TSTP Solution File: SWV475+1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SWV475+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.msfj02U03t true

% Computer : n027.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 00:10:08 EDT 2023

% Result   : Theorem 9.53s 2.10s
% Output   : Refutation 9.53s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   21
%            Number of leaves      :   41
% Syntax   : Number of formulae    :  156 (  78 unt;  32 typ;   0 def)
%            Number of atoms       :  466 ( 231 equ;   0 cnn)
%            Maximal formula atoms :  127 (   3 avg)
%            Number of connectives : 1868 ( 139   ~;  97   |; 185   &;1387   @)
%                                         (   3 <=>;  57  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   36 (   5 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   19 (  19   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   34 (  32 usr;  21 con; 0-2 aty)
%            Number of variables   :  178 (   0   ^; 178   !;   0   ?; 178   :)

% Comments : 
%------------------------------------------------------------------------------
thf(pendack_type,type,
    pendack: $i ).

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

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

thf(sk__13_type,type,
    sk__13: $i ).

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

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

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

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

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

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

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

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

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

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(status_type,type,
    status: $i ).

thf(snoc_type,type,
    snoc: $i > $i > $i ).

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

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

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

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

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

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

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

thf(acks_type,type,
    acks: $i ).

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

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

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

thf(queue_type,type,
    queue: $i > $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] :
            ( ( ( Pid0 != Z )
              & ( ( host @ Pid0 )
                = ( host @ Z ) ) )
           => ( ~ ( setIn @ Z @ alive )
              | ~ ( setIn @ Pid0 @ alive ) ) )
        & ! [Z: $i] :
            ( ( ( ( ( index @ status @ ( host @ Z ) )
                  = elec_1 )
                | ( ( index @ status @ ( host @ Z ) )
                  = elec_2 ) )
              & ( setIn @ Z @ alive ) )
           => ( ( index @ elid @ ( host @ Z ) )
              = Z ) )
        & ! [Z: $i,Pid0: $i] :
            ( ( ( setIn @ Z @ alive )
              & ( setIn @ Pid0 @ alive )
              & ( setIn @ ( host @ Pid0 ) @ ( index @ down @ ( host @ Z ) ) )
              & ( ( index @ status @ ( host @ Pid0 ) )
                = elec_2 ) )
           => ( leq @ ( index @ pendack @ ( host @ Pid0 ) ) @ ( host @ Z ) ) )
        & ! [Z: $i,Pid0: $i] :
            ( ( ( setIn @ Pid0 @ alive )
              & ( ( index @ status @ ( host @ Pid0 ) )
                = norm )
              & ( ( index @ ldr @ ( host @ Pid0 ) )
                = ( host @ Pid0 ) ) )
           => ~ ( ( setIn @ Z @ alive )
                & ( setIn @ ( host @ Pid0 ) @ ( index @ down @ ( host @ Z ) ) ) ) )
        & ! [Z: $i,Pid20: $i,Pid0: $i] :
            ( ( ( setIn @ Z @ alive )
              & ( setIn @ Pid0 @ alive )
              & ( elem @ ( m_Down @ Pid20 ) @ ( queue @ ( host @ Z ) ) )
              & ( ( host @ Pid0 )
                = ( host @ Pid20 ) )
              & ( ( index @ status @ ( host @ Pid0 ) )
                = elec_2 ) )
           => ( leq @ ( index @ pendack @ ( host @ Pid0 ) ) @ ( host @ Z ) ) )
        & ! [Z: $i,Pid20: $i,Pid0: $i] :
            ( ( ( setIn @ Pid0 @ alive )
              & ( ( host @ Pid20 )
                = ( host @ Pid0 ) )
              & ( ( index @ status @ ( host @ Pid0 ) )
                = norm )
              & ( ( index @ ldr @ ( host @ Pid0 ) )
                = ( host @ Pid0 ) ) )
           => ~ ( ( setIn @ Z @ alive )
                & ( elem @ ( m_Down @ Pid20 ) @ ( queue @ ( host @ Z ) ) ) ) )
        & ! [Z: $i,Pid0: $i] :
            ( ( ( setIn @ Z @ alive )
              & ( setIn @ Pid0 @ alive )
              & ( ( index @ ldr @ ( host @ Z ) )
                = ( host @ Z ) )
              & ( ( index @ status @ ( host @ Z ) )
                = norm )
              & ( ( index @ status @ ( host @ Pid0 ) )
                = norm )
              & ( ( index @ ldr @ ( host @ Pid0 ) )
                = ( host @ Pid0 ) ) )
           => ( Pid0 = Z ) )
        & ! [Z: $i,Pid20: $i,Pid0: $i] :
            ( ( ~ ( leq @ ( host @ Pid20 ) @ ( host @ Pid0 ) )
              & ( 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,Pid30: $i,Pid20: $i,Pid0: $i] :
            ( ( ( ( host @ Pid20 )
               != ( host @ Z ) )
              & ( setIn @ Z @ alive )
              & ( setIn @ Pid20 @ alive )
              & ( ( host @ Pid30 )
                = ( host @ Z ) )
              & ( ( host @ Pid0 )
                = ( host @ Pid20 ) ) )
           => ~ ( ( elem @ ( m_Down @ Pid0 ) @ ( queue @ ( host @ Z ) ) )
                & ( elem @ ( m_Down @ Pid30 ) @ ( queue @ ( host @ Pid20 ) ) ) ) )
        & ! [Z: $i,Pid30: $i,Pid20: $i,Pid0: $i] :
            ( ( ( ( host @ Pid20 )
               != ( host @ Z ) )
              & ( setIn @ Z @ alive )
              & ( setIn @ Pid20 @ alive )
              & ( ( host @ Pid30 )
                = ( host @ Z ) )
              & ( ( host @ Pid0 )
                = ( host @ Pid20 ) ) )
           => ~ ( ( elem @ ( m_Down @ Pid0 ) @ ( queue @ ( host @ Z ) ) )
                & ( setIn @ ( host @ Pid30 ) @ ( index @ down @ ( host @ Pid20 ) ) ) ) )
        & ! [Z: $i,Pid20: $i,Pid0: $i] :
            ( ( ( ( host @ Pid0 )
               != ( host @ Pid20 ) )
              & ( setIn @ Pid0 @ alive )
              & ( elem @ ( m_Down @ Z ) @ ( queue @ ( host @ Pid0 ) ) )
              & ( ( host @ Pid20 )
                = ( host @ Z ) )
              & ( ( index @ status @ ( host @ Pid0 ) )
                = norm )
              & ( ( index @ ldr @ ( host @ Pid0 ) )
                = ( host @ Pid20 ) ) )
           => ~ ( ( setIn @ Pid20 @ alive )
                & ( ( index @ status @ ( host @ Pid20 ) )
                  = norm )
                & ( ( index @ ldr @ ( host @ Pid20 ) )
                  = ( host @ Pid20 ) ) ) )
        & ! [Z: $i,Pid20: $i,Pid0: $i] :
            ( ( ( ( host @ Pid0 )
               != ( host @ Pid20 ) )
              & ( setIn @ Pid0 @ alive )
              & ( elem @ ( m_Down @ Z ) @ ( queue @ ( host @ Pid0 ) ) )
              & ( ( host @ Pid20 )
                = ( host @ Z ) )
              & ( ( index @ status @ ( host @ Pid0 ) )
                = wait )
              & ( ( host @ ( index @ elid @ ( host @ Pid0 ) ) )
                = ( host @ Pid20 ) ) )
           => ~ ( ( setIn @ Pid20 @ alive )
                & ( ( index @ status @ ( host @ Pid20 ) )
                  = norm )
                & ( ( index @ ldr @ ( host @ Pid20 ) )
                  = ( host @ Pid20 ) ) ) )
        & ! [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 ) ) ) )
              & ( setIn @ Z @ alive )
              & ( leq @ ( host @ Z ) @ ( host @ Pid0 ) )
              & ( elem @ ( m_Down @ Pid20 ) @ ( queue @ ( host @ Pid0 ) ) )
              & ( ( host @ Pid30 )
                = ( host @ Pid0 ) )
              & ( ( index @ status @ ( host @ Z ) )
                = elec_2 )
              & ( ( index @ status @ ( host @ Pid0 ) )
                = elec_1 ) )
           => ~ ( elem @ ( m_Ack @ Z @ Pid30 ) @ ( queue @ ( host @ Z ) ) ) )
        & ! [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 ) ) ) )
              & ( setIn @ Pid0 @ alive )
              & ( leq @ nbr_proc @ ( s @ ( host @ Pid0 ) ) )
              & ( elem @ ( m_Down @ Pid20 ) @ ( queue @ ( host @ Pid0 ) ) )
              & ( elem @ ( m_Down @ Pid30 ) @ ( queue @ ( host @ Pid0 ) ) )
              & ( ( host @ Pid30 )
                = ( s @ ( host @ Pid0 ) ) )
              & ( ( index @ status @ ( host @ Pid0 ) )
                = elec_1 ) )
           => ~ ( ( setIn @ Z @ alive )
                & ( ( index @ ldr @ ( host @ Z ) )
                  = ( host @ Z ) )
                & ( ( index @ status @ ( host @ Z ) )
                  = norm ) ) )
        & ( ( queue @ ( host @ X ) )
          = ( cons @ ( m_Ack @ W @ Y ) @ V ) ) )
     => ( ( setIn @ X @ alive )
       => ( ( ( ( index @ elid @ ( host @ X ) )
              = W )
            & ( ( index @ status @ ( host @ X ) )
              = elec_2 )
            & ( ( host @ Y )
              = ( index @ pendack @ ( host @ X ) ) ) )
         => ( ( leq @ nbr_proc @ ( index @ pendack @ ( host @ X ) ) )
           => ! [Z: $i] :
                ( ( ( setIn @ ( host @ Z ) @ ( index @ acks @ ( host @ X ) ) )
                  | ( ( host @ Z )
                    = ( host @ Y ) ) )
               => ! [V0: $i] :
                    ( ( ( host @ X )
                      = ( host @ V0 ) )
                   => ! [W0: $i,X0: $i,Y0: $i] :
                        ( ( ( host @ Z )
                          = ( host @ Y0 ) )
                       => ( ( ( host @ X )
                           != ( host @ Y0 ) )
                         => ( ( ! [V1: $i] :
                                  ( ( ~ ( leq @ ( host @ Y0 ) @ V1 )
                                    & ( leq @ ( s @ zero ) @ V1 ) )
                                 => ( ( setIn @ V1 @ ( index @ down @ ( host @ Y0 ) ) )
                                    | ( V1
                                      = ( host @ X0 ) ) ) )
                              & ( setIn @ Y0 @ alive )
                              & ( leq @ nbr_proc @ ( s @ ( host @ Y0 ) ) )
                              & ( elem @ ( m_Down @ W0 ) @ ( snoc @ ( queue @ ( host @ Y0 ) ) @ ( m_Ldr @ X ) ) )
                              & ( elem @ ( m_Down @ X0 ) @ ( snoc @ ( queue @ ( host @ Y0 ) ) @ ( m_Ldr @ X ) ) )
                              & ( ( host @ W0 )
                                = ( s @ ( host @ Y0 ) ) )
                              & ( ( index @ status @ ( host @ Y0 ) )
                                = elec_1 ) )
                           => ~ ( ( 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] :
              ( ( ( Pid0 != Z )
                & ( ( host @ Pid0 )
                  = ( host @ Z ) ) )
             => ( ~ ( setIn @ Z @ alive )
                | ~ ( setIn @ Pid0 @ alive ) ) )
          & ! [Z: $i] :
              ( ( ( ( ( index @ status @ ( host @ Z ) )
                    = elec_1 )
                  | ( ( index @ status @ ( host @ Z ) )
                    = elec_2 ) )
                & ( setIn @ Z @ alive ) )
             => ( ( index @ elid @ ( host @ Z ) )
                = Z ) )
          & ! [Z: $i,Pid0: $i] :
              ( ( ( setIn @ Z @ alive )
                & ( setIn @ Pid0 @ alive )
                & ( setIn @ ( host @ Pid0 ) @ ( index @ down @ ( host @ Z ) ) )
                & ( ( index @ status @ ( host @ Pid0 ) )
                  = elec_2 ) )
             => ( leq @ ( index @ pendack @ ( host @ Pid0 ) ) @ ( host @ Z ) ) )
          & ! [Z: $i,Pid0: $i] :
              ( ( ( setIn @ Pid0 @ alive )
                & ( ( index @ status @ ( host @ Pid0 ) )
                  = norm )
                & ( ( index @ ldr @ ( host @ Pid0 ) )
                  = ( host @ Pid0 ) ) )
             => ~ ( ( setIn @ Z @ alive )
                  & ( setIn @ ( host @ Pid0 ) @ ( index @ down @ ( host @ Z ) ) ) ) )
          & ! [Z: $i,Pid20: $i,Pid0: $i] :
              ( ( ( setIn @ Z @ alive )
                & ( setIn @ Pid0 @ alive )
                & ( elem @ ( m_Down @ Pid20 ) @ ( queue @ ( host @ Z ) ) )
                & ( ( host @ Pid0 )
                  = ( host @ Pid20 ) )
                & ( ( index @ status @ ( host @ Pid0 ) )
                  = elec_2 ) )
             => ( leq @ ( index @ pendack @ ( host @ Pid0 ) ) @ ( host @ Z ) ) )
          & ! [Z: $i,Pid20: $i,Pid0: $i] :
              ( ( ( setIn @ Pid0 @ alive )
                & ( ( host @ Pid20 )
                  = ( host @ Pid0 ) )
                & ( ( index @ status @ ( host @ Pid0 ) )
                  = norm )
                & ( ( index @ ldr @ ( host @ Pid0 ) )
                  = ( host @ Pid0 ) ) )
             => ~ ( ( setIn @ Z @ alive )
                  & ( elem @ ( m_Down @ Pid20 ) @ ( queue @ ( host @ Z ) ) ) ) )
          & ! [Z: $i,Pid0: $i] :
              ( ( ( setIn @ Z @ alive )
                & ( setIn @ Pid0 @ alive )
                & ( ( index @ ldr @ ( host @ Z ) )
                  = ( host @ Z ) )
                & ( ( index @ status @ ( host @ Z ) )
                  = norm )
                & ( ( index @ status @ ( host @ Pid0 ) )
                  = norm )
                & ( ( index @ ldr @ ( host @ Pid0 ) )
                  = ( host @ Pid0 ) ) )
             => ( Pid0 = Z ) )
          & ! [Z: $i,Pid20: $i,Pid0: $i] :
              ( ( ~ ( leq @ ( host @ Pid20 ) @ ( host @ Pid0 ) )
                & ( 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,Pid30: $i,Pid20: $i,Pid0: $i] :
              ( ( ( ( host @ Pid20 )
                 != ( host @ Z ) )
                & ( setIn @ Z @ alive )
                & ( setIn @ Pid20 @ alive )
                & ( ( host @ Pid30 )
                  = ( host @ Z ) )
                & ( ( host @ Pid0 )
                  = ( host @ Pid20 ) ) )
             => ~ ( ( elem @ ( m_Down @ Pid0 ) @ ( queue @ ( host @ Z ) ) )
                  & ( elem @ ( m_Down @ Pid30 ) @ ( queue @ ( host @ Pid20 ) ) ) ) )
          & ! [Z: $i,Pid30: $i,Pid20: $i,Pid0: $i] :
              ( ( ( ( host @ Pid20 )
                 != ( host @ Z ) )
                & ( setIn @ Z @ alive )
                & ( setIn @ Pid20 @ alive )
                & ( ( host @ Pid30 )
                  = ( host @ Z ) )
                & ( ( host @ Pid0 )
                  = ( host @ Pid20 ) ) )
             => ~ ( ( elem @ ( m_Down @ Pid0 ) @ ( queue @ ( host @ Z ) ) )
                  & ( setIn @ ( host @ Pid30 ) @ ( index @ down @ ( host @ Pid20 ) ) ) ) )
          & ! [Z: $i,Pid20: $i,Pid0: $i] :
              ( ( ( ( host @ Pid0 )
                 != ( host @ Pid20 ) )
                & ( setIn @ Pid0 @ alive )
                & ( elem @ ( m_Down @ Z ) @ ( queue @ ( host @ Pid0 ) ) )
                & ( ( host @ Pid20 )
                  = ( host @ Z ) )
                & ( ( index @ status @ ( host @ Pid0 ) )
                  = norm )
                & ( ( index @ ldr @ ( host @ Pid0 ) )
                  = ( host @ Pid20 ) ) )
             => ~ ( ( setIn @ Pid20 @ alive )
                  & ( ( index @ status @ ( host @ Pid20 ) )
                    = norm )
                  & ( ( index @ ldr @ ( host @ Pid20 ) )
                    = ( host @ Pid20 ) ) ) )
          & ! [Z: $i,Pid20: $i,Pid0: $i] :
              ( ( ( ( host @ Pid0 )
                 != ( host @ Pid20 ) )
                & ( setIn @ Pid0 @ alive )
                & ( elem @ ( m_Down @ Z ) @ ( queue @ ( host @ Pid0 ) ) )
                & ( ( host @ Pid20 )
                  = ( host @ Z ) )
                & ( ( index @ status @ ( host @ Pid0 ) )
                  = wait )
                & ( ( host @ ( index @ elid @ ( host @ Pid0 ) ) )
                  = ( host @ Pid20 ) ) )
             => ~ ( ( setIn @ Pid20 @ alive )
                  & ( ( index @ status @ ( host @ Pid20 ) )
                    = norm )
                  & ( ( index @ ldr @ ( host @ Pid20 ) )
                    = ( host @ Pid20 ) ) ) )
          & ! [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 ) ) ) )
                & ( setIn @ Z @ alive )
                & ( leq @ ( host @ Z ) @ ( host @ Pid0 ) )
                & ( elem @ ( m_Down @ Pid20 ) @ ( queue @ ( host @ Pid0 ) ) )
                & ( ( host @ Pid30 )
                  = ( host @ Pid0 ) )
                & ( ( index @ status @ ( host @ Z ) )
                  = elec_2 )
                & ( ( index @ status @ ( host @ Pid0 ) )
                  = elec_1 ) )
             => ~ ( elem @ ( m_Ack @ Z @ Pid30 ) @ ( queue @ ( host @ Z ) ) ) )
          & ! [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 ) ) ) )
                & ( setIn @ Pid0 @ alive )
                & ( leq @ nbr_proc @ ( s @ ( host @ Pid0 ) ) )
                & ( elem @ ( m_Down @ Pid20 ) @ ( queue @ ( host @ Pid0 ) ) )
                & ( elem @ ( m_Down @ Pid30 ) @ ( queue @ ( host @ Pid0 ) ) )
                & ( ( host @ Pid30 )
                  = ( s @ ( host @ Pid0 ) ) )
                & ( ( index @ status @ ( host @ Pid0 ) )
                  = elec_1 ) )
             => ~ ( ( setIn @ Z @ alive )
                  & ( ( index @ ldr @ ( host @ Z ) )
                    = ( host @ Z ) )
                  & ( ( index @ status @ ( host @ Z ) )
                    = norm ) ) )
          & ( ( queue @ ( host @ X ) )
            = ( cons @ ( m_Ack @ W @ Y ) @ V ) ) )
       => ( ( setIn @ X @ alive )
         => ( ( ( ( index @ elid @ ( host @ X ) )
                = W )
              & ( ( index @ status @ ( host @ X ) )
                = elec_2 )
              & ( ( host @ Y )
                = ( index @ pendack @ ( host @ X ) ) ) )
           => ( ( leq @ nbr_proc @ ( index @ pendack @ ( host @ X ) ) )
             => ! [Z: $i] :
                  ( ( ( setIn @ ( host @ Z ) @ ( index @ acks @ ( host @ X ) ) )
                    | ( ( host @ Z )
                      = ( host @ Y ) ) )
                 => ! [V0: $i] :
                      ( ( ( host @ X )
                        = ( host @ V0 ) )
                     => ! [W0: $i,X0: $i,Y0: $i] :
                          ( ( ( host @ Z )
                            = ( host @ Y0 ) )
                         => ( ( ( host @ X )
                             != ( host @ Y0 ) )
                           => ( ( ! [V1: $i] :
                                    ( ( ~ ( leq @ ( host @ Y0 ) @ V1 )
                                      & ( leq @ ( s @ zero ) @ V1 ) )
                                   => ( ( setIn @ V1 @ ( index @ down @ ( host @ Y0 ) ) )
                                      | ( V1
                                        = ( host @ X0 ) ) ) )
                                & ( setIn @ Y0 @ alive )
                                & ( leq @ nbr_proc @ ( s @ ( host @ Y0 ) ) )
                                & ( elem @ ( m_Down @ W0 ) @ ( snoc @ ( queue @ ( host @ Y0 ) ) @ ( m_Ldr @ X ) ) )
                                & ( elem @ ( m_Down @ X0 ) @ ( snoc @ ( queue @ ( host @ Y0 ) ) @ ( m_Ldr @ X ) ) )
                                & ( ( host @ W0 )
                                  = ( s @ ( host @ Y0 ) ) )
                                & ( ( index @ status @ ( host @ Y0 ) )
                                  = elec_1 ) )
                             => ~ ( ( setIn @ V0 @ alive )
                                  & ( ( host @ X )
                                    = ( host @ V0 ) ) ) ) ) ) ) ) ) ) ) ),
    inference('cnf.neg',[status(esa)],[conj]) ).

thf(zip_derived_cl99,plain,
    ( ( host @ sk__11 )
    = ( s @ ( host @ sk__13 ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl105,plain,
    ( ( host @ sk__9 )
    = ( host @ sk__13 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl537,plain,
    ( ( host @ sk__11 )
    = ( s @ ( host @ sk__9 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl99,zip_derived_cl105]) ).

thf(zip_derived_cl102,plain,
    leq @ nbr_proc @ ( s @ ( host @ sk__13 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl105_001,plain,
    ( ( host @ sk__9 )
    = ( host @ sk__13 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl537_002,plain,
    ( ( host @ sk__11 )
    = ( s @ ( host @ sk__9 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl99,zip_derived_cl105]) ).

thf(zip_derived_cl542,plain,
    leq @ nbr_proc @ ( host @ sk__11 ),
    inference(demod,[status(thm)],[zip_derived_cl102,zip_derived_cl105,zip_derived_cl537]) ).

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_cl603,plain,
    ( ( ( host @ sk__11 )
      = nbr_proc )
    | ~ ( leq @ ( host @ sk__11 ) @ nbr_proc ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl542,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_cl606,plain,
    ( ( host @ sk__11 )
    = nbr_proc ),
    inference(demod,[status(thm)],[zip_derived_cl603,zip_derived_cl5]) ).

thf(zip_derived_cl608,plain,
    ( nbr_proc
    = ( s @ ( host @ sk__9 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl537,zip_derived_cl606]) ).

thf(axiom_64,axiom,
    ! [X: $i,Y: $i] :
      ( ( leq @ X @ ( s @ Y ) )
    <=> ( ( X
          = ( s @ Y ) )
        | ( leq @ X @ Y ) ) ) ).

thf(zip_derived_cl92,plain,
    ! [X0: $i,X1: $i] :
      ( ( leq @ X0 @ X1 )
      | ( X0
        = ( s @ X1 ) )
      | ~ ( leq @ X0 @ ( s @ X1 ) ) ),
    inference(cnf,[status(esa)],[axiom_64]) ).

thf(zip_derived_cl962,plain,
    ! [X0: $i] :
      ( ( leq @ X0 @ ( host @ sk__9 ) )
      | ( X0 = nbr_proc )
      | ~ ( leq @ X0 @ nbr_proc ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl608,zip_derived_cl92]) ).

thf(axiom_02,axiom,
    ! [P: $i] : ( leq @ ( s @ zero ) @ ( host @ P ) ) ).

thf(zip_derived_cl3,plain,
    ! [X0: $i] : ( leq @ ( s @ zero ) @ ( host @ X0 ) ),
    inference(cnf,[status(esa)],[axiom_02]) ).

thf(zip_derived_cl104,plain,
    ! [X0: $i] :
      ( ( X0
        = ( host @ sk__12 ) )
      | ( setIn @ X0 @ ( index @ down @ ( host @ sk__13 ) ) )
      | ~ ( leq @ ( s @ zero ) @ X0 )
      | ( leq @ ( host @ sk__13 ) @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl105_003,plain,
    ( ( host @ sk__9 )
    = ( host @ sk__13 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl105_004,plain,
    ( ( host @ sk__9 )
    = ( host @ sk__13 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1027,plain,
    ! [X0: $i] :
      ( ( X0
        = ( host @ sk__12 ) )
      | ( setIn @ X0 @ ( index @ down @ ( host @ sk__9 ) ) )
      | ~ ( leq @ ( s @ zero ) @ X0 )
      | ( leq @ ( host @ sk__9 ) @ X0 ) ),
    inference(demod,[status(thm)],[zip_derived_cl104,zip_derived_cl105,zip_derived_cl105]) ).

thf(zip_derived_cl1034,plain,
    ! [X0: $i] :
      ( ( ( host @ X0 )
        = ( host @ sk__12 ) )
      | ( setIn @ ( host @ X0 ) @ ( index @ down @ ( host @ sk__9 ) ) )
      | ( leq @ ( host @ sk__9 ) @ ( host @ X0 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl3,zip_derived_cl1027]) ).

thf(zip_derived_cl103,plain,
    setIn @ sk__13 @ alive,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl137,plain,
    setIn @ sk__5 @ alive,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl134,plain,
    ( ( index @ elid @ ( host @ sk__5 ) )
    = sk__4 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl114,plain,
    ! [X7: $i] :
      ( ( ( index @ elid @ ( host @ X7 ) )
        = X7 )
      | ~ ( setIn @ X7 @ alive )
      | ( ( index @ status @ ( host @ X7 ) )
       != elec_2 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1056,plain,
    ( ( sk__4 = sk__5 )
    | ~ ( setIn @ sk__5 @ alive )
    | ( ( index @ status @ ( host @ sk__5 ) )
     != elec_2 ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl134,zip_derived_cl114]) ).

thf(zip_derived_cl137_005,plain,
    setIn @ sk__5 @ alive,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl135,plain,
    ( ( index @ status @ ( host @ sk__5 ) )
    = elec_2 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1063,plain,
    ( ( sk__4 = sk__5 )
    | ( elec_2 != elec_2 ) ),
    inference(demod,[status(thm)],[zip_derived_cl1056,zip_derived_cl137,zip_derived_cl135]) ).

thf(zip_derived_cl1064,plain,
    sk__4 = sk__5,
    inference(simplify,[status(thm)],[zip_derived_cl1063]) ).

thf(zip_derived_cl1097,plain,
    setIn @ sk__4 @ alive,
    inference(demod,[status(thm)],[zip_derived_cl137,zip_derived_cl1064]) ).

thf(zip_derived_cl116,plain,
    ! [X8: $i,X9: $i] :
      ( ~ ( setIn @ X8 @ alive )
      | ~ ( setIn @ X9 @ alive )
      | ~ ( setIn @ ( host @ X9 ) @ ( index @ down @ ( host @ X8 ) ) )
      | ( ( index @ status @ ( host @ X9 ) )
       != elec_2 )
      | ( leq @ ( index @ pendack @ ( host @ X9 ) ) @ ( host @ X8 ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl86_006,plain,
    ! [X0: $i,X1: $i] :
      ( ( X1 = X0 )
      | ~ ( leq @ X0 @ X1 )
      | ~ ( leq @ X1 @ X0 ) ),
    inference(cnf,[status(esa)],[axiom_61]) ).

thf(zip_derived_cl1115,plain,
    ! [X0: $i,X1: $i] :
      ( ( ( index @ status @ ( host @ X1 ) )
       != elec_2 )
      | ~ ( setIn @ ( host @ X1 ) @ ( index @ down @ ( host @ X0 ) ) )
      | ~ ( setIn @ X1 @ alive )
      | ~ ( setIn @ X0 @ alive )
      | ( ( host @ X0 )
        = ( index @ pendack @ ( host @ X1 ) ) )
      | ~ ( leq @ ( host @ X0 ) @ ( index @ pendack @ ( host @ X1 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl116,zip_derived_cl86]) ).

thf(zip_derived_cl2374,plain,
    ! [X0: $i] :
      ( ( ( index @ status @ ( host @ sk__4 ) )
       != elec_2 )
      | ~ ( setIn @ ( host @ sk__4 ) @ ( index @ down @ ( host @ X0 ) ) )
      | ~ ( setIn @ X0 @ alive )
      | ( ( host @ X0 )
        = ( index @ pendack @ ( host @ sk__4 ) ) )
      | ~ ( leq @ ( host @ X0 ) @ ( index @ pendack @ ( host @ sk__4 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl1097,zip_derived_cl1115]) ).

thf(zip_derived_cl135_007,plain,
    ( ( index @ status @ ( host @ sk__5 ) )
    = elec_2 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1064_008,plain,
    sk__4 = sk__5,
    inference(simplify,[status(thm)],[zip_derived_cl1063]) ).

thf(zip_derived_cl1096,plain,
    ( ( index @ status @ ( host @ sk__4 ) )
    = elec_2 ),
    inference(demod,[status(thm)],[zip_derived_cl135,zip_derived_cl1064]) ).

thf(zip_derived_cl109,plain,
    ( ( host @ sk__8 )
    = ( index @ pendack @ ( host @ sk__5 ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl136,plain,
    leq @ nbr_proc @ ( index @ pendack @ ( host @ sk__5 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl109_009,plain,
    ( ( host @ sk__8 )
    = ( index @ pendack @ ( host @ sk__5 ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl545,plain,
    leq @ nbr_proc @ ( host @ sk__8 ),
    inference(demod,[status(thm)],[zip_derived_cl136,zip_derived_cl109]) ).

thf(zip_derived_cl86_010,plain,
    ! [X0: $i,X1: $i] :
      ( ( X1 = X0 )
      | ~ ( leq @ X0 @ X1 )
      | ~ ( leq @ X1 @ X0 ) ),
    inference(cnf,[status(esa)],[axiom_61]) ).

thf(zip_derived_cl604,plain,
    ( ( ( host @ sk__8 )
      = nbr_proc )
    | ~ ( leq @ ( host @ sk__8 ) @ nbr_proc ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl545,zip_derived_cl86]) ).

thf(zip_derived_cl5_011,plain,
    ! [X0: $i] : ( leq @ ( host @ X0 ) @ nbr_proc ),
    inference(cnf,[status(esa)],[axiom_04]) ).

thf(zip_derived_cl607,plain,
    ( ( host @ sk__8 )
    = nbr_proc ),
    inference(demod,[status(thm)],[zip_derived_cl604,zip_derived_cl5]) ).

thf(zip_derived_cl640,plain,
    ( nbr_proc
    = ( index @ pendack @ ( host @ sk__5 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl109,zip_derived_cl607]) ).

thf(zip_derived_cl1064_012,plain,
    sk__4 = sk__5,
    inference(simplify,[status(thm)],[zip_derived_cl1063]) ).

thf(zip_derived_cl1107,plain,
    ( nbr_proc
    = ( index @ pendack @ ( host @ sk__4 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl640,zip_derived_cl1064]) ).

thf(zip_derived_cl1107_013,plain,
    ( nbr_proc
    = ( index @ pendack @ ( host @ sk__4 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl640,zip_derived_cl1064]) ).

thf(zip_derived_cl5_014,plain,
    ! [X0: $i] : ( leq @ ( host @ X0 ) @ nbr_proc ),
    inference(cnf,[status(esa)],[axiom_04]) ).

thf(zip_derived_cl2376,plain,
    ! [X0: $i] :
      ( ( elec_2 != elec_2 )
      | ~ ( setIn @ ( host @ sk__4 ) @ ( index @ down @ ( host @ X0 ) ) )
      | ~ ( setIn @ X0 @ alive )
      | ( ( host @ X0 )
        = nbr_proc ) ),
    inference(demod,[status(thm)],[zip_derived_cl2374,zip_derived_cl1096,zip_derived_cl1107,zip_derived_cl1107,zip_derived_cl5]) ).

thf(zip_derived_cl2377,plain,
    ! [X0: $i] :
      ( ( ( host @ X0 )
        = nbr_proc )
      | ~ ( setIn @ X0 @ alive )
      | ~ ( setIn @ ( host @ sk__4 ) @ ( index @ down @ ( host @ X0 ) ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl2376]) ).

thf(zip_derived_cl2380,plain,
    ( ( ( host @ sk__13 )
      = nbr_proc )
    | ~ ( setIn @ ( host @ sk__4 ) @ ( index @ down @ ( host @ sk__13 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl103,zip_derived_cl2377]) ).

thf(zip_derived_cl105_015,plain,
    ( ( host @ sk__9 )
    = ( host @ sk__13 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl105_016,plain,
    ( ( host @ sk__9 )
    = ( host @ sk__13 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl2381,plain,
    ( ( ( host @ sk__9 )
      = nbr_proc )
    | ~ ( setIn @ ( host @ sk__4 ) @ ( index @ down @ ( host @ sk__9 ) ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl2380,zip_derived_cl105,zip_derived_cl105]) ).

thf(zip_derived_cl537_017,plain,
    ( ( host @ sk__11 )
    = ( s @ ( host @ sk__9 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl99,zip_derived_cl105]) ).

thf(axiom_01,axiom,
    ! [P: $i,Q: $i] :
      ( ( ( s @ ( host @ P ) )
        = ( host @ Q ) )
     => ( ( host @ P )
       != ( host @ Q ) ) ) ).

thf(zip_derived_cl2,plain,
    ! [X0: $i,X1: $i] :
      ( ( ( host @ X1 )
       != ( host @ X0 ) )
      | ( ( s @ ( host @ X1 ) )
       != ( host @ X0 ) ) ),
    inference(cnf,[status(esa)],[axiom_01]) ).

thf(zip_derived_cl520,plain,
    ! [X0: $i] :
      ( ( s @ ( host @ X0 ) )
     != ( host @ X0 ) ),
    inference(eq_res,[status(thm)],[zip_derived_cl2]) ).

thf(zip_derived_cl539,plain,
    ( ( host @ sk__11 )
   != ( host @ sk__9 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl537,zip_derived_cl520]) ).

thf(zip_derived_cl606_018,plain,
    ( ( host @ sk__11 )
    = nbr_proc ),
    inference(demod,[status(thm)],[zip_derived_cl603,zip_derived_cl5]) ).

thf(zip_derived_cl610,plain,
    ( nbr_proc
   != ( host @ sk__9 ) ),
    inference(demod,[status(thm)],[zip_derived_cl539,zip_derived_cl606]) ).

thf(zip_derived_cl2382,plain,
    ~ ( setIn @ ( host @ sk__4 ) @ ( index @ down @ ( host @ sk__9 ) ) ),
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl2381,zip_derived_cl610]) ).

thf(zip_derived_cl2393,plain,
    ( ( leq @ ( host @ sk__9 ) @ ( host @ sk__4 ) )
    | ( ( host @ sk__4 )
      = ( host @ sk__12 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl1034,zip_derived_cl2382]) ).

thf(zip_derived_cl86_019,plain,
    ! [X0: $i,X1: $i] :
      ( ( X1 = X0 )
      | ~ ( leq @ X0 @ X1 )
      | ~ ( leq @ X1 @ X0 ) ),
    inference(cnf,[status(esa)],[axiom_61]) ).

thf(zip_derived_cl2417,plain,
    ( ( ( host @ sk__4 )
      = ( host @ sk__12 ) )
    | ( ( host @ sk__4 )
      = ( host @ sk__9 ) )
    | ~ ( leq @ ( host @ sk__4 ) @ ( host @ sk__9 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl2393,zip_derived_cl86]) ).

thf(zip_derived_cl97,plain,
    ( ( host @ sk__5 )
   != ( host @ sk__13 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl105_020,plain,
    ( ( host @ sk__9 )
    = ( host @ sk__13 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl521,plain,
    ( ( host @ sk__5 )
   != ( host @ sk__9 ) ),
    inference(demod,[status(thm)],[zip_derived_cl97,zip_derived_cl105]) ).

thf(zip_derived_cl1064_021,plain,
    sk__4 = sk__5,
    inference(simplify,[status(thm)],[zip_derived_cl1063]) ).

thf(zip_derived_cl1098,plain,
    ( ( host @ sk__4 )
   != ( host @ sk__9 ) ),
    inference(demod,[status(thm)],[zip_derived_cl521,zip_derived_cl1064]) ).

thf(zip_derived_cl2427,plain,
    ( ( ( host @ sk__4 )
      = ( host @ sk__12 ) )
    | ~ ( leq @ ( host @ sk__4 ) @ ( host @ sk__9 ) ) ),
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl2417,zip_derived_cl1098]) ).

thf(zip_derived_cl3642,plain,
    ( ~ ( leq @ ( host @ sk__4 ) @ nbr_proc )
    | ( ( host @ sk__4 )
      = nbr_proc )
    | ( ( host @ sk__4 )
      = ( host @ sk__12 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl962,zip_derived_cl2427]) ).

thf(zip_derived_cl5_022,plain,
    ! [X0: $i] : ( leq @ ( host @ X0 ) @ nbr_proc ),
    inference(cnf,[status(esa)],[axiom_04]) ).

thf(zip_derived_cl3645,plain,
    ( ( ( host @ sk__4 )
      = nbr_proc )
    | ( ( host @ sk__4 )
      = ( host @ sk__12 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl3642,zip_derived_cl5]) ).

thf(zip_derived_cl606_023,plain,
    ( ( host @ sk__11 )
    = nbr_proc ),
    inference(demod,[status(thm)],[zip_derived_cl603,zip_derived_cl5]) ).

thf(zip_derived_cl1097_024,plain,
    setIn @ sk__4 @ alive,
    inference(demod,[status(thm)],[zip_derived_cl137,zip_derived_cl1064]) ).

thf(zip_derived_cl103_025,plain,
    setIn @ sk__13 @ alive,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl118,plain,
    ! [X12: $i,X13: $i,X14: $i] :
      ( ~ ( elem @ ( m_Down @ X12 ) @ ( queue @ ( host @ X13 ) ) )
      | ~ ( setIn @ X13 @ alive )
      | ~ ( setIn @ X14 @ alive )
      | ( ( host @ X14 )
       != ( host @ X12 ) )
      | ( ( index @ status @ ( host @ X14 ) )
       != elec_2 )
      | ( leq @ ( index @ pendack @ ( host @ X14 ) ) @ ( host @ X13 ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1152,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( elem @ ( m_Down @ X0 ) @ ( queue @ ( host @ sk__13 ) ) )
      | ~ ( setIn @ X1 @ alive )
      | ( ( host @ X1 )
       != ( host @ X0 ) )
      | ( ( index @ status @ ( host @ X1 ) )
       != elec_2 )
      | ( leq @ ( index @ pendack @ ( host @ X1 ) ) @ ( host @ sk__13 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl103,zip_derived_cl118]) ).

thf(zip_derived_cl105_026,plain,
    ( ( host @ sk__9 )
    = ( host @ sk__13 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl105_027,plain,
    ( ( host @ sk__9 )
    = ( host @ sk__13 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1153,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( elem @ ( m_Down @ X0 ) @ ( queue @ ( host @ sk__9 ) ) )
      | ~ ( setIn @ X1 @ alive )
      | ( ( host @ X1 )
       != ( host @ X0 ) )
      | ( ( index @ status @ ( host @ X1 ) )
       != elec_2 )
      | ( leq @ ( index @ pendack @ ( host @ X1 ) ) @ ( host @ sk__9 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl1152,zip_derived_cl105,zip_derived_cl105]) ).

thf(zip_derived_cl2600,plain,
    ! [X0: $i] :
      ( ~ ( elem @ ( m_Down @ X0 ) @ ( queue @ ( host @ sk__9 ) ) )
      | ( ( host @ sk__4 )
       != ( host @ X0 ) )
      | ( ( index @ status @ ( host @ sk__4 ) )
       != elec_2 )
      | ( leq @ ( index @ pendack @ ( host @ sk__4 ) ) @ ( host @ sk__9 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl1097,zip_derived_cl1153]) ).

thf(zip_derived_cl1096_028,plain,
    ( ( index @ status @ ( host @ sk__4 ) )
    = elec_2 ),
    inference(demod,[status(thm)],[zip_derived_cl135,zip_derived_cl1064]) ).

thf(zip_derived_cl1107_029,plain,
    ( nbr_proc
    = ( index @ pendack @ ( host @ sk__4 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl640,zip_derived_cl1064]) ).

thf(zip_derived_cl537_030,plain,
    ( ( host @ sk__11 )
    = ( s @ ( host @ sk__9 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl99,zip_derived_cl105]) ).

thf(axiom_58,axiom,
    ! [X: $i] :
      ~ ( leq @ ( s @ X ) @ X ) ).

thf(zip_derived_cl83,plain,
    ! [X0: $i] :
      ~ ( leq @ ( s @ X0 ) @ X0 ),
    inference(cnf,[status(esa)],[axiom_58]) ).

thf(zip_derived_cl538,plain,
    ~ ( leq @ ( host @ sk__11 ) @ ( host @ sk__9 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl537,zip_derived_cl83]) ).

thf(zip_derived_cl606_031,plain,
    ( ( host @ sk__11 )
    = nbr_proc ),
    inference(demod,[status(thm)],[zip_derived_cl603,zip_derived_cl5]) ).

thf(zip_derived_cl609,plain,
    ~ ( leq @ nbr_proc @ ( host @ sk__9 ) ),
    inference(demod,[status(thm)],[zip_derived_cl538,zip_derived_cl606]) ).

thf(zip_derived_cl2602,plain,
    ! [X0: $i] :
      ( ~ ( elem @ ( m_Down @ X0 ) @ ( queue @ ( host @ sk__9 ) ) )
      | ( ( host @ sk__4 )
       != ( host @ X0 ) )
      | ( elec_2 != elec_2 ) ),
    inference(demod,[status(thm)],[zip_derived_cl2600,zip_derived_cl1096,zip_derived_cl1107,zip_derived_cl609]) ).

thf(zip_derived_cl2603,plain,
    ! [X0: $i] :
      ( ( ( host @ sk__4 )
       != ( host @ X0 ) )
      | ~ ( elem @ ( m_Down @ X0 ) @ ( queue @ ( host @ sk__9 ) ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl2602]) ).

thf(zip_derived_cl2608,plain,
    ( ( ( host @ sk__4 )
     != nbr_proc )
    | ~ ( elem @ ( m_Down @ sk__11 ) @ ( queue @ ( host @ sk__9 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl606,zip_derived_cl2603]) ).

thf(zip_derived_cl101,plain,
    elem @ ( m_Down @ sk__11 ) @ ( snoc @ ( queue @ ( host @ sk__13 ) ) @ ( m_Ldr @ sk__5 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl105_032,plain,
    ( ( host @ sk__9 )
    = ( host @ sk__13 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1024,plain,
    elem @ ( m_Down @ sk__11 ) @ ( snoc @ ( queue @ ( host @ sk__9 ) ) @ ( m_Ldr @ sk__5 ) ),
    inference(demod,[status(thm)],[zip_derived_cl101,zip_derived_cl105]) ).

thf(axiom_47,axiom,
    ! [X: $i,Y: $i,Q: $i] :
      ( ( elem @ X @ ( snoc @ Q @ Y ) )
    <=> ( ( X = Y )
        | ( elem @ X @ Q ) ) ) ).

thf(zip_derived_cl55,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( elem @ X0 @ X1 )
      | ( X0 = X2 )
      | ~ ( elem @ X0 @ ( snoc @ X1 @ X2 ) ) ),
    inference(cnf,[status(esa)],[axiom_47]) ).

thf(zip_derived_cl1025,plain,
    ( ( elem @ ( m_Down @ sk__11 ) @ ( queue @ ( host @ sk__9 ) ) )
    | ( ( m_Down @ sk__11 )
      = ( m_Ldr @ sk__5 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl1024,zip_derived_cl55]) ).

thf(axiom_18,axiom,
    ! [X: $i,Y: $i] :
      ( ( m_Down @ X )
     != ( m_Ldr @ Y ) ) ).

thf(zip_derived_cl19,plain,
    ! [X0: $i,X1: $i] :
      ( ( m_Down @ X1 )
     != ( m_Ldr @ X0 ) ),
    inference(cnf,[status(esa)],[axiom_18]) ).

thf(zip_derived_cl1026,plain,
    elem @ ( m_Down @ sk__11 ) @ ( queue @ ( host @ sk__9 ) ),
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl1025,zip_derived_cl19]) ).

thf(zip_derived_cl2611,plain,
    ( ( host @ sk__4 )
   != nbr_proc ),
    inference(demod,[status(thm)],[zip_derived_cl2608,zip_derived_cl1026]) ).

thf(zip_derived_cl3646,plain,
    ( ( host @ sk__4 )
    = ( host @ sk__12 ) ),
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl3645,zip_derived_cl2611]) ).

thf(zip_derived_cl2603_033,plain,
    ! [X0: $i] :
      ( ( ( host @ sk__4 )
       != ( host @ X0 ) )
      | ~ ( elem @ ( m_Down @ X0 ) @ ( queue @ ( host @ sk__9 ) ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl2602]) ).

thf(zip_derived_cl3738,plain,
    ( ( ( host @ sk__4 )
     != ( host @ sk__4 ) )
    | ~ ( elem @ ( m_Down @ sk__12 ) @ ( queue @ ( host @ sk__9 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl3646,zip_derived_cl2603]) ).

thf(zip_derived_cl100,plain,
    elem @ ( m_Down @ sk__12 ) @ ( snoc @ ( queue @ ( host @ sk__13 ) ) @ ( m_Ldr @ sk__5 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl105_034,plain,
    ( ( host @ sk__9 )
    = ( host @ sk__13 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1009,plain,
    elem @ ( m_Down @ sk__12 ) @ ( snoc @ ( queue @ ( host @ sk__9 ) ) @ ( m_Ldr @ sk__5 ) ),
    inference(demod,[status(thm)],[zip_derived_cl100,zip_derived_cl105]) ).

thf(zip_derived_cl55_035,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( elem @ X0 @ X1 )
      | ( X0 = X2 )
      | ~ ( elem @ X0 @ ( snoc @ X1 @ X2 ) ) ),
    inference(cnf,[status(esa)],[axiom_47]) ).

thf(zip_derived_cl1010,plain,
    ( ( elem @ ( m_Down @ sk__12 ) @ ( queue @ ( host @ sk__9 ) ) )
    | ( ( m_Down @ sk__12 )
      = ( m_Ldr @ sk__5 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl1009,zip_derived_cl55]) ).

thf(zip_derived_cl19_036,plain,
    ! [X0: $i,X1: $i] :
      ( ( m_Down @ X1 )
     != ( m_Ldr @ X0 ) ),
    inference(cnf,[status(esa)],[axiom_18]) ).

thf(zip_derived_cl1011,plain,
    elem @ ( m_Down @ sk__12 ) @ ( queue @ ( host @ sk__9 ) ),
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl1010,zip_derived_cl19]) ).

thf(zip_derived_cl3777,plain,
    ( ( host @ sk__4 )
   != ( host @ sk__4 ) ),
    inference(demod,[status(thm)],[zip_derived_cl3738,zip_derived_cl1011]) ).

thf(zip_derived_cl3778,plain,
    $false,
    inference(simplify,[status(thm)],[zip_derived_cl3777]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : SWV475+1 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.14  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.msfj02U03t true
% 0.14/0.35  % Computer : n027.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 : Tue Aug 29 08:25:38 EDT 2023
% 0.14/0.35  % CPUTime  : 
% 0.14/0.35  % Running portfolio for 300 s
% 0.14/0.35  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.35  % Number of cores: 8
% 0.14/0.35  % Python version: Python 3.6.8
% 0.14/0.35  % Running in FO mode
% 0.21/0.65  % Total configuration time : 435
% 0.21/0.65  % Estimated wc time : 1092
% 0.21/0.65  % Estimated cpu time (7 cpus) : 156.0
% 0.21/0.71  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.21/0.71  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.21/0.72  % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.21/0.74  % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.21/0.76  % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.21/0.76  % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.21/0.77  % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 9.53/2.10  % Solved by fo/fo6_bce.sh.
% 9.53/2.10  % BCE start: 138
% 9.53/2.10  % BCE eliminated: 0
% 9.53/2.10  % PE start: 138
% 9.53/2.10  logic: eq
% 9.53/2.10  % PE eliminated: 0
% 9.53/2.10  % done 963 iterations in 1.335s
% 9.53/2.10  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 9.53/2.10  % SZS output start Refutation
% See solution above
% 9.53/2.10  
% 9.53/2.10  
% 9.53/2.10  % Terminating...
% 10.76/2.18  % Runner terminated.
% 10.76/2.19  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------