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Vampire---5.0.1.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : SWV451+1 : TPTP v9.3.1. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM

% Computer : n018.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 01:15:50 PM UTC 2026

% Result   : Theorem 3.10s 1.12s
% Output   : Refutation 3.85s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   23
%            Number of leaves      :   13
% Syntax   : Number of formulae    :  122 (  32 unt;   9 def)
%            Number of atoms       :  645 ( 241 equ)
%            Maximal formula atoms :   51 (   5 avg)
%            Number of connectives :  870 ( 347   ~; 245   |; 209   &)
%                                         (   9 <=>;  60  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   39 (   5 avg)
%            Maximal term depth    :    5 (   1 avg)
%            Number of predicates  :   14 (  12 usr;   7 prp; 0-2 aty)
%            Number of functors    :   26 (  26 usr;  16 con; 0-2 aty)
%            Number of variables   :  258 (   0 sgn 234   !;  24   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f18,axiom,
    ! [X0,X1] : m_Down(X0) != m_Halt(X1),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_17) ).

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

fof(f48,axiom,
    ! [X0,X1,X2] :
      ( elem(X0,snoc(X2,X1))
    <=> ( X0 = X1
        | elem(X0,X2) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_47) ).

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(X3)) = cons(m_NotNorm(X2),X0) )
     => ( setIn(X3,alive)
       => ( ( index(ldr,host(X3)) = host(X3)
            & index(status,host(X3)) = norm
            & index(elid,host(X3)) = X2 )
         => ( ( ! [X4] :
                  ( host(X3) = host(X4)
                 => leq(X4,X1) )
              & ~ setIn(X1,pids)
              & host(X3) = host(X1) )
           => ( host(X1) = s(zero)
             => ( ~ leq(nbr_proc,host(X1))
               => ! [X4] :
                    ( s(host(X1)) = host(X4)
                   => ( host(X3) != host(X4)
                     => ! [X8,X9] :
                          ( s(host(X1)) != host(X9)
                         => ( host(X3) = host(X9)
                           => ! [X10] :
                                ( ( ( ( X4 != X3
                                      & setIn(X4,alive) )
                                    | X4 = X1 )
                                  & ( ( X9 != X3
                                      & setIn(X9,alive) )
                                    | X9 = X1 )
                                  & host(X9) != host(X4)
                                  & host(X8) = host(X4)
                                  & host(X10) = host(X9) )
                               => ~ ( elem(m_Down(X8),X0)
                                    & elem(m_Down(X10),snoc(queue(host(X4)),m_Halt(X1))) ) ) ) ) ) ) ) ) ) ) ) ),
    file('/export/starexec/sandbox/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(X3)) = cons(m_NotNorm(X2),X0) )
       => ( setIn(X3,alive)
         => ( ( index(ldr,host(X3)) = host(X3)
              & index(status,host(X3)) = norm
              & index(elid,host(X3)) = X2 )
           => ( ( ! [X4] :
                    ( host(X3) = host(X4)
                   => leq(X4,X1) )
                & ~ setIn(X1,pids)
                & host(X3) = host(X1) )
             => ( host(X1) = s(zero)
               => ( ~ leq(nbr_proc,host(X1))
                 => ! [X4] :
                      ( s(host(X1)) = host(X4)
                     => ( host(X3) != host(X4)
                       => ! [X8,X9] :
                            ( s(host(X1)) != host(X9)
                           => ( host(X3) = host(X9)
                             => ! [X10] :
                                  ( ( ( ( X4 != X3
                                        & setIn(X4,alive) )
                                      | X4 = X1 )
                                    & ( ( X9 != X3
                                        & setIn(X9,alive) )
                                      | X9 = X1 )
                                    & host(X9) != host(X4)
                                    & host(X8) = host(X4)
                                    & host(X10) = host(X9) )
                                 => ~ ( elem(m_Down(X8),X0)
                                      & elem(m_Down(X10),snoc(queue(host(X4)),m_Halt(X1))) ) ) ) ) ) ) ) ) ) ) ) ),
    inference(negated_conjecture,[status(cth)],[f67]) ).

fof(f69,plain,
    ~ ! [X0,X1,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(X3)) = cons(m_NotNorm(X2),X0) )
       => ( setIn(X3,alive)
         => ( ( index(ldr,host(X3)) = host(X3)
              & index(status,host(X3)) = norm
              & index(elid,host(X3)) = X2 )
           => ( ( ! [X23] :
                    ( host(X3) = host(X23)
                   => leq(X23,X1) )
                & ~ setIn(X1,pids)
                & host(X3) = host(X1) )
             => ( host(X1) = s(zero)
               => ( ~ leq(nbr_proc,host(X1))
                 => ! [X24] :
                      ( s(host(X1)) = host(X24)
                     => ( host(X3) != host(X24)
                       => ! [X25,X26] :
                            ( s(host(X1)) != host(X26)
                           => ( host(X3) = host(X26)
                             => ! [X27] :
                                  ( ( ( ( X3 != X24
                                        & setIn(X24,alive) )
                                      | X1 = X24 )
                                    & ( ( X3 != X26
                                        & setIn(X26,alive) )
                                      | X1 = X26 )
                                    & host(X24) != host(X26)
                                    & host(X24) = host(X25)
                                    & host(X26) = host(X27) )
                                 => ~ ( elem(m_Down(X25),X0)
                                      & elem(m_Down(X27),snoc(queue(host(X24)),m_Halt(X1))) ) ) ) ) ) ) ) ) ) ) ) ),
    inference(rectify,[],[f68]) ).

fof(f70,plain,
    ? [X0,X1,X2,X3] :
      ( ? [X24] :
          ( ? [X25,X26] :
              ( ? [X27] :
                  ( elem(m_Down(X25),X0)
                  & elem(m_Down(X27),snoc(queue(host(X24)),m_Halt(X1)))
                  & ( ( X3 != X24
                      & setIn(X24,alive) )
                    | X1 = X24 )
                  & ( ( X3 != X26
                      & setIn(X26,alive) )
                    | X1 = X26 )
                  & host(X24) != host(X26)
                  & host(X24) = host(X25)
                  & host(X26) = host(X27) )
              & host(X3) = host(X26)
              & s(host(X1)) != host(X26) )
          & host(X3) != host(X24)
          & s(host(X1)) = host(X24) )
      & ~ leq(nbr_proc,host(X1))
      & host(X1) = s(zero)
      & ! [X23] :
          ( leq(X23,X1)
          | host(X3) != host(X23) )
      & ~ setIn(X1,pids)
      & host(X3) = host(X1)
      & index(ldr,host(X3)) = host(X3)
      & index(status,host(X3)) = norm
      & index(elid,host(X3)) = X2
      & setIn(X3,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(X3)) = cons(m_NotNorm(X2),X0) ),
    inference(ennf_transformation,[],[f69]) ).

fof(f71,plain,
    ? [X0,X1,X2,X3] :
      ( ? [X24] :
          ( ? [X25,X26] :
              ( ? [X27] :
                  ( elem(m_Down(X25),X0)
                  & elem(m_Down(X27),snoc(queue(host(X24)),m_Halt(X1)))
                  & ( ( X3 != X24
                      & setIn(X24,alive) )
                    | X1 = X24 )
                  & ( ( X3 != X26
                      & setIn(X26,alive) )
                    | X1 = X26 )
                  & host(X24) != host(X26)
                  & host(X24) = host(X25)
                  & host(X26) = host(X27) )
              & host(X3) = host(X26)
              & s(host(X1)) != host(X26) )
          & host(X3) != host(X24)
          & s(host(X1)) = host(X24) )
      & ~ leq(nbr_proc,host(X1))
      & host(X1) = s(zero)
      & ! [X23] :
          ( leq(X23,X1)
          | host(X3) != host(X23) )
      & ~ setIn(X1,pids)
      & host(X3) = host(X1)
      & index(ldr,host(X3)) = host(X3)
      & index(status,host(X3)) = norm
      & index(elid,host(X3)) = X2
      & setIn(X3,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(X3)) = cons(m_NotNorm(X2),X0) ),
    inference(flattening,[],[f70]) ).

fof(f79,plain,
    ? [X0,X1,X2,X3] :
      ( ? [X4] :
          ( ? [X5,X6] :
              ( ? [X7] :
                  ( elem(m_Down(X5),X0)
                  & elem(m_Down(X7),snoc(queue(host(X4)),m_Halt(X1)))
                  & ( ( X3 != X4
                      & setIn(X4,alive) )
                    | X1 = X4 )
                  & ( ( X3 != X6
                      & setIn(X6,alive) )
                    | X1 = X6 )
                  & host(X4) != host(X6)
                  & host(X4) = host(X5)
                  & host(X6) = host(X7) )
              & host(X6) = host(X3)
              & host(X6) != s(host(X1)) )
          & host(X4) != host(X3)
          & host(X4) = s(host(X1)) )
      & ~ leq(nbr_proc,host(X1))
      & host(X1) = s(zero)
      & ! [X8] :
          ( leq(X8,X1)
          | host(X3) != host(X8) )
      & ~ setIn(X1,pids)
      & host(X3) = host(X1)
      & index(ldr,host(X3)) = host(X3)
      & index(status,host(X3)) = norm
      & index(elid,host(X3)) = X2
      & setIn(X3,alive)
      & ! [X9,X10] :
          ( ~ elem(m_Down(X10),queue(host(X9)))
          | ~ setIn(X10,alive) )
      & ! [X11,X12] :
          ( ~ setIn(X12,alive)
          | ~ elem(m_Down(X12),queue(host(X11))) )
      & ! [X13,X14] :
          ( host(X13) != host(X14)
          | ~ elem(m_Down(X14),queue(host(X13))) )
      & ! [X15,X16] :
          ( ~ leq(host(X15),host(X16))
          | ~ elem(m_Halt(X16),queue(host(X15))) )
      & ! [X17,X18,X19] :
          ( ~ leq(host(X17),host(X19))
          | ~ elem(m_Ack(X19,X17),queue(host(X18))) )
      & ! [X20,X21] :
          ( ~ setIn(X21,alive)
          | setIn(X20,alive)
          | ~ leq(X21,X20)
          | host(X21) != host(X20) )
      & ! [X22,X23] :
          ( ~ setIn(X22,alive)
          | ~ setIn(X23,alive)
          | X22 = X23
          | host(X22) != host(X23) )
      & ! [X24,X25,X26,X27] :
          ( ~ elem(m_Down(X27),queue(host(X24)))
          | ~ 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) )
      & queue(host(X3)) = cons(m_NotNorm(X2),X0) ),
    inference(rectify,[],[f71]) ).

fof(f80,plain,
    ( elem(m_Down(sK5),sK0)
    & elem(m_Down(sK7),snoc(queue(host(sK4)),m_Halt(sK1)))
    & ( ( sK3 != sK4
        & setIn(sK4,alive) )
      | sK1 = sK4 )
    & ( ( sK3 != sK6
        & setIn(sK6,alive) )
      | sK1 = sK6 )
    & host(sK4) != host(sK6)
    & host(sK4) = host(sK5)
    & host(sK6) = host(sK7)
    & host(sK6) = host(sK3)
    & host(sK6) != s(host(sK1))
    & host(sK4) != host(sK3)
    & host(sK4) = s(host(sK1))
    & ~ leq(nbr_proc,host(sK1))
    & s(zero) = host(sK1)
    & ! [X8] :
        ( leq(X8,sK1)
        | host(X8) != host(sK3) )
    & ~ setIn(sK1,pids)
    & host(sK3) = host(sK1)
    & host(sK3) = index(ldr,host(sK3))
    & norm = index(status,host(sK3))
    & sK2 = index(elid,host(sK3))
    & setIn(sK3,alive)
    & ! [X9,X10] :
        ( ~ elem(m_Down(X10),queue(host(X9)))
        | ~ setIn(X10,alive) )
    & ! [X11,X12] :
        ( ~ setIn(X12,alive)
        | ~ elem(m_Down(X12),queue(host(X11))) )
    & ! [X13,X14] :
        ( host(X13) != host(X14)
        | ~ elem(m_Down(X14),queue(host(X13))) )
    & ! [X15,X16] :
        ( ~ leq(host(X15),host(X16))
        | ~ elem(m_Halt(X16),queue(host(X15))) )
    & ! [X17,X18,X19] :
        ( ~ leq(host(X17),host(X19))
        | ~ elem(m_Ack(X19,X17),queue(host(X18))) )
    & ! [X20,X21] :
        ( ~ setIn(X21,alive)
        | setIn(X20,alive)
        | ~ leq(X21,X20)
        | host(X21) != host(X20) )
    & ! [X22,X23] :
        ( ~ setIn(X22,alive)
        | ~ setIn(X23,alive)
        | X22 = X23
        | host(X22) != host(X23) )
    & ! [X24,X25,X26,X27] :
        ( ~ elem(m_Down(X27),queue(host(X24)))
        | ~ 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) )
    & queue(host(sK3)) = cons(m_NotNorm(sK2),sK0) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4,sK5,sK6,sK7]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2),skolemize(X3,sK3),skolemize(X4,sK4),skolemize(X5,sK5),skolemize(X6,sK6),skolemize(X7,sK7)],[f79]) ).

fof(f81,plain,
    ! [X0,X1,X2] :
      ( ( elem(X0,snoc(X2,X1))
        | ( X0 != X1
          & ~ elem(X0,X2) ) )
      & ( X0 = X1
        | elem(X0,X2)
        | ~ elem(X0,snoc(X2,X1)) ) ),
    inference(nnf_transformation,[],[f48]) ).

fof(f82,plain,
    ! [X0,X1,X2] :
      ( ( elem(X0,snoc(X2,X1))
        | ( X0 != X1
          & ~ elem(X0,X2) ) )
      & ( X0 = X1
        | elem(X0,X2)
        | ~ elem(X0,snoc(X2,X1)) ) ),
    inference(flattening,[],[f81]) ).

fof(f83,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(f84,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,[],[f83]) ).

fof(f93,plain,
    queue(host(sK3)) = cons(m_NotNorm(sK2),sK0),
    inference(cnf_transformation,[],[f80]) ).

fof(f94,plain,
    ! [X26,X27,X24,X25] :
      ( ~ elem(m_Down(X27),queue(host(X24)))
      | ~ 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) ),
    inference(cnf_transformation,[],[f80]) ).

fof(f95,plain,
    ! [X22,X23] :
      ( host(X22) != host(X23)
      | ~ setIn(X23,alive)
      | X22 = X23
      | ~ setIn(X22,alive) ),
    inference(cnf_transformation,[],[f80]) ).

fof(f96,plain,
    ! [X21,X20] :
      ( host(X21) != host(X20)
      | setIn(X20,alive)
      | ~ leq(X21,X20)
      | ~ setIn(X21,alive) ),
    inference(cnf_transformation,[],[f80]) ).

fof(f99,plain,
    ! [X14,X13] :
      ( host(X13) != host(X14)
      | ~ elem(m_Down(X14),queue(host(X13))) ),
    inference(cnf_transformation,[],[f80]) ).

fof(f102,plain,
    setIn(sK3,alive),
    inference(cnf_transformation,[],[f80]) ).

fof(f106,plain,
    host(sK3) = host(sK1),
    inference(cnf_transformation,[],[f80]) ).

fof(f108,plain,
    ! [X8] :
      ( leq(X8,sK1)
      | host(X8) != host(sK3) ),
    inference(cnf_transformation,[],[f80]) ).

fof(f111,plain,
    host(sK4) = s(host(sK1)),
    inference(cnf_transformation,[],[f80]) ).

fof(f112,plain,
    host(sK4) != host(sK3),
    inference(cnf_transformation,[],[f80]) ).

fof(f114,plain,
    host(sK6) = host(sK3),
    inference(cnf_transformation,[],[f80]) ).

fof(f115,plain,
    host(sK6) = host(sK7),
    inference(cnf_transformation,[],[f80]) ).

fof(f116,plain,
    host(sK4) = host(sK5),
    inference(cnf_transformation,[],[f80]) ).

fof(f118,plain,
    ( setIn(sK6,alive)
    | sK1 = sK6 ),
    inference(cnf_transformation,[],[f80]) ).

fof(f120,plain,
    ( setIn(sK4,alive)
    | sK1 = sK4 ),
    inference(cnf_transformation,[],[f80]) ).

fof(f122,plain,
    elem(m_Down(sK7),snoc(queue(host(sK4)),m_Halt(sK1))),
    inference(cnf_transformation,[],[f80]) ).

fof(f123,plain,
    elem(m_Down(sK5),sK0),
    inference(cnf_transformation,[],[f80]) ).

fof(f128,plain,
    ! [X2,X0,X1] :
      ( ~ elem(X0,snoc(X2,X1))
      | elem(X0,X2)
      | X0 = X1 ),
    inference(cnf_transformation,[],[f82]) ).

fof(f132,plain,
    ! [X2,X0,X1] :
      ( elem(X0,cons(X1,X2))
      | ~ elem(X0,X2) ),
    inference(cnf_transformation,[],[f84]) ).

fof(f156,plain,
    ! [X0,X1] : m_Halt(X1) != m_Down(X0),
    inference(cnf_transformation,[],[f18]) ).

fof(f174,definition,
    ~ sP12(host(sK4)),
    introduced(definition,[new_symbols(definition,[sP12])],[inequality_splitting_name_introduction]) ).

fof(f175,plain,
    sP12(host(sK3)),
    inference(inequality_splitting,[],[f112,f174]) ).

fof(f176,definition,
    ~ sP13(host(sK3)),
    introduced(definition,[new_symbols(definition,[sP13])],[inequality_splitting_name_introduction]) ).

fof(f177,plain,
    ! [X8] :
      ( sP13(host(X8))
      | leq(X8,sK1) ),
    inference(inequality_splitting,[],[f108,f176]) ).

fof(f187,plain,
    ! [X26,X27,X24] :
      ( host(X26) != host(X27)
      | ~ elem(m_Down(X27),queue(host(X24)))
      | sP14(X24,X26) ),
    inference(cnf_transformation,[],[f187_D]) ).

fof(f187_D,definition,
    ! [X26,X24] :
      ( ! [X27] :
          ( host(X26) != host(X27)
          | ~ elem(m_Down(X27),queue(host(X24))) )
    <=> ~ sP14(X24,X26) ),
    introduced(definition,[new_symbols(definition,[sP14])],[general_splitting_component_introduction]) ).

fof(f188,plain,
    ! [X26,X24,X25] :
      ( host(X24) != host(X25)
      | host(X24) = host(X26)
      | ~ setIn(X24,alive)
      | ~ setIn(X26,alive)
      | ~ elem(m_Down(X25),queue(host(X26)))
      | ~ sP14(X24,X26) ),
    inference(general_splitting,[],[f94,f187_D]) ).

fof(f189,plain,
    sP12(host(sK1)),
    inference(forward_demodulation,[],[f175,f106]) ).

fof(f190,plain,
    host(sK6) = host(sK1),
    inference(forward_demodulation,[],[f114,f106]) ).

fof(f191,plain,
    host(sK5) = s(host(sK1)),
    inference(forward_demodulation,[],[f116,f111]) ).

fof(f193,definition,
    ( spl15_1
  <=> sK1 = sK6 ),
    introduced(definition,[new_symbols(definition,[spl15_1])],[avatar_definition]) ).

fof(f195,plain,
    ( sK1 = sK6
    | ~ spl15_1 ),
    inference(avatar_component_clause,[],[f193]) ).

fof(f197,definition,
    ( spl15_2
  <=> setIn(sK6,alive) ),
    introduced(definition,[new_symbols(definition,[spl15_2])],[avatar_definition]) ).

fof(f198,plain,
    ( ~ setIn(sK6,alive)
    | spl15_2 ),
    inference(avatar_component_clause,[],[f197]) ).

fof(f199,plain,
    ( setIn(sK6,alive)
    | ~ spl15_2 ),
    inference(avatar_component_clause,[],[f197]) ).

fof(f200,plain,
    ( spl15_1
    | spl15_2 ),
    inference(avatar_split_clause,[],[f118,f197,f193]) ).

fof(f207,definition,
    ( spl15_4
  <=> sK1 = sK4 ),
    introduced(definition,[new_symbols(definition,[spl15_4])],[avatar_definition]) ).

fof(f209,plain,
    ( sK1 = sK4
    | ~ spl15_4 ),
    inference(avatar_component_clause,[],[f207]) ).

fof(f211,definition,
    ( spl15_5
  <=> setIn(sK4,alive) ),
    introduced(definition,[new_symbols(definition,[spl15_5])],[avatar_definition]) ).

fof(f213,plain,
    ( setIn(sK4,alive)
    | ~ spl15_5 ),
    inference(avatar_component_clause,[],[f211]) ).

fof(f214,plain,
    ( spl15_4
    | spl15_5 ),
    inference(avatar_split_clause,[],[f120,f211,f207]) ).

fof(f220,plain,
    elem(m_Down(sK7),snoc(queue(s(host(sK1))),m_Halt(sK1))),
    inference(forward_demodulation,[],[f122,f111]) ).

fof(f221,plain,
    ( ~ sP12(host(sK1))
    | ~ spl15_4 ),
    inference(superposition,[],[f174,f209]) ).

fof(f223,plain,
    ( $false
    | ~ spl15_4 ),
    inference(forward_subsumption_resolution,[],[f221,f189]) ).

fof(f224,plain,
    ~ spl15_4,
    inference(avatar_contradiction_clause,[],[f223]) ).

fof(f302,plain,
    leq(sK3,sK1),
    inference(resolution,[],[f177,f176]) ).

fof(f324,definition,
    ( spl15_17
  <=> sK1 = sK3 ),
    introduced(definition,[new_symbols(definition,[spl15_17])],[avatar_definition]) ).

fof(f326,plain,
    ( sK1 = sK3
    | ~ spl15_17 ),
    inference(avatar_component_clause,[],[f324]) ).

fof(f366,plain,
    ! [X0] :
      ( elem(X0,queue(host(sK3)))
      | ~ elem(X0,sK0) ),
    inference(superposition,[],[f132,f93]) ).

fof(f369,plain,
    ! [X0] :
      ( elem(X0,queue(host(sK1)))
      | ~ elem(X0,sK0) ),
    inference(forward_demodulation,[],[f366,f106]) ).

fof(f388,plain,
    ( elem(m_Down(sK7),queue(s(host(sK1))))
    | m_Down(sK7) = m_Halt(sK1) ),
    inference(resolution,[],[f220,f128]) ).

fof(f389,plain,
    elem(m_Down(sK7),queue(s(host(sK1)))),
    inference(forward_subsumption_resolution,[],[f388,f156]) ).

fof(f406,plain,
    ! [X0] :
      ( host(X0) != host(sK6)
      | ~ elem(m_Down(sK7),queue(host(X0))) ),
    inference(superposition,[],[f99,f115]) ).

fof(f408,plain,
    ! [X0] :
      ( host(X0) != host(sK1)
      | ~ elem(m_Down(sK7),queue(host(X0))) ),
    inference(forward_demodulation,[],[f406,f190]) ).

fof(f424,plain,
    ! [X0] :
      ( host(X0) != host(sK1)
      | ~ setIn(sK6,alive)
      | sK6 = X0
      | ~ setIn(X0,alive) ),
    inference(superposition,[],[f95,f190]) ).

fof(f429,plain,
    ( ! [X0] :
        ( host(X0) != host(sK1)
        | sK6 = X0
        | ~ setIn(X0,alive) )
    | ~ spl15_2 ),
    inference(forward_subsumption_resolution,[],[f424,f199]) ).

fof(f454,plain,
    ! [X0] :
      ( host(X0) != host(sK1)
      | setIn(X0,alive)
      | ~ leq(sK3,X0)
      | ~ setIn(sK3,alive) ),
    inference(superposition,[],[f96,f106]) ).

fof(f469,plain,
    ! [X0] :
      ( host(X0) != host(sK1)
      | setIn(X0,alive)
      | ~ leq(sK3,X0) ),
    inference(forward_subsumption_resolution,[],[f454,f102]) ).

fof(f472,plain,
    ! [X0,X1] :
      ( host(X0) != s(host(sK1))
      | ~ elem(m_Down(X0),queue(host(X1)))
      | sP14(X1,sK4) ),
    inference(superposition,[],[f187,f111]) ).

fof(f488,plain,
    ! [X0,X1] :
      ( host(X0) != host(sK1)
      | host(X1) = host(sK1)
      | ~ setIn(sK6,alive)
      | ~ setIn(X1,alive)
      | ~ elem(m_Down(X0),queue(host(X1)))
      | ~ sP14(sK6,X1) ),
    inference(superposition,[],[f188,f190]) ).

fof(f497,plain,
    ( ! [X0,X1] :
        ( host(X0) != host(sK1)
        | host(X1) = host(sK1)
        | ~ setIn(X1,alive)
        | ~ elem(m_Down(X0),queue(host(X1)))
        | ~ sP14(sK6,X1) )
    | ~ spl15_2 ),
    inference(forward_subsumption_resolution,[],[f488,f199]) ).

fof(f700,plain,
    ( host(sK1) != host(sK1)
    | sK3 = sK6
    | ~ setIn(sK3,alive)
    | ~ spl15_2 ),
    inference(superposition,[],[f429,f106]) ).

fof(f704,plain,
    ( sK1 = sK6
    | ~ setIn(sK1,alive)
    | ~ spl15_2 ),
    inference(equality_resolution,[],[f429]) ).

fof(f705,plain,
    ( sK3 = sK6
    | ~ setIn(sK3,alive)
    | ~ spl15_2 ),
    inference(trivial_inequality_removal,[],[f700]) ).

fof(f707,definition,
    ( spl15_39
  <=> setIn(sK1,alive) ),
    introduced(definition,[new_symbols(definition,[spl15_39])],[avatar_definition]) ).

fof(f708,plain,
    ( setIn(sK1,alive)
    | ~ spl15_39 ),
    inference(avatar_component_clause,[],[f707]) ).

fof(f709,plain,
    ( ~ setIn(sK1,alive)
    | spl15_39 ),
    inference(avatar_component_clause,[],[f707]) ).

fof(f710,plain,
    ( ~ spl15_39
    | spl15_1
    | ~ spl15_2 ),
    inference(avatar_split_clause,[],[f704,f197,f193,f707]) ).

fof(f711,plain,
    ( sK3 = sK6
    | ~ spl15_2 ),
    inference(forward_subsumption_resolution,[],[f705,f102]) ).

fof(f746,plain,
    ( sK1 = sK3
    | ~ spl15_1
    | ~ spl15_2 ),
    inference(superposition,[],[f711,f195]) ).

fof(f747,plain,
    ( spl15_17
    | ~ spl15_1
    | ~ spl15_2 ),
    inference(avatar_split_clause,[],[f746,f197,f193,f324]) ).

fof(f799,plain,
    ( setIn(sK1,alive)
    | ~ leq(sK3,sK1) ),
    inference(equality_resolution,[],[f469]) ).

fof(f1084,plain,
    ! [X0] :
      ( s(host(sK1)) != s(host(sK1))
      | ~ elem(m_Down(sK5),queue(host(X0)))
      | sP14(X0,sK4) ),
    inference(superposition,[],[f472,f191]) ).

fof(f1087,plain,
    ! [X0] :
      ( ~ elem(m_Down(sK5),queue(host(X0)))
      | sP14(X0,sK4) ),
    inference(trivial_inequality_removal,[],[f1084]) ).

fof(f1152,plain,
    ( ! [X0] :
        ( host(sK6) != host(sK1)
        | host(X0) = host(sK1)
        | ~ setIn(X0,alive)
        | ~ elem(m_Down(sK7),queue(host(X0)))
        | ~ sP14(sK6,X0) )
    | ~ spl15_2 ),
    inference(superposition,[],[f497,f115]) ).

fof(f1157,plain,
    ( ! [X0] :
        ( host(sK6) != host(sK1)
        | ~ setIn(X0,alive)
        | ~ elem(m_Down(sK7),queue(host(X0)))
        | ~ sP14(sK6,X0) )
    | ~ spl15_2 ),
    inference(forward_subsumption_resolution,[],[f1152,f408]) ).

fof(f1161,plain,
    ( ! [X0] :
        ( ~ setIn(X0,alive)
        | ~ elem(m_Down(sK7),queue(host(X0)))
        | ~ sP14(sK6,X0) )
    | ~ spl15_2 ),
    inference(forward_subsumption_resolution,[],[f1157,f190]) ).

fof(f1165,plain,
    ( ! [X0] :
        ( ~ sP14(sK3,X0)
        | ~ setIn(X0,alive)
        | ~ elem(m_Down(sK7),queue(host(X0))) )
    | ~ spl15_2 ),
    inference(forward_demodulation,[],[f1161,f711]) ).

fof(f1168,plain,
    ( ! [X0] :
        ( ~ elem(m_Down(sK7),queue(host(X0)))
        | ~ setIn(X0,alive)
        | ~ sP14(sK1,X0) )
    | ~ spl15_2
    | ~ spl15_17 ),
    inference(forward_demodulation,[],[f1165,f326]) ).

fof(f1655,plain,
    ( sP14(sK1,sK4)
    | ~ elem(m_Down(sK5),sK0) ),
    inference(resolution,[],[f1087,f369]) ).

fof(f1664,plain,
    sP14(sK1,sK4),
    inference(forward_subsumption_resolution,[],[f1655,f123]) ).

fof(f2687,plain,
    ( ~ elem(m_Down(sK7),queue(s(host(sK1))))
    | ~ setIn(sK4,alive)
    | ~ sP14(sK1,sK4)
    | ~ spl15_2
    | ~ spl15_17 ),
    inference(superposition,[],[f1168,f111]) ).

fof(f2691,plain,
    ( ~ setIn(sK4,alive)
    | ~ sP14(sK1,sK4)
    | ~ spl15_2
    | ~ spl15_17 ),
    inference(forward_subsumption_resolution,[],[f2687,f389]) ).

fof(f2692,plain,
    ( ~ sP14(sK1,sK4)
    | ~ spl15_2
    | ~ spl15_5
    | ~ spl15_17 ),
    inference(forward_subsumption_resolution,[],[f2691,f213]) ).

fof(f2693,plain,
    ( $false
    | ~ spl15_2
    | ~ spl15_5
    | ~ spl15_17 ),
    inference(forward_subsumption_resolution,[],[f2692,f1664]) ).

fof(f2694,plain,
    ( ~ spl15_2
    | ~ spl15_5
    | ~ spl15_17 ),
    inference(avatar_contradiction_clause,[],[f2693]) ).

fof(f2695,plain,
    ( ~ setIn(sK1,alive)
    | ~ spl15_1
    | spl15_2 ),
    inference(forward_demodulation,[],[f198,f195]) ).

fof(f2759,plain,
    ( $false
    | ~ spl15_1
    | spl15_2
    | ~ spl15_39 ),
    inference(forward_subsumption_resolution,[],[f2695,f708]) ).

fof(f2760,plain,
    ( ~ spl15_1
    | spl15_2
    | ~ spl15_39 ),
    inference(avatar_contradiction_clause,[],[f2759]) ).

fof(f2789,plain,
    ( ~ leq(sK3,sK1)
    | spl15_39 ),
    inference(forward_subsumption_resolution,[],[f799,f709]) ).

fof(f2796,plain,
    ( $false
    | spl15_39 ),
    inference(forward_subsumption_resolution,[],[f2789,f302]) ).

fof(f2797,plain,
    spl15_39,
    inference(avatar_contradiction_clause,[],[f2796]) ).

cnf(s1,plain,
    ( spl15_1
    | spl15_2 ),
    inference(sat_conversion,[],[f200]) ).

cnf(s3,plain,
    ( spl15_4
    | spl15_5 ),
    inference(sat_conversion,[],[f214]) ).

cnf(s5,plain,
    ~ spl15_4,
    inference(sat_conversion,[],[f224]) ).

cnf(s28,plain,
    ( spl15_1
    | ~ spl15_2
    | ~ spl15_39 ),
    inference(sat_conversion,[],[f710]) ).

cnf(s30,plain,
    ( ~ spl15_1
    | ~ spl15_2
    | spl15_17 ),
    inference(sat_conversion,[],[f747]) ).

cnf(s101,plain,
    ( ~ spl15_2
    | ~ spl15_5
    | ~ spl15_17 ),
    inference(sat_conversion,[],[f2694]) ).

cnf(s102,plain,
    ( ~ spl15_1
    | spl15_2
    | ~ spl15_39 ),
    inference(sat_conversion,[],[f2760]) ).

cnf(s104,plain,
    spl15_39,
    inference(sat_conversion,[],[f2797]) ).

cnf(s106,plain,
    ( ~ spl15_1
    | spl15_2 ),
    inference(rat,[],[s102,s104]) ).

cnf(s116,plain,
    ( spl15_1
    | ~ spl15_2 ),
    inference(rat,[],[s28,s104]) ).

cnf(s118,plain,
    spl15_5,
    inference(rat,[],[s3,s5]) ).

cnf(s119,plain,
    spl15_1,
    inference(rat,[],[s1,s116]) ).

cnf(s120,plain,
    spl15_2,
    inference(rat,[],[s106,s119]) ).

cnf(s123,plain,
    spl15_17,
    inference(rat,[],[s30,s120,s119]) ).

cnf(s124,plain,
    $false,
    inference(rat,[],[s101,s118,s123,s120]) ).

fof(f2804,plain,
    $false,
    inference(avatar_sat_refutation,[],[s124]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : SWV451+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05  % Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.18  % Computer : n018.cluster.edu
% 0.09/0.18  % Model    : x86_64 x86_64
% 0.09/0.18  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.18  % Memory   : 8046.5625MB
% 0.09/0.18  % OS       : Linux 6.8.0-71-generic
% 0.09/0.18  % CPULimit : 300
% 0.09/0.18  % WCLimit  : 300
% 0.09/0.18  % DateTime : Mon Sep 28 11:10:55 UTC 2026
% 0.09/0.18  % CPUTime  : 
% 0.09/0.18  Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.22  Running first-order theorem proving
% 0.09/0.22  Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.10/1.12  % (3304191)Detected formulas, will run a generic FOF schedule.
% 3.10/1.12  % (3304200)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1016565545:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 3.10/1.12  % (3304202)dis-21_1_sil=8000:lcm=predicate:random_seed=2274998633: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)
% 3.10/1.12  % (3304196)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=3005927:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 3.10/1.12  % (3304199)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=163341646:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 3.10/1.12  % (3304197)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=2438183397:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 3.10/1.12  % (3304198)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=1067628937:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 3.10/1.12  % (3304201)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3524206032:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 3.10/1.12  % (3304200)Instruction limit reached! 
% 3.10/1.12  % (3304200)------------------------------
% 3.10/1.12  % (3304200)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.10/1.12  % (3304200)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.10/1.12  % (3304200)CaDiCaL version: 2.1.3
% 3.10/1.12  % (3304200)Termination reason: Instruction limit
% 3.10/1.12  % (3304200)Termination phase: Saturation
% 3.10/1.12  % (3304200)Time elapsed: 0.039 s
% 3.10/1.12  % (3304200)Peak memory usage: 88 MB
% 3.10/1.12  % (3304200)Instructions burned: 122 (million)
% 3.10/1.12  % (3304199)First to succeed.
% 3.10/1.12  % (3304199)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3304191"
% 3.10/1.12  % (3304202)Instruction limit reached! 
% 3.10/1.12  % (3304202)------------------------------
% 3.10/1.12  % (3304202)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.10/1.12  % (3304202)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.10/1.12  % (3304202)CaDiCaL version: 2.1.3
% 3.10/1.12  % (3304202)Termination reason: Instruction limit
% 3.10/1.12  % (3304202)Termination phase: Saturation
% 3.10/1.12  % (3304202)Time elapsed: 0.062 s
% 3.10/1.12  % (3304202)Peak memory usage: 89 MB
% 3.10/1.12  % (3304202)Instructions burned: 131 (million)
% 3.10/1.12  % (3304210)lrs+10_1_sil=8000:sp=occurrence:random_seed=2397010105:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 3.10/1.12  % (3304201)Instruction limit reached! 
% 3.10/1.12  % (3304201)------------------------------
% 3.10/1.12  % (3304201)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.10/1.12  % (3304201)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.10/1.12  % (3304201)CaDiCaL version: 2.1.3
% 3.10/1.12  % (3304201)Termination reason: Instruction limit
% 3.10/1.12  % (3304201)Termination phase: Saturation
% 3.10/1.12  % (3304201)Time elapsed: 0.102 s
% 3.10/1.12  % (3304201)Peak memory usage: 90 MB
% 3.10/1.12  % (3304201)Instructions burned: 139 (million)
% 3.10/1.12  % (3304211)lrs+10_1_sil=32000:urr=on:br=off:random_seed=579919465:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 3.10/1.12  % (3304210)Instruction limit reached! 
% 3.10/1.12  % (3304210)------------------------------
% 3.10/1.12  % (3304210)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.10/1.12  % (3304210)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.10/1.12  % (3304210)CaDiCaL version: 2.1.3
% 3.10/1.12  % (3304210)Termination reason: Instruction limit
% 3.10/1.12  % (3304210)Termination phase: Saturation
% 3.10/1.12  % (3304210)Time elapsed: 0.104 s
% 3.10/1.12  % (3304210)Peak memory usage: 90 MB
% 3.10/1.12  % (3304210)Instructions burned: 288 (million)
% 3.10/1.12  % (3304211)Also succeeded, but the first one will report.
% 3.10/1.12  % (3304213)lrs+1011_1_sil=32000:sp=occurrence:random_seed=4112522207:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 3.10/1.12  % (3304215)dis+10_5:1_slsqr=1,4:sil=8000:fde=unused:erd=off:urr=full:fd=off:s2agt=8:br=off:slsq=on:random_seed=1760892842:s2a=on:i=248:s2at=1.23:gtg=position_2996 on theBenchmark for (2996ds/248Mi)
% 3.10/1.12  % (3304199)Refutation found. Thanks to Tanya!
% 3.10/1.12  % SZS status Theorem for theBenchmark
% 3.10/1.12  % SZS output start Proof for theBenchmark
% See solution above
% 3.85/1.21  % (3304199)------------------------------
% 3.85/1.21  % (3304199)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.85/1.21  % (3304199)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.85/1.21  % (3304199)CaDiCaL version: 2.1.3
% 3.85/1.21  % (3304199)Termination reason: Refutation
% 3.85/1.21  % (3304199)Time elapsed: 0.059 s
% 3.85/1.21  % (3304199)Peak memory usage: 90 MB
% 3.85/1.21  % (3304199)Instructions burned: 91 (million)
% 3.85/1.21  % (3304199)------------------------------
% 3.85/1.21  % (3304199)------------------------------
% 3.85/1.21  % (3304191)Success in time 0.465 s
% 3.85/1.21  % Vampire exiting
%------------------------------------------------------------------------------