↑ Up

Vampire-SAT---5.0.1.THM-Ref.s

View TPTP
Problem
Process solution in
SystemOnTSTP
Download .tgz
%------------------------------------------------------------------------------
% File     : Vampire-SAT---5.0.1
% Problem  : SWV472+1 : TPTP v9.3.1. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT

% Computer : n008.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 01:24:22 PM UTC 2026

% Result   : Theorem 7.65s 1.41s
% Output   : Refutation 7.65s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   17
%            Number of leaves      :    9
% Syntax   : Number of formulae    :   82 (  21 unt;   5 def)
%            Number of atoms       :  594 ( 250 equ)
%            Maximal formula atoms :   70 (   7 avg)
%            Number of connectives :  843 ( 331   ~; 250   |; 192   &)
%                                         (   7 <=>;  63  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   38 (   7 avg)
%            Maximal term depth    :    4 (   2 avg)
%            Number of predicates  :   10 (   8 usr;   6 prp; 0-2 aty)
%            Number of functors    :   31 (  31 usr;  19 con; 0-2 aty)
%            Number of variables   :  274 (   0 sgn 256   !;  18   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f18,axiom,
    ! [X0,X1] : m_Down(X0) != m_Halt(X1),
    file('/export/starexec/sandbox/benchmark/Axioms/SWV011+0.ax',axiom_17) ).

fof(f47,axiom,
    ! [X0,X1,X2] :
      ( elem(X0,cons(X1,X2))
    <=> ( X0 = X1
        | elem(X0,X2) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWV011+0.ax',axiom_46) ).

fof(f48,axiom,
    ! [X0,X1,X2] :
      ( elem(X0,snoc(X2,X1))
    <=> ( X0 = X1
        | elem(X0,X2) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWV011+0.ax',axiom_47) ).

fof(f67,conjecture,
    ! [X0,X1,X2,X3] :
      ( ( ! [X4,X5] :
            ( elem(m_Ldr(X5),queue(host(X4)))
           => ~ leq(host(X4),host(X5)) )
        & ! [X4,X5] :
            ( elem(m_Down(X5),queue(host(X4)))
           => host(X5) != host(X4) )
        & ! [X4,X5] :
            ( host(X5) = nbr_proc
           => ~ elem(m_NotNorm(X4),queue(host(X5))) )
        & ! [X4,X5] :
            ( ( X5 != X4
              & host(X5) = host(X4) )
           => ( ~ setIn(X4,alive)
              | ~ setIn(X5,alive) ) )
        & ! [X4] :
            ( ( ( index(status,host(X4)) = elec_1
                | index(status,host(X4)) = elec_2 )
              & setIn(X4,alive) )
           => index(elid,host(X4)) = X4 )
        & ! [X4,X6,X5] :
            ( ( host(X5) != host(X6)
              & setIn(X5,alive)
              & host(X5) = host(X4)
              & index(status,host(X5)) = norm
              & index(ldr,host(X5)) = host(X6) )
           => ~ elem(m_Down(X4),queue(host(X6))) )
        & ! [X4,X6,X5] :
            ( ( host(X5) != host(X6)
              & setIn(X5,alive)
              & host(X5) = host(X4)
              & index(status,host(X5)) = wait
              & host(index(elid,host(X5))) = host(X6) )
           => ~ elem(m_Down(X4),queue(host(X6))) )
        & ! [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))) ) )
        & ! [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)))
                & setIn(host(X7),index(down,host(X6))) ) )
        & ! [X4,X7,X6,X5] :
            ( ( ! [X8] :
                  ( ( ~ leq(host(X5),X8)
                    & leq(s(zero),X8) )
                 => ( setIn(X8,index(down,host(X5)))
                    | X8 = host(X6) ) )
              & elem(m_Down(X6),queue(host(X5)))
              & host(X5) = nbr_proc
              & host(X5) = host(X7)
              & index(status,host(X5)) = elec_1 )
           => ~ ( setIn(X4,alive)
                & elem(m_Down(X7),queue(host(X4))) ) )
        & queue(host(X2)) = cons(m_Ack(X1,X3),X0) )
     => ( setIn(X2,alive)
       => ( ( index(elid,host(X2)) = X1
            & index(status,host(X2)) = elec_2
            & host(X3) = index(pendack,host(X2)) )
         => ( ~ leq(nbr_proc,index(pendack,host(X2)))
           => ! [X4] :
                ( s(index(pendack,host(X2))) = host(X4)
               => ( host(X2) = host(X4)
                 => ! [X9,X10,X11] :
                      ( s(index(pendack,host(X2))) != host(X11)
                     => ( host(X2) != host(X11)
                       => ( ( ! [X8] :
                                ( ( ~ leq(host(X11),X8)
                                  & leq(s(zero),X8) )
                               => ( setIn(X8,index(down,host(X11)))
                                  | X8 = host(X10) ) )
                            & elem(m_Down(X10),queue(host(X11)))
                            & host(X11) = host(X9)
                            & host(X11) = nbr_proc
                            & index(status,host(X11)) = elec_1 )
                         => ~ ( setIn(X4,alive)
                              & elem(m_Down(X9),snoc(X0,m_Halt(X2))) ) ) ) ) ) ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj) ).

fof(f68,negated_conjecture,
    ~ ! [X0,X1,X2,X3] :
        ( ( ! [X4,X5] :
              ( elem(m_Ldr(X5),queue(host(X4)))
             => ~ leq(host(X4),host(X5)) )
          & ! [X4,X5] :
              ( elem(m_Down(X5),queue(host(X4)))
             => host(X5) != host(X4) )
          & ! [X4,X5] :
              ( host(X5) = nbr_proc
             => ~ elem(m_NotNorm(X4),queue(host(X5))) )
          & ! [X4,X5] :
              ( ( X5 != X4
                & host(X5) = host(X4) )
             => ( ~ setIn(X4,alive)
                | ~ setIn(X5,alive) ) )
          & ! [X4] :
              ( ( ( index(status,host(X4)) = elec_1
                  | index(status,host(X4)) = elec_2 )
                & setIn(X4,alive) )
             => index(elid,host(X4)) = X4 )
          & ! [X4,X6,X5] :
              ( ( host(X5) != host(X6)
                & setIn(X5,alive)
                & host(X5) = host(X4)
                & index(status,host(X5)) = norm
                & index(ldr,host(X5)) = host(X6) )
             => ~ elem(m_Down(X4),queue(host(X6))) )
          & ! [X4,X6,X5] :
              ( ( host(X5) != host(X6)
                & setIn(X5,alive)
                & host(X5) = host(X4)
                & index(status,host(X5)) = wait
                & host(index(elid,host(X5))) = host(X6) )
             => ~ elem(m_Down(X4),queue(host(X6))) )
          & ! [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))) ) )
          & ! [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)))
                  & setIn(host(X7),index(down,host(X6))) ) )
          & ! [X4,X7,X6,X5] :
              ( ( ! [X8] :
                    ( ( ~ leq(host(X5),X8)
                      & leq(s(zero),X8) )
                   => ( setIn(X8,index(down,host(X5)))
                      | X8 = host(X6) ) )
                & elem(m_Down(X6),queue(host(X5)))
                & host(X5) = nbr_proc
                & host(X5) = host(X7)
                & index(status,host(X5)) = elec_1 )
             => ~ ( setIn(X4,alive)
                  & elem(m_Down(X7),queue(host(X4))) ) )
          & queue(host(X2)) = cons(m_Ack(X1,X3),X0) )
       => ( setIn(X2,alive)
         => ( ( index(elid,host(X2)) = X1
              & index(status,host(X2)) = elec_2
              & host(X3) = index(pendack,host(X2)) )
           => ( ~ leq(nbr_proc,index(pendack,host(X2)))
             => ! [X4] :
                  ( s(index(pendack,host(X2))) = host(X4)
                 => ( host(X2) = host(X4)
                   => ! [X9,X10,X11] :
                        ( s(index(pendack,host(X2))) != host(X11)
                       => ( host(X2) != host(X11)
                         => ( ( ! [X8] :
                                  ( ( ~ leq(host(X11),X8)
                                    & leq(s(zero),X8) )
                                 => ( setIn(X8,index(down,host(X11)))
                                    | X8 = host(X10) ) )
                              & elem(m_Down(X10),queue(host(X11)))
                              & host(X11) = host(X9)
                              & host(X11) = nbr_proc
                              & index(status,host(X11)) = elec_1 )
                           => ~ ( setIn(X4,alive)
                                & elem(m_Down(X9),snoc(X0,m_Halt(X2))) ) ) ) ) ) ) ) ) ) ),
    inference(negated_conjecture,[status(cth)],[f67]) ).

fof(f69,plain,
    ~ ! [X0,X1,X2,X3] :
        ( ( ! [X4,X5] :
              ( elem(m_Ldr(X5),queue(host(X4)))
             => ~ leq(host(X4),host(X5)) )
          & ! [X6,X7] :
              ( elem(m_Down(X7),queue(host(X6)))
             => host(X6) != host(X7) )
          & ! [X8,X9] :
              ( nbr_proc = host(X9)
             => ~ elem(m_NotNorm(X8),queue(host(X9))) )
          & ! [X10,X11] :
              ( ( X10 != X11
                & host(X11) = host(X10) )
             => ( ~ setIn(X10,alive)
                | ~ setIn(X11,alive) ) )
          & ! [X12] :
              ( ( ( elec_1 = index(status,host(X12))
                  | elec_2 = index(status,host(X12)) )
                & setIn(X12,alive) )
             => index(elid,host(X12)) = X12 )
          & ! [X13,X14,X15] :
              ( ( host(X15) != host(X14)
                & setIn(X15,alive)
                & host(X15) = host(X13)
                & norm = index(status,host(X15))
                & host(X14) = index(ldr,host(X15)) )
             => ~ elem(m_Down(X13),queue(host(X14))) )
          & ! [X16,X17,X18] :
              ( ( host(X18) != host(X17)
                & setIn(X18,alive)
                & host(X18) = host(X16)
                & wait = index(status,host(X18))
                & host(X17) = host(index(elid,host(X18))) )
             => ~ elem(m_Down(X16),queue(host(X17))) )
          & ! [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))) ) )
          & ! [X23,X24,X25,X26] :
              ( ( host(X23) != host(X25)
                & setIn(X23,alive)
                & setIn(X25,alive)
                & host(X23) = host(X24)
                & host(X25) = host(X26) )
             => ~ ( elem(m_Down(X26),queue(host(X23)))
                  & setIn(host(X24),index(down,host(X25))) ) )
          & ! [X27,X28,X29,X30] :
              ( ( ! [X31] :
                    ( ( ~ leq(host(X30),X31)
                      & leq(s(zero),X31) )
                   => ( setIn(X31,index(down,host(X30)))
                      | host(X29) = X31 ) )
                & elem(m_Down(X29),queue(host(X30)))
                & nbr_proc = host(X30)
                & host(X30) = host(X28)
                & elec_1 = index(status,host(X30)) )
             => ~ ( setIn(X27,alive)
                  & elem(m_Down(X28),queue(host(X27))) ) )
          & queue(host(X2)) = cons(m_Ack(X1,X3),X0) )
       => ( setIn(X2,alive)
         => ( ( index(elid,host(X2)) = X1
              & index(status,host(X2)) = elec_2
              & host(X3) = index(pendack,host(X2)) )
           => ( ~ leq(nbr_proc,index(pendack,host(X2)))
             => ! [X32] :
                  ( s(index(pendack,host(X2))) = host(X32)
                 => ( host(X2) = host(X32)
                   => ! [X33,X34,X35] :
                        ( s(index(pendack,host(X2))) != host(X35)
                       => ( host(X2) != host(X35)
                         => ( ( ! [X36] :
                                  ( ( ~ leq(host(X35),X36)
                                    & leq(s(zero),X36) )
                                 => ( setIn(X36,index(down,host(X35)))
                                    | host(X34) = X36 ) )
                              & elem(m_Down(X34),queue(host(X35)))
                              & host(X35) = host(X33)
                              & nbr_proc = host(X35)
                              & elec_1 = index(status,host(X35)) )
                           => ~ ( setIn(X32,alive)
                                & elem(m_Down(X33),snoc(X0,m_Halt(X2))) ) ) ) ) ) ) ) ) ) ),
    inference(rectify,[],[f68]) ).

fof(f85,plain,
    ? [X0,X1,X2,X3] :
      ( ? [X32] :
          ( ? [X33,X34,X35] :
              ( setIn(X32,alive)
              & elem(m_Down(X33),snoc(X0,m_Halt(X2)))
              & ! [X36] :
                  ( setIn(X36,index(down,host(X35)))
                  | host(X34) = X36
                  | leq(host(X35),X36)
                  | ~ leq(s(zero),X36) )
              & elem(m_Down(X34),queue(host(X35)))
              & host(X35) = host(X33)
              & nbr_proc = host(X35)
              & elec_1 = index(status,host(X35))
              & host(X2) != host(X35)
              & s(index(pendack,host(X2))) != host(X35) )
          & host(X2) = host(X32)
          & s(index(pendack,host(X2))) = host(X32) )
      & ~ leq(nbr_proc,index(pendack,host(X2)))
      & index(elid,host(X2)) = X1
      & index(status,host(X2)) = elec_2
      & host(X3) = index(pendack,host(X2))
      & setIn(X2,alive)
      & ! [X4,X5] :
          ( ~ leq(host(X4),host(X5))
          | ~ elem(m_Ldr(X5),queue(host(X4))) )
      & ! [X6,X7] :
          ( host(X6) != host(X7)
          | ~ elem(m_Down(X7),queue(host(X6))) )
      & ! [X8,X9] :
          ( ~ elem(m_NotNorm(X8),queue(host(X9)))
          | nbr_proc != host(X9) )
      & ! [X10,X11] :
          ( ~ setIn(X10,alive)
          | ~ setIn(X11,alive)
          | X10 = X11
          | host(X11) != host(X10) )
      & ! [X12] :
          ( index(elid,host(X12)) = X12
          | ( elec_1 != index(status,host(X12))
            & elec_2 != index(status,host(X12)) )
          | ~ setIn(X12,alive) )
      & ! [X13,X14,X15] :
          ( ~ elem(m_Down(X13),queue(host(X14)))
          | host(X15) = host(X14)
          | ~ setIn(X15,alive)
          | host(X15) != host(X13)
          | norm != index(status,host(X15))
          | host(X14) != index(ldr,host(X15)) )
      & ! [X16,X17,X18] :
          ( ~ elem(m_Down(X16),queue(host(X17)))
          | host(X18) = host(X17)
          | ~ setIn(X18,alive)
          | host(X18) != host(X16)
          | wait != index(status,host(X18))
          | host(X17) != host(index(elid,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) )
      & ! [X23,X24,X25,X26] :
          ( ~ elem(m_Down(X26),queue(host(X23)))
          | ~ setIn(host(X24),index(down,host(X25)))
          | host(X23) = host(X25)
          | ~ setIn(X23,alive)
          | ~ setIn(X25,alive)
          | host(X23) != host(X24)
          | host(X25) != host(X26) )
      & ! [X27,X28,X29,X30] :
          ( ~ setIn(X27,alive)
          | ~ elem(m_Down(X28),queue(host(X27)))
          | ? [X31] :
              ( ~ setIn(X31,index(down,host(X30)))
              & host(X29) != X31
              & ~ leq(host(X30),X31)
              & leq(s(zero),X31) )
          | ~ elem(m_Down(X29),queue(host(X30)))
          | nbr_proc != host(X30)
          | host(X30) != host(X28)
          | elec_1 != index(status,host(X30)) )
      & queue(host(X2)) = cons(m_Ack(X1,X3),X0) ),
    inference(ennf_transformation,[],[f69]) ).

fof(f86,plain,
    ? [X0,X1,X2,X3] :
      ( ? [X32] :
          ( ? [X33,X34,X35] :
              ( setIn(X32,alive)
              & elem(m_Down(X33),snoc(X0,m_Halt(X2)))
              & ! [X36] :
                  ( setIn(X36,index(down,host(X35)))
                  | host(X34) = X36
                  | leq(host(X35),X36)
                  | ~ leq(s(zero),X36) )
              & elem(m_Down(X34),queue(host(X35)))
              & host(X35) = host(X33)
              & nbr_proc = host(X35)
              & elec_1 = index(status,host(X35))
              & host(X2) != host(X35)
              & s(index(pendack,host(X2))) != host(X35) )
          & host(X2) = host(X32)
          & s(index(pendack,host(X2))) = host(X32) )
      & ~ leq(nbr_proc,index(pendack,host(X2)))
      & index(elid,host(X2)) = X1
      & index(status,host(X2)) = elec_2
      & host(X3) = index(pendack,host(X2))
      & setIn(X2,alive)
      & ! [X4,X5] :
          ( ~ leq(host(X4),host(X5))
          | ~ elem(m_Ldr(X5),queue(host(X4))) )
      & ! [X6,X7] :
          ( host(X6) != host(X7)
          | ~ elem(m_Down(X7),queue(host(X6))) )
      & ! [X8,X9] :
          ( ~ elem(m_NotNorm(X8),queue(host(X9)))
          | nbr_proc != host(X9) )
      & ! [X10,X11] :
          ( ~ setIn(X10,alive)
          | ~ setIn(X11,alive)
          | X10 = X11
          | host(X11) != host(X10) )
      & ! [X12] :
          ( index(elid,host(X12)) = X12
          | ( elec_1 != index(status,host(X12))
            & elec_2 != index(status,host(X12)) )
          | ~ setIn(X12,alive) )
      & ! [X13,X14,X15] :
          ( ~ elem(m_Down(X13),queue(host(X14)))
          | host(X15) = host(X14)
          | ~ setIn(X15,alive)
          | host(X15) != host(X13)
          | norm != index(status,host(X15))
          | host(X14) != index(ldr,host(X15)) )
      & ! [X16,X17,X18] :
          ( ~ elem(m_Down(X16),queue(host(X17)))
          | host(X18) = host(X17)
          | ~ setIn(X18,alive)
          | host(X18) != host(X16)
          | wait != index(status,host(X18))
          | host(X17) != host(index(elid,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) )
      & ! [X23,X24,X25,X26] :
          ( ~ elem(m_Down(X26),queue(host(X23)))
          | ~ setIn(host(X24),index(down,host(X25)))
          | host(X23) = host(X25)
          | ~ setIn(X23,alive)
          | ~ setIn(X25,alive)
          | host(X23) != host(X24)
          | host(X25) != host(X26) )
      & ! [X27,X28,X29,X30] :
          ( ~ setIn(X27,alive)
          | ~ elem(m_Down(X28),queue(host(X27)))
          | ? [X31] :
              ( ~ setIn(X31,index(down,host(X30)))
              & host(X29) != X31
              & ~ leq(host(X30),X31)
              & leq(s(zero),X31) )
          | ~ elem(m_Down(X29),queue(host(X30)))
          | nbr_proc != host(X30)
          | host(X30) != host(X28)
          | elec_1 != index(status,host(X30)) )
      & queue(host(X2)) = cons(m_Ack(X1,X3),X0) ),
    inference(flattening,[],[f85]) ).

fof(f105,plain,
    ! [X0,X1] : m_Halt(X1) != m_Down(X0),
    inference(cnf_transformation,[],[f18]) ).

fof(f140,plain,
    ! [X2,X0,X1] :
      ( elem(X0,cons(X1,X2))
      | ~ elem(X0,X2) ),
    inference(cnf_transformation,[],[f47]) ).

fof(f142,plain,
    ! [X2,X0,X1] :
      ( ~ elem(X0,snoc(X2,X1))
      | X0 = X1
      | elem(X0,X2) ),
    inference(cnf_transformation,[],[f48]) ).

fof(f183,plain,
    ! [X36] :
      ( ~ leq(s(zero),X36)
      | leq(host(sK11),X36)
      | host(sK10) = X36
      | setIn(X36,index(down,host(sK11))) ),
    inference(cnf_transformation,[],[f86]) ).

fof(f186,plain,
    elec_1 = index(status,host(sK11)),
    inference(cnf_transformation,[],[f86]) ).

fof(f187,plain,
    nbr_proc = host(sK11),
    inference(cnf_transformation,[],[f86]) ).

fof(f188,plain,
    host(sK11) = host(sK9),
    inference(cnf_transformation,[],[f86]) ).

fof(f189,plain,
    elem(m_Down(sK10),queue(host(sK11))),
    inference(cnf_transformation,[],[f86]) ).

fof(f190,plain,
    elem(m_Down(sK9),snoc(sK3,m_Halt(sK5))),
    inference(cnf_transformation,[],[f86]) ).

fof(f192,plain,
    ! [X28,X29,X27,X30] :
      ( elec_1 != index(status,host(X30))
      | host(X30) != host(X28)
      | nbr_proc != host(X30)
      | ~ elem(m_Down(X29),queue(host(X30)))
      | leq(s(zero),sK8(X29,X30))
      | ~ elem(m_Down(X28),queue(host(X27)))
      | ~ setIn(X27,alive) ),
    inference(cnf_transformation,[],[f86]) ).

fof(f193,plain,
    ! [X28,X29,X27,X30] :
      ( elec_1 != index(status,host(X30))
      | host(X30) != host(X28)
      | nbr_proc != host(X30)
      | ~ elem(m_Down(X29),queue(host(X30)))
      | ~ leq(host(X30),sK8(X29,X30))
      | ~ elem(m_Down(X28),queue(host(X27)))
      | ~ setIn(X27,alive) ),
    inference(cnf_transformation,[],[f86]) ).

fof(f194,plain,
    ! [X28,X29,X27,X30] :
      ( elec_1 != index(status,host(X30))
      | host(X30) != host(X28)
      | nbr_proc != host(X30)
      | ~ elem(m_Down(X29),queue(host(X30)))
      | host(X29) != sK8(X29,X30)
      | ~ elem(m_Down(X28),queue(host(X27)))
      | ~ setIn(X27,alive) ),
    inference(cnf_transformation,[],[f86]) ).

fof(f195,plain,
    ! [X28,X29,X27,X30] :
      ( elec_1 != index(status,host(X30))
      | host(X30) != host(X28)
      | nbr_proc != host(X30)
      | ~ elem(m_Down(X29),queue(host(X30)))
      | ~ setIn(sK8(X29,X30),index(down,host(X30)))
      | ~ elem(m_Down(X28),queue(host(X27)))
      | ~ setIn(X27,alive) ),
    inference(cnf_transformation,[],[f86]) ).

fof(f208,plain,
    queue(host(sK5)) = cons(m_Ack(sK4,sK6),sK3),
    inference(cnf_transformation,[],[f86]) ).

fof(f209,plain,
    setIn(sK5,alive),
    inference(cnf_transformation,[],[f86]) ).

fof(f228,plain,
    nbr_proc = host(sK9),
    inference(forward_demodulation,[],[f188,f187]) ).

fof(f229,plain,
    elec_1 = index(status,nbr_proc),
    inference(forward_demodulation,[],[f186,f187]) ).

fof(f230,plain,
    elem(m_Down(sK10),queue(nbr_proc)),
    inference(forward_demodulation,[],[f189,f187]) ).

fof(f280,plain,
    ! [X36] :
      ( leq(nbr_proc,X36)
      | ~ leq(s(zero),X36)
      | host(sK10) = X36
      | setIn(X36,index(down,host(sK11))) ),
    inference(forward_demodulation,[],[f183,f187]) ).

fof(f281,plain,
    ! [X36] :
      ( setIn(X36,index(down,nbr_proc))
      | leq(nbr_proc,X36)
      | ~ leq(s(zero),X36)
      | host(sK10) = X36 ),
    inference(forward_demodulation,[],[f280,f187]) ).

fof(f344,plain,
    ! [X2,X0,X1] :
      ( elec_1 != index(status,nbr_proc)
      | host(X0) != nbr_proc
      | nbr_proc != nbr_proc
      | ~ elem(m_Down(X1),queue(nbr_proc))
      | leq(s(zero),sK8(X1,sK9))
      | ~ elem(m_Down(X0),queue(host(X2)))
      | ~ setIn(X2,alive) ),
    inference(superposition,[],[f192,f228]) ).

fof(f347,plain,
    ! [X2,X0,X1] :
      ( elec_1 != index(status,nbr_proc)
      | host(X0) != nbr_proc
      | ~ elem(m_Down(X1),queue(nbr_proc))
      | leq(s(zero),sK8(X1,sK9))
      | ~ elem(m_Down(X0),queue(host(X2)))
      | ~ setIn(X2,alive) ),
    inference(trivial_inequality_removal,[],[f344]) ).

fof(f349,plain,
    ! [X2,X0,X1] :
      ( host(X0) != nbr_proc
      | ~ elem(m_Down(X1),queue(nbr_proc))
      | leq(s(zero),sK8(X1,sK9))
      | ~ elem(m_Down(X0),queue(host(X2)))
      | ~ setIn(X2,alive) ),
    inference(forward_subsumption_resolution,[],[f347,f229]) ).

fof(f352,plain,
    ! [X2,X0,X1] :
      ( elec_1 != index(status,nbr_proc)
      | host(X0) != nbr_proc
      | nbr_proc != nbr_proc
      | ~ elem(m_Down(X1),queue(nbr_proc))
      | ~ leq(nbr_proc,sK8(X1,sK9))
      | ~ elem(m_Down(X0),queue(host(X2)))
      | ~ setIn(X2,alive) ),
    inference(superposition,[],[f193,f228]) ).

fof(f355,plain,
    ! [X2,X0,X1] :
      ( elec_1 != index(status,nbr_proc)
      | host(X0) != nbr_proc
      | ~ elem(m_Down(X1),queue(nbr_proc))
      | ~ leq(nbr_proc,sK8(X1,sK9))
      | ~ elem(m_Down(X0),queue(host(X2)))
      | ~ setIn(X2,alive) ),
    inference(trivial_inequality_removal,[],[f352]) ).

fof(f357,plain,
    ! [X2,X0,X1] :
      ( host(X0) != nbr_proc
      | ~ elem(m_Down(X1),queue(nbr_proc))
      | ~ leq(nbr_proc,sK8(X1,sK9))
      | ~ elem(m_Down(X0),queue(host(X2)))
      | ~ setIn(X2,alive) ),
    inference(forward_subsumption_resolution,[],[f355,f229]) ).

fof(f360,definition,
    ( spl12_5
  <=> ! [X1] :
        ( ~ elem(m_Down(X1),queue(nbr_proc))
        | ~ leq(nbr_proc,sK8(X1,sK9)) ) ),
    introduced(definition,[new_symbols(definition,[spl12_5])],[avatar_definition]) ).

fof(f361,plain,
    ( ! [X1] :
        ( ~ leq(nbr_proc,sK8(X1,sK9))
        | ~ elem(m_Down(X1),queue(nbr_proc)) )
    | ~ spl12_5 ),
    inference(avatar_component_clause,[],[f360]) ).

fof(f363,definition,
    ( spl12_6
  <=> ! [X2,X0] :
        ( host(X0) != nbr_proc
        | ~ setIn(X2,alive)
        | ~ elem(m_Down(X0),queue(host(X2))) ) ),
    introduced(definition,[new_symbols(definition,[spl12_6])],[avatar_definition]) ).

fof(f364,plain,
    ( ! [X2,X0] :
        ( host(X0) != nbr_proc
        | ~ setIn(X2,alive)
        | ~ elem(m_Down(X0),queue(host(X2))) )
    | ~ spl12_6 ),
    inference(avatar_component_clause,[],[f363]) ).

fof(f365,plain,
    ( spl12_5
    | spl12_6 ),
    inference(avatar_split_clause,[],[f357,f363,f360]) ).

fof(f367,plain,
    ! [X2,X0,X1] :
      ( elec_1 != index(status,nbr_proc)
      | host(X0) != nbr_proc
      | nbr_proc != nbr_proc
      | ~ elem(m_Down(X1),queue(nbr_proc))
      | host(X1) != sK8(X1,sK9)
      | ~ elem(m_Down(X0),queue(host(X2)))
      | ~ setIn(X2,alive) ),
    inference(superposition,[],[f194,f228]) ).

fof(f370,plain,
    ! [X2,X0,X1] :
      ( elec_1 != index(status,nbr_proc)
      | host(X0) != nbr_proc
      | ~ elem(m_Down(X1),queue(nbr_proc))
      | host(X1) != sK8(X1,sK9)
      | ~ elem(m_Down(X0),queue(host(X2)))
      | ~ setIn(X2,alive) ),
    inference(trivial_inequality_removal,[],[f367]) ).

fof(f372,plain,
    ! [X2,X0,X1] :
      ( host(X0) != nbr_proc
      | ~ elem(m_Down(X1),queue(nbr_proc))
      | host(X1) != sK8(X1,sK9)
      | ~ elem(m_Down(X0),queue(host(X2)))
      | ~ setIn(X2,alive) ),
    inference(forward_subsumption_resolution,[],[f370,f229]) ).

fof(f375,plain,
    ! [X2,X0,X1] :
      ( elec_1 != index(status,nbr_proc)
      | host(X0) != nbr_proc
      | nbr_proc != nbr_proc
      | ~ elem(m_Down(X1),queue(nbr_proc))
      | ~ setIn(sK8(X1,sK9),index(down,nbr_proc))
      | ~ elem(m_Down(X0),queue(host(X2)))
      | ~ setIn(X2,alive) ),
    inference(superposition,[],[f195,f228]) ).

fof(f378,plain,
    ! [X2,X0,X1] :
      ( elec_1 != index(status,nbr_proc)
      | host(X0) != nbr_proc
      | ~ elem(m_Down(X1),queue(nbr_proc))
      | ~ setIn(sK8(X1,sK9),index(down,nbr_proc))
      | ~ elem(m_Down(X0),queue(host(X2)))
      | ~ setIn(X2,alive) ),
    inference(trivial_inequality_removal,[],[f375]) ).

fof(f380,plain,
    ! [X2,X0,X1] :
      ( host(X0) != nbr_proc
      | ~ elem(m_Down(X1),queue(nbr_proc))
      | ~ setIn(sK8(X1,sK9),index(down,nbr_proc))
      | ~ elem(m_Down(X0),queue(host(X2)))
      | ~ setIn(X2,alive) ),
    inference(forward_subsumption_resolution,[],[f378,f229]) ).

fof(f387,plain,
    ( ! [X0] :
        ( nbr_proc != nbr_proc
        | ~ setIn(X0,alive)
        | ~ elem(m_Down(sK9),queue(host(X0))) )
    | ~ spl12_6 ),
    inference(superposition,[],[f364,f228]) ).

fof(f389,plain,
    ( ! [X0] :
        ( ~ elem(m_Down(sK9),queue(host(X0)))
        | ~ setIn(X0,alive) )
    | ~ spl12_6 ),
    inference(trivial_inequality_removal,[],[f387]) ).

fof(f496,plain,
    ! [X0] :
      ( elem(X0,queue(host(sK5)))
      | ~ elem(X0,sK3) ),
    inference(superposition,[],[f140,f208]) ).

fof(f509,plain,
    ( ~ elem(m_Down(sK9),sK3)
    | ~ setIn(sK5,alive)
    | ~ spl12_6 ),
    inference(resolution,[],[f496,f389]) ).

fof(f513,plain,
    ( ~ elem(m_Down(sK9),sK3)
    | ~ spl12_6 ),
    inference(forward_subsumption_resolution,[],[f509,f209]) ).

fof(f663,plain,
    ( m_Down(sK9) = m_Halt(sK5)
    | elem(m_Down(sK9),sK3) ),
    inference(resolution,[],[f142,f190]) ).

fof(f667,plain,
    elem(m_Down(sK9),sK3),
    inference(forward_subsumption_resolution,[],[f663,f105]) ).

fof(f668,plain,
    ( $false
    | ~ spl12_6 ),
    inference(forward_subsumption_resolution,[],[f667,f513]) ).

fof(f669,plain,
    ~ spl12_6,
    inference(avatar_contradiction_clause,[],[f668]) ).

fof(f952,definition,
    ( spl12_17
  <=> ! [X1] :
        ( ~ elem(m_Down(X1),queue(nbr_proc))
        | leq(s(zero),sK8(X1,sK9)) ) ),
    introduced(definition,[new_symbols(definition,[spl12_17])],[avatar_definition]) ).

fof(f953,plain,
    ( ! [X1] :
        ( leq(s(zero),sK8(X1,sK9))
        | ~ elem(m_Down(X1),queue(nbr_proc)) )
    | ~ spl12_17 ),
    inference(avatar_component_clause,[],[f952]) ).

fof(f954,plain,
    ( spl12_17
    | spl12_6 ),
    inference(avatar_split_clause,[],[f349,f363,f952]) ).

fof(f988,definition,
    ( spl12_19
  <=> ! [X1] :
        ( ~ elem(m_Down(X1),queue(nbr_proc))
        | host(X1) != sK8(X1,sK9) ) ),
    introduced(definition,[new_symbols(definition,[spl12_19])],[avatar_definition]) ).

fof(f989,plain,
    ( ! [X1] :
        ( ~ elem(m_Down(X1),queue(nbr_proc))
        | host(X1) != sK8(X1,sK9) )
    | ~ spl12_19 ),
    inference(avatar_component_clause,[],[f988]) ).

fof(f990,plain,
    ( spl12_19
    | spl12_6 ),
    inference(avatar_split_clause,[],[f372,f363,f988]) ).

fof(f1001,plain,
    ( host(sK10) != sK8(sK10,sK9)
    | ~ spl12_19 ),
    inference(resolution,[],[f989,f230]) ).

fof(f1008,definition,
    ( spl12_21
  <=> ! [X1] :
        ( ~ elem(m_Down(X1),queue(nbr_proc))
        | ~ setIn(sK8(X1,sK9),index(down,nbr_proc)) ) ),
    introduced(definition,[new_symbols(definition,[spl12_21])],[avatar_definition]) ).

fof(f1009,plain,
    ( ! [X1] :
        ( ~ setIn(sK8(X1,sK9),index(down,nbr_proc))
        | ~ elem(m_Down(X1),queue(nbr_proc)) )
    | ~ spl12_21 ),
    inference(avatar_component_clause,[],[f1008]) ).

fof(f1010,plain,
    ( spl12_21
    | spl12_6 ),
    inference(avatar_split_clause,[],[f380,f363,f1008]) ).

fof(f1011,plain,
    ( ! [X0] :
        ( ~ elem(m_Down(X0),queue(nbr_proc))
        | leq(nbr_proc,sK8(X0,sK9))
        | ~ leq(s(zero),sK8(X0,sK9))
        | host(sK10) = sK8(X0,sK9) )
    | ~ spl12_21 ),
    inference(resolution,[],[f1009,f281]) ).

fof(f1012,plain,
    ( ! [X0] :
        ( ~ elem(m_Down(X0),queue(nbr_proc))
        | leq(nbr_proc,sK8(X0,sK9))
        | host(sK10) = sK8(X0,sK9) )
    | ~ spl12_17
    | ~ spl12_21 ),
    inference(forward_subsumption_resolution,[],[f1011,f953]) ).

fof(f1013,plain,
    ( ! [X0] :
        ( ~ elem(m_Down(X0),queue(nbr_proc))
        | host(sK10) = sK8(X0,sK9) )
    | ~ spl12_5
    | ~ spl12_17
    | ~ spl12_21 ),
    inference(forward_subsumption_resolution,[],[f1012,f361]) ).

fof(f3059,plain,
    ( host(sK10) = sK8(sK10,sK9)
    | ~ spl12_5
    | ~ spl12_17
    | ~ spl12_21 ),
    inference(resolution,[],[f1013,f230]) ).

fof(f3061,plain,
    ( $false
    | ~ spl12_5
    | ~ spl12_17
    | ~ spl12_19
    | ~ spl12_21 ),
    inference(forward_subsumption_resolution,[],[f3059,f1001]) ).

fof(f3062,plain,
    ( ~ spl12_5
    | ~ spl12_17
    | ~ spl12_19
    | ~ spl12_21 ),
    inference(avatar_contradiction_clause,[],[f3061]) ).

cnf(s3,plain,
    ( spl12_5
    | spl12_6 ),
    inference(sat_conversion,[],[f365]) ).

cnf(s8,plain,
    ~ spl12_6,
    inference(sat_conversion,[],[f669]) ).

cnf(s11,plain,
    ( spl12_6
    | spl12_17 ),
    inference(sat_conversion,[],[f954]) ).

cnf(s13,plain,
    ( spl12_6
    | spl12_19 ),
    inference(sat_conversion,[],[f990]) ).

cnf(s15,plain,
    ( spl12_6
    | spl12_21 ),
    inference(sat_conversion,[],[f1010]) ).

cnf(s17,plain,
    ( ~ spl12_5
    | ~ spl12_17
    | ~ spl12_19
    | ~ spl12_21 ),
    inference(sat_conversion,[],[f3062]) ).

cnf(s19,plain,
    spl12_21,
    inference(rat,[],[s15,s8]) ).

cnf(s21,plain,
    spl12_19,
    inference(rat,[],[s13,s8]) ).

cnf(s23,plain,
    spl12_17,
    inference(rat,[],[s11,s8]) ).

cnf(s24,plain,
    ~ spl12_5,
    inference(rat,[],[s17,s19,s21,s23]) ).

cnf(s26,plain,
    $false,
    inference(rat,[],[s3,s8,s24]) ).

fof(f3063,plain,
    $false,
    inference(avatar_sat_refutation,[],[s26]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SWV472+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05  % Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.07/0.19  % Computer : n008.cluster.edu
% 0.07/0.19  % Model    : x86_64 x86_64
% 0.07/0.19  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.19  % Memory   : 8046.5625MB
% 0.07/0.19  % OS       : Linux 6.8.0-71-generic
% 0.07/0.19  % CPULimit : 300
% 0.07/0.19  % WCLimit  : 300
% 0.07/0.19  % DateTime : Mon Sep 28 11:10:55 UTC 2026
% 0.07/0.19  % CPUTime  : 
% 0.07/0.19  Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.07/0.22  Running first-order model finding
% 0.07/0.22  Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 7.65/1.41  % (2182906)Will run a generic schedule for satisfiability detection.
% 7.65/1.41  % (2182915)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1781648283:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 7.65/1.41  % (2182912)% WARNING: option uhcvi not known.
% 7.65/1.41  % (2182911)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1870825337_2999 on theBenchmark for (2999ds/0Mi)
% 7.65/1.41  % (2182912)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=576488173:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 7.65/1.41  % (2182916)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=442769438:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 7.65/1.41  % (2182913)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2996601742:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 7.65/1.41  % (2182914)dis+10_1_sil=32000:sp=arity:random_seed=3133240350:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 7.65/1.41  % (2182917)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=4248875681:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 7.65/1.41  % Detected minimum model sizes of [4]
% 7.65/1.41  % Detected maximum model sizes of [max]
% 7.65/1.41  % TRYING [4]
% 7.65/1.41  % (2182915)Instruction limit reached! 
% 7.65/1.41  % (2182915)------------------------------
% 7.65/1.41  % (2182915)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.65/1.41  % (2182915)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.65/1.41  % (2182915)CaDiCaL version: 2.1.3
% 7.65/1.41  % (2182915)Termination reason: Instruction limit
% 7.65/1.41  % (2182915)Termination phase: Saturation
% 7.65/1.41  % (2182915)Time elapsed: 0.041 s
% 7.65/1.41  % (2182915)Peak memory usage: 12 MB
% 7.65/1.41  % (2182915)Instructions burned: 118 (million)
% 7.65/1.41  % TRYING [5]
% 7.65/1.41  % (2182925)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=2848129442:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 7.65/1.41  % Detected minimum model sizes of [4]
% 7.65/1.41  % Detected maximum model sizes of [max]
% 7.65/1.41  % TRYING [4]
% 7.65/1.41  % TRYING [5]
% 7.65/1.41  % (2182914)Instruction limit reached! 
% 7.65/1.41  % (2182914)------------------------------
% 7.65/1.41  % (2182914)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.65/1.41  % (2182914)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.65/1.41  % (2182914)CaDiCaL version: 2.1.3
% 7.65/1.41  % (2182914)Termination reason: Instruction limit
% 7.65/1.41  % (2182914)Termination phase: Saturation
% 7.65/1.41  % (2182914)Time elapsed: 0.070 s
% 7.65/1.41  % (2182914)Peak memory usage: 12 MB
% 7.65/1.41  % (2182914)Instructions burned: 104 (million)
% 7.65/1.41  % (2182916)Instruction limit reached! 
% 7.65/1.41  % (2182916)------------------------------
% 7.65/1.41  % (2182916)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.65/1.41  % (2182916)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.65/1.41  % (2182916)CaDiCaL version: 2.1.3
% 7.65/1.41  % (2182916)Termination reason: Instruction limit
% 7.65/1.41  % (2182916)Termination phase: Saturation
% 7.65/1.41  % (2182916)Time elapsed: 0.081 s
% 7.65/1.41  % (2182916)Peak memory usage: 13 MB
% 7.65/1.41  % (2182916)Instructions burned: 131 (million)
% 7.65/1.41  % TRYING [6]
% 7.65/1.41  % (2182927)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=1852266295:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 7.65/1.41  % TRYING [6]
% 7.65/1.41  % (2182917)Instruction limit reached! 
% 7.65/1.41  % (2182917)------------------------------
% 7.65/1.41  % (2182917)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.65/1.41  % (2182917)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.65/1.41  % (2182917)CaDiCaL version: 2.1.3
% 7.65/1.41  % (2182917)Termination reason: Instruction limit
% 7.65/1.41  % (2182917)Termination phase: Saturation
% 7.65/1.41  % (2182917)Time elapsed: 0.103 s
% 7.65/1.41  % (2182917)Peak memory usage: 14 MB
% 7.65/1.41  % (2182917)Instructions burned: 160 (million)
% 7.65/1.41  % (2182928)dis+11_32_anc=none:slsqr=2,1:sil=64000:sas=cadical:lma=off:lsd=50:s2agt=8:slsqc=1:kmz=on:newcnf=on:slsq=on:random_seed=46722295:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 7.65/1.41  % (2182931)ott-21_1_sil=16000:fs=off:random_seed=3173780400:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 7.65/1.41  % TRYING [7]
% 7.65/1.41  % (2182927)Instruction limit reached! 
% 7.65/1.41  % (2182927)------------------------------
% 7.65/1.41  % (2182927)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.65/1.41  % (2182927)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.65/1.41  % (2182927)CaDiCaL version: 2.1.3
% 7.65/1.41  % (2182927)Termination reason: Instruction limit
% 7.65/1.41  % (2182927)Termination phase: Saturation
% 7.65/1.41  % (2182927)Time elapsed: 0.091 s
% 7.65/1.41  % (2182927)Peak memory usage: 13 MB
% 7.65/1.41  % (2182927)Instructions burned: 132 (million)
% 7.65/1.41  % (2182933)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=609147677:i=477:bd=all_2997 on theBenchmark for (2997ds/477Mi)
% 7.65/1.41  % TRYING [7]
% 7.65/1.41  % (2182925)Instruction limit reached! 
% 7.65/1.41  % (2182925)------------------------------
% 7.65/1.41  % (2182925)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.65/1.41  % (2182925)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.65/1.41  % (2182925)CaDiCaL version: 2.1.3
% 7.65/1.41  % (2182925)Termination reason: Instruction limit
% 7.65/1.41  % (2182925)Termination phase: Finite model building constraint generation
% 7.65/1.41  % (2182925)Time elapsed: 0.169 s
% 7.65/1.41  % (2182925)Peak memory usage: 28 MB
% 7.65/1.41  % (2182925)Instructions burned: 714 (million)
% 7.65/1.41  % (2182931)Instruction limit reached! 
% 7.65/1.41  % (2182931)------------------------------
% 7.65/1.41  % (2182931)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.65/1.41  % (2182931)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.65/1.41  % (2182931)CaDiCaL version: 2.1.3
% 7.65/1.41  % (2182931)Termination reason: Instruction limit
% 7.65/1.41  % (2182931)Termination phase: Saturation
% 7.65/1.41  % (2182931)Time elapsed: 0.101 s
% 7.65/1.41  % (2182931)Peak memory usage: 13 MB
% 7.65/1.41  % (2182931)Instructions burned: 181 (million)
% 7.65/1.41  % (2182935)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=1142410888:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 7.65/1.41  % (2182936)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=3113240011:i=1179_2997 on theBenchmark for (2997ds/1179Mi)
% 7.65/1.41  % Detected minimum model sizes of [4]
% 7.65/1.41  % Detected maximum model sizes of [max]
% 7.65/1.41  % TRYING [4]
% 7.65/1.41  % TRYING [5]
% 7.65/1.41  % TRYING [6]
% 7.65/1.41  % TRYING [8]
% 7.65/1.41  % (2182935)Instruction limit reached! 
% 7.65/1.41  % (2182935)------------------------------
% 7.65/1.41  % (2182935)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.65/1.41  % (2182935)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.65/1.41  % (2182935)CaDiCaL version: 2.1.3
% 7.65/1.41  % (2182935)Termination reason: Instruction limit
% 7.65/1.41  % (2182935)Termination phase: Finite model building SAT solving
% 7.65/1.41  % (2182935)Time elapsed: 0.183 s
% 7.65/1.41  % (2182935)Peak memory usage: 21 MB
% 7.65/1.41  % (2182935)Instructions burned: 870 (million)
% 7.65/1.41  % (2182939)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=3893870430:i=889:ins=1_2995 on theBenchmark for (2995ds/889Mi)
% 7.65/1.41  % TRYING [14]
% 7.65/1.41  % (2182928)Instruction limit reached! 
% 7.65/1.41  % (2182928)------------------------------
% 7.65/1.41  % (2182928)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.65/1.41  % (2182928)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.65/1.41  % (2182928)CaDiCaL version: 2.1.3
% 7.65/1.41  % (2182928)Termination reason: Instruction limit
% 7.65/1.41  % (2182928)Termination phase: Saturation
% 7.65/1.41  % (2182928)Time elapsed: 0.371 s
% 7.65/1.41  % (2182928)Peak memory usage: 16 MB
% 7.65/1.41  % (2182928)Instructions burned: 685 (million)
% 7.65/1.41  % (2182941)ott+1_16_sil=32000:plsq=on:plsqc=2:sas=cadical:avsql=on:sp=reverse_frequency:plsqr=128,1:bsr=unit_only:rp=on:newcnf=on:random_seed=1800979660:avsq=on:s2a=on:i=692:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rawr=on_2994 on theBenchmark for (2994ds/692Mi)
% 7.65/1.41  % (2182933)Instruction limit reached! 
% 7.65/1.41  % (2182933)------------------------------
% 7.65/1.41  % (2182933)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.65/1.41  % (2182933)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.65/1.41  % (2182933)CaDiCaL version: 2.1.3
% 7.65/1.41  % (2182933)Termination reason: Instruction limit
% 7.65/1.41  % (2182933)Termination phase: Saturation
% 7.65/1.41  % (2182933)Time elapsed: 0.312 s
% 7.65/1.41  % (2182933)Peak memory usage: 14 MB
% 7.65/1.41  % (2182933)Instructions burned: 477 (million)
% 7.65/1.41  % (2182943)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=459053229:i=879:kws=inv_precedence:fsr=off_2994 on theBenchmark for (2994ds/879Mi)
% 7.65/1.41  % (2182939)Instruction limit reached! 
% 7.65/1.41  % (2182939)------------------------------
% 7.65/1.41  % (2182939)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.65/1.41  % (2182939)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.65/1.41  % (2182939)CaDiCaL version: 2.1.3
% 7.65/1.41  % (2182939)Termination reason: Instruction limit
% 7.65/1.41  % (2182939)Termination phase: Finite model building constraint generation
% 7.65/1.41  % (2182939)Time elapsed: 0.179 s
% 7.65/1.41  % (2182939)Peak memory usage: 76 MB
% 7.65/1.41  % (2182939)Instructions burned: 896 (million)
% 7.65/1.41  % (2182945)fmb+10_1_sil=64000:random_seed=3705815207:i=22061:nm=2:gsp=on_2993 on theBenchmark for (2993ds/22061Mi)
% 7.65/1.41  % Detected minimum model sizes of [4]
% 7.65/1.41  % Detected maximum model sizes of [max]
% 7.65/1.41  % TRYING [4]
% 7.65/1.41  % TRYING [5]
% 7.65/1.41  % TRYING [6]
% 7.65/1.41  % TRYING [7]
% 7.65/1.41  % (2182941)Instruction limit reached! 
% 7.65/1.41  % (2182941)------------------------------
% 7.65/1.41  % (2182941)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.65/1.41  % (2182941)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.65/1.41  % (2182941)CaDiCaL version: 2.1.3
% 7.65/1.41  % (2182941)Termination reason: Instruction limit
% 7.65/1.41  % (2182941)Termination phase: Saturation
% 7.65/1.41  % (2182941)Time elapsed: 0.302 s
% 7.65/1.41  % (2182941)Peak memory usage: 16 MB
% 7.65/1.41  % (2182941)Instructions burned: 693 (million)
% 7.65/1.41  % (2182947)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=2303216087:i=9515:nm=5_2991 on theBenchmark for (2991ds/9515Mi)
% 7.65/1.41  % TRYING [9]
% 7.65/1.41  % Detected minimum model sizes of [4]
% 7.65/1.41  % Detected maximum model sizes of [max]
% 7.65/1.41  % TRYING [20]
% 7.65/1.41  % TRYING [8]
% 7.65/1.41  % (2182936)Instruction limit reached! 
% 7.65/1.41  % (2182936)------------------------------
% 7.65/1.41  % (2182936)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.65/1.41  % (2182936)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.65/1.41  % (2182936)CaDiCaL version: 2.1.3
% 7.65/1.41  % (2182936)Termination reason: Instruction limit
% 7.65/1.41  % (2182936)Termination phase: Saturation
% 7.65/1.41  % (2182936)Time elapsed: 0.727 s
% 7.65/1.41  % (2182936)Peak memory usage: 19 MB
% 7.65/1.41  % (2182936)Instructions burned: 1181 (million)
% 7.65/1.41  % (2182949)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=355444289:fmbsr=1.7:i=920_2989 on theBenchmark for (2989ds/920Mi)
% 7.65/1.41  % Detected minimum model sizes of [4]
% 7.65/1.41  % Detected maximum model sizes of [max]
% 7.65/1.41  % TRYING [8]
% 7.65/1.41  % (2182943)Instruction limit reached! 
% 7.65/1.41  % (2182943)------------------------------
% 7.65/1.41  % (2182943)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.65/1.41  % (2182943)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.65/1.41  % (2182943)CaDiCaL version: 2.1.3
% 7.65/1.41  % (2182943)Termination reason: Instruction limit
% 7.65/1.41  % (2182943)Termination phase: Saturation
% 7.65/1.41  % (2182943)Time elapsed: 0.496 s
% 7.65/1.41  % (2182943)Peak memory usage: 20 MB
% 7.65/1.41  % (2182943)Instructions burned: 880 (million)
% 7.65/1.41  % (2182951)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=3795843824:i=5131_2989 on theBenchmark for (2989ds/5131Mi)
% 7.65/1.41  % (2182951) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2182906-2182951"...
% 7.65/1.41  % (2182951)...printing done.
% 7.65/1.41  % (2182951)Refutation found. Thanks to Tanya!
% 7.65/1.41  % SZS status Theorem for theBenchmark
% 7.65/1.41  % SZS output start Proof for theBenchmark
% See solution above
% 7.65/1.41  % (2182951)------------------------------
% 7.65/1.41  % (2182951)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.65/1.41  % (2182951)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.65/1.41  % (2182951)CaDiCaL version: 2.1.3
% 7.65/1.41  % (2182951)Termination reason: Refutation
% 7.65/1.41  % (2182951)Time elapsed: 0.073 s
% 7.65/1.41  % (2182951)Peak memory usage: 13 MB
% 7.65/1.41  % (2182951)Instructions burned: 116 (million)
% 7.65/1.41  % (2182906)Success in time 1.186 s
% 7.65/1.41  % Vampire exiting
%------------------------------------------------------------------------------