TSTP Solution File: SWV473+1 by iProver---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : SWV473+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n018.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 : 300s
% WCLimit  : 300s
% DateTime : Fri May  3 03:17:27 EDT 2024

% Result   : Theorem 4.21s 1.17s
% Output   : CNFRefutation 4.21s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named definition)

% Comments : 
%------------------------------------------------------------------------------
fof(f3,axiom,
    ! [X2] : leq(s(zero),host(X2)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_02) ).

fof(f5,axiom,
    ! [X2] : leq(host(X2),nbr_proc),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_04) ).

fof(f47,axiom,
    ! [X4,X5,X3] :
      ( elem(X4,cons(X5,X3))
    <=> ( elem(X4,X3)
        | X4 = X5 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_46) ).

fof(f62,axiom,
    ! [X4,X5] :
      ( ( leq(X5,X4)
        & leq(X4,X5) )
    <=> X4 = X5 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_61) ).

fof(f67,conjecture,
    ! [X11,X12,X4,X5] :
      ( ( queue(host(X4)) = cons(m_Ack(X12,X5),X11)
        & ! [X6,X15,X14,X13] :
            ( ( elec_1 = index(status,host(X13))
              & host(X13) = host(X15)
              & nbr_proc = host(X13)
              & elem(m_Down(X14),queue(host(X13)))
              & ! [X16] :
                  ( ( leq(s(zero),X16)
                    & ~ leq(host(X13),X16) )
                 => ( host(X14) = X16
                    | setIn(X16,index(down,host(X13))) ) ) )
           => ~ ( elem(m_Down(X15),queue(host(X6)))
                & setIn(X6,alive) ) )
        & ! [X6,X15,X14,X13] :
            ( ( host(X13) = host(X14)
              & host(X6) = host(X15)
              & setIn(X14,alive)
              & setIn(X6,alive)
              & host(X6) != host(X14) )
           => ~ ( setIn(host(X15),index(down,host(X14)))
                & elem(m_Down(X13),queue(host(X6))) ) )
        & ! [X6,X15,X14,X13] :
            ( ( host(X13) = host(X14)
              & host(X6) = host(X15)
              & setIn(X14,alive)
              & setIn(X6,alive)
              & host(X6) != host(X14) )
           => ~ ( elem(m_Down(X15),queue(host(X14)))
                & elem(m_Down(X13),queue(host(X6))) ) )
        & ! [X6,X14,X13] :
            ( ( host(X14) = host(index(elid,host(X13)))
              & wait = index(status,host(X13))
              & host(X6) = host(X13)
              & setIn(X13,alive)
              & host(X13) != host(X14) )
           => ~ elem(m_Down(X6),queue(host(X14))) )
        & ! [X6,X14,X13] :
            ( ( host(X14) = index(ldr,host(X13))
              & norm = index(status,host(X13))
              & host(X6) = host(X13)
              & setIn(X13,alive)
              & host(X13) != host(X14) )
           => ~ elem(m_Down(X6),queue(host(X14))) )
        & ! [X6] :
            ( ( setIn(X6,alive)
              & ( elec_2 = index(status,host(X6))
                | elec_1 = index(status,host(X6)) ) )
           => index(elid,host(X6)) = X6 )
        & ! [X6,X13] :
            ( ( host(X6) = host(X13)
              & X6 != X13 )
           => ( ~ setIn(X13,alive)
              | ~ setIn(X6,alive) ) )
        & ! [X6,X13] :
            ( nbr_proc = host(X13)
           => ~ elem(m_NotNorm(X6),queue(host(X13))) )
        & ! [X6,X13] :
            ( elem(m_Down(X13),queue(host(X6)))
           => host(X6) != host(X13) )
        & ! [X6,X13] :
            ( elem(m_Ldr(X13),queue(host(X6)))
           => ~ leq(host(X6),host(X13)) ) )
     => ( setIn(X4,alive)
       => ( ~ ( host(X5) = index(pendack,host(X4))
              & elec_2 = index(status,host(X4))
              & index(elid,host(X4)) = X12 )
         => ! [X6] :
              ( host(X4) != host(X6)
             => ! [X17,X18,X19] :
                  ( host(X4) = host(X19)
                 => ( ( elec_1 = index(status,host(X19))
                      & nbr_proc = host(X19)
                      & host(X19) = host(X17)
                      & elem(m_Down(X18),X11)
                      & ! [X16] :
                          ( ( leq(s(zero),X16)
                            & ~ leq(host(X19),X16) )
                         => ( host(X18) = X16
                            | setIn(X16,index(down,host(X19))) ) ) )
                   => ~ ( elem(m_Down(X17),queue(host(X6)))
                        & setIn(X6,alive) ) ) ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj) ).

fof(f68,negated_conjecture,
    ~ ! [X11,X12,X4,X5] :
        ( ( queue(host(X4)) = cons(m_Ack(X12,X5),X11)
          & ! [X6,X15,X14,X13] :
              ( ( elec_1 = index(status,host(X13))
                & host(X13) = host(X15)
                & nbr_proc = host(X13)
                & elem(m_Down(X14),queue(host(X13)))
                & ! [X16] :
                    ( ( leq(s(zero),X16)
                      & ~ leq(host(X13),X16) )
                   => ( host(X14) = X16
                      | setIn(X16,index(down,host(X13))) ) ) )
             => ~ ( elem(m_Down(X15),queue(host(X6)))
                  & setIn(X6,alive) ) )
          & ! [X6,X15,X14,X13] :
              ( ( host(X13) = host(X14)
                & host(X6) = host(X15)
                & setIn(X14,alive)
                & setIn(X6,alive)
                & host(X6) != host(X14) )
             => ~ ( setIn(host(X15),index(down,host(X14)))
                  & elem(m_Down(X13),queue(host(X6))) ) )
          & ! [X6,X15,X14,X13] :
              ( ( host(X13) = host(X14)
                & host(X6) = host(X15)
                & setIn(X14,alive)
                & setIn(X6,alive)
                & host(X6) != host(X14) )
             => ~ ( elem(m_Down(X15),queue(host(X14)))
                  & elem(m_Down(X13),queue(host(X6))) ) )
          & ! [X6,X14,X13] :
              ( ( host(X14) = host(index(elid,host(X13)))
                & wait = index(status,host(X13))
                & host(X6) = host(X13)
                & setIn(X13,alive)
                & host(X13) != host(X14) )
             => ~ elem(m_Down(X6),queue(host(X14))) )
          & ! [X6,X14,X13] :
              ( ( host(X14) = index(ldr,host(X13))
                & norm = index(status,host(X13))
                & host(X6) = host(X13)
                & setIn(X13,alive)
                & host(X13) != host(X14) )
             => ~ elem(m_Down(X6),queue(host(X14))) )
          & ! [X6] :
              ( ( setIn(X6,alive)
                & ( elec_2 = index(status,host(X6))
                  | elec_1 = index(status,host(X6)) ) )
             => index(elid,host(X6)) = X6 )
          & ! [X6,X13] :
              ( ( host(X6) = host(X13)
                & X6 != X13 )
             => ( ~ setIn(X13,alive)
                | ~ setIn(X6,alive) ) )
          & ! [X6,X13] :
              ( nbr_proc = host(X13)
             => ~ elem(m_NotNorm(X6),queue(host(X13))) )
          & ! [X6,X13] :
              ( elem(m_Down(X13),queue(host(X6)))
             => host(X6) != host(X13) )
          & ! [X6,X13] :
              ( elem(m_Ldr(X13),queue(host(X6)))
             => ~ leq(host(X6),host(X13)) ) )
       => ( setIn(X4,alive)
         => ( ~ ( host(X5) = index(pendack,host(X4))
                & elec_2 = index(status,host(X4))
                & index(elid,host(X4)) = X12 )
           => ! [X6] :
                ( host(X4) != host(X6)
               => ! [X17,X18,X19] :
                    ( host(X4) = host(X19)
                   => ( ( elec_1 = index(status,host(X19))
                        & nbr_proc = host(X19)
                        & host(X19) = host(X17)
                        & elem(m_Down(X18),X11)
                        & ! [X16] :
                            ( ( leq(s(zero),X16)
                              & ~ leq(host(X19),X16) )
                           => ( host(X18) = X16
                              | setIn(X16,index(down,host(X19))) ) ) )
                     => ~ ( elem(m_Down(X17),queue(host(X6)))
                          & setIn(X6,alive) ) ) ) ) ) ) ),
    inference(negated_conjecture,[],[f67]) ).

fof(f70,plain,
    ! [X0] : leq(s(zero),host(X0)),
    inference(rectify,[],[f3]) ).

fof(f71,plain,
    ! [X0] : leq(host(X0),nbr_proc),
    inference(rectify,[],[f5]) ).

fof(f105,plain,
    ! [X0,X1,X2] :
      ( elem(X0,cons(X1,X2))
    <=> ( elem(X0,X2)
        | X0 = X1 ) ),
    inference(rectify,[],[f47]) ).

fof(f119,plain,
    ! [X0,X1] :
      ( ( leq(X1,X0)
        & leq(X0,X1) )
    <=> X0 = X1 ),
    inference(rectify,[],[f62]) ).

fof(f124,plain,
    ~ ! [X0,X1,X2,X3] :
        ( ( queue(host(X2)) = cons(m_Ack(X1,X3),X0)
          & ! [X4,X5,X6,X7] :
              ( ( elec_1 = index(status,host(X7))
                & host(X5) = host(X7)
                & nbr_proc = host(X7)
                & elem(m_Down(X6),queue(host(X7)))
                & ! [X8] :
                    ( ( leq(s(zero),X8)
                      & ~ leq(host(X7),X8) )
                   => ( host(X6) = X8
                      | setIn(X8,index(down,host(X7))) ) ) )
             => ~ ( elem(m_Down(X5),queue(host(X4)))
                  & setIn(X4,alive) ) )
          & ! [X9,X10,X11,X12] :
              ( ( host(X12) = host(X11)
                & host(X9) = host(X10)
                & setIn(X11,alive)
                & setIn(X9,alive)
                & host(X11) != host(X9) )
             => ~ ( setIn(host(X10),index(down,host(X11)))
                  & elem(m_Down(X12),queue(host(X9))) ) )
          & ! [X13,X14,X15,X16] :
              ( ( host(X15) = host(X16)
                & host(X13) = host(X14)
                & setIn(X15,alive)
                & setIn(X13,alive)
                & host(X13) != host(X15) )
             => ~ ( elem(m_Down(X14),queue(host(X15)))
                  & elem(m_Down(X16),queue(host(X13))) ) )
          & ! [X17,X18,X19] :
              ( ( host(X18) = host(index(elid,host(X19)))
                & wait = index(status,host(X19))
                & host(X19) = host(X17)
                & setIn(X19,alive)
                & host(X19) != host(X18) )
             => ~ elem(m_Down(X17),queue(host(X18))) )
          & ! [X20,X21,X22] :
              ( ( host(X21) = index(ldr,host(X22))
                & norm = index(status,host(X22))
                & host(X22) = host(X20)
                & setIn(X22,alive)
                & host(X21) != host(X22) )
             => ~ elem(m_Down(X20),queue(host(X21))) )
          & ! [X23] :
              ( ( setIn(X23,alive)
                & ( elec_2 = index(status,host(X23))
                  | elec_1 = index(status,host(X23)) ) )
             => index(elid,host(X23)) = X23 )
          & ! [X24,X25] :
              ( ( host(X24) = host(X25)
                & X24 != X25 )
             => ( ~ setIn(X25,alive)
                | ~ setIn(X24,alive) ) )
          & ! [X26,X27] :
              ( nbr_proc = host(X27)
             => ~ elem(m_NotNorm(X26),queue(host(X27))) )
          & ! [X28,X29] :
              ( elem(m_Down(X29),queue(host(X28)))
             => host(X28) != host(X29) )
          & ! [X30,X31] :
              ( elem(m_Ldr(X31),queue(host(X30)))
             => ~ leq(host(X30),host(X31)) ) )
       => ( setIn(X2,alive)
         => ( ~ ( host(X3) = index(pendack,host(X2))
                & elec_2 = index(status,host(X2))
                & index(elid,host(X2)) = X1 )
           => ! [X32] :
                ( host(X2) != host(X32)
               => ! [X33,X34,X35] :
                    ( host(X2) = host(X35)
                   => ( ( elec_1 = index(status,host(X35))
                        & nbr_proc = host(X35)
                        & host(X35) = host(X33)
                        & elem(m_Down(X34),X0)
                        & ! [X36] :
                            ( ( leq(s(zero),X36)
                              & ~ leq(host(X35),X36) )
                           => ( host(X34) = X36
                              | setIn(X36,index(down,host(X35))) ) ) )
                     => ~ ( elem(m_Down(X33),queue(host(X32)))
                          & setIn(X32,alive) ) ) ) ) ) ) ),
    inference(rectify,[],[f68]) ).

fof(f140,plain,
    ? [X0,X1,X2,X3] :
      ( ? [X32] :
          ( ? [X33,X34,X35] :
              ( elem(m_Down(X33),queue(host(X32)))
              & setIn(X32,alive)
              & elec_1 = index(status,host(X35))
              & nbr_proc = host(X35)
              & host(X35) = host(X33)
              & elem(m_Down(X34),X0)
              & ! [X36] :
                  ( host(X34) = X36
                  | setIn(X36,index(down,host(X35)))
                  | ~ leq(s(zero),X36)
                  | leq(host(X35),X36) )
              & host(X2) = host(X35) )
          & host(X2) != host(X32) )
      & ( host(X3) != index(pendack,host(X2))
        | elec_2 != index(status,host(X2))
        | index(elid,host(X2)) != X1 )
      & setIn(X2,alive)
      & queue(host(X2)) = cons(m_Ack(X1,X3),X0)
      & ! [X4,X5,X6,X7] :
          ( ~ elem(m_Down(X5),queue(host(X4)))
          | ~ setIn(X4,alive)
          | elec_1 != index(status,host(X7))
          | host(X5) != host(X7)
          | nbr_proc != host(X7)
          | ~ elem(m_Down(X6),queue(host(X7)))
          | ? [X8] :
              ( host(X6) != X8
              & ~ setIn(X8,index(down,host(X7)))
              & leq(s(zero),X8)
              & ~ leq(host(X7),X8) ) )
      & ! [X9,X10,X11,X12] :
          ( ~ setIn(host(X10),index(down,host(X11)))
          | ~ elem(m_Down(X12),queue(host(X9)))
          | host(X12) != host(X11)
          | host(X9) != host(X10)
          | ~ setIn(X11,alive)
          | ~ setIn(X9,alive)
          | host(X11) = host(X9) )
      & ! [X13,X14,X15,X16] :
          ( ~ elem(m_Down(X14),queue(host(X15)))
          | ~ elem(m_Down(X16),queue(host(X13)))
          | host(X15) != host(X16)
          | host(X13) != host(X14)
          | ~ setIn(X15,alive)
          | ~ setIn(X13,alive)
          | host(X13) = host(X15) )
      & ! [X17,X18,X19] :
          ( ~ elem(m_Down(X17),queue(host(X18)))
          | host(X18) != host(index(elid,host(X19)))
          | wait != index(status,host(X19))
          | host(X19) != host(X17)
          | ~ setIn(X19,alive)
          | host(X19) = host(X18) )
      & ! [X20,X21,X22] :
          ( ~ elem(m_Down(X20),queue(host(X21)))
          | host(X21) != index(ldr,host(X22))
          | norm != index(status,host(X22))
          | host(X22) != host(X20)
          | ~ setIn(X22,alive)
          | host(X21) = host(X22) )
      & ! [X23] :
          ( index(elid,host(X23)) = X23
          | ~ setIn(X23,alive)
          | ( elec_2 != index(status,host(X23))
            & elec_1 != index(status,host(X23)) ) )
      & ! [X24,X25] :
          ( ~ setIn(X25,alive)
          | ~ setIn(X24,alive)
          | host(X24) != host(X25)
          | X24 = X25 )
      & ! [X26,X27] :
          ( ~ elem(m_NotNorm(X26),queue(host(X27)))
          | nbr_proc != host(X27) )
      & ! [X28,X29] :
          ( host(X28) != host(X29)
          | ~ elem(m_Down(X29),queue(host(X28))) )
      & ! [X30,X31] :
          ( ~ leq(host(X30),host(X31))
          | ~ elem(m_Ldr(X31),queue(host(X30))) ) ),
    inference(ennf_transformation,[],[f124]) ).

fof(f141,plain,
    ? [X0,X1,X2,X3] :
      ( ? [X32] :
          ( ? [X33,X34,X35] :
              ( elem(m_Down(X33),queue(host(X32)))
              & setIn(X32,alive)
              & elec_1 = index(status,host(X35))
              & nbr_proc = host(X35)
              & host(X35) = host(X33)
              & elem(m_Down(X34),X0)
              & ! [X36] :
                  ( host(X34) = X36
                  | setIn(X36,index(down,host(X35)))
                  | ~ leq(s(zero),X36)
                  | leq(host(X35),X36) )
              & host(X2) = host(X35) )
          & host(X2) != host(X32) )
      & ( host(X3) != index(pendack,host(X2))
        | elec_2 != index(status,host(X2))
        | index(elid,host(X2)) != X1 )
      & setIn(X2,alive)
      & queue(host(X2)) = cons(m_Ack(X1,X3),X0)
      & ! [X4,X5,X6,X7] :
          ( ~ elem(m_Down(X5),queue(host(X4)))
          | ~ setIn(X4,alive)
          | elec_1 != index(status,host(X7))
          | host(X5) != host(X7)
          | nbr_proc != host(X7)
          | ~ elem(m_Down(X6),queue(host(X7)))
          | ? [X8] :
              ( host(X6) != X8
              & ~ setIn(X8,index(down,host(X7)))
              & leq(s(zero),X8)
              & ~ leq(host(X7),X8) ) )
      & ! [X9,X10,X11,X12] :
          ( ~ setIn(host(X10),index(down,host(X11)))
          | ~ elem(m_Down(X12),queue(host(X9)))
          | host(X12) != host(X11)
          | host(X9) != host(X10)
          | ~ setIn(X11,alive)
          | ~ setIn(X9,alive)
          | host(X11) = host(X9) )
      & ! [X13,X14,X15,X16] :
          ( ~ elem(m_Down(X14),queue(host(X15)))
          | ~ elem(m_Down(X16),queue(host(X13)))
          | host(X15) != host(X16)
          | host(X13) != host(X14)
          | ~ setIn(X15,alive)
          | ~ setIn(X13,alive)
          | host(X13) = host(X15) )
      & ! [X17,X18,X19] :
          ( ~ elem(m_Down(X17),queue(host(X18)))
          | host(X18) != host(index(elid,host(X19)))
          | wait != index(status,host(X19))
          | host(X19) != host(X17)
          | ~ setIn(X19,alive)
          | host(X19) = host(X18) )
      & ! [X20,X21,X22] :
          ( ~ elem(m_Down(X20),queue(host(X21)))
          | host(X21) != index(ldr,host(X22))
          | norm != index(status,host(X22))
          | host(X22) != host(X20)
          | ~ setIn(X22,alive)
          | host(X21) = host(X22) )
      & ! [X23] :
          ( index(elid,host(X23)) = X23
          | ~ setIn(X23,alive)
          | ( elec_2 != index(status,host(X23))
            & elec_1 != index(status,host(X23)) ) )
      & ! [X24,X25] :
          ( ~ setIn(X25,alive)
          | ~ setIn(X24,alive)
          | host(X24) != host(X25)
          | X24 = X25 )
      & ! [X26,X27] :
          ( ~ elem(m_NotNorm(X26),queue(host(X27)))
          | nbr_proc != host(X27) )
      & ! [X28,X29] :
          ( host(X28) != host(X29)
          | ~ elem(m_Down(X29),queue(host(X28))) )
      & ! [X30,X31] :
          ( ~ leq(host(X30),host(X31))
          | ~ elem(m_Ldr(X31),queue(host(X30))) ) ),
    inference(flattening,[],[f140]) ).

fof(f147,plain,
    ! [X0,X1,X2] :
      ( ( elem(X0,cons(X1,X2))
        | ( ~ elem(X0,X2)
          & X0 != X1 ) )
      & ( elem(X0,X2)
        | X0 = X1
        | ~ elem(X0,cons(X1,X2)) ) ),
    inference(nnf_transformation,[],[f105]) ).

fof(f148,plain,
    ! [X0,X1,X2] :
      ( ( elem(X0,cons(X1,X2))
        | ( ~ elem(X0,X2)
          & X0 != X1 ) )
      & ( elem(X0,X2)
        | X0 = X1
        | ~ elem(X0,cons(X1,X2)) ) ),
    inference(flattening,[],[f147]) ).

fof(f165,plain,
    ! [X0,X1] :
      ( ( ( leq(X1,X0)
          & leq(X0,X1) )
        | X0 != X1 )
      & ( X0 = X1
        | ~ leq(X1,X0)
        | ~ leq(X0,X1) ) ),
    inference(nnf_transformation,[],[f119]) ).

fof(f166,plain,
    ! [X0,X1] :
      ( ( ( leq(X1,X0)
          & leq(X0,X1) )
        | X0 != X1 )
      & ( X0 = X1
        | ~ leq(X1,X0)
        | ~ leq(X0,X1) ) ),
    inference(flattening,[],[f165]) ).

fof(f170,plain,
    ? [X0,X1,X2,X3] :
      ( ? [X4] :
          ( ? [X5,X6,X7] :
              ( elem(m_Down(X5),queue(host(X4)))
              & setIn(X4,alive)
              & elec_1 = index(status,host(X7))
              & nbr_proc = host(X7)
              & host(X5) = host(X7)
              & elem(m_Down(X6),X0)
              & ! [X8] :
                  ( host(X6) = X8
                  | setIn(X8,index(down,host(X7)))
                  | ~ leq(s(zero),X8)
                  | leq(host(X7),X8) )
              & host(X2) = host(X7) )
          & host(X2) != host(X4) )
      & ( host(X3) != index(pendack,host(X2))
        | elec_2 != index(status,host(X2))
        | index(elid,host(X2)) != X1 )
      & setIn(X2,alive)
      & queue(host(X2)) = cons(m_Ack(X1,X3),X0)
      & ! [X9,X10,X11,X12] :
          ( ~ elem(m_Down(X10),queue(host(X9)))
          | ~ setIn(X9,alive)
          | elec_1 != index(status,host(X12))
          | host(X12) != host(X10)
          | nbr_proc != host(X12)
          | ~ elem(m_Down(X11),queue(host(X12)))
          | ? [X13] :
              ( host(X11) != X13
              & ~ setIn(X13,index(down,host(X12)))
              & leq(s(zero),X13)
              & ~ leq(host(X12),X13) ) )
      & ! [X14,X15,X16,X17] :
          ( ~ setIn(host(X15),index(down,host(X16)))
          | ~ elem(m_Down(X17),queue(host(X14)))
          | host(X17) != host(X16)
          | host(X14) != host(X15)
          | ~ setIn(X16,alive)
          | ~ setIn(X14,alive)
          | host(X14) = host(X16) )
      & ! [X18,X19,X20,X21] :
          ( ~ elem(m_Down(X19),queue(host(X20)))
          | ~ elem(m_Down(X21),queue(host(X18)))
          | host(X21) != host(X20)
          | host(X19) != host(X18)
          | ~ setIn(X20,alive)
          | ~ setIn(X18,alive)
          | host(X18) = host(X20) )
      & ! [X22,X23,X24] :
          ( ~ elem(m_Down(X22),queue(host(X23)))
          | host(X23) != host(index(elid,host(X24)))
          | wait != index(status,host(X24))
          | host(X22) != host(X24)
          | ~ setIn(X24,alive)
          | host(X23) = host(X24) )
      & ! [X25,X26,X27] :
          ( ~ elem(m_Down(X25),queue(host(X26)))
          | host(X26) != index(ldr,host(X27))
          | norm != index(status,host(X27))
          | host(X25) != host(X27)
          | ~ setIn(X27,alive)
          | host(X27) = host(X26) )
      & ! [X28] :
          ( index(elid,host(X28)) = X28
          | ~ setIn(X28,alive)
          | ( elec_2 != index(status,host(X28))
            & elec_1 != index(status,host(X28)) ) )
      & ! [X29,X30] :
          ( ~ setIn(X30,alive)
          | ~ setIn(X29,alive)
          | host(X29) != host(X30)
          | X29 = X30 )
      & ! [X31,X32] :
          ( ~ elem(m_NotNorm(X31),queue(host(X32)))
          | nbr_proc != host(X32) )
      & ! [X33,X34] :
          ( host(X33) != host(X34)
          | ~ elem(m_Down(X34),queue(host(X33))) )
      & ! [X35,X36] :
          ( ~ leq(host(X35),host(X36))
          | ~ elem(m_Ldr(X36),queue(host(X35))) ) ),
    inference(rectify,[],[f141]) ).

fof(f171,plain,
    ( ? [X0,X1,X2,X3] :
        ( ? [X4] :
            ( ? [X5,X6,X7] :
                ( elem(m_Down(X5),queue(host(X4)))
                & setIn(X4,alive)
                & elec_1 = index(status,host(X7))
                & nbr_proc = host(X7)
                & host(X5) = host(X7)
                & elem(m_Down(X6),X0)
                & ! [X8] :
                    ( host(X6) = X8
                    | setIn(X8,index(down,host(X7)))
                    | ~ leq(s(zero),X8)
                    | leq(host(X7),X8) )
                & host(X2) = host(X7) )
            & host(X2) != host(X4) )
        & ( host(X3) != index(pendack,host(X2))
          | elec_2 != index(status,host(X2))
          | index(elid,host(X2)) != X1 )
        & setIn(X2,alive)
        & queue(host(X2)) = cons(m_Ack(X1,X3),X0)
        & ! [X9,X10,X11,X12] :
            ( ~ elem(m_Down(X10),queue(host(X9)))
            | ~ setIn(X9,alive)
            | elec_1 != index(status,host(X12))
            | host(X12) != host(X10)
            | nbr_proc != host(X12)
            | ~ elem(m_Down(X11),queue(host(X12)))
            | ? [X13] :
                ( host(X11) != X13
                & ~ setIn(X13,index(down,host(X12)))
                & leq(s(zero),X13)
                & ~ leq(host(X12),X13) ) )
        & ! [X14,X15,X16,X17] :
            ( ~ setIn(host(X15),index(down,host(X16)))
            | ~ elem(m_Down(X17),queue(host(X14)))
            | host(X17) != host(X16)
            | host(X14) != host(X15)
            | ~ setIn(X16,alive)
            | ~ setIn(X14,alive)
            | host(X14) = host(X16) )
        & ! [X18,X19,X20,X21] :
            ( ~ elem(m_Down(X19),queue(host(X20)))
            | ~ elem(m_Down(X21),queue(host(X18)))
            | host(X21) != host(X20)
            | host(X19) != host(X18)
            | ~ setIn(X20,alive)
            | ~ setIn(X18,alive)
            | host(X18) = host(X20) )
        & ! [X22,X23,X24] :
            ( ~ elem(m_Down(X22),queue(host(X23)))
            | host(X23) != host(index(elid,host(X24)))
            | wait != index(status,host(X24))
            | host(X22) != host(X24)
            | ~ setIn(X24,alive)
            | host(X23) = host(X24) )
        & ! [X25,X26,X27] :
            ( ~ elem(m_Down(X25),queue(host(X26)))
            | host(X26) != index(ldr,host(X27))
            | norm != index(status,host(X27))
            | host(X25) != host(X27)
            | ~ setIn(X27,alive)
            | host(X27) = host(X26) )
        & ! [X28] :
            ( index(elid,host(X28)) = X28
            | ~ setIn(X28,alive)
            | ( elec_2 != index(status,host(X28))
              & elec_1 != index(status,host(X28)) ) )
        & ! [X29,X30] :
            ( ~ setIn(X30,alive)
            | ~ setIn(X29,alive)
            | host(X29) != host(X30)
            | X29 = X30 )
        & ! [X31,X32] :
            ( ~ elem(m_NotNorm(X31),queue(host(X32)))
            | nbr_proc != host(X32) )
        & ! [X33,X34] :
            ( host(X33) != host(X34)
            | ~ elem(m_Down(X34),queue(host(X33))) )
        & ! [X35,X36] :
            ( ~ leq(host(X35),host(X36))
            | ~ elem(m_Ldr(X36),queue(host(X35))) ) )
   => ( ? [X4] :
          ( ? [X7,X6,X5] :
              ( elem(m_Down(X5),queue(host(X4)))
              & setIn(X4,alive)
              & elec_1 = index(status,host(X7))
              & nbr_proc = host(X7)
              & host(X5) = host(X7)
              & elem(m_Down(X6),sK3)
              & ! [X8] :
                  ( host(X6) = X8
                  | setIn(X8,index(down,host(X7)))
                  | ~ leq(s(zero),X8)
                  | leq(host(X7),X8) )
              & host(X7) = host(sK5) )
          & host(X4) != host(sK5) )
      & ( host(sK6) != index(pendack,host(sK5))
        | elec_2 != index(status,host(sK5))
        | sK4 != index(elid,host(sK5)) )
      & setIn(sK5,alive)
      & queue(host(sK5)) = cons(m_Ack(sK4,sK6),sK3)
      & ! [X9,X10,X11,X12] :
          ( ~ elem(m_Down(X10),queue(host(X9)))
          | ~ setIn(X9,alive)
          | elec_1 != index(status,host(X12))
          | host(X12) != host(X10)
          | nbr_proc != host(X12)
          | ~ elem(m_Down(X11),queue(host(X12)))
          | ? [X13] :
              ( host(X11) != X13
              & ~ setIn(X13,index(down,host(X12)))
              & leq(s(zero),X13)
              & ~ leq(host(X12),X13) ) )
      & ! [X14,X15,X16,X17] :
          ( ~ setIn(host(X15),index(down,host(X16)))
          | ~ elem(m_Down(X17),queue(host(X14)))
          | host(X17) != host(X16)
          | host(X14) != host(X15)
          | ~ setIn(X16,alive)
          | ~ setIn(X14,alive)
          | host(X14) = host(X16) )
      & ! [X18,X19,X20,X21] :
          ( ~ elem(m_Down(X19),queue(host(X20)))
          | ~ elem(m_Down(X21),queue(host(X18)))
          | host(X21) != host(X20)
          | host(X19) != host(X18)
          | ~ setIn(X20,alive)
          | ~ setIn(X18,alive)
          | host(X18) = host(X20) )
      & ! [X22,X23,X24] :
          ( ~ elem(m_Down(X22),queue(host(X23)))
          | host(X23) != host(index(elid,host(X24)))
          | wait != index(status,host(X24))
          | host(X22) != host(X24)
          | ~ setIn(X24,alive)
          | host(X23) = host(X24) )
      & ! [X25,X26,X27] :
          ( ~ elem(m_Down(X25),queue(host(X26)))
          | host(X26) != index(ldr,host(X27))
          | norm != index(status,host(X27))
          | host(X25) != host(X27)
          | ~ setIn(X27,alive)
          | host(X27) = host(X26) )
      & ! [X28] :
          ( index(elid,host(X28)) = X28
          | ~ setIn(X28,alive)
          | ( elec_2 != index(status,host(X28))
            & elec_1 != index(status,host(X28)) ) )
      & ! [X29,X30] :
          ( ~ setIn(X30,alive)
          | ~ setIn(X29,alive)
          | host(X29) != host(X30)
          | X29 = X30 )
      & ! [X31,X32] :
          ( ~ elem(m_NotNorm(X31),queue(host(X32)))
          | nbr_proc != host(X32) )
      & ! [X33,X34] :
          ( host(X33) != host(X34)
          | ~ elem(m_Down(X34),queue(host(X33))) )
      & ! [X35,X36] :
          ( ~ leq(host(X35),host(X36))
          | ~ elem(m_Ldr(X36),queue(host(X35))) ) ) ),
    introduced(choice_axiom,[]) ).

fof(f172,plain,
    ( ? [X4] :
        ( ? [X7,X6,X5] :
            ( elem(m_Down(X5),queue(host(X4)))
            & setIn(X4,alive)
            & elec_1 = index(status,host(X7))
            & nbr_proc = host(X7)
            & host(X5) = host(X7)
            & elem(m_Down(X6),sK3)
            & ! [X8] :
                ( host(X6) = X8
                | setIn(X8,index(down,host(X7)))
                | ~ leq(s(zero),X8)
                | leq(host(X7),X8) )
            & host(X7) = host(sK5) )
        & host(X4) != host(sK5) )
   => ( ? [X7,X6,X5] :
          ( elem(m_Down(X5),queue(host(sK7)))
          & setIn(sK7,alive)
          & elec_1 = index(status,host(X7))
          & nbr_proc = host(X7)
          & host(X5) = host(X7)
          & elem(m_Down(X6),sK3)
          & ! [X8] :
              ( host(X6) = X8
              | setIn(X8,index(down,host(X7)))
              | ~ leq(s(zero),X8)
              | leq(host(X7),X8) )
          & host(X7) = host(sK5) )
      & host(sK5) != host(sK7) ) ),
    introduced(choice_axiom,[]) ).

fof(f173,plain,
    ( ? [X7,X6,X5] :
        ( elem(m_Down(X5),queue(host(sK7)))
        & setIn(sK7,alive)
        & elec_1 = index(status,host(X7))
        & nbr_proc = host(X7)
        & host(X5) = host(X7)
        & elem(m_Down(X6),sK3)
        & ! [X8] :
            ( host(X6) = X8
            | setIn(X8,index(down,host(X7)))
            | ~ leq(s(zero),X8)
            | leq(host(X7),X8) )
        & host(X7) = host(sK5) )
   => ( elem(m_Down(sK8),queue(host(sK7)))
      & setIn(sK7,alive)
      & elec_1 = index(status,host(sK10))
      & nbr_proc = host(sK10)
      & host(sK10) = host(sK8)
      & elem(m_Down(sK9),sK3)
      & ! [X8] :
          ( host(sK9) = X8
          | setIn(X8,index(down,host(sK10)))
          | ~ leq(s(zero),X8)
          | leq(host(sK10),X8) )
      & host(sK5) = host(sK10) ) ),
    introduced(choice_axiom,[]) ).

fof(f174,plain,
    ! [X11,X12] :
      ( ? [X13] :
          ( host(X11) != X13
          & ~ setIn(X13,index(down,host(X12)))
          & leq(s(zero),X13)
          & ~ leq(host(X12),X13) )
     => ( host(X11) != sK11(X11,X12)
        & ~ setIn(sK11(X11,X12),index(down,host(X12)))
        & leq(s(zero),sK11(X11,X12))
        & ~ leq(host(X12),sK11(X11,X12)) ) ),
    introduced(choice_axiom,[]) ).

fof(f175,plain,
    ( elem(m_Down(sK8),queue(host(sK7)))
    & setIn(sK7,alive)
    & elec_1 = index(status,host(sK10))
    & nbr_proc = host(sK10)
    & host(sK10) = host(sK8)
    & elem(m_Down(sK9),sK3)
    & ! [X8] :
        ( host(sK9) = X8
        | setIn(X8,index(down,host(sK10)))
        | ~ leq(s(zero),X8)
        | leq(host(sK10),X8) )
    & host(sK5) = host(sK10)
    & host(sK5) != host(sK7)
    & ( host(sK6) != index(pendack,host(sK5))
      | elec_2 != index(status,host(sK5))
      | sK4 != index(elid,host(sK5)) )
    & setIn(sK5,alive)
    & queue(host(sK5)) = cons(m_Ack(sK4,sK6),sK3)
    & ! [X9,X10,X11,X12] :
        ( ~ elem(m_Down(X10),queue(host(X9)))
        | ~ setIn(X9,alive)
        | elec_1 != index(status,host(X12))
        | host(X12) != host(X10)
        | nbr_proc != host(X12)
        | ~ elem(m_Down(X11),queue(host(X12)))
        | ( host(X11) != sK11(X11,X12)
          & ~ setIn(sK11(X11,X12),index(down,host(X12)))
          & leq(s(zero),sK11(X11,X12))
          & ~ leq(host(X12),sK11(X11,X12)) ) )
    & ! [X14,X15,X16,X17] :
        ( ~ setIn(host(X15),index(down,host(X16)))
        | ~ elem(m_Down(X17),queue(host(X14)))
        | host(X17) != host(X16)
        | host(X14) != host(X15)
        | ~ setIn(X16,alive)
        | ~ setIn(X14,alive)
        | host(X14) = host(X16) )
    & ! [X18,X19,X20,X21] :
        ( ~ elem(m_Down(X19),queue(host(X20)))
        | ~ elem(m_Down(X21),queue(host(X18)))
        | host(X21) != host(X20)
        | host(X19) != host(X18)
        | ~ setIn(X20,alive)
        | ~ setIn(X18,alive)
        | host(X18) = host(X20) )
    & ! [X22,X23,X24] :
        ( ~ elem(m_Down(X22),queue(host(X23)))
        | host(X23) != host(index(elid,host(X24)))
        | wait != index(status,host(X24))
        | host(X22) != host(X24)
        | ~ setIn(X24,alive)
        | host(X23) = host(X24) )
    & ! [X25,X26,X27] :
        ( ~ elem(m_Down(X25),queue(host(X26)))
        | host(X26) != index(ldr,host(X27))
        | norm != index(status,host(X27))
        | host(X25) != host(X27)
        | ~ setIn(X27,alive)
        | host(X27) = host(X26) )
    & ! [X28] :
        ( index(elid,host(X28)) = X28
        | ~ setIn(X28,alive)
        | ( elec_2 != index(status,host(X28))
          & elec_1 != index(status,host(X28)) ) )
    & ! [X29,X30] :
        ( ~ setIn(X30,alive)
        | ~ setIn(X29,alive)
        | host(X29) != host(X30)
        | X29 = X30 )
    & ! [X31,X32] :
        ( ~ elem(m_NotNorm(X31),queue(host(X32)))
        | nbr_proc != host(X32) )
    & ! [X33,X34] :
        ( host(X33) != host(X34)
        | ~ elem(m_Down(X34),queue(host(X33))) )
    & ! [X35,X36] :
        ( ~ leq(host(X35),host(X36))
        | ~ elem(m_Ldr(X36),queue(host(X35))) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK3,sK4,sK5,sK6,sK7,sK8,sK9,sK10,sK11])],[f170,f174,f173,f172,f171]) ).

fof(f179,plain,
    ! [X0] : leq(s(zero),host(X0)),
    inference(cnf_transformation,[],[f70]) ).

fof(f181,plain,
    ! [X0] : leq(host(X0),nbr_proc),
    inference(cnf_transformation,[],[f71]) ).

fof(f230,plain,
    ! [X2,X0,X1] :
      ( elem(X0,cons(X1,X2))
      | ~ elem(X0,X2) ),
    inference(cnf_transformation,[],[f148]) ).

fof(f262,plain,
    ! [X0,X1] :
      ( X0 = X1
      | ~ leq(X1,X0)
      | ~ leq(X0,X1) ),
    inference(cnf_transformation,[],[f166]) ).

fof(f280,plain,
    ! [X21,X18,X19,X20] :
      ( ~ elem(m_Down(X19),queue(host(X20)))
      | ~ elem(m_Down(X21),queue(host(X18)))
      | host(X21) != host(X20)
      | host(X19) != host(X18)
      | ~ setIn(X20,alive)
      | ~ setIn(X18,alive)
      | host(X18) = host(X20) ),
    inference(cnf_transformation,[],[f175]) ).

fof(f281,plain,
    ! [X16,X14,X17,X15] :
      ( ~ setIn(host(X15),index(down,host(X16)))
      | ~ elem(m_Down(X17),queue(host(X14)))
      | host(X17) != host(X16)
      | host(X14) != host(X15)
      | ~ setIn(X16,alive)
      | ~ setIn(X14,alive)
      | host(X14) = host(X16) ),
    inference(cnf_transformation,[],[f175]) ).

fof(f286,plain,
    queue(host(sK5)) = cons(m_Ack(sK4,sK6),sK3),
    inference(cnf_transformation,[],[f175]) ).

fof(f287,plain,
    setIn(sK5,alive),
    inference(cnf_transformation,[],[f175]) ).

fof(f289,plain,
    host(sK5) != host(sK7),
    inference(cnf_transformation,[],[f175]) ).

fof(f290,plain,
    host(sK5) = host(sK10),
    inference(cnf_transformation,[],[f175]) ).

fof(f291,plain,
    ! [X8] :
      ( host(sK9) = X8
      | setIn(X8,index(down,host(sK10)))
      | ~ leq(s(zero),X8)
      | leq(host(sK10),X8) ),
    inference(cnf_transformation,[],[f175]) ).

fof(f292,plain,
    elem(m_Down(sK9),sK3),
    inference(cnf_transformation,[],[f175]) ).

fof(f293,plain,
    host(sK10) = host(sK8),
    inference(cnf_transformation,[],[f175]) ).

fof(f294,plain,
    nbr_proc = host(sK10),
    inference(cnf_transformation,[],[f175]) ).

fof(f296,plain,
    setIn(sK7,alive),
    inference(cnf_transformation,[],[f175]) ).

fof(f297,plain,
    elem(m_Down(sK8),queue(host(sK7))),
    inference(cnf_transformation,[],[f175]) ).

cnf(c_52,plain,
    leq(s(zero),host(X0)),
    inference(cnf_transformation,[],[f179]) ).

cnf(c_54,plain,
    leq(host(X0),nbr_proc),
    inference(cnf_transformation,[],[f181]) ).

cnf(c_95,plain,
    ( ~ elem(X0,X1)
    | elem(X0,cons(X2,X1)) ),
    inference(cnf_transformation,[],[f230]) ).

cnf(c_131,plain,
    ( ~ leq(X0,X1)
    | ~ leq(X1,X0)
    | X0 = X1 ),
    inference(cnf_transformation,[],[f262]) ).

cnf(c_139,negated_conjecture,
    elem(m_Down(sK8),queue(host(sK7))),
    inference(cnf_transformation,[],[f297]) ).

cnf(c_140,negated_conjecture,
    setIn(sK7,alive),
    inference(cnf_transformation,[],[f296]) ).

cnf(c_142,negated_conjecture,
    host(sK10) = nbr_proc,
    inference(cnf_transformation,[],[f294]) ).

cnf(c_143,negated_conjecture,
    host(sK8) = host(sK10),
    inference(cnf_transformation,[],[f293]) ).

cnf(c_144,negated_conjecture,
    elem(m_Down(sK9),sK3),
    inference(cnf_transformation,[],[f292]) ).

cnf(c_145,negated_conjecture,
    ( ~ leq(s(zero),X0)
    | host(sK9) = X0
    | setIn(X0,index(down,host(sK10)))
    | leq(host(sK10),X0) ),
    inference(cnf_transformation,[],[f291]) ).

cnf(c_146,negated_conjecture,
    host(sK10) = host(sK5),
    inference(cnf_transformation,[],[f290]) ).

cnf(c_147,negated_conjecture,
    host(sK7) != host(sK5),
    inference(cnf_transformation,[],[f289]) ).

cnf(c_149,negated_conjecture,
    setIn(sK5,alive),
    inference(cnf_transformation,[],[f287]) ).

cnf(c_150,negated_conjecture,
    cons(m_Ack(sK4,sK6),sK3) = queue(host(sK5)),
    inference(cnf_transformation,[],[f286]) ).

cnf(c_155,negated_conjecture,
    ( host(X0) != host(X1)
    | host(X2) != host(X3)
    | ~ setIn(host(X3),index(down,host(X1)))
    | ~ elem(m_Down(X0),queue(host(X2)))
    | ~ setIn(X1,alive)
    | ~ setIn(X2,alive)
    | host(X1) = host(X2) ),
    inference(cnf_transformation,[],[f281]) ).

cnf(c_156,negated_conjecture,
    ( host(X0) != host(X1)
    | host(X2) != host(X3)
    | ~ elem(m_Down(X0),queue(host(X3)))
    | ~ elem(m_Down(X2),queue(host(X1)))
    | ~ setIn(X1,alive)
    | ~ setIn(X3,alive)
    | host(X1) = host(X3) ),
    inference(cnf_transformation,[],[f280]) ).

cnf(c_984,plain,
    host(sK5) = nbr_proc,
    inference(light_normalisation,[status(thm)],[c_146,c_142]) ).

cnf(c_985,plain,
    host(sK8) = nbr_proc,
    inference(light_normalisation,[status(thm)],[c_143,c_142]) ).

cnf(c_988,plain,
    host(sK7) != nbr_proc,
    inference(light_normalisation,[status(thm)],[c_147,c_984]) ).

cnf(c_1039,plain,
    cons(m_Ack(sK4,sK6),sK3) = queue(nbr_proc),
    inference(light_normalisation,[status(thm)],[c_150,c_984]) ).

cnf(c_1204,plain,
    ( ~ leq(s(zero),X0)
    | host(sK9) = X0
    | setIn(X0,index(down,nbr_proc))
    | leq(nbr_proc,X0) ),
    inference(light_normalisation,[status(thm)],[c_145,c_142]) ).

cnf(c_2491,plain,
    s(zero) = sP0_iProver_def,
    definition ).

cnf(c_2492,plain,
    m_Down(sK9) = sP1_iProver_def,
    definition ).

cnf(c_2493,plain,
    host(sK10) = sP2_iProver_def,
    definition ).

cnf(c_2494,plain,
    m_Down(sK8) = sP3_iProver_def,
    definition ).

cnf(c_2495,plain,
    host(sK7) = sP4_iProver_def,
    definition ).

cnf(c_2496,plain,
    queue(sP4_iProver_def) = sP5_iProver_def,
    definition ).

cnf(c_2505,negated_conjecture,
    ( host(X0) != host(X1)
    | host(X2) != host(X3)
    | ~ elem(m_Down(X0),queue(host(X3)))
    | ~ elem(m_Down(X2),queue(host(X1)))
    | ~ setIn(X1,alive)
    | ~ setIn(X3,alive)
    | host(X1) = host(X3) ),
    inference(demodulation,[status(thm)],[c_156]) ).

cnf(c_2506,negated_conjecture,
    ( host(X0) != host(X1)
    | host(X2) != host(X3)
    | ~ setIn(host(X3),index(down,host(X1)))
    | ~ elem(m_Down(X0),queue(host(X2)))
    | ~ setIn(X1,alive)
    | ~ setIn(X2,alive)
    | host(X1) = host(X2) ),
    inference(demodulation,[status(thm)],[c_155]) ).

cnf(c_2511,negated_conjecture,
    setIn(sK5,alive),
    inference(demodulation,[status(thm)],[c_149]) ).

cnf(c_2512,negated_conjecture,
    elem(sP1_iProver_def,sK3),
    inference(demodulation,[status(thm)],[c_144,c_2492]) ).

cnf(c_2513,negated_conjecture,
    sP2_iProver_def = nbr_proc,
    inference(demodulation,[status(thm)],[c_142,c_2493]) ).

cnf(c_2514,negated_conjecture,
    setIn(sK7,alive),
    inference(demodulation,[status(thm)],[c_140]) ).

cnf(c_2515,negated_conjecture,
    elem(sP3_iProver_def,sP5_iProver_def),
    inference(demodulation,[status(thm)],[c_139,c_2495,c_2496,c_2494]) ).

cnf(c_4410,plain,
    host(sK5) = sP2_iProver_def,
    inference(light_normalisation,[status(thm)],[c_984,c_2513]) ).

cnf(c_4429,plain,
    leq(host(X0),sP2_iProver_def),
    inference(light_normalisation,[status(thm)],[c_54,c_2513]) ).

cnf(c_4569,plain,
    ( host(X0) != sP2_iProver_def
    | host(X1) != host(X2)
    | ~ setIn(host(X2),index(down,host(sK5)))
    | ~ elem(m_Down(X0),queue(host(X1)))
    | ~ setIn(X1,alive)
    | ~ setIn(sK5,alive)
    | host(X1) = host(sK5) ),
    inference(superposition,[status(thm)],[c_4410,c_2506]) ).

cnf(c_4577,plain,
    ( host(X0) != sP2_iProver_def
    | host(X1) != host(X2)
    | ~ elem(m_Down(X0),queue(host(X1)))
    | ~ setIn(host(X2),index(down,sP2_iProver_def))
    | ~ setIn(X1,alive)
    | ~ setIn(sK5,alive)
    | host(X1) = sP2_iProver_def ),
    inference(light_normalisation,[status(thm)],[c_4569,c_4410]) ).

cnf(c_4578,plain,
    ( host(X0) != sP2_iProver_def
    | host(X1) != host(X2)
    | ~ elem(m_Down(X0),queue(host(X1)))
    | ~ setIn(host(X2),index(down,sP2_iProver_def))
    | ~ setIn(X1,alive)
    | host(X1) = sP2_iProver_def ),
    inference(forward_subsumption_resolution,[status(thm)],[c_4577,c_2511]) ).

cnf(c_4616,plain,
    host(sK8) = sP2_iProver_def,
    inference(light_normalisation,[status(thm)],[c_985,c_2513]) ).

cnf(c_4707,plain,
    leq(sP0_iProver_def,host(X0)),
    inference(light_normalisation,[status(thm)],[c_52,c_2491]) ).

cnf(c_4809,plain,
    sP2_iProver_def != sP4_iProver_def,
    inference(light_normalisation,[status(thm)],[c_988,c_2495,c_2513]) ).

cnf(c_4814,plain,
    cons(m_Ack(sK4,sK6),sK3) = queue(sP2_iProver_def),
    inference(light_normalisation,[status(thm)],[c_1039,c_2513]) ).

cnf(c_4956,plain,
    ( ~ leq(sP0_iProver_def,X0)
    | host(sK9) = X0
    | setIn(X0,index(down,sP2_iProver_def))
    | leq(sP2_iProver_def,X0) ),
    inference(light_normalisation,[status(thm)],[c_1204,c_2491,c_2513]) ).

cnf(c_4997,plain,
    ( host(X0) != sP4_iProver_def
    | host(X1) != host(X2)
    | ~ elem(m_Down(X0),queue(host(X2)))
    | ~ elem(m_Down(X1),queue(host(sK7)))
    | ~ setIn(X2,alive)
    | ~ setIn(sK7,alive)
    | host(X2) = host(sK7) ),
    inference(superposition,[status(thm)],[c_2495,c_2505]) ).

cnf(c_5010,plain,
    leq(sP0_iProver_def,sP4_iProver_def),
    inference(superposition,[status(thm)],[c_2495,c_4707]) ).

cnf(c_5019,plain,
    leq(sP4_iProver_def,sP2_iProver_def),
    inference(superposition,[status(thm)],[c_2495,c_4429]) ).

cnf(c_5065,plain,
    ( host(X0) != sP4_iProver_def
    | host(X1) != host(X2)
    | ~ elem(m_Down(X0),queue(host(X2)))
    | ~ elem(m_Down(X1),sP5_iProver_def)
    | ~ setIn(X2,alive)
    | ~ setIn(sK7,alive)
    | host(X2) = sP4_iProver_def ),
    inference(light_normalisation,[status(thm)],[c_4997,c_2495,c_2496]) ).

cnf(c_5066,plain,
    ( host(X0) != sP4_iProver_def
    | host(X1) != host(X2)
    | ~ elem(m_Down(X0),queue(host(X2)))
    | ~ elem(m_Down(X1),sP5_iProver_def)
    | ~ setIn(X2,alive)
    | host(X2) = sP4_iProver_def ),
    inference(forward_subsumption_resolution,[status(thm)],[c_5065,c_2514]) ).

cnf(c_5171,plain,
    ( host(X0) != sP2_iProver_def
    | host(X1) != sP4_iProver_def
    | ~ elem(m_Down(X1),queue(host(sK5)))
    | ~ elem(m_Down(X0),sP5_iProver_def)
    | ~ setIn(sK5,alive)
    | host(sK5) = sP4_iProver_def ),
    inference(superposition,[status(thm)],[c_4410,c_5066]) ).

cnf(c_5178,plain,
    ( host(X0) != sP2_iProver_def
    | host(X1) != sP4_iProver_def
    | ~ elem(m_Down(X1),queue(sP2_iProver_def))
    | ~ elem(m_Down(X0),sP5_iProver_def)
    | ~ setIn(sK5,alive)
    | sP2_iProver_def = sP4_iProver_def ),
    inference(light_normalisation,[status(thm)],[c_5171,c_4410]) ).

cnf(c_5179,plain,
    ( host(X0) != sP2_iProver_def
    | host(X1) != sP4_iProver_def
    | ~ elem(m_Down(X1),queue(sP2_iProver_def))
    | ~ elem(m_Down(X0),sP5_iProver_def) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_5178,c_4809,c_2511]) ).

cnf(c_5229,plain,
    ( host(X0) != sP4_iProver_def
    | ~ elem(m_Down(X0),queue(sP2_iProver_def))
    | ~ elem(m_Down(sK8),sP5_iProver_def) ),
    inference(superposition,[status(thm)],[c_4616,c_5179]) ).

cnf(c_5234,plain,
    ( host(X0) != sP4_iProver_def
    | ~ elem(m_Down(X0),queue(sP2_iProver_def))
    | ~ elem(sP3_iProver_def,sP5_iProver_def) ),
    inference(light_normalisation,[status(thm)],[c_5229,c_2494]) ).

cnf(c_5235,plain,
    ( host(X0) != sP4_iProver_def
    | ~ elem(m_Down(X0),queue(sP2_iProver_def)) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_5234,c_2515]) ).

cnf(c_5505,plain,
    ( host(X0) != sP2_iProver_def
    | host(X1) != sP4_iProver_def
    | ~ setIn(host(X1),index(down,sP2_iProver_def))
    | ~ elem(m_Down(X0),queue(host(sK7)))
    | ~ setIn(sK7,alive)
    | host(sK7) = sP2_iProver_def ),
    inference(superposition,[status(thm)],[c_2495,c_4578]) ).

cnf(c_5526,plain,
    ( host(X0) != sP2_iProver_def
    | host(X1) != sP4_iProver_def
    | ~ setIn(host(X1),index(down,sP2_iProver_def))
    | ~ elem(m_Down(X0),sP5_iProver_def)
    | ~ setIn(sK7,alive)
    | sP2_iProver_def = sP4_iProver_def ),
    inference(light_normalisation,[status(thm)],[c_5505,c_2495,c_2496]) ).

cnf(c_5527,plain,
    ( host(X0) != sP2_iProver_def
    | host(X1) != sP4_iProver_def
    | ~ setIn(host(X1),index(down,sP2_iProver_def))
    | ~ elem(m_Down(X0),sP5_iProver_def) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_5526,c_4809,c_2514]) ).

cnf(c_5542,plain,
    ( host(X0) != sP4_iProver_def
    | ~ setIn(host(X0),index(down,sP2_iProver_def))
    | ~ elem(m_Down(sK8),sP5_iProver_def) ),
    inference(superposition,[status(thm)],[c_4616,c_5527]) ).

cnf(c_5547,plain,
    ( host(X0) != sP4_iProver_def
    | ~ setIn(host(X0),index(down,sP2_iProver_def))
    | ~ elem(sP3_iProver_def,sP5_iProver_def) ),
    inference(light_normalisation,[status(thm)],[c_5542,c_2494]) ).

cnf(c_5548,plain,
    ( host(X0) != sP4_iProver_def
    | ~ setIn(host(X0),index(down,sP2_iProver_def)) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_5547,c_2515]) ).

cnf(c_5558,plain,
    ~ setIn(host(sK7),index(down,sP2_iProver_def)),
    inference(superposition,[status(thm)],[c_2495,c_5548]) ).

cnf(c_5562,plain,
    ~ setIn(sP4_iProver_def,index(down,sP2_iProver_def)),
    inference(light_normalisation,[status(thm)],[c_5558,c_2495]) ).

cnf(c_5612,plain,
    ( ~ leq(sP0_iProver_def,sP4_iProver_def)
    | host(sK9) = sP4_iProver_def
    | leq(sP2_iProver_def,sP4_iProver_def) ),
    inference(superposition,[status(thm)],[c_4956,c_5562]) ).

cnf(c_5613,plain,
    ( host(sK9) = sP4_iProver_def
    | leq(sP2_iProver_def,sP4_iProver_def) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_5612,c_5010]) ).

cnf(c_6257,plain,
    ( ~ elem(X0,sK3)
    | elem(X0,queue(sP2_iProver_def)) ),
    inference(superposition,[status(thm)],[c_4814,c_95]) ).

cnf(c_7673,plain,
    ( ~ leq(sP2_iProver_def,sP4_iProver_def)
    | sP2_iProver_def = sP4_iProver_def ),
    inference(superposition,[status(thm)],[c_5019,c_131]) ).

cnf(c_7699,plain,
    ~ leq(sP2_iProver_def,sP4_iProver_def),
    inference(forward_subsumption_resolution,[status(thm)],[c_7673,c_4809]) ).

cnf(c_9823,plain,
    host(sK9) = sP4_iProver_def,
    inference(global_subsumption_just,[status(thm)],[c_5613,c_5613,c_7699]) ).

cnf(c_9958,plain,
    ~ elem(m_Down(sK9),queue(sP2_iProver_def)),
    inference(superposition,[status(thm)],[c_9823,c_5235]) ).

cnf(c_9988,plain,
    ~ elem(sP1_iProver_def,queue(sP2_iProver_def)),
    inference(light_normalisation,[status(thm)],[c_9958,c_2492]) ).

cnf(c_10510,plain,
    ~ elem(sP1_iProver_def,sK3),
    inference(superposition,[status(thm)],[c_6257,c_9988]) ).

cnf(c_10511,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[c_10510,c_2512]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13  % Problem  : SWV473+1 : TPTP v8.1.2. Released v4.0.0.
% 0.08/0.14  % Command  : run_iprover %s %d THM
% 0.14/0.36  % Computer : n018.cluster.edu
% 0.14/0.36  % Model    : x86_64 x86_64
% 0.14/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36  % Memory   : 8042.1875MB
% 0.14/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36  % CPULimit : 300
% 0.14/0.36  % WCLimit  : 300
% 0.14/0.36  % DateTime : Fri May  3 00:24:16 EDT 2024
% 0.14/0.36  % CPUTime  : 
% 0.21/0.50  Running first-order theorem proving
% 0.21/0.50  Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 4.21/1.17  % SZS status Started for theBenchmark.p
% 4.21/1.17  % SZS status Theorem for theBenchmark.p
% 4.21/1.17  
% 4.21/1.17  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 4.21/1.17  
% 4.21/1.17  ------  iProver source info
% 4.21/1.17  
% 4.21/1.17  git: date: 2024-05-02 19:28:25 +0000
% 4.21/1.17  git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 4.21/1.17  git: non_committed_changes: false
% 4.21/1.17  
% 4.21/1.17  ------ Parsing...
% 4.21/1.17  ------ Clausification by vclausify_rel  & Parsing by iProver...
% 4.21/1.17  
% 4.21/1.17  ------ Preprocessing... sup_sim: 9  sf_s  rm: 1 0s  sf_e  pe_s  pe_e  sup_sim: 0  sf_s  rm: 1 0s  sf_e  pe_s  pe_e 
% 4.21/1.17  
% 4.21/1.17  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 4.21/1.17  
% 4.21/1.17  ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 4.21/1.17  ------ Proving...
% 4.21/1.17  ------ Problem Properties 
% 4.21/1.17  
% 4.21/1.17  
% 4.21/1.17  clauses                                 117
% 4.21/1.17  conjectures                             19
% 4.21/1.17  EPR                                     19
% 4.21/1.17  Horn                                    101
% 4.21/1.17  unary                                   61
% 4.21/1.17  binary                                  25
% 4.21/1.17  lits                                    243
% 4.21/1.17  lits eq                                 110
% 4.21/1.17  fd_pure                                 0
% 4.21/1.17  fd_pseudo                               0
% 4.21/1.17  fd_cond                                 1
% 4.21/1.17  fd_pseudo_cond                          12
% 4.21/1.17  AC symbols                              0
% 4.21/1.17  
% 4.21/1.17  ------ Schedule dynamic 5 is on 
% 4.21/1.17  
% 4.21/1.17  ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 4.21/1.17  
% 4.21/1.17  
% 4.21/1.17  ------ 
% 4.21/1.17  Current options:
% 4.21/1.17  ------ 
% 4.21/1.17  
% 4.21/1.17  
% 4.21/1.17  
% 4.21/1.17  
% 4.21/1.17  ------ Proving...
% 4.21/1.17  
% 4.21/1.17  
% 4.21/1.17  % SZS status Theorem for theBenchmark.p
% 4.21/1.17  
% 4.21/1.17  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 4.21/1.17  
% 4.21/1.18  
%------------------------------------------------------------------------------