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Vampire-SAT---5.0.1.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire-SAT---5.0.1
% Problem  : SWV459+1 : TPTP v9.3.1. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT

% Computer : n009.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Tue Sep 29 01:24:20 PM UTC 2026

% Result   : Theorem 0.97s 0.39s
% Output   : Refutation 0.97s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   16
%            Number of leaves      :   13
% Syntax   : Number of formulae    :  100 (  24 unt;   7 def)
%            Number of atoms       :  773 ( 308 equ)
%            Maximal formula atoms :   98 (   7 avg)
%            Number of connectives : 1089 ( 416   ~; 312   |; 267   &)
%                                         (  10 <=>;  84  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   40 (   6 avg)
%            Maximal term depth    :    4 (   2 avg)
%            Number of predicates  :   12 (  10 usr;   8 prp; 0-2 aty)
%            Number of functors    :   26 (  26 usr;  16 con; 0-2 aty)
%            Number of variables   :  285 (   2 sgn 271   !;  14   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f47,axiom,
    ! [X0,X1,X2] :
      ( elem(X0,cons(X1,X2))
    <=> ( X0 = X1
        | elem(X0,X2) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWV011+0.ax',axiom_46) ).

fof(f60,axiom,
    ! [X0] : leq(X0,X0),
    file('/export/starexec/sandbox/benchmark/Axioms/SWV011+0.ax',axiom_59) ).

fof(f61,axiom,
    ! [X0,X1] :
      ( leq(X0,X1)
      | leq(X1,X0) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWV011+0.ax',axiom_60) ).

fof(f62,axiom,
    ! [X0,X1] :
      ( ( leq(X0,X1)
        & leq(X1,X0) )
    <=> X0 = X1 ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWV011+0.ax',axiom_61) ).

fof(f65,axiom,
    ! [X0,X1] :
      ( leq(X0,s(X1))
    <=> ( X0 = s(X1)
        | leq(X0,X1) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWV011+0.ax',axiom_64) ).

fof(f67,conjecture,
    ! [X0,X1,X2,X3] :
      ( ( ! [X4] : leq(index(pendack,host(X4)),nbr_proc)
        & ! [X4,X5] :
            ( elem(m_Down(X5),queue(host(X4)))
           => ~ setIn(X5,alive) )
        & ! [X4,X5] :
            ( elem(m_Ldr(X5),queue(host(X4)))
           => ~ leq(host(X4),host(X5)) )
        & ! [X4,X5] :
            ( elem(m_Halt(X5),queue(host(X4)))
           => ~ leq(host(X4),host(X5)) )
        & ! [X4,X6,X5] :
            ( elem(m_Ack(X5,X4),queue(host(X6)))
           => ~ leq(host(X4),host(X5)) )
        & ! [X4,X5] :
            ( ( ~ setIn(X4,alive)
              & leq(X5,X4)
              & host(X5) = host(X4) )
           => ~ setIn(X5,alive) )
        & ! [X4,X5] :
            ( ( X5 != X4
              & host(X5) = host(X4) )
           => ( ~ setIn(X4,alive)
              | ~ setIn(X5,alive) ) )
        & ! [X4] :
            ( ( ( index(status,host(X4)) = elec_1
                | index(status,host(X4)) = elec_2 )
              & setIn(X4,alive) )
           => index(elid,host(X4)) = X4 )
        & ! [X4,X6,X5] :
            ( ( setIn(X5,alive)
              & elem(m_Down(X6),queue(host(X5)))
              & host(X6) = host(X4) )
           => ~ ( setIn(X4,alive)
                & index(ldr,host(X4)) = host(X4)
                & index(status,host(X4)) = norm ) )
        & ! [X4,X5] :
            ( ( ~ leq(host(X4),host(X5))
              & setIn(X4,alive)
              & setIn(X5,alive)
              & index(status,host(X4)) = elec_2
              & index(status,host(X5)) = elec_2 )
           => leq(index(pendack,host(X5)),host(X4)) )
        & ! [X4,X6,X5] :
            ( ( setIn(X5,alive)
              & elem(m_Ack(X5,X6),queue(host(X5)))
              & host(X6) = host(X4) )
           => ~ ( setIn(X4,alive)
                & index(ldr,host(X4)) = host(X4)
                & index(status,host(X4)) = norm ) )
        & ! [X4,X5] :
            ( ( ~ leq(index(pendack,host(X5)),host(X4))
              & setIn(X5,alive)
              & index(status,host(X5)) = elec_2 )
           => ~ ( setIn(X4,alive)
                & index(ldr,host(X4)) = host(X4)
                & index(status,host(X4)) = norm ) )
        & ! [X4,X5] :
            ( ( setIn(X4,alive)
              & setIn(X5,alive)
              & index(ldr,host(X4)) = host(X4)
              & index(status,host(X4)) = norm
              & index(status,host(X5)) = norm
              & index(ldr,host(X5)) = host(X5) )
           => X5 = X4 )
        & ! [X4,X5] :
            ( ( ~ leq(host(X4),host(X5))
              & setIn(X4,alive)
              & setIn(X5,alive)
              & index(status,host(X4)) = elec_2
              & index(status,host(X5)) = elec_2 )
           => ~ leq(index(pendack,host(X4)),index(pendack,host(X5))) )
        & ! [X4,X6,X5] :
            ( ( ~ leq(index(pendack,host(X5)),host(X4))
              & setIn(X5,alive)
              & elem(m_Halt(X5),queue(host(X6)))
              & index(status,host(X5)) = elec_2 )
           => ~ ( setIn(X4,alive)
                & index(ldr,host(X4)) = host(X4)
                & index(status,host(X4)) = norm ) )
        & ! [X4,X6,X5] :
            ( ( ! [X7] :
                  ( ( ~ leq(host(X5),X7)
                    & leq(s(zero),X7) )
                 => ( setIn(X7,index(down,host(X5)))
                    | X7 = host(X6) ) )
              & ~ leq(host(X5),host(X4))
              & elem(m_Down(X6),queue(host(X5)))
              & index(status,host(X5)) = elec_1 )
           => ~ ( setIn(X4,alive)
                & index(ldr,host(X4)) = host(X4)
                & index(status,host(X4)) = norm ) )
        & queue(host(X2)) = cons(m_Down(X3),X0) )
     => ( setIn(X2,alive)
       => ( ~ leq(host(X2),host(X3))
         => ( ~ ( ( index(ldr,host(X2)) = host(X3)
                  & index(status,host(X2)) = norm )
                | ( index(status,host(X2)) = wait
                  & host(X3) = host(index(elid,host(X2))) ) )
           => ( ( ! [X4] :
                    ( ( ~ leq(host(X2),X4)
                      & leq(s(zero),X4) )
                   => ( setIn(X4,index(down,host(X2)))
                      | X4 = host(X3) ) )
                & index(status,host(X2)) = elec_1 )
             => ( ~ leq(nbr_proc,host(X2))
               => ! [X4] :
                    ( host(X2) != host(X4)
                   => ! [X8] :
                        ( s(host(X2)) != host(X8)
                       => ( host(X2) != host(X8)
                         => ! [X9] :
                              ( host(X2) = host(X9)
                             => ( ( ~ leq(s(host(X2)),host(X4))
                                  & setIn(X9,alive)
                                  & elem(m_Halt(X9),queue(host(X8))) )
                               => ~ ( setIn(X4,alive)
                                    & index(ldr,host(X4)) = host(X4)
                                    & index(status,host(X4)) = norm ) ) ) ) ) ) ) ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj) ).

fof(f68,negated_conjecture,
    ~ ! [X0,X1,X2,X3] :
        ( ( ! [X4] : leq(index(pendack,host(X4)),nbr_proc)
          & ! [X4,X5] :
              ( elem(m_Down(X5),queue(host(X4)))
             => ~ setIn(X5,alive) )
          & ! [X4,X5] :
              ( elem(m_Ldr(X5),queue(host(X4)))
             => ~ leq(host(X4),host(X5)) )
          & ! [X4,X5] :
              ( elem(m_Halt(X5),queue(host(X4)))
             => ~ leq(host(X4),host(X5)) )
          & ! [X4,X6,X5] :
              ( elem(m_Ack(X5,X4),queue(host(X6)))
             => ~ leq(host(X4),host(X5)) )
          & ! [X4,X5] :
              ( ( ~ setIn(X4,alive)
                & leq(X5,X4)
                & host(X5) = host(X4) )
             => ~ setIn(X5,alive) )
          & ! [X4,X5] :
              ( ( X5 != X4
                & host(X5) = host(X4) )
             => ( ~ setIn(X4,alive)
                | ~ setIn(X5,alive) ) )
          & ! [X4] :
              ( ( ( index(status,host(X4)) = elec_1
                  | index(status,host(X4)) = elec_2 )
                & setIn(X4,alive) )
             => index(elid,host(X4)) = X4 )
          & ! [X4,X6,X5] :
              ( ( setIn(X5,alive)
                & elem(m_Down(X6),queue(host(X5)))
                & host(X6) = host(X4) )
             => ~ ( setIn(X4,alive)
                  & index(ldr,host(X4)) = host(X4)
                  & index(status,host(X4)) = norm ) )
          & ! [X4,X5] :
              ( ( ~ leq(host(X4),host(X5))
                & setIn(X4,alive)
                & setIn(X5,alive)
                & index(status,host(X4)) = elec_2
                & index(status,host(X5)) = elec_2 )
             => leq(index(pendack,host(X5)),host(X4)) )
          & ! [X4,X6,X5] :
              ( ( setIn(X5,alive)
                & elem(m_Ack(X5,X6),queue(host(X5)))
                & host(X6) = host(X4) )
             => ~ ( setIn(X4,alive)
                  & index(ldr,host(X4)) = host(X4)
                  & index(status,host(X4)) = norm ) )
          & ! [X4,X5] :
              ( ( ~ leq(index(pendack,host(X5)),host(X4))
                & setIn(X5,alive)
                & index(status,host(X5)) = elec_2 )
             => ~ ( setIn(X4,alive)
                  & index(ldr,host(X4)) = host(X4)
                  & index(status,host(X4)) = norm ) )
          & ! [X4,X5] :
              ( ( setIn(X4,alive)
                & setIn(X5,alive)
                & index(ldr,host(X4)) = host(X4)
                & index(status,host(X4)) = norm
                & index(status,host(X5)) = norm
                & index(ldr,host(X5)) = host(X5) )
             => X5 = X4 )
          & ! [X4,X5] :
              ( ( ~ leq(host(X4),host(X5))
                & setIn(X4,alive)
                & setIn(X5,alive)
                & index(status,host(X4)) = elec_2
                & index(status,host(X5)) = elec_2 )
             => ~ leq(index(pendack,host(X4)),index(pendack,host(X5))) )
          & ! [X4,X6,X5] :
              ( ( ~ leq(index(pendack,host(X5)),host(X4))
                & setIn(X5,alive)
                & elem(m_Halt(X5),queue(host(X6)))
                & index(status,host(X5)) = elec_2 )
             => ~ ( setIn(X4,alive)
                  & index(ldr,host(X4)) = host(X4)
                  & index(status,host(X4)) = norm ) )
          & ! [X4,X6,X5] :
              ( ( ! [X7] :
                    ( ( ~ leq(host(X5),X7)
                      & leq(s(zero),X7) )
                   => ( setIn(X7,index(down,host(X5)))
                      | X7 = host(X6) ) )
                & ~ leq(host(X5),host(X4))
                & elem(m_Down(X6),queue(host(X5)))
                & index(status,host(X5)) = elec_1 )
             => ~ ( setIn(X4,alive)
                  & index(ldr,host(X4)) = host(X4)
                  & index(status,host(X4)) = norm ) )
          & queue(host(X2)) = cons(m_Down(X3),X0) )
       => ( setIn(X2,alive)
         => ( ~ leq(host(X2),host(X3))
           => ( ~ ( ( index(ldr,host(X2)) = host(X3)
                    & index(status,host(X2)) = norm )
                  | ( index(status,host(X2)) = wait
                    & host(X3) = host(index(elid,host(X2))) ) )
             => ( ( ! [X4] :
                      ( ( ~ leq(host(X2),X4)
                        & leq(s(zero),X4) )
                     => ( setIn(X4,index(down,host(X2)))
                        | X4 = host(X3) ) )
                  & index(status,host(X2)) = elec_1 )
               => ( ~ leq(nbr_proc,host(X2))
                 => ! [X4] :
                      ( host(X2) != host(X4)
                     => ! [X8] :
                          ( s(host(X2)) != host(X8)
                         => ( host(X2) != host(X8)
                           => ! [X9] :
                                ( host(X2) = host(X9)
                               => ( ( ~ leq(s(host(X2)),host(X4))
                                    & setIn(X9,alive)
                                    & elem(m_Halt(X9),queue(host(X8))) )
                                 => ~ ( setIn(X4,alive)
                                      & index(ldr,host(X4)) = host(X4)
                                      & index(status,host(X4)) = norm ) ) ) ) ) ) ) ) ) ) ) ),
    inference(negated_conjecture,[status(cth)],[f67]) ).

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

fof(f85,plain,
    ? [X0,X2,X3] :
      ( ? [X41] :
          ( ? [X42] :
              ( ? [X43] :
                  ( setIn(X41,alive)
                  & host(X41) = index(ldr,host(X41))
                  & norm = index(status,host(X41))
                  & ~ leq(s(host(X2)),host(X41))
                  & setIn(X43,alive)
                  & elem(m_Halt(X43),queue(host(X42)))
                  & host(X2) = host(X43) )
              & host(X2) != host(X42)
              & s(host(X2)) != host(X42) )
          & host(X2) != host(X41) )
      & ~ leq(nbr_proc,host(X2))
      & ! [X40] :
          ( setIn(X40,index(down,host(X2)))
          | host(X3) = X40
          | leq(host(X2),X40)
          | ~ leq(s(zero),X40) )
      & index(status,host(X2)) = elec_1
      & ( host(X3) != index(ldr,host(X2))
        | norm != index(status,host(X2)) )
      & ( wait != index(status,host(X2))
        | host(X3) != host(index(elid,host(X2))) )
      & ~ leq(host(X2),host(X3))
      & setIn(X2,alive)
      & ! [X4] : leq(index(pendack,host(X4)),nbr_proc)
      & ! [X5,X6] :
          ( ~ setIn(X6,alive)
          | ~ elem(m_Down(X6),queue(host(X5))) )
      & ! [X7,X8] :
          ( ~ leq(host(X7),host(X8))
          | ~ elem(m_Ldr(X8),queue(host(X7))) )
      & ! [X9,X10] :
          ( ~ leq(host(X9),host(X10))
          | ~ elem(m_Halt(X10),queue(host(X9))) )
      & ! [X11,X12,X13] :
          ( ~ leq(host(X11),host(X13))
          | ~ elem(m_Ack(X13,X11),queue(host(X12))) )
      & ! [X14,X15] :
          ( ~ setIn(X15,alive)
          | setIn(X14,alive)
          | ~ leq(X15,X14)
          | host(X14) != host(X15) )
      & ! [X16,X17] :
          ( ~ setIn(X16,alive)
          | ~ setIn(X17,alive)
          | X16 = X17
          | host(X16) != host(X17) )
      & ! [X18] :
          ( index(elid,host(X18)) = X18
          | ( elec_1 != index(status,host(X18))
            & elec_2 != index(status,host(X18)) )
          | ~ setIn(X18,alive) )
      & ! [X19,X20,X21] :
          ( ~ setIn(X19,alive)
          | host(X19) != index(ldr,host(X19))
          | norm != index(status,host(X19))
          | ~ setIn(X21,alive)
          | ~ elem(m_Down(X20),queue(host(X21)))
          | host(X19) != host(X20) )
      & ! [X22,X23] :
          ( leq(index(pendack,host(X23)),host(X22))
          | leq(host(X22),host(X23))
          | ~ setIn(X22,alive)
          | ~ setIn(X23,alive)
          | elec_2 != index(status,host(X22))
          | elec_2 != index(status,host(X23)) )
      & ! [X24,X25,X26] :
          ( ~ setIn(X24,alive)
          | host(X24) != index(ldr,host(X24))
          | norm != index(status,host(X24))
          | ~ setIn(X26,alive)
          | ~ elem(m_Ack(X26,X25),queue(host(X26)))
          | host(X24) != host(X25) )
      & ! [X27,X28] :
          ( ~ setIn(X27,alive)
          | host(X27) != index(ldr,host(X27))
          | norm != index(status,host(X27))
          | leq(index(pendack,host(X28)),host(X27))
          | ~ setIn(X28,alive)
          | elec_2 != index(status,host(X28)) )
      & ! [X29,X30] :
          ( X29 = X30
          | ~ setIn(X29,alive)
          | ~ setIn(X30,alive)
          | host(X29) != index(ldr,host(X29))
          | norm != index(status,host(X29))
          | norm != index(status,host(X30))
          | host(X30) != index(ldr,host(X30)) )
      & ! [X31,X32] :
          ( ~ leq(index(pendack,host(X31)),index(pendack,host(X32)))
          | leq(host(X31),host(X32))
          | ~ setIn(X31,alive)
          | ~ setIn(X32,alive)
          | elec_2 != index(status,host(X31))
          | elec_2 != index(status,host(X32)) )
      & ! [X33,X34,X35] :
          ( ~ setIn(X33,alive)
          | host(X33) != index(ldr,host(X33))
          | norm != index(status,host(X33))
          | leq(index(pendack,host(X35)),host(X33))
          | ~ setIn(X35,alive)
          | ~ elem(m_Halt(X35),queue(host(X34)))
          | elec_2 != index(status,host(X35)) )
      & ! [X36,X37,X38] :
          ( ~ setIn(X36,alive)
          | host(X36) != index(ldr,host(X36))
          | norm != index(status,host(X36))
          | ? [X39] :
              ( ~ setIn(X39,index(down,host(X38)))
              & host(X37) != X39
              & ~ leq(host(X38),X39)
              & leq(s(zero),X39) )
          | leq(host(X38),host(X36))
          | ~ elem(m_Down(X37),queue(host(X38)))
          | elec_1 != index(status,host(X38)) )
      & queue(host(X2)) = cons(m_Down(X3),X0) ),
    inference(ennf_transformation,[],[f69]) ).

fof(f86,plain,
    ? [X0,X2,X3] :
      ( ? [X41] :
          ( ? [X42] :
              ( ? [X43] :
                  ( setIn(X41,alive)
                  & host(X41) = index(ldr,host(X41))
                  & norm = index(status,host(X41))
                  & ~ leq(s(host(X2)),host(X41))
                  & setIn(X43,alive)
                  & elem(m_Halt(X43),queue(host(X42)))
                  & host(X2) = host(X43) )
              & host(X2) != host(X42)
              & s(host(X2)) != host(X42) )
          & host(X2) != host(X41) )
      & ~ leq(nbr_proc,host(X2))
      & ! [X40] :
          ( setIn(X40,index(down,host(X2)))
          | host(X3) = X40
          | leq(host(X2),X40)
          | ~ leq(s(zero),X40) )
      & index(status,host(X2)) = elec_1
      & ( host(X3) != index(ldr,host(X2))
        | norm != index(status,host(X2)) )
      & ( wait != index(status,host(X2))
        | host(X3) != host(index(elid,host(X2))) )
      & ~ leq(host(X2),host(X3))
      & setIn(X2,alive)
      & ! [X4] : leq(index(pendack,host(X4)),nbr_proc)
      & ! [X5,X6] :
          ( ~ setIn(X6,alive)
          | ~ elem(m_Down(X6),queue(host(X5))) )
      & ! [X7,X8] :
          ( ~ leq(host(X7),host(X8))
          | ~ elem(m_Ldr(X8),queue(host(X7))) )
      & ! [X9,X10] :
          ( ~ leq(host(X9),host(X10))
          | ~ elem(m_Halt(X10),queue(host(X9))) )
      & ! [X11,X12,X13] :
          ( ~ leq(host(X11),host(X13))
          | ~ elem(m_Ack(X13,X11),queue(host(X12))) )
      & ! [X14,X15] :
          ( ~ setIn(X15,alive)
          | setIn(X14,alive)
          | ~ leq(X15,X14)
          | host(X14) != host(X15) )
      & ! [X16,X17] :
          ( ~ setIn(X16,alive)
          | ~ setIn(X17,alive)
          | X16 = X17
          | host(X16) != host(X17) )
      & ! [X18] :
          ( index(elid,host(X18)) = X18
          | ( elec_1 != index(status,host(X18))
            & elec_2 != index(status,host(X18)) )
          | ~ setIn(X18,alive) )
      & ! [X19,X20,X21] :
          ( ~ setIn(X19,alive)
          | host(X19) != index(ldr,host(X19))
          | norm != index(status,host(X19))
          | ~ setIn(X21,alive)
          | ~ elem(m_Down(X20),queue(host(X21)))
          | host(X19) != host(X20) )
      & ! [X22,X23] :
          ( leq(index(pendack,host(X23)),host(X22))
          | leq(host(X22),host(X23))
          | ~ setIn(X22,alive)
          | ~ setIn(X23,alive)
          | elec_2 != index(status,host(X22))
          | elec_2 != index(status,host(X23)) )
      & ! [X24,X25,X26] :
          ( ~ setIn(X24,alive)
          | host(X24) != index(ldr,host(X24))
          | norm != index(status,host(X24))
          | ~ setIn(X26,alive)
          | ~ elem(m_Ack(X26,X25),queue(host(X26)))
          | host(X24) != host(X25) )
      & ! [X27,X28] :
          ( ~ setIn(X27,alive)
          | host(X27) != index(ldr,host(X27))
          | norm != index(status,host(X27))
          | leq(index(pendack,host(X28)),host(X27))
          | ~ setIn(X28,alive)
          | elec_2 != index(status,host(X28)) )
      & ! [X29,X30] :
          ( X29 = X30
          | ~ setIn(X29,alive)
          | ~ setIn(X30,alive)
          | host(X29) != index(ldr,host(X29))
          | norm != index(status,host(X29))
          | norm != index(status,host(X30))
          | host(X30) != index(ldr,host(X30)) )
      & ! [X31,X32] :
          ( ~ leq(index(pendack,host(X31)),index(pendack,host(X32)))
          | leq(host(X31),host(X32))
          | ~ setIn(X31,alive)
          | ~ setIn(X32,alive)
          | elec_2 != index(status,host(X31))
          | elec_2 != index(status,host(X32)) )
      & ! [X33,X34,X35] :
          ( ~ setIn(X33,alive)
          | host(X33) != index(ldr,host(X33))
          | norm != index(status,host(X33))
          | leq(index(pendack,host(X35)),host(X33))
          | ~ setIn(X35,alive)
          | ~ elem(m_Halt(X35),queue(host(X34)))
          | elec_2 != index(status,host(X35)) )
      & ! [X36,X37,X38] :
          ( ~ setIn(X36,alive)
          | host(X36) != index(ldr,host(X36))
          | norm != index(status,host(X36))
          | ? [X39] :
              ( ~ setIn(X39,index(down,host(X38)))
              & host(X37) != X39
              & ~ leq(host(X38),X39)
              & leq(s(zero),X39) )
          | leq(host(X38),host(X36))
          | ~ elem(m_Down(X37),queue(host(X38)))
          | elec_1 != index(status,host(X38)) )
      & queue(host(X2)) = cons(m_Down(X3),X0) ),
    inference(flattening,[],[f85]) ).

fof(f141,plain,
    ! [X2,X0,X1] :
      ( X0 != X1
      | elem(X0,cons(X1,X2)) ),
    inference(cnf_transformation,[],[f47]) ).

fof(f171,plain,
    ! [X0] : leq(X0,X0),
    inference(cnf_transformation,[],[f60]) ).

fof(f172,plain,
    ! [X0,X1] :
      ( leq(X1,X0)
      | leq(X0,X1) ),
    inference(cnf_transformation,[],[f61]) ).

fof(f173,plain,
    ! [X0,X1] :
      ( X0 = X1
      | ~ leq(X1,X0)
      | ~ leq(X0,X1) ),
    inference(cnf_transformation,[],[f62]) ).

fof(f179,plain,
    ! [X0,X1] :
      ( leq(X0,X1)
      | s(X1) = X0
      | ~ leq(X0,s(X1)) ),
    inference(cnf_transformation,[],[f65]) ).

fof(f186,plain,
    ~ leq(s(host(sK4)),host(sK6)),
    inference(cnf_transformation,[],[f86]) ).

fof(f187,plain,
    norm = index(status,host(sK6)),
    inference(cnf_transformation,[],[f86]) ).

fof(f188,plain,
    host(sK6) = index(ldr,host(sK6)),
    inference(cnf_transformation,[],[f86]) ).

fof(f189,plain,
    setIn(sK6,alive),
    inference(cnf_transformation,[],[f86]) ).

fof(f192,plain,
    ! [X38,X36,X37] :
      ( elec_1 != index(status,host(X38))
      | ~ elem(m_Down(X37),queue(host(X38)))
      | leq(host(X38),host(X36))
      | leq(s(zero),sK7(X37,X38))
      | norm != index(status,host(X36))
      | host(X36) != index(ldr,host(X36))
      | ~ setIn(X36,alive) ),
    inference(cnf_transformation,[],[f86]) ).

fof(f193,plain,
    ! [X38,X36,X37] :
      ( elec_1 != index(status,host(X38))
      | ~ elem(m_Down(X37),queue(host(X38)))
      | leq(host(X38),host(X36))
      | ~ leq(host(X38),sK7(X37,X38))
      | norm != index(status,host(X36))
      | host(X36) != index(ldr,host(X36))
      | ~ setIn(X36,alive) ),
    inference(cnf_transformation,[],[f86]) ).

fof(f194,plain,
    ! [X38,X36,X37] :
      ( elec_1 != index(status,host(X38))
      | ~ elem(m_Down(X37),queue(host(X38)))
      | leq(host(X38),host(X36))
      | host(X37) != sK7(X37,X38)
      | norm != index(status,host(X36))
      | host(X36) != index(ldr,host(X36))
      | ~ setIn(X36,alive) ),
    inference(cnf_transformation,[],[f86]) ).

fof(f195,plain,
    ! [X38,X36,X37] :
      ( elec_1 != index(status,host(X38))
      | ~ elem(m_Down(X37),queue(host(X38)))
      | leq(host(X38),host(X36))
      | ~ setIn(sK7(X37,X38),index(down,host(X38)))
      | norm != index(status,host(X36))
      | host(X36) != index(ldr,host(X36))
      | ~ setIn(X36,alive) ),
    inference(cnf_transformation,[],[f86]) ).

fof(f198,plain,
    host(sK4) != host(sK6),
    inference(cnf_transformation,[],[f86]) ).

fof(f199,plain,
    ! [X40] :
      ( ~ leq(s(zero),X40)
      | leq(host(sK4),X40)
      | host(sK5) = X40
      | setIn(X40,index(down,host(sK4))) ),
    inference(cnf_transformation,[],[f86]) ).

fof(f215,plain,
    queue(host(sK4)) = cons(m_Down(sK5),sK3),
    inference(cnf_transformation,[],[f86]) ).

fof(f219,plain,
    elec_1 = index(status,host(sK4)),
    inference(cnf_transformation,[],[f86]) ).

fof(f227,plain,
    ! [X2,X1] : elem(X1,cons(X1,X2)),
    inference(equality_resolution,[],[f141]) ).

fof(f243,plain,
    ! [X0] : ~ leq(X0,X0),
    inference(consistent_polarity_flipping,[],[f171]) ).

fof(f244,plain,
    ! [X0,X1] :
      ( ~ leq(X0,X1)
      | ~ leq(X1,X0) ),
    inference(consistent_polarity_flipping,[],[f172]) ).

fof(f247,plain,
    ! [X0,X1] :
      ( leq(X1,X0)
      | leq(X0,X1)
      | X0 = X1 ),
    inference(consistent_polarity_flipping,[],[f173]) ).

fof(f253,plain,
    ! [X0,X1] :
      ( leq(X0,s(X1))
      | s(X1) = X0
      | ~ leq(X0,X1) ),
    inference(consistent_polarity_flipping,[],[f179]) ).

fof(f265,plain,
    ! [X40] :
      ( setIn(X40,index(down,host(sK4)))
      | ~ leq(host(sK4),X40)
      | host(sK5) = X40
      | leq(s(zero),X40) ),
    inference(consistent_polarity_flipping,[],[f199]) ).

fof(f266,plain,
    ! [X38,X36,X37] :
      ( ~ elem(m_Down(X37),queue(host(X38)))
      | elec_1 != index(status,host(X38))
      | ~ leq(host(X38),host(X36))
      | ~ setIn(sK7(X37,X38),index(down,host(X38)))
      | norm != index(status,host(X36))
      | host(X36) != index(ldr,host(X36))
      | ~ setIn(X36,alive) ),
    inference(consistent_polarity_flipping,[],[f195]) ).

fof(f267,plain,
    ! [X38,X36,X37] :
      ( host(X37) != sK7(X37,X38)
      | ~ elem(m_Down(X37),queue(host(X38)))
      | ~ leq(host(X38),host(X36))
      | elec_1 != index(status,host(X38))
      | norm != index(status,host(X36))
      | host(X36) != index(ldr,host(X36))
      | ~ setIn(X36,alive) ),
    inference(consistent_polarity_flipping,[],[f194]) ).

fof(f268,plain,
    ! [X38,X36,X37] :
      ( ~ elem(m_Down(X37),queue(host(X38)))
      | elec_1 != index(status,host(X38))
      | ~ leq(host(X38),host(X36))
      | leq(host(X38),sK7(X37,X38))
      | norm != index(status,host(X36))
      | host(X36) != index(ldr,host(X36))
      | ~ setIn(X36,alive) ),
    inference(consistent_polarity_flipping,[],[f193]) ).

fof(f269,plain,
    ! [X38,X36,X37] :
      ( ~ leq(s(zero),sK7(X37,X38))
      | ~ elem(m_Down(X37),queue(host(X38)))
      | ~ leq(host(X38),host(X36))
      | elec_1 != index(status,host(X38))
      | norm != index(status,host(X36))
      | host(X36) != index(ldr,host(X36))
      | ~ setIn(X36,alive) ),
    inference(consistent_polarity_flipping,[],[f192]) ).

fof(f270,plain,
    leq(s(host(sK4)),host(sK6)),
    inference(consistent_polarity_flipping,[],[f186]) ).

fof(f392,definition,
    ( spl10_11
  <=> ! [X1] :
        ( ~ leq(host(sK4),host(X1))
        | ~ setIn(X1,alive)
        | host(X1) != index(ldr,host(X1))
        | norm != index(status,host(X1)) ) ),
    introduced(definition,[new_symbols(definition,[spl10_11])],[avatar_definition]) ).

fof(f393,plain,
    ( ! [X1] :
        ( ~ leq(host(sK4),host(X1))
        | ~ setIn(X1,alive)
        | host(X1) != index(ldr,host(X1))
        | norm != index(status,host(X1)) )
    | ~ spl10_11 ),
    inference(avatar_component_clause,[],[f392]) ).

fof(f439,plain,
    elem(m_Down(sK5),queue(host(sK4))),
    inference(superposition,[],[f227,f215]) ).

fof(f442,plain,
    ! [X0] :
      ( elec_1 != index(status,host(sK4))
      | ~ leq(host(sK4),host(X0))
      | ~ setIn(sK7(sK5,sK4),index(down,host(sK4)))
      | norm != index(status,host(X0))
      | host(X0) != index(ldr,host(X0))
      | ~ setIn(X0,alive) ),
    inference(resolution,[],[f439,f266]) ).

fof(f443,plain,
    ! [X0] :
      ( elec_1 != index(status,host(sK4))
      | ~ leq(host(sK4),host(X0))
      | leq(host(sK4),sK7(sK5,sK4))
      | norm != index(status,host(X0))
      | host(X0) != index(ldr,host(X0))
      | ~ setIn(X0,alive) ),
    inference(resolution,[],[f439,f268]) ).

fof(f471,plain,
    ~ leq(host(sK6),s(host(sK4))),
    inference(resolution,[],[f244,f270]) ).

fof(f628,plain,
    ( s(host(sK4)) = host(sK6)
    | ~ leq(host(sK6),host(sK4)) ),
    inference(resolution,[],[f253,f471]) ).

fof(f632,definition,
    ( spl10_23
  <=> leq(host(sK6),host(sK4)) ),
    introduced(definition,[new_symbols(definition,[spl10_23])],[avatar_definition]) ).

fof(f634,plain,
    ( ~ leq(host(sK6),host(sK4))
    | spl10_23 ),
    inference(avatar_component_clause,[],[f632]) ).

fof(f636,definition,
    ( spl10_24
  <=> s(host(sK4)) = host(sK6) ),
    introduced(definition,[new_symbols(definition,[spl10_24])],[avatar_definition]) ).

fof(f638,plain,
    ( s(host(sK4)) = host(sK6)
    | ~ spl10_24 ),
    inference(avatar_component_clause,[],[f636]) ).

fof(f639,plain,
    ( ~ spl10_23
    | spl10_24 ),
    inference(avatar_split_clause,[],[f628,f636,f632]) ).

fof(f652,plain,
    ( leq(host(sK4),host(sK6))
    | host(sK4) = host(sK6)
    | spl10_23 ),
    inference(resolution,[],[f634,f247]) ).

fof(f653,plain,
    ( leq(host(sK4),host(sK6))
    | spl10_23 ),
    inference(forward_subsumption_resolution,[],[f652,f198]) ).

fof(f661,plain,
    ( ~ setIn(sK6,alive)
    | host(sK6) != index(ldr,host(sK6))
    | norm != index(status,host(sK6))
    | ~ spl10_11
    | spl10_23 ),
    inference(resolution,[],[f653,f393]) ).

fof(f665,plain,
    ( host(sK6) != index(ldr,host(sK6))
    | norm != index(status,host(sK6))
    | ~ spl10_11
    | spl10_23 ),
    inference(forward_subsumption_resolution,[],[f661,f189]) ).

fof(f666,plain,
    ( norm != index(status,host(sK6))
    | ~ spl10_11
    | spl10_23 ),
    inference(forward_subsumption_resolution,[],[f665,f188]) ).

fof(f667,plain,
    ( $false
    | ~ spl10_11
    | spl10_23 ),
    inference(forward_subsumption_resolution,[],[f666,f187]) ).

fof(f668,plain,
    ( ~ spl10_11
    | spl10_23 ),
    inference(avatar_contradiction_clause,[],[f667]) ).

fof(f669,plain,
    ! [X0] :
      ( ~ leq(host(sK4),host(X0))
      | leq(host(sK4),sK7(sK5,sK4))
      | norm != index(status,host(X0))
      | host(X0) != index(ldr,host(X0))
      | ~ setIn(X0,alive) ),
    inference(forward_subsumption_resolution,[],[f443,f219]) ).

fof(f670,plain,
    ! [X0] :
      ( ~ leq(host(sK4),host(X0))
      | ~ setIn(sK7(sK5,sK4),index(down,host(sK4)))
      | norm != index(status,host(X0))
      | host(X0) != index(ldr,host(X0))
      | ~ setIn(X0,alive) ),
    inference(forward_subsumption_resolution,[],[f442,f219]) ).

fof(f672,definition,
    ( spl10_25
  <=> leq(host(sK4),sK7(sK5,sK4)) ),
    introduced(definition,[new_symbols(definition,[spl10_25])],[avatar_definition]) ).

fof(f674,plain,
    ( leq(host(sK4),sK7(sK5,sK4))
    | ~ spl10_25 ),
    inference(avatar_component_clause,[],[f672]) ).

fof(f675,plain,
    ( spl10_25
    | spl10_11 ),
    inference(avatar_split_clause,[],[f669,f392,f672]) ).

fof(f677,definition,
    ( spl10_26
  <=> setIn(sK7(sK5,sK4),index(down,host(sK4))) ),
    introduced(definition,[new_symbols(definition,[spl10_26])],[avatar_definition]) ).

fof(f679,plain,
    ( ~ setIn(sK7(sK5,sK4),index(down,host(sK4)))
    | spl10_26 ),
    inference(avatar_component_clause,[],[f677]) ).

fof(f680,plain,
    ( ~ spl10_26
    | spl10_11 ),
    inference(avatar_split_clause,[],[f670,f392,f677]) ).

fof(f720,plain,
    ( leq(host(sK6),host(sK6))
    | ~ spl10_24 ),
    inference(superposition,[],[f270,f638]) ).

fof(f730,plain,
    ( $false
    | ~ spl10_24 ),
    inference(forward_subsumption_resolution,[],[f720,f243]) ).

fof(f731,plain,
    ~ spl10_24,
    inference(avatar_contradiction_clause,[],[f730]) ).

fof(f2089,plain,
    ( ~ leq(host(sK4),sK7(sK5,sK4))
    | host(sK5) = sK7(sK5,sK4)
    | leq(s(zero),sK7(sK5,sK4))
    | spl10_26 ),
    inference(resolution,[],[f679,f265]) ).

fof(f2090,plain,
    ( host(sK5) = sK7(sK5,sK4)
    | leq(s(zero),sK7(sK5,sK4))
    | ~ spl10_25
    | spl10_26 ),
    inference(forward_subsumption_resolution,[],[f2089,f674]) ).

fof(f2092,definition,
    ( spl10_107
  <=> leq(s(zero),sK7(sK5,sK4)) ),
    introduced(definition,[new_symbols(definition,[spl10_107])],[avatar_definition]) ).

fof(f2094,plain,
    ( leq(s(zero),sK7(sK5,sK4))
    | ~ spl10_107 ),
    inference(avatar_component_clause,[],[f2092]) ).

fof(f2096,definition,
    ( spl10_108
  <=> host(sK5) = sK7(sK5,sK4) ),
    introduced(definition,[new_symbols(definition,[spl10_108])],[avatar_definition]) ).

fof(f2098,plain,
    ( host(sK5) = sK7(sK5,sK4)
    | ~ spl10_108 ),
    inference(avatar_component_clause,[],[f2096]) ).

fof(f2099,plain,
    ( spl10_107
    | spl10_108
    | ~ spl10_25
    | spl10_26 ),
    inference(avatar_split_clause,[],[f2090,f677,f672,f2096,f2092]) ).

fof(f2129,plain,
    ( ! [X0] :
        ( ~ elem(m_Down(sK5),queue(host(sK4)))
        | ~ leq(host(sK4),host(X0))
        | elec_1 != index(status,host(sK4))
        | norm != index(status,host(X0))
        | host(X0) != index(ldr,host(X0))
        | ~ setIn(X0,alive) )
    | ~ spl10_107 ),
    inference(resolution,[],[f2094,f269]) ).

fof(f2158,plain,
    ( ! [X0] :
        ( ~ leq(host(sK4),host(X0))
        | elec_1 != index(status,host(sK4))
        | norm != index(status,host(X0))
        | host(X0) != index(ldr,host(X0))
        | ~ setIn(X0,alive) )
    | ~ spl10_107 ),
    inference(forward_subsumption_resolution,[],[f2129,f439]) ).

fof(f2159,plain,
    ( ! [X0] :
        ( ~ leq(host(sK4),host(X0))
        | norm != index(status,host(X0))
        | host(X0) != index(ldr,host(X0))
        | ~ setIn(X0,alive) )
    | ~ spl10_107 ),
    inference(forward_subsumption_resolution,[],[f2158,f219]) ).

fof(f2160,plain,
    ( spl10_11
    | ~ spl10_107 ),
    inference(avatar_split_clause,[],[f2159,f2092,f392]) ).

fof(f4050,plain,
    ( ! [X0] :
        ( host(sK5) != host(sK5)
        | ~ elem(m_Down(sK5),queue(host(sK4)))
        | ~ leq(host(sK4),host(X0))
        | elec_1 != index(status,host(sK4))
        | norm != index(status,host(X0))
        | host(X0) != index(ldr,host(X0))
        | ~ setIn(X0,alive) )
    | ~ spl10_108 ),
    inference(superposition,[],[f267,f2098]) ).

fof(f4051,plain,
    ( ! [X0] :
        ( ~ elem(m_Down(sK5),queue(host(sK4)))
        | ~ leq(host(sK4),host(X0))
        | elec_1 != index(status,host(sK4))
        | norm != index(status,host(X0))
        | host(X0) != index(ldr,host(X0))
        | ~ setIn(X0,alive) )
    | ~ spl10_108 ),
    inference(trivial_inequality_removal,[],[f4050]) ).

fof(f4052,plain,
    ( ! [X0] :
        ( ~ leq(host(sK4),host(X0))
        | elec_1 != index(status,host(sK4))
        | norm != index(status,host(X0))
        | host(X0) != index(ldr,host(X0))
        | ~ setIn(X0,alive) )
    | ~ spl10_108 ),
    inference(forward_subsumption_resolution,[],[f4051,f439]) ).

fof(f4054,plain,
    ( ! [X0] :
        ( ~ leq(host(sK4),host(X0))
        | norm != index(status,host(X0))
        | host(X0) != index(ldr,host(X0))
        | ~ setIn(X0,alive) )
    | ~ spl10_108 ),
    inference(forward_subsumption_resolution,[],[f4052,f219]) ).

fof(f4055,plain,
    ( spl10_11
    | ~ spl10_108 ),
    inference(avatar_split_clause,[],[f4054,f2096,f392]) ).

cnf(s19,plain,
    ( ~ spl10_23
    | spl10_24 ),
    inference(sat_conversion,[],[f639]) ).

cnf(s20,plain,
    ( ~ spl10_11
    | spl10_23 ),
    inference(sat_conversion,[],[f668]) ).

cnf(s21,plain,
    ( spl10_11
    | spl10_25 ),
    inference(sat_conversion,[],[f675]) ).

cnf(s22,plain,
    ( spl10_11
    | ~ spl10_26 ),
    inference(sat_conversion,[],[f680]) ).

cnf(s24,plain,
    ~ spl10_24,
    inference(sat_conversion,[],[f731]) ).

cnf(s86,plain,
    ( ~ spl10_25
    | spl10_26
    | spl10_107
    | spl10_108 ),
    inference(sat_conversion,[],[f2099]) ).

cnf(s90,plain,
    ( spl10_11
    | ~ spl10_107 ),
    inference(sat_conversion,[],[f2160]) ).

cnf(s198,plain,
    ( spl10_11
    | ~ spl10_108 ),
    inference(sat_conversion,[],[f4055]) ).

cnf(s203,plain,
    ~ spl10_23,
    inference(rat,[],[s19,s24]) ).

cnf(s204,plain,
    ~ spl10_11,
    inference(rat,[],[s20,s203]) ).

cnf(s205,plain,
    ~ spl10_108,
    inference(rat,[],[s198,s204]) ).

cnf(s206,plain,
    ~ spl10_107,
    inference(rat,[],[s90,s204]) ).

cnf(s207,plain,
    ~ spl10_26,
    inference(rat,[],[s22,s204]) ).

cnf(s208,plain,
    spl10_25,
    inference(rat,[],[s21,s204]) ).

cnf(s211,plain,
    $false,
    inference(rat,[],[s86,s205,s206,s207,s208]) ).

fof(f4056,plain,
    $false,
    inference(avatar_sat_refutation,[],[s211]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : SWV459+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05  % Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.08/0.19  % Computer : n009.cluster.edu
% 0.08/0.19  % Model    : x86_64 x86_64
% 0.08/0.19  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.19  % Memory   : 8046.5625MB
% 0.08/0.19  % OS       : Linux 6.8.0-71-generic
% 0.08/0.19  % CPULimit : 300
% 0.08/0.19  % WCLimit  : 300
% 0.08/0.19  % DateTime : Mon Sep 28 11:09:00 UTC 2026
% 0.08/0.19  % CPUTime  : 
% 0.08/0.19  Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.08/0.22  Running first-order model finding
% 0.08/0.22  Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.97/0.39  % (2966245)Will run a generic schedule for satisfiability detection.
% 0.97/0.39  % (2966250)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=4114495468_2999 on theBenchmark for (2999ds/0Mi)
% 0.97/0.39  % (2966251)% WARNING: option uhcvi not known.
% 0.97/0.39  % (2966252)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=4112737114:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.97/0.39  % (2966251)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3005379606:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.97/0.39  % (2966253)dis+10_1_sil=32000:sp=arity:random_seed=793153848:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.97/0.39  % (2966254)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3677225432:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.97/0.39  % (2966255)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2564599821:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.97/0.39  % (2966256)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2071019342:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.97/0.39  % Detected minimum model sizes of [4]
% 0.97/0.39  % Detected maximum model sizes of [max]
% 0.97/0.39  % TRYING [4]
% 0.97/0.39  % TRYING [5]
% 0.97/0.39  % TRYING [6]
% 0.97/0.39  % (2966254)Instruction limit reached! 
% 0.97/0.39  % (2966254)------------------------------
% 0.97/0.39  % (2966254)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.97/0.39  % (2966254)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.97/0.39  % (2966254)CaDiCaL version: 2.1.3
% 0.97/0.39  % (2966254)Termination reason: Instruction limit
% 0.97/0.39  % (2966254)Termination phase: Saturation
% 0.97/0.39  % (2966254)Time elapsed: 0.067 s
% 0.97/0.39  % (2966254)Peak memory usage: 12 MB
% 0.97/0.39  % (2966254)Instructions burned: 120 (million)
% 0.97/0.39  % (2966253)Instruction limit reached! 
% 0.97/0.39  % (2966253)------------------------------
% 0.97/0.39  % (2966253)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.97/0.39  % (2966253)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.97/0.39  % (2966253)CaDiCaL version: 2.1.3
% 0.97/0.39  % (2966253)Termination reason: Instruction limit
% 0.97/0.39  % (2966253)Termination phase: Saturation
% 0.97/0.39  % (2966253)Time elapsed: 0.070 s
% 0.97/0.39  % (2966253)Peak memory usage: 12 MB
% 0.97/0.39  % (2966253)Instructions burned: 103 (million)
% 0.97/0.39  % (2966256)Instruction limit reached! 
% 0.97/0.39  % (2966256)------------------------------
% 0.97/0.39  % (2966256)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.97/0.39  % (2966256)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.97/0.39  % (2966256)CaDiCaL version: 2.1.3
% 0.97/0.39  % (2966256)Termination reason: Instruction limit
% 0.97/0.39  % (2966256)Termination phase: Saturation
% 0.97/0.39  % (2966256)Time elapsed: 0.080 s
% 0.97/0.39  % (2966256)Peak memory usage: 13 MB
% 0.97/0.39  % (2966256)Instructions burned: 159 (million)
% 0.97/0.39  % (2966255)Instruction limit reached! 
% 0.97/0.39  % (2966255)------------------------------
% 0.97/0.39  % (2966255)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.97/0.39  % (2966255)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.97/0.39  % (2966255)CaDiCaL version: 2.1.3
% 0.97/0.39  % (2966255)Termination reason: Instruction limit
% 0.97/0.39  % (2966255)Termination phase: Saturation
% 0.97/0.39  % (2966255)Time elapsed: 0.083 s
% 0.97/0.39  % (2966255)Peak memory usage: 13 MB
% 0.97/0.39  % (2966255)Instructions burned: 133 (million)
% 0.97/0.39  % (2966264)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=2605638201:i=714:nm=2_2998 on theBenchmark for (2998ds/714Mi)
% 0.97/0.39  % TRYING [7]
% 0.97/0.39  % (2966265)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=605198899:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 0.97/0.39  % Detected minimum model sizes of [4]
% 0.97/0.39  % Detected maximum model sizes of [max]
% 0.97/0.39  % TRYING [4]
% 0.97/0.39  % (2966266)dis+11_32_anc=none:slsqr=2,1:sil=64000:sas=cadical:lma=off:lsd=50:s2agt=8:slsqc=1:kmz=on:newcnf=on:slsq=on:random_seed=2827217123:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 0.97/0.39  % (2966267)ott-21_1_sil=16000:fs=off:random_seed=3900536050:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 0.97/0.39  % (2966251) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2966245-2966251"...
% 0.97/0.39  % (2966251)...printing done.
% 0.97/0.39  % (2966251)Refutation found. Thanks to Tanya!
% 0.97/0.39  % SZS status Theorem for theBenchmark
% 0.97/0.39  % SZS output start Proof for theBenchmark
% See solution above
% 0.97/0.40  % (2966251)------------------------------
% 0.97/0.40  % (2966251)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.97/0.40  % (2966251)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.97/0.40  % (2966251)CaDiCaL version: 2.1.3
% 0.97/0.40  % (2966251)Termination reason: Refutation
% 0.97/0.40  % (2966251)Time elapsed: 0.121 s
% 0.97/0.40  % (2966251)Peak memory usage: 14 MB
% 0.97/0.40  % (2966251)Instructions burned: 178 (million)
% 0.97/0.40  % (2966245)Success in time 0.163 s
% 0.97/0.40  % Vampire exiting
%------------------------------------------------------------------------------