TSTP Solution File: SWV474+1 by Vampire-SAT---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : SWV474+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s

% Computer : n020.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Sun May  5 10:59:14 EDT 2024

% Result   : Theorem 119.02s 17.34s
% Output   : Refutation 119.02s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   22
%            Number of leaves      :   12
% Syntax   : Number of formulae    :   82 (  32 unt;   0 def)
%            Number of atoms       :  949 ( 476 equ)
%            Maximal formula atoms :  138 (  11 avg)
%            Number of connectives : 1390 ( 523   ~; 424   |; 371   &)
%                                         (   6 <=>;  66  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   30 (   7 avg)
%            Maximal term depth    :    4 (   2 avg)
%            Number of predicates  :    9 (   7 usr;   1 prp; 0-2 aty)
%            Number of functors    :   26 (  26 usr;  18 con; 0-2 aty)
%            Number of variables   :  453 ( 398   !;  55   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1096363,plain,
    $false,
    inference(trivial_inequality_removal,[],[f1096359]) ).

fof(f1096359,plain,
    host(sK9) != host(sK9),
    inference(resolution,[],[f244247,f325402]) ).

fof(f325402,plain,
    setIn(host(sK9),index(down,nbr_proc)),
    inference(forward_demodulation,[],[f325343,f350]) ).

fof(f350,plain,
    nbr_proc = host(sK7),
    inference(forward_demodulation,[],[f218,f222]) ).

fof(f222,plain,
    nbr_proc = host(sK12),
    inference(cnf_transformation,[],[f161]) ).

fof(f161,plain,
    ( elem(m_Down(sK10),queue(host(sK9)))
    & setIn(sK9,alive)
    & elec_1 = index(status,host(sK12))
    & nbr_proc = host(sK12)
    & host(sK12) = host(sK10)
    & elem(m_Down(sK11),sK6)
    & ! [X7] :
        ( host(sK11) = X7
        | host(sK8) = X7
        | setIn(X7,index(down,host(sK7)))
        | ~ leq(s(zero),X7)
        | leq(host(sK12),X7) )
    & host(sK7) = host(sK12)
    & host(sK7) != host(sK9)
    & ( elec_1 != index(status,host(sK7))
      | sP1(sK8,sK7) )
    & ( host(sK8) != host(index(elid,host(sK7)))
      | wait != index(status,host(sK7)) )
    & ( norm != index(status,host(sK7))
      | host(sK8) != index(ldr,host(sK7)) )
    & ~ leq(host(sK7),host(sK8))
    & setIn(sK7,alive)
    & queue(host(sK7)) = cons(m_Down(sK8),sK6)
    & ! [X8,X9,X10,X11] :
        ( ~ elem(m_Down(X9),queue(host(X8)))
        | ~ setIn(X8,alive)
        | elec_1 != index(status,host(X11))
        | host(X11) != host(X9)
        | nbr_proc != host(X11)
        | ~ elem(m_Down(X10),queue(host(X11)))
        | sP0(X10,X11) )
    & ! [X12,X13,X14,X15] :
        ( ~ setIn(host(X13),index(down,host(X14)))
        | ~ elem(m_Down(X15),queue(host(X12)))
        | host(X14) != host(X15)
        | host(X13) != host(X12)
        | ~ setIn(X14,alive)
        | ~ setIn(X12,alive)
        | host(X14) = host(X12) )
    & ! [X16,X17,X18,X19] :
        ( ~ elem(m_Down(X17),queue(host(X18)))
        | ~ elem(m_Down(X19),queue(host(X16)))
        | host(X19) != host(X18)
        | host(X17) != host(X16)
        | ~ setIn(X18,alive)
        | ~ setIn(X16,alive)
        | host(X18) = host(X16) )
    & ! [X20,X21,X22] :
        ( ~ elem(m_Down(X20),queue(host(X21)))
        | host(X21) != host(index(elid,host(X22)))
        | wait != index(status,host(X22))
        | host(X22) != host(X20)
        | ~ setIn(X22,alive)
        | host(X21) = host(X22) )
    & ! [X23,X24,X25] :
        ( ~ elem(m_Down(X23),queue(host(X24)))
        | host(X24) != index(ldr,host(X25))
        | norm != index(status,host(X25))
        | host(X23) != host(X25)
        | ~ setIn(X25,alive)
        | host(X24) = host(X25) )
    & ! [X26] :
        ( index(elid,host(X26)) = X26
        | ~ setIn(X26,alive)
        | ( elec_2 != index(status,host(X26))
          & elec_1 != index(status,host(X26)) ) )
    & ! [X27,X28] :
        ( ~ setIn(X28,alive)
        | ~ setIn(X27,alive)
        | host(X27) != host(X28)
        | X27 = X28 )
    & ! [X29,X30] :
        ( ~ elem(m_NotNorm(X29),queue(host(X30)))
        | nbr_proc != host(X30) )
    & ! [X31,X32] :
        ( host(X31) != host(X32)
        | ~ elem(m_Down(X32),queue(host(X31))) )
    & ! [X33,X34] :
        ( ~ leq(host(X33),host(X34))
        | ~ elem(m_Ldr(X34),queue(host(X33))) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK6,sK7,sK8,sK9,sK10,sK11,sK12])],[f157,f160,f159,f158]) ).

fof(f158,plain,
    ( ? [X0,X1,X2] :
        ( ? [X3] :
            ( ? [X4,X5,X6] :
                ( elem(m_Down(X4),queue(host(X3)))
                & setIn(X3,alive)
                & elec_1 = index(status,host(X6))
                & nbr_proc = host(X6)
                & host(X4) = host(X6)
                & elem(m_Down(X5),X0)
                & ! [X7] :
                    ( host(X5) = X7
                    | host(X2) = X7
                    | setIn(X7,index(down,host(X1)))
                    | ~ leq(s(zero),X7)
                    | leq(host(X6),X7) )
                & host(X1) = host(X6) )
            & host(X3) != host(X1) )
        & ( elec_1 != index(status,host(X1))
          | sP1(X2,X1) )
        & ( host(X2) != host(index(elid,host(X1)))
          | wait != index(status,host(X1)) )
        & ( norm != index(status,host(X1))
          | host(X2) != index(ldr,host(X1)) )
        & ~ leq(host(X1),host(X2))
        & setIn(X1,alive)
        & queue(host(X1)) = cons(m_Down(X2),X0)
        & ! [X8,X9,X10,X11] :
            ( ~ elem(m_Down(X9),queue(host(X8)))
            | ~ setIn(X8,alive)
            | elec_1 != index(status,host(X11))
            | host(X11) != host(X9)
            | nbr_proc != host(X11)
            | ~ elem(m_Down(X10),queue(host(X11)))
            | sP0(X10,X11) )
        & ! [X12,X13,X14,X15] :
            ( ~ setIn(host(X13),index(down,host(X14)))
            | ~ elem(m_Down(X15),queue(host(X12)))
            | host(X14) != host(X15)
            | host(X13) != host(X12)
            | ~ setIn(X14,alive)
            | ~ setIn(X12,alive)
            | host(X14) = host(X12) )
        & ! [X16,X17,X18,X19] :
            ( ~ elem(m_Down(X17),queue(host(X18)))
            | ~ elem(m_Down(X19),queue(host(X16)))
            | host(X19) != host(X18)
            | host(X17) != host(X16)
            | ~ setIn(X18,alive)
            | ~ setIn(X16,alive)
            | host(X18) = host(X16) )
        & ! [X20,X21,X22] :
            ( ~ elem(m_Down(X20),queue(host(X21)))
            | host(X21) != host(index(elid,host(X22)))
            | wait != index(status,host(X22))
            | host(X22) != host(X20)
            | ~ setIn(X22,alive)
            | host(X21) = host(X22) )
        & ! [X23,X24,X25] :
            ( ~ elem(m_Down(X23),queue(host(X24)))
            | host(X24) != index(ldr,host(X25))
            | norm != index(status,host(X25))
            | host(X23) != host(X25)
            | ~ setIn(X25,alive)
            | host(X24) = host(X25) )
        & ! [X26] :
            ( index(elid,host(X26)) = X26
            | ~ setIn(X26,alive)
            | ( elec_2 != index(status,host(X26))
              & elec_1 != index(status,host(X26)) ) )
        & ! [X27,X28] :
            ( ~ setIn(X28,alive)
            | ~ setIn(X27,alive)
            | host(X27) != host(X28)
            | X27 = X28 )
        & ! [X29,X30] :
            ( ~ elem(m_NotNorm(X29),queue(host(X30)))
            | nbr_proc != host(X30) )
        & ! [X31,X32] :
            ( host(X31) != host(X32)
            | ~ elem(m_Down(X32),queue(host(X31))) )
        & ! [X33,X34] :
            ( ~ leq(host(X33),host(X34))
            | ~ elem(m_Ldr(X34),queue(host(X33))) ) )
   => ( ? [X3] :
          ( ? [X6,X5,X4] :
              ( elem(m_Down(X4),queue(host(X3)))
              & setIn(X3,alive)
              & elec_1 = index(status,host(X6))
              & nbr_proc = host(X6)
              & host(X4) = host(X6)
              & elem(m_Down(X5),sK6)
              & ! [X7] :
                  ( host(X5) = X7
                  | host(sK8) = X7
                  | setIn(X7,index(down,host(sK7)))
                  | ~ leq(s(zero),X7)
                  | leq(host(X6),X7) )
              & host(X6) = host(sK7) )
          & host(X3) != host(sK7) )
      & ( elec_1 != index(status,host(sK7))
        | sP1(sK8,sK7) )
      & ( host(sK8) != host(index(elid,host(sK7)))
        | wait != index(status,host(sK7)) )
      & ( norm != index(status,host(sK7))
        | host(sK8) != index(ldr,host(sK7)) )
      & ~ leq(host(sK7),host(sK8))
      & setIn(sK7,alive)
      & queue(host(sK7)) = cons(m_Down(sK8),sK6)
      & ! [X8,X9,X10,X11] :
          ( ~ elem(m_Down(X9),queue(host(X8)))
          | ~ setIn(X8,alive)
          | elec_1 != index(status,host(X11))
          | host(X11) != host(X9)
          | nbr_proc != host(X11)
          | ~ elem(m_Down(X10),queue(host(X11)))
          | sP0(X10,X11) )
      & ! [X12,X13,X14,X15] :
          ( ~ setIn(host(X13),index(down,host(X14)))
          | ~ elem(m_Down(X15),queue(host(X12)))
          | host(X14) != host(X15)
          | host(X13) != host(X12)
          | ~ setIn(X14,alive)
          | ~ setIn(X12,alive)
          | host(X14) = host(X12) )
      & ! [X16,X17,X18,X19] :
          ( ~ elem(m_Down(X17),queue(host(X18)))
          | ~ elem(m_Down(X19),queue(host(X16)))
          | host(X19) != host(X18)
          | host(X17) != host(X16)
          | ~ setIn(X18,alive)
          | ~ setIn(X16,alive)
          | host(X18) = host(X16) )
      & ! [X20,X21,X22] :
          ( ~ elem(m_Down(X20),queue(host(X21)))
          | host(X21) != host(index(elid,host(X22)))
          | wait != index(status,host(X22))
          | host(X22) != host(X20)
          | ~ setIn(X22,alive)
          | host(X21) = host(X22) )
      & ! [X23,X24,X25] :
          ( ~ elem(m_Down(X23),queue(host(X24)))
          | host(X24) != index(ldr,host(X25))
          | norm != index(status,host(X25))
          | host(X23) != host(X25)
          | ~ setIn(X25,alive)
          | host(X24) = host(X25) )
      & ! [X26] :
          ( index(elid,host(X26)) = X26
          | ~ setIn(X26,alive)
          | ( elec_2 != index(status,host(X26))
            & elec_1 != index(status,host(X26)) ) )
      & ! [X27,X28] :
          ( ~ setIn(X28,alive)
          | ~ setIn(X27,alive)
          | host(X27) != host(X28)
          | X27 = X28 )
      & ! [X29,X30] :
          ( ~ elem(m_NotNorm(X29),queue(host(X30)))
          | nbr_proc != host(X30) )
      & ! [X31,X32] :
          ( host(X31) != host(X32)
          | ~ elem(m_Down(X32),queue(host(X31))) )
      & ! [X33,X34] :
          ( ~ leq(host(X33),host(X34))
          | ~ elem(m_Ldr(X34),queue(host(X33))) ) ) ),
    introduced(choice_axiom,[]) ).

fof(f159,plain,
    ( ? [X3] :
        ( ? [X6,X5,X4] :
            ( elem(m_Down(X4),queue(host(X3)))
            & setIn(X3,alive)
            & elec_1 = index(status,host(X6))
            & nbr_proc = host(X6)
            & host(X4) = host(X6)
            & elem(m_Down(X5),sK6)
            & ! [X7] :
                ( host(X5) = X7
                | host(sK8) = X7
                | setIn(X7,index(down,host(sK7)))
                | ~ leq(s(zero),X7)
                | leq(host(X6),X7) )
            & host(X6) = host(sK7) )
        & host(X3) != host(sK7) )
   => ( ? [X6,X5,X4] :
          ( elem(m_Down(X4),queue(host(sK9)))
          & setIn(sK9,alive)
          & elec_1 = index(status,host(X6))
          & nbr_proc = host(X6)
          & host(X4) = host(X6)
          & elem(m_Down(X5),sK6)
          & ! [X7] :
              ( host(X5) = X7
              | host(sK8) = X7
              | setIn(X7,index(down,host(sK7)))
              | ~ leq(s(zero),X7)
              | leq(host(X6),X7) )
          & host(X6) = host(sK7) )
      & host(sK7) != host(sK9) ) ),
    introduced(choice_axiom,[]) ).

fof(f160,plain,
    ( ? [X6,X5,X4] :
        ( elem(m_Down(X4),queue(host(sK9)))
        & setIn(sK9,alive)
        & elec_1 = index(status,host(X6))
        & nbr_proc = host(X6)
        & host(X4) = host(X6)
        & elem(m_Down(X5),sK6)
        & ! [X7] :
            ( host(X5) = X7
            | host(sK8) = X7
            | setIn(X7,index(down,host(sK7)))
            | ~ leq(s(zero),X7)
            | leq(host(X6),X7) )
        & host(X6) = host(sK7) )
   => ( elem(m_Down(sK10),queue(host(sK9)))
      & setIn(sK9,alive)
      & elec_1 = index(status,host(sK12))
      & nbr_proc = host(sK12)
      & host(sK12) = host(sK10)
      & elem(m_Down(sK11),sK6)
      & ! [X7] :
          ( host(sK11) = X7
          | host(sK8) = X7
          | setIn(X7,index(down,host(sK7)))
          | ~ leq(s(zero),X7)
          | leq(host(sK12),X7) )
      & host(sK7) = host(sK12) ) ),
    introduced(choice_axiom,[]) ).

fof(f157,plain,
    ? [X0,X1,X2] :
      ( ? [X3] :
          ( ? [X4,X5,X6] :
              ( elem(m_Down(X4),queue(host(X3)))
              & setIn(X3,alive)
              & elec_1 = index(status,host(X6))
              & nbr_proc = host(X6)
              & host(X4) = host(X6)
              & elem(m_Down(X5),X0)
              & ! [X7] :
                  ( host(X5) = X7
                  | host(X2) = X7
                  | setIn(X7,index(down,host(X1)))
                  | ~ leq(s(zero),X7)
                  | leq(host(X6),X7) )
              & host(X1) = host(X6) )
          & host(X3) != host(X1) )
      & ( elec_1 != index(status,host(X1))
        | sP1(X2,X1) )
      & ( host(X2) != host(index(elid,host(X1)))
        | wait != index(status,host(X1)) )
      & ( norm != index(status,host(X1))
        | host(X2) != index(ldr,host(X1)) )
      & ~ leq(host(X1),host(X2))
      & setIn(X1,alive)
      & queue(host(X1)) = cons(m_Down(X2),X0)
      & ! [X8,X9,X10,X11] :
          ( ~ elem(m_Down(X9),queue(host(X8)))
          | ~ setIn(X8,alive)
          | elec_1 != index(status,host(X11))
          | host(X11) != host(X9)
          | nbr_proc != host(X11)
          | ~ elem(m_Down(X10),queue(host(X11)))
          | sP0(X10,X11) )
      & ! [X12,X13,X14,X15] :
          ( ~ setIn(host(X13),index(down,host(X14)))
          | ~ elem(m_Down(X15),queue(host(X12)))
          | host(X14) != host(X15)
          | host(X13) != host(X12)
          | ~ setIn(X14,alive)
          | ~ setIn(X12,alive)
          | host(X14) = host(X12) )
      & ! [X16,X17,X18,X19] :
          ( ~ elem(m_Down(X17),queue(host(X18)))
          | ~ elem(m_Down(X19),queue(host(X16)))
          | host(X19) != host(X18)
          | host(X17) != host(X16)
          | ~ setIn(X18,alive)
          | ~ setIn(X16,alive)
          | host(X18) = host(X16) )
      & ! [X20,X21,X22] :
          ( ~ elem(m_Down(X20),queue(host(X21)))
          | host(X21) != host(index(elid,host(X22)))
          | wait != index(status,host(X22))
          | host(X22) != host(X20)
          | ~ setIn(X22,alive)
          | host(X21) = host(X22) )
      & ! [X23,X24,X25] :
          ( ~ elem(m_Down(X23),queue(host(X24)))
          | host(X24) != index(ldr,host(X25))
          | norm != index(status,host(X25))
          | host(X23) != host(X25)
          | ~ setIn(X25,alive)
          | host(X24) = host(X25) )
      & ! [X26] :
          ( index(elid,host(X26)) = X26
          | ~ setIn(X26,alive)
          | ( elec_2 != index(status,host(X26))
            & elec_1 != index(status,host(X26)) ) )
      & ! [X27,X28] :
          ( ~ setIn(X28,alive)
          | ~ setIn(X27,alive)
          | host(X27) != host(X28)
          | X27 = X28 )
      & ! [X29,X30] :
          ( ~ elem(m_NotNorm(X29),queue(host(X30)))
          | nbr_proc != host(X30) )
      & ! [X31,X32] :
          ( host(X31) != host(X32)
          | ~ elem(m_Down(X32),queue(host(X31))) )
      & ! [X33,X34] :
          ( ~ leq(host(X33),host(X34))
          | ~ elem(m_Ldr(X34),queue(host(X33))) ) ),
    inference(rectify,[],[f144]) ).

fof(f144,plain,
    ? [X0,X2,X3] :
      ( ? [X33] :
          ( ? [X34,X35,X36] :
              ( elem(m_Down(X34),queue(host(X33)))
              & setIn(X33,alive)
              & elec_1 = index(status,host(X36))
              & nbr_proc = host(X36)
              & host(X36) = host(X34)
              & elem(m_Down(X35),X0)
              & ! [X37] :
                  ( host(X35) = X37
                  | host(X3) = X37
                  | setIn(X37,index(down,host(X2)))
                  | ~ leq(s(zero),X37)
                  | leq(host(X36),X37) )
              & host(X2) = host(X36) )
          & host(X2) != host(X33) )
      & ( elec_1 != index(status,host(X2))
        | sP1(X3,X2) )
      & ( host(X3) != host(index(elid,host(X2)))
        | wait != index(status,host(X2)) )
      & ( norm != index(status,host(X2))
        | host(X3) != index(ldr,host(X2)) )
      & ~ leq(host(X2),host(X3))
      & setIn(X2,alive)
      & queue(host(X2)) = cons(m_Down(X3),X0)
      & ! [X4,X5,X6,X7] :
          ( ~ elem(m_Down(X5),queue(host(X4)))
          | ~ setIn(X4,alive)
          | elec_1 != index(status,host(X7))
          | host(X5) != host(X7)
          | nbr_proc != host(X7)
          | ~ elem(m_Down(X6),queue(host(X7)))
          | sP0(X6,X7) )
      & ! [X9,X10,X11,X12] :
          ( ~ setIn(host(X10),index(down,host(X11)))
          | ~ elem(m_Down(X12),queue(host(X9)))
          | host(X12) != host(X11)
          | host(X9) != host(X10)
          | ~ setIn(X11,alive)
          | ~ setIn(X9,alive)
          | host(X11) = host(X9) )
      & ! [X13,X14,X15,X16] :
          ( ~ elem(m_Down(X14),queue(host(X15)))
          | ~ elem(m_Down(X16),queue(host(X13)))
          | host(X15) != host(X16)
          | host(X13) != host(X14)
          | ~ setIn(X15,alive)
          | ~ setIn(X13,alive)
          | host(X13) = host(X15) )
      & ! [X17,X18,X19] :
          ( ~ elem(m_Down(X17),queue(host(X18)))
          | host(X18) != host(index(elid,host(X19)))
          | wait != index(status,host(X19))
          | host(X19) != host(X17)
          | ~ setIn(X19,alive)
          | host(X19) = host(X18) )
      & ! [X20,X21,X22] :
          ( ~ elem(m_Down(X20),queue(host(X21)))
          | host(X21) != index(ldr,host(X22))
          | norm != index(status,host(X22))
          | host(X22) != host(X20)
          | ~ setIn(X22,alive)
          | host(X21) = host(X22) )
      & ! [X23] :
          ( index(elid,host(X23)) = X23
          | ~ setIn(X23,alive)
          | ( elec_2 != index(status,host(X23))
            & elec_1 != index(status,host(X23)) ) )
      & ! [X24,X25] :
          ( ~ setIn(X25,alive)
          | ~ setIn(X24,alive)
          | host(X24) != host(X25)
          | X24 = X25 )
      & ! [X26,X27] :
          ( ~ elem(m_NotNorm(X26),queue(host(X27)))
          | nbr_proc != host(X27) )
      & ! [X28,X29] :
          ( host(X28) != host(X29)
          | ~ elem(m_Down(X29),queue(host(X28))) )
      & ! [X30,X31] :
          ( ~ leq(host(X30),host(X31))
          | ~ elem(m_Ldr(X31),queue(host(X30))) ) ),
    inference(definition_folding,[],[f126,f143,f142]) ).

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

fof(f143,plain,
    ! [X3,X2] :
      ( ? [X32] :
          ( host(X3) != X32
          & ~ setIn(X32,index(down,host(X2)))
          & leq(s(zero),X32)
          & ~ leq(host(X2),X32) )
      | ~ sP1(X3,X2) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).

fof(f126,plain,
    ? [X0,X2,X3] :
      ( ? [X33] :
          ( ? [X34,X35,X36] :
              ( elem(m_Down(X34),queue(host(X33)))
              & setIn(X33,alive)
              & elec_1 = index(status,host(X36))
              & nbr_proc = host(X36)
              & host(X36) = host(X34)
              & elem(m_Down(X35),X0)
              & ! [X37] :
                  ( host(X35) = X37
                  | host(X3) = X37
                  | setIn(X37,index(down,host(X2)))
                  | ~ leq(s(zero),X37)
                  | leq(host(X36),X37) )
              & host(X2) = host(X36) )
          & host(X2) != host(X33) )
      & ( elec_1 != index(status,host(X2))
        | ? [X32] :
            ( host(X3) != X32
            & ~ setIn(X32,index(down,host(X2)))
            & leq(s(zero),X32)
            & ~ leq(host(X2),X32) ) )
      & ( host(X3) != host(index(elid,host(X2)))
        | wait != index(status,host(X2)) )
      & ( norm != index(status,host(X2))
        | host(X3) != index(ldr,host(X2)) )
      & ~ leq(host(X2),host(X3))
      & setIn(X2,alive)
      & queue(host(X2)) = cons(m_Down(X3),X0)
      & ! [X4,X5,X6,X7] :
          ( ~ elem(m_Down(X5),queue(host(X4)))
          | ~ setIn(X4,alive)
          | elec_1 != index(status,host(X7))
          | host(X5) != host(X7)
          | nbr_proc != host(X7)
          | ~ elem(m_Down(X6),queue(host(X7)))
          | ? [X8] :
              ( host(X6) != X8
              & ~ setIn(X8,index(down,host(X7)))
              & leq(s(zero),X8)
              & ~ leq(host(X7),X8) ) )
      & ! [X9,X10,X11,X12] :
          ( ~ setIn(host(X10),index(down,host(X11)))
          | ~ elem(m_Down(X12),queue(host(X9)))
          | host(X12) != host(X11)
          | host(X9) != host(X10)
          | ~ setIn(X11,alive)
          | ~ setIn(X9,alive)
          | host(X11) = host(X9) )
      & ! [X13,X14,X15,X16] :
          ( ~ elem(m_Down(X14),queue(host(X15)))
          | ~ elem(m_Down(X16),queue(host(X13)))
          | host(X15) != host(X16)
          | host(X13) != host(X14)
          | ~ setIn(X15,alive)
          | ~ setIn(X13,alive)
          | host(X13) = host(X15) )
      & ! [X17,X18,X19] :
          ( ~ elem(m_Down(X17),queue(host(X18)))
          | host(X18) != host(index(elid,host(X19)))
          | wait != index(status,host(X19))
          | host(X19) != host(X17)
          | ~ setIn(X19,alive)
          | host(X19) = host(X18) )
      & ! [X20,X21,X22] :
          ( ~ elem(m_Down(X20),queue(host(X21)))
          | host(X21) != index(ldr,host(X22))
          | norm != index(status,host(X22))
          | host(X22) != host(X20)
          | ~ setIn(X22,alive)
          | host(X21) = host(X22) )
      & ! [X23] :
          ( index(elid,host(X23)) = X23
          | ~ setIn(X23,alive)
          | ( elec_2 != index(status,host(X23))
            & elec_1 != index(status,host(X23)) ) )
      & ! [X24,X25] :
          ( ~ setIn(X25,alive)
          | ~ setIn(X24,alive)
          | host(X24) != host(X25)
          | X24 = X25 )
      & ! [X26,X27] :
          ( ~ elem(m_NotNorm(X26),queue(host(X27)))
          | nbr_proc != host(X27) )
      & ! [X28,X29] :
          ( host(X28) != host(X29)
          | ~ elem(m_Down(X29),queue(host(X28))) )
      & ! [X30,X31] :
          ( ~ leq(host(X30),host(X31))
          | ~ elem(m_Ldr(X31),queue(host(X30))) ) ),
    inference(flattening,[],[f125]) ).

fof(f125,plain,
    ? [X0,X2,X3] :
      ( ? [X33] :
          ( ? [X34,X35,X36] :
              ( elem(m_Down(X34),queue(host(X33)))
              & setIn(X33,alive)
              & elec_1 = index(status,host(X36))
              & nbr_proc = host(X36)
              & host(X36) = host(X34)
              & elem(m_Down(X35),X0)
              & ! [X37] :
                  ( host(X35) = X37
                  | host(X3) = X37
                  | setIn(X37,index(down,host(X2)))
                  | ~ leq(s(zero),X37)
                  | leq(host(X36),X37) )
              & host(X2) = host(X36) )
          & host(X2) != host(X33) )
      & ( elec_1 != index(status,host(X2))
        | ? [X32] :
            ( host(X3) != X32
            & ~ setIn(X32,index(down,host(X2)))
            & leq(s(zero),X32)
            & ~ leq(host(X2),X32) ) )
      & ( host(X3) != host(index(elid,host(X2)))
        | wait != index(status,host(X2)) )
      & ( norm != index(status,host(X2))
        | host(X3) != index(ldr,host(X2)) )
      & ~ leq(host(X2),host(X3))
      & setIn(X2,alive)
      & queue(host(X2)) = cons(m_Down(X3),X0)
      & ! [X4,X5,X6,X7] :
          ( ~ elem(m_Down(X5),queue(host(X4)))
          | ~ setIn(X4,alive)
          | elec_1 != index(status,host(X7))
          | host(X5) != host(X7)
          | nbr_proc != host(X7)
          | ~ elem(m_Down(X6),queue(host(X7)))
          | ? [X8] :
              ( host(X6) != X8
              & ~ setIn(X8,index(down,host(X7)))
              & leq(s(zero),X8)
              & ~ leq(host(X7),X8) ) )
      & ! [X9,X10,X11,X12] :
          ( ~ setIn(host(X10),index(down,host(X11)))
          | ~ elem(m_Down(X12),queue(host(X9)))
          | host(X12) != host(X11)
          | host(X9) != host(X10)
          | ~ setIn(X11,alive)
          | ~ setIn(X9,alive)
          | host(X11) = host(X9) )
      & ! [X13,X14,X15,X16] :
          ( ~ elem(m_Down(X14),queue(host(X15)))
          | ~ elem(m_Down(X16),queue(host(X13)))
          | host(X15) != host(X16)
          | host(X13) != host(X14)
          | ~ setIn(X15,alive)
          | ~ setIn(X13,alive)
          | host(X13) = host(X15) )
      & ! [X17,X18,X19] :
          ( ~ elem(m_Down(X17),queue(host(X18)))
          | host(X18) != host(index(elid,host(X19)))
          | wait != index(status,host(X19))
          | host(X19) != host(X17)
          | ~ setIn(X19,alive)
          | host(X19) = host(X18) )
      & ! [X20,X21,X22] :
          ( ~ elem(m_Down(X20),queue(host(X21)))
          | host(X21) != index(ldr,host(X22))
          | norm != index(status,host(X22))
          | host(X22) != host(X20)
          | ~ setIn(X22,alive)
          | host(X21) = host(X22) )
      & ! [X23] :
          ( index(elid,host(X23)) = X23
          | ~ setIn(X23,alive)
          | ( elec_2 != index(status,host(X23))
            & elec_1 != index(status,host(X23)) ) )
      & ! [X24,X25] :
          ( ~ setIn(X25,alive)
          | ~ setIn(X24,alive)
          | host(X24) != host(X25)
          | X24 = X25 )
      & ! [X26,X27] :
          ( ~ elem(m_NotNorm(X26),queue(host(X27)))
          | nbr_proc != host(X27) )
      & ! [X28,X29] :
          ( host(X28) != host(X29)
          | ~ elem(m_Down(X29),queue(host(X28))) )
      & ! [X30,X31] :
          ( ~ leq(host(X30),host(X31))
          | ~ elem(m_Ldr(X31),queue(host(X30))) ) ),
    inference(ennf_transformation,[],[f69]) ).

fof(f69,plain,
    ~ ! [X0,X2,X3] :
        ( ( queue(host(X2)) = cons(m_Down(X3),X0)
          & ! [X4,X5,X6,X7] :
              ( ( elec_1 = index(status,host(X7))
                & host(X5) = host(X7)
                & nbr_proc = host(X7)
                & elem(m_Down(X6),queue(host(X7)))
                & ! [X8] :
                    ( ( leq(s(zero),X8)
                      & ~ leq(host(X7),X8) )
                   => ( host(X6) = X8
                      | setIn(X8,index(down,host(X7))) ) ) )
             => ~ ( elem(m_Down(X5),queue(host(X4)))
                  & setIn(X4,alive) ) )
          & ! [X9,X10,X11,X12] :
              ( ( host(X12) = host(X11)
                & host(X9) = host(X10)
                & setIn(X11,alive)
                & setIn(X9,alive)
                & host(X11) != host(X9) )
             => ~ ( setIn(host(X10),index(down,host(X11)))
                  & elem(m_Down(X12),queue(host(X9))) ) )
          & ! [X13,X14,X15,X16] :
              ( ( host(X15) = host(X16)
                & host(X13) = host(X14)
                & setIn(X15,alive)
                & setIn(X13,alive)
                & host(X13) != host(X15) )
             => ~ ( elem(m_Down(X14),queue(host(X15)))
                  & elem(m_Down(X16),queue(host(X13))) ) )
          & ! [X17,X18,X19] :
              ( ( host(X18) = host(index(elid,host(X19)))
                & wait = index(status,host(X19))
                & host(X19) = host(X17)
                & setIn(X19,alive)
                & host(X19) != host(X18) )
             => ~ elem(m_Down(X17),queue(host(X18))) )
          & ! [X20,X21,X22] :
              ( ( host(X21) = index(ldr,host(X22))
                & norm = index(status,host(X22))
                & host(X22) = host(X20)
                & setIn(X22,alive)
                & host(X21) != host(X22) )
             => ~ elem(m_Down(X20),queue(host(X21))) )
          & ! [X23] :
              ( ( setIn(X23,alive)
                & ( elec_2 = index(status,host(X23))
                  | elec_1 = index(status,host(X23)) ) )
             => index(elid,host(X23)) = X23 )
          & ! [X24,X25] :
              ( ( host(X24) = host(X25)
                & X24 != X25 )
             => ( ~ setIn(X25,alive)
                | ~ setIn(X24,alive) ) )
          & ! [X26,X27] :
              ( nbr_proc = host(X27)
             => ~ elem(m_NotNorm(X26),queue(host(X27))) )
          & ! [X28,X29] :
              ( elem(m_Down(X29),queue(host(X28)))
             => host(X28) != host(X29) )
          & ! [X30,X31] :
              ( elem(m_Ldr(X31),queue(host(X30)))
             => ~ leq(host(X30),host(X31)) ) )
       => ( setIn(X2,alive)
         => ( ~ leq(host(X2),host(X3))
           => ( ~ ( ( host(X3) = host(index(elid,host(X2)))
                    & wait = index(status,host(X2)) )
                  | ( norm = index(status,host(X2))
                    & host(X3) = index(ldr,host(X2)) ) )
             => ( ~ ( elec_1 = index(status,host(X2))
                    & ! [X32] :
                        ( ( leq(s(zero),X32)
                          & ~ leq(host(X2),X32) )
                       => ( host(X3) = X32
                          | setIn(X32,index(down,host(X2))) ) ) )
               => ! [X33] :
                    ( host(X2) != host(X33)
                   => ! [X34,X35,X36] :
                        ( host(X2) = host(X36)
                       => ( ( elec_1 = index(status,host(X36))
                            & nbr_proc = host(X36)
                            & host(X36) = host(X34)
                            & elem(m_Down(X35),X0)
                            & ! [X37] :
                                ( ( leq(s(zero),X37)
                                  & ~ leq(host(X36),X37) )
                               => ( host(X35) = X37
                                  | host(X3) = X37
                                  | setIn(X37,index(down,host(X2))) ) ) )
                         => ~ ( elem(m_Down(X34),queue(host(X33)))
                              & setIn(X33,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(X13) = host(X15)
                & nbr_proc = host(X13)
                & elem(m_Down(X14),queue(host(X13)))
                & ! [X16] :
                    ( ( leq(s(zero),X16)
                      & ~ leq(host(X13),X16) )
                   => ( host(X14) = X16
                      | setIn(X16,index(down,host(X13))) ) ) )
             => ~ ( elem(m_Down(X15),queue(host(X6)))
                  & setIn(X6,alive) ) )
          & ! [X6,X15,X14,X13] :
              ( ( host(X13) = host(X14)
                & host(X6) = host(X15)
                & setIn(X14,alive)
                & setIn(X6,alive)
                & host(X6) != host(X14) )
             => ~ ( setIn(host(X15),index(down,host(X14)))
                  & elem(m_Down(X13),queue(host(X6))) ) )
          & ! [X6,X15,X14,X13] :
              ( ( host(X13) = host(X14)
                & host(X6) = host(X15)
                & setIn(X14,alive)
                & setIn(X6,alive)
                & host(X6) != host(X14) )
             => ~ ( elem(m_Down(X15),queue(host(X14)))
                  & elem(m_Down(X13),queue(host(X6))) ) )
          & ! [X6,X14,X13] :
              ( ( host(X14) = host(index(elid,host(X13)))
                & wait = index(status,host(X13))
                & host(X6) = host(X13)
                & setIn(X13,alive)
                & host(X13) != host(X14) )
             => ~ elem(m_Down(X6),queue(host(X14))) )
          & ! [X6,X14,X13] :
              ( ( host(X14) = index(ldr,host(X13))
                & norm = index(status,host(X13))
                & host(X6) = host(X13)
                & setIn(X13,alive)
                & host(X13) != host(X14) )
             => ~ elem(m_Down(X6),queue(host(X14))) )
          & ! [X6] :
              ( ( setIn(X6,alive)
                & ( elec_2 = index(status,host(X6))
                  | elec_1 = index(status,host(X6)) ) )
             => index(elid,host(X6)) = X6 )
          & ! [X6,X13] :
              ( ( host(X6) = host(X13)
                & X6 != X13 )
             => ( ~ setIn(X13,alive)
                | ~ setIn(X6,alive) ) )
          & ! [X6,X13] :
              ( nbr_proc = host(X13)
             => ~ elem(m_NotNorm(X6),queue(host(X13))) )
          & ! [X6,X13] :
              ( elem(m_Down(X13),queue(host(X6)))
             => host(X6) != host(X13) )
          & ! [X6,X13] :
              ( elem(m_Ldr(X13),queue(host(X6)))
             => ~ leq(host(X6),host(X13)) ) )
       => ( setIn(X4,alive)
         => ( ~ leq(host(X4),host(X5))
           => ( ~ ( ( host(X5) = host(index(elid,host(X4)))
                    & wait = index(status,host(X4)) )
                  | ( norm = index(status,host(X4))
                    & host(X5) = index(ldr,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))) ) ) )
               => ! [X6] :
                    ( host(X4) != host(X6)
                   => ! [X17,X18,X19] :
                        ( host(X4) = host(X19)
                       => ( ( elec_1 = index(status,host(X19))
                            & nbr_proc = host(X19)
                            & host(X19) = host(X17)
                            & elem(m_Down(X18),X11)
                            & ! [X16] :
                                ( ( leq(s(zero),X16)
                                  & ~ leq(host(X19),X16) )
                               => ( host(X18) = X16
                                  | host(X5) = X16
                                  | setIn(X16,index(down,host(X4))) ) ) )
                         => ~ ( elem(m_Down(X17),queue(host(X6)))
                              & setIn(X6,alive) ) ) ) ) ) ) ) ) ),
    inference(negated_conjecture,[],[f67]) ).

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

fof(f218,plain,
    host(sK7) = host(sK12),
    inference(cnf_transformation,[],[f161]) ).

fof(f325343,plain,
    setIn(host(sK9),index(down,host(sK7))),
    inference(unit_resulting_resolution,[],[f4994,f242,f325219,f325220,f349]) ).

fof(f349,plain,
    ! [X7] :
      ( ~ leq(s(zero),X7)
      | host(sK11) = X7
      | host(sK8) = X7
      | setIn(X7,index(down,host(sK7)))
      | leq(nbr_proc,X7) ),
    inference(forward_demodulation,[],[f219,f222]) ).

fof(f219,plain,
    ! [X7] :
      ( host(sK11) = X7
      | host(sK8) = X7
      | setIn(X7,index(down,host(sK7)))
      | ~ leq(s(zero),X7)
      | leq(host(sK12),X7) ),
    inference(cnf_transformation,[],[f161]) ).

fof(f325220,plain,
    host(sK9) != host(sK11),
    inference(unit_resulting_resolution,[],[f4043,f240711]) ).

fof(f240711,plain,
    ! [X0] :
      ( ~ elem(m_Down(X0),queue(nbr_proc))
      | host(X0) != host(sK9) ),
    inference(forward_demodulation,[],[f240710,f350]) ).

fof(f240710,plain,
    ! [X0] :
      ( host(X0) != host(sK9)
      | ~ elem(m_Down(X0),queue(host(sK7))) ),
    inference(subsumption_resolution,[],[f240709,f351]) ).

fof(f351,plain,
    nbr_proc != host(sK9),
    inference(forward_demodulation,[],[f217,f350]) ).

fof(f217,plain,
    host(sK7) != host(sK9),
    inference(cnf_transformation,[],[f161]) ).

fof(f240709,plain,
    ! [X0] :
      ( nbr_proc = host(sK9)
      | host(X0) != host(sK9)
      | ~ elem(m_Down(X0),queue(host(sK7))) ),
    inference(forward_demodulation,[],[f240708,f350]) ).

fof(f240708,plain,
    ! [X0] :
      ( host(X0) != host(sK9)
      | host(sK7) = host(sK9)
      | ~ elem(m_Down(X0),queue(host(sK7))) ),
    inference(subsumption_resolution,[],[f240707,f224]) ).

fof(f224,plain,
    setIn(sK9,alive),
    inference(cnf_transformation,[],[f161]) ).

fof(f240707,plain,
    ! [X0] :
      ( host(X0) != host(sK9)
      | ~ setIn(sK9,alive)
      | host(sK7) = host(sK9)
      | ~ elem(m_Down(X0),queue(host(sK7))) ),
    inference(subsumption_resolution,[],[f240698,f212]) ).

fof(f212,plain,
    setIn(sK7,alive),
    inference(cnf_transformation,[],[f161]) ).

fof(f240698,plain,
    ! [X0] :
      ( host(X0) != host(sK9)
      | ~ setIn(sK7,alive)
      | ~ setIn(sK9,alive)
      | host(sK7) = host(sK9)
      | ~ elem(m_Down(X0),queue(host(sK7))) ),
    inference(resolution,[],[f346,f155205]) ).

fof(f155205,plain,
    sP19(sK7,sK9),
    inference(unit_resulting_resolution,[],[f350,f155201]) ).

fof(f155201,plain,
    ! [X0] :
      ( host(X0) != nbr_proc
      | sP19(X0,sK9) ),
    inference(forward_demodulation,[],[f155196,f348]) ).

fof(f348,plain,
    nbr_proc = host(sK10),
    inference(forward_demodulation,[],[f221,f222]) ).

fof(f221,plain,
    host(sK12) = host(sK10),
    inference(cnf_transformation,[],[f161]) ).

fof(f155196,plain,
    ! [X0] :
      ( host(X0) != host(sK10)
      | sP19(X0,sK9) ),
    inference(resolution,[],[f345,f225]) ).

fof(f225,plain,
    elem(m_Down(sK10),queue(host(sK9))),
    inference(cnf_transformation,[],[f161]) ).

fof(f345,plain,
    ! [X18,X19,X16] :
      ( ~ elem(m_Down(X19),queue(host(X16)))
      | host(X19) != host(X18)
      | sP19(X18,X16) ),
    inference(cnf_transformation,[],[f345_D]) ).

fof(f345_D,plain,
    ! [X16,X18] :
      ( ! [X19] :
          ( ~ elem(m_Down(X19),queue(host(X16)))
          | host(X19) != host(X18) )
    <=> ~ sP19(X18,X16) ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP19])]) ).

fof(f346,plain,
    ! [X18,X16,X17] :
      ( ~ sP19(X18,X16)
      | host(X17) != host(X16)
      | ~ setIn(X18,alive)
      | ~ setIn(X16,alive)
      | host(X18) = host(X16)
      | ~ elem(m_Down(X17),queue(host(X18))) ),
    inference(general_splitting,[],[f208,f345_D]) ).

fof(f208,plain,
    ! [X18,X19,X16,X17] :
      ( ~ elem(m_Down(X17),queue(host(X18)))
      | ~ elem(m_Down(X19),queue(host(X16)))
      | host(X19) != host(X18)
      | host(X17) != host(X16)
      | ~ setIn(X18,alive)
      | ~ setIn(X16,alive)
      | host(X18) = host(X16) ),
    inference(cnf_transformation,[],[f161]) ).

fof(f4043,plain,
    elem(m_Down(sK11),queue(nbr_proc)),
    inference(superposition,[],[f4019,f358]) ).

fof(f358,plain,
    cons(m_Down(sK8),sK6) = queue(nbr_proc),
    inference(forward_demodulation,[],[f211,f350]) ).

fof(f211,plain,
    queue(host(sK7)) = cons(m_Down(sK8),sK6),
    inference(cnf_transformation,[],[f161]) ).

fof(f4019,plain,
    ! [X0] : elem(m_Down(sK11),cons(X0,sK6)),
    inference(unit_resulting_resolution,[],[f220,f323]) ).

fof(f323,plain,
    ! [X2,X0,X1] :
      ( ~ elem(X0,X2)
      | elem(X0,cons(X1,X2)) ),
    inference(cnf_transformation,[],[f191]) ).

fof(f191,plain,
    ! [X0,X1,X2] :
      ( ( elem(X0,cons(X1,X2))
        | ( ~ elem(X0,X2)
          & X0 != X1 ) )
      & ( elem(X0,X2)
        | X0 = X1
        | ~ elem(X0,cons(X1,X2)) ) ),
    inference(flattening,[],[f190]) ).

fof(f190,plain,
    ! [X0,X1,X2] :
      ( ( elem(X0,cons(X1,X2))
        | ( ~ elem(X0,X2)
          & X0 != X1 ) )
      & ( elem(X0,X2)
        | X0 = X1
        | ~ elem(X0,cons(X1,X2)) ) ),
    inference(nnf_transformation,[],[f122]) ).

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

fof(f47,axiom,
    ! [X4,X5,X3] :
      ( elem(X4,cons(X5,X3))
    <=> ( elem(X4,X3)
        | X4 = X5 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_46) ).

fof(f220,plain,
    elem(m_Down(sK11),sK6),
    inference(cnf_transformation,[],[f161]) ).

fof(f325219,plain,
    host(sK8) != host(sK9),
    inference(unit_resulting_resolution,[],[f382,f240711]) ).

fof(f382,plain,
    elem(m_Down(sK8),queue(nbr_proc)),
    inference(superposition,[],[f338,f358]) ).

fof(f338,plain,
    ! [X2,X1] : elem(X1,cons(X1,X2)),
    inference(equality_resolution,[],[f322]) ).

fof(f322,plain,
    ! [X2,X0,X1] :
      ( elem(X0,cons(X1,X2))
      | X0 != X1 ),
    inference(cnf_transformation,[],[f191]) ).

fof(f242,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',axiom_02) ).

fof(f4994,plain,
    ~ leq(nbr_proc,host(sK9)),
    inference(unit_resulting_resolution,[],[f351,f239,f306]) ).

fof(f306,plain,
    ! [X0,X1] :
      ( ~ leq(X1,X0)
      | X0 = X1
      | ~ leq(X0,X1) ),
    inference(cnf_transformation,[],[f187]) ).

fof(f187,plain,
    ! [X0,X1] :
      ( ( ( leq(X1,X0)
          & leq(X0,X1) )
        | X0 != X1 )
      & ( X0 = X1
        | ~ leq(X1,X0)
        | ~ leq(X0,X1) ) ),
    inference(flattening,[],[f186]) ).

fof(f186,plain,
    ! [X0,X1] :
      ( ( ( leq(X1,X0)
          & leq(X0,X1) )
        | X0 != X1 )
      & ( X0 = X1
        | ~ leq(X1,X0)
        | ~ leq(X0,X1) ) ),
    inference(nnf_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',axiom_61) ).

fof(f239,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',axiom_04) ).

fof(f244247,plain,
    ! [X0] :
      ( ~ setIn(host(X0),index(down,nbr_proc))
      | host(X0) != host(sK9) ),
    inference(forward_demodulation,[],[f244246,f350]) ).

fof(f244246,plain,
    ! [X0] :
      ( host(X0) != host(sK9)
      | ~ setIn(host(X0),index(down,host(sK7))) ),
    inference(subsumption_resolution,[],[f244245,f351]) ).

fof(f244245,plain,
    ! [X0] :
      ( nbr_proc = host(sK9)
      | host(X0) != host(sK9)
      | ~ setIn(host(X0),index(down,host(sK7))) ),
    inference(forward_demodulation,[],[f244244,f350]) ).

fof(f244244,plain,
    ! [X0] :
      ( host(X0) != host(sK9)
      | host(sK7) = host(sK9)
      | ~ setIn(host(X0),index(down,host(sK7))) ),
    inference(subsumption_resolution,[],[f244243,f224]) ).

fof(f244243,plain,
    ! [X0] :
      ( host(X0) != host(sK9)
      | ~ setIn(sK9,alive)
      | host(sK7) = host(sK9)
      | ~ setIn(host(X0),index(down,host(sK7))) ),
    inference(subsumption_resolution,[],[f244234,f212]) ).

fof(f244234,plain,
    ! [X0] :
      ( host(X0) != host(sK9)
      | ~ setIn(sK7,alive)
      | ~ setIn(sK9,alive)
      | host(sK7) = host(sK9)
      | ~ setIn(host(X0),index(down,host(sK7))) ),
    inference(resolution,[],[f344,f148770]) ).

fof(f148770,plain,
    sP18(sK7,sK9),
    inference(unit_resulting_resolution,[],[f350,f148766]) ).

fof(f148766,plain,
    ! [X0] :
      ( host(X0) != nbr_proc
      | sP18(X0,sK9) ),
    inference(forward_demodulation,[],[f148761,f348]) ).

fof(f148761,plain,
    ! [X0] :
      ( host(X0) != host(sK10)
      | sP18(X0,sK9) ),
    inference(resolution,[],[f343,f225]) ).

fof(f343,plain,
    ! [X14,X15,X12] :
      ( ~ elem(m_Down(X15),queue(host(X12)))
      | host(X14) != host(X15)
      | sP18(X14,X12) ),
    inference(cnf_transformation,[],[f343_D]) ).

fof(f343_D,plain,
    ! [X12,X14] :
      ( ! [X15] :
          ( ~ elem(m_Down(X15),queue(host(X12)))
          | host(X14) != host(X15) )
    <=> ~ sP18(X14,X12) ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP18])]) ).

fof(f344,plain,
    ! [X14,X12,X13] :
      ( ~ sP18(X14,X12)
      | host(X13) != host(X12)
      | ~ setIn(X14,alive)
      | ~ setIn(X12,alive)
      | host(X14) = host(X12)
      | ~ setIn(host(X13),index(down,host(X14))) ),
    inference(general_splitting,[],[f209,f343_D]) ).

fof(f209,plain,
    ! [X14,X15,X12,X13] :
      ( ~ setIn(host(X13),index(down,host(X14)))
      | ~ elem(m_Down(X15),queue(host(X12)))
      | host(X14) != host(X15)
      | host(X13) != host(X12)
      | ~ setIn(X14,alive)
      | ~ setIn(X12,alive)
      | host(X14) = host(X12) ),
    inference(cnf_transformation,[],[f161]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.10  % Problem    : SWV474+1 : TPTP v8.1.2. Released v4.0.0.
% 0.02/0.12  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.11/0.32  % Computer : n020.cluster.edu
% 0.11/0.32  % Model    : x86_64 x86_64
% 0.11/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32  % Memory   : 8042.1875MB
% 0.11/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32  % CPULimit   : 300
% 0.11/0.32  % WCLimit    : 300
% 0.11/0.32  % DateTime   : Fri May  3 21:05:23 EDT 2024
% 0.11/0.32  % CPUTime    : 
% 0.11/0.32  % (24612)Running in auto input_syntax mode. Trying TPTP
% 0.11/0.34  % (24615)WARNING: value z3 for option sas not known
% 0.11/0.34  % (24616)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.11/0.34  % (24619)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.11/0.34  % (24614)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.11/0.34  % (24618)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.11/0.34  % (24613)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.11/0.34  % (24615)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.11/0.34  % (24617)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.11/0.36  Detected minimum model sizes of [4]
% 0.11/0.36  Detected maximum model sizes of [max]
% 0.11/0.36  TRYING [4]
% 0.17/0.39  Detected minimum model sizes of [4]
% 0.17/0.39  Detected maximum model sizes of [max]
% 0.17/0.39  TRYING [4]
% 0.17/0.40  TRYING [5]
% 0.17/0.49  TRYING [6]
% 1.70/0.60  TRYING [5]
% 2.17/0.65  TRYING [7]
% 4.48/0.98  TRYING [8]
% 7.33/1.45  Detected minimum model sizes of [4]
% 7.33/1.45  Detected maximum model sizes of [max]
% 7.92/1.45  TRYING [4]
% 8.12/1.51  TRYING [5]
% 8.12/1.51  TRYING [9]
% 8.52/1.62  TRYING [6]
% 10.44/1.83  TRYING [7]
% 10.44/1.83  TRYING [6]
% 12.65/2.20  TRYING [8]
% 13.90/2.38  TRYING [10]
% 17.64/2.89  TRYING [9]
% 23.98/3.83  TRYING [11]
% 26.08/4.05  TRYING [10]
% 37.69/5.74  TRYING [11]
% 40.28/6.09  TRYING [12]
% 58.01/8.70  TRYING [12]
% 63.00/9.37  TRYING [13]
% 80.56/11.88  TRYING [13]
% 87.95/12.96  TRYING [14]
% 115.90/16.91  TRYING [14]
% 118.64/17.29  % (24619)First to succeed.
% 119.02/17.31  % (24619)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-24612"
% 119.02/17.34  % (24619)Refutation found. Thanks to Tanya!
% 119.02/17.34  % SZS status Theorem for theBenchmark
% 119.02/17.34  % SZS output start Proof for theBenchmark
% See solution above
% 119.02/17.34  % (24619)------------------------------
% 119.02/17.34  % (24619)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 119.02/17.34  % (24619)Termination reason: Refutation
% 119.02/17.34  
% 119.02/17.34  % (24619)Memory used [KB]: 356959
% 119.02/17.34  % (24619)Time elapsed: 16.965 s
% 119.02/17.34  % (24619)Instructions burned: 49005 (million)
% 119.02/17.34  % (24612)Success in time 16.951 s
%------------------------------------------------------------------------------