TSTP Solution File: SWV478+1 by Vampire-SAT---4.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.9
% Problem  : SWV478+1 : TPTP v8.2.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire %s %d SAT

% Computer : n025.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 : Mon Jun 24 17:59:06 EDT 2024

% Result   : Theorem 23.96s 3.80s
% Output   : Refutation 23.96s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   18
%            Number of leaves      :   10
% Syntax   : Number of formulae    :   98 (  47 unt;   0 def)
%            Number of atoms       :  819 ( 352 equ)
%            Maximal formula atoms :  126 (   8 avg)
%            Number of connectives : 1067 ( 346   ~; 268   |; 357   &)
%                                         (   9 <=>;  87  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   31 (   5 avg)
%            Maximal term depth    :    4 (   2 avg)
%            Number of predicates  :    6 (   4 usr;   2 prp; 0-2 aty)
%            Number of functors    :   30 (  30 usr;  21 con; 0-2 aty)
%            Number of variables   :  350 ( 330   !;  20   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f9127,plain,
    $false,
    inference(avatar_sat_refutation,[],[f9073,f9126]) ).

fof(f9126,plain,
    ~ spl13_30,
    inference(avatar_contradiction_clause,[],[f9125]) ).

fof(f9125,plain,
    ( $false
    | ~ spl13_30 ),
    inference(global_subsumption,[],[f1783,f4544,f9104]) ).

fof(f9104,plain,
    ( ~ leq(host(sK3),host(sK1))
    | ~ spl13_30 ),
    inference(subsumption_resolution,[],[f9090,f294]) ).

fof(f294,plain,
    host(sK3) != host(sK1),
    inference(superposition,[],[f144,f143]) ).

fof(f143,plain,
    host(sK9) = host(sK3),
    inference(cnf_transformation,[],[f126]) ).

fof(f126,plain,
    ? [X0,X2,X3] :
      ( ? [X50] :
          ( ? [X51] :
              ( ? [X52,X53,X54] :
                  ( host(X2) = host(X51)
                  & setIn(X51,alive)
                  & elec_1 = index(status,host(X54))
                  & s(host(X54)) = host(X52)
                  & elem(m_Down(X53),snoc(queue(host(X54)),m_Ldr(X2)))
                  & elem(m_Down(X52),snoc(queue(host(X54)),m_Ldr(X2)))
                  & leq(nbr_proc,s(host(X54)))
                  & setIn(X54,alive)
                  & ! [X55] :
                      ( host(X53) = X55
                      | setIn(X55,index(down,host(X54)))
                      | ~ leq(s(zero),X55)
                      | leq(host(X54),X55) )
                  & host(X2) != host(X54)
                  & host(X50) = host(X54) )
              & host(X2) = host(X51) )
          & setIn(host(X50),index(acks,host(X2))) )
      & leq(nbr_proc,index(pendack,host(X2)))
      & host(X3) = index(pendack,host(X2))
      & elec_2 = index(status,host(X2))
      & leq(host(X2),host(X3))
      & setIn(X2,alive)
      & queue(host(X2)) = cons(m_Down(X3),X0)
      & ! [X4,X5,X6,X7] :
          ( norm != index(status,host(X4))
          | host(X4) != index(ldr,host(X4))
          | ~ setIn(X4,alive)
          | elec_1 != index(status,host(X7))
          | host(X5) != s(host(X7))
          | ~ elem(m_Down(X5),queue(host(X7)))
          | ~ elem(m_Down(X6),queue(host(X7)))
          | ~ leq(nbr_proc,s(host(X7)))
          | ~ setIn(X7,alive)
          | ? [X8] :
              ( host(X6) != X8
              & ~ setIn(X8,index(down,host(X7)))
              & leq(s(zero),X8)
              & ~ leq(host(X7),X8) ) )
      & ! [X9,X10,X11,X12] :
          ( ~ elem(m_Ack(X9,X10),queue(host(X9)))
          | elec_1 != index(status,host(X12))
          | elec_2 != index(status,host(X9))
          | host(X12) != host(X10)
          | ~ elem(m_Down(X11),queue(host(X12)))
          | ~ leq(host(X9),host(X12))
          | ~ setIn(X9,alive)
          | ? [X13] :
              ( host(X11) != X13
              & ~ setIn(X13,index(down,host(X12)))
              & leq(s(zero),X13)
              & ~ leq(host(X12),X13) ) )
      & ! [X14,X15,X16] :
          ( host(X15) != index(ldr,host(X15))
          | norm != index(status,host(X15))
          | ~ setIn(X15,alive)
          | host(X15) != host(index(elid,host(X16)))
          | wait != index(status,host(X16))
          | host(X14) != host(X15)
          | ~ elem(m_Down(X14),queue(host(X16)))
          | ~ setIn(X16,alive)
          | host(X15) = host(X16) )
      & ! [X17,X18,X19] :
          ( host(X18) != index(ldr,host(X18))
          | norm != index(status,host(X18))
          | ~ setIn(X18,alive)
          | host(X18) != index(ldr,host(X19))
          | norm != index(status,host(X19))
          | host(X18) != host(X17)
          | ~ elem(m_Down(X17),queue(host(X19)))
          | ~ setIn(X19,alive)
          | host(X19) = host(X18) )
      & ! [X20,X21,X22,X23] :
          ( ~ setIn(host(X21),index(down,host(X22)))
          | ~ elem(m_Down(X23),queue(host(X20)))
          | host(X23) != host(X22)
          | host(X20) != host(X21)
          | ~ setIn(X22,alive)
          | ~ setIn(X20,alive)
          | host(X22) = host(X20) )
      & ! [X24,X25,X26,X27] :
          ( ~ elem(m_Down(X25),queue(host(X26)))
          | ~ elem(m_Down(X27),queue(host(X24)))
          | host(X27) != host(X26)
          | host(X24) != host(X25)
          | ~ setIn(X26,alive)
          | ~ setIn(X24,alive)
          | host(X26) = host(X24) )
      & ! [X28,X29,X30] :
          ( norm != index(status,host(X28))
          | host(X28) != index(ldr,host(X28))
          | ~ setIn(X28,alive)
          | host(X28) != host(X29)
          | ~ elem(m_Down(X29),queue(host(X30)))
          | ~ setIn(X30,alive)
          | leq(host(X29),host(X30)) )
      & ! [X31,X32] :
          ( X31 = X32
          | host(X32) != index(ldr,host(X32))
          | norm != index(status,host(X32))
          | norm != index(status,host(X31))
          | host(X31) != index(ldr,host(X31))
          | ~ setIn(X32,alive)
          | ~ setIn(X31,alive) )
      & ! [X33,X34,X35] :
          ( ~ elem(m_Down(X34),queue(host(X33)))
          | ~ setIn(X33,alive)
          | host(X35) != index(ldr,host(X35))
          | norm != index(status,host(X35))
          | host(X35) != host(X34)
          | ~ setIn(X35,alive) )
      & ! [X36,X37,X38] :
          ( leq(index(pendack,host(X38)),host(X36))
          | elec_2 != index(status,host(X38))
          | host(X38) != host(X37)
          | ~ elem(m_Down(X37),queue(host(X36)))
          | ~ setIn(X38,alive)
          | ~ setIn(X36,alive) )
      & ! [X39,X40] :
          ( ~ setIn(host(X40),index(down,host(X39)))
          | ~ setIn(X39,alive)
          | host(X40) != index(ldr,host(X40))
          | norm != index(status,host(X40))
          | ~ setIn(X40,alive) )
      & ! [X41,X42] :
          ( leq(index(pendack,host(X42)),host(X41))
          | elec_2 != index(status,host(X42))
          | ~ setIn(host(X42),index(down,host(X41)))
          | ~ setIn(X42,alive)
          | ~ setIn(X41,alive) )
      & ! [X43] :
          ( index(elid,host(X43)) = X43
          | ~ setIn(X43,alive)
          | ( elec_2 != index(status,host(X43))
            & elec_1 != index(status,host(X43)) ) )
      & ! [X44,X45] :
          ( ~ setIn(X45,alive)
          | ~ setIn(X44,alive)
          | host(X44) != host(X45)
          | X44 = X45 )
      & ! [X46,X47] :
          ( host(X46) != host(X47)
          | ~ elem(m_Down(X47),queue(host(X46))) )
      & ! [X48,X49] :
          ( ~ leq(host(X48),host(X49))
          | ~ elem(m_Ldr(X49),queue(host(X48))) ) ),
    inference(flattening,[],[f125]) ).

fof(f125,plain,
    ? [X0,X2,X3] :
      ( ? [X50] :
          ( ? [X51] :
              ( ? [X52,X53,X54] :
                  ( host(X2) = host(X51)
                  & setIn(X51,alive)
                  & elec_1 = index(status,host(X54))
                  & s(host(X54)) = host(X52)
                  & elem(m_Down(X53),snoc(queue(host(X54)),m_Ldr(X2)))
                  & elem(m_Down(X52),snoc(queue(host(X54)),m_Ldr(X2)))
                  & leq(nbr_proc,s(host(X54)))
                  & setIn(X54,alive)
                  & ! [X55] :
                      ( host(X53) = X55
                      | setIn(X55,index(down,host(X54)))
                      | ~ leq(s(zero),X55)
                      | leq(host(X54),X55) )
                  & host(X2) != host(X54)
                  & host(X50) = host(X54) )
              & host(X2) = host(X51) )
          & setIn(host(X50),index(acks,host(X2))) )
      & leq(nbr_proc,index(pendack,host(X2)))
      & host(X3) = index(pendack,host(X2))
      & elec_2 = index(status,host(X2))
      & leq(host(X2),host(X3))
      & setIn(X2,alive)
      & queue(host(X2)) = cons(m_Down(X3),X0)
      & ! [X4,X5,X6,X7] :
          ( norm != index(status,host(X4))
          | host(X4) != index(ldr,host(X4))
          | ~ setIn(X4,alive)
          | elec_1 != index(status,host(X7))
          | host(X5) != s(host(X7))
          | ~ elem(m_Down(X5),queue(host(X7)))
          | ~ elem(m_Down(X6),queue(host(X7)))
          | ~ leq(nbr_proc,s(host(X7)))
          | ~ setIn(X7,alive)
          | ? [X8] :
              ( host(X6) != X8
              & ~ setIn(X8,index(down,host(X7)))
              & leq(s(zero),X8)
              & ~ leq(host(X7),X8) ) )
      & ! [X9,X10,X11,X12] :
          ( ~ elem(m_Ack(X9,X10),queue(host(X9)))
          | elec_1 != index(status,host(X12))
          | elec_2 != index(status,host(X9))
          | host(X12) != host(X10)
          | ~ elem(m_Down(X11),queue(host(X12)))
          | ~ leq(host(X9),host(X12))
          | ~ setIn(X9,alive)
          | ? [X13] :
              ( host(X11) != X13
              & ~ setIn(X13,index(down,host(X12)))
              & leq(s(zero),X13)
              & ~ leq(host(X12),X13) ) )
      & ! [X14,X15,X16] :
          ( host(X15) != index(ldr,host(X15))
          | norm != index(status,host(X15))
          | ~ setIn(X15,alive)
          | host(X15) != host(index(elid,host(X16)))
          | wait != index(status,host(X16))
          | host(X14) != host(X15)
          | ~ elem(m_Down(X14),queue(host(X16)))
          | ~ setIn(X16,alive)
          | host(X15) = host(X16) )
      & ! [X17,X18,X19] :
          ( host(X18) != index(ldr,host(X18))
          | norm != index(status,host(X18))
          | ~ setIn(X18,alive)
          | host(X18) != index(ldr,host(X19))
          | norm != index(status,host(X19))
          | host(X18) != host(X17)
          | ~ elem(m_Down(X17),queue(host(X19)))
          | ~ setIn(X19,alive)
          | host(X19) = host(X18) )
      & ! [X20,X21,X22,X23] :
          ( ~ setIn(host(X21),index(down,host(X22)))
          | ~ elem(m_Down(X23),queue(host(X20)))
          | host(X23) != host(X22)
          | host(X20) != host(X21)
          | ~ setIn(X22,alive)
          | ~ setIn(X20,alive)
          | host(X22) = host(X20) )
      & ! [X24,X25,X26,X27] :
          ( ~ elem(m_Down(X25),queue(host(X26)))
          | ~ elem(m_Down(X27),queue(host(X24)))
          | host(X27) != host(X26)
          | host(X24) != host(X25)
          | ~ setIn(X26,alive)
          | ~ setIn(X24,alive)
          | host(X26) = host(X24) )
      & ! [X28,X29,X30] :
          ( norm != index(status,host(X28))
          | host(X28) != index(ldr,host(X28))
          | ~ setIn(X28,alive)
          | host(X28) != host(X29)
          | ~ elem(m_Down(X29),queue(host(X30)))
          | ~ setIn(X30,alive)
          | leq(host(X29),host(X30)) )
      & ! [X31,X32] :
          ( X31 = X32
          | host(X32) != index(ldr,host(X32))
          | norm != index(status,host(X32))
          | norm != index(status,host(X31))
          | host(X31) != index(ldr,host(X31))
          | ~ setIn(X32,alive)
          | ~ setIn(X31,alive) )
      & ! [X33,X34,X35] :
          ( ~ elem(m_Down(X34),queue(host(X33)))
          | ~ setIn(X33,alive)
          | host(X35) != index(ldr,host(X35))
          | norm != index(status,host(X35))
          | host(X35) != host(X34)
          | ~ setIn(X35,alive) )
      & ! [X36,X37,X38] :
          ( leq(index(pendack,host(X38)),host(X36))
          | elec_2 != index(status,host(X38))
          | host(X38) != host(X37)
          | ~ elem(m_Down(X37),queue(host(X36)))
          | ~ setIn(X38,alive)
          | ~ setIn(X36,alive) )
      & ! [X39,X40] :
          ( ~ setIn(host(X40),index(down,host(X39)))
          | ~ setIn(X39,alive)
          | host(X40) != index(ldr,host(X40))
          | norm != index(status,host(X40))
          | ~ setIn(X40,alive) )
      & ! [X41,X42] :
          ( leq(index(pendack,host(X42)),host(X41))
          | elec_2 != index(status,host(X42))
          | ~ setIn(host(X42),index(down,host(X41)))
          | ~ setIn(X42,alive)
          | ~ setIn(X41,alive) )
      & ! [X43] :
          ( index(elid,host(X43)) = X43
          | ~ setIn(X43,alive)
          | ( elec_2 != index(status,host(X43))
            & elec_1 != index(status,host(X43)) ) )
      & ! [X44,X45] :
          ( ~ setIn(X45,alive)
          | ~ setIn(X44,alive)
          | host(X44) != host(X45)
          | X44 = X45 )
      & ! [X46,X47] :
          ( host(X46) != host(X47)
          | ~ elem(m_Down(X47),queue(host(X46))) )
      & ! [X48,X49] :
          ( ~ leq(host(X48),host(X49))
          | ~ elem(m_Ldr(X49),queue(host(X48))) ) ),
    inference(ennf_transformation,[],[f69]) ).

fof(f69,plain,
    ~ ! [X0,X2,X3] :
        ( ( queue(host(X2)) = cons(m_Down(X3),X0)
          & ! [X4,X5,X6,X7] :
              ( ( elec_1 = index(status,host(X7))
                & host(X5) = s(host(X7))
                & elem(m_Down(X5),queue(host(X7)))
                & elem(m_Down(X6),queue(host(X7)))
                & leq(nbr_proc,s(host(X7)))
                & setIn(X7,alive)
                & ! [X8] :
                    ( ( leq(s(zero),X8)
                      & ~ leq(host(X7),X8) )
                   => ( host(X6) = X8
                      | setIn(X8,index(down,host(X7))) ) ) )
             => ~ ( norm = index(status,host(X4))
                  & host(X4) = index(ldr,host(X4))
                  & setIn(X4,alive) ) )
          & ! [X9,X10,X11,X12] :
              ( ( elec_1 = index(status,host(X12))
                & elec_2 = index(status,host(X9))
                & host(X12) = host(X10)
                & elem(m_Down(X11),queue(host(X12)))
                & leq(host(X9),host(X12))
                & setIn(X9,alive)
                & ! [X13] :
                    ( ( leq(s(zero),X13)
                      & ~ leq(host(X12),X13) )
                   => ( host(X11) = X13
                      | setIn(X13,index(down,host(X12))) ) ) )
             => ~ elem(m_Ack(X9,X10),queue(host(X9))) )
          & ! [X14,X15,X16] :
              ( ( host(X15) = host(index(elid,host(X16)))
                & wait = index(status,host(X16))
                & host(X14) = host(X15)
                & elem(m_Down(X14),queue(host(X16)))
                & setIn(X16,alive)
                & host(X15) != host(X16) )
             => ~ ( host(X15) = index(ldr,host(X15))
                  & norm = index(status,host(X15))
                  & setIn(X15,alive) ) )
          & ! [X17,X18,X19] :
              ( ( host(X18) = index(ldr,host(X19))
                & norm = index(status,host(X19))
                & host(X18) = host(X17)
                & elem(m_Down(X17),queue(host(X19)))
                & setIn(X19,alive)
                & host(X19) != host(X18) )
             => ~ ( host(X18) = index(ldr,host(X18))
                  & norm = index(status,host(X18))
                  & setIn(X18,alive) ) )
          & ! [X20,X21,X22,X23] :
              ( ( host(X23) = host(X22)
                & host(X20) = host(X21)
                & setIn(X22,alive)
                & setIn(X20,alive)
                & host(X22) != host(X20) )
             => ~ ( setIn(host(X21),index(down,host(X22)))
                  & elem(m_Down(X23),queue(host(X20))) ) )
          & ! [X24,X25,X26,X27] :
              ( ( host(X27) = host(X26)
                & host(X24) = host(X25)
                & setIn(X26,alive)
                & setIn(X24,alive)
                & host(X26) != host(X24) )
             => ~ ( elem(m_Down(X25),queue(host(X26)))
                  & elem(m_Down(X27),queue(host(X24))) ) )
          & ! [X28,X29,X30] :
              ( ( host(X28) = host(X29)
                & elem(m_Down(X29),queue(host(X30)))
                & setIn(X30,alive)
                & ~ leq(host(X29),host(X30)) )
             => ~ ( norm = index(status,host(X28))
                  & host(X28) = index(ldr,host(X28))
                  & setIn(X28,alive) ) )
          & ! [X31,X32] :
              ( ( host(X32) = index(ldr,host(X32))
                & norm = index(status,host(X32))
                & norm = index(status,host(X31))
                & host(X31) = index(ldr,host(X31))
                & setIn(X32,alive)
                & setIn(X31,alive) )
             => X31 = X32 )
          & ! [X33,X34,X35] :
              ( ( host(X35) = index(ldr,host(X35))
                & norm = index(status,host(X35))
                & host(X35) = host(X34)
                & setIn(X35,alive) )
             => ~ ( elem(m_Down(X34),queue(host(X33)))
                  & setIn(X33,alive) ) )
          & ! [X36,X37,X38] :
              ( ( elec_2 = index(status,host(X38))
                & host(X38) = host(X37)
                & elem(m_Down(X37),queue(host(X36)))
                & setIn(X38,alive)
                & setIn(X36,alive) )
             => leq(index(pendack,host(X38)),host(X36)) )
          & ! [X39,X40] :
              ( ( host(X40) = index(ldr,host(X40))
                & norm = index(status,host(X40))
                & setIn(X40,alive) )
             => ~ ( setIn(host(X40),index(down,host(X39)))
                  & setIn(X39,alive) ) )
          & ! [X41,X42] :
              ( ( elec_2 = index(status,host(X42))
                & setIn(host(X42),index(down,host(X41)))
                & setIn(X42,alive)
                & setIn(X41,alive) )
             => leq(index(pendack,host(X42)),host(X41)) )
          & ! [X43] :
              ( ( setIn(X43,alive)
                & ( elec_2 = index(status,host(X43))
                  | elec_1 = index(status,host(X43)) ) )
             => index(elid,host(X43)) = X43 )
          & ! [X44,X45] :
              ( ( host(X44) = host(X45)
                & X44 != X45 )
             => ( ~ setIn(X45,alive)
                | ~ setIn(X44,alive) ) )
          & ! [X46,X47] :
              ( elem(m_Down(X47),queue(host(X46)))
             => host(X46) != host(X47) )
          & ! [X48,X49] :
              ( elem(m_Ldr(X49),queue(host(X48)))
             => ~ leq(host(X48),host(X49)) ) )
       => ( setIn(X2,alive)
         => ( leq(host(X2),host(X3))
           => ( ( host(X3) = index(pendack,host(X2))
                & elec_2 = index(status,host(X2)) )
             => ( leq(nbr_proc,index(pendack,host(X2)))
               => ! [X50] :
                    ( setIn(host(X50),index(acks,host(X2)))
                   => ! [X51] :
                        ( host(X2) = host(X51)
                       => ! [X52,X53,X54] :
                            ( host(X50) = host(X54)
                           => ( host(X2) != host(X54)
                             => ( ( elec_1 = index(status,host(X54))
                                  & s(host(X54)) = host(X52)
                                  & elem(m_Down(X53),snoc(queue(host(X54)),m_Ldr(X2)))
                                  & elem(m_Down(X52),snoc(queue(host(X54)),m_Ldr(X2)))
                                  & leq(nbr_proc,s(host(X54)))
                                  & setIn(X54,alive)
                                  & ! [X55] :
                                      ( ( leq(s(zero),X55)
                                        & ~ leq(host(X54),X55) )
                                     => ( host(X53) = X55
                                        | setIn(X55,index(down,host(X54))) ) ) )
                               => ~ ( host(X2) = host(X51)
                                    & setIn(X51,alive) ) ) ) ) ) ) ) ) ) ) ),
    inference(rectify,[],[f68]) ).

fof(f68,negated_conjecture,
    ~ ! [X11,X12,X4,X5] :
        ( ( queue(host(X4)) = cons(m_Down(X5),X11)
          & ! [X6,X15,X14,X13] :
              ( ( elec_1 = index(status,host(X13))
                & host(X15) = s(host(X13))
                & elem(m_Down(X15),queue(host(X13)))
                & elem(m_Down(X14),queue(host(X13)))
                & leq(nbr_proc,s(host(X13)))
                & setIn(X13,alive)
                & ! [X16] :
                    ( ( leq(s(zero),X16)
                      & ~ leq(host(X13),X16) )
                   => ( host(X14) = X16
                      | setIn(X16,index(down,host(X13))) ) ) )
             => ~ ( norm = index(status,host(X6))
                  & host(X6) = index(ldr,host(X6))
                  & setIn(X6,alive) ) )
          & ! [X6,X15,X14,X13] :
              ( ( elec_1 = index(status,host(X13))
                & elec_2 = index(status,host(X6))
                & host(X13) = host(X15)
                & elem(m_Down(X14),queue(host(X13)))
                & leq(host(X6),host(X13))
                & setIn(X6,alive)
                & ! [X16] :
                    ( ( leq(s(zero),X16)
                      & ~ leq(host(X13),X16) )
                   => ( host(X14) = X16
                      | setIn(X16,index(down,host(X13))) ) ) )
             => ~ elem(m_Ack(X6,X15),queue(host(X6))) )
          & ! [X6,X14,X13] :
              ( ( host(X14) = host(index(elid,host(X13)))
                & wait = index(status,host(X13))
                & host(X6) = host(X14)
                & elem(m_Down(X6),queue(host(X13)))
                & setIn(X13,alive)
                & host(X13) != host(X14) )
             => ~ ( host(X14) = index(ldr,host(X14))
                  & norm = index(status,host(X14))
                  & setIn(X14,alive) ) )
          & ! [X6,X14,X13] :
              ( ( index(ldr,host(X13)) = host(X14)
                & norm = index(status,host(X13))
                & host(X6) = host(X14)
                & elem(m_Down(X6),queue(host(X13)))
                & setIn(X13,alive)
                & host(X13) != host(X14) )
             => ~ ( host(X14) = index(ldr,host(X14))
                  & norm = index(status,host(X14))
                  & setIn(X14,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(X6) = host(X14)
                & elem(m_Down(X14),queue(host(X13)))
                & setIn(X13,alive)
                & ~ leq(host(X14),host(X13)) )
             => ~ ( norm = index(status,host(X6))
                  & host(X6) = index(ldr,host(X6))
                  & setIn(X6,alive) ) )
          & ! [X6,X13] :
              ( ( host(X13) = index(ldr,host(X13))
                & norm = index(status,host(X13))
                & norm = index(status,host(X6))
                & host(X6) = index(ldr,host(X6))
                & setIn(X13,alive)
                & setIn(X6,alive) )
             => X6 = X13 )
          & ! [X6,X14,X13] :
              ( ( host(X13) = index(ldr,host(X13))
                & norm = index(status,host(X13))
                & host(X13) = host(X14)
                & setIn(X13,alive) )
             => ~ ( elem(m_Down(X14),queue(host(X6)))
                  & setIn(X6,alive) ) )
          & ! [X6,X14,X13] :
              ( ( elec_2 = index(status,host(X13))
                & host(X13) = host(X14)
                & elem(m_Down(X14),queue(host(X6)))
                & setIn(X13,alive)
                & setIn(X6,alive) )
             => leq(index(pendack,host(X13)),host(X6)) )
          & ! [X6,X13] :
              ( ( host(X13) = index(ldr,host(X13))
                & norm = index(status,host(X13))
                & setIn(X13,alive) )
             => ~ ( setIn(host(X13),index(down,host(X6)))
                  & setIn(X6,alive) ) )
          & ! [X6,X13] :
              ( ( elec_2 = index(status,host(X13))
                & setIn(host(X13),index(down,host(X6)))
                & setIn(X13,alive)
                & setIn(X6,alive) )
             => leq(index(pendack,host(X13)),host(X6)) )
          & ! [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] :
              ( 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)
         => ( leq(host(X4),host(X5))
           => ( ( host(X5) = index(pendack,host(X4))
                & elec_2 = index(status,host(X4)) )
             => ( leq(nbr_proc,index(pendack,host(X4)))
               => ! [X6] :
                    ( setIn(host(X6),index(acks,host(X4)))
                   => ! [X16] :
                        ( host(X4) = host(X16)
                       => ! [X17,X18,X19] :
                            ( host(X6) = host(X19)
                           => ( host(X4) != host(X19)
                             => ( ( elec_1 = index(status,host(X19))
                                  & s(host(X19)) = host(X17)
                                  & elem(m_Down(X18),snoc(queue(host(X19)),m_Ldr(X4)))
                                  & elem(m_Down(X17),snoc(queue(host(X19)),m_Ldr(X4)))
                                  & leq(nbr_proc,s(host(X19)))
                                  & setIn(X19,alive)
                                  & ! [X20] :
                                      ( ( leq(s(zero),X20)
                                        & ~ leq(host(X19),X20) )
                                     => ( host(X18) = X20
                                        | setIn(X20,index(down,host(X19))) ) ) )
                               => ~ ( host(X4) = host(X16)
                                    & setIn(X16,alive) ) ) ) ) ) ) ) ) ) ) ),
    inference(negated_conjecture,[],[f67]) ).

fof(f67,conjecture,
    ! [X11,X12,X4,X5] :
      ( ( queue(host(X4)) = cons(m_Down(X5),X11)
        & ! [X6,X15,X14,X13] :
            ( ( elec_1 = index(status,host(X13))
              & host(X15) = s(host(X13))
              & elem(m_Down(X15),queue(host(X13)))
              & elem(m_Down(X14),queue(host(X13)))
              & leq(nbr_proc,s(host(X13)))
              & setIn(X13,alive)
              & ! [X16] :
                  ( ( leq(s(zero),X16)
                    & ~ leq(host(X13),X16) )
                 => ( host(X14) = X16
                    | setIn(X16,index(down,host(X13))) ) ) )
           => ~ ( norm = index(status,host(X6))
                & host(X6) = index(ldr,host(X6))
                & setIn(X6,alive) ) )
        & ! [X6,X15,X14,X13] :
            ( ( elec_1 = index(status,host(X13))
              & elec_2 = index(status,host(X6))
              & host(X13) = host(X15)
              & elem(m_Down(X14),queue(host(X13)))
              & leq(host(X6),host(X13))
              & setIn(X6,alive)
              & ! [X16] :
                  ( ( leq(s(zero),X16)
                    & ~ leq(host(X13),X16) )
                 => ( host(X14) = X16
                    | setIn(X16,index(down,host(X13))) ) ) )
           => ~ elem(m_Ack(X6,X15),queue(host(X6))) )
        & ! [X6,X14,X13] :
            ( ( host(X14) = host(index(elid,host(X13)))
              & wait = index(status,host(X13))
              & host(X6) = host(X14)
              & elem(m_Down(X6),queue(host(X13)))
              & setIn(X13,alive)
              & host(X13) != host(X14) )
           => ~ ( host(X14) = index(ldr,host(X14))
                & norm = index(status,host(X14))
                & setIn(X14,alive) ) )
        & ! [X6,X14,X13] :
            ( ( index(ldr,host(X13)) = host(X14)
              & norm = index(status,host(X13))
              & host(X6) = host(X14)
              & elem(m_Down(X6),queue(host(X13)))
              & setIn(X13,alive)
              & host(X13) != host(X14) )
           => ~ ( host(X14) = index(ldr,host(X14))
                & norm = index(status,host(X14))
                & setIn(X14,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(X6) = host(X14)
              & elem(m_Down(X14),queue(host(X13)))
              & setIn(X13,alive)
              & ~ leq(host(X14),host(X13)) )
           => ~ ( norm = index(status,host(X6))
                & host(X6) = index(ldr,host(X6))
                & setIn(X6,alive) ) )
        & ! [X6,X13] :
            ( ( host(X13) = index(ldr,host(X13))
              & norm = index(status,host(X13))
              & norm = index(status,host(X6))
              & host(X6) = index(ldr,host(X6))
              & setIn(X13,alive)
              & setIn(X6,alive) )
           => X6 = X13 )
        & ! [X6,X14,X13] :
            ( ( host(X13) = index(ldr,host(X13))
              & norm = index(status,host(X13))
              & host(X13) = host(X14)
              & setIn(X13,alive) )
           => ~ ( elem(m_Down(X14),queue(host(X6)))
                & setIn(X6,alive) ) )
        & ! [X6,X14,X13] :
            ( ( elec_2 = index(status,host(X13))
              & host(X13) = host(X14)
              & elem(m_Down(X14),queue(host(X6)))
              & setIn(X13,alive)
              & setIn(X6,alive) )
           => leq(index(pendack,host(X13)),host(X6)) )
        & ! [X6,X13] :
            ( ( host(X13) = index(ldr,host(X13))
              & norm = index(status,host(X13))
              & setIn(X13,alive) )
           => ~ ( setIn(host(X13),index(down,host(X6)))
                & setIn(X6,alive) ) )
        & ! [X6,X13] :
            ( ( elec_2 = index(status,host(X13))
              & setIn(host(X13),index(down,host(X6)))
              & setIn(X13,alive)
              & setIn(X6,alive) )
           => leq(index(pendack,host(X13)),host(X6)) )
        & ! [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] :
            ( 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)
       => ( leq(host(X4),host(X5))
         => ( ( host(X5) = index(pendack,host(X4))
              & elec_2 = index(status,host(X4)) )
           => ( leq(nbr_proc,index(pendack,host(X4)))
             => ! [X6] :
                  ( setIn(host(X6),index(acks,host(X4)))
                 => ! [X16] :
                      ( host(X4) = host(X16)
                     => ! [X17,X18,X19] :
                          ( host(X6) = host(X19)
                         => ( host(X4) != host(X19)
                           => ( ( elec_1 = index(status,host(X19))
                                & s(host(X19)) = host(X17)
                                & elem(m_Down(X18),snoc(queue(host(X19)),m_Ldr(X4)))
                                & elem(m_Down(X17),snoc(queue(host(X19)),m_Ldr(X4)))
                                & leq(nbr_proc,s(host(X19)))
                                & setIn(X19,alive)
                                & ! [X20] :
                                    ( ( leq(s(zero),X20)
                                      & ~ leq(host(X19),X20) )
                                   => ( host(X18) = X20
                                      | setIn(X20,index(down,host(X19))) ) ) )
                             => ~ ( host(X4) = host(X16)
                                  & setIn(X16,alive) ) ) ) ) ) ) ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).

fof(f144,plain,
    host(sK9) != host(sK1),
    inference(cnf_transformation,[],[f126]) ).

fof(f9090,plain,
    ( ~ leq(host(sK3),host(sK1))
    | host(sK3) = host(sK1)
    | ~ spl13_30 ),
    inference(resolution,[],[f9041,f260]) ).

fof(f260,plain,
    ! [X0,X1] :
      ( ~ leq(X1,X0)
      | ~ leq(X0,X1)
      | X0 = X1 ),
    inference(cnf_transformation,[],[f111]) ).

fof(f111,plain,
    ! [X0,X1] :
      ( ( leq(X1,X0)
        & leq(X0,X1) )
    <=> X0 = X1 ),
    inference(rectify,[],[f62]) ).

fof(f62,axiom,
    ! [X4,X5] :
      ( ( leq(X5,X4)
        & leq(X4,X5) )
    <=> X4 = X5 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).

fof(f9041,plain,
    ( leq(host(sK1),host(sK3))
    | ~ spl13_30 ),
    inference(avatar_component_clause,[],[f9040]) ).

fof(f9040,plain,
    ( spl13_30
  <=> leq(host(sK1),host(sK3)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl13_30])]) ).

fof(f4544,plain,
    host(sK8) != host(sK1),
    inference(resolution,[],[f2127,f633]) ).

fof(f633,plain,
    elem(m_Down(sK8),queue(host(sK3))),
    inference(subsumption_resolution,[],[f626,f218]) ).

fof(f218,plain,
    ! [X0,X1] : m_Down(X0) != m_Ldr(X1),
    inference(cnf_transformation,[],[f92]) ).

fof(f92,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/sandbox2/benchmark/theBenchmark.p',unknown) ).

fof(f626,plain,
    ( elem(m_Down(sK8),queue(host(sK3)))
    | m_Ldr(sK1) = m_Down(sK8) ),
    inference(resolution,[],[f275,f377]) ).

fof(f377,plain,
    elem(m_Down(sK8),snoc(queue(host(sK3)),m_Ldr(sK1))),
    inference(forward_demodulation,[],[f148,f143]) ).

fof(f148,plain,
    elem(m_Down(sK8),snoc(queue(host(sK9)),m_Ldr(sK1))),
    inference(cnf_transformation,[],[f126]) ).

fof(f275,plain,
    ! [X2,X0,X1] :
      ( ~ elem(X0,snoc(X2,X1))
      | elem(X0,X2)
      | X0 = X1 ),
    inference(cnf_transformation,[],[f122]) ).

fof(f122,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/sandbox2/benchmark/theBenchmark.p',unknown) ).

fof(f2127,plain,
    ! [X0] :
      ( ~ elem(m_Down(X0),queue(host(sK3)))
      | host(X0) != host(sK1) ),
    inference(subsumption_resolution,[],[f2126,f145]) ).

fof(f145,plain,
    setIn(sK9,alive),
    inference(cnf_transformation,[],[f126]) ).

fof(f2126,plain,
    ! [X0] :
      ( ~ elem(m_Down(X0),queue(host(sK3)))
      | host(X0) != host(sK1)
      | ~ setIn(sK9,alive) ),
    inference(subsumption_resolution,[],[f2118,f411]) ).

fof(f411,plain,
    ~ leq(nbr_proc,host(sK3)),
    inference(backward_demodulation,[],[f302,f406]) ).

fof(f406,plain,
    nbr_proc = host(sK7),
    inference(subsumption_resolution,[],[f404,f197]) ).

fof(f197,plain,
    ! [X0] : leq(host(X0),nbr_proc),
    inference(cnf_transformation,[],[f74]) ).

fof(f74,plain,
    ! [X0] : leq(host(X0),nbr_proc),
    inference(rectify,[],[f5]) ).

fof(f5,axiom,
    ! [X2] : leq(host(X2),nbr_proc),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).

fof(f404,plain,
    ( ~ leq(host(sK7),nbr_proc)
    | nbr_proc = host(sK7) ),
    inference(resolution,[],[f260,f301]) ).

fof(f301,plain,
    leq(nbr_proc,host(sK7)),
    inference(backward_demodulation,[],[f295,f299]) ).

fof(f299,plain,
    host(sK7) = s(host(sK3)),
    inference(forward_demodulation,[],[f149,f143]) ).

fof(f149,plain,
    s(host(sK9)) = host(sK7),
    inference(cnf_transformation,[],[f126]) ).

fof(f295,plain,
    leq(nbr_proc,s(host(sK3))),
    inference(forward_demodulation,[],[f146,f143]) ).

fof(f146,plain,
    leq(nbr_proc,s(host(sK9))),
    inference(cnf_transformation,[],[f126]) ).

fof(f302,plain,
    ~ leq(host(sK7),host(sK3)),
    inference(superposition,[],[f196,f299]) ).

fof(f196,plain,
    ! [X0] : ~ leq(s(X0),X0),
    inference(cnf_transformation,[],[f73]) ).

fof(f73,plain,
    ! [X0] : ~ leq(s(X0),X0),
    inference(rectify,[],[f59]) ).

fof(f59,axiom,
    ! [X4] : ~ leq(s(X4),X4),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).

fof(f2118,plain,
    ! [X0] :
      ( ~ elem(m_Down(X0),queue(host(sK3)))
      | leq(nbr_proc,host(sK3))
      | host(X0) != host(sK1)
      | ~ setIn(sK9,alive) ),
    inference(superposition,[],[f781,f143]) ).

fof(f781,plain,
    ! [X0,X1] :
      ( ~ elem(m_Down(X0),queue(host(X1)))
      | leq(nbr_proc,host(X1))
      | host(X0) != host(sK1)
      | ~ setIn(X1,alive) ),
    inference(forward_demodulation,[],[f780,f429]) ).

fof(f429,plain,
    nbr_proc = index(pendack,host(sK1)),
    inference(backward_demodulation,[],[f182,f407]) ).

fof(f407,plain,
    nbr_proc = host(sK2),
    inference(subsumption_resolution,[],[f405,f197]) ).

fof(f405,plain,
    ( ~ leq(host(sK2),nbr_proc)
    | nbr_proc = host(sK2) ),
    inference(resolution,[],[f260,f311]) ).

fof(f311,plain,
    leq(nbr_proc,host(sK2)),
    inference(backward_demodulation,[],[f183,f182]) ).

fof(f183,plain,
    leq(nbr_proc,index(pendack,host(sK1))),
    inference(cnf_transformation,[],[f126]) ).

fof(f182,plain,
    host(sK2) = index(pendack,host(sK1)),
    inference(cnf_transformation,[],[f126]) ).

fof(f780,plain,
    ! [X0,X1] :
      ( ~ elem(m_Down(X0),queue(host(X1)))
      | host(X0) != host(sK1)
      | ~ setIn(X1,alive)
      | leq(index(pendack,host(sK1)),host(X1)) ),
    inference(subsumption_resolution,[],[f777,f179]) ).

fof(f179,plain,
    setIn(sK1,alive),
    inference(cnf_transformation,[],[f126]) ).

fof(f777,plain,
    ! [X0,X1] :
      ( ~ setIn(sK1,alive)
      | ~ elem(m_Down(X0),queue(host(X1)))
      | host(X0) != host(sK1)
      | ~ setIn(X1,alive)
      | leq(index(pendack,host(sK1)),host(X1)) ),
    inference(trivial_inequality_removal,[],[f775]) ).

fof(f775,plain,
    ! [X0,X1] :
      ( elec_2 != elec_2
      | ~ setIn(sK1,alive)
      | ~ elem(m_Down(X0),queue(host(X1)))
      | host(X0) != host(sK1)
      | ~ setIn(X1,alive)
      | leq(index(pendack,host(sK1)),host(X1)) ),
    inference(superposition,[],[f172,f181]) ).

fof(f181,plain,
    elec_2 = index(status,host(sK1)),
    inference(cnf_transformation,[],[f126]) ).

fof(f172,plain,
    ! [X38,X36,X37] :
      ( elec_2 != index(status,host(X38))
      | ~ setIn(X38,alive)
      | ~ elem(m_Down(X37),queue(host(X36)))
      | host(X38) != host(X37)
      | ~ setIn(X36,alive)
      | leq(index(pendack,host(X38)),host(X36)) ),
    inference(cnf_transformation,[],[f126]) ).

fof(f1783,plain,
    ( leq(host(sK3),host(sK1))
    | host(sK8) = host(sK1) ),
    inference(subsumption_resolution,[],[f1782,f200]) ).

fof(f200,plain,
    ! [X0] : leq(s(zero),host(X0)),
    inference(cnf_transformation,[],[f77]) ).

fof(f77,plain,
    ! [X0] : leq(s(zero),host(X0)),
    inference(rectify,[],[f3]) ).

fof(f3,axiom,
    ! [X2] : leq(s(zero),host(X2)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).

fof(f1782,plain,
    ( leq(host(sK3),host(sK1))
    | ~ leq(s(zero),host(sK1))
    | host(sK8) = host(sK1) ),
    inference(resolution,[],[f1781,f705]) ).

fof(f705,plain,
    ! [X55] :
      ( setIn(X55,index(down,host(sK3)))
      | leq(host(sK3),X55)
      | ~ leq(s(zero),X55)
      | host(sK8) = X55 ),
    inference(forward_demodulation,[],[f704,f143]) ).

fof(f704,plain,
    ! [X55] :
      ( leq(host(sK3),X55)
      | ~ leq(s(zero),X55)
      | setIn(X55,index(down,host(sK9)))
      | host(sK8) = X55 ),
    inference(forward_demodulation,[],[f142,f143]) ).

fof(f142,plain,
    ! [X55] :
      ( leq(host(sK9),X55)
      | ~ leq(s(zero),X55)
      | setIn(X55,index(down,host(sK9)))
      | host(sK8) = X55 ),
    inference(cnf_transformation,[],[f126]) ).

fof(f1781,plain,
    ~ setIn(host(sK1),index(down,host(sK3))),
    inference(subsumption_resolution,[],[f1780,f145]) ).

fof(f1780,plain,
    ( ~ setIn(host(sK1),index(down,host(sK3)))
    | ~ setIn(sK9,alive) ),
    inference(subsumption_resolution,[],[f1777,f411]) ).

fof(f1777,plain,
    ( ~ setIn(host(sK1),index(down,host(sK3)))
    | leq(nbr_proc,host(sK3))
    | ~ setIn(sK9,alive) ),
    inference(superposition,[],[f757,f143]) ).

fof(f757,plain,
    ! [X0] :
      ( ~ setIn(host(sK1),index(down,host(X0)))
      | leq(nbr_proc,host(X0))
      | ~ setIn(X0,alive) ),
    inference(forward_demodulation,[],[f756,f429]) ).

fof(f756,plain,
    ! [X0] :
      ( leq(index(pendack,host(sK1)),host(X0))
      | ~ setIn(host(sK1),index(down,host(X0)))
      | ~ setIn(X0,alive) ),
    inference(subsumption_resolution,[],[f755,f181]) ).

fof(f755,plain,
    ! [X0] :
      ( leq(index(pendack,host(sK1)),host(X0))
      | ~ setIn(host(sK1),index(down,host(X0)))
      | elec_2 != index(status,host(sK1))
      | ~ setIn(X0,alive) ),
    inference(subsumption_resolution,[],[f747,f151]) ).

fof(f151,plain,
    setIn(sK6,alive),
    inference(cnf_transformation,[],[f126]) ).

fof(f747,plain,
    ! [X0] :
      ( leq(index(pendack,host(sK1)),host(X0))
      | ~ setIn(sK6,alive)
      | ~ setIn(host(sK1),index(down,host(X0)))
      | elec_2 != index(status,host(sK1))
      | ~ setIn(X0,alive) ),
    inference(superposition,[],[f174,f152]) ).

fof(f152,plain,
    host(sK1) = host(sK6),
    inference(cnf_transformation,[],[f126]) ).

fof(f174,plain,
    ! [X41,X42] :
      ( leq(index(pendack,host(X42)),host(X41))
      | ~ setIn(X42,alive)
      | ~ setIn(host(X42),index(down,host(X41)))
      | elec_2 != index(status,host(X42))
      | ~ setIn(X41,alive) ),
    inference(cnf_transformation,[],[f126]) ).

fof(f9073,plain,
    spl13_30,
    inference(avatar_contradiction_clause,[],[f9072]) ).

fof(f9072,plain,
    ( $false
    | spl13_30 ),
    inference(subsumption_resolution,[],[f9071,f511]) ).

fof(f511,plain,
    nbr_proc != host(sK1),
    inference(forward_demodulation,[],[f506,f407]) ).

fof(f506,plain,
    host(sK1) != host(sK2),
    inference(resolution,[],[f176,f329]) ).

fof(f329,plain,
    elem(m_Down(sK2),queue(host(sK1))),
    inference(superposition,[],[f291,f178]) ).

fof(f178,plain,
    queue(host(sK1)) = cons(m_Down(sK2),sK0),
    inference(cnf_transformation,[],[f126]) ).

fof(f291,plain,
    ! [X2,X1] : elem(X1,cons(X1,X2)),
    inference(equality_resolution,[],[f273]) ).

fof(f273,plain,
    ! [X2,X0,X1] :
      ( X0 != X1
      | elem(X0,cons(X1,X2)) ),
    inference(cnf_transformation,[],[f121]) ).

fof(f121,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/benchmark/theBenchmark.p',unknown) ).

fof(f176,plain,
    ! [X46,X47] :
      ( ~ elem(m_Down(X47),queue(host(X46)))
      | host(X46) != host(X47) ),
    inference(cnf_transformation,[],[f126]) ).

fof(f9071,plain,
    ( nbr_proc = host(sK1)
    | spl13_30 ),
    inference(subsumption_resolution,[],[f9054,f197]) ).

fof(f9054,plain,
    ( ~ leq(host(sK1),nbr_proc)
    | nbr_proc = host(sK1)
    | spl13_30 ),
    inference(resolution,[],[f9042,f585]) ).

fof(f585,plain,
    ! [X0] :
      ( leq(X0,host(sK3))
      | ~ leq(X0,nbr_proc)
      | nbr_proc = X0 ),
    inference(superposition,[],[f257,f413]) ).

fof(f413,plain,
    nbr_proc = s(host(sK3)),
    inference(backward_demodulation,[],[f299,f406]) ).

fof(f257,plain,
    ! [X0,X1] :
      ( ~ leq(X0,s(X1))
      | leq(X0,X1)
      | s(X1) = X0 ),
    inference(cnf_transformation,[],[f110]) ).

fof(f110,plain,
    ! [X0,X1] :
      ( leq(X0,s(X1))
    <=> ( leq(X0,X1)
        | s(X1) = X0 ) ),
    inference(rectify,[],[f65]) ).

fof(f65,axiom,
    ! [X4,X5] :
      ( leq(X4,s(X5))
    <=> ( leq(X4,X5)
        | s(X5) = X4 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).

fof(f9042,plain,
    ( ~ leq(host(sK1),host(sK3))
    | spl13_30 ),
    inference(avatar_component_clause,[],[f9040]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.14  % Problem    : SWV478+1 : TPTP v8.2.0. Released v4.0.0.
% 0.04/0.14  % Command    : run_vampire %s %d SAT
% 0.14/0.36  % Computer : n025.cluster.edu
% 0.14/0.36  % Model    : x86_64 x86_64
% 0.14/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36  % Memory   : 8042.1875MB
% 0.14/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36  % CPULimit   : 300
% 0.14/0.36  % WCLimit    : 300
% 0.14/0.36  % DateTime   : Thu Jun 20 20:54:39 EDT 2024
% 0.14/0.36  % CPUTime    : 
% 0.14/0.38  This is a FOF_THM_RFO_SEQ problem
% 0.14/0.38  Running first-order model finding
% 0.14/0.38  Running /export/starexec/sandbox2/solver/bin/vampire --mode casc_sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.25/0.45  % (30641)Running in auto input_syntax mode. Trying TPTP
% 0.25/0.45  % (30645)fmb+10_1:1_sil=256000:fmbss=23:fmbes=contour:newcnf=on:fmbsr=1.14:i=152523:nm=2:gsp=on:rp=on_0 on theBenchmark for (3000ds/152523Mi)
% 0.25/0.45  % (30641)Running in auto input_syntax mode. Trying TPTP
% 0.25/0.45  % (30648)ott-4_1:1_sil=4000:sp=reverse_arity:lcm=predicate:newcnf=on:i=115:bce=on:fd=off:fs=off:fsr=off_0 on theBenchmark for (3000ds/115Mi)
% 0.25/0.45  % (30641)Running in auto input_syntax mode. Trying TPTP
% 0.25/0.45  % (30643)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:i=99418_0 on theBenchmark for (3000ds/99418Mi)
% 0.25/0.45  % (30641)Running in auto input_syntax mode. Trying TPTP
% 0.25/0.45  % (30647)ott+11_8:59_sil=16000:sp=occurrence:lsd=20:abs=on:i=146:aac=none:nm=16:fdi=10:rawr=on:nicw=on_0 on theBenchmark for (3000ds/146Mi)
% 0.25/0.45  % (30641)Running in auto input_syntax mode. Trying TPTP
% 0.25/0.45  % (30646)ott+21_1:1_sil=4000:i=104:fsd=on:fd=off:newcnf=on_0 on theBenchmark for (3000ds/104Mi)
% 0.25/0.45  % (30641)Running in auto input_syntax mode. Trying TPTP
% 0.25/0.45  % (30644)fmb+10_1:1_sil=256000:fmbes=contour:i=214858:bce=on_0 on theBenchmark for (3000ds/214858Mi)
% 0.25/0.46  % (30641)Running in auto input_syntax mode. Trying TPTP
% 0.25/0.46  % (30642)fmb+10_1:1_sil=256000:i=98885:tgt=full:fmbsr=1.3:fmbss=10_0 on theBenchmark for (3000ds/98885Mi)
% 0.25/0.46  Detected minimum model sizes of [4]
% 0.25/0.46  Detected maximum model sizes of [max]
% 0.25/0.48  Detected minimum model sizes of [4]
% 0.25/0.48  Detected maximum model sizes of [max]
% 0.25/0.48  TRYING [4]
% 0.25/0.48  Detected minimum model sizes of [4]
% 0.25/0.48  Detected maximum model sizes of [max]
% 0.25/0.49  % (30648)Instruction limit reached!
% 0.25/0.49  % (30648)------------------------------
% 0.25/0.49  % (30648)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.25/0.49  % (30648)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.25/0.49  % (30648)Termination reason: Time limit
% 0.25/0.49  % (30648)Termination phase: Saturation
% 0.25/0.49  
% 0.25/0.49  % (30648)Memory used [KB]: 3012
% 0.25/0.49  % (30648)Time elapsed: 0.042 s
% 0.25/0.49  % (30648)Instructions burned: 117 (million)
% 0.25/0.50  TRYING [10]
% 0.25/0.51  % (30646)Instruction limit reached!
% 0.25/0.51  % (30646)------------------------------
% 0.25/0.51  % (30646)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.25/0.51  % (30646)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.25/0.51  % (30646)Termination reason: Time limit
% 0.25/0.51  % (30646)Termination phase: Saturation
% 0.25/0.51  
% 0.25/0.51  % (30646)Memory used [KB]: 1732
% 0.25/0.51  % (30646)Time elapsed: 0.061 s
% 0.25/0.51  % (30646)Instructions burned: 106 (million)
% 1.08/0.53  % (30641)Running in auto input_syntax mode. Trying TPTP
% 1.08/0.53  % (30649)dis+11_1:3_bsr=unit_only:sil=2000:rp=on:newcnf=on:i=404:kws=precedence:lsd=100_0 on theBenchmark for (2999ds/404Mi)
% 1.08/0.54  % (30647)Instruction limit reached!
% 1.08/0.54  % (30647)------------------------------
% 1.08/0.54  % (30647)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 1.08/0.54  % (30647)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 1.08/0.54  % (30647)Termination reason: Time limit
% 1.08/0.54  % (30647)Termination phase: Saturation
% 1.08/0.54  
% 1.08/0.54  % (30647)Memory used [KB]: 2209
% 1.08/0.54  % (30647)Time elapsed: 0.086 s
% 1.08/0.54  % (30647)Instructions burned: 147 (million)
% 1.20/0.55  % (30641)Running in auto input_syntax mode. Trying TPTP
% 1.20/0.55  % (30650)ott-21_1:1_sil=4000:sp=const_frequency:i=175:fsr=off:fs=off:av=off_0 on theBenchmark for (2998ds/175Mi)
% 1.20/0.56  TRYING [5]
% 1.20/0.60  % (30641)Running in auto input_syntax mode. Trying TPTP
% 1.20/0.60  % (30651)ott+33_1:1_to=lpo:sil=8000:sp=weighted_frequency:rp=on:i=270:nm=3:fsr=off:sac=on_0 on theBenchmark for (2998ds/270Mi)
% 1.20/0.61  % (30650)Instruction limit reached!
% 1.20/0.61  % (30650)------------------------------
% 1.20/0.61  % (30650)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 1.20/0.61  % (30650)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 1.20/0.61  % (30650)Termination reason: Time limit
% 1.20/0.61  % (30650)Termination phase: Saturation
% 1.20/0.61  
% 1.20/0.61  % (30650)Memory used [KB]: 3087
% 1.20/0.61  % (30650)Time elapsed: 0.066 s
% 1.20/0.61  % (30650)Instructions burned: 177 (million)
% 1.20/0.62  TRYING [23]
% 1.76/0.65  % (30641)Running in auto input_syntax mode. Trying TPTP
% 1.76/0.65  % (30652)ott+4_1:1_sil=2000:i=900:bd=off:fsr=off_0 on theBenchmark for (2997ds/900Mi)
% 1.76/0.68  % (30649)Instruction limit reached!
% 1.76/0.68  % (30649)------------------------------
% 1.76/0.68  % (30649)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 1.76/0.68  % (30649)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 1.76/0.68  % (30649)Termination reason: Time limit
% 1.76/0.68  % (30649)Termination phase: Saturation
% 1.76/0.68  
% 1.76/0.68  % (30649)Memory used [KB]: 3244
% 1.76/0.68  % (30649)Time elapsed: 0.150 s
% 1.76/0.68  % (30649)Instructions burned: 404 (million)
% 1.76/0.68  TRYING [6]
% 2.01/0.71  % (30651)Instruction limit reached!
% 2.01/0.71  % (30651)------------------------------
% 2.01/0.71  % (30651)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 2.01/0.71  % (30651)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 2.01/0.71  % (30651)Termination reason: Time limit
% 2.01/0.71  % (30651)Termination phase: Saturation
% 2.01/0.71  
% 2.01/0.71  % (30651)Memory used [KB]: 2482
% 2.01/0.71  % (30651)Time elapsed: 0.113 s
% 2.01/0.71  % (30651)Instructions burned: 270 (million)
% 2.01/0.71  % (30641)Running in auto input_syntax mode. Trying TPTP
% 2.01/0.71  % (30653)fmb+10_1:1_sil=8000:fde=unused:fmbes=contour:i=7859:nm=2:fmbswr=0_0 on theBenchmark for (2997ds/7859Mi)
% 2.01/0.72  Detected minimum model sizes of [4]
% 2.01/0.72  Detected maximum model sizes of [max]
% 2.01/0.73  TRYING [4]
% 2.46/0.76  % (30641)Running in auto input_syntax mode. Trying TPTP
% 2.46/0.76  % (30654)ott+11_1:2_anc=none:sil=2000:sp=const_max:spb=units:s2a=on:i=2145:s2at=5.0:awrs=converge:awrsf=170:rawr=on:gs=on:fsr=off_0 on theBenchmark for (2996ds/2145Mi)
% 2.46/0.78  TRYING [5]
% 2.83/0.89  TRYING [6]
% 2.83/0.92  TRYING [7]
% 3.40/0.99  % (30652)Instruction limit reached!
% 3.40/0.99  % (30652)------------------------------
% 3.40/0.99  % (30652)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 3.40/0.99  % (30652)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 3.40/0.99  % (30652)Termination reason: Time limit
% 3.40/0.99  % (30652)Termination phase: Saturation
% 3.40/0.99  
% 3.40/0.99  % (30652)Memory used [KB]: 4065
% 3.40/0.99  % (30652)Time elapsed: 0.346 s
% 3.40/0.99  % (30652)Instructions burned: 900 (million)
% 3.40/1.03  % (30641)Running in auto input_syntax mode. Trying TPTP
% 3.40/1.03  % (30655)ott-30_1:1024_sil=4000:alpa=true:newcnf=on:i=1187:bs=unit_only:ins=1:amm=off_0 on theBenchmark for (2994ds/1187Mi)
% 4.91/1.10  TRYING [7]
% 6.69/1.35  TRYING [8]
% 7.64/1.48  TRYING [8]
% 7.64/1.51  % (30655)Instruction limit reached!
% 7.64/1.51  % (30655)------------------------------
% 7.64/1.51  % (30655)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 7.64/1.51  % (30655)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 7.64/1.51  % (30655)Termination reason: Time limit
% 7.64/1.51  % (30655)Termination phase: Saturation
% 7.64/1.51  
% 7.64/1.51  % (30655)Memory used [KB]: 6121
% 7.64/1.51  % (30655)Time elapsed: 0.476 s
% 7.64/1.51  % (30655)Instructions burned: 1190 (million)
% 8.14/1.55  % (30641)Running in auto input_syntax mode. Trying TPTP
% 8.14/1.55  % (30656)fmb+10_1:1_sil=32000:i=23580:newcnf=on_0 on theBenchmark for (2988ds/23580Mi)
% 8.34/1.57  Detected minimum model sizes of [4]
% 8.34/1.57  Detected maximum model sizes of [max]
% 8.34/1.57  TRYING [4]
% 8.34/1.58  % (30654)Instruction limit reached!
% 8.34/1.58  % (30654)------------------------------
% 8.34/1.58  % (30654)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 8.34/1.58  % (30654)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 8.34/1.58  % (30654)Termination reason: Time limit
% 8.34/1.58  % (30654)Termination phase: Saturation
% 8.34/1.58  
% 8.34/1.58  % (30654)Memory used [KB]: 6011
% 8.34/1.58  % (30654)Time elapsed: 0.826 s
% 8.34/1.58  % (30654)Instructions burned: 2146 (million)
% 8.34/1.63  % (30641)Running in auto input_syntax mode. Trying TPTP
% 8.34/1.63  % (30657)fmb+10_1:1_sil=32000:fmbss=17:fmbsr=2.0:i=2892_0 on theBenchmark for (2988ds/2892Mi)
% 8.34/1.63  TRYING [5]
% 8.93/1.65  Detected minimum model sizes of [4]
% 8.93/1.65  Detected maximum model sizes of [max]
% 9.10/1.72  TRYING [17]
% 9.58/1.75  TRYING [6]
% 10.89/1.97  TRYING [7]
% 11.21/2.00  TRYING [9]
% 11.21/2.01  TRYING [11]
% 11.86/2.07  TRYING [9]
% 13.45/2.32  TRYING [8]
% 13.81/2.36  % (30657)Instruction limit reached!
% 13.81/2.36  % (30657)------------------------------
% 13.81/2.36  % (30657)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 13.81/2.36  % (30657)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 13.81/2.36  % (30657)Termination reason: Time limit
% 13.81/2.36  % (30657)Termination phase: Finite model building constraint generation
% 13.81/2.36  
% 13.81/2.36  % (30657)Memory used [KB]: 223553
% 13.81/2.36  % (30657)Time elapsed: 0.726 s
% 13.81/2.36  % (30657)Instructions burned: 2892 (million)
% 14.20/2.42  % (30641)Running in auto input_syntax mode. Trying TPTP
% 14.20/2.42  % (30658)ott-10_1:1_sil=4000:i=1693_0 on theBenchmark for (2980ds/1693Mi)
% 17.83/2.94  TRYING [10]
% 17.83/2.96  % (30653)Instruction limit reached!
% 17.83/2.96  % (30653)------------------------------
% 17.83/2.96  % (30653)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 17.83/2.96  % (30653)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 17.83/2.96  % (30653)Termination reason: Time limit
% 17.83/2.96  % (30653)Termination phase: Finite model building constraint generation
% 17.83/2.96  
% 17.83/2.96  % (30653)Memory used [KB]: 21482
% 17.83/2.96  % (30653)Time elapsed: 2.247 s
% 17.83/2.96  % (30653)Instructions burned: 7859 (million)
% 17.83/2.97  TRYING [9]
% 18.37/3.02  % (30641)Running in auto input_syntax mode. Trying TPTP
% 18.37/3.02  % (30659)dis+21_1:1_sil=4000:gs=on:sac=on:newcnf=on:gsem=off:i=1735:gsaa=full_model:abs=on:anc=none_0 on theBenchmark for (2974ds/1735Mi)
% 18.37/3.03  % (30658)Instruction limit reached!
% 18.37/3.03  % (30658)------------------------------
% 18.37/3.03  % (30658)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 18.37/3.03  % (30658)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 18.37/3.03  % (30658)Termination reason: Time limit
% 18.37/3.03  % (30658)Termination phase: Saturation
% 18.37/3.03  
% 18.37/3.03  % (30658)Memory used [KB]: 4665
% 18.37/3.03  % (30658)Time elapsed: 0.609 s
% 18.37/3.03  % (30658)Instructions burned: 1694 (million)
% 18.83/3.09  % (30641)Running in auto input_syntax mode. Trying TPTP
% 18.83/3.09  % (30660)fmb+10_1:1_fmbas=expand:sil=128000:i=131798:nm=2:fmbksg=on:fmbss=4:fmbsr=1.77:rp=on_0 on theBenchmark for (2973ds/131798Mi)
% 18.83/3.10  Detected minimum model sizes of [4,4]
% 18.83/3.11  Detected maximum model sizes of [max,6]
% 18.83/3.11  TRYING [4,4]
% 18.83/3.17  TRYING [5,4]
% 19.39/3.20  TRYING [10]
% 20.02/3.27  TRYING [6,4]
% 21.17/3.46  TRYING [7,4]
% 23.39/3.79  % (30659)First to succeed.
% 23.96/3.80  % (30659)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-30641"
% 23.96/3.80  TRYING [8,4]
% 23.96/3.80  % (30641)Running in auto input_syntax mode. Trying TPTP
% 23.96/3.80  % (30659)Refutation found. Thanks to Tanya!
% 23.96/3.80  % SZS status Theorem for theBenchmark
% 23.96/3.80  % SZS output start Proof for theBenchmark
% See solution above
% 23.96/3.80  % (30659)------------------------------
% 23.96/3.80  % (30659)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 23.96/3.80  % (30659)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 23.96/3.80  % (30659)Termination reason: Refutation
% 23.96/3.80  
% 23.96/3.80  % (30659)Memory used [KB]: 22869
% 23.96/3.80  % (30659)Time elapsed: 0.792 s
% 23.96/3.80  % (30659)Instructions burned: 1552 (million)
% 23.96/3.80  % (30659)------------------------------
% 23.96/3.80  % (30659)------------------------------
% 23.96/3.80  % (30641)Success in time 3.403 s
%------------------------------------------------------------------------------