TSTP Solution File: SWV467+1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SWV467+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.A2EKVnwd4S true

% Computer : n007.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 : Fri Sep  1 00:10:05 EDT 2023

% Result   : Theorem 129.25s 19.05s
% Output   : Refutation 129.25s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   18
%            Number of leaves      :   36
% Syntax   : Number of formulae    :  121 (  41 unt;  32 typ;   0 def)
%            Number of atoms       :  437 ( 173 equ;   0 cnn)
%            Maximal formula atoms :   98 (   4 avg)
%            Number of connectives : 1961 ( 219   ~; 161   |; 131   &;1394   @)
%                                         (   2 <=>;  54  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   35 (   7 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   20 (  20   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   34 (  32 usr;  20 con; 0-2 aty)
%            Number of variables   :  196 (   0   ^; 196   !;   0   ?; 196   :)

% Comments : 
%------------------------------------------------------------------------------
thf(status_type,type,
    status: $i ).

thf(index_type,type,
    index: $i > $i > $i ).

thf(wait_type,type,
    wait: $i ).

thf(sk__12_type,type,
    sk__12: $i ).

thf(m_Ack_type,type,
    m_Ack: $i > $i > $i ).

thf(m_Ldr_type,type,
    m_Ldr: $i > $i ).

thf(pendack_type,type,
    pendack: $i ).

thf(elec_2_type,type,
    elec_2: $i ).

thf(sk__11_type,type,
    sk__11: $i > $i > $i ).

thf(sk__3_type,type,
    sk__3: $i ).

thf(alive_type,type,
    alive: $i ).

thf(setIn_type,type,
    setIn: $i > $i > $o ).

thf(elem_type,type,
    elem: $i > $i > $o ).

thf(leq_type,type,
    leq: $i > $i > $o ).

thf(s_type,type,
    s: $i > $i ).

thf(m_Down_type,type,
    m_Down: $i > $i ).

thf(norm_type,type,
    norm: $i ).

thf(down_type,type,
    down: $i ).

thf(nbr_proc_type,type,
    nbr_proc: $i ).

thf(sk__8_type,type,
    sk__8: $i ).

thf(m_Halt_type,type,
    m_Halt: $i > $i ).

thf(zero_type,type,
    zero: $i ).

thf(elec_1_type,type,
    elec_1: $i ).

thf(cons_type,type,
    cons: $i > $i > $i ).

thf(elid_type,type,
    elid: $i ).

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

thf(host_type,type,
    host: $i > $i ).

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

thf(ldr_type,type,
    ldr: $i ).

thf(queue_type,type,
    queue: $i > $i ).

thf(sk__9_type,type,
    sk__9: $i ).

thf(setEmpty_type,type,
    setEmpty: $i ).

thf(conj,conjecture,
    ! [V: $i,W: $i,X: $i,Y: $i] :
      ( ( ! [Z: $i,Pid0: $i] :
            ( ( elem @ ( m_Ldr @ Pid0 ) @ ( queue @ ( host @ Z ) ) )
           => ~ ( leq @ ( host @ Z ) @ ( host @ Pid0 ) ) )
        & ! [Z: $i,Pid0: $i] :
            ( ( elem @ ( m_Down @ Pid0 ) @ ( queue @ ( host @ Z ) ) )
           => ( ( host @ Pid0 )
             != ( host @ Z ) ) )
        & ! [Z: $i,Pid0: $i] :
            ( ( elem @ ( m_Halt @ Pid0 ) @ ( queue @ ( host @ Z ) ) )
           => ~ ( leq @ ( host @ Z ) @ ( host @ Pid0 ) ) )
        & ! [Z: $i,Pid20: $i,Pid0: $i] :
            ( ( elem @ ( m_Ack @ Pid0 @ Z ) @ ( queue @ ( host @ Pid20 ) ) )
           => ~ ( leq @ ( host @ Z ) @ ( host @ Pid0 ) ) )
        & ! [Z: $i,Pid0: $i] :
            ( ( ( Pid0 != Z )
              & ( ( host @ Pid0 )
                = ( host @ Z ) ) )
           => ( ~ ( setIn @ Z @ alive )
              | ~ ( setIn @ Pid0 @ alive ) ) )
        & ! [Z: $i,Pid0: $i] :
            ( ( ( setIn @ Pid0 @ alive )
              & ( elem @ ( m_Ack @ Pid0 @ Z ) @ ( queue @ ( host @ Pid0 ) ) ) )
           => ( leq @ ( host @ Z ) @ ( index @ pendack @ ( host @ Pid0 ) ) ) )
        & ! [Z: $i,Pid0: $i] :
            ( ( ( setIn @ Pid0 @ alive )
              & ( ( index @ status @ ( host @ Pid0 ) )
                = elec_1 ) )
           => ~ ( elem @ ( m_Ack @ Pid0 @ Z ) @ ( queue @ ( host @ Pid0 ) ) ) )
        & ! [Z: $i] :
            ( ( ( ( ( index @ status @ ( host @ Z ) )
                  = elec_1 )
                | ( ( index @ status @ ( host @ Z ) )
                  = elec_2 ) )
              & ( setIn @ Z @ alive ) )
           => ( ( index @ elid @ ( host @ Z ) )
              = Z ) )
        & ! [Z: $i,Pid20: $i,Pid0: $i] :
            ( ( ( setIn @ Pid0 @ alive )
              & ( elem @ ( m_Down @ Pid20 ) @ ( queue @ ( host @ Pid0 ) ) )
              & ( ( host @ Pid20 )
                = ( host @ Z ) ) )
           => ~ ( ( setIn @ Z @ alive )
                & ( ( index @ ldr @ ( host @ Z ) )
                  = ( host @ Z ) )
                & ( ( index @ status @ ( host @ Z ) )
                  = norm ) ) )
        & ! [Z: $i,Pid0: $i] :
            ( ( ~ ( leq @ ( host @ Z ) @ ( host @ Pid0 ) )
              & ( setIn @ Z @ alive )
              & ( setIn @ Pid0 @ alive )
              & ( ( index @ status @ ( host @ Z ) )
                = elec_2 )
              & ( ( index @ status @ ( host @ Pid0 ) )
                = elec_2 ) )
           => ( leq @ ( index @ pendack @ ( host @ Pid0 ) ) @ ( host @ Z ) ) )
        & ! [Z: $i,Pid20: $i,Pid0: $i] :
            ( ( ( setIn @ Z @ alive )
              & ( setIn @ Pid0 @ alive )
              & ( ( host @ Pid0 )
                = ( host @ Pid20 ) )
              & ( ( index @ status @ ( host @ Z ) )
                = elec_2 )
              & ( ( index @ status @ ( host @ Pid0 ) )
                = elec_2 ) )
           => ~ ( elem @ ( m_Ack @ Z @ Pid20 ) @ ( queue @ ( host @ Z ) ) ) )
        & ! [Z: $i,Pid0: $i] :
            ( ( ~ ( leq @ ( host @ Z ) @ ( host @ Pid0 ) )
              & ( setIn @ Z @ alive )
              & ( setIn @ Pid0 @ alive )
              & ( ( index @ status @ ( host @ Z ) )
                = elec_2 )
              & ( ( index @ status @ ( host @ Pid0 ) )
                = elec_2 ) )
           => ~ ( leq @ ( index @ pendack @ ( host @ Z ) ) @ ( index @ pendack @ ( host @ Pid0 ) ) ) )
        & ! [Z: $i,Pid20: $i,Pid0: $i] :
            ( ( ~ ( leq @ ( index @ pendack @ ( host @ Pid0 ) ) @ ( host @ Z ) )
              & ( setIn @ Pid0 @ alive )
              & ( elem @ ( m_Halt @ Pid0 ) @ ( queue @ ( host @ Pid20 ) ) )
              & ( ( index @ status @ ( host @ Pid0 ) )
                = elec_2 ) )
           => ~ ( ( setIn @ Z @ alive )
                & ( ( index @ ldr @ ( host @ Z ) )
                  = ( host @ Z ) )
                & ( ( index @ status @ ( host @ Z ) )
                  = norm ) ) )
        & ! [Z: $i,Pid30: $i,Pid20: $i,Pid0: $i] :
            ( ( ! [V0: $i] :
                  ( ( ~ ( leq @ ( host @ Pid0 ) @ V0 )
                    & ( leq @ ( s @ zero ) @ V0 ) )
                 => ( ( setIn @ V0 @ ( index @ down @ ( host @ Pid0 ) ) )
                    | ( V0
                      = ( host @ Pid20 ) ) ) )
              & ( elem @ ( m_Down @ Pid20 ) @ ( queue @ ( host @ Pid0 ) ) )
              & ( ( host @ Pid0 )
                = nbr_proc )
              & ( ( host @ Pid0 )
                = ( host @ Pid30 ) )
              & ( ( index @ status @ ( host @ Pid0 ) )
                = elec_1 ) )
           => ~ ( ( setIn @ Z @ alive )
                & ( elem @ ( m_Down @ Pid30 ) @ ( queue @ ( host @ Z ) ) ) ) )
        & ! [Z: $i,Pid30: $i,Pid20: $i,Pid0: $i] :
            ( ( ( setIn @ Pid0 @ alive )
              & ( elem @ ( m_Down @ Pid20 ) @ ( queue @ ( host @ Pid0 ) ) )
              & ( elem @ ( m_Ack @ Pid0 @ Pid30 ) @ ( queue @ ( host @ Pid0 ) ) )
              & ( leq @ nbr_proc @ ( s @ ( index @ pendack @ ( host @ Pid0 ) ) ) )
              & ( ( index @ status @ ( host @ Pid0 ) )
                = elec_2 )
              & ( ( host @ Pid30 )
                = ( index @ pendack @ ( host @ Pid0 ) ) )
              & ( ( host @ Pid20 )
                = ( s @ ( index @ pendack @ ( host @ Pid0 ) ) ) ) )
           => ~ ( ( setIn @ Z @ alive )
                & ( ( index @ ldr @ ( host @ Z ) )
                  = ( host @ Z ) )
                & ( ( index @ status @ ( host @ Z ) )
                  = norm ) ) )
        & ( ( queue @ ( host @ X ) )
          = ( cons @ ( m_Down @ Y ) @ V ) ) )
     => ( ( setIn @ X @ alive )
       => ( ~ ( leq @ ( host @ X ) @ ( host @ Y ) )
         => ( ~ ( ( ( ( index @ ldr @ ( host @ X ) )
                    = ( host @ Y ) )
                  & ( ( index @ status @ ( host @ X ) )
                    = norm ) )
                | ( ( ( index @ status @ ( host @ X ) )
                    = wait )
                  & ( ( host @ Y )
                    = ( host @ ( index @ elid @ ( host @ X ) ) ) ) ) )
           => ( ( ! [Z: $i] :
                    ( ( ~ ( leq @ ( host @ X ) @ Z )
                      & ( leq @ ( s @ zero ) @ Z ) )
                   => ( ( setIn @ Z @ ( index @ down @ ( host @ X ) ) )
                      | ( Z
                        = ( host @ Y ) ) ) )
                & ( ( index @ status @ ( host @ X ) )
                  = elec_1 ) )
             => ( ( leq @ nbr_proc @ ( host @ X ) )
               => ! [Z: $i] :
                    ( ~ ( setIn @ ( host @ Z ) @ setEmpty )
                   => ! [V0: $i] :
                        ( ( ( host @ X )
                          = ( host @ V0 ) )
                       => ! [W0: $i,X0: $i,Y0: $i] :
                            ( ( ( host @ X )
                             != ( host @ Y0 ) )
                           => ( ( ( setIn @ Y0 @ alive )
                                & ( elem @ ( m_Down @ X0 ) @ ( queue @ ( host @ Y0 ) ) )
                                & ( elem @ ( m_Ack @ Y0 @ W0 ) @ ( queue @ ( host @ Y0 ) ) )
                                & ( leq @ nbr_proc @ ( s @ ( index @ pendack @ ( host @ Y0 ) ) ) )
                                & ( ( index @ status @ ( host @ Y0 ) )
                                  = elec_2 )
                                & ( ( host @ W0 )
                                  = ( index @ pendack @ ( host @ Y0 ) ) )
                                & ( ( host @ X0 )
                                  = ( s @ ( index @ pendack @ ( host @ Y0 ) ) ) ) )
                             => ~ ( ( setIn @ V0 @ alive )
                                  & ( ( host @ X )
                                    = ( host @ V0 ) ) ) ) ) ) ) ) ) ) ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ! [V: $i,W: $i,X: $i,Y: $i] :
        ( ( ! [Z: $i,Pid0: $i] :
              ( ( elem @ ( m_Ldr @ Pid0 ) @ ( queue @ ( host @ Z ) ) )
             => ~ ( leq @ ( host @ Z ) @ ( host @ Pid0 ) ) )
          & ! [Z: $i,Pid0: $i] :
              ( ( elem @ ( m_Down @ Pid0 ) @ ( queue @ ( host @ Z ) ) )
             => ( ( host @ Pid0 )
               != ( host @ Z ) ) )
          & ! [Z: $i,Pid0: $i] :
              ( ( elem @ ( m_Halt @ Pid0 ) @ ( queue @ ( host @ Z ) ) )
             => ~ ( leq @ ( host @ Z ) @ ( host @ Pid0 ) ) )
          & ! [Z: $i,Pid20: $i,Pid0: $i] :
              ( ( elem @ ( m_Ack @ Pid0 @ Z ) @ ( queue @ ( host @ Pid20 ) ) )
             => ~ ( leq @ ( host @ Z ) @ ( host @ Pid0 ) ) )
          & ! [Z: $i,Pid0: $i] :
              ( ( ( Pid0 != Z )
                & ( ( host @ Pid0 )
                  = ( host @ Z ) ) )
             => ( ~ ( setIn @ Z @ alive )
                | ~ ( setIn @ Pid0 @ alive ) ) )
          & ! [Z: $i,Pid0: $i] :
              ( ( ( setIn @ Pid0 @ alive )
                & ( elem @ ( m_Ack @ Pid0 @ Z ) @ ( queue @ ( host @ Pid0 ) ) ) )
             => ( leq @ ( host @ Z ) @ ( index @ pendack @ ( host @ Pid0 ) ) ) )
          & ! [Z: $i,Pid0: $i] :
              ( ( ( setIn @ Pid0 @ alive )
                & ( ( index @ status @ ( host @ Pid0 ) )
                  = elec_1 ) )
             => ~ ( elem @ ( m_Ack @ Pid0 @ Z ) @ ( queue @ ( host @ Pid0 ) ) ) )
          & ! [Z: $i] :
              ( ( ( ( ( index @ status @ ( host @ Z ) )
                    = elec_1 )
                  | ( ( index @ status @ ( host @ Z ) )
                    = elec_2 ) )
                & ( setIn @ Z @ alive ) )
             => ( ( index @ elid @ ( host @ Z ) )
                = Z ) )
          & ! [Z: $i,Pid20: $i,Pid0: $i] :
              ( ( ( setIn @ Pid0 @ alive )
                & ( elem @ ( m_Down @ Pid20 ) @ ( queue @ ( host @ Pid0 ) ) )
                & ( ( host @ Pid20 )
                  = ( host @ Z ) ) )
             => ~ ( ( setIn @ Z @ alive )
                  & ( ( index @ ldr @ ( host @ Z ) )
                    = ( host @ Z ) )
                  & ( ( index @ status @ ( host @ Z ) )
                    = norm ) ) )
          & ! [Z: $i,Pid0: $i] :
              ( ( ~ ( leq @ ( host @ Z ) @ ( host @ Pid0 ) )
                & ( setIn @ Z @ alive )
                & ( setIn @ Pid0 @ alive )
                & ( ( index @ status @ ( host @ Z ) )
                  = elec_2 )
                & ( ( index @ status @ ( host @ Pid0 ) )
                  = elec_2 ) )
             => ( leq @ ( index @ pendack @ ( host @ Pid0 ) ) @ ( host @ Z ) ) )
          & ! [Z: $i,Pid20: $i,Pid0: $i] :
              ( ( ( setIn @ Z @ alive )
                & ( setIn @ Pid0 @ alive )
                & ( ( host @ Pid0 )
                  = ( host @ Pid20 ) )
                & ( ( index @ status @ ( host @ Z ) )
                  = elec_2 )
                & ( ( index @ status @ ( host @ Pid0 ) )
                  = elec_2 ) )
             => ~ ( elem @ ( m_Ack @ Z @ Pid20 ) @ ( queue @ ( host @ Z ) ) ) )
          & ! [Z: $i,Pid0: $i] :
              ( ( ~ ( leq @ ( host @ Z ) @ ( host @ Pid0 ) )
                & ( setIn @ Z @ alive )
                & ( setIn @ Pid0 @ alive )
                & ( ( index @ status @ ( host @ Z ) )
                  = elec_2 )
                & ( ( index @ status @ ( host @ Pid0 ) )
                  = elec_2 ) )
             => ~ ( leq @ ( index @ pendack @ ( host @ Z ) ) @ ( index @ pendack @ ( host @ Pid0 ) ) ) )
          & ! [Z: $i,Pid20: $i,Pid0: $i] :
              ( ( ~ ( leq @ ( index @ pendack @ ( host @ Pid0 ) ) @ ( host @ Z ) )
                & ( setIn @ Pid0 @ alive )
                & ( elem @ ( m_Halt @ Pid0 ) @ ( queue @ ( host @ Pid20 ) ) )
                & ( ( index @ status @ ( host @ Pid0 ) )
                  = elec_2 ) )
             => ~ ( ( setIn @ Z @ alive )
                  & ( ( index @ ldr @ ( host @ Z ) )
                    = ( host @ Z ) )
                  & ( ( index @ status @ ( host @ Z ) )
                    = norm ) ) )
          & ! [Z: $i,Pid30: $i,Pid20: $i,Pid0: $i] :
              ( ( ! [V0: $i] :
                    ( ( ~ ( leq @ ( host @ Pid0 ) @ V0 )
                      & ( leq @ ( s @ zero ) @ V0 ) )
                   => ( ( setIn @ V0 @ ( index @ down @ ( host @ Pid0 ) ) )
                      | ( V0
                        = ( host @ Pid20 ) ) ) )
                & ( elem @ ( m_Down @ Pid20 ) @ ( queue @ ( host @ Pid0 ) ) )
                & ( ( host @ Pid0 )
                  = nbr_proc )
                & ( ( host @ Pid0 )
                  = ( host @ Pid30 ) )
                & ( ( index @ status @ ( host @ Pid0 ) )
                  = elec_1 ) )
             => ~ ( ( setIn @ Z @ alive )
                  & ( elem @ ( m_Down @ Pid30 ) @ ( queue @ ( host @ Z ) ) ) ) )
          & ! [Z: $i,Pid30: $i,Pid20: $i,Pid0: $i] :
              ( ( ( setIn @ Pid0 @ alive )
                & ( elem @ ( m_Down @ Pid20 ) @ ( queue @ ( host @ Pid0 ) ) )
                & ( elem @ ( m_Ack @ Pid0 @ Pid30 ) @ ( queue @ ( host @ Pid0 ) ) )
                & ( leq @ nbr_proc @ ( s @ ( index @ pendack @ ( host @ Pid0 ) ) ) )
                & ( ( index @ status @ ( host @ Pid0 ) )
                  = elec_2 )
                & ( ( host @ Pid30 )
                  = ( index @ pendack @ ( host @ Pid0 ) ) )
                & ( ( host @ Pid20 )
                  = ( s @ ( index @ pendack @ ( host @ Pid0 ) ) ) ) )
             => ~ ( ( setIn @ Z @ alive )
                  & ( ( index @ ldr @ ( host @ Z ) )
                    = ( host @ Z ) )
                  & ( ( index @ status @ ( host @ Z ) )
                    = norm ) ) )
          & ( ( queue @ ( host @ X ) )
            = ( cons @ ( m_Down @ Y ) @ V ) ) )
       => ( ( setIn @ X @ alive )
         => ( ~ ( leq @ ( host @ X ) @ ( host @ Y ) )
           => ( ~ ( ( ( ( index @ ldr @ ( host @ X ) )
                      = ( host @ Y ) )
                    & ( ( index @ status @ ( host @ X ) )
                      = norm ) )
                  | ( ( ( index @ status @ ( host @ X ) )
                      = wait )
                    & ( ( host @ Y )
                      = ( host @ ( index @ elid @ ( host @ X ) ) ) ) ) )
             => ( ( ! [Z: $i] :
                      ( ( ~ ( leq @ ( host @ X ) @ Z )
                        & ( leq @ ( s @ zero ) @ Z ) )
                     => ( ( setIn @ Z @ ( index @ down @ ( host @ X ) ) )
                        | ( Z
                          = ( host @ Y ) ) ) )
                  & ( ( index @ status @ ( host @ X ) )
                    = elec_1 ) )
               => ( ( leq @ nbr_proc @ ( host @ X ) )
                 => ! [Z: $i] :
                      ( ~ ( setIn @ ( host @ Z ) @ setEmpty )
                     => ! [V0: $i] :
                          ( ( ( host @ X )
                            = ( host @ V0 ) )
                         => ! [W0: $i,X0: $i,Y0: $i] :
                              ( ( ( host @ X )
                               != ( host @ Y0 ) )
                             => ( ( ( setIn @ Y0 @ alive )
                                  & ( elem @ ( m_Down @ X0 ) @ ( queue @ ( host @ Y0 ) ) )
                                  & ( elem @ ( m_Ack @ Y0 @ W0 ) @ ( queue @ ( host @ Y0 ) ) )
                                  & ( leq @ nbr_proc @ ( s @ ( index @ pendack @ ( host @ Y0 ) ) ) )
                                  & ( ( index @ status @ ( host @ Y0 ) )
                                    = elec_2 )
                                  & ( ( host @ W0 )
                                    = ( index @ pendack @ ( host @ Y0 ) ) )
                                  & ( ( host @ X0 )
                                    = ( s @ ( index @ pendack @ ( host @ Y0 ) ) ) ) )
                               => ~ ( ( setIn @ V0 @ alive )
                                    & ( ( host @ X )
                                      = ( host @ V0 ) ) ) ) ) ) ) ) ) ) ) ) ),
    inference('cnf.neg',[status(esa)],[conj]) ).

thf(zip_derived_cl121,plain,
    setIn @ sk__10 @ alive,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl124,plain,
    leq @ nbr_proc @ ( s @ ( index @ pendack @ ( host @ sk__10 ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl126,plain,
    ( ( host @ sk__8 )
    = ( index @ pendack @ ( host @ sk__10 ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl127,plain,
    ( ( host @ sk__9 )
    = ( s @ ( index @ pendack @ ( host @ sk__10 ) ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl126_001,plain,
    ( ( host @ sk__8 )
    = ( index @ pendack @ ( host @ sk__10 ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl475,plain,
    ( ( host @ sk__9 )
    = ( s @ ( host @ sk__8 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl127,zip_derived_cl126]) ).

thf(zip_derived_cl482,plain,
    leq @ nbr_proc @ ( host @ sk__9 ),
    inference(demod,[status(thm)],[zip_derived_cl124,zip_derived_cl126,zip_derived_cl475]) ).

thf(axiom_61,axiom,
    ! [X: $i,Y: $i] :
      ( ( ( leq @ X @ Y )
        & ( leq @ Y @ X ) )
    <=> ( X = Y ) ) ).

thf(zip_derived_cl86,plain,
    ! [X0: $i,X1: $i] :
      ( ( X1 = X0 )
      | ~ ( leq @ X0 @ X1 )
      | ~ ( leq @ X1 @ X0 ) ),
    inference(cnf,[status(esa)],[axiom_61]) ).

thf(zip_derived_cl498,plain,
    ( ( ( host @ sk__9 )
      = nbr_proc )
    | ~ ( leq @ ( host @ sk__9 ) @ nbr_proc ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl482,zip_derived_cl86]) ).

thf(axiom_04,axiom,
    ! [P: $i] : ( leq @ ( host @ P ) @ nbr_proc ) ).

thf(zip_derived_cl5,plain,
    ! [X0: $i] : ( leq @ ( host @ X0 ) @ nbr_proc ),
    inference(cnf,[status(esa)],[axiom_04]) ).

thf(zip_derived_cl501,plain,
    ( ( host @ sk__9 )
    = nbr_proc ),
    inference(demod,[status(thm)],[zip_derived_cl498,zip_derived_cl5]) ).

thf(zip_derived_cl133,plain,
    leq @ nbr_proc @ ( host @ sk__5 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl86_002,plain,
    ! [X0: $i,X1: $i] :
      ( ( X1 = X0 )
      | ~ ( leq @ X0 @ X1 )
      | ~ ( leq @ X1 @ X0 ) ),
    inference(cnf,[status(esa)],[axiom_61]) ).

thf(zip_derived_cl497,plain,
    ( ( ( host @ sk__5 )
      = nbr_proc )
    | ~ ( leq @ ( host @ sk__5 ) @ nbr_proc ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl133,zip_derived_cl86]) ).

thf(zip_derived_cl5_003,plain,
    ! [X0: $i] : ( leq @ ( host @ X0 ) @ nbr_proc ),
    inference(cnf,[status(esa)],[axiom_04]) ).

thf(zip_derived_cl500,plain,
    ( ( host @ sk__5 )
    = nbr_proc ),
    inference(demod,[status(thm)],[zip_derived_cl497,zip_derived_cl5]) ).

thf(zip_derived_cl117,plain,
    ! [X30: $i,X31: $i,X32: $i,X33: $i] :
      ( ~ ( elem @ ( m_Down @ X30 ) @ ( queue @ ( host @ X31 ) ) )
      | ~ ( setIn @ X31 @ alive )
      | ( leq @ ( s @ zero ) @ ( sk__11 @ X33 @ X32 ) )
      | ~ ( elem @ ( m_Down @ X32 ) @ ( queue @ ( host @ X33 ) ) )
      | ( ( host @ X33 )
       != nbr_proc )
      | ( ( host @ X33 )
       != ( host @ X30 ) )
      | ( ( index @ status @ ( host @ X33 ) )
       != elec_1 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1148,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( elem @ ( m_Down @ X1 ) @ ( queue @ ( host @ X0 ) ) )
      | ~ ( setIn @ X0 @ alive )
      | ( leq @ ( s @ zero ) @ ( sk__11 @ sk__5 @ X2 ) )
      | ~ ( elem @ ( m_Down @ X2 ) @ ( queue @ nbr_proc ) )
      | ( nbr_proc != nbr_proc )
      | ( nbr_proc
       != ( host @ X1 ) )
      | ( ( index @ status @ nbr_proc )
       != elec_1 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl500,zip_derived_cl117]) ).

thf(zip_derived_cl120,plain,
    ( ( index @ status @ ( host @ sk__5 ) )
    = elec_1 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl500_004,plain,
    ( ( host @ sk__5 )
    = nbr_proc ),
    inference(demod,[status(thm)],[zip_derived_cl497,zip_derived_cl5]) ).

thf(zip_derived_cl504,plain,
    ( ( index @ status @ nbr_proc )
    = elec_1 ),
    inference(demod,[status(thm)],[zip_derived_cl120,zip_derived_cl500]) ).

thf(zip_derived_cl1150,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( elem @ ( m_Down @ X1 ) @ ( queue @ ( host @ X0 ) ) )
      | ~ ( setIn @ X0 @ alive )
      | ( leq @ ( s @ zero ) @ ( sk__11 @ sk__5 @ X2 ) )
      | ~ ( elem @ ( m_Down @ X2 ) @ ( queue @ nbr_proc ) )
      | ( nbr_proc != nbr_proc )
      | ( nbr_proc
       != ( host @ X1 ) )
      | ( elec_1 != elec_1 ) ),
    inference(demod,[status(thm)],[zip_derived_cl1148,zip_derived_cl504]) ).

thf(zip_derived_cl1151,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( nbr_proc
       != ( host @ X1 ) )
      | ~ ( elem @ ( m_Down @ X2 ) @ ( queue @ nbr_proc ) )
      | ( leq @ ( s @ zero ) @ ( sk__11 @ sk__5 @ X2 ) )
      | ~ ( setIn @ X0 @ alive )
      | ~ ( elem @ ( m_Down @ X1 ) @ ( queue @ ( host @ X0 ) ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl1150]) ).

thf(zip_derived_cl3033,plain,
    ! [X0: $i,X1: $i] :
      ( ( nbr_proc != nbr_proc )
      | ~ ( elem @ ( m_Down @ X0 ) @ ( queue @ nbr_proc ) )
      | ( leq @ ( s @ zero ) @ ( sk__11 @ sk__5 @ X0 ) )
      | ~ ( setIn @ X1 @ alive )
      | ~ ( elem @ ( m_Down @ sk__9 ) @ ( queue @ ( host @ X1 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl501,zip_derived_cl1151]) ).

thf(zip_derived_cl3035,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( elem @ ( m_Down @ sk__9 ) @ ( queue @ ( host @ X1 ) ) )
      | ~ ( setIn @ X1 @ alive )
      | ( leq @ ( s @ zero ) @ ( sk__11 @ sk__5 @ X0 ) )
      | ~ ( elem @ ( m_Down @ X0 ) @ ( queue @ nbr_proc ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl3033]) ).

thf(zip_derived_cl3759,plain,
    ! [X0: $i] :
      ( ~ ( elem @ ( m_Down @ sk__9 ) @ ( queue @ ( host @ sk__10 ) ) )
      | ( leq @ ( s @ zero ) @ ( sk__11 @ sk__5 @ X0 ) )
      | ~ ( elem @ ( m_Down @ X0 ) @ ( queue @ nbr_proc ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl121,zip_derived_cl3035]) ).

thf(zip_derived_cl122,plain,
    elem @ ( m_Down @ sk__9 ) @ ( queue @ ( host @ sk__10 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl3761,plain,
    ! [X0: $i] :
      ( ( leq @ ( s @ zero ) @ ( sk__11 @ sk__5 @ X0 ) )
      | ~ ( elem @ ( m_Down @ X0 ) @ ( queue @ nbr_proc ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl3759,zip_derived_cl122]) ).

thf(zip_derived_cl98,plain,
    ! [X0: $i] :
      ( ( X0
        = ( host @ sk__12 ) )
      | ( setIn @ X0 @ ( index @ down @ ( host @ sk__5 ) ) )
      | ~ ( leq @ ( s @ zero ) @ X0 )
      | ( leq @ ( host @ sk__5 ) @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl500_005,plain,
    ( ( host @ sk__5 )
    = nbr_proc ),
    inference(demod,[status(thm)],[zip_derived_cl497,zip_derived_cl5]) ).

thf(zip_derived_cl500_006,plain,
    ( ( host @ sk__5 )
    = nbr_proc ),
    inference(demod,[status(thm)],[zip_derived_cl497,zip_derived_cl5]) ).

thf(zip_derived_cl888,plain,
    ! [X0: $i] :
      ( ( X0
        = ( host @ sk__12 ) )
      | ( setIn @ X0 @ ( index @ down @ nbr_proc ) )
      | ~ ( leq @ ( s @ zero ) @ X0 )
      | ( leq @ nbr_proc @ X0 ) ),
    inference(demod,[status(thm)],[zip_derived_cl98,zip_derived_cl500,zip_derived_cl500]) ).

thf(zip_derived_cl5034,plain,
    ! [X0: $i] :
      ( ~ ( elem @ ( m_Down @ X0 ) @ ( queue @ nbr_proc ) )
      | ( ( sk__11 @ sk__5 @ X0 )
        = ( host @ sk__12 ) )
      | ( setIn @ ( sk__11 @ sk__5 @ X0 ) @ ( index @ down @ nbr_proc ) )
      | ( leq @ nbr_proc @ ( sk__11 @ sk__5 @ X0 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl3761,zip_derived_cl888]) ).

thf(zip_derived_cl121_007,plain,
    setIn @ sk__10 @ alive,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl501_008,plain,
    ( ( host @ sk__9 )
    = nbr_proc ),
    inference(demod,[status(thm)],[zip_derived_cl498,zip_derived_cl5]) ).

thf(zip_derived_cl500_009,plain,
    ( ( host @ sk__5 )
    = nbr_proc ),
    inference(demod,[status(thm)],[zip_derived_cl497,zip_derived_cl5]) ).

thf(zip_derived_cl116,plain,
    ! [X30: $i,X31: $i,X32: $i,X33: $i] :
      ( ~ ( elem @ ( m_Down @ X30 ) @ ( queue @ ( host @ X31 ) ) )
      | ~ ( setIn @ X31 @ alive )
      | ~ ( setIn @ ( sk__11 @ X33 @ X32 ) @ ( index @ down @ ( host @ X33 ) ) )
      | ~ ( elem @ ( m_Down @ X32 ) @ ( queue @ ( host @ X33 ) ) )
      | ( ( host @ X33 )
       != nbr_proc )
      | ( ( host @ X33 )
       != ( host @ X30 ) )
      | ( ( index @ status @ ( host @ X33 ) )
       != elec_1 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1136,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( elem @ ( m_Down @ X1 ) @ ( queue @ ( host @ X0 ) ) )
      | ~ ( setIn @ X0 @ alive )
      | ~ ( setIn @ ( sk__11 @ sk__5 @ X2 ) @ ( index @ down @ nbr_proc ) )
      | ~ ( elem @ ( m_Down @ X2 ) @ ( queue @ nbr_proc ) )
      | ( nbr_proc != nbr_proc )
      | ( nbr_proc
       != ( host @ X1 ) )
      | ( ( index @ status @ nbr_proc )
       != elec_1 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl500,zip_derived_cl116]) ).

thf(zip_derived_cl504_010,plain,
    ( ( index @ status @ nbr_proc )
    = elec_1 ),
    inference(demod,[status(thm)],[zip_derived_cl120,zip_derived_cl500]) ).

thf(zip_derived_cl1138,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( elem @ ( m_Down @ X1 ) @ ( queue @ ( host @ X0 ) ) )
      | ~ ( setIn @ X0 @ alive )
      | ~ ( setIn @ ( sk__11 @ sk__5 @ X2 ) @ ( index @ down @ nbr_proc ) )
      | ~ ( elem @ ( m_Down @ X2 ) @ ( queue @ nbr_proc ) )
      | ( nbr_proc != nbr_proc )
      | ( nbr_proc
       != ( host @ X1 ) )
      | ( elec_1 != elec_1 ) ),
    inference(demod,[status(thm)],[zip_derived_cl1136,zip_derived_cl504]) ).

thf(zip_derived_cl1139,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( nbr_proc
       != ( host @ X1 ) )
      | ~ ( elem @ ( m_Down @ X2 ) @ ( queue @ nbr_proc ) )
      | ~ ( setIn @ ( sk__11 @ sk__5 @ X2 ) @ ( index @ down @ nbr_proc ) )
      | ~ ( setIn @ X0 @ alive )
      | ~ ( elem @ ( m_Down @ X1 ) @ ( queue @ ( host @ X0 ) ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl1138]) ).

thf(zip_derived_cl2886,plain,
    ! [X0: $i,X1: $i] :
      ( ( nbr_proc != nbr_proc )
      | ~ ( elem @ ( m_Down @ X0 ) @ ( queue @ nbr_proc ) )
      | ~ ( setIn @ ( sk__11 @ sk__5 @ X0 ) @ ( index @ down @ nbr_proc ) )
      | ~ ( setIn @ X1 @ alive )
      | ~ ( elem @ ( m_Down @ sk__9 ) @ ( queue @ ( host @ X1 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl501,zip_derived_cl1139]) ).

thf(zip_derived_cl2888,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( elem @ ( m_Down @ sk__9 ) @ ( queue @ ( host @ X1 ) ) )
      | ~ ( setIn @ X1 @ alive )
      | ~ ( setIn @ ( sk__11 @ sk__5 @ X0 ) @ ( index @ down @ nbr_proc ) )
      | ~ ( elem @ ( m_Down @ X0 ) @ ( queue @ nbr_proc ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl2886]) ).

thf(zip_derived_cl3376,plain,
    ! [X0: $i] :
      ( ~ ( elem @ ( m_Down @ sk__9 ) @ ( queue @ ( host @ sk__10 ) ) )
      | ~ ( setIn @ ( sk__11 @ sk__5 @ X0 ) @ ( index @ down @ nbr_proc ) )
      | ~ ( elem @ ( m_Down @ X0 ) @ ( queue @ nbr_proc ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl121,zip_derived_cl2888]) ).

thf(zip_derived_cl122_011,plain,
    elem @ ( m_Down @ sk__9 ) @ ( queue @ ( host @ sk__10 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl3378,plain,
    ! [X0: $i] :
      ( ~ ( setIn @ ( sk__11 @ sk__5 @ X0 ) @ ( index @ down @ nbr_proc ) )
      | ~ ( elem @ ( m_Down @ X0 ) @ ( queue @ nbr_proc ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl3376,zip_derived_cl122]) ).

thf(zip_derived_cl61416,plain,
    ! [X0: $i] :
      ( ( leq @ nbr_proc @ ( sk__11 @ sk__5 @ X0 ) )
      | ( ( sk__11 @ sk__5 @ X0 )
        = ( host @ sk__12 ) )
      | ~ ( elem @ ( m_Down @ X0 ) @ ( queue @ nbr_proc ) ) ),
    inference(clc,[status(thm)],[zip_derived_cl5034,zip_derived_cl3378]) ).

thf(zip_derived_cl121_012,plain,
    setIn @ sk__10 @ alive,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl501_013,plain,
    ( ( host @ sk__9 )
    = nbr_proc ),
    inference(demod,[status(thm)],[zip_derived_cl498,zip_derived_cl5]) ).

thf(zip_derived_cl500_014,plain,
    ( ( host @ sk__5 )
    = nbr_proc ),
    inference(demod,[status(thm)],[zip_derived_cl497,zip_derived_cl5]) ).

thf(zip_derived_cl118,plain,
    ! [X30: $i,X31: $i,X32: $i,X33: $i] :
      ( ~ ( elem @ ( m_Down @ X30 ) @ ( queue @ ( host @ X31 ) ) )
      | ~ ( setIn @ X31 @ alive )
      | ~ ( leq @ ( host @ X33 ) @ ( sk__11 @ X33 @ X32 ) )
      | ~ ( elem @ ( m_Down @ X32 ) @ ( queue @ ( host @ X33 ) ) )
      | ( ( host @ X33 )
       != nbr_proc )
      | ( ( host @ X33 )
       != ( host @ X30 ) )
      | ( ( index @ status @ ( host @ X33 ) )
       != elec_1 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1168,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( elem @ ( m_Down @ X1 ) @ ( queue @ ( host @ X0 ) ) )
      | ~ ( setIn @ X0 @ alive )
      | ~ ( leq @ nbr_proc @ ( sk__11 @ sk__5 @ X2 ) )
      | ~ ( elem @ ( m_Down @ X2 ) @ ( queue @ nbr_proc ) )
      | ( nbr_proc != nbr_proc )
      | ( nbr_proc
       != ( host @ X1 ) )
      | ( ( index @ status @ nbr_proc )
       != elec_1 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl500,zip_derived_cl118]) ).

thf(zip_derived_cl504_015,plain,
    ( ( index @ status @ nbr_proc )
    = elec_1 ),
    inference(demod,[status(thm)],[zip_derived_cl120,zip_derived_cl500]) ).

thf(zip_derived_cl1170,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( elem @ ( m_Down @ X1 ) @ ( queue @ ( host @ X0 ) ) )
      | ~ ( setIn @ X0 @ alive )
      | ~ ( leq @ nbr_proc @ ( sk__11 @ sk__5 @ X2 ) )
      | ~ ( elem @ ( m_Down @ X2 ) @ ( queue @ nbr_proc ) )
      | ( nbr_proc != nbr_proc )
      | ( nbr_proc
       != ( host @ X1 ) )
      | ( elec_1 != elec_1 ) ),
    inference(demod,[status(thm)],[zip_derived_cl1168,zip_derived_cl504]) ).

thf(zip_derived_cl1171,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( nbr_proc
       != ( host @ X1 ) )
      | ~ ( elem @ ( m_Down @ X2 ) @ ( queue @ nbr_proc ) )
      | ~ ( leq @ nbr_proc @ ( sk__11 @ sk__5 @ X2 ) )
      | ~ ( setIn @ X0 @ alive )
      | ~ ( elem @ ( m_Down @ X1 ) @ ( queue @ ( host @ X0 ) ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl1170]) ).

thf(zip_derived_cl3108,plain,
    ! [X0: $i,X1: $i] :
      ( ( nbr_proc != nbr_proc )
      | ~ ( elem @ ( m_Down @ X0 ) @ ( queue @ nbr_proc ) )
      | ~ ( leq @ nbr_proc @ ( sk__11 @ sk__5 @ X0 ) )
      | ~ ( setIn @ X1 @ alive )
      | ~ ( elem @ ( m_Down @ sk__9 ) @ ( queue @ ( host @ X1 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl501,zip_derived_cl1171]) ).

thf(zip_derived_cl3110,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( elem @ ( m_Down @ sk__9 ) @ ( queue @ ( host @ X1 ) ) )
      | ~ ( setIn @ X1 @ alive )
      | ~ ( leq @ nbr_proc @ ( sk__11 @ sk__5 @ X0 ) )
      | ~ ( elem @ ( m_Down @ X0 ) @ ( queue @ nbr_proc ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl3108]) ).

thf(zip_derived_cl3205,plain,
    ! [X0: $i] :
      ( ~ ( elem @ ( m_Down @ sk__9 ) @ ( queue @ ( host @ sk__10 ) ) )
      | ~ ( leq @ nbr_proc @ ( sk__11 @ sk__5 @ X0 ) )
      | ~ ( elem @ ( m_Down @ X0 ) @ ( queue @ nbr_proc ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl121,zip_derived_cl3110]) ).

thf(zip_derived_cl122_016,plain,
    elem @ ( m_Down @ sk__9 ) @ ( queue @ ( host @ sk__10 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl3207,plain,
    ! [X0: $i] :
      ( ~ ( leq @ nbr_proc @ ( sk__11 @ sk__5 @ X0 ) )
      | ~ ( elem @ ( m_Down @ X0 ) @ ( queue @ nbr_proc ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl3205,zip_derived_cl122]) ).

thf(zip_derived_cl61417,plain,
    ! [X0: $i] :
      ( ~ ( elem @ ( m_Down @ X0 ) @ ( queue @ nbr_proc ) )
      | ( ( sk__11 @ sk__5 @ X0 )
        = ( host @ sk__12 ) ) ),
    inference(clc,[status(thm)],[zip_derived_cl61416,zip_derived_cl3207]) ).

thf(zip_derived_cl121_017,plain,
    setIn @ sk__10 @ alive,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl501_018,plain,
    ( ( host @ sk__9 )
    = nbr_proc ),
    inference(demod,[status(thm)],[zip_derived_cl498,zip_derived_cl5]) ).

thf(zip_derived_cl500_019,plain,
    ( ( host @ sk__5 )
    = nbr_proc ),
    inference(demod,[status(thm)],[zip_derived_cl497,zip_derived_cl5]) ).

thf(zip_derived_cl115,plain,
    ! [X30: $i,X31: $i,X32: $i,X33: $i] :
      ( ~ ( elem @ ( m_Down @ X30 ) @ ( queue @ ( host @ X31 ) ) )
      | ~ ( setIn @ X31 @ alive )
      | ( ( sk__11 @ X33 @ X32 )
       != ( host @ X32 ) )
      | ~ ( elem @ ( m_Down @ X32 ) @ ( queue @ ( host @ X33 ) ) )
      | ( ( host @ X33 )
       != nbr_proc )
      | ( ( host @ X33 )
       != ( host @ X30 ) )
      | ( ( index @ status @ ( host @ X33 ) )
       != elec_1 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1118,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( elem @ ( m_Down @ X1 ) @ ( queue @ ( host @ X0 ) ) )
      | ~ ( setIn @ X0 @ alive )
      | ( ( sk__11 @ sk__5 @ X2 )
       != ( host @ X2 ) )
      | ~ ( elem @ ( m_Down @ X2 ) @ ( queue @ nbr_proc ) )
      | ( nbr_proc != nbr_proc )
      | ( nbr_proc
       != ( host @ X1 ) )
      | ( ( index @ status @ nbr_proc )
       != elec_1 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl500,zip_derived_cl115]) ).

thf(zip_derived_cl504_020,plain,
    ( ( index @ status @ nbr_proc )
    = elec_1 ),
    inference(demod,[status(thm)],[zip_derived_cl120,zip_derived_cl500]) ).

thf(zip_derived_cl1120,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( elem @ ( m_Down @ X1 ) @ ( queue @ ( host @ X0 ) ) )
      | ~ ( setIn @ X0 @ alive )
      | ( ( sk__11 @ sk__5 @ X2 )
       != ( host @ X2 ) )
      | ~ ( elem @ ( m_Down @ X2 ) @ ( queue @ nbr_proc ) )
      | ( nbr_proc != nbr_proc )
      | ( nbr_proc
       != ( host @ X1 ) )
      | ( elec_1 != elec_1 ) ),
    inference(demod,[status(thm)],[zip_derived_cl1118,zip_derived_cl504]) ).

thf(zip_derived_cl1121,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( nbr_proc
       != ( host @ X1 ) )
      | ~ ( elem @ ( m_Down @ X2 ) @ ( queue @ nbr_proc ) )
      | ( ( sk__11 @ sk__5 @ X2 )
       != ( host @ X2 ) )
      | ~ ( setIn @ X0 @ alive )
      | ~ ( elem @ ( m_Down @ X1 ) @ ( queue @ ( host @ X0 ) ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl1120]) ).

thf(zip_derived_cl2499,plain,
    ! [X0: $i,X1: $i] :
      ( ( nbr_proc != nbr_proc )
      | ~ ( elem @ ( m_Down @ X0 ) @ ( queue @ nbr_proc ) )
      | ( ( sk__11 @ sk__5 @ X0 )
       != ( host @ X0 ) )
      | ~ ( setIn @ X1 @ alive )
      | ~ ( elem @ ( m_Down @ sk__9 ) @ ( queue @ ( host @ X1 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl501,zip_derived_cl1121]) ).

thf(zip_derived_cl2501,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( elem @ ( m_Down @ sk__9 ) @ ( queue @ ( host @ X1 ) ) )
      | ~ ( setIn @ X1 @ alive )
      | ( ( sk__11 @ sk__5 @ X0 )
       != ( host @ X0 ) )
      | ~ ( elem @ ( m_Down @ X0 ) @ ( queue @ nbr_proc ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl2499]) ).

thf(zip_derived_cl2534,plain,
    ! [X0: $i] :
      ( ~ ( elem @ ( m_Down @ sk__9 ) @ ( queue @ ( host @ sk__10 ) ) )
      | ( ( sk__11 @ sk__5 @ X0 )
       != ( host @ X0 ) )
      | ~ ( elem @ ( m_Down @ X0 ) @ ( queue @ nbr_proc ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl121,zip_derived_cl2501]) ).

thf(zip_derived_cl122_021,plain,
    elem @ ( m_Down @ sk__9 ) @ ( queue @ ( host @ sk__10 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl2536,plain,
    ! [X0: $i] :
      ( ( ( sk__11 @ sk__5 @ X0 )
       != ( host @ X0 ) )
      | ~ ( elem @ ( m_Down @ X0 ) @ ( queue @ nbr_proc ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl2534,zip_derived_cl122]) ).

thf(zip_derived_cl61418,plain,
    ! [X0: $i] :
      ( ~ ( elem @ ( m_Down @ X0 ) @ ( queue @ nbr_proc ) )
      | ( ( host @ sk__12 )
       != ( host @ X0 ) )
      | ~ ( elem @ ( m_Down @ X0 ) @ ( queue @ nbr_proc ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl61417,zip_derived_cl2536]) ).

thf(zip_derived_cl61435,plain,
    ! [X0: $i] :
      ( ( ( host @ sk__12 )
       != ( host @ X0 ) )
      | ~ ( elem @ ( m_Down @ X0 ) @ ( queue @ nbr_proc ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl61418]) ).

thf(zip_derived_cl61459,plain,
    ~ ( elem @ ( m_Down @ sk__12 ) @ ( queue @ nbr_proc ) ),
    inference(eq_res,[status(thm)],[zip_derived_cl61435]) ).

thf(zip_derived_cl100,plain,
    ( ( queue @ ( host @ sk__5 ) )
    = ( cons @ ( m_Down @ sk__12 ) @ sk__3 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl500_022,plain,
    ( ( host @ sk__5 )
    = nbr_proc ),
    inference(demod,[status(thm)],[zip_derived_cl497,zip_derived_cl5]) ).

thf(zip_derived_cl503,plain,
    ( ( queue @ nbr_proc )
    = ( cons @ ( m_Down @ sk__12 ) @ sk__3 ) ),
    inference(demod,[status(thm)],[zip_derived_cl100,zip_derived_cl500]) ).

thf(axiom_46,axiom,
    ! [X: $i,Y: $i,Q: $i] :
      ( ( elem @ X @ ( cons @ Y @ Q ) )
    <=> ( ( X = Y )
        | ( elem @ X @ Q ) ) ) ).

thf(zip_derived_cl53,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( elem @ X0 @ ( cons @ X1 @ X2 ) )
      | ( X0 != X1 ) ),
    inference(cnf,[status(esa)],[axiom_46]) ).

thf(zip_derived_cl597,plain,
    ! [X0: $i,X1: $i] : ( elem @ X1 @ ( cons @ X1 @ X0 ) ),
    inference(eq_res,[status(thm)],[zip_derived_cl53]) ).

thf(zip_derived_cl667,plain,
    elem @ ( m_Down @ sk__12 ) @ ( queue @ nbr_proc ),
    inference('s_sup+',[status(thm)],[zip_derived_cl503,zip_derived_cl597]) ).

thf(zip_derived_cl61460,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl61459,zip_derived_cl667]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SWV467+1 : TPTP v8.1.2. Released v4.0.0.
% 0.07/0.13  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.A2EKVnwd4S true
% 0.13/0.34  % Computer : n007.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 300
% 0.13/0.34  % DateTime : Tue Aug 29 06:09:43 EDT 2023
% 0.13/0.34  % CPUTime  : 
% 0.13/0.34  % Running portfolio for 300 s
% 0.13/0.34  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.34  % Number of cores: 8
% 0.13/0.35  % Python version: Python 3.6.8
% 0.13/0.35  % Running in FO mode
% 0.56/0.65  % Total configuration time : 435
% 0.56/0.65  % Estimated wc time : 1092
% 0.56/0.65  % Estimated cpu time (7 cpus) : 156.0
% 0.56/0.69  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.56/0.73  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.56/0.73  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.56/0.74  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.57/0.75  % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.57/0.75  % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.57/0.75  % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 129.25/19.05  % Solved by fo/fo6_bce.sh.
% 129.25/19.05  % BCE start: 135
% 129.25/19.05  % BCE eliminated: 0
% 129.25/19.05  % PE start: 135
% 129.25/19.05  logic: eq
% 129.25/19.05  % PE eliminated: 0
% 129.25/19.05  % done 5364 iterations in 18.332s
% 129.25/19.05  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 129.25/19.05  % SZS output start Refutation
% See solution above
% 129.25/19.05  
% 129.25/19.05  
% 129.25/19.05  % Terminating...
% 129.25/19.10  % Runner terminated.
% 129.25/19.11  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------