TSTP Solution File: SWV464+1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SWV464+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.kGX8TvHE7G 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 00:10:05 EDT 2023

% Result   : Theorem 5.37s 1.40s
% Output   : Refutation 5.37s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   17
%            Number of leaves      :   35
% Syntax   : Number of formulae    :   81 (  32 unt;  29 typ;   0 def)
%            Number of atoms       :  300 ( 139 equ;   0 cnn)
%            Maximal formula atoms :   91 (   5 avg)
%            Number of connectives : 1445 ( 118   ~;  71   |; 129   &;1079   @)
%                                         (   2 <=>;  46  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   35 (   7 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   20 (  20   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   31 (  29 usr;  17 con; 0-2 aty)
%            Number of variables   :  144 (   0   ^; 144   !;   0   ?; 144   :)

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

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

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

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

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

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

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

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

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

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

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

thf(sk__8_type,type,
    sk__8: $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(snoc_type,type,
    snoc: $i > $i > $i ).

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

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

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

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

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

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

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

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

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

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

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

thf(zip_derived_cl117,plain,
    setIn @ sk__9 @ alive,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl115,plain,
    setIn @ sk__6 @ alive,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl110,plain,
    ! [X33: $i,X34: $i,X35: $i,X36: $i] :
      ( ( ( index @ status @ ( host @ X33 ) )
       != norm )
      | ( ( index @ ldr @ ( host @ X33 ) )
       != ( host @ X33 ) )
      | ~ ( setIn @ X33 @ alive )
      | ~ ( setIn @ X34 @ alive )
      | ~ ( elem @ ( m_Down @ X35 ) @ ( queue @ ( host @ X34 ) ) )
      | ~ ( elem @ ( m_Ack @ X34 @ X36 ) @ ( queue @ ( host @ X34 ) ) )
      | ~ ( leq @ nbr_proc @ ( s @ ( index @ pendack @ ( host @ X34 ) ) ) )
      | ( ( index @ status @ ( host @ X34 ) )
       != elec_2 )
      | ( ( host @ X36 )
       != ( index @ pendack @ ( host @ X34 ) ) )
      | ( ( host @ X35 )
       != ( s @ ( index @ pendack @ ( host @ X34 ) ) ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl118,plain,
    leq @ nbr_proc @ ( s @ ( index @ pendack @ ( host @ sk__9 ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl122,plain,
    ( ( host @ sk__7 )
    = ( index @ pendack @ ( host @ sk__9 ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl123,plain,
    ( ( host @ sk__8 )
    = ( s @ ( index @ pendack @ ( host @ sk__9 ) ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl122_001,plain,
    ( ( host @ sk__7 )
    = ( index @ pendack @ ( host @ sk__9 ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl180,plain,
    ( ( host @ sk__8 )
    = ( s @ ( host @ sk__7 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl123,zip_derived_cl122]) ).

thf(zip_derived_cl205,plain,
    leq @ nbr_proc @ ( host @ sk__8 ),
    inference(demod,[status(thm)],[zip_derived_cl118,zip_derived_cl122,zip_derived_cl180]) ).

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

thf(zip_derived_cl80,plain,
    ! [X0: $i,X1: $i] :
      ( ( X1 = X0 )
      | ~ ( leq @ X0 @ X1 )
      | ~ ( leq @ X1 @ X0 ) ),
    inference(cnf,[status(esa)],[axiom_61]) ).

thf(zip_derived_cl206,plain,
    ( ~ ( leq @ ( host @ sk__8 ) @ nbr_proc )
    | ( ( host @ sk__8 )
      = nbr_proc ) ),
    inference('sup-',[status(thm)],[zip_derived_cl205,zip_derived_cl80]) ).

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_cl209,plain,
    ( ( host @ sk__8 )
    = nbr_proc ),
    inference(demod,[status(thm)],[zip_derived_cl206,zip_derived_cl5]) ).

thf(zip_derived_cl2506,plain,
    ! [X33: $i,X34: $i,X35: $i,X36: $i] :
      ( ( ( index @ status @ ( host @ X33 ) )
       != norm )
      | ( ( index @ ldr @ ( host @ X33 ) )
       != ( host @ X33 ) )
      | ~ ( setIn @ X33 @ alive )
      | ~ ( setIn @ X34 @ alive )
      | ~ ( elem @ ( m_Down @ X35 ) @ ( queue @ ( host @ X34 ) ) )
      | ~ ( elem @ ( m_Ack @ X34 @ X36 ) @ ( queue @ ( host @ X34 ) ) )
      | ~ ( leq @ ( host @ sk__8 ) @ ( s @ ( index @ pendack @ ( host @ X34 ) ) ) )
      | ( ( index @ status @ ( host @ X34 ) )
       != elec_2 )
      | ( ( host @ X36 )
       != ( index @ pendack @ ( host @ X34 ) ) )
      | ( ( host @ X35 )
       != ( s @ ( index @ pendack @ ( host @ X34 ) ) ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl110,zip_derived_cl209]) ).

thf(zip_derived_cl2508,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( ( host @ X0 )
       != ( s @ ( index @ pendack @ ( host @ X1 ) ) ) )
      | ( ( host @ X2 )
       != ( index @ pendack @ ( host @ X1 ) ) )
      | ( ( index @ status @ ( host @ X1 ) )
       != elec_2 )
      | ~ ( leq @ ( host @ sk__8 ) @ ( s @ ( index @ pendack @ ( host @ X1 ) ) ) )
      | ~ ( elem @ ( m_Ack @ X1 @ X2 ) @ ( queue @ ( host @ X1 ) ) )
      | ~ ( elem @ ( m_Down @ X0 ) @ ( queue @ ( host @ X1 ) ) )
      | ~ ( setIn @ X1 @ alive )
      | ( ( index @ ldr @ ( host @ sk__6 ) )
       != ( host @ sk__6 ) )
      | ( ( index @ status @ ( host @ sk__6 ) )
       != norm ) ),
    inference('sup-',[status(thm)],[zip_derived_cl115,zip_derived_cl2506]) ).

thf(zip_derived_cl114,plain,
    ( ( index @ ldr @ ( host @ sk__6 ) )
    = ( host @ sk__6 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl113,plain,
    ( ( index @ status @ ( host @ sk__6 ) )
    = norm ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl2511,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( ( host @ X0 )
       != ( s @ ( index @ pendack @ ( host @ X1 ) ) ) )
      | ( ( host @ X2 )
       != ( index @ pendack @ ( host @ X1 ) ) )
      | ( ( index @ status @ ( host @ X1 ) )
       != elec_2 )
      | ~ ( leq @ ( host @ sk__8 ) @ ( s @ ( index @ pendack @ ( host @ X1 ) ) ) )
      | ~ ( elem @ ( m_Ack @ X1 @ X2 ) @ ( queue @ ( host @ X1 ) ) )
      | ~ ( elem @ ( m_Down @ X0 ) @ ( queue @ ( host @ X1 ) ) )
      | ~ ( setIn @ X1 @ alive )
      | ( ( host @ sk__6 )
       != ( host @ sk__6 ) )
      | ( norm != norm ) ),
    inference(demod,[status(thm)],[zip_derived_cl2508,zip_derived_cl114,zip_derived_cl113]) ).

thf(zip_derived_cl2512,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( setIn @ X1 @ alive )
      | ~ ( elem @ ( m_Down @ X0 ) @ ( queue @ ( host @ X1 ) ) )
      | ~ ( elem @ ( m_Ack @ X1 @ X2 ) @ ( queue @ ( host @ X1 ) ) )
      | ~ ( leq @ ( host @ sk__8 ) @ ( s @ ( index @ pendack @ ( host @ X1 ) ) ) )
      | ( ( index @ status @ ( host @ X1 ) )
       != elec_2 )
      | ( ( host @ X2 )
       != ( index @ pendack @ ( host @ X1 ) ) )
      | ( ( host @ X0 )
       != ( s @ ( index @ pendack @ ( host @ X1 ) ) ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl2511]) ).

thf(zip_derived_cl2516,plain,
    ! [X0: $i,X1: $i] :
      ( ( ( host @ X0 )
       != ( s @ ( index @ pendack @ ( host @ sk__9 ) ) ) )
      | ( ( host @ X1 )
       != ( index @ pendack @ ( host @ sk__9 ) ) )
      | ( ( index @ status @ ( host @ sk__9 ) )
       != elec_2 )
      | ~ ( leq @ ( host @ sk__8 ) @ ( s @ ( index @ pendack @ ( host @ sk__9 ) ) ) )
      | ~ ( elem @ ( m_Ack @ sk__9 @ X1 ) @ ( queue @ ( host @ sk__9 ) ) )
      | ~ ( elem @ ( m_Down @ X0 ) @ ( queue @ ( host @ sk__9 ) ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl117,zip_derived_cl2512]) ).

thf(zip_derived_cl122_002,plain,
    ( ( host @ sk__7 )
    = ( index @ pendack @ ( host @ sk__9 ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl180_003,plain,
    ( ( host @ sk__8 )
    = ( s @ ( host @ sk__7 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl123,zip_derived_cl122]) ).

thf(zip_derived_cl122_004,plain,
    ( ( host @ sk__7 )
    = ( index @ pendack @ ( host @ sk__9 ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl121,plain,
    ( ( index @ status @ ( host @ sk__9 ) )
    = elec_2 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl122_005,plain,
    ( ( host @ sk__7 )
    = ( index @ pendack @ ( host @ sk__9 ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl180_006,plain,
    ( ( host @ sk__8 )
    = ( s @ ( host @ sk__7 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl123,zip_derived_cl122]) ).

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

thf(zip_derived_cl209_008,plain,
    ( ( host @ sk__8 )
    = nbr_proc ),
    inference(demod,[status(thm)],[zip_derived_cl206,zip_derived_cl5]) ).

thf(zip_derived_cl211,plain,
    ! [X0: $i] : ( leq @ ( host @ X0 ) @ ( host @ sk__8 ) ),
    inference(demod,[status(thm)],[zip_derived_cl5,zip_derived_cl209]) ).

thf(zip_derived_cl2520,plain,
    ! [X0: $i,X1: $i] :
      ( ( ( host @ X0 )
       != ( host @ sk__8 ) )
      | ( ( host @ X1 )
       != ( host @ sk__7 ) )
      | ( elec_2 != elec_2 )
      | ~ ( elem @ ( m_Ack @ sk__9 @ X1 ) @ ( queue @ ( host @ sk__9 ) ) )
      | ~ ( elem @ ( m_Down @ X0 ) @ ( queue @ ( host @ sk__9 ) ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl2516,zip_derived_cl122,zip_derived_cl180,zip_derived_cl122,zip_derived_cl121,zip_derived_cl122,zip_derived_cl180,zip_derived_cl211]) ).

thf(zip_derived_cl2521,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( elem @ ( m_Down @ X0 ) @ ( queue @ ( host @ sk__9 ) ) )
      | ~ ( elem @ ( m_Ack @ sk__9 @ X1 ) @ ( queue @ ( host @ sk__9 ) ) )
      | ( ( host @ X1 )
       != ( host @ sk__7 ) )
      | ( ( host @ X0 )
       != ( host @ sk__8 ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl2520]) ).

thf(zip_derived_cl2522,plain,
    ! [X0: $i] :
      ( ( ( host @ X0 )
       != ( host @ sk__8 ) )
      | ~ ( elem @ ( m_Ack @ sk__9 @ sk__7 ) @ ( queue @ ( host @ sk__9 ) ) )
      | ~ ( elem @ ( m_Down @ X0 ) @ ( queue @ ( host @ sk__9 ) ) ) ),
    inference(eq_res,[status(thm)],[zip_derived_cl2521]) ).

thf(zip_derived_cl120,plain,
    elem @ ( m_Ack @ sk__9 @ sk__7 ) @ ( snoc @ ( queue @ ( host @ sk__9 ) ) @ ( m_Halt @ sk__5 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

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

thf(zip_derived_cl49,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_cl502,plain,
    ( ( ( m_Ack @ sk__9 @ sk__7 )
      = ( m_Halt @ sk__5 ) )
    | ( elem @ ( m_Ack @ sk__9 @ sk__7 ) @ ( queue @ ( host @ sk__9 ) ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl120,zip_derived_cl49]) ).

thf(axiom_11,axiom,
    ! [X: $i,Y: $i,Z: $i] :
      ( ( m_Ack @ X @ Y )
     != ( m_Halt @ Z ) ) ).

thf(zip_derived_cl12,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( m_Ack @ X1 @ X2 )
     != ( m_Halt @ X0 ) ),
    inference(cnf,[status(esa)],[axiom_11]) ).

thf(zip_derived_cl503,plain,
    elem @ ( m_Ack @ sk__9 @ sk__7 ) @ ( queue @ ( host @ sk__9 ) ),
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl502,zip_derived_cl12]) ).

thf(zip_derived_cl2523,plain,
    ! [X0: $i] :
      ( ( ( host @ X0 )
       != ( host @ sk__8 ) )
      | ~ ( elem @ ( m_Down @ X0 ) @ ( queue @ ( host @ sk__9 ) ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl2522,zip_derived_cl503]) ).

thf(zip_derived_cl2524,plain,
    ~ ( elem @ ( m_Down @ sk__8 ) @ ( queue @ ( host @ sk__9 ) ) ),
    inference(eq_res,[status(thm)],[zip_derived_cl2523]) ).

thf(zip_derived_cl119,plain,
    elem @ ( m_Down @ sk__8 ) @ ( snoc @ ( queue @ ( host @ sk__9 ) ) @ ( m_Halt @ sk__5 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl49_009,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_cl391,plain,
    ( ( ( m_Down @ sk__8 )
      = ( m_Halt @ sk__5 ) )
    | ( elem @ ( m_Down @ sk__8 ) @ ( queue @ ( host @ sk__9 ) ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl119,zip_derived_cl49]) ).

thf(axiom_17,axiom,
    ! [X: $i,Y: $i] :
      ( ( m_Down @ X )
     != ( m_Halt @ Y ) ) ).

thf(zip_derived_cl18,plain,
    ! [X0: $i,X1: $i] :
      ( ( m_Down @ X1 )
     != ( m_Halt @ X0 ) ),
    inference(cnf,[status(esa)],[axiom_17]) ).

thf(zip_derived_cl392,plain,
    elem @ ( m_Down @ sk__8 ) @ ( queue @ ( host @ sk__9 ) ),
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl391,zip_derived_cl18]) ).

thf(zip_derived_cl2525,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl2524,zip_derived_cl392]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : SWV464+1 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.13  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.kGX8TvHE7G true
% 0.17/0.34  % Computer : n027.cluster.edu
% 0.17/0.34  % Model    : x86_64 x86_64
% 0.17/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.34  % Memory   : 8042.1875MB
% 0.17/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.17/0.34  % CPULimit : 300
% 0.17/0.34  % WCLimit  : 300
% 0.17/0.34  % DateTime : Tue Aug 29 07:08:08 EDT 2023
% 0.17/0.35  % CPUTime  : 
% 0.17/0.35  % Running portfolio for 300 s
% 0.17/0.35  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.17/0.35  % Number of cores: 8
% 0.17/0.35  % Python version: Python 3.6.8
% 0.17/0.35  % Running in FO mode
% 0.20/0.63  % Total configuration time : 435
% 0.20/0.63  % Estimated wc time : 1092
% 0.20/0.63  % Estimated cpu time (7 cpus) : 156.0
% 0.20/0.70  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.20/0.72  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.20/0.73  % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.20/0.74  % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.20/0.75  % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.20/0.76  % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.20/0.76  % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 5.37/1.40  % Solved by fo/fo7.sh.
% 5.37/1.40  % done 1156 iterations in 0.633s
% 5.37/1.40  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 5.37/1.40  % SZS output start Refutation
% See solution above
% 5.37/1.40  
% 5.37/1.40  
% 5.37/1.40  % Terminating...
% 5.37/1.52  % Runner terminated.
% 5.37/1.53  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------