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E---3.5.1.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : E---3.5.1
% Problem  : SWV466+1 : TPTP v9.3.1. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM

% Computer : n018.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 : Thu Sep 24 02:55:35 PM UTC 2026

% Result   : Theorem 11.64s 1.90s
% Output   : CNFRefutation 11.64s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   13
%            Number of leaves      :   11
% Syntax   : Number of formulae    :   78 (  40 unt;   0 def)
%            Number of atoms       :  652 ( 255 equ)
%            Maximal formula atoms :  114 (   8 avg)
%            Number of connectives :  850 ( 276   ~; 185   |; 286   &)
%                                         (   8 <=>;  95  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   71 (   6 avg)
%            Maximal term depth    :    4 (   2 avg)
%            Number of predicates  :    9 (   7 usr;   4 prp; 0-3 aty)
%            Number of functors    :   31 (  31 usr;  20 con; 0-7 aty)
%            Number of variables   :  324 (  30 sgn 264   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(conj,conjecture,
    ! [X12,X13,X5,X6] :
      ( ( queue(host(X5)) = cons(m_Down(X6),X12)
        & ! [X7,X16,X15,X14] :
            ( ( host(X15) = s(index(pendack,host(X14)))
              & host(X16) = index(pendack,host(X14))
              & index(status,host(X14)) = elec_2
              & leq(nbr_proc,s(index(pendack,host(X14))))
              & elem(m_Ack(X14,X16),queue(host(X14)))
              & elem(m_Down(X15),queue(host(X14)))
              & setIn(X14,alive) )
           => ~ ( index(status,host(X7)) = norm
                & index(ldr,host(X7)) = host(X7)
                & setIn(X7,alive) ) )
        & ! [X7,X16,X15,X14] :
            ( ( index(status,host(X14)) = elec_1
              & host(X14) = host(X16)
              & host(X14) = nbr_proc
              & elem(m_Down(X15),queue(host(X14)))
              & ! [X17] :
                  ( ( leq(s(zero),X17)
                    & ~ leq(host(X14),X17) )
                 => ( X17 = host(X15)
                    | setIn(X17,index(down,host(X14))) ) ) )
           => ~ ( elem(m_Down(X16),queue(host(X7)))
                & setIn(X7,alive) ) )
        & ! [X7,X15,X14] :
            ( ( index(status,host(X14)) = elec_2
              & elem(m_Halt(X14),queue(host(X15)))
              & setIn(X14,alive)
              & ~ leq(index(pendack,host(X14)),host(X7)) )
           => ~ ( index(status,host(X7)) = norm
                & index(ldr,host(X7)) = host(X7)
                & setIn(X7,alive) ) )
        & ! [X7,X14] :
            ( ( index(status,host(X14)) = elec_2
              & index(status,host(X7)) = elec_2
              & setIn(X14,alive)
              & setIn(X7,alive)
              & ~ leq(host(X7),host(X14)) )
           => ~ leq(index(pendack,host(X7)),index(pendack,host(X14))) )
        & ! [X7,X15,X14] :
            ( ( index(status,host(X14)) = elec_2
              & index(status,host(X7)) = elec_2
              & host(X14) = host(X15)
              & setIn(X14,alive)
              & setIn(X7,alive) )
           => ~ elem(m_Ack(X7,X15),queue(host(X7))) )
        & ! [X7,X14] :
            ( ( index(status,host(X14)) = elec_2
              & index(status,host(X7)) = elec_2
              & setIn(X14,alive)
              & setIn(X7,alive)
              & ~ leq(host(X7),host(X14)) )
           => leq(index(pendack,host(X14)),host(X7)) )
        & ! [X7,X15,X14] :
            ( ( host(X15) = host(X7)
              & elem(m_Down(X15),queue(host(X14)))
              & setIn(X14,alive) )
           => ~ ( index(status,host(X7)) = norm
                & index(ldr,host(X7)) = host(X7)
                & setIn(X7,alive) ) )
        & ! [X7] :
            ( ( setIn(X7,alive)
              & ( index(status,host(X7)) = elec_2
                | index(status,host(X7)) = elec_1 ) )
           => index(elid,host(X7)) = X7 )
        & ! [X7,X14] :
            ( ( index(status,host(X14)) = elec_1
              & setIn(X14,alive) )
           => ~ elem(m_Ack(X14,X7),queue(host(X14))) )
        & ! [X7,X14] :
            ( ( elem(m_Ack(X14,X7),queue(host(X14)))
              & setIn(X14,alive) )
           => leq(host(X7),index(pendack,host(X14))) )
        & ! [X7,X14] :
            ( ( host(X14) = host(X7)
              & X14 != X7 )
           => ( ~ setIn(X14,alive)
              | ~ setIn(X7,alive) ) )
        & ! [X7,X15,X14] :
            ( elem(m_Ack(X14,X7),queue(host(X15)))
           => ~ leq(host(X7),host(X14)) )
        & ! [X7,X14] :
            ( elem(m_Halt(X14),queue(host(X7)))
           => ~ leq(host(X7),host(X14)) )
        & ! [X7,X14] :
            ( elem(m_Down(X14),queue(host(X7)))
           => host(X14) != host(X7) )
        & ! [X7,X14] :
            ( elem(m_Ldr(X14),queue(host(X7)))
           => ~ leq(host(X7),host(X14)) ) )
     => ( setIn(X5,alive)
       => ( leq(host(X5),host(X6))
         => ( ( host(X6) = index(pendack,host(X5))
              & index(status,host(X5)) = elec_2 )
           => ( leq(nbr_proc,index(pendack,host(X5)))
             => ! [X7] :
                  ( setIn(host(X7),index(acks,host(X5)))
                 => ! [X17] :
                      ( host(X5) = host(X17)
                     => ! [X18,X19,X20] :
                          ( host(X7) = host(X20)
                         => ( host(X5) != host(X20)
                           => ( ( host(X19) = s(index(pendack,host(X20)))
                                & host(X18) = index(pendack,host(X20))
                                & index(status,host(X20)) = elec_2
                                & elem(m_Ack(X20,X18),snoc(queue(host(X20)),m_Ldr(X5)))
                                & elem(m_Down(X19),snoc(queue(host(X20)),m_Ldr(X5)))
                                & leq(nbr_proc,s(index(pendack,host(X20))))
                                & setIn(X20,alive) )
                             => ~ ( host(X5) = host(X17)
                                  & setIn(X17,alive) ) ) ) ) ) ) ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj) ).

fof(axiom_61,axiom,
    ! [X5,X6] :
      ( ( leq(X6,X5)
        & leq(X5,X6) )
    <=> X5 = X6 ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWV011+0.ax',axiom_61) ).

fof(axiom_04,axiom,
    ! [X3] : leq(host(X3),nbr_proc),
    file('/export/starexec/sandbox/benchmark/Axioms/SWV011+0.ax',axiom_04) ).

fof(axiom_14,axiom,
    ! [X5,X6,X7] : m_Ack(X5,X6) != m_Ldr(X7),
    file('/export/starexec/sandbox/benchmark/Axioms/SWV011+0.ax',axiom_14) ).

fof(axiom_47,axiom,
    ! [X5,X6,X4] :
      ( elem(X5,snoc(X4,X6))
    <=> ( elem(X5,X4)
        | X5 = X6 ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWV011+0.ax',axiom_47) ).

fof(axiom_46,axiom,
    ! [X5,X6,X4] :
      ( elem(X5,cons(X6,X4))
    <=> ( elem(X5,X4)
        | X5 = X6 ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWV011+0.ax',axiom_46) ).

fof(axiom_64,axiom,
    ! [X5,X6] :
      ( leq(X5,s(X6))
    <=> ( leq(X5,X6)
        | X5 = s(X6) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWV011+0.ax',axiom_64) ).

fof(c_0_7,negated_conjecture,
    ~ ! [X12,X13,X5,X6] :
        ( ( queue(host(X5)) = cons(m_Down(X6),X12)
          & ! [X7,X16,X15,X14] :
              ( ( host(X15) = s(index(pendack,host(X14)))
                & host(X16) = index(pendack,host(X14))
                & index(status,host(X14)) = elec_2
                & leq(nbr_proc,s(index(pendack,host(X14))))
                & elem(m_Ack(X14,X16),queue(host(X14)))
                & elem(m_Down(X15),queue(host(X14)))
                & setIn(X14,alive) )
             => ~ ( index(status,host(X7)) = norm
                  & index(ldr,host(X7)) = host(X7)
                  & setIn(X7,alive) ) )
          & ! [X7,X16,X15,X14] :
              ( ( index(status,host(X14)) = elec_1
                & host(X14) = host(X16)
                & host(X14) = nbr_proc
                & elem(m_Down(X15),queue(host(X14)))
                & ! [X17] :
                    ( ( leq(s(zero),X17)
                      & ~ leq(host(X14),X17) )
                   => ( X17 = host(X15)
                      | setIn(X17,index(down,host(X14))) ) ) )
             => ~ ( elem(m_Down(X16),queue(host(X7)))
                  & setIn(X7,alive) ) )
          & ! [X7,X15,X14] :
              ( ( index(status,host(X14)) = elec_2
                & elem(m_Halt(X14),queue(host(X15)))
                & setIn(X14,alive)
                & ~ leq(index(pendack,host(X14)),host(X7)) )
             => ~ ( index(status,host(X7)) = norm
                  & index(ldr,host(X7)) = host(X7)
                  & setIn(X7,alive) ) )
          & ! [X7,X14] :
              ( ( index(status,host(X14)) = elec_2
                & index(status,host(X7)) = elec_2
                & setIn(X14,alive)
                & setIn(X7,alive)
                & ~ leq(host(X7),host(X14)) )
             => ~ leq(index(pendack,host(X7)),index(pendack,host(X14))) )
          & ! [X7,X15,X14] :
              ( ( index(status,host(X14)) = elec_2
                & index(status,host(X7)) = elec_2
                & host(X14) = host(X15)
                & setIn(X14,alive)
                & setIn(X7,alive) )
             => ~ elem(m_Ack(X7,X15),queue(host(X7))) )
          & ! [X7,X14] :
              ( ( index(status,host(X14)) = elec_2
                & index(status,host(X7)) = elec_2
                & setIn(X14,alive)
                & setIn(X7,alive)
                & ~ leq(host(X7),host(X14)) )
             => leq(index(pendack,host(X14)),host(X7)) )
          & ! [X7,X15,X14] :
              ( ( host(X15) = host(X7)
                & elem(m_Down(X15),queue(host(X14)))
                & setIn(X14,alive) )
             => ~ ( index(status,host(X7)) = norm
                  & index(ldr,host(X7)) = host(X7)
                  & setIn(X7,alive) ) )
          & ! [X7] :
              ( ( setIn(X7,alive)
                & ( index(status,host(X7)) = elec_2
                  | index(status,host(X7)) = elec_1 ) )
             => index(elid,host(X7)) = X7 )
          & ! [X7,X14] :
              ( ( index(status,host(X14)) = elec_1
                & setIn(X14,alive) )
             => ~ elem(m_Ack(X14,X7),queue(host(X14))) )
          & ! [X7,X14] :
              ( ( elem(m_Ack(X14,X7),queue(host(X14)))
                & setIn(X14,alive) )
             => leq(host(X7),index(pendack,host(X14))) )
          & ! [X7,X14] :
              ( ( host(X14) = host(X7)
                & X14 != X7 )
             => ( ~ setIn(X14,alive)
                | ~ setIn(X7,alive) ) )
          & ! [X7,X15,X14] :
              ( elem(m_Ack(X14,X7),queue(host(X15)))
             => ~ leq(host(X7),host(X14)) )
          & ! [X7,X14] :
              ( elem(m_Halt(X14),queue(host(X7)))
             => ~ leq(host(X7),host(X14)) )
          & ! [X7,X14] :
              ( elem(m_Down(X14),queue(host(X7)))
             => host(X14) != host(X7) )
          & ! [X7,X14] :
              ( elem(m_Ldr(X14),queue(host(X7)))
             => ~ leq(host(X7),host(X14)) ) )
       => ( setIn(X5,alive)
         => ( leq(host(X5),host(X6))
           => ( ( host(X6) = index(pendack,host(X5))
                & index(status,host(X5)) = elec_2 )
             => ( leq(nbr_proc,index(pendack,host(X5)))
               => ! [X7] :
                    ( setIn(host(X7),index(acks,host(X5)))
                   => ! [X17] :
                        ( host(X5) = host(X17)
                       => ! [X18,X19,X20] :
                            ( host(X7) = host(X20)
                           => ( host(X5) != host(X20)
                             => ( ( host(X19) = s(index(pendack,host(X20)))
                                  & host(X18) = index(pendack,host(X20))
                                  & index(status,host(X20)) = elec_2
                                  & elem(m_Ack(X20,X18),snoc(queue(host(X20)),m_Ldr(X5)))
                                  & elem(m_Down(X19),snoc(queue(host(X20)),m_Ldr(X5)))
                                  & leq(nbr_proc,s(index(pendack,host(X20))))
                                  & setIn(X20,alive) )
                               => ~ ( host(X5) = host(X17)
                                    & setIn(X17,alive) ) ) ) ) ) ) ) ) ) ) ),
    inference(assume_negation,[status(cth)],[conj]) ).

fof(c_0_8,plain,
    ! [X6,X5,X12] :
      ( epred1_3(X12,X5,X6)
    <=> ( queue(host(X5)) = cons(m_Down(X6),X12)
        & ! [X7,X16,X15,X14] :
            ( ( host(X15) = s(index(pendack,host(X14)))
              & host(X16) = index(pendack,host(X14))
              & index(status,host(X14)) = elec_2
              & leq(nbr_proc,s(index(pendack,host(X14))))
              & elem(m_Ack(X14,X16),queue(host(X14)))
              & elem(m_Down(X15),queue(host(X14)))
              & setIn(X14,alive) )
           => ~ ( index(status,host(X7)) = norm
                & index(ldr,host(X7)) = host(X7)
                & setIn(X7,alive) ) )
        & ! [X7,X16,X15,X14] :
            ( ( index(status,host(X14)) = elec_1
              & host(X14) = host(X16)
              & host(X14) = nbr_proc
              & elem(m_Down(X15),queue(host(X14)))
              & ! [X17] :
                  ( ( leq(s(zero),X17)
                    & ~ leq(host(X14),X17) )
                 => ( X17 = host(X15)
                    | setIn(X17,index(down,host(X14))) ) ) )
           => ~ ( elem(m_Down(X16),queue(host(X7)))
                & setIn(X7,alive) ) )
        & ! [X7,X15,X14] :
            ( ( index(status,host(X14)) = elec_2
              & elem(m_Halt(X14),queue(host(X15)))
              & setIn(X14,alive)
              & ~ leq(index(pendack,host(X14)),host(X7)) )
           => ~ ( index(status,host(X7)) = norm
                & index(ldr,host(X7)) = host(X7)
                & setIn(X7,alive) ) )
        & ! [X7,X14] :
            ( ( index(status,host(X14)) = elec_2
              & index(status,host(X7)) = elec_2
              & setIn(X14,alive)
              & setIn(X7,alive)
              & ~ leq(host(X7),host(X14)) )
           => ~ leq(index(pendack,host(X7)),index(pendack,host(X14))) )
        & ! [X7,X15,X14] :
            ( ( index(status,host(X14)) = elec_2
              & index(status,host(X7)) = elec_2
              & host(X14) = host(X15)
              & setIn(X14,alive)
              & setIn(X7,alive) )
           => ~ elem(m_Ack(X7,X15),queue(host(X7))) )
        & ! [X7,X14] :
            ( ( index(status,host(X14)) = elec_2
              & index(status,host(X7)) = elec_2
              & setIn(X14,alive)
              & setIn(X7,alive)
              & ~ leq(host(X7),host(X14)) )
           => leq(index(pendack,host(X14)),host(X7)) )
        & ! [X7,X15,X14] :
            ( ( host(X15) = host(X7)
              & elem(m_Down(X15),queue(host(X14)))
              & setIn(X14,alive) )
           => ~ ( index(status,host(X7)) = norm
                & index(ldr,host(X7)) = host(X7)
                & setIn(X7,alive) ) )
        & ! [X7] :
            ( ( setIn(X7,alive)
              & ( index(status,host(X7)) = elec_2
                | index(status,host(X7)) = elec_1 ) )
           => index(elid,host(X7)) = X7 )
        & ! [X7,X14] :
            ( ( index(status,host(X14)) = elec_1
              & setIn(X14,alive) )
           => ~ elem(m_Ack(X14,X7),queue(host(X14))) )
        & ! [X7,X14] :
            ( ( elem(m_Ack(X14,X7),queue(host(X14)))
              & setIn(X14,alive) )
           => leq(host(X7),index(pendack,host(X14))) )
        & ! [X7,X14] :
            ( ( host(X14) = host(X7)
              & X14 != X7 )
           => ( ~ setIn(X14,alive)
              | ~ setIn(X7,alive) ) )
        & ! [X7,X15,X14] :
            ( elem(m_Ack(X14,X7),queue(host(X15)))
           => ~ leq(host(X7),host(X14)) )
        & ! [X7,X14] :
            ( elem(m_Halt(X14),queue(host(X7)))
           => ~ leq(host(X7),host(X14)) )
        & ! [X7,X14] :
            ( elem(m_Down(X14),queue(host(X7)))
           => host(X14) != host(X7) )
        & ! [X7,X14] :
            ( elem(m_Ldr(X14),queue(host(X7)))
           => ~ leq(host(X7),host(X14)) ) ) ),
    introduced(definition) ).

fof(c_0_9,negated_conjecture,
    ~ ! [X12,X13,X5,X6] :
        ( epred1_3(X12,X5,X6)
       => ( setIn(X5,alive)
         => ( leq(host(X5),host(X6))
           => ( ( host(X6) = index(pendack,host(X5))
                & index(status,host(X5)) = elec_2 )
             => ( leq(nbr_proc,index(pendack,host(X5)))
               => ! [X7] :
                    ( setIn(host(X7),index(acks,host(X5)))
                   => ! [X17] :
                        ( host(X5) = host(X17)
                       => ! [X18,X19,X20] :
                            ( host(X7) = host(X20)
                           => ( host(X5) != host(X20)
                             => ( ( host(X19) = s(index(pendack,host(X20)))
                                  & host(X18) = index(pendack,host(X20))
                                  & index(status,host(X20)) = elec_2
                                  & elem(m_Ack(X20,X18),snoc(queue(host(X20)),m_Ldr(X5)))
                                  & elem(m_Down(X19),snoc(queue(host(X20)),m_Ldr(X5)))
                                  & leq(nbr_proc,s(index(pendack,host(X20))))
                                  & setIn(X20,alive) )
                               => ~ ( host(X5) = host(X17)
                                    & setIn(X17,alive) ) ) ) ) ) ) ) ) ) ) ),
    inference(apply_def,[status(thm)],[inference(fof_simplification,[status(thm)],[c_0_7]),c_0_8]) ).

fof(c_0_10,negated_conjecture,
    ( host(esk6_0) = host(esk9_0)
    & setIn(esk9_0,alive)
    & host(esk11_0) = s(index(pendack,host(esk12_0)))
    & host(esk10_0) = index(pendack,host(esk12_0))
    & index(status,host(esk12_0)) = elec_2
    & elem(m_Ack(esk12_0,esk10_0),snoc(queue(host(esk12_0)),m_Ldr(esk6_0)))
    & elem(m_Down(esk11_0),snoc(queue(host(esk12_0)),m_Ldr(esk6_0)))
    & leq(nbr_proc,s(index(pendack,host(esk12_0))))
    & setIn(esk12_0,alive)
    & host(esk6_0) != host(esk12_0)
    & host(esk8_0) = host(esk12_0)
    & host(esk6_0) = host(esk9_0)
    & setIn(host(esk8_0),index(acks,host(esk6_0)))
    & leq(nbr_proc,index(pendack,host(esk6_0)))
    & host(esk7_0) = index(pendack,host(esk6_0))
    & index(status,host(esk6_0)) = elec_2
    & leq(host(esk6_0),host(esk7_0))
    & setIn(esk6_0,alive)
    & epred1_3(esk5_0,esk6_0,esk7_0) ),
    inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[c_0_9])])])])]) ).

fof(c_0_11,plain,
    ! [X6,X5,X12] :
      ( epred1_3(X12,X5,X6)
     => ( queue(host(X5)) = cons(m_Down(X6),X12)
        & ! [X7,X16,X15,X14] :
            ( ( host(X15) = s(index(pendack,host(X14)))
              & host(X16) = index(pendack,host(X14))
              & index(status,host(X14)) = elec_2
              & leq(nbr_proc,s(index(pendack,host(X14))))
              & elem(m_Ack(X14,X16),queue(host(X14)))
              & elem(m_Down(X15),queue(host(X14)))
              & setIn(X14,alive) )
           => ~ ( index(status,host(X7)) = norm
                & index(ldr,host(X7)) = host(X7)
                & setIn(X7,alive) ) )
        & ! [X7,X16,X15,X14] :
            ( ( index(status,host(X14)) = elec_1
              & host(X14) = host(X16)
              & host(X14) = nbr_proc
              & elem(m_Down(X15),queue(host(X14)))
              & ! [X17] :
                  ( ( leq(s(zero),X17)
                    & ~ leq(host(X14),X17) )
                 => ( X17 = host(X15)
                    | setIn(X17,index(down,host(X14))) ) ) )
           => ~ ( elem(m_Down(X16),queue(host(X7)))
                & setIn(X7,alive) ) )
        & ! [X7,X15,X14] :
            ( ( index(status,host(X14)) = elec_2
              & elem(m_Halt(X14),queue(host(X15)))
              & setIn(X14,alive)
              & ~ leq(index(pendack,host(X14)),host(X7)) )
           => ~ ( index(status,host(X7)) = norm
                & index(ldr,host(X7)) = host(X7)
                & setIn(X7,alive) ) )
        & ! [X7,X14] :
            ( ( index(status,host(X14)) = elec_2
              & index(status,host(X7)) = elec_2
              & setIn(X14,alive)
              & setIn(X7,alive)
              & ~ leq(host(X7),host(X14)) )
           => ~ leq(index(pendack,host(X7)),index(pendack,host(X14))) )
        & ! [X7,X15,X14] :
            ( ( index(status,host(X14)) = elec_2
              & index(status,host(X7)) = elec_2
              & host(X14) = host(X15)
              & setIn(X14,alive)
              & setIn(X7,alive) )
           => ~ elem(m_Ack(X7,X15),queue(host(X7))) )
        & ! [X7,X14] :
            ( ( index(status,host(X14)) = elec_2
              & index(status,host(X7)) = elec_2
              & setIn(X14,alive)
              & setIn(X7,alive)
              & ~ leq(host(X7),host(X14)) )
           => leq(index(pendack,host(X14)),host(X7)) )
        & ! [X7,X15,X14] :
            ( ( host(X15) = host(X7)
              & elem(m_Down(X15),queue(host(X14)))
              & setIn(X14,alive) )
           => ~ ( index(status,host(X7)) = norm
                & index(ldr,host(X7)) = host(X7)
                & setIn(X7,alive) ) )
        & ! [X7] :
            ( ( setIn(X7,alive)
              & ( index(status,host(X7)) = elec_2
                | index(status,host(X7)) = elec_1 ) )
           => index(elid,host(X7)) = X7 )
        & ! [X7,X14] :
            ( ( index(status,host(X14)) = elec_1
              & setIn(X14,alive) )
           => ~ elem(m_Ack(X14,X7),queue(host(X14))) )
        & ! [X7,X14] :
            ( ( elem(m_Ack(X14,X7),queue(host(X14)))
              & setIn(X14,alive) )
           => leq(host(X7),index(pendack,host(X14))) )
        & ! [X7,X14] :
            ( ( host(X14) = host(X7)
              & X14 != X7 )
           => ( ~ setIn(X14,alive)
              | ~ setIn(X7,alive) ) )
        & ! [X7,X15,X14] :
            ( elem(m_Ack(X14,X7),queue(host(X15)))
           => ~ leq(host(X7),host(X14)) )
        & ! [X7,X14] :
            ( elem(m_Halt(X14),queue(host(X7)))
           => ~ leq(host(X7),host(X14)) )
        & ! [X7,X14] :
            ( elem(m_Down(X14),queue(host(X7)))
           => host(X14) != host(X7) )
        & ! [X7,X14] :
            ( elem(m_Ldr(X14),queue(host(X7)))
           => ~ leq(host(X7),host(X14)) ) ) ),
    inference(split_equiv,[status(thm)],[c_0_8]) ).

fof(c_0_12,plain,
    ! [X140,X141] :
      ( ( X140 != X141
        | leq(X141,X140) )
      & ( X140 != X141
        | leq(X140,X141) )
      & ( X140 = X141
        | ~ leq(X141,X140)
        | ~ leq(X140,X141) ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_61])])])]) ).

cnf(c_0_13,negated_conjecture,
    leq(nbr_proc,index(pendack,host(esk6_0))),
    inference(split_conjunct,[status(thm)],[c_0_10]) ).

cnf(c_0_14,negated_conjecture,
    host(esk7_0) = index(pendack,host(esk6_0)),
    inference(split_conjunct,[status(thm)],[c_0_10]) ).

fof(c_0_15,plain,
    ! [X26] : leq(host(X26),nbr_proc),
    inference(variable_rename,[status(thm)],[axiom_04]) ).

fof(c_0_16,plain,
    ! [X158,X159,X160,X161,X162,X163,X164,X165,X166,X167,X168,X169,X170,X171,X172,X173,X174,X175,X176,X177,X178,X179,X180,X181,X182,X183,X184,X185,X186,X187,X188,X189,X190,X191,X192,X193,X195,X196,X197,X198] :
      ( ( ~ epred1_3(X160,X159,X158)
        | queue(host(X159)) = cons(m_Down(X158),X160) )
      & ( ~ epred1_3(X160,X159,X158)
        | index(status,host(X198)) != norm
        | index(ldr,host(X198)) != host(X198)
        | ~ setIn(X198,alive)
        | host(X196) != s(index(pendack,host(X197)))
        | host(X195) != index(pendack,host(X197))
        | index(status,host(X197)) != elec_2
        | ~ leq(nbr_proc,s(index(pendack,host(X197))))
        | ~ elem(m_Ack(X197,X195),queue(host(X197)))
        | ~ elem(m_Down(X196),queue(host(X197)))
        | ~ setIn(X197,alive) )
      & ( ~ epred1_3(X160,X159,X158)
        | ~ elem(m_Down(X191),queue(host(X190)))
        | ~ setIn(X190,alive)
        | index(status,host(X193)) != elec_1
        | host(X193) != host(X191)
        | host(X193) != nbr_proc
        | ~ elem(m_Down(X192),queue(host(X193)))
        | esk13_7(X158,X159,X160,X190,X191,X192,X193) != host(X192) )
      & ( ~ epred1_3(X160,X159,X158)
        | ~ elem(m_Down(X191),queue(host(X190)))
        | ~ setIn(X190,alive)
        | index(status,host(X193)) != elec_1
        | host(X193) != host(X191)
        | host(X193) != nbr_proc
        | ~ elem(m_Down(X192),queue(host(X193)))
        | ~ setIn(esk13_7(X158,X159,X160,X190,X191,X192,X193),index(down,host(X193))) )
      & ( ~ epred1_3(X160,X159,X158)
        | ~ elem(m_Down(X191),queue(host(X190)))
        | ~ setIn(X190,alive)
        | index(status,host(X193)) != elec_1
        | host(X193) != host(X191)
        | host(X193) != nbr_proc
        | ~ elem(m_Down(X192),queue(host(X193)))
        | leq(s(zero),esk13_7(X158,X159,X160,X190,X191,X192,X193)) )
      & ( ~ epred1_3(X160,X159,X158)
        | ~ elem(m_Down(X191),queue(host(X190)))
        | ~ setIn(X190,alive)
        | index(status,host(X193)) != elec_1
        | host(X193) != host(X191)
        | host(X193) != nbr_proc
        | ~ elem(m_Down(X192),queue(host(X193)))
        | ~ leq(host(X193),esk13_7(X158,X159,X160,X190,X191,X192,X193)) )
      & ( ~ epred1_3(X160,X159,X158)
        | index(status,host(X187)) != norm
        | index(ldr,host(X187)) != host(X187)
        | ~ setIn(X187,alive)
        | index(status,host(X189)) != elec_2
        | ~ elem(m_Halt(X189),queue(host(X188)))
        | ~ setIn(X189,alive)
        | leq(index(pendack,host(X189)),host(X187)) )
      & ( ~ epred1_3(X160,X159,X158)
        | ~ leq(index(pendack,host(X185)),index(pendack,host(X186)))
        | index(status,host(X186)) != elec_2
        | index(status,host(X185)) != elec_2
        | ~ setIn(X186,alive)
        | ~ setIn(X185,alive)
        | leq(host(X185),host(X186)) )
      & ( ~ epred1_3(X160,X159,X158)
        | ~ elem(m_Ack(X182,X183),queue(host(X182)))
        | index(status,host(X184)) != elec_2
        | index(status,host(X182)) != elec_2
        | host(X184) != host(X183)
        | ~ setIn(X184,alive)
        | ~ setIn(X182,alive) )
      & ( ~ epred1_3(X160,X159,X158)
        | leq(index(pendack,host(X181)),host(X180))
        | index(status,host(X181)) != elec_2
        | index(status,host(X180)) != elec_2
        | ~ setIn(X181,alive)
        | ~ setIn(X180,alive)
        | leq(host(X180),host(X181)) )
      & ( ~ epred1_3(X160,X159,X158)
        | index(status,host(X177)) != norm
        | index(ldr,host(X177)) != host(X177)
        | ~ setIn(X177,alive)
        | host(X178) != host(X177)
        | ~ elem(m_Down(X178),queue(host(X179)))
        | ~ setIn(X179,alive) )
      & ( ~ epred1_3(X160,X159,X158)
        | index(elid,host(X176)) = X176
        | ~ setIn(X176,alive)
        | index(status,host(X176)) != elec_2 )
      & ( ~ epred1_3(X160,X159,X158)
        | index(elid,host(X176)) = X176
        | ~ setIn(X176,alive)
        | index(status,host(X176)) != elec_1 )
      & ( ~ epred1_3(X160,X159,X158)
        | ~ elem(m_Ack(X175,X174),queue(host(X175)))
        | index(status,host(X175)) != elec_1
        | ~ setIn(X175,alive) )
      & ( ~ epred1_3(X160,X159,X158)
        | leq(host(X172),index(pendack,host(X173)))
        | ~ elem(m_Ack(X173,X172),queue(host(X173)))
        | ~ setIn(X173,alive) )
      & ( ~ epred1_3(X160,X159,X158)
        | ~ setIn(X171,alive)
        | ~ setIn(X170,alive)
        | host(X171) != host(X170)
        | X171 = X170 )
      & ( ~ epred1_3(X160,X159,X158)
        | ~ leq(host(X167),host(X169))
        | ~ elem(m_Ack(X169,X167),queue(host(X168))) )
      & ( ~ epred1_3(X160,X159,X158)
        | ~ leq(host(X165),host(X166))
        | ~ elem(m_Halt(X166),queue(host(X165))) )
      & ( ~ epred1_3(X160,X159,X158)
        | host(X164) != host(X163)
        | ~ elem(m_Down(X164),queue(host(X163))) )
      & ( ~ epred1_3(X160,X159,X158)
        | ~ leq(host(X161),host(X162))
        | ~ elem(m_Ldr(X162),queue(host(X161))) ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_11])])])])])])]) ).

cnf(c_0_17,plain,
    ( ~ leq(X2,X1)
    | ~ leq(X1,X2)
    | X1 = X2 ),
    inference(split_conjunct,[status(thm)],[c_0_12]) ).

cnf(c_0_18,negated_conjecture,
    leq(nbr_proc,host(esk7_0)),
    inference(rw,[status(thm)],[c_0_13,c_0_14]) ).

cnf(c_0_19,plain,
    leq(host(X1),nbr_proc),
    inference(split_conjunct,[status(thm)],[c_0_15]) ).

fof(c_0_20,plain,
    ( ~ epred3_0
  <=> ! [X3,X4,X5] : ~ epred1_3(X3,X4,X5) ),
    introduced(definition) ).

cnf(c_0_21,plain,
    ( ~ epred1_3(X3,X4,X5)
    | ~ leq(index(pendack,host(X1)),index(pendack,host(X2)))
    | index(status,host(X2)) != elec_2
    | index(status,host(X1)) != elec_2
    | ~ setIn(X2,alive)
    | ~ setIn(X1,alive)
    | leq(host(X1),host(X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_16]) ).

cnf(c_0_22,negated_conjecture,
    host(esk10_0) = index(pendack,host(esk12_0)),
    inference(split_conjunct,[status(thm)],[c_0_10]) ).

cnf(c_0_23,negated_conjecture,
    index(status,host(esk12_0)) = elec_2,
    inference(split_conjunct,[status(thm)],[c_0_10]) ).

cnf(c_0_24,negated_conjecture,
    setIn(esk12_0,alive),
    inference(split_conjunct,[status(thm)],[c_0_10]) ).

cnf(c_0_25,negated_conjecture,
    host(esk7_0) = nbr_proc,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_18]),c_0_19])]) ).

fof(c_0_26,plain,
    ( ~ epred8_0
  <=> ! [X1,X3,X2] :
        ( index(status,host(X2)) != elec_2
        | index(status,host(X1)) != elec_2
        | host(X2) != host(X3)
        | ~ setIn(X2,alive)
        | ~ setIn(X1,alive)
        | ~ elem(m_Ack(X1,X3),queue(host(X1))) ) ),
    introduced(definition) ).

cnf(c_0_27,plain,
    ( ~ epred1_3(X4,X5,X6)
    | ~ elem(m_Ack(X1,X3),queue(host(X1)))
    | index(status,host(X2)) != elec_2
    | index(status,host(X1)) != elec_2
    | host(X2) != host(X3)
    | ~ setIn(X2,alive)
    | ~ setIn(X1,alive) ),
    inference(split_conjunct,[status(thm)],[c_0_16]) ).

cnf(c_0_28,plain,
    ( ~ epred1_3(X1,X2,X3)
    | epred3_0 ),
    inference(split_equiv,[status(thm)],[c_0_20]) ).

cnf(c_0_29,negated_conjecture,
    epred1_3(esk5_0,esk6_0,esk7_0),
    inference(split_conjunct,[status(thm)],[c_0_10]) ).

fof(c_0_30,plain,
    ! [X5,X6,X7] : m_Ack(X5,X6) != m_Ldr(X7),
    inference(fof_simplification,[status(thm)],[axiom_14]) ).

cnf(c_0_31,negated_conjecture,
    ( ~ setIn(X1,alive)
    | ~ leq(host(esk10_0),index(pendack,host(X1)))
    | ~ epred1_3(X2,X3,X4)
    | index(status,host(X1)) != elec_2
    | leq(host(esk12_0),host(X1)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_22]),c_0_23]),c_0_24])]) ).

cnf(c_0_32,negated_conjecture,
    index(pendack,host(esk6_0)) = nbr_proc,
    inference(rw,[status(thm)],[c_0_14,c_0_25]) ).

cnf(c_0_33,negated_conjecture,
    index(status,host(esk6_0)) = elec_2,
    inference(split_conjunct,[status(thm)],[c_0_10]) ).

cnf(c_0_34,negated_conjecture,
    setIn(esk6_0,alive),
    inference(split_conjunct,[status(thm)],[c_0_10]) ).

cnf(c_0_35,plain,
    ( ~ epred3_0
    | ~ epred8_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_27,c_0_26]),c_0_20]) ).

cnf(c_0_36,negated_conjecture,
    epred3_0,
    inference(spm,[status(thm)],[c_0_28,c_0_29]) ).

fof(c_0_37,plain,
    ! [X104,X105,X106] :
      ( ( elem(X104,snoc(X106,X105))
        | ~ elem(X104,X106) )
      & ( elem(X104,snoc(X106,X105))
        | X104 != X105 )
      & ( elem(X104,X106)
        | X104 = X105
        | ~ elem(X104,snoc(X106,X105)) ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_47])])])]) ).

fof(c_0_38,plain,
    ! [X36,X37,X38] : m_Ack(X36,X37) != m_Ldr(X38),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[c_0_30])]) ).

cnf(c_0_39,negated_conjecture,
    host(esk11_0) = s(index(pendack,host(esk12_0))),
    inference(split_conjunct,[status(thm)],[c_0_10]) ).

cnf(c_0_40,plain,
    ( ~ epred1_3(X3,X4,X5)
    | index(status,host(X2)) != elec_2
    | index(status,host(X1)) != elec_2
    | ~ setIn(X2,alive)
    | ~ setIn(X1,alive)
    | leq(index(pendack,host(X2)),host(X1))
    | leq(host(X1),host(X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_16]) ).

cnf(c_0_41,negated_conjecture,
    ( ~ epred1_3(X1,X2,X3)
    | leq(host(esk12_0),host(esk6_0)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_32]),c_0_33]),c_0_19]),c_0_34])]) ).

cnf(c_0_42,plain,
    ~ epred8_0,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_35,c_0_36])]) ).

cnf(c_0_43,plain,
    ( ~ elem(X1,snoc(X2,X3))
    | elem(X1,X2)
    | X1 = X3 ),
    inference(split_conjunct,[status(thm)],[c_0_37]) ).

cnf(c_0_44,negated_conjecture,
    elem(m_Ack(esk12_0,esk10_0),snoc(queue(host(esk12_0)),m_Ldr(esk6_0))),
    inference(split_conjunct,[status(thm)],[c_0_10]) ).

cnf(c_0_45,plain,
    m_Ack(X1,X2) != m_Ldr(X3),
    inference(split_conjunct,[status(thm)],[c_0_38]) ).

cnf(c_0_46,negated_conjecture,
    leq(nbr_proc,s(index(pendack,host(esk12_0)))),
    inference(split_conjunct,[status(thm)],[c_0_10]) ).

cnf(c_0_47,negated_conjecture,
    s(host(esk10_0)) = host(esk11_0),
    inference(rw,[status(thm)],[c_0_39,c_0_22]) ).

fof(c_0_48,plain,
    ( ~ epred2_0
  <=> ! [X1,X2] :
        ( host(X1) != host(X2)
        | ~ elem(m_Down(X1),queue(host(X2))) ) ),
    introduced(definition) ).

cnf(c_0_49,plain,
    ( ~ epred1_3(X3,X4,X5)
    | host(X1) != host(X2)
    | ~ elem(m_Down(X1),queue(host(X2))) ),
    inference(split_conjunct,[status(thm)],[c_0_16]) ).

fof(c_0_50,plain,
    ! [X101,X102,X103] :
      ( ( elem(X101,cons(X102,X103))
        | ~ elem(X101,X103) )
      & ( elem(X101,cons(X102,X103))
        | X101 != X102 )
      & ( elem(X101,X103)
        | X101 = X102
        | ~ elem(X101,cons(X102,X103)) ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_46])])])]) ).

cnf(c_0_51,negated_conjecture,
    ( ~ setIn(X2,alive)
    | ~ setIn(X1,alive)
    | index(status,host(X2)) != elec_2
    | index(status,host(X1)) != elec_2
    | leq(host(X2),host(X1))
    | leq(index(pendack,host(X1)),host(X2)) ),
    inference(spm,[status(thm)],[c_0_40,c_0_29]) ).

cnf(c_0_52,negated_conjecture,
    leq(host(esk12_0),host(esk6_0)),
    inference(spm,[status(thm)],[c_0_41,c_0_29]) ).

cnf(c_0_53,negated_conjecture,
    host(esk6_0) != host(esk12_0),
    inference(split_conjunct,[status(thm)],[c_0_10]) ).

cnf(c_0_54,plain,
    ( ~ elem(m_Ack(X1,X3),queue(host(X1)))
    | ~ setIn(X2,alive)
    | ~ setIn(X1,alive)
    | host(X2) != host(X3)
    | index(status,host(X2)) != elec_2
    | index(status,host(X1)) != elec_2 ),
    inference(sr,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_26]),c_0_42]) ).

cnf(c_0_55,negated_conjecture,
    elem(m_Ack(esk12_0,esk10_0),queue(host(esk12_0))),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_44]),c_0_45]) ).

cnf(c_0_56,negated_conjecture,
    leq(nbr_proc,host(esk11_0)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_46,c_0_22]),c_0_47]) ).

cnf(c_0_57,plain,
    ( ~ epred2_0
    | ~ epred3_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_49,c_0_48]),c_0_20]) ).

cnf(c_0_58,plain,
    ( X1 != X2
    | elem(X1,cons(X2,X3)) ),
    inference(split_conjunct,[status(thm)],[c_0_50]) ).

cnf(c_0_59,plain,
    ( ~ epred1_3(X3,X1,X2)
    | queue(host(X1)) = cons(m_Down(X2),X3) ),
    inference(split_conjunct,[status(thm)],[c_0_16]) ).

cnf(c_0_60,negated_conjecture,
    ( ~ setIn(X1,alive)
    | index(status,host(X1)) != elec_2
    | leq(host(esk10_0),host(X1))
    | leq(host(X1),host(esk12_0)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_22]),c_0_23]),c_0_24])]) ).

cnf(c_0_61,negated_conjecture,
    ~ leq(host(esk6_0),host(esk12_0)),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_52]),c_0_53]) ).

cnf(c_0_62,negated_conjecture,
    ( ~ setIn(X1,alive)
    | host(X1) != host(esk10_0)
    | index(status,host(X1)) != elec_2 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_55]),c_0_23]),c_0_24])]) ).

fof(c_0_63,plain,
    ! [X147,X148] :
      ( ( leq(X147,s(X148))
        | ~ leq(X147,X148) )
      & ( leq(X147,s(X148))
        | X147 != s(X148) )
      & ( leq(X147,X148)
        | X147 = s(X148)
        | ~ leq(X147,s(X148)) ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_64])])])]) ).

cnf(c_0_64,negated_conjecture,
    host(esk11_0) = nbr_proc,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_56]),c_0_19])]) ).

cnf(c_0_65,plain,
    ~ epred2_0,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_57,c_0_36])]) ).

cnf(c_0_66,plain,
    elem(X1,cons(X1,X2)),
    inference(er,[status(thm)],[c_0_58]) ).

cnf(c_0_67,negated_conjecture,
    cons(m_Down(esk7_0),esk5_0) = queue(host(esk6_0)),
    inference(spm,[status(thm)],[c_0_59,c_0_29]) ).

cnf(c_0_68,negated_conjecture,
    leq(host(esk10_0),host(esk6_0)),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_34]),c_0_33])]),c_0_61]) ).

cnf(c_0_69,negated_conjecture,
    host(esk10_0) != host(esk6_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_34]),c_0_33])]) ).

cnf(c_0_70,plain,
    ( ~ leq(X1,s(X2))
    | leq(X1,X2)
    | X1 = s(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_63]) ).

cnf(c_0_71,negated_conjecture,
    s(host(esk10_0)) = nbr_proc,
    inference(rw,[status(thm)],[c_0_47,c_0_64]) ).

cnf(c_0_72,plain,
    ( ~ elem(m_Down(X1),queue(host(X2)))
    | host(X1) != host(X2) ),
    inference(sr,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_48]),c_0_65]) ).

cnf(c_0_73,negated_conjecture,
    elem(m_Down(esk7_0),queue(host(esk6_0))),
    inference(spm,[status(thm)],[c_0_66,c_0_67]) ).

cnf(c_0_74,negated_conjecture,
    ~ leq(host(esk6_0),host(esk10_0)),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_68]),c_0_69]) ).

cnf(c_0_75,negated_conjecture,
    ( ~ leq(X1,nbr_proc)
    | leq(X1,host(esk10_0))
    | X1 = nbr_proc ),
    inference(spm,[status(thm)],[c_0_70,c_0_71]) ).

cnf(c_0_76,plain,
    host(esk6_0) != nbr_proc,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_72,c_0_73]),c_0_25]) ).

cnf(c_0_77,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_74,c_0_75]),c_0_19])]),c_0_76]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SWV466+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05  % Command  : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.13/0.37  % Computer : n018.cluster.edu
% 0.13/0.37  % Model    : x86_64 x86_64
% 0.13/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.37  % Memory   : 8046.5625MB
% 0.13/0.37  % OS       : Linux 6.8.0-71-generic
% 0.13/0.37  % CPULimit : 300
% 0.13/0.37  % WCLimit  : 300
% 0.13/0.37  % DateTime : Mon Sep 21 08:54:43 UTC 2026
% 0.13/0.37  % CPUTime  : 
% 0.13/0.38  Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.15/0.41  Running first-order theorem proving
% 0.15/0.41  Running: /export/starexec/sandbox/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 11.64/1.90  % Version: 3.5.1
% 11.64/1.90  % Preprocessing class: FSLSSMSMSSSNFFN.
% 11.64/1.90  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 11.64/1.90  % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 11.64/1.90  % Starting new_bool_3 with 300s (1) cores
% 11.64/1.90  % Starting new_bool_1 with 300s (1) cores
% 11.64/1.90  % Starting sh5l with 300s (1) cores
% 11.64/1.90  % C07_19_nc_SOS_SAT001_MinMin_p005000_rr with pid 1510296 completed with status 0
% 11.64/1.90  % Result found by C07_19_nc_SOS_SAT001_MinMin_p005000_rr
% 11.64/1.90  % Preprocessing class: FSLSSMSMSSSNFFN.
% 11.64/1.90  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 11.64/1.90  % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 11.64/1.90  % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 11.64/1.90  % No SInE strategy applied
% 11.64/1.90  % Search class: FGHSM-FFMM31-MFFFFFNN
% 11.64/1.90  % Scheduled 13 strats onto 5 cores with 1500 seconds (1500 total)
% 11.64/1.90  % Starting SubtermCWHack with 136s (1) cores
% 11.64/1.90  % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 151s (1) cores
% 11.64/1.90  % Starting G-E--_208_C12_02_nc_F1_SE_CS_SP_PS_S5PRR_RG_S070I with 113s (1) cores
% 11.64/1.90  % Starting G-N--_023_B07_F1_SP_PI_Q7_CS_SE_S0Y with 113s (1) cores
% 11.64/1.90  % Starting G-E--_103_C18_F1_PI_AE_Q4_CS_SP_S0Y with 113s (1) cores
% 11.64/1.90  % G-E--_103_C18_F1_PI_AE_Q4_CS_SP_S0Y with pid 1510307 completed with status 0
% 11.64/1.90  % Result found by G-E--_103_C18_F1_PI_AE_Q4_CS_SP_S0Y
% 11.64/1.90  % Preprocessing class: FSLSSMSMSSSNFFN.
% 11.64/1.90  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 11.64/1.90  % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 11.64/1.90  % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 11.64/1.90  % No SInE strategy applied
% 11.64/1.90  % Search class: FGHSM-FFMM31-MFFFFFNN
% 11.64/1.90  % Scheduled 13 strats onto 5 cores with 1500 seconds (1500 total)
% 11.64/1.90  % Starting SubtermCWHack with 136s (1) cores
% 11.64/1.90  % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 151s (1) cores
% 11.64/1.90  % Starting G-E--_208_C12_02_nc_F1_SE_CS_SP_PS_S5PRR_RG_S070I with 113s (1) cores
% 11.64/1.90  % Starting G-N--_023_B07_F1_SP_PI_Q7_CS_SE_S0Y with 113s (1) cores
% 11.64/1.90  % Starting G-E--_103_C18_F1_PI_AE_Q4_CS_SP_S0Y with 113s (1) cores
% 11.64/1.90  % Preprocessing time       : 0.003 s
% 11.64/1.90  
% 11.64/1.90  % Proof found!
% 11.64/1.90  % SZS status Theorem
% 11.64/1.90  % SZS output start CNFRefutation
% See solution above
% 11.64/1.90  % Parsed axioms                        : 67
% 11.64/1.90  % Removed by relevancy pruning/SinE    : 0
% 11.64/1.90  % Initial clauses                      : 135
% 11.64/1.90  % Removed in clause preprocessing      : 6
% 11.64/1.90  % Initial clauses in saturation        : 129
% 11.64/1.90  % Processed clauses                    : 7130
% 11.64/1.90  % ...of these trivial                  : 147
% 11.64/1.90  % ...subsumed                          : 5345
% 11.64/1.90  % ...remaining for further processing  : 1638
% 11.64/1.90  % Other redundant clauses eliminated   : 10
% 11.64/1.90  % Clauses deleted for lack of memory   : 0
% 11.64/1.90  % Backward-subsumed                    : 64
% 11.64/1.90  % Backward-rewritten                   : 31
% 11.64/1.90  % Generated clauses                    : 68745
% 11.64/1.90  % ...of the previous two non-redundant : 61700
% 11.64/1.90  % ...aggressively subsumed             : 0
% 11.64/1.90  % Contextual simplify-reflections      : 29
% 11.64/1.90  % Paramodulations                      : 68459
% 11.64/1.90  % Factorizations                       : 20
% 11.64/1.90  % NegExts                              : 0
% 11.64/1.90  % Equation resolutions                 : 248
% 11.64/1.90  % Disequality decompositions           : 0
% 11.64/1.90  % Total rewrite steps                  : 16109
% 11.64/1.90  % ...of those cached                   : 15691
% 11.64/1.90  % Propositional unsat checks           : 0
% 11.64/1.90  %    Propositional check models        : 0
% 11.64/1.90  %    Propositional check unsatisfiable : 0
% 11.64/1.90  %    Propositional clauses             : 0
% 11.64/1.90  %    Propositional clauses after purity: 0
% 11.64/1.90  %    Propositional unsat core size     : 0
% 11.64/1.90  %    Propositional preprocessing time  : 0.000
% 11.64/1.90  %    Propositional encoding time       : 0.000
% 11.64/1.90  %    Propositional solver time         : 0.000
% 11.64/1.90  %    Success case prop preproc time    : 0.000
% 11.64/1.90  %    Success case prop encoding time   : 0.000
% 11.64/1.90  %    Success case prop solver time     : 0.000
% 11.64/1.90  % Current number of processed clauses  : 1531
% 11.64/1.90  %    Positive orientable unit clauses  : 87
% 11.64/1.90  %    Positive unorientable unit clauses: 0
% 11.64/1.90  %    Negative unit clauses             : 138
% 11.64/1.90  %    Non-unit-clauses                  : 1306
% 11.64/1.90  % Current number of unprocessed clauses: 54372
% 11.64/1.90  % ...number of literals in the above   : 225258
% 11.64/1.90  % Current number of archived formulas  : 0
% 11.64/1.90  % Current number of archived clauses   : 95
% 11.64/1.90  % Clause-clause subsumption calls (NU) : 1261650
% 11.64/1.90  % Rec. Clause-clause subsumption calls : 395551
% 11.64/1.90  % Non-unit clause-clause subsumptions  : 2570
% 11.64/1.90  % Unit Clause-clause subsumption calls : 27748
% 11.64/1.90  % Rewrite failures with RHS unbound    : 0
% 11.64/1.90  % BW rewrite match attempts            : 93
% 11.64/1.90  % BW rewrite match successes           : 15
% 11.64/1.90  % Condensation attempts                : 0
% 11.64/1.90  % Condensation successes               : 0
% 11.64/1.90  % Termbank termtop insertions          : 960534
% 11.64/1.90  % Search garbage collected termcells   : 2043
% 11.64/1.90  
% 11.64/1.90  % -------------------------------------------------
% 11.64/1.90  % User time                : 1.379 s
% 11.64/1.90  % System time              : 0.056 s
% 11.64/1.90  % Total time               : 1.435 s
% 11.64/1.90  % Maximum resident set size: 4248 pages
% 11.64/1.90  
% 11.64/1.90  % -------------------------------------------------
% 11.64/1.90  % User time                : 6.923 s
% 11.64/1.90  % System time              : 0.287 s
% 11.64/1.90  % Total time               : 7.209 s
% 11.64/1.90  % Maximum resident set size: 4608 pages
% 11.64/1.90  % E exiting
%------------------------------------------------------------------------------