TSTP Solution File: SWV474+1 by iProver---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : SWV474+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n009.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 03:17:28 EDT 2024

% Result   : Theorem 49.78s 7.68s
% Output   : CNFRefutation 49.78s
% 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/sandbox/benchmark/theBenchmark.p',axiom_02) ).

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

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

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

fof(f67,conjecture,
    ! [X11,X12,X4,X5] :
      ( ( queue(host(X4)) = cons(m_Down(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)
       => ( ~ leq(host(X4),host(X5))
         => ( ~ ( ( host(X5) = host(index(elid,host(X4)))
                  & wait = index(status,host(X4)) )
                | ( norm = index(status,host(X4))
                  & host(X5) = index(ldr,host(X4)) ) )
           => ( ~ ( elec_1 = index(status,host(X4))
                  & ! [X6] :
                      ( ( leq(s(zero),X6)
                        & ~ leq(host(X4),X6) )
                     => ( host(X5) = X6
                        | setIn(X6,index(down,host(X4))) ) ) )
             => ! [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
                                | host(X5) = X16
                                | setIn(X16,index(down,host(X4))) ) ) )
                       => ~ ( elem(m_Down(X17),queue(host(X6)))
                            & setIn(X6,alive) ) ) ) ) ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj) ).

fof(f68,negated_conjecture,
    ~ ! [X11,X12,X4,X5] :
        ( ( queue(host(X4)) = cons(m_Down(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)
         => ( ~ leq(host(X4),host(X5))
           => ( ~ ( ( host(X5) = host(index(elid,host(X4)))
                    & wait = index(status,host(X4)) )
                  | ( norm = index(status,host(X4))
                    & host(X5) = index(ldr,host(X4)) ) )
             => ( ~ ( elec_1 = index(status,host(X4))
                    & ! [X6] :
                        ( ( leq(s(zero),X6)
                          & ~ leq(host(X4),X6) )
                       => ( host(X5) = X6
                          | setIn(X6,index(down,host(X4))) ) ) )
               => ! [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
                                  | host(X5) = X16
                                  | setIn(X16,index(down,host(X4))) ) ) )
                         => ~ ( 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,X2,X3] :
        ( ( queue(host(X2)) = cons(m_Down(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)
         => ( ~ leq(host(X2),host(X3))
           => ( ~ ( ( host(X3) = host(index(elid,host(X2)))
                    & wait = index(status,host(X2)) )
                  | ( norm = index(status,host(X2))
                    & host(X3) = index(ldr,host(X2)) ) )
             => ( ~ ( elec_1 = index(status,host(X2))
                    & ! [X32] :
                        ( ( leq(s(zero),X32)
                          & ~ leq(host(X2),X32) )
                       => ( host(X3) = X32
                          | setIn(X32,index(down,host(X2))) ) ) )
               => ! [X33] :
                    ( host(X2) != host(X33)
                   => ! [X34,X35,X36] :
                        ( host(X2) = host(X36)
                       => ( ( elec_1 = index(status,host(X36))
                            & nbr_proc = host(X36)
                            & host(X36) = host(X34)
                            & elem(m_Down(X35),X0)
                            & ! [X37] :
                                ( ( leq(s(zero),X37)
                                  & ~ leq(host(X36),X37) )
                               => ( host(X35) = X37
                                  | host(X3) = X37
                                  | setIn(X37,index(down,host(X2))) ) ) )
                         => ~ ( elem(m_Down(X34),queue(host(X33)))
                              & setIn(X33,alive) ) ) ) ) ) ) ) ) ),
    inference(rectify,[],[f68]) ).

fof(f140,plain,
    ? [X0,X2,X3] :
      ( ? [X33] :
          ( ? [X34,X35,X36] :
              ( elem(m_Down(X34),queue(host(X33)))
              & setIn(X33,alive)
              & elec_1 = index(status,host(X36))
              & nbr_proc = host(X36)
              & host(X36) = host(X34)
              & elem(m_Down(X35),X0)
              & ! [X37] :
                  ( host(X35) = X37
                  | host(X3) = X37
                  | setIn(X37,index(down,host(X2)))
                  | ~ leq(s(zero),X37)
                  | leq(host(X36),X37) )
              & host(X2) = host(X36) )
          & host(X2) != host(X33) )
      & ( elec_1 != index(status,host(X2))
        | ? [X32] :
            ( host(X3) != X32
            & ~ setIn(X32,index(down,host(X2)))
            & leq(s(zero),X32)
            & ~ leq(host(X2),X32) ) )
      & ( host(X3) != host(index(elid,host(X2)))
        | wait != index(status,host(X2)) )
      & ( norm != index(status,host(X2))
        | host(X3) != index(ldr,host(X2)) )
      & ~ leq(host(X2),host(X3))
      & setIn(X2,alive)
      & queue(host(X2)) = cons(m_Down(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,X2,X3] :
      ( ? [X33] :
          ( ? [X34,X35,X36] :
              ( elem(m_Down(X34),queue(host(X33)))
              & setIn(X33,alive)
              & elec_1 = index(status,host(X36))
              & nbr_proc = host(X36)
              & host(X36) = host(X34)
              & elem(m_Down(X35),X0)
              & ! [X37] :
                  ( host(X35) = X37
                  | host(X3) = X37
                  | setIn(X37,index(down,host(X2)))
                  | ~ leq(s(zero),X37)
                  | leq(host(X36),X37) )
              & host(X2) = host(X36) )
          & host(X2) != host(X33) )
      & ( elec_1 != index(status,host(X2))
        | ? [X32] :
            ( host(X3) != X32
            & ~ setIn(X32,index(down,host(X2)))
            & leq(s(zero),X32)
            & ~ leq(host(X2),X32) ) )
      & ( host(X3) != host(index(elid,host(X2)))
        | wait != index(status,host(X2)) )
      & ( norm != index(status,host(X2))
        | host(X3) != index(ldr,host(X2)) )
      & ~ leq(host(X2),host(X3))
      & setIn(X2,alive)
      & queue(host(X2)) = cons(m_Down(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] :
              ( elem(m_Down(X4),queue(host(X3)))
              & setIn(X3,alive)
              & elec_1 = index(status,host(X6))
              & nbr_proc = host(X6)
              & host(X4) = host(X6)
              & elem(m_Down(X5),X0)
              & ! [X7] :
                  ( host(X5) = X7
                  | host(X2) = X7
                  | setIn(X7,index(down,host(X1)))
                  | ~ leq(s(zero),X7)
                  | leq(host(X6),X7) )
              & host(X1) = host(X6) )
          & host(X3) != host(X1) )
      & ( elec_1 != index(status,host(X1))
        | ? [X8] :
            ( host(X2) != X8
            & ~ setIn(X8,index(down,host(X1)))
            & leq(s(zero),X8)
            & ~ leq(host(X1),X8) ) )
      & ( host(X2) != host(index(elid,host(X1)))
        | wait != index(status,host(X1)) )
      & ( norm != index(status,host(X1))
        | host(X2) != index(ldr,host(X1)) )
      & ~ leq(host(X1),host(X2))
      & setIn(X1,alive)
      & queue(host(X1)) = cons(m_Down(X2),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] :
                ( elem(m_Down(X4),queue(host(X3)))
                & setIn(X3,alive)
                & elec_1 = index(status,host(X6))
                & nbr_proc = host(X6)
                & host(X4) = host(X6)
                & elem(m_Down(X5),X0)
                & ! [X7] :
                    ( host(X5) = X7
                    | host(X2) = X7
                    | setIn(X7,index(down,host(X1)))
                    | ~ leq(s(zero),X7)
                    | leq(host(X6),X7) )
                & host(X1) = host(X6) )
            & host(X3) != host(X1) )
        & ( elec_1 != index(status,host(X1))
          | ? [X8] :
              ( host(X2) != X8
              & ~ setIn(X8,index(down,host(X1)))
              & leq(s(zero),X8)
              & ~ leq(host(X1),X8) ) )
        & ( host(X2) != host(index(elid,host(X1)))
          | wait != index(status,host(X1)) )
        & ( norm != index(status,host(X1))
          | host(X2) != index(ldr,host(X1)) )
        & ~ leq(host(X1),host(X2))
        & setIn(X1,alive)
        & queue(host(X1)) = cons(m_Down(X2),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))) ) )
   => ( ? [X3] :
          ( ? [X6,X5,X4] :
              ( elem(m_Down(X4),queue(host(X3)))
              & setIn(X3,alive)
              & elec_1 = index(status,host(X6))
              & nbr_proc = host(X6)
              & host(X4) = host(X6)
              & elem(m_Down(X5),sK3)
              & ! [X7] :
                  ( host(X5) = X7
                  | host(sK5) = X7
                  | setIn(X7,index(down,host(sK4)))
                  | ~ leq(s(zero),X7)
                  | leq(host(X6),X7) )
              & host(X6) = host(sK4) )
          & host(X3) != host(sK4) )
      & ( elec_1 != index(status,host(sK4))
        | ? [X8] :
            ( host(sK5) != X8
            & ~ setIn(X8,index(down,host(sK4)))
            & leq(s(zero),X8)
            & ~ leq(host(sK4),X8) ) )
      & ( host(sK5) != host(index(elid,host(sK4)))
        | wait != index(status,host(sK4)) )
      & ( norm != index(status,host(sK4))
        | host(sK5) != index(ldr,host(sK4)) )
      & ~ leq(host(sK4),host(sK5))
      & setIn(sK4,alive)
      & queue(host(sK4)) = cons(m_Down(sK5),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,
    ( ? [X3] :
        ( ? [X6,X5,X4] :
            ( elem(m_Down(X4),queue(host(X3)))
            & setIn(X3,alive)
            & elec_1 = index(status,host(X6))
            & nbr_proc = host(X6)
            & host(X4) = host(X6)
            & elem(m_Down(X5),sK3)
            & ! [X7] :
                ( host(X5) = X7
                | host(sK5) = X7
                | setIn(X7,index(down,host(sK4)))
                | ~ leq(s(zero),X7)
                | leq(host(X6),X7) )
            & host(X6) = host(sK4) )
        & host(X3) != host(sK4) )
   => ( ? [X6,X5,X4] :
          ( elem(m_Down(X4),queue(host(sK6)))
          & setIn(sK6,alive)
          & elec_1 = index(status,host(X6))
          & nbr_proc = host(X6)
          & host(X4) = host(X6)
          & elem(m_Down(X5),sK3)
          & ! [X7] :
              ( host(X5) = X7
              | host(sK5) = X7
              | setIn(X7,index(down,host(sK4)))
              | ~ leq(s(zero),X7)
              | leq(host(X6),X7) )
          & host(X6) = host(sK4) )
      & host(sK4) != host(sK6) ) ),
    introduced(choice_axiom,[]) ).

fof(f173,plain,
    ( ? [X6,X5,X4] :
        ( elem(m_Down(X4),queue(host(sK6)))
        & setIn(sK6,alive)
        & elec_1 = index(status,host(X6))
        & nbr_proc = host(X6)
        & host(X4) = host(X6)
        & elem(m_Down(X5),sK3)
        & ! [X7] :
            ( host(X5) = X7
            | host(sK5) = X7
            | setIn(X7,index(down,host(sK4)))
            | ~ leq(s(zero),X7)
            | leq(host(X6),X7) )
        & host(X6) = host(sK4) )
   => ( elem(m_Down(sK7),queue(host(sK6)))
      & setIn(sK6,alive)
      & elec_1 = index(status,host(sK9))
      & nbr_proc = host(sK9)
      & host(sK9) = host(sK7)
      & elem(m_Down(sK8),sK3)
      & ! [X7] :
          ( host(sK8) = X7
          | host(sK5) = X7
          | setIn(X7,index(down,host(sK4)))
          | ~ leq(s(zero),X7)
          | leq(host(sK9),X7) )
      & host(sK4) = host(sK9) ) ),
    introduced(choice_axiom,[]) ).

fof(f174,plain,
    ( ? [X8] :
        ( host(sK5) != X8
        & ~ setIn(X8,index(down,host(sK4)))
        & leq(s(zero),X8)
        & ~ leq(host(sK4),X8) )
   => ( host(sK5) != sK10
      & ~ setIn(sK10,index(down,host(sK4)))
      & leq(s(zero),sK10)
      & ~ leq(host(sK4),sK10) ) ),
    introduced(choice_axiom,[]) ).

fof(f175,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(f176,plain,
    ( elem(m_Down(sK7),queue(host(sK6)))
    & setIn(sK6,alive)
    & elec_1 = index(status,host(sK9))
    & nbr_proc = host(sK9)
    & host(sK9) = host(sK7)
    & elem(m_Down(sK8),sK3)
    & ! [X7] :
        ( host(sK8) = X7
        | host(sK5) = X7
        | setIn(X7,index(down,host(sK4)))
        | ~ leq(s(zero),X7)
        | leq(host(sK9),X7) )
    & host(sK4) = host(sK9)
    & host(sK4) != host(sK6)
    & ( elec_1 != index(status,host(sK4))
      | ( host(sK5) != sK10
        & ~ setIn(sK10,index(down,host(sK4)))
        & leq(s(zero),sK10)
        & ~ leq(host(sK4),sK10) ) )
    & ( host(sK5) != host(index(elid,host(sK4)))
      | wait != index(status,host(sK4)) )
    & ( norm != index(status,host(sK4))
      | host(sK5) != index(ldr,host(sK4)) )
    & ~ leq(host(sK4),host(sK5))
    & setIn(sK4,alive)
    & queue(host(sK4)) = cons(m_Down(sK5),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,f175,f174,f173,f172,f171]) ).

fof(f180,plain,
    ! [X0] : leq(s(zero),host(X0)),
    inference(cnf_transformation,[],[f70]) ).

fof(f182,plain,
    ! [X0] : leq(host(X0),nbr_proc),
    inference(cnf_transformation,[],[f71]) ).

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

fof(f231,plain,
    ! [X2,X0,X1] :
      ( elem(X0,cons(X1,X2))
      | ~ elem(X0,X2) ),
    inference(cnf_transformation,[],[f148]) ).

fof(f263,plain,
    ! [X0,X1] :
      ( X0 = X1
      | ~ leq(X1,X0)
      | ~ leq(X0,X1) ),
    inference(cnf_transformation,[],[f166]) ).

fof(f274,plain,
    ! [X34,X33] :
      ( host(X33) != host(X34)
      | ~ elem(m_Down(X34),queue(host(X33))) ),
    inference(cnf_transformation,[],[f176]) ).

fof(f281,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,[],[f176]) ).

fof(f282,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,[],[f176]) ).

fof(f287,plain,
    queue(host(sK4)) = cons(m_Down(sK5),sK3),
    inference(cnf_transformation,[],[f176]) ).

fof(f288,plain,
    setIn(sK4,alive),
    inference(cnf_transformation,[],[f176]) ).

fof(f292,plain,
    ( elec_1 != index(status,host(sK4))
    | ~ leq(host(sK4),sK10) ),
    inference(cnf_transformation,[],[f176]) ).

fof(f293,plain,
    ( elec_1 != index(status,host(sK4))
    | leq(s(zero),sK10) ),
    inference(cnf_transformation,[],[f176]) ).

fof(f294,plain,
    ( elec_1 != index(status,host(sK4))
    | ~ setIn(sK10,index(down,host(sK4))) ),
    inference(cnf_transformation,[],[f176]) ).

fof(f295,plain,
    ( elec_1 != index(status,host(sK4))
    | host(sK5) != sK10 ),
    inference(cnf_transformation,[],[f176]) ).

fof(f296,plain,
    host(sK4) != host(sK6),
    inference(cnf_transformation,[],[f176]) ).

fof(f297,plain,
    host(sK4) = host(sK9),
    inference(cnf_transformation,[],[f176]) ).

fof(f298,plain,
    ! [X7] :
      ( host(sK8) = X7
      | host(sK5) = X7
      | setIn(X7,index(down,host(sK4)))
      | ~ leq(s(zero),X7)
      | leq(host(sK9),X7) ),
    inference(cnf_transformation,[],[f176]) ).

fof(f299,plain,
    elem(m_Down(sK8),sK3),
    inference(cnf_transformation,[],[f176]) ).

fof(f300,plain,
    host(sK9) = host(sK7),
    inference(cnf_transformation,[],[f176]) ).

fof(f301,plain,
    nbr_proc = host(sK9),
    inference(cnf_transformation,[],[f176]) ).

fof(f302,plain,
    elec_1 = index(status,host(sK9)),
    inference(cnf_transformation,[],[f176]) ).

fof(f303,plain,
    setIn(sK6,alive),
    inference(cnf_transformation,[],[f176]) ).

fof(f304,plain,
    elem(m_Down(sK7),queue(host(sK6))),
    inference(cnf_transformation,[],[f176]) ).

fof(f311,plain,
    ! [X2,X1] : elem(X1,cons(X1,X2)),
    inference(equality_resolution,[],[f230]) ).

cnf(c_52,plain,
    leq(s(zero),host(X0)),
    inference(cnf_transformation,[],[f180]) ).

cnf(c_54,plain,
    leq(host(X0),nbr_proc),
    inference(cnf_transformation,[],[f182]) ).

cnf(c_95,plain,
    ( ~ elem(X0,X1)
    | elem(X0,cons(X2,X1)) ),
    inference(cnf_transformation,[],[f231]) ).

cnf(c_96,plain,
    elem(X0,cons(X0,X1)),
    inference(cnf_transformation,[],[f311]) ).

cnf(c_131,plain,
    ( ~ leq(X0,X1)
    | ~ leq(X1,X0)
    | X0 = X1 ),
    inference(cnf_transformation,[],[f263]) ).

cnf(c_139,negated_conjecture,
    elem(m_Down(sK7),queue(host(sK6))),
    inference(cnf_transformation,[],[f304]) ).

cnf(c_140,negated_conjecture,
    setIn(sK6,alive),
    inference(cnf_transformation,[],[f303]) ).

cnf(c_141,negated_conjecture,
    index(status,host(sK9)) = elec_1,
    inference(cnf_transformation,[],[f302]) ).

cnf(c_142,negated_conjecture,
    host(sK9) = nbr_proc,
    inference(cnf_transformation,[],[f301]) ).

cnf(c_143,negated_conjecture,
    host(sK7) = host(sK9),
    inference(cnf_transformation,[],[f300]) ).

cnf(c_144,negated_conjecture,
    elem(m_Down(sK8),sK3),
    inference(cnf_transformation,[],[f299]) ).

cnf(c_145,negated_conjecture,
    ( ~ leq(s(zero),X0)
    | host(sK8) = X0
    | host(sK5) = X0
    | setIn(X0,index(down,host(sK4)))
    | leq(host(sK9),X0) ),
    inference(cnf_transformation,[],[f298]) ).

cnf(c_146,negated_conjecture,
    host(sK9) = host(sK4),
    inference(cnf_transformation,[],[f297]) ).

cnf(c_147,negated_conjecture,
    host(sK6) != host(sK4),
    inference(cnf_transformation,[],[f296]) ).

cnf(c_148,negated_conjecture,
    ( index(status,host(sK4)) != elec_1
    | host(sK5) != sK10 ),
    inference(cnf_transformation,[],[f295]) ).

cnf(c_149,negated_conjecture,
    ( index(status,host(sK4)) != elec_1
    | ~ setIn(sK10,index(down,host(sK4))) ),
    inference(cnf_transformation,[],[f294]) ).

cnf(c_150,negated_conjecture,
    ( index(status,host(sK4)) != elec_1
    | leq(s(zero),sK10) ),
    inference(cnf_transformation,[],[f293]) ).

cnf(c_151,negated_conjecture,
    ( index(status,host(sK4)) != elec_1
    | ~ leq(host(sK4),sK10) ),
    inference(cnf_transformation,[],[f292]) ).

cnf(c_155,negated_conjecture,
    setIn(sK4,alive),
    inference(cnf_transformation,[],[f288]) ).

cnf(c_156,negated_conjecture,
    cons(m_Down(sK5),sK3) = queue(host(sK4)),
    inference(cnf_transformation,[],[f287]) ).

cnf(c_161,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,[],[f282]) ).

cnf(c_162,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,[],[f281]) ).

cnf(c_169,negated_conjecture,
    ( host(X0) != host(X1)
    | ~ elem(m_Down(X1),queue(host(X0))) ),
    inference(cnf_transformation,[],[f274]) ).

cnf(c_301,plain,
    ( host(sK5) != sK10
    | index(status,host(sK4)) != elec_1 ),
    inference(prop_impl_just,[status(thm)],[c_148]) ).

cnf(c_302,plain,
    ( index(status,host(sK4)) != elec_1
    | host(sK5) != sK10 ),
    inference(renaming,[status(thm)],[c_301]) ).

cnf(c_305,plain,
    ( index(status,host(sK4)) != elec_1
    | ~ setIn(sK10,index(down,host(sK4))) ),
    inference(prop_impl_just,[status(thm)],[c_149]) ).

cnf(c_307,plain,
    ( index(status,host(sK4)) != elec_1
    | leq(s(zero),sK10) ),
    inference(prop_impl_just,[status(thm)],[c_150]) ).

cnf(c_309,plain,
    ( index(status,host(sK4)) != elec_1
    | ~ leq(host(sK4),sK10) ),
    inference(prop_impl_just,[status(thm)],[c_151]) ).

cnf(c_1044,plain,
    host(sK4) = nbr_proc,
    inference(light_normalisation,[status(thm)],[c_146,c_142]) ).

cnf(c_1046,plain,
    host(sK7) = nbr_proc,
    inference(light_normalisation,[status(thm)],[c_143,c_142]) ).

cnf(c_1049,plain,
    host(sK6) != nbr_proc,
    inference(light_normalisation,[status(thm)],[c_147,c_1044]) ).

cnf(c_1050,plain,
    index(status,nbr_proc) = elec_1,
    inference(light_normalisation,[status(thm)],[c_141,c_142]) ).

cnf(c_1068,plain,
    cons(m_Down(sK5),sK3) = queue(nbr_proc),
    inference(light_normalisation,[status(thm)],[c_156,c_1044]) ).

cnf(c_1147,plain,
    ( elec_1 != elec_1
    | leq(s(zero),sK10) ),
    inference(light_normalisation,[status(thm)],[c_307,c_1044,c_1050]) ).

cnf(c_1148,plain,
    leq(s(zero),sK10),
    inference(equality_resolution_simp,[status(thm)],[c_1147]) ).

cnf(c_1183,plain,
    ( elec_1 != elec_1
    | ~ leq(nbr_proc,sK10) ),
    inference(light_normalisation,[status(thm)],[c_309,c_1044,c_1050]) ).

cnf(c_1184,plain,
    ~ leq(nbr_proc,sK10),
    inference(equality_resolution_simp,[status(thm)],[c_1183]) ).

cnf(c_1215,plain,
    ( host(sK5) != sK10
    | elec_1 != elec_1 ),
    inference(light_normalisation,[status(thm)],[c_302,c_1044,c_1050]) ).

cnf(c_1216,plain,
    host(sK5) != sK10,
    inference(equality_resolution_simp,[status(thm)],[c_1215]) ).

cnf(c_1217,plain,
    ( elec_1 != elec_1
    | ~ setIn(sK10,index(down,nbr_proc)) ),
    inference(light_normalisation,[status(thm)],[c_305,c_1044,c_1050]) ).

cnf(c_1218,plain,
    ~ setIn(sK10,index(down,nbr_proc)),
    inference(equality_resolution_simp,[status(thm)],[c_1217]) ).

cnf(c_1283,plain,
    ( ~ leq(s(zero),X0)
    | host(sK8) = X0
    | host(sK5) = X0
    | setIn(X0,index(down,nbr_proc))
    | leq(nbr_proc,X0) ),
    inference(light_normalisation,[status(thm)],[c_145,c_142,c_1044]) ).

cnf(c_2581,plain,
    s(zero) = sP0_iProver_def,
    definition ).

cnf(c_2582,plain,
    m_Down(sK8) = sP1_iProver_def,
    definition ).

cnf(c_2583,plain,
    host(sK9) = sP2_iProver_def,
    definition ).

cnf(c_2584,plain,
    m_Down(sK7) = sP3_iProver_def,
    definition ).

cnf(c_2585,plain,
    host(sK6) = sP4_iProver_def,
    definition ).

cnf(c_2586,plain,
    queue(sP4_iProver_def) = sP5_iProver_def,
    definition ).

cnf(c_2588,negated_conjecture,
    ( host(X0) != host(X1)
    | ~ elem(m_Down(X1),queue(host(X0))) ),
    inference(demodulation,[status(thm)],[c_169]) ).

cnf(c_2595,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_162]) ).

cnf(c_2596,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_161]) ).

cnf(c_2601,negated_conjecture,
    setIn(sK4,alive),
    inference(demodulation,[status(thm)],[c_155]) ).

cnf(c_2602,negated_conjecture,
    elem(sP1_iProver_def,sK3),
    inference(demodulation,[status(thm)],[c_144,c_2582]) ).

cnf(c_2603,negated_conjecture,
    sP2_iProver_def = nbr_proc,
    inference(demodulation,[status(thm)],[c_142,c_2583]) ).

cnf(c_2604,negated_conjecture,
    setIn(sK6,alive),
    inference(demodulation,[status(thm)],[c_140]) ).

cnf(c_2605,negated_conjecture,
    elem(sP3_iProver_def,sP5_iProver_def),
    inference(demodulation,[status(thm)],[c_139,c_2585,c_2586,c_2584]) ).

cnf(c_4520,plain,
    host(sK4) = sP2_iProver_def,
    inference(light_normalisation,[status(thm)],[c_1044,c_2603]) ).

cnf(c_4523,plain,
    ( host(X0) != sP2_iProver_def
    | ~ elem(m_Down(X0),queue(host(sK4))) ),
    inference(superposition,[status(thm)],[c_4520,c_2588]) ).

cnf(c_4529,plain,
    ( host(X0) != sP2_iProver_def
    | ~ elem(m_Down(X0),queue(sP2_iProver_def)) ),
    inference(light_normalisation,[status(thm)],[c_4523,c_4520]) ).

cnf(c_4726,plain,
    host(sK7) = sP2_iProver_def,
    inference(light_normalisation,[status(thm)],[c_1046,c_2603]) ).

cnf(c_4820,plain,
    leq(sP0_iProver_def,sK10),
    inference(light_normalisation,[status(thm)],[c_1148,c_2581]) ).

cnf(c_4821,plain,
    ~ leq(sP2_iProver_def,sK10),
    inference(light_normalisation,[status(thm)],[c_1184,c_2603]) ).

cnf(c_4922,plain,
    sP2_iProver_def != sP4_iProver_def,
    inference(light_normalisation,[status(thm)],[c_1049,c_2585,c_2603]) ).

cnf(c_4927,plain,
    cons(m_Down(sK5),sK3) = queue(sP2_iProver_def),
    inference(light_normalisation,[status(thm)],[c_1068,c_2603]) ).

cnf(c_4962,plain,
    ( ~ leq(sP0_iProver_def,X0)
    | host(sK8) = X0
    | host(sK5) = X0
    | setIn(X0,index(down,sP2_iProver_def))
    | leq(sP2_iProver_def,X0) ),
    inference(light_normalisation,[status(thm)],[c_1283,c_2581,c_2603]) ).

cnf(c_5089,plain,
    ( host(X0) != sP4_iProver_def
    | host(X1) != host(X2)
    | ~ elem(m_Down(X0),queue(host(X2)))
    | ~ elem(m_Down(X1),queue(host(sK6)))
    | ~ setIn(X2,alive)
    | ~ setIn(sK6,alive)
    | host(X2) = host(sK6) ),
    inference(superposition,[status(thm)],[c_2585,c_2595]) ).

cnf(c_5155,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(sK6,alive)
    | host(X2) = sP4_iProver_def ),
    inference(light_normalisation,[status(thm)],[c_5089,c_2585,c_2586]) ).

cnf(c_5156,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_5155,c_2604]) ).

cnf(c_5263,plain,
    ~ setIn(sK10,index(down,sP2_iProver_def)),
    inference(light_normalisation,[status(thm)],[c_1218,c_2603]) ).

cnf(c_5264,plain,
    ( ~ leq(sP0_iProver_def,sK10)
    | host(sK8) = sK10
    | host(sK5) = sK10
    | leq(sP2_iProver_def,sK10) ),
    inference(superposition,[status(thm)],[c_4962,c_5263]) ).

cnf(c_5265,plain,
    host(sK8) = sK10,
    inference(forward_subsumption_resolution,[status(thm)],[c_5264,c_4821,c_1216,c_4820]) ).

cnf(c_5310,plain,
    ( host(X0) != sP2_iProver_def
    | host(X1) != sP4_iProver_def
    | ~ elem(m_Down(X1),queue(host(sK4)))
    | ~ elem(m_Down(X0),sP5_iProver_def)
    | ~ setIn(sK4,alive)
    | host(sK4) = sP4_iProver_def ),
    inference(superposition,[status(thm)],[c_4520,c_5156]) ).

cnf(c_5317,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(sK4,alive)
    | sP2_iProver_def = sP4_iProver_def ),
    inference(light_normalisation,[status(thm)],[c_5310,c_4520]) ).

cnf(c_5318,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_5317,c_4922,c_2601]) ).

cnf(c_5356,plain,
    ( host(X0) != sP4_iProver_def
    | ~ elem(m_Down(X0),queue(sP2_iProver_def))
    | ~ elem(m_Down(sK7),sP5_iProver_def) ),
    inference(superposition,[status(thm)],[c_4726,c_5318]) ).

cnf(c_5361,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_5356,c_2584]) ).

cnf(c_5362,plain,
    ( host(X0) != sP4_iProver_def
    | ~ elem(m_Down(X0),queue(sP2_iProver_def)) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_5361,c_2605]) ).

cnf(c_5536,plain,
    ( sK10 != sP4_iProver_def
    | ~ elem(m_Down(sK8),queue(sP2_iProver_def)) ),
    inference(superposition,[status(thm)],[c_5265,c_5362]) ).

cnf(c_5563,plain,
    ( sK10 != sP4_iProver_def
    | ~ elem(sP1_iProver_def,queue(sP2_iProver_def)) ),
    inference(light_normalisation,[status(thm)],[c_5536,c_2582]) ).

cnf(c_6770,plain,
    ( sK10 != sP2_iProver_def
    | ~ elem(m_Down(sK8),queue(sP2_iProver_def)) ),
    inference(superposition,[status(thm)],[c_5265,c_4529]) ).

cnf(c_6773,plain,
    ( sK10 != sP2_iProver_def
    | ~ elem(sP1_iProver_def,queue(sP2_iProver_def)) ),
    inference(light_normalisation,[status(thm)],[c_6770,c_2582]) ).

cnf(c_6982,plain,
    ( ~ elem(X0,sK3)
    | elem(X0,queue(sP2_iProver_def)) ),
    inference(superposition,[status(thm)],[c_4927,c_95]) ).

cnf(c_10372,plain,
    sP2_iProver_def != sP4_iProver_def,
    inference(light_normalisation,[status(thm)],[c_1049,c_2585,c_2603]) ).

cnf(c_76498,plain,
    leq(host(X0),sP2_iProver_def),
    inference(light_normalisation,[status(thm)],[c_54,c_2603]) ).

cnf(c_76545,plain,
    host(sK4) = sP2_iProver_def,
    inference(light_normalisation,[status(thm)],[c_1044,c_2603]) ).

cnf(c_76546,plain,
    ( host(X0) != sP2_iProver_def
    | host(X1) != host(X2)
    | ~ setIn(host(X2),index(down,host(sK4)))
    | ~ elem(m_Down(X0),queue(host(X1)))
    | ~ setIn(X1,alive)
    | ~ setIn(sK4,alive)
    | host(X1) = host(sK4) ),
    inference(superposition,[status(thm)],[c_76545,c_2596]) ).

cnf(c_76547,plain,
    ( host(X0) != sP2_iProver_def
    | host(X1) != host(X2)
    | ~ elem(m_Down(X0),queue(host(X2)))
    | ~ elem(m_Down(X1),queue(host(sK4)))
    | ~ setIn(X2,alive)
    | ~ setIn(sK4,alive)
    | host(X2) = host(sK4) ),
    inference(superposition,[status(thm)],[c_76545,c_2595]) ).

cnf(c_76608,plain,
    ( host(X0) != sP2_iProver_def
    | host(X1) != host(X2)
    | ~ elem(m_Down(X0),queue(host(X2)))
    | ~ elem(m_Down(X1),queue(sP2_iProver_def))
    | ~ setIn(X2,alive)
    | ~ setIn(sK4,alive)
    | host(X2) = sP2_iProver_def ),
    inference(light_normalisation,[status(thm)],[c_76547,c_76545]) ).

cnf(c_76609,plain,
    ( host(X0) != sP2_iProver_def
    | host(X1) != host(X2)
    | ~ elem(m_Down(X0),queue(host(X2)))
    | ~ elem(m_Down(X1),queue(sP2_iProver_def))
    | ~ setIn(X2,alive)
    | host(X2) = sP2_iProver_def ),
    inference(forward_subsumption_resolution,[status(thm)],[c_76608,c_2601]) ).

cnf(c_76623,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(sK4,alive)
    | host(X1) = sP2_iProver_def ),
    inference(light_normalisation,[status(thm)],[c_76546,c_76545]) ).

cnf(c_76624,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_76623,c_2601]) ).

cnf(c_76664,plain,
    host(sK7) = sP2_iProver_def,
    inference(light_normalisation,[status(thm)],[c_1046,c_2603]) ).

cnf(c_76782,plain,
    leq(sP0_iProver_def,host(X0)),
    inference(light_normalisation,[status(thm)],[c_52,c_2581]) ).

cnf(c_76792,plain,
    cons(m_Down(sK5),sK3) = queue(sP2_iProver_def),
    inference(light_normalisation,[status(thm)],[c_1068,c_2603]) ).

cnf(c_76825,plain,
    ( ~ leq(sP0_iProver_def,X0)
    | host(sK8) = X0
    | host(sK5) = X0
    | setIn(X0,index(down,sP2_iProver_def))
    | leq(sP2_iProver_def,X0) ),
    inference(light_normalisation,[status(thm)],[c_1283,c_2581,c_2603]) ).

cnf(c_76836,plain,
    elem(m_Down(sK5),queue(sP2_iProver_def)),
    inference(superposition,[status(thm)],[c_76792,c_96]) ).

cnf(c_77130,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(sK6)))
    | ~ setIn(sK6,alive)
    | host(sK6) = sP2_iProver_def ),
    inference(superposition,[status(thm)],[c_2585,c_76624]) ).

cnf(c_77148,plain,
    leq(sP0_iProver_def,sP4_iProver_def),
    inference(superposition,[status(thm)],[c_2585,c_76782]) ).

cnf(c_77152,plain,
    leq(sP4_iProver_def,sP2_iProver_def),
    inference(superposition,[status(thm)],[c_2585,c_76498]) ).

cnf(c_77164,plain,
    ( host(X0) != sP4_iProver_def
    | host(X1) != sP2_iProver_def
    | ~ elem(m_Down(X1),queue(host(sK6)))
    | ~ elem(m_Down(X0),queue(sP2_iProver_def))
    | ~ setIn(sK6,alive)
    | host(sK6) = sP2_iProver_def ),
    inference(superposition,[status(thm)],[c_2585,c_76609]) ).

cnf(c_77210,plain,
    ( host(X0) != sP4_iProver_def
    | host(X1) != sP2_iProver_def
    | ~ elem(m_Down(X0),queue(sP2_iProver_def))
    | ~ elem(m_Down(X1),sP5_iProver_def)
    | ~ setIn(sK6,alive)
    | sP2_iProver_def = sP4_iProver_def ),
    inference(light_normalisation,[status(thm)],[c_77164,c_2585,c_2586]) ).

cnf(c_77211,plain,
    ( host(X0) != sP4_iProver_def
    | host(X1) != sP2_iProver_def
    | ~ elem(m_Down(X0),queue(sP2_iProver_def))
    | ~ elem(m_Down(X1),sP5_iProver_def) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_77210,c_10372,c_2604]) ).

cnf(c_77229,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(sK6,alive)
    | sP2_iProver_def = sP4_iProver_def ),
    inference(light_normalisation,[status(thm)],[c_77130,c_2585,c_2586]) ).

cnf(c_77230,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_77229,c_10372,c_2604]) ).

cnf(c_77384,plain,
    ( ~ elem(m_Down(X0),queue(sP2_iProver_def))
    | host(X0) != sP4_iProver_def ),
    inference(global_subsumption_just,[status(thm)],[c_77211,c_5362]) ).

cnf(c_77385,plain,
    ( host(X0) != sP4_iProver_def
    | ~ elem(m_Down(X0),queue(sP2_iProver_def)) ),
    inference(renaming,[status(thm)],[c_77384]) ).

cnf(c_77404,plain,
    ( host(X0) != sP4_iProver_def
    | ~ setIn(host(X0),index(down,sP2_iProver_def))
    | ~ elem(m_Down(sK7),sP5_iProver_def) ),
    inference(superposition,[status(thm)],[c_76664,c_77230]) ).

cnf(c_77409,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_77404,c_2584]) ).

cnf(c_77410,plain,
    ( host(X0) != sP4_iProver_def
    | ~ setIn(host(X0),index(down,sP2_iProver_def)) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_77409,c_2605]) ).

cnf(c_77419,plain,
    ~ setIn(host(sK6),index(down,sP2_iProver_def)),
    inference(superposition,[status(thm)],[c_2585,c_77410]) ).

cnf(c_77423,plain,
    ~ setIn(sP4_iProver_def,index(down,sP2_iProver_def)),
    inference(light_normalisation,[status(thm)],[c_77419,c_2585]) ).

cnf(c_79332,plain,
    ( ~ leq(sP2_iProver_def,sP4_iProver_def)
    | sP2_iProver_def = sP4_iProver_def ),
    inference(superposition,[status(thm)],[c_77152,c_131]) ).

cnf(c_79349,plain,
    ~ leq(sP2_iProver_def,sP4_iProver_def),
    inference(forward_subsumption_resolution,[status(thm)],[c_79332,c_10372]) ).

cnf(c_80377,plain,
    leq(sP0_iProver_def,sK10),
    inference(light_normalisation,[status(thm)],[c_1148,c_2581]) ).

cnf(c_80391,plain,
    ~ leq(sP2_iProver_def,sK10),
    inference(light_normalisation,[status(thm)],[c_1184,c_2603]) ).

cnf(c_80866,plain,
    ~ setIn(sK10,index(down,sP2_iProver_def)),
    inference(light_normalisation,[status(thm)],[c_1218,c_2603]) ).

cnf(c_80867,plain,
    ( ~ leq(sP0_iProver_def,sK10)
    | host(sK8) = sK10
    | host(sK5) = sK10
    | leq(sP2_iProver_def,sK10) ),
    inference(superposition,[status(thm)],[c_76825,c_80866]) ).

cnf(c_80868,plain,
    host(sK8) = sK10,
    inference(forward_subsumption_resolution,[status(thm)],[c_80867,c_80391,c_1216,c_80377]) ).

cnf(c_80870,plain,
    ( ~ leq(sP0_iProver_def,X0)
    | host(sK5) = X0
    | X0 = sK10
    | setIn(X0,index(down,sP2_iProver_def))
    | leq(sP2_iProver_def,X0) ),
    inference(demodulation,[status(thm)],[c_76825,c_80868]) ).

cnf(c_81778,plain,
    ( ~ leq(sP0_iProver_def,sP4_iProver_def)
    | host(sK5) = sP4_iProver_def
    | sK10 = sP4_iProver_def
    | leq(sP2_iProver_def,sP4_iProver_def) ),
    inference(superposition,[status(thm)],[c_80870,c_77423]) ).

cnf(c_81781,plain,
    ( host(sK5) = sP4_iProver_def
    | sK10 = sP4_iProver_def ),
    inference(forward_subsumption_resolution,[status(thm)],[c_81778,c_79349,c_77148]) ).

cnf(c_85968,plain,
    ( ~ elem(m_Down(sK5),queue(sP2_iProver_def))
    | sK10 = sP4_iProver_def ),
    inference(superposition,[status(thm)],[c_81781,c_77385]) ).

cnf(c_86010,plain,
    sK10 = sP4_iProver_def,
    inference(forward_subsumption_resolution,[status(thm)],[c_85968,c_76836]) ).

cnf(c_165856,plain,
    ~ elem(sP1_iProver_def,queue(sP2_iProver_def)),
    inference(global_subsumption_just,[status(thm)],[c_6773,c_5563,c_86010]) ).

cnf(c_165858,plain,
    ~ elem(sP1_iProver_def,sK3),
    inference(superposition,[status(thm)],[c_6982,c_165856]) ).

cnf(c_165859,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[c_165858,c_2602]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.11  % Problem  : SWV474+1 : TPTP v8.1.2. Released v4.0.0.
% 0.09/0.12  % Command  : run_iprover %s %d THM
% 0.11/0.32  % Computer : n009.cluster.edu
% 0.11/0.32  % Model    : x86_64 x86_64
% 0.11/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32  % Memory   : 8042.1875MB
% 0.11/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33  % CPULimit : 300
% 0.11/0.33  % WCLimit  : 300
% 0.11/0.33  % DateTime : Fri May  3 00:12:25 EDT 2024
% 0.11/0.33  % CPUTime  : 
% 0.17/0.44  Running first-order theorem proving
% 0.17/0.44  Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 49.78/7.68  % SZS status Started for theBenchmark.p
% 49.78/7.68  % SZS status Theorem for theBenchmark.p
% 49.78/7.68  
% 49.78/7.68  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 49.78/7.68  
% 49.78/7.68  ------  iProver source info
% 49.78/7.68  
% 49.78/7.68  git: date: 2024-05-02 19:28:25 +0000
% 49.78/7.68  git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 49.78/7.68  git: non_committed_changes: false
% 49.78/7.68  
% 49.78/7.68  ------ Parsing...
% 49.78/7.68  ------ Clausification by vclausify_rel  & Parsing by iProver...
% 49.78/7.68  
% 49.78/7.68  ------ Preprocessing... sup_sim: 15  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 
% 49.78/7.68  
% 49.78/7.68  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 49.78/7.68  
% 49.78/7.68  ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 49.78/7.68  ------ Proving...
% 49.78/7.68  ------ Problem Properties 
% 49.78/7.68  
% 49.78/7.68  
% 49.78/7.68  clauses                                 122
% 49.78/7.68  conjectures                             19
% 49.78/7.68  EPR                                     20
% 49.78/7.68  Horn                                    106
% 49.78/7.68  unary                                   66
% 49.78/7.68  binary                                  25
% 49.78/7.68  lits                                    249
% 49.78/7.68  lits eq                                 112
% 49.78/7.68  fd_pure                                 0
% 49.78/7.68  fd_pseudo                               0
% 49.78/7.68  fd_cond                                 1
% 49.78/7.68  fd_pseudo_cond                          12
% 49.78/7.68  AC symbols                              0
% 49.78/7.68  
% 49.78/7.68  ------ Schedule dynamic 5 is on 
% 49.78/7.68  
% 49.78/7.68  ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 49.78/7.68  
% 49.78/7.68  
% 49.78/7.68  ------ 
% 49.78/7.68  Current options:
% 49.78/7.68  ------ 
% 49.78/7.68  
% 49.78/7.68  
% 49.78/7.68  
% 49.78/7.68  
% 49.78/7.68  ------ Proving...
% 49.78/7.68  
% 49.78/7.68  
% 49.78/7.68  % SZS status Theorem for theBenchmark.p
% 49.78/7.68  
% 49.78/7.68  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 49.78/7.68  
% 49.78/7.69  
%------------------------------------------------------------------------------