TSTP Solution File: SWV473+1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SWV473+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.o9osTWclZR true

% Computer : n019.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 9.09s 1.94s
% Output   : Refutation 9.09s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   18
%            Number of leaves      :   37
% Syntax   : Number of formulae    :  102 (  38 unt;  32 typ;   0 def)
%            Number of atoms       :  284 ( 143 equ;   0 cnn)
%            Maximal formula atoms :   67 (   4 avg)
%            Number of connectives : 1128 ( 126   ~;  87   |;  89   &; 788   @)
%                                         (   2 <=>;  36  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   30 (   6 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   18 (  18   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   34 (  32 usr;  21 con; 0-2 aty)
%            Number of variables   :  129 (   0   ^; 129   !;   0   ?; 129   :)

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

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

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

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

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

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

thf(sk__11_type,type,
    sk__11: $i ).

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

thf(zip_derived_cl97,plain,
    ( ( queue @ ( host @ sk__5 ) )
    = ( cons @ ( m_Ack @ sk__4 @ sk__11 ) @ sk__3 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl116,plain,
    ( ( host @ sk__5 )
    = ( host @ sk__9 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl114,plain,
    ( ( host @ sk__9 )
    = nbr_proc ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl412,plain,
    ( ( host @ sk__5 )
    = nbr_proc ),
    inference(demod,[status(thm)],[zip_derived_cl116,zip_derived_cl114]) ).

thf(zip_derived_cl439,plain,
    ( ( queue @ nbr_proc )
    = ( cons @ ( m_Ack @ sk__4 @ sk__11 ) @ sk__3 ) ),
    inference(demod,[status(thm)],[zip_derived_cl97,zip_derived_cl412]) ).

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_cl538,plain,
    ! [X0: $i] :
      ( ( elem @ X0 @ ( queue @ nbr_proc ) )
      | ~ ( elem @ X0 @ sk__3 ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl439,zip_derived_cl54]) ).

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(zip_derived_cl112,plain,
    ! [X27: $i] :
      ( ( X27
        = ( host @ sk__8 ) )
      | ( setIn @ X27 @ ( index @ down @ ( host @ sk__9 ) ) )
      | ~ ( leq @ ( s @ zero ) @ X27 )
      | ( leq @ ( host @ sk__9 ) @ X27 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl114_001,plain,
    ( ( host @ sk__9 )
    = nbr_proc ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl114_002,plain,
    ( ( host @ sk__9 )
    = nbr_proc ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1011,plain,
    ! [X27: $i] :
      ( ( X27
        = ( host @ sk__8 ) )
      | ( setIn @ X27 @ ( index @ down @ nbr_proc ) )
      | ~ ( leq @ ( s @ zero ) @ X27 )
      | ( leq @ nbr_proc @ X27 ) ),
    inference(demod,[status(thm)],[zip_derived_cl112,zip_derived_cl114,zip_derived_cl114]) ).

thf(zip_derived_cl1016,plain,
    ! [X0: $i] :
      ( ( ( host @ X0 )
        = ( host @ sk__8 ) )
      | ( setIn @ ( host @ X0 ) @ ( index @ down @ nbr_proc ) )
      | ( leq @ nbr_proc @ ( host @ X0 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl3,zip_derived_cl1011]) ).

thf(zip_derived_cl118,plain,
    setIn @ sk__6 @ alive,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl113,plain,
    ( ( host @ sk__9 )
    = ( host @ sk__7 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl114_003,plain,
    ( ( host @ sk__9 )
    = nbr_proc ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl403,plain,
    ( nbr_proc
    = ( host @ sk__7 ) ),
    inference(demod,[status(thm)],[zip_derived_cl113,zip_derived_cl114]) ).

thf(zip_derived_cl121,plain,
    setIn @ sk__5 @ alive,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl107,plain,
    ! [X19: $i,X20: $i,X21: $i,X22: $i] :
      ( ~ ( setIn @ ( host @ X19 ) @ ( index @ down @ ( host @ X20 ) ) )
      | ( ( host @ X19 )
       != ( host @ X21 ) )
      | ~ ( setIn @ X20 @ alive )
      | ~ ( setIn @ X21 @ alive )
      | ( ( host @ X20 )
        = ( host @ X21 ) )
      | ( ( host @ X22 )
       != ( host @ X20 ) )
      | ~ ( elem @ ( m_Down @ X22 ) @ ( queue @ ( host @ X21 ) ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl908,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( setIn @ ( host @ X0 ) @ ( index @ down @ ( host @ sk__5 ) ) )
      | ( ( host @ X0 )
       != ( host @ X1 ) )
      | ~ ( setIn @ X1 @ alive )
      | ( ( host @ sk__5 )
        = ( host @ X1 ) )
      | ( ( host @ X2 )
       != ( host @ sk__5 ) )
      | ~ ( elem @ ( m_Down @ X2 ) @ ( queue @ ( host @ X1 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl121,zip_derived_cl107]) ).

thf(zip_derived_cl412_004,plain,
    ( ( host @ sk__5 )
    = nbr_proc ),
    inference(demod,[status(thm)],[zip_derived_cl116,zip_derived_cl114]) ).

thf(zip_derived_cl412_005,plain,
    ( ( host @ sk__5 )
    = nbr_proc ),
    inference(demod,[status(thm)],[zip_derived_cl116,zip_derived_cl114]) ).

thf(zip_derived_cl412_006,plain,
    ( ( host @ sk__5 )
    = nbr_proc ),
    inference(demod,[status(thm)],[zip_derived_cl116,zip_derived_cl114]) ).

thf(zip_derived_cl910,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( setIn @ ( host @ X0 ) @ ( index @ down @ nbr_proc ) )
      | ( ( host @ X0 )
       != ( host @ X1 ) )
      | ~ ( setIn @ X1 @ alive )
      | ( nbr_proc
        = ( host @ X1 ) )
      | ( ( host @ X2 )
       != nbr_proc )
      | ~ ( elem @ ( m_Down @ X2 ) @ ( queue @ ( host @ X1 ) ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl908,zip_derived_cl412,zip_derived_cl412,zip_derived_cl412]) ).

thf(zip_derived_cl1909,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( setIn @ ( host @ X0 ) @ ( index @ down @ nbr_proc ) )
      | ( ( host @ X0 )
       != ( host @ X1 ) )
      | ~ ( setIn @ X1 @ alive )
      | ( nbr_proc
        = ( host @ X1 ) )
      | ( nbr_proc != nbr_proc )
      | ~ ( elem @ ( m_Down @ sk__7 ) @ ( queue @ ( host @ X1 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl403,zip_derived_cl910]) ).

thf(zip_derived_cl1912,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( elem @ ( m_Down @ sk__7 ) @ ( queue @ ( host @ X1 ) ) )
      | ( nbr_proc
        = ( host @ X1 ) )
      | ~ ( setIn @ X1 @ alive )
      | ( ( host @ X0 )
       != ( host @ X1 ) )
      | ~ ( setIn @ ( host @ X0 ) @ ( index @ down @ nbr_proc ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl1909]) ).

thf(zip_derived_cl403_007,plain,
    ( nbr_proc
    = ( host @ sk__7 ) ),
    inference(demod,[status(thm)],[zip_derived_cl113,zip_derived_cl114]) ).

thf(zip_derived_cl99,plain,
    ! [X2: $i,X3: $i] :
      ( ( ( host @ X3 )
       != ( host @ X2 ) )
      | ~ ( elem @ ( m_Down @ X3 ) @ ( queue @ ( host @ X2 ) ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl455,plain,
    ! [X0: $i] :
      ( ( nbr_proc
       != ( host @ X0 ) )
      | ~ ( elem @ ( m_Down @ sk__7 ) @ ( queue @ ( host @ X0 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl403,zip_derived_cl99]) ).

thf(zip_derived_cl3472,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( setIn @ ( host @ X0 ) @ ( index @ down @ nbr_proc ) )
      | ( ( host @ X0 )
       != ( host @ X1 ) )
      | ~ ( setIn @ X1 @ alive )
      | ~ ( elem @ ( m_Down @ sk__7 ) @ ( queue @ ( host @ X1 ) ) ) ),
    inference(clc,[status(thm)],[zip_derived_cl1912,zip_derived_cl455]) ).

thf(zip_derived_cl3474,plain,
    ! [X0: $i] :
      ( ~ ( setIn @ ( host @ X0 ) @ ( index @ down @ nbr_proc ) )
      | ( ( host @ X0 )
       != ( host @ sk__6 ) )
      | ~ ( elem @ ( m_Down @ sk__7 ) @ ( queue @ ( host @ sk__6 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl118,zip_derived_cl3472]) ).

thf(zip_derived_cl117,plain,
    elem @ ( m_Down @ sk__7 ) @ ( queue @ ( host @ sk__6 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl3476,plain,
    ! [X0: $i] :
      ( ~ ( setIn @ ( host @ X0 ) @ ( index @ down @ nbr_proc ) )
      | ( ( host @ X0 )
       != ( host @ sk__6 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl3474,zip_derived_cl117]) ).

thf(zip_derived_cl3556,plain,
    ~ ( setIn @ ( host @ sk__6 ) @ ( index @ down @ nbr_proc ) ),
    inference(eq_res,[status(thm)],[zip_derived_cl3476]) ).

thf(zip_derived_cl3567,plain,
    ( ( leq @ nbr_proc @ ( host @ sk__6 ) )
    | ( ( host @ sk__6 )
      = ( host @ sk__8 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl1016,zip_derived_cl3556]) ).

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_cl3587,plain,
    ( ( ( host @ sk__6 )
      = ( host @ sk__8 ) )
    | ( ( host @ sk__6 )
      = nbr_proc )
    | ~ ( leq @ ( host @ sk__6 ) @ nbr_proc ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl3567,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_cl3605,plain,
    ( ( ( host @ sk__6 )
      = ( host @ sk__8 ) )
    | ( ( host @ sk__6 )
      = nbr_proc ) ),
    inference(demod,[status(thm)],[zip_derived_cl3587,zip_derived_cl5]) ).

thf(zip_derived_cl120,plain,
    ( ( host @ sk__5 )
   != ( host @ sk__6 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl412_008,plain,
    ( ( host @ sk__5 )
    = nbr_proc ),
    inference(demod,[status(thm)],[zip_derived_cl116,zip_derived_cl114]) ).

thf(zip_derived_cl426,plain,
    ( nbr_proc
   != ( host @ sk__6 ) ),
    inference(demod,[status(thm)],[zip_derived_cl120,zip_derived_cl412]) ).

thf(zip_derived_cl3606,plain,
    ( ( host @ sk__6 )
    = ( host @ sk__8 ) ),
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl3605,zip_derived_cl426]) ).

thf(zip_derived_cl403_009,plain,
    ( nbr_proc
    = ( host @ sk__7 ) ),
    inference(demod,[status(thm)],[zip_derived_cl113,zip_derived_cl114]) ).

thf(zip_derived_cl121_010,plain,
    setIn @ sk__5 @ alive,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl118_011,plain,
    setIn @ sk__6 @ alive,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl106,plain,
    ! [X15: $i,X16: $i,X17: $i,X18: $i] :
      ( ~ ( elem @ ( m_Down @ X15 ) @ ( queue @ ( host @ X16 ) ) )
      | ( ( host @ X15 )
       != ( host @ X17 ) )
      | ~ ( setIn @ X16 @ alive )
      | ~ ( setIn @ X17 @ alive )
      | ( ( host @ X16 )
        = ( host @ X17 ) )
      | ( ( host @ X18 )
       != ( host @ X16 ) )
      | ~ ( elem @ ( m_Down @ X18 ) @ ( queue @ ( host @ X17 ) ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl897,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( elem @ ( m_Down @ X0 ) @ ( queue @ ( host @ sk__6 ) ) )
      | ( ( host @ X0 )
       != ( host @ X1 ) )
      | ~ ( setIn @ X1 @ alive )
      | ( ( host @ sk__6 )
        = ( host @ X1 ) )
      | ( ( host @ X2 )
       != ( host @ sk__6 ) )
      | ~ ( elem @ ( m_Down @ X2 ) @ ( queue @ ( host @ X1 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl118,zip_derived_cl106]) ).

thf(zip_derived_cl911,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( elem @ ( m_Down @ X0 ) @ ( queue @ ( host @ sk__6 ) ) )
      | ( ( host @ X0 )
       != ( host @ sk__5 ) )
      | ( ( host @ sk__6 )
        = ( host @ sk__5 ) )
      | ( ( host @ X1 )
       != ( host @ sk__6 ) )
      | ~ ( elem @ ( m_Down @ X1 ) @ ( queue @ ( host @ sk__5 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl121,zip_derived_cl897]) ).

thf(zip_derived_cl412_012,plain,
    ( ( host @ sk__5 )
    = nbr_proc ),
    inference(demod,[status(thm)],[zip_derived_cl116,zip_derived_cl114]) ).

thf(zip_derived_cl412_013,plain,
    ( ( host @ sk__5 )
    = nbr_proc ),
    inference(demod,[status(thm)],[zip_derived_cl116,zip_derived_cl114]) ).

thf(zip_derived_cl412_014,plain,
    ( ( host @ sk__5 )
    = nbr_proc ),
    inference(demod,[status(thm)],[zip_derived_cl116,zip_derived_cl114]) ).

thf(zip_derived_cl913,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( elem @ ( m_Down @ X0 ) @ ( queue @ ( host @ sk__6 ) ) )
      | ( ( host @ X0 )
       != nbr_proc )
      | ( ( host @ sk__6 )
        = nbr_proc )
      | ( ( host @ X1 )
       != ( host @ sk__6 ) )
      | ~ ( elem @ ( m_Down @ X1 ) @ ( queue @ nbr_proc ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl911,zip_derived_cl412,zip_derived_cl412,zip_derived_cl412]) ).

thf(zip_derived_cl426_015,plain,
    ( nbr_proc
   != ( host @ sk__6 ) ),
    inference(demod,[status(thm)],[zip_derived_cl120,zip_derived_cl412]) ).

thf(zip_derived_cl914,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( elem @ ( m_Down @ X0 ) @ ( queue @ ( host @ sk__6 ) ) )
      | ( ( host @ X0 )
       != nbr_proc )
      | ( ( host @ X1 )
       != ( host @ sk__6 ) )
      | ~ ( elem @ ( m_Down @ X1 ) @ ( queue @ nbr_proc ) ) ),
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl913,zip_derived_cl426]) ).

thf(zip_derived_cl954,plain,
    ! [X0: $i] :
      ( ~ ( elem @ ( m_Down @ sk__7 ) @ ( queue @ ( host @ sk__6 ) ) )
      | ( nbr_proc != nbr_proc )
      | ( ( host @ X0 )
       != ( host @ sk__6 ) )
      | ~ ( elem @ ( m_Down @ X0 ) @ ( queue @ nbr_proc ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl403,zip_derived_cl914]) ).

thf(zip_derived_cl117_016,plain,
    elem @ ( m_Down @ sk__7 ) @ ( queue @ ( host @ sk__6 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl957,plain,
    ! [X0: $i] :
      ( ( nbr_proc != nbr_proc )
      | ( ( host @ X0 )
       != ( host @ sk__6 ) )
      | ~ ( elem @ ( m_Down @ X0 ) @ ( queue @ nbr_proc ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl954,zip_derived_cl117]) ).

thf(zip_derived_cl958,plain,
    ! [X0: $i] :
      ( ~ ( elem @ ( m_Down @ X0 ) @ ( queue @ nbr_proc ) )
      | ( ( host @ X0 )
       != ( host @ sk__6 ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl957]) ).

thf(zip_derived_cl3701,plain,
    ( ~ ( elem @ ( m_Down @ sk__8 ) @ ( queue @ nbr_proc ) )
    | ( ( host @ sk__6 )
     != ( host @ sk__6 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl3606,zip_derived_cl958]) ).

thf(zip_derived_cl3776,plain,
    ~ ( elem @ ( m_Down @ sk__8 ) @ ( queue @ nbr_proc ) ),
    inference(simplify,[status(thm)],[zip_derived_cl3701]) ).

thf(zip_derived_cl3884,plain,
    ~ ( elem @ ( m_Down @ sk__8 ) @ sk__3 ),
    inference('s_sup-',[status(thm)],[zip_derived_cl538,zip_derived_cl3776]) ).

thf(zip_derived_cl119,plain,
    elem @ ( m_Down @ sk__8 ) @ sk__3,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl3885,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl3884,zip_derived_cl119]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : SWV473+1 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.14  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.o9osTWclZR true
% 0.14/0.35  % Computer : n019.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit : 300
% 0.14/0.35  % WCLimit  : 300
% 0.14/0.35  % DateTime : Tue Aug 29 04:28:28 EDT 2023
% 0.14/0.35  % CPUTime  : 
% 0.14/0.35  % Running portfolio for 300 s
% 0.14/0.35  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.35  % Number of cores: 8
% 0.14/0.35  % Python version: Python 3.6.8
% 0.14/0.36  % Running in FO mode
% 0.20/0.65  % Total configuration time : 435
% 0.20/0.65  % Estimated wc time : 1092
% 0.20/0.65  % Estimated cpu time (7 cpus) : 156.0
% 0.20/0.72  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.20/0.78  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.20/0.78  % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.20/0.78  % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.20/0.78  % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.20/0.78  % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.20/0.78  % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 9.09/1.94  % Solved by fo/fo6_bce.sh.
% 9.09/1.94  % BCE start: 122
% 9.09/1.94  % BCE eliminated: 0
% 9.09/1.94  % PE start: 122
% 9.09/1.94  logic: eq
% 9.09/1.94  % PE eliminated: 0
% 9.09/1.94  % done 978 iterations in 1.187s
% 9.09/1.94  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 9.09/1.94  % SZS output start Refutation
% See solution above
% 9.09/1.94  
% 9.09/1.94  
% 9.09/1.94  % Terminating...
% 9.10/1.99  % Runner terminated.
% 9.10/2.00  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------