TSTP Solution File: SWV471+1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SWV471+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.9zXsJSJ4Ve true

% Computer : n013.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 00:10:07 EDT 2023

% Result   : Theorem 16.86s 3.06s
% Output   : Refutation 16.86s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   20
%            Number of leaves      :   36
% Syntax   : Number of formulae    :  128 (  42 unt;  32 typ;   0 def)
%            Number of atoms       :  387 ( 158 equ;   0 cnn)
%            Maximal formula atoms :   66 (   4 avg)
%            Number of connectives : 1680 ( 221   ~; 167   |;  84   &;1168   @)
%                                         (   2 <=>;  38  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   29 (   7 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   23 (  23   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   34 (  32 usr;  18 con; 0-2 aty)
%            Number of variables   :  176 (   0   ^; 176   !;   0   ?; 176   :)

% Comments : 
%------------------------------------------------------------------------------
thf(wait_type,type,
    wait: $i ).

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

thf(m_NotNorm_type,type,
    m_NotNorm: $i > $i ).

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

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

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

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

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

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

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

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

thf(conj,conjecture,
    ! [V: $i,W: $i,X: $i] :
      ( ( ! [Y: $i,Z: $i] :
            ( ( elem @ ( m_Ldr @ Z ) @ ( queue @ ( host @ Y ) ) )
           => ~ ( leq @ ( host @ Y ) @ ( host @ Z ) ) )
        & ! [Y: $i,Z: $i] :
            ( ( elem @ ( m_Down @ Z ) @ ( queue @ ( host @ Y ) ) )
           => ( ( host @ Z )
             != ( host @ Y ) ) )
        & ! [Y: $i,Z: $i] :
            ( ( ( host @ Z )
              = nbr_proc )
           => ~ ( elem @ ( m_NotNorm @ Y ) @ ( queue @ ( host @ Z ) ) ) )
        & ! [Y: $i,Z: $i] :
            ( ( ( Z != Y )
              & ( ( host @ Z )
                = ( host @ Y ) ) )
           => ( ~ ( setIn @ Y @ alive )
              | ~ ( setIn @ Z @ alive ) ) )
        & ! [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] :
            ( ( ( ( host @ Pid0 )
               != ( host @ Z ) )
              & ( setIn @ Pid0 @ alive )
              & ( ( host @ Pid0 )
                = ( host @ Y ) )
              & ( ( index @ ldr @ ( host @ Pid0 ) )
                = ( host @ Z ) )
              & ( ( index @ status @ ( host @ Pid0 ) )
                = norm ) )
           => ~ ( elem @ ( m_Down @ Y ) @ ( queue @ ( host @ Z ) ) ) )
        & ! [Y: $i,Z: $i,Pid0: $i] :
            ( ( ( ( host @ Pid0 )
               != ( host @ Z ) )
              & ( setIn @ Pid0 @ alive )
              & ( ( host @ Pid0 )
                = ( host @ Y ) )
              & ( ( index @ status @ ( host @ Pid0 ) )
                = wait )
              & ( ( host @ ( index @ elid @ ( host @ Pid0 ) ) )
                = ( host @ Z ) ) )
           => ~ ( elem @ ( m_Down @ Y ) @ ( queue @ ( host @ Z ) ) ) )
        & ! [Y: $i,Z: $i,Pid20: $i,Pid0: $i] :
            ( ( ( ( host @ Pid20 )
               != ( host @ Y ) )
              & ( setIn @ Y @ alive )
              & ( setIn @ Pid20 @ alive )
              & ( ( host @ Z )
                = ( host @ Y ) )
              & ( ( host @ Pid0 )
                = ( host @ Pid20 ) ) )
           => ~ ( ( elem @ ( m_Down @ Pid0 ) @ ( queue @ ( host @ Y ) ) )
                & ( elem @ ( m_Down @ Z ) @ ( queue @ ( host @ Pid20 ) ) ) ) )
        & ! [Y: $i,Z: $i,Pid20: $i,Pid0: $i] :
            ( ( ( ( host @ Pid20 )
               != ( host @ Y ) )
              & ( setIn @ Y @ alive )
              & ( setIn @ Pid20 @ alive )
              & ( ( host @ Z )
                = ( host @ Y ) )
              & ( ( host @ Pid0 )
                = ( host @ Pid20 ) ) )
           => ~ ( ( elem @ ( m_Down @ Pid0 ) @ ( queue @ ( host @ Y ) ) )
                & ( setIn @ ( host @ Z ) @ ( index @ down @ ( host @ Pid20 ) ) ) ) )
        & ! [Y: $i,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 ) ) ) )
              & ( elem @ ( m_Down @ Pid20 ) @ ( queue @ ( host @ Pid0 ) ) )
              & ( ( host @ Pid0 )
                = ( host @ Z ) )
              & ( ( host @ Pid0 )
                = nbr_proc )
              & ( ( index @ status @ ( host @ Pid0 ) )
                = elec_1 ) )
           => ~ ( ( setIn @ Y @ alive )
                & ( elem @ ( m_Down @ Z ) @ ( queue @ ( host @ Y ) ) ) ) )
        & ( ( queue @ ( host @ W ) )
          = ( cons @ ( m_Halt @ X ) @ V ) ) )
     => ( ( setIn @ W @ alive )
       => ! [Y: $i] :
            ( ( ( host @ X )
             != ( host @ Y ) )
           => ( ( ( host @ W )
                = ( host @ Y ) )
             => ! [Z: $i,X0: $i,Y0: $i] :
                  ( ( ( host @ X )
                    = ( host @ Y0 ) )
                 => ( ( ( host @ W )
                     != ( host @ Y0 ) )
                   => ( ( ! [V0: $i] :
                            ( ( ~ ( leq @ ( host @ Y0 ) @ V0 )
                              & ( leq @ ( s @ zero ) @ V0 ) )
                           => ( ( setIn @ V0 @ ( index @ down @ ( host @ Y0 ) ) )
                              | ( V0
                                = ( host @ X0 ) ) ) )
                        & ( elem @ ( m_Down @ X0 ) @ ( snoc @ ( queue @ ( host @ Y0 ) ) @ ( m_Ack @ X @ W ) ) )
                        & ( ( host @ Y0 )
                          = ( host @ Z ) )
                        & ( ( host @ Y0 )
                          = nbr_proc )
                        & ( ( index @ status @ ( host @ Y0 ) )
                          = elec_1 ) )
                     => ~ ( ( setIn @ Y @ alive )
                          & ( elem @ ( m_Down @ Z ) @ V ) ) ) ) ) ) ) ) ) ).

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

thf(zip_derived_cl107,plain,
    ( ( queue @ ( host @ sk__4 ) )
    = ( cons @ ( m_Halt @ sk__6 ) @ 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_cl54,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( elem @ X0 @ ( cons @ X1 @ X2 ) )
      | ~ ( elem @ X0 @ X2 ) ),
    inference(cnf,[status(esa)],[axiom_46]) ).

thf(zip_derived_cl560,plain,
    ! [X0: $i] :
      ( ( elem @ X0 @ ( queue @ ( host @ sk__4 ) ) )
      | ~ ( elem @ X0 @ sk__3 ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl107,zip_derived_cl54]) ).

thf(zip_derived_cl122,plain,
    setIn @ sk__4 @ alive,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl102,plain,
    ( ( host @ sk__10 )
    = ( host @ sk__8 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl103,plain,
    ( ( host @ sk__10 )
    = nbr_proc ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl413,plain,
    ( nbr_proc
    = ( host @ sk__8 ) ),
    inference(demod,[status(thm)],[zip_derived_cl102,zip_derived_cl103]) ).

thf(zip_derived_cl99,plain,
    ( ( host @ sk__6 )
    = ( host @ sk__10 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl103_001,plain,
    ( ( host @ sk__10 )
    = nbr_proc ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl404,plain,
    ( ( host @ sk__6 )
    = nbr_proc ),
    inference(demod,[status(thm)],[zip_derived_cl99,zip_derived_cl103]) ).

thf(zip_derived_cl120,plain,
    ! [X24: $i,X25: $i,X26: $i,X27: $i] :
      ( ~ ( elem @ ( m_Down @ X24 ) @ ( queue @ ( host @ X25 ) ) )
      | ~ ( setIn @ X25 @ alive )
      | ( leq @ ( s @ zero ) @ ( sk__5 @ X27 @ X26 ) )
      | ~ ( elem @ ( m_Down @ X26 ) @ ( queue @ ( host @ X27 ) ) )
      | ( ( host @ X27 )
       != ( host @ X24 ) )
      | ( ( host @ X27 )
       != nbr_proc )
      | ( ( index @ status @ ( host @ X27 ) )
       != elec_1 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1010,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( elem @ ( m_Down @ X1 ) @ ( queue @ ( host @ X0 ) ) )
      | ~ ( setIn @ X0 @ alive )
      | ( leq @ ( s @ zero ) @ ( sk__5 @ sk__6 @ X2 ) )
      | ~ ( elem @ ( m_Down @ X2 ) @ ( queue @ nbr_proc ) )
      | ( nbr_proc
       != ( host @ X1 ) )
      | ( nbr_proc != nbr_proc )
      | ( ( index @ status @ nbr_proc )
       != elec_1 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl404,zip_derived_cl120]) ).

thf(zip_derived_cl104,plain,
    ( ( index @ status @ ( host @ sk__10 ) )
    = elec_1 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl103_002,plain,
    ( ( host @ sk__10 )
    = nbr_proc ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl450,plain,
    ( ( index @ status @ nbr_proc )
    = elec_1 ),
    inference(demod,[status(thm)],[zip_derived_cl104,zip_derived_cl103]) ).

thf(zip_derived_cl1013,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( elem @ ( m_Down @ X1 ) @ ( queue @ ( host @ X0 ) ) )
      | ~ ( setIn @ X0 @ alive )
      | ( leq @ ( s @ zero ) @ ( sk__5 @ sk__6 @ X2 ) )
      | ~ ( elem @ ( m_Down @ X2 ) @ ( queue @ nbr_proc ) )
      | ( nbr_proc
       != ( host @ X1 ) )
      | ( nbr_proc != nbr_proc )
      | ( elec_1 != elec_1 ) ),
    inference(demod,[status(thm)],[zip_derived_cl1010,zip_derived_cl450]) ).

thf(zip_derived_cl1014,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( nbr_proc
       != ( host @ X1 ) )
      | ~ ( elem @ ( m_Down @ X2 ) @ ( queue @ nbr_proc ) )
      | ( leq @ ( s @ zero ) @ ( sk__5 @ sk__6 @ X2 ) )
      | ~ ( setIn @ X0 @ alive )
      | ~ ( elem @ ( m_Down @ X1 ) @ ( queue @ ( host @ X0 ) ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl1013]) ).

thf(zip_derived_cl1966,plain,
    ! [X0: $i,X1: $i] :
      ( ( nbr_proc != nbr_proc )
      | ~ ( elem @ ( m_Down @ X0 ) @ ( queue @ nbr_proc ) )
      | ( leq @ ( s @ zero ) @ ( sk__5 @ sk__6 @ X0 ) )
      | ~ ( setIn @ X1 @ alive )
      | ~ ( elem @ ( m_Down @ sk__8 ) @ ( queue @ ( host @ X1 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl413,zip_derived_cl1014]) ).

thf(zip_derived_cl1969,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( elem @ ( m_Down @ sk__8 ) @ ( queue @ ( host @ X1 ) ) )
      | ~ ( setIn @ X1 @ alive )
      | ( leq @ ( s @ zero ) @ ( sk__5 @ sk__6 @ X0 ) )
      | ~ ( elem @ ( m_Down @ X0 ) @ ( queue @ nbr_proc ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl1966]) ).

thf(zip_derived_cl3969,plain,
    ! [X0: $i] :
      ( ~ ( elem @ ( m_Down @ sk__8 ) @ ( queue @ ( host @ sk__4 ) ) )
      | ( leq @ ( s @ zero ) @ ( sk__5 @ sk__6 @ X0 ) )
      | ~ ( elem @ ( m_Down @ X0 ) @ ( queue @ nbr_proc ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl122,zip_derived_cl1969]) ).

thf(zip_derived_cl6379,plain,
    ! [X0: $i] :
      ( ~ ( elem @ ( m_Down @ sk__8 ) @ sk__3 )
      | ( leq @ ( s @ zero ) @ ( sk__5 @ sk__6 @ X0 ) )
      | ~ ( elem @ ( m_Down @ X0 ) @ ( queue @ nbr_proc ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl560,zip_derived_cl3969]) ).

thf(zip_derived_cl97,plain,
    elem @ ( m_Down @ sk__8 ) @ sk__3,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl6380,plain,
    ! [X0: $i] :
      ( ( leq @ ( s @ zero ) @ ( sk__5 @ sk__6 @ X0 ) )
      | ~ ( elem @ ( m_Down @ X0 ) @ ( queue @ nbr_proc ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl6379,zip_derived_cl97]) ).

thf(zip_derived_cl100,plain,
    ! [X0: $i] :
      ( ( X0
        = ( host @ sk__9 ) )
      | ( setIn @ X0 @ ( index @ down @ ( host @ sk__10 ) ) )
      | ~ ( leq @ ( s @ zero ) @ X0 )
      | ( leq @ ( host @ sk__10 ) @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl103_003,plain,
    ( ( host @ sk__10 )
    = nbr_proc ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl103_004,plain,
    ( ( host @ sk__10 )
    = nbr_proc ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl889,plain,
    ! [X0: $i] :
      ( ( X0
        = ( host @ sk__9 ) )
      | ( setIn @ X0 @ ( index @ down @ nbr_proc ) )
      | ~ ( leq @ ( s @ zero ) @ X0 )
      | ( leq @ nbr_proc @ X0 ) ),
    inference(demod,[status(thm)],[zip_derived_cl100,zip_derived_cl103,zip_derived_cl103]) ).

thf(zip_derived_cl101,plain,
    elem @ ( m_Down @ sk__9 ) @ ( snoc @ ( queue @ ( host @ sk__10 ) ) @ ( m_Ack @ sk__6 @ sk__4 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl103_005,plain,
    ( ( host @ sk__10 )
    = nbr_proc ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl740,plain,
    elem @ ( m_Down @ sk__9 ) @ ( snoc @ ( queue @ nbr_proc ) @ ( m_Ack @ sk__6 @ sk__4 ) ),
    inference(demod,[status(thm)],[zip_derived_cl101,zip_derived_cl103]) ).

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_cl741,plain,
    ( ( elem @ ( m_Down @ sk__9 ) @ ( queue @ nbr_proc ) )
    | ( ( m_Down @ sk__9 )
      = ( m_Ack @ sk__6 @ sk__4 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl740,zip_derived_cl55]) ).

thf(axiom_12,axiom,
    ! [X: $i,Y: $i,Z: $i] :
      ( ( m_Ack @ X @ Y )
     != ( m_Down @ Z ) ) ).

thf(zip_derived_cl13,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( m_Ack @ X1 @ X2 )
     != ( m_Down @ X0 ) ),
    inference(cnf,[status(esa)],[axiom_12]) ).

thf(zip_derived_cl742,plain,
    elem @ ( m_Down @ sk__9 ) @ ( queue @ nbr_proc ),
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl741,zip_derived_cl13]) ).

thf(zip_derived_cl560_006,plain,
    ! [X0: $i] :
      ( ( elem @ X0 @ ( queue @ ( host @ sk__4 ) ) )
      | ~ ( elem @ X0 @ sk__3 ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl107,zip_derived_cl54]) ).

thf(zip_derived_cl122_007,plain,
    setIn @ sk__4 @ alive,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl413_008,plain,
    ( nbr_proc
    = ( host @ sk__8 ) ),
    inference(demod,[status(thm)],[zip_derived_cl102,zip_derived_cl103]) ).

thf(zip_derived_cl404_009,plain,
    ( ( host @ sk__6 )
    = nbr_proc ),
    inference(demod,[status(thm)],[zip_derived_cl99,zip_derived_cl103]) ).

thf(zip_derived_cl119,plain,
    ! [X24: $i,X25: $i,X26: $i,X27: $i] :
      ( ~ ( elem @ ( m_Down @ X24 ) @ ( queue @ ( host @ X25 ) ) )
      | ~ ( setIn @ X25 @ alive )
      | ~ ( setIn @ ( sk__5 @ X27 @ X26 ) @ ( index @ down @ ( host @ X27 ) ) )
      | ~ ( elem @ ( m_Down @ X26 ) @ ( queue @ ( host @ X27 ) ) )
      | ( ( host @ X27 )
       != ( host @ X24 ) )
      | ( ( host @ X27 )
       != nbr_proc )
      | ( ( index @ status @ ( host @ X27 ) )
       != elec_1 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl995,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( elem @ ( m_Down @ X1 ) @ ( queue @ ( host @ X0 ) ) )
      | ~ ( setIn @ X0 @ alive )
      | ~ ( setIn @ ( sk__5 @ sk__6 @ X2 ) @ ( index @ down @ nbr_proc ) )
      | ~ ( elem @ ( m_Down @ X2 ) @ ( queue @ nbr_proc ) )
      | ( nbr_proc
       != ( host @ X1 ) )
      | ( nbr_proc != nbr_proc )
      | ( ( index @ status @ nbr_proc )
       != elec_1 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl404,zip_derived_cl119]) ).

thf(zip_derived_cl450_010,plain,
    ( ( index @ status @ nbr_proc )
    = elec_1 ),
    inference(demod,[status(thm)],[zip_derived_cl104,zip_derived_cl103]) ).

thf(zip_derived_cl998,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( elem @ ( m_Down @ X1 ) @ ( queue @ ( host @ X0 ) ) )
      | ~ ( setIn @ X0 @ alive )
      | ~ ( setIn @ ( sk__5 @ sk__6 @ X2 ) @ ( index @ down @ nbr_proc ) )
      | ~ ( elem @ ( m_Down @ X2 ) @ ( queue @ nbr_proc ) )
      | ( nbr_proc
       != ( host @ X1 ) )
      | ( nbr_proc != nbr_proc )
      | ( elec_1 != elec_1 ) ),
    inference(demod,[status(thm)],[zip_derived_cl995,zip_derived_cl450]) ).

thf(zip_derived_cl999,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( nbr_proc
       != ( host @ X1 ) )
      | ~ ( elem @ ( m_Down @ X2 ) @ ( queue @ nbr_proc ) )
      | ~ ( setIn @ ( sk__5 @ sk__6 @ X2 ) @ ( index @ down @ nbr_proc ) )
      | ~ ( setIn @ X0 @ alive )
      | ~ ( elem @ ( m_Down @ X1 ) @ ( queue @ ( host @ X0 ) ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl998]) ).

thf(zip_derived_cl1902,plain,
    ! [X0: $i,X1: $i] :
      ( ( nbr_proc != nbr_proc )
      | ~ ( elem @ ( m_Down @ X0 ) @ ( queue @ nbr_proc ) )
      | ~ ( setIn @ ( sk__5 @ sk__6 @ X0 ) @ ( index @ down @ nbr_proc ) )
      | ~ ( setIn @ X1 @ alive )
      | ~ ( elem @ ( m_Down @ sk__8 ) @ ( queue @ ( host @ X1 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl413,zip_derived_cl999]) ).

thf(zip_derived_cl1905,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( elem @ ( m_Down @ sk__8 ) @ ( queue @ ( host @ X1 ) ) )
      | ~ ( setIn @ X1 @ alive )
      | ~ ( setIn @ ( sk__5 @ sk__6 @ X0 ) @ ( index @ down @ nbr_proc ) )
      | ~ ( elem @ ( m_Down @ X0 ) @ ( queue @ nbr_proc ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl1902]) ).

thf(zip_derived_cl2320,plain,
    ! [X0: $i] :
      ( ~ ( elem @ ( m_Down @ sk__8 ) @ ( queue @ ( host @ sk__4 ) ) )
      | ~ ( setIn @ ( sk__5 @ sk__6 @ X0 ) @ ( index @ down @ nbr_proc ) )
      | ~ ( elem @ ( m_Down @ X0 ) @ ( queue @ nbr_proc ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl122,zip_derived_cl1905]) ).

thf(zip_derived_cl3493,plain,
    ! [X0: $i] :
      ( ~ ( elem @ ( m_Down @ sk__8 ) @ sk__3 )
      | ~ ( setIn @ ( sk__5 @ sk__6 @ X0 ) @ ( index @ down @ nbr_proc ) )
      | ~ ( elem @ ( m_Down @ X0 ) @ ( queue @ nbr_proc ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl560,zip_derived_cl2320]) ).

thf(zip_derived_cl97_011,plain,
    elem @ ( m_Down @ sk__8 ) @ sk__3,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl3494,plain,
    ! [X0: $i] :
      ( ~ ( setIn @ ( sk__5 @ sk__6 @ X0 ) @ ( index @ down @ nbr_proc ) )
      | ~ ( elem @ ( m_Down @ X0 ) @ ( queue @ nbr_proc ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl3493,zip_derived_cl97]) ).

thf(zip_derived_cl3563,plain,
    ~ ( setIn @ ( sk__5 @ sk__6 @ sk__9 ) @ ( index @ down @ nbr_proc ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl742,zip_derived_cl3494]) ).

thf(zip_derived_cl3583,plain,
    ( ( leq @ nbr_proc @ ( sk__5 @ sk__6 @ sk__9 ) )
    | ~ ( leq @ ( s @ zero ) @ ( sk__5 @ sk__6 @ sk__9 ) )
    | ( ( sk__5 @ sk__6 @ sk__9 )
      = ( host @ sk__9 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl889,zip_derived_cl3563]) ).

thf(zip_derived_cl6488,plain,
    ( ~ ( elem @ ( m_Down @ sk__9 ) @ ( queue @ nbr_proc ) )
    | ( leq @ nbr_proc @ ( sk__5 @ sk__6 @ sk__9 ) )
    | ( ( sk__5 @ sk__6 @ sk__9 )
      = ( host @ sk__9 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl6380,zip_derived_cl3583]) ).

thf(zip_derived_cl742_012,plain,
    elem @ ( m_Down @ sk__9 ) @ ( queue @ nbr_proc ),
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl741,zip_derived_cl13]) ).

thf(zip_derived_cl6489,plain,
    ( ( leq @ nbr_proc @ ( sk__5 @ sk__6 @ sk__9 ) )
    | ( ( sk__5 @ sk__6 @ sk__9 )
      = ( host @ sk__9 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl6488,zip_derived_cl742]) ).

thf(zip_derived_cl560_013,plain,
    ! [X0: $i] :
      ( ( elem @ X0 @ ( queue @ ( host @ sk__4 ) ) )
      | ~ ( elem @ X0 @ sk__3 ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl107,zip_derived_cl54]) ).

thf(zip_derived_cl122_014,plain,
    setIn @ sk__4 @ alive,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl413_015,plain,
    ( nbr_proc
    = ( host @ sk__8 ) ),
    inference(demod,[status(thm)],[zip_derived_cl102,zip_derived_cl103]) ).

thf(zip_derived_cl404_016,plain,
    ( ( host @ sk__6 )
    = nbr_proc ),
    inference(demod,[status(thm)],[zip_derived_cl99,zip_derived_cl103]) ).

thf(zip_derived_cl121,plain,
    ! [X24: $i,X25: $i,X26: $i,X27: $i] :
      ( ~ ( elem @ ( m_Down @ X24 ) @ ( queue @ ( host @ X25 ) ) )
      | ~ ( setIn @ X25 @ alive )
      | ~ ( leq @ ( host @ X27 ) @ ( sk__5 @ X27 @ X26 ) )
      | ~ ( elem @ ( m_Down @ X26 ) @ ( queue @ ( host @ X27 ) ) )
      | ( ( host @ X27 )
       != ( host @ X24 ) )
      | ( ( host @ X27 )
       != nbr_proc )
      | ( ( index @ status @ ( host @ X27 ) )
       != elec_1 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1032,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( elem @ ( m_Down @ X1 ) @ ( queue @ ( host @ X0 ) ) )
      | ~ ( setIn @ X0 @ alive )
      | ~ ( leq @ nbr_proc @ ( sk__5 @ sk__6 @ X2 ) )
      | ~ ( elem @ ( m_Down @ X2 ) @ ( queue @ nbr_proc ) )
      | ( nbr_proc
       != ( host @ X1 ) )
      | ( nbr_proc != nbr_proc )
      | ( ( index @ status @ nbr_proc )
       != elec_1 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl404,zip_derived_cl121]) ).

thf(zip_derived_cl450_017,plain,
    ( ( index @ status @ nbr_proc )
    = elec_1 ),
    inference(demod,[status(thm)],[zip_derived_cl104,zip_derived_cl103]) ).

thf(zip_derived_cl1035,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( elem @ ( m_Down @ X1 ) @ ( queue @ ( host @ X0 ) ) )
      | ~ ( setIn @ X0 @ alive )
      | ~ ( leq @ nbr_proc @ ( sk__5 @ sk__6 @ X2 ) )
      | ~ ( elem @ ( m_Down @ X2 ) @ ( queue @ nbr_proc ) )
      | ( nbr_proc
       != ( host @ X1 ) )
      | ( nbr_proc != nbr_proc )
      | ( elec_1 != elec_1 ) ),
    inference(demod,[status(thm)],[zip_derived_cl1032,zip_derived_cl450]) ).

thf(zip_derived_cl1036,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( nbr_proc
       != ( host @ X1 ) )
      | ~ ( elem @ ( m_Down @ X2 ) @ ( queue @ nbr_proc ) )
      | ~ ( leq @ nbr_proc @ ( sk__5 @ sk__6 @ X2 ) )
      | ~ ( setIn @ X0 @ alive )
      | ~ ( elem @ ( m_Down @ X1 ) @ ( queue @ ( host @ X0 ) ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl1035]) ).

thf(zip_derived_cl1941,plain,
    ! [X0: $i,X1: $i] :
      ( ( nbr_proc != nbr_proc )
      | ~ ( elem @ ( m_Down @ X0 ) @ ( queue @ nbr_proc ) )
      | ~ ( leq @ nbr_proc @ ( sk__5 @ sk__6 @ X0 ) )
      | ~ ( setIn @ X1 @ alive )
      | ~ ( elem @ ( m_Down @ sk__8 ) @ ( queue @ ( host @ X1 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl413,zip_derived_cl1036]) ).

thf(zip_derived_cl1944,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( elem @ ( m_Down @ sk__8 ) @ ( queue @ ( host @ X1 ) ) )
      | ~ ( setIn @ X1 @ alive )
      | ~ ( leq @ nbr_proc @ ( sk__5 @ sk__6 @ X0 ) )
      | ~ ( elem @ ( m_Down @ X0 ) @ ( queue @ nbr_proc ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl1941]) ).

thf(zip_derived_cl1981,plain,
    ! [X0: $i] :
      ( ~ ( elem @ ( m_Down @ sk__8 ) @ ( queue @ ( host @ sk__4 ) ) )
      | ~ ( leq @ nbr_proc @ ( sk__5 @ sk__6 @ X0 ) )
      | ~ ( elem @ ( m_Down @ X0 ) @ ( queue @ nbr_proc ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl122,zip_derived_cl1944]) ).

thf(zip_derived_cl2147,plain,
    ! [X0: $i] :
      ( ~ ( elem @ ( m_Down @ sk__8 ) @ sk__3 )
      | ~ ( leq @ nbr_proc @ ( sk__5 @ sk__6 @ X0 ) )
      | ~ ( elem @ ( m_Down @ X0 ) @ ( queue @ nbr_proc ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl560,zip_derived_cl1981]) ).

thf(zip_derived_cl97_018,plain,
    elem @ ( m_Down @ sk__8 ) @ sk__3,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl2148,plain,
    ! [X0: $i] :
      ( ~ ( leq @ nbr_proc @ ( sk__5 @ sk__6 @ X0 ) )
      | ~ ( elem @ ( m_Down @ X0 ) @ ( queue @ nbr_proc ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl2147,zip_derived_cl97]) ).

thf(zip_derived_cl6517,plain,
    ( ( ( sk__5 @ sk__6 @ sk__9 )
      = ( host @ sk__9 ) )
    | ~ ( elem @ ( m_Down @ sk__9 ) @ ( queue @ nbr_proc ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl6489,zip_derived_cl2148]) ).

thf(zip_derived_cl742_019,plain,
    elem @ ( m_Down @ sk__9 ) @ ( queue @ nbr_proc ),
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl741,zip_derived_cl13]) ).

thf(zip_derived_cl6520,plain,
    ( ( sk__5 @ sk__6 @ sk__9 )
    = ( host @ sk__9 ) ),
    inference(demod,[status(thm)],[zip_derived_cl6517,zip_derived_cl742]) ).

thf(zip_derived_cl560_020,plain,
    ! [X0: $i] :
      ( ( elem @ X0 @ ( queue @ ( host @ sk__4 ) ) )
      | ~ ( elem @ X0 @ sk__3 ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl107,zip_derived_cl54]) ).

thf(zip_derived_cl122_021,plain,
    setIn @ sk__4 @ alive,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl413_022,plain,
    ( nbr_proc
    = ( host @ sk__8 ) ),
    inference(demod,[status(thm)],[zip_derived_cl102,zip_derived_cl103]) ).

thf(zip_derived_cl404_023,plain,
    ( ( host @ sk__6 )
    = nbr_proc ),
    inference(demod,[status(thm)],[zip_derived_cl99,zip_derived_cl103]) ).

thf(zip_derived_cl118,plain,
    ! [X24: $i,X25: $i,X26: $i,X27: $i] :
      ( ~ ( elem @ ( m_Down @ X24 ) @ ( queue @ ( host @ X25 ) ) )
      | ~ ( setIn @ X25 @ alive )
      | ( ( sk__5 @ X27 @ X26 )
       != ( host @ X26 ) )
      | ~ ( elem @ ( m_Down @ X26 ) @ ( queue @ ( host @ X27 ) ) )
      | ( ( host @ X27 )
       != ( host @ X24 ) )
      | ( ( host @ X27 )
       != nbr_proc )
      | ( ( index @ status @ ( host @ X27 ) )
       != elec_1 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl975,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( elem @ ( m_Down @ X1 ) @ ( queue @ ( host @ X0 ) ) )
      | ~ ( setIn @ X0 @ alive )
      | ( ( sk__5 @ sk__6 @ X2 )
       != ( host @ X2 ) )
      | ~ ( elem @ ( m_Down @ X2 ) @ ( queue @ nbr_proc ) )
      | ( nbr_proc
       != ( host @ X1 ) )
      | ( nbr_proc != nbr_proc )
      | ( ( index @ status @ nbr_proc )
       != elec_1 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl404,zip_derived_cl118]) ).

thf(zip_derived_cl450_024,plain,
    ( ( index @ status @ nbr_proc )
    = elec_1 ),
    inference(demod,[status(thm)],[zip_derived_cl104,zip_derived_cl103]) ).

thf(zip_derived_cl978,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( elem @ ( m_Down @ X1 ) @ ( queue @ ( host @ X0 ) ) )
      | ~ ( setIn @ X0 @ alive )
      | ( ( sk__5 @ sk__6 @ X2 )
       != ( host @ X2 ) )
      | ~ ( elem @ ( m_Down @ X2 ) @ ( queue @ nbr_proc ) )
      | ( nbr_proc
       != ( host @ X1 ) )
      | ( nbr_proc != nbr_proc )
      | ( elec_1 != elec_1 ) ),
    inference(demod,[status(thm)],[zip_derived_cl975,zip_derived_cl450]) ).

thf(zip_derived_cl979,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( nbr_proc
       != ( host @ X1 ) )
      | ~ ( elem @ ( m_Down @ X2 ) @ ( queue @ nbr_proc ) )
      | ( ( sk__5 @ sk__6 @ X2 )
       != ( host @ X2 ) )
      | ~ ( setIn @ X0 @ alive )
      | ~ ( elem @ ( m_Down @ X1 ) @ ( queue @ ( host @ X0 ) ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl978]) ).

thf(zip_derived_cl1048,plain,
    ! [X0: $i,X1: $i] :
      ( ( nbr_proc != nbr_proc )
      | ~ ( elem @ ( m_Down @ X0 ) @ ( queue @ nbr_proc ) )
      | ( ( sk__5 @ sk__6 @ X0 )
       != ( host @ X0 ) )
      | ~ ( setIn @ X1 @ alive )
      | ~ ( elem @ ( m_Down @ sk__8 ) @ ( queue @ ( host @ X1 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl413,zip_derived_cl979]) ).

thf(zip_derived_cl1051,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( elem @ ( m_Down @ sk__8 ) @ ( queue @ ( host @ X1 ) ) )
      | ~ ( setIn @ X1 @ alive )
      | ( ( sk__5 @ sk__6 @ X0 )
       != ( host @ X0 ) )
      | ~ ( elem @ ( m_Down @ X0 ) @ ( queue @ nbr_proc ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl1048]) ).

thf(zip_derived_cl1079,plain,
    ! [X0: $i] :
      ( ~ ( elem @ ( m_Down @ sk__8 ) @ ( queue @ ( host @ sk__4 ) ) )
      | ( ( sk__5 @ sk__6 @ X0 )
       != ( host @ X0 ) )
      | ~ ( elem @ ( m_Down @ X0 ) @ ( queue @ nbr_proc ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl122,zip_derived_cl1051]) ).

thf(zip_derived_cl1572,plain,
    ! [X0: $i] :
      ( ~ ( elem @ ( m_Down @ sk__8 ) @ sk__3 )
      | ( ( sk__5 @ sk__6 @ X0 )
       != ( host @ X0 ) )
      | ~ ( elem @ ( m_Down @ X0 ) @ ( queue @ nbr_proc ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl560,zip_derived_cl1079]) ).

thf(zip_derived_cl97_025,plain,
    elem @ ( m_Down @ sk__8 ) @ sk__3,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1573,plain,
    ! [X0: $i] :
      ( ( ( sk__5 @ sk__6 @ X0 )
       != ( host @ X0 ) )
      | ~ ( elem @ ( m_Down @ X0 ) @ ( queue @ nbr_proc ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl1572,zip_derived_cl97]) ).

thf(zip_derived_cl6635,plain,
    ( ( ( host @ sk__9 )
     != ( host @ sk__9 ) )
    | ~ ( elem @ ( m_Down @ sk__9 ) @ ( queue @ nbr_proc ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl6520,zip_derived_cl1573]) ).

thf(zip_derived_cl742_026,plain,
    elem @ ( m_Down @ sk__9 ) @ ( queue @ nbr_proc ),
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl741,zip_derived_cl13]) ).

thf(zip_derived_cl6638,plain,
    ( ( host @ sk__9 )
   != ( host @ sk__9 ) ),
    inference(demod,[status(thm)],[zip_derived_cl6635,zip_derived_cl742]) ).

thf(zip_derived_cl6639,plain,
    $false,
    inference(simplify,[status(thm)],[zip_derived_cl6638]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13  % Problem  : SWV471+1 : TPTP v8.1.2. Released v4.0.0.
% 0.08/0.14  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.9zXsJSJ4Ve true
% 0.13/0.35  % Computer : n013.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit : 300
% 0.13/0.35  % WCLimit  : 300
% 0.13/0.35  % DateTime : Tue Aug 29 08:30:47 EDT 2023
% 0.13/0.35  % CPUTime  : 
% 0.13/0.35  % Running portfolio for 300 s
% 0.13/0.35  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.35  % Number of cores: 8
% 0.13/0.36  % Python version: Python 3.6.8
% 0.13/0.36  % Running in FO mode
% 0.22/0.63  % Total configuration time : 435
% 0.22/0.63  % Estimated wc time : 1092
% 0.22/0.63  % Estimated cpu time (7 cpus) : 156.0
% 0.55/0.70  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.55/0.73  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.55/0.73  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.55/0.74  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.58/0.75  % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.58/0.75  % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.58/0.76  % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 16.86/3.06  % Solved by fo/fo6_bce.sh.
% 16.86/3.06  % BCE start: 123
% 16.86/3.06  % BCE eliminated: 0
% 16.86/3.06  % PE start: 123
% 16.86/3.06  logic: eq
% 16.86/3.06  % PE eliminated: 0
% 16.86/3.06  % done 1584 iterations in 2.329s
% 16.86/3.06  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 16.86/3.06  % SZS output start Refutation
% See solution above
% 16.86/3.06  
% 16.86/3.06  
% 16.86/3.06  % Terminating...
% 17.79/3.15  % Runner terminated.
% 17.79/3.16  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------