TSTP Solution File: SWV450+1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SWV450+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 : n013.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 0.59s 0.76s
% Output   : Refutation 0.68s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   19
%            Number of leaves      :    9
% Syntax   : Number of formulae    :   49 (  15 unt;   0 def)
%            Number of atoms       :  585 ( 266 equ)
%            Maximal formula atoms :   88 (  11 avg)
%            Number of connectives :  817 ( 281   ~; 176   |; 297   &)
%                                         (   4 <=>;  59  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   31 (   9 avg)
%            Maximal term depth    :    4 (   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   :  317 ( 255   !;  62   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1075,plain,
    $false,
    inference(subsumption_resolution,[],[f1073,f140]) ).

fof(f140,plain,
    elem(m_Down(sK8),sK0),
    inference(cnf_transformation,[],[f106]) ).

fof(f106,plain,
    ( elem(m_Down(sK6),snoc(queue(host(sK7)),m_Ldr(sK2)))
    & elem(m_Down(sK8),sK0)
    & 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])],[f100,f105,f104,f103,f102,f101]) ).

fof(f101,plain,
    ( ? [X0,X1,X2,X3] :
        ( ? [X4] :
            ( ? [X5] :
                ( ? [X6,X7] :
                    ( ? [X8] :
                        ( elem(m_Down(X6),snoc(queue(host(X7)),m_Ldr(X2)))
                        & elem(m_Down(X8),X0)
                        & 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(X6),snoc(queue(host(X7)),m_Ldr(sK2)))
                      & elem(m_Down(X8),sK0)
                      & 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(f102,plain,
    ( ? [X4] :
        ( ? [X5] :
            ( ? [X7,X6] :
                ( ? [X8] :
                    ( elem(m_Down(X6),snoc(queue(host(X7)),m_Ldr(sK2)))
                    & elem(m_Down(X8),sK0)
                    & 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(X6),snoc(queue(host(X7)),m_Ldr(sK2)))
                  & elem(m_Down(X8),sK0)
                  & 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(f103,plain,
    ( ? [X5] :
        ( ? [X7,X6] :
            ( ? [X8] :
                ( elem(m_Down(X6),snoc(queue(host(X7)),m_Ldr(sK2)))
                & elem(m_Down(X8),sK0)
                & 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(X6),snoc(queue(host(X7)),m_Ldr(sK2)))
              & elem(m_Down(X8),sK0)
              & 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(f104,plain,
    ( ? [X7,X6] :
        ( ? [X8] :
            ( elem(m_Down(X6),snoc(queue(host(X7)),m_Ldr(sK2)))
            & elem(m_Down(X8),sK0)
            & 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(sK6),snoc(queue(host(sK7)),m_Ldr(sK2)))
          & elem(m_Down(X8),sK0)
          & 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(f105,plain,
    ( ? [X8] :
        ( elem(m_Down(sK6),snoc(queue(host(sK7)),m_Ldr(sK2)))
        & elem(m_Down(X8),sK0)
        & host(X8) = host(sK7)
        & host(sK5) = host(sK6)
        & setIn(sK7,alive)
        & setIn(sK5,alive)
        & host(sK5) != host(sK7) )
   => ( elem(m_Down(sK6),snoc(queue(host(sK7)),m_Ldr(sK2)))
      & elem(m_Down(sK8),sK0)
      & host(sK7) = host(sK8)
      & host(sK5) = host(sK6)
      & setIn(sK7,alive)
      & setIn(sK5,alive)
      & host(sK5) != host(sK7) ) ),
    introduced(choice_axiom,[]) ).

fof(f100,plain,
    ? [X0,X1,X2,X3] :
      ( ? [X4] :
          ( ? [X5] :
              ( ? [X6,X7] :
                  ( ? [X8] :
                      ( elem(m_Down(X6),snoc(queue(host(X7)),m_Ldr(X2)))
                      & elem(m_Down(X8),X0)
                      & 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,[],[f94]) ).

fof(f94,plain,
    ? [X0,X1,X2,X3] :
      ( ? [X23] :
          ( ? [X24] :
              ( ? [X25,X26] :
                  ( ? [X27] :
                      ( elem(m_Down(X25),snoc(queue(host(X26)),m_Ldr(X2)))
                      & elem(m_Down(X27),X0)
                      & 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,[],[f93]) ).

fof(f93,plain,
    ? [X0,X1,X2,X3] :
      ( ? [X23] :
          ( ? [X24] :
              ( ? [X25,X26] :
                  ( ? [X27] :
                      ( elem(m_Down(X25),snoc(queue(host(X26)),m_Ldr(X2)))
                      & elem(m_Down(X27),X0)
                      & 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(X25),snoc(queue(host(X26)),m_Ldr(X2)))
                                      & elem(m_Down(X27),X0) ) ) ) ) ) ) ) ) ) ) ),
    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(X17),snoc(queue(host(X18)),m_Ldr(X4)))
                                      & elem(m_Down(X19),X11) ) ) ) ) ) ) ) ) ) ) ),
    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(X17),snoc(queue(host(X18)),m_Ldr(X4)))
                                    & elem(m_Down(X19),X11) ) ) ) ) ) ) ) ) ) ) ),
    file('/export/starexec/sandbox/tmp/tmp.Cq7QfNIFM0/Vampire---4.8_2365',conj) ).

fof(f1073,plain,
    ~ elem(m_Down(sK8),sK0),
    inference(trivial_inequality_removal,[],[f1071]) ).

fof(f1071,plain,
    ( host(sK7) != host(sK7)
    | ~ elem(m_Down(sK8),sK0) ),
    inference(superposition,[],[f1066,f139]) ).

fof(f139,plain,
    host(sK7) = host(sK8),
    inference(cnf_transformation,[],[f106]) ).

fof(f1066,plain,
    ! [X0] :
      ( host(X0) != host(sK7)
      | ~ elem(m_Down(X0),sK0) ),
    inference(subsumption_resolution,[],[f1065,f132]) ).

fof(f132,plain,
    host(sK2) = host(sK5),
    inference(cnf_transformation,[],[f106]) ).

fof(f1065,plain,
    ! [X0] :
      ( host(sK2) != host(sK5)
      | host(X0) != host(sK7)
      | ~ elem(m_Down(X0),sK0) ),
    inference(forward_demodulation,[],[f1064,f138]) ).

fof(f138,plain,
    host(sK5) = host(sK6),
    inference(cnf_transformation,[],[f106]) ).

fof(f1064,plain,
    ! [X0] :
      ( host(X0) != host(sK7)
      | host(sK2) != host(sK6)
      | ~ elem(m_Down(X0),sK0) ),
    inference(subsumption_resolution,[],[f1063,f134]) ).

fof(f134,plain,
    host(sK2) != host(sK7),
    inference(cnf_transformation,[],[f106]) ).

fof(f1063,plain,
    ! [X0] :
      ( host(X0) != host(sK7)
      | host(sK2) != host(sK6)
      | host(sK2) = host(sK7)
      | ~ elem(m_Down(X0),sK0) ),
    inference(subsumption_resolution,[],[f1056,f137]) ).

fof(f137,plain,
    setIn(sK7,alive),
    inference(cnf_transformation,[],[f106]) ).

fof(f1056,plain,
    ! [X0] :
      ( host(X0) != host(sK7)
      | host(sK2) != host(sK6)
      | ~ setIn(sK7,alive)
      | host(sK2) = host(sK7)
      | ~ elem(m_Down(X0),sK0) ),
    inference(resolution,[],[f852,f227]) ).

fof(f227,plain,
    elem(m_Down(sK6),queue(host(sK7))),
    inference(subsumption_resolution,[],[f226,f169]) ).

fof(f169,plain,
    ! [X0,X1] : m_Down(X0) != m_Ldr(X1),
    inference(cnf_transformation,[],[f87]) ).

fof(f87,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.Cq7QfNIFM0/Vampire---4.8_2365',axiom_18) ).

fof(f226,plain,
    ( m_Ldr(sK2) = m_Down(sK6)
    | elem(m_Down(sK6),queue(host(sK7))) ),
    inference(resolution,[],[f141,f146]) ).

fof(f146,plain,
    ! [X2,X0,X1] :
      ( ~ elem(X0,snoc(X2,X1))
      | X0 = X1
      | elem(X0,X2) ),
    inference(cnf_transformation,[],[f108]) ).

fof(f108,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,[],[f107]) ).

fof(f107,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,[],[f74]) ).

fof(f74,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.Cq7QfNIFM0/Vampire---4.8_2365',axiom_47) ).

fof(f141,plain,
    elem(m_Down(sK6),snoc(queue(host(sK7)),m_Ldr(sK2))),
    inference(cnf_transformation,[],[f106]) ).

fof(f852,plain,
    ! [X2,X0,X1] :
      ( ~ elem(m_Down(X0),queue(host(X1)))
      | host(X2) != host(X1)
      | host(X0) != host(sK2)
      | ~ setIn(X1,alive)
      | host(X1) = host(sK2)
      | ~ elem(m_Down(X2),sK0) ),
    inference(resolution,[],[f481,f151]) ).

fof(f151,plain,
    ! [X2,X0,X1] :
      ( elem(X0,cons(X1,X2))
      | ~ elem(X0,X2) ),
    inference(cnf_transformation,[],[f110]) ).

fof(f110,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,[],[f109]) ).

fof(f109,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,[],[f75]) ).

fof(f75,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.Cq7QfNIFM0/Vampire---4.8_2365',axiom_46) ).

fof(f481,plain,
    ! [X2,X0,X1] :
      ( ~ elem(m_Down(X0),cons(m_Ack(sK1,sK3),sK0))
      | ~ elem(m_Down(X1),queue(host(X2)))
      | host(X0) != host(X2)
      | host(X1) != host(sK2)
      | ~ setIn(X2,alive)
      | host(X2) = host(sK2) ),
    inference(forward_demodulation,[],[f480,f124]) ).

fof(f124,plain,
    queue(host(sK2)) = cons(m_Ack(sK1,sK3),sK0),
    inference(cnf_transformation,[],[f106]) ).

fof(f480,plain,
    ! [X2,X0,X1] :
      ( ~ elem(m_Down(X0),queue(host(sK2)))
      | ~ elem(m_Down(X1),queue(host(X2)))
      | host(X0) != host(X2)
      | host(X1) != host(sK2)
      | ~ setIn(X2,alive)
      | host(X2) = host(sK2) ),
    inference(subsumption_resolution,[],[f473,f136]) ).

fof(f136,plain,
    setIn(sK5,alive),
    inference(cnf_transformation,[],[f106]) ).

fof(f473,plain,
    ! [X2,X0,X1] :
      ( ~ elem(m_Down(X0),queue(host(sK2)))
      | ~ elem(m_Down(X1),queue(host(X2)))
      | host(X0) != host(X2)
      | host(X1) != host(sK2)
      | ~ setIn(X2,alive)
      | ~ setIn(sK5,alive)
      | host(X2) = host(sK2) ),
    inference(superposition,[],[f123,f132]) ).

fof(f123,plain,
    ! [X10,X11,X9,X12] :
      ( ~ elem(m_Down(X12),queue(host(X9)))
      | ~ elem(m_Down(X10),queue(host(X11)))
      | host(X11) != host(X12)
      | host(X9) != host(X10)
      | ~ setIn(X11,alive)
      | ~ setIn(X9,alive)
      | host(X9) = host(X11) ),
    inference(cnf_transformation,[],[f106]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem    : SWV450+1 : TPTP v8.1.2. Released v4.0.0.
% 0.07/0.14  % 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
% 0.14/0.34  % Computer : n013.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit   : 300
% 0.14/0.34  % WCLimit    : 300
% 0.14/0.34  % DateTime   : Fri May  3 21:11:38 EDT 2024
% 0.14/0.34  % CPUTime    : 
% 0.14/0.34  This is a FOF_THM_RFO_SEQ problem
% 0.14/0.34  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.Cq7QfNIFM0/Vampire---4.8_2365
% 0.53/0.73  % (2473)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)
% 0.53/0.73  % (2480)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)
% 0.53/0.73  % (2477)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)
% 0.53/0.73  % (2476)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)
% 0.53/0.73  % (2475)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.53/0.73  % (2474)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)
% 0.53/0.73  % (2478)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)
% 0.53/0.73  % (2479)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)
% 0.53/0.74  % (2473)Instruction limit reached!
% 0.53/0.74  % (2473)------------------------------
% 0.53/0.74  % (2473)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.53/0.74  % (2473)Termination reason: Unknown
% 0.53/0.74  % (2473)Termination phase: Saturation
% 0.53/0.74  
% 0.53/0.74  % (2473)Memory used [KB]: 1435
% 0.53/0.74  % (2473)Time elapsed: 0.013 s
% 0.53/0.74  % (2473)Instructions burned: 34 (million)
% 0.53/0.74  % (2473)------------------------------
% 0.53/0.74  % (2473)------------------------------
% 0.59/0.74  % (2481)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)
% 0.59/0.75  % (2480)Instruction limit reached!
% 0.59/0.75  % (2480)------------------------------
% 0.59/0.75  % (2480)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.75  % (2480)Termination reason: Unknown
% 0.59/0.75  % (2480)Termination phase: Saturation
% 0.59/0.75  
% 0.59/0.75  % (2480)Memory used [KB]: 1971
% 0.59/0.75  % (2480)Time elapsed: 0.020 s
% 0.59/0.75  % (2480)Instructions burned: 56 (million)
% 0.59/0.75  % (2480)------------------------------
% 0.59/0.75  % (2480)------------------------------
% 0.59/0.75  % (2476)Instruction limit reached!
% 0.59/0.75  % (2476)------------------------------
% 0.59/0.75  % (2476)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.75  % (2476)Termination reason: Unknown
% 0.59/0.75  % (2476)Termination phase: Saturation
% 0.59/0.75  
% 0.59/0.75  % (2476)Memory used [KB]: 1493
% 0.59/0.75  % (2476)Time elapsed: 0.021 s
% 0.59/0.75  % (2476)Instructions burned: 34 (million)
% 0.59/0.75  % (2476)------------------------------
% 0.59/0.75  % (2476)------------------------------
% 0.59/0.75  % (2478)First to succeed.
% 0.59/0.75  % (2482)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)
% 0.59/0.75  % (2477)Instruction limit reached!
% 0.59/0.75  % (2477)------------------------------
% 0.59/0.75  % (2477)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.75  % (2477)Termination reason: Unknown
% 0.59/0.75  % (2477)Termination phase: Saturation
% 0.59/0.75  
% 0.59/0.75  % (2477)Memory used [KB]: 1580
% 0.59/0.75  % (2477)Time elapsed: 0.023 s
% 0.59/0.75  % (2477)Instructions burned: 35 (million)
% 0.59/0.75  % (2477)------------------------------
% 0.59/0.75  % (2477)------------------------------
% 0.59/0.75  % (2478)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2472"
% 0.59/0.76  % (2478)Refutation found. Thanks to Tanya!
% 0.59/0.76  % SZS status Theorem for Vampire---4
% 0.59/0.76  % SZS output start Proof for Vampire---4
% See solution above
% 0.68/0.76  % (2478)------------------------------
% 0.68/0.76  % (2478)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.68/0.76  % (2478)Termination reason: Refutation
% 0.68/0.76  
% 0.68/0.76  % (2478)Memory used [KB]: 1343
% 0.68/0.76  % (2478)Time elapsed: 0.024 s
% 0.68/0.76  % (2478)Instructions burned: 40 (million)
% 0.68/0.76  % (2472)Success in time 0.393 s
% 0.68/0.76  % Vampire---4.8 exiting
%------------------------------------------------------------------------------