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Vampire---5.0.1.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : SWV471+1 : TPTP v9.3.1. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM

% Computer : n006.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 01:15:54 PM UTC 2026

% Result   : Theorem 2.68s 0.91s
% Output   : Refutation 2.68s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   28
%            Number of leaves      :   35
% Syntax   : Number of formulae    :  206 (  46 unt;  31 def)
%            Number of atoms       : 1043 ( 320 equ)
%            Maximal formula atoms :   66 (   5 avg)
%            Number of connectives : 1452 ( 615   ~; 517   |; 238   &)
%                                         (  25 <=>;  57  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   33 (   5 avg)
%            Maximal term depth    :    4 (   2 avg)
%            Number of predicates  :   36 (  34 usr;  16 prp; 0-2 aty)
%            Number of functors    :   30 (  30 usr;  18 con; 0-2 aty)
%            Number of variables   :  411 (   0 sgn 387   !;  24   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f13,axiom,
    ! [X0,X1,X2] : m_Ack(X0,X1) != m_Down(X2),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_12) ).

fof(f47,axiom,
    ! [X0,X1,X2] :
      ( elem(X0,cons(X1,X2))
    <=> ( X0 = X1
        | elem(X0,X2) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_46) ).

fof(f48,axiom,
    ! [X0,X1,X2] :
      ( elem(X0,snoc(X2,X1))
    <=> ( X0 = X1
        | elem(X0,X2) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_47) ).

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

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

fof(f69,plain,
    ~ ! [X0,X1,X2] :
        ( ( ! [X3,X4] :
              ( elem(m_Ldr(X4),queue(host(X3)))
             => ~ leq(host(X3),host(X4)) )
          & ! [X5,X6] :
              ( elem(m_Down(X6),queue(host(X5)))
             => host(X5) != host(X6) )
          & ! [X7,X8] :
              ( nbr_proc = host(X8)
             => ~ elem(m_NotNorm(X7),queue(host(X8))) )
          & ! [X9,X10] :
              ( ( X9 != X10
                & host(X9) = host(X10) )
             => ( ~ setIn(X9,alive)
                | ~ setIn(X10,alive) ) )
          & ! [X11] :
              ( ( ( elec_1 = index(status,host(X11))
                  | elec_2 = index(status,host(X11)) )
                & setIn(X11,alive) )
             => index(elid,host(X11)) = X11 )
          & ! [X12,X13,X14] :
              ( ( host(X13) != host(X14)
                & setIn(X14,alive)
                & host(X14) = host(X12)
                & host(X13) = index(ldr,host(X14))
                & norm = index(status,host(X14)) )
             => ~ elem(m_Down(X12),queue(host(X13))) )
          & ! [X15,X16,X17] :
              ( ( host(X16) != host(X17)
                & setIn(X17,alive)
                & host(X17) = host(X15)
                & wait = index(status,host(X17))
                & host(X16) = host(index(elid,host(X17))) )
             => ~ elem(m_Down(X15),queue(host(X16))) )
          & ! [X18,X19,X20,X21] :
              ( ( host(X18) != host(X20)
                & setIn(X18,alive)
                & setIn(X20,alive)
                & host(X18) = host(X19)
                & host(X20) = host(X21) )
             => ~ ( elem(m_Down(X21),queue(host(X18)))
                  & elem(m_Down(X19),queue(host(X20))) ) )
          & ! [X22,X23,X24,X25] :
              ( ( host(X22) != host(X24)
                & setIn(X22,alive)
                & setIn(X24,alive)
                & host(X22) = host(X23)
                & host(X24) = host(X25) )
             => ~ ( elem(m_Down(X25),queue(host(X22)))
                  & setIn(host(X23),index(down,host(X24))) ) )
          & ! [X26,X27,X28,X29] :
              ( ( ! [X30] :
                    ( ( ~ leq(host(X29),X30)
                      & leq(s(zero),X30) )
                   => ( setIn(X30,index(down,host(X29)))
                      | host(X28) = X30 ) )
                & elem(m_Down(X28),queue(host(X29)))
                & host(X29) = host(X27)
                & nbr_proc = host(X29)
                & elec_1 = index(status,host(X29)) )
             => ~ ( setIn(X26,alive)
                  & elem(m_Down(X27),queue(host(X26))) ) )
          & queue(host(X1)) = cons(m_Halt(X2),X0) )
       => ( setIn(X1,alive)
         => ! [X31] :
              ( host(X2) != host(X31)
             => ( host(X1) = host(X31)
               => ! [X32,X33,X34] :
                    ( host(X2) = host(X34)
                   => ( host(X1) != host(X34)
                     => ( ( ! [X35] :
                              ( ( ~ leq(host(X34),X35)
                                & leq(s(zero),X35) )
                             => ( setIn(X35,index(down,host(X34)))
                                | host(X33) = X35 ) )
                          & elem(m_Down(X33),snoc(queue(host(X34)),m_Ack(X2,X1)))
                          & host(X34) = host(X32)
                          & nbr_proc = host(X34)
                          & elec_1 = index(status,host(X34)) )
                       => ~ ( setIn(X31,alive)
                            & elem(m_Down(X32),X0) ) ) ) ) ) ) ) ),
    inference(rectify,[],[f68]) ).

fof(f70,plain,
    ? [X0,X1,X2] :
      ( ? [X31] :
          ( ? [X32,X33,X34] :
              ( setIn(X31,alive)
              & elem(m_Down(X32),X0)
              & ! [X35] :
                  ( setIn(X35,index(down,host(X34)))
                  | host(X33) = X35
                  | leq(host(X34),X35)
                  | ~ leq(s(zero),X35) )
              & elem(m_Down(X33),snoc(queue(host(X34)),m_Ack(X2,X1)))
              & host(X34) = host(X32)
              & nbr_proc = host(X34)
              & elec_1 = index(status,host(X34))
              & host(X1) != host(X34)
              & host(X2) = host(X34) )
          & host(X1) = host(X31)
          & host(X2) != host(X31) )
      & setIn(X1,alive)
      & ! [X3,X4] :
          ( ~ leq(host(X3),host(X4))
          | ~ elem(m_Ldr(X4),queue(host(X3))) )
      & ! [X5,X6] :
          ( host(X5) != host(X6)
          | ~ elem(m_Down(X6),queue(host(X5))) )
      & ! [X7,X8] :
          ( ~ elem(m_NotNorm(X7),queue(host(X8)))
          | nbr_proc != host(X8) )
      & ! [X9,X10] :
          ( ~ setIn(X9,alive)
          | ~ setIn(X10,alive)
          | X9 = X10
          | host(X9) != host(X10) )
      & ! [X11] :
          ( index(elid,host(X11)) = X11
          | ( elec_1 != index(status,host(X11))
            & elec_2 != index(status,host(X11)) )
          | ~ setIn(X11,alive) )
      & ! [X12,X13,X14] :
          ( ~ elem(m_Down(X12),queue(host(X13)))
          | host(X13) = host(X14)
          | ~ setIn(X14,alive)
          | host(X14) != host(X12)
          | host(X13) != index(ldr,host(X14))
          | norm != index(status,host(X14)) )
      & ! [X15,X16,X17] :
          ( ~ elem(m_Down(X15),queue(host(X16)))
          | host(X16) = host(X17)
          | ~ setIn(X17,alive)
          | host(X17) != host(X15)
          | wait != index(status,host(X17))
          | host(X16) != host(index(elid,host(X17))) )
      & ! [X18,X19,X20,X21] :
          ( ~ elem(m_Down(X21),queue(host(X18)))
          | ~ elem(m_Down(X19),queue(host(X20)))
          | host(X18) = host(X20)
          | ~ setIn(X18,alive)
          | ~ setIn(X20,alive)
          | host(X18) != host(X19)
          | host(X20) != host(X21) )
      & ! [X22,X23,X24,X25] :
          ( ~ elem(m_Down(X25),queue(host(X22)))
          | ~ setIn(host(X23),index(down,host(X24)))
          | host(X22) = host(X24)
          | ~ setIn(X22,alive)
          | ~ setIn(X24,alive)
          | host(X22) != host(X23)
          | host(X24) != host(X25) )
      & ! [X26,X27,X28,X29] :
          ( ~ setIn(X26,alive)
          | ~ elem(m_Down(X27),queue(host(X26)))
          | ? [X30] :
              ( ~ setIn(X30,index(down,host(X29)))
              & host(X28) != X30
              & ~ leq(host(X29),X30)
              & leq(s(zero),X30) )
          | ~ elem(m_Down(X28),queue(host(X29)))
          | host(X29) != host(X27)
          | nbr_proc != host(X29)
          | elec_1 != index(status,host(X29)) )
      & queue(host(X1)) = cons(m_Halt(X2),X0) ),
    inference(ennf_transformation,[],[f69]) ).

fof(f71,plain,
    ? [X0,X1,X2] :
      ( ? [X31] :
          ( ? [X32,X33,X34] :
              ( setIn(X31,alive)
              & elem(m_Down(X32),X0)
              & ! [X35] :
                  ( setIn(X35,index(down,host(X34)))
                  | host(X33) = X35
                  | leq(host(X34),X35)
                  | ~ leq(s(zero),X35) )
              & elem(m_Down(X33),snoc(queue(host(X34)),m_Ack(X2,X1)))
              & host(X34) = host(X32)
              & nbr_proc = host(X34)
              & elec_1 = index(status,host(X34))
              & host(X1) != host(X34)
              & host(X2) = host(X34) )
          & host(X1) = host(X31)
          & host(X2) != host(X31) )
      & setIn(X1,alive)
      & ! [X3,X4] :
          ( ~ leq(host(X3),host(X4))
          | ~ elem(m_Ldr(X4),queue(host(X3))) )
      & ! [X5,X6] :
          ( host(X5) != host(X6)
          | ~ elem(m_Down(X6),queue(host(X5))) )
      & ! [X7,X8] :
          ( ~ elem(m_NotNorm(X7),queue(host(X8)))
          | nbr_proc != host(X8) )
      & ! [X9,X10] :
          ( ~ setIn(X9,alive)
          | ~ setIn(X10,alive)
          | X9 = X10
          | host(X9) != host(X10) )
      & ! [X11] :
          ( index(elid,host(X11)) = X11
          | ( elec_1 != index(status,host(X11))
            & elec_2 != index(status,host(X11)) )
          | ~ setIn(X11,alive) )
      & ! [X12,X13,X14] :
          ( ~ elem(m_Down(X12),queue(host(X13)))
          | host(X13) = host(X14)
          | ~ setIn(X14,alive)
          | host(X14) != host(X12)
          | host(X13) != index(ldr,host(X14))
          | norm != index(status,host(X14)) )
      & ! [X15,X16,X17] :
          ( ~ elem(m_Down(X15),queue(host(X16)))
          | host(X16) = host(X17)
          | ~ setIn(X17,alive)
          | host(X17) != host(X15)
          | wait != index(status,host(X17))
          | host(X16) != host(index(elid,host(X17))) )
      & ! [X18,X19,X20,X21] :
          ( ~ elem(m_Down(X21),queue(host(X18)))
          | ~ elem(m_Down(X19),queue(host(X20)))
          | host(X18) = host(X20)
          | ~ setIn(X18,alive)
          | ~ setIn(X20,alive)
          | host(X18) != host(X19)
          | host(X20) != host(X21) )
      & ! [X22,X23,X24,X25] :
          ( ~ elem(m_Down(X25),queue(host(X22)))
          | ~ setIn(host(X23),index(down,host(X24)))
          | host(X22) = host(X24)
          | ~ setIn(X22,alive)
          | ~ setIn(X24,alive)
          | host(X22) != host(X23)
          | host(X24) != host(X25) )
      & ! [X26,X27,X28,X29] :
          ( ~ setIn(X26,alive)
          | ~ elem(m_Down(X27),queue(host(X26)))
          | ? [X30] :
              ( ~ setIn(X30,index(down,host(X29)))
              & host(X28) != X30
              & ~ leq(host(X29),X30)
              & leq(s(zero),X30) )
          | ~ elem(m_Down(X28),queue(host(X29)))
          | host(X29) != host(X27)
          | nbr_proc != host(X29)
          | elec_1 != index(status,host(X29)) )
      & queue(host(X1)) = cons(m_Halt(X2),X0) ),
    inference(flattening,[],[f70]) ).

fof(f78,plain,
    ? [X0,X1,X2] :
      ( ? [X3] :
          ( ? [X4,X5,X6] :
              ( setIn(X3,alive)
              & elem(m_Down(X4),X0)
              & ! [X7] :
                  ( setIn(X7,index(down,host(X6)))
                  | host(X5) = X7
                  | leq(host(X6),X7)
                  | ~ leq(s(zero),X7) )
              & elem(m_Down(X5),snoc(queue(host(X6)),m_Ack(X2,X1)))
              & host(X4) = host(X6)
              & nbr_proc = host(X6)
              & elec_1 = index(status,host(X6))
              & host(X1) != host(X6)
              & host(X2) = host(X6) )
          & host(X1) = host(X3)
          & host(X2) != host(X3) )
      & setIn(X1,alive)
      & ! [X8,X9] :
          ( ~ leq(host(X8),host(X9))
          | ~ elem(m_Ldr(X9),queue(host(X8))) )
      & ! [X10,X11] :
          ( host(X10) != host(X11)
          | ~ elem(m_Down(X11),queue(host(X10))) )
      & ! [X12,X13] :
          ( ~ elem(m_NotNorm(X12),queue(host(X13)))
          | nbr_proc != host(X13) )
      & ! [X14,X15] :
          ( ~ setIn(X14,alive)
          | ~ setIn(X15,alive)
          | X14 = X15
          | host(X14) != host(X15) )
      & ! [X16] :
          ( index(elid,host(X16)) = X16
          | ( elec_1 != index(status,host(X16))
            & elec_2 != index(status,host(X16)) )
          | ~ setIn(X16,alive) )
      & ! [X17,X18,X19] :
          ( ~ elem(m_Down(X17),queue(host(X18)))
          | host(X18) = host(X19)
          | ~ setIn(X19,alive)
          | host(X17) != host(X19)
          | host(X18) != index(ldr,host(X19))
          | norm != index(status,host(X19)) )
      & ! [X20,X21,X22] :
          ( ~ elem(m_Down(X20),queue(host(X21)))
          | host(X21) = host(X22)
          | ~ setIn(X22,alive)
          | host(X20) != host(X22)
          | wait != index(status,host(X22))
          | host(X21) != host(index(elid,host(X22))) )
      & ! [X23,X24,X25,X26] :
          ( ~ elem(m_Down(X26),queue(host(X23)))
          | ~ elem(m_Down(X24),queue(host(X25)))
          | host(X23) = host(X25)
          | ~ setIn(X23,alive)
          | ~ setIn(X25,alive)
          | host(X24) != host(X23)
          | host(X25) != host(X26) )
      & ! [X27,X28,X29,X30] :
          ( ~ elem(m_Down(X30),queue(host(X27)))
          | ~ setIn(host(X28),index(down,host(X29)))
          | host(X29) = host(X27)
          | ~ setIn(X27,alive)
          | ~ setIn(X29,alive)
          | host(X28) != host(X27)
          | host(X29) != host(X30) )
      & ! [X31,X32,X33,X34] :
          ( ~ setIn(X31,alive)
          | ~ elem(m_Down(X32),queue(host(X31)))
          | ? [X35] :
              ( ~ setIn(X35,index(down,host(X34)))
              & host(X33) != X35
              & ~ leq(host(X34),X35)
              & leq(s(zero),X35) )
          | ~ elem(m_Down(X33),queue(host(X34)))
          | host(X34) != host(X32)
          | nbr_proc != host(X34)
          | elec_1 != index(status,host(X34)) )
      & queue(host(X1)) = cons(m_Halt(X2),X0) ),
    inference(rectify,[],[f71]) ).

fof(f79,plain,
    ( setIn(sK3,alive)
    & elem(m_Down(sK4),sK0)
    & ! [X7] :
        ( setIn(X7,index(down,host(sK6)))
        | host(sK5) = X7
        | leq(host(sK6),X7)
        | ~ leq(s(zero),X7) )
    & elem(m_Down(sK5),snoc(queue(host(sK6)),m_Ack(sK2,sK1)))
    & host(sK6) = host(sK4)
    & nbr_proc = host(sK6)
    & elec_1 = index(status,host(sK6))
    & host(sK6) != host(sK1)
    & host(sK6) = host(sK2)
    & host(sK1) = host(sK3)
    & host(sK2) != host(sK3)
    & setIn(sK1,alive)
    & ! [X8,X9] :
        ( ~ leq(host(X8),host(X9))
        | ~ elem(m_Ldr(X9),queue(host(X8))) )
    & ! [X10,X11] :
        ( host(X10) != host(X11)
        | ~ elem(m_Down(X11),queue(host(X10))) )
    & ! [X12,X13] :
        ( ~ elem(m_NotNorm(X12),queue(host(X13)))
        | nbr_proc != host(X13) )
    & ! [X14,X15] :
        ( ~ setIn(X14,alive)
        | ~ setIn(X15,alive)
        | X14 = X15
        | host(X14) != host(X15) )
    & ! [X16] :
        ( index(elid,host(X16)) = X16
        | ( elec_1 != index(status,host(X16))
          & elec_2 != index(status,host(X16)) )
        | ~ setIn(X16,alive) )
    & ! [X17,X18,X19] :
        ( ~ elem(m_Down(X17),queue(host(X18)))
        | host(X18) = host(X19)
        | ~ setIn(X19,alive)
        | host(X17) != host(X19)
        | host(X18) != index(ldr,host(X19))
        | norm != index(status,host(X19)) )
    & ! [X20,X21,X22] :
        ( ~ elem(m_Down(X20),queue(host(X21)))
        | host(X21) = host(X22)
        | ~ setIn(X22,alive)
        | host(X20) != host(X22)
        | wait != index(status,host(X22))
        | host(X21) != host(index(elid,host(X22))) )
    & ! [X23,X24,X25,X26] :
        ( ~ elem(m_Down(X26),queue(host(X23)))
        | ~ elem(m_Down(X24),queue(host(X25)))
        | host(X23) = host(X25)
        | ~ setIn(X23,alive)
        | ~ setIn(X25,alive)
        | host(X24) != host(X23)
        | host(X25) != host(X26) )
    & ! [X27,X28,X29,X30] :
        ( ~ elem(m_Down(X30),queue(host(X27)))
        | ~ setIn(host(X28),index(down,host(X29)))
        | host(X29) = host(X27)
        | ~ setIn(X27,alive)
        | ~ setIn(X29,alive)
        | host(X28) != host(X27)
        | host(X29) != host(X30) )
    & ! [X31,X32,X33,X34] :
        ( ~ setIn(X31,alive)
        | ~ elem(m_Down(X32),queue(host(X31)))
        | ( ~ setIn(sK7(X33,X34),index(down,host(X34)))
          & host(X33) != sK7(X33,X34)
          & ~ leq(host(X34),sK7(X33,X34))
          & leq(s(zero),sK7(X33,X34)) )
        | ~ elem(m_Down(X33),queue(host(X34)))
        | host(X34) != host(X32)
        | nbr_proc != host(X34)
        | elec_1 != index(status,host(X34)) )
    & queue(host(sK1)) = cons(m_Halt(sK2),sK0) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4,sK5,sK6,sK7]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2),skolemize(X3,sK3),skolemize(X4,sK4),skolemize(X5,sK5),skolemize(X6,sK6),skolemize(X35,sK7(X33,X34))],[f78]) ).

fof(f80,plain,
    ! [X0,X1,X2] :
      ( ( elem(X0,snoc(X2,X1))
        | ( X0 != X1
          & ~ elem(X0,X2) ) )
      & ( X0 = X1
        | elem(X0,X2)
        | ~ elem(X0,snoc(X2,X1)) ) ),
    inference(nnf_transformation,[],[f48]) ).

fof(f81,plain,
    ! [X0,X1,X2] :
      ( ( elem(X0,snoc(X2,X1))
        | ( X0 != X1
          & ~ elem(X0,X2) ) )
      & ( X0 = X1
        | elem(X0,X2)
        | ~ elem(X0,snoc(X2,X1)) ) ),
    inference(flattening,[],[f80]) ).

fof(f82,plain,
    ! [X0,X1,X2] :
      ( ( elem(X0,cons(X1,X2))
        | ( X0 != X1
          & ~ elem(X0,X2) ) )
      & ( X0 = X1
        | elem(X0,X2)
        | ~ elem(X0,cons(X1,X2)) ) ),
    inference(nnf_transformation,[],[f47]) ).

fof(f83,plain,
    ! [X0,X1,X2] :
      ( ( elem(X0,cons(X1,X2))
        | ( X0 != X1
          & ~ elem(X0,X2) ) )
      & ( X0 = X1
        | elem(X0,X2)
        | ~ elem(X0,cons(X1,X2)) ) ),
    inference(flattening,[],[f82]) ).

fof(f93,plain,
    queue(host(sK1)) = cons(m_Halt(sK2),sK0),
    inference(cnf_transformation,[],[f79]) ).

fof(f94,plain,
    ! [X31,X34,X32,X33] :
      ( ~ setIn(X31,alive)
      | ~ elem(m_Down(X32),queue(host(X31)))
      | leq(s(zero),sK7(X33,X34))
      | ~ elem(m_Down(X33),queue(host(X34)))
      | host(X34) != host(X32)
      | nbr_proc != host(X34)
      | elec_1 != index(status,host(X34)) ),
    inference(cnf_transformation,[],[f79]) ).

fof(f95,plain,
    ! [X31,X34,X32,X33] :
      ( ~ setIn(X31,alive)
      | ~ elem(m_Down(X32),queue(host(X31)))
      | ~ leq(host(X34),sK7(X33,X34))
      | ~ elem(m_Down(X33),queue(host(X34)))
      | host(X34) != host(X32)
      | nbr_proc != host(X34)
      | elec_1 != index(status,host(X34)) ),
    inference(cnf_transformation,[],[f79]) ).

fof(f96,plain,
    ! [X31,X34,X32,X33] :
      ( ~ setIn(X31,alive)
      | ~ elem(m_Down(X32),queue(host(X31)))
      | host(X33) != sK7(X33,X34)
      | ~ elem(m_Down(X33),queue(host(X34)))
      | host(X34) != host(X32)
      | nbr_proc != host(X34)
      | elec_1 != index(status,host(X34)) ),
    inference(cnf_transformation,[],[f79]) ).

fof(f97,plain,
    ! [X31,X34,X32,X33] :
      ( ~ setIn(X31,alive)
      | ~ elem(m_Down(X32),queue(host(X31)))
      | ~ setIn(sK7(X33,X34),index(down,host(X34)))
      | ~ elem(m_Down(X33),queue(host(X34)))
      | host(X34) != host(X32)
      | nbr_proc != host(X34)
      | elec_1 != index(status,host(X34)) ),
    inference(cnf_transformation,[],[f79]) ).

fof(f108,plain,
    setIn(sK1,alive),
    inference(cnf_transformation,[],[f79]) ).

fof(f113,plain,
    elec_1 = index(status,host(sK6)),
    inference(cnf_transformation,[],[f79]) ).

fof(f114,plain,
    nbr_proc = host(sK6),
    inference(cnf_transformation,[],[f79]) ).

fof(f115,plain,
    host(sK6) = host(sK4),
    inference(cnf_transformation,[],[f79]) ).

fof(f116,plain,
    elem(m_Down(sK5),snoc(queue(host(sK6)),m_Ack(sK2,sK1))),
    inference(cnf_transformation,[],[f79]) ).

fof(f117,plain,
    ! [X7] :
      ( setIn(X7,index(down,host(sK6)))
      | host(sK5) = X7
      | leq(host(sK6),X7)
      | ~ leq(s(zero),X7) ),
    inference(cnf_transformation,[],[f79]) ).

fof(f118,plain,
    elem(m_Down(sK4),sK0),
    inference(cnf_transformation,[],[f79]) ).

fof(f122,plain,
    ! [X2,X0,X1] : m_Ack(X0,X1) != m_Down(X2),
    inference(cnf_transformation,[],[f13]) ).

fof(f124,plain,
    ! [X2,X0,X1] :
      ( ~ elem(X0,snoc(X2,X1))
      | elem(X0,X2)
      | X0 = X1 ),
    inference(cnf_transformation,[],[f81]) ).

fof(f128,plain,
    ! [X2,X0,X1] :
      ( elem(X0,cons(X1,X2))
      | ~ elem(X0,X2) ),
    inference(cnf_transformation,[],[f83]) ).

fof(f185,definition,
    ~ sP15(nbr_proc),
    introduced(definition,[new_symbols(definition,[sP15])],[inequality_splitting_name_introduction]) ).

fof(f186,definition,
    ~ sP16(elec_1),
    introduced(definition,[new_symbols(definition,[sP16])],[inequality_splitting_name_introduction]) ).

fof(f187,plain,
    ! [X31,X34,X32,X33] :
      ( ~ setIn(X31,alive)
      | ~ elem(m_Down(X32),queue(host(X31)))
      | ~ setIn(sK7(X33,X34),index(down,host(X34)))
      | ~ elem(m_Down(X33),queue(host(X34)))
      | host(X34) != host(X32)
      | sP15(host(X34))
      | sP16(index(status,host(X34))) ),
    inference(inequality_splitting,[],[f97,f186,f185]) ).

fof(f188,definition,
    ~ sP17(nbr_proc),
    introduced(definition,[new_symbols(definition,[sP17])],[inequality_splitting_name_introduction]) ).

fof(f189,definition,
    ~ sP18(elec_1),
    introduced(definition,[new_symbols(definition,[sP18])],[inequality_splitting_name_introduction]) ).

fof(f190,plain,
    ! [X31,X34,X32,X33] :
      ( ~ setIn(X31,alive)
      | ~ elem(m_Down(X32),queue(host(X31)))
      | host(X33) != sK7(X33,X34)
      | ~ elem(m_Down(X33),queue(host(X34)))
      | host(X34) != host(X32)
      | sP17(host(X34))
      | sP18(index(status,host(X34))) ),
    inference(inequality_splitting,[],[f96,f189,f188]) ).

fof(f191,definition,
    ~ sP19(nbr_proc),
    introduced(definition,[new_symbols(definition,[sP19])],[inequality_splitting_name_introduction]) ).

fof(f192,definition,
    ~ sP20(elec_1),
    introduced(definition,[new_symbols(definition,[sP20])],[inequality_splitting_name_introduction]) ).

fof(f193,plain,
    ! [X31,X34,X32,X33] :
      ( ~ setIn(X31,alive)
      | ~ elem(m_Down(X32),queue(host(X31)))
      | ~ leq(host(X34),sK7(X33,X34))
      | ~ elem(m_Down(X33),queue(host(X34)))
      | host(X34) != host(X32)
      | sP19(host(X34))
      | sP20(index(status,host(X34))) ),
    inference(inequality_splitting,[],[f95,f192,f191]) ).

fof(f194,definition,
    ~ sP21(nbr_proc),
    introduced(definition,[new_symbols(definition,[sP21])],[inequality_splitting_name_introduction]) ).

fof(f195,definition,
    ~ sP22(elec_1),
    introduced(definition,[new_symbols(definition,[sP22])],[inequality_splitting_name_introduction]) ).

fof(f196,plain,
    ! [X31,X34,X32,X33] :
      ( ~ setIn(X31,alive)
      | ~ elem(m_Down(X32),queue(host(X31)))
      | leq(s(zero),sK7(X33,X34))
      | ~ elem(m_Down(X33),queue(host(X34)))
      | host(X34) != host(X32)
      | sP21(host(X34))
      | sP22(index(status,host(X34))) ),
    inference(inequality_splitting,[],[f94,f195,f194]) ).

fof(f223,plain,
    ! [X31,X32] :
      ( ~ elem(m_Down(X32),queue(host(X31)))
      | ~ setIn(X31,alive)
      | sP31(X32) ),
    inference(cnf_transformation,[],[f223_D]) ).

fof(f223_D,definition,
    ! [X32] :
      ( ! [X31] :
          ( ~ elem(m_Down(X32),queue(host(X31)))
          | ~ setIn(X31,alive) )
    <=> ~ sP31(X32) ),
    introduced(definition,[new_symbols(definition,[sP31])],[general_splitting_component_introduction]) ).

fof(f224,plain,
    ! [X34,X32,X33] :
      ( ~ setIn(sK7(X33,X34),index(down,host(X34)))
      | ~ elem(m_Down(X33),queue(host(X34)))
      | host(X34) != host(X32)
      | sP15(host(X34))
      | sP16(index(status,host(X34)))
      | ~ sP31(X32) ),
    inference(general_splitting,[],[f187,f223_D]) ).

fof(f225,plain,
    ! [X34,X32] :
      ( host(X34) != host(X32)
      | ~ sP31(X32)
      | sP32(X34) ),
    inference(cnf_transformation,[],[f225_D]) ).

fof(f225_D,definition,
    ! [X34] :
      ( ! [X32] :
          ( host(X34) != host(X32)
          | ~ sP31(X32) )
    <=> ~ sP32(X34) ),
    introduced(definition,[new_symbols(definition,[sP32])],[general_splitting_component_introduction]) ).

fof(f226,plain,
    ! [X34,X33] :
      ( ~ setIn(sK7(X33,X34),index(down,host(X34)))
      | ~ elem(m_Down(X33),queue(host(X34)))
      | sP15(host(X34))
      | sP16(index(status,host(X34)))
      | ~ sP32(X34) ),
    inference(general_splitting,[],[f224,f225_D]) ).

fof(f227,plain,
    ! [X31,X32] :
      ( ~ elem(m_Down(X32),queue(host(X31)))
      | ~ setIn(X31,alive)
      | sP33(X32) ),
    inference(cnf_transformation,[],[f227_D]) ).

fof(f227_D,definition,
    ! [X32] :
      ( ! [X31] :
          ( ~ elem(m_Down(X32),queue(host(X31)))
          | ~ setIn(X31,alive) )
    <=> ~ sP33(X32) ),
    introduced(definition,[new_symbols(definition,[sP33])],[general_splitting_component_introduction]) ).

fof(f228,plain,
    ! [X34,X32,X33] :
      ( host(X33) != sK7(X33,X34)
      | ~ elem(m_Down(X33),queue(host(X34)))
      | host(X34) != host(X32)
      | sP17(host(X34))
      | sP18(index(status,host(X34)))
      | ~ sP33(X32) ),
    inference(general_splitting,[],[f190,f227_D]) ).

fof(f229,plain,
    ! [X34,X32] :
      ( host(X34) != host(X32)
      | ~ sP33(X32)
      | sP34(X34) ),
    inference(cnf_transformation,[],[f229_D]) ).

fof(f229_D,definition,
    ! [X34] :
      ( ! [X32] :
          ( host(X34) != host(X32)
          | ~ sP33(X32) )
    <=> ~ sP34(X34) ),
    introduced(definition,[new_symbols(definition,[sP34])],[general_splitting_component_introduction]) ).

fof(f230,plain,
    ! [X34,X33] :
      ( host(X33) != sK7(X33,X34)
      | ~ elem(m_Down(X33),queue(host(X34)))
      | sP17(host(X34))
      | sP18(index(status,host(X34)))
      | ~ sP34(X34) ),
    inference(general_splitting,[],[f228,f229_D]) ).

fof(f231,plain,
    ! [X31,X32] :
      ( ~ elem(m_Down(X32),queue(host(X31)))
      | ~ setIn(X31,alive)
      | sP35(X32) ),
    inference(cnf_transformation,[],[f231_D]) ).

fof(f231_D,definition,
    ! [X32] :
      ( ! [X31] :
          ( ~ elem(m_Down(X32),queue(host(X31)))
          | ~ setIn(X31,alive) )
    <=> ~ sP35(X32) ),
    introduced(definition,[new_symbols(definition,[sP35])],[general_splitting_component_introduction]) ).

fof(f232,plain,
    ! [X34,X32,X33] :
      ( ~ leq(host(X34),sK7(X33,X34))
      | ~ elem(m_Down(X33),queue(host(X34)))
      | host(X34) != host(X32)
      | sP19(host(X34))
      | sP20(index(status,host(X34)))
      | ~ sP35(X32) ),
    inference(general_splitting,[],[f193,f231_D]) ).

fof(f233,plain,
    ! [X34,X32] :
      ( host(X34) != host(X32)
      | ~ sP35(X32)
      | sP36(X34) ),
    inference(cnf_transformation,[],[f233_D]) ).

fof(f233_D,definition,
    ! [X34] :
      ( ! [X32] :
          ( host(X34) != host(X32)
          | ~ sP35(X32) )
    <=> ~ sP36(X34) ),
    introduced(definition,[new_symbols(definition,[sP36])],[general_splitting_component_introduction]) ).

fof(f234,plain,
    ! [X34,X33] :
      ( ~ leq(host(X34),sK7(X33,X34))
      | ~ elem(m_Down(X33),queue(host(X34)))
      | sP19(host(X34))
      | sP20(index(status,host(X34)))
      | ~ sP36(X34) ),
    inference(general_splitting,[],[f232,f233_D]) ).

fof(f235,plain,
    ! [X31,X32] :
      ( ~ elem(m_Down(X32),queue(host(X31)))
      | ~ setIn(X31,alive)
      | sP37(X32) ),
    inference(cnf_transformation,[],[f235_D]) ).

fof(f235_D,definition,
    ! [X32] :
      ( ! [X31] :
          ( ~ elem(m_Down(X32),queue(host(X31)))
          | ~ setIn(X31,alive) )
    <=> ~ sP37(X32) ),
    introduced(definition,[new_symbols(definition,[sP37])],[general_splitting_component_introduction]) ).

fof(f236,plain,
    ! [X34,X32,X33] :
      ( leq(s(zero),sK7(X33,X34))
      | ~ elem(m_Down(X33),queue(host(X34)))
      | host(X34) != host(X32)
      | sP21(host(X34))
      | sP22(index(status,host(X34)))
      | ~ sP37(X32) ),
    inference(general_splitting,[],[f196,f235_D]) ).

fof(f237,plain,
    ! [X34,X32] :
      ( host(X34) != host(X32)
      | ~ sP37(X32)
      | sP38(X34) ),
    inference(cnf_transformation,[],[f237_D]) ).

fof(f237_D,definition,
    ! [X34] :
      ( ! [X32] :
          ( host(X34) != host(X32)
          | ~ sP37(X32) )
    <=> ~ sP38(X34) ),
    introduced(definition,[new_symbols(definition,[sP38])],[general_splitting_component_introduction]) ).

fof(f238,plain,
    ! [X34,X33] :
      ( ~ elem(m_Down(X33),queue(host(X34)))
      | leq(s(zero),sK7(X33,X34))
      | sP21(host(X34))
      | sP22(index(status,host(X34)))
      | ~ sP38(X34) ),
    inference(general_splitting,[],[f236,f237_D]) ).

fof(f239,plain,
    nbr_proc = host(sK4),
    inference(forward_demodulation,[],[f115,f114]) ).

fof(f240,plain,
    elem(m_Down(sK5),snoc(queue(nbr_proc),m_Ack(sK2,sK1))),
    inference(forward_demodulation,[],[f116,f114]) ).

fof(f241,plain,
    ! [X7] :
      ( setIn(X7,index(down,nbr_proc))
      | host(sK5) = X7
      | leq(host(sK6),X7)
      | ~ leq(s(zero),X7) ),
    inference(forward_demodulation,[],[f117,f114]) ).

fof(f242,plain,
    ! [X7] :
      ( setIn(X7,index(down,nbr_proc))
      | leq(nbr_proc,X7)
      | host(sK5) = X7
      | ~ leq(s(zero),X7) ),
    inference(forward_demodulation,[],[f241,f114]) ).

fof(f263,plain,
    elec_1 = index(status,nbr_proc),
    inference(superposition,[],[f113,f114]) ).

fof(f266,plain,
    ! [X0] :
      ( elem(X0,queue(host(sK1)))
      | ~ elem(X0,sK0) ),
    inference(superposition,[],[f128,f93]) ).

fof(f277,plain,
    ! [X0] :
      ( host(X0) != nbr_proc
      | ~ sP31(X0)
      | sP32(sK6) ),
    inference(superposition,[],[f225,f114]) ).

fof(f292,definition,
    ( spl39_3
  <=> sP31(sK4) ),
    introduced(definition,[new_symbols(definition,[spl39_3])],[avatar_definition]) ).

fof(f293,plain,
    ( sP31(sK4)
    | ~ spl39_3 ),
    inference(avatar_component_clause,[],[f292]) ).

fof(f294,plain,
    ( ~ sP31(sK4)
    | spl39_3 ),
    inference(avatar_component_clause,[],[f292]) ).

fof(f306,definition,
    ( spl39_6
  <=> sP32(sK6) ),
    introduced(definition,[new_symbols(definition,[spl39_6])],[avatar_definition]) ).

fof(f310,definition,
    ( spl39_7
  <=> ! [X0] :
        ( host(X0) != nbr_proc
        | ~ sP31(X0) ) ),
    introduced(definition,[new_symbols(definition,[spl39_7])],[avatar_definition]) ).

fof(f311,plain,
    ( ! [X0] :
        ( host(X0) != nbr_proc
        | ~ sP31(X0) )
    | ~ spl39_7 ),
    inference(avatar_component_clause,[],[f310]) ).

fof(f312,plain,
    ( spl39_6
    | spl39_7 ),
    inference(avatar_split_clause,[],[f277,f310,f306]) ).

fof(f340,plain,
    ! [X0] :
      ( host(X0) != nbr_proc
      | ~ sP33(X0)
      | sP34(sK6) ),
    inference(superposition,[],[f229,f114]) ).

fof(f355,definition,
    ( spl39_15
  <=> sP33(sK4) ),
    introduced(definition,[new_symbols(definition,[spl39_15])],[avatar_definition]) ).

fof(f356,plain,
    ( sP33(sK4)
    | ~ spl39_15 ),
    inference(avatar_component_clause,[],[f355]) ).

fof(f357,plain,
    ( ~ sP33(sK4)
    | spl39_15 ),
    inference(avatar_component_clause,[],[f355]) ).

fof(f369,definition,
    ( spl39_18
  <=> sP34(sK6) ),
    introduced(definition,[new_symbols(definition,[spl39_18])],[avatar_definition]) ).

fof(f371,plain,
    ( sP34(sK6)
    | ~ spl39_18 ),
    inference(avatar_component_clause,[],[f369]) ).

fof(f373,definition,
    ( spl39_19
  <=> ! [X0] :
        ( host(X0) != nbr_proc
        | ~ sP33(X0) ) ),
    introduced(definition,[new_symbols(definition,[spl39_19])],[avatar_definition]) ).

fof(f374,plain,
    ( ! [X0] :
        ( host(X0) != nbr_proc
        | ~ sP33(X0) )
    | ~ spl39_19 ),
    inference(avatar_component_clause,[],[f373]) ).

fof(f375,plain,
    ( spl39_18
    | spl39_19 ),
    inference(avatar_split_clause,[],[f340,f373,f369]) ).

fof(f403,plain,
    ! [X0] :
      ( host(X0) != nbr_proc
      | ~ sP35(X0)
      | sP36(sK6) ),
    inference(superposition,[],[f233,f114]) ).

fof(f418,definition,
    ( spl39_27
  <=> sP35(sK4) ),
    introduced(definition,[new_symbols(definition,[spl39_27])],[avatar_definition]) ).

fof(f419,plain,
    ( sP35(sK4)
    | ~ spl39_27 ),
    inference(avatar_component_clause,[],[f418]) ).

fof(f420,plain,
    ( ~ sP35(sK4)
    | spl39_27 ),
    inference(avatar_component_clause,[],[f418]) ).

fof(f432,definition,
    ( spl39_30
  <=> sP36(sK6) ),
    introduced(definition,[new_symbols(definition,[spl39_30])],[avatar_definition]) ).

fof(f436,definition,
    ( spl39_31
  <=> ! [X0] :
        ( host(X0) != nbr_proc
        | ~ sP35(X0) ) ),
    introduced(definition,[new_symbols(definition,[spl39_31])],[avatar_definition]) ).

fof(f437,plain,
    ( ! [X0] :
        ( host(X0) != nbr_proc
        | ~ sP35(X0) )
    | ~ spl39_31 ),
    inference(avatar_component_clause,[],[f436]) ).

fof(f438,plain,
    ( spl39_30
    | spl39_31 ),
    inference(avatar_split_clause,[],[f403,f436,f432]) ).

fof(f466,plain,
    ! [X0] :
      ( host(X0) != nbr_proc
      | ~ sP37(X0)
      | sP38(sK6) ),
    inference(superposition,[],[f237,f114]) ).

fof(f481,definition,
    ( spl39_39
  <=> sP37(sK4) ),
    introduced(definition,[new_symbols(definition,[spl39_39])],[avatar_definition]) ).

fof(f482,plain,
    ( sP37(sK4)
    | ~ spl39_39 ),
    inference(avatar_component_clause,[],[f481]) ).

fof(f483,plain,
    ( ~ sP37(sK4)
    | spl39_39 ),
    inference(avatar_component_clause,[],[f481]) ).

fof(f495,definition,
    ( spl39_42
  <=> sP38(sK6) ),
    introduced(definition,[new_symbols(definition,[spl39_42])],[avatar_definition]) ).

fof(f499,definition,
    ( spl39_43
  <=> ! [X0] :
        ( host(X0) != nbr_proc
        | ~ sP37(X0) ) ),
    introduced(definition,[new_symbols(definition,[spl39_43])],[avatar_definition]) ).

fof(f500,plain,
    ( ! [X0] :
        ( host(X0) != nbr_proc
        | ~ sP37(X0) )
    | ~ spl39_43 ),
    inference(avatar_component_clause,[],[f499]) ).

fof(f501,plain,
    ( spl39_42
    | spl39_43 ),
    inference(avatar_split_clause,[],[f466,f499,f495]) ).

fof(f526,plain,
    ( elem(m_Down(sK5),queue(nbr_proc))
    | m_Down(sK5) = m_Ack(sK2,sK1) ),
    inference(resolution,[],[f240,f124]) ).

fof(f527,plain,
    elem(m_Down(sK5),queue(nbr_proc)),
    inference(forward_subsumption_resolution,[],[f526,f122]) ).

fof(f652,plain,
    ! [X0] :
      ( ~ leq(nbr_proc,sK7(X0,sK6))
      | ~ elem(m_Down(X0),queue(nbr_proc))
      | sP19(nbr_proc)
      | sP20(index(status,nbr_proc))
      | ~ sP36(sK6) ),
    inference(superposition,[],[f234,f114]) ).

fof(f653,plain,
    ! [X0] :
      ( ~ leq(nbr_proc,sK7(X0,sK6))
      | ~ elem(m_Down(X0),queue(nbr_proc))
      | sP20(index(status,nbr_proc))
      | ~ sP36(sK6) ),
    inference(forward_subsumption_resolution,[],[f652,f191]) ).

fof(f657,plain,
    ! [X0] :
      ( sP20(elec_1)
      | ~ leq(nbr_proc,sK7(X0,sK6))
      | ~ elem(m_Down(X0),queue(nbr_proc))
      | ~ sP36(sK6) ),
    inference(forward_demodulation,[],[f653,f263]) ).

fof(f661,plain,
    ! [X0] :
      ( ~ leq(nbr_proc,sK7(X0,sK6))
      | ~ elem(m_Down(X0),queue(nbr_proc))
      | ~ sP36(sK6) ),
    inference(forward_subsumption_resolution,[],[f657,f192]) ).

fof(f677,definition,
    ( spl39_59
  <=> ! [X0] :
        ( ~ leq(nbr_proc,sK7(X0,sK6))
        | ~ elem(m_Down(X0),queue(nbr_proc)) ) ),
    introduced(definition,[new_symbols(definition,[spl39_59])],[avatar_definition]) ).

fof(f678,plain,
    ( ! [X0] :
        ( ~ leq(nbr_proc,sK7(X0,sK6))
        | ~ elem(m_Down(X0),queue(nbr_proc)) )
    | ~ spl39_59 ),
    inference(avatar_component_clause,[],[f677]) ).

fof(f679,plain,
    ( ~ spl39_30
    | spl39_59 ),
    inference(avatar_split_clause,[],[f661,f677,f432]) ).

fof(f697,plain,
    ! [X0] :
      ( ~ elem(m_Down(X0),queue(nbr_proc))
      | leq(s(zero),sK7(X0,sK6))
      | sP21(nbr_proc)
      | sP22(index(status,nbr_proc))
      | ~ sP38(sK6) ),
    inference(superposition,[],[f238,f114]) ).

fof(f698,plain,
    ! [X0] :
      ( ~ elem(m_Down(X0),queue(nbr_proc))
      | leq(s(zero),sK7(X0,sK6))
      | sP22(index(status,nbr_proc))
      | ~ sP38(sK6) ),
    inference(forward_subsumption_resolution,[],[f697,f194]) ).

fof(f702,plain,
    ! [X0] :
      ( sP22(elec_1)
      | ~ elem(m_Down(X0),queue(nbr_proc))
      | leq(s(zero),sK7(X0,sK6))
      | ~ sP38(sK6) ),
    inference(forward_demodulation,[],[f698,f263]) ).

fof(f706,plain,
    ! [X0] :
      ( ~ elem(m_Down(X0),queue(nbr_proc))
      | leq(s(zero),sK7(X0,sK6))
      | ~ sP38(sK6) ),
    inference(forward_subsumption_resolution,[],[f702,f195]) ).

fof(f722,definition,
    ( spl39_65
  <=> ! [X0] :
        ( ~ elem(m_Down(X0),queue(nbr_proc))
        | leq(s(zero),sK7(X0,sK6)) ) ),
    introduced(definition,[new_symbols(definition,[spl39_65])],[avatar_definition]) ).

fof(f723,plain,
    ( ! [X0] :
        ( leq(s(zero),sK7(X0,sK6))
        | ~ elem(m_Down(X0),queue(nbr_proc)) )
    | ~ spl39_65 ),
    inference(avatar_component_clause,[],[f722]) ).

fof(f724,plain,
    ( ~ spl39_42
    | spl39_65 ),
    inference(avatar_split_clause,[],[f706,f722,f495]) ).

fof(f741,plain,
    ! [X0] :
      ( ~ setIn(sK7(X0,sK6),index(down,nbr_proc))
      | ~ elem(m_Down(X0),queue(nbr_proc))
      | sP15(nbr_proc)
      | sP16(index(status,nbr_proc))
      | ~ sP32(sK6) ),
    inference(superposition,[],[f226,f114]) ).

fof(f742,plain,
    ! [X0] :
      ( ~ setIn(sK7(X0,sK6),index(down,nbr_proc))
      | ~ elem(m_Down(X0),queue(nbr_proc))
      | sP16(index(status,nbr_proc))
      | ~ sP32(sK6) ),
    inference(forward_subsumption_resolution,[],[f741,f185]) ).

fof(f746,plain,
    ! [X0] :
      ( sP16(elec_1)
      | ~ setIn(sK7(X0,sK6),index(down,nbr_proc))
      | ~ elem(m_Down(X0),queue(nbr_proc))
      | ~ sP32(sK6) ),
    inference(forward_demodulation,[],[f742,f263]) ).

fof(f750,plain,
    ! [X0] :
      ( ~ setIn(sK7(X0,sK6),index(down,nbr_proc))
      | ~ elem(m_Down(X0),queue(nbr_proc))
      | ~ sP32(sK6) ),
    inference(forward_subsumption_resolution,[],[f746,f186]) ).

fof(f766,definition,
    ( spl39_71
  <=> ! [X0] :
        ( ~ setIn(sK7(X0,sK6),index(down,nbr_proc))
        | ~ elem(m_Down(X0),queue(nbr_proc)) ) ),
    introduced(definition,[new_symbols(definition,[spl39_71])],[avatar_definition]) ).

fof(f767,plain,
    ( ! [X0] :
        ( ~ setIn(sK7(X0,sK6),index(down,nbr_proc))
        | ~ elem(m_Down(X0),queue(nbr_proc)) )
    | ~ spl39_71 ),
    inference(avatar_component_clause,[],[f766]) ).

fof(f768,plain,
    ( ~ spl39_6
    | spl39_71 ),
    inference(avatar_split_clause,[],[f750,f766,f306]) ).

fof(f849,plain,
    ( nbr_proc != nbr_proc
    | ~ sP31(sK4)
    | ~ spl39_7 ),
    inference(superposition,[],[f311,f239]) ).

fof(f852,plain,
    ( ~ sP31(sK4)
    | ~ spl39_7 ),
    inference(trivial_inequality_removal,[],[f849]) ).

fof(f855,plain,
    ( nbr_proc != nbr_proc
    | ~ sP33(sK4)
    | ~ spl39_19 ),
    inference(superposition,[],[f374,f239]) ).

fof(f858,plain,
    ( ~ sP33(sK4)
    | ~ spl39_19 ),
    inference(trivial_inequality_removal,[],[f855]) ).

fof(f861,plain,
    ( nbr_proc != nbr_proc
    | ~ sP35(sK4)
    | ~ spl39_31 ),
    inference(superposition,[],[f437,f239]) ).

fof(f864,plain,
    ( ~ sP35(sK4)
    | ~ spl39_31 ),
    inference(trivial_inequality_removal,[],[f861]) ).

fof(f867,plain,
    ( nbr_proc != nbr_proc
    | ~ sP37(sK4)
    | ~ spl39_43 ),
    inference(superposition,[],[f500,f239]) ).

fof(f870,plain,
    ( ~ sP37(sK4)
    | ~ spl39_43 ),
    inference(trivial_inequality_removal,[],[f867]) ).

fof(f892,plain,
    ! [X0] :
      ( ~ elem(m_Down(X0),sK0)
      | ~ setIn(sK1,alive)
      | sP37(X0) ),
    inference(resolution,[],[f266,f235]) ).

fof(f893,plain,
    ! [X0] :
      ( ~ elem(m_Down(X0),sK0)
      | ~ setIn(sK1,alive)
      | sP35(X0) ),
    inference(resolution,[],[f266,f231]) ).

fof(f894,plain,
    ! [X0] :
      ( ~ elem(m_Down(X0),sK0)
      | ~ setIn(sK1,alive)
      | sP33(X0) ),
    inference(resolution,[],[f266,f227]) ).

fof(f895,plain,
    ! [X0] :
      ( ~ elem(m_Down(X0),sK0)
      | ~ setIn(sK1,alive)
      | sP31(X0) ),
    inference(resolution,[],[f266,f223]) ).

fof(f907,plain,
    ! [X0] :
      ( ~ elem(m_Down(X0),sK0)
      | sP31(X0) ),
    inference(forward_subsumption_resolution,[],[f895,f108]) ).

fof(f908,plain,
    ! [X0] :
      ( ~ elem(m_Down(X0),sK0)
      | sP33(X0) ),
    inference(forward_subsumption_resolution,[],[f894,f108]) ).

fof(f909,plain,
    ! [X0] :
      ( ~ elem(m_Down(X0),sK0)
      | sP35(X0) ),
    inference(forward_subsumption_resolution,[],[f893,f108]) ).

fof(f910,plain,
    ! [X0] :
      ( ~ elem(m_Down(X0),sK0)
      | sP37(X0) ),
    inference(forward_subsumption_resolution,[],[f892,f108]) ).

fof(f951,plain,
    sP31(sK4),
    inference(resolution,[],[f907,f118]) ).

fof(f952,plain,
    ( $false
    | spl39_3 ),
    inference(forward_subsumption_resolution,[],[f951,f294]) ).

fof(f953,plain,
    spl39_3,
    inference(avatar_contradiction_clause,[],[f952]) ).

fof(f954,plain,
    ( $false
    | ~ spl39_3
    | ~ spl39_7 ),
    inference(forward_subsumption_resolution,[],[f852,f293]) ).

fof(f955,plain,
    ( ~ spl39_3
    | ~ spl39_7 ),
    inference(avatar_contradiction_clause,[],[f954]) ).

fof(f971,plain,
    sP33(sK4),
    inference(resolution,[],[f908,f118]) ).

fof(f972,plain,
    ( $false
    | spl39_15 ),
    inference(forward_subsumption_resolution,[],[f971,f357]) ).

fof(f973,plain,
    spl39_15,
    inference(avatar_contradiction_clause,[],[f972]) ).

fof(f974,plain,
    ( $false
    | ~ spl39_15
    | ~ spl39_19 ),
    inference(forward_subsumption_resolution,[],[f858,f356]) ).

fof(f975,plain,
    ( ~ spl39_15
    | ~ spl39_19 ),
    inference(avatar_contradiction_clause,[],[f974]) ).

fof(f983,plain,
    sP35(sK4),
    inference(resolution,[],[f909,f118]) ).

fof(f984,plain,
    ( $false
    | spl39_27 ),
    inference(forward_subsumption_resolution,[],[f983,f420]) ).

fof(f985,plain,
    spl39_27,
    inference(avatar_contradiction_clause,[],[f984]) ).

fof(f986,plain,
    ( $false
    | ~ spl39_27
    | ~ spl39_31 ),
    inference(forward_subsumption_resolution,[],[f864,f419]) ).

fof(f987,plain,
    ( ~ spl39_27
    | ~ spl39_31 ),
    inference(avatar_contradiction_clause,[],[f986]) ).

fof(f995,plain,
    sP37(sK4),
    inference(resolution,[],[f910,f118]) ).

fof(f996,plain,
    ( $false
    | spl39_39 ),
    inference(forward_subsumption_resolution,[],[f995,f483]) ).

fof(f997,plain,
    spl39_39,
    inference(avatar_contradiction_clause,[],[f996]) ).

fof(f998,plain,
    ( $false
    | ~ spl39_39
    | ~ spl39_43 ),
    inference(forward_subsumption_resolution,[],[f870,f482]) ).

fof(f999,plain,
    ( ~ spl39_39
    | ~ spl39_43 ),
    inference(avatar_contradiction_clause,[],[f998]) ).

fof(f1090,plain,
    ( ! [X0] :
        ( ~ elem(m_Down(X0),queue(nbr_proc))
        | leq(nbr_proc,sK7(X0,sK6))
        | host(sK5) = sK7(X0,sK6)
        | ~ leq(s(zero),sK7(X0,sK6)) )
    | ~ spl39_71 ),
    inference(resolution,[],[f767,f242]) ).

fof(f1091,plain,
    ( ! [X0] :
        ( ~ elem(m_Down(X0),queue(nbr_proc))
        | host(sK5) = sK7(X0,sK6)
        | ~ leq(s(zero),sK7(X0,sK6)) )
    | ~ spl39_59
    | ~ spl39_71 ),
    inference(forward_subsumption_resolution,[],[f1090,f678]) ).

fof(f1092,plain,
    ( ! [X0] :
        ( host(sK5) = sK7(X0,sK6)
        | ~ elem(m_Down(X0),queue(nbr_proc)) )
    | ~ spl39_59
    | ~ spl39_65
    | ~ spl39_71 ),
    inference(forward_subsumption_resolution,[],[f1091,f723]) ).

fof(f1622,plain,
    ( ! [X0] :
        ( host(X0) != host(sK5)
        | ~ elem(m_Down(X0),queue(host(sK6)))
        | sP17(host(sK6))
        | sP18(index(status,host(sK6)))
        | ~ sP34(sK6)
        | ~ elem(m_Down(X0),queue(nbr_proc)) )
    | ~ spl39_59
    | ~ spl39_65
    | ~ spl39_71 ),
    inference(superposition,[],[f230,f1092]) ).

fof(f1626,plain,
    ( ! [X0] :
        ( host(X0) != host(sK5)
        | ~ elem(m_Down(X0),queue(host(sK6)))
        | sP17(host(sK6))
        | sP18(index(status,host(sK6)))
        | ~ elem(m_Down(X0),queue(nbr_proc)) )
    | ~ spl39_18
    | ~ spl39_59
    | ~ spl39_65
    | ~ spl39_71 ),
    inference(forward_subsumption_resolution,[],[f1622,f371]) ).

fof(f1925,plain,
    ( ! [X0] :
        ( ~ elem(m_Down(X0),queue(nbr_proc))
        | host(X0) != host(sK5)
        | sP17(host(sK6))
        | sP18(index(status,host(sK6)))
        | ~ elem(m_Down(X0),queue(nbr_proc)) )
    | ~ spl39_18
    | ~ spl39_59
    | ~ spl39_65
    | ~ spl39_71 ),
    inference(forward_demodulation,[],[f1626,f114]) ).

fof(f1926,plain,
    ( ! [X0] :
        ( ~ elem(m_Down(X0),queue(nbr_proc))
        | host(X0) != host(sK5)
        | sP17(host(sK6))
        | sP18(index(status,host(sK6))) )
    | ~ spl39_18
    | ~ spl39_59
    | ~ spl39_65
    | ~ spl39_71 ),
    inference(duplicate_literal_removal,[],[f1925]) ).

fof(f1951,plain,
    ( ! [X0] :
        ( sP17(nbr_proc)
        | ~ elem(m_Down(X0),queue(nbr_proc))
        | host(X0) != host(sK5)
        | sP18(index(status,host(sK6))) )
    | ~ spl39_18
    | ~ spl39_59
    | ~ spl39_65
    | ~ spl39_71 ),
    inference(forward_demodulation,[],[f1926,f114]) ).

fof(f1956,plain,
    ( ! [X0] :
        ( ~ elem(m_Down(X0),queue(nbr_proc))
        | host(X0) != host(sK5)
        | sP18(index(status,host(sK6))) )
    | ~ spl39_18
    | ~ spl39_59
    | ~ spl39_65
    | ~ spl39_71 ),
    inference(forward_subsumption_resolution,[],[f1951,f188]) ).

fof(f1959,plain,
    ( ! [X0] :
        ( sP18(elec_1)
        | ~ elem(m_Down(X0),queue(nbr_proc))
        | host(X0) != host(sK5) )
    | ~ spl39_18
    | ~ spl39_59
    | ~ spl39_65
    | ~ spl39_71 ),
    inference(forward_demodulation,[],[f1956,f113]) ).

fof(f1962,plain,
    ( ! [X0] :
        ( host(X0) != host(sK5)
        | ~ elem(m_Down(X0),queue(nbr_proc)) )
    | ~ spl39_18
    | ~ spl39_59
    | ~ spl39_65
    | ~ spl39_71 ),
    inference(forward_subsumption_resolution,[],[f1959,f189]) ).

fof(f2453,plain,
    ( ~ elem(m_Down(sK5),queue(nbr_proc))
    | ~ spl39_18
    | ~ spl39_59
    | ~ spl39_65
    | ~ spl39_71 ),
    inference(equality_resolution,[],[f1962]) ).

fof(f2457,plain,
    ( $false
    | ~ spl39_18
    | ~ spl39_59
    | ~ spl39_65
    | ~ spl39_71 ),
    inference(forward_subsumption_resolution,[],[f2453,f527]) ).

fof(f2458,plain,
    ( ~ spl39_18
    | ~ spl39_59
    | ~ spl39_65
    | ~ spl39_71 ),
    inference(avatar_contradiction_clause,[],[f2457]) ).

cnf(s4,plain,
    ( spl39_6
    | spl39_7 ),
    inference(sat_conversion,[],[f312]) ).

cnf(s12,plain,
    ( spl39_18
    | spl39_19 ),
    inference(sat_conversion,[],[f375]) ).

cnf(s20,plain,
    ( spl39_30
    | spl39_31 ),
    inference(sat_conversion,[],[f438]) ).

cnf(s28,plain,
    ( spl39_42
    | spl39_43 ),
    inference(sat_conversion,[],[f501]) ).

cnf(s39,plain,
    ( ~ spl39_30
    | spl39_59 ),
    inference(sat_conversion,[],[f679]) ).

cnf(s43,plain,
    ( ~ spl39_42
    | spl39_65 ),
    inference(sat_conversion,[],[f724]) ).

cnf(s47,plain,
    ( ~ spl39_6
    | spl39_71 ),
    inference(sat_conversion,[],[f768]) ).

cnf(s56,plain,
    spl39_3,
    inference(sat_conversion,[],[f953]) ).

cnf(s57,plain,
    ( ~ spl39_3
    | ~ spl39_7 ),
    inference(sat_conversion,[],[f955]) ).

cnf(s59,plain,
    spl39_15,
    inference(sat_conversion,[],[f973]) ).

cnf(s60,plain,
    ( ~ spl39_15
    | ~ spl39_19 ),
    inference(sat_conversion,[],[f975]) ).

cnf(s61,plain,
    spl39_27,
    inference(sat_conversion,[],[f985]) ).

cnf(s62,plain,
    ( ~ spl39_27
    | ~ spl39_31 ),
    inference(sat_conversion,[],[f987]) ).

cnf(s63,plain,
    spl39_39,
    inference(sat_conversion,[],[f997]) ).

cnf(s64,plain,
    ( ~ spl39_39
    | ~ spl39_43 ),
    inference(sat_conversion,[],[f999]) ).

cnf(s166,plain,
    ( ~ spl39_18
    | ~ spl39_59
    | ~ spl39_65
    | ~ spl39_71 ),
    inference(sat_conversion,[],[f2458]) ).

cnf(s170,plain,
    ~ spl39_43,
    inference(rat,[],[s64,s63]) ).

cnf(s171,plain,
    ~ spl39_31,
    inference(rat,[],[s62,s61]) ).

cnf(s172,plain,
    ~ spl39_19,
    inference(rat,[],[s60,s59]) ).

cnf(s173,plain,
    ~ spl39_7,
    inference(rat,[],[s57,s56]) ).

cnf(s178,plain,
    spl39_42,
    inference(rat,[],[s28,s170]) ).

cnf(s179,plain,
    spl39_65,
    inference(rat,[],[s43,s178]) ).

cnf(s185,plain,
    spl39_30,
    inference(rat,[],[s20,s171]) ).

cnf(s186,plain,
    spl39_59,
    inference(rat,[],[s39,s185]) ).

cnf(s190,plain,
    spl39_18,
    inference(rat,[],[s12,s172]) ).

cnf(s191,plain,
    ~ spl39_71,
    inference(rat,[],[s166,s186,s179,s190]) ).

cnf(s192,plain,
    ~ spl39_6,
    inference(rat,[],[s47,s191]) ).

cnf(s200,plain,
    $false,
    inference(rat,[],[s4,s173,s192]) ).

fof(f2465,plain,
    $false,
    inference(avatar_sat_refutation,[],[s200]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SWV471+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.06  % Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.19  % Computer : n006.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 11:10:46 UTC 2026
% 0.08/0.20  % CPUTime  : 
% 0.08/0.20  Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.23  Running first-order theorem proving
% 0.08/0.23  Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.68/0.91  % (3892931)Detected formulas, will run a generic FOF schedule.
% 2.68/0.91  % (3892942)dis-21_1_sil=8000:lcm=predicate:random_seed=1794907431:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 2.68/0.91  % (3892942)Instruction limit reached! 
% 2.68/0.91  % (3892942)------------------------------
% 2.68/0.91  % (3892942)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.68/0.91  % (3892942)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.68/0.91  % (3892942)CaDiCaL version: 2.1.3
% 2.68/0.91  % (3892942)Termination reason: Instruction limit
% 2.68/0.91  % (3892942)Termination phase: Saturation
% 2.68/0.91  % (3892942)Time elapsed: 0.038 s
% 2.68/0.91  % (3892942)Peak memory usage: 89 MB
% 2.68/0.91  % (3892942)Instructions burned: 132 (million)
% 2.68/0.91  % (3892936)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=1672840701:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 2.68/0.91  % (3892939)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=4292339346:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 2.68/0.91  % (3892940)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2358481243:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 2.68/0.91  % (3892941)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3326527493:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 2.68/0.91  % (3892938)lrs+1010_1_anc=all:sfv=off:to=kbo:ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:prc=on:sos=all:bsr=unit_only:sac=on:random_seed=1717279939:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 2.68/0.91  % (3892937)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=1982753648:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 2.68/0.91  % (3892939)First to succeed.
% 2.68/0.91  % (3892939)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3892931"
% 2.68/0.91  % (3892940)Instruction limit reached! 
% 2.68/0.91  % (3892940)------------------------------
% 2.68/0.91  % (3892940)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.68/0.91  % (3892940)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.68/0.91  % (3892940)CaDiCaL version: 2.1.3
% 2.68/0.91  % (3892940)Termination reason: Instruction limit
% 2.68/0.91  % (3892940)Termination phase: Saturation
% 2.68/0.91  % (3892940)Time elapsed: 0.072 s
% 2.68/0.91  % (3892940)Peak memory usage: 88 MB
% 2.68/0.91  % (3892940)Instructions burned: 121 (million)
% 2.68/0.91  % (3892941)Instruction limit reached! 
% 2.68/0.91  % (3892941)------------------------------
% 2.68/0.91  % (3892941)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.68/0.91  % (3892941)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.68/0.91  % (3892941)CaDiCaL version: 2.1.3
% 2.68/0.91  % (3892941)Termination reason: Instruction limit
% 2.68/0.91  % (3892941)Termination phase: Saturation
% 2.68/0.91  % (3892941)Time elapsed: 0.101 s
% 2.68/0.91  % (3892941)Peak memory usage: 90 MB
% 2.68/0.91  % (3892941)Instructions burned: 139 (million)
% 2.68/0.91  % (3892944)lrs+10_1_sil=8000:sp=occurrence:random_seed=2262394948:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 2.68/0.91  % (3892944)Also succeeded, but the first one will report.
% 2.68/0.91  % (3892951)lrs+10_1_sil=32000:urr=on:br=off:random_seed=1923504039:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 2.68/0.91  % (3892952)lrs+1011_1_sil=32000:sp=occurrence:random_seed=3733744583:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 2.68/0.91  % (3892951)Also succeeded, but the first one will report.
% 2.68/0.91  % (3892939)Refutation found. Thanks to Tanya!
% 2.68/0.91  % SZS status Theorem for theBenchmark
% 2.68/0.91  % SZS output start Proof for theBenchmark
% See solution above
% 2.68/1.00  % (3892939)------------------------------
% 2.68/1.00  % (3892939)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.68/1.00  % (3892939)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.68/1.00  % (3892939)CaDiCaL version: 2.1.3
% 2.68/1.00  % (3892939)Termination reason: Refutation
% 2.68/1.00  % (3892939)Time elapsed: 0.049 s
% 2.68/1.00  % (3892939)Peak memory usage: 90 MB
% 2.68/1.00  % (3892939)Instructions burned: 78 (million)
% 2.68/1.00  % (3892939)------------------------------
% 2.68/1.00  % (3892939)------------------------------
% 2.68/1.00  % (3892931)Success in time 0.478 s
% 2.68/1.00  % Vampire exiting
%------------------------------------------------------------------------------