TSTP Solution File: SWV451+1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SWV451+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.FW4rXdz3Kb true

% Computer : n006.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 00:10:01 EDT 2023

% Result   : Theorem 143.99s 21.14s
% Output   : Refutation 143.99s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   20
%            Number of leaves      :   34
% Syntax   : Number of formulae    :  110 (  45 unt;  29 typ;   0 def)
%            Number of atoms       :  250 ( 136 equ;   0 cnn)
%            Maximal formula atoms :   51 (   3 avg)
%            Number of connectives :  898 ( 110   ~;  72   |;  54   &; 619   @)
%                                         (   2 <=>;  41  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   28 (   5 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   20 (  20   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   31 (  29 usr;  17 con; 0-2 aty)
%            Number of variables   :  103 (   0   ^; 103   !;   0   ?; 103   :)

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

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

thf(sk__4_type,type,
    sk__4: $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(s_type,type,
    s: $i > $i ).

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

thf(sk__10_type,type,
    sk__10: $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,Pid0: $i] :
            ( ( setIn @ Pid0 @ alive )
           => ~ ( elem @ ( m_Down @ Pid0 ) @ ( queue @ ( host @ Z ) ) ) )
        & ! [Z: $i,Pid0: $i] :
            ( ( elem @ ( m_Down @ Pid0 ) @ ( queue @ ( host @ Z ) ) )
           => ~ ( setIn @ Pid0 @ alive ) )
        & ! [Z: $i,Pid0: $i] :
            ( ( elem @ ( m_Down @ Pid0 ) @ ( queue @ ( host @ Z ) ) )
           => ( ( host @ Pid0 )
             != ( host @ Z ) ) )
        & ! [Z: $i,Pid0: $i] :
            ( ( elem @ ( m_Halt @ Pid0 ) @ ( queue @ ( host @ Z ) ) )
           => ~ ( leq @ ( host @ Z ) @ ( host @ Pid0 ) ) )
        & ! [Z: $i,Pid20: $i,Pid0: $i] :
            ( ( elem @ ( m_Ack @ Pid0 @ Z ) @ ( queue @ ( host @ Pid20 ) ) )
           => ~ ( leq @ ( host @ Z ) @ ( host @ Pid0 ) ) )
        & ! [Z: $i,Pid0: $i] :
            ( ( ~ ( setIn @ Z @ alive )
              & ( leq @ Pid0 @ Z )
              & ( ( host @ Pid0 )
                = ( host @ Z ) ) )
           => ~ ( setIn @ Pid0 @ alive ) )
        & ! [Z: $i,Pid0: $i] :
            ( ( ( Pid0 != Z )
              & ( ( host @ Pid0 )
                = ( host @ Z ) ) )
           => ( ~ ( setIn @ Z @ alive )
              | ~ ( setIn @ Pid0 @ alive ) ) )
        & ! [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 ) ) ) ) )
        & ( ( queue @ ( host @ Y ) )
          = ( cons @ ( m_NotNorm @ X ) @ V ) ) )
     => ( ( setIn @ Y @ alive )
       => ( ( ( ( index @ ldr @ ( host @ Y ) )
              = ( host @ Y ) )
            & ( ( index @ status @ ( host @ Y ) )
              = norm )
            & ( ( index @ elid @ ( host @ Y ) )
              = X ) )
         => ( ( ! [Z: $i] :
                  ( ( ( host @ Y )
                    = ( host @ Z ) )
                 => ( leq @ Z @ W ) )
              & ~ ( setIn @ W @ pids )
              & ( ( host @ Y )
                = ( host @ W ) ) )
           => ( ( ( host @ W )
                = ( s @ zero ) )
             => ( ~ ( leq @ nbr_proc @ ( host @ W ) )
               => ! [Z: $i] :
                    ( ( ( s @ ( host @ W ) )
                      = ( host @ Z ) )
                   => ( ( ( host @ Y )
                       != ( host @ Z ) )
                     => ! [X0: $i,Y0: $i] :
                          ( ( ( s @ ( host @ W ) )
                           != ( host @ Y0 ) )
                         => ( ( ( host @ Y )
                              = ( host @ Y0 ) )
                           => ! [Z0: $i] :
                                ( ( ( ( ( Z != Y )
                                      & ( setIn @ Z @ alive ) )
                                    | ( Z = W ) )
                                  & ( ( ( Y0 != Y )
                                      & ( setIn @ Y0 @ alive ) )
                                    | ( Y0 = W ) )
                                  & ( ( host @ Y0 )
                                   != ( host @ Z ) )
                                  & ( ( host @ X0 )
                                    = ( host @ Z ) )
                                  & ( ( host @ Z0 )
                                    = ( host @ Y0 ) ) )
                               => ~ ( ( elem @ ( m_Down @ X0 ) @ V )
                                    & ( elem @ ( m_Down @ Z0 ) @ ( snoc @ ( queue @ ( host @ Z ) ) @ ( m_Halt @ W ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ! [V: $i,W: $i,X: $i,Y: $i] :
        ( ( ! [Z: $i,Pid0: $i] :
              ( ( setIn @ Pid0 @ alive )
             => ~ ( elem @ ( m_Down @ Pid0 ) @ ( queue @ ( host @ Z ) ) ) )
          & ! [Z: $i,Pid0: $i] :
              ( ( elem @ ( m_Down @ Pid0 ) @ ( queue @ ( host @ Z ) ) )
             => ~ ( setIn @ Pid0 @ alive ) )
          & ! [Z: $i,Pid0: $i] :
              ( ( elem @ ( m_Down @ Pid0 ) @ ( queue @ ( host @ Z ) ) )
             => ( ( host @ Pid0 )
               != ( host @ Z ) ) )
          & ! [Z: $i,Pid0: $i] :
              ( ( elem @ ( m_Halt @ Pid0 ) @ ( queue @ ( host @ Z ) ) )
             => ~ ( leq @ ( host @ Z ) @ ( host @ Pid0 ) ) )
          & ! [Z: $i,Pid20: $i,Pid0: $i] :
              ( ( elem @ ( m_Ack @ Pid0 @ Z ) @ ( queue @ ( host @ Pid20 ) ) )
             => ~ ( leq @ ( host @ Z ) @ ( host @ Pid0 ) ) )
          & ! [Z: $i,Pid0: $i] :
              ( ( ~ ( setIn @ Z @ alive )
                & ( leq @ Pid0 @ Z )
                & ( ( host @ Pid0 )
                  = ( host @ Z ) ) )
             => ~ ( setIn @ Pid0 @ alive ) )
          & ! [Z: $i,Pid0: $i] :
              ( ( ( Pid0 != Z )
                & ( ( host @ Pid0 )
                  = ( host @ Z ) ) )
             => ( ~ ( setIn @ Z @ alive )
                | ~ ( setIn @ Pid0 @ alive ) ) )
          & ! [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 ) ) ) ) )
          & ( ( queue @ ( host @ Y ) )
            = ( cons @ ( m_NotNorm @ X ) @ V ) ) )
       => ( ( setIn @ Y @ alive )
         => ( ( ( ( index @ ldr @ ( host @ Y ) )
                = ( host @ Y ) )
              & ( ( index @ status @ ( host @ Y ) )
                = norm )
              & ( ( index @ elid @ ( host @ Y ) )
                = X ) )
           => ( ( ! [Z: $i] :
                    ( ( ( host @ Y )
                      = ( host @ Z ) )
                   => ( leq @ Z @ W ) )
                & ~ ( setIn @ W @ pids )
                & ( ( host @ Y )
                  = ( host @ W ) ) )
             => ( ( ( host @ W )
                  = ( s @ zero ) )
               => ( ~ ( leq @ nbr_proc @ ( host @ W ) )
                 => ! [Z: $i] :
                      ( ( ( s @ ( host @ W ) )
                        = ( host @ Z ) )
                     => ( ( ( host @ Y )
                         != ( host @ Z ) )
                       => ! [X0: $i,Y0: $i] :
                            ( ( ( s @ ( host @ W ) )
                             != ( host @ Y0 ) )
                           => ( ( ( host @ Y )
                                = ( host @ Y0 ) )
                             => ! [Z0: $i] :
                                  ( ( ( ( ( Z != Y )
                                        & ( setIn @ Z @ alive ) )
                                      | ( Z = W ) )
                                    & ( ( ( Y0 != Y )
                                        & ( setIn @ Y0 @ alive ) )
                                      | ( Y0 = W ) )
                                    & ( ( host @ Y0 )
                                     != ( host @ Z ) )
                                    & ( ( host @ X0 )
                                      = ( host @ Z ) )
                                    & ( ( host @ Z0 )
                                      = ( host @ Y0 ) ) )
                                 => ~ ( ( elem @ ( m_Down @ X0 ) @ V )
                                      & ( elem @ ( m_Down @ Z0 ) @ ( snoc @ ( queue @ ( host @ Z ) ) @ ( m_Halt @ W ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
    inference('cnf.neg',[status(esa)],[conj]) ).

thf(zip_derived_cl108,plain,
    ( ( host @ sk__8 )
    = ( host @ sk__7 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl99,plain,
    ( ( s @ ( host @ sk__4 ) )
    = ( host @ sk__7 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl98,plain,
    ( ( host @ sk__6 )
    = ( host @ sk__4 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl100,plain,
    ( ( host @ sk__6 )
    = ( host @ sk__9 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl129,plain,
    ( ( host @ sk__9 )
    = ( host @ sk__4 ) ),
    inference(demod,[status(thm)],[zip_derived_cl98,zip_derived_cl100]) ).

thf(zip_derived_cl108_001,plain,
    ( ( host @ sk__8 )
    = ( host @ sk__7 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl173,plain,
    ( ( s @ ( host @ sk__9 ) )
    = ( host @ sk__8 ) ),
    inference(demod,[status(thm)],[zip_derived_cl99,zip_derived_cl129,zip_derived_cl108]) ).

thf(zip_derived_cl174,plain,
    ( ( s @ ( host @ sk__9 ) )
    = ( host @ sk__7 ) ),
    inference(demod,[status(thm)],[zip_derived_cl108,zip_derived_cl173]) ).

thf(zip_derived_cl102,plain,
    elem @ ( m_Down @ sk__10 ) @ ( snoc @ ( queue @ ( host @ sk__7 ) ) @ ( m_Halt @ sk__4 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl174_002,plain,
    ( ( s @ ( host @ sk__9 ) )
    = ( host @ sk__7 ) ),
    inference(demod,[status(thm)],[zip_derived_cl108,zip_derived_cl173]) ).

thf(zip_derived_cl2035,plain,
    elem @ ( m_Down @ sk__10 ) @ ( snoc @ ( queue @ ( s @ ( host @ sk__9 ) ) ) @ ( m_Halt @ sk__4 ) ),
    inference(demod,[status(thm)],[zip_derived_cl102,zip_derived_cl174]) ).

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_cl2038,plain,
    ( ( ( m_Down @ sk__10 )
      = ( m_Halt @ sk__4 ) )
    | ( elem @ ( m_Down @ sk__10 ) @ ( queue @ ( s @ ( host @ sk__9 ) ) ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl2035,zip_derived_cl55]) ).

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

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

thf(zip_derived_cl2039,plain,
    elem @ ( m_Down @ sk__10 ) @ ( queue @ ( s @ ( host @ sk__9 ) ) ),
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl2038,zip_derived_cl18]) ).

thf(zip_derived_cl104,plain,
    ( ( setIn @ sk__7 @ alive )
    | ( sk__7 = sk__4 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl106,plain,
    ( ( setIn @ sk__9 @ alive )
    | ( sk__9 = sk__4 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl96,plain,
    setIn @ sk__6 @ alive,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl122,plain,
    ! [X14: $i,X15: $i] :
      ( ~ ( setIn @ X14 @ alive )
      | ( X15 = X14 )
      | ( ( host @ X15 )
       != ( host @ X14 ) )
      | ~ ( setIn @ X15 @ alive ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl2302,plain,
    ! [X0: $i] :
      ( ~ ( setIn @ X0 @ alive )
      | ( ( host @ X0 )
       != ( host @ sk__6 ) )
      | ( X0 = sk__6 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl96,zip_derived_cl122]) ).

thf(zip_derived_cl100_003,plain,
    ( ( host @ sk__6 )
    = ( host @ sk__9 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl2307,plain,
    ! [X0: $i] :
      ( ~ ( setIn @ X0 @ alive )
      | ( ( host @ X0 )
       != ( host @ sk__9 ) )
      | ( X0 = sk__6 ) ),
    inference(demod,[status(thm)],[zip_derived_cl2302,zip_derived_cl100]) ).

thf(zip_derived_cl5280,plain,
    ( ( sk__9 = sk__6 )
    | ~ ( setIn @ sk__9 @ alive ) ),
    inference(eq_res,[status(thm)],[zip_derived_cl2307]) ).

thf(zip_derived_cl5285,plain,
    ( ( sk__9 = sk__4 )
    | ( sk__9 = sk__6 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl106,zip_derived_cl5280]) ).

thf(zip_derived_cl105,plain,
    ( ( sk__9 != sk__6 )
    | ( sk__9 = sk__4 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl5286,plain,
    sk__9 = sk__4,
    inference(clc,[status(thm)],[zip_derived_cl5285,zip_derived_cl105]) ).

thf(zip_derived_cl5288,plain,
    ( ( setIn @ sk__7 @ alive )
    | ( sk__7 = sk__9 ) ),
    inference(demod,[status(thm)],[zip_derived_cl104,zip_derived_cl5286]) ).

thf(zip_derived_cl174_004,plain,
    ( ( s @ ( host @ sk__9 ) )
    = ( host @ sk__7 ) ),
    inference(demod,[status(thm)],[zip_derived_cl108,zip_derived_cl173]) ).

thf(zip_derived_cl115,plain,
    ( ( queue @ ( host @ sk__6 ) )
    = ( cons @ ( m_NotNorm @ sk__5 ) @ sk__3 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl100_005,plain,
    ( ( host @ sk__6 )
    = ( host @ sk__9 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl286,plain,
    ( ( queue @ ( host @ sk__9 ) )
    = ( cons @ ( m_NotNorm @ sk__5 ) @ sk__3 ) ),
    inference(demod,[status(thm)],[zip_derived_cl115,zip_derived_cl100]) ).

thf(zip_derived_cl109,plain,
    elem @ ( m_Down @ sk__8 ) @ 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_cl572,plain,
    ! [X0: $i] : ( elem @ ( m_Down @ sk__8 ) @ ( cons @ X0 @ sk__3 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl109,zip_derived_cl54]) ).

thf(zip_derived_cl743,plain,
    elem @ ( m_Down @ sk__8 ) @ ( queue @ ( host @ sk__9 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl286,zip_derived_cl572]) ).

thf(zip_derived_cl123,plain,
    ! [X16: $i,X17: $i,X18: $i,X19: $i] :
      ( ~ ( elem @ ( m_Down @ X16 ) @ ( queue @ ( host @ X17 ) ) )
      | ( ( host @ X16 )
       != ( host @ X18 ) )
      | ~ ( setIn @ X17 @ alive )
      | ~ ( setIn @ X18 @ alive )
      | ( ( host @ X17 )
        = ( host @ X18 ) )
      | ( ( host @ X19 )
       != ( host @ X17 ) )
      | ~ ( elem @ ( m_Down @ X19 ) @ ( queue @ ( host @ X18 ) ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl2473,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( elem @ ( m_Down @ X1 ) @ ( queue @ ( host @ X0 ) ) )
      | ( ( host @ X1 )
       != ( host @ sk__9 ) )
      | ( ( host @ sk__9 )
        = ( host @ X0 ) )
      | ~ ( setIn @ X0 @ alive )
      | ~ ( setIn @ sk__9 @ alive )
      | ( ( host @ sk__8 )
       != ( host @ X0 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl743,zip_derived_cl123]) ).

thf(zip_derived_cl173_006,plain,
    ( ( s @ ( host @ sk__9 ) )
    = ( host @ sk__8 ) ),
    inference(demod,[status(thm)],[zip_derived_cl99,zip_derived_cl129,zip_derived_cl108]) ).

thf(zip_derived_cl2484,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( elem @ ( m_Down @ X1 ) @ ( queue @ ( host @ X0 ) ) )
      | ( ( host @ X1 )
       != ( host @ sk__9 ) )
      | ( ( host @ sk__9 )
        = ( host @ X0 ) )
      | ~ ( setIn @ X0 @ alive )
      | ~ ( setIn @ sk__9 @ alive )
      | ( ( s @ ( host @ sk__9 ) )
       != ( host @ X0 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl2473,zip_derived_cl173]) ).

thf(zip_derived_cl96_007,plain,
    setIn @ sk__6 @ alive,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl121,plain,
    ! [X12: $i,X13: $i] :
      ( ( setIn @ X12 @ alive )
      | ~ ( leq @ X13 @ X12 )
      | ( ( host @ X13 )
       != ( host @ X12 ) )
      | ~ ( setIn @ X13 @ alive ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl2260,plain,
    ! [X0: $i] :
      ( ( ( host @ sk__6 )
       != ( host @ X0 ) )
      | ~ ( leq @ sk__6 @ X0 )
      | ( setIn @ X0 @ alive ) ),
    inference('sup-',[status(thm)],[zip_derived_cl96,zip_derived_cl121]) ).

thf(zip_derived_cl100_008,plain,
    ( ( host @ sk__6 )
    = ( host @ sk__9 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl2265,plain,
    ! [X0: $i] :
      ( ( ( host @ sk__9 )
       != ( host @ X0 ) )
      | ~ ( leq @ sk__6 @ X0 )
      | ( setIn @ X0 @ alive ) ),
    inference(demod,[status(thm)],[zip_derived_cl2260,zip_derived_cl100]) ).

thf(zip_derived_cl10515,plain,
    ( ( setIn @ sk__9 @ alive )
    | ~ ( leq @ sk__6 @ sk__9 ) ),
    inference(eq_res,[status(thm)],[zip_derived_cl2265]) ).

thf(zip_derived_cl100_009,plain,
    ( ( host @ sk__6 )
    = ( host @ sk__9 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl97,plain,
    ! [X0: $i] :
      ( ( leq @ X0 @ sk__4 )
      | ( ( host @ sk__6 )
       != ( host @ X0 ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl100_010,plain,
    ( ( host @ sk__6 )
    = ( host @ sk__9 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl225,plain,
    ! [X0: $i] :
      ( ( leq @ X0 @ sk__4 )
      | ( ( host @ sk__9 )
       != ( host @ X0 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl97,zip_derived_cl100]) ).

thf(zip_derived_cl227,plain,
    ( ( ( host @ sk__9 )
     != ( host @ sk__9 ) )
    | ( leq @ sk__6 @ sk__4 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl100,zip_derived_cl225]) ).

thf(zip_derived_cl233,plain,
    leq @ sk__6 @ sk__4,
    inference(simplify,[status(thm)],[zip_derived_cl227]) ).

thf(zip_derived_cl5286_011,plain,
    sk__9 = sk__4,
    inference(clc,[status(thm)],[zip_derived_cl5285,zip_derived_cl105]) ).

thf(zip_derived_cl5293,plain,
    leq @ sk__6 @ sk__9,
    inference(demod,[status(thm)],[zip_derived_cl233,zip_derived_cl5286]) ).

thf(zip_derived_cl10516,plain,
    setIn @ sk__9 @ alive,
    inference(demod,[status(thm)],[zip_derived_cl10515,zip_derived_cl5293]) ).

thf(zip_derived_cl135250,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( elem @ ( m_Down @ X1 ) @ ( queue @ ( host @ X0 ) ) )
      | ( ( host @ X1 )
       != ( host @ sk__9 ) )
      | ( ( host @ sk__9 )
        = ( host @ X0 ) )
      | ~ ( setIn @ X0 @ alive )
      | ( ( s @ ( host @ sk__9 ) )
       != ( host @ X0 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl2484,zip_derived_cl10516]) ).

thf(axiom_01,axiom,
    ! [P: $i,Q: $i] :
      ( ( ( s @ ( host @ P ) )
        = ( host @ Q ) )
     => ( ( host @ P )
       != ( host @ Q ) ) ) ).

thf(zip_derived_cl2,plain,
    ! [X0: $i,X1: $i] :
      ( ( ( host @ X1 )
       != ( host @ X0 ) )
      | ( ( s @ ( host @ X1 ) )
       != ( host @ X0 ) ) ),
    inference(cnf,[status(esa)],[axiom_01]) ).

thf(zip_derived_cl135251,plain,
    ! [X0: $i,X1: $i] :
      ( ( ( s @ ( host @ sk__9 ) )
       != ( host @ X0 ) )
      | ~ ( setIn @ X0 @ alive )
      | ( ( host @ X1 )
       != ( host @ sk__9 ) )
      | ~ ( elem @ ( m_Down @ X1 ) @ ( queue @ ( host @ X0 ) ) ) ),
    inference(clc,[status(thm)],[zip_derived_cl135250,zip_derived_cl2]) ).

thf(zip_derived_cl135255,plain,
    ! [X0: $i] :
      ( ~ ( elem @ ( m_Down @ X0 ) @ ( queue @ ( s @ ( host @ sk__9 ) ) ) )
      | ( ( host @ X0 )
       != ( host @ sk__9 ) )
      | ~ ( setIn @ sk__7 @ alive )
      | ( ( s @ ( host @ sk__9 ) )
       != ( host @ sk__7 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl174,zip_derived_cl135251]) ).

thf(zip_derived_cl174_012,plain,
    ( ( s @ ( host @ sk__9 ) )
    = ( host @ sk__7 ) ),
    inference(demod,[status(thm)],[zip_derived_cl108,zip_derived_cl173]) ).

thf(zip_derived_cl135262,plain,
    ! [X0: $i] :
      ( ~ ( elem @ ( m_Down @ X0 ) @ ( queue @ ( s @ ( host @ sk__9 ) ) ) )
      | ( ( host @ X0 )
       != ( host @ sk__9 ) )
      | ~ ( setIn @ sk__7 @ alive )
      | ( ( s @ ( host @ sk__9 ) )
       != ( s @ ( host @ sk__9 ) ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl135255,zip_derived_cl174]) ).

thf(zip_derived_cl135263,plain,
    ! [X0: $i] :
      ( ~ ( setIn @ sk__7 @ alive )
      | ( ( host @ X0 )
       != ( host @ sk__9 ) )
      | ~ ( elem @ ( m_Down @ X0 ) @ ( queue @ ( s @ ( host @ sk__9 ) ) ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl135262]) ).

thf(zip_derived_cl135698,plain,
    ! [X0: $i] :
      ( ( sk__7 = sk__9 )
      | ~ ( elem @ ( m_Down @ X0 ) @ ( queue @ ( s @ ( host @ sk__9 ) ) ) )
      | ( ( host @ X0 )
       != ( host @ sk__9 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl5288,zip_derived_cl135263]) ).

thf(zip_derived_cl137106,plain,
    ( ( ( host @ sk__10 )
     != ( host @ sk__9 ) )
    | ( sk__7 = sk__9 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl2039,zip_derived_cl135698]) ).

thf(zip_derived_cl101,plain,
    ( ( host @ sk__10 )
    = ( host @ sk__9 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl137109,plain,
    ( ( ( host @ sk__9 )
     != ( host @ sk__9 ) )
    | ( sk__7 = sk__9 ) ),
    inference(demod,[status(thm)],[zip_derived_cl137106,zip_derived_cl101]) ).

thf(zip_derived_cl137110,plain,
    sk__7 = sk__9,
    inference(simplify,[status(thm)],[zip_derived_cl137109]) ).

thf(zip_derived_cl137111,plain,
    ( ( s @ ( host @ sk__9 ) )
    = ( host @ sk__9 ) ),
    inference(demod,[status(thm)],[zip_derived_cl174,zip_derived_cl137110]) ).

thf(zip_derived_cl110,plain,
    ( ( s @ ( host @ sk__4 ) )
   != ( host @ sk__9 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl124,plain,
    ( ( host @ sk__4 )
    = ( s @ zero ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl135,plain,
    ( ( s @ ( s @ zero ) )
   != ( host @ sk__9 ) ),
    inference(demod,[status(thm)],[zip_derived_cl110,zip_derived_cl124]) ).

thf(zip_derived_cl124_013,plain,
    ( ( host @ sk__4 )
    = ( s @ zero ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl129_014,plain,
    ( ( host @ sk__9 )
    = ( host @ sk__4 ) ),
    inference(demod,[status(thm)],[zip_derived_cl98,zip_derived_cl100]) ).

thf(zip_derived_cl144,plain,
    ( ( host @ sk__9 )
    = ( s @ zero ) ),
    inference(demod,[status(thm)],[zip_derived_cl124,zip_derived_cl129]) ).

thf(zip_derived_cl149,plain,
    ( ( s @ ( host @ sk__9 ) )
   != ( host @ sk__9 ) ),
    inference(demod,[status(thm)],[zip_derived_cl135,zip_derived_cl144]) ).

thf(zip_derived_cl137112,plain,
    $false,
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl137111,zip_derived_cl149]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SWV451+1 : TPTP v8.1.2. Released v4.0.0.
% 0.07/0.13  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.FW4rXdz3Kb true
% 0.14/0.34  % Computer : n006.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 08:16:51 EDT 2023
% 0.14/0.34  % CPUTime  : 
% 0.14/0.34  % Running portfolio for 300 s
% 0.14/0.34  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.34  % Number of cores: 8
% 0.14/0.35  % Python version: Python 3.6.8
% 0.14/0.35  % Running in FO mode
% 0.51/0.64  % Total configuration time : 435
% 0.51/0.64  % Estimated wc time : 1092
% 0.51/0.64  % Estimated cpu time (7 cpus) : 156.0
% 0.51/0.69  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.54/0.70  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.54/0.71  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.54/0.72  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.54/0.73  % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.54/0.73  % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.54/0.74  % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 143.99/21.14  % Solved by fo/fo5.sh.
% 143.99/21.14  % done 9129 iterations in 20.385s
% 143.99/21.14  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 143.99/21.14  % SZS output start Refutation
% See solution above
% 143.99/21.15  
% 143.99/21.15  
% 143.99/21.15  % Terminating...
% 144.20/21.20  % Runner terminated.
% 144.20/21.21  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------