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E---3.5.1.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : E---3.5.1
% Problem  : SWV461+1 : TPTP v9.3.1. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM

% Computer : n001.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 7.67s 1.57s
% Output   : CNFRefutation 7.67s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :   12
% Syntax   : Number of formulae    :   66 (  37 unt;   0 def)
%            Number of atoms       :  632 ( 261 equ)
%            Maximal formula atoms :  115 (   9 avg)
%            Number of connectives :  839 ( 273   ~; 169   |; 291   &)
%                                         (   6 <=>; 100  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   70 (   6 avg)
%            Maximal term depth    :    4 (   2 avg)
%            Number of predicates  :    9 (   7 usr;   4 prp; 0-2 aty)
%            Number of functors    :   29 (  29 usr;  19 con; 0-5 aty)
%            Number of variables   :  282 (   9 sgn 257   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(conj,conjecture,
    ! [X12,X13] :
      ( ( ! [X5,X6,X7,X14] :
            ( ( host(X7) = s(index(pendack,host(X14)))
              & host(X6) = index(pendack,host(X14))
              & index(status,host(X14)) = elec_2
              & leq(nbr_proc,s(index(pendack,host(X14))))
              & elem(m_Ack(X14,X6),queue(host(X14)))
              & elem(m_Down(X7),queue(host(X14)))
              & setIn(X14,alive) )
           => ~ ( index(status,host(X5)) = norm
                & index(ldr,host(X5)) = host(X5)
                & setIn(X5,alive) ) )
        & ! [X5,X6,X7,X14] :
            ( ( index(status,host(X14)) = elec_1
              & host(X14) = nbr_proc
              & host(X14) = host(X6)
              & elem(m_Down(X7),queue(host(X14)))
              & ! [X15] :
                  ( ( leq(s(zero),X15)
                    & ~ leq(host(X14),X15) )
                 => ( X15 = host(X7)
                    | setIn(X15,index(down,host(X14))) ) ) )
           => ~ ( elem(m_Down(X6),queue(host(X5)))
                & setIn(X5,alive) ) )
        & ! [X5,X6,X7] :
            ( ( index(status,host(X7)) = elec_2
              & elem(m_Halt(X7),queue(host(X6)))
              & setIn(X7,alive)
              & ~ leq(index(pendack,host(X7)),host(X5)) )
           => ~ ( index(status,host(X5)) = norm
                & index(ldr,host(X5)) = host(X5)
                & setIn(X5,alive) ) )
        & ! [X5,X6] :
            ( ( index(status,host(X6)) = elec_2
              & index(status,host(X5)) = elec_2
              & setIn(X6,alive)
              & setIn(X5,alive)
              & ~ leq(host(X5),host(X6)) )
           => ~ leq(index(pendack,host(X5)),index(pendack,host(X6))) )
        & ! [X5,X6] :
            ( ( index(status,host(X6)) = elec_2
              & index(status,host(X5)) = elec_2
              & setIn(X6,alive)
              & setIn(X5,alive)
              & ~ leq(host(X5),host(X6)) )
           => leq(index(pendack,host(X6)),host(X5)) )
        & ! [X5,X6,X7] :
            ( ( index(status,host(X7)) = elec_2
              & index(status,host(X5)) = elec_2
              & host(X7) = host(X6)
              & setIn(X7,alive)
              & setIn(X5,alive) )
           => ~ elem(m_Ack(X5,X6),queue(host(X5))) )
        & ! [X5,X6,X7] :
            ( ( host(X6) = host(X5)
              & elem(m_Down(X6),queue(host(X7)))
              & setIn(X7,alive) )
           => ~ ( index(status,host(X5)) = norm
                & index(ldr,host(X5)) = host(X5)
                & setIn(X5,alive) ) )
        & ! [X5] :
            ( ( setIn(X5,alive)
              & ( index(status,host(X5)) = elec_2
                | index(status,host(X5)) = elec_1 ) )
           => index(elid,host(X5)) = X5 )
        & ! [X5,X6] :
            ( ( index(status,host(X6)) = elec_1
              & setIn(X6,alive) )
           => ~ elem(m_Ack(X6,X5),queue(host(X6))) )
        & ! [X5,X6] :
            ( ( elem(m_Ack(X6,X5),queue(host(X6)))
              & setIn(X6,alive) )
           => leq(host(X5),index(pendack,host(X6))) )
        & ! [X5,X6] :
            ( ( host(X6) = host(X5)
              & X6 != X5 )
           => ( ~ setIn(X6,alive)
              | ~ setIn(X5,alive) ) )
        & ! [X5,X6,X7] :
            ( elem(m_Ack(X7,X5),queue(host(X6)))
           => ~ leq(host(X5),host(X7)) )
        & ! [X5,X6] :
            ( elem(m_Halt(X6),queue(host(X5)))
           => ~ leq(host(X5),host(X6)) )
        & ! [X5,X6] :
            ( elem(m_Down(X6),queue(host(X5)))
           => host(X6) != host(X5) )
        & ! [X5,X6] :
            ( elem(m_Ldr(X6),queue(host(X5)))
           => ~ leq(host(X5),host(X6)) )
        & ! [X5] :
            ( host(X13) = host(X5)
           => ~ setIn(X5,alive) ) )
     => ( queue(host(X13)) = q_nil
       => ( ( host(X13) = host(X12)
            & ~ setIn(X12,pids)
            & ! [X5] :
                ( host(X13) = host(X5)
               => leq(X5,X12) ) )
         => ( host(X12) = s(zero)
           => ( ~ leq(nbr_proc,host(X12))
             => ! [X5] :
                  ( host(X12) != host(X5)
                 => ! [X6,X7,X16] :
                      ( s(host(X12)) = host(X16)
                     => ( host(X12) != host(X16)
                       => ( ( host(X7) = s(index(pendack,host(X16)))
                            & host(X6) = index(pendack,host(X16))
                            & index(status,host(X16)) = elec_2
                            & elem(m_Ack(X16,X6),snoc(queue(host(X16)),m_Halt(X12)))
                            & elem(m_Down(X7),snoc(queue(host(X16)),m_Halt(X12)))
                            & leq(nbr_proc,s(index(pendack,host(X16))))
                            & ( X16 = X12
                              | setIn(X16,alive) ) )
                         => ~ ( index(status,host(X5)) = norm
                              & index(ldr,host(X5)) = host(X5)
                              & ( X5 = X12
                                | setIn(X5,alive) ) ) ) ) ) ) ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj) ).

fof(axiom_11,axiom,
    ! [X5,X6,X7] : m_Ack(X5,X6) != m_Halt(X7),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWV011+0.ax',axiom_11) ).

fof(axiom_47,axiom,
    ! [X5,X6,X4] :
      ( elem(X5,snoc(X4,X6))
    <=> ( elem(X5,X4)
        | X5 = X6 ) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWV011+0.ax',axiom_47) ).

fof(axiom_61,axiom,
    ! [X5,X6] :
      ( ( leq(X6,X5)
        & leq(X5,X6) )
    <=> X5 = X6 ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWV011+0.ax',axiom_61) ).

fof(axiom_04,axiom,
    ! [X3] : leq(host(X3),nbr_proc),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWV011+0.ax',axiom_04) ).

fof(axiom_17,axiom,
    ! [X5,X6] : m_Down(X5) != m_Halt(X6),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWV011+0.ax',axiom_17) ).

fof(axiom_59,axiom,
    ! [X5] : leq(X5,X5),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWV011+0.ax',axiom_59) ).

fof(axiom,axiom,
    ! [X1,X2] :
      ( elem(m_Ack(X1,X2),queue(host(X1)))
     => ( setIn(X2,pids)
        & setIn(X1,pids) ) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWV011+0.ax',axiom) ).

fof(c_0_8,negated_conjecture,
    ~ ! [X12,X13] :
        ( ( ! [X5,X6,X7,X14] :
              ( ( host(X7) = s(index(pendack,host(X14)))
                & host(X6) = index(pendack,host(X14))
                & index(status,host(X14)) = elec_2
                & leq(nbr_proc,s(index(pendack,host(X14))))
                & elem(m_Ack(X14,X6),queue(host(X14)))
                & elem(m_Down(X7),queue(host(X14)))
                & setIn(X14,alive) )
             => ~ ( index(status,host(X5)) = norm
                  & index(ldr,host(X5)) = host(X5)
                  & setIn(X5,alive) ) )
          & ! [X5,X6,X7,X14] :
              ( ( index(status,host(X14)) = elec_1
                & host(X14) = nbr_proc
                & host(X14) = host(X6)
                & elem(m_Down(X7),queue(host(X14)))
                & ! [X15] :
                    ( ( leq(s(zero),X15)
                      & ~ leq(host(X14),X15) )
                   => ( X15 = host(X7)
                      | setIn(X15,index(down,host(X14))) ) ) )
             => ~ ( elem(m_Down(X6),queue(host(X5)))
                  & setIn(X5,alive) ) )
          & ! [X5,X6,X7] :
              ( ( index(status,host(X7)) = elec_2
                & elem(m_Halt(X7),queue(host(X6)))
                & setIn(X7,alive)
                & ~ leq(index(pendack,host(X7)),host(X5)) )
             => ~ ( index(status,host(X5)) = norm
                  & index(ldr,host(X5)) = host(X5)
                  & setIn(X5,alive) ) )
          & ! [X5,X6] :
              ( ( index(status,host(X6)) = elec_2
                & index(status,host(X5)) = elec_2
                & setIn(X6,alive)
                & setIn(X5,alive)
                & ~ leq(host(X5),host(X6)) )
             => ~ leq(index(pendack,host(X5)),index(pendack,host(X6))) )
          & ! [X5,X6] :
              ( ( index(status,host(X6)) = elec_2
                & index(status,host(X5)) = elec_2
                & setIn(X6,alive)
                & setIn(X5,alive)
                & ~ leq(host(X5),host(X6)) )
             => leq(index(pendack,host(X6)),host(X5)) )
          & ! [X5,X6,X7] :
              ( ( index(status,host(X7)) = elec_2
                & index(status,host(X5)) = elec_2
                & host(X7) = host(X6)
                & setIn(X7,alive)
                & setIn(X5,alive) )
             => ~ elem(m_Ack(X5,X6),queue(host(X5))) )
          & ! [X5,X6,X7] :
              ( ( host(X6) = host(X5)
                & elem(m_Down(X6),queue(host(X7)))
                & setIn(X7,alive) )
             => ~ ( index(status,host(X5)) = norm
                  & index(ldr,host(X5)) = host(X5)
                  & setIn(X5,alive) ) )
          & ! [X5] :
              ( ( setIn(X5,alive)
                & ( index(status,host(X5)) = elec_2
                  | index(status,host(X5)) = elec_1 ) )
             => index(elid,host(X5)) = X5 )
          & ! [X5,X6] :
              ( ( index(status,host(X6)) = elec_1
                & setIn(X6,alive) )
             => ~ elem(m_Ack(X6,X5),queue(host(X6))) )
          & ! [X5,X6] :
              ( ( elem(m_Ack(X6,X5),queue(host(X6)))
                & setIn(X6,alive) )
             => leq(host(X5),index(pendack,host(X6))) )
          & ! [X5,X6] :
              ( ( host(X6) = host(X5)
                & X6 != X5 )
             => ( ~ setIn(X6,alive)
                | ~ setIn(X5,alive) ) )
          & ! [X5,X6,X7] :
              ( elem(m_Ack(X7,X5),queue(host(X6)))
             => ~ leq(host(X5),host(X7)) )
          & ! [X5,X6] :
              ( elem(m_Halt(X6),queue(host(X5)))
             => ~ leq(host(X5),host(X6)) )
          & ! [X5,X6] :
              ( elem(m_Down(X6),queue(host(X5)))
             => host(X6) != host(X5) )
          & ! [X5,X6] :
              ( elem(m_Ldr(X6),queue(host(X5)))
             => ~ leq(host(X5),host(X6)) )
          & ! [X5] :
              ( host(X13) = host(X5)
             => ~ setIn(X5,alive) ) )
       => ( queue(host(X13)) = q_nil
         => ( ( host(X13) = host(X12)
              & ~ setIn(X12,pids)
              & ! [X5] :
                  ( host(X13) = host(X5)
                 => leq(X5,X12) ) )
           => ( host(X12) = s(zero)
             => ( ~ leq(nbr_proc,host(X12))
               => ! [X5] :
                    ( host(X12) != host(X5)
                   => ! [X6,X7,X16] :
                        ( s(host(X12)) = host(X16)
                       => ( host(X12) != host(X16)
                         => ( ( host(X7) = s(index(pendack,host(X16)))
                              & host(X6) = index(pendack,host(X16))
                              & index(status,host(X16)) = elec_2
                              & elem(m_Ack(X16,X6),snoc(queue(host(X16)),m_Halt(X12)))
                              & elem(m_Down(X7),snoc(queue(host(X16)),m_Halt(X12)))
                              & leq(nbr_proc,s(index(pendack,host(X16))))
                              & ( X16 = X12
                                | setIn(X16,alive) ) )
                           => ~ ( index(status,host(X5)) = norm
                                & index(ldr,host(X5)) = host(X5)
                                & ( X5 = X12
                                  | setIn(X5,alive) ) ) ) ) ) ) ) ) ) ) ),
    inference(assume_negation,[status(cth)],[conj]) ).

fof(c_0_9,plain,
    ! [X13] :
      ( epred1_1(X13)
    <=> ( ! [X5,X6,X7,X14] :
            ( ( host(X7) = s(index(pendack,host(X14)))
              & host(X6) = index(pendack,host(X14))
              & index(status,host(X14)) = elec_2
              & leq(nbr_proc,s(index(pendack,host(X14))))
              & elem(m_Ack(X14,X6),queue(host(X14)))
              & elem(m_Down(X7),queue(host(X14)))
              & setIn(X14,alive) )
           => ~ ( index(status,host(X5)) = norm
                & index(ldr,host(X5)) = host(X5)
                & setIn(X5,alive) ) )
        & ! [X5,X6,X7,X14] :
            ( ( index(status,host(X14)) = elec_1
              & host(X14) = nbr_proc
              & host(X14) = host(X6)
              & elem(m_Down(X7),queue(host(X14)))
              & ! [X15] :
                  ( ( leq(s(zero),X15)
                    & ~ leq(host(X14),X15) )
                 => ( X15 = host(X7)
                    | setIn(X15,index(down,host(X14))) ) ) )
           => ~ ( elem(m_Down(X6),queue(host(X5)))
                & setIn(X5,alive) ) )
        & ! [X5,X6,X7] :
            ( ( index(status,host(X7)) = elec_2
              & elem(m_Halt(X7),queue(host(X6)))
              & setIn(X7,alive)
              & ~ leq(index(pendack,host(X7)),host(X5)) )
           => ~ ( index(status,host(X5)) = norm
                & index(ldr,host(X5)) = host(X5)
                & setIn(X5,alive) ) )
        & ! [X5,X6] :
            ( ( index(status,host(X6)) = elec_2
              & index(status,host(X5)) = elec_2
              & setIn(X6,alive)
              & setIn(X5,alive)
              & ~ leq(host(X5),host(X6)) )
           => ~ leq(index(pendack,host(X5)),index(pendack,host(X6))) )
        & ! [X5,X6] :
            ( ( index(status,host(X6)) = elec_2
              & index(status,host(X5)) = elec_2
              & setIn(X6,alive)
              & setIn(X5,alive)
              & ~ leq(host(X5),host(X6)) )
           => leq(index(pendack,host(X6)),host(X5)) )
        & ! [X5,X6,X7] :
            ( ( index(status,host(X7)) = elec_2
              & index(status,host(X5)) = elec_2
              & host(X7) = host(X6)
              & setIn(X7,alive)
              & setIn(X5,alive) )
           => ~ elem(m_Ack(X5,X6),queue(host(X5))) )
        & ! [X5,X6,X7] :
            ( ( host(X6) = host(X5)
              & elem(m_Down(X6),queue(host(X7)))
              & setIn(X7,alive) )
           => ~ ( index(status,host(X5)) = norm
                & index(ldr,host(X5)) = host(X5)
                & setIn(X5,alive) ) )
        & ! [X5] :
            ( ( setIn(X5,alive)
              & ( index(status,host(X5)) = elec_2
                | index(status,host(X5)) = elec_1 ) )
           => index(elid,host(X5)) = X5 )
        & ! [X5,X6] :
            ( ( index(status,host(X6)) = elec_1
              & setIn(X6,alive) )
           => ~ elem(m_Ack(X6,X5),queue(host(X6))) )
        & ! [X5,X6] :
            ( ( elem(m_Ack(X6,X5),queue(host(X6)))
              & setIn(X6,alive) )
           => leq(host(X5),index(pendack,host(X6))) )
        & ! [X5,X6] :
            ( ( host(X6) = host(X5)
              & X6 != X5 )
           => ( ~ setIn(X6,alive)
              | ~ setIn(X5,alive) ) )
        & ! [X5,X6,X7] :
            ( elem(m_Ack(X7,X5),queue(host(X6)))
           => ~ leq(host(X5),host(X7)) )
        & ! [X5,X6] :
            ( elem(m_Halt(X6),queue(host(X5)))
           => ~ leq(host(X5),host(X6)) )
        & ! [X5,X6] :
            ( elem(m_Down(X6),queue(host(X5)))
           => host(X6) != host(X5) )
        & ! [X5,X6] :
            ( elem(m_Ldr(X6),queue(host(X5)))
           => ~ leq(host(X5),host(X6)) )
        & ! [X5] :
            ( host(X13) = host(X5)
           => ~ setIn(X5,alive) ) ) ),
    introduced(definition) ).

fof(c_0_10,negated_conjecture,
    ~ ! [X12,X13] :
        ( epred1_1(X13)
       => ( queue(host(X13)) = q_nil
         => ( ( host(X13) = host(X12)
              & ~ setIn(X12,pids)
              & ! [X5] :
                  ( host(X13) = host(X5)
                 => leq(X5,X12) ) )
           => ( host(X12) = s(zero)
             => ( ~ leq(nbr_proc,host(X12))
               => ! [X5] :
                    ( host(X12) != host(X5)
                   => ! [X6,X7,X16] :
                        ( s(host(X12)) = host(X16)
                       => ( host(X12) != host(X16)
                         => ( ( host(X7) = s(index(pendack,host(X16)))
                              & host(X6) = index(pendack,host(X16))
                              & index(status,host(X16)) = elec_2
                              & elem(m_Ack(X16,X6),snoc(queue(host(X16)),m_Halt(X12)))
                              & elem(m_Down(X7),snoc(queue(host(X16)),m_Halt(X12)))
                              & leq(nbr_proc,s(index(pendack,host(X16))))
                              & ( X16 = X12
                                | setIn(X16,alive) ) )
                           => ~ ( index(status,host(X5)) = norm
                                & index(ldr,host(X5)) = host(X5)
                                & ( X5 = X12
                                  | setIn(X5,alive) ) ) ) ) ) ) ) ) ) ) ),
    inference(apply_def,[status(thm)],[inference(fof_simplification,[status(thm)],[c_0_8]),c_0_9]) ).

fof(c_0_11,plain,
    ! [X13] :
      ( epred1_1(X13)
     => ( ! [X5,X6,X7,X14] :
            ( ( host(X7) = s(index(pendack,host(X14)))
              & host(X6) = index(pendack,host(X14))
              & index(status,host(X14)) = elec_2
              & leq(nbr_proc,s(index(pendack,host(X14))))
              & elem(m_Ack(X14,X6),queue(host(X14)))
              & elem(m_Down(X7),queue(host(X14)))
              & setIn(X14,alive) )
           => ~ ( index(status,host(X5)) = norm
                & index(ldr,host(X5)) = host(X5)
                & setIn(X5,alive) ) )
        & ! [X5,X6,X7,X14] :
            ( ( index(status,host(X14)) = elec_1
              & host(X14) = nbr_proc
              & host(X14) = host(X6)
              & elem(m_Down(X7),queue(host(X14)))
              & ! [X15] :
                  ( ( leq(s(zero),X15)
                    & ~ leq(host(X14),X15) )
                 => ( X15 = host(X7)
                    | setIn(X15,index(down,host(X14))) ) ) )
           => ~ ( elem(m_Down(X6),queue(host(X5)))
                & setIn(X5,alive) ) )
        & ! [X5,X6,X7] :
            ( ( index(status,host(X7)) = elec_2
              & elem(m_Halt(X7),queue(host(X6)))
              & setIn(X7,alive)
              & ~ leq(index(pendack,host(X7)),host(X5)) )
           => ~ ( index(status,host(X5)) = norm
                & index(ldr,host(X5)) = host(X5)
                & setIn(X5,alive) ) )
        & ! [X5,X6] :
            ( ( index(status,host(X6)) = elec_2
              & index(status,host(X5)) = elec_2
              & setIn(X6,alive)
              & setIn(X5,alive)
              & ~ leq(host(X5),host(X6)) )
           => ~ leq(index(pendack,host(X5)),index(pendack,host(X6))) )
        & ! [X5,X6] :
            ( ( index(status,host(X6)) = elec_2
              & index(status,host(X5)) = elec_2
              & setIn(X6,alive)
              & setIn(X5,alive)
              & ~ leq(host(X5),host(X6)) )
           => leq(index(pendack,host(X6)),host(X5)) )
        & ! [X5,X6,X7] :
            ( ( index(status,host(X7)) = elec_2
              & index(status,host(X5)) = elec_2
              & host(X7) = host(X6)
              & setIn(X7,alive)
              & setIn(X5,alive) )
           => ~ elem(m_Ack(X5,X6),queue(host(X5))) )
        & ! [X5,X6,X7] :
            ( ( host(X6) = host(X5)
              & elem(m_Down(X6),queue(host(X7)))
              & setIn(X7,alive) )
           => ~ ( index(status,host(X5)) = norm
                & index(ldr,host(X5)) = host(X5)
                & setIn(X5,alive) ) )
        & ! [X5] :
            ( ( setIn(X5,alive)
              & ( index(status,host(X5)) = elec_2
                | index(status,host(X5)) = elec_1 ) )
           => index(elid,host(X5)) = X5 )
        & ! [X5,X6] :
            ( ( index(status,host(X6)) = elec_1
              & setIn(X6,alive) )
           => ~ elem(m_Ack(X6,X5),queue(host(X6))) )
        & ! [X5,X6] :
            ( ( elem(m_Ack(X6,X5),queue(host(X6)))
              & setIn(X6,alive) )
           => leq(host(X5),index(pendack,host(X6))) )
        & ! [X5,X6] :
            ( ( host(X6) = host(X5)
              & X6 != X5 )
           => ( ~ setIn(X6,alive)
              | ~ setIn(X5,alive) ) )
        & ! [X5,X6,X7] :
            ( elem(m_Ack(X7,X5),queue(host(X6)))
           => ~ leq(host(X5),host(X7)) )
        & ! [X5,X6] :
            ( elem(m_Halt(X6),queue(host(X5)))
           => ~ leq(host(X5),host(X6)) )
        & ! [X5,X6] :
            ( elem(m_Down(X6),queue(host(X5)))
           => host(X6) != host(X5) )
        & ! [X5,X6] :
            ( elem(m_Ldr(X6),queue(host(X5)))
           => ~ leq(host(X5),host(X6)) )
        & ! [X5] :
            ( host(X13) = host(X5)
           => ~ setIn(X5,alive) ) ) ),
    inference(split_equiv,[status(thm)],[c_0_9]) ).

fof(c_0_12,negated_conjecture,
    ! [X148] :
      ( index(status,host(esk7_0)) = norm
      & index(ldr,host(esk7_0)) = host(esk7_0)
      & ( esk7_0 = esk5_0
        | setIn(esk7_0,alive) )
      & host(esk9_0) = s(index(pendack,host(esk10_0)))
      & host(esk8_0) = index(pendack,host(esk10_0))
      & index(status,host(esk10_0)) = elec_2
      & elem(m_Ack(esk10_0,esk8_0),snoc(queue(host(esk10_0)),m_Halt(esk5_0)))
      & elem(m_Down(esk9_0),snoc(queue(host(esk10_0)),m_Halt(esk5_0)))
      & leq(nbr_proc,s(index(pendack,host(esk10_0))))
      & ( esk10_0 = esk5_0
        | setIn(esk10_0,alive) )
      & host(esk5_0) != host(esk10_0)
      & s(host(esk5_0)) = host(esk10_0)
      & host(esk5_0) != host(esk7_0)
      & ~ leq(nbr_proc,host(esk5_0))
      & host(esk5_0) = s(zero)
      & host(esk6_0) = host(esk5_0)
      & ~ setIn(esk5_0,pids)
      & ( leq(X148,esk5_0)
        | host(esk6_0) != host(X148) )
      & queue(host(esk6_0)) = q_nil
      & epred1_1(esk6_0) ),
    inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_10])])])])]) ).

fof(c_0_13,plain,
    ! [X153,X154,X155,X156,X157,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,X189,X190,X191,X192] :
      ( ( ~ epred1_1(X153)
        | index(status,host(X192)) != norm
        | index(ldr,host(X192)) != host(X192)
        | ~ setIn(X192,alive)
        | host(X190) != s(index(pendack,host(X191)))
        | host(X189) != index(pendack,host(X191))
        | index(status,host(X191)) != elec_2
        | ~ leq(nbr_proc,s(index(pendack,host(X191))))
        | ~ elem(m_Ack(X191,X189),queue(host(X191)))
        | ~ elem(m_Down(X190),queue(host(X191)))
        | ~ setIn(X191,alive) )
      & ( ~ epred1_1(X153)
        | ~ elem(m_Down(X185),queue(host(X184)))
        | ~ setIn(X184,alive)
        | index(status,host(X187)) != elec_1
        | host(X187) != nbr_proc
        | host(X187) != host(X185)
        | ~ elem(m_Down(X186),queue(host(X187)))
        | esk11_5(X153,X184,X185,X186,X187) != host(X186) )
      & ( ~ epred1_1(X153)
        | ~ elem(m_Down(X185),queue(host(X184)))
        | ~ setIn(X184,alive)
        | index(status,host(X187)) != elec_1
        | host(X187) != nbr_proc
        | host(X187) != host(X185)
        | ~ elem(m_Down(X186),queue(host(X187)))
        | ~ setIn(esk11_5(X153,X184,X185,X186,X187),index(down,host(X187))) )
      & ( ~ epred1_1(X153)
        | ~ elem(m_Down(X185),queue(host(X184)))
        | ~ setIn(X184,alive)
        | index(status,host(X187)) != elec_1
        | host(X187) != nbr_proc
        | host(X187) != host(X185)
        | ~ elem(m_Down(X186),queue(host(X187)))
        | leq(s(zero),esk11_5(X153,X184,X185,X186,X187)) )
      & ( ~ epred1_1(X153)
        | ~ elem(m_Down(X185),queue(host(X184)))
        | ~ setIn(X184,alive)
        | index(status,host(X187)) != elec_1
        | host(X187) != nbr_proc
        | host(X187) != host(X185)
        | ~ elem(m_Down(X186),queue(host(X187)))
        | ~ leq(host(X187),esk11_5(X153,X184,X185,X186,X187)) )
      & ( ~ epred1_1(X153)
        | index(status,host(X181)) != norm
        | index(ldr,host(X181)) != host(X181)
        | ~ setIn(X181,alive)
        | index(status,host(X183)) != elec_2
        | ~ elem(m_Halt(X183),queue(host(X182)))
        | ~ setIn(X183,alive)
        | leq(index(pendack,host(X183)),host(X181)) )
      & ( ~ epred1_1(X153)
        | ~ leq(index(pendack,host(X179)),index(pendack,host(X180)))
        | index(status,host(X180)) != elec_2
        | index(status,host(X179)) != elec_2
        | ~ setIn(X180,alive)
        | ~ setIn(X179,alive)
        | leq(host(X179),host(X180)) )
      & ( ~ epred1_1(X153)
        | leq(index(pendack,host(X178)),host(X177))
        | index(status,host(X178)) != elec_2
        | index(status,host(X177)) != elec_2
        | ~ setIn(X178,alive)
        | ~ setIn(X177,alive)
        | leq(host(X177),host(X178)) )
      & ( ~ epred1_1(X153)
        | ~ elem(m_Ack(X174,X175),queue(host(X174)))
        | index(status,host(X176)) != elec_2
        | index(status,host(X174)) != elec_2
        | host(X176) != host(X175)
        | ~ setIn(X176,alive)
        | ~ setIn(X174,alive) )
      & ( ~ epred1_1(X153)
        | index(status,host(X171)) != norm
        | index(ldr,host(X171)) != host(X171)
        | ~ setIn(X171,alive)
        | host(X172) != host(X171)
        | ~ elem(m_Down(X172),queue(host(X173)))
        | ~ setIn(X173,alive) )
      & ( ~ epred1_1(X153)
        | index(elid,host(X170)) = X170
        | ~ setIn(X170,alive)
        | index(status,host(X170)) != elec_2 )
      & ( ~ epred1_1(X153)
        | index(elid,host(X170)) = X170
        | ~ setIn(X170,alive)
        | index(status,host(X170)) != elec_1 )
      & ( ~ epred1_1(X153)
        | ~ elem(m_Ack(X169,X168),queue(host(X169)))
        | index(status,host(X169)) != elec_1
        | ~ setIn(X169,alive) )
      & ( ~ epred1_1(X153)
        | leq(host(X166),index(pendack,host(X167)))
        | ~ elem(m_Ack(X167,X166),queue(host(X167)))
        | ~ setIn(X167,alive) )
      & ( ~ epred1_1(X153)
        | ~ setIn(X165,alive)
        | ~ setIn(X164,alive)
        | host(X165) != host(X164)
        | X165 = X164 )
      & ( ~ epred1_1(X153)
        | ~ leq(host(X161),host(X163))
        | ~ elem(m_Ack(X163,X161),queue(host(X162))) )
      & ( ~ epred1_1(X153)
        | ~ leq(host(X159),host(X160))
        | ~ elem(m_Halt(X160),queue(host(X159))) )
      & ( ~ epred1_1(X153)
        | host(X158) != host(X157)
        | ~ elem(m_Down(X158),queue(host(X157))) )
      & ( ~ epred1_1(X153)
        | ~ leq(host(X155),host(X156))
        | ~ elem(m_Ldr(X156),queue(host(X155))) )
      & ( ~ epred1_1(X153)
        | ~ setIn(X154,alive)
        | host(X153) != host(X154) ) ),
    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])])])])])])]) ).

fof(c_0_14,plain,
    ( ~ epred3_0
  <=> ! [X3] : ~ epred1_1(X3) ),
    introduced(definition) ).

fof(c_0_15,plain,
    ( ~ epred11_0
  <=> ! [X4] :
        ( index(ldr,host(X4)) != host(X4)
        | index(status,host(X4)) != norm
        | ~ setIn(X4,alive) ) ),
    introduced(definition) ).

fof(c_0_16,plain,
    ! [X5,X6,X7] : m_Ack(X5,X6) != m_Halt(X7),
    inference(fof_simplification,[status(thm)],[axiom_11]) ).

cnf(c_0_17,negated_conjecture,
    host(esk9_0) = s(index(pendack,host(esk10_0))),
    inference(split_conjunct,[status(thm)],[c_0_12]) ).

cnf(c_0_18,negated_conjecture,
    host(esk8_0) = index(pendack,host(esk10_0)),
    inference(split_conjunct,[status(thm)],[c_0_12]) ).

fof(c_0_19,plain,
    ( ~ epred10_0
  <=> ! [X3,X2,X1] :
        ( host(X2) != s(index(pendack,host(X1)))
        | host(X3) != index(pendack,host(X1))
        | index(status,host(X1)) != elec_2
        | ~ leq(nbr_proc,s(index(pendack,host(X1))))
        | ~ setIn(X1,alive)
        | ~ elem(m_Ack(X1,X3),queue(host(X1)))
        | ~ elem(m_Down(X2),queue(host(X1))) ) ),
    introduced(definition) ).

cnf(c_0_20,plain,
    ( ~ epred1_1(X5)
    | index(status,host(X4)) != norm
    | index(ldr,host(X4)) != host(X4)
    | ~ setIn(X4,alive)
    | host(X2) != s(index(pendack,host(X1)))
    | host(X3) != index(pendack,host(X1))
    | index(status,host(X1)) != elec_2
    | ~ leq(nbr_proc,s(index(pendack,host(X1))))
    | ~ elem(m_Ack(X1,X3),queue(host(X1)))
    | ~ elem(m_Down(X2),queue(host(X1)))
    | ~ setIn(X1,alive) ),
    inference(split_conjunct,[status(thm)],[c_0_13]) ).

cnf(c_0_21,plain,
    ( ~ epred1_1(X1)
    | epred3_0 ),
    inference(split_equiv,[status(thm)],[c_0_14]) ).

cnf(c_0_22,negated_conjecture,
    epred1_1(esk6_0),
    inference(split_conjunct,[status(thm)],[c_0_12]) ).

cnf(c_0_23,plain,
    ( ~ setIn(X1,alive)
    | index(status,host(X1)) != norm
    | index(ldr,host(X1)) != host(X1)
    | epred11_0 ),
    inference(split_equiv,[status(thm)],[c_0_15]) ).

cnf(c_0_24,negated_conjecture,
    ( esk7_0 = esk5_0
    | setIn(esk7_0,alive) ),
    inference(split_conjunct,[status(thm)],[c_0_12]) ).

cnf(c_0_25,negated_conjecture,
    index(ldr,host(esk7_0)) = host(esk7_0),
    inference(split_conjunct,[status(thm)],[c_0_12]) ).

cnf(c_0_26,negated_conjecture,
    index(status,host(esk7_0)) = norm,
    inference(split_conjunct,[status(thm)],[c_0_12]) ).

fof(c_0_27,plain,
    ! [X100,X101,X102] :
      ( ( elem(X100,snoc(X102,X101))
        | ~ elem(X100,X102) )
      & ( elem(X100,snoc(X102,X101))
        | X100 != X101 )
      & ( elem(X100,X102)
        | X100 = X101
        | ~ elem(X100,snoc(X102,X101)) ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_47])])])]) ).

fof(c_0_28,plain,
    ! [X23,X24,X25] : m_Ack(X23,X24) != m_Halt(X25),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[c_0_16])]) ).

fof(c_0_29,plain,
    ! [X136,X137] :
      ( ( X136 != X137
        | leq(X137,X136) )
      & ( X136 != X137
        | leq(X136,X137) )
      & ( X136 = X137
        | ~ leq(X137,X136)
        | ~ leq(X136,X137) ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_61])])])]) ).

cnf(c_0_30,negated_conjecture,
    leq(nbr_proc,s(index(pendack,host(esk10_0)))),
    inference(split_conjunct,[status(thm)],[c_0_12]) ).

cnf(c_0_31,negated_conjecture,
    s(host(esk8_0)) = host(esk9_0),
    inference(rw,[status(thm)],[c_0_17,c_0_18]) ).

fof(c_0_32,plain,
    ! [X22] : leq(host(X22),nbr_proc),
    inference(variable_rename,[status(thm)],[axiom_04]) ).

cnf(c_0_33,plain,
    ( ~ epred3_0
    | ~ epred10_0
    | ~ epred11_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_20,c_0_19]),c_0_15]),c_0_14]) ).

cnf(c_0_34,negated_conjecture,
    epred3_0,
    inference(spm,[status(thm)],[c_0_21,c_0_22]) ).

cnf(c_0_35,negated_conjecture,
    host(esk5_0) != host(esk7_0),
    inference(split_conjunct,[status(thm)],[c_0_12]) ).

cnf(c_0_36,negated_conjecture,
    ( epred11_0
    | esk7_0 = esk5_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_24]),c_0_25]),c_0_26])]) ).

fof(c_0_37,plain,
    ! [X5,X6] : m_Down(X5) != m_Halt(X6),
    inference(fof_simplification,[status(thm)],[axiom_17]) ).

cnf(c_0_38,plain,
    ( ~ elem(X1,snoc(X2,X3))
    | elem(X1,X2)
    | X1 = X3 ),
    inference(split_conjunct,[status(thm)],[c_0_27]) ).

cnf(c_0_39,negated_conjecture,
    elem(m_Ack(esk10_0,esk8_0),snoc(queue(host(esk10_0)),m_Halt(esk5_0))),
    inference(split_conjunct,[status(thm)],[c_0_12]) ).

cnf(c_0_40,plain,
    m_Ack(X1,X2) != m_Halt(X3),
    inference(split_conjunct,[status(thm)],[c_0_28]) ).

cnf(c_0_41,plain,
    ( ~ leq(X2,X1)
    | ~ leq(X1,X2)
    | X1 = X2 ),
    inference(split_conjunct,[status(thm)],[c_0_29]) ).

cnf(c_0_42,negated_conjecture,
    leq(nbr_proc,host(esk9_0)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_30,c_0_18]),c_0_31]) ).

cnf(c_0_43,plain,
    leq(host(X1),nbr_proc),
    inference(split_conjunct,[status(thm)],[c_0_32]) ).

fof(c_0_44,plain,
    ! [X133] : leq(X133,X133),
    inference(variable_rename,[status(thm)],[axiom_59]) ).

cnf(c_0_45,plain,
    ( ~ epred10_0
    | ~ epred11_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_33,c_0_34])]) ).

cnf(c_0_46,negated_conjecture,
    epred11_0,
    inference(spm,[status(thm)],[c_0_35,c_0_36]) ).

fof(c_0_47,plain,
    ! [X40,X41] : m_Down(X40) != m_Halt(X41),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[c_0_37])]) ).

cnf(c_0_48,plain,
    ( ~ elem(m_Down(X1),queue(host(X2)))
    | ~ elem(m_Ack(X2,X3),queue(host(X2)))
    | ~ setIn(X2,alive)
    | ~ leq(nbr_proc,s(index(pendack,host(X2))))
    | index(status,host(X2)) != elec_2
    | host(X3) != index(pendack,host(X2))
    | host(X1) != s(index(pendack,host(X2)))
    | epred10_0 ),
    inference(split_equiv,[status(thm)],[c_0_19]) ).

cnf(c_0_49,negated_conjecture,
    elem(m_Ack(esk10_0,esk8_0),queue(host(esk10_0))),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_39]),c_0_40]) ).

cnf(c_0_50,negated_conjecture,
    host(esk9_0) = nbr_proc,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_42]),c_0_43])]) ).

cnf(c_0_51,negated_conjecture,
    index(status,host(esk10_0)) = elec_2,
    inference(split_conjunct,[status(thm)],[c_0_12]) ).

cnf(c_0_52,plain,
    leq(X1,X1),
    inference(split_conjunct,[status(thm)],[c_0_44]) ).

cnf(c_0_53,plain,
    ~ epred10_0,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_45,c_0_46])]) ).

cnf(c_0_54,negated_conjecture,
    elem(m_Down(esk9_0),snoc(queue(host(esk10_0)),m_Halt(esk5_0))),
    inference(split_conjunct,[status(thm)],[c_0_12]) ).

cnf(c_0_55,plain,
    m_Down(X1) != m_Halt(X2),
    inference(split_conjunct,[status(thm)],[c_0_47]) ).

fof(c_0_56,plain,
    ! [X17,X18] :
      ( ( ~ elem(m_Ack(X17,X18),queue(host(X17)))
        | setIn(X18,pids) )
      & ( ~ elem(m_Ack(X17,X18),queue(host(X17)))
        | setIn(X17,pids) ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom])])])]) ).

cnf(c_0_57,negated_conjecture,
    ( ~ elem(m_Down(X1),queue(host(esk10_0)))
    | ~ setIn(esk10_0,alive)
    | host(X1) != nbr_proc ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_49]),c_0_18]),c_0_31]),c_0_50]),c_0_18]),c_0_51]),c_0_18]),c_0_31]),c_0_50]),c_0_52])]),c_0_53]) ).

cnf(c_0_58,negated_conjecture,
    elem(m_Down(esk9_0),queue(host(esk10_0))),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_54]),c_0_55]) ).

cnf(c_0_59,plain,
    ( ~ elem(m_Ack(X1,X2),queue(host(X1)))
    | setIn(X1,pids) ),
    inference(split_conjunct,[status(thm)],[c_0_56]) ).

cnf(c_0_60,negated_conjecture,
    ( esk10_0 = esk5_0
    | setIn(esk10_0,alive) ),
    inference(split_conjunct,[status(thm)],[c_0_12]) ).

cnf(c_0_61,negated_conjecture,
    ~ setIn(esk10_0,alive),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_58]),c_0_50])]) ).

cnf(c_0_62,negated_conjecture,
    setIn(esk10_0,pids),
    inference(spm,[status(thm)],[c_0_59,c_0_49]) ).

cnf(c_0_63,negated_conjecture,
    esk10_0 = esk5_0,
    inference(sr,[status(thm)],[c_0_60,c_0_61]) ).

cnf(c_0_64,negated_conjecture,
    ~ setIn(esk5_0,pids),
    inference(split_conjunct,[status(thm)],[c_0_12]) ).

cnf(c_0_65,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_62,c_0_63]),c_0_64]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SWV461+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05  % Command  : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.37  % Computer : n001.cluster.edu
% 0.11/0.37  % Model    : x86_64 x86_64
% 0.11/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37  % Memory   : 8046.5625MB
% 0.11/0.37  % OS       : Linux 6.8.0-71-generic
% 0.11/0.37  % CPULimit : 300
% 0.11/0.37  % WCLimit  : 300
% 0.11/0.37  % DateTime : Mon Sep 21 08:58:14 UTC 2026
% 0.11/0.38  % CPUTime  : 
% 0.11/0.38  Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.42  Running first-order theorem proving
% 0.11/0.42  Running: /export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p
% 7.67/1.57  % Version: 3.5.1
% 7.67/1.57  % Preprocessing class: FSLSSMSMSSSNFFN.
% 7.67/1.57  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 7.67/1.57  % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 7.67/1.57  % Starting new_bool_3 with 300s (1) cores
% 7.67/1.57  % Starting new_bool_1 with 300s (1) cores
% 7.67/1.57  % Starting sh5l with 300s (1) cores
% 7.67/1.57  % C07_19_nc_SOS_SAT001_MinMin_p005000_rr with pid 2740402 completed with status 0
% 7.67/1.57  % Result found by C07_19_nc_SOS_SAT001_MinMin_p005000_rr
% 7.67/1.57  % Preprocessing class: FSLSSMSMSSSNFFN.
% 7.67/1.57  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 7.67/1.57  % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 7.67/1.57  % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 7.67/1.57  % No SInE strategy applied
% 7.67/1.57  % Search class: FGHSM-FFMM31-MFFFFFNN
% 7.67/1.57  % Scheduled 13 strats onto 5 cores with 1500 seconds (1500 total)
% 7.67/1.57  % Starting SubtermCWHack with 136s (1) cores
% 7.67/1.57  % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 151s (1) cores
% 7.67/1.57  % Starting G-E--_208_C12_02_nc_F1_SE_CS_SP_PS_S5PRR_RG_S070I with 113s (1) cores
% 7.67/1.57  % Starting G-N--_023_B07_F1_SP_PI_Q7_CS_SE_S0Y with 113s (1) cores
% 7.67/1.57  % Starting G-E--_103_C18_F1_PI_AE_Q4_CS_SP_S0Y with 113s (1) cores
% 7.67/1.57  % G-E--_103_C18_F1_PI_AE_Q4_CS_SP_S0Y with pid 2740413 completed with status 0
% 7.67/1.57  % Result found by G-E--_103_C18_F1_PI_AE_Q4_CS_SP_S0Y
% 7.67/1.57  % Preprocessing class: FSLSSMSMSSSNFFN.
% 7.67/1.57  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 7.67/1.57  % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 7.67/1.57  % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 7.67/1.57  % No SInE strategy applied
% 7.67/1.57  % Search class: FGHSM-FFMM31-MFFFFFNN
% 7.67/1.57  % Scheduled 13 strats onto 5 cores with 1500 seconds (1500 total)
% 7.67/1.57  % Starting SubtermCWHack with 136s (1) cores
% 7.67/1.57  % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 151s (1) cores
% 7.67/1.57  % Starting G-E--_208_C12_02_nc_F1_SE_CS_SP_PS_S5PRR_RG_S070I with 113s (1) cores
% 7.67/1.57  % Starting G-N--_023_B07_F1_SP_PI_Q7_CS_SE_S0Y with 113s (1) cores
% 7.67/1.57  % Starting G-E--_103_C18_F1_PI_AE_Q4_CS_SP_S0Y with 113s (1) cores
% 7.67/1.57  % Preprocessing time       : 0.003 s
% 7.67/1.57  
% 7.67/1.57  % Proof found!
% 7.67/1.57  % SZS status Theorem
% 7.67/1.57  % SZS output start CNFRefutation
% See solution above
% 7.67/1.57  % Parsed axioms                        : 67
% 7.67/1.57  % Removed by relevancy pruning/SinE    : 0
% 7.67/1.57  % Initial clauses                      : 136
% 7.67/1.57  % Removed in clause preprocessing      : 6
% 7.67/1.57  % Initial clauses in saturation        : 130
% 7.67/1.57  % Processed clauses                    : 8150
% 7.67/1.57  % ...of these trivial                  : 94
% 7.67/1.57  % ...subsumed                          : 6371
% 7.67/1.57  % ...remaining for further processing  : 1685
% 7.67/1.57  % Other redundant clauses eliminated   : 13
% 7.67/1.57  % Clauses deleted for lack of memory   : 0
% 7.67/1.57  % Backward-subsumed                    : 118
% 7.67/1.57  % Backward-rewritten                   : 221
% 7.67/1.57  % Generated clauses                    : 67831
% 7.67/1.57  % ...of the previous two non-redundant : 59712
% 7.67/1.57  % ...aggressively subsumed             : 0
% 7.67/1.57  % Contextual simplify-reflections      : 36
% 7.67/1.57  % Paramodulations                      : 67648
% 7.67/1.57  % Factorizations                       : 14
% 7.67/1.57  % NegExts                              : 0
% 7.67/1.57  % Equation resolutions                 : 145
% 7.67/1.57  % Disequality decompositions           : 0
% 7.67/1.57  % Total rewrite steps                  : 22136
% 7.67/1.57  % ...of those cached                   : 21778
% 7.67/1.57  % Propositional unsat checks           : 0
% 7.67/1.57  %    Propositional check models        : 0
% 7.67/1.57  %    Propositional check unsatisfiable : 0
% 7.67/1.57  %    Propositional clauses             : 0
% 7.67/1.57  %    Propositional clauses after purity: 0
% 7.67/1.57  %    Propositional unsat core size     : 0
% 7.67/1.57  %    Propositional preprocessing time  : 0.000
% 7.67/1.57  %    Propositional encoding time       : 0.000
% 7.67/1.57  %    Propositional solver time         : 0.000
% 7.67/1.57  %    Success case prop preproc time    : 0.000
% 7.67/1.57  %    Success case prop encoding time   : 0.000
% 7.67/1.57  %    Success case prop solver time     : 0.000
% 7.67/1.57  % Current number of processed clauses  : 1331
% 7.67/1.57  %    Positive orientable unit clauses  : 70
% 7.67/1.57  %    Positive unorientable unit clauses: 0
% 7.67/1.57  %    Negative unit clauses             : 114
% 7.67/1.57  %    Non-unit-clauses                  : 1147
% 7.67/1.57  % Current number of unprocessed clauses: 51263
% 7.67/1.57  % ...number of literals in the above   : 216067
% 7.67/1.57  % Current number of archived formulas  : 0
% 7.67/1.57  % Current number of archived clauses   : 340
% 7.67/1.57  % Clause-clause subsumption calls (NU) : 1221269
% 7.67/1.57  % Rec. Clause-clause subsumption calls : 265992
% 7.67/1.57  % Non-unit clause-clause subsumptions  : 2374
% 7.67/1.57  % Unit Clause-clause subsumption calls : 18080
% 7.67/1.57  % Rewrite failures with RHS unbound    : 0
% 7.67/1.57  % BW rewrite match attempts            : 64
% 7.67/1.57  % BW rewrite match successes           : 9
% 7.67/1.57  % Condensation attempts                : 0
% 7.67/1.57  % Condensation successes               : 0
% 7.67/1.57  % Termbank termtop insertions          : 913156
% 7.67/1.57  % Search garbage collected termcells   : 2106
% 7.67/1.57  
% 7.67/1.57  % -------------------------------------------------
% 7.67/1.57  % User time                : 1.038 s
% 7.67/1.57  % System time              : 0.041 s
% 7.67/1.57  % Total time               : 1.080 s
% 7.67/1.57  % Maximum resident set size: 3992 pages
% 7.67/1.57  
% 7.67/1.57  % -------------------------------------------------
% 7.67/1.57  % User time                : 4.882 s
% 7.67/1.57  % System time              : 0.172 s
% 7.67/1.57  % Total time               : 5.054 s
% 7.67/1.57  % Maximum resident set size: 4608 pages
% 7.67/1.57  % E exiting
%------------------------------------------------------------------------------