
        ( ( activates @ E @ F )
        & ( act @ F @ modify_act )
        & ( aee @ F @ portal )
        & ( proh @ F ) ) ).

thf(zip_derived_cl4,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( act @ X0 @ modify_act )
      | ~ ( aee @ X0 @ portal )
      | ~ ( proh @ X0 )
      | ~ ( activates @ X1 @ X0 ) ),
    inference(cnf,[status(esa)],[no_proh_modify]) ).

thf(zip_derived_cl19,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( ~ ( zip_tseitin_0 @ X4 @ X0 @ X3 @ X2 )
      | ~ ( activates @ X1 @ X0 )
      | ~ ( aee @ X0 @ portal )
      | ~ ( act @ X0 @ modify_act ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl8,zip_derived_cl4]) ).

thf(zip_derived_cl20,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( ~ ( zip_tseitin_0 @ X6 @ X0 @ X5 @ portal )
      | ~ ( act @ X0 @ modify_act )
      | ~ ( activates @ X1 @ X0 )
      | ~ ( zip_tseitin_0 @ X4 @ X0 @ X3 @ X2 ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl7,zip_derived_cl19]) ).

thf(zip_derived_cl21,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
      ( ~ ( zip_tseitin_0 @ X8 @ X2 @ modify_act @ X7 )
      | ~ ( zip_tseitin_0 @ X3 @ X2 @ X1 @ X0 )
      | ~ ( activates @ X4 @ X2 )
      | ~ ( zip_tseitin_0 @ X6 @ X2 @ X5 @ portal ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl6,zip_derived_cl20]) ).

thf(zip_derived_cl22,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i] :
      ( ~ ( zip_tseitin_0 @ X10 @ X1 @ X9 @ X8 )
      | ~ ( zip_tseitin_0 @ X2 @ X1 @ X0 @ portal )
      | ~ ( zip_tseitin_0 @ X5 @ X1 @ X4 @ X3 )
      | ~ ( zip_tseitin_0 @ X7 @ X1 @ modify_act @ X6 ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl5,zip_derived_cl21]) ).

thf(zip_derived_cl31,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
      ( ~ ( zip_tseitin_0 @ X2 @ X1 @ modify_act @ X0 )
      | ~ ( zip_tseitin_0 @ X4 @ X1 @ X3 @ portal )
      | ~ ( zip_tseitin_0 @ X7 @ X1 @ X6 @ X5 ) ),
    inference(condensation,[status(thm)],[zip_derived_cl22]) ).

thf(zip_derived_cl32,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( ~ ( zip_tseitin_0 @ X2 @ X1 @ modify_act @ X0 )
      | ~ ( zip_tseitin_0 @ X4 @ X1 @ X3 @ portal ) ),
    inference(condensation,[status(thm)],[zip_derived_cl31]) ).

thf(zip_derived_cl33,plain,
    ! [X0: $i,X1: $i] :
      ~ ( zip_tseitin_0 @ X1 @ ( sk_ @ modify_act @ portal ) @ X0 @ portal ),
    inference('sup-',[status(thm)],[zip_derived_cl28,zip_derived_cl32]) ).

thf(zip_derived_cl28_001,plain,
    zip_tseitin_0 @ ( sk__1 @ modify_act @ portal ) @ ( sk_ @ modify_act @ portal ) @ modify_act @ portal,
    inference('sup+',[status(thm)],[zip_derived_cl27,zip_derived_cl23]) ).

thf(zip_derived_cl35,plain,
    $false,
    inference('sup+',[status(thm)],[zip_derived_cl33,zip_derived_cl28]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01  % Problem  : MGT111+1 : TPTP v9.3.0. Released v9.3.0.
% 0.00/0.02  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.31eRK4scaT true
% 0.05/0.30  % Computer : n012.cluster.edu
% 0.05/0.30  % Model    : x86_64 x86_64
% 0.05/0.30  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.05/0.30  % Memory   : 8046.5625MB
% 0.05/0.30  % OS       : Linux 6.8.0-71-generic
% 0.05/0.30  % CPULimit : 300
% 0.05/0.30  % WCLimit  : 300
% 0.05/0.30  % DateTime : Mon Sep  7 14:06:11 UTC 2026
% 0.05/0.31  % CPUTime  : 
% 0.05/0.31  % Running portfolio for 300 s
% 0.05/0.31  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.05/0.31  % Number of cores: 8
% 0.05/0.31  % Python version: Python 3.12.3
% 0.05/0.31  % Running in FO mode
% 0.20/0.45  % Total configuration time : 435
% 0.20/0.45  % Estimated wc time : 1092
% 0.20/0.45  % Estimated cpu time (7 cpus) : 156.0
% 0.20/0.52  % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.20/0.53  % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.20/0.53  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.20/0.53  % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.20/0.53  % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.20/0.53  % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.20/0.53  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.71/0.56  % Solved by fo/fo3_bce.sh.
% 0.71/0.56  % BCE start: 14
% 0.71/0.56  % BCE eliminated: 0
% 0.71/0.56  % PE start: 14
% 0.71/0.56  logic: neq
% 0.71/0.56  % PE eliminated: 10
% 0.71/0.56  % done 7 iterations in 0.010s
% 0.71/0.56  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.71/0.56  % SZS output start Refutation
% See solution above
% 0.71/0.56  
% 0.71/0.56  
% 0.71/0.56  % Terminating...
% 0.71/0.58  % Runner terminated.
% 0.71/0.59  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------