TSTP Solution File: SWV457+1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SWV457+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.qVwMM7YYZR true

% Computer : n015.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 00:10:03 EDT 2023

% Result   : Theorem 10.52s 2.26s
% Output   : Refutation 10.52s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   26
%            Number of leaves      :   37
% Syntax   : Number of formulae    :  120 (  57 unt;  29 typ;   0 def)
%            Number of atoms       :  310 ( 146 equ;   0 cnn)
%            Maximal formula atoms :   72 (   3 avg)
%            Number of connectives : 1332 ( 123   ~;  75   |;  97   &; 990   @)
%                                         (   3 <=>;  44  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   31 (   5 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   19 (  19   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   31 (  29 usr;  18 con; 0-2 aty)
%            Number of variables   :  149 (   0   ^; 149   !;   0   ?; 149   :)

% Comments : 
%------------------------------------------------------------------------------
thf(pids_type,type,
    pids: $i ).

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

thf(conj,conjecture,
    ! [V: $i,W: $i,X: $i] :
      ( ( ! [Y: $i,Z: $i] :
            ( ( elem @ ( m_Ack @ Z @ Y ) @ ( queue @ ( host @ Z ) ) )
           => ( setIn @ Z @ pids ) )
        & ! [Y: $i,Z: $i] :
            ( ( elem @ ( m_Down @ Z ) @ ( queue @ ( host @ Y ) ) )
           => ~ ( setIn @ Z @ alive ) )
        & ! [Y: $i,Z: $i] :
            ( ( elem @ ( m_Ldr @ Z ) @ ( queue @ ( host @ Y ) ) )
           => ~ ( leq @ ( host @ Y ) @ ( host @ Z ) ) )
        & ! [Y: $i,Z: $i,Pid0: $i] :
            ( ( elem @ ( m_Ack @ Pid0 @ Y ) @ ( queue @ ( host @ Z ) ) )
           => ~ ( leq @ ( host @ Y ) @ ( host @ Pid0 ) ) )
        & ! [Y: $i,Z: $i] :
            ( ( ~ ( setIn @ Y @ alive )
              & ( leq @ Z @ Y )
              & ( ( host @ Z )
                = ( host @ Y ) ) )
           => ~ ( setIn @ Z @ alive ) )
        & ! [Y: $i,Z: $i] :
            ( ( ( Z != Y )
              & ( ( host @ Z )
                = ( host @ Y ) ) )
           => ( ~ ( setIn @ Y @ alive )
              | ~ ( setIn @ Z @ alive ) ) )
        & ! [Y: $i,Z: $i] :
            ( ( ( setIn @ Z @ alive )
              & ( elem @ ( m_Ack @ Z @ Y ) @ ( queue @ ( host @ Z ) ) ) )
           => ( leq @ ( host @ Y ) @ ( index @ pendack @ ( host @ Z ) ) ) )
        & ! [Y: $i,Z: $i] :
            ( ( ( setIn @ Z @ alive )
              & ( ( index @ status @ ( host @ Z ) )
                = elec_1 ) )
           => ~ ( elem @ ( m_Ack @ Y @ Z ) @ ( queue @ ( host @ Y ) ) ) )
        & ! [Y: $i,Z: $i] :
            ( ( ( setIn @ Z @ alive )
              & ( ( index @ status @ ( host @ Z ) )
                = elec_1 ) )
           => ~ ( elem @ ( m_Ack @ Z @ Y ) @ ( queue @ ( host @ Z ) ) ) )
        & ! [Y: $i] :
            ( ( ( ( ( index @ status @ ( host @ Y ) )
                  = elec_1 )
                | ( ( index @ status @ ( host @ Y ) )
                  = elec_2 ) )
              & ( setIn @ Y @ alive ) )
           => ( ( index @ elid @ ( host @ Y ) )
              = Y ) )
        & ! [Y: $i,Z: $i,Pid0: $i] :
            ( ( ( elem @ ( m_Down @ Y ) @ ( queue @ ( host @ Z ) ) )
              & ( elem @ ( m_Ack @ Pid0 @ Z ) @ ( queue @ ( host @ Pid0 ) ) )
              & ( ( host @ Pid0 )
                = ( host @ Y ) ) )
           => ~ ( setIn @ Pid0 @ alive ) )
        & ! [Y: $i,Z: $i,Pid0: $i] :
            ( ( ( setIn @ Z @ alive )
              & ( setIn @ Pid0 @ alive )
              & ( elem @ ( m_Ack @ Pid0 @ Y ) @ ( queue @ ( host @ Pid0 ) ) )
              & ( ( host @ Z )
                = ( host @ Y ) ) )
           => ~ ( setIn @ ( host @ Pid0 ) @ ( index @ down @ ( host @ Z ) ) ) )
        & ! [Y: $i,Z: $i] :
            ( ( ~ ( leq @ ( host @ Y ) @ ( host @ Z ) )
              & ( setIn @ Y @ alive )
              & ( setIn @ Z @ alive )
              & ( ( index @ status @ ( host @ Y ) )
                = elec_2 )
              & ( ( index @ status @ ( host @ Z ) )
                = elec_2 ) )
           => ~ ( leq @ ( index @ pendack @ ( host @ Y ) ) @ ( index @ pendack @ ( host @ Z ) ) ) )
        & ! [Y: $i,Z: $i,Pid0: $i] :
            ( ( ~ ( leq @ ( index @ pendack @ ( host @ Pid0 ) ) @ ( host @ Y ) )
              & ( setIn @ Pid0 @ alive )
              & ( elem @ ( m_Halt @ Pid0 ) @ ( queue @ ( host @ Z ) ) )
              & ( ( index @ status @ ( host @ Pid0 ) )
                = elec_2 ) )
           => ~ ( ( setIn @ Y @ alive )
                & ( ( index @ ldr @ ( host @ Y ) )
                  = ( host @ Y ) )
                & ( ( index @ status @ ( host @ Y ) )
                  = norm ) ) )
        & ! [Y: $i,Z: $i,Pid0: $i] :
            ( ( ( setIn @ Pid0 @ alive )
              & ( elem @ ( m_Ack @ Pid0 @ Z ) @ ( queue @ ( host @ Pid0 ) ) )
              & ( leq @ nbr_proc @ ( index @ pendack @ ( host @ Pid0 ) ) )
              & ( ( index @ status @ ( host @ Pid0 ) )
                = elec_2 )
              & ( ( host @ Z )
                = ( index @ pendack @ ( host @ Pid0 ) ) ) )
           => ~ ( ( setIn @ Y @ alive )
                & ( ( index @ ldr @ ( host @ Y ) )
                  = ( host @ Y ) )
                & ( ( index @ status @ ( host @ Y ) )
                  = norm ) ) )
        & ( ( queue @ ( host @ W ) )
          = ( cons @ ( m_Halt @ X ) @ V ) ) )
     => ( ( setIn @ W @ alive )
       => ! [Y: $i] :
            ( ( ( host @ W )
             != ( host @ Y ) )
           => ! [Z: $i,X0: $i] :
                ( ( ( host @ X )
                  = ( host @ X0 ) )
               => ( ( ( host @ W )
                   != ( host @ X0 ) )
                 => ( ( ( setIn @ X0 @ alive )
                      & ( leq @ nbr_proc @ ( index @ pendack @ ( host @ X0 ) ) )
                      & ( elem @ ( m_Ack @ X0 @ Z ) @ ( snoc @ ( queue @ ( host @ X0 ) ) @ ( m_Ack @ X @ W ) ) )
                      & ( ( index @ status @ ( host @ X0 ) )
                        = elec_2 )
                      & ( ( host @ Z )
                        = ( index @ pendack @ ( host @ X0 ) ) ) )
                   => ~ ( ( setIn @ Y @ alive )
                        & ( ( index @ ldr @ ( host @ Y ) )
                          = ( host @ Y ) )
                        & ( ( index @ status @ ( host @ Y ) )
                          = norm ) ) ) ) ) ) ) ) ).

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

thf(zip_derived_cl102,plain,
    leq @ nbr_proc @ ( index @ pendack @ ( host @ sk__8 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl100,plain,
    ( ( host @ sk__5 )
    = ( host @ sk__8 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl105,plain,
    ( ( host @ sk__7 )
    = ( index @ pendack @ ( host @ sk__8 ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl100_001,plain,
    ( ( host @ sk__5 )
    = ( host @ sk__8 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl423,plain,
    ( ( host @ sk__7 )
    = ( index @ pendack @ ( host @ sk__5 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl105,zip_derived_cl100]) ).

thf(zip_derived_cl428,plain,
    leq @ nbr_proc @ ( host @ sk__7 ),
    inference(demod,[status(thm)],[zip_derived_cl102,zip_derived_cl100,zip_derived_cl423]) ).

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_cl461,plain,
    ( ( ( host @ sk__7 )
      = nbr_proc )
    | ~ ( leq @ ( host @ sk__7 ) @ nbr_proc ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl428,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_cl463,plain,
    ( ( host @ sk__7 )
    = nbr_proc ),
    inference(demod,[status(thm)],[zip_derived_cl461,zip_derived_cl5]) ).

thf(zip_derived_cl103,plain,
    elem @ ( m_Ack @ sk__8 @ sk__7 ) @ ( snoc @ ( queue @ ( host @ sk__8 ) ) @ ( m_Ack @ sk__5 @ sk__4 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl100_002,plain,
    ( ( host @ sk__5 )
    = ( host @ sk__8 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl681,plain,
    elem @ ( m_Ack @ sk__8 @ sk__7 ) @ ( snoc @ ( queue @ ( host @ sk__5 ) ) @ ( m_Ack @ sk__5 @ sk__4 ) ),
    inference(demod,[status(thm)],[zip_derived_cl103,zip_derived_cl100]) ).

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

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

thf(zip_derived_cl682,plain,
    ( ( elem @ ( m_Ack @ sk__8 @ sk__7 ) @ ( queue @ ( host @ sk__5 ) ) )
    | ( ( m_Ack @ sk__8 @ sk__7 )
      = ( m_Ack @ sk__5 @ sk__4 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl681,zip_derived_cl55]) ).

thf(zip_derived_cl463_003,plain,
    ( ( host @ sk__7 )
    = nbr_proc ),
    inference(demod,[status(thm)],[zip_derived_cl461,zip_derived_cl5]) ).

thf(zip_derived_cl101,plain,
    setIn @ sk__8 @ alive,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl99,plain,
    setIn @ sk__6 @ alive,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl123,plain,
    ! [X31: $i,X32: $i,X33: $i] :
      ( ( ( index @ status @ ( host @ X31 ) )
       != norm )
      | ( ( index @ ldr @ ( host @ X31 ) )
       != ( host @ X31 ) )
      | ~ ( setIn @ X31 @ alive )
      | ~ ( setIn @ X32 @ alive )
      | ~ ( elem @ ( m_Ack @ X32 @ X33 ) @ ( queue @ ( host @ X32 ) ) )
      | ~ ( leq @ nbr_proc @ ( index @ pendack @ ( host @ X32 ) ) )
      | ( ( index @ status @ ( host @ X32 ) )
       != elec_2 )
      | ( ( host @ X33 )
       != ( index @ pendack @ ( host @ X32 ) ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1025,plain,
    ! [X0: $i,X1: $i] :
      ( ( ( index @ status @ ( host @ sk__6 ) )
       != norm )
      | ( ( index @ ldr @ ( host @ sk__6 ) )
       != ( host @ sk__6 ) )
      | ~ ( setIn @ X0 @ alive )
      | ~ ( elem @ ( m_Ack @ X0 @ X1 ) @ ( queue @ ( host @ X0 ) ) )
      | ~ ( leq @ nbr_proc @ ( index @ pendack @ ( host @ X0 ) ) )
      | ( ( index @ status @ ( host @ X0 ) )
       != elec_2 )
      | ( ( host @ X1 )
       != ( index @ pendack @ ( host @ X0 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl99,zip_derived_cl123]) ).

thf(zip_derived_cl97,plain,
    ( ( index @ status @ ( host @ sk__6 ) )
    = norm ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl98,plain,
    ( ( index @ ldr @ ( host @ sk__6 ) )
    = ( host @ sk__6 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1027,plain,
    ! [X0: $i,X1: $i] :
      ( ( norm != norm )
      | ( ( host @ sk__6 )
       != ( host @ sk__6 ) )
      | ~ ( setIn @ X0 @ alive )
      | ~ ( elem @ ( m_Ack @ X0 @ X1 ) @ ( queue @ ( host @ X0 ) ) )
      | ~ ( leq @ nbr_proc @ ( index @ pendack @ ( host @ X0 ) ) )
      | ( ( index @ status @ ( host @ X0 ) )
       != elec_2 )
      | ( ( host @ X1 )
       != ( index @ pendack @ ( host @ X0 ) ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl1025,zip_derived_cl97,zip_derived_cl98]) ).

thf(zip_derived_cl1028,plain,
    ! [X0: $i,X1: $i] :
      ( ( ( host @ X1 )
       != ( index @ pendack @ ( host @ X0 ) ) )
      | ( ( index @ status @ ( host @ X0 ) )
       != elec_2 )
      | ~ ( leq @ nbr_proc @ ( index @ pendack @ ( host @ X0 ) ) )
      | ~ ( elem @ ( m_Ack @ X0 @ X1 ) @ ( queue @ ( host @ X0 ) ) )
      | ~ ( setIn @ X0 @ alive ) ),
    inference(simplify,[status(thm)],[zip_derived_cl1027]) ).

thf(zip_derived_cl1966,plain,
    ! [X0: $i] :
      ( ( ( host @ X0 )
       != ( index @ pendack @ ( host @ sk__8 ) ) )
      | ( ( index @ status @ ( host @ sk__8 ) )
       != elec_2 )
      | ~ ( leq @ nbr_proc @ ( index @ pendack @ ( host @ sk__8 ) ) )
      | ~ ( elem @ ( m_Ack @ sk__8 @ X0 ) @ ( queue @ ( host @ sk__8 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl101,zip_derived_cl1028]) ).

thf(zip_derived_cl100_004,plain,
    ( ( host @ sk__5 )
    = ( host @ sk__8 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl423_005,plain,
    ( ( host @ sk__7 )
    = ( index @ pendack @ ( host @ sk__5 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl105,zip_derived_cl100]) ).

thf(zip_derived_cl463_006,plain,
    ( ( host @ sk__7 )
    = nbr_proc ),
    inference(demod,[status(thm)],[zip_derived_cl461,zip_derived_cl5]) ).

thf(zip_derived_cl464,plain,
    ( nbr_proc
    = ( index @ pendack @ ( host @ sk__5 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl423,zip_derived_cl463]) ).

thf(zip_derived_cl100_007,plain,
    ( ( host @ sk__5 )
    = ( host @ sk__8 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl104,plain,
    ( ( index @ status @ ( host @ sk__8 ) )
    = elec_2 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl100_008,plain,
    ( ( host @ sk__5 )
    = ( host @ sk__8 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl415,plain,
    ( ( index @ status @ ( host @ sk__5 ) )
    = elec_2 ),
    inference(demod,[status(thm)],[zip_derived_cl104,zip_derived_cl100]) ).

thf(zip_derived_cl100_009,plain,
    ( ( host @ sk__5 )
    = ( host @ sk__8 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl464_010,plain,
    ( nbr_proc
    = ( index @ pendack @ ( host @ sk__5 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl423,zip_derived_cl463]) ).

thf(axiom_59,axiom,
    ! [X: $i] : ( leq @ X @ X ) ).

thf(zip_derived_cl84,plain,
    ! [X0: $i] : ( leq @ X0 @ X0 ),
    inference(cnf,[status(esa)],[axiom_59]) ).

thf(zip_derived_cl100_011,plain,
    ( ( host @ sk__5 )
    = ( host @ sk__8 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1968,plain,
    ! [X0: $i] :
      ( ( ( host @ X0 )
       != nbr_proc )
      | ( elec_2 != elec_2 )
      | ~ ( elem @ ( m_Ack @ sk__8 @ X0 ) @ ( queue @ ( host @ sk__5 ) ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl1966,zip_derived_cl100,zip_derived_cl464,zip_derived_cl100,zip_derived_cl415,zip_derived_cl100,zip_derived_cl464,zip_derived_cl84,zip_derived_cl100]) ).

thf(zip_derived_cl1969,plain,
    ! [X0: $i] :
      ( ~ ( elem @ ( m_Ack @ sk__8 @ X0 ) @ ( queue @ ( host @ sk__5 ) ) )
      | ( ( host @ X0 )
       != nbr_proc ) ),
    inference(simplify,[status(thm)],[zip_derived_cl1968]) ).

thf(zip_derived_cl1978,plain,
    ( ~ ( elem @ ( m_Ack @ sk__8 @ sk__7 ) @ ( queue @ ( host @ sk__5 ) ) )
    | ( nbr_proc != nbr_proc ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl463,zip_derived_cl1969]) ).

thf(zip_derived_cl1980,plain,
    ~ ( elem @ ( m_Ack @ sk__8 @ sk__7 ) @ ( queue @ ( host @ sk__5 ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl1978]) ).

thf(zip_derived_cl1982,plain,
    ( ( m_Ack @ sk__8 @ sk__7 )
    = ( m_Ack @ sk__5 @ sk__4 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl682,zip_derived_cl1980]) ).

thf(axiom_32,axiom,
    ! [X1: $i,X2: $i,Y1: $i,Y2: $i] :
      ( ( Y1 != Y2 )
     => ( ( m_Ack @ X1 @ Y1 )
       != ( m_Ack @ X2 @ Y2 ) ) ) ).

thf(zip_derived_cl38,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( ( m_Ack @ X2 @ X3 )
       != ( m_Ack @ X0 @ X1 ) )
      | ( X3 = X1 ) ),
    inference(cnf,[status(esa)],[axiom_32]) ).

thf(zip_derived_cl2007,plain,
    ! [X0: $i,X1: $i] :
      ( ( ( m_Ack @ X1 @ X0 )
       != ( m_Ack @ sk__5 @ sk__4 ) )
      | ( X0 = sk__7 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl1982,zip_derived_cl38]) ).

thf(zip_derived_cl2028,plain,
    sk__4 = sk__7,
    inference(eq_res,[status(thm)],[zip_derived_cl2007]) ).

thf(zip_derived_cl2030,plain,
    ( ( host @ sk__4 )
    = nbr_proc ),
    inference(demod,[status(thm)],[zip_derived_cl463,zip_derived_cl2028]) ).

thf(zip_derived_cl101_012,plain,
    setIn @ sk__8 @ alive,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1982_013,plain,
    ( ( m_Ack @ sk__8 @ sk__7 )
    = ( m_Ack @ sk__5 @ sk__4 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl682,zip_derived_cl1980]) ).

thf(zip_derived_cl2028_014,plain,
    sk__4 = sk__7,
    inference(eq_res,[status(thm)],[zip_derived_cl2007]) ).

thf(zip_derived_cl2047,plain,
    ( ( m_Ack @ sk__8 @ sk__4 )
    = ( m_Ack @ sk__5 @ sk__4 ) ),
    inference(demod,[status(thm)],[zip_derived_cl1982,zip_derived_cl2028]) ).

thf(axiom_31,axiom,
    ! [X1: $i,X2: $i,Y1: $i,Y2: $i] :
      ( ( X1 != X2 )
     => ( ( m_Ack @ X1 @ Y1 )
       != ( m_Ack @ X2 @ Y2 ) ) ) ).

thf(zip_derived_cl37,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( X1 = X0 )
      | ( ( m_Ack @ X1 @ X3 )
       != ( m_Ack @ X0 @ X2 ) ) ),
    inference(cnf,[status(esa)],[axiom_31]) ).

thf(zip_derived_cl2234,plain,
    ! [X0: $i,X1: $i] :
      ( ( X1 = sk__8 )
      | ( ( m_Ack @ X1 @ X0 )
       != ( m_Ack @ sk__5 @ sk__4 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl2047,zip_derived_cl37]) ).

thf(zip_derived_cl2466,plain,
    sk__5 = sk__8,
    inference(eq_res,[status(thm)],[zip_derived_cl2234]) ).

thf(zip_derived_cl2468,plain,
    setIn @ sk__5 @ alive,
    inference(demod,[status(thm)],[zip_derived_cl101,zip_derived_cl2466]) ).

thf(zip_derived_cl99_015,plain,
    setIn @ sk__6 @ alive,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl122,plain,
    ! [X28: $i,X29: $i,X30: $i] :
      ( ( ( index @ status @ ( host @ X28 ) )
       != norm )
      | ( ( index @ ldr @ ( host @ X28 ) )
       != ( host @ X28 ) )
      | ~ ( setIn @ X28 @ alive )
      | ( leq @ ( index @ pendack @ ( host @ X29 ) ) @ ( host @ X28 ) )
      | ~ ( setIn @ X29 @ alive )
      | ~ ( elem @ ( m_Halt @ X29 ) @ ( queue @ ( host @ X30 ) ) )
      | ( ( index @ status @ ( host @ X29 ) )
       != elec_2 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl997,plain,
    ! [X0: $i,X1: $i] :
      ( ( ( index @ status @ ( host @ sk__6 ) )
       != norm )
      | ( ( index @ ldr @ ( host @ sk__6 ) )
       != ( host @ sk__6 ) )
      | ( leq @ ( index @ pendack @ ( host @ X0 ) ) @ ( host @ sk__6 ) )
      | ~ ( setIn @ X0 @ alive )
      | ~ ( elem @ ( m_Halt @ X0 ) @ ( queue @ ( host @ X1 ) ) )
      | ( ( index @ status @ ( host @ X0 ) )
       != elec_2 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl99,zip_derived_cl122]) ).

thf(zip_derived_cl97_016,plain,
    ( ( index @ status @ ( host @ sk__6 ) )
    = norm ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl98_017,plain,
    ( ( index @ ldr @ ( host @ sk__6 ) )
    = ( host @ sk__6 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl999,plain,
    ! [X0: $i,X1: $i] :
      ( ( norm != norm )
      | ( ( host @ sk__6 )
       != ( host @ sk__6 ) )
      | ( leq @ ( index @ pendack @ ( host @ X0 ) ) @ ( host @ sk__6 ) )
      | ~ ( setIn @ X0 @ alive )
      | ~ ( elem @ ( m_Halt @ X0 ) @ ( queue @ ( host @ X1 ) ) )
      | ( ( index @ status @ ( host @ X0 ) )
       != elec_2 ) ),
    inference(demod,[status(thm)],[zip_derived_cl997,zip_derived_cl97,zip_derived_cl98]) ).

thf(zip_derived_cl1000,plain,
    ! [X0: $i,X1: $i] :
      ( ( ( index @ status @ ( host @ X0 ) )
       != elec_2 )
      | ~ ( elem @ ( m_Halt @ X0 ) @ ( queue @ ( host @ X1 ) ) )
      | ~ ( setIn @ X0 @ alive )
      | ( leq @ ( index @ pendack @ ( host @ X0 ) ) @ ( host @ sk__6 ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl999]) ).

thf(zip_derived_cl2582,plain,
    ! [X0: $i] :
      ( ( ( index @ status @ ( host @ sk__5 ) )
       != elec_2 )
      | ~ ( elem @ ( m_Halt @ sk__5 ) @ ( queue @ ( host @ X0 ) ) )
      | ( leq @ ( index @ pendack @ ( host @ sk__5 ) ) @ ( host @ sk__6 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl2468,zip_derived_cl1000]) ).

thf(zip_derived_cl415_018,plain,
    ( ( index @ status @ ( host @ sk__5 ) )
    = elec_2 ),
    inference(demod,[status(thm)],[zip_derived_cl104,zip_derived_cl100]) ).

thf(zip_derived_cl464_019,plain,
    ( nbr_proc
    = ( index @ pendack @ ( host @ sk__5 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl423,zip_derived_cl463]) ).

thf(zip_derived_cl2585,plain,
    ! [X0: $i] :
      ( ( elec_2 != elec_2 )
      | ~ ( elem @ ( m_Halt @ sk__5 ) @ ( queue @ ( host @ X0 ) ) )
      | ( leq @ nbr_proc @ ( host @ sk__6 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl2582,zip_derived_cl415,zip_derived_cl464]) ).

thf(zip_derived_cl2586,plain,
    ! [X0: $i] :
      ( ( leq @ nbr_proc @ ( host @ sk__6 ) )
      | ~ ( elem @ ( m_Halt @ sk__5 ) @ ( queue @ ( host @ X0 ) ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl2585]) ).

thf(zip_derived_cl3415,plain,
    ( ( leq @ nbr_proc @ ( host @ sk__6 ) )
    | ~ ( elem @ ( m_Halt @ sk__5 ) @ ( queue @ nbr_proc ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl2030,zip_derived_cl2586]) ).

thf(zip_derived_cl107,plain,
    ( ( queue @ ( host @ sk__4 ) )
    = ( cons @ ( m_Halt @ sk__5 ) @ sk__3 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl2030_020,plain,
    ( ( host @ sk__4 )
    = nbr_proc ),
    inference(demod,[status(thm)],[zip_derived_cl463,zip_derived_cl2028]) ).

thf(zip_derived_cl2054,plain,
    ( ( queue @ nbr_proc )
    = ( cons @ ( m_Halt @ sk__5 ) @ sk__3 ) ),
    inference(demod,[status(thm)],[zip_derived_cl107,zip_derived_cl2030]) ).

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_cl511,plain,
    ! [X0: $i,X1: $i] : ( elem @ X1 @ ( cons @ X1 @ X0 ) ),
    inference(eq_res,[status(thm)],[zip_derived_cl53]) ).

thf(zip_derived_cl3825,plain,
    elem @ ( m_Halt @ sk__5 ) @ ( queue @ nbr_proc ),
    inference('s_sup+',[status(thm)],[zip_derived_cl2054,zip_derived_cl511]) ).

thf(zip_derived_cl3827,plain,
    leq @ nbr_proc @ ( host @ sk__6 ),
    inference(demod,[status(thm)],[zip_derived_cl3415,zip_derived_cl3825]) ).

thf(zip_derived_cl86_021,plain,
    ! [X0: $i,X1: $i] :
      ( ( X1 = X0 )
      | ~ ( leq @ X0 @ X1 )
      | ~ ( leq @ X1 @ X0 ) ),
    inference(cnf,[status(esa)],[axiom_61]) ).

thf(zip_derived_cl3829,plain,
    ( ( ( host @ sk__6 )
      = nbr_proc )
    | ~ ( leq @ ( host @ sk__6 ) @ nbr_proc ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl3827,zip_derived_cl86]) ).

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

thf(zip_derived_cl3852,plain,
    ( ( host @ sk__6 )
    = nbr_proc ),
    inference(demod,[status(thm)],[zip_derived_cl3829,zip_derived_cl5]) ).

thf(zip_derived_cl96,plain,
    ( ( host @ sk__4 )
   != ( host @ sk__6 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl2030_023,plain,
    ( ( host @ sk__4 )
    = nbr_proc ),
    inference(demod,[status(thm)],[zip_derived_cl463,zip_derived_cl2028]) ).

thf(zip_derived_cl2053,plain,
    ( nbr_proc
   != ( host @ sk__6 ) ),
    inference(demod,[status(thm)],[zip_derived_cl96,zip_derived_cl2030]) ).

thf(zip_derived_cl3853,plain,
    $false,
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl3852,zip_derived_cl2053]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : SWV457+1 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.13  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.qVwMM7YYZR true
% 0.14/0.34  % Computer : n015.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit : 300
% 0.14/0.34  % WCLimit  : 300
% 0.14/0.34  % DateTime : Tue Aug 29 06:56:11 EDT 2023
% 0.14/0.35  % CPUTime  : 
% 0.14/0.35  % Running portfolio for 300 s
% 0.14/0.35  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.35  % Number of cores: 8
% 0.14/0.35  % Python version: Python 3.6.8
% 0.21/0.35  % Running in FO mode
% 0.21/0.64  % Total configuration time : 435
% 0.21/0.64  % Estimated wc time : 1092
% 0.21/0.64  % Estimated cpu time (7 cpus) : 156.0
% 0.21/0.73  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.21/0.73  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.21/0.74  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.21/0.77  % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.21/0.77  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.21/0.77  % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.21/0.77  % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 10.52/2.26  % Solved by fo/fo6_bce.sh.
% 10.52/2.26  % BCE start: 125
% 10.52/2.26  % BCE eliminated: 0
% 10.52/2.26  % PE start: 125
% 10.52/2.26  logic: eq
% 10.52/2.26  % PE eliminated: 0
% 10.52/2.26  % done 943 iterations in 1.482s
% 10.52/2.26  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 10.52/2.26  % SZS output start Refutation
% See solution above
% 10.52/2.26  
% 10.52/2.26  
% 10.52/2.26  % Terminating...
% 12.09/2.35  % Runner terminated.
% 12.09/2.36  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------