TSTP Solution File: SWV460+1 by E-SAT---3.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E-SAT---3.1
% Problem  : SWV460+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n028.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 2400s
% WCLimit  : 300s
% DateTime : Tue Oct 10 19:59:36 EDT 2023

% Result   : Theorem 80.36s 10.60s
% Output   : CNFRefutation 80.36s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :    7
% Syntax   : Number of formulae    :   47 (  22 unt;   0 def)
%            Number of atoms       :  383 ( 129 equ)
%            Maximal formula atoms :   72 (   8 avg)
%            Number of connectives :  505 ( 169   ~; 116   |; 159   &)
%                                         (   3 <=>;  58  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   50 (   6 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    6 (   4 usr;   1 prp; 0-3 aty)
%            Number of functors    :   25 (  25 usr;  17 con; 0-2 aty)
%            Number of variables   :  197 (  26 sgn; 149   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(conj,conjecture,
    ! [X12,X13,X5,X6] :
      ( ( ! [X7,X14] :
            ( elem(m_Halt(X14),queue(host(X7)))
           => ~ leq(host(X7),host(X14)) )
        & ! [X7] :
            ( index(status,host(X7)) = elec_2
           => ~ leq(index(pendack,host(X7)),host(X7)) )
        & ! [X7,X15,X14] :
            ( elem(m_Ack(X14,X7),queue(host(X15)))
           => ~ leq(host(X7),host(X14)) )
        & ! [X7,X14] :
            ( ( X14 != X7
              & host(X14) = host(X7) )
           => ( ~ setIn(X7,alive)
              | ~ setIn(X14,alive) ) )
        & ! [X7,X14] :
            ( ( setIn(X14,alive)
              & index(status,host(X14)) = elec_2 )
           => ~ elem(m_Ack(X7,X14),queue(host(X7))) )
        & ! [X7] :
            ( ( ( index(status,host(X7)) = elec_1
                | index(status,host(X7)) = elec_2 )
              & setIn(X7,alive) )
           => index(elid,host(X7)) = X7 )
        & ! [X7,X14] :
            ( ( setIn(X7,alive)
              & setIn(X14,alive)
              & setIn(host(X14),index(down,host(X7)))
              & index(status,host(X14)) = elec_2 )
           => leq(index(pendack,host(X14)),host(X7)) )
        & ! [X7,X15,X14] :
            ( ( ~ leq(host(X14),host(X7))
              & setIn(X7,alive)
              & setIn(X14,alive)
              & host(X14) = host(X15)
              & index(status,host(X14)) = elec_2 )
           => ~ elem(m_Down(X15),queue(host(X7))) )
        & ! [X7,X14] :
            ( ( ~ leq(host(X7),host(X14))
              & setIn(X7,alive)
              & setIn(X14,alive)
              & index(status,host(X7)) = elec_2
              & index(status,host(X14)) = elec_2 )
           => leq(index(pendack,host(X14)),host(X7)) )
        & ! [X7,X15,X14] :
            ( ( setIn(X7,alive)
              & setIn(X14,alive)
              & host(X14) = host(X15)
              & index(status,host(X7)) = elec_2
              & index(status,host(X14)) = elec_2 )
           => ~ elem(m_Ack(X7,X15),queue(host(X7))) )
        & ! [X7,X15,X14] :
            ( ( setIn(X7,alive)
              & setIn(X14,alive)
              & elem(m_Down(X15),queue(host(X7)))
              & host(X14) = host(X15)
              & index(status,host(X14)) = elec_2 )
           => leq(index(pendack,host(X14)),host(X7)) )
        & ! [X7,X14] :
            ( ( ~ leq(host(X7),host(X14))
              & setIn(X7,alive)
              & setIn(X14,alive)
              & index(status,host(X7)) = elec_2
              & index(status,host(X14)) = elec_2 )
           => ~ leq(index(pendack,host(X7)),index(pendack,host(X14))) )
        & queue(host(X5)) = cons(m_Down(X6),X12) )
     => ( setIn(X5,alive)
       => ( ~ leq(host(X5),host(X6))
         => ( ~ ( ( index(ldr,host(X5)) = host(X6)
                  & index(status,host(X5)) = norm )
                | ( index(status,host(X5)) = wait
                  & host(X6) = host(index(elid,host(X5))) ) )
           => ( ( ! [X7] :
                    ( ( ~ leq(host(X5),X7)
                      & leq(s(zero),X7) )
                   => ( setIn(X7,index(down,host(X5)))
                      | X7 = host(X6) ) )
                & index(status,host(X5)) = elec_1 )
             => ( ~ leq(nbr_proc,host(X5))
               => ! [X7] :
                    ( host(X5) = host(X7)
                   => ! [X16] :
                        ( host(X5) != host(X16)
                       => ( ( ~ leq(host(X7),host(X16))
                            & setIn(X7,alive)
                            & setIn(X16,alive)
                            & index(status,host(X16)) = elec_2 )
                         => ~ leq(s(host(X5)),index(pendack,host(X16))) ) ) ) ) ) ) ) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.UHMzJv6ZS6/E---3.1_8886.p',conj) ).

fof(axiom_58,axiom,
    ! [X5] : ~ leq(s(X5),X5),
    file('/export/starexec/sandbox2/tmp/tmp.UHMzJv6ZS6/E---3.1_8886.p',axiom_58) ).

fof(axiom_62,axiom,
    ! [X5,X6,X7] :
      ( ( leq(X5,X6)
        & leq(X6,X7) )
     => leq(X5,X7) ),
    file('/export/starexec/sandbox2/tmp/tmp.UHMzJv6ZS6/E---3.1_8886.p',axiom_62) ).

fof(axiom_02,axiom,
    ! [X3] : leq(s(zero),host(X3)),
    file('/export/starexec/sandbox2/tmp/tmp.UHMzJv6ZS6/E---3.1_8886.p',axiom_02) ).

fof(axiom_63,axiom,
    ! [X5,X6] :
      ( leq(X5,X6)
    <=> leq(s(X5),s(X6)) ),
    file('/export/starexec/sandbox2/tmp/tmp.UHMzJv6ZS6/E---3.1_8886.p',axiom_63) ).

fof(axiom_46,axiom,
    ! [X5,X6,X4] :
      ( elem(X5,cons(X6,X4))
    <=> ( X5 = X6
        | elem(X5,X4) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.UHMzJv6ZS6/E---3.1_8886.p',axiom_46) ).

fof(c_0_6,plain,
    ! [X5,X6,X12] :
      ( epred1_3(X12,X6,X5)
    <=> ( ! [X7,X14] :
            ( elem(m_Halt(X14),queue(host(X7)))
           => ~ leq(host(X7),host(X14)) )
        & ! [X7] :
            ( index(status,host(X7)) = elec_2
           => ~ leq(index(pendack,host(X7)),host(X7)) )
        & ! [X7,X15,X14] :
            ( elem(m_Ack(X14,X7),queue(host(X15)))
           => ~ leq(host(X7),host(X14)) )
        & ! [X7,X14] :
            ( ( X14 != X7
              & host(X14) = host(X7) )
           => ( ~ setIn(X7,alive)
              | ~ setIn(X14,alive) ) )
        & ! [X7,X14] :
            ( ( setIn(X14,alive)
              & index(status,host(X14)) = elec_2 )
           => ~ elem(m_Ack(X7,X14),queue(host(X7))) )
        & ! [X7] :
            ( ( ( index(status,host(X7)) = elec_1
                | index(status,host(X7)) = elec_2 )
              & setIn(X7,alive) )
           => index(elid,host(X7)) = X7 )
        & ! [X7,X14] :
            ( ( setIn(X7,alive)
              & setIn(X14,alive)
              & setIn(host(X14),index(down,host(X7)))
              & index(status,host(X14)) = elec_2 )
           => leq(index(pendack,host(X14)),host(X7)) )
        & ! [X7,X15,X14] :
            ( ( ~ leq(host(X14),host(X7))
              & setIn(X7,alive)
              & setIn(X14,alive)
              & host(X14) = host(X15)
              & index(status,host(X14)) = elec_2 )
           => ~ elem(m_Down(X15),queue(host(X7))) )
        & ! [X7,X14] :
            ( ( ~ leq(host(X7),host(X14))
              & setIn(X7,alive)
              & setIn(X14,alive)
              & index(status,host(X7)) = elec_2
              & index(status,host(X14)) = elec_2 )
           => leq(index(pendack,host(X14)),host(X7)) )
        & ! [X7,X15,X14] :
            ( ( setIn(X7,alive)
              & setIn(X14,alive)
              & host(X14) = host(X15)
              & index(status,host(X7)) = elec_2
              & index(status,host(X14)) = elec_2 )
           => ~ elem(m_Ack(X7,X15),queue(host(X7))) )
        & ! [X7,X15,X14] :
            ( ( setIn(X7,alive)
              & setIn(X14,alive)
              & elem(m_Down(X15),queue(host(X7)))
              & host(X14) = host(X15)
              & index(status,host(X14)) = elec_2 )
           => leq(index(pendack,host(X14)),host(X7)) )
        & ! [X7,X14] :
            ( ( ~ leq(host(X7),host(X14))
              & setIn(X7,alive)
              & setIn(X14,alive)
              & index(status,host(X7)) = elec_2
              & index(status,host(X14)) = elec_2 )
           => ~ leq(index(pendack,host(X7)),index(pendack,host(X14))) )
        & queue(host(X5)) = cons(m_Down(X6),X12) ) ),
    introduced(definition) ).

fof(c_0_7,negated_conjecture,
    ~ ! [X12,X13,X5,X6] :
        ( epred1_3(X12,X6,X5)
       => ( setIn(X5,alive)
         => ( ~ leq(host(X5),host(X6))
           => ( ~ ( ( index(ldr,host(X5)) = host(X6)
                    & index(status,host(X5)) = norm )
                  | ( index(status,host(X5)) = wait
                    & host(X6) = host(index(elid,host(X5))) ) )
             => ( ( ! [X7] :
                      ( ( ~ leq(host(X5),X7)
                        & leq(s(zero),X7) )
                     => ( setIn(X7,index(down,host(X5)))
                        | X7 = host(X6) ) )
                  & index(status,host(X5)) = elec_1 )
               => ( ~ leq(nbr_proc,host(X5))
                 => ! [X7] :
                      ( host(X5) = host(X7)
                     => ! [X16] :
                          ( host(X5) != host(X16)
                         => ( ( ~ leq(host(X7),host(X16))
                              & setIn(X7,alive)
                              & setIn(X16,alive)
                              & index(status,host(X16)) = elec_2 )
                           => ~ leq(s(host(X5)),index(pendack,host(X16))) ) ) ) ) ) ) ) ) ),
    inference(apply_def,[status(thm)],[inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[conj])]),c_0_6]) ).

fof(c_0_8,plain,
    ! [X5] : ~ leq(s(X5),X5),
    inference(fof_simplification,[status(thm)],[axiom_58]) ).

fof(c_0_9,plain,
    ! [X28,X29,X30] :
      ( ~ leq(X28,X29)
      | ~ leq(X29,X30)
      | leq(X28,X30) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_62])]) ).

fof(c_0_10,negated_conjecture,
    ! [X20] :
      ( epred1_3(esk1_0,esk3_0,esk2_0)
      & setIn(esk2_0,alive)
      & ~ leq(host(esk2_0),host(esk3_0))
      & ( index(ldr,host(esk2_0)) != host(esk3_0)
        | index(status,host(esk2_0)) != norm )
      & ( index(status,host(esk2_0)) != wait
        | host(esk3_0) != host(index(elid,host(esk2_0))) )
      & ( leq(host(esk2_0),X20)
        | ~ leq(s(zero),X20)
        | setIn(X20,index(down,host(esk2_0)))
        | X20 = host(esk3_0) )
      & index(status,host(esk2_0)) = elec_1
      & ~ leq(nbr_proc,host(esk2_0))
      & host(esk2_0) = host(esk4_0)
      & host(esk2_0) != host(esk5_0)
      & ~ leq(host(esk4_0),host(esk5_0))
      & setIn(esk4_0,alive)
      & setIn(esk5_0,alive)
      & index(status,host(esk5_0)) = elec_2
      & leq(s(host(esk2_0)),index(pendack,host(esk5_0))) ),
    inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[c_0_7])])])])]) ).

fof(c_0_11,plain,
    ! [X5,X6,X12] :
      ( epred1_3(X12,X6,X5)
     => ( ! [X7,X14] :
            ( elem(m_Halt(X14),queue(host(X7)))
           => ~ leq(host(X7),host(X14)) )
        & ! [X7] :
            ( index(status,host(X7)) = elec_2
           => ~ leq(index(pendack,host(X7)),host(X7)) )
        & ! [X7,X15,X14] :
            ( elem(m_Ack(X14,X7),queue(host(X15)))
           => ~ leq(host(X7),host(X14)) )
        & ! [X7,X14] :
            ( ( X14 != X7
              & host(X14) = host(X7) )
           => ( ~ setIn(X7,alive)
              | ~ setIn(X14,alive) ) )
        & ! [X7,X14] :
            ( ( setIn(X14,alive)
              & index(status,host(X14)) = elec_2 )
           => ~ elem(m_Ack(X7,X14),queue(host(X7))) )
        & ! [X7] :
            ( ( ( index(status,host(X7)) = elec_1
                | index(status,host(X7)) = elec_2 )
              & setIn(X7,alive) )
           => index(elid,host(X7)) = X7 )
        & ! [X7,X14] :
            ( ( setIn(X7,alive)
              & setIn(X14,alive)
              & setIn(host(X14),index(down,host(X7)))
              & index(status,host(X14)) = elec_2 )
           => leq(index(pendack,host(X14)),host(X7)) )
        & ! [X7,X15,X14] :
            ( ( ~ leq(host(X14),host(X7))
              & setIn(X7,alive)
              & setIn(X14,alive)
              & host(X14) = host(X15)
              & index(status,host(X14)) = elec_2 )
           => ~ elem(m_Down(X15),queue(host(X7))) )
        & ! [X7,X14] :
            ( ( ~ leq(host(X7),host(X14))
              & setIn(X7,alive)
              & setIn(X14,alive)
              & index(status,host(X7)) = elec_2
              & index(status,host(X14)) = elec_2 )
           => leq(index(pendack,host(X14)),host(X7)) )
        & ! [X7,X15,X14] :
            ( ( setIn(X7,alive)
              & setIn(X14,alive)
              & host(X14) = host(X15)
              & index(status,host(X7)) = elec_2
              & index(status,host(X14)) = elec_2 )
           => ~ elem(m_Ack(X7,X15),queue(host(X7))) )
        & ! [X7,X15,X14] :
            ( ( setIn(X7,alive)
              & setIn(X14,alive)
              & elem(m_Down(X15),queue(host(X7)))
              & host(X14) = host(X15)
              & index(status,host(X14)) = elec_2 )
           => leq(index(pendack,host(X14)),host(X7)) )
        & ! [X7,X14] :
            ( ( ~ leq(host(X7),host(X14))
              & setIn(X7,alive)
              & setIn(X14,alive)
              & index(status,host(X7)) = elec_2
              & index(status,host(X14)) = elec_2 )
           => ~ leq(index(pendack,host(X7)),index(pendack,host(X14))) )
        & queue(host(X5)) = cons(m_Down(X6),X12) ) ),
    inference(split_equiv,[status(thm)],[c_0_6]) ).

fof(c_0_12,plain,
    ! [X44] : leq(s(zero),host(X44)),
    inference(variable_rename,[status(thm)],[axiom_02]) ).

fof(c_0_13,plain,
    ! [X38] : ~ leq(s(X38),X38),
    inference(variable_rename,[status(thm)],[c_0_8]) ).

cnf(c_0_14,plain,
    ( leq(X1,X3)
    | ~ leq(X1,X2)
    | ~ leq(X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_9]) ).

cnf(c_0_15,negated_conjecture,
    leq(s(host(esk2_0)),index(pendack,host(esk5_0))),
    inference(split_conjunct,[status(thm)],[c_0_10]) ).

fof(c_0_16,plain,
    ! [X119,X120,X121,X122,X123,X124,X125,X126,X127,X128,X129,X130,X131,X132,X133,X134,X135,X136,X137,X138,X139,X140,X141,X142,X143,X144,X145,X146,X147] :
      ( ( ~ elem(m_Halt(X123),queue(host(X122)))
        | ~ leq(host(X122),host(X123))
        | ~ epred1_3(X121,X120,X119) )
      & ( index(status,host(X124)) != elec_2
        | ~ leq(index(pendack,host(X124)),host(X124))
        | ~ epred1_3(X121,X120,X119) )
      & ( ~ elem(m_Ack(X127,X125),queue(host(X126)))
        | ~ leq(host(X125),host(X127))
        | ~ epred1_3(X121,X120,X119) )
      & ( X129 = X128
        | host(X129) != host(X128)
        | ~ setIn(X128,alive)
        | ~ setIn(X129,alive)
        | ~ epred1_3(X121,X120,X119) )
      & ( ~ setIn(X131,alive)
        | index(status,host(X131)) != elec_2
        | ~ elem(m_Ack(X130,X131),queue(host(X130)))
        | ~ epred1_3(X121,X120,X119) )
      & ( index(status,host(X132)) != elec_1
        | ~ setIn(X132,alive)
        | index(elid,host(X132)) = X132
        | ~ epred1_3(X121,X120,X119) )
      & ( index(status,host(X132)) != elec_2
        | ~ setIn(X132,alive)
        | index(elid,host(X132)) = X132
        | ~ epred1_3(X121,X120,X119) )
      & ( ~ setIn(X133,alive)
        | ~ setIn(X134,alive)
        | ~ setIn(host(X134),index(down,host(X133)))
        | index(status,host(X134)) != elec_2
        | leq(index(pendack,host(X134)),host(X133))
        | ~ epred1_3(X121,X120,X119) )
      & ( leq(host(X137),host(X135))
        | ~ setIn(X135,alive)
        | ~ setIn(X137,alive)
        | host(X137) != host(X136)
        | index(status,host(X137)) != elec_2
        | ~ elem(m_Down(X136),queue(host(X135)))
        | ~ epred1_3(X121,X120,X119) )
      & ( leq(host(X138),host(X139))
        | ~ setIn(X138,alive)
        | ~ setIn(X139,alive)
        | index(status,host(X138)) != elec_2
        | index(status,host(X139)) != elec_2
        | leq(index(pendack,host(X139)),host(X138))
        | ~ epred1_3(X121,X120,X119) )
      & ( ~ setIn(X140,alive)
        | ~ setIn(X142,alive)
        | host(X142) != host(X141)
        | index(status,host(X140)) != elec_2
        | index(status,host(X142)) != elec_2
        | ~ elem(m_Ack(X140,X141),queue(host(X140)))
        | ~ epred1_3(X121,X120,X119) )
      & ( ~ setIn(X143,alive)
        | ~ setIn(X145,alive)
        | ~ elem(m_Down(X144),queue(host(X143)))
        | host(X145) != host(X144)
        | index(status,host(X145)) != elec_2
        | leq(index(pendack,host(X145)),host(X143))
        | ~ epred1_3(X121,X120,X119) )
      & ( leq(host(X146),host(X147))
        | ~ setIn(X146,alive)
        | ~ setIn(X147,alive)
        | index(status,host(X146)) != elec_2
        | index(status,host(X147)) != elec_2
        | ~ leq(index(pendack,host(X146)),index(pendack,host(X147)))
        | ~ epred1_3(X121,X120,X119) )
      & ( queue(host(X119)) = cons(m_Down(X120),X121)
        | ~ epred1_3(X121,X120,X119) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_11])])])]) ).

cnf(c_0_17,negated_conjecture,
    ( leq(host(esk2_0),X1)
    | setIn(X1,index(down,host(esk2_0)))
    | X1 = host(esk3_0)
    | ~ leq(s(zero),X1) ),
    inference(split_conjunct,[status(thm)],[c_0_10]) ).

cnf(c_0_18,plain,
    leq(s(zero),host(X1)),
    inference(split_conjunct,[status(thm)],[c_0_12]) ).

cnf(c_0_19,plain,
    ~ leq(s(X1),X1),
    inference(split_conjunct,[status(thm)],[c_0_13]) ).

cnf(c_0_20,negated_conjecture,
    ( leq(X1,index(pendack,host(esk5_0)))
    | ~ leq(X1,s(host(esk2_0))) ),
    inference(spm,[status(thm)],[c_0_14,c_0_15]) ).

fof(c_0_21,plain,
    ! [X39,X40] :
      ( ( ~ leq(X39,X40)
        | leq(s(X39),s(X40)) )
      & ( ~ leq(s(X39),s(X40))
        | leq(X39,X40) ) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_63])]) ).

cnf(c_0_22,plain,
    ( leq(index(pendack,host(X2)),host(X1))
    | ~ setIn(X1,alive)
    | ~ setIn(X2,alive)
    | ~ setIn(host(X2),index(down,host(X1)))
    | index(status,host(X2)) != elec_2
    | ~ epred1_3(X3,X4,X5) ),
    inference(split_conjunct,[status(thm)],[c_0_16]) ).

cnf(c_0_23,negated_conjecture,
    ( host(X1) = host(esk3_0)
    | leq(host(esk2_0),host(X1))
    | setIn(host(X1),index(down,host(esk2_0))) ),
    inference(spm,[status(thm)],[c_0_17,c_0_18]) ).

cnf(c_0_24,negated_conjecture,
    setIn(esk2_0,alive),
    inference(split_conjunct,[status(thm)],[c_0_10]) ).

cnf(c_0_25,negated_conjecture,
    ~ leq(s(index(pendack,host(esk5_0))),s(host(esk2_0))),
    inference(spm,[status(thm)],[c_0_19,c_0_20]) ).

cnf(c_0_26,plain,
    ( leq(s(X1),s(X2))
    | ~ leq(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_21]) ).

cnf(c_0_27,negated_conjecture,
    ~ leq(host(esk4_0),host(esk5_0)),
    inference(split_conjunct,[status(thm)],[c_0_10]) ).

cnf(c_0_28,negated_conjecture,
    host(esk2_0) = host(esk4_0),
    inference(split_conjunct,[status(thm)],[c_0_10]) ).

cnf(c_0_29,plain,
    ( queue(host(X1)) = cons(m_Down(X2),X3)
    | ~ epred1_3(X3,X2,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_16]) ).

cnf(c_0_30,negated_conjecture,
    epred1_3(esk1_0,esk3_0,esk2_0),
    inference(split_conjunct,[status(thm)],[c_0_10]) ).

fof(c_0_31,plain,
    ! [X51,X52,X53] :
      ( ( ~ elem(X51,cons(X52,X53))
        | X51 = X52
        | elem(X51,X53) )
      & ( X51 != X52
        | elem(X51,cons(X52,X53)) )
      & ( ~ elem(X51,X53)
        | elem(X51,cons(X52,X53)) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_46])])]) ).

cnf(c_0_32,plain,
    ( host(X1) = host(esk3_0)
    | leq(index(pendack,host(X1)),host(esk2_0))
    | leq(host(esk2_0),host(X1))
    | index(status,host(X1)) != elec_2
    | ~ epred1_3(X2,X3,X4)
    | ~ setIn(X1,alive) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_23]),c_0_24])]) ).

cnf(c_0_33,negated_conjecture,
    index(status,host(esk5_0)) = elec_2,
    inference(split_conjunct,[status(thm)],[c_0_10]) ).

cnf(c_0_34,negated_conjecture,
    setIn(esk5_0,alive),
    inference(split_conjunct,[status(thm)],[c_0_10]) ).

cnf(c_0_35,negated_conjecture,
    ~ leq(index(pendack,host(esk5_0)),host(esk2_0)),
    inference(spm,[status(thm)],[c_0_25,c_0_26]) ).

cnf(c_0_36,negated_conjecture,
    ~ leq(host(esk2_0),host(esk5_0)),
    inference(rw,[status(thm)],[c_0_27,c_0_28]) ).

cnf(c_0_37,plain,
    ( leq(index(pendack,host(X2)),host(X1))
    | ~ setIn(X1,alive)
    | ~ setIn(X2,alive)
    | ~ elem(m_Down(X3),queue(host(X1)))
    | host(X2) != host(X3)
    | index(status,host(X2)) != elec_2
    | ~ epred1_3(X4,X5,X6) ),
    inference(split_conjunct,[status(thm)],[c_0_16]) ).

cnf(c_0_38,negated_conjecture,
    queue(host(esk2_0)) = cons(m_Down(esk3_0),esk1_0),
    inference(spm,[status(thm)],[c_0_29,c_0_30]) ).

cnf(c_0_39,plain,
    ( elem(X1,cons(X2,X3))
    | X1 != X2 ),
    inference(split_conjunct,[status(thm)],[c_0_31]) ).

cnf(c_0_40,negated_conjecture,
    ( host(esk3_0) = host(esk5_0)
    | ~ epred1_3(X1,X2,X3) ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_33]),c_0_34])]),c_0_35]),c_0_36]) ).

cnf(c_0_41,negated_conjecture,
    ( leq(index(pendack,host(X1)),host(esk2_0))
    | index(status,host(X1)) != elec_2
    | host(X1) != host(X2)
    | ~ epred1_3(X3,X4,X5)
    | ~ setIn(X1,alive)
    | ~ elem(m_Down(X2),cons(m_Down(esk3_0),esk1_0)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_38]),c_0_24])]) ).

cnf(c_0_42,plain,
    elem(X1,cons(X1,X2)),
    inference(er,[status(thm)],[c_0_39]) ).

cnf(c_0_43,negated_conjecture,
    host(esk3_0) = host(esk5_0),
    inference(spm,[status(thm)],[c_0_40,c_0_30]) ).

cnf(c_0_44,negated_conjecture,
    ( leq(index(pendack,host(X1)),host(esk2_0))
    | index(status,host(X1)) != elec_2
    | host(X1) != host(esk5_0)
    | ~ epred1_3(X2,X3,X4)
    | ~ setIn(X1,alive) ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_42]),c_0_43]) ).

cnf(c_0_45,negated_conjecture,
    ~ epred1_3(X1,X2,X3),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_33]),c_0_34])]),c_0_35]) ).

cnf(c_0_46,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[c_0_30,c_0_45]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.10  % Problem    : SWV460+1 : TPTP v8.1.2. Released v4.0.0.
% 0.02/0.11  % Command    : run_E %s %d THM
% 0.10/0.31  % Computer : n028.cluster.edu
% 0.10/0.31  % Model    : x86_64 x86_64
% 0.10/0.31  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31  % Memory   : 8042.1875MB
% 0.10/0.31  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31  % CPULimit   : 2400
% 0.10/0.31  % WCLimit    : 300
% 0.10/0.31  % DateTime   : Tue Oct  3 03:38:22 EDT 2023
% 0.10/0.31  % CPUTime    : 
% 0.15/0.42  Running first-order model finding
% 0.15/0.42  Running: /export/starexec/sandbox2/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --satauto-schedule=8 --cpu-limit=300 /export/starexec/sandbox2/tmp/tmp.UHMzJv6ZS6/E---3.1_8886.p
% 80.36/10.60  # Version: 3.1pre001
% 80.36/10.60  # Preprocessing class: FSLSSMSMSSSNFFN.
% 80.36/10.60  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 80.36/10.60  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 80.36/10.60  # Starting new_bool_3 with 300s (1) cores
% 80.36/10.60  # Starting new_bool_1 with 300s (1) cores
% 80.36/10.60  # Starting sh5l with 300s (1) cores
% 80.36/10.60  # new_bool_3 with pid 8964 completed with status 0
% 80.36/10.60  # Result found by new_bool_3
% 80.36/10.60  # Preprocessing class: FSLSSMSMSSSNFFN.
% 80.36/10.60  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 80.36/10.60  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 80.36/10.60  # Starting new_bool_3 with 300s (1) cores
% 80.36/10.60  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 80.36/10.60  # Search class: FGHSM-FFMM21-MFFFFFNN
% 80.36/10.60  # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 80.36/10.60  # Starting G-E--_208_C12_11_nc_F1_SE_CS_SP_PS_S5PRR_S04BN with 181s (1) cores
% 80.36/10.60  # G-E--_208_C12_11_nc_F1_SE_CS_SP_PS_S5PRR_S04BN with pid 8967 completed with status 0
% 80.36/10.60  # Result found by G-E--_208_C12_11_nc_F1_SE_CS_SP_PS_S5PRR_S04BN
% 80.36/10.60  # Preprocessing class: FSLSSMSMSSSNFFN.
% 80.36/10.60  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 80.36/10.60  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 80.36/10.60  # Starting new_bool_3 with 300s (1) cores
% 80.36/10.60  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 80.36/10.60  # Search class: FGHSM-FFMM21-MFFFFFNN
% 80.36/10.60  # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 80.36/10.60  # Starting G-E--_208_C12_11_nc_F1_SE_CS_SP_PS_S5PRR_S04BN with 181s (1) cores
% 80.36/10.60  # Preprocessing time       : 0.003 s
% 80.36/10.60  # Presaturation interreduction done
% 80.36/10.60  
% 80.36/10.60  # Proof found!
% 80.36/10.60  # SZS status Theorem
% 80.36/10.60  # SZS output start CNFRefutation
% See solution above
% 80.36/10.60  # Parsed axioms                        : 67
% 80.36/10.60  # Removed by relevancy pruning/SinE    : 14
% 80.36/10.60  # Initial clauses                      : 96
% 80.36/10.60  # Removed in clause preprocessing      : 6
% 80.36/10.60  # Initial clauses in saturation        : 90
% 80.36/10.60  # Processed clauses                    : 39971
% 80.36/10.60  # ...of these trivial                  : 1090
% 80.36/10.60  # ...subsumed                          : 34972
% 80.36/10.60  # ...remaining for further processing  : 3909
% 80.36/10.60  # Other redundant clauses eliminated   : 12
% 80.36/10.60  # Clauses deleted for lack of memory   : 0
% 80.36/10.60  # Backward-subsumed                    : 559
% 80.36/10.60  # Backward-rewritten                   : 121
% 80.36/10.60  # Generated clauses                    : 841998
% 80.36/10.60  # ...of the previous two non-redundant : 510713
% 80.36/10.60  # ...aggressively subsumed             : 0
% 80.36/10.60  # Contextual simplify-reflections      : 9
% 80.36/10.60  # Paramodulations                      : 841504
% 80.36/10.60  # Factorizations                       : 471
% 80.36/10.60  # NegExts                              : 0
% 80.36/10.60  # Equation resolutions                 : 21
% 80.36/10.60  # Total rewrite steps                  : 384472
% 80.36/10.60  # Propositional unsat checks           : 0
% 80.36/10.60  #    Propositional check models        : 0
% 80.36/10.60  #    Propositional check unsatisfiable : 0
% 80.36/10.60  #    Propositional clauses             : 0
% 80.36/10.60  #    Propositional clauses after purity: 0
% 80.36/10.60  #    Propositional unsat core size     : 0
% 80.36/10.60  #    Propositional preprocessing time  : 0.000
% 80.36/10.60  #    Propositional encoding time       : 0.000
% 80.36/10.60  #    Propositional solver time         : 0.000
% 80.36/10.60  #    Success case prop preproc time    : 0.000
% 80.36/10.60  #    Success case prop encoding time   : 0.000
% 80.36/10.60  #    Success case prop solver time     : 0.000
% 80.36/10.60  # Current number of processed clauses  : 3138
% 80.36/10.60  #    Positive orientable unit clauses  : 206
% 80.36/10.60  #    Positive unorientable unit clauses: 0
% 80.36/10.60  #    Negative unit clauses             : 271
% 80.36/10.60  #    Non-unit-clauses                  : 2661
% 80.36/10.60  # Current number of unprocessed clauses: 468541
% 80.36/10.60  # ...number of literals in the above   : 1558623
% 80.36/10.60  # Current number of archived formulas  : 0
% 80.36/10.60  # Current number of archived clauses   : 766
% 80.36/10.60  # Clause-clause subsumption calls (NU) : 1329141
% 80.36/10.60  # Rec. Clause-clause subsumption calls : 1170897
% 80.36/10.60  # Non-unit clause-clause subsumptions  : 10035
% 80.36/10.60  # Unit Clause-clause subsumption calls : 17371
% 80.36/10.60  # Rewrite failures with RHS unbound    : 0
% 80.36/10.60  # BW rewrite match attempts            : 4229
% 80.36/10.60  # BW rewrite match successes           : 56
% 80.36/10.60  # Condensation attempts                : 0
% 80.36/10.60  # Condensation successes               : 0
% 80.36/10.60  # Termbank termtop insertions          : 15222523
% 80.36/10.60  
% 80.36/10.60  # -------------------------------------------------
% 80.36/10.60  # User time                : 9.717 s
% 80.36/10.60  # System time              : 0.289 s
% 80.36/10.60  # Total time               : 10.007 s
% 80.36/10.60  # Maximum resident set size: 2176 pages
% 80.36/10.60  
% 80.36/10.60  # -------------------------------------------------
% 80.36/10.60  # User time                : 9.720 s
% 80.36/10.60  # System time              : 0.291 s
% 80.36/10.60  # Total time               : 10.011 s
% 80.36/10.60  # Maximum resident set size: 1772 pages
% 80.36/10.60  % E---3.1 exiting
%------------------------------------------------------------------------------