TSTP Solution File: SWV460+1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : SWV460+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s

% Computer : n014.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Wed Aug 31 18:59:08 EDT 2022

% Result   : Theorem 0.19s 0.52s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   17
%            Number of leaves      :   10
% Syntax   : Number of formulae    :   67 (  21 unt;   0 def)
%            Number of atoms       :  838 ( 320 equ)
%            Maximal formula atoms :  144 (  12 avg)
%            Number of connectives : 1228 ( 457   ~; 356   |; 338   &)
%                                         (   8 <=>;  69  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   32 (   7 avg)
%            Maximal term depth    :    4 (   2 avg)
%            Number of predicates  :    5 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :   25 (  25 usr;  17 con; 0-2 aty)
%            Number of variables   :  354 ( 328   !;  26   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f597,plain,
    $false,
    inference(subsumption_resolution,[],[f584,f278]) ).

fof(f278,plain,
    ! [X0] : ~ leq(s(X0),X0),
    inference(cnf_transformation,[],[f115]) ).

fof(f115,plain,
    ! [X0] : ~ leq(s(X0),X0),
    inference(rectify,[],[f59]) ).

fof(f59,axiom,
    ! [X4] : ~ leq(s(X4),X4),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_58) ).

fof(f584,plain,
    leq(s(host(sK5)),host(sK5)),
    inference(backward_demodulation,[],[f263,f580]) ).

fof(f580,plain,
    host(sK5) = index(pendack,host(sK7)),
    inference(subsumption_resolution,[],[f566,f404]) ).

fof(f404,plain,
    leq(index(pendack,host(sK7)),host(sK5)),
    inference(subsumption_resolution,[],[f403,f391]) ).

fof(f391,plain,
    ( leq(index(pendack,host(sK7)),host(sK5))
    | host(sK3) = host(sK7) ),
    inference(resolution,[],[f296,f381]) ).

fof(f381,plain,
    ( ~ leq(s(zero),host(sK7))
    | leq(index(pendack,host(sK7)),host(sK5))
    | host(sK3) = host(sK7) ),
    inference(subsumption_resolution,[],[f380,f337]) ).

fof(f337,plain,
    ~ leq(host(sK5),host(sK7)),
    inference(forward_demodulation,[],[f266,f262]) ).

fof(f262,plain,
    host(sK5) = host(sK6),
    inference(cnf_transformation,[],[f174]) ).

fof(f174,plain,
    ( ! [X3,X4,X5] :
        ( ~ setIn(X4,alive)
        | leq(host(X4),host(X5))
        | host(X3) != host(X4)
        | ~ elem(m_Down(X3),queue(host(X5)))
        | elec_2 != index(status,host(X4))
        | ~ setIn(X5,alive) )
    & queue(host(sK5)) = cons(m_Down(sK3),sK4)
    & ~ leq(nbr_proc,host(sK5))
    & ! [X6,X7] :
        ( X6 = X7
        | host(X6) != host(X7)
        | ~ setIn(X7,alive)
        | ~ setIn(X6,alive) )
    & ! [X8] :
        ( ~ leq(index(pendack,host(X8)),host(X8))
        | elec_2 != index(status,host(X8)) )
    & ! [X9] :
        ( leq(host(sK5),X9)
        | setIn(X9,index(down,host(sK5)))
        | ~ leq(s(zero),X9)
        | host(sK3) = X9 )
    & ~ leq(host(sK5),host(sK3))
    & ! [X10,X11] :
        ( leq(index(pendack,host(X10)),host(X11))
        | ~ setIn(host(X10),index(down,host(X11)))
        | ~ setIn(X11,alive)
        | ~ setIn(X10,alive)
        | elec_2 != index(status,host(X10)) )
    & ! [X12,X13,X14] :
        ( ~ setIn(X14,alive)
        | host(X13) != host(X12)
        | ~ elem(m_Ack(X14,X13),queue(host(X14)))
        | ~ setIn(X12,alive)
        | elec_2 != index(status,host(X12))
        | elec_2 != index(status,host(X14)) )
    & setIn(sK6,alive)
    & setIn(sK7,alive)
    & ~ leq(host(sK6),host(sK7))
    & elec_2 = index(status,host(sK7))
    & host(sK7) != host(sK5)
    & leq(s(host(sK5)),index(pendack,host(sK7)))
    & host(sK5) = host(sK6)
    & ! [X17,X18,X19] :
        ( ~ elem(m_Ack(X17,X19),queue(host(X18)))
        | ~ leq(host(X19),host(X17)) )
    & ! [X20] :
        ( ( elec_2 != index(status,host(X20))
          & elec_1 != index(status,host(X20)) )
        | index(elid,host(X20)) = X20
        | ~ setIn(X20,alive) )
    & ! [X21,X22] :
        ( leq(host(X21),host(X22))
        | ~ setIn(X22,alive)
        | leq(index(pendack,host(X22)),host(X21))
        | elec_2 != index(status,host(X22))
        | elec_2 != index(status,host(X21))
        | ~ setIn(X21,alive) )
    & ! [X23,X24,X25] :
        ( host(X23) != host(X25)
        | ~ elem(m_Down(X23),queue(host(X24)))
        | ~ setIn(X24,alive)
        | leq(index(pendack,host(X25)),host(X24))
        | ~ setIn(X25,alive)
        | elec_2 != index(status,host(X25)) )
    & ! [X26,X27] :
        ( ~ leq(host(X27),host(X26))
        | ~ elem(m_Halt(X26),queue(host(X27))) )
    & setIn(sK5,alive)
    & ! [X28,X29] :
        ( ~ leq(index(pendack,host(X28)),index(pendack,host(X29)))
        | elec_2 != index(status,host(X29))
        | elec_2 != index(status,host(X28))
        | leq(host(X28),host(X29))
        | ~ setIn(X28,alive)
        | ~ setIn(X29,alive) )
    & elec_1 = index(status,host(sK5))
    & ( host(sK3) != host(index(elid,host(sK5)))
      | wait != index(status,host(sK5)) )
    & ( host(sK3) != index(ldr,host(sK5))
      | norm != index(status,host(sK5)) )
    & ! [X30,X31] :
        ( elec_2 != index(status,host(X31))
        | ~ setIn(X31,alive)
        | ~ elem(m_Ack(X30,X31),queue(host(X30))) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK3,sK4,sK5,sK6,sK7])],[f170,f173,f172,f171]) ).

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

fof(f172,plain,
    ( ? [X15] :
        ( ? [X16] :
            ( setIn(X15,alive)
            & setIn(X16,alive)
            & ~ leq(host(X15),host(X16))
            & elec_2 = index(status,host(X16))
            & host(X16) != host(sK5)
            & leq(s(host(sK5)),index(pendack,host(X16))) )
        & host(X15) = host(sK5) )
   => ( ? [X16] :
          ( setIn(sK6,alive)
          & setIn(X16,alive)
          & ~ leq(host(sK6),host(X16))
          & elec_2 = index(status,host(X16))
          & host(X16) != host(sK5)
          & leq(s(host(sK5)),index(pendack,host(X16))) )
      & host(sK5) = host(sK6) ) ),
    introduced(choice_axiom,[]) ).

fof(f173,plain,
    ( ? [X16] :
        ( setIn(sK6,alive)
        & setIn(X16,alive)
        & ~ leq(host(sK6),host(X16))
        & elec_2 = index(status,host(X16))
        & host(X16) != host(sK5)
        & leq(s(host(sK5)),index(pendack,host(X16))) )
   => ( setIn(sK6,alive)
      & setIn(sK7,alive)
      & ~ leq(host(sK6),host(sK7))
      & elec_2 = index(status,host(sK7))
      & host(sK7) != host(sK5)
      & leq(s(host(sK5)),index(pendack,host(sK7))) ) ),
    introduced(choice_axiom,[]) ).

fof(f170,plain,
    ? [X0,X1,X2] :
      ( ! [X3,X4,X5] :
          ( ~ setIn(X4,alive)
          | leq(host(X4),host(X5))
          | host(X3) != host(X4)
          | ~ elem(m_Down(X3),queue(host(X5)))
          | elec_2 != index(status,host(X4))
          | ~ setIn(X5,alive) )
      & queue(host(X2)) = cons(m_Down(X0),X1)
      & ~ leq(nbr_proc,host(X2))
      & ! [X6,X7] :
          ( X6 = X7
          | host(X6) != host(X7)
          | ~ setIn(X7,alive)
          | ~ setIn(X6,alive) )
      & ! [X8] :
          ( ~ leq(index(pendack,host(X8)),host(X8))
          | elec_2 != index(status,host(X8)) )
      & ! [X9] :
          ( leq(host(X2),X9)
          | setIn(X9,index(down,host(X2)))
          | ~ leq(s(zero),X9)
          | host(X0) = X9 )
      & ~ leq(host(X2),host(X0))
      & ! [X10,X11] :
          ( leq(index(pendack,host(X10)),host(X11))
          | ~ setIn(host(X10),index(down,host(X11)))
          | ~ setIn(X11,alive)
          | ~ setIn(X10,alive)
          | elec_2 != index(status,host(X10)) )
      & ! [X12,X13,X14] :
          ( ~ setIn(X14,alive)
          | host(X13) != host(X12)
          | ~ elem(m_Ack(X14,X13),queue(host(X14)))
          | ~ setIn(X12,alive)
          | elec_2 != index(status,host(X12))
          | elec_2 != index(status,host(X14)) )
      & ? [X15] :
          ( ? [X16] :
              ( setIn(X15,alive)
              & setIn(X16,alive)
              & ~ leq(host(X15),host(X16))
              & elec_2 = index(status,host(X16))
              & host(X2) != host(X16)
              & leq(s(host(X2)),index(pendack,host(X16))) )
          & host(X2) = host(X15) )
      & ! [X17,X18,X19] :
          ( ~ elem(m_Ack(X17,X19),queue(host(X18)))
          | ~ leq(host(X19),host(X17)) )
      & ! [X20] :
          ( ( elec_2 != index(status,host(X20))
            & elec_1 != index(status,host(X20)) )
          | index(elid,host(X20)) = X20
          | ~ setIn(X20,alive) )
      & ! [X21,X22] :
          ( leq(host(X21),host(X22))
          | ~ setIn(X22,alive)
          | leq(index(pendack,host(X22)),host(X21))
          | elec_2 != index(status,host(X22))
          | elec_2 != index(status,host(X21))
          | ~ setIn(X21,alive) )
      & ! [X23,X24,X25] :
          ( host(X23) != host(X25)
          | ~ elem(m_Down(X23),queue(host(X24)))
          | ~ setIn(X24,alive)
          | leq(index(pendack,host(X25)),host(X24))
          | ~ setIn(X25,alive)
          | elec_2 != index(status,host(X25)) )
      & ! [X26,X27] :
          ( ~ leq(host(X27),host(X26))
          | ~ elem(m_Halt(X26),queue(host(X27))) )
      & setIn(X2,alive)
      & ! [X28,X29] :
          ( ~ leq(index(pendack,host(X28)),index(pendack,host(X29)))
          | elec_2 != index(status,host(X29))
          | elec_2 != index(status,host(X28))
          | leq(host(X28),host(X29))
          | ~ setIn(X28,alive)
          | ~ setIn(X29,alive) )
      & elec_1 = index(status,host(X2))
      & ( host(X0) != host(index(elid,host(X2)))
        | wait != index(status,host(X2)) )
      & ( host(X0) != index(ldr,host(X2))
        | norm != index(status,host(X2)) )
      & ! [X30,X31] :
          ( elec_2 != index(status,host(X31))
          | ~ setIn(X31,alive)
          | ~ elem(m_Ack(X30,X31),queue(host(X30))) ) ),
    inference(rectify,[],[f130]) ).

fof(f130,plain,
    ? [X1,X3,X0] :
      ( ! [X28,X27,X29] :
          ( ~ setIn(X27,alive)
          | leq(host(X27),host(X29))
          | host(X27) != host(X28)
          | ~ elem(m_Down(X28),queue(host(X29)))
          | elec_2 != index(status,host(X27))
          | ~ setIn(X29,alive) )
      & queue(host(X0)) = cons(m_Down(X1),X3)
      & ~ leq(nbr_proc,host(X0))
      & ! [X8,X9] :
          ( X8 = X9
          | host(X8) != host(X9)
          | ~ setIn(X9,alive)
          | ~ setIn(X8,alive) )
      & ! [X10] :
          ( ~ leq(index(pendack,host(X10)),host(X10))
          | elec_2 != index(status,host(X10)) )
      & ! [X30] :
          ( leq(host(X0),X30)
          | setIn(X30,index(down,host(X0)))
          | ~ leq(s(zero),X30)
          | host(X1) = X30 )
      & ~ leq(host(X0),host(X1))
      & ! [X14,X13] :
          ( leq(index(pendack,host(X14)),host(X13))
          | ~ setIn(host(X14),index(down,host(X13)))
          | ~ setIn(X13,alive)
          | ~ setIn(X14,alive)
          | elec_2 != index(status,host(X14)) )
      & ! [X17,X16,X15] :
          ( ~ setIn(X15,alive)
          | host(X16) != host(X17)
          | ~ elem(m_Ack(X15,X16),queue(host(X15)))
          | ~ setIn(X17,alive)
          | elec_2 != index(status,host(X17))
          | elec_2 != index(status,host(X15)) )
      & ? [X31] :
          ( ? [X32] :
              ( setIn(X31,alive)
              & setIn(X32,alive)
              & ~ leq(host(X31),host(X32))
              & elec_2 = index(status,host(X32))
              & host(X0) != host(X32)
              & leq(s(host(X0)),index(pendack,host(X32))) )
          & host(X0) = host(X31) )
      & ! [X6,X5,X7] :
          ( ~ elem(m_Ack(X6,X7),queue(host(X5)))
          | ~ leq(host(X7),host(X6)) )
      & ! [X4] :
          ( ( elec_2 != index(status,host(X4))
            & elec_1 != index(status,host(X4)) )
          | index(elid,host(X4)) = X4
          | ~ setIn(X4,alive) )
      & ! [X19,X18] :
          ( leq(host(X19),host(X18))
          | ~ setIn(X18,alive)
          | leq(index(pendack,host(X18)),host(X19))
          | elec_2 != index(status,host(X18))
          | elec_2 != index(status,host(X19))
          | ~ setIn(X19,alive) )
      & ! [X26,X25,X24] :
          ( host(X26) != host(X24)
          | ~ elem(m_Down(X26),queue(host(X25)))
          | ~ setIn(X25,alive)
          | leq(index(pendack,host(X24)),host(X25))
          | ~ setIn(X24,alive)
          | elec_2 != index(status,host(X24)) )
      & ! [X23,X22] :
          ( ~ leq(host(X22),host(X23))
          | ~ elem(m_Halt(X23),queue(host(X22))) )
      & setIn(X0,alive)
      & ! [X20,X21] :
          ( ~ leq(index(pendack,host(X20)),index(pendack,host(X21)))
          | elec_2 != index(status,host(X21))
          | elec_2 != index(status,host(X20))
          | leq(host(X20),host(X21))
          | ~ setIn(X20,alive)
          | ~ setIn(X21,alive) )
      & elec_1 = index(status,host(X0))
      & ( host(X1) != host(index(elid,host(X0)))
        | wait != index(status,host(X0)) )
      & ( host(X1) != index(ldr,host(X0))
        | norm != index(status,host(X0)) )
      & ! [X12,X11] :
          ( elec_2 != index(status,host(X11))
          | ~ setIn(X11,alive)
          | ~ elem(m_Ack(X12,X11),queue(host(X12))) ) ),
    inference(flattening,[],[f129]) ).

fof(f129,plain,
    ? [X1,X3,X0] :
      ( ? [X31] :
          ( ? [X32] :
              ( leq(s(host(X0)),index(pendack,host(X32)))
              & ~ leq(host(X31),host(X32))
              & setIn(X32,alive)
              & setIn(X31,alive)
              & elec_2 = index(status,host(X32))
              & host(X0) != host(X32) )
          & host(X0) = host(X31) )
      & ~ leq(nbr_proc,host(X0))
      & ! [X30] :
          ( host(X1) = X30
          | setIn(X30,index(down,host(X0)))
          | ~ leq(s(zero),X30)
          | leq(host(X0),X30) )
      & elec_1 = index(status,host(X0))
      & ( host(X1) != index(ldr,host(X0))
        | norm != index(status,host(X0)) )
      & ( host(X1) != host(index(elid,host(X0)))
        | wait != index(status,host(X0)) )
      & ~ leq(host(X0),host(X1))
      & setIn(X0,alive)
      & ! [X10] :
          ( ~ leq(index(pendack,host(X10)),host(X10))
          | elec_2 != index(status,host(X10)) )
      & ! [X9,X8] :
          ( ~ setIn(X9,alive)
          | ~ setIn(X8,alive)
          | host(X8) != host(X9)
          | X8 = X9 )
      & ! [X23,X22] :
          ( ~ leq(host(X22),host(X23))
          | ~ elem(m_Halt(X23),queue(host(X22))) )
      & ! [X6,X5,X7] :
          ( ~ elem(m_Ack(X6,X7),queue(host(X5)))
          | ~ leq(host(X7),host(X6)) )
      & ! [X13,X14] :
          ( leq(index(pendack,host(X14)),host(X13))
          | ~ setIn(X14,alive)
          | elec_2 != index(status,host(X14))
          | ~ setIn(X13,alive)
          | ~ setIn(host(X14),index(down,host(X13))) )
      & ! [X29,X28,X27] :
          ( ~ elem(m_Down(X28),queue(host(X29)))
          | ~ setIn(X29,alive)
          | ~ setIn(X27,alive)
          | host(X27) != host(X28)
          | leq(host(X27),host(X29))
          | elec_2 != index(status,host(X27)) )
      & ! [X18,X19] :
          ( leq(index(pendack,host(X18)),host(X19))
          | elec_2 != index(status,host(X18))
          | ~ setIn(X18,alive)
          | leq(host(X19),host(X18))
          | ~ setIn(X19,alive)
          | elec_2 != index(status,host(X19)) )
      & ! [X4] :
          ( index(elid,host(X4)) = X4
          | ( elec_2 != index(status,host(X4))
            & elec_1 != index(status,host(X4)) )
          | ~ setIn(X4,alive) )
      & ! [X20,X21] :
          ( ~ leq(index(pendack,host(X20)),index(pendack,host(X21)))
          | ~ setIn(X21,alive)
          | elec_2 != index(status,host(X21))
          | leq(host(X20),host(X21))
          | elec_2 != index(status,host(X20))
          | ~ setIn(X20,alive) )
      & ! [X17,X16,X15] :
          ( ~ elem(m_Ack(X15,X16),queue(host(X15)))
          | elec_2 != index(status,host(X17))
          | ~ setIn(X15,alive)
          | elec_2 != index(status,host(X15))
          | ~ setIn(X17,alive)
          | host(X16) != host(X17) )
      & ! [X24,X26,X25] :
          ( leq(index(pendack,host(X24)),host(X25))
          | ~ setIn(X24,alive)
          | ~ setIn(X25,alive)
          | host(X26) != host(X24)
          | ~ elem(m_Down(X26),queue(host(X25)))
          | elec_2 != index(status,host(X24)) )
      & ! [X11,X12] :
          ( ~ elem(m_Ack(X12,X11),queue(host(X12)))
          | ~ setIn(X11,alive)
          | elec_2 != index(status,host(X11)) )
      & queue(host(X0)) = cons(m_Down(X1),X3) ),
    inference(ennf_transformation,[],[f94]) ).

fof(f94,plain,
    ~ ! [X1,X3,X0] :
        ( ( ! [X10] :
              ( elec_2 = index(status,host(X10))
             => ~ leq(index(pendack,host(X10)),host(X10)) )
          & ! [X9,X8] :
              ( ( host(X8) = host(X9)
                & X8 != X9 )
             => ( ~ setIn(X9,alive)
                | ~ setIn(X8,alive) ) )
          & ! [X22,X23] :
              ( elem(m_Halt(X23),queue(host(X22)))
             => ~ leq(host(X22),host(X23)) )
          & ! [X5,X7,X6] :
              ( elem(m_Ack(X6,X7),queue(host(X5)))
             => ~ leq(host(X7),host(X6)) )
          & ! [X13,X14] :
              ( ( setIn(X14,alive)
                & elec_2 = index(status,host(X14))
                & setIn(X13,alive)
                & setIn(host(X14),index(down,host(X13))) )
             => leq(index(pendack,host(X14)),host(X13)) )
          & ! [X29,X28,X27] :
              ( ( setIn(X29,alive)
                & setIn(X27,alive)
                & host(X27) = host(X28)
                & ~ leq(host(X27),host(X29))
                & elec_2 = index(status,host(X27)) )
             => ~ elem(m_Down(X28),queue(host(X29))) )
          & ! [X18,X19] :
              ( ( elec_2 = index(status,host(X18))
                & setIn(X18,alive)
                & ~ leq(host(X19),host(X18))
                & setIn(X19,alive)
                & elec_2 = index(status,host(X19)) )
             => leq(index(pendack,host(X18)),host(X19)) )
          & ! [X4] :
              ( ( ( elec_2 = index(status,host(X4))
                  | elec_1 = index(status,host(X4)) )
                & setIn(X4,alive) )
             => index(elid,host(X4)) = X4 )
          & ! [X20,X21] :
              ( ( setIn(X21,alive)
                & elec_2 = index(status,host(X21))
                & ~ leq(host(X20),host(X21))
                & elec_2 = index(status,host(X20))
                & setIn(X20,alive) )
             => ~ leq(index(pendack,host(X20)),index(pendack,host(X21))) )
          & ! [X17,X16,X15] :
              ( ( elec_2 = index(status,host(X17))
                & setIn(X15,alive)
                & elec_2 = index(status,host(X15))
                & setIn(X17,alive)
                & host(X16) = host(X17) )
             => ~ elem(m_Ack(X15,X16),queue(host(X15))) )
          & ! [X24,X26,X25] :
              ( ( setIn(X24,alive)
                & setIn(X25,alive)
                & host(X26) = host(X24)
                & elem(m_Down(X26),queue(host(X25)))
                & elec_2 = index(status,host(X24)) )
             => leq(index(pendack,host(X24)),host(X25)) )
          & ! [X11,X12] :
              ( ( setIn(X11,alive)
                & elec_2 = index(status,host(X11)) )
             => ~ elem(m_Ack(X12,X11),queue(host(X12))) )
          & queue(host(X0)) = cons(m_Down(X1),X3) )
       => ( setIn(X0,alive)
         => ( ~ leq(host(X0),host(X1))
           => ( ~ ( ( norm = index(status,host(X0))
                    & host(X1) = index(ldr,host(X0)) )
                  | ( host(X1) = host(index(elid,host(X0)))
                    & wait = index(status,host(X0)) ) )
             => ( ( ! [X30] :
                      ( ( leq(s(zero),X30)
                        & ~ leq(host(X0),X30) )
                     => ( host(X1) = X30
                        | setIn(X30,index(down,host(X0))) ) )
                  & elec_1 = index(status,host(X0)) )
               => ( ~ leq(nbr_proc,host(X0))
                 => ! [X31] :
                      ( host(X0) = host(X31)
                     => ! [X32] :
                          ( host(X0) != host(X32)
                         => ( ( ~ leq(host(X31),host(X32))
                              & setIn(X32,alive)
                              & setIn(X31,alive)
                              & elec_2 = index(status,host(X32)) )
                           => ~ leq(s(host(X0)),index(pendack,host(X32))) ) ) ) ) ) ) ) ) ),
    inference(rectify,[],[f68]) ).

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

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

fof(f266,plain,
    ~ leq(host(sK6),host(sK7)),
    inference(cnf_transformation,[],[f174]) ).

fof(f380,plain,
    ( leq(host(sK5),host(sK7))
    | ~ leq(s(zero),host(sK7))
    | leq(index(pendack,host(sK7)),host(sK5))
    | host(sK3) = host(sK7) ),
    inference(subsumption_resolution,[],[f379,f265]) ).

fof(f265,plain,
    elec_2 = index(status,host(sK7)),
    inference(cnf_transformation,[],[f174]) ).

fof(f379,plain,
    ( host(sK3) = host(sK7)
    | elec_2 != index(status,host(sK7))
    | leq(host(sK5),host(sK7))
    | ~ leq(s(zero),host(sK7))
    | leq(index(pendack,host(sK7)),host(sK5)) ),
    inference(resolution,[],[f368,f267]) ).

fof(f267,plain,
    setIn(sK7,alive),
    inference(cnf_transformation,[],[f174]) ).

fof(f368,plain,
    ! [X0] :
      ( ~ setIn(X0,alive)
      | ~ leq(s(zero),host(X0))
      | elec_2 != index(status,host(X0))
      | host(X0) = host(sK3)
      | leq(host(sK5),host(X0))
      | leq(index(pendack,host(X0)),host(sK5)) ),
    inference(subsumption_resolution,[],[f367,f255]) ).

fof(f255,plain,
    setIn(sK5,alive),
    inference(cnf_transformation,[],[f174]) ).

fof(f367,plain,
    ! [X0] :
      ( host(X0) = host(sK3)
      | elec_2 != index(status,host(X0))
      | ~ setIn(X0,alive)
      | leq(index(pendack,host(X0)),host(sK5))
      | ~ leq(s(zero),host(X0))
      | leq(host(sK5),host(X0))
      | ~ setIn(sK5,alive) ),
    inference(resolution,[],[f270,f272]) ).

fof(f272,plain,
    ! [X9] :
      ( setIn(X9,index(down,host(sK5)))
      | host(sK3) = X9
      | leq(host(sK5),X9)
      | ~ leq(s(zero),X9) ),
    inference(cnf_transformation,[],[f174]) ).

fof(f270,plain,
    ! [X10,X11] :
      ( ~ setIn(host(X10),index(down,host(X11)))
      | ~ setIn(X10,alive)
      | ~ setIn(X11,alive)
      | elec_2 != index(status,host(X10))
      | leq(index(pendack,host(X10)),host(X11)) ),
    inference(cnf_transformation,[],[f174]) ).

fof(f296,plain,
    ! [X0] : leq(s(zero),host(X0)),
    inference(cnf_transformation,[],[f87]) ).

fof(f87,plain,
    ! [X0] : leq(s(zero),host(X0)),
    inference(rectify,[],[f3]) ).

fof(f3,axiom,
    ! [X2] : leq(s(zero),host(X2)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_02) ).

fof(f403,plain,
    ( host(sK3) != host(sK7)
    | leq(index(pendack,host(sK7)),host(sK5)) ),
    inference(subsumption_resolution,[],[f402,f265]) ).

fof(f402,plain,
    ( leq(index(pendack,host(sK7)),host(sK5))
    | host(sK3) != host(sK7)
    | elec_2 != index(status,host(sK7)) ),
    inference(resolution,[],[f397,f267]) ).

fof(f397,plain,
    ! [X0] :
      ( ~ setIn(X0,alive)
      | host(X0) != host(sK3)
      | elec_2 != index(status,host(X0))
      | leq(index(pendack,host(X0)),host(sK5)) ),
    inference(subsumption_resolution,[],[f394,f255]) ).

fof(f394,plain,
    ! [X0] :
      ( ~ setIn(X0,alive)
      | host(X0) != host(sK3)
      | leq(index(pendack,host(X0)),host(sK5))
      | elec_2 != index(status,host(X0))
      | ~ setIn(sK5,alive) ),
    inference(resolution,[],[f393,f257]) ).

fof(f257,plain,
    ! [X24,X25,X23] :
      ( ~ elem(m_Down(X23),queue(host(X24)))
      | ~ setIn(X25,alive)
      | host(X23) != host(X25)
      | elec_2 != index(status,host(X25))
      | ~ setIn(X24,alive)
      | leq(index(pendack,host(X25)),host(X24)) ),
    inference(cnf_transformation,[],[f174]) ).

fof(f393,plain,
    elem(m_Down(sK3),queue(host(sK5))),
    inference(superposition,[],[f327,f276]) ).

fof(f276,plain,
    queue(host(sK5)) = cons(m_Down(sK3),sK4),
    inference(cnf_transformation,[],[f174]) ).

fof(f327,plain,
    ! [X2,X1] : elem(X1,cons(X1,X2)),
    inference(equality_resolution,[],[f219]) ).

fof(f219,plain,
    ! [X2,X0,X1] :
      ( elem(X0,cons(X1,X2))
      | X0 != X1 ),
    inference(cnf_transformation,[],[f155]) ).

fof(f155,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(rectify,[],[f154]) ).

fof(f154,plain,
    ! [X2,X1,X0] :
      ( ( elem(X2,cons(X1,X0))
        | ( ~ elem(X2,X0)
          & X1 != X2 ) )
      & ( elem(X2,X0)
        | X1 = X2
        | ~ elem(X2,cons(X1,X0)) ) ),
    inference(flattening,[],[f153]) ).

fof(f153,plain,
    ! [X2,X1,X0] :
      ( ( elem(X2,cons(X1,X0))
        | ( ~ elem(X2,X0)
          & X1 != X2 ) )
      & ( elem(X2,X0)
        | X1 = X2
        | ~ elem(X2,cons(X1,X0)) ) ),
    inference(nnf_transformation,[],[f88]) ).

fof(f88,plain,
    ! [X2,X1,X0] :
      ( elem(X2,cons(X1,X0))
    <=> ( elem(X2,X0)
        | X1 = X2 ) ),
    inference(rectify,[],[f47]) ).

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

fof(f566,plain,
    ( host(sK5) = index(pendack,host(sK7))
    | ~ leq(index(pendack,host(sK7)),host(sK5)) ),
    inference(resolution,[],[f314,f473]) ).

fof(f473,plain,
    leq(host(sK5),index(pendack,host(sK7))),
    inference(resolution,[],[f449,f263]) ).

fof(f449,plain,
    ! [X3,X4] :
      ( ~ leq(s(X3),X4)
      | leq(X3,X4) ),
    inference(resolution,[],[f226,f291]) ).

fof(f291,plain,
    ! [X0,X1] :
      ( leq(X0,s(X1))
      | ~ leq(X0,X1) ),
    inference(cnf_transformation,[],[f181]) ).

fof(f181,plain,
    ! [X0,X1] :
      ( ( leq(X0,X1)
        | s(X1) = X0
        | ~ leq(X0,s(X1)) )
      & ( leq(X0,s(X1))
        | ( ~ leq(X0,X1)
          & s(X1) != X0 ) ) ),
    inference(flattening,[],[f180]) ).

fof(f180,plain,
    ! [X0,X1] :
      ( ( leq(X0,X1)
        | s(X1) = X0
        | ~ leq(X0,s(X1)) )
      & ( leq(X0,s(X1))
        | ( ~ leq(X0,X1)
          & s(X1) != X0 ) ) ),
    inference(nnf_transformation,[],[f82]) ).

fof(f82,plain,
    ! [X0,X1] :
      ( ( leq(X0,X1)
        | s(X1) = X0 )
    <=> leq(X0,s(X1)) ),
    inference(rectify,[],[f65]) ).

fof(f65,axiom,
    ! [X4,X5] :
      ( leq(X4,s(X5))
    <=> ( leq(X4,X5)
        | s(X5) = X4 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_64) ).

fof(f226,plain,
    ! [X0,X1] :
      ( ~ leq(s(X1),s(X0))
      | leq(X1,X0) ),
    inference(cnf_transformation,[],[f158]) ).

fof(f158,plain,
    ! [X0,X1] :
      ( ( leq(X1,X0)
        | ~ leq(s(X1),s(X0)) )
      & ( leq(s(X1),s(X0))
        | ~ leq(X1,X0) ) ),
    inference(nnf_transformation,[],[f92]) ).

fof(f92,plain,
    ! [X0,X1] :
      ( leq(X1,X0)
    <=> leq(s(X1),s(X0)) ),
    inference(rectify,[],[f64]) ).

fof(f64,axiom,
    ! [X5,X4] :
      ( leq(s(X4),s(X5))
    <=> leq(X4,X5) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_63) ).

fof(f314,plain,
    ! [X0,X1] :
      ( ~ leq(X0,X1)
      | X0 = X1
      | ~ leq(X1,X0) ),
    inference(cnf_transformation,[],[f193]) ).

fof(f193,plain,
    ! [X0,X1] :
      ( ( X0 = X1
        | ~ leq(X1,X0)
        | ~ leq(X0,X1) )
      & ( ( leq(X1,X0)
          & leq(X0,X1) )
        | X0 != X1 ) ),
    inference(rectify,[],[f192]) ).

fof(f192,plain,
    ! [X1,X0] :
      ( ( X0 = X1
        | ~ leq(X0,X1)
        | ~ leq(X1,X0) )
      & ( ( leq(X0,X1)
          & leq(X1,X0) )
        | X0 != X1 ) ),
    inference(flattening,[],[f191]) ).

fof(f191,plain,
    ! [X1,X0] :
      ( ( X0 = X1
        | ~ leq(X0,X1)
        | ~ leq(X1,X0) )
      & ( ( leq(X0,X1)
          & leq(X1,X0) )
        | X0 != X1 ) ),
    inference(nnf_transformation,[],[f107]) ).

fof(f107,plain,
    ! [X1,X0] :
      ( X0 = X1
    <=> ( leq(X0,X1)
        & leq(X1,X0) ) ),
    inference(rectify,[],[f62]) ).

fof(f62,axiom,
    ! [X5,X4] :
      ( ( leq(X4,X5)
        & leq(X5,X4) )
    <=> X4 = X5 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_61) ).

fof(f263,plain,
    leq(s(host(sK5)),index(pendack,host(sK7))),
    inference(cnf_transformation,[],[f174]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : SWV460+1 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.34  % Computer : n014.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit   : 300
% 0.13/0.34  % WCLimit    : 300
% 0.13/0.34  % DateTime   : Tue Aug 30 19:31:33 EDT 2022
% 0.13/0.34  % CPUTime    : 
% 0.19/0.47  % (5310)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 0.19/0.47  % (5302)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.19/0.47  % (5301)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.19/0.48  % (5295)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.19/0.48  % (5309)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.19/0.49  % (5294)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.49  % (5295)Instruction limit reached!
% 0.19/0.49  % (5295)------------------------------
% 0.19/0.49  % (5295)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.49  % (5295)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.49  % (5295)Termination reason: Unknown
% 0.19/0.49  % (5295)Termination phase: Saturation
% 0.19/0.49  
% 0.19/0.49  % (5295)Memory used [KB]: 5628
% 0.19/0.49  % (5295)Time elapsed: 0.075 s
% 0.19/0.49  % (5295)Instructions burned: 8 (million)
% 0.19/0.49  % (5295)------------------------------
% 0.19/0.49  % (5295)------------------------------
% 0.19/0.50  % (5317)ott+10_7:2_awrs=decay:awrsf=8:bd=preordered:drc=off:fd=preordered:fde=unused:fsr=off:slsq=on:slsqc=2:slsqr=5,8:sp=const_min:spb=units:to=lpo:i=355:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/355Mi)
% 0.19/0.51  % (5288)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/191324Mi)
% 0.19/0.51  % (5310)First to succeed.
% 0.19/0.52  % (5303)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 0.19/0.52  TRYING [4]
% 0.19/0.52  % (5310)Refutation found. Thanks to Tanya!
% 0.19/0.52  % SZS status Theorem for theBenchmark
% 0.19/0.52  % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.52  % (5310)------------------------------
% 0.19/0.52  % (5310)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52  % (5310)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52  % (5310)Termination reason: Refutation
% 0.19/0.52  
% 0.19/0.52  % (5310)Memory used [KB]: 1535
% 0.19/0.52  % (5310)Time elapsed: 0.088 s
% 0.19/0.52  % (5310)Instructions burned: 23 (million)
% 0.19/0.52  % (5310)------------------------------
% 0.19/0.52  % (5310)------------------------------
% 0.19/0.52  % (5287)Success in time 0.175 s
%------------------------------------------------------------------------------