TSTP Solution File: SWV473+1 by iProver---3.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.8
% Problem  : SWV473+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n028.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 : Thu Aug 31 22:37:40 EDT 2023

% Result   : Theorem 4.08s 1.19s
% Output   : CNFRefutation 4.08s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   29
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   80 (  24 unt;   0 def)
%            Number of atoms       :  907 ( 431 equ)
%            Maximal formula atoms :  134 (  11 avg)
%            Number of connectives : 1379 ( 552   ~; 445   |; 322   &)
%                                         (   2 <=>;  58  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   28 (   7 avg)
%            Maximal term depth    :    4 (   2 avg)
%            Number of predicates  :    5 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :   30 (  30 usr;  20 con; 0-2 aty)
%            Number of variables   :  451 (   1 sgn; 317   !;  52   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f47,axiom,
    ! [X4,X5,X3] :
      ( elem(X4,cons(X5,X3))
    <=> ( elem(X4,X3)
        | X4 = X5 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_46) ).

fof(f67,conjecture,
    ! [X11,X12,X4,X5] :
      ( ( queue(host(X4)) = cons(m_Ack(X12,X5),X11)
        & ! [X6,X15,X14,X13] :
            ( ( elec_1 = index(status,host(X13))
              & host(X13) = host(X15)
              & nbr_proc = host(X13)
              & elem(m_Down(X14),queue(host(X13)))
              & ! [X16] :
                  ( ( leq(s(zero),X16)
                    & ~ leq(host(X13),X16) )
                 => ( host(X14) = X16
                    | setIn(X16,index(down,host(X13))) ) ) )
           => ~ ( elem(m_Down(X15),queue(host(X6)))
                & setIn(X6,alive) ) )
        & ! [X6,X15,X14,X13] :
            ( ( host(X13) = host(X14)
              & host(X6) = host(X15)
              & setIn(X14,alive)
              & setIn(X6,alive)
              & host(X6) != host(X14) )
           => ~ ( setIn(host(X15),index(down,host(X14)))
                & elem(m_Down(X13),queue(host(X6))) ) )
        & ! [X6,X15,X14,X13] :
            ( ( host(X13) = host(X14)
              & host(X6) = host(X15)
              & setIn(X14,alive)
              & setIn(X6,alive)
              & host(X6) != host(X14) )
           => ~ ( elem(m_Down(X15),queue(host(X14)))
                & elem(m_Down(X13),queue(host(X6))) ) )
        & ! [X6,X14,X13] :
            ( ( host(X14) = host(index(elid,host(X13)))
              & wait = index(status,host(X13))
              & host(X6) = host(X13)
              & setIn(X13,alive)
              & host(X13) != host(X14) )
           => ~ elem(m_Down(X6),queue(host(X14))) )
        & ! [X6,X14,X13] :
            ( ( host(X14) = index(ldr,host(X13))
              & norm = index(status,host(X13))
              & host(X6) = host(X13)
              & setIn(X13,alive)
              & host(X13) != host(X14) )
           => ~ elem(m_Down(X6),queue(host(X14))) )
        & ! [X6] :
            ( ( setIn(X6,alive)
              & ( elec_2 = index(status,host(X6))
                | elec_1 = index(status,host(X6)) ) )
           => index(elid,host(X6)) = X6 )
        & ! [X6,X13] :
            ( ( host(X6) = host(X13)
              & X6 != X13 )
           => ( ~ setIn(X13,alive)
              | ~ setIn(X6,alive) ) )
        & ! [X6,X13] :
            ( nbr_proc = host(X13)
           => ~ elem(m_NotNorm(X6),queue(host(X13))) )
        & ! [X6,X13] :
            ( elem(m_Down(X13),queue(host(X6)))
           => host(X6) != host(X13) )
        & ! [X6,X13] :
            ( elem(m_Ldr(X13),queue(host(X6)))
           => ~ leq(host(X6),host(X13)) ) )
     => ( setIn(X4,alive)
       => ( ~ ( host(X5) = index(pendack,host(X4))
              & elec_2 = index(status,host(X4))
              & index(elid,host(X4)) = X12 )
         => ! [X6] :
              ( host(X4) != host(X6)
             => ! [X17,X18,X19] :
                  ( host(X4) = host(X19)
                 => ( ( elec_1 = index(status,host(X19))
                      & nbr_proc = host(X19)
                      & host(X19) = host(X17)
                      & elem(m_Down(X18),X11)
                      & ! [X16] :
                          ( ( leq(s(zero),X16)
                            & ~ leq(host(X19),X16) )
                         => ( host(X18) = X16
                            | setIn(X16,index(down,host(X19))) ) ) )
                   => ~ ( elem(m_Down(X17),queue(host(X6)))
                        & setIn(X6,alive) ) ) ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj) ).

fof(f68,negated_conjecture,
    ~ ! [X11,X12,X4,X5] :
        ( ( queue(host(X4)) = cons(m_Ack(X12,X5),X11)
          & ! [X6,X15,X14,X13] :
              ( ( elec_1 = index(status,host(X13))
                & host(X13) = host(X15)
                & nbr_proc = host(X13)
                & elem(m_Down(X14),queue(host(X13)))
                & ! [X16] :
                    ( ( leq(s(zero),X16)
                      & ~ leq(host(X13),X16) )
                   => ( host(X14) = X16
                      | setIn(X16,index(down,host(X13))) ) ) )
             => ~ ( elem(m_Down(X15),queue(host(X6)))
                  & setIn(X6,alive) ) )
          & ! [X6,X15,X14,X13] :
              ( ( host(X13) = host(X14)
                & host(X6) = host(X15)
                & setIn(X14,alive)
                & setIn(X6,alive)
                & host(X6) != host(X14) )
             => ~ ( setIn(host(X15),index(down,host(X14)))
                  & elem(m_Down(X13),queue(host(X6))) ) )
          & ! [X6,X15,X14,X13] :
              ( ( host(X13) = host(X14)
                & host(X6) = host(X15)
                & setIn(X14,alive)
                & setIn(X6,alive)
                & host(X6) != host(X14) )
             => ~ ( elem(m_Down(X15),queue(host(X14)))
                  & elem(m_Down(X13),queue(host(X6))) ) )
          & ! [X6,X14,X13] :
              ( ( host(X14) = host(index(elid,host(X13)))
                & wait = index(status,host(X13))
                & host(X6) = host(X13)
                & setIn(X13,alive)
                & host(X13) != host(X14) )
             => ~ elem(m_Down(X6),queue(host(X14))) )
          & ! [X6,X14,X13] :
              ( ( host(X14) = index(ldr,host(X13))
                & norm = index(status,host(X13))
                & host(X6) = host(X13)
                & setIn(X13,alive)
                & host(X13) != host(X14) )
             => ~ elem(m_Down(X6),queue(host(X14))) )
          & ! [X6] :
              ( ( setIn(X6,alive)
                & ( elec_2 = index(status,host(X6))
                  | elec_1 = index(status,host(X6)) ) )
             => index(elid,host(X6)) = X6 )
          & ! [X6,X13] :
              ( ( host(X6) = host(X13)
                & X6 != X13 )
             => ( ~ setIn(X13,alive)
                | ~ setIn(X6,alive) ) )
          & ! [X6,X13] :
              ( nbr_proc = host(X13)
             => ~ elem(m_NotNorm(X6),queue(host(X13))) )
          & ! [X6,X13] :
              ( elem(m_Down(X13),queue(host(X6)))
             => host(X6) != host(X13) )
          & ! [X6,X13] :
              ( elem(m_Ldr(X13),queue(host(X6)))
             => ~ leq(host(X6),host(X13)) ) )
       => ( setIn(X4,alive)
         => ( ~ ( host(X5) = index(pendack,host(X4))
                & elec_2 = index(status,host(X4))
                & index(elid,host(X4)) = X12 )
           => ! [X6] :
                ( host(X4) != host(X6)
               => ! [X17,X18,X19] :
                    ( host(X4) = host(X19)
                   => ( ( elec_1 = index(status,host(X19))
                        & nbr_proc = host(X19)
                        & host(X19) = host(X17)
                        & elem(m_Down(X18),X11)
                        & ! [X16] :
                            ( ( leq(s(zero),X16)
                              & ~ leq(host(X19),X16) )
                           => ( host(X18) = X16
                              | setIn(X16,index(down,host(X19))) ) ) )
                     => ~ ( elem(m_Down(X17),queue(host(X6)))
                          & setIn(X6,alive) ) ) ) ) ) ) ),
    inference(negated_conjecture,[],[f67]) ).

fof(f105,plain,
    ! [X0,X1,X2] :
      ( elem(X0,cons(X1,X2))
    <=> ( elem(X0,X2)
        | X0 = X1 ) ),
    inference(rectify,[],[f47]) ).

fof(f124,plain,
    ~ ! [X0,X1,X2,X3] :
        ( ( queue(host(X2)) = cons(m_Ack(X1,X3),X0)
          & ! [X4,X5,X6,X7] :
              ( ( elec_1 = index(status,host(X7))
                & host(X5) = host(X7)
                & nbr_proc = host(X7)
                & elem(m_Down(X6),queue(host(X7)))
                & ! [X8] :
                    ( ( leq(s(zero),X8)
                      & ~ leq(host(X7),X8) )
                   => ( host(X6) = X8
                      | setIn(X8,index(down,host(X7))) ) ) )
             => ~ ( elem(m_Down(X5),queue(host(X4)))
                  & setIn(X4,alive) ) )
          & ! [X9,X10,X11,X12] :
              ( ( host(X12) = host(X11)
                & host(X9) = host(X10)
                & setIn(X11,alive)
                & setIn(X9,alive)
                & host(X11) != host(X9) )
             => ~ ( setIn(host(X10),index(down,host(X11)))
                  & elem(m_Down(X12),queue(host(X9))) ) )
          & ! [X13,X14,X15,X16] :
              ( ( host(X15) = host(X16)
                & host(X13) = host(X14)
                & setIn(X15,alive)
                & setIn(X13,alive)
                & host(X13) != host(X15) )
             => ~ ( elem(m_Down(X14),queue(host(X15)))
                  & elem(m_Down(X16),queue(host(X13))) ) )
          & ! [X17,X18,X19] :
              ( ( host(X18) = host(index(elid,host(X19)))
                & wait = index(status,host(X19))
                & host(X19) = host(X17)
                & setIn(X19,alive)
                & host(X19) != host(X18) )
             => ~ elem(m_Down(X17),queue(host(X18))) )
          & ! [X20,X21,X22] :
              ( ( host(X21) = index(ldr,host(X22))
                & norm = index(status,host(X22))
                & host(X22) = host(X20)
                & setIn(X22,alive)
                & host(X21) != host(X22) )
             => ~ elem(m_Down(X20),queue(host(X21))) )
          & ! [X23] :
              ( ( setIn(X23,alive)
                & ( elec_2 = index(status,host(X23))
                  | elec_1 = index(status,host(X23)) ) )
             => index(elid,host(X23)) = X23 )
          & ! [X24,X25] :
              ( ( host(X24) = host(X25)
                & X24 != X25 )
             => ( ~ setIn(X25,alive)
                | ~ setIn(X24,alive) ) )
          & ! [X26,X27] :
              ( nbr_proc = host(X27)
             => ~ elem(m_NotNorm(X26),queue(host(X27))) )
          & ! [X28,X29] :
              ( elem(m_Down(X29),queue(host(X28)))
             => host(X28) != host(X29) )
          & ! [X30,X31] :
              ( elem(m_Ldr(X31),queue(host(X30)))
             => ~ leq(host(X30),host(X31)) ) )
       => ( setIn(X2,alive)
         => ( ~ ( host(X3) = index(pendack,host(X2))
                & elec_2 = index(status,host(X2))
                & index(elid,host(X2)) = X1 )
           => ! [X32] :
                ( host(X2) != host(X32)
               => ! [X33,X34,X35] :
                    ( host(X2) = host(X35)
                   => ( ( elec_1 = index(status,host(X35))
                        & nbr_proc = host(X35)
                        & host(X35) = host(X33)
                        & elem(m_Down(X34),X0)
                        & ! [X36] :
                            ( ( leq(s(zero),X36)
                              & ~ leq(host(X35),X36) )
                           => ( host(X34) = X36
                              | setIn(X36,index(down,host(X35))) ) ) )
                     => ~ ( elem(m_Down(X33),queue(host(X32)))
                          & setIn(X32,alive) ) ) ) ) ) ) ),
    inference(rectify,[],[f68]) ).

fof(f140,plain,
    ? [X0,X1,X2,X3] :
      ( ? [X32] :
          ( ? [X33,X34,X35] :
              ( elem(m_Down(X33),queue(host(X32)))
              & setIn(X32,alive)
              & elec_1 = index(status,host(X35))
              & nbr_proc = host(X35)
              & host(X35) = host(X33)
              & elem(m_Down(X34),X0)
              & ! [X36] :
                  ( host(X34) = X36
                  | setIn(X36,index(down,host(X35)))
                  | ~ leq(s(zero),X36)
                  | leq(host(X35),X36) )
              & host(X2) = host(X35) )
          & host(X2) != host(X32) )
      & ( host(X3) != index(pendack,host(X2))
        | elec_2 != index(status,host(X2))
        | index(elid,host(X2)) != X1 )
      & setIn(X2,alive)
      & queue(host(X2)) = cons(m_Ack(X1,X3),X0)
      & ! [X4,X5,X6,X7] :
          ( ~ elem(m_Down(X5),queue(host(X4)))
          | ~ setIn(X4,alive)
          | elec_1 != index(status,host(X7))
          | host(X5) != host(X7)
          | nbr_proc != host(X7)
          | ~ elem(m_Down(X6),queue(host(X7)))
          | ? [X8] :
              ( host(X6) != X8
              & ~ setIn(X8,index(down,host(X7)))
              & leq(s(zero),X8)
              & ~ leq(host(X7),X8) ) )
      & ! [X9,X10,X11,X12] :
          ( ~ setIn(host(X10),index(down,host(X11)))
          | ~ elem(m_Down(X12),queue(host(X9)))
          | host(X12) != host(X11)
          | host(X9) != host(X10)
          | ~ setIn(X11,alive)
          | ~ setIn(X9,alive)
          | host(X11) = host(X9) )
      & ! [X13,X14,X15,X16] :
          ( ~ elem(m_Down(X14),queue(host(X15)))
          | ~ elem(m_Down(X16),queue(host(X13)))
          | host(X15) != host(X16)
          | host(X13) != host(X14)
          | ~ setIn(X15,alive)
          | ~ setIn(X13,alive)
          | host(X13) = host(X15) )
      & ! [X17,X18,X19] :
          ( ~ elem(m_Down(X17),queue(host(X18)))
          | host(X18) != host(index(elid,host(X19)))
          | wait != index(status,host(X19))
          | host(X19) != host(X17)
          | ~ setIn(X19,alive)
          | host(X19) = host(X18) )
      & ! [X20,X21,X22] :
          ( ~ elem(m_Down(X20),queue(host(X21)))
          | host(X21) != index(ldr,host(X22))
          | norm != index(status,host(X22))
          | host(X22) != host(X20)
          | ~ setIn(X22,alive)
          | host(X21) = host(X22) )
      & ! [X23] :
          ( index(elid,host(X23)) = X23
          | ~ setIn(X23,alive)
          | ( elec_2 != index(status,host(X23))
            & elec_1 != index(status,host(X23)) ) )
      & ! [X24,X25] :
          ( ~ setIn(X25,alive)
          | ~ setIn(X24,alive)
          | host(X24) != host(X25)
          | X24 = X25 )
      & ! [X26,X27] :
          ( ~ elem(m_NotNorm(X26),queue(host(X27)))
          | nbr_proc != host(X27) )
      & ! [X28,X29] :
          ( host(X28) != host(X29)
          | ~ elem(m_Down(X29),queue(host(X28))) )
      & ! [X30,X31] :
          ( ~ leq(host(X30),host(X31))
          | ~ elem(m_Ldr(X31),queue(host(X30))) ) ),
    inference(ennf_transformation,[],[f124]) ).

fof(f141,plain,
    ? [X0,X1,X2,X3] :
      ( ? [X32] :
          ( ? [X33,X34,X35] :
              ( elem(m_Down(X33),queue(host(X32)))
              & setIn(X32,alive)
              & elec_1 = index(status,host(X35))
              & nbr_proc = host(X35)
              & host(X35) = host(X33)
              & elem(m_Down(X34),X0)
              & ! [X36] :
                  ( host(X34) = X36
                  | setIn(X36,index(down,host(X35)))
                  | ~ leq(s(zero),X36)
                  | leq(host(X35),X36) )
              & host(X2) = host(X35) )
          & host(X2) != host(X32) )
      & ( host(X3) != index(pendack,host(X2))
        | elec_2 != index(status,host(X2))
        | index(elid,host(X2)) != X1 )
      & setIn(X2,alive)
      & queue(host(X2)) = cons(m_Ack(X1,X3),X0)
      & ! [X4,X5,X6,X7] :
          ( ~ elem(m_Down(X5),queue(host(X4)))
          | ~ setIn(X4,alive)
          | elec_1 != index(status,host(X7))
          | host(X5) != host(X7)
          | nbr_proc != host(X7)
          | ~ elem(m_Down(X6),queue(host(X7)))
          | ? [X8] :
              ( host(X6) != X8
              & ~ setIn(X8,index(down,host(X7)))
              & leq(s(zero),X8)
              & ~ leq(host(X7),X8) ) )
      & ! [X9,X10,X11,X12] :
          ( ~ setIn(host(X10),index(down,host(X11)))
          | ~ elem(m_Down(X12),queue(host(X9)))
          | host(X12) != host(X11)
          | host(X9) != host(X10)
          | ~ setIn(X11,alive)
          | ~ setIn(X9,alive)
          | host(X11) = host(X9) )
      & ! [X13,X14,X15,X16] :
          ( ~ elem(m_Down(X14),queue(host(X15)))
          | ~ elem(m_Down(X16),queue(host(X13)))
          | host(X15) != host(X16)
          | host(X13) != host(X14)
          | ~ setIn(X15,alive)
          | ~ setIn(X13,alive)
          | host(X13) = host(X15) )
      & ! [X17,X18,X19] :
          ( ~ elem(m_Down(X17),queue(host(X18)))
          | host(X18) != host(index(elid,host(X19)))
          | wait != index(status,host(X19))
          | host(X19) != host(X17)
          | ~ setIn(X19,alive)
          | host(X19) = host(X18) )
      & ! [X20,X21,X22] :
          ( ~ elem(m_Down(X20),queue(host(X21)))
          | host(X21) != index(ldr,host(X22))
          | norm != index(status,host(X22))
          | host(X22) != host(X20)
          | ~ setIn(X22,alive)
          | host(X21) = host(X22) )
      & ! [X23] :
          ( index(elid,host(X23)) = X23
          | ~ setIn(X23,alive)
          | ( elec_2 != index(status,host(X23))
            & elec_1 != index(status,host(X23)) ) )
      & ! [X24,X25] :
          ( ~ setIn(X25,alive)
          | ~ setIn(X24,alive)
          | host(X24) != host(X25)
          | X24 = X25 )
      & ! [X26,X27] :
          ( ~ elem(m_NotNorm(X26),queue(host(X27)))
          | nbr_proc != host(X27) )
      & ! [X28,X29] :
          ( host(X28) != host(X29)
          | ~ elem(m_Down(X29),queue(host(X28))) )
      & ! [X30,X31] :
          ( ~ leq(host(X30),host(X31))
          | ~ elem(m_Ldr(X31),queue(host(X30))) ) ),
    inference(flattening,[],[f140]) ).

fof(f147,plain,
    ! [X0,X1,X2] :
      ( ( elem(X0,cons(X1,X2))
        | ( ~ elem(X0,X2)
          & X0 != X1 ) )
      & ( elem(X0,X2)
        | X0 = X1
        | ~ elem(X0,cons(X1,X2)) ) ),
    inference(nnf_transformation,[],[f105]) ).

fof(f148,plain,
    ! [X0,X1,X2] :
      ( ( elem(X0,cons(X1,X2))
        | ( ~ elem(X0,X2)
          & X0 != X1 ) )
      & ( elem(X0,X2)
        | X0 = X1
        | ~ elem(X0,cons(X1,X2)) ) ),
    inference(flattening,[],[f147]) ).

fof(f170,plain,
    ? [X0,X1,X2,X3] :
      ( ? [X4] :
          ( ? [X5,X6,X7] :
              ( elem(m_Down(X5),queue(host(X4)))
              & setIn(X4,alive)
              & elec_1 = index(status,host(X7))
              & nbr_proc = host(X7)
              & host(X5) = host(X7)
              & elem(m_Down(X6),X0)
              & ! [X8] :
                  ( host(X6) = X8
                  | setIn(X8,index(down,host(X7)))
                  | ~ leq(s(zero),X8)
                  | leq(host(X7),X8) )
              & host(X2) = host(X7) )
          & host(X2) != host(X4) )
      & ( host(X3) != index(pendack,host(X2))
        | elec_2 != index(status,host(X2))
        | index(elid,host(X2)) != X1 )
      & setIn(X2,alive)
      & queue(host(X2)) = cons(m_Ack(X1,X3),X0)
      & ! [X9,X10,X11,X12] :
          ( ~ elem(m_Down(X10),queue(host(X9)))
          | ~ setIn(X9,alive)
          | elec_1 != index(status,host(X12))
          | host(X12) != host(X10)
          | nbr_proc != host(X12)
          | ~ elem(m_Down(X11),queue(host(X12)))
          | ? [X13] :
              ( host(X11) != X13
              & ~ setIn(X13,index(down,host(X12)))
              & leq(s(zero),X13)
              & ~ leq(host(X12),X13) ) )
      & ! [X14,X15,X16,X17] :
          ( ~ setIn(host(X15),index(down,host(X16)))
          | ~ elem(m_Down(X17),queue(host(X14)))
          | host(X17) != host(X16)
          | host(X14) != host(X15)
          | ~ setIn(X16,alive)
          | ~ setIn(X14,alive)
          | host(X14) = host(X16) )
      & ! [X18,X19,X20,X21] :
          ( ~ elem(m_Down(X19),queue(host(X20)))
          | ~ elem(m_Down(X21),queue(host(X18)))
          | host(X21) != host(X20)
          | host(X19) != host(X18)
          | ~ setIn(X20,alive)
          | ~ setIn(X18,alive)
          | host(X18) = host(X20) )
      & ! [X22,X23,X24] :
          ( ~ elem(m_Down(X22),queue(host(X23)))
          | host(X23) != host(index(elid,host(X24)))
          | wait != index(status,host(X24))
          | host(X22) != host(X24)
          | ~ setIn(X24,alive)
          | host(X23) = host(X24) )
      & ! [X25,X26,X27] :
          ( ~ elem(m_Down(X25),queue(host(X26)))
          | host(X26) != index(ldr,host(X27))
          | norm != index(status,host(X27))
          | host(X25) != host(X27)
          | ~ setIn(X27,alive)
          | host(X27) = host(X26) )
      & ! [X28] :
          ( index(elid,host(X28)) = X28
          | ~ setIn(X28,alive)
          | ( elec_2 != index(status,host(X28))
            & elec_1 != index(status,host(X28)) ) )
      & ! [X29,X30] :
          ( ~ setIn(X30,alive)
          | ~ setIn(X29,alive)
          | host(X29) != host(X30)
          | X29 = X30 )
      & ! [X31,X32] :
          ( ~ elem(m_NotNorm(X31),queue(host(X32)))
          | nbr_proc != host(X32) )
      & ! [X33,X34] :
          ( host(X33) != host(X34)
          | ~ elem(m_Down(X34),queue(host(X33))) )
      & ! [X35,X36] :
          ( ~ leq(host(X35),host(X36))
          | ~ elem(m_Ldr(X36),queue(host(X35))) ) ),
    inference(rectify,[],[f141]) ).

fof(f171,plain,
    ( ? [X0,X1,X2,X3] :
        ( ? [X4] :
            ( ? [X5,X6,X7] :
                ( elem(m_Down(X5),queue(host(X4)))
                & setIn(X4,alive)
                & elec_1 = index(status,host(X7))
                & nbr_proc = host(X7)
                & host(X5) = host(X7)
                & elem(m_Down(X6),X0)
                & ! [X8] :
                    ( host(X6) = X8
                    | setIn(X8,index(down,host(X7)))
                    | ~ leq(s(zero),X8)
                    | leq(host(X7),X8) )
                & host(X2) = host(X7) )
            & host(X2) != host(X4) )
        & ( host(X3) != index(pendack,host(X2))
          | elec_2 != index(status,host(X2))
          | index(elid,host(X2)) != X1 )
        & setIn(X2,alive)
        & queue(host(X2)) = cons(m_Ack(X1,X3),X0)
        & ! [X9,X10,X11,X12] :
            ( ~ elem(m_Down(X10),queue(host(X9)))
            | ~ setIn(X9,alive)
            | elec_1 != index(status,host(X12))
            | host(X12) != host(X10)
            | nbr_proc != host(X12)
            | ~ elem(m_Down(X11),queue(host(X12)))
            | ? [X13] :
                ( host(X11) != X13
                & ~ setIn(X13,index(down,host(X12)))
                & leq(s(zero),X13)
                & ~ leq(host(X12),X13) ) )
        & ! [X14,X15,X16,X17] :
            ( ~ setIn(host(X15),index(down,host(X16)))
            | ~ elem(m_Down(X17),queue(host(X14)))
            | host(X17) != host(X16)
            | host(X14) != host(X15)
            | ~ setIn(X16,alive)
            | ~ setIn(X14,alive)
            | host(X14) = host(X16) )
        & ! [X18,X19,X20,X21] :
            ( ~ elem(m_Down(X19),queue(host(X20)))
            | ~ elem(m_Down(X21),queue(host(X18)))
            | host(X21) != host(X20)
            | host(X19) != host(X18)
            | ~ setIn(X20,alive)
            | ~ setIn(X18,alive)
            | host(X18) = host(X20) )
        & ! [X22,X23,X24] :
            ( ~ elem(m_Down(X22),queue(host(X23)))
            | host(X23) != host(index(elid,host(X24)))
            | wait != index(status,host(X24))
            | host(X22) != host(X24)
            | ~ setIn(X24,alive)
            | host(X23) = host(X24) )
        & ! [X25,X26,X27] :
            ( ~ elem(m_Down(X25),queue(host(X26)))
            | host(X26) != index(ldr,host(X27))
            | norm != index(status,host(X27))
            | host(X25) != host(X27)
            | ~ setIn(X27,alive)
            | host(X27) = host(X26) )
        & ! [X28] :
            ( index(elid,host(X28)) = X28
            | ~ setIn(X28,alive)
            | ( elec_2 != index(status,host(X28))
              & elec_1 != index(status,host(X28)) ) )
        & ! [X29,X30] :
            ( ~ setIn(X30,alive)
            | ~ setIn(X29,alive)
            | host(X29) != host(X30)
            | X29 = X30 )
        & ! [X31,X32] :
            ( ~ elem(m_NotNorm(X31),queue(host(X32)))
            | nbr_proc != host(X32) )
        & ! [X33,X34] :
            ( host(X33) != host(X34)
            | ~ elem(m_Down(X34),queue(host(X33))) )
        & ! [X35,X36] :
            ( ~ leq(host(X35),host(X36))
            | ~ elem(m_Ldr(X36),queue(host(X35))) ) )
   => ( ? [X4] :
          ( ? [X7,X6,X5] :
              ( elem(m_Down(X5),queue(host(X4)))
              & setIn(X4,alive)
              & elec_1 = index(status,host(X7))
              & nbr_proc = host(X7)
              & host(X5) = host(X7)
              & elem(m_Down(X6),sK3)
              & ! [X8] :
                  ( host(X6) = X8
                  | setIn(X8,index(down,host(X7)))
                  | ~ leq(s(zero),X8)
                  | leq(host(X7),X8) )
              & host(X7) = host(sK5) )
          & host(X4) != host(sK5) )
      & ( host(sK6) != index(pendack,host(sK5))
        | elec_2 != index(status,host(sK5))
        | sK4 != index(elid,host(sK5)) )
      & setIn(sK5,alive)
      & queue(host(sK5)) = cons(m_Ack(sK4,sK6),sK3)
      & ! [X9,X10,X11,X12] :
          ( ~ elem(m_Down(X10),queue(host(X9)))
          | ~ setIn(X9,alive)
          | elec_1 != index(status,host(X12))
          | host(X12) != host(X10)
          | nbr_proc != host(X12)
          | ~ elem(m_Down(X11),queue(host(X12)))
          | ? [X13] :
              ( host(X11) != X13
              & ~ setIn(X13,index(down,host(X12)))
              & leq(s(zero),X13)
              & ~ leq(host(X12),X13) ) )
      & ! [X14,X15,X16,X17] :
          ( ~ setIn(host(X15),index(down,host(X16)))
          | ~ elem(m_Down(X17),queue(host(X14)))
          | host(X17) != host(X16)
          | host(X14) != host(X15)
          | ~ setIn(X16,alive)
          | ~ setIn(X14,alive)
          | host(X14) = host(X16) )
      & ! [X18,X19,X20,X21] :
          ( ~ elem(m_Down(X19),queue(host(X20)))
          | ~ elem(m_Down(X21),queue(host(X18)))
          | host(X21) != host(X20)
          | host(X19) != host(X18)
          | ~ setIn(X20,alive)
          | ~ setIn(X18,alive)
          | host(X18) = host(X20) )
      & ! [X22,X23,X24] :
          ( ~ elem(m_Down(X22),queue(host(X23)))
          | host(X23) != host(index(elid,host(X24)))
          | wait != index(status,host(X24))
          | host(X22) != host(X24)
          | ~ setIn(X24,alive)
          | host(X23) = host(X24) )
      & ! [X25,X26,X27] :
          ( ~ elem(m_Down(X25),queue(host(X26)))
          | host(X26) != index(ldr,host(X27))
          | norm != index(status,host(X27))
          | host(X25) != host(X27)
          | ~ setIn(X27,alive)
          | host(X27) = host(X26) )
      & ! [X28] :
          ( index(elid,host(X28)) = X28
          | ~ setIn(X28,alive)
          | ( elec_2 != index(status,host(X28))
            & elec_1 != index(status,host(X28)) ) )
      & ! [X29,X30] :
          ( ~ setIn(X30,alive)
          | ~ setIn(X29,alive)
          | host(X29) != host(X30)
          | X29 = X30 )
      & ! [X31,X32] :
          ( ~ elem(m_NotNorm(X31),queue(host(X32)))
          | nbr_proc != host(X32) )
      & ! [X33,X34] :
          ( host(X33) != host(X34)
          | ~ elem(m_Down(X34),queue(host(X33))) )
      & ! [X35,X36] :
          ( ~ leq(host(X35),host(X36))
          | ~ elem(m_Ldr(X36),queue(host(X35))) ) ) ),
    introduced(choice_axiom,[]) ).

fof(f172,plain,
    ( ? [X4] :
        ( ? [X7,X6,X5] :
            ( elem(m_Down(X5),queue(host(X4)))
            & setIn(X4,alive)
            & elec_1 = index(status,host(X7))
            & nbr_proc = host(X7)
            & host(X5) = host(X7)
            & elem(m_Down(X6),sK3)
            & ! [X8] :
                ( host(X6) = X8
                | setIn(X8,index(down,host(X7)))
                | ~ leq(s(zero),X8)
                | leq(host(X7),X8) )
            & host(X7) = host(sK5) )
        & host(X4) != host(sK5) )
   => ( ? [X7,X6,X5] :
          ( elem(m_Down(X5),queue(host(sK7)))
          & setIn(sK7,alive)
          & elec_1 = index(status,host(X7))
          & nbr_proc = host(X7)
          & host(X5) = host(X7)
          & elem(m_Down(X6),sK3)
          & ! [X8] :
              ( host(X6) = X8
              | setIn(X8,index(down,host(X7)))
              | ~ leq(s(zero),X8)
              | leq(host(X7),X8) )
          & host(X7) = host(sK5) )
      & host(sK5) != host(sK7) ) ),
    introduced(choice_axiom,[]) ).

fof(f173,plain,
    ( ? [X7,X6,X5] :
        ( elem(m_Down(X5),queue(host(sK7)))
        & setIn(sK7,alive)
        & elec_1 = index(status,host(X7))
        & nbr_proc = host(X7)
        & host(X5) = host(X7)
        & elem(m_Down(X6),sK3)
        & ! [X8] :
            ( host(X6) = X8
            | setIn(X8,index(down,host(X7)))
            | ~ leq(s(zero),X8)
            | leq(host(X7),X8) )
        & host(X7) = host(sK5) )
   => ( elem(m_Down(sK8),queue(host(sK7)))
      & setIn(sK7,alive)
      & elec_1 = index(status,host(sK10))
      & nbr_proc = host(sK10)
      & host(sK10) = host(sK8)
      & elem(m_Down(sK9),sK3)
      & ! [X8] :
          ( host(sK9) = X8
          | setIn(X8,index(down,host(sK10)))
          | ~ leq(s(zero),X8)
          | leq(host(sK10),X8) )
      & host(sK5) = host(sK10) ) ),
    introduced(choice_axiom,[]) ).

fof(f174,plain,
    ! [X11,X12] :
      ( ? [X13] :
          ( host(X11) != X13
          & ~ setIn(X13,index(down,host(X12)))
          & leq(s(zero),X13)
          & ~ leq(host(X12),X13) )
     => ( host(X11) != sK11(X11,X12)
        & ~ setIn(sK11(X11,X12),index(down,host(X12)))
        & leq(s(zero),sK11(X11,X12))
        & ~ leq(host(X12),sK11(X11,X12)) ) ),
    introduced(choice_axiom,[]) ).

fof(f175,plain,
    ( elem(m_Down(sK8),queue(host(sK7)))
    & setIn(sK7,alive)
    & elec_1 = index(status,host(sK10))
    & nbr_proc = host(sK10)
    & host(sK10) = host(sK8)
    & elem(m_Down(sK9),sK3)
    & ! [X8] :
        ( host(sK9) = X8
        | setIn(X8,index(down,host(sK10)))
        | ~ leq(s(zero),X8)
        | leq(host(sK10),X8) )
    & host(sK5) = host(sK10)
    & host(sK5) != host(sK7)
    & ( host(sK6) != index(pendack,host(sK5))
      | elec_2 != index(status,host(sK5))
      | sK4 != index(elid,host(sK5)) )
    & setIn(sK5,alive)
    & queue(host(sK5)) = cons(m_Ack(sK4,sK6),sK3)
    & ! [X9,X10,X11,X12] :
        ( ~ elem(m_Down(X10),queue(host(X9)))
        | ~ setIn(X9,alive)
        | elec_1 != index(status,host(X12))
        | host(X12) != host(X10)
        | nbr_proc != host(X12)
        | ~ elem(m_Down(X11),queue(host(X12)))
        | ( host(X11) != sK11(X11,X12)
          & ~ setIn(sK11(X11,X12),index(down,host(X12)))
          & leq(s(zero),sK11(X11,X12))
          & ~ leq(host(X12),sK11(X11,X12)) ) )
    & ! [X14,X15,X16,X17] :
        ( ~ setIn(host(X15),index(down,host(X16)))
        | ~ elem(m_Down(X17),queue(host(X14)))
        | host(X17) != host(X16)
        | host(X14) != host(X15)
        | ~ setIn(X16,alive)
        | ~ setIn(X14,alive)
        | host(X14) = host(X16) )
    & ! [X18,X19,X20,X21] :
        ( ~ elem(m_Down(X19),queue(host(X20)))
        | ~ elem(m_Down(X21),queue(host(X18)))
        | host(X21) != host(X20)
        | host(X19) != host(X18)
        | ~ setIn(X20,alive)
        | ~ setIn(X18,alive)
        | host(X18) = host(X20) )
    & ! [X22,X23,X24] :
        ( ~ elem(m_Down(X22),queue(host(X23)))
        | host(X23) != host(index(elid,host(X24)))
        | wait != index(status,host(X24))
        | host(X22) != host(X24)
        | ~ setIn(X24,alive)
        | host(X23) = host(X24) )
    & ! [X25,X26,X27] :
        ( ~ elem(m_Down(X25),queue(host(X26)))
        | host(X26) != index(ldr,host(X27))
        | norm != index(status,host(X27))
        | host(X25) != host(X27)
        | ~ setIn(X27,alive)
        | host(X27) = host(X26) )
    & ! [X28] :
        ( index(elid,host(X28)) = X28
        | ~ setIn(X28,alive)
        | ( elec_2 != index(status,host(X28))
          & elec_1 != index(status,host(X28)) ) )
    & ! [X29,X30] :
        ( ~ setIn(X30,alive)
        | ~ setIn(X29,alive)
        | host(X29) != host(X30)
        | X29 = X30 )
    & ! [X31,X32] :
        ( ~ elem(m_NotNorm(X31),queue(host(X32)))
        | nbr_proc != host(X32) )
    & ! [X33,X34] :
        ( host(X33) != host(X34)
        | ~ elem(m_Down(X34),queue(host(X33))) )
    & ! [X35,X36] :
        ( ~ leq(host(X35),host(X36))
        | ~ elem(m_Ldr(X36),queue(host(X35))) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK3,sK4,sK5,sK6,sK7,sK8,sK9,sK10,sK11])],[f170,f174,f173,f172,f171]) ).

fof(f230,plain,
    ! [X2,X0,X1] :
      ( elem(X0,cons(X1,X2))
      | ~ elem(X0,X2) ),
    inference(cnf_transformation,[],[f148]) ).

fof(f282,plain,
    ! [X10,X11,X9,X12] :
      ( ~ elem(m_Down(X10),queue(host(X9)))
      | ~ setIn(X9,alive)
      | elec_1 != index(status,host(X12))
      | host(X12) != host(X10)
      | nbr_proc != host(X12)
      | ~ elem(m_Down(X11),queue(host(X12)))
      | ~ leq(host(X12),sK11(X11,X12)) ),
    inference(cnf_transformation,[],[f175]) ).

fof(f283,plain,
    ! [X10,X11,X9,X12] :
      ( ~ elem(m_Down(X10),queue(host(X9)))
      | ~ setIn(X9,alive)
      | elec_1 != index(status,host(X12))
      | host(X12) != host(X10)
      | nbr_proc != host(X12)
      | ~ elem(m_Down(X11),queue(host(X12)))
      | leq(s(zero),sK11(X11,X12)) ),
    inference(cnf_transformation,[],[f175]) ).

fof(f284,plain,
    ! [X10,X11,X9,X12] :
      ( ~ elem(m_Down(X10),queue(host(X9)))
      | ~ setIn(X9,alive)
      | elec_1 != index(status,host(X12))
      | host(X12) != host(X10)
      | nbr_proc != host(X12)
      | ~ elem(m_Down(X11),queue(host(X12)))
      | ~ setIn(sK11(X11,X12),index(down,host(X12))) ),
    inference(cnf_transformation,[],[f175]) ).

fof(f285,plain,
    ! [X10,X11,X9,X12] :
      ( ~ elem(m_Down(X10),queue(host(X9)))
      | ~ setIn(X9,alive)
      | elec_1 != index(status,host(X12))
      | host(X12) != host(X10)
      | nbr_proc != host(X12)
      | ~ elem(m_Down(X11),queue(host(X12)))
      | host(X11) != sK11(X11,X12) ),
    inference(cnf_transformation,[],[f175]) ).

fof(f286,plain,
    queue(host(sK5)) = cons(m_Ack(sK4,sK6),sK3),
    inference(cnf_transformation,[],[f175]) ).

fof(f290,plain,
    host(sK5) = host(sK10),
    inference(cnf_transformation,[],[f175]) ).

fof(f291,plain,
    ! [X8] :
      ( host(sK9) = X8
      | setIn(X8,index(down,host(sK10)))
      | ~ leq(s(zero),X8)
      | leq(host(sK10),X8) ),
    inference(cnf_transformation,[],[f175]) ).

fof(f292,plain,
    elem(m_Down(sK9),sK3),
    inference(cnf_transformation,[],[f175]) ).

fof(f293,plain,
    host(sK10) = host(sK8),
    inference(cnf_transformation,[],[f175]) ).

fof(f294,plain,
    nbr_proc = host(sK10),
    inference(cnf_transformation,[],[f175]) ).

fof(f295,plain,
    elec_1 = index(status,host(sK10)),
    inference(cnf_transformation,[],[f175]) ).

fof(f296,plain,
    setIn(sK7,alive),
    inference(cnf_transformation,[],[f175]) ).

fof(f297,plain,
    elem(m_Down(sK8),queue(host(sK7))),
    inference(cnf_transformation,[],[f175]) ).

cnf(c_95,plain,
    ( ~ elem(X0,X1)
    | elem(X0,cons(X2,X1)) ),
    inference(cnf_transformation,[],[f230]) ).

cnf(c_139,negated_conjecture,
    elem(m_Down(sK8),queue(host(sK7))),
    inference(cnf_transformation,[],[f297]) ).

cnf(c_140,negated_conjecture,
    setIn(sK7,alive),
    inference(cnf_transformation,[],[f296]) ).

cnf(c_141,negated_conjecture,
    index(status,host(sK10)) = elec_1,
    inference(cnf_transformation,[],[f295]) ).

cnf(c_142,negated_conjecture,
    host(sK10) = nbr_proc,
    inference(cnf_transformation,[],[f294]) ).

cnf(c_143,negated_conjecture,
    host(sK8) = host(sK10),
    inference(cnf_transformation,[],[f293]) ).

cnf(c_144,negated_conjecture,
    elem(m_Down(sK9),sK3),
    inference(cnf_transformation,[],[f292]) ).

cnf(c_145,negated_conjecture,
    ( ~ leq(s(zero),X0)
    | host(sK9) = X0
    | setIn(X0,index(down,host(sK10)))
    | leq(host(sK10),X0) ),
    inference(cnf_transformation,[],[f291]) ).

cnf(c_146,negated_conjecture,
    host(sK10) = host(sK5),
    inference(cnf_transformation,[],[f290]) ).

cnf(c_150,negated_conjecture,
    cons(m_Ack(sK4,sK6),sK3) = queue(host(sK5)),
    inference(cnf_transformation,[],[f286]) ).

cnf(c_151,negated_conjecture,
    ( index(status,host(X0)) != elec_1
    | sK11(X2,X0) != host(X2)
    | host(X0) != host(X1)
    | host(X0) != nbr_proc
    | ~ elem(m_Down(X1),queue(host(X3)))
    | ~ elem(m_Down(X2),queue(host(X0)))
    | ~ setIn(X3,alive) ),
    inference(cnf_transformation,[],[f285]) ).

cnf(c_152,negated_conjecture,
    ( index(status,host(X0)) != elec_1
    | host(X0) != host(X1)
    | host(X0) != nbr_proc
    | ~ setIn(sK11(X2,X0),index(down,host(X0)))
    | ~ elem(m_Down(X1),queue(host(X3)))
    | ~ elem(m_Down(X2),queue(host(X0)))
    | ~ setIn(X3,alive) ),
    inference(cnf_transformation,[],[f284]) ).

cnf(c_153,negated_conjecture,
    ( index(status,host(X0)) != elec_1
    | host(X0) != host(X1)
    | host(X0) != nbr_proc
    | ~ elem(m_Down(X1),queue(host(X2)))
    | ~ elem(m_Down(X3),queue(host(X0)))
    | ~ setIn(X2,alive)
    | leq(s(zero),sK11(X3,X0)) ),
    inference(cnf_transformation,[],[f283]) ).

cnf(c_154,negated_conjecture,
    ( index(status,host(X0)) != elec_1
    | host(X0) != host(X1)
    | host(X0) != nbr_proc
    | ~ leq(host(X0),sK11(X2,X0))
    | ~ elem(m_Down(X1),queue(host(X3)))
    | ~ elem(m_Down(X2),queue(host(X0)))
    | ~ setIn(X3,alive) ),
    inference(cnf_transformation,[],[f282]) ).

cnf(c_984,plain,
    host(sK5) = nbr_proc,
    inference(light_normalisation,[status(thm)],[c_146,c_142]) ).

cnf(c_985,plain,
    host(sK8) = nbr_proc,
    inference(light_normalisation,[status(thm)],[c_143,c_142]) ).

cnf(c_989,plain,
    index(status,nbr_proc) = elec_1,
    inference(light_normalisation,[status(thm)],[c_141,c_142]) ).

cnf(c_1039,plain,
    cons(m_Ack(sK4,sK6),sK3) = queue(nbr_proc),
    inference(light_normalisation,[status(thm)],[c_150,c_984]) ).

cnf(c_1204,plain,
    ( ~ leq(s(zero),X0)
    | host(sK9) = X0
    | setIn(X0,index(down,nbr_proc))
    | leq(nbr_proc,X0) ),
    inference(light_normalisation,[status(thm)],[c_145,c_142]) ).

cnf(c_4587,plain,
    ( index(status,nbr_proc) != elec_1
    | host(X0) != host(sK10)
    | host(sK10) != nbr_proc
    | ~ elem(m_Down(X0),queue(host(X1)))
    | ~ elem(m_Down(X2),queue(host(sK10)))
    | ~ setIn(X1,alive)
    | leq(s(zero),sK11(X2,sK10)) ),
    inference(superposition,[status(thm)],[c_142,c_153]) ).

cnf(c_4597,plain,
    ( index(status,nbr_proc) != elec_1
    | host(X0) != nbr_proc
    | host(sK10) != nbr_proc
    | ~ elem(m_Down(X0),queue(host(X1)))
    | ~ elem(m_Down(X2),queue(nbr_proc))
    | ~ setIn(X1,alive)
    | leq(s(zero),sK11(X2,sK10)) ),
    inference(light_normalisation,[status(thm)],[c_4587,c_142]) ).

cnf(c_4598,plain,
    ( index(status,nbr_proc) != elec_1
    | host(X0) != nbr_proc
    | ~ elem(m_Down(X0),queue(host(X1)))
    | ~ elem(m_Down(X2),queue(nbr_proc))
    | ~ setIn(X1,alive)
    | leq(s(zero),sK11(X2,sK10)) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_4597,c_142]) ).

cnf(c_4694,plain,
    ( index(status,nbr_proc) != elec_1
    | host(X0) != host(sK10)
    | host(sK10) != nbr_proc
    | ~ elem(m_Down(X0),queue(host(X1)))
    | ~ elem(m_Down(X2),queue(host(sK10)))
    | ~ leq(host(sK10),sK11(X2,sK10))
    | ~ setIn(X1,alive) ),
    inference(superposition,[status(thm)],[c_142,c_154]) ).

cnf(c_4713,plain,
    ( index(status,nbr_proc) != elec_1
    | host(X0) != nbr_proc
    | host(sK10) != nbr_proc
    | ~ elem(m_Down(X0),queue(host(X1)))
    | ~ elem(m_Down(X2),queue(nbr_proc))
    | ~ leq(nbr_proc,sK11(X2,sK10))
    | ~ setIn(X1,alive) ),
    inference(light_normalisation,[status(thm)],[c_4694,c_142]) ).

cnf(c_4714,plain,
    ( index(status,nbr_proc) != elec_1
    | host(X0) != nbr_proc
    | ~ elem(m_Down(X0),queue(host(X1)))
    | ~ elem(m_Down(X2),queue(nbr_proc))
    | ~ leq(nbr_proc,sK11(X2,sK10))
    | ~ setIn(X1,alive) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_4713,c_142]) ).

cnf(c_4749,plain,
    ( index(status,nbr_proc) != elec_1
    | host(X0) != host(sK10)
    | host(sK10) != nbr_proc
    | ~ setIn(sK11(X1,sK10),index(down,host(sK10)))
    | ~ elem(m_Down(X0),queue(host(X2)))
    | ~ elem(m_Down(X1),queue(host(sK10)))
    | ~ setIn(X2,alive) ),
    inference(superposition,[status(thm)],[c_142,c_152]) ).

cnf(c_4768,plain,
    ( index(status,nbr_proc) != elec_1
    | host(X0) != nbr_proc
    | host(sK10) != nbr_proc
    | ~ setIn(sK11(X1,sK10),index(down,nbr_proc))
    | ~ elem(m_Down(X0),queue(host(X2)))
    | ~ elem(m_Down(X1),queue(nbr_proc))
    | ~ setIn(X2,alive) ),
    inference(light_normalisation,[status(thm)],[c_4749,c_142]) ).

cnf(c_4769,plain,
    ( index(status,nbr_proc) != elec_1
    | host(X0) != nbr_proc
    | ~ setIn(sK11(X1,sK10),index(down,nbr_proc))
    | ~ elem(m_Down(X0),queue(host(X2)))
    | ~ elem(m_Down(X1),queue(nbr_proc))
    | ~ setIn(X2,alive) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_4768,c_142]) ).

cnf(c_5090,plain,
    ( host(X0) != nbr_proc
    | ~ elem(m_Down(X0),queue(host(X1)))
    | ~ elem(m_Down(X2),queue(nbr_proc))
    | ~ setIn(X1,alive)
    | leq(s(zero),sK11(X2,sK10)) ),
    inference(global_subsumption_just,[status(thm)],[c_4598,c_989,c_4598]) ).

cnf(c_5103,plain,
    ( ~ elem(m_Down(sK8),queue(host(X0)))
    | ~ elem(m_Down(X1),queue(nbr_proc))
    | ~ setIn(X0,alive)
    | leq(s(zero),sK11(X1,sK10)) ),
    inference(superposition,[status(thm)],[c_985,c_5090]) ).

cnf(c_5129,plain,
    ( host(X0) != nbr_proc
    | ~ elem(m_Down(X0),queue(host(X1)))
    | ~ elem(m_Down(X2),queue(nbr_proc))
    | ~ leq(nbr_proc,sK11(X2,sK10))
    | ~ setIn(X1,alive) ),
    inference(global_subsumption_just,[status(thm)],[c_4714,c_989,c_4714]) ).

cnf(c_5142,plain,
    ( ~ elem(m_Down(sK8),queue(host(X0)))
    | ~ elem(m_Down(X1),queue(nbr_proc))
    | ~ leq(nbr_proc,sK11(X1,sK10))
    | ~ setIn(X0,alive) ),
    inference(superposition,[status(thm)],[c_985,c_5129]) ).

cnf(c_5200,plain,
    ( host(X0) != nbr_proc
    | ~ setIn(sK11(X1,sK10),index(down,nbr_proc))
    | ~ elem(m_Down(X0),queue(host(X2)))
    | ~ elem(m_Down(X1),queue(nbr_proc))
    | ~ setIn(X2,alive) ),
    inference(global_subsumption_just,[status(thm)],[c_4769,c_989,c_4769]) ).

cnf(c_5213,plain,
    ( ~ setIn(sK11(X0,sK10),index(down,nbr_proc))
    | ~ elem(m_Down(sK8),queue(host(X1)))
    | ~ elem(m_Down(X0),queue(nbr_proc))
    | ~ setIn(X1,alive) ),
    inference(superposition,[status(thm)],[c_985,c_5200]) ).

cnf(c_5587,plain,
    ( ~ elem(X0,sK3)
    | elem(X0,queue(nbr_proc)) ),
    inference(superposition,[status(thm)],[c_1039,c_95]) ).

cnf(c_7398,plain,
    ( ~ elem(m_Down(sK8),queue(host(X0)))
    | ~ leq(s(zero),sK11(X1,sK10))
    | ~ elem(m_Down(X1),queue(nbr_proc))
    | ~ setIn(X0,alive)
    | sK11(X1,sK10) = host(sK9)
    | leq(nbr_proc,sK11(X1,sK10)) ),
    inference(superposition,[status(thm)],[c_1204,c_5213]) ).

cnf(c_8845,plain,
    ( sK11(X1,sK10) = host(sK9)
    | ~ setIn(X0,alive)
    | ~ elem(m_Down(X1),queue(nbr_proc))
    | ~ elem(m_Down(sK8),queue(host(X0))) ),
    inference(global_subsumption_just,[status(thm)],[c_7398,c_5103,c_5142,c_7398]) ).

cnf(c_8846,plain,
    ( ~ elem(m_Down(sK8),queue(host(X0)))
    | ~ elem(m_Down(X1),queue(nbr_proc))
    | ~ setIn(X0,alive)
    | sK11(X1,sK10) = host(sK9) ),
    inference(renaming,[status(thm)],[c_8845]) ).

cnf(c_8855,plain,
    ( ~ elem(m_Down(X0),queue(nbr_proc))
    | ~ setIn(sK7,alive)
    | sK11(X0,sK10) = host(sK9) ),
    inference(superposition,[status(thm)],[c_139,c_8846]) ).

cnf(c_8859,plain,
    ( ~ elem(m_Down(X0),queue(nbr_proc))
    | sK11(X0,sK10) = host(sK9) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_8855,c_140]) ).

cnf(c_8869,plain,
    ( ~ elem(m_Down(X0),sK3)
    | sK11(X0,sK10) = host(sK9) ),
    inference(superposition,[status(thm)],[c_5587,c_8859]) ).

cnf(c_8877,plain,
    sK11(sK9,sK10) = host(sK9),
    inference(superposition,[status(thm)],[c_144,c_8869]) ).

cnf(c_9001,plain,
    ( index(status,host(sK10)) != elec_1
    | host(X0) != host(sK10)
    | host(sK10) != nbr_proc
    | ~ elem(m_Down(X0),queue(host(X1)))
    | ~ elem(m_Down(sK9),queue(host(sK10)))
    | ~ setIn(X1,alive) ),
    inference(superposition,[status(thm)],[c_8877,c_151]) ).

cnf(c_9026,plain,
    ( host(X0) != nbr_proc
    | host(sK10) != nbr_proc
    | elec_1 != elec_1
    | ~ elem(m_Down(X0),queue(host(X1)))
    | ~ elem(m_Down(sK9),queue(nbr_proc))
    | ~ setIn(X1,alive) ),
    inference(light_normalisation,[status(thm)],[c_9001,c_142,c_989]) ).

cnf(c_9027,plain,
    ( host(X0) != nbr_proc
    | host(sK10) != nbr_proc
    | ~ elem(m_Down(X0),queue(host(X1)))
    | ~ elem(m_Down(sK9),queue(nbr_proc))
    | ~ setIn(X1,alive) ),
    inference(equality_resolution_simp,[status(thm)],[c_9026]) ).

cnf(c_9028,plain,
    ( host(X0) != nbr_proc
    | ~ elem(m_Down(X0),queue(host(X1)))
    | ~ elem(m_Down(sK9),queue(nbr_proc))
    | ~ setIn(X1,alive) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_9027,c_142]) ).

cnf(c_9375,plain,
    ( ~ elem(m_Down(sK8),queue(host(X0)))
    | ~ elem(m_Down(sK9),queue(nbr_proc))
    | ~ setIn(X0,alive) ),
    inference(superposition,[status(thm)],[c_985,c_9028]) ).

cnf(c_9534,plain,
    ( ~ elem(m_Down(sK9),queue(nbr_proc))
    | ~ setIn(sK7,alive) ),
    inference(superposition,[status(thm)],[c_139,c_9375]) ).

cnf(c_9538,plain,
    ~ elem(m_Down(sK9),queue(nbr_proc)),
    inference(forward_subsumption_resolution,[status(thm)],[c_9534,c_140]) ).

cnf(c_9593,plain,
    ~ elem(m_Down(sK9),sK3),
    inference(superposition,[status(thm)],[c_5587,c_9538]) ).

cnf(c_9594,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[c_9593,c_144]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SWV473+1 : TPTP v8.1.2. Released v4.0.0.
% 0.07/0.13  % Command  : run_iprover %s %d THM
% 0.12/0.34  % Computer : n028.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 300
% 0.12/0.34  % DateTime : Tue Aug 29 04:42:25 EDT 2023
% 0.12/0.34  % CPUTime  : 
% 0.20/0.47  Running first-order theorem proving
% 0.20/0.47  Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 4.08/1.19  % SZS status Started for theBenchmark.p
% 4.08/1.19  % SZS status Theorem for theBenchmark.p
% 4.08/1.19  
% 4.08/1.19  %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 4.08/1.19  
% 4.08/1.19  ------  iProver source info
% 4.08/1.19  
% 4.08/1.19  git: date: 2023-05-31 18:12:56 +0000
% 4.08/1.19  git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 4.08/1.19  git: non_committed_changes: false
% 4.08/1.19  git: last_make_outside_of_git: false
% 4.08/1.19  
% 4.08/1.19  ------ Parsing...
% 4.08/1.19  ------ Clausification by vclausify_rel  & Parsing by iProver...
% 4.08/1.19  
% 4.08/1.19  ------ Preprocessing... sup_sim: 9  sf_s  rm: 1 0s  sf_e  pe_s  pe_e  sup_sim: 0  sf_s  rm: 1 0s  sf_e  pe_s  pe_e 
% 4.08/1.19  
% 4.08/1.19  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 4.08/1.19  
% 4.08/1.19  ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 4.08/1.19  ------ Proving...
% 4.08/1.19  ------ Problem Properties 
% 4.08/1.19  
% 4.08/1.19  
% 4.08/1.19  clauses                                 111
% 4.08/1.19  conjectures                             19
% 4.08/1.19  EPR                                     16
% 4.08/1.19  Horn                                    95
% 4.08/1.19  unary                                   55
% 4.08/1.19  binary                                  25
% 4.08/1.19  lits                                    237
% 4.08/1.19  lits eq                                 104
% 4.08/1.19  fd_pure                                 0
% 4.08/1.19  fd_pseudo                               0
% 4.08/1.19  fd_cond                                 1
% 4.08/1.19  fd_pseudo_cond                          12
% 4.08/1.19  AC symbols                              0
% 4.08/1.19  
% 4.08/1.19  ------ Schedule dynamic 5 is on 
% 4.08/1.19  
% 4.08/1.19  ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 4.08/1.19  
% 4.08/1.19  
% 4.08/1.19  ------ 
% 4.08/1.19  Current options:
% 4.08/1.19  ------ 
% 4.08/1.19  
% 4.08/1.19  
% 4.08/1.19  
% 4.08/1.19  
% 4.08/1.19  ------ Proving...
% 4.08/1.19  
% 4.08/1.19  
% 4.08/1.19  % SZS status Theorem for theBenchmark.p
% 4.08/1.19  
% 4.08/1.19  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 4.08/1.19  
% 4.08/1.19  
%------------------------------------------------------------------------------