TSTP Solution File: SWV469+1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SWV469+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.yZzwbrcpoT true

% Computer : n010.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 52.55s 8.26s
% Output   : Refutation 52.55s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :   33
% Syntax   : Number of formulae    :   76 (  24 unt;  27 typ;   0 def)
%            Number of atoms       :  312 ( 138 equ;   0 cnn)
%            Maximal formula atoms :  108 (   6 avg)
%            Number of connectives : 1344 ( 108   ~;  55   |; 151   &; 973   @)
%                                         (   3 <=>;  54  =>;   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     :   29 (  27 usr;  17 con; 0-2 aty)
%            Number of variables   :  128 (   0   ^; 128   !;   0   ?; 128   :)

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

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

thf(sk__6_type,type,
    sk__6: $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__5_type,type,
    sk__5: $i ).

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

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

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

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

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

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

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

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

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

thf(sk__3_type,type,
    sk__3: $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(sk__9_type,type,
    sk__9: $i ).

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

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

thf(conj,conjecture,
    ! [V: $i,W: $i,X: $i,Y: $i] :
      ( ( ! [Z: $i,Pid0: $i] :
            ( ( elem @ ( m_Ldr @ Pid0 ) @ ( queue @ ( host @ Z ) ) )
           => ~ ( leq @ ( host @ Z ) @ ( host @ Pid0 ) ) )
        & ! [Z: $i,Pid0: $i] :
            ( ( ( 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] :
                    ( ( ( host @ X )
                     != ( host @ Z ) )
                   => ! [W0: $i] :
                        ( ( ( host @ X )
                          = ( host @ W0 ) )
                       => ( ( ~ ( leq @ ( s @ ( host @ X ) ) @ ( host @ Z ) )
                            & ( setIn @ W0 @ alive ) )
                         => ~ ( ( 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] :
              ( ( ( 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] :
                      ( ( ( host @ X )
                       != ( host @ Z ) )
                     => ! [W0: $i] :
                          ( ( ( host @ X )
                            = ( host @ W0 ) )
                         => ( ( ~ ( leq @ ( s @ ( host @ X ) ) @ ( host @ Z ) )
                              & ( setIn @ W0 @ alive ) )
                           => ~ ( ( setIn @ Z @ alive )
                                & ( ( index @ ldr @ ( host @ Z ) )
                                  = ( host @ Z ) )
                                & ( ( index @ status @ ( host @ Z ) )
                                  = norm ) ) ) ) ) ) ) ) ) ) ),
    inference('cnf.neg',[status(esa)],[conj]) ).

thf(zip_derived_cl126,plain,
    setIn @ sk__6 @ alive,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl130,plain,
    setIn @ sk__5 @ alive,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl107,plain,
    ! [X10: $i,X11: $i] :
      ( ~ ( setIn @ X10 @ alive )
      | ~ ( setIn @ X11 @ alive )
      | ( ( index @ status @ ( host @ X11 ) )
       != norm )
      | ( ( index @ ldr @ ( host @ X11 ) )
       != ( host @ X11 ) )
      | ~ ( setIn @ ( host @ X11 ) @ ( index @ down @ ( host @ X10 ) ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1382,plain,
    ! [X0: $i] :
      ( ~ ( setIn @ X0 @ alive )
      | ( ( index @ status @ ( host @ X0 ) )
       != norm )
      | ( ( index @ ldr @ ( host @ X0 ) )
       != ( host @ X0 ) )
      | ~ ( setIn @ ( host @ X0 ) @ ( index @ down @ ( host @ sk__5 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl130,zip_derived_cl107]) ).

thf(zip_derived_cl18979,plain,
    ( ( ( index @ status @ ( host @ sk__6 ) )
     != norm )
    | ( ( index @ ldr @ ( host @ sk__6 ) )
     != ( host @ sk__6 ) )
    | ~ ( setIn @ ( host @ sk__6 ) @ ( index @ down @ ( host @ sk__5 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl126,zip_derived_cl1382]) ).

thf(zip_derived_cl124,plain,
    ( ( index @ status @ ( host @ sk__6 ) )
    = norm ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl125,plain,
    ( ( index @ ldr @ ( host @ sk__6 ) )
    = ( host @ sk__6 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl18981,plain,
    ( ( norm != norm )
    | ( ( host @ sk__6 )
     != ( host @ sk__6 ) )
    | ~ ( setIn @ ( host @ sk__6 ) @ ( index @ down @ ( host @ sk__5 ) ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl18979,zip_derived_cl124,zip_derived_cl125]) ).

thf(zip_derived_cl18982,plain,
    ~ ( setIn @ ( host @ sk__6 ) @ ( index @ down @ ( host @ sk__5 ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl18981]) ).

thf(zip_derived_cl98,plain,
    ! [X0: $i] :
      ( ( X0
        = ( host @ sk__9 ) )
      | ( 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_cl18983,plain,
    ( ( ( host @ sk__6 )
      = ( host @ sk__9 ) )
    | ~ ( leq @ ( s @ zero ) @ ( host @ sk__6 ) )
    | ( leq @ ( host @ sk__5 ) @ ( host @ sk__6 ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl18982,zip_derived_cl98]) ).

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(axiom_60,axiom,
    ! [X: $i,Y: $i] :
      ( ( leq @ Y @ X )
      | ( leq @ X @ Y ) ) ).

thf(zip_derived_cl85,plain,
    ! [X0: $i,X1: $i] :
      ( ( leq @ X0 @ X1 )
      | ( leq @ X1 @ X0 ) ),
    inference(cnf,[status(esa)],[axiom_60]) ).

thf(zip_derived_cl127,plain,
    ~ ( leq @ ( s @ ( host @ sk__5 ) ) @ ( host @ sk__6 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl681,plain,
    leq @ ( host @ sk__6 ) @ ( s @ ( host @ sk__5 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl85,zip_derived_cl127]) ).

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_cl1812,plain,
    ( ( leq @ ( host @ sk__6 ) @ ( host @ sk__5 ) )
    | ( ( host @ sk__6 )
      = ( s @ ( host @ sk__5 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl681,zip_derived_cl92]) ).

thf(zip_derived_cl127_001,plain,
    ~ ( leq @ ( s @ ( host @ sk__5 ) ) @ ( host @ sk__6 ) ),
    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_cl87,plain,
    ! [X0: $i,X1: $i] :
      ( ( leq @ X0 @ X1 )
      | ( X0 != X1 ) ),
    inference(cnf,[status(esa)],[axiom_61]) ).

thf(zip_derived_cl147,plain,
    ( ( s @ ( host @ sk__5 ) )
   != ( host @ sk__6 ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl127,zip_derived_cl87]) ).

thf(zip_derived_cl1814,plain,
    leq @ ( host @ sk__6 ) @ ( host @ sk__5 ),
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl1812,zip_derived_cl147]) ).

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_cl2313,plain,
    ( ( ( host @ sk__5 )
      = ( host @ sk__6 ) )
    | ~ ( leq @ ( host @ sk__5 ) @ ( host @ sk__6 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl1814,zip_derived_cl86]) ).

thf(zip_derived_cl128,plain,
    ( ( host @ sk__5 )
   != ( host @ sk__6 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl2319,plain,
    ~ ( leq @ ( host @ sk__5 ) @ ( host @ sk__6 ) ),
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl2313,zip_derived_cl128]) ).

thf(zip_derived_cl18986,plain,
    ( ( host @ sk__6 )
    = ( host @ sk__9 ) ),
    inference(demod,[status(thm)],[zip_derived_cl18983,zip_derived_cl3,zip_derived_cl2319]) ).

thf(zip_derived_cl126_002,plain,
    setIn @ sk__6 @ alive,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl130_003,plain,
    setIn @ sk__5 @ alive,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl113,plain,
    ! [X26: $i,X27: $i,X28: $i] :
      ( ~ ( elem @ ( m_Down @ X26 ) @ ( queue @ ( host @ X27 ) ) )
      | ~ ( setIn @ X27 @ alive )
      | ~ ( setIn @ X28 @ alive )
      | ( ( host @ X26 )
       != ( host @ X28 ) )
      | ( ( index @ status @ ( host @ X28 ) )
       != norm )
      | ( ( index @ ldr @ ( host @ X28 ) )
       != ( host @ X28 ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1560,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( elem @ ( m_Down @ X0 ) @ ( queue @ ( host @ sk__5 ) ) )
      | ~ ( setIn @ X1 @ alive )
      | ( ( host @ X0 )
       != ( host @ X1 ) )
      | ( ( index @ status @ ( host @ X1 ) )
       != norm )
      | ( ( index @ ldr @ ( host @ X1 ) )
       != ( host @ X1 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl130,zip_derived_cl113]) ).

thf(zip_derived_cl21393,plain,
    ! [X0: $i] :
      ( ~ ( elem @ ( m_Down @ X0 ) @ ( queue @ ( host @ sk__5 ) ) )
      | ( ( host @ X0 )
       != ( host @ sk__6 ) )
      | ( ( index @ status @ ( host @ sk__6 ) )
       != norm )
      | ( ( index @ ldr @ ( host @ sk__6 ) )
       != ( host @ sk__6 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl126,zip_derived_cl1560]) ).

thf(zip_derived_cl124_004,plain,
    ( ( index @ status @ ( host @ sk__6 ) )
    = norm ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl125_005,plain,
    ( ( index @ ldr @ ( host @ sk__6 ) )
    = ( host @ sk__6 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl21395,plain,
    ! [X0: $i] :
      ( ~ ( elem @ ( m_Down @ X0 ) @ ( queue @ ( host @ sk__5 ) ) )
      | ( ( host @ X0 )
       != ( host @ sk__6 ) )
      | ( norm != norm )
      | ( ( host @ sk__6 )
       != ( host @ sk__6 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl21393,zip_derived_cl124,zip_derived_cl125]) ).

thf(zip_derived_cl21396,plain,
    ! [X0: $i] :
      ( ( ( host @ X0 )
       != ( host @ sk__6 ) )
      | ~ ( elem @ ( m_Down @ X0 ) @ ( queue @ ( host @ sk__5 ) ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl21395]) ).

thf(zip_derived_cl21407,plain,
    ( ( ( host @ sk__6 )
     != ( host @ sk__6 ) )
    | ~ ( elem @ ( m_Down @ sk__9 ) @ ( queue @ ( host @ sk__5 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl18986,zip_derived_cl21396]) ).

thf(zip_derived_cl100,plain,
    ( ( queue @ ( host @ sk__5 ) )
    = ( cons @ ( m_Down @ sk__9 ) @ sk__3 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

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_cl209,plain,
    ! [X0: $i,X1: $i] : ( elem @ X1 @ ( cons @ X1 @ X0 ) ),
    inference(eq_res,[status(thm)],[zip_derived_cl53]) ).

thf(zip_derived_cl288,plain,
    elem @ ( m_Down @ sk__9 ) @ ( queue @ ( host @ sk__5 ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl100,zip_derived_cl209]) ).

thf(zip_derived_cl21409,plain,
    ( ( host @ sk__6 )
   != ( host @ sk__6 ) ),
    inference(demod,[status(thm)],[zip_derived_cl21407,zip_derived_cl288]) ).

thf(zip_derived_cl21410,plain,
    $false,
    inference(simplify,[status(thm)],[zip_derived_cl21409]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem  : SWV469+1 : TPTP v8.1.2. Released v4.0.0.
% 0.14/0.14  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.yZzwbrcpoT true
% 0.15/0.36  % Computer : n010.cluster.edu
% 0.15/0.36  % Model    : x86_64 x86_64
% 0.15/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36  % Memory   : 8042.1875MB
% 0.15/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36  % CPULimit : 300
% 0.15/0.36  % WCLimit  : 300
% 0.15/0.36  % DateTime : Tue Aug 29 04:07:34 EDT 2023
% 0.15/0.36  % CPUTime  : 
% 0.15/0.36  % Running portfolio for 300 s
% 0.15/0.36  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.15/0.36  % Number of cores: 8
% 0.15/0.36  % Python version: Python 3.6.8
% 0.15/0.36  % Running in FO mode
% 0.22/0.73  % Total configuration time : 435
% 0.22/0.73  % Estimated wc time : 1092
% 0.22/0.73  % Estimated cpu time (7 cpus) : 156.0
% 0.22/0.80  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.22/0.82  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.22/0.82  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.22/0.82  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.22/0.83  % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 1.33/0.87  % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 1.44/0.88  % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 52.55/8.26  % Solved by fo/fo13.sh.
% 52.55/8.26  % done 4913 iterations in 7.389s
% 52.55/8.26  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 52.55/8.26  % SZS output start Refutation
% See solution above
% 52.55/8.27  
% 52.55/8.27  
% 52.55/8.27  % Terminating...
% 53.34/8.36  % Runner terminated.
% 53.34/8.37  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------