TSTP Solution File: SWV473+1 by Vampire-SAT---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : SWV473+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s

% Computer : n015.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Sat Sep  2 13:47:51 EDT 2023

% Result   : Theorem 45.97s 7.18s
% Output   : Refutation 45.97s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   17
%            Number of leaves      :    9
% Syntax   : Number of formulae    :   62 (  25 unt;   0 def)
%            Number of atoms       :  832 ( 405 equ)
%            Maximal formula atoms :  128 (  13 avg)
%            Number of connectives : 1235 ( 465   ~; 364   |; 344   &)
%                                         (   4 <=>;  58  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   27 (   8 avg)
%            Maximal term depth    :    4 (   2 avg)
%            Number of predicates  :    8 (   6 usr;   1 prp; 0-2 aty)
%            Number of functors    :   30 (  30 usr;  20 con; 0-2 aty)
%            Number of variables   :  428 (; 368   !;  60   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f343451,plain,
    $false,
    inference(subsumption_resolution,[],[f343417,f343032]) ).

fof(f343032,plain,
    ~ setIn(sK3(sK10,sK11),index(down,nbr_proc)),
    inference(forward_demodulation,[],[f343023,f210]) ).

fof(f210,plain,
    nbr_proc = host(sK11),
    inference(cnf_transformation,[],[f156]) ).

fof(f156,plain,
    ( elem(m_Down(sK9),queue(host(sK8)))
    & setIn(sK8,alive)
    & elec_1 = index(status,host(sK11))
    & nbr_proc = host(sK11)
    & host(sK11) = host(sK9)
    & elem(m_Down(sK10),sK4)
    & ! [X8] :
        ( host(sK10) = X8
        | setIn(X8,index(down,host(sK11)))
        | ~ leq(s(zero),X8)
        | leq(host(sK11),X8) )
    & host(sK6) = host(sK11)
    & host(sK6) != host(sK8)
    & ( host(sK7) != index(pendack,host(sK6))
      | elec_2 != index(status,host(sK6))
      | sK5 != index(elid,host(sK6)) )
    & setIn(sK6,alive)
    & queue(host(sK6)) = cons(m_Ack(sK5,sK7),sK4)
    & ! [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)))
        | sP0(X11,X12) )
    & ! [X13,X14,X15,X16] :
        ( ~ setIn(host(X14),index(down,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,X20] :
        ( ~ elem(m_Down(X18),queue(host(X19)))
        | ~ elem(m_Down(X20),queue(host(X17)))
        | host(X19) != host(X20)
        | host(X18) != host(X17)
        | ~ setIn(X19,alive)
        | ~ setIn(X17,alive)
        | host(X19) = host(X17) )
    & ! [X21,X22,X23] :
        ( ~ elem(m_Down(X21),queue(host(X22)))
        | host(X22) != host(index(elid,host(X23)))
        | wait != index(status,host(X23))
        | host(X21) != host(X23)
        | ~ setIn(X23,alive)
        | host(X22) = host(X23) )
    & ! [X24,X25,X26] :
        ( ~ elem(m_Down(X24),queue(host(X25)))
        | host(X25) != index(ldr,host(X26))
        | norm != index(status,host(X26))
        | host(X24) != host(X26)
        | ~ setIn(X26,alive)
        | host(X25) = host(X26) )
    & ! [X27] :
        ( index(elid,host(X27)) = X27
        | ~ setIn(X27,alive)
        | ( elec_2 != index(status,host(X27))
          & elec_1 != index(status,host(X27)) ) )
    & ! [X28,X29] :
        ( ~ setIn(X29,alive)
        | ~ setIn(X28,alive)
        | host(X28) != host(X29)
        | X28 = X29 )
    & ! [X30,X31] :
        ( ~ elem(m_NotNorm(X30),queue(host(X31)))
        | nbr_proc != host(X31) )
    & ! [X32,X33] :
        ( host(X32) != host(X33)
        | ~ elem(m_Down(X33),queue(host(X32))) )
    & ! [X34,X35] :
        ( ~ leq(host(X34),host(X35))
        | ~ elem(m_Ldr(X35),queue(host(X34))) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK4,sK5,sK6,sK7,sK8,sK9,sK10,sK11])],[f152,f155,f154,f153]) ).

fof(f153,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)))
            | sP0(X11,X12) )
        & ! [X13,X14,X15,X16] :
            ( ~ setIn(host(X14),index(down,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,X20] :
            ( ~ elem(m_Down(X18),queue(host(X19)))
            | ~ elem(m_Down(X20),queue(host(X17)))
            | host(X19) != host(X20)
            | host(X18) != host(X17)
            | ~ setIn(X19,alive)
            | ~ setIn(X17,alive)
            | host(X19) = host(X17) )
        & ! [X21,X22,X23] :
            ( ~ elem(m_Down(X21),queue(host(X22)))
            | host(X22) != host(index(elid,host(X23)))
            | wait != index(status,host(X23))
            | host(X21) != host(X23)
            | ~ setIn(X23,alive)
            | host(X22) = host(X23) )
        & ! [X24,X25,X26] :
            ( ~ elem(m_Down(X24),queue(host(X25)))
            | host(X25) != index(ldr,host(X26))
            | norm != index(status,host(X26))
            | host(X24) != host(X26)
            | ~ setIn(X26,alive)
            | host(X25) = host(X26) )
        & ! [X27] :
            ( index(elid,host(X27)) = X27
            | ~ setIn(X27,alive)
            | ( elec_2 != index(status,host(X27))
              & elec_1 != index(status,host(X27)) ) )
        & ! [X28,X29] :
            ( ~ setIn(X29,alive)
            | ~ setIn(X28,alive)
            | host(X28) != host(X29)
            | X28 = X29 )
        & ! [X30,X31] :
            ( ~ elem(m_NotNorm(X30),queue(host(X31)))
            | nbr_proc != host(X31) )
        & ! [X32,X33] :
            ( host(X32) != host(X33)
            | ~ elem(m_Down(X33),queue(host(X32))) )
        & ! [X34,X35] :
            ( ~ leq(host(X34),host(X35))
            | ~ elem(m_Ldr(X35),queue(host(X34))) ) )
   => ( ? [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),sK4)
              & ! [X8] :
                  ( host(X6) = X8
                  | setIn(X8,index(down,host(X7)))
                  | ~ leq(s(zero),X8)
                  | leq(host(X7),X8) )
              & host(X7) = host(sK6) )
          & host(X4) != host(sK6) )
      & ( host(sK7) != index(pendack,host(sK6))
        | elec_2 != index(status,host(sK6))
        | sK5 != index(elid,host(sK6)) )
      & setIn(sK6,alive)
      & queue(host(sK6)) = cons(m_Ack(sK5,sK7),sK4)
      & ! [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)))
          | sP0(X11,X12) )
      & ! [X13,X14,X15,X16] :
          ( ~ setIn(host(X14),index(down,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,X20] :
          ( ~ elem(m_Down(X18),queue(host(X19)))
          | ~ elem(m_Down(X20),queue(host(X17)))
          | host(X19) != host(X20)
          | host(X18) != host(X17)
          | ~ setIn(X19,alive)
          | ~ setIn(X17,alive)
          | host(X19) = host(X17) )
      & ! [X21,X22,X23] :
          ( ~ elem(m_Down(X21),queue(host(X22)))
          | host(X22) != host(index(elid,host(X23)))
          | wait != index(status,host(X23))
          | host(X21) != host(X23)
          | ~ setIn(X23,alive)
          | host(X22) = host(X23) )
      & ! [X24,X25,X26] :
          ( ~ elem(m_Down(X24),queue(host(X25)))
          | host(X25) != index(ldr,host(X26))
          | norm != index(status,host(X26))
          | host(X24) != host(X26)
          | ~ setIn(X26,alive)
          | host(X25) = host(X26) )
      & ! [X27] :
          ( index(elid,host(X27)) = X27
          | ~ setIn(X27,alive)
          | ( elec_2 != index(status,host(X27))
            & elec_1 != index(status,host(X27)) ) )
      & ! [X28,X29] :
          ( ~ setIn(X29,alive)
          | ~ setIn(X28,alive)
          | host(X28) != host(X29)
          | X28 = X29 )
      & ! [X30,X31] :
          ( ~ elem(m_NotNorm(X30),queue(host(X31)))
          | nbr_proc != host(X31) )
      & ! [X32,X33] :
          ( host(X32) != host(X33)
          | ~ elem(m_Down(X33),queue(host(X32))) )
      & ! [X34,X35] :
          ( ~ leq(host(X34),host(X35))
          | ~ elem(m_Ldr(X35),queue(host(X34))) ) ) ),
    introduced(choice_axiom,[]) ).

fof(f154,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),sK4)
            & ! [X8] :
                ( host(X6) = X8
                | setIn(X8,index(down,host(X7)))
                | ~ leq(s(zero),X8)
                | leq(host(X7),X8) )
            & host(X7) = host(sK6) )
        & host(X4) != host(sK6) )
   => ( ? [X7,X6,X5] :
          ( elem(m_Down(X5),queue(host(sK8)))
          & setIn(sK8,alive)
          & elec_1 = index(status,host(X7))
          & nbr_proc = host(X7)
          & host(X5) = host(X7)
          & elem(m_Down(X6),sK4)
          & ! [X8] :
              ( host(X6) = X8
              | setIn(X8,index(down,host(X7)))
              | ~ leq(s(zero),X8)
              | leq(host(X7),X8) )
          & host(X7) = host(sK6) )
      & host(sK6) != host(sK8) ) ),
    introduced(choice_axiom,[]) ).

fof(f155,plain,
    ( ? [X7,X6,X5] :
        ( elem(m_Down(X5),queue(host(sK8)))
        & setIn(sK8,alive)
        & elec_1 = index(status,host(X7))
        & nbr_proc = host(X7)
        & host(X5) = host(X7)
        & elem(m_Down(X6),sK4)
        & ! [X8] :
            ( host(X6) = X8
            | setIn(X8,index(down,host(X7)))
            | ~ leq(s(zero),X8)
            | leq(host(X7),X8) )
        & host(X7) = host(sK6) )
   => ( elem(m_Down(sK9),queue(host(sK8)))
      & setIn(sK8,alive)
      & elec_1 = index(status,host(sK11))
      & nbr_proc = host(sK11)
      & host(sK11) = host(sK9)
      & elem(m_Down(sK10),sK4)
      & ! [X8] :
          ( host(sK10) = X8
          | setIn(X8,index(down,host(sK11)))
          | ~ leq(s(zero),X8)
          | leq(host(sK11),X8) )
      & host(sK6) = host(sK11) ) ),
    introduced(choice_axiom,[]) ).

fof(f152,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)))
          | sP0(X11,X12) )
      & ! [X13,X14,X15,X16] :
          ( ~ setIn(host(X14),index(down,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,X20] :
          ( ~ elem(m_Down(X18),queue(host(X19)))
          | ~ elem(m_Down(X20),queue(host(X17)))
          | host(X19) != host(X20)
          | host(X18) != host(X17)
          | ~ setIn(X19,alive)
          | ~ setIn(X17,alive)
          | host(X19) = host(X17) )
      & ! [X21,X22,X23] :
          ( ~ elem(m_Down(X21),queue(host(X22)))
          | host(X22) != host(index(elid,host(X23)))
          | wait != index(status,host(X23))
          | host(X21) != host(X23)
          | ~ setIn(X23,alive)
          | host(X22) = host(X23) )
      & ! [X24,X25,X26] :
          ( ~ elem(m_Down(X24),queue(host(X25)))
          | host(X25) != index(ldr,host(X26))
          | norm != index(status,host(X26))
          | host(X24) != host(X26)
          | ~ setIn(X26,alive)
          | host(X25) = host(X26) )
      & ! [X27] :
          ( index(elid,host(X27)) = X27
          | ~ setIn(X27,alive)
          | ( elec_2 != index(status,host(X27))
            & elec_1 != index(status,host(X27)) ) )
      & ! [X28,X29] :
          ( ~ setIn(X29,alive)
          | ~ setIn(X28,alive)
          | host(X28) != host(X29)
          | X28 = X29 )
      & ! [X30,X31] :
          ( ~ elem(m_NotNorm(X30),queue(host(X31)))
          | nbr_proc != host(X31) )
      & ! [X32,X33] :
          ( host(X32) != host(X33)
          | ~ elem(m_Down(X33),queue(host(X32))) )
      & ! [X34,X35] :
          ( ~ leq(host(X34),host(X35))
          | ~ elem(m_Ldr(X35),queue(host(X34))) ) ),
    inference(rectify,[],[f143]) ).

fof(f143,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)))
          | sP0(X6,X7) )
      & ! [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(definition_folding,[],[f126,f142]) ).

fof(f142,plain,
    ! [X6,X7] :
      ( ? [X8] :
          ( host(X6) != X8
          & ~ setIn(X8,index(down,host(X7)))
          & leq(s(zero),X8)
          & ~ leq(host(X7),X8) )
      | ~ sP0(X6,X7) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).

fof(f126,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,[],[f125]) ).

fof(f125,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,[],[f69]) ).

fof(f69,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(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(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/sandbox2/tmp/tmp.P91rrXNYdh/Vampire---4.8_24260',conj) ).

fof(f343023,plain,
    ~ setIn(sK3(sK10,sK11),index(down,host(sK11))),
    inference(unit_resulting_resolution,[],[f343018,f189]) ).

fof(f189,plain,
    ! [X0,X1] :
      ( ~ sP0(X0,X1)
      | ~ setIn(sK3(X0,X1),index(down,host(X1))) ),
    inference(cnf_transformation,[],[f151]) ).

fof(f151,plain,
    ! [X0,X1] :
      ( ( host(X0) != sK3(X0,X1)
        & ~ setIn(sK3(X0,X1),index(down,host(X1)))
        & leq(s(zero),sK3(X0,X1))
        & ~ leq(host(X1),sK3(X0,X1)) )
      | ~ sP0(X0,X1) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK3])],[f149,f150]) ).

fof(f150,plain,
    ! [X0,X1] :
      ( ? [X2] :
          ( host(X0) != X2
          & ~ setIn(X2,index(down,host(X1)))
          & leq(s(zero),X2)
          & ~ leq(host(X1),X2) )
     => ( host(X0) != sK3(X0,X1)
        & ~ setIn(sK3(X0,X1),index(down,host(X1)))
        & leq(s(zero),sK3(X0,X1))
        & ~ leq(host(X1),sK3(X0,X1)) ) ),
    introduced(choice_axiom,[]) ).

fof(f149,plain,
    ! [X0,X1] :
      ( ? [X2] :
          ( host(X0) != X2
          & ~ setIn(X2,index(down,host(X1)))
          & leq(s(zero),X2)
          & ~ leq(host(X1),X2) )
      | ~ sP0(X0,X1) ),
    inference(rectify,[],[f148]) ).

fof(f148,plain,
    ! [X6,X7] :
      ( ? [X8] :
          ( host(X6) != X8
          & ~ setIn(X8,index(down,host(X7)))
          & leq(s(zero),X8)
          & ~ leq(host(X7),X8) )
      | ~ sP0(X6,X7) ),
    inference(nnf_transformation,[],[f142]) ).

fof(f343018,plain,
    sP0(sK10,sK11),
    inference(unit_resulting_resolution,[],[f230303,f5723,f10602]) ).

fof(f10602,plain,
    ! [X0] :
      ( ~ elem(m_Down(X0),queue(nbr_proc))
      | sP0(X0,sK11)
      | sP15(sK11) ),
    inference(superposition,[],[f314,f210]) ).

fof(f314,plain,
    ! [X11,X12] :
      ( ~ elem(m_Down(X11),queue(host(X12)))
      | sP0(X11,X12)
      | sP15(X12) ),
    inference(cnf_transformation,[],[f314_D]) ).

fof(f314_D,plain,
    ! [X12] :
      ( ! [X11] :
          ( ~ elem(m_Down(X11),queue(host(X12)))
          | sP0(X11,X12) )
    <=> ~ sP15(X12) ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP15])]) ).

fof(f5723,plain,
    elem(m_Down(sK10),queue(nbr_proc)),
    inference(superposition,[],[f5672,f331]) ).

fof(f331,plain,
    cons(m_Ack(sK5,sK7),sK4) = queue(nbr_proc),
    inference(forward_demodulation,[],[f202,f326]) ).

fof(f326,plain,
    nbr_proc = host(sK6),
    inference(forward_demodulation,[],[f206,f210]) ).

fof(f206,plain,
    host(sK6) = host(sK11),
    inference(cnf_transformation,[],[f156]) ).

fof(f202,plain,
    queue(host(sK6)) = cons(m_Ack(sK5,sK7),sK4),
    inference(cnf_transformation,[],[f156]) ).

fof(f5672,plain,
    ! [X0] : elem(m_Down(sK10),cons(X0,sK4)),
    inference(unit_resulting_resolution,[],[f208,f311]) ).

fof(f311,plain,
    ! [X2,X0,X1] :
      ( ~ elem(X0,X2)
      | elem(X0,cons(X1,X2)) ),
    inference(cnf_transformation,[],[f186]) ).

fof(f186,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,[],[f185]) ).

fof(f185,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,[],[f122]) ).

fof(f122,plain,
    ! [X0,X1,X2] :
      ( elem(X0,cons(X1,X2))
    <=> ( elem(X0,X2)
        | X0 = X1 ) ),
    inference(rectify,[],[f47]) ).

fof(f47,axiom,
    ! [X4,X5,X3] :
      ( elem(X4,cons(X5,X3))
    <=> ( elem(X4,X3)
        | X4 = X5 ) ),
    file('/export/starexec/sandbox2/tmp/tmp.P91rrXNYdh/Vampire---4.8_24260',axiom_46) ).

fof(f208,plain,
    elem(m_Down(sK10),sK4),
    inference(cnf_transformation,[],[f156]) ).

fof(f230303,plain,
    ~ sP15(sK11),
    inference(unit_resulting_resolution,[],[f11729,f210,f323,f340,f322]) ).

fof(f322,plain,
    ! [X10,X12] :
      ( ~ sP16(X10)
      | nbr_proc != host(X10)
      | nbr_proc != host(X12)
      | ~ sP15(X12)
      | elec_1 != index(status,nbr_proc) ),
    inference(inner_rewriting,[],[f317]) ).

fof(f317,plain,
    ! [X10,X12] :
      ( elec_1 != index(status,host(X12))
      | host(X12) != host(X10)
      | nbr_proc != host(X12)
      | ~ sP15(X12)
      | ~ sP16(X10) ),
    inference(general_splitting,[],[f315,f316_D]) ).

fof(f316,plain,
    ! [X10,X9] :
      ( ~ setIn(X9,alive)
      | ~ elem(m_Down(X10),queue(host(X9)))
      | sP16(X10) ),
    inference(cnf_transformation,[],[f316_D]) ).

fof(f316_D,plain,
    ! [X10] :
      ( ! [X9] :
          ( ~ setIn(X9,alive)
          | ~ elem(m_Down(X10),queue(host(X9))) )
    <=> ~ sP16(X10) ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP16])]) ).

fof(f315,plain,
    ! [X10,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)
      | ~ sP15(X12) ),
    inference(general_splitting,[],[f201,f314_D]) ).

fof(f201,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)))
      | sP0(X11,X12) ),
    inference(cnf_transformation,[],[f156]) ).

fof(f340,plain,
    elec_1 = index(status,nbr_proc),
    inference(superposition,[],[f211,f210]) ).

fof(f211,plain,
    elec_1 = index(status,host(sK11)),
    inference(cnf_transformation,[],[f156]) ).

fof(f323,plain,
    nbr_proc = host(sK9),
    inference(forward_demodulation,[],[f209,f210]) ).

fof(f209,plain,
    host(sK11) = host(sK9),
    inference(cnf_transformation,[],[f156]) ).

fof(f11729,plain,
    sP16(sK9),
    inference(unit_resulting_resolution,[],[f212,f213,f316]) ).

fof(f213,plain,
    elem(m_Down(sK9),queue(host(sK8))),
    inference(cnf_transformation,[],[f156]) ).

fof(f212,plain,
    setIn(sK8,alive),
    inference(cnf_transformation,[],[f156]) ).

fof(f343417,plain,
    setIn(sK3(sK10,sK11),index(down,nbr_proc)),
    inference(unit_resulting_resolution,[],[f343031,f343024,f343025,f325]) ).

fof(f325,plain,
    ! [X8] :
      ( ~ leq(s(zero),X8)
      | setIn(X8,index(down,nbr_proc))
      | host(sK10) = X8
      | leq(nbr_proc,X8) ),
    inference(forward_demodulation,[],[f324,f210]) ).

fof(f324,plain,
    ! [X8] :
      ( setIn(X8,index(down,nbr_proc))
      | host(sK10) = X8
      | ~ leq(s(zero),X8)
      | leq(host(sK11),X8) ),
    inference(forward_demodulation,[],[f207,f210]) ).

fof(f207,plain,
    ! [X8] :
      ( host(sK10) = X8
      | setIn(X8,index(down,host(sK11)))
      | ~ leq(s(zero),X8)
      | leq(host(sK11),X8) ),
    inference(cnf_transformation,[],[f156]) ).

fof(f343025,plain,
    leq(s(zero),sK3(sK10,sK11)),
    inference(unit_resulting_resolution,[],[f343018,f188]) ).

fof(f188,plain,
    ! [X0,X1] :
      ( ~ sP0(X0,X1)
      | leq(s(zero),sK3(X0,X1)) ),
    inference(cnf_transformation,[],[f151]) ).

fof(f343024,plain,
    host(sK10) != sK3(sK10,sK11),
    inference(unit_resulting_resolution,[],[f343018,f190]) ).

fof(f190,plain,
    ! [X0,X1] :
      ( ~ sP0(X0,X1)
      | host(X0) != sK3(X0,X1) ),
    inference(cnf_transformation,[],[f151]) ).

fof(f343031,plain,
    ~ leq(nbr_proc,sK3(sK10,sK11)),
    inference(forward_demodulation,[],[f343026,f210]) ).

fof(f343026,plain,
    ~ leq(host(sK11),sK3(sK10,sK11)),
    inference(unit_resulting_resolution,[],[f343018,f187]) ).

fof(f187,plain,
    ! [X0,X1] :
      ( ~ sP0(X0,X1)
      | ~ leq(host(X1),sK3(X0,X1)) ),
    inference(cnf_transformation,[],[f151]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.15  % Problem    : SWV473+1 : TPTP v8.1.2. Released v4.0.0.
% 0.15/0.17  % Command    : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.17/0.39  % Computer : n015.cluster.edu
% 0.17/0.39  % Model    : x86_64 x86_64
% 0.17/0.39  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.39  % Memory   : 8042.1875MB
% 0.17/0.39  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.17/0.39  % CPULimit   : 300
% 0.17/0.39  % WCLimit    : 300
% 0.17/0.39  % DateTime   : Wed Aug 30 17:51:12 EDT 2023
% 0.17/0.39  % CPUTime    : 
% 0.17/0.43  % (24374)Running in auto input_syntax mode. Trying TPTP
% 0.17/0.43  % (24376)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on Vampire---4 for (846ds/0Mi)
% 0.17/0.43  % (24380)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on Vampire---4 for (533ds/0Mi)
% 0.17/0.43  % (24378)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on Vampire---4 for (793ds/0Mi)
% 0.17/0.43  % (24381)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on Vampire---4 for (531ds/0Mi)
% 0.17/0.43  % (24379)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on Vampire---4 for (569ds/0Mi)
% 0.17/0.43  % (24382)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on Vampire---4 for (522ds/0Mi)
% 0.17/0.43  % (24383)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on Vampire---4 for (497ds/0Mi)
% 0.17/0.44  Detected minimum model sizes of [4]
% 0.17/0.44  Detected maximum model sizes of [max]
% 0.17/0.44  TRYING [4]
% 0.17/0.45  Detected minimum model sizes of [4]
% 0.17/0.45  Detected maximum model sizes of [max]
% 0.24/0.46  TRYING [4]
% 0.24/0.49  TRYING [5]
% 0.24/0.58  TRYING [6]
% 0.24/0.69  TRYING [5]
% 0.24/0.73  TRYING [7]
% 4.12/1.03  TRYING [8]
% 6.23/1.54  Detected minimum model sizes of [4]
% 6.23/1.54  Detected maximum model sizes of [max]
% 6.23/1.54  TRYING [4]
% 7.63/1.59  TRYING [5]
% 7.63/1.61  TRYING [9]
% 8.35/1.69  TRYING [6]
% 9.79/1.85  TRYING [7]
% 10.45/1.95  TRYING [6]
% 11.90/2.21  TRYING [8]
% 14.35/2.54  TRYING [10]
% 16.45/2.83  TRYING [9]
% 23.89/3.93  TRYING [10]
% 25.97/4.25  TRYING [11]
% 36.06/5.69  TRYING [11]
% 45.33/6.97  TRYING [12]
% 45.97/7.15  % (24383)First to succeed.
% 45.97/7.18  % (24383)Refutation found. Thanks to Tanya!
% 45.97/7.18  % SZS status Theorem for Vampire---4
% 45.97/7.18  % SZS output start Proof for Vampire---4
% See solution above
% 45.97/7.18  % (24383)------------------------------
% 45.97/7.18  % (24383)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 45.97/7.18  % (24383)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 45.97/7.18  % (24383)Termination reason: Refutation
% 45.97/7.18  
% 45.97/7.18  % (24383)Memory used [KB]: 195860
% 45.97/7.18  % (24383)Time elapsed: 6.724 s
% 45.97/7.18  % (24383)------------------------------
% 45.97/7.18  % (24383)------------------------------
% 45.97/7.18  % (24374)Success in time 6.745 s
% 45.97/7.18  % Vampire---4.8 exiting
%------------------------------------------------------------------------------