TSTP Solution File: SWV449+1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SWV449+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s

% Computer : n014.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 : Sun May  5 10:34:39 EDT 2024

% Result   : Theorem 0.79s 0.78s
% Output   : Refutation 0.79s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   15
%            Number of leaves      :    9
% Syntax   : Number of formulae    :   48 (  17 unt;   0 def)
%            Number of atoms       :  570 ( 259 equ)
%            Maximal formula atoms :   88 (  11 avg)
%            Number of connectives :  788 ( 266   ~; 162   |; 297   &)
%                                         (   4 <=>;  59  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   31 (   9 avg)
%            Maximal term depth    :    3 (   2 avg)
%            Number of predicates  :    5 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :   25 (  25 usr;  16 con; 0-2 aty)
%            Number of variables   :  311 ( 249   !;  62   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f996,plain,
    $false,
    inference(subsumption_resolution,[],[f992,f200]) ).

fof(f200,plain,
    host(sK7) = host(sK8),
    inference(cnf_transformation,[],[f148]) ).

fof(f148,plain,
    ( elem(m_Down(sK8),snoc(sK0,m_Ldr(sK2)))
    & elem(m_Down(sK6),queue(host(sK7)))
    & host(sK7) = host(sK8)
    & host(sK5) = host(sK6)
    & setIn(sK7,alive)
    & setIn(sK5,alive)
    & host(sK5) != host(sK7)
    & host(sK2) != host(sK7)
    & host(sK4) != host(sK7)
    & host(sK2) = host(sK5)
    & host(sK4) = host(sK5)
    & ( host(sK3) = host(sK4)
      | setIn(host(sK4),index(acks,host(sK2))) )
    & leq(nbr_proc,index(pendack,host(sK2)))
    & host(sK3) = index(pendack,host(sK2))
    & elec_2 = index(status,host(sK2))
    & sK1 = index(elid,host(sK2))
    & setIn(sK2,alive)
    & queue(host(sK2)) = cons(m_Ack(sK1,sK3),sK0)
    & ! [X9,X10,X11,X12] :
        ( ~ elem(m_Down(X10),queue(host(X11)))
        | ~ elem(m_Down(X12),queue(host(X9)))
        | host(X11) != host(X12)
        | host(X9) != host(X10)
        | ~ setIn(X11,alive)
        | ~ setIn(X9,alive)
        | host(X9) = host(X11) )
    & ! [X13,X14] :
        ( ~ setIn(X14,alive)
        | ~ setIn(X13,alive)
        | host(X13) != host(X14)
        | X13 = X14 )
    & ! [X15,X16] :
        ( ~ setIn(X16,alive)
        | host(X15) != host(X16)
        | ~ leq(X16,X15)
        | setIn(X15,alive) )
    & ! [X17,X18,X19] :
        ( ~ leq(host(X17),host(X19))
        | ~ elem(m_Ack(X19,X17),queue(host(X18))) )
    & ! [X20,X21] :
        ( ~ leq(host(X20),host(X21))
        | ~ elem(m_Halt(X21),queue(host(X20))) )
    & ! [X22,X23] :
        ( host(X23) != host(X22)
        | ~ elem(m_Down(X23),queue(host(X22))) )
    & ! [X24,X25] :
        ( ~ setIn(X25,alive)
        | ~ elem(m_Down(X25),queue(host(X24))) )
    & ! [X26,X27] :
        ( ~ elem(m_Down(X27),queue(host(X26)))
        | ~ setIn(X27,alive) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4,sK5,sK6,sK7,sK8])],[f142,f147,f146,f145,f144,f143]) ).

fof(f143,plain,
    ( ? [X0,X1,X2,X3] :
        ( ? [X4] :
            ( ? [X5] :
                ( ? [X6,X7] :
                    ( ? [X8] :
                        ( elem(m_Down(X8),snoc(X0,m_Ldr(X2)))
                        & elem(m_Down(X6),queue(host(X7)))
                        & host(X7) = host(X8)
                        & host(X5) = host(X6)
                        & setIn(X7,alive)
                        & setIn(X5,alive)
                        & host(X5) != host(X7) )
                    & host(X2) != host(X7)
                    & host(X4) != host(X7) )
                & host(X2) = host(X5)
                & host(X4) = host(X5) )
            & ( host(X3) = host(X4)
              | setIn(host(X4),index(acks,host(X2))) ) )
        & leq(nbr_proc,index(pendack,host(X2)))
        & 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(X11)))
            | ~ elem(m_Down(X12),queue(host(X9)))
            | host(X11) != host(X12)
            | host(X9) != host(X10)
            | ~ setIn(X11,alive)
            | ~ setIn(X9,alive)
            | host(X9) = host(X11) )
        & ! [X13,X14] :
            ( ~ setIn(X14,alive)
            | ~ setIn(X13,alive)
            | host(X13) != host(X14)
            | X13 = X14 )
        & ! [X15,X16] :
            ( ~ setIn(X16,alive)
            | host(X15) != host(X16)
            | ~ leq(X16,X15)
            | setIn(X15,alive) )
        & ! [X17,X18,X19] :
            ( ~ leq(host(X17),host(X19))
            | ~ elem(m_Ack(X19,X17),queue(host(X18))) )
        & ! [X20,X21] :
            ( ~ leq(host(X20),host(X21))
            | ~ elem(m_Halt(X21),queue(host(X20))) )
        & ! [X22,X23] :
            ( host(X23) != host(X22)
            | ~ elem(m_Down(X23),queue(host(X22))) )
        & ! [X24,X25] :
            ( ~ setIn(X25,alive)
            | ~ elem(m_Down(X25),queue(host(X24))) )
        & ! [X26,X27] :
            ( ~ elem(m_Down(X27),queue(host(X26)))
            | ~ setIn(X27,alive) ) )
   => ( ? [X4] :
          ( ? [X5] :
              ( ? [X7,X6] :
                  ( ? [X8] :
                      ( elem(m_Down(X8),snoc(sK0,m_Ldr(sK2)))
                      & elem(m_Down(X6),queue(host(X7)))
                      & host(X7) = host(X8)
                      & host(X5) = host(X6)
                      & setIn(X7,alive)
                      & setIn(X5,alive)
                      & host(X5) != host(X7) )
                  & host(X7) != host(sK2)
                  & host(X4) != host(X7) )
              & host(X5) = host(sK2)
              & host(X4) = host(X5) )
          & ( host(X4) = host(sK3)
            | setIn(host(X4),index(acks,host(sK2))) ) )
      & leq(nbr_proc,index(pendack,host(sK2)))
      & host(sK3) = index(pendack,host(sK2))
      & elec_2 = index(status,host(sK2))
      & sK1 = index(elid,host(sK2))
      & setIn(sK2,alive)
      & queue(host(sK2)) = cons(m_Ack(sK1,sK3),sK0)
      & ! [X9,X10,X11,X12] :
          ( ~ elem(m_Down(X10),queue(host(X11)))
          | ~ elem(m_Down(X12),queue(host(X9)))
          | host(X11) != host(X12)
          | host(X9) != host(X10)
          | ~ setIn(X11,alive)
          | ~ setIn(X9,alive)
          | host(X9) = host(X11) )
      & ! [X13,X14] :
          ( ~ setIn(X14,alive)
          | ~ setIn(X13,alive)
          | host(X13) != host(X14)
          | X13 = X14 )
      & ! [X15,X16] :
          ( ~ setIn(X16,alive)
          | host(X15) != host(X16)
          | ~ leq(X16,X15)
          | setIn(X15,alive) )
      & ! [X17,X18,X19] :
          ( ~ leq(host(X17),host(X19))
          | ~ elem(m_Ack(X19,X17),queue(host(X18))) )
      & ! [X20,X21] :
          ( ~ leq(host(X20),host(X21))
          | ~ elem(m_Halt(X21),queue(host(X20))) )
      & ! [X22,X23] :
          ( host(X23) != host(X22)
          | ~ elem(m_Down(X23),queue(host(X22))) )
      & ! [X24,X25] :
          ( ~ setIn(X25,alive)
          | ~ elem(m_Down(X25),queue(host(X24))) )
      & ! [X26,X27] :
          ( ~ elem(m_Down(X27),queue(host(X26)))
          | ~ setIn(X27,alive) ) ) ),
    introduced(choice_axiom,[]) ).

fof(f144,plain,
    ( ? [X4] :
        ( ? [X5] :
            ( ? [X7,X6] :
                ( ? [X8] :
                    ( elem(m_Down(X8),snoc(sK0,m_Ldr(sK2)))
                    & elem(m_Down(X6),queue(host(X7)))
                    & host(X7) = host(X8)
                    & host(X5) = host(X6)
                    & setIn(X7,alive)
                    & setIn(X5,alive)
                    & host(X5) != host(X7) )
                & host(X7) != host(sK2)
                & host(X4) != host(X7) )
            & host(X5) = host(sK2)
            & host(X4) = host(X5) )
        & ( host(X4) = host(sK3)
          | setIn(host(X4),index(acks,host(sK2))) ) )
   => ( ? [X5] :
          ( ? [X7,X6] :
              ( ? [X8] :
                  ( elem(m_Down(X8),snoc(sK0,m_Ldr(sK2)))
                  & elem(m_Down(X6),queue(host(X7)))
                  & host(X7) = host(X8)
                  & host(X5) = host(X6)
                  & setIn(X7,alive)
                  & setIn(X5,alive)
                  & host(X5) != host(X7) )
              & host(X7) != host(sK2)
              & host(X7) != host(sK4) )
          & host(X5) = host(sK2)
          & host(X5) = host(sK4) )
      & ( host(sK3) = host(sK4)
        | setIn(host(sK4),index(acks,host(sK2))) ) ) ),
    introduced(choice_axiom,[]) ).

fof(f145,plain,
    ( ? [X5] :
        ( ? [X7,X6] :
            ( ? [X8] :
                ( elem(m_Down(X8),snoc(sK0,m_Ldr(sK2)))
                & elem(m_Down(X6),queue(host(X7)))
                & host(X7) = host(X8)
                & host(X5) = host(X6)
                & setIn(X7,alive)
                & setIn(X5,alive)
                & host(X5) != host(X7) )
            & host(X7) != host(sK2)
            & host(X7) != host(sK4) )
        & host(X5) = host(sK2)
        & host(X5) = host(sK4) )
   => ( ? [X7,X6] :
          ( ? [X8] :
              ( elem(m_Down(X8),snoc(sK0,m_Ldr(sK2)))
              & elem(m_Down(X6),queue(host(X7)))
              & host(X7) = host(X8)
              & host(X6) = host(sK5)
              & setIn(X7,alive)
              & setIn(sK5,alive)
              & host(X7) != host(sK5) )
          & host(X7) != host(sK2)
          & host(X7) != host(sK4) )
      & host(sK2) = host(sK5)
      & host(sK4) = host(sK5) ) ),
    introduced(choice_axiom,[]) ).

fof(f146,plain,
    ( ? [X7,X6] :
        ( ? [X8] :
            ( elem(m_Down(X8),snoc(sK0,m_Ldr(sK2)))
            & elem(m_Down(X6),queue(host(X7)))
            & host(X7) = host(X8)
            & host(X6) = host(sK5)
            & setIn(X7,alive)
            & setIn(sK5,alive)
            & host(X7) != host(sK5) )
        & host(X7) != host(sK2)
        & host(X7) != host(sK4) )
   => ( ? [X8] :
          ( elem(m_Down(X8),snoc(sK0,m_Ldr(sK2)))
          & elem(m_Down(sK6),queue(host(sK7)))
          & host(X8) = host(sK7)
          & host(sK5) = host(sK6)
          & setIn(sK7,alive)
          & setIn(sK5,alive)
          & host(sK5) != host(sK7) )
      & host(sK2) != host(sK7)
      & host(sK4) != host(sK7) ) ),
    introduced(choice_axiom,[]) ).

fof(f147,plain,
    ( ? [X8] :
        ( elem(m_Down(X8),snoc(sK0,m_Ldr(sK2)))
        & elem(m_Down(sK6),queue(host(sK7)))
        & host(X8) = host(sK7)
        & host(sK5) = host(sK6)
        & setIn(sK7,alive)
        & setIn(sK5,alive)
        & host(sK5) != host(sK7) )
   => ( elem(m_Down(sK8),snoc(sK0,m_Ldr(sK2)))
      & elem(m_Down(sK6),queue(host(sK7)))
      & host(sK7) = host(sK8)
      & host(sK5) = host(sK6)
      & setIn(sK7,alive)
      & setIn(sK5,alive)
      & host(sK5) != host(sK7) ) ),
    introduced(choice_axiom,[]) ).

fof(f142,plain,
    ? [X0,X1,X2,X3] :
      ( ? [X4] :
          ( ? [X5] :
              ( ? [X6,X7] :
                  ( ? [X8] :
                      ( elem(m_Down(X8),snoc(X0,m_Ldr(X2)))
                      & elem(m_Down(X6),queue(host(X7)))
                      & host(X7) = host(X8)
                      & host(X5) = host(X6)
                      & setIn(X7,alive)
                      & setIn(X5,alive)
                      & host(X5) != host(X7) )
                  & host(X2) != host(X7)
                  & host(X4) != host(X7) )
              & host(X2) = host(X5)
              & host(X4) = host(X5) )
          & ( host(X3) = host(X4)
            | setIn(host(X4),index(acks,host(X2))) ) )
      & leq(nbr_proc,index(pendack,host(X2)))
      & 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(X11)))
          | ~ elem(m_Down(X12),queue(host(X9)))
          | host(X11) != host(X12)
          | host(X9) != host(X10)
          | ~ setIn(X11,alive)
          | ~ setIn(X9,alive)
          | host(X9) = host(X11) )
      & ! [X13,X14] :
          ( ~ setIn(X14,alive)
          | ~ setIn(X13,alive)
          | host(X13) != host(X14)
          | X13 = X14 )
      & ! [X15,X16] :
          ( ~ setIn(X16,alive)
          | host(X15) != host(X16)
          | ~ leq(X16,X15)
          | setIn(X15,alive) )
      & ! [X17,X18,X19] :
          ( ~ leq(host(X17),host(X19))
          | ~ elem(m_Ack(X19,X17),queue(host(X18))) )
      & ! [X20,X21] :
          ( ~ leq(host(X20),host(X21))
          | ~ elem(m_Halt(X21),queue(host(X20))) )
      & ! [X22,X23] :
          ( host(X23) != host(X22)
          | ~ elem(m_Down(X23),queue(host(X22))) )
      & ! [X24,X25] :
          ( ~ setIn(X25,alive)
          | ~ elem(m_Down(X25),queue(host(X24))) )
      & ! [X26,X27] :
          ( ~ elem(m_Down(X27),queue(host(X26)))
          | ~ setIn(X27,alive) ) ),
    inference(rectify,[],[f126]) ).

fof(f126,plain,
    ? [X0,X1,X2,X3] :
      ( ? [X23] :
          ( ? [X24] :
              ( ? [X25,X26] :
                  ( ? [X27] :
                      ( elem(m_Down(X27),snoc(X0,m_Ldr(X2)))
                      & elem(m_Down(X25),queue(host(X26)))
                      & host(X26) = host(X27)
                      & host(X24) = host(X25)
                      & setIn(X26,alive)
                      & setIn(X24,alive)
                      & host(X24) != host(X26) )
                  & host(X2) != host(X26)
                  & host(X23) != host(X26) )
              & host(X2) = host(X24)
              & host(X23) = host(X24) )
          & ( host(X3) = host(X23)
            | setIn(host(X23),index(acks,host(X2))) ) )
      & leq(nbr_proc,index(pendack,host(X2)))
      & 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(X6)))
          | ~ elem(m_Down(X7),queue(host(X4)))
          | host(X6) != host(X7)
          | host(X4) != host(X5)
          | ~ setIn(X6,alive)
          | ~ setIn(X4,alive)
          | host(X4) = host(X6) )
      & ! [X8,X9] :
          ( ~ setIn(X9,alive)
          | ~ setIn(X8,alive)
          | host(X8) != host(X9)
          | X8 = X9 )
      & ! [X10,X11] :
          ( ~ setIn(X11,alive)
          | host(X10) != host(X11)
          | ~ leq(X11,X10)
          | setIn(X10,alive) )
      & ! [X12,X13,X14] :
          ( ~ leq(host(X12),host(X14))
          | ~ elem(m_Ack(X14,X12),queue(host(X13))) )
      & ! [X15,X16] :
          ( ~ leq(host(X15),host(X16))
          | ~ elem(m_Halt(X16),queue(host(X15))) )
      & ! [X17,X18] :
          ( host(X18) != host(X17)
          | ~ elem(m_Down(X18),queue(host(X17))) )
      & ! [X19,X20] :
          ( ~ setIn(X20,alive)
          | ~ elem(m_Down(X20),queue(host(X19))) )
      & ! [X21,X22] :
          ( ~ elem(m_Down(X22),queue(host(X21)))
          | ~ setIn(X22,alive) ) ),
    inference(flattening,[],[f125]) ).

fof(f125,plain,
    ? [X0,X1,X2,X3] :
      ( ? [X23] :
          ( ? [X24] :
              ( ? [X25,X26] :
                  ( ? [X27] :
                      ( elem(m_Down(X27),snoc(X0,m_Ldr(X2)))
                      & elem(m_Down(X25),queue(host(X26)))
                      & host(X26) = host(X27)
                      & host(X24) = host(X25)
                      & setIn(X26,alive)
                      & setIn(X24,alive)
                      & host(X24) != host(X26) )
                  & host(X2) != host(X26)
                  & host(X23) != host(X26) )
              & host(X2) = host(X24)
              & host(X23) = host(X24) )
          & ( host(X3) = host(X23)
            | setIn(host(X23),index(acks,host(X2))) ) )
      & leq(nbr_proc,index(pendack,host(X2)))
      & 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(X6)))
          | ~ elem(m_Down(X7),queue(host(X4)))
          | host(X6) != host(X7)
          | host(X4) != host(X5)
          | ~ setIn(X6,alive)
          | ~ setIn(X4,alive)
          | host(X4) = host(X6) )
      & ! [X8,X9] :
          ( ~ setIn(X9,alive)
          | ~ setIn(X8,alive)
          | host(X8) != host(X9)
          | X8 = X9 )
      & ! [X10,X11] :
          ( ~ setIn(X11,alive)
          | host(X10) != host(X11)
          | ~ leq(X11,X10)
          | setIn(X10,alive) )
      & ! [X12,X13,X14] :
          ( ~ leq(host(X12),host(X14))
          | ~ elem(m_Ack(X14,X12),queue(host(X13))) )
      & ! [X15,X16] :
          ( ~ leq(host(X15),host(X16))
          | ~ elem(m_Halt(X16),queue(host(X15))) )
      & ! [X17,X18] :
          ( host(X18) != host(X17)
          | ~ elem(m_Down(X18),queue(host(X17))) )
      & ! [X19,X20] :
          ( ~ setIn(X20,alive)
          | ~ elem(m_Down(X20),queue(host(X19))) )
      & ! [X21,X22] :
          ( ~ elem(m_Down(X22),queue(host(X21)))
          | ~ setIn(X22,alive) ) ),
    inference(ennf_transformation,[],[f69]) ).

fof(f69,plain,
    ~ ! [X0,X1,X2,X3] :
        ( ( queue(host(X2)) = cons(m_Ack(X1,X3),X0)
          & ! [X4,X5,X6,X7] :
              ( ( host(X6) = host(X7)
                & host(X4) = host(X5)
                & setIn(X6,alive)
                & setIn(X4,alive)
                & host(X4) != host(X6) )
             => ~ ( elem(m_Down(X5),queue(host(X6)))
                  & elem(m_Down(X7),queue(host(X4))) ) )
          & ! [X8,X9] :
              ( ( host(X8) = host(X9)
                & X8 != X9 )
             => ( ~ setIn(X9,alive)
                | ~ setIn(X8,alive) ) )
          & ! [X10,X11] :
              ( ( host(X10) = host(X11)
                & leq(X11,X10)
                & ~ setIn(X10,alive) )
             => ~ setIn(X11,alive) )
          & ! [X12,X13,X14] :
              ( elem(m_Ack(X14,X12),queue(host(X13)))
             => ~ leq(host(X12),host(X14)) )
          & ! [X15,X16] :
              ( elem(m_Halt(X16),queue(host(X15)))
             => ~ leq(host(X15),host(X16)) )
          & ! [X17,X18] :
              ( elem(m_Down(X18),queue(host(X17)))
             => host(X18) != host(X17) )
          & ! [X19,X20] :
              ( elem(m_Down(X20),queue(host(X19)))
             => ~ setIn(X20,alive) )
          & ! [X21,X22] :
              ( setIn(X22,alive)
             => ~ elem(m_Down(X22),queue(host(X21))) ) )
       => ( setIn(X2,alive)
         => ( ( host(X3) = index(pendack,host(X2))
              & elec_2 = index(status,host(X2))
              & index(elid,host(X2)) = X1 )
           => ( leq(nbr_proc,index(pendack,host(X2)))
             => ! [X23] :
                  ( ( host(X3) = host(X23)
                    | setIn(host(X23),index(acks,host(X2))) )
                 => ! [X24] :
                      ( host(X23) = host(X24)
                     => ( host(X2) = host(X24)
                       => ! [X25,X26] :
                            ( host(X23) != host(X26)
                           => ( host(X2) != host(X26)
                             => ! [X27] :
                                  ( ( host(X26) = host(X27)
                                    & host(X24) = host(X25)
                                    & setIn(X26,alive)
                                    & setIn(X24,alive)
                                    & host(X24) != host(X26) )
                                 => ~ ( elem(m_Down(X27),snoc(X0,m_Ldr(X2)))
                                      & elem(m_Down(X25),queue(host(X26))) ) ) ) ) ) ) ) ) ) ) ),
    inference(rectify,[],[f68]) ).

fof(f68,negated_conjecture,
    ~ ! [X11,X12,X4,X5] :
        ( ( queue(host(X4)) = cons(m_Ack(X12,X5),X11)
          & ! [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,X13] :
              ( ( host(X6) = host(X13)
                & X6 != X13 )
             => ( ~ setIn(X13,alive)
                | ~ setIn(X6,alive) ) )
          & ! [X6,X13] :
              ( ( host(X6) = host(X13)
                & leq(X13,X6)
                & ~ setIn(X6,alive) )
             => ~ setIn(X13,alive) )
          & ! [X6,X14,X13] :
              ( elem(m_Ack(X13,X6),queue(host(X14)))
             => ~ leq(host(X6),host(X13)) )
          & ! [X6,X13] :
              ( elem(m_Halt(X13),queue(host(X6)))
             => ~ leq(host(X6),host(X13)) )
          & ! [X6,X13] :
              ( elem(m_Down(X13),queue(host(X6)))
             => host(X6) != host(X13) )
          & ! [X6,X13] :
              ( elem(m_Down(X13),queue(host(X6)))
             => ~ setIn(X13,alive) )
          & ! [X6,X13] :
              ( setIn(X13,alive)
             => ~ elem(m_Down(X13),queue(host(X6))) ) )
       => ( setIn(X4,alive)
         => ( ( host(X5) = index(pendack,host(X4))
              & elec_2 = index(status,host(X4))
              & index(elid,host(X4)) = X12 )
           => ( leq(nbr_proc,index(pendack,host(X4)))
             => ! [X6] :
                  ( ( host(X5) = host(X6)
                    | setIn(host(X6),index(acks,host(X4))) )
                 => ! [X16] :
                      ( host(X6) = host(X16)
                     => ( host(X4) = host(X16)
                       => ! [X17,X18] :
                            ( host(X6) != host(X18)
                           => ( host(X4) != host(X18)
                             => ! [X19] :
                                  ( ( host(X18) = host(X19)
                                    & host(X16) = host(X17)
                                    & setIn(X18,alive)
                                    & setIn(X16,alive)
                                    & host(X16) != host(X18) )
                                 => ~ ( elem(m_Down(X19),snoc(X11,m_Ldr(X4)))
                                      & elem(m_Down(X17),queue(host(X18))) ) ) ) ) ) ) ) ) ) ) ),
    inference(negated_conjecture,[],[f67]) ).

fof(f67,conjecture,
    ! [X11,X12,X4,X5] :
      ( ( queue(host(X4)) = cons(m_Ack(X12,X5),X11)
        & ! [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,X13] :
            ( ( host(X6) = host(X13)
              & X6 != X13 )
           => ( ~ setIn(X13,alive)
              | ~ setIn(X6,alive) ) )
        & ! [X6,X13] :
            ( ( host(X6) = host(X13)
              & leq(X13,X6)
              & ~ setIn(X6,alive) )
           => ~ setIn(X13,alive) )
        & ! [X6,X14,X13] :
            ( elem(m_Ack(X13,X6),queue(host(X14)))
           => ~ leq(host(X6),host(X13)) )
        & ! [X6,X13] :
            ( elem(m_Halt(X13),queue(host(X6)))
           => ~ leq(host(X6),host(X13)) )
        & ! [X6,X13] :
            ( elem(m_Down(X13),queue(host(X6)))
           => host(X6) != host(X13) )
        & ! [X6,X13] :
            ( elem(m_Down(X13),queue(host(X6)))
           => ~ setIn(X13,alive) )
        & ! [X6,X13] :
            ( setIn(X13,alive)
           => ~ elem(m_Down(X13),queue(host(X6))) ) )
     => ( setIn(X4,alive)
       => ( ( host(X5) = index(pendack,host(X4))
            & elec_2 = index(status,host(X4))
            & index(elid,host(X4)) = X12 )
         => ( leq(nbr_proc,index(pendack,host(X4)))
           => ! [X6] :
                ( ( host(X5) = host(X6)
                  | setIn(host(X6),index(acks,host(X4))) )
               => ! [X16] :
                    ( host(X6) = host(X16)
                   => ( host(X4) = host(X16)
                     => ! [X17,X18] :
                          ( host(X6) != host(X18)
                         => ( host(X4) != host(X18)
                           => ! [X19] :
                                ( ( host(X18) = host(X19)
                                  & host(X16) = host(X17)
                                  & setIn(X18,alive)
                                  & setIn(X16,alive)
                                  & host(X16) != host(X18) )
                               => ~ ( elem(m_Down(X19),snoc(X11,m_Ldr(X4)))
                                    & elem(m_Down(X17),queue(host(X18))) ) ) ) ) ) ) ) ) ) ) ),
    file('/export/starexec/sandbox/tmp/tmp.YsYA7vRgMS/Vampire---4.8_30498',conj) ).

fof(f992,plain,
    host(sK7) != host(sK8),
    inference(resolution,[],[f972,f468]) ).

fof(f468,plain,
    ! [X0] :
      ( ~ elem(m_Down(X0),queue(host(sK2)))
      | host(X0) != host(sK7) ),
    inference(subsumption_resolution,[],[f467,f195]) ).

fof(f195,plain,
    host(sK2) != host(sK7),
    inference(cnf_transformation,[],[f148]) ).

fof(f467,plain,
    ! [X0] :
      ( host(X0) != host(sK7)
      | ~ elem(m_Down(X0),queue(host(sK2)))
      | host(sK2) = host(sK7) ),
    inference(trivial_inequality_removal,[],[f465]) ).

fof(f465,plain,
    ! [X0] :
      ( host(X0) != host(sK7)
      | host(sK2) != host(sK2)
      | ~ elem(m_Down(X0),queue(host(sK2)))
      | host(sK2) = host(sK7) ),
    inference(resolution,[],[f463,f186]) ).

fof(f186,plain,
    setIn(sK2,alive),
    inference(cnf_transformation,[],[f148]) ).

fof(f463,plain,
    ! [X0,X1] :
      ( ~ setIn(X0,alive)
      | host(X1) != host(sK7)
      | host(X0) != host(sK2)
      | ~ elem(m_Down(X1),queue(host(X0)))
      | host(X0) = host(sK7) ),
    inference(forward_demodulation,[],[f462,f313]) ).

fof(f313,plain,
    host(sK2) = host(sK6),
    inference(backward_demodulation,[],[f199,f193]) ).

fof(f193,plain,
    host(sK2) = host(sK5),
    inference(cnf_transformation,[],[f148]) ).

fof(f199,plain,
    host(sK5) = host(sK6),
    inference(cnf_transformation,[],[f148]) ).

fof(f462,plain,
    ! [X0,X1] :
      ( host(X0) != host(sK6)
      | host(X1) != host(sK7)
      | ~ setIn(X0,alive)
      | ~ elem(m_Down(X1),queue(host(X0)))
      | host(X0) = host(sK7) ),
    inference(resolution,[],[f407,f201]) ).

fof(f201,plain,
    elem(m_Down(sK6),queue(host(sK7))),
    inference(cnf_transformation,[],[f148]) ).

fof(f407,plain,
    ! [X2,X0,X1] :
      ( ~ elem(m_Down(X0),queue(host(sK7)))
      | host(X0) != host(X1)
      | host(X2) != host(sK7)
      | ~ setIn(X1,alive)
      | ~ elem(m_Down(X2),queue(host(X1)))
      | host(X1) = host(sK7) ),
    inference(resolution,[],[f184,f198]) ).

fof(f198,plain,
    setIn(sK7,alive),
    inference(cnf_transformation,[],[f148]) ).

fof(f184,plain,
    ! [X10,X11,X9,X12] :
      ( ~ setIn(X9,alive)
      | ~ elem(m_Down(X12),queue(host(X9)))
      | host(X11) != host(X12)
      | host(X9) != host(X10)
      | ~ setIn(X11,alive)
      | ~ elem(m_Down(X10),queue(host(X11)))
      | host(X9) = host(X11) ),
    inference(cnf_transformation,[],[f148]) ).

fof(f972,plain,
    elem(m_Down(sK8),queue(host(sK2))),
    inference(resolution,[],[f971,f639]) ).

fof(f639,plain,
    ! [X0] :
      ( ~ elem(X0,sK0)
      | elem(X0,queue(host(sK2))) ),
    inference(superposition,[],[f227,f185]) ).

fof(f185,plain,
    queue(host(sK2)) = cons(m_Ack(sK1,sK3),sK0),
    inference(cnf_transformation,[],[f148]) ).

fof(f227,plain,
    ! [X2,X0,X1] :
      ( elem(X0,cons(X1,X2))
      | ~ elem(X0,X2) ),
    inference(cnf_transformation,[],[f162]) ).

fof(f162,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,[],[f161]) ).

fof(f161,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,[],[f78]) ).

fof(f78,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/sandbox/tmp/tmp.YsYA7vRgMS/Vampire---4.8_30498',axiom_46) ).

fof(f971,plain,
    elem(m_Down(sK8),sK0),
    inference(subsumption_resolution,[],[f967,f256]) ).

fof(f256,plain,
    ! [X0,X1] : m_Down(X0) != m_Ldr(X1),
    inference(cnf_transformation,[],[f94]) ).

fof(f94,plain,
    ! [X0,X1] : m_Down(X0) != m_Ldr(X1),
    inference(rectify,[],[f19]) ).

fof(f19,axiom,
    ! [X4,X5] : m_Down(X4) != m_Ldr(X5),
    file('/export/starexec/sandbox/tmp/tmp.YsYA7vRgMS/Vampire---4.8_30498',axiom_18) ).

fof(f967,plain,
    ( m_Ldr(sK2) = m_Down(sK8)
    | elem(m_Down(sK8),sK0) ),
    inference(resolution,[],[f222,f202]) ).

fof(f202,plain,
    elem(m_Down(sK8),snoc(sK0,m_Ldr(sK2))),
    inference(cnf_transformation,[],[f148]) ).

fof(f222,plain,
    ! [X2,X0,X1] :
      ( ~ elem(X0,snoc(X2,X1))
      | X0 = X1
      | elem(X0,X2) ),
    inference(cnf_transformation,[],[f160]) ).

fof(f160,plain,
    ! [X0,X1,X2] :
      ( ( elem(X0,snoc(X2,X1))
        | ( ~ elem(X0,X2)
          & X0 != X1 ) )
      & ( elem(X0,X2)
        | X0 = X1
        | ~ elem(X0,snoc(X2,X1)) ) ),
    inference(flattening,[],[f159]) ).

fof(f159,plain,
    ! [X0,X1,X2] :
      ( ( elem(X0,snoc(X2,X1))
        | ( ~ elem(X0,X2)
          & X0 != X1 ) )
      & ( elem(X0,X2)
        | X0 = X1
        | ~ elem(X0,snoc(X2,X1)) ) ),
    inference(nnf_transformation,[],[f77]) ).

fof(f77,plain,
    ! [X0,X1,X2] :
      ( elem(X0,snoc(X2,X1))
    <=> ( elem(X0,X2)
        | X0 = X1 ) ),
    inference(rectify,[],[f48]) ).

fof(f48,axiom,
    ! [X4,X5,X3] :
      ( elem(X4,snoc(X3,X5))
    <=> ( elem(X4,X3)
        | X4 = X5 ) ),
    file('/export/starexec/sandbox/tmp/tmp.YsYA7vRgMS/Vampire---4.8_30498',axiom_47) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem    : SWV449+1 : TPTP v8.1.2. Released v4.0.0.
% 0.07/0.15  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.15/0.36  % Computer : n014.cluster.edu
% 0.15/0.36  % Model    : x86_64 x86_64
% 0.15/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36  % Memory   : 8042.1875MB
% 0.15/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36  % CPULimit   : 300
% 0.15/0.36  % WCLimit    : 300
% 0.15/0.36  % DateTime   : Fri May  3 20:56:23 EDT 2024
% 0.15/0.36  % CPUTime    : 
% 0.15/0.36  This is a FOF_THM_RFO_SEQ problem
% 0.15/0.36  Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox/tmp/tmp.YsYA7vRgMS/Vampire---4.8_30498
% 0.57/0.74  % (30757)lrs+21_1:5_sil=2000:sos=on:urr=on:newcnf=on:slsq=on:i=83:slsql=off:bd=off:nm=2:ss=axioms:st=1.5:sp=const_min:gsp=on:rawr=on_0 on Vampire---4 for (2996ds/83Mi)
% 0.57/0.74  % (30758)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on Vampire---4 for (2996ds/56Mi)
% 0.57/0.74  % (30751)dis-1011_2:1_sil=2000:lsd=20:nwc=5.0:flr=on:mep=off:st=3.0:i=34:sd=1:ep=RS:ss=axioms_0 on Vampire---4 for (2996ds/34Mi)
% 0.57/0.74  % (30753)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.57/0.74  % (30752)lrs+1011_461:32768_sil=16000:irw=on:sp=frequency:lsd=20:fd=preordered:nwc=10.0:s2agt=32:alpa=false:cond=fast:s2a=on:i=51:s2at=3.0:awrs=decay:awrsf=691:bd=off:nm=20:fsr=off:amm=sco:uhcvi=on:rawr=on_0 on Vampire---4 for (2996ds/51Mi)
% 0.57/0.74  % (30754)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2996ds/33Mi)
% 0.57/0.74  % (30755)lrs+2_1:1_sil=16000:fde=none:sos=all:nwc=5.0:i=34:ep=RS:s2pl=on:lma=on:afp=100000_0 on Vampire---4 for (2996ds/34Mi)
% 0.57/0.74  % (30756)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2996ds/45Mi)
% 0.57/0.76  % (30754)Instruction limit reached!
% 0.57/0.76  % (30754)------------------------------
% 0.57/0.76  % (30754)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.76  % (30754)Termination reason: Unknown
% 0.57/0.76  % (30754)Termination phase: Saturation
% 0.57/0.76  
% 0.57/0.76  % (30754)Memory used [KB]: 1493
% 0.57/0.76  % (30754)Time elapsed: 0.020 s
% 0.57/0.76  % (30754)Instructions burned: 33 (million)
% 0.57/0.76  % (30754)------------------------------
% 0.57/0.76  % (30754)------------------------------
% 0.57/0.76  % (30751)Instruction limit reached!
% 0.57/0.76  % (30751)------------------------------
% 0.57/0.76  % (30751)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.76  % (30751)Termination reason: Unknown
% 0.57/0.76  % (30751)Termination phase: Saturation
% 0.57/0.76  
% 0.57/0.76  % (30751)Memory used [KB]: 1433
% 0.57/0.76  % (30751)Time elapsed: 0.022 s
% 0.57/0.76  % (30751)Instructions burned: 35 (million)
% 0.57/0.76  % (30751)------------------------------
% 0.57/0.76  % (30751)------------------------------
% 0.57/0.76  % (30755)Instruction limit reached!
% 0.57/0.76  % (30755)------------------------------
% 0.57/0.76  % (30755)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.76  % (30755)Termination reason: Unknown
% 0.57/0.76  % (30755)Termination phase: Saturation
% 0.57/0.76  
% 0.57/0.76  % (30755)Memory used [KB]: 1556
% 0.57/0.76  % (30755)Time elapsed: 0.022 s
% 0.57/0.76  % (30755)Instructions burned: 34 (million)
% 0.57/0.76  % (30755)------------------------------
% 0.57/0.76  % (30755)------------------------------
% 0.57/0.76  % (30759)lrs+21_1:16_sil=2000:sp=occurrence:urr=on:flr=on:i=55:sd=1:nm=0:ins=3:ss=included:rawr=on:br=off_0 on Vampire---4 for (2996ds/55Mi)
% 0.57/0.77  % (30756)Instruction limit reached!
% 0.57/0.77  % (30756)------------------------------
% 0.57/0.77  % (30756)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.77  % (30760)dis+3_25:4_sil=16000:sos=all:erd=off:i=50:s2at=4.0:bd=off:nm=60:sup=off:cond=on:av=off:ins=2:nwc=10.0:etr=on:to=lpo:s2agt=20:fd=off:bsr=unit_only:slsq=on:slsqr=28,19:awrs=converge:awrsf=500:tgt=ground:bs=unit_only_0 on Vampire---4 for (2996ds/50Mi)
% 0.57/0.77  % (30756)Termination reason: Unknown
% 0.57/0.77  % (30756)Termination phase: Saturation
% 0.57/0.77  
% 0.57/0.77  % (30756)Memory used [KB]: 1521
% 0.57/0.77  % (30756)Time elapsed: 0.026 s
% 0.57/0.77  % (30756)Instructions burned: 45 (million)
% 0.57/0.77  % (30756)------------------------------
% 0.57/0.77  % (30756)------------------------------
% 0.57/0.77  % (30761)lrs+1010_1:2_sil=4000:tgt=ground:nwc=10.0:st=2.0:i=208:sd=1:bd=off:ss=axioms_0 on Vampire---4 for (2996ds/208Mi)
% 0.57/0.77  % (30757)Instruction limit reached!
% 0.57/0.77  % (30757)------------------------------
% 0.57/0.77  % (30757)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.77  % (30757)Termination reason: Unknown
% 0.57/0.77  % (30757)Termination phase: Saturation
% 0.57/0.77  
% 0.57/0.77  % (30757)Memory used [KB]: 1911
% 0.57/0.77  % (30757)Time elapsed: 0.030 s
% 0.57/0.77  % (30757)Instructions burned: 85 (million)
% 0.57/0.77  % (30757)------------------------------
% 0.57/0.77  % (30757)------------------------------
% 0.57/0.77  % (30762)lrs-1011_1:1_sil=4000:plsq=on:plsqr=32,1:sp=frequency:plsql=on:nwc=10.0:i=52:aac=none:afr=on:ss=axioms:er=filter:sgt=16:rawr=on:etr=on:lma=on_0 on Vampire---4 for (2995ds/52Mi)
% 0.57/0.77  % (30763)lrs-1010_1:1_to=lpo:sil=2000:sp=reverse_arity:sos=on:urr=ec_only:i=518:sd=2:bd=off:ss=axioms:sgt=16_0 on Vampire---4 for (2995ds/518Mi)
% 0.57/0.77  % (30752)Instruction limit reached!
% 0.57/0.77  % (30752)------------------------------
% 0.57/0.77  % (30752)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.77  % (30752)Termination reason: Unknown
% 0.57/0.77  % (30752)Termination phase: Saturation
% 0.57/0.77  
% 0.57/0.77  % (30752)Memory used [KB]: 1708
% 0.57/0.77  % (30752)Time elapsed: 0.034 s
% 0.57/0.77  % (30752)Instructions burned: 51 (million)
% 0.57/0.77  % (30752)------------------------------
% 0.57/0.77  % (30752)------------------------------
% 0.57/0.77  % (30758)Instruction limit reached!
% 0.57/0.77  % (30758)------------------------------
% 0.57/0.77  % (30758)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.77  % (30758)Termination reason: Unknown
% 0.57/0.77  % (30758)Termination phase: Saturation
% 0.57/0.77  
% 0.57/0.77  % (30758)Memory used [KB]: 1967
% 0.57/0.77  % (30758)Time elapsed: 0.036 s
% 0.57/0.77  % (30758)Instructions burned: 57 (million)
% 0.57/0.77  % (30758)------------------------------
% 0.57/0.77  % (30758)------------------------------
% 0.79/0.78  % (30764)lrs+1011_87677:1048576_sil=8000:sos=on:spb=non_intro:nwc=10.0:kmz=on:i=42:ep=RS:nm=0:ins=1:uhcvi=on:rawr=on:fde=unused:afp=2000:afq=1.444:plsq=on:nicw=on_0 on Vampire---4 for (2995ds/42Mi)
% 0.79/0.78  % (30765)dis+1011_1258907:1048576_bsr=unit_only:to=lpo:drc=off:sil=2000:tgt=full:fde=none:sp=frequency:spb=goal:rnwc=on:nwc=6.70083:sac=on:newcnf=on:st=2:i=243:bs=unit_only:sd=3:afp=300:awrs=decay:awrsf=218:nm=16:ins=3:afq=3.76821:afr=on:ss=axioms:sgt=5:rawr=on:add=off:bsd=on_0 on Vampire---4 for (2995ds/243Mi)
% 0.79/0.78  % (30753)First to succeed.
% 0.79/0.78  % (30753)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-30747"
% 0.79/0.78  % (30753)Refutation found. Thanks to Tanya!
% 0.79/0.78  % SZS status Theorem for Vampire---4
% 0.79/0.78  % SZS output start Proof for Vampire---4
% See solution above
% 0.79/0.78  % (30753)------------------------------
% 0.79/0.78  % (30753)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.79/0.78  % (30753)Termination reason: Refutation
% 0.79/0.78  
% 0.79/0.78  % (30753)Memory used [KB]: 1578
% 0.79/0.78  % (30753)Time elapsed: 0.042 s
% 0.79/0.78  % (30753)Instructions burned: 75 (million)
% 0.79/0.78  % (30747)Success in time 0.424 s
% 0.79/0.78  % Vampire---4.8 exiting
%------------------------------------------------------------------------------