↑ Up

Vampire---5.0.1.THM-Ref.s

View TPTP
Problem
Process solution in
SystemOnTSTP
Download .tgz
%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : SWV454+1 : TPTP v9.3.1. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM

% Computer : n006.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Tue Sep 29 01:15:51 PM UTC 2026

% Result   : Theorem 3.07s 1.08s
% Output   : Refutation 3.50s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   15
%            Number of leaves      :    2
% Syntax   : Number of formulae    :   32 (  13 unt;   0 def)
%            Number of atoms       :  407 ( 177 equ)
%            Maximal formula atoms :   49 (  12 avg)
%            Number of connectives :  608 ( 233   ~; 131   |; 183   &)
%                                         (   1 <=>;  60  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   34 (  10 avg)
%            Maximal term depth    :    4 (   2 avg)
%            Number of predicates  :    5 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :   25 (  25 usr;  17 con; 0-2 aty)
%            Number of variables   :  211 ( 190   !;  21   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f47,axiom,
    ! [X0,X1,X2] :
      ( elem(X0,cons(X1,X2))
    <=> ( X0 = X1
        | elem(X0,X2) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_46) ).

fof(f67,conjecture,
    ! [X0,X1,X2,X3] :
      ( ( ! [X4,X5] :
            ( setIn(X5,alive)
           => ~ elem(m_Down(X5),queue(host(X4))) )
        & ! [X4,X5] :
            ( elem(m_Down(X5),queue(host(X4)))
           => ~ setIn(X5,alive) )
        & ! [X4,X5] :
            ( elem(m_Down(X5),queue(host(X4)))
           => host(X5) != host(X4) )
        & ! [X4,X5] :
            ( elem(m_Halt(X5),queue(host(X4)))
           => ~ leq(host(X4),host(X5)) )
        & ! [X4,X6,X5] :
            ( elem(m_Ack(X5,X4),queue(host(X6)))
           => ~ leq(host(X4),host(X5)) )
        & ! [X4,X5] :
            ( ( ~ setIn(X4,alive)
              & leq(X5,X4)
              & host(X5) = host(X4) )
           => ~ setIn(X5,alive) )
        & ! [X4,X5] :
            ( ( X5 != X4
              & host(X5) = host(X4) )
           => ( ~ setIn(X4,alive)
              | ~ setIn(X5,alive) ) )
        & ! [X4,X7,X6,X5] :
            ( ( host(X6) != host(X4)
              & setIn(X4,alive)
              & setIn(X6,alive)
              & host(X7) = host(X4)
              & host(X5) = host(X6) )
           => ~ ( elem(m_Down(X5),queue(host(X4)))
                & elem(m_Down(X7),queue(host(X6))) ) )
        & queue(host(X2)) = cons(m_Down(X3),X0) )
     => ( setIn(X2,alive)
       => ( ~ leq(host(X2),host(X3))
         => ( ~ ( ( index(ldr,host(X2)) = host(X3)
                  & index(status,host(X2)) = norm )
                | ( index(status,host(X2)) = wait
                  & host(X3) = host(index(elid,host(X2))) ) )
           => ( ( ! [X4] :
                    ( ( ~ leq(host(X2),X4)
                      & leq(s(zero),X4) )
                   => ( setIn(X4,index(down,host(X2)))
                      | X4 = host(X3) ) )
                & index(status,host(X2)) = elec_1 )
             => ( ~ leq(nbr_proc,host(X2))
               => ! [X4] :
                    ( s(host(X2)) != host(X4)
                   => ( host(X2) = host(X4)
                     => ! [X8,X9] :
                          ( s(host(X2)) != host(X9)
                         => ( host(X2) != host(X9)
                           => ! [X10] :
                                ( ( host(X9) != host(X4)
                                  & setIn(X4,alive)
                                  & setIn(X9,alive)
                                  & host(X8) = host(X4)
                                  & host(X10) = host(X9) )
                               => ~ ( elem(m_Down(X10),X0)
                                    & elem(m_Down(X8),queue(host(X9))) ) ) ) ) ) ) ) ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj) ).

fof(f68,negated_conjecture,
    ~ ! [X0,X1,X2,X3] :
        ( ( ! [X4,X5] :
              ( setIn(X5,alive)
             => ~ elem(m_Down(X5),queue(host(X4))) )
          & ! [X4,X5] :
              ( elem(m_Down(X5),queue(host(X4)))
             => ~ setIn(X5,alive) )
          & ! [X4,X5] :
              ( elem(m_Down(X5),queue(host(X4)))
             => host(X5) != host(X4) )
          & ! [X4,X5] :
              ( elem(m_Halt(X5),queue(host(X4)))
             => ~ leq(host(X4),host(X5)) )
          & ! [X4,X6,X5] :
              ( elem(m_Ack(X5,X4),queue(host(X6)))
             => ~ leq(host(X4),host(X5)) )
          & ! [X4,X5] :
              ( ( ~ setIn(X4,alive)
                & leq(X5,X4)
                & host(X5) = host(X4) )
             => ~ setIn(X5,alive) )
          & ! [X4,X5] :
              ( ( X5 != X4
                & host(X5) = host(X4) )
             => ( ~ setIn(X4,alive)
                | ~ setIn(X5,alive) ) )
          & ! [X4,X7,X6,X5] :
              ( ( host(X6) != host(X4)
                & setIn(X4,alive)
                & setIn(X6,alive)
                & host(X7) = host(X4)
                & host(X5) = host(X6) )
             => ~ ( elem(m_Down(X5),queue(host(X4)))
                  & elem(m_Down(X7),queue(host(X6))) ) )
          & queue(host(X2)) = cons(m_Down(X3),X0) )
       => ( setIn(X2,alive)
         => ( ~ leq(host(X2),host(X3))
           => ( ~ ( ( index(ldr,host(X2)) = host(X3)
                    & index(status,host(X2)) = norm )
                  | ( index(status,host(X2)) = wait
                    & host(X3) = host(index(elid,host(X2))) ) )
             => ( ( ! [X4] :
                      ( ( ~ leq(host(X2),X4)
                        & leq(s(zero),X4) )
                     => ( setIn(X4,index(down,host(X2)))
                        | X4 = host(X3) ) )
                  & index(status,host(X2)) = elec_1 )
               => ( ~ leq(nbr_proc,host(X2))
                 => ! [X4] :
                      ( s(host(X2)) != host(X4)
                     => ( host(X2) = host(X4)
                       => ! [X8,X9] :
                            ( s(host(X2)) != host(X9)
                           => ( host(X2) != host(X9)
                             => ! [X10] :
                                  ( ( host(X9) != host(X4)
                                    & setIn(X4,alive)
                                    & setIn(X9,alive)
                                    & host(X8) = host(X4)
                                    & host(X10) = host(X9) )
                                 => ~ ( elem(m_Down(X10),X0)
                                      & elem(m_Down(X8),queue(host(X9))) ) ) ) ) ) ) ) ) ) ) ) ),
    inference(negated_conjecture,[status(cth)],[f67]) ).

fof(f69,plain,
    ~ ! [X0,X2,X3] :
        ( ( ! [X4,X5] :
              ( setIn(X5,alive)
             => ~ elem(m_Down(X5),queue(host(X4))) )
          & ! [X6,X7] :
              ( elem(m_Down(X7),queue(host(X6)))
             => ~ setIn(X7,alive) )
          & ! [X8,X9] :
              ( elem(m_Down(X9),queue(host(X8)))
             => host(X9) != host(X8) )
          & ! [X10,X11] :
              ( elem(m_Halt(X11),queue(host(X10)))
             => ~ leq(host(X10),host(X11)) )
          & ! [X12,X13,X14] :
              ( elem(m_Ack(X14,X12),queue(host(X13)))
             => ~ leq(host(X12),host(X14)) )
          & ! [X15,X16] :
              ( ( ~ setIn(X15,alive)
                & leq(X16,X15)
                & host(X15) = host(X16) )
             => ~ setIn(X16,alive) )
          & ! [X17,X18] :
              ( ( X17 != X18
                & host(X17) = host(X18) )
             => ( ~ setIn(X17,alive)
                | ~ setIn(X18,alive) ) )
          & ! [X19,X20,X21,X22] :
              ( ( host(X19) != host(X21)
                & setIn(X19,alive)
                & setIn(X21,alive)
                & host(X19) = host(X20)
                & host(X21) = host(X22) )
             => ~ ( elem(m_Down(X22),queue(host(X19)))
                  & elem(m_Down(X20),queue(host(X21))) ) )
          & queue(host(X2)) = cons(m_Down(X3),X0) )
       => ( setIn(X2,alive)
         => ( ~ leq(host(X2),host(X3))
           => ( ~ ( ( index(ldr,host(X2)) = host(X3)
                    & index(status,host(X2)) = norm )
                  | ( index(status,host(X2)) = wait
                    & host(X3) = host(index(elid,host(X2))) ) )
             => ( ( ! [X23] :
                      ( ( ~ leq(host(X2),X23)
                        & leq(s(zero),X23) )
                     => ( setIn(X23,index(down,host(X2)))
                        | host(X3) = X23 ) )
                  & index(status,host(X2)) = elec_1 )
               => ( ~ leq(nbr_proc,host(X2))
                 => ! [X24] :
                      ( s(host(X2)) != host(X24)
                     => ( host(X2) = host(X24)
                       => ! [X25,X26] :
                            ( s(host(X2)) != host(X26)
                           => ( host(X2) != host(X26)
                             => ! [X27] :
                                  ( ( host(X24) != host(X26)
                                    & setIn(X24,alive)
                                    & setIn(X26,alive)
                                    & host(X24) = host(X25)
                                    & host(X26) = host(X27) )
                                 => ~ ( elem(m_Down(X27),X0)
                                      & elem(m_Down(X25),queue(host(X26))) ) ) ) ) ) ) ) ) ) ) ) ),
    inference(rectify,[],[f68]) ).

fof(f85,plain,
    ? [X0,X2,X3] :
      ( ? [X24] :
          ( ? [X25,X26] :
              ( ? [X27] :
                  ( elem(m_Down(X27),X0)
                  & elem(m_Down(X25),queue(host(X26)))
                  & host(X24) != host(X26)
                  & setIn(X24,alive)
                  & setIn(X26,alive)
                  & host(X24) = host(X25)
                  & host(X26) = host(X27) )
              & host(X2) != host(X26)
              & s(host(X2)) != host(X26) )
          & host(X2) = host(X24)
          & s(host(X2)) != host(X24) )
      & ~ leq(nbr_proc,host(X2))
      & ! [X23] :
          ( setIn(X23,index(down,host(X2)))
          | host(X3) = X23
          | leq(host(X2),X23)
          | ~ leq(s(zero),X23) )
      & index(status,host(X2)) = elec_1
      & ( host(X3) != index(ldr,host(X2))
        | norm != index(status,host(X2)) )
      & ( wait != index(status,host(X2))
        | host(X3) != host(index(elid,host(X2))) )
      & ~ leq(host(X2),host(X3))
      & setIn(X2,alive)
      & ! [X4,X5] :
          ( ~ elem(m_Down(X5),queue(host(X4)))
          | ~ setIn(X5,alive) )
      & ! [X6,X7] :
          ( ~ setIn(X7,alive)
          | ~ elem(m_Down(X7),queue(host(X6))) )
      & ! [X8,X9] :
          ( host(X9) != host(X8)
          | ~ elem(m_Down(X9),queue(host(X8))) )
      & ! [X10,X11] :
          ( ~ leq(host(X10),host(X11))
          | ~ elem(m_Halt(X11),queue(host(X10))) )
      & ! [X12,X13,X14] :
          ( ~ leq(host(X12),host(X14))
          | ~ elem(m_Ack(X14,X12),queue(host(X13))) )
      & ! [X15,X16] :
          ( ~ setIn(X16,alive)
          | setIn(X15,alive)
          | ~ leq(X16,X15)
          | host(X15) != host(X16) )
      & ! [X17,X18] :
          ( ~ setIn(X17,alive)
          | ~ setIn(X18,alive)
          | X17 = X18
          | host(X17) != host(X18) )
      & ! [X19,X20,X21,X22] :
          ( ~ elem(m_Down(X22),queue(host(X19)))
          | ~ elem(m_Down(X20),queue(host(X21)))
          | host(X19) = host(X21)
          | ~ setIn(X19,alive)
          | ~ setIn(X21,alive)
          | host(X19) != host(X20)
          | host(X21) != host(X22) )
      & queue(host(X2)) = cons(m_Down(X3),X0) ),
    inference(ennf_transformation,[],[f69]) ).

fof(f86,plain,
    ? [X0,X2,X3] :
      ( ? [X24] :
          ( ? [X25,X26] :
              ( ? [X27] :
                  ( elem(m_Down(X27),X0)
                  & elem(m_Down(X25),queue(host(X26)))
                  & host(X24) != host(X26)
                  & setIn(X24,alive)
                  & setIn(X26,alive)
                  & host(X24) = host(X25)
                  & host(X26) = host(X27) )
              & host(X2) != host(X26)
              & s(host(X2)) != host(X26) )
          & host(X2) = host(X24)
          & s(host(X2)) != host(X24) )
      & ~ leq(nbr_proc,host(X2))
      & ! [X23] :
          ( setIn(X23,index(down,host(X2)))
          | host(X3) = X23
          | leq(host(X2),X23)
          | ~ leq(s(zero),X23) )
      & index(status,host(X2)) = elec_1
      & ( host(X3) != index(ldr,host(X2))
        | norm != index(status,host(X2)) )
      & ( wait != index(status,host(X2))
        | host(X3) != host(index(elid,host(X2))) )
      & ~ leq(host(X2),host(X3))
      & setIn(X2,alive)
      & ! [X4,X5] :
          ( ~ elem(m_Down(X5),queue(host(X4)))
          | ~ setIn(X5,alive) )
      & ! [X6,X7] :
          ( ~ setIn(X7,alive)
          | ~ elem(m_Down(X7),queue(host(X6))) )
      & ! [X8,X9] :
          ( host(X9) != host(X8)
          | ~ elem(m_Down(X9),queue(host(X8))) )
      & ! [X10,X11] :
          ( ~ leq(host(X10),host(X11))
          | ~ elem(m_Halt(X11),queue(host(X10))) )
      & ! [X12,X13,X14] :
          ( ~ leq(host(X12),host(X14))
          | ~ elem(m_Ack(X14,X12),queue(host(X13))) )
      & ! [X15,X16] :
          ( ~ setIn(X16,alive)
          | setIn(X15,alive)
          | ~ leq(X16,X15)
          | host(X15) != host(X16) )
      & ! [X17,X18] :
          ( ~ setIn(X17,alive)
          | ~ setIn(X18,alive)
          | X17 = X18
          | host(X17) != host(X18) )
      & ! [X19,X20,X21,X22] :
          ( ~ elem(m_Down(X22),queue(host(X19)))
          | ~ elem(m_Down(X20),queue(host(X21)))
          | host(X19) = host(X21)
          | ~ setIn(X19,alive)
          | ~ setIn(X21,alive)
          | host(X19) != host(X20)
          | host(X21) != host(X22) )
      & queue(host(X2)) = cons(m_Down(X3),X0) ),
    inference(flattening,[],[f85]) ).

fof(f92,plain,
    ! [X0,X1,X2] :
      ( ( elem(X0,cons(X1,X2))
        | ( X0 != X1
          & ~ elem(X0,X2) ) )
      & ( X0 = X1
        | elem(X0,X2)
        | ~ elem(X0,cons(X1,X2)) ) ),
    inference(nnf_transformation,[],[f47]) ).

fof(f93,plain,
    ! [X0,X1,X2] :
      ( ( elem(X0,cons(X1,X2))
        | ( X0 != X1
          & ~ elem(X0,X2) ) )
      & ( X0 = X1
        | elem(X0,X2)
        | ~ elem(X0,cons(X1,X2)) ) ),
    inference(flattening,[],[f92]) ).

fof(f112,plain,
    ? [X0,X1,X2] :
      ( ? [X3] :
          ( ? [X4,X5] :
              ( ? [X6] :
                  ( elem(m_Down(X6),X0)
                  & elem(m_Down(X4),queue(host(X5)))
                  & host(X5) != host(X3)
                  & setIn(X3,alive)
                  & setIn(X5,alive)
                  & host(X4) = host(X3)
                  & host(X5) = host(X6) )
              & host(X1) != host(X5)
              & host(X5) != s(host(X1)) )
          & host(X1) = host(X3)
          & host(X3) != s(host(X1)) )
      & ~ leq(nbr_proc,host(X1))
      & ! [X7] :
          ( setIn(X7,index(down,host(X1)))
          | host(X2) = X7
          | leq(host(X1),X7)
          | ~ leq(s(zero),X7) )
      & elec_1 = index(status,host(X1))
      & ( host(X2) != index(ldr,host(X1))
        | norm != index(status,host(X1)) )
      & ( wait != index(status,host(X1))
        | host(X2) != host(index(elid,host(X1))) )
      & ~ leq(host(X1),host(X2))
      & setIn(X1,alive)
      & ! [X8,X9] :
          ( ~ elem(m_Down(X9),queue(host(X8)))
          | ~ setIn(X9,alive) )
      & ! [X10,X11] :
          ( ~ setIn(X11,alive)
          | ~ elem(m_Down(X11),queue(host(X10))) )
      & ! [X12,X13] :
          ( host(X13) != host(X12)
          | ~ elem(m_Down(X13),queue(host(X12))) )
      & ! [X14,X15] :
          ( ~ leq(host(X14),host(X15))
          | ~ elem(m_Halt(X15),queue(host(X14))) )
      & ! [X16,X17,X18] :
          ( ~ leq(host(X16),host(X18))
          | ~ elem(m_Ack(X18,X16),queue(host(X17))) )
      & ! [X19,X20] :
          ( ~ setIn(X20,alive)
          | setIn(X19,alive)
          | ~ leq(X20,X19)
          | host(X19) != host(X20) )
      & ! [X21,X22] :
          ( ~ setIn(X21,alive)
          | ~ setIn(X22,alive)
          | X21 = X22
          | host(X21) != host(X22) )
      & ! [X23,X24,X25,X26] :
          ( ~ elem(m_Down(X26),queue(host(X23)))
          | ~ elem(m_Down(X24),queue(host(X25)))
          | host(X25) = host(X23)
          | ~ setIn(X23,alive)
          | ~ setIn(X25,alive)
          | host(X24) != host(X23)
          | host(X26) != host(X25) )
      & queue(host(X1)) = cons(m_Down(X2),X0) ),
    inference(rectify,[],[f86]) ).

fof(f113,plain,
    ( elem(m_Down(sK9),sK3)
    & elem(m_Down(sK7),queue(host(sK8)))
    & host(sK8) != host(sK6)
    & setIn(sK6,alive)
    & setIn(sK8,alive)
    & host(sK6) = host(sK7)
    & host(sK8) = host(sK9)
    & host(sK8) != host(sK4)
    & host(sK8) != s(host(sK4))
    & host(sK6) = host(sK4)
    & host(sK6) != s(host(sK4))
    & ~ leq(nbr_proc,host(sK4))
    & ! [X7] :
        ( setIn(X7,index(down,host(sK4)))
        | host(sK5) = X7
        | leq(host(sK4),X7)
        | ~ leq(s(zero),X7) )
    & elec_1 = index(status,host(sK4))
    & ( host(sK5) != index(ldr,host(sK4))
      | norm != index(status,host(sK4)) )
    & ( wait != index(status,host(sK4))
      | host(sK5) != host(index(elid,host(sK4))) )
    & ~ leq(host(sK4),host(sK5))
    & setIn(sK4,alive)
    & ! [X8,X9] :
        ( ~ elem(m_Down(X9),queue(host(X8)))
        | ~ setIn(X9,alive) )
    & ! [X10,X11] :
        ( ~ setIn(X11,alive)
        | ~ elem(m_Down(X11),queue(host(X10))) )
    & ! [X12,X13] :
        ( host(X13) != host(X12)
        | ~ elem(m_Down(X13),queue(host(X12))) )
    & ! [X14,X15] :
        ( ~ leq(host(X14),host(X15))
        | ~ elem(m_Halt(X15),queue(host(X14))) )
    & ! [X16,X17,X18] :
        ( ~ leq(host(X16),host(X18))
        | ~ elem(m_Ack(X18,X16),queue(host(X17))) )
    & ! [X19,X20] :
        ( ~ setIn(X20,alive)
        | setIn(X19,alive)
        | ~ leq(X20,X19)
        | host(X19) != host(X20) )
    & ! [X21,X22] :
        ( ~ setIn(X21,alive)
        | ~ setIn(X22,alive)
        | X21 = X22
        | host(X21) != host(X22) )
    & ! [X23,X24,X25,X26] :
        ( ~ elem(m_Down(X26),queue(host(X23)))
        | ~ elem(m_Down(X24),queue(host(X25)))
        | host(X25) = host(X23)
        | ~ setIn(X23,alive)
        | ~ setIn(X25,alive)
        | host(X24) != host(X23)
        | host(X26) != host(X25) )
    & queue(host(sK4)) = cons(m_Down(sK5),sK3) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK3,sK4,sK5,sK6,sK7,sK8,sK9]),skolemize(X0,sK3),skolemize(X1,sK4),skolemize(X2,sK5),skolemize(X3,sK6),skolemize(X4,sK7),skolemize(X5,sK8),skolemize(X6,sK9)],[f112]) ).

fof(f167,plain,
    ! [X2,X0,X1] :
      ( elem(X0,cons(X1,X2))
      | ~ elem(X0,X2) ),
    inference(cnf_transformation,[],[f93]) ).

fof(f210,plain,
    queue(host(sK4)) = cons(m_Down(sK5),sK3),
    inference(cnf_transformation,[],[f113]) ).

fof(f211,plain,
    ! [X26,X24,X25,X23] :
      ( ~ setIn(X23,alive)
      | ~ elem(m_Down(X24),queue(host(X25)))
      | host(X25) = host(X23)
      | ~ elem(m_Down(X26),queue(host(X23)))
      | ~ setIn(X25,alive)
      | host(X24) != host(X23)
      | host(X26) != host(X25) ),
    inference(cnf_transformation,[],[f113]) ).

fof(f219,plain,
    setIn(sK4,alive),
    inference(cnf_transformation,[],[f113]) ).

fof(f227,plain,
    host(sK6) = host(sK4),
    inference(cnf_transformation,[],[f113]) ).

fof(f229,plain,
    host(sK8) != host(sK4),
    inference(cnf_transformation,[],[f113]) ).

fof(f230,plain,
    host(sK8) = host(sK9),
    inference(cnf_transformation,[],[f113]) ).

fof(f231,plain,
    host(sK6) = host(sK7),
    inference(cnf_transformation,[],[f113]) ).

fof(f232,plain,
    setIn(sK8,alive),
    inference(cnf_transformation,[],[f113]) ).

fof(f235,plain,
    elem(m_Down(sK7),queue(host(sK8))),
    inference(cnf_transformation,[],[f113]) ).

fof(f236,plain,
    elem(m_Down(sK9),sK3),
    inference(cnf_transformation,[],[f113]) ).

fof(f268,plain,
    host(sK7) = host(sK4),
    inference(forward_demodulation,[],[f231,f227]) ).

fof(f306,plain,
    ! [X2,X0,X1] :
      ( ~ elem(m_Down(X2),queue(host(sK8)))
      | host(X1) = host(sK8)
      | ~ elem(m_Down(X0),queue(host(X1)))
      | ~ setIn(X1,alive)
      | host(X0) != host(sK8)
      | host(X1) != host(X2) ),
    inference(resolution,[],[f211,f232]) ).

fof(f320,plain,
    ! [X0,X1] :
      ( host(X0) = host(sK8)
      | ~ elem(m_Down(X1),queue(host(X0)))
      | ~ setIn(X0,alive)
      | host(X1) != host(sK8)
      | host(X0) != host(sK7) ),
    inference(resolution,[],[f306,f235]) ).

fof(f323,plain,
    ! [X0,X1] :
      ( ~ setIn(X0,alive)
      | host(X0) = host(sK8)
      | ~ elem(m_Down(X1),queue(host(X0)))
      | host(X0) != host(sK4)
      | host(X1) != host(sK8) ),
    inference(forward_demodulation,[],[f320,f268]) ).

fof(f324,plain,
    ! [X0] :
      ( host(sK8) = host(sK4)
      | ~ elem(m_Down(X0),queue(host(sK4)))
      | host(sK4) != host(sK4)
      | host(X0) != host(sK8) ),
    inference(resolution,[],[f323,f219]) ).

fof(f327,plain,
    ! [X0] :
      ( host(sK8) = host(sK4)
      | ~ elem(m_Down(X0),queue(host(sK4)))
      | host(X0) != host(sK8) ),
    inference(trivial_inequality_removal,[],[f324]) ).

fof(f329,plain,
    ! [X0] :
      ( ~ elem(m_Down(X0),queue(host(sK4)))
      | host(X0) != host(sK8) ),
    inference(forward_subsumption_resolution,[],[f327,f229]) ).

fof(f526,plain,
    ! [X0] :
      ( ~ elem(X0,sK3)
      | elem(X0,queue(host(sK4))) ),
    inference(superposition,[],[f167,f210]) ).

fof(f527,plain,
    elem(m_Down(sK9),queue(host(sK4))),
    inference(resolution,[],[f526,f236]) ).

fof(f529,plain,
    host(sK8) != host(sK9),
    inference(resolution,[],[f527,f329]) ).

fof(f534,plain,
    $false,
    inference(forward_subsumption_resolution,[],[f529,f230]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : SWV454+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05  % Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.18  % Computer : n006.cluster.edu
% 0.08/0.18  % Model    : x86_64 x86_64
% 0.08/0.18  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.18  % Memory   : 8046.5625MB
% 0.08/0.18  % OS       : Linux 6.8.0-71-generic
% 0.08/0.18  % CPULimit : 300
% 0.08/0.18  % WCLimit  : 300
% 0.08/0.18  % DateTime : Mon Sep 28 11:08:55 UTC 2026
% 0.08/0.18  % CPUTime  : 
% 0.08/0.18  Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.22  Running first-order theorem proving
% 0.08/0.22  Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 3.07/1.08  % (3891620)Detected formulas, will run a generic FOF schedule.
% 3.07/1.08  % (3891627)lrs+1010_1_anc=all:sfv=off:to=kbo:ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:prc=on:sos=all:bsr=unit_only:sac=on:random_seed=2531630505:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 3.07/1.08  % (3891630)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1330352548:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 3.07/1.08  % (3891625)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=2374064433:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 3.07/1.08  % (3891629)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2142746455:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 3.07/1.08  % (3891631)dis-21_1_sil=8000:lcm=predicate:random_seed=1109598507:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 3.07/1.08  % (3891628)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2431832688:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 3.07/1.08  % (3891626)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=1246933214:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 3.07/1.08  % (3891630)First to succeed.
% 3.07/1.08  % (3891629)Also succeeded, but the first one will report.
% 3.07/1.08  % (3891630)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3891620"
% 3.07/1.08  % (3891628)Also succeeded, but the first one will report.
% 3.07/1.08  % (3891631)Instruction limit reached! 
% 3.07/1.08  % (3891631)------------------------------
% 3.07/1.08  % (3891631)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.07/1.08  % (3891631)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.07/1.08  % (3891631)CaDiCaL version: 2.1.3
% 3.07/1.08  % (3891631)Termination reason: Instruction limit
% 3.07/1.08  % (3891631)Termination phase: Saturation
% 3.07/1.08  % (3891631)Time elapsed: 0.060 s
% 3.07/1.08  % (3891631)Peak memory usage: 90 MB
% 3.07/1.08  % (3891631)Instructions burned: 129 (million)
% 3.07/1.08  % (3891639)lrs+10_1_sil=8000:sp=occurrence:random_seed=825879710:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 3.07/1.08  % (3891639)Also succeeded, but the first one will report.
% 3.07/1.08  % (3891630)Refutation found. Thanks to Tanya!
% 3.07/1.08  % SZS status Theorem for theBenchmark
% 3.07/1.08  % SZS output start Proof for theBenchmark
% See solution above
% 3.50/1.17  % (3891630)------------------------------
% 3.50/1.17  % (3891630)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.50/1.17  % (3891630)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.50/1.17  % (3891630)CaDiCaL version: 2.1.3
% 3.50/1.17  % (3891630)Termination reason: Refutation
% 3.50/1.17  % (3891630)Time elapsed: 0.014 s
% 3.50/1.17  % (3891630)Peak memory usage: 89 MB
% 3.50/1.17  % (3891630)Instructions burned: 20 (million)
% 3.50/1.17  % (3891630)------------------------------
% 3.50/1.17  % (3891630)------------------------------
% 3.50/1.17  % (3891620)Success in time 0.42 s
% 3.50/1.17  % Vampire exiting
%------------------------------------------------------------------------------