TSTP Solution File: SWV468+1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SWV468+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.MCV56aCNIL true

% Computer : n016.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 00:10:06 EDT 2023

% Result   : Theorem 8.16s 1.72s
% Output   : Refutation 8.16s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   15
%            Number of leaves      :   34
% Syntax   : Number of formulae    :   91 (  36 unt;  29 typ;   0 def)
%            Number of atoms       :  333 ( 145 equ;   0 cnn)
%            Maximal formula atoms :  109 (   5 avg)
%            Number of connectives : 1399 ( 109   ~;  62   |; 151   &;1019   @)
%                                         (   2 <=>;  56  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   35 (   6 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   17 (  17   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   31 (  29 usr;  19 con; 0-2 aty)
%            Number of variables   :  130 (   0   ^; 130   !;   0   ?; 130   :)

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

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

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

thf(status_type,type,
    status: $i ).

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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(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] :
            ( ( ( Pid0 != Z )
              & ( ( host @ Pid0 )
                = ( host @ Z ) ) )
           => ( ~ ( setIn @ Z @ alive )
              | ~ ( setIn @ Pid0 @ alive ) ) )
        & ! [Z: $i,Pid0: $i] :
            ( ( ( setIn @ Pid0 @ alive )
              & ( ( index @ status @ ( host @ Pid0 ) )
                = elec_2 ) )
           => ~ ( elem @ ( m_Ack @ Z @ Pid0 ) @ ( queue @ ( host @ Z ) ) ) )
        & ! [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] :
            ( ( ~ ( leq @ ( host @ Pid0 ) @ ( host @ Z ) )
              & ( setIn @ Z @ alive )
              & ( setIn @ Pid0 @ alive )
              & ( ( host @ Pid0 )
                = ( host @ Pid20 ) )
              & ( ( index @ status @ ( host @ Pid0 ) )
                = elec_2 ) )
           => ~ ( elem @ ( m_Down @ 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 @ Pid0 ) ) @ ( host @ Z ) ) )
        & ! [Z: $i,Pid20: $i,Pid0: $i] :
            ( ( ( setIn @ Pid0 @ alive )
              & ( elem @ ( m_Ack @ Pid0 @ Pid20 ) @ ( queue @ ( host @ Pid0 ) ) )
              & ( ( host @ Pid20 )
                = ( host @ Z ) ) )
           => ~ ( ( setIn @ Z @ alive )
                & ( ( index @ ldr @ ( host @ Z ) )
                  = ( host @ Z ) )
                & ( ( index @ status @ ( host @ Z ) )
                  = norm ) ) )
        & ! [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,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] :
            ( ( ~ ( leq @ ( index @ pendack @ ( host @ Pid0 ) ) @ ( host @ Z ) )
              & ( setIn @ Pid0 @ alive )
              & ( ( index @ status @ ( host @ Pid0 ) )
                = elec_2 ) )
           => ~ ( ( 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 @ Z ) ) @ ( index @ pendack @ ( host @ Pid0 ) ) ) )
        & ! [Z: $i,Pid20: $i,Pid0: $i] :
            ( ( ( setIn @ Pid0 @ alive )
              & ( elem @ ( m_Down @ Pid20 ) @ ( queue @ ( host @ Pid0 ) ) )
              & ( ( host @ Pid20 )
                = ( host @ Z ) )
              & ( ( index @ status @ ( host @ Pid0 ) )
                = elec_2 ) )
           => ~ ( ( setIn @ Z @ alive )
                & ( ( index @ ldr @ ( host @ Z ) )
                  = ( host @ Z ) )
                & ( ( index @ status @ ( host @ Z ) )
                  = norm ) ) )
        & ! [Z: $i,Pid20: $i,Pid0: $i] :
            ( ( ! [V0: $i] :
                  ( ( ~ ( leq @ ( host @ Pid0 ) @ V0 )
                    & ( leq @ ( s @ zero ) @ V0 ) )
                 => ( ( setIn @ V0 @ ( index @ down @ ( host @ Pid0 ) ) )
                    | ( V0
                      = ( host @ Pid20 ) ) ) )
              & ~ ( leq @ ( host @ Pid0 ) @ ( host @ Z ) )
              & ( elem @ ( m_Down @ Pid20 ) @ ( queue @ ( 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 @ 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] :
                            ( ( ( host @ X )
                             != ( host @ W0 ) )
                           => ( ( ~ ( leq @ ( index @ pendack @ ( host @ W0 ) ) @ ( host @ V0 ) )
                                & ( setIn @ W0 @ alive )
                                & ( ( index @ status @ ( host @ W0 ) )
                                  = elec_2 ) )
                             => ~ ( ( 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] :
              ( ( ( Pid0 != Z )
                & ( ( host @ Pid0 )
                  = ( host @ Z ) ) )
             => ( ~ ( setIn @ Z @ alive )
                | ~ ( setIn @ Pid0 @ alive ) ) )
          & ! [Z: $i,Pid0: $i] :
              ( ( ( setIn @ Pid0 @ alive )
                & ( ( index @ status @ ( host @ Pid0 ) )
                  = elec_2 ) )
             => ~ ( elem @ ( m_Ack @ Z @ Pid0 ) @ ( queue @ ( host @ Z ) ) ) )
          & ! [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] :
              ( ( ~ ( leq @ ( host @ Pid0 ) @ ( host @ Z ) )
                & ( setIn @ Z @ alive )
                & ( setIn @ Pid0 @ alive )
                & ( ( host @ Pid0 )
                  = ( host @ Pid20 ) )
                & ( ( index @ status @ ( host @ Pid0 ) )
                  = elec_2 ) )
             => ~ ( elem @ ( m_Down @ 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 @ Pid0 ) ) @ ( host @ Z ) ) )
          & ! [Z: $i,Pid20: $i,Pid0: $i] :
              ( ( ( setIn @ Pid0 @ alive )
                & ( elem @ ( m_Ack @ Pid0 @ Pid20 ) @ ( queue @ ( host @ Pid0 ) ) )
                & ( ( host @ Pid20 )
                  = ( host @ Z ) ) )
             => ~ ( ( setIn @ Z @ alive )
                  & ( ( index @ ldr @ ( host @ Z ) )
                    = ( host @ Z ) )
                  & ( ( index @ status @ ( host @ Z ) )
                    = norm ) ) )
          & ! [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,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] :
              ( ( ~ ( leq @ ( index @ pendack @ ( host @ Pid0 ) ) @ ( host @ Z ) )
                & ( setIn @ Pid0 @ alive )
                & ( ( index @ status @ ( host @ Pid0 ) )
                  = elec_2 ) )
             => ~ ( ( 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 @ Z ) ) @ ( index @ pendack @ ( host @ Pid0 ) ) ) )
          & ! [Z: $i,Pid20: $i,Pid0: $i] :
              ( ( ( setIn @ Pid0 @ alive )
                & ( elem @ ( m_Down @ Pid20 ) @ ( queue @ ( host @ Pid0 ) ) )
                & ( ( host @ Pid20 )
                  = ( host @ Z ) )
                & ( ( index @ status @ ( host @ Pid0 ) )
                  = elec_2 ) )
             => ~ ( ( setIn @ Z @ alive )
                  & ( ( index @ ldr @ ( host @ Z ) )
                    = ( host @ Z ) )
                  & ( ( index @ status @ ( host @ Z ) )
                    = norm ) ) )
          & ! [Z: $i,Pid20: $i,Pid0: $i] :
              ( ( ! [V0: $i] :
                    ( ( ~ ( leq @ ( host @ Pid0 ) @ V0 )
                      & ( leq @ ( s @ zero ) @ V0 ) )
                   => ( ( setIn @ V0 @ ( index @ down @ ( host @ Pid0 ) ) )
                      | ( V0
                        = ( host @ Pid20 ) ) ) )
                & ~ ( leq @ ( host @ Pid0 ) @ ( host @ Z ) )
                & ( elem @ ( m_Down @ Pid20 ) @ ( queue @ ( 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 @ 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] :
                              ( ( ( host @ X )
                               != ( host @ W0 ) )
                             => ( ( ~ ( leq @ ( index @ pendack @ ( host @ W0 ) ) @ ( host @ V0 ) )
                                  & ( setIn @ W0 @ alive )
                                  & ( ( index @ status @ ( host @ W0 ) )
                                    = elec_2 ) )
                               => ~ ( ( setIn @ V0 @ alive )
                                    & ( ( host @ X )
                                      = ( host @ V0 ) ) ) ) ) ) ) ) ) ) ) ) ),
    inference('cnf.neg',[status(esa)],[conj]) ).

thf(zip_derived_cl98,plain,
    ! [X0: $i] :
      ( ( X0
        = ( host @ sk__10 ) )
      | ( 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_cl130,plain,
    leq @ nbr_proc @ ( host @ sk__5 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

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_cl501,plain,
    ( ( ( host @ sk__5 )
      = nbr_proc )
    | ~ ( leq @ ( host @ sk__5 ) @ nbr_proc ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl130,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_cl503,plain,
    ( ( host @ sk__5 )
    = nbr_proc ),
    inference(demod,[status(thm)],[zip_derived_cl501,zip_derived_cl5]) ).

thf(zip_derived_cl503_001,plain,
    ( ( host @ sk__5 )
    = nbr_proc ),
    inference(demod,[status(thm)],[zip_derived_cl501,zip_derived_cl5]) ).

thf(zip_derived_cl861,plain,
    ! [X0: $i] :
      ( ( X0
        = ( host @ sk__10 ) )
      | ( setIn @ X0 @ ( index @ down @ nbr_proc ) )
      | ~ ( leq @ ( s @ zero ) @ X0 )
      | ( leq @ nbr_proc @ X0 ) ),
    inference(demod,[status(thm)],[zip_derived_cl98,zip_derived_cl503,zip_derived_cl503]) ).

thf(zip_derived_cl866,plain,
    ! [X0: $i] :
      ( ( ( host @ X0 )
        = ( host @ sk__10 ) )
      | ( setIn @ ( host @ X0 ) @ ( index @ down @ nbr_proc ) )
      | ( leq @ nbr_proc @ ( host @ X0 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl3,zip_derived_cl861]) ).

thf(zip_derived_cl124,plain,
    setIn @ sk__8 @ alive,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl131,plain,
    setIn @ sk__5 @ alive,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl106,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_cl925,plain,
    ! [X0: $i] :
      ( ~ ( setIn @ X0 @ alive )
      | ~ ( setIn @ ( host @ X0 ) @ ( index @ down @ ( host @ sk__5 ) ) )
      | ( ( index @ status @ ( host @ X0 ) )
       != elec_2 )
      | ( leq @ ( index @ pendack @ ( host @ X0 ) ) @ ( host @ sk__5 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl131,zip_derived_cl106]) ).

thf(zip_derived_cl503_002,plain,
    ( ( host @ sk__5 )
    = nbr_proc ),
    inference(demod,[status(thm)],[zip_derived_cl501,zip_derived_cl5]) ).

thf(zip_derived_cl503_003,plain,
    ( ( host @ sk__5 )
    = nbr_proc ),
    inference(demod,[status(thm)],[zip_derived_cl501,zip_derived_cl5]) ).

thf(zip_derived_cl927,plain,
    ! [X0: $i] :
      ( ~ ( setIn @ X0 @ alive )
      | ~ ( setIn @ ( host @ X0 ) @ ( index @ down @ nbr_proc ) )
      | ( ( index @ status @ ( host @ X0 ) )
       != elec_2 )
      | ( leq @ ( index @ pendack @ ( host @ X0 ) ) @ nbr_proc ) ),
    inference(demod,[status(thm)],[zip_derived_cl925,zip_derived_cl503,zip_derived_cl503]) ).

thf(zip_derived_cl1674,plain,
    ( ~ ( setIn @ ( host @ sk__8 ) @ ( index @ down @ nbr_proc ) )
    | ( ( index @ status @ ( host @ sk__8 ) )
     != elec_2 )
    | ( leq @ ( index @ pendack @ ( host @ sk__8 ) ) @ nbr_proc ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl124,zip_derived_cl927]) ).

thf(zip_derived_cl123,plain,
    ( ( index @ status @ ( host @ sk__8 ) )
    = elec_2 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl125,plain,
    ~ ( leq @ ( index @ pendack @ ( host @ sk__8 ) ) @ ( host @ sk__7 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl126,plain,
    ( ( host @ sk__5 )
    = ( host @ sk__7 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl483,plain,
    ~ ( leq @ ( index @ pendack @ ( host @ sk__8 ) ) @ ( host @ sk__5 ) ),
    inference(demod,[status(thm)],[zip_derived_cl125,zip_derived_cl126]) ).

thf(zip_derived_cl503_004,plain,
    ( ( host @ sk__5 )
    = nbr_proc ),
    inference(demod,[status(thm)],[zip_derived_cl501,zip_derived_cl5]) ).

thf(zip_derived_cl514,plain,
    ~ ( leq @ ( index @ pendack @ ( host @ sk__8 ) ) @ nbr_proc ),
    inference(demod,[status(thm)],[zip_derived_cl483,zip_derived_cl503]) ).

thf(zip_derived_cl1676,plain,
    ( ~ ( setIn @ ( host @ sk__8 ) @ ( index @ down @ nbr_proc ) )
    | ( elec_2 != elec_2 ) ),
    inference(demod,[status(thm)],[zip_derived_cl1674,zip_derived_cl123,zip_derived_cl514]) ).

thf(zip_derived_cl1677,plain,
    ~ ( setIn @ ( host @ sk__8 ) @ ( index @ down @ nbr_proc ) ),
    inference(simplify,[status(thm)],[zip_derived_cl1676]) ).

thf(zip_derived_cl1680,plain,
    ( ( leq @ nbr_proc @ ( host @ sk__8 ) )
    | ( ( host @ sk__8 )
      = ( host @ sk__10 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl866,zip_derived_cl1677]) ).

thf(zip_derived_cl86_005,plain,
    ! [X0: $i,X1: $i] :
      ( ( X1 = X0 )
      | ~ ( leq @ X0 @ X1 )
      | ~ ( leq @ X1 @ X0 ) ),
    inference(cnf,[status(esa)],[axiom_61]) ).

thf(zip_derived_cl1695,plain,
    ( ( ( host @ sk__8 )
      = ( host @ sk__10 ) )
    | ( ( host @ sk__8 )
      = nbr_proc )
    | ~ ( leq @ ( host @ sk__8 ) @ nbr_proc ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl1680,zip_derived_cl86]) ).

thf(zip_derived_cl5_006,plain,
    ! [X0: $i] : ( leq @ ( host @ X0 ) @ nbr_proc ),
    inference(cnf,[status(esa)],[axiom_04]) ).

thf(zip_derived_cl1701,plain,
    ( ( ( host @ sk__8 )
      = ( host @ sk__10 ) )
    | ( ( host @ sk__8 )
      = nbr_proc ) ),
    inference(demod,[status(thm)],[zip_derived_cl1695,zip_derived_cl5]) ).

thf(zip_derived_cl122,plain,
    ( ( host @ sk__5 )
   != ( host @ sk__8 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl503_007,plain,
    ( ( host @ sk__5 )
    = nbr_proc ),
    inference(demod,[status(thm)],[zip_derived_cl501,zip_derived_cl5]) ).

thf(zip_derived_cl510,plain,
    ( nbr_proc
   != ( host @ sk__8 ) ),
    inference(demod,[status(thm)],[zip_derived_cl122,zip_derived_cl503]) ).

thf(zip_derived_cl1702,plain,
    ( ( host @ sk__8 )
    = ( host @ sk__10 ) ),
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl1701,zip_derived_cl510]) ).

thf(zip_derived_cl124_008,plain,
    setIn @ sk__8 @ alive,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl131_009,plain,
    setIn @ sk__5 @ alive,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl112,plain,
    ! [X23: $i,X24: $i,X25: $i] :
      ( ~ ( elem @ ( m_Down @ X23 ) @ ( queue @ ( host @ X24 ) ) )
      | ~ ( setIn @ X24 @ alive )
      | ~ ( setIn @ X25 @ alive )
      | ( ( host @ X25 )
       != ( host @ X23 ) )
      | ( ( index @ status @ ( host @ X25 ) )
       != elec_2 )
      | ( leq @ ( index @ pendack @ ( host @ X25 ) ) @ ( host @ X24 ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1003,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( elem @ ( m_Down @ X0 ) @ ( queue @ ( host @ sk__5 ) ) )
      | ~ ( setIn @ X1 @ alive )
      | ( ( host @ X1 )
       != ( host @ X0 ) )
      | ( ( index @ status @ ( host @ X1 ) )
       != elec_2 )
      | ( leq @ ( index @ pendack @ ( host @ X1 ) ) @ ( host @ sk__5 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl131,zip_derived_cl112]) ).

thf(zip_derived_cl503_010,plain,
    ( ( host @ sk__5 )
    = nbr_proc ),
    inference(demod,[status(thm)],[zip_derived_cl501,zip_derived_cl5]) ).

thf(zip_derived_cl503_011,plain,
    ( ( host @ sk__5 )
    = nbr_proc ),
    inference(demod,[status(thm)],[zip_derived_cl501,zip_derived_cl5]) ).

thf(zip_derived_cl1005,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( elem @ ( m_Down @ X0 ) @ ( queue @ nbr_proc ) )
      | ~ ( setIn @ X1 @ alive )
      | ( ( host @ X1 )
       != ( host @ X0 ) )
      | ( ( index @ status @ ( host @ X1 ) )
       != elec_2 )
      | ( leq @ ( index @ pendack @ ( host @ X1 ) ) @ nbr_proc ) ),
    inference(demod,[status(thm)],[zip_derived_cl1003,zip_derived_cl503,zip_derived_cl503]) ).

thf(zip_derived_cl1958,plain,
    ! [X0: $i] :
      ( ~ ( elem @ ( m_Down @ X0 ) @ ( queue @ nbr_proc ) )
      | ( ( host @ sk__8 )
       != ( host @ X0 ) )
      | ( ( index @ status @ ( host @ sk__8 ) )
       != elec_2 )
      | ( leq @ ( index @ pendack @ ( host @ sk__8 ) ) @ nbr_proc ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl124,zip_derived_cl1005]) ).

thf(zip_derived_cl123_012,plain,
    ( ( index @ status @ ( host @ sk__8 ) )
    = elec_2 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl514_013,plain,
    ~ ( leq @ ( index @ pendack @ ( host @ sk__8 ) ) @ nbr_proc ),
    inference(demod,[status(thm)],[zip_derived_cl483,zip_derived_cl503]) ).

thf(zip_derived_cl1960,plain,
    ! [X0: $i] :
      ( ~ ( elem @ ( m_Down @ X0 ) @ ( queue @ nbr_proc ) )
      | ( ( host @ sk__8 )
       != ( host @ X0 ) )
      | ( elec_2 != elec_2 ) ),
    inference(demod,[status(thm)],[zip_derived_cl1958,zip_derived_cl123,zip_derived_cl514]) ).

thf(zip_derived_cl1961,plain,
    ! [X0: $i] :
      ( ( ( host @ sk__8 )
       != ( host @ X0 ) )
      | ~ ( elem @ ( m_Down @ X0 ) @ ( queue @ nbr_proc ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl1960]) ).

thf(zip_derived_cl2035,plain,
    ( ( ( host @ sk__8 )
     != ( host @ sk__8 ) )
    | ~ ( elem @ ( m_Down @ sk__10 ) @ ( queue @ nbr_proc ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl1702,zip_derived_cl1961]) ).

thf(zip_derived_cl100,plain,
    ( ( queue @ ( host @ sk__5 ) )
    = ( cons @ ( m_Down @ sk__10 ) @ sk__3 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl503_014,plain,
    ( ( host @ sk__5 )
    = nbr_proc ),
    inference(demod,[status(thm)],[zip_derived_cl501,zip_derived_cl5]) ).

thf(zip_derived_cl508,plain,
    ( ( queue @ nbr_proc )
    = ( cons @ ( m_Down @ sk__10 ) @ sk__3 ) ),
    inference(demod,[status(thm)],[zip_derived_cl100,zip_derived_cl503]) ).

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_cl574,plain,
    ! [X0: $i,X1: $i] : ( elem @ X1 @ ( cons @ X1 @ X0 ) ),
    inference(eq_res,[status(thm)],[zip_derived_cl53]) ).

thf(zip_derived_cl644,plain,
    elem @ ( m_Down @ sk__10 ) @ ( queue @ nbr_proc ),
    inference('s_sup+',[status(thm)],[zip_derived_cl508,zip_derived_cl574]) ).

thf(zip_derived_cl2037,plain,
    ( ( host @ sk__8 )
   != ( host @ sk__8 ) ),
    inference(demod,[status(thm)],[zip_derived_cl2035,zip_derived_cl644]) ).

thf(zip_derived_cl2038,plain,
    $false,
    inference(simplify,[status(thm)],[zip_derived_cl2037]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10  % Problem  : SWV468+1 : TPTP v8.1.2. Released v4.0.0.
% 0.09/0.11  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.MCV56aCNIL true
% 0.10/0.31  % Computer : n016.cluster.edu
% 0.10/0.31  % Model    : x86_64 x86_64
% 0.10/0.31  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31  % Memory   : 8042.1875MB
% 0.10/0.31  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31  % CPULimit : 300
% 0.10/0.31  % WCLimit  : 300
% 0.10/0.31  % DateTime : Tue Aug 29 08:28:00 EDT 2023
% 0.10/0.31  % CPUTime  : 
% 0.10/0.31  % Running portfolio for 300 s
% 0.10/0.31  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.16/0.31  % Number of cores: 8
% 0.16/0.31  % Python version: Python 3.6.8
% 0.16/0.31  % Running in FO mode
% 0.16/0.58  % Total configuration time : 435
% 0.16/0.58  % Estimated wc time : 1092
% 0.16/0.58  % Estimated cpu time (7 cpus) : 156.0
% 0.86/0.68  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.86/0.68  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.86/0.68  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.86/0.68  % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.86/0.68  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.86/0.69  % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.86/0.70  % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 8.16/1.72  % Solved by fo/fo6_bce.sh.
% 8.16/1.72  % BCE start: 132
% 8.16/1.72  % BCE eliminated: 0
% 8.16/1.72  % PE start: 132
% 8.16/1.72  logic: eq
% 8.16/1.72  % PE eliminated: 0
% 8.16/1.72  % done 549 iterations in 1.015s
% 8.16/1.72  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 8.16/1.72  % SZS output start Refutation
% See solution above
% 8.16/1.72  
% 8.16/1.72  
% 8.16/1.72  % Terminating...
% 8.75/1.80  % Runner terminated.
% 8.80/1.82  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------