TSTP Solution File: CSR001+2 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : CSR001+2 : TPTP v8.1.2. Bugfixed v3.1.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.DNh6dDBi7k true

% Computer : n008.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 : Wed Aug 30 22:05:12 EDT 2023

% Result   : Theorem 145.64s 21.40s
% Output   : Refutation 145.64s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   63
%            Number of leaves      :   87
% Syntax   : Number of formulae    :  626 ( 179 unt;  41 typ;   0 def)
%            Number of atoms       : 1439 ( 348 equ;   0 cnn)
%            Maximal formula atoms :   11 (   2 avg)
%            Number of connectives : 4857 ( 650   ~; 779   |;  45   &;3353   @)
%                                         (  19 <=>;  11  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   16 (   7 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   76 (  76   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   37 (  35 usr;  11 con; 0-4 aty)
%            Number of variables   :  805 (   0   ^; 793   !;  12   ?; 805   :)

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

thf(waterLevel_type,type,
    waterLevel: $i > $i ).

thf(zip_tseitin_3_type,type,
    zip_tseitin_3: $i > $i > $o ).

thf(sk__4_type,type,
    sk__4: $i > $i > $i ).

thf(n3_type,type,
    n3: $i ).

thf(tapOn_type,type,
    tapOn: $i ).

thf(spilling_type,type,
    spilling: $i ).

thf(releases_type,type,
    releases: $i > $i > $i > $o ).

thf(initiates_type,type,
    initiates: $i > $i > $i > $o ).

thf(happens_type,type,
    happens: $i > $i > $o ).

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

thf(filling_type,type,
    filling: $i ).

thf(zip_tseitin_5_type,type,
    zip_tseitin_5: $i > $i > $o ).

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

thf(sk__10_type,type,
    sk__10: $i > $i ).

thf(less_or_equal_type,type,
    less_or_equal: $i > $i > $o ).

thf(sk__5_type,type,
    sk__5: $i > $i > $i ).

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

thf(trajectory_type,type,
    trajectory: $i > $i > $i > $i > $o ).

thf(sk__6_type,type,
    sk__6: $i > $i > $i ).

thf(n2_type,type,
    n2: $i ).

thf(overflow_type,type,
    overflow: $i ).

thf(releasedAt_type,type,
    releasedAt: $i > $i > $o ).

thf(sk__7_type,type,
    sk__7: $i > $i > $i ).

thf(less_type,type,
    less: $i > $i > $o ).

thf(plus_type,type,
    plus: $i > $i > $i ).

thf(stoppedIn_type,type,
    stoppedIn: $i > $i > $i > $o ).

thf(n4_type,type,
    n4: $i ).

thf(holdsAt_type,type,
    holdsAt: $i > $i > $o ).

thf(n0_type,type,
    n0: $i ).

thf(zip_tseitin_4_type,type,
    zip_tseitin_4: $i > $i > $o ).

thf(terminates_type,type,
    terminates: $i > $i > $i > $o ).

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

thf(tapOff_type,type,
    tapOff: $i ).

thf(zip_tseitin_2_type,type,
    zip_tseitin_2: $i > $i > $o ).

thf(plus1_3,axiom,
    ( ( plus @ n1 @ n3 )
    = n4 ) ).

thf(zip_derived_cl79,plain,
    ( ( plus @ n1 @ n3 )
    = n4 ),
    inference(cnf,[status(esa)],[plus1_3]) ).

thf(symmetry_of_plus,axiom,
    ! [X: $i,Y: $i] :
      ( ( plus @ X @ Y )
      = ( plus @ Y @ X ) ) ).

thf(zip_derived_cl83,plain,
    ! [X0: $i,X1: $i] :
      ( ( plus @ X1 @ X0 )
      = ( plus @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[symmetry_of_plus]) ).

thf(initiates_all_defn,axiom,
    ! [Event: $i,Fluent: $i,Time: $i] :
      ( ( initiates @ Event @ Fluent @ Time )
    <=> ( ? [Height: $i] :
            ( ( holdsAt @ ( waterLevel @ Height ) @ Time )
            & ( Event = overflow )
            & ( Fluent
              = ( waterLevel @ Height ) ) )
        | ? [Height: $i] :
            ( ( holdsAt @ ( waterLevel @ Height ) @ Time )
            & ( Event = tapOff )
            & ( Fluent
              = ( waterLevel @ Height ) ) )
        | ( ( Fluent = spilling )
          & ( Event = overflow ) )
        | ( ( Fluent = filling )
          & ( Event = tapOn ) ) ) ) ).

thf(zf_stmt_0,axiom,
    ! [Height: $i,Time: $i,Fluent: $i,Event: $i] :
      ( ( zip_tseitin_0 @ Height @ Time @ Fluent @ Event )
    <=> ( ( Fluent
          = ( waterLevel @ Height ) )
        & ( Event = overflow )
        & ( holdsAt @ ( waterLevel @ Height ) @ Time ) ) ) ).

thf(zip_derived_cl28,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( zip_tseitin_0 @ X0 @ X1 @ X2 @ X3 )
      | ~ ( holdsAt @ ( waterLevel @ X0 ) @ X1 )
      | ( X3 != overflow )
      | ( X2
       != ( waterLevel @ X0 ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zf_stmt_1,type,
    zip_tseitin_3: $i > $i > $o ).

thf(zf_stmt_2,axiom,
    ! [Fluent: $i,Event: $i] :
      ( ( zip_tseitin_3 @ Fluent @ Event )
    <=> ( ( Event = tapOn )
        & ( Fluent = filling ) ) ) ).

thf(zf_stmt_3,type,
    zip_tseitin_2: $i > $i > $o ).

thf(zf_stmt_4,axiom,
    ! [Fluent: $i,Event: $i] :
      ( ( zip_tseitin_2 @ Fluent @ Event )
    <=> ( ( Event = overflow )
        & ( Fluent = spilling ) ) ) ).

thf(zf_stmt_5,type,
    zip_tseitin_1: $i > $i > $i > $i > $o ).

thf(zf_stmt_6,axiom,
    ! [Height: $i,Time: $i,Fluent: $i,Event: $i] :
      ( ( zip_tseitin_1 @ Height @ Time @ Fluent @ Event )
    <=> ( ( Fluent
          = ( waterLevel @ Height ) )
        & ( Event = tapOff )
        & ( holdsAt @ ( waterLevel @ Height ) @ Time ) ) ) ).

thf(zf_stmt_7,type,
    zip_tseitin_0: $i > $i > $i > $i > $o ).

thf(zf_stmt_8,axiom,
    ! [Event: $i,Fluent: $i,Time: $i] :
      ( ( initiates @ Event @ Fluent @ Time )
    <=> ( ( zip_tseitin_3 @ Fluent @ Event )
        | ( zip_tseitin_2 @ Fluent @ Event )
        | ? [Height: $i] : ( zip_tseitin_1 @ Height @ Time @ Fluent @ Event )
        | ? [Height: $i] : ( zip_tseitin_0 @ Height @ Time @ Fluent @ Event ) ) ) ).

thf(zip_derived_cl43,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( initiates @ X0 @ X1 @ X2 )
      | ~ ( zip_tseitin_0 @ X3 @ X2 @ X1 @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_8]) ).

thf(zip_derived_cl769,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( X1
       != ( waterLevel @ X3 ) )
      | ( X0 != overflow )
      | ~ ( holdsAt @ ( waterLevel @ X3 ) @ X2 )
      | ( initiates @ X0 @ X1 @ X2 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl28,zip_derived_cl43]) ).

thf(zip_derived_cl1444,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( initiates @ overflow @ X1 @ X0 )
      | ~ ( holdsAt @ ( waterLevel @ X2 ) @ X0 )
      | ( X1
       != ( waterLevel @ X2 ) ) ),
    inference(eq_res,[status(thm)],[zip_derived_cl769]) ).

thf(zip_derived_cl7063,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( holdsAt @ ( waterLevel @ X1 ) @ X0 )
      | ( initiates @ overflow @ ( waterLevel @ X1 ) @ X0 ) ),
    inference(eq_res,[status(thm)],[zip_derived_cl1444]) ).

thf(happens_holds,axiom,
    ! [Event: $i,Time: $i,Fluent: $i] :
      ( ( ( happens @ Event @ Time )
        & ( initiates @ Event @ Fluent @ Time ) )
     => ( holdsAt @ Fluent @ ( plus @ Time @ n1 ) ) ) ).

thf(zip_derived_cl20,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( happens @ X0 @ X1 )
      | ~ ( initiates @ X0 @ X2 @ X1 )
      | ( holdsAt @ X2 @ ( plus @ X1 @ n1 ) ) ),
    inference(cnf,[status(esa)],[happens_holds]) ).

thf(zip_derived_cl9163,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( holdsAt @ ( waterLevel @ X1 ) @ X0 )
      | ~ ( happens @ overflow @ X0 )
      | ( holdsAt @ ( waterLevel @ X1 ) @ ( plus @ X0 @ n1 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl7063,zip_derived_cl20]) ).

thf(zip_derived_cl16328,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( holdsAt @ ( waterLevel @ X1 ) @ X0 )
      | ~ ( happens @ overflow @ X0 )
      | ( holdsAt @ ( waterLevel @ X1 ) @ ( plus @ n1 @ X0 ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl83,zip_derived_cl9163]) ).

thf(zip_derived_cl16596,plain,
    ! [X0: $i] :
      ( ~ ( holdsAt @ ( waterLevel @ X0 ) @ n3 )
      | ~ ( happens @ overflow @ n3 )
      | ( holdsAt @ ( waterLevel @ X0 ) @ n4 ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl79,zip_derived_cl16328]) ).

thf(less_property,axiom,
    ! [X: $i,Y: $i] :
      ( ( less @ X @ Y )
    <=> ( ~ ( less @ Y @ X )
        & ( Y != X ) ) ) ).

thf(zip_derived_cl108,plain,
    ! [X0: $i,X1: $i] :
      ( ( less @ X0 @ X1 )
      | ( X1 = X0 )
      | ( less @ X1 @ X0 ) ),
    inference(cnf,[status(esa)],[less_property]) ).

thf(less_or_equal,axiom,
    ! [X: $i,Y: $i] :
      ( ( less_or_equal @ X @ Y )
    <=> ( ( less @ X @ Y )
        | ( X = Y ) ) ) ).

thf(zip_derived_cl86,plain,
    ! [X0: $i,X1: $i] :
      ( ( less_or_equal @ X0 @ X1 )
      | ( X0 != X1 ) ),
    inference(cnf,[status(esa)],[less_or_equal]) ).

thf(less3,axiom,
    ! [X: $i] :
      ( ( less @ X @ n3 )
    <=> ( less_or_equal @ X @ n2 ) ) ).

thf(zip_derived_cl93,plain,
    ! [X0: $i] :
      ( ( less @ X0 @ n3 )
      | ~ ( less_or_equal @ X0 @ n2 ) ),
    inference(cnf,[status(esa)],[less3]) ).

thf(zip_derived_cl677,plain,
    ! [X0: $i] :
      ( ( X0 != n2 )
      | ( less @ X0 @ n3 ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl86,zip_derived_cl93]) ).

thf(zip_derived_cl85,plain,
    ! [X0: $i,X1: $i] :
      ( ( less_or_equal @ X0 @ X1 )
      | ~ ( less @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[less_or_equal]) ).

thf(less4,axiom,
    ! [X: $i] :
      ( ( less @ X @ n4 )
    <=> ( less_or_equal @ X @ n3 ) ) ).

thf(zip_derived_cl95,plain,
    ! [X0: $i] :
      ( ( less @ X0 @ n4 )
      | ~ ( less_or_equal @ X0 @ n3 ) ),
    inference(cnf,[status(esa)],[less4]) ).

thf(zip_derived_cl669,plain,
    ! [X0: $i] :
      ( ~ ( less @ X0 @ n3 )
      | ( less @ X0 @ n4 ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl85,zip_derived_cl95]) ).

thf(zip_derived_cl106,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( less @ X0 @ X1 )
      | ~ ( less @ X1 @ X0 ) ),
    inference(cnf,[status(esa)],[less_property]) ).

thf(zip_derived_cl912,plain,
    ! [X0: $i] :
      ( ~ ( less @ X0 @ n3 )
      | ~ ( less @ n4 @ X0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl669,zip_derived_cl106]) ).

thf(zip_derived_cl930,plain,
    ! [X0: $i] :
      ( ( X0 != n2 )
      | ~ ( less @ n4 @ X0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl677,zip_derived_cl912]) ).

thf(zip_derived_cl933,plain,
    ~ ( less @ n4 @ n2 ),
    inference(eq_res,[status(thm)],[zip_derived_cl930]) ).

thf(zip_derived_cl937,plain,
    ( ( n4 = n2 )
    | ( less @ n2 @ n4 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl108,zip_derived_cl933]) ).

thf(zip_derived_cl677_001,plain,
    ! [X0: $i] :
      ( ( X0 != n2 )
      | ( less @ X0 @ n3 ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl86,zip_derived_cl93]) ).

thf(zip_derived_cl86_002,plain,
    ! [X0: $i,X1: $i] :
      ( ( less_or_equal @ X0 @ X1 )
      | ( X0 != X1 ) ),
    inference(cnf,[status(esa)],[less_or_equal]) ).

thf(zip_derived_cl95_003,plain,
    ! [X0: $i] :
      ( ( less @ X0 @ n4 )
      | ~ ( less_or_equal @ X0 @ n3 ) ),
    inference(cnf,[status(esa)],[less4]) ).

thf(zip_derived_cl678,plain,
    ! [X0: $i] :
      ( ( X0 != n3 )
      | ( less @ X0 @ n4 ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl86,zip_derived_cl95]) ).

thf(zip_derived_cl106_004,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( less @ X0 @ X1 )
      | ~ ( less @ X1 @ X0 ) ),
    inference(cnf,[status(esa)],[less_property]) ).

thf(zip_derived_cl692,plain,
    ! [X0: $i] :
      ( ( X0 != n3 )
      | ~ ( less @ n4 @ X0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl678,zip_derived_cl106]) ).

thf(zip_derived_cl694,plain,
    ~ ( less @ n4 @ n3 ),
    inference(eq_res,[status(thm)],[zip_derived_cl692]) ).

thf(zip_derived_cl714,plain,
    n4 != n2,
    inference('s_sup-',[status(thm)],[zip_derived_cl677,zip_derived_cl694]) ).

thf(zip_derived_cl940,plain,
    less @ n2 @ n4,
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl937,zip_derived_cl714]) ).

thf(keep_holding,axiom,
    ! [Fluent: $i,Time: $i] :
      ( ( ( holdsAt @ Fluent @ Time )
        & ~ ( releasedAt @ Fluent @ ( plus @ Time @ n1 ) )
        & ~ ? [Event: $i] :
              ( ( terminates @ Event @ Fluent @ Time )
              & ( happens @ Event @ Time ) ) )
     => ( holdsAt @ Fluent @ ( plus @ Time @ n1 ) ) ) ).

thf(zip_derived_cl13,plain,
    ! [X0: $i,X1: $i] :
      ( ( holdsAt @ X0 @ ( plus @ X1 @ n1 ) )
      | ( terminates @ ( sk__4 @ X1 @ X0 ) @ X0 @ X1 )
      | ( releasedAt @ X0 @ ( plus @ X1 @ n1 ) )
      | ~ ( holdsAt @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[keep_holding]) ).

thf(stoppedin_defn,axiom,
    ! [Time1: $i,Fluent: $i,Time2: $i] :
      ( ( stoppedIn @ Time1 @ Fluent @ Time2 )
    <=> ? [Event: $i,Time: $i] :
          ( ( terminates @ Event @ Fluent @ Time )
          & ( less @ Time @ Time2 )
          & ( less @ Time1 @ Time )
          & ( happens @ Event @ Time ) ) ) ).

thf(zip_derived_cl4,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( ( stoppedIn @ X0 @ X1 @ X2 )
      | ~ ( happens @ X3 @ X4 )
      | ~ ( less @ X0 @ X4 )
      | ~ ( less @ X4 @ X2 )
      | ~ ( terminates @ X3 @ X1 @ X4 ) ),
    inference(cnf,[status(esa)],[stoppedin_defn]) ).

thf(zip_derived_cl688,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ~ ( holdsAt @ X1 @ X0 )
      | ( releasedAt @ X1 @ ( plus @ X0 @ n1 ) )
      | ( holdsAt @ X1 @ ( plus @ X0 @ n1 ) )
      | ( stoppedIn @ X3 @ X1 @ X2 )
      | ~ ( happens @ ( sk__4 @ X0 @ X1 ) @ X0 )
      | ~ ( less @ X3 @ X0 )
      | ~ ( less @ X0 @ X2 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl13,zip_derived_cl4]) ).

thf(zip_derived_cl12,plain,
    ! [X0: $i,X1: $i] :
      ( ( holdsAt @ X0 @ ( plus @ X1 @ n1 ) )
      | ( happens @ ( sk__4 @ X1 @ X0 ) @ X1 )
      | ( releasedAt @ X0 @ ( plus @ X1 @ n1 ) )
      | ~ ( holdsAt @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[keep_holding]) ).

thf(zip_derived_cl1267,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ~ ( less @ X0 @ X2 )
      | ~ ( less @ X3 @ X0 )
      | ( stoppedIn @ X3 @ X1 @ X2 )
      | ( holdsAt @ X1 @ ( plus @ X0 @ n1 ) )
      | ( releasedAt @ X1 @ ( plus @ X0 @ n1 ) )
      | ~ ( holdsAt @ X1 @ X0 ) ),
    inference(clc,[status(thm)],[zip_derived_cl688,zip_derived_cl12]) ).

thf(zip_derived_cl1296,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( less @ X0 @ n2 )
      | ( stoppedIn @ X0 @ X1 @ n4 )
      | ( holdsAt @ X1 @ ( plus @ n2 @ n1 ) )
      | ( releasedAt @ X1 @ ( plus @ n2 @ n1 ) )
      | ~ ( holdsAt @ X1 @ n2 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl940,zip_derived_cl1267]) ).

thf(zip_derived_cl83_005,plain,
    ! [X0: $i,X1: $i] :
      ( ( plus @ X1 @ X0 )
      = ( plus @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[symmetry_of_plus]) ).

thf(plus1_2,axiom,
    ( ( plus @ n1 @ n2 )
    = n3 ) ).

thf(zip_derived_cl78,plain,
    ( ( plus @ n1 @ n2 )
    = n3 ),
    inference(cnf,[status(esa)],[plus1_2]) ).

thf(zip_derived_cl83_006,plain,
    ! [X0: $i,X1: $i] :
      ( ( plus @ X1 @ X0 )
      = ( plus @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[symmetry_of_plus]) ).

thf(zip_derived_cl78_007,plain,
    ( ( plus @ n1 @ n2 )
    = n3 ),
    inference(cnf,[status(esa)],[plus1_2]) ).

thf(zip_derived_cl1311,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( less @ X0 @ n2 )
      | ( stoppedIn @ X0 @ X1 @ n4 )
      | ( holdsAt @ X1 @ n3 )
      | ( releasedAt @ X1 @ n3 )
      | ~ ( holdsAt @ X1 @ n2 ) ),
    inference(demod,[status(thm)],[zip_derived_cl1296,zip_derived_cl83,zip_derived_cl78,zip_derived_cl83,zip_derived_cl78]) ).

thf(zip_derived_cl1311_008,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( less @ X0 @ n2 )
      | ( stoppedIn @ X0 @ X1 @ n4 )
      | ( holdsAt @ X1 @ n3 )
      | ( releasedAt @ X1 @ n3 )
      | ~ ( holdsAt @ X1 @ n2 ) ),
    inference(demod,[status(thm)],[zip_derived_cl1296,zip_derived_cl83,zip_derived_cl78,zip_derived_cl83,zip_derived_cl78]) ).

thf(zip_derived_cl108_009,plain,
    ! [X0: $i,X1: $i] :
      ( ( less @ X0 @ X1 )
      | ( X1 = X0 )
      | ( less @ X1 @ X0 ) ),
    inference(cnf,[status(esa)],[less_property]) ).

thf(zip_derived_cl108_010,plain,
    ! [X0: $i,X1: $i] :
      ( ( less @ X0 @ X1 )
      | ( X1 = X0 )
      | ( less @ X1 @ X0 ) ),
    inference(cnf,[status(esa)],[less_property]) ).

thf(less2,axiom,
    ! [X: $i] :
      ( ( less @ X @ n2 )
    <=> ( less_or_equal @ X @ n1 ) ) ).

thf(zip_derived_cl90,plain,
    ! [X0: $i] :
      ( ( less_or_equal @ X0 @ n1 )
      | ~ ( less @ X0 @ n2 ) ),
    inference(cnf,[status(esa)],[less2]) ).

thf(zip_derived_cl84,plain,
    ! [X0: $i,X1: $i] :
      ( ( X1 = X0 )
      | ( less @ X1 @ X0 )
      | ~ ( less_or_equal @ X1 @ X0 ) ),
    inference(cnf,[status(esa)],[less_or_equal]) ).

thf(zip_derived_cl658,plain,
    ! [X0: $i] :
      ( ~ ( less @ X0 @ n2 )
      | ( less @ X0 @ n1 )
      | ( X0 = n1 ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl90,zip_derived_cl84]) ).

thf(zip_derived_cl1048,plain,
    ! [X0: $i] :
      ( ( X0 = n2 )
      | ( less @ n2 @ X0 )
      | ( less @ X0 @ n1 )
      | ( X0 = n1 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl108,zip_derived_cl658]) ).

thf(less1,axiom,
    ! [X: $i] :
      ( ( less @ X @ n1 )
    <=> ( less_or_equal @ X @ n0 ) ) ).

thf(zip_derived_cl88,plain,
    ! [X0: $i] :
      ( ( less_or_equal @ X0 @ n0 )
      | ~ ( less @ X0 @ n1 ) ),
    inference(cnf,[status(esa)],[less1]) ).

thf(zip_derived_cl84_011,plain,
    ! [X0: $i,X1: $i] :
      ( ( X1 = X0 )
      | ( less @ X1 @ X0 )
      | ~ ( less_or_equal @ X1 @ X0 ) ),
    inference(cnf,[status(esa)],[less_or_equal]) ).

thf(zip_derived_cl657,plain,
    ! [X0: $i] :
      ( ~ ( less @ X0 @ n1 )
      | ( less @ X0 @ n0 )
      | ( X0 = n0 ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl88,zip_derived_cl84]) ).

thf(less0,axiom,
    ~ ? [X: $i] : ( less @ X @ n0 ) ).

thf(zip_derived_cl87,plain,
    ! [X0: $i] :
      ~ ( less @ X0 @ n0 ),
    inference(cnf,[status(esa)],[less0]) ).

thf(zip_derived_cl1035,plain,
    ! [X0: $i] :
      ( ~ ( less @ X0 @ n1 )
      | ( X0 = n0 ) ),
    inference(demod,[status(thm)],[zip_derived_cl657,zip_derived_cl87]) ).

thf(zip_derived_cl3078,plain,
    ! [X0: $i] :
      ( ( X0 = n1 )
      | ( less @ n2 @ X0 )
      | ( X0 = n2 )
      | ( X0 = n0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl1048,zip_derived_cl1035]) ).

thf(zip_derived_cl92,plain,
    ! [X0: $i] :
      ( ( less_or_equal @ X0 @ n2 )
      | ~ ( less @ X0 @ n3 ) ),
    inference(cnf,[status(esa)],[less3]) ).

thf(zip_derived_cl84_012,plain,
    ! [X0: $i,X1: $i] :
      ( ( X1 = X0 )
      | ( less @ X1 @ X0 )
      | ~ ( less_or_equal @ X1 @ X0 ) ),
    inference(cnf,[status(esa)],[less_or_equal]) ).

thf(zip_derived_cl659,plain,
    ! [X0: $i] :
      ( ~ ( less @ X0 @ n3 )
      | ( less @ X0 @ n2 )
      | ( X0 = n2 ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl92,zip_derived_cl84]) ).

thf(zip_derived_cl106_013,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( less @ X0 @ X1 )
      | ~ ( less @ X1 @ X0 ) ),
    inference(cnf,[status(esa)],[less_property]) ).

thf(zip_derived_cl1061,plain,
    ! [X0: $i] :
      ( ( X0 = n2 )
      | ~ ( less @ X0 @ n3 )
      | ~ ( less @ n2 @ X0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl659,zip_derived_cl106]) ).

thf(zip_derived_cl107,plain,
    ! [X0: $i,X1: $i] :
      ( ( X1 != X0 )
      | ~ ( less @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[less_property]) ).

thf(zip_derived_cl2764,plain,
    ! [X0: $i] :
      ( ~ ( less @ n2 @ X0 )
      | ~ ( less @ X0 @ n3 ) ),
    inference(clc,[status(thm)],[zip_derived_cl1061,zip_derived_cl107]) ).

thf(zip_derived_cl21234,plain,
    ! [X0: $i] :
      ( ( X0 = n0 )
      | ( X0 = n2 )
      | ( X0 = n1 )
      | ~ ( less @ X0 @ n3 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl3078,zip_derived_cl2764]) ).

thf(zip_derived_cl21493,plain,
    ! [X0: $i] :
      ( ( X0 = n3 )
      | ( less @ n3 @ X0 )
      | ( X0 = n0 )
      | ( X0 = n2 )
      | ( X0 = n1 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl108,zip_derived_cl21234]) ).

thf(plus0_1,axiom,
    ( ( plus @ n0 @ n1 )
    = n1 ) ).

thf(zip_derived_cl74,plain,
    ( ( plus @ n0 @ n1 )
    = n1 ),
    inference(cnf,[status(esa)],[plus0_1]) ).

thf(keep_not_holding,axiom,
    ! [Fluent: $i,Time: $i] :
      ( ( ~ ( holdsAt @ Fluent @ Time )
        & ~ ( releasedAt @ Fluent @ ( plus @ Time @ n1 ) )
        & ~ ? [Event: $i] :
              ( ( initiates @ Event @ Fluent @ Time )
              & ( happens @ Event @ Time ) ) )
     => ~ ( holdsAt @ Fluent @ ( plus @ Time @ n1 ) ) ) ).

thf(zip_derived_cl14,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( holdsAt @ X0 @ ( plus @ X1 @ n1 ) )
      | ( happens @ ( sk__5 @ X1 @ X0 ) @ X1 )
      | ( releasedAt @ X0 @ ( plus @ X1 @ n1 ) )
      | ( holdsAt @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[keep_not_holding]) ).

thf(happens_all_defn,axiom,
    ! [Event: $i,Time: $i] :
      ( ( happens @ Event @ Time )
    <=> ( ( ( Event = overflow )
          & ( holdsAt @ filling @ Time )
          & ( holdsAt @ ( waterLevel @ n3 ) @ Time ) )
        | ( ( Time = n0 )
          & ( Event = tapOn ) ) ) ) ).

thf(zf_stmt_9,type,
    zip_tseitin_5: $i > $i > $o ).

thf(zf_stmt_10,axiom,
    ! [Time: $i,Event: $i] :
      ( ( zip_tseitin_5 @ Time @ Event )
    <=> ( ( Event = tapOn )
        & ( Time = n0 ) ) ) ).

thf(zf_stmt_11,type,
    zip_tseitin_4: $i > $i > $o ).

thf(zf_stmt_12,axiom,
    ! [Time: $i,Event: $i] :
      ( ( zip_tseitin_4 @ Time @ Event )
    <=> ( ( holdsAt @ ( waterLevel @ n3 ) @ Time )
        & ( holdsAt @ filling @ Time )
        & ( Event = overflow ) ) ) ).

thf(zf_stmt_13,axiom,
    ! [Event: $i,Time: $i] :
      ( ( happens @ Event @ Time )
    <=> ( ( zip_tseitin_5 @ Time @ Event )
        | ( zip_tseitin_4 @ Time @ Event ) ) ) ).

thf(zip_derived_cl60,plain,
    ! [X0: $i,X1: $i] :
      ( ( zip_tseitin_4 @ X0 @ X1 )
      | ( zip_tseitin_5 @ X0 @ X1 )
      | ~ ( happens @ X1 @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_13]) ).

thf(zip_derived_cl57,plain,
    ! [X0: $i,X1: $i] :
      ( ( X0 = tapOn )
      | ~ ( zip_tseitin_5 @ X1 @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_10]) ).

thf(zip_derived_cl577,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( happens @ X0 @ X1 )
      | ( zip_tseitin_4 @ X1 @ X0 )
      | ( X0 = tapOn ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl60,zip_derived_cl57]) ).

thf(zip_derived_cl55,plain,
    ! [X0: $i,X1: $i] :
      ( ( X0 = overflow )
      | ~ ( zip_tseitin_4 @ X1 @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_12]) ).

thf(zip_derived_cl883,plain,
    ! [X0: $i,X1: $i] :
      ( ( X0 = tapOn )
      | ~ ( happens @ X0 @ X1 )
      | ( X0 = overflow ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl577,zip_derived_cl55]) ).

thf(zip_derived_cl1102,plain,
    ! [X0: $i,X1: $i] :
      ( ( holdsAt @ X1 @ X0 )
      | ( releasedAt @ X1 @ ( plus @ X0 @ n1 ) )
      | ~ ( holdsAt @ X1 @ ( plus @ X0 @ n1 ) )
      | ( ( sk__5 @ X0 @ X1 )
        = tapOn )
      | ( ( sk__5 @ X0 @ X1 )
        = overflow ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl14,zip_derived_cl883]) ).

thf(terminates_all_defn,axiom,
    ! [Event: $i,Fluent: $i,Time: $i] :
      ( ( terminates @ Event @ Fluent @ Time )
    <=> ( ( ( Event = tapOff )
          & ( Fluent = filling ) )
        | ( ( Event = overflow )
          & ( Fluent = filling ) ) ) ) ).

thf(zip_derived_cl49,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( terminates @ X0 @ X1 @ X2 )
      | ( X0 != overflow )
      | ( X1 != filling ) ),
    inference(cnf,[status(esa)],[terminates_all_defn]) ).

thf(zip_derived_cl59,plain,
    ! [X0: $i,X1: $i] :
      ( ( zip_tseitin_5 @ X0 @ X1 )
      | ( X0 != n0 )
      | ( X1 != tapOn ) ),
    inference(cnf,[status(esa)],[zf_stmt_10]) ).

thf(zip_derived_cl61,plain,
    ! [X0: $i,X1: $i] :
      ( ( happens @ X0 @ X1 )
      | ~ ( zip_tseitin_5 @ X1 @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_13]) ).

thf(zip_derived_cl579,plain,
    ! [X0: $i,X1: $i] :
      ( ( X0 != tapOn )
      | ( X1 != n0 )
      | ( happens @ X0 @ X1 ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl59,zip_derived_cl61]) ).

thf(zip_derived_cl74_014,plain,
    ( ( plus @ n0 @ n1 )
    = n1 ),
    inference(cnf,[status(esa)],[plus0_1]) ).

thf(releases_all_defn,axiom,
    ! [Event: $i,Fluent: $i,Time: $i] :
      ( ( releases @ Event @ Fluent @ Time )
    <=> ? [Height: $i] :
          ( ( Fluent
            = ( waterLevel @ Height ) )
          & ( Event = tapOn ) ) ) ).

thf(zip_derived_cl52,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( releases @ X0 @ X1 @ X2 )
      | ( X1
       != ( waterLevel @ X3 ) )
      | ( X0 != tapOn ) ),
    inference(cnf,[status(esa)],[releases_all_defn]) ).

thf(happens_releases,axiom,
    ! [Event: $i,Time: $i,Fluent: $i] :
      ( ( ( happens @ Event @ Time )
        & ( releases @ Event @ Fluent @ Time ) )
     => ( releasedAt @ Fluent @ ( plus @ Time @ n1 ) ) ) ).

thf(zip_derived_cl22,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( happens @ X0 @ X1 )
      | ~ ( releases @ X0 @ X2 @ X1 )
      | ( releasedAt @ X2 @ ( plus @ X1 @ n1 ) ) ),
    inference(cnf,[status(esa)],[happens_releases]) ).

thf(zip_derived_cl586,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( X2 != tapOn )
      | ( X1
       != ( waterLevel @ X3 ) )
      | ( releasedAt @ X1 @ ( plus @ X0 @ n1 ) )
      | ~ ( happens @ X2 @ X0 ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl52,zip_derived_cl22]) ).

thf(zip_derived_cl917,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( happens @ tapOn @ X0 )
      | ( releasedAt @ X1 @ ( plus @ X0 @ n1 ) )
      | ( X1
       != ( waterLevel @ X2 ) ) ),
    inference(eq_res,[status(thm)],[zip_derived_cl586]) ).

thf(zip_derived_cl1874,plain,
    ! [X0: $i,X1: $i] :
      ( ( releasedAt @ ( waterLevel @ X1 ) @ ( plus @ X0 @ n1 ) )
      | ~ ( happens @ tapOn @ X0 ) ),
    inference(eq_res,[status(thm)],[zip_derived_cl917]) ).

thf(zip_derived_cl9326,plain,
    ! [X0: $i] :
      ( ( releasedAt @ ( waterLevel @ X0 ) @ n1 )
      | ~ ( happens @ tapOn @ n0 ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl74,zip_derived_cl1874]) ).

thf(zip_derived_cl9442,plain,
    ! [X0: $i] :
      ( ( n0 != n0 )
      | ( tapOn != tapOn )
      | ( releasedAt @ ( waterLevel @ X0 ) @ n1 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl579,zip_derived_cl9326]) ).

thf(zip_derived_cl9443,plain,
    ! [X0: $i] : ( releasedAt @ ( waterLevel @ X0 ) @ n1 ),
    inference(simplify,[status(thm)],[zip_derived_cl9442]) ).

thf(zip_derived_cl74_015,plain,
    ( ( plus @ n0 @ n1 )
    = n1 ),
    inference(cnf,[status(esa)],[plus0_1]) ).

thf(keep_not_released,axiom,
    ! [Fluent: $i,Time: $i] :
      ( ( ~ ( releasedAt @ Fluent @ Time )
        & ~ ? [Event: $i] :
              ( ( releases @ Event @ Fluent @ Time )
              & ( happens @ Event @ Time ) ) )
     => ~ ( releasedAt @ Fluent @ ( plus @ Time @ n1 ) ) ) ).

thf(zip_derived_cl19,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( releasedAt @ X0 @ ( plus @ X1 @ n1 ) )
      | ( releases @ ( sk__7 @ X1 @ X0 ) @ X0 @ X1 )
      | ( releasedAt @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[keep_not_released]) ).

thf(zip_derived_cl50,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( X0 = tapOn )
      | ~ ( releases @ X0 @ X1 @ X2 ) ),
    inference(cnf,[status(esa)],[releases_all_defn]) ).

thf(zip_derived_cl584,plain,
    ! [X0: $i,X1: $i] :
      ( ( releasedAt @ X1 @ X0 )
      | ~ ( releasedAt @ X1 @ ( plus @ X0 @ n1 ) )
      | ( ( sk__7 @ X0 @ X1 )
        = tapOn ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl19,zip_derived_cl50]) ).

thf(zip_derived_cl18,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( releasedAt @ X0 @ ( plus @ X1 @ n1 ) )
      | ( happens @ ( sk__7 @ X1 @ X0 ) @ X1 )
      | ( releasedAt @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[keep_not_released]) ).

thf(zip_derived_cl899,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( releasedAt @ X1 @ ( plus @ X0 @ n1 ) )
      | ( releasedAt @ X1 @ X0 )
      | ~ ( releasedAt @ X1 @ ( plus @ X0 @ n1 ) )
      | ( happens @ tapOn @ X0 )
      | ( releasedAt @ X1 @ X0 ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl584,zip_derived_cl18]) ).

thf(zip_derived_cl900,plain,
    ! [X0: $i,X1: $i] :
      ( ( happens @ tapOn @ X0 )
      | ( releasedAt @ X1 @ X0 )
      | ~ ( releasedAt @ X1 @ ( plus @ X0 @ n1 ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl899]) ).

thf(zip_derived_cl1783,plain,
    ! [X0: $i] :
      ( ( happens @ tapOn @ n0 )
      | ( releasedAt @ X0 @ n0 )
      | ~ ( releasedAt @ X0 @ n1 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl74,zip_derived_cl900]) ).

thf(zip_derived_cl9457,plain,
    ! [X0: $i] :
      ( ( happens @ tapOn @ n0 )
      | ( releasedAt @ ( waterLevel @ X0 ) @ n0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl9443,zip_derived_cl1783]) ).

thf(not_released_waterLevel_0,axiom,
    ! [Height: $i] :
      ~ ( releasedAt @ ( waterLevel @ Height ) @ n0 ) ).

thf(zip_derived_cl112,plain,
    ! [X0: $i] :
      ~ ( releasedAt @ ( waterLevel @ X0 ) @ n0 ),
    inference(cnf,[status(esa)],[not_released_waterLevel_0]) ).

thf(zip_derived_cl9530,plain,
    happens @ tapOn @ n0,
    inference(clc,[status(thm)],[zip_derived_cl9457,zip_derived_cl112]) ).

thf(zip_derived_cl38,plain,
    ! [X0: $i,X1: $i] :
      ( ( zip_tseitin_3 @ X0 @ X1 )
      | ( X0 != filling )
      | ( X1 != tapOn ) ),
    inference(cnf,[status(esa)],[zf_stmt_2]) ).

thf(zip_derived_cl40,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( initiates @ X0 @ X1 @ X2 )
      | ~ ( zip_tseitin_3 @ X1 @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_8]) ).

thf(zip_derived_cl597,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( X0 != tapOn )
      | ( X1 != filling )
      | ( initiates @ X0 @ X1 @ X2 ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl38,zip_derived_cl40]) ).

thf(zip_derived_cl20_016,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( happens @ X0 @ X1 )
      | ~ ( initiates @ X0 @ X2 @ X1 )
      | ( holdsAt @ X2 @ ( plus @ X1 @ n1 ) ) ),
    inference(cnf,[status(esa)],[happens_holds]) ).

thf(zip_derived_cl1027,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( X1 != filling )
      | ( X2 != tapOn )
      | ~ ( happens @ X2 @ X0 )
      | ( holdsAt @ X1 @ ( plus @ X0 @ n1 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl597,zip_derived_cl20]) ).

thf(zip_derived_cl2913,plain,
    ! [X0: $i,X1: $i] :
      ( ( holdsAt @ filling @ ( plus @ X0 @ n1 ) )
      | ~ ( happens @ X1 @ X0 )
      | ( X1 != tapOn ) ),
    inference(eq_res,[status(thm)],[zip_derived_cl1027]) ).

thf(zip_derived_cl12678,plain,
    ! [X0: $i] :
      ( ~ ( happens @ tapOn @ X0 )
      | ( holdsAt @ filling @ ( plus @ X0 @ n1 ) ) ),
    inference(eq_res,[status(thm)],[zip_derived_cl2913]) ).

thf(zip_derived_cl12681,plain,
    holdsAt @ filling @ ( plus @ n0 @ n1 ),
    inference('s_sup-',[status(thm)],[zip_derived_cl9530,zip_derived_cl12678]) ).

thf(zip_derived_cl74_017,plain,
    ( ( plus @ n0 @ n1 )
    = n1 ),
    inference(cnf,[status(esa)],[plus0_1]) ).

thf(zip_derived_cl12683,plain,
    holdsAt @ filling @ n1,
    inference(demod,[status(thm)],[zip_derived_cl12681,zip_derived_cl74]) ).

thf(zip_derived_cl12683_018,plain,
    holdsAt @ filling @ n1,
    inference(demod,[status(thm)],[zip_derived_cl12681,zip_derived_cl74]) ).

thf(zip_derived_cl14_019,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( holdsAt @ X0 @ ( plus @ X1 @ n1 ) )
      | ( happens @ ( sk__5 @ X1 @ X0 ) @ X1 )
      | ( releasedAt @ X0 @ ( plus @ X1 @ n1 ) )
      | ( holdsAt @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[keep_not_holding]) ).

thf(zip_derived_cl74_020,plain,
    ( ( plus @ n0 @ n1 )
    = n1 ),
    inference(cnf,[status(esa)],[plus0_1]) ).

thf(happens_terminates_not_holds,axiom,
    ! [Event: $i,Time: $i,Fluent: $i] :
      ( ( ( happens @ Event @ Time )
        & ( terminates @ Event @ Fluent @ Time ) )
     => ~ ( holdsAt @ Fluent @ ( plus @ Time @ n1 ) ) ) ).

thf(zip_derived_cl21,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( happens @ X0 @ X1 )
      | ~ ( terminates @ X0 @ X2 @ X1 )
      | ~ ( holdsAt @ X2 @ ( plus @ X1 @ n1 ) ) ),
    inference(cnf,[status(esa)],[happens_terminates_not_holds]) ).

thf(zip_derived_cl710,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( happens @ X1 @ n0 )
      | ~ ( terminates @ X1 @ X0 @ n0 )
      | ~ ( holdsAt @ X0 @ n1 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl74,zip_derived_cl21]) ).

thf(zip_derived_cl728,plain,
    ! [X0: $i,X1: $i] :
      ( ( holdsAt @ X0 @ n0 )
      | ( releasedAt @ X0 @ ( plus @ n0 @ n1 ) )
      | ~ ( holdsAt @ X0 @ ( plus @ n0 @ n1 ) )
      | ~ ( terminates @ ( sk__5 @ n0 @ X0 ) @ X1 @ n0 )
      | ~ ( holdsAt @ X1 @ n1 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl14,zip_derived_cl710]) ).

thf(zip_derived_cl74_021,plain,
    ( ( plus @ n0 @ n1 )
    = n1 ),
    inference(cnf,[status(esa)],[plus0_1]) ).

thf(zip_derived_cl74_022,plain,
    ( ( plus @ n0 @ n1 )
    = n1 ),
    inference(cnf,[status(esa)],[plus0_1]) ).

thf(zip_derived_cl732,plain,
    ! [X0: $i,X1: $i] :
      ( ( holdsAt @ X0 @ n0 )
      | ( releasedAt @ X0 @ n1 )
      | ~ ( holdsAt @ X0 @ n1 )
      | ~ ( terminates @ ( sk__5 @ n0 @ X0 ) @ X1 @ n0 )
      | ~ ( holdsAt @ X1 @ n1 ) ),
    inference(demod,[status(thm)],[zip_derived_cl728,zip_derived_cl74,zip_derived_cl74]) ).

thf(zip_derived_cl12685,plain,
    ! [X0: $i] :
      ( ( holdsAt @ filling @ n0 )
      | ( releasedAt @ filling @ n1 )
      | ~ ( terminates @ ( sk__5 @ n0 @ filling ) @ X0 @ n0 )
      | ~ ( holdsAt @ X0 @ n1 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl12683,zip_derived_cl732]) ).

thf(not_filling_0,axiom,
    ~ ( holdsAt @ filling @ n0 ) ).

thf(zip_derived_cl110,plain,
    ~ ( holdsAt @ filling @ n0 ),
    inference(cnf,[status(esa)],[not_filling_0]) ).

thf(zip_derived_cl74_023,plain,
    ( ( plus @ n0 @ n1 )
    = n1 ),
    inference(cnf,[status(esa)],[plus0_1]) ).

thf(zip_derived_cl19_024,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( releasedAt @ X0 @ ( plus @ X1 @ n1 ) )
      | ( releases @ ( sk__7 @ X1 @ X0 ) @ X0 @ X1 )
      | ( releasedAt @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[keep_not_released]) ).

thf(zip_derived_cl51,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( X0
        = ( waterLevel @ ( sk__10 @ X0 ) ) )
      | ~ ( releases @ X1 @ X0 @ X2 ) ),
    inference(cnf,[status(esa)],[releases_all_defn]) ).

thf(zip_derived_cl585,plain,
    ! [X0: $i,X1: $i] :
      ( ( releasedAt @ X1 @ X0 )
      | ~ ( releasedAt @ X1 @ ( plus @ X0 @ n1 ) )
      | ( X1
        = ( waterLevel @ ( sk__10 @ X1 ) ) ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl19,zip_derived_cl51]) ).

thf(zip_derived_cl909,plain,
    ! [X0: $i] :
      ( ( releasedAt @ X0 @ n0 )
      | ~ ( releasedAt @ X0 @ n1 )
      | ( X0
        = ( waterLevel @ ( sk__10 @ X0 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl74,zip_derived_cl585]) ).

thf(filling_not_waterLevel,axiom,
    ! [X: $i] :
      ( filling
     != ( waterLevel @ X ) ) ).

thf(zip_derived_cl68,plain,
    ! [X0: $i] :
      ( filling
     != ( waterLevel @ X0 ) ),
    inference(cnf,[status(esa)],[filling_not_waterLevel]) ).

thf(zip_derived_cl1820,plain,
    ! [X0: $i] :
      ( ~ ( releasedAt @ X0 @ n1 )
      | ( releasedAt @ X0 @ n0 )
      | ( filling != X0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl909,zip_derived_cl68]) ).

thf(zip_derived_cl9285,plain,
    ( ( releasedAt @ filling @ n0 )
    | ~ ( releasedAt @ filling @ n1 ) ),
    inference(eq_res,[status(thm)],[zip_derived_cl1820]) ).

thf(not_released_filling_0,axiom,
    ~ ( releasedAt @ filling @ n0 ) ).

thf(zip_derived_cl113,plain,
    ~ ( releasedAt @ filling @ n0 ),
    inference(cnf,[status(esa)],[not_released_filling_0]) ).

thf(zip_derived_cl9286,plain,
    ~ ( releasedAt @ filling @ n1 ),
    inference(demod,[status(thm)],[zip_derived_cl9285,zip_derived_cl113]) ).

thf(zip_derived_cl12697,plain,
    ! [X0: $i] :
      ( ~ ( terminates @ ( sk__5 @ n0 @ filling ) @ X0 @ n0 )
      | ~ ( holdsAt @ X0 @ n1 ) ),
    inference(demod,[status(thm)],[zip_derived_cl12685,zip_derived_cl110,zip_derived_cl9286]) ).

thf(zip_derived_cl12708,plain,
    ~ ( terminates @ ( sk__5 @ n0 @ filling ) @ filling @ n0 ),
    inference('s_sup-',[status(thm)],[zip_derived_cl12683,zip_derived_cl12697]) ).

thf(zip_derived_cl12761,plain,
    ( ( filling != filling )
    | ( ( sk__5 @ n0 @ filling )
     != overflow ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl49,zip_derived_cl12708]) ).

thf(zip_derived_cl12767,plain,
    ( ( sk__5 @ n0 @ filling )
   != overflow ),
    inference(simplify,[status(thm)],[zip_derived_cl12761]) ).

thf(zip_derived_cl12826,plain,
    ( ( ( sk__5 @ n0 @ filling )
      = tapOn )
    | ~ ( holdsAt @ filling @ ( plus @ n0 @ n1 ) )
    | ( releasedAt @ filling @ ( plus @ n0 @ n1 ) )
    | ( holdsAt @ filling @ n0 )
    | ( overflow != overflow ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl1102,zip_derived_cl12767]) ).

thf(zip_derived_cl74_025,plain,
    ( ( plus @ n0 @ n1 )
    = n1 ),
    inference(cnf,[status(esa)],[plus0_1]) ).

thf(zip_derived_cl12683_026,plain,
    holdsAt @ filling @ n1,
    inference(demod,[status(thm)],[zip_derived_cl12681,zip_derived_cl74]) ).

thf(zip_derived_cl74_027,plain,
    ( ( plus @ n0 @ n1 )
    = n1 ),
    inference(cnf,[status(esa)],[plus0_1]) ).

thf(zip_derived_cl9286_028,plain,
    ~ ( releasedAt @ filling @ n1 ),
    inference(demod,[status(thm)],[zip_derived_cl9285,zip_derived_cl113]) ).

thf(zip_derived_cl110_029,plain,
    ~ ( holdsAt @ filling @ n0 ),
    inference(cnf,[status(esa)],[not_filling_0]) ).

thf(zip_derived_cl12830,plain,
    ( ( ( sk__5 @ n0 @ filling )
      = tapOn )
    | ( overflow != overflow ) ),
    inference(demod,[status(thm)],[zip_derived_cl12826,zip_derived_cl74,zip_derived_cl12683,zip_derived_cl74,zip_derived_cl9286,zip_derived_cl110]) ).

thf(zip_derived_cl12831,plain,
    ( ( sk__5 @ n0 @ filling )
    = tapOn ),
    inference(simplify,[status(thm)],[zip_derived_cl12830]) ).

thf(zip_derived_cl15,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( holdsAt @ X0 @ ( plus @ X1 @ n1 ) )
      | ( initiates @ ( sk__5 @ X1 @ X0 ) @ X0 @ X1 )
      | ( releasedAt @ X0 @ ( plus @ X1 @ n1 ) )
      | ( holdsAt @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[keep_not_holding]) ).

thf(zip_derived_cl12892,plain,
    ( ~ ( holdsAt @ filling @ ( plus @ n0 @ n1 ) )
    | ( initiates @ tapOn @ filling @ n0 )
    | ( releasedAt @ filling @ ( plus @ n0 @ n1 ) )
    | ( holdsAt @ filling @ n0 ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl12831,zip_derived_cl15]) ).

thf(zip_derived_cl74_030,plain,
    ( ( plus @ n0 @ n1 )
    = n1 ),
    inference(cnf,[status(esa)],[plus0_1]) ).

thf(zip_derived_cl12683_031,plain,
    holdsAt @ filling @ n1,
    inference(demod,[status(thm)],[zip_derived_cl12681,zip_derived_cl74]) ).

thf(zip_derived_cl74_032,plain,
    ( ( plus @ n0 @ n1 )
    = n1 ),
    inference(cnf,[status(esa)],[plus0_1]) ).

thf(zip_derived_cl9286_033,plain,
    ~ ( releasedAt @ filling @ n1 ),
    inference(demod,[status(thm)],[zip_derived_cl9285,zip_derived_cl113]) ).

thf(zip_derived_cl110_034,plain,
    ~ ( holdsAt @ filling @ n0 ),
    inference(cnf,[status(esa)],[not_filling_0]) ).

thf(zip_derived_cl12896,plain,
    initiates @ tapOn @ filling @ n0,
    inference(demod,[status(thm)],[zip_derived_cl12892,zip_derived_cl74,zip_derived_cl12683,zip_derived_cl74,zip_derived_cl9286,zip_derived_cl110]) ).

thf(zip_derived_cl86_035,plain,
    ! [X0: $i,X1: $i] :
      ( ( less_or_equal @ X0 @ X1 )
      | ( X0 != X1 ) ),
    inference(cnf,[status(esa)],[less_or_equal]) ).

thf(zip_derived_cl89,plain,
    ! [X0: $i] :
      ( ( less @ X0 @ n1 )
      | ~ ( less_or_equal @ X0 @ n0 ) ),
    inference(cnf,[status(esa)],[less1]) ).

thf(zip_derived_cl675,plain,
    ! [X0: $i] :
      ( ( X0 != n0 )
      | ( less @ X0 @ n1 ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl86,zip_derived_cl89]) ).

thf(change_of_waterLevel,axiom,
    ! [Height1: $i,Time: $i,Height2: $i,Offset: $i] :
      ( ( ( holdsAt @ ( waterLevel @ Height1 ) @ Time )
        & ( Height2
          = ( plus @ Height1 @ Offset ) ) )
     => ( trajectory @ filling @ Time @ ( waterLevel @ Height2 ) @ Offset ) ) ).

thf(zip_derived_cl63,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ~ ( holdsAt @ ( waterLevel @ X0 ) @ X1 )
      | ( X3
       != ( plus @ X0 @ X2 ) )
      | ( trajectory @ filling @ X1 @ ( waterLevel @ X3 ) @ X2 ) ),
    inference(cnf,[status(esa)],[change_of_waterLevel]) ).

thf(change_holding,axiom,
    ! [Event: $i,Time: $i,Fluent: $i,Fluent2: $i,Offset: $i] :
      ( ( ( happens @ Event @ Time )
        & ( initiates @ Event @ Fluent @ Time )
        & ( less @ n0 @ Offset )
        & ( trajectory @ Fluent @ Time @ Fluent2 @ Offset )
        & ~ ( stoppedIn @ Time @ Fluent @ ( plus @ Time @ Offset ) ) )
     => ( holdsAt @ Fluent2 @ ( plus @ Time @ Offset ) ) ) ).

thf(zip_derived_cl10,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( ~ ( initiates @ X0 @ X1 @ X2 )
      | ~ ( happens @ X0 @ X2 )
      | ~ ( less @ n0 @ X3 )
      | ~ ( trajectory @ X1 @ X2 @ X4 @ X3 )
      | ( stoppedIn @ X2 @ X1 @ ( plus @ X2 @ X3 ) )
      | ( holdsAt @ X4 @ ( plus @ X2 @ X3 ) ) ),
    inference(cnf,[status(esa)],[change_holding]) ).

thf(zip_derived_cl576,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( ( X2
       != ( plus @ X1 @ X3 ) )
      | ~ ( holdsAt @ ( waterLevel @ X1 ) @ X0 )
      | ( holdsAt @ ( waterLevel @ X2 ) @ ( plus @ X0 @ X3 ) )
      | ( stoppedIn @ X0 @ filling @ ( plus @ X0 @ X3 ) )
      | ~ ( less @ n0 @ X3 )
      | ~ ( happens @ X4 @ X0 )
      | ~ ( initiates @ X4 @ filling @ X0 ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl63,zip_derived_cl10]) ).

thf(zip_derived_cl868,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( n0 != n0 )
      | ( X0
       != ( plus @ X1 @ n1 ) )
      | ~ ( holdsAt @ ( waterLevel @ X1 ) @ X2 )
      | ( holdsAt @ ( waterLevel @ X0 ) @ ( plus @ X2 @ n1 ) )
      | ( stoppedIn @ X2 @ filling @ ( plus @ X2 @ n1 ) )
      | ~ ( happens @ X3 @ X2 )
      | ~ ( initiates @ X3 @ filling @ X2 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl675,zip_derived_cl576]) ).

thf(zip_derived_cl879,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ~ ( initiates @ X3 @ filling @ X2 )
      | ~ ( happens @ X3 @ X2 )
      | ( stoppedIn @ X2 @ filling @ ( plus @ X2 @ n1 ) )
      | ( holdsAt @ ( waterLevel @ X0 ) @ ( plus @ X2 @ n1 ) )
      | ~ ( holdsAt @ ( waterLevel @ X1 ) @ X2 )
      | ( X0
       != ( plus @ X1 @ n1 ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl868]) ).

thf(zip_derived_cl1709,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( holdsAt @ ( waterLevel @ X1 ) @ X0 )
      | ( holdsAt @ ( waterLevel @ ( plus @ X1 @ n1 ) ) @ ( plus @ X0 @ n1 ) )
      | ( stoppedIn @ X0 @ filling @ ( plus @ X0 @ n1 ) )
      | ~ ( happens @ X2 @ X0 )
      | ~ ( initiates @ X2 @ filling @ X0 ) ),
    inference(eq_res,[status(thm)],[zip_derived_cl879]) ).

thf(zip_derived_cl12913,plain,
    ! [X0: $i] :
      ( ~ ( holdsAt @ ( waterLevel @ X0 ) @ n0 )
      | ( holdsAt @ ( waterLevel @ ( plus @ X0 @ n1 ) ) @ ( plus @ n0 @ n1 ) )
      | ( stoppedIn @ n0 @ filling @ ( plus @ n0 @ n1 ) )
      | ~ ( happens @ tapOn @ n0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl12896,zip_derived_cl1709]) ).

thf(zip_derived_cl74_036,plain,
    ( ( plus @ n0 @ n1 )
    = n1 ),
    inference(cnf,[status(esa)],[plus0_1]) ).

thf(zip_derived_cl74_037,plain,
    ( ( plus @ n0 @ n1 )
    = n1 ),
    inference(cnf,[status(esa)],[plus0_1]) ).

thf(zip_derived_cl1,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( less @ ( sk__1 @ X0 @ X1 @ X2 ) @ X0 )
      | ~ ( stoppedIn @ X2 @ X1 @ X0 ) ),
    inference(cnf,[status(esa)],[stoppedin_defn]) ).

thf(zip_derived_cl1035_038,plain,
    ! [X0: $i] :
      ( ~ ( less @ X0 @ n1 )
      | ( X0 = n0 ) ),
    inference(demod,[status(thm)],[zip_derived_cl657,zip_derived_cl87]) ).

thf(zip_derived_cl1040,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( stoppedIn @ X0 @ X1 @ n1 )
      | ( ( sk__1 @ n1 @ X1 @ X0 )
        = n0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl1,zip_derived_cl1035]) ).

thf(zip_derived_cl2,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( less @ X0 @ ( sk__1 @ X1 @ X2 @ X0 ) )
      | ~ ( stoppedIn @ X0 @ X2 @ X1 ) ),
    inference(cnf,[status(esa)],[stoppedin_defn]) ).

thf(zip_derived_cl3029,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( stoppedIn @ X0 @ X1 @ n1 )
      | ( less @ X0 @ n0 )
      | ~ ( stoppedIn @ X0 @ X1 @ n1 ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl1040,zip_derived_cl2]) ).

thf(zip_derived_cl87_039,plain,
    ! [X0: $i] :
      ~ ( less @ X0 @ n0 ),
    inference(cnf,[status(esa)],[less0]) ).

thf(zip_derived_cl3038,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( stoppedIn @ X0 @ X1 @ n1 )
      | ~ ( stoppedIn @ X0 @ X1 @ n1 ) ),
    inference(demod,[status(thm)],[zip_derived_cl3029,zip_derived_cl87]) ).

thf(zip_derived_cl3039,plain,
    ! [X0: $i,X1: $i] :
      ~ ( stoppedIn @ X0 @ X1 @ n1 ),
    inference(simplify,[status(thm)],[zip_derived_cl3038]) ).

thf(zip_derived_cl9530_040,plain,
    happens @ tapOn @ n0,
    inference(clc,[status(thm)],[zip_derived_cl9457,zip_derived_cl112]) ).

thf(zip_derived_cl12925,plain,
    ! [X0: $i] :
      ( ~ ( holdsAt @ ( waterLevel @ X0 ) @ n0 )
      | ( holdsAt @ ( waterLevel @ ( plus @ X0 @ n1 ) ) @ n1 ) ),
    inference(demod,[status(thm)],[zip_derived_cl12913,zip_derived_cl74,zip_derived_cl74,zip_derived_cl3039,zip_derived_cl9530]) ).

thf(zip_derived_cl13122,plain,
    ( ~ ( holdsAt @ ( waterLevel @ n0 ) @ n0 )
    | ( holdsAt @ ( waterLevel @ n1 ) @ n1 ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl74,zip_derived_cl12925]) ).

thf(waterLevel_0,axiom,
    holdsAt @ ( waterLevel @ n0 ) @ n0 ).

thf(zip_derived_cl109,plain,
    holdsAt @ ( waterLevel @ n0 ) @ n0,
    inference(cnf,[status(esa)],[waterLevel_0]) ).

thf(zip_derived_cl13124,plain,
    holdsAt @ ( waterLevel @ n1 ) @ n1,
    inference(demod,[status(thm)],[zip_derived_cl13122,zip_derived_cl109]) ).

thf(zip_derived_cl7063_041,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( holdsAt @ ( waterLevel @ X1 ) @ X0 )
      | ( initiates @ overflow @ ( waterLevel @ X1 ) @ X0 ) ),
    inference(eq_res,[status(thm)],[zip_derived_cl1444]) ).

thf(zip_derived_cl12_042,plain,
    ! [X0: $i,X1: $i] :
      ( ( holdsAt @ X0 @ ( plus @ X1 @ n1 ) )
      | ( happens @ ( sk__4 @ X1 @ X0 ) @ X1 )
      | ( releasedAt @ X0 @ ( plus @ X1 @ n1 ) )
      | ~ ( holdsAt @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[keep_holding]) ).

thf(zip_derived_cl60_043,plain,
    ! [X0: $i,X1: $i] :
      ( ( zip_tseitin_4 @ X0 @ X1 )
      | ( zip_tseitin_5 @ X0 @ X1 )
      | ~ ( happens @ X1 @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_13]) ).

thf(zip_derived_cl58,plain,
    ! [X0: $i,X1: $i] :
      ( ( X0 = n0 )
      | ~ ( zip_tseitin_5 @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[zf_stmt_10]) ).

thf(zip_derived_cl578,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( happens @ X0 @ X1 )
      | ( zip_tseitin_4 @ X1 @ X0 )
      | ( X1 = n0 ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl60,zip_derived_cl58]) ).

thf(zip_derived_cl55_044,plain,
    ! [X0: $i,X1: $i] :
      ( ( X0 = overflow )
      | ~ ( zip_tseitin_4 @ X1 @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_12]) ).

thf(zip_derived_cl889,plain,
    ! [X0: $i,X1: $i] :
      ( ( X1 = n0 )
      | ~ ( happens @ X0 @ X1 )
      | ( X0 = overflow ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl578,zip_derived_cl55]) ).

thf(zip_derived_cl1107,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( holdsAt @ X1 @ X0 )
      | ( releasedAt @ X1 @ ( plus @ X0 @ n1 ) )
      | ( holdsAt @ X1 @ ( plus @ X0 @ n1 ) )
      | ( X0 = n0 )
      | ( ( sk__4 @ X0 @ X1 )
        = overflow ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl12,zip_derived_cl889]) ).

thf(zip_derived_cl9443_045,plain,
    ! [X0: $i] : ( releasedAt @ ( waterLevel @ X0 ) @ n1 ),
    inference(simplify,[status(thm)],[zip_derived_cl9442]) ).

thf(plus1_1,axiom,
    ( ( plus @ n1 @ n1 )
    = n2 ) ).

thf(zip_derived_cl77,plain,
    ( ( plus @ n1 @ n1 )
    = n2 ),
    inference(cnf,[status(esa)],[plus1_1]) ).

thf(keep_released,axiom,
    ! [Fluent: $i,Time: $i] :
      ( ( ( releasedAt @ Fluent @ Time )
        & ~ ? [Event: $i] :
              ( ( ( terminates @ Event @ Fluent @ Time )
                | ( initiates @ Event @ Fluent @ Time ) )
              & ( happens @ Event @ Time ) ) )
     => ( releasedAt @ Fluent @ ( plus @ Time @ n1 ) ) ) ).

thf(zip_derived_cl16,plain,
    ! [X0: $i,X1: $i] :
      ( ( releasedAt @ X0 @ ( plus @ X1 @ n1 ) )
      | ( happens @ ( sk__6 @ X1 @ X0 ) @ X1 )
      | ~ ( releasedAt @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[keep_released]) ).

thf(zip_derived_cl578_046,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( happens @ X0 @ X1 )
      | ( zip_tseitin_4 @ X1 @ X0 )
      | ( X1 = n0 ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl60,zip_derived_cl58]) ).

thf(zip_derived_cl53,plain,
    ! [X0: $i,X1: $i] :
      ( ( holdsAt @ ( waterLevel @ n3 ) @ X0 )
      | ~ ( zip_tseitin_4 @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[zf_stmt_12]) ).

thf(zip_derived_cl887,plain,
    ! [X0: $i,X1: $i] :
      ( ( X1 = n0 )
      | ~ ( happens @ X0 @ X1 )
      | ( holdsAt @ ( waterLevel @ n3 ) @ X1 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl578,zip_derived_cl53]) ).

thf(zip_derived_cl1743,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( releasedAt @ X1 @ X0 )
      | ( releasedAt @ X1 @ ( plus @ X0 @ n1 ) )
      | ( X0 = n0 )
      | ( holdsAt @ ( waterLevel @ n3 ) @ X0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl16,zip_derived_cl887]) ).

thf(zip_derived_cl8662,plain,
    ! [X0: $i] :
      ( ~ ( releasedAt @ X0 @ n1 )
      | ( releasedAt @ X0 @ n2 )
      | ( n1 = n0 )
      | ( holdsAt @ ( waterLevel @ n3 ) @ n1 ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl77,zip_derived_cl1743]) ).

thf(zip_derived_cl675_047,plain,
    ! [X0: $i] :
      ( ( X0 != n0 )
      | ( less @ X0 @ n1 ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl86,zip_derived_cl89]) ).

thf(zip_derived_cl107_048,plain,
    ! [X0: $i,X1: $i] :
      ( ( X1 != X0 )
      | ~ ( less @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[less_property]) ).

thf(zip_derived_cl684,plain,
    ! [X0: $i] :
      ~ ( less @ X0 @ X0 ),
    inference(eq_res,[status(thm)],[zip_derived_cl107]) ).

thf(zip_derived_cl696,plain,
    n1 != n0,
    inference('s_sup-',[status(thm)],[zip_derived_cl675,zip_derived_cl684]) ).

thf(zip_derived_cl8663,plain,
    ! [X0: $i] :
      ( ~ ( releasedAt @ X0 @ n1 )
      | ( releasedAt @ X0 @ n2 )
      | ( holdsAt @ ( waterLevel @ n3 ) @ n1 ) ),
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl8662,zip_derived_cl696]) ).

thf(zip_derived_cl12683_049,plain,
    holdsAt @ filling @ n1,
    inference(demod,[status(thm)],[zip_derived_cl12681,zip_derived_cl74]) ).

thf(zip_derived_cl12_050,plain,
    ! [X0: $i,X1: $i] :
      ( ( holdsAt @ X0 @ ( plus @ X1 @ n1 ) )
      | ( happens @ ( sk__4 @ X1 @ X0 ) @ X1 )
      | ( releasedAt @ X0 @ ( plus @ X1 @ n1 ) )
      | ~ ( holdsAt @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[keep_holding]) ).

thf(zip_derived_cl77_051,plain,
    ( ( plus @ n1 @ n1 )
    = n2 ),
    inference(cnf,[status(esa)],[plus1_1]) ).

thf(happens_not_released,axiom,
    ! [Event: $i,Time: $i,Fluent: $i] :
      ( ( ( happens @ Event @ Time )
        & ( ( initiates @ Event @ Fluent @ Time )
          | ( terminates @ Event @ Fluent @ Time ) ) )
     => ~ ( releasedAt @ Fluent @ ( plus @ Time @ n1 ) ) ) ).

thf(zip_derived_cl24,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( happens @ X0 @ X1 )
      | ~ ( initiates @ X0 @ X2 @ X1 )
      | ~ ( releasedAt @ X2 @ ( plus @ X1 @ n1 ) ) ),
    inference(cnf,[status(esa)],[happens_not_released]) ).

thf(zip_derived_cl721,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( happens @ X1 @ n1 )
      | ~ ( initiates @ X1 @ X0 @ n1 )
      | ~ ( releasedAt @ X0 @ n2 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl77,zip_derived_cl24]) ).

thf(zip_derived_cl991,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( holdsAt @ X0 @ n1 )
      | ( releasedAt @ X0 @ ( plus @ n1 @ n1 ) )
      | ( holdsAt @ X0 @ ( plus @ n1 @ n1 ) )
      | ~ ( initiates @ ( sk__4 @ n1 @ X0 ) @ X1 @ n1 )
      | ~ ( releasedAt @ X1 @ n2 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl12,zip_derived_cl721]) ).

thf(zip_derived_cl77_052,plain,
    ( ( plus @ n1 @ n1 )
    = n2 ),
    inference(cnf,[status(esa)],[plus1_1]) ).

thf(zip_derived_cl77_053,plain,
    ( ( plus @ n1 @ n1 )
    = n2 ),
    inference(cnf,[status(esa)],[plus1_1]) ).

thf(zip_derived_cl995,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( holdsAt @ X0 @ n1 )
      | ( releasedAt @ X0 @ n2 )
      | ( holdsAt @ X0 @ n2 )
      | ~ ( initiates @ ( sk__4 @ n1 @ X0 ) @ X1 @ n1 )
      | ~ ( releasedAt @ X1 @ n2 ) ),
    inference(demod,[status(thm)],[zip_derived_cl991,zip_derived_cl77,zip_derived_cl77]) ).

thf(zip_derived_cl12690,plain,
    ! [X0: $i] :
      ( ( releasedAt @ filling @ n2 )
      | ( holdsAt @ filling @ n2 )
      | ~ ( initiates @ ( sk__4 @ n1 @ filling ) @ X0 @ n1 )
      | ~ ( releasedAt @ X0 @ n2 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl12683,zip_derived_cl995]) ).

thf(zip_derived_cl77_054,plain,
    ( ( plus @ n1 @ n1 )
    = n2 ),
    inference(cnf,[status(esa)],[plus1_1]) ).

thf(zip_derived_cl585_055,plain,
    ! [X0: $i,X1: $i] :
      ( ( releasedAt @ X1 @ X0 )
      | ~ ( releasedAt @ X1 @ ( plus @ X0 @ n1 ) )
      | ( X1
        = ( waterLevel @ ( sk__10 @ X1 ) ) ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl19,zip_derived_cl51]) ).

thf(zip_derived_cl910,plain,
    ! [X0: $i] :
      ( ( releasedAt @ X0 @ n1 )
      | ~ ( releasedAt @ X0 @ n2 )
      | ( X0
        = ( waterLevel @ ( sk__10 @ X0 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl77,zip_derived_cl585]) ).

thf(zip_derived_cl68_056,plain,
    ! [X0: $i] :
      ( filling
     != ( waterLevel @ X0 ) ),
    inference(cnf,[status(esa)],[filling_not_waterLevel]) ).

thf(zip_derived_cl1839,plain,
    ! [X0: $i] :
      ( ~ ( releasedAt @ X0 @ n2 )
      | ( releasedAt @ X0 @ n1 )
      | ( filling != X0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl910,zip_derived_cl68]) ).

thf(zip_derived_cl9585,plain,
    ( ( releasedAt @ filling @ n1 )
    | ~ ( releasedAt @ filling @ n2 ) ),
    inference(eq_res,[status(thm)],[zip_derived_cl1839]) ).

thf(zip_derived_cl9286_057,plain,
    ~ ( releasedAt @ filling @ n1 ),
    inference(demod,[status(thm)],[zip_derived_cl9285,zip_derived_cl113]) ).

thf(zip_derived_cl9586,plain,
    ~ ( releasedAt @ filling @ n2 ),
    inference(demod,[status(thm)],[zip_derived_cl9585,zip_derived_cl9286]) ).

thf(zip_derived_cl12702,plain,
    ! [X0: $i] :
      ( ( holdsAt @ filling @ n2 )
      | ~ ( initiates @ ( sk__4 @ n1 @ filling ) @ X0 @ n1 )
      | ~ ( releasedAt @ X0 @ n2 ) ),
    inference(demod,[status(thm)],[zip_derived_cl12690,zip_derived_cl9586]) ).

thf(zip_derived_cl24727,plain,
    ! [X0: $i] :
      ( ( holdsAt @ ( waterLevel @ n3 ) @ n1 )
      | ~ ( releasedAt @ X0 @ n1 )
      | ( holdsAt @ filling @ n2 )
      | ~ ( initiates @ ( sk__4 @ n1 @ filling ) @ X0 @ n1 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl8663,zip_derived_cl12702]) ).

thf(zip_derived_cl7063_058,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( holdsAt @ ( waterLevel @ X1 ) @ X0 )
      | ( initiates @ overflow @ ( waterLevel @ X1 ) @ X0 ) ),
    inference(eq_res,[status(thm)],[zip_derived_cl1444]) ).

thf(zip_derived_cl1107_059,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( holdsAt @ X1 @ X0 )
      | ( releasedAt @ X1 @ ( plus @ X0 @ n1 ) )
      | ( holdsAt @ X1 @ ( plus @ X0 @ n1 ) )
      | ( X0 = n0 )
      | ( ( sk__4 @ X0 @ X1 )
        = overflow ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl12,zip_derived_cl889]) ).

thf(zip_derived_cl7063_060,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( holdsAt @ ( waterLevel @ X1 ) @ X0 )
      | ( initiates @ overflow @ ( waterLevel @ X1 ) @ X0 ) ),
    inference(eq_res,[status(thm)],[zip_derived_cl1444]) ).

thf(zip_derived_cl18_061,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( releasedAt @ X0 @ ( plus @ X1 @ n1 ) )
      | ( happens @ ( sk__7 @ X1 @ X0 ) @ X1 )
      | ( releasedAt @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[keep_not_released]) ).

thf(zip_derived_cl889_062,plain,
    ! [X0: $i,X1: $i] :
      ( ( X1 = n0 )
      | ~ ( happens @ X0 @ X1 )
      | ( X0 = overflow ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl578,zip_derived_cl55]) ).

thf(zip_derived_cl1110,plain,
    ! [X0: $i,X1: $i] :
      ( ( releasedAt @ X1 @ X0 )
      | ~ ( releasedAt @ X1 @ ( plus @ X0 @ n1 ) )
      | ( X0 = n0 )
      | ( ( sk__7 @ X0 @ X1 )
        = overflow ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl18,zip_derived_cl889]) ).

thf(zip_derived_cl108_063,plain,
    ! [X0: $i,X1: $i] :
      ( ( less @ X0 @ X1 )
      | ( X1 = X0 )
      | ( less @ X1 @ X0 ) ),
    inference(cnf,[status(esa)],[less_property]) ).

thf(zip_derived_cl87_064,plain,
    ! [X0: $i] :
      ~ ( less @ X0 @ n0 ),
    inference(cnf,[status(esa)],[less0]) ).

thf(zip_derived_cl832,plain,
    ! [X0: $i] :
      ( ( less @ n0 @ X0 )
      | ( n0 = X0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl108,zip_derived_cl87]) ).

thf(zip_derived_cl85_065,plain,
    ! [X0: $i,X1: $i] :
      ( ( less_or_equal @ X0 @ X1 )
      | ~ ( less @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[less_or_equal]) ).

thf(zip_derived_cl93_066,plain,
    ! [X0: $i] :
      ( ( less @ X0 @ n3 )
      | ~ ( less_or_equal @ X0 @ n2 ) ),
    inference(cnf,[status(esa)],[less3]) ).

thf(zip_derived_cl668,plain,
    ! [X0: $i] :
      ( ~ ( less @ X0 @ n2 )
      | ( less @ X0 @ n3 ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl85,zip_derived_cl93]) ).

thf(zip_derived_cl1115,plain,
    ( ( n0 = n2 )
    | ( less @ n0 @ n3 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl832,zip_derived_cl668]) ).

thf(zip_derived_cl675_067,plain,
    ! [X0: $i] :
      ( ( X0 != n0 )
      | ( less @ X0 @ n1 ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl86,zip_derived_cl89]) ).

thf(zip_derived_cl86_068,plain,
    ! [X0: $i,X1: $i] :
      ( ( less_or_equal @ X0 @ X1 )
      | ( X0 != X1 ) ),
    inference(cnf,[status(esa)],[less_or_equal]) ).

thf(zip_derived_cl91,plain,
    ! [X0: $i] :
      ( ( less @ X0 @ n2 )
      | ~ ( less_or_equal @ X0 @ n1 ) ),
    inference(cnf,[status(esa)],[less2]) ).

thf(zip_derived_cl676,plain,
    ! [X0: $i] :
      ( ( X0 != n1 )
      | ( less @ X0 @ n2 ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl86,zip_derived_cl91]) ).

thf(zip_derived_cl106_069,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( less @ X0 @ X1 )
      | ~ ( less @ X1 @ X0 ) ),
    inference(cnf,[status(esa)],[less_property]) ).

thf(zip_derived_cl703,plain,
    ! [X0: $i] :
      ( ( X0 != n1 )
      | ~ ( less @ n2 @ X0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl676,zip_derived_cl106]) ).

thf(zip_derived_cl708,plain,
    ~ ( less @ n2 @ n1 ),
    inference(eq_res,[status(thm)],[zip_derived_cl703]) ).

thf(zip_derived_cl709,plain,
    n2 != n0,
    inference('s_sup-',[status(thm)],[zip_derived_cl675,zip_derived_cl708]) ).

thf(zip_derived_cl1118,plain,
    less @ n0 @ n3,
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl1115,zip_derived_cl709]) ).

thf(zip_derived_cl108_070,plain,
    ! [X0: $i,X1: $i] :
      ( ( less @ X0 @ X1 )
      | ( X1 = X0 )
      | ( less @ X1 @ X0 ) ),
    inference(cnf,[status(esa)],[less_property]) ).

thf(zip_derived_cl694_071,plain,
    ~ ( less @ n4 @ n3 ),
    inference(eq_res,[status(thm)],[zip_derived_cl692]) ).

thf(zip_derived_cl834,plain,
    ( ( less @ n3 @ n4 )
    | ( n3 = n4 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl108,zip_derived_cl694]) ).

thf(zip_derived_cl678_072,plain,
    ! [X0: $i] :
      ( ( X0 != n3 )
      | ( less @ X0 @ n4 ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl86,zip_derived_cl95]) ).

thf(zip_derived_cl684_073,plain,
    ! [X0: $i] :
      ~ ( less @ X0 @ X0 ),
    inference(eq_res,[status(thm)],[zip_derived_cl107]) ).

thf(zip_derived_cl693,plain,
    n4 != n3,
    inference('s_sup-',[status(thm)],[zip_derived_cl678,zip_derived_cl684]) ).

thf(zip_derived_cl853,plain,
    less @ n3 @ n4,
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl834,zip_derived_cl693]) ).

thf(zip_derived_cl1267_074,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ~ ( less @ X0 @ X2 )
      | ~ ( less @ X3 @ X0 )
      | ( stoppedIn @ X3 @ X1 @ X2 )
      | ( holdsAt @ X1 @ ( plus @ X0 @ n1 ) )
      | ( releasedAt @ X1 @ ( plus @ X0 @ n1 ) )
      | ~ ( holdsAt @ X1 @ X0 ) ),
    inference(clc,[status(thm)],[zip_derived_cl688,zip_derived_cl12]) ).

thf(zip_derived_cl1293,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( less @ X0 @ n3 )
      | ( stoppedIn @ X0 @ X1 @ n4 )
      | ( holdsAt @ X1 @ ( plus @ n3 @ n1 ) )
      | ( releasedAt @ X1 @ ( plus @ n3 @ n1 ) )
      | ~ ( holdsAt @ X1 @ n3 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl853,zip_derived_cl1267]) ).

thf(zip_derived_cl83_075,plain,
    ! [X0: $i,X1: $i] :
      ( ( plus @ X1 @ X0 )
      = ( plus @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[symmetry_of_plus]) ).

thf(zip_derived_cl79_076,plain,
    ( ( plus @ n1 @ n3 )
    = n4 ),
    inference(cnf,[status(esa)],[plus1_3]) ).

thf(zip_derived_cl83_077,plain,
    ! [X0: $i,X1: $i] :
      ( ( plus @ X1 @ X0 )
      = ( plus @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[symmetry_of_plus]) ).

thf(zip_derived_cl79_078,plain,
    ( ( plus @ n1 @ n3 )
    = n4 ),
    inference(cnf,[status(esa)],[plus1_3]) ).

thf(zip_derived_cl1308,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( less @ X0 @ n3 )
      | ( stoppedIn @ X0 @ X1 @ n4 )
      | ( holdsAt @ X1 @ n4 )
      | ( releasedAt @ X1 @ n4 )
      | ~ ( holdsAt @ X1 @ n3 ) ),
    inference(demod,[status(thm)],[zip_derived_cl1293,zip_derived_cl83,zip_derived_cl79,zip_derived_cl83,zip_derived_cl79]) ).

thf(zip_derived_cl0,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( terminates @ ( sk_ @ X0 @ X1 @ X2 ) @ X1 @ ( sk__1 @ X0 @ X1 @ X2 ) )
      | ~ ( stoppedIn @ X2 @ X1 @ X0 ) ),
    inference(cnf,[status(esa)],[stoppedin_defn]) ).

thf(zip_derived_cl45,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( X0 = overflow )
      | ( X0 = tapOff )
      | ~ ( terminates @ X0 @ X1 @ X2 ) ),
    inference(cnf,[status(esa)],[terminates_all_defn]) ).

thf(zip_derived_cl792,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( stoppedIn @ X0 @ X1 @ X2 )
      | ( ( sk_ @ X2 @ X1 @ X0 )
        = overflow )
      | ( ( sk_ @ X2 @ X1 @ X0 )
        = tapOff ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl0,zip_derived_cl45]) ).

thf(zip_derived_cl3,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( happens @ ( sk_ @ X0 @ X1 @ X2 ) @ ( sk__1 @ X0 @ X1 @ X2 ) )
      | ~ ( stoppedIn @ X2 @ X1 @ X0 ) ),
    inference(cnf,[status(esa)],[stoppedin_defn]) ).

thf(zip_derived_cl1506,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( ( sk_ @ X2 @ X1 @ X0 )
        = overflow )
      | ~ ( stoppedIn @ X0 @ X1 @ X2 )
      | ( happens @ tapOff @ ( sk__1 @ X2 @ X1 @ X0 ) )
      | ~ ( stoppedIn @ X0 @ X1 @ X2 ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl792,zip_derived_cl3]) ).

thf(zip_derived_cl1509,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( happens @ tapOff @ ( sk__1 @ X2 @ X1 @ X0 ) )
      | ~ ( stoppedIn @ X0 @ X1 @ X2 )
      | ( ( sk_ @ X2 @ X1 @ X0 )
        = overflow ) ),
    inference(simplify,[status(thm)],[zip_derived_cl1506]) ).

thf(zip_derived_cl883_079,plain,
    ! [X0: $i,X1: $i] :
      ( ( X0 = tapOn )
      | ~ ( happens @ X0 @ X1 )
      | ( X0 = overflow ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl577,zip_derived_cl55]) ).

thf(zip_derived_cl7189,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( ( sk_ @ X2 @ X1 @ X0 )
        = overflow )
      | ~ ( stoppedIn @ X0 @ X1 @ X2 )
      | ( tapOff = tapOn )
      | ( tapOff = overflow ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl1509,zip_derived_cl883]) ).

thf(tapOff_not_overflow,axiom,
    tapOff != overflow ).

thf(zip_derived_cl66,plain,
    tapOff != overflow,
    inference(cnf,[status(esa)],[tapOff_not_overflow]) ).

thf(tapOff_not_tapOn,axiom,
    tapOff != tapOn ).

thf(zip_derived_cl65,plain,
    tapOff != tapOn,
    inference(cnf,[status(esa)],[tapOff_not_tapOn]) ).

thf(zip_derived_cl7195,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( ( sk_ @ X2 @ X1 @ X0 )
        = overflow )
      | ~ ( stoppedIn @ X0 @ X1 @ X2 ) ),
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl7189,zip_derived_cl66,zip_derived_cl65]) ).

thf(zip_derived_cl0_080,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( terminates @ ( sk_ @ X0 @ X1 @ X2 ) @ X1 @ ( sk__1 @ X0 @ X1 @ X2 ) )
      | ~ ( stoppedIn @ X2 @ X1 @ X0 ) ),
    inference(cnf,[status(esa)],[stoppedin_defn]) ).

thf(zip_derived_cl16037,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( stoppedIn @ X0 @ X1 @ X2 )
      | ( terminates @ overflow @ X1 @ ( sk__1 @ X2 @ X1 @ X0 ) )
      | ~ ( stoppedIn @ X0 @ X1 @ X2 ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl7195,zip_derived_cl0]) ).

thf(zip_derived_cl16039,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( terminates @ overflow @ X1 @ ( sk__1 @ X2 @ X1 @ X0 ) )
      | ~ ( stoppedIn @ X0 @ X1 @ X2 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl16037]) ).

thf(zip_derived_cl7195_081,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( ( sk_ @ X2 @ X1 @ X0 )
        = overflow )
      | ~ ( stoppedIn @ X0 @ X1 @ X2 ) ),
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl7189,zip_derived_cl66,zip_derived_cl65]) ).

thf(zip_derived_cl3_082,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( happens @ ( sk_ @ X0 @ X1 @ X2 ) @ ( sk__1 @ X0 @ X1 @ X2 ) )
      | ~ ( stoppedIn @ X2 @ X1 @ X0 ) ),
    inference(cnf,[status(esa)],[stoppedin_defn]) ).

thf(zip_derived_cl16038,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( stoppedIn @ X0 @ X1 @ X2 )
      | ( happens @ overflow @ ( sk__1 @ X2 @ X1 @ X0 ) )
      | ~ ( stoppedIn @ X0 @ X1 @ X2 ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl7195,zip_derived_cl3]) ).

thf(zip_derived_cl16040,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( happens @ overflow @ ( sk__1 @ X2 @ X1 @ X0 ) )
      | ~ ( stoppedIn @ X0 @ X1 @ X2 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl16038]) ).

thf(zip_derived_cl577_083,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( happens @ X0 @ X1 )
      | ( zip_tseitin_4 @ X1 @ X0 )
      | ( X0 = tapOn ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl60,zip_derived_cl57]) ).

thf(zip_derived_cl53_084,plain,
    ! [X0: $i,X1: $i] :
      ( ( holdsAt @ ( waterLevel @ n3 ) @ X0 )
      | ~ ( zip_tseitin_4 @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[zf_stmt_12]) ).

thf(zip_derived_cl881,plain,
    ! [X0: $i,X1: $i] :
      ( ( X0 = tapOn )
      | ~ ( happens @ X0 @ X1 )
      | ( holdsAt @ ( waterLevel @ n3 ) @ X1 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl577,zip_derived_cl53]) ).

thf(zip_derived_cl16104,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( stoppedIn @ X0 @ X1 @ X2 )
      | ( overflow = tapOn )
      | ( holdsAt @ ( waterLevel @ n3 ) @ ( sk__1 @ X2 @ X1 @ X0 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl16040,zip_derived_cl881]) ).

thf(overflow_not_tapOn,axiom,
    overflow != tapOn ).

thf(zip_derived_cl67,plain,
    overflow != tapOn,
    inference(cnf,[status(esa)],[overflow_not_tapOn]) ).

thf(zip_derived_cl16111,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( stoppedIn @ X0 @ X1 @ X2 )
      | ( holdsAt @ ( waterLevel @ n3 ) @ ( sk__1 @ X2 @ X1 @ X0 ) ) ),
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl16104,zip_derived_cl67]) ).

thf(zip_derived_cl16040_085,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( happens @ overflow @ ( sk__1 @ X2 @ X1 @ X0 ) )
      | ~ ( stoppedIn @ X0 @ X1 @ X2 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl16038]) ).

thf(zip_derived_cl16040_086,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( happens @ overflow @ ( sk__1 @ X2 @ X1 @ X0 ) )
      | ~ ( stoppedIn @ X0 @ X1 @ X2 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl16038]) ).

thf(zip_derived_cl9163_087,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( holdsAt @ ( waterLevel @ X1 ) @ X0 )
      | ~ ( happens @ overflow @ X0 )
      | ( holdsAt @ ( waterLevel @ X1 ) @ ( plus @ X0 @ n1 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl7063,zip_derived_cl20]) ).

thf(zip_derived_cl21_088,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( happens @ X0 @ X1 )
      | ~ ( terminates @ X0 @ X2 @ X1 )
      | ~ ( holdsAt @ X2 @ ( plus @ X1 @ n1 ) ) ),
    inference(cnf,[status(esa)],[happens_terminates_not_holds]) ).

thf(zip_derived_cl16317,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( happens @ overflow @ X0 )
      | ~ ( holdsAt @ ( waterLevel @ X1 ) @ X0 )
      | ~ ( happens @ X2 @ X0 )
      | ~ ( terminates @ X2 @ ( waterLevel @ X1 ) @ X0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl9163,zip_derived_cl21]) ).

thf(zip_derived_cl16400,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( ~ ( stoppedIn @ X0 @ X1 @ X2 )
      | ~ ( holdsAt @ ( waterLevel @ X3 ) @ ( sk__1 @ X2 @ X1 @ X0 ) )
      | ~ ( happens @ X4 @ ( sk__1 @ X2 @ X1 @ X0 ) )
      | ~ ( terminates @ X4 @ ( waterLevel @ X3 ) @ ( sk__1 @ X2 @ X1 @ X0 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl16040,zip_derived_cl16317]) ).

thf(zip_derived_cl22241,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ~ ( stoppedIn @ X0 @ X1 @ X2 )
      | ~ ( stoppedIn @ X0 @ X1 @ X2 )
      | ~ ( holdsAt @ ( waterLevel @ X3 ) @ ( sk__1 @ X2 @ X1 @ X0 ) )
      | ~ ( terminates @ overflow @ ( waterLevel @ X3 ) @ ( sk__1 @ X2 @ X1 @ X0 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl16040,zip_derived_cl16400]) ).

thf(zip_derived_cl22247,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ~ ( terminates @ overflow @ ( waterLevel @ X3 ) @ ( sk__1 @ X2 @ X1 @ X0 ) )
      | ~ ( holdsAt @ ( waterLevel @ X3 ) @ ( sk__1 @ X2 @ X1 @ X0 ) )
      | ~ ( stoppedIn @ X0 @ X1 @ X2 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl22241]) ).

thf(zip_derived_cl22278,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( stoppedIn @ X0 @ X1 @ X2 )
      | ~ ( terminates @ overflow @ ( waterLevel @ n3 ) @ ( sk__1 @ X2 @ X1 @ X0 ) )
      | ~ ( stoppedIn @ X0 @ X1 @ X2 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl16111,zip_derived_cl22247]) ).

thf(zip_derived_cl22285,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( terminates @ overflow @ ( waterLevel @ n3 ) @ ( sk__1 @ X2 @ X1 @ X0 ) )
      | ~ ( stoppedIn @ X0 @ X1 @ X2 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl22278]) ).

thf(zip_derived_cl22288,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( stoppedIn @ X0 @ ( waterLevel @ n3 ) @ X1 )
      | ~ ( stoppedIn @ X0 @ ( waterLevel @ n3 ) @ X1 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl16039,zip_derived_cl22285]) ).

thf(zip_derived_cl22290,plain,
    ! [X0: $i,X1: $i] :
      ~ ( stoppedIn @ X0 @ ( waterLevel @ n3 ) @ X1 ),
    inference(simplify,[status(thm)],[zip_derived_cl22288]) ).

thf(zip_derived_cl22297,plain,
    ! [X0: $i] :
      ( ~ ( holdsAt @ ( waterLevel @ n3 ) @ n3 )
      | ( releasedAt @ ( waterLevel @ n3 ) @ n4 )
      | ( holdsAt @ ( waterLevel @ n3 ) @ n4 )
      | ~ ( less @ X0 @ n3 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl1308,zip_derived_cl22290]) ).

thf(waterLevel_3,axiom,
    holdsAt @ ( waterLevel @ n3 ) @ n3 ).

thf(zip_derived_cl115,plain,
    holdsAt @ ( waterLevel @ n3 ) @ n3,
    inference(cnf,[status(esa)],[waterLevel_3]) ).

thf(waterLevel_4,conjecture,
    holdsAt @ ( waterLevel @ n3 ) @ n4 ).

thf(zf_stmt_14,negated_conjecture,
    ~ ( holdsAt @ ( waterLevel @ n3 ) @ n4 ),
    inference('cnf.neg',[status(esa)],[waterLevel_4]) ).

thf(zip_derived_cl116,plain,
    ~ ( holdsAt @ ( waterLevel @ n3 ) @ n4 ),
    inference(cnf,[status(esa)],[zf_stmt_14]) ).

thf(zip_derived_cl22325,plain,
    ! [X0: $i] :
      ( ( releasedAt @ ( waterLevel @ n3 ) @ n4 )
      | ~ ( less @ X0 @ n3 ) ),
    inference(demod,[status(thm)],[zip_derived_cl22297,zip_derived_cl115,zip_derived_cl116]) ).

thf(zip_derived_cl22348,plain,
    releasedAt @ ( waterLevel @ n3 ) @ n4,
    inference('s_sup-',[status(thm)],[zip_derived_cl1118,zip_derived_cl22325]) ).

thf(zip_derived_cl22348_089,plain,
    releasedAt @ ( waterLevel @ n3 ) @ n4,
    inference('s_sup-',[status(thm)],[zip_derived_cl1118,zip_derived_cl22325]) ).

thf(zip_derived_cl18_090,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( releasedAt @ X0 @ ( plus @ X1 @ n1 ) )
      | ( happens @ ( sk__7 @ X1 @ X0 ) @ X1 )
      | ( releasedAt @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[keep_not_released]) ).

thf(zip_derived_cl79_091,plain,
    ( ( plus @ n1 @ n3 )
    = n4 ),
    inference(cnf,[status(esa)],[plus1_3]) ).

thf(zip_derived_cl83_092,plain,
    ! [X0: $i,X1: $i] :
      ( ( plus @ X1 @ X0 )
      = ( plus @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[symmetry_of_plus]) ).

thf(zip_derived_cl24_093,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( happens @ X0 @ X1 )
      | ~ ( initiates @ X0 @ X2 @ X1 )
      | ~ ( releasedAt @ X2 @ ( plus @ X1 @ n1 ) ) ),
    inference(cnf,[status(esa)],[happens_not_released]) ).

thf(zip_derived_cl772,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( happens @ X2 @ X0 )
      | ~ ( initiates @ X2 @ X1 @ X0 )
      | ~ ( releasedAt @ X1 @ ( plus @ n1 @ X0 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl83,zip_derived_cl24]) ).

thf(zip_derived_cl1480,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( happens @ X1 @ n3 )
      | ~ ( initiates @ X1 @ X0 @ n3 )
      | ~ ( releasedAt @ X0 @ n4 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl79,zip_derived_cl772]) ).

thf(zip_derived_cl4538,plain,
    ! [X0: $i,X1: $i] :
      ( ( releasedAt @ X0 @ n3 )
      | ~ ( releasedAt @ X0 @ ( plus @ n3 @ n1 ) )
      | ~ ( initiates @ ( sk__7 @ n3 @ X0 ) @ X1 @ n3 )
      | ~ ( releasedAt @ X1 @ n4 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl18,zip_derived_cl1480]) ).

thf(zip_derived_cl83_094,plain,
    ! [X0: $i,X1: $i] :
      ( ( plus @ X1 @ X0 )
      = ( plus @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[symmetry_of_plus]) ).

thf(zip_derived_cl79_095,plain,
    ( ( plus @ n1 @ n3 )
    = n4 ),
    inference(cnf,[status(esa)],[plus1_3]) ).

thf(zip_derived_cl4542,plain,
    ! [X0: $i,X1: $i] :
      ( ( releasedAt @ X0 @ n3 )
      | ~ ( releasedAt @ X0 @ n4 )
      | ~ ( initiates @ ( sk__7 @ n3 @ X0 ) @ X1 @ n3 )
      | ~ ( releasedAt @ X1 @ n4 ) ),
    inference(demod,[status(thm)],[zip_derived_cl4538,zip_derived_cl83,zip_derived_cl79]) ).

thf(zip_derived_cl26478,plain,
    ! [X0: $i] :
      ( ( releasedAt @ ( waterLevel @ n3 ) @ n3 )
      | ~ ( initiates @ ( sk__7 @ n3 @ ( waterLevel @ n3 ) ) @ X0 @ n3 )
      | ~ ( releasedAt @ X0 @ n4 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl22348,zip_derived_cl4542]) ).

thf(zip_derived_cl26639,plain,
    ( ( releasedAt @ ( waterLevel @ n3 ) @ n3 )
    | ~ ( initiates @ ( sk__7 @ n3 @ ( waterLevel @ n3 ) ) @ ( waterLevel @ n3 ) @ n3 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl22348,zip_derived_cl26478]) ).

thf(zip_derived_cl26644,plain,
    ( ( n3 = n0 )
    | ~ ( releasedAt @ ( waterLevel @ n3 ) @ ( plus @ n3 @ n1 ) )
    | ( releasedAt @ ( waterLevel @ n3 ) @ n3 )
    | ( releasedAt @ ( waterLevel @ n3 ) @ n3 )
    | ~ ( initiates @ overflow @ ( waterLevel @ n3 ) @ n3 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl1110,zip_derived_cl26639]) ).

thf(zip_derived_cl83_096,plain,
    ! [X0: $i,X1: $i] :
      ( ( plus @ X1 @ X0 )
      = ( plus @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[symmetry_of_plus]) ).

thf(zip_derived_cl79_097,plain,
    ( ( plus @ n1 @ n3 )
    = n4 ),
    inference(cnf,[status(esa)],[plus1_3]) ).

thf(zip_derived_cl22348_098,plain,
    releasedAt @ ( waterLevel @ n3 ) @ n4,
    inference('s_sup-',[status(thm)],[zip_derived_cl1118,zip_derived_cl22325]) ).

thf(zip_derived_cl26647,plain,
    ( ( n3 = n0 )
    | ( releasedAt @ ( waterLevel @ n3 ) @ n3 )
    | ( releasedAt @ ( waterLevel @ n3 ) @ n3 )
    | ~ ( initiates @ overflow @ ( waterLevel @ n3 ) @ n3 ) ),
    inference(demod,[status(thm)],[zip_derived_cl26644,zip_derived_cl83,zip_derived_cl79,zip_derived_cl22348]) ).

thf(zip_derived_cl26648,plain,
    ( ~ ( initiates @ overflow @ ( waterLevel @ n3 ) @ n3 )
    | ( releasedAt @ ( waterLevel @ n3 ) @ n3 )
    | ( n3 = n0 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl26647]) ).

thf(zip_derived_cl675_099,plain,
    ! [X0: $i] :
      ( ( X0 != n0 )
      | ( less @ X0 @ n1 ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl86,zip_derived_cl89]) ).

thf(zip_derived_cl108_100,plain,
    ! [X0: $i,X1: $i] :
      ( ( less @ X0 @ X1 )
      | ( X1 = X0 )
      | ( less @ X1 @ X0 ) ),
    inference(cnf,[status(esa)],[less_property]) ).

thf(zip_derived_cl708_101,plain,
    ~ ( less @ n2 @ n1 ),
    inference(eq_res,[status(thm)],[zip_derived_cl703]) ).

thf(zip_derived_cl833,plain,
    ( ( less @ n1 @ n2 )
    | ( n1 = n2 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl108,zip_derived_cl708]) ).

thf(zip_derived_cl676_102,plain,
    ! [X0: $i] :
      ( ( X0 != n1 )
      | ( less @ X0 @ n2 ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl86,zip_derived_cl91]) ).

thf(zip_derived_cl684_103,plain,
    ! [X0: $i] :
      ~ ( less @ X0 @ X0 ),
    inference(eq_res,[status(thm)],[zip_derived_cl107]) ).

thf(zip_derived_cl704,plain,
    n2 != n1,
    inference('s_sup-',[status(thm)],[zip_derived_cl676,zip_derived_cl684]) ).

thf(zip_derived_cl852,plain,
    less @ n1 @ n2,
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl833,zip_derived_cl704]) ).

thf(zip_derived_cl668_104,plain,
    ! [X0: $i] :
      ( ~ ( less @ X0 @ n2 )
      | ( less @ X0 @ n3 ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl85,zip_derived_cl93]) ).

thf(zip_derived_cl1116,plain,
    less @ n1 @ n3,
    inference('s_sup-',[status(thm)],[zip_derived_cl852,zip_derived_cl668]) ).

thf(zip_derived_cl106_105,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( less @ X0 @ X1 )
      | ~ ( less @ X1 @ X0 ) ),
    inference(cnf,[status(esa)],[less_property]) ).

thf(zip_derived_cl1125,plain,
    ~ ( less @ n3 @ n1 ),
    inference('s_sup-',[status(thm)],[zip_derived_cl1116,zip_derived_cl106]) ).

thf(zip_derived_cl1129,plain,
    n3 != n0,
    inference('s_sup-',[status(thm)],[zip_derived_cl675,zip_derived_cl1125]) ).

thf(zip_derived_cl26649,plain,
    ( ~ ( initiates @ overflow @ ( waterLevel @ n3 ) @ n3 )
    | ( releasedAt @ ( waterLevel @ n3 ) @ n3 ) ),
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl26648,zip_derived_cl1129]) ).

thf(zip_derived_cl26709,plain,
    ( ~ ( holdsAt @ ( waterLevel @ n3 ) @ n3 )
    | ( releasedAt @ ( waterLevel @ n3 ) @ n3 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl7063,zip_derived_cl26649]) ).

thf(zip_derived_cl115_106,plain,
    holdsAt @ ( waterLevel @ n3 ) @ n3,
    inference(cnf,[status(esa)],[waterLevel_3]) ).

thf(zip_derived_cl26711,plain,
    releasedAt @ ( waterLevel @ n3 ) @ n3,
    inference(demod,[status(thm)],[zip_derived_cl26709,zip_derived_cl115]) ).

thf(zip_derived_cl78_107,plain,
    ( ( plus @ n1 @ n2 )
    = n3 ),
    inference(cnf,[status(esa)],[plus1_2]) ).

thf(zip_derived_cl83_108,plain,
    ! [X0: $i,X1: $i] :
      ( ( plus @ X1 @ X0 )
      = ( plus @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[symmetry_of_plus]) ).

thf(zip_derived_cl1110_109,plain,
    ! [X0: $i,X1: $i] :
      ( ( releasedAt @ X1 @ X0 )
      | ~ ( releasedAt @ X1 @ ( plus @ X0 @ n1 ) )
      | ( X0 = n0 )
      | ( ( sk__7 @ X0 @ X1 )
        = overflow ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl18,zip_derived_cl889]) ).

thf(zip_derived_cl584_110,plain,
    ! [X0: $i,X1: $i] :
      ( ( releasedAt @ X1 @ X0 )
      | ~ ( releasedAt @ X1 @ ( plus @ X0 @ n1 ) )
      | ( ( sk__7 @ X0 @ X1 )
        = tapOn ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl19,zip_derived_cl50]) ).

thf(zip_derived_cl3894,plain,
    ! [X0: $i,X1: $i] :
      ( ( X1 = n0 )
      | ~ ( releasedAt @ X0 @ ( plus @ X1 @ n1 ) )
      | ( releasedAt @ X0 @ X1 )
      | ( releasedAt @ X0 @ X1 )
      | ~ ( releasedAt @ X0 @ ( plus @ X1 @ n1 ) )
      | ( overflow = tapOn ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl1110,zip_derived_cl584]) ).

thf(zip_derived_cl3896,plain,
    ! [X0: $i,X1: $i] :
      ( ( overflow = tapOn )
      | ( releasedAt @ X0 @ X1 )
      | ~ ( releasedAt @ X0 @ ( plus @ X1 @ n1 ) )
      | ( X1 = n0 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl3894]) ).

thf(zip_derived_cl67_111,plain,
    overflow != tapOn,
    inference(cnf,[status(esa)],[overflow_not_tapOn]) ).

thf(zip_derived_cl3897,plain,
    ! [X0: $i,X1: $i] :
      ( ( releasedAt @ X0 @ X1 )
      | ~ ( releasedAt @ X0 @ ( plus @ X1 @ n1 ) )
      | ( X1 = n0 ) ),
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl3896,zip_derived_cl67]) ).

thf(zip_derived_cl42940,plain,
    ! [X0: $i,X1: $i] :
      ( ( releasedAt @ X1 @ X0 )
      | ~ ( releasedAt @ X1 @ ( plus @ n1 @ X0 ) )
      | ( X0 = n0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl83,zip_derived_cl3897]) ).

thf(zip_derived_cl47051,plain,
    ! [X0: $i] :
      ( ( releasedAt @ X0 @ n2 )
      | ~ ( releasedAt @ X0 @ n3 )
      | ( n2 = n0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl78,zip_derived_cl42940]) ).

thf(zip_derived_cl709_112,plain,
    n2 != n0,
    inference('s_sup-',[status(thm)],[zip_derived_cl675,zip_derived_cl708]) ).

thf(zip_derived_cl47074,plain,
    ! [X0: $i] :
      ( ( releasedAt @ X0 @ n2 )
      | ~ ( releasedAt @ X0 @ n3 ) ),
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl47051,zip_derived_cl709]) ).

thf(zip_derived_cl12702_113,plain,
    ! [X0: $i] :
      ( ( holdsAt @ filling @ n2 )
      | ~ ( initiates @ ( sk__4 @ n1 @ filling ) @ X0 @ n1 )
      | ~ ( releasedAt @ X0 @ n2 ) ),
    inference(demod,[status(thm)],[zip_derived_cl12690,zip_derived_cl9586]) ).

thf(zip_derived_cl47103,plain,
    ! [X0: $i] :
      ( ~ ( releasedAt @ X0 @ n3 )
      | ( holdsAt @ filling @ n2 )
      | ~ ( initiates @ ( sk__4 @ n1 @ filling ) @ X0 @ n1 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl47074,zip_derived_cl12702]) ).

thf(zip_derived_cl47794,plain,
    ( ( holdsAt @ filling @ n2 )
    | ~ ( initiates @ ( sk__4 @ n1 @ filling ) @ ( waterLevel @ n3 ) @ n1 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl26711,zip_derived_cl47103]) ).

thf(zip_derived_cl47913,plain,
    ( ( n1 = n0 )
    | ( holdsAt @ filling @ ( plus @ n1 @ n1 ) )
    | ( releasedAt @ filling @ ( plus @ n1 @ n1 ) )
    | ~ ( holdsAt @ filling @ n1 )
    | ( holdsAt @ filling @ n2 )
    | ~ ( initiates @ overflow @ ( waterLevel @ n3 ) @ n1 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl1107,zip_derived_cl47794]) ).

thf(zip_derived_cl77_114,plain,
    ( ( plus @ n1 @ n1 )
    = n2 ),
    inference(cnf,[status(esa)],[plus1_1]) ).

thf(zip_derived_cl77_115,plain,
    ( ( plus @ n1 @ n1 )
    = n2 ),
    inference(cnf,[status(esa)],[plus1_1]) ).

thf(zip_derived_cl9586_116,plain,
    ~ ( releasedAt @ filling @ n2 ),
    inference(demod,[status(thm)],[zip_derived_cl9585,zip_derived_cl9286]) ).

thf(zip_derived_cl12683_117,plain,
    holdsAt @ filling @ n1,
    inference(demod,[status(thm)],[zip_derived_cl12681,zip_derived_cl74]) ).

thf(zip_derived_cl47922,plain,
    ( ( n1 = n0 )
    | ( holdsAt @ filling @ n2 )
    | ( holdsAt @ filling @ n2 )
    | ~ ( initiates @ overflow @ ( waterLevel @ n3 ) @ n1 ) ),
    inference(demod,[status(thm)],[zip_derived_cl47913,zip_derived_cl77,zip_derived_cl77,zip_derived_cl9586,zip_derived_cl12683]) ).

thf(zip_derived_cl47923,plain,
    ( ~ ( initiates @ overflow @ ( waterLevel @ n3 ) @ n1 )
    | ( holdsAt @ filling @ n2 )
    | ( n1 = n0 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl47922]) ).

thf(zip_derived_cl696_118,plain,
    n1 != n0,
    inference('s_sup-',[status(thm)],[zip_derived_cl675,zip_derived_cl684]) ).

thf(zip_derived_cl47924,plain,
    ( ~ ( initiates @ overflow @ ( waterLevel @ n3 ) @ n1 )
    | ( holdsAt @ filling @ n2 ) ),
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl47923,zip_derived_cl696]) ).

thf(zip_derived_cl48001,plain,
    ( ~ ( holdsAt @ ( waterLevel @ n3 ) @ n1 )
    | ( holdsAt @ filling @ n2 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl7063,zip_derived_cl47924]) ).

thf(zip_derived_cl50258,plain,
    ! [X0: $i] :
      ( ~ ( initiates @ ( sk__4 @ n1 @ filling ) @ X0 @ n1 )
      | ( holdsAt @ filling @ n2 )
      | ~ ( releasedAt @ X0 @ n1 ) ),
    inference(clc,[status(thm)],[zip_derived_cl24727,zip_derived_cl48001]) ).

thf(zip_derived_cl50264,plain,
    ! [X0: $i] :
      ( ~ ( initiates @ ( sk__4 @ n1 @ filling ) @ ( waterLevel @ X0 ) @ n1 )
      | ( holdsAt @ filling @ n2 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl9443,zip_derived_cl50258]) ).

thf(zip_derived_cl50464,plain,
    ! [X0: $i] :
      ( ( n1 = n0 )
      | ( holdsAt @ filling @ ( plus @ n1 @ n1 ) )
      | ( releasedAt @ filling @ ( plus @ n1 @ n1 ) )
      | ~ ( holdsAt @ filling @ n1 )
      | ~ ( initiates @ overflow @ ( waterLevel @ X0 ) @ n1 )
      | ( holdsAt @ filling @ n2 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl1107,zip_derived_cl50264]) ).

thf(zip_derived_cl77_119,plain,
    ( ( plus @ n1 @ n1 )
    = n2 ),
    inference(cnf,[status(esa)],[plus1_1]) ).

thf(zip_derived_cl77_120,plain,
    ( ( plus @ n1 @ n1 )
    = n2 ),
    inference(cnf,[status(esa)],[plus1_1]) ).

thf(zip_derived_cl9586_121,plain,
    ~ ( releasedAt @ filling @ n2 ),
    inference(demod,[status(thm)],[zip_derived_cl9585,zip_derived_cl9286]) ).

thf(zip_derived_cl12683_122,plain,
    holdsAt @ filling @ n1,
    inference(demod,[status(thm)],[zip_derived_cl12681,zip_derived_cl74]) ).

thf(zip_derived_cl50473,plain,
    ! [X0: $i] :
      ( ( n1 = n0 )
      | ( holdsAt @ filling @ n2 )
      | ~ ( initiates @ overflow @ ( waterLevel @ X0 ) @ n1 )
      | ( holdsAt @ filling @ n2 ) ),
    inference(demod,[status(thm)],[zip_derived_cl50464,zip_derived_cl77,zip_derived_cl77,zip_derived_cl9586,zip_derived_cl12683]) ).

thf(zip_derived_cl50474,plain,
    ! [X0: $i] :
      ( ~ ( initiates @ overflow @ ( waterLevel @ X0 ) @ n1 )
      | ( holdsAt @ filling @ n2 )
      | ( n1 = n0 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl50473]) ).

thf(zip_derived_cl696_123,plain,
    n1 != n0,
    inference('s_sup-',[status(thm)],[zip_derived_cl675,zip_derived_cl684]) ).

thf(zip_derived_cl50475,plain,
    ! [X0: $i] :
      ( ~ ( initiates @ overflow @ ( waterLevel @ X0 ) @ n1 )
      | ( holdsAt @ filling @ n2 ) ),
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl50474,zip_derived_cl696]) ).

thf(zip_derived_cl50486,plain,
    ! [X0: $i] :
      ( ~ ( holdsAt @ ( waterLevel @ X0 ) @ n1 )
      | ( holdsAt @ filling @ n2 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl7063,zip_derived_cl50475]) ).

thf(zip_derived_cl50498,plain,
    holdsAt @ filling @ n2,
    inference('s_sup-',[status(thm)],[zip_derived_cl13124,zip_derived_cl50486]) ).

thf(zip_derived_cl108_124,plain,
    ! [X0: $i,X1: $i] :
      ( ( less @ X0 @ X1 )
      | ( X1 = X0 )
      | ( less @ X1 @ X0 ) ),
    inference(cnf,[status(esa)],[less_property]) ).

thf(zip_derived_cl108_125,plain,
    ! [X0: $i,X1: $i] :
      ( ( less @ X0 @ X1 )
      | ( X1 = X0 )
      | ( less @ X1 @ X0 ) ),
    inference(cnf,[status(esa)],[less_property]) ).

thf(zip_derived_cl85_126,plain,
    ! [X0: $i,X1: $i] :
      ( ( less_or_equal @ X0 @ X1 )
      | ~ ( less @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[less_or_equal]) ).

thf(zip_derived_cl91_127,plain,
    ! [X0: $i] :
      ( ( less @ X0 @ n2 )
      | ~ ( less_or_equal @ X0 @ n1 ) ),
    inference(cnf,[status(esa)],[less2]) ).

thf(zip_derived_cl667,plain,
    ! [X0: $i] :
      ( ~ ( less @ X0 @ n1 )
      | ( less @ X0 @ n2 ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl85,zip_derived_cl91]) ).

thf(zip_derived_cl106_128,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( less @ X0 @ X1 )
      | ~ ( less @ X1 @ X0 ) ),
    inference(cnf,[status(esa)],[less_property]) ).

thf(zip_derived_cl1147,plain,
    ! [X0: $i] :
      ( ~ ( less @ X0 @ n1 )
      | ~ ( less @ n2 @ X0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl667,zip_derived_cl106]) ).

thf(zip_derived_cl1351,plain,
    ! [X0: $i] :
      ( ( X0 = n1 )
      | ( less @ n1 @ X0 )
      | ~ ( less @ n2 @ X0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl108,zip_derived_cl1147]) ).

thf(zip_derived_cl703_129,plain,
    ! [X0: $i] :
      ( ( X0 != n1 )
      | ~ ( less @ n2 @ X0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl676,zip_derived_cl106]) ).

thf(zip_derived_cl6577,plain,
    ! [X0: $i] :
      ( ~ ( less @ n2 @ X0 )
      | ( less @ n1 @ X0 ) ),
    inference(clc,[status(thm)],[zip_derived_cl1351,zip_derived_cl703]) ).

thf(zip_derived_cl6578,plain,
    ! [X0: $i] :
      ( ( n2 = X0 )
      | ( less @ X0 @ n2 )
      | ( less @ n1 @ X0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl108,zip_derived_cl6577]) ).

thf(zip_derived_cl87_130,plain,
    ! [X0: $i] :
      ~ ( less @ X0 @ n0 ),
    inference(cnf,[status(esa)],[less0]) ).

thf(zip_derived_cl72925,plain,
    ( ( less @ n0 @ n2 )
    | ( n2 = n0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl6578,zip_derived_cl87]) ).

thf(zip_derived_cl709_131,plain,
    n2 != n0,
    inference('s_sup-',[status(thm)],[zip_derived_cl675,zip_derived_cl708]) ).

thf(zip_derived_cl73149,plain,
    less @ n0 @ n2,
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl72925,zip_derived_cl709]) ).

thf(zip_derived_cl1311_132,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( less @ X0 @ n2 )
      | ( stoppedIn @ X0 @ X1 @ n4 )
      | ( holdsAt @ X1 @ n3 )
      | ( releasedAt @ X1 @ n3 )
      | ~ ( holdsAt @ X1 @ n2 ) ),
    inference(demod,[status(thm)],[zip_derived_cl1296,zip_derived_cl83,zip_derived_cl78,zip_derived_cl83,zip_derived_cl78]) ).

thf(zip_derived_cl1_133,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( less @ ( sk__1 @ X0 @ X1 @ X2 ) @ X0 )
      | ~ ( stoppedIn @ X2 @ X1 @ X0 ) ),
    inference(cnf,[status(esa)],[stoppedin_defn]) ).

thf(zip_derived_cl108_134,plain,
    ! [X0: $i,X1: $i] :
      ( ( less @ X0 @ X1 )
      | ( X1 = X0 )
      | ( less @ X1 @ X0 ) ),
    inference(cnf,[status(esa)],[less_property]) ).

thf(zip_derived_cl94,plain,
    ! [X0: $i] :
      ( ( less_or_equal @ X0 @ n3 )
      | ~ ( less @ X0 @ n4 ) ),
    inference(cnf,[status(esa)],[less4]) ).

thf(zip_derived_cl84_135,plain,
    ! [X0: $i,X1: $i] :
      ( ( X1 = X0 )
      | ( less @ X1 @ X0 )
      | ~ ( less_or_equal @ X1 @ X0 ) ),
    inference(cnf,[status(esa)],[less_or_equal]) ).

thf(zip_derived_cl660,plain,
    ! [X0: $i] :
      ( ~ ( less @ X0 @ n4 )
      | ( less @ X0 @ n3 )
      | ( X0 = n3 ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl94,zip_derived_cl84]) ).

thf(zip_derived_cl964,plain,
    ! [X0: $i] :
      ( ( X0 = n4 )
      | ( less @ n4 @ X0 )
      | ( less @ X0 @ n3 )
      | ( X0 = n3 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl108,zip_derived_cl660]) ).

thf(zip_derived_cl106_136,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( less @ X0 @ X1 )
      | ~ ( less @ X1 @ X0 ) ),
    inference(cnf,[status(esa)],[less_property]) ).

thf(zip_derived_cl2513,plain,
    ! [X0: $i] :
      ( ( X0 = n3 )
      | ( less @ n4 @ X0 )
      | ( X0 = n4 )
      | ~ ( less @ n3 @ X0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl964,zip_derived_cl106]) ).

thf(zip_derived_cl107_137,plain,
    ! [X0: $i,X1: $i] :
      ( ( X1 != X0 )
      | ~ ( less @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[less_property]) ).

thf(zip_derived_cl11337,plain,
    ! [X0: $i] :
      ( ~ ( less @ n3 @ X0 )
      | ( X0 = n4 )
      | ( less @ n4 @ X0 ) ),
    inference(clc,[status(thm)],[zip_derived_cl2513,zip_derived_cl107]) ).

thf(zip_derived_cl106_138,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( less @ X0 @ X1 )
      | ~ ( less @ X1 @ X0 ) ),
    inference(cnf,[status(esa)],[less_property]) ).

thf(zip_derived_cl11338,plain,
    ! [X0: $i] :
      ( ( X0 = n4 )
      | ~ ( less @ n3 @ X0 )
      | ~ ( less @ X0 @ n4 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl11337,zip_derived_cl106]) ).

thf(zip_derived_cl107_139,plain,
    ! [X0: $i,X1: $i] :
      ( ( X1 != X0 )
      | ~ ( less @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[less_property]) ).

thf(zip_derived_cl11604,plain,
    ! [X0: $i] :
      ( ~ ( less @ X0 @ n4 )
      | ~ ( less @ n3 @ X0 ) ),
    inference(clc,[status(thm)],[zip_derived_cl11338,zip_derived_cl107]) ).

thf(zip_derived_cl11626,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( stoppedIn @ X0 @ X1 @ n4 )
      | ~ ( less @ n3 @ ( sk__1 @ n4 @ X1 @ X0 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl1,zip_derived_cl11604]) ).

thf(zip_derived_cl11693,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( holdsAt @ X0 @ n2 )
      | ( releasedAt @ X0 @ n3 )
      | ( holdsAt @ X0 @ n3 )
      | ~ ( less @ X1 @ n2 )
      | ~ ( less @ n3 @ ( sk__1 @ n4 @ X0 @ X1 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl1311,zip_derived_cl11626]) ).

thf(zip_derived_cl114225,plain,
    ! [X0: $i] :
      ( ~ ( holdsAt @ X0 @ n2 )
      | ( releasedAt @ X0 @ n3 )
      | ( holdsAt @ X0 @ n3 )
      | ~ ( less @ n3 @ ( sk__1 @ n4 @ X0 @ n0 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl73149,zip_derived_cl11693]) ).

thf(zip_derived_cl114376,plain,
    ( ( releasedAt @ filling @ n3 )
    | ( holdsAt @ filling @ n3 )
    | ~ ( less @ n3 @ ( sk__1 @ n4 @ filling @ n0 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl50498,zip_derived_cl114225]) ).

thf(zip_derived_cl78_140,plain,
    ( ( plus @ n1 @ n2 )
    = n3 ),
    inference(cnf,[status(esa)],[plus1_2]) ).

thf(zip_derived_cl83_141,plain,
    ! [X0: $i,X1: $i] :
      ( ( plus @ X1 @ X0 )
      = ( plus @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[symmetry_of_plus]) ).

thf(zip_derived_cl585_142,plain,
    ! [X0: $i,X1: $i] :
      ( ( releasedAt @ X1 @ X0 )
      | ~ ( releasedAt @ X1 @ ( plus @ X0 @ n1 ) )
      | ( X1
        = ( waterLevel @ ( sk__10 @ X1 ) ) ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl19,zip_derived_cl51]) ).

thf(zip_derived_cl907,plain,
    ! [X0: $i,X1: $i] :
      ( ( releasedAt @ X1 @ X0 )
      | ~ ( releasedAt @ X1 @ ( plus @ n1 @ X0 ) )
      | ( X1
        = ( waterLevel @ ( sk__10 @ X1 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl83,zip_derived_cl585]) ).

thf(zip_derived_cl1808,plain,
    ! [X0: $i] :
      ( ( releasedAt @ X0 @ n2 )
      | ~ ( releasedAt @ X0 @ n3 )
      | ( X0
        = ( waterLevel @ ( sk__10 @ X0 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl78,zip_derived_cl907]) ).

thf(zip_derived_cl68_143,plain,
    ! [X0: $i] :
      ( filling
     != ( waterLevel @ X0 ) ),
    inference(cnf,[status(esa)],[filling_not_waterLevel]) ).

thf(zip_derived_cl9231,plain,
    ! [X0: $i] :
      ( ~ ( releasedAt @ X0 @ n3 )
      | ( releasedAt @ X0 @ n2 )
      | ( filling != X0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl1808,zip_derived_cl68]) ).

thf(zip_derived_cl9586_144,plain,
    ~ ( releasedAt @ filling @ n2 ),
    inference(demod,[status(thm)],[zip_derived_cl9585,zip_derived_cl9286]) ).

thf(zip_derived_cl12206,plain,
    ( ( filling != filling )
    | ~ ( releasedAt @ filling @ n3 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl9231,zip_derived_cl9586]) ).

thf(zip_derived_cl12210,plain,
    ~ ( releasedAt @ filling @ n3 ),
    inference(simplify,[status(thm)],[zip_derived_cl12206]) ).

thf(zip_derived_cl114379,plain,
    ( ( holdsAt @ filling @ n3 )
    | ~ ( less @ n3 @ ( sk__1 @ n4 @ filling @ n0 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl114376,zip_derived_cl12210]) ).

thf(zip_derived_cl114387,plain,
    ( ( ( sk__1 @ n4 @ filling @ n0 )
      = n1 )
    | ( ( sk__1 @ n4 @ filling @ n0 )
      = n2 )
    | ( ( sk__1 @ n4 @ filling @ n0 )
      = n0 )
    | ( ( sk__1 @ n4 @ filling @ n0 )
      = n3 )
    | ( holdsAt @ filling @ n3 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl21493,zip_derived_cl114379]) ).

thf(zip_derived_cl16040_145,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( happens @ overflow @ ( sk__1 @ X2 @ X1 @ X0 ) )
      | ~ ( stoppedIn @ X0 @ X1 @ X2 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl16038]) ).

thf(zip_derived_cl115092,plain,
    ( ( holdsAt @ filling @ n3 )
    | ( ( sk__1 @ n4 @ filling @ n0 )
      = n3 )
    | ( ( sk__1 @ n4 @ filling @ n0 )
      = n0 )
    | ( ( sk__1 @ n4 @ filling @ n0 )
      = n1 )
    | ( happens @ overflow @ n2 )
    | ~ ( stoppedIn @ n0 @ filling @ n4 ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl114387,zip_derived_cl16040]) ).

thf(zip_derived_cl675_146,plain,
    ! [X0: $i] :
      ( ( X0 != n0 )
      | ( less @ X0 @ n1 ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl86,zip_derived_cl89]) ).

thf(zip_derived_cl2_147,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( less @ X0 @ ( sk__1 @ X1 @ X2 @ X0 ) )
      | ~ ( stoppedIn @ X0 @ X2 @ X1 ) ),
    inference(cnf,[status(esa)],[stoppedin_defn]) ).

thf(zip_derived_cl16040_148,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( happens @ overflow @ ( sk__1 @ X2 @ X1 @ X0 ) )
      | ~ ( stoppedIn @ X0 @ X1 @ X2 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl16038]) ).

thf(zip_derived_cl49_149,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( terminates @ X0 @ X1 @ X2 )
      | ( X0 != overflow )
      | ( X1 != filling ) ),
    inference(cnf,[status(esa)],[terminates_all_defn]) ).

thf(zip_derived_cl4_150,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( ( stoppedIn @ X0 @ X1 @ X2 )
      | ~ ( happens @ X3 @ X4 )
      | ~ ( less @ X0 @ X4 )
      | ~ ( less @ X4 @ X2 )
      | ~ ( terminates @ X3 @ X1 @ X4 ) ),
    inference(cnf,[status(esa)],[stoppedin_defn]) ).

thf(zip_derived_cl760,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( ( X1 != filling )
      | ( X2 != overflow )
      | ( stoppedIn @ X4 @ X1 @ X3 )
      | ~ ( happens @ X2 @ X0 )
      | ~ ( less @ X4 @ X0 )
      | ~ ( less @ X0 @ X3 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl49,zip_derived_cl4]) ).

thf(zip_derived_cl1428,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ~ ( less @ X1 @ X0 )
      | ~ ( less @ X2 @ X1 )
      | ~ ( happens @ X3 @ X1 )
      | ( stoppedIn @ X2 @ filling @ X0 )
      | ( X3 != overflow ) ),
    inference(eq_res,[status(thm)],[zip_derived_cl760]) ).

thf(zip_derived_cl6945,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( stoppedIn @ X1 @ filling @ X0 )
      | ~ ( happens @ overflow @ X2 )
      | ~ ( less @ X1 @ X2 )
      | ~ ( less @ X2 @ X0 ) ),
    inference(eq_res,[status(thm)],[zip_derived_cl1428]) ).

thf(zip_derived_cl24600,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( ~ ( stoppedIn @ X0 @ X1 @ X2 )
      | ( stoppedIn @ X4 @ filling @ X3 )
      | ~ ( less @ X4 @ ( sk__1 @ X2 @ X1 @ X0 ) )
      | ~ ( less @ ( sk__1 @ X2 @ X1 @ X0 ) @ X3 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl16040,zip_derived_cl6945]) ).

thf(zip_derived_cl94705,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ~ ( stoppedIn @ X0 @ X1 @ X2 )
      | ~ ( stoppedIn @ X0 @ X1 @ X2 )
      | ( stoppedIn @ X0 @ filling @ X3 )
      | ~ ( less @ ( sk__1 @ X2 @ X1 @ X0 ) @ X3 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl2,zip_derived_cl24600]) ).

thf(zip_derived_cl94768,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ~ ( less @ ( sk__1 @ X2 @ X1 @ X0 ) @ X3 )
      | ( stoppedIn @ X0 @ filling @ X3 )
      | ~ ( stoppedIn @ X0 @ X1 @ X2 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl94705]) ).

thf(zip_derived_cl95013,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( ( sk__1 @ X2 @ X1 @ X0 )
       != n0 )
      | ( stoppedIn @ X0 @ filling @ n1 )
      | ~ ( stoppedIn @ X0 @ X1 @ X2 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl675,zip_derived_cl94768]) ).

thf(zip_derived_cl3039_151,plain,
    ! [X0: $i,X1: $i] :
      ~ ( stoppedIn @ X0 @ X1 @ n1 ),
    inference(simplify,[status(thm)],[zip_derived_cl3038]) ).

thf(zip_derived_cl95113,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( ( sk__1 @ X2 @ X1 @ X0 )
       != n0 )
      | ~ ( stoppedIn @ X0 @ X1 @ X2 ) ),
    inference(demod,[status(thm)],[zip_derived_cl95013,zip_derived_cl3039]) ).

thf(zip_derived_cl123939,plain,
    ( ~ ( stoppedIn @ n0 @ filling @ n4 )
    | ( happens @ overflow @ n2 )
    | ( ( sk__1 @ n4 @ filling @ n0 )
      = n1 )
    | ( ( sk__1 @ n4 @ filling @ n0 )
      = n3 )
    | ( holdsAt @ filling @ n3 ) ),
    inference(clc,[status(thm)],[zip_derived_cl115092,zip_derived_cl95113]) ).

thf(zip_derived_cl676_152,plain,
    ! [X0: $i] :
      ( ( X0 != n1 )
      | ( less @ X0 @ n2 ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl86,zip_derived_cl91]) ).

thf(zip_derived_cl94768_153,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ~ ( less @ ( sk__1 @ X2 @ X1 @ X0 ) @ X3 )
      | ( stoppedIn @ X0 @ filling @ X3 )
      | ~ ( stoppedIn @ X0 @ X1 @ X2 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl94705]) ).

thf(zip_derived_cl95024,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( ( sk__1 @ X2 @ X1 @ X0 )
       != n1 )
      | ( stoppedIn @ X0 @ filling @ n2 )
      | ~ ( stoppedIn @ X0 @ X1 @ X2 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl676,zip_derived_cl94768]) ).

thf(zip_derived_cl1_154,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( less @ ( sk__1 @ X0 @ X1 @ X2 ) @ X0 )
      | ~ ( stoppedIn @ X2 @ X1 @ X0 ) ),
    inference(cnf,[status(esa)],[stoppedin_defn]) ).

thf(zip_derived_cl658_155,plain,
    ! [X0: $i] :
      ( ~ ( less @ X0 @ n2 )
      | ( less @ X0 @ n1 )
      | ( X0 = n1 ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl90,zip_derived_cl84]) ).

thf(zip_derived_cl1053,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( stoppedIn @ X0 @ X1 @ n2 )
      | ( less @ ( sk__1 @ n2 @ X1 @ X0 ) @ n1 )
      | ( ( sk__1 @ n2 @ X1 @ X0 )
        = n1 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl1,zip_derived_cl658]) ).

thf(zip_derived_cl94768_156,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ~ ( less @ ( sk__1 @ X2 @ X1 @ X0 ) @ X3 )
      | ( stoppedIn @ X0 @ filling @ X3 )
      | ~ ( stoppedIn @ X0 @ X1 @ X2 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl94705]) ).

thf(zip_derived_cl95105,plain,
    ! [X0: $i,X1: $i] :
      ( ( ( sk__1 @ n2 @ X1 @ X0 )
        = n1 )
      | ~ ( stoppedIn @ X0 @ X1 @ n2 )
      | ( stoppedIn @ X0 @ filling @ n1 )
      | ~ ( stoppedIn @ X0 @ X1 @ n2 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl1053,zip_derived_cl94768]) ).

thf(zip_derived_cl3039_157,plain,
    ! [X0: $i,X1: $i] :
      ~ ( stoppedIn @ X0 @ X1 @ n1 ),
    inference(simplify,[status(thm)],[zip_derived_cl3038]) ).

thf(zip_derived_cl95116,plain,
    ! [X0: $i,X1: $i] :
      ( ( ( sk__1 @ n2 @ X1 @ X0 )
        = n1 )
      | ~ ( stoppedIn @ X0 @ X1 @ n2 )
      | ~ ( stoppedIn @ X0 @ X1 @ n2 ) ),
    inference(demod,[status(thm)],[zip_derived_cl95105,zip_derived_cl3039]) ).

thf(zip_derived_cl95117,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( stoppedIn @ X0 @ X1 @ n2 )
      | ( ( sk__1 @ n2 @ X1 @ X0 )
        = n1 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl95116]) ).

thf(zip_derived_cl16111_158,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( stoppedIn @ X0 @ X1 @ X2 )
      | ( holdsAt @ ( waterLevel @ n3 ) @ ( sk__1 @ X2 @ X1 @ X0 ) ) ),
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl16104,zip_derived_cl67]) ).

thf(zip_derived_cl95284,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( stoppedIn @ X0 @ X1 @ n2 )
      | ~ ( stoppedIn @ X0 @ X1 @ n2 )
      | ( holdsAt @ ( waterLevel @ n3 ) @ n1 ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl95117,zip_derived_cl16111]) ).

thf(zip_derived_cl115_159,plain,
    holdsAt @ ( waterLevel @ n3 ) @ n3,
    inference(cnf,[status(esa)],[waterLevel_3]) ).

thf(zip_derived_cl909_160,plain,
    ! [X0: $i] :
      ( ( releasedAt @ X0 @ n0 )
      | ~ ( releasedAt @ X0 @ n1 )
      | ( X0
        = ( waterLevel @ ( sk__10 @ X0 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl74,zip_derived_cl585]) ).

thf(zip_derived_cl13124_161,plain,
    holdsAt @ ( waterLevel @ n1 ) @ n1,
    inference(demod,[status(thm)],[zip_derived_cl13122,zip_derived_cl109]) ).

thf(same_waterLevel,axiom,
    ! [Time: $i,Height1: $i,Height2: $i] :
      ( ( ( holdsAt @ ( waterLevel @ Height1 ) @ Time )
        & ( holdsAt @ ( waterLevel @ Height2 ) @ Time ) )
     => ( Height1 = Height2 ) ) ).

thf(zip_derived_cl64,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( holdsAt @ ( waterLevel @ X0 ) @ X1 )
      | ~ ( holdsAt @ ( waterLevel @ X2 ) @ X1 )
      | ( X0 = X2 ) ),
    inference(cnf,[status(esa)],[same_waterLevel]) ).

thf(zip_derived_cl13140,plain,
    ! [X0: $i] :
      ( ~ ( holdsAt @ ( waterLevel @ X0 ) @ n1 )
      | ( n1 = X0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl13124,zip_derived_cl64]) ).

thf(zip_derived_cl13187,plain,
    ! [X0: $i] :
      ( ~ ( releasedAt @ X0 @ n1 )
      | ( releasedAt @ X0 @ n0 )
      | ~ ( holdsAt @ X0 @ n1 )
      | ( n1
        = ( sk__10 @ X0 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl909,zip_derived_cl13140]) ).

thf(zip_derived_cl909_162,plain,
    ! [X0: $i] :
      ( ( releasedAt @ X0 @ n0 )
      | ~ ( releasedAt @ X0 @ n1 )
      | ( X0
        = ( waterLevel @ ( sk__10 @ X0 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl74,zip_derived_cl585]) ).

thf(zip_derived_cl115_163,plain,
    holdsAt @ ( waterLevel @ n3 ) @ n3,
    inference(cnf,[status(esa)],[waterLevel_3]) ).

thf(zip_derived_cl64_164,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( holdsAt @ ( waterLevel @ X0 ) @ X1 )
      | ~ ( holdsAt @ ( waterLevel @ X2 ) @ X1 )
      | ( X0 = X2 ) ),
    inference(cnf,[status(esa)],[same_waterLevel]) ).

thf(zip_derived_cl822,plain,
    ! [X0: $i] :
      ( ~ ( holdsAt @ ( waterLevel @ X0 ) @ n3 )
      | ( n3 = X0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl115,zip_derived_cl64]) ).

thf(zip_derived_cl1826,plain,
    ! [X0: $i] :
      ( ~ ( releasedAt @ X0 @ n1 )
      | ( releasedAt @ X0 @ n0 )
      | ~ ( holdsAt @ X0 @ n3 )
      | ( n3
        = ( sk__10 @ X0 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl909,zip_derived_cl822]) ).

thf(zip_derived_cl68891,plain,
    ! [X0: $i] :
      ( ~ ( holdsAt @ X0 @ n1 )
      | ( releasedAt @ X0 @ n0 )
      | ~ ( releasedAt @ X0 @ n1 )
      | ~ ( releasedAt @ X0 @ n1 )
      | ( releasedAt @ X0 @ n0 )
      | ~ ( holdsAt @ X0 @ n3 )
      | ( n3 = n1 ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl13187,zip_derived_cl1826]) ).

thf(zip_derived_cl68896,plain,
    ! [X0: $i] :
      ( ( n3 = n1 )
      | ~ ( holdsAt @ X0 @ n3 )
      | ~ ( releasedAt @ X0 @ n1 )
      | ( releasedAt @ X0 @ n0 )
      | ~ ( holdsAt @ X0 @ n1 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl68891]) ).

thf(zip_derived_cl676_165,plain,
    ! [X0: $i] :
      ( ( X0 != n1 )
      | ( less @ X0 @ n2 ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl86,zip_derived_cl91]) ).

thf(zip_derived_cl677_166,plain,
    ! [X0: $i] :
      ( ( X0 != n2 )
      | ( less @ X0 @ n3 ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl86,zip_derived_cl93]) ).

thf(zip_derived_cl106_167,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( less @ X0 @ X1 )
      | ~ ( less @ X1 @ X0 ) ),
    inference(cnf,[status(esa)],[less_property]) ).

thf(zip_derived_cl712,plain,
    ! [X0: $i] :
      ( ( X0 != n2 )
      | ~ ( less @ n3 @ X0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl677,zip_derived_cl106]) ).

thf(zip_derived_cl718,plain,
    ~ ( less @ n3 @ n2 ),
    inference(eq_res,[status(thm)],[zip_derived_cl712]) ).

thf(zip_derived_cl719,plain,
    n3 != n1,
    inference('s_sup-',[status(thm)],[zip_derived_cl676,zip_derived_cl718]) ).

thf(zip_derived_cl68897,plain,
    ! [X0: $i] :
      ( ~ ( holdsAt @ X0 @ n3 )
      | ~ ( releasedAt @ X0 @ n1 )
      | ( releasedAt @ X0 @ n0 )
      | ~ ( holdsAt @ X0 @ n1 ) ),
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl68896,zip_derived_cl719]) ).

thf(zip_derived_cl68909,plain,
    ( ~ ( releasedAt @ ( waterLevel @ n3 ) @ n1 )
    | ( releasedAt @ ( waterLevel @ n3 ) @ n0 )
    | ~ ( holdsAt @ ( waterLevel @ n3 ) @ n1 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl115,zip_derived_cl68897]) ).

thf(zip_derived_cl9443_168,plain,
    ! [X0: $i] : ( releasedAt @ ( waterLevel @ X0 ) @ n1 ),
    inference(simplify,[status(thm)],[zip_derived_cl9442]) ).

thf(zip_derived_cl112_169,plain,
    ! [X0: $i] :
      ~ ( releasedAt @ ( waterLevel @ X0 ) @ n0 ),
    inference(cnf,[status(esa)],[not_released_waterLevel_0]) ).

thf(zip_derived_cl68912,plain,
    ~ ( holdsAt @ ( waterLevel @ n3 ) @ n1 ),
    inference(demod,[status(thm)],[zip_derived_cl68909,zip_derived_cl9443,zip_derived_cl112]) ).

thf(zip_derived_cl95471,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( stoppedIn @ X0 @ X1 @ n2 )
      | ~ ( stoppedIn @ X0 @ X1 @ n2 ) ),
    inference(demod,[status(thm)],[zip_derived_cl95284,zip_derived_cl68912]) ).

thf(zip_derived_cl95472,plain,
    ! [X0: $i,X1: $i] :
      ~ ( stoppedIn @ X0 @ X1 @ n2 ),
    inference(simplify,[status(thm)],[zip_derived_cl95471]) ).

thf(zip_derived_cl97412,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( ( sk__1 @ X2 @ X1 @ X0 )
       != n1 )
      | ~ ( stoppedIn @ X0 @ X1 @ X2 ) ),
    inference(demod,[status(thm)],[zip_derived_cl95024,zip_derived_cl95472]) ).

thf(zip_derived_cl123940,plain,
    ( ( holdsAt @ filling @ n3 )
    | ( ( sk__1 @ n4 @ filling @ n0 )
      = n3 )
    | ( happens @ overflow @ n2 )
    | ~ ( stoppedIn @ n0 @ filling @ n4 ) ),
    inference(clc,[status(thm)],[zip_derived_cl123939,zip_derived_cl97412]) ).

thf(zip_derived_cl123942,plain,
    ( ~ ( holdsAt @ filling @ n2 )
    | ( releasedAt @ filling @ n3 )
    | ( holdsAt @ filling @ n3 )
    | ~ ( less @ n0 @ n2 )
    | ( holdsAt @ filling @ n3 )
    | ( ( sk__1 @ n4 @ filling @ n0 )
      = n3 )
    | ( happens @ overflow @ n2 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl1311,zip_derived_cl123940]) ).

thf(zip_derived_cl50498_170,plain,
    holdsAt @ filling @ n2,
    inference('s_sup-',[status(thm)],[zip_derived_cl13124,zip_derived_cl50486]) ).

thf(zip_derived_cl12210_171,plain,
    ~ ( releasedAt @ filling @ n3 ),
    inference(simplify,[status(thm)],[zip_derived_cl12206]) ).

thf(zip_derived_cl73149_172,plain,
    less @ n0 @ n2,
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl72925,zip_derived_cl709]) ).

thf(zip_derived_cl123944,plain,
    ( ( holdsAt @ filling @ n3 )
    | ( holdsAt @ filling @ n3 )
    | ( ( sk__1 @ n4 @ filling @ n0 )
      = n3 )
    | ( happens @ overflow @ n2 ) ),
    inference(demod,[status(thm)],[zip_derived_cl123942,zip_derived_cl50498,zip_derived_cl12210,zip_derived_cl73149]) ).

thf(zip_derived_cl123945,plain,
    ( ( happens @ overflow @ n2 )
    | ( ( sk__1 @ n4 @ filling @ n0 )
      = n3 )
    | ( holdsAt @ filling @ n3 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl123944]) ).

thf(zip_derived_cl16040_173,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( happens @ overflow @ ( sk__1 @ X2 @ X1 @ X0 ) )
      | ~ ( stoppedIn @ X0 @ X1 @ X2 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl16038]) ).

thf(zip_derived_cl577_174,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( happens @ X0 @ X1 )
      | ( zip_tseitin_4 @ X1 @ X0 )
      | ( X0 = tapOn ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl60,zip_derived_cl57]) ).

thf(zip_derived_cl54,plain,
    ! [X0: $i,X1: $i] :
      ( ( holdsAt @ filling @ X0 )
      | ~ ( zip_tseitin_4 @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[zf_stmt_12]) ).

thf(zip_derived_cl882,plain,
    ! [X0: $i,X1: $i] :
      ( ( X0 = tapOn )
      | ~ ( happens @ X0 @ X1 )
      | ( holdsAt @ filling @ X1 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl577,zip_derived_cl54]) ).

thf(zip_derived_cl16105,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( stoppedIn @ X0 @ X1 @ X2 )
      | ( overflow = tapOn )
      | ( holdsAt @ filling @ ( sk__1 @ X2 @ X1 @ X0 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl16040,zip_derived_cl882]) ).

thf(zip_derived_cl67_175,plain,
    overflow != tapOn,
    inference(cnf,[status(esa)],[overflow_not_tapOn]) ).

thf(zip_derived_cl16112,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( stoppedIn @ X0 @ X1 @ X2 )
      | ( holdsAt @ filling @ ( sk__1 @ X2 @ X1 @ X0 ) ) ),
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl16105,zip_derived_cl67]) ).

thf(zip_derived_cl124014,plain,
    ( ( holdsAt @ filling @ n3 )
    | ( happens @ overflow @ n2 )
    | ~ ( stoppedIn @ n0 @ filling @ n4 )
    | ( holdsAt @ filling @ n3 ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl123945,zip_derived_cl16112]) ).

thf(zip_derived_cl124308,plain,
    ( ~ ( stoppedIn @ n0 @ filling @ n4 )
    | ( happens @ overflow @ n2 )
    | ( holdsAt @ filling @ n3 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl124014]) ).

thf(zip_derived_cl124513,plain,
    ( ~ ( holdsAt @ filling @ n2 )
    | ( releasedAt @ filling @ n3 )
    | ( holdsAt @ filling @ n3 )
    | ~ ( less @ n0 @ n2 )
    | ( happens @ overflow @ n2 )
    | ( holdsAt @ filling @ n3 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl1311,zip_derived_cl124308]) ).

thf(zip_derived_cl50498_176,plain,
    holdsAt @ filling @ n2,
    inference('s_sup-',[status(thm)],[zip_derived_cl13124,zip_derived_cl50486]) ).

thf(zip_derived_cl73149_177,plain,
    less @ n0 @ n2,
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl72925,zip_derived_cl709]) ).

thf(zip_derived_cl124515,plain,
    ( ( releasedAt @ filling @ n3 )
    | ( holdsAt @ filling @ n3 )
    | ( happens @ overflow @ n2 )
    | ( holdsAt @ filling @ n3 ) ),
    inference(demod,[status(thm)],[zip_derived_cl124513,zip_derived_cl50498,zip_derived_cl73149]) ).

thf(zip_derived_cl124516,plain,
    ( ( happens @ overflow @ n2 )
    | ( holdsAt @ filling @ n3 )
    | ( releasedAt @ filling @ n3 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl124515]) ).

thf(zip_derived_cl12210_178,plain,
    ~ ( releasedAt @ filling @ n3 ),
    inference(simplify,[status(thm)],[zip_derived_cl12206]) ).

thf(zip_derived_cl124538,plain,
    ( ( holdsAt @ filling @ n3 )
    | ( happens @ overflow @ n2 ) ),
    inference(clc,[status(thm)],[zip_derived_cl124516,zip_derived_cl12210]) ).

thf(zip_derived_cl881_179,plain,
    ! [X0: $i,X1: $i] :
      ( ( X0 = tapOn )
      | ~ ( happens @ X0 @ X1 )
      | ( holdsAt @ ( waterLevel @ n3 ) @ X1 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl577,zip_derived_cl53]) ).

thf(zip_derived_cl124539,plain,
    ( ( holdsAt @ filling @ n3 )
    | ( overflow = tapOn )
    | ( holdsAt @ ( waterLevel @ n3 ) @ n2 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl124538,zip_derived_cl881]) ).

thf(zip_derived_cl67_180,plain,
    overflow != tapOn,
    inference(cnf,[status(esa)],[overflow_not_tapOn]) ).

thf(zip_derived_cl124558,plain,
    ( ( holdsAt @ filling @ n3 )
    | ( holdsAt @ ( waterLevel @ n3 ) @ n2 ) ),
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl124539,zip_derived_cl67]) ).

thf(zip_derived_cl7063_181,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( holdsAt @ ( waterLevel @ X1 ) @ X0 )
      | ( initiates @ overflow @ ( waterLevel @ X1 ) @ X0 ) ),
    inference(eq_res,[status(thm)],[zip_derived_cl1444]) ).

thf(zip_derived_cl1107_182,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( holdsAt @ X1 @ X0 )
      | ( releasedAt @ X1 @ ( plus @ X0 @ n1 ) )
      | ( holdsAt @ X1 @ ( plus @ X0 @ n1 ) )
      | ( X0 = n0 )
      | ( ( sk__4 @ X0 @ X1 )
        = overflow ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl12,zip_derived_cl889]) ).

thf(zip_derived_cl26711_183,plain,
    releasedAt @ ( waterLevel @ n3 ) @ n3,
    inference(demod,[status(thm)],[zip_derived_cl26709,zip_derived_cl115]) ).

thf(zip_derived_cl50498_184,plain,
    holdsAt @ filling @ n2,
    inference('s_sup-',[status(thm)],[zip_derived_cl13124,zip_derived_cl50486]) ).

thf(zip_derived_cl12_185,plain,
    ! [X0: $i,X1: $i] :
      ( ( holdsAt @ X0 @ ( plus @ X1 @ n1 ) )
      | ( happens @ ( sk__4 @ X1 @ X0 ) @ X1 )
      | ( releasedAt @ X0 @ ( plus @ X1 @ n1 ) )
      | ~ ( holdsAt @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[keep_holding]) ).

thf(zip_derived_cl78_186,plain,
    ( ( plus @ n1 @ n2 )
    = n3 ),
    inference(cnf,[status(esa)],[plus1_2]) ).

thf(zip_derived_cl772_187,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( happens @ X2 @ X0 )
      | ~ ( initiates @ X2 @ X1 @ X0 )
      | ~ ( releasedAt @ X1 @ ( plus @ n1 @ X0 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl83,zip_derived_cl24]) ).

thf(zip_derived_cl1481,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( happens @ X1 @ n2 )
      | ~ ( initiates @ X1 @ X0 @ n2 )
      | ~ ( releasedAt @ X0 @ n3 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl78,zip_derived_cl772]) ).

thf(zip_derived_cl6447,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( holdsAt @ X0 @ n2 )
      | ( releasedAt @ X0 @ ( plus @ n2 @ n1 ) )
      | ( holdsAt @ X0 @ ( plus @ n2 @ n1 ) )
      | ~ ( initiates @ ( sk__4 @ n2 @ X0 ) @ X1 @ n2 )
      | ~ ( releasedAt @ X1 @ n3 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl12,zip_derived_cl1481]) ).

thf(zip_derived_cl83_188,plain,
    ! [X0: $i,X1: $i] :
      ( ( plus @ X1 @ X0 )
      = ( plus @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[symmetry_of_plus]) ).

thf(zip_derived_cl78_189,plain,
    ( ( plus @ n1 @ n2 )
    = n3 ),
    inference(cnf,[status(esa)],[plus1_2]) ).

thf(zip_derived_cl83_190,plain,
    ! [X0: $i,X1: $i] :
      ( ( plus @ X1 @ X0 )
      = ( plus @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[symmetry_of_plus]) ).

thf(zip_derived_cl78_191,plain,
    ( ( plus @ n1 @ n2 )
    = n3 ),
    inference(cnf,[status(esa)],[plus1_2]) ).

thf(zip_derived_cl6451,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( holdsAt @ X0 @ n2 )
      | ( releasedAt @ X0 @ n3 )
      | ( holdsAt @ X0 @ n3 )
      | ~ ( initiates @ ( sk__4 @ n2 @ X0 ) @ X1 @ n2 )
      | ~ ( releasedAt @ X1 @ n3 ) ),
    inference(demod,[status(thm)],[zip_derived_cl6447,zip_derived_cl83,zip_derived_cl78,zip_derived_cl83,zip_derived_cl78]) ).

thf(zip_derived_cl109483,plain,
    ! [X0: $i] :
      ( ( releasedAt @ filling @ n3 )
      | ( holdsAt @ filling @ n3 )
      | ~ ( initiates @ ( sk__4 @ n2 @ filling ) @ X0 @ n2 )
      | ~ ( releasedAt @ X0 @ n3 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl50498,zip_derived_cl6451]) ).

thf(zip_derived_cl12210_192,plain,
    ~ ( releasedAt @ filling @ n3 ),
    inference(simplify,[status(thm)],[zip_derived_cl12206]) ).

thf(zip_derived_cl109486,plain,
    ! [X0: $i] :
      ( ( holdsAt @ filling @ n3 )
      | ~ ( initiates @ ( sk__4 @ n2 @ filling ) @ X0 @ n2 )
      | ~ ( releasedAt @ X0 @ n3 ) ),
    inference(demod,[status(thm)],[zip_derived_cl109483,zip_derived_cl12210]) ).

thf(zip_derived_cl109504,plain,
    ( ( holdsAt @ filling @ n3 )
    | ~ ( initiates @ ( sk__4 @ n2 @ filling ) @ ( waterLevel @ n3 ) @ n2 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl26711,zip_derived_cl109486]) ).

thf(zip_derived_cl109515,plain,
    ( ( n2 = n0 )
    | ( holdsAt @ filling @ ( plus @ n2 @ n1 ) )
    | ( releasedAt @ filling @ ( plus @ n2 @ n1 ) )
    | ~ ( holdsAt @ filling @ n2 )
    | ( holdsAt @ filling @ n3 )
    | ~ ( initiates @ overflow @ ( waterLevel @ n3 ) @ n2 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl1107,zip_derived_cl109504]) ).

thf(zip_derived_cl83_193,plain,
    ! [X0: $i,X1: $i] :
      ( ( plus @ X1 @ X0 )
      = ( plus @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[symmetry_of_plus]) ).

thf(zip_derived_cl78_194,plain,
    ( ( plus @ n1 @ n2 )
    = n3 ),
    inference(cnf,[status(esa)],[plus1_2]) ).

thf(zip_derived_cl83_195,plain,
    ! [X0: $i,X1: $i] :
      ( ( plus @ X1 @ X0 )
      = ( plus @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[symmetry_of_plus]) ).

thf(zip_derived_cl78_196,plain,
    ( ( plus @ n1 @ n2 )
    = n3 ),
    inference(cnf,[status(esa)],[plus1_2]) ).

thf(zip_derived_cl12210_197,plain,
    ~ ( releasedAt @ filling @ n3 ),
    inference(simplify,[status(thm)],[zip_derived_cl12206]) ).

thf(zip_derived_cl50498_198,plain,
    holdsAt @ filling @ n2,
    inference('s_sup-',[status(thm)],[zip_derived_cl13124,zip_derived_cl50486]) ).

thf(zip_derived_cl109524,plain,
    ( ( n2 = n0 )
    | ( holdsAt @ filling @ n3 )
    | ( holdsAt @ filling @ n3 )
    | ~ ( initiates @ overflow @ ( waterLevel @ n3 ) @ n2 ) ),
    inference(demod,[status(thm)],[zip_derived_cl109515,zip_derived_cl83,zip_derived_cl78,zip_derived_cl83,zip_derived_cl78,zip_derived_cl12210,zip_derived_cl50498]) ).

thf(zip_derived_cl109525,plain,
    ( ~ ( initiates @ overflow @ ( waterLevel @ n3 ) @ n2 )
    | ( holdsAt @ filling @ n3 )
    | ( n2 = n0 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl109524]) ).

thf(zip_derived_cl709_199,plain,
    n2 != n0,
    inference('s_sup-',[status(thm)],[zip_derived_cl675,zip_derived_cl708]) ).

thf(zip_derived_cl109526,plain,
    ( ~ ( initiates @ overflow @ ( waterLevel @ n3 ) @ n2 )
    | ( holdsAt @ filling @ n3 ) ),
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl109525,zip_derived_cl709]) ).

thf(zip_derived_cl109540,plain,
    ( ~ ( holdsAt @ ( waterLevel @ n3 ) @ n2 )
    | ( holdsAt @ filling @ n3 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl7063,zip_derived_cl109526]) ).

thf(zip_derived_cl125054,plain,
    holdsAt @ filling @ n3,
    inference(clc,[status(thm)],[zip_derived_cl124558,zip_derived_cl109540]) ).

thf(zip_derived_cl56,plain,
    ! [X0: $i,X1: $i] :
      ( ( zip_tseitin_4 @ X0 @ X1 )
      | ( X1 != overflow )
      | ~ ( holdsAt @ filling @ X0 )
      | ~ ( holdsAt @ ( waterLevel @ n3 ) @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_12]) ).

thf(zip_derived_cl62,plain,
    ! [X0: $i,X1: $i] :
      ( ( happens @ X0 @ X1 )
      | ~ ( zip_tseitin_4 @ X1 @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_13]) ).

thf(zip_derived_cl820,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( holdsAt @ ( waterLevel @ n3 ) @ X1 )
      | ~ ( holdsAt @ filling @ X1 )
      | ( X0 != overflow )
      | ( happens @ X0 @ X1 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl56,zip_derived_cl62]) ).

thf(zip_derived_cl1573,plain,
    ! [X0: $i] :
      ( ( happens @ overflow @ X0 )
      | ~ ( holdsAt @ filling @ X0 )
      | ~ ( holdsAt @ ( waterLevel @ n3 ) @ X0 ) ),
    inference(eq_res,[status(thm)],[zip_derived_cl820]) ).

thf(zip_derived_cl125238,plain,
    ( ( happens @ overflow @ n3 )
    | ~ ( holdsAt @ ( waterLevel @ n3 ) @ n3 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl125054,zip_derived_cl1573]) ).

thf(zip_derived_cl115_200,plain,
    holdsAt @ ( waterLevel @ n3 ) @ n3,
    inference(cnf,[status(esa)],[waterLevel_3]) ).

thf(zip_derived_cl125400,plain,
    happens @ overflow @ n3,
    inference(demod,[status(thm)],[zip_derived_cl125238,zip_derived_cl115]) ).

thf(zip_derived_cl125411,plain,
    ! [X0: $i] :
      ( ~ ( holdsAt @ ( waterLevel @ X0 ) @ n3 )
      | ( holdsAt @ ( waterLevel @ X0 ) @ n4 ) ),
    inference(demod,[status(thm)],[zip_derived_cl16596,zip_derived_cl125400]) ).

thf(zip_derived_cl116_201,plain,
    ~ ( holdsAt @ ( waterLevel @ n3 ) @ n4 ),
    inference(cnf,[status(esa)],[zf_stmt_14]) ).

thf(zip_derived_cl125598,plain,
    ~ ( holdsAt @ ( waterLevel @ n3 ) @ n3 ),
    inference('s_sup-',[status(thm)],[zip_derived_cl125411,zip_derived_cl116]) ).

thf(zip_derived_cl115_202,plain,
    holdsAt @ ( waterLevel @ n3 ) @ n3,
    inference(cnf,[status(esa)],[waterLevel_3]) ).

thf(zip_derived_cl125607,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl125598,zip_derived_cl115]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : CSR001+2 : TPTP v8.1.2. Bugfixed v3.1.0.
% 0.00/0.14  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.DNh6dDBi7k true
% 0.14/0.35  % Computer : n008.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit : 300
% 0.14/0.35  % WCLimit  : 300
% 0.14/0.35  % DateTime : Mon Aug 28 14:30:02 EDT 2023
% 0.14/0.35  % CPUTime  : 
% 0.14/0.35  % Running portfolio for 300 s
% 0.14/0.35  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.35  % Number of cores: 8
% 0.14/0.36  % Python version: Python 3.6.8
% 0.14/0.36  % Running in FO mode
% 0.21/0.68  % Total configuration time : 435
% 0.21/0.68  % Estimated wc time : 1092
% 0.21/0.68  % Estimated cpu time (7 cpus) : 156.0
% 0.21/0.71  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.21/0.72  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.21/0.75  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.21/0.75  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.21/0.75  % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.21/0.76  % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.21/0.77  % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 145.64/21.40  % Solved by fo/fo6_bce.sh.
% 145.64/21.40  % BCE start: 117
% 145.64/21.40  % BCE eliminated: 1
% 145.64/21.40  % PE start: 116
% 145.64/21.40  logic: eq
% 145.64/21.40  % PE eliminated: 2
% 145.64/21.40  % done 12695 iterations in 20.645s
% 145.64/21.40  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 145.64/21.40  % SZS output start Refutation
% See solution above
% 145.64/21.41  
% 145.64/21.41  
% 145.64/21.41  % Terminating...
% 146.03/21.50  % Runner terminated.
% 146.03/21.52  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------