TSTP Solution File: SWV473+1 by E-SAT---3.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E-SAT---3.1
% Problem  : SWV473+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n029.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 19:59:38 EDT 2023

% Result   : Theorem 23.26s 3.51s
% Output   : CNFRefutation 23.26s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   13
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   51 (  24 unt;   0 def)
%            Number of atoms       :  406 ( 182 equ)
%            Maximal formula atoms :   86 (   7 avg)
%            Number of connectives :  555 ( 200   ~; 150   |; 154   &)
%                                         (   3 <=>;  48  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   54 (   6 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    6 (   4 usr;   1 prp; 0-4 aty)
%            Number of functors    :   30 (  30 usr;  20 con; 0-8 aty)
%            Number of variables   :  235 (  48 sgn; 156   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(conj,conjecture,
    ! [X12,X13,X5,X6] :
      ( ( ! [X7,X14] :
            ( elem(m_Ldr(X14),queue(host(X7)))
           => ~ leq(host(X7),host(X14)) )
        & ! [X7,X14] :
            ( elem(m_Down(X14),queue(host(X7)))
           => host(X14) != host(X7) )
        & ! [X7,X14] :
            ( host(X14) = nbr_proc
           => ~ elem(m_NotNorm(X7),queue(host(X14))) )
        & ! [X7,X14] :
            ( ( X14 != X7
              & host(X14) = host(X7) )
           => ( ~ setIn(X7,alive)
              | ~ setIn(X14,alive) ) )
        & ! [X7] :
            ( ( ( index(status,host(X7)) = elec_1
                | index(status,host(X7)) = elec_2 )
              & setIn(X7,alive) )
           => index(elid,host(X7)) = X7 )
        & ! [X7,X15,X14] :
            ( ( host(X14) != host(X15)
              & setIn(X14,alive)
              & host(X14) = host(X7)
              & index(status,host(X14)) = norm
              & index(ldr,host(X14)) = host(X15) )
           => ~ elem(m_Down(X7),queue(host(X15))) )
        & ! [X7,X15,X14] :
            ( ( host(X14) != host(X15)
              & setIn(X14,alive)
              & host(X14) = host(X7)
              & index(status,host(X14)) = wait
              & host(index(elid,host(X14))) = host(X15) )
           => ~ elem(m_Down(X7),queue(host(X15))) )
        & ! [X7,X16,X15,X14] :
            ( ( host(X15) != host(X7)
              & setIn(X7,alive)
              & setIn(X15,alive)
              & host(X16) = host(X7)
              & host(X14) = host(X15) )
           => ~ ( elem(m_Down(X14),queue(host(X7)))
                & elem(m_Down(X16),queue(host(X15))) ) )
        & ! [X7,X16,X15,X14] :
            ( ( host(X15) != host(X7)
              & setIn(X7,alive)
              & setIn(X15,alive)
              & host(X16) = host(X7)
              & host(X14) = host(X15) )
           => ~ ( elem(m_Down(X14),queue(host(X7)))
                & setIn(host(X16),index(down,host(X15))) ) )
        & ! [X7,X16,X15,X14] :
            ( ( ! [X17] :
                  ( ( ~ leq(host(X14),X17)
                    & leq(s(zero),X17) )
                 => ( setIn(X17,index(down,host(X14)))
                    | X17 = host(X15) ) )
              & elem(m_Down(X15),queue(host(X14)))
              & host(X14) = nbr_proc
              & host(X14) = host(X16)
              & index(status,host(X14)) = elec_1 )
           => ~ ( setIn(X7,alive)
                & elem(m_Down(X16),queue(host(X7))) ) )
        & queue(host(X5)) = cons(m_Ack(X13,X6),X12) )
     => ( setIn(X5,alive)
       => ( ~ ( index(elid,host(X5)) = X13
              & index(status,host(X5)) = elec_2
              & host(X6) = index(pendack,host(X5)) )
         => ! [X7] :
              ( host(X5) != host(X7)
             => ! [X18,X19,X20] :
                  ( host(X5) = host(X20)
                 => ( ( ! [X17] :
                          ( ( ~ leq(host(X20),X17)
                            & leq(s(zero),X17) )
                         => ( setIn(X17,index(down,host(X20)))
                            | X17 = host(X19) ) )
                      & elem(m_Down(X19),X12)
                      & host(X20) = host(X18)
                      & host(X20) = nbr_proc
                      & index(status,host(X20)) = elec_1 )
                   => ~ ( setIn(X7,alive)
                        & elem(m_Down(X18),queue(host(X7))) ) ) ) ) ) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.dHh79U0nF3/E---3.1_4636.p',conj) ).

fof(axiom_02,axiom,
    ! [X3] : leq(s(zero),host(X3)),
    file('/export/starexec/sandbox2/tmp/tmp.dHh79U0nF3/E---3.1_4636.p',axiom_02) ).

fof(axiom_46,axiom,
    ! [X5,X6,X4] :
      ( elem(X5,cons(X6,X4))
    <=> ( X5 = X6
        | elem(X5,X4) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.dHh79U0nF3/E---3.1_4636.p',axiom_46) ).

fof(axiom_61,axiom,
    ! [X5,X6] :
      ( ( leq(X5,X6)
        & leq(X6,X5) )
    <=> X5 = X6 ),
    file('/export/starexec/sandbox2/tmp/tmp.dHh79U0nF3/E---3.1_4636.p',axiom_61) ).

fof(axiom_04,axiom,
    ! [X3] : leq(host(X3),nbr_proc),
    file('/export/starexec/sandbox2/tmp/tmp.dHh79U0nF3/E---3.1_4636.p',axiom_04) ).

fof(c_0_5,plain,
    ! [X5,X6,X13,X12] :
      ( epred1_4(X12,X13,X6,X5)
    <=> ( ! [X7,X14] :
            ( elem(m_Ldr(X14),queue(host(X7)))
           => ~ leq(host(X7),host(X14)) )
        & ! [X7,X14] :
            ( elem(m_Down(X14),queue(host(X7)))
           => host(X14) != host(X7) )
        & ! [X7,X14] :
            ( host(X14) = nbr_proc
           => ~ elem(m_NotNorm(X7),queue(host(X14))) )
        & ! [X7,X14] :
            ( ( X14 != X7
              & host(X14) = host(X7) )
           => ( ~ setIn(X7,alive)
              | ~ setIn(X14,alive) ) )
        & ! [X7] :
            ( ( ( index(status,host(X7)) = elec_1
                | index(status,host(X7)) = elec_2 )
              & setIn(X7,alive) )
           => index(elid,host(X7)) = X7 )
        & ! [X7,X15,X14] :
            ( ( host(X14) != host(X15)
              & setIn(X14,alive)
              & host(X14) = host(X7)
              & index(status,host(X14)) = norm
              & index(ldr,host(X14)) = host(X15) )
           => ~ elem(m_Down(X7),queue(host(X15))) )
        & ! [X7,X15,X14] :
            ( ( host(X14) != host(X15)
              & setIn(X14,alive)
              & host(X14) = host(X7)
              & index(status,host(X14)) = wait
              & host(index(elid,host(X14))) = host(X15) )
           => ~ elem(m_Down(X7),queue(host(X15))) )
        & ! [X7,X16,X15,X14] :
            ( ( host(X15) != host(X7)
              & setIn(X7,alive)
              & setIn(X15,alive)
              & host(X16) = host(X7)
              & host(X14) = host(X15) )
           => ~ ( elem(m_Down(X14),queue(host(X7)))
                & elem(m_Down(X16),queue(host(X15))) ) )
        & ! [X7,X16,X15,X14] :
            ( ( host(X15) != host(X7)
              & setIn(X7,alive)
              & setIn(X15,alive)
              & host(X16) = host(X7)
              & host(X14) = host(X15) )
           => ~ ( elem(m_Down(X14),queue(host(X7)))
                & setIn(host(X16),index(down,host(X15))) ) )
        & ! [X7,X16,X15,X14] :
            ( ( ! [X17] :
                  ( ( ~ leq(host(X14),X17)
                    & leq(s(zero),X17) )
                 => ( setIn(X17,index(down,host(X14)))
                    | X17 = host(X15) ) )
              & elem(m_Down(X15),queue(host(X14)))
              & host(X14) = nbr_proc
              & host(X14) = host(X16)
              & index(status,host(X14)) = elec_1 )
           => ~ ( setIn(X7,alive)
                & elem(m_Down(X16),queue(host(X7))) ) )
        & queue(host(X5)) = cons(m_Ack(X13,X6),X12) ) ),
    introduced(definition) ).

fof(c_0_6,negated_conjecture,
    ~ ! [X12,X13,X5,X6] :
        ( epred1_4(X12,X13,X6,X5)
       => ( setIn(X5,alive)
         => ( ~ ( index(elid,host(X5)) = X13
                & index(status,host(X5)) = elec_2
                & host(X6) = index(pendack,host(X5)) )
           => ! [X7] :
                ( host(X5) != host(X7)
               => ! [X18,X19,X20] :
                    ( host(X5) = host(X20)
                   => ( ( ! [X17] :
                            ( ( ~ leq(host(X20),X17)
                              & leq(s(zero),X17) )
                           => ( setIn(X17,index(down,host(X20)))
                              | X17 = host(X19) ) )
                        & elem(m_Down(X19),X12)
                        & host(X20) = host(X18)
                        & host(X20) = nbr_proc
                        & index(status,host(X20)) = elec_1 )
                     => ~ ( setIn(X7,alive)
                          & elem(m_Down(X18),queue(host(X7))) ) ) ) ) ) ) ),
    inference(apply_def,[status(thm)],[inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[conj])]),c_0_5]) ).

fof(c_0_7,plain,
    ! [X5,X6,X13,X12] :
      ( epred1_4(X12,X13,X6,X5)
     => ( ! [X7,X14] :
            ( elem(m_Ldr(X14),queue(host(X7)))
           => ~ leq(host(X7),host(X14)) )
        & ! [X7,X14] :
            ( elem(m_Down(X14),queue(host(X7)))
           => host(X14) != host(X7) )
        & ! [X7,X14] :
            ( host(X14) = nbr_proc
           => ~ elem(m_NotNorm(X7),queue(host(X14))) )
        & ! [X7,X14] :
            ( ( X14 != X7
              & host(X14) = host(X7) )
           => ( ~ setIn(X7,alive)
              | ~ setIn(X14,alive) ) )
        & ! [X7] :
            ( ( ( index(status,host(X7)) = elec_1
                | index(status,host(X7)) = elec_2 )
              & setIn(X7,alive) )
           => index(elid,host(X7)) = X7 )
        & ! [X7,X15,X14] :
            ( ( host(X14) != host(X15)
              & setIn(X14,alive)
              & host(X14) = host(X7)
              & index(status,host(X14)) = norm
              & index(ldr,host(X14)) = host(X15) )
           => ~ elem(m_Down(X7),queue(host(X15))) )
        & ! [X7,X15,X14] :
            ( ( host(X14) != host(X15)
              & setIn(X14,alive)
              & host(X14) = host(X7)
              & index(status,host(X14)) = wait
              & host(index(elid,host(X14))) = host(X15) )
           => ~ elem(m_Down(X7),queue(host(X15))) )
        & ! [X7,X16,X15,X14] :
            ( ( host(X15) != host(X7)
              & setIn(X7,alive)
              & setIn(X15,alive)
              & host(X16) = host(X7)
              & host(X14) = host(X15) )
           => ~ ( elem(m_Down(X14),queue(host(X7)))
                & elem(m_Down(X16),queue(host(X15))) ) )
        & ! [X7,X16,X15,X14] :
            ( ( host(X15) != host(X7)
              & setIn(X7,alive)
              & setIn(X15,alive)
              & host(X16) = host(X7)
              & host(X14) = host(X15) )
           => ~ ( elem(m_Down(X14),queue(host(X7)))
                & setIn(host(X16),index(down,host(X15))) ) )
        & ! [X7,X16,X15,X14] :
            ( ( ! [X17] :
                  ( ( ~ leq(host(X14),X17)
                    & leq(s(zero),X17) )
                 => ( setIn(X17,index(down,host(X14)))
                    | X17 = host(X15) ) )
              & elem(m_Down(X15),queue(host(X14)))
              & host(X14) = nbr_proc
              & host(X14) = host(X16)
              & index(status,host(X14)) = elec_1 )
           => ~ ( setIn(X7,alive)
                & elem(m_Down(X16),queue(host(X7))) ) )
        & queue(host(X5)) = cons(m_Ack(X13,X6),X12) ) ),
    inference(split_equiv,[status(thm)],[c_0_5]) ).

fof(c_0_8,negated_conjecture,
    ! [X29] :
      ( epred1_4(esk1_0,esk2_0,esk4_0,esk3_0)
      & setIn(esk3_0,alive)
      & ( index(elid,host(esk3_0)) != esk2_0
        | index(status,host(esk3_0)) != elec_2
        | host(esk4_0) != index(pendack,host(esk3_0)) )
      & host(esk3_0) != host(esk5_0)
      & host(esk3_0) = host(esk8_0)
      & ( leq(host(esk8_0),X29)
        | ~ leq(s(zero),X29)
        | setIn(X29,index(down,host(esk8_0)))
        | X29 = host(esk7_0) )
      & elem(m_Down(esk7_0),esk1_0)
      & host(esk8_0) = host(esk6_0)
      & host(esk8_0) = nbr_proc
      & index(status,host(esk8_0)) = elec_1
      & setIn(esk5_0,alive)
      & elem(m_Down(esk6_0),queue(host(esk5_0))) ),
    inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_6])])])]) ).

fof(c_0_9,plain,
    ! [X126,X127,X128,X129,X130,X131,X132,X133,X134,X135,X136,X137,X138,X139,X140,X141,X142,X143,X144,X145,X146,X147,X148,X149,X150,X151,X152,X153,X154,X155,X156] :
      ( ( ~ elem(m_Ldr(X131),queue(host(X130)))
        | ~ leq(host(X130),host(X131))
        | ~ epred1_4(X129,X128,X127,X126) )
      & ( ~ elem(m_Down(X133),queue(host(X132)))
        | host(X133) != host(X132)
        | ~ epred1_4(X129,X128,X127,X126) )
      & ( host(X135) != nbr_proc
        | ~ elem(m_NotNorm(X134),queue(host(X135)))
        | ~ epred1_4(X129,X128,X127,X126) )
      & ( X137 = X136
        | host(X137) != host(X136)
        | ~ setIn(X136,alive)
        | ~ setIn(X137,alive)
        | ~ epred1_4(X129,X128,X127,X126) )
      & ( index(status,host(X138)) != elec_1
        | ~ setIn(X138,alive)
        | index(elid,host(X138)) = X138
        | ~ epred1_4(X129,X128,X127,X126) )
      & ( index(status,host(X138)) != elec_2
        | ~ setIn(X138,alive)
        | index(elid,host(X138)) = X138
        | ~ epred1_4(X129,X128,X127,X126) )
      & ( host(X141) = host(X140)
        | ~ setIn(X141,alive)
        | host(X141) != host(X139)
        | index(status,host(X141)) != norm
        | index(ldr,host(X141)) != host(X140)
        | ~ elem(m_Down(X139),queue(host(X140)))
        | ~ epred1_4(X129,X128,X127,X126) )
      & ( host(X144) = host(X143)
        | ~ setIn(X144,alive)
        | host(X144) != host(X142)
        | index(status,host(X144)) != wait
        | host(index(elid,host(X144))) != host(X143)
        | ~ elem(m_Down(X142),queue(host(X143)))
        | ~ epred1_4(X129,X128,X127,X126) )
      & ( host(X147) = host(X145)
        | ~ setIn(X145,alive)
        | ~ setIn(X147,alive)
        | host(X146) != host(X145)
        | host(X148) != host(X147)
        | ~ elem(m_Down(X148),queue(host(X145)))
        | ~ elem(m_Down(X146),queue(host(X147)))
        | ~ epred1_4(X129,X128,X127,X126) )
      & ( host(X151) = host(X149)
        | ~ setIn(X149,alive)
        | ~ setIn(X151,alive)
        | host(X150) != host(X149)
        | host(X152) != host(X151)
        | ~ elem(m_Down(X152),queue(host(X149)))
        | ~ setIn(host(X150),index(down,host(X151)))
        | ~ epred1_4(X129,X128,X127,X126) )
      & ( ~ leq(host(X156),esk9_8(X126,X127,X128,X129,X153,X154,X155,X156))
        | ~ elem(m_Down(X155),queue(host(X156)))
        | host(X156) != nbr_proc
        | host(X156) != host(X154)
        | index(status,host(X156)) != elec_1
        | ~ setIn(X153,alive)
        | ~ elem(m_Down(X154),queue(host(X153)))
        | ~ epred1_4(X129,X128,X127,X126) )
      & ( leq(s(zero),esk9_8(X126,X127,X128,X129,X153,X154,X155,X156))
        | ~ elem(m_Down(X155),queue(host(X156)))
        | host(X156) != nbr_proc
        | host(X156) != host(X154)
        | index(status,host(X156)) != elec_1
        | ~ setIn(X153,alive)
        | ~ elem(m_Down(X154),queue(host(X153)))
        | ~ epred1_4(X129,X128,X127,X126) )
      & ( ~ setIn(esk9_8(X126,X127,X128,X129,X153,X154,X155,X156),index(down,host(X156)))
        | ~ elem(m_Down(X155),queue(host(X156)))
        | host(X156) != nbr_proc
        | host(X156) != host(X154)
        | index(status,host(X156)) != elec_1
        | ~ setIn(X153,alive)
        | ~ elem(m_Down(X154),queue(host(X153)))
        | ~ epred1_4(X129,X128,X127,X126) )
      & ( esk9_8(X126,X127,X128,X129,X153,X154,X155,X156) != host(X155)
        | ~ elem(m_Down(X155),queue(host(X156)))
        | host(X156) != nbr_proc
        | host(X156) != host(X154)
        | index(status,host(X156)) != elec_1
        | ~ setIn(X153,alive)
        | ~ elem(m_Down(X154),queue(host(X153)))
        | ~ epred1_4(X129,X128,X127,X126) )
      & ( queue(host(X126)) = cons(m_Ack(X128,X127),X129)
        | ~ epred1_4(X129,X128,X127,X126) ) ),
    inference(distribute,[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_7])])])])])]) ).

cnf(c_0_10,negated_conjecture,
    host(esk3_0) = host(esk8_0),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

cnf(c_0_11,negated_conjecture,
    host(esk8_0) = nbr_proc,
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

cnf(c_0_12,plain,
    ( host(X1) = host(X2)
    | ~ setIn(X2,alive)
    | ~ setIn(X1,alive)
    | host(X3) != host(X2)
    | host(X4) != host(X1)
    | ~ elem(m_Down(X4),queue(host(X2)))
    | ~ setIn(host(X3),index(down,host(X1)))
    | ~ epred1_4(X5,X6,X7,X8) ),
    inference(split_conjunct,[status(thm)],[c_0_9]) ).

cnf(c_0_13,negated_conjecture,
    setIn(esk5_0,alive),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

cnf(c_0_14,negated_conjecture,
    host(esk3_0) != host(esk5_0),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

cnf(c_0_15,negated_conjecture,
    host(esk3_0) = nbr_proc,
    inference(rw,[status(thm)],[c_0_10,c_0_11]) ).

cnf(c_0_16,negated_conjecture,
    ( host(X1) = host(esk5_0)
    | host(esk5_0) != host(X2)
    | host(X1) != host(X3)
    | ~ epred1_4(X4,X5,X6,X7)
    | ~ setIn(host(X2),index(down,host(X1)))
    | ~ setIn(X1,alive)
    | ~ elem(m_Down(X3),queue(host(esk5_0))) ),
    inference(spm,[status(thm)],[c_0_12,c_0_13]) ).

cnf(c_0_17,negated_conjecture,
    setIn(esk3_0,alive),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

cnf(c_0_18,negated_conjecture,
    host(esk5_0) != nbr_proc,
    inference(rw,[status(thm)],[c_0_14,c_0_15]) ).

cnf(c_0_19,negated_conjecture,
    host(esk8_0) = host(esk6_0),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

cnf(c_0_20,negated_conjecture,
    ( host(esk5_0) != host(X1)
    | host(X2) != nbr_proc
    | ~ epred1_4(X3,X4,X5,X6)
    | ~ setIn(host(X1),index(down,nbr_proc))
    | ~ elem(m_Down(X2),queue(host(esk5_0))) ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_17]),c_0_15]),c_0_15]),c_0_15]),c_0_18]) ).

cnf(c_0_21,negated_conjecture,
    host(esk6_0) = nbr_proc,
    inference(rw,[status(thm)],[c_0_19,c_0_11]) ).

cnf(c_0_22,negated_conjecture,
    elem(m_Down(esk6_0),queue(host(esk5_0))),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

cnf(c_0_23,negated_conjecture,
    ( leq(host(esk8_0),X1)
    | setIn(X1,index(down,host(esk8_0)))
    | X1 = host(esk7_0)
    | ~ leq(s(zero),X1) ),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

fof(c_0_24,plain,
    ! [X69] : leq(s(zero),host(X69)),
    inference(variable_rename,[status(thm)],[axiom_02]) ).

cnf(c_0_25,negated_conjecture,
    ( host(esk5_0) != host(X1)
    | ~ epred1_4(X2,X3,X4,X5)
    | ~ setIn(host(X1),index(down,nbr_proc)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_21]),c_0_22])]) ).

cnf(c_0_26,negated_conjecture,
    ( X1 = host(esk7_0)
    | leq(nbr_proc,X1)
    | setIn(X1,index(down,nbr_proc))
    | ~ leq(s(zero),X1) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_23,c_0_11]),c_0_11]) ).

cnf(c_0_27,plain,
    leq(s(zero),host(X1)),
    inference(split_conjunct,[status(thm)],[c_0_24]) ).

cnf(c_0_28,plain,
    ( host(X1) = host(X2)
    | ~ setIn(X2,alive)
    | ~ setIn(X1,alive)
    | host(X3) != host(X2)
    | host(X4) != host(X1)
    | ~ elem(m_Down(X4),queue(host(X2)))
    | ~ elem(m_Down(X3),queue(host(X1)))
    | ~ epred1_4(X5,X6,X7,X8) ),
    inference(split_conjunct,[status(thm)],[c_0_9]) ).

cnf(c_0_29,negated_conjecture,
    ( ~ epred1_4(X1,X2,X3,X4)
    | ~ setIn(host(esk5_0),index(down,nbr_proc)) ),
    inference(er,[status(thm)],[c_0_25]) ).

cnf(c_0_30,negated_conjecture,
    ( host(X1) = host(esk7_0)
    | leq(nbr_proc,host(X1))
    | setIn(host(X1),index(down,nbr_proc)) ),
    inference(spm,[status(thm)],[c_0_26,c_0_27]) ).

fof(c_0_31,plain,
    ! [X31,X32,X33] :
      ( ( ~ elem(X31,cons(X32,X33))
        | X31 = X32
        | elem(X31,X33) )
      & ( X31 != X32
        | elem(X31,cons(X32,X33)) )
      & ( ~ elem(X31,X33)
        | elem(X31,cons(X32,X33)) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_46])])]) ).

cnf(c_0_32,negated_conjecture,
    ( host(X1) = host(esk5_0)
    | host(esk5_0) != host(X2)
    | host(X1) != host(X3)
    | ~ epred1_4(X4,X5,X6,X7)
    | ~ setIn(X1,alive)
    | ~ elem(m_Down(X3),queue(host(esk5_0)))
    | ~ elem(m_Down(X2),queue(host(X1))) ),
    inference(spm,[status(thm)],[c_0_28,c_0_13]) ).

fof(c_0_33,plain,
    ! [X59,X60] :
      ( ( ~ leq(X59,X60)
        | ~ leq(X60,X59)
        | X59 = X60 )
      & ( leq(X59,X60)
        | X59 != X60 )
      & ( leq(X60,X59)
        | X59 != X60 ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_61])])]) ).

cnf(c_0_34,negated_conjecture,
    ( host(esk7_0) = host(esk5_0)
    | leq(nbr_proc,host(esk5_0))
    | ~ epred1_4(X1,X2,X3,X4) ),
    inference(spm,[status(thm)],[c_0_29,c_0_30]) ).

cnf(c_0_35,negated_conjecture,
    epred1_4(esk1_0,esk2_0,esk4_0,esk3_0),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

fof(c_0_36,plain,
    ! [X55] : leq(host(X55),nbr_proc),
    inference(variable_rename,[status(thm)],[axiom_04]) ).

cnf(c_0_37,plain,
    ( elem(X1,cons(X3,X2))
    | ~ elem(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_31]) ).

cnf(c_0_38,negated_conjecture,
    elem(m_Down(esk7_0),esk1_0),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

cnf(c_0_39,plain,
    ( queue(host(X1)) = cons(m_Ack(X2,X3),X4)
    | ~ epred1_4(X4,X2,X3,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_9]) ).

cnf(c_0_40,negated_conjecture,
    ( host(esk5_0) != host(X1)
    | host(X2) != nbr_proc
    | ~ epred1_4(X3,X4,X5,X6)
    | ~ elem(m_Down(X2),queue(host(esk5_0)))
    | ~ elem(m_Down(X1),queue(nbr_proc)) ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_17]),c_0_15]),c_0_15]),c_0_15]),c_0_18]) ).

cnf(c_0_41,plain,
    ( X1 = X2
    | ~ leq(X1,X2)
    | ~ leq(X2,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_33]) ).

cnf(c_0_42,negated_conjecture,
    ( host(esk7_0) = host(esk5_0)
    | leq(nbr_proc,host(esk5_0)) ),
    inference(spm,[status(thm)],[c_0_34,c_0_35]) ).

cnf(c_0_43,plain,
    leq(host(X1),nbr_proc),
    inference(split_conjunct,[status(thm)],[c_0_36]) ).

cnf(c_0_44,negated_conjecture,
    elem(m_Down(esk7_0),cons(X1,esk1_0)),
    inference(spm,[status(thm)],[c_0_37,c_0_38]) ).

cnf(c_0_45,negated_conjecture,
    cons(m_Ack(esk2_0,esk4_0),esk1_0) = queue(nbr_proc),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_35]),c_0_15]) ).

cnf(c_0_46,negated_conjecture,
    ( host(esk5_0) != host(X1)
    | ~ epred1_4(X2,X3,X4,X5)
    | ~ elem(m_Down(X1),queue(nbr_proc)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_21]),c_0_22])]) ).

cnf(c_0_47,negated_conjecture,
    host(esk7_0) = host(esk5_0),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_42]),c_0_43])]),c_0_18]) ).

cnf(c_0_48,negated_conjecture,
    elem(m_Down(esk7_0),queue(nbr_proc)),
    inference(spm,[status(thm)],[c_0_44,c_0_45]) ).

cnf(c_0_49,negated_conjecture,
    ~ epred1_4(X1,X2,X3,X4),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_47]),c_0_48])]) ).

cnf(c_0_50,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[c_0_35,c_0_49]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem    : SWV473+1 : TPTP v8.1.2. Released v4.0.0.
% 0.07/0.14  % Command    : run_E %s %d THM
% 0.13/0.34  % Computer : n029.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit   : 2400
% 0.13/0.34  % WCLimit    : 300
% 0.13/0.34  % DateTime   : Tue Oct  3 03:42:22 EDT 2023
% 0.13/0.35  % CPUTime    : 
% 0.19/0.47  Running first-order model finding
% 0.19/0.47  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.dHh79U0nF3/E---3.1_4636.p
% 23.26/3.51  # Version: 3.1pre001
% 23.26/3.51  # Preprocessing class: FSLSSMSMSSSNFFN.
% 23.26/3.51  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 23.26/3.51  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 23.26/3.51  # Starting new_bool_3 with 300s (1) cores
% 23.26/3.51  # Starting new_bool_1 with 300s (1) cores
% 23.26/3.51  # Starting sh5l with 300s (1) cores
% 23.26/3.51  # new_bool_3 with pid 4714 completed with status 0
% 23.26/3.51  # Result found by new_bool_3
% 23.26/3.51  # Preprocessing class: FSLSSMSMSSSNFFN.
% 23.26/3.51  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 23.26/3.51  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 23.26/3.51  # Starting new_bool_3 with 300s (1) cores
% 23.26/3.51  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 23.26/3.51  # Search class: FGHSM-FFMM31-MFFFFFNN
% 23.26/3.51  # Scheduled 13 strats onto 1 cores with 300 seconds (300 total)
% 23.26/3.51  # Starting G-E--_107_C41_F1_PI_AE_CS_SP_PS_S4S with 23s (1) cores
% 23.26/3.51  # G-E--_107_C41_F1_PI_AE_CS_SP_PS_S4S with pid 4717 completed with status 0
% 23.26/3.51  # Result found by G-E--_107_C41_F1_PI_AE_CS_SP_PS_S4S
% 23.26/3.51  # Preprocessing class: FSLSSMSMSSSNFFN.
% 23.26/3.51  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 23.26/3.51  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 23.26/3.51  # Starting new_bool_3 with 300s (1) cores
% 23.26/3.51  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 23.26/3.51  # Search class: FGHSM-FFMM31-MFFFFFNN
% 23.26/3.51  # Scheduled 13 strats onto 1 cores with 300 seconds (300 total)
% 23.26/3.51  # Starting G-E--_107_C41_F1_PI_AE_CS_SP_PS_S4S with 23s (1) cores
% 23.26/3.51  # Preprocessing time       : 0.007 s
% 23.26/3.51  # Presaturation interreduction done
% 23.26/3.51  
% 23.26/3.51  # Proof found!
% 23.26/3.51  # SZS status Theorem
% 23.26/3.51  # SZS output start CNFRefutation
% See solution above
% 23.26/3.51  # Parsed axioms                        : 67
% 23.26/3.51  # Removed by relevancy pruning/SinE    : 14
% 23.26/3.51  # Initial clauses                      : 94
% 23.26/3.51  # Removed in clause preprocessing      : 6
% 23.26/3.51  # Initial clauses in saturation        : 88
% 23.26/3.51  # Processed clauses                    : 9334
% 23.26/3.51  # ...of these trivial                  : 311
% 23.26/3.51  # ...subsumed                          : 7242
% 23.26/3.51  # ...remaining for further processing  : 1781
% 23.26/3.51  # Other redundant clauses eliminated   : 6
% 23.26/3.51  # Clauses deleted for lack of memory   : 0
% 23.26/3.51  # Backward-subsumed                    : 151
% 23.26/3.51  # Backward-rewritten                   : 80
% 23.26/3.51  # Generated clauses                    : 317075
% 23.26/3.51  # ...of the previous two non-redundant : 149954
% 23.26/3.51  # ...aggressively subsumed             : 0
% 23.26/3.51  # Contextual simplify-reflections      : 12
% 23.26/3.51  # Paramodulations                      : 316674
% 23.26/3.51  # Factorizations                       : 377
% 23.26/3.51  # NegExts                              : 0
% 23.26/3.51  # Equation resolutions                 : 23
% 23.26/3.51  # Total rewrite steps                  : 200997
% 23.26/3.51  # Propositional unsat checks           : 0
% 23.26/3.51  #    Propositional check models        : 0
% 23.26/3.51  #    Propositional check unsatisfiable : 0
% 23.26/3.51  #    Propositional clauses             : 0
% 23.26/3.51  #    Propositional clauses after purity: 0
% 23.26/3.51  #    Propositional unsat core size     : 0
% 23.26/3.51  #    Propositional preprocessing time  : 0.000
% 23.26/3.51  #    Propositional encoding time       : 0.000
% 23.26/3.51  #    Propositional solver time         : 0.000
% 23.26/3.51  #    Success case prop preproc time    : 0.000
% 23.26/3.51  #    Success case prop encoding time   : 0.000
% 23.26/3.51  #    Success case prop solver time     : 0.000
% 23.26/3.51  # Current number of processed clauses  : 1461
% 23.26/3.51  #    Positive orientable unit clauses  : 203
% 23.26/3.51  #    Positive unorientable unit clauses: 0
% 23.26/3.51  #    Negative unit clauses             : 31
% 23.26/3.51  #    Non-unit-clauses                  : 1227
% 23.26/3.51  # Current number of unprocessed clauses: 140716
% 23.26/3.51  # ...number of literals in the above   : 536465
% 23.26/3.51  # Current number of archived formulas  : 0
% 23.26/3.51  # Current number of archived clauses   : 316
% 23.26/3.51  # Clause-clause subsumption calls (NU) : 601770
% 23.26/3.51  # Rec. Clause-clause subsumption calls : 416926
% 23.26/3.51  # Non-unit clause-clause subsumptions  : 7103
% 23.26/3.51  # Unit Clause-clause subsumption calls : 9012
% 23.26/3.51  # Rewrite failures with RHS unbound    : 0
% 23.26/3.51  # BW rewrite match attempts            : 3532
% 23.26/3.51  # BW rewrite match successes           : 4
% 23.26/3.51  # Condensation attempts                : 0
% 23.26/3.51  # Condensation successes               : 0
% 23.26/3.51  # Termbank termtop insertions          : 4925035
% 23.26/3.51  
% 23.26/3.51  # -------------------------------------------------
% 23.26/3.51  # User time                : 2.771 s
% 23.26/3.51  # System time              : 0.071 s
% 23.26/3.51  # Total time               : 2.842 s
% 23.26/3.51  # Maximum resident set size: 2100 pages
% 23.26/3.51  
% 23.26/3.51  # -------------------------------------------------
% 23.26/3.51  # User time                : 2.773 s
% 23.26/3.51  # System time              : 0.073 s
% 23.26/3.51  # Total time               : 2.845 s
% 23.26/3.51  # Maximum resident set size: 1776 pages
% 23.26/3.51  % E---3.1 exiting
%------------------------------------------------------------------------------