TSTP Solution File: SWV478+1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SWV478+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.qkHficCbS0 true

% Computer : n028.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 00:10:09 EDT 2023

% Result   : Theorem 7.59s 1.68s
% Output   : Refutation 7.59s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   20
%            Number of leaves      :   39
% Syntax   : Number of formulae    :  130 (  61 unt;  31 typ;   0 def)
%            Number of atoms       :  424 ( 194 equ;   0 cnn)
%            Maximal formula atoms :  126 (   4 avg)
%            Number of connectives : 1741 ( 120   ~;  81   |; 183   &;1296   @)
%                                         (   3 <=>;  58  =>;   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     :   33 (  31 usr;  20 con; 0-2 aty)
%            Number of variables   :  167 (   0   ^; 167   !;   0   ?; 167   :)

% Comments : 
%------------------------------------------------------------------------------
thf(sk__6_type,type,
    sk__6: $i ).

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

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

thf(m_Ack_type,type,
    m_Ack: $i > $i > $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(sk__10_type,type,
    sk__10: $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(sk__13_type,type,
    sk__13: $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__9_type,type,
    sk__9: $i ).

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

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

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

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

thf(cons_type,type,
    cons: $i > $i > $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_Down @ Y ) @ V ) ) )
     => ( ( setIn @ X @ alive )
       => ( ( leq @ ( host @ X ) @ ( host @ Y ) )
         => ( ( ( ( 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 ) ) )
                 => ! [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_Down @ Y ) @ V ) ) )
       => ( ( setIn @ X @ alive )
         => ( ( leq @ ( host @ X ) @ ( host @ Y ) )
           => ( ( ( ( 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 ) ) )
                   => ! [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_cl132,plain,
    ( ( host @ sk__8 )
    = ( s @ ( host @ sk__10 ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl126,plain,
    ( ( host @ sk__6 )
    = ( host @ sk__10 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl539,plain,
    ( ( host @ sk__8 )
    = ( s @ ( host @ sk__6 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl132,zip_derived_cl126]) ).

thf(zip_derived_cl129,plain,
    leq @ nbr_proc @ ( s @ ( host @ sk__10 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl126_001,plain,
    ( ( host @ sk__6 )
    = ( host @ sk__10 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl539_002,plain,
    ( ( host @ sk__8 )
    = ( s @ ( host @ sk__6 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl132,zip_derived_cl126]) ).

thf(zip_derived_cl547,plain,
    leq @ nbr_proc @ ( host @ sk__8 ),
    inference(demod,[status(thm)],[zip_derived_cl129,zip_derived_cl126,zip_derived_cl539]) ).

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_cl565,plain,
    ( ( ( host @ sk__8 )
      = nbr_proc )
    | ~ ( leq @ ( host @ sk__8 ) @ nbr_proc ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl547,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_cl568,plain,
    ( ( host @ sk__8 )
    = nbr_proc ),
    inference(demod,[status(thm)],[zip_derived_cl565,zip_derived_cl5]) ).

thf(zip_derived_cl570,plain,
    ( nbr_proc
    = ( s @ ( host @ sk__6 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl539,zip_derived_cl568]) ).

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_cl942,plain,
    ! [X0: $i] :
      ( ( leq @ X0 @ ( host @ sk__6 ) )
      | ( X0 = nbr_proc )
      | ~ ( leq @ X0 @ nbr_proc ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl570,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_cl127,plain,
    ! [X44: $i] :
      ( ( X44
        = ( host @ sk__9 ) )
      | ( setIn @ X44 @ ( index @ down @ ( host @ sk__10 ) ) )
      | ~ ( leq @ ( s @ zero ) @ X44 )
      | ( leq @ ( host @ sk__10 ) @ X44 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl126_003,plain,
    ( ( host @ sk__6 )
    = ( host @ sk__10 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl126_004,plain,
    ( ( host @ sk__6 )
    = ( host @ sk__10 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1225,plain,
    ! [X44: $i] :
      ( ( X44
        = ( host @ sk__9 ) )
      | ( setIn @ X44 @ ( index @ down @ ( host @ sk__6 ) ) )
      | ~ ( leq @ ( s @ zero ) @ X44 )
      | ( leq @ ( host @ sk__6 ) @ X44 ) ),
    inference(demod,[status(thm)],[zip_derived_cl127,zip_derived_cl126,zip_derived_cl126]) ).

thf(zip_derived_cl1231,plain,
    ! [X0: $i] :
      ( ( ( host @ X0 )
        = ( host @ sk__9 ) )
      | ( setIn @ ( host @ X0 ) @ ( index @ down @ ( host @ sk__6 ) ) )
      | ( leq @ ( host @ sk__6 ) @ ( host @ X0 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl3,zip_derived_cl1225]) ).

thf(zip_derived_cl128,plain,
    setIn @ sk__10 @ alive,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl96,plain,
    ( ( host @ sk__13 )
    = ( index @ pendack @ ( host @ sk__5 ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl122,plain,
    leq @ nbr_proc @ ( index @ pendack @ ( host @ sk__5 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl96_005,plain,
    ( ( host @ sk__13 )
    = ( index @ pendack @ ( host @ sk__5 ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl551,plain,
    leq @ nbr_proc @ ( host @ sk__13 ),
    inference(demod,[status(thm)],[zip_derived_cl122,zip_derived_cl96]) ).

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_cl566,plain,
    ( ( ( host @ sk__13 )
      = nbr_proc )
    | ~ ( leq @ ( host @ sk__13 ) @ nbr_proc ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl551,zip_derived_cl86]) ).

thf(zip_derived_cl5_007,plain,
    ! [X0: $i] : ( leq @ ( host @ X0 ) @ nbr_proc ),
    inference(cnf,[status(esa)],[axiom_04]) ).

thf(zip_derived_cl569,plain,
    ( ( host @ sk__13 )
    = nbr_proc ),
    inference(demod,[status(thm)],[zip_derived_cl566,zip_derived_cl5]) ).

thf(zip_derived_cl595,plain,
    ( nbr_proc
    = ( index @ pendack @ ( host @ sk__5 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl96,zip_derived_cl569]) ).

thf(zip_derived_cl104,plain,
    ! [X7: $i,X8: $i] :
      ( ~ ( setIn @ X7 @ alive )
      | ~ ( setIn @ X8 @ alive )
      | ~ ( setIn @ ( host @ X8 ) @ ( index @ down @ ( host @ X7 ) ) )
      | ( ( index @ status @ ( host @ X8 ) )
       != elec_2 )
      | ( leq @ ( index @ pendack @ ( host @ X8 ) ) @ ( host @ X7 ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1039,plain,
    ! [X0: $i] :
      ( ~ ( setIn @ X0 @ alive )
      | ~ ( setIn @ sk__5 @ alive )
      | ~ ( setIn @ ( host @ sk__5 ) @ ( index @ down @ ( host @ X0 ) ) )
      | ( ( index @ status @ ( host @ sk__5 ) )
       != elec_2 )
      | ( leq @ nbr_proc @ ( host @ X0 ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl595,zip_derived_cl104]) ).

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

thf(zip_derived_cl136,plain,
    ( ( index @ status @ ( host @ sk__5 ) )
    = elec_2 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1048,plain,
    ! [X0: $i] :
      ( ~ ( setIn @ X0 @ alive )
      | ~ ( setIn @ ( host @ sk__5 ) @ ( index @ down @ ( host @ X0 ) ) )
      | ( elec_2 != elec_2 )
      | ( leq @ nbr_proc @ ( host @ X0 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl1039,zip_derived_cl137,zip_derived_cl136]) ).

thf(zip_derived_cl1049,plain,
    ! [X0: $i] :
      ( ( leq @ nbr_proc @ ( host @ X0 ) )
      | ~ ( setIn @ ( host @ sk__5 ) @ ( index @ down @ ( host @ X0 ) ) )
      | ~ ( setIn @ X0 @ alive ) ),
    inference(simplify,[status(thm)],[zip_derived_cl1048]) ).

thf(zip_derived_cl1630,plain,
    ( ( leq @ nbr_proc @ ( host @ sk__10 ) )
    | ~ ( setIn @ ( host @ sk__5 ) @ ( index @ down @ ( host @ sk__10 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl128,zip_derived_cl1049]) ).

thf(zip_derived_cl126_008,plain,
    ( ( host @ sk__6 )
    = ( host @ sk__10 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl539_009,plain,
    ( ( host @ sk__8 )
    = ( s @ ( host @ sk__6 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl132,zip_derived_cl126]) ).

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_cl540,plain,
    ~ ( leq @ ( host @ sk__8 ) @ ( host @ sk__6 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl539,zip_derived_cl83]) ).

thf(zip_derived_cl568_010,plain,
    ( ( host @ sk__8 )
    = nbr_proc ),
    inference(demod,[status(thm)],[zip_derived_cl565,zip_derived_cl5]) ).

thf(zip_derived_cl571,plain,
    ~ ( leq @ nbr_proc @ ( host @ sk__6 ) ),
    inference(demod,[status(thm)],[zip_derived_cl540,zip_derived_cl568]) ).

thf(zip_derived_cl126_011,plain,
    ( ( host @ sk__6 )
    = ( host @ sk__10 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1631,plain,
    ~ ( setIn @ ( host @ sk__5 ) @ ( index @ down @ ( host @ sk__6 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl1630,zip_derived_cl126,zip_derived_cl571,zip_derived_cl126]) ).

thf(zip_derived_cl2650,plain,
    ( ( leq @ ( host @ sk__6 ) @ ( host @ sk__5 ) )
    | ( ( host @ sk__5 )
      = ( host @ sk__9 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl1231,zip_derived_cl1631]) ).

thf(zip_derived_cl86_012,plain,
    ! [X0: $i,X1: $i] :
      ( ( X1 = X0 )
      | ~ ( leq @ X0 @ X1 )
      | ~ ( leq @ X1 @ X0 ) ),
    inference(cnf,[status(esa)],[axiom_61]) ).

thf(zip_derived_cl2684,plain,
    ( ( ( host @ sk__5 )
      = ( host @ sk__9 ) )
    | ( ( host @ sk__5 )
      = ( host @ sk__6 ) )
    | ~ ( leq @ ( host @ sk__5 ) @ ( host @ sk__6 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl2650,zip_derived_cl86]) ).

thf(zip_derived_cl134,plain,
    ( ( host @ sk__5 )
   != ( host @ sk__10 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl126_013,plain,
    ( ( host @ sk__6 )
    = ( host @ sk__10 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl527,plain,
    ( ( host @ sk__5 )
   != ( host @ sk__6 ) ),
    inference(demod,[status(thm)],[zip_derived_cl134,zip_derived_cl126]) ).

thf(zip_derived_cl2694,plain,
    ( ( ( host @ sk__5 )
      = ( host @ sk__9 ) )
    | ~ ( leq @ ( host @ sk__5 ) @ ( host @ sk__6 ) ) ),
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl2684,zip_derived_cl527]) ).

thf(zip_derived_cl2705,plain,
    ( ~ ( leq @ ( host @ sk__5 ) @ nbr_proc )
    | ( ( host @ sk__5 )
      = nbr_proc )
    | ( ( host @ sk__5 )
      = ( host @ sk__9 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl942,zip_derived_cl2694]) ).

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

thf(zip_derived_cl2709,plain,
    ( ( ( host @ sk__5 )
      = nbr_proc )
    | ( ( host @ sk__5 )
      = ( host @ sk__9 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl2705,zip_derived_cl5]) ).

thf(zip_derived_cl568_015,plain,
    ( ( host @ sk__8 )
    = nbr_proc ),
    inference(demod,[status(thm)],[zip_derived_cl565,zip_derived_cl5]) ).

thf(zip_derived_cl137_016,plain,
    setIn @ sk__5 @ alive,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl128_017,plain,
    setIn @ sk__10 @ alive,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl106,plain,
    ! [X11: $i,X12: $i,X13: $i] :
      ( ~ ( elem @ ( m_Down @ X11 ) @ ( queue @ ( host @ X12 ) ) )
      | ~ ( setIn @ X12 @ alive )
      | ~ ( setIn @ X13 @ alive )
      | ( ( host @ X13 )
       != ( host @ X11 ) )
      | ( ( index @ status @ ( host @ X13 ) )
       != elec_2 )
      | ( leq @ ( index @ pendack @ ( host @ X13 ) ) @ ( host @ X12 ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1074,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( elem @ ( m_Down @ X0 ) @ ( queue @ ( host @ sk__10 ) ) )
      | ~ ( setIn @ X1 @ alive )
      | ( ( host @ X1 )
       != ( host @ X0 ) )
      | ( ( index @ status @ ( host @ X1 ) )
       != elec_2 )
      | ( leq @ ( index @ pendack @ ( host @ X1 ) ) @ ( host @ sk__10 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl128,zip_derived_cl106]) ).

thf(zip_derived_cl126_018,plain,
    ( ( host @ sk__6 )
    = ( host @ sk__10 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl126_019,plain,
    ( ( host @ sk__6 )
    = ( host @ sk__10 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1075,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( elem @ ( m_Down @ X0 ) @ ( queue @ ( host @ sk__6 ) ) )
      | ~ ( setIn @ X1 @ alive )
      | ( ( host @ X1 )
       != ( host @ X0 ) )
      | ( ( index @ status @ ( host @ X1 ) )
       != elec_2 )
      | ( leq @ ( index @ pendack @ ( host @ X1 ) ) @ ( host @ sk__6 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl1074,zip_derived_cl126,zip_derived_cl126]) ).

thf(zip_derived_cl2204,plain,
    ! [X0: $i] :
      ( ~ ( elem @ ( m_Down @ X0 ) @ ( queue @ ( host @ sk__6 ) ) )
      | ( ( host @ sk__5 )
       != ( host @ X0 ) )
      | ( ( index @ status @ ( host @ sk__5 ) )
       != elec_2 )
      | ( leq @ ( index @ pendack @ ( host @ sk__5 ) ) @ ( host @ sk__6 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl137,zip_derived_cl1075]) ).

thf(zip_derived_cl136_020,plain,
    ( ( index @ status @ ( host @ sk__5 ) )
    = elec_2 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl595_021,plain,
    ( nbr_proc
    = ( index @ pendack @ ( host @ sk__5 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl96,zip_derived_cl569]) ).

thf(zip_derived_cl571_022,plain,
    ~ ( leq @ nbr_proc @ ( host @ sk__6 ) ),
    inference(demod,[status(thm)],[zip_derived_cl540,zip_derived_cl568]) ).

thf(zip_derived_cl2206,plain,
    ! [X0: $i] :
      ( ~ ( elem @ ( m_Down @ X0 ) @ ( queue @ ( host @ sk__6 ) ) )
      | ( ( host @ sk__5 )
       != ( host @ X0 ) )
      | ( elec_2 != elec_2 ) ),
    inference(demod,[status(thm)],[zip_derived_cl2204,zip_derived_cl136,zip_derived_cl595,zip_derived_cl571]) ).

thf(zip_derived_cl2207,plain,
    ! [X0: $i] :
      ( ( ( host @ sk__5 )
       != ( host @ X0 ) )
      | ~ ( elem @ ( m_Down @ X0 ) @ ( queue @ ( host @ sk__6 ) ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl2206]) ).

thf(zip_derived_cl2211,plain,
    ( ( ( host @ sk__5 )
     != nbr_proc )
    | ~ ( elem @ ( m_Down @ sk__8 ) @ ( queue @ ( host @ sk__6 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl568,zip_derived_cl2207]) ).

thf(zip_derived_cl130,plain,
    elem @ ( m_Down @ sk__8 ) @ ( snoc @ ( queue @ ( host @ sk__10 ) ) @ ( m_Ldr @ sk__5 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl126_023,plain,
    ( ( host @ sk__6 )
    = ( host @ sk__10 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1258,plain,
    elem @ ( m_Down @ sk__8 ) @ ( snoc @ ( queue @ ( host @ sk__6 ) ) @ ( m_Ldr @ sk__5 ) ),
    inference(demod,[status(thm)],[zip_derived_cl130,zip_derived_cl126]) ).

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_cl1259,plain,
    ( ( elem @ ( m_Down @ sk__8 ) @ ( queue @ ( host @ sk__6 ) ) )
    | ( ( m_Down @ sk__8 )
      = ( m_Ldr @ sk__5 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl1258,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_cl1260,plain,
    elem @ ( m_Down @ sk__8 ) @ ( queue @ ( host @ sk__6 ) ),
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl1259,zip_derived_cl19]) ).

thf(zip_derived_cl2215,plain,
    ( ( host @ sk__5 )
   != nbr_proc ),
    inference(demod,[status(thm)],[zip_derived_cl2211,zip_derived_cl1260]) ).

thf(zip_derived_cl2710,plain,
    ( ( host @ sk__5 )
    = ( host @ sk__9 ) ),
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl2709,zip_derived_cl2215]) ).

thf(zip_derived_cl2207_024,plain,
    ! [X0: $i] :
      ( ( ( host @ sk__5 )
       != ( host @ X0 ) )
      | ~ ( elem @ ( m_Down @ X0 ) @ ( queue @ ( host @ sk__6 ) ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl2206]) ).

thf(zip_derived_cl2769,plain,
    ( ( ( host @ sk__5 )
     != ( host @ sk__5 ) )
    | ~ ( elem @ ( m_Down @ sk__9 ) @ ( queue @ ( host @ sk__6 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl2710,zip_derived_cl2207]) ).

thf(zip_derived_cl131,plain,
    elem @ ( m_Down @ sk__9 ) @ ( snoc @ ( queue @ ( host @ sk__10 ) ) @ ( m_Ldr @ sk__5 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl126_025,plain,
    ( ( host @ sk__6 )
    = ( host @ sk__10 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1267,plain,
    elem @ ( m_Down @ sk__9 ) @ ( snoc @ ( queue @ ( host @ sk__6 ) ) @ ( m_Ldr @ sk__5 ) ),
    inference(demod,[status(thm)],[zip_derived_cl131,zip_derived_cl126]) ).

thf(zip_derived_cl55_026,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_cl1268,plain,
    ( ( elem @ ( m_Down @ sk__9 ) @ ( queue @ ( host @ sk__6 ) ) )
    | ( ( m_Down @ sk__9 )
      = ( m_Ldr @ sk__5 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl1267,zip_derived_cl55]) ).

thf(zip_derived_cl19_027,plain,
    ! [X0: $i,X1: $i] :
      ( ( m_Down @ X1 )
     != ( m_Ldr @ X0 ) ),
    inference(cnf,[status(esa)],[axiom_18]) ).

thf(zip_derived_cl1269,plain,
    elem @ ( m_Down @ sk__9 ) @ ( queue @ ( host @ sk__6 ) ),
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl1268,zip_derived_cl19]) ).

thf(zip_derived_cl2803,plain,
    ( ( host @ sk__5 )
   != ( host @ sk__5 ) ),
    inference(demod,[status(thm)],[zip_derived_cl2769,zip_derived_cl1269]) ).

thf(zip_derived_cl2804,plain,
    $false,
    inference(simplify,[status(thm)],[zip_derived_cl2803]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : SWV478+1 : TPTP v8.1.2. Released v4.0.0.
% 0.12/0.13  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.qkHficCbS0 true
% 0.12/0.34  % Computer : n028.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 300
% 0.12/0.34  % DateTime : Tue Aug 29 10:27:25 EDT 2023
% 0.12/0.34  % CPUTime  : 
% 0.12/0.34  % Running portfolio for 300 s
% 0.12/0.34  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.34  % Number of cores: 8
% 0.20/0.34  % Python version: Python 3.6.8
% 0.20/0.34  % Running in FO mode
% 0.20/0.64  % Total configuration time : 435
% 0.20/0.64  % Estimated wc time : 1092
% 0.20/0.64  % Estimated cpu time (7 cpus) : 156.0
% 0.20/0.70  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.20/0.70  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.72/0.73  % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.72/0.74  % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.72/0.74  % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.72/0.74  % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.72/0.75  % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 7.59/1.68  % Solved by fo/fo6_bce.sh.
% 7.59/1.68  % BCE start: 138
% 7.59/1.68  % BCE eliminated: 0
% 7.59/1.68  % PE start: 138
% 7.59/1.68  logic: eq
% 7.59/1.68  % PE eliminated: 0
% 7.59/1.68  % done 857 iterations in 0.951s
% 7.59/1.68  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 7.59/1.68  % SZS output start Refutation
% See solution above
% 7.59/1.68  
% 7.59/1.68  
% 7.59/1.68  % Terminating...
% 7.80/1.74  % Runner terminated.
% 7.80/1.75  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------