↑ 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  : SWV474+1 : TPTP v9.3.1. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT

% Computer : n010.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 0.90s 0.44s
% Output   : Refutation 0.90s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   22
%            Number of leaves      :   16
% Syntax   : Number of formulae    :  136 (  40 unt;  11 def)
%            Number of atoms       :  783 ( 325 equ)
%            Maximal formula atoms :   75 (   5 avg)
%            Number of connectives : 1031 ( 384   ~; 370   |; 201   &)
%                                         (  13 <=>;  63  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   36 (   5 avg)
%            Maximal term depth    :    4 (   2 avg)
%            Number of predicates  :   16 (  14 usr;  12 prp; 0-2 aty)
%            Number of functors    :   27 (  27 usr;  19 con; 0-2 aty)
%            Number of variables   :  266 (   2 sgn 248   !;  18   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f3,axiom,
    ! [X0] : leq(s(zero),host(X0)),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWV011+0.ax',axiom_02) ).

fof(f5,axiom,
    ! [X0] : leq(host(X0),nbr_proc),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWV011+0.ax',axiom_04) ).

fof(f47,axiom,
    ! [X0,X1,X2] :
      ( elem(X0,cons(X1,X2))
    <=> ( X0 = X1
        | elem(X0,X2) ) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWV011+0.ax',axiom_46) ).

fof(f62,axiom,
    ! [X0,X1] :
      ( ( leq(X0,X1)
        & leq(X1,X0) )
    <=> X0 = X1 ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWV011+0.ax',axiom_61) ).

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_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 )
             => ! [X4] :
                  ( host(X2) != host(X4)
                 => ! [X9,X10,X11] :
                      ( host(X2) = host(X11)
                     => ( ( ! [X8] :
                              ( ( ~ leq(host(X11),X8)
                                & leq(s(zero),X8) )
                             => ( setIn(X8,index(down,host(X2)))
                                | X8 = host(X3)
                                | X8 = host(X10) ) )
                          & elem(m_Down(X10),X0)
                          & host(X11) = host(X9)
                          & host(X11) = nbr_proc
                          & index(status,host(X11)) = elec_1 )
                       => ~ ( setIn(X4,alive)
                            & elem(m_Down(X9),queue(host(X4))) ) ) ) ) ) ) ) ) ),
    file('/export/starexec/sandbox2/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_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 )
               => ! [X4] :
                    ( host(X2) != host(X4)
                   => ! [X9,X10,X11] :
                        ( host(X2) = host(X11)
                       => ( ( ! [X8] :
                                ( ( ~ leq(host(X11),X8)
                                  & leq(s(zero),X8) )
                               => ( setIn(X8,index(down,host(X2)))
                                  | X8 = host(X3)
                                  | X8 = host(X10) ) )
                            & elem(m_Down(X10),X0)
                            & host(X11) = host(X9)
                            & host(X11) = nbr_proc
                            & index(status,host(X11)) = elec_1 )
                         => ~ ( setIn(X4,alive)
                              & elem(m_Down(X9),queue(host(X4))) ) ) ) ) ) ) ) ) ),
    inference(negated_conjecture,[status(cth)],[f67]) ).

fof(f69,plain,
    ~ ! [X0,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_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))) ) )
             => ( ~ ( ! [X32] :
                        ( ( ~ leq(host(X2),X32)
                          & leq(s(zero),X32) )
                       => ( setIn(X32,index(down,host(X2)))
                          | host(X3) = X32 ) )
                    & index(status,host(X2)) = elec_1 )
               => ! [X33] :
                    ( host(X2) != host(X33)
                   => ! [X34,X35,X36] :
                        ( host(X2) = host(X36)
                       => ( ( ! [X37] :
                                ( ( ~ leq(host(X36),X37)
                                  & leq(s(zero),X37) )
                               => ( setIn(X37,index(down,host(X2)))
                                  | host(X3) = X37
                                  | host(X35) = X37 ) )
                            & elem(m_Down(X35),X0)
                            & host(X36) = host(X34)
                            & nbr_proc = host(X36)
                            & elec_1 = index(status,host(X36)) )
                         => ~ ( setIn(X33,alive)
                              & elem(m_Down(X34),queue(host(X33))) ) ) ) ) ) ) ) ) ),
    inference(rectify,[],[f68]) ).

fof(f85,plain,
    ? [X0,X2,X3] :
      ( ? [X33] :
          ( ? [X34,X35,X36] :
              ( setIn(X33,alive)
              & elem(m_Down(X34),queue(host(X33)))
              & ! [X37] :
                  ( setIn(X37,index(down,host(X2)))
                  | host(X3) = X37
                  | host(X35) = X37
                  | leq(host(X36),X37)
                  | ~ leq(s(zero),X37) )
              & elem(m_Down(X35),X0)
              & host(X36) = host(X34)
              & nbr_proc = host(X36)
              & elec_1 = index(status,host(X36))
              & host(X2) = host(X36) )
          & host(X2) != host(X33) )
      & ( ? [X32] :
            ( ~ setIn(X32,index(down,host(X2)))
            & host(X3) != X32
            & ~ leq(host(X2),X32)
            & leq(s(zero),X32) )
        | elec_1 != index(status,host(X2)) )
      & ( 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] :
          ( ~ 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_Down(X3),X0) ),
    inference(ennf_transformation,[],[f69]) ).

fof(f86,plain,
    ? [X0,X2,X3] :
      ( ? [X33] :
          ( ? [X34,X35,X36] :
              ( setIn(X33,alive)
              & elem(m_Down(X34),queue(host(X33)))
              & ! [X37] :
                  ( setIn(X37,index(down,host(X2)))
                  | host(X3) = X37
                  | host(X35) = X37
                  | leq(host(X36),X37)
                  | ~ leq(s(zero),X37) )
              & elem(m_Down(X35),X0)
              & host(X36) = host(X34)
              & nbr_proc = host(X36)
              & elec_1 = index(status,host(X36))
              & host(X2) = host(X36) )
          & host(X2) != host(X33) )
      & ( ? [X32] :
            ( ~ setIn(X32,index(down,host(X2)))
            & host(X3) != X32
            & ~ leq(host(X2),X32)
            & leq(s(zero),X32) )
        | elec_1 != index(status,host(X2)) )
      & ( 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] :
          ( ~ 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_Down(X3),X0) ),
    inference(flattening,[],[f85]) ).

fof(f90,plain,
    ! [X0] : leq(s(zero),host(X0)),
    inference(cnf_transformation,[],[f3]) ).

fof(f92,plain,
    ! [X0] : leq(host(X0),nbr_proc),
    inference(cnf_transformation,[],[f5]) ).

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

fof(f141,plain,
    ! [X2,X0,X1] :
      ( X0 != X1
      | elem(X0,cons(X1,X2)) ),
    inference(cnf_transformation,[],[f47]) ).

fof(f173,plain,
    ! [X0,X1] :
      ( ~ leq(X0,X1)
      | ~ leq(X1,X0)
      | X0 = X1 ),
    inference(cnf_transformation,[],[f62]) ).

fof(f183,plain,
    ! [X37] :
      ( ~ leq(s(zero),X37)
      | leq(host(sK11),X37)
      | host(sK10) = X37
      | host(sK5) = X37
      | setIn(X37,index(down,host(sK4))) ),
    inference(cnf_transformation,[],[f86]) ).

fof(f184,plain,
    host(sK11) = host(sK4),
    inference(cnf_transformation,[],[f86]) ).

fof(f185,plain,
    elec_1 = index(status,host(sK11)),
    inference(cnf_transformation,[],[f86]) ).

fof(f186,plain,
    nbr_proc = host(sK11),
    inference(cnf_transformation,[],[f86]) ).

fof(f187,plain,
    host(sK11) = host(sK9),
    inference(cnf_transformation,[],[f86]) ).

fof(f188,plain,
    elem(m_Down(sK10),sK3),
    inference(cnf_transformation,[],[f86]) ).

fof(f189,plain,
    elem(m_Down(sK9),queue(host(sK6))),
    inference(cnf_transformation,[],[f86]) ).

fof(f190,plain,
    setIn(sK6,alive),
    inference(cnf_transformation,[],[f86]) ).

fof(f195,plain,
    ( elec_1 != index(status,host(sK4))
    | leq(s(zero),sK7) ),
    inference(cnf_transformation,[],[f86]) ).

fof(f196,plain,
    ( elec_1 != index(status,host(sK4))
    | ~ leq(host(sK4),sK7) ),
    inference(cnf_transformation,[],[f86]) ).

fof(f197,plain,
    ( elec_1 != index(status,host(sK4))
    | sK7 != host(sK5) ),
    inference(cnf_transformation,[],[f86]) ).

fof(f198,plain,
    ( elec_1 != index(status,host(sK4))
    | ~ setIn(sK7,index(down,host(sK4))) ),
    inference(cnf_transformation,[],[f86]) ).

fof(f201,plain,
    host(sK4) != host(sK6),
    inference(cnf_transformation,[],[f86]) ).

fof(f208,plain,
    ! [X21,X19,X22,X20] :
      ( host(X21) != host(X22)
      | host(X19) != host(X20)
      | ~ setIn(X21,alive)
      | ~ setIn(X19,alive)
      | host(X19) = host(X21)
      | ~ elem(m_Down(X20),queue(host(X21)))
      | ~ elem(m_Down(X22),queue(host(X19))) ),
    inference(cnf_transformation,[],[f86]) ).

fof(f209,plain,
    ! [X26,X24,X25,X23] :
      ( host(X25) != host(X26)
      | host(X23) != host(X24)
      | ~ setIn(X25,alive)
      | ~ setIn(X23,alive)
      | host(X23) = host(X25)
      | ~ setIn(host(X24),index(down,host(X25)))
      | ~ elem(m_Down(X26),queue(host(X23))) ),
    inference(cnf_transformation,[],[f86]) ).

fof(f212,plain,
    queue(host(sK4)) = cons(m_Down(sK5),sK3),
    inference(cnf_transformation,[],[f86]) ).

fof(f213,plain,
    setIn(sK4,alive),
    inference(cnf_transformation,[],[f86]) ).

fof(f221,plain,
    ! [X2,X1] : elem(X1,cons(X1,X2)),
    inference(equality_resolution,[],[f141]) ).

fof(f229,definition,
    ( spl12_1
  <=> leq(s(zero),sK7) ),
    introduced(definition,[new_symbols(definition,[spl12_1])],[avatar_definition]) ).

fof(f231,plain,
    ( leq(s(zero),sK7)
    | ~ spl12_1 ),
    inference(avatar_component_clause,[],[f229]) ).

fof(f233,definition,
    ( spl12_2
  <=> elec_1 = index(status,host(sK4)) ),
    introduced(definition,[new_symbols(definition,[spl12_2])],[avatar_definition]) ).

fof(f235,plain,
    ( elec_1 != index(status,host(sK4))
    | spl12_2 ),
    inference(avatar_component_clause,[],[f233]) ).

fof(f236,plain,
    ( spl12_1
    | ~ spl12_2 ),
    inference(avatar_split_clause,[],[f195,f233,f229]) ).

fof(f238,definition,
    ( spl12_3
  <=> leq(host(sK4),sK7) ),
    introduced(definition,[new_symbols(definition,[spl12_3])],[avatar_definition]) ).

fof(f240,plain,
    ( ~ leq(host(sK4),sK7)
    | spl12_3 ),
    inference(avatar_component_clause,[],[f238]) ).

fof(f241,plain,
    ( ~ spl12_3
    | ~ spl12_2 ),
    inference(avatar_split_clause,[],[f196,f233,f238]) ).

fof(f243,definition,
    ( spl12_4
  <=> sK7 = host(sK5) ),
    introduced(definition,[new_symbols(definition,[spl12_4])],[avatar_definition]) ).

fof(f245,plain,
    ( sK7 != host(sK5)
    | spl12_4 ),
    inference(avatar_component_clause,[],[f243]) ).

fof(f246,plain,
    ( ~ spl12_4
    | ~ spl12_2 ),
    inference(avatar_split_clause,[],[f197,f233,f243]) ).

fof(f248,definition,
    ( spl12_5
  <=> setIn(sK7,index(down,host(sK4))) ),
    introduced(definition,[new_symbols(definition,[spl12_5])],[avatar_definition]) ).

fof(f250,plain,
    ( ~ setIn(sK7,index(down,host(sK4)))
    | spl12_5 ),
    inference(avatar_component_clause,[],[f248]) ).

fof(f251,plain,
    ( ~ spl12_5
    | ~ spl12_2 ),
    inference(avatar_split_clause,[],[f198,f233,f248]) ).

fof(f270,plain,
    nbr_proc = host(sK4),
    inference(forward_demodulation,[],[f184,f186]) ).

fof(f271,plain,
    nbr_proc = host(sK9),
    inference(forward_demodulation,[],[f187,f186]) ).

fof(f272,plain,
    nbr_proc != host(sK6),
    inference(forward_demodulation,[],[f201,f270]) ).

fof(f274,plain,
    elec_1 = index(status,nbr_proc),
    inference(forward_demodulation,[],[f185,f186]) ).

fof(f275,plain,
    ( elec_1 != index(status,nbr_proc)
    | spl12_2 ),
    inference(forward_demodulation,[],[f235,f270]) ).

fof(f276,plain,
    ( $false
    | spl12_2 ),
    inference(forward_subsumption_resolution,[],[f275,f274]) ).

fof(f277,plain,
    spl12_2,
    inference(avatar_contradiction_clause,[],[f276]) ).

fof(f279,plain,
    ( ~ leq(nbr_proc,sK7)
    | spl12_3 ),
    inference(forward_demodulation,[],[f240,f270]) ).

fof(f280,plain,
    ( ~ setIn(sK7,index(down,nbr_proc))
    | spl12_5 ),
    inference(forward_demodulation,[],[f250,f270]) ).

fof(f281,plain,
    cons(m_Down(sK5),sK3) = queue(nbr_proc),
    inference(forward_demodulation,[],[f212,f270]) ).

fof(f414,plain,
    ! [X37] :
      ( leq(nbr_proc,X37)
      | ~ leq(s(zero),X37)
      | host(sK10) = X37
      | host(sK5) = X37
      | setIn(X37,index(down,host(sK4))) ),
    inference(forward_demodulation,[],[f183,f186]) ).

fof(f415,plain,
    ! [X37] :
      ( setIn(X37,index(down,nbr_proc))
      | leq(nbr_proc,X37)
      | ~ leq(s(zero),X37)
      | host(sK10) = X37
      | host(sK5) = X37 ),
    inference(forward_demodulation,[],[f414,f270]) ).

fof(f416,plain,
    ( leq(nbr_proc,sK7)
    | ~ leq(s(zero),sK7)
    | sK7 = host(sK10)
    | sK7 = host(sK5)
    | spl12_5 ),
    inference(resolution,[],[f415,f280]) ).

fof(f417,plain,
    ( ~ leq(s(zero),sK7)
    | sK7 = host(sK10)
    | sK7 = host(sK5)
    | spl12_3
    | spl12_5 ),
    inference(forward_subsumption_resolution,[],[f416,f279]) ).

fof(f418,plain,
    ( sK7 = host(sK10)
    | sK7 = host(sK5)
    | ~ spl12_1
    | spl12_3
    | spl12_5 ),
    inference(forward_subsumption_resolution,[],[f417,f231]) ).

fof(f419,plain,
    ( sK7 = host(sK10)
    | ~ spl12_1
    | spl12_3
    | spl12_4
    | spl12_5 ),
    inference(forward_subsumption_resolution,[],[f418,f245]) ).

fof(f467,definition,
    ( spl12_22
  <=> elem(m_Down(sK10),queue(nbr_proc)) ),
    introduced(definition,[new_symbols(definition,[spl12_22])],[avatar_definition]) ).

fof(f469,plain,
    ( ~ elem(m_Down(sK10),queue(nbr_proc))
    | spl12_22 ),
    inference(avatar_component_clause,[],[f467]) ).

fof(f549,plain,
    ! [X2,X0,X1] :
      ( ~ setIn(X1,alive)
      | host(X1) != host(X2)
      | ~ setIn(X0,alive)
      | host(X0) != nbr_proc
      | host(X0) = host(X1)
      | ~ elem(m_Down(X2),queue(host(X0)))
      | ~ elem(m_Down(sK9),queue(host(X1))) ),
    inference(superposition,[],[f208,f271]) ).

fof(f550,plain,
    ( ! [X2,X0,X1] :
        ( ~ setIn(X1,alive)
        | host(X1) != host(X2)
        | ~ setIn(X0,alive)
        | host(X0) != sK7
        | host(X0) = host(X1)
        | ~ elem(m_Down(X2),queue(host(X0)))
        | ~ elem(m_Down(sK10),queue(host(X1))) )
    | ~ spl12_1
    | spl12_3
    | spl12_4
    | spl12_5 ),
    inference(superposition,[],[f208,f419]) ).

fof(f632,definition,
    ( spl12_28
  <=> ! [X0,X1] :
        ( host(X0) != sK7
        | host(X0) = nbr_proc
        | ~ setIn(X0,alive)
        | host(X1) != nbr_proc
        | ~ elem(m_Down(X1),queue(host(X0))) ) ),
    introduced(definition,[new_symbols(definition,[spl12_28])],[avatar_definition]) ).

fof(f633,plain,
    ( ! [X0,X1] :
        ( ~ setIn(X0,alive)
        | host(X0) = nbr_proc
        | host(X0) != sK7
        | host(X1) != nbr_proc
        | ~ elem(m_Down(X1),queue(host(X0))) )
    | ~ spl12_28 ),
    inference(avatar_component_clause,[],[f632]) ).

fof(f635,plain,
    ! [X2,X0,X1] :
      ( host(X0) != nbr_proc
      | host(X1) != host(X2)
      | ~ setIn(sK4,alive)
      | ~ setIn(X1,alive)
      | host(X1) = nbr_proc
      | ~ setIn(host(X2),index(down,nbr_proc))
      | ~ elem(m_Down(X0),queue(host(X1))) ),
    inference(superposition,[],[f209,f270]) ).

fof(f645,plain,
    ! [X2,X0,X1] :
      ( ~ setIn(X1,alive)
      | host(X1) != host(X2)
      | host(X0) != nbr_proc
      | host(X1) = nbr_proc
      | ~ setIn(host(X2),index(down,nbr_proc))
      | ~ elem(m_Down(X0),queue(host(X1))) ),
    inference(forward_subsumption_resolution,[],[f635,f213]) ).

fof(f910,definition,
    ( spl12_56
  <=> host(sK5) = host(sK6) ),
    introduced(definition,[new_symbols(definition,[spl12_56])],[avatar_definition]) ).

fof(f912,plain,
    ( host(sK5) = host(sK6)
    | ~ spl12_56 ),
    inference(avatar_component_clause,[],[f910]) ).

fof(f922,definition,
    ( spl12_59
  <=> sK7 = host(sK6) ),
    introduced(definition,[new_symbols(definition,[spl12_59])],[avatar_definition]) ).

fof(f1134,plain,
    ! [X0,X1] :
      ( host(X0) != host(sK6)
      | host(X1) != nbr_proc
      | nbr_proc = host(sK6)
      | ~ setIn(host(X0),index(down,nbr_proc))
      | ~ elem(m_Down(X1),queue(host(sK6))) ),
    inference(resolution,[],[f645,f190]) ).

fof(f1136,plain,
    ! [X0,X1] :
      ( host(X0) != host(sK6)
      | host(X1) != nbr_proc
      | ~ setIn(host(X0),index(down,nbr_proc))
      | ~ elem(m_Down(X1),queue(host(sK6))) ),
    inference(forward_subsumption_resolution,[],[f1134,f272]) ).

fof(f1250,plain,
    elem(m_Down(sK5),queue(nbr_proc)),
    inference(superposition,[],[f221,f281]) ).

fof(f1293,definition,
    ( spl12_78
  <=> ! [X1] :
        ( host(X1) != nbr_proc
        | ~ elem(m_Down(X1),queue(host(sK6))) ) ),
    introduced(definition,[new_symbols(definition,[spl12_78])],[avatar_definition]) ).

fof(f1294,plain,
    ( ! [X1] :
        ( ~ elem(m_Down(X1),queue(host(sK6)))
        | host(X1) != nbr_proc )
    | ~ spl12_78 ),
    inference(avatar_component_clause,[],[f1293]) ).

fof(f1296,definition,
    ( spl12_79
  <=> ! [X0] :
        ( host(X0) != host(sK6)
        | ~ setIn(host(X0),index(down,nbr_proc)) ) ),
    introduced(definition,[new_symbols(definition,[spl12_79])],[avatar_definition]) ).

fof(f1297,plain,
    ( ! [X0] :
        ( ~ setIn(host(X0),index(down,nbr_proc))
        | host(X0) != host(sK6) )
    | ~ spl12_79 ),
    inference(avatar_component_clause,[],[f1296]) ).

fof(f1298,plain,
    ( spl12_78
    | spl12_79 ),
    inference(avatar_split_clause,[],[f1136,f1296,f1293]) ).

fof(f1325,plain,
    ( ! [X0] :
        ( host(X0) != host(sK6)
        | leq(nbr_proc,host(X0))
        | ~ leq(s(zero),host(X0))
        | host(X0) = host(sK10)
        | host(X0) = host(sK5) )
    | ~ spl12_79 ),
    inference(resolution,[],[f1297,f415]) ).

fof(f1330,plain,
    ( ! [X0] :
        ( host(X0) != host(sK6)
        | leq(nbr_proc,host(X0))
        | host(X0) = host(sK10)
        | host(X0) = host(sK5) )
    | ~ spl12_79 ),
    inference(forward_subsumption_resolution,[],[f1325,f90]) ).

fof(f1331,plain,
    ( ! [X0] :
        ( leq(nbr_proc,host(X0))
        | host(X0) != host(sK6)
        | host(X0) = sK7
        | host(X0) = host(sK5) )
    | ~ spl12_1
    | spl12_3
    | spl12_4
    | spl12_5
    | ~ spl12_79 ),
    inference(forward_demodulation,[],[f1330,f419]) ).

fof(f1350,plain,
    ! [X0,X1] :
      ( host(X0) != host(sK6)
      | ~ setIn(X1,alive)
      | host(X1) != nbr_proc
      | host(X1) = host(sK6)
      | ~ elem(m_Down(X0),queue(host(X1)))
      | ~ elem(m_Down(sK9),queue(host(sK6))) ),
    inference(resolution,[],[f549,f190]) ).

fof(f1353,plain,
    ! [X0,X1] :
      ( ~ setIn(X1,alive)
      | host(X0) != host(sK6)
      | host(X1) != nbr_proc
      | host(X1) = host(sK6)
      | ~ elem(m_Down(X0),queue(host(X1))) ),
    inference(forward_subsumption_resolution,[],[f1350,f189]) ).

fof(f1356,plain,
    ! [X0] :
      ( host(X0) != host(sK6)
      | nbr_proc != host(sK4)
      | host(sK4) = host(sK6)
      | ~ elem(m_Down(X0),queue(host(sK4))) ),
    inference(resolution,[],[f1353,f213]) ).

fof(f1357,plain,
    ! [X0] :
      ( host(X0) != host(sK6)
      | host(sK4) = host(sK6)
      | ~ elem(m_Down(X0),queue(host(sK4))) ),
    inference(forward_subsumption_resolution,[],[f1356,f270]) ).

fof(f1358,plain,
    ! [X0] :
      ( nbr_proc = host(sK6)
      | host(X0) != host(sK6)
      | ~ elem(m_Down(X0),queue(host(sK4))) ),
    inference(forward_demodulation,[],[f1357,f270]) ).

fof(f1359,plain,
    ! [X0] :
      ( host(X0) != host(sK6)
      | ~ elem(m_Down(X0),queue(host(sK4))) ),
    inference(forward_subsumption_resolution,[],[f1358,f272]) ).

fof(f1360,plain,
    ! [X0] :
      ( ~ elem(m_Down(X0),queue(nbr_proc))
      | host(X0) != host(sK6) ),
    inference(forward_demodulation,[],[f1359,f270]) ).

fof(f1361,plain,
    host(sK5) != host(sK6),
    inference(resolution,[],[f1360,f1250]) ).

fof(f1469,plain,
    ( ! [X0,X1] :
        ( host(X0) != host(sK4)
        | ~ setIn(X1,alive)
        | host(X1) != sK7
        | host(X1) = host(sK4)
        | ~ elem(m_Down(X0),queue(host(X1)))
        | ~ elem(m_Down(sK10),queue(host(sK4))) )
    | ~ spl12_1
    | spl12_3
    | spl12_4
    | spl12_5 ),
    inference(resolution,[],[f550,f213]) ).

fof(f1470,plain,
    ( ! [X0,X1] :
        ( host(X0) != nbr_proc
        | ~ setIn(X1,alive)
        | host(X1) != sK7
        | host(X1) = host(sK4)
        | ~ elem(m_Down(X0),queue(host(X1)))
        | ~ elem(m_Down(sK10),queue(host(sK4))) )
    | ~ spl12_1
    | spl12_3
    | spl12_4
    | spl12_5 ),
    inference(forward_demodulation,[],[f1469,f270]) ).

fof(f1479,plain,
    ( ! [X0,X1] :
        ( host(X1) = nbr_proc
        | host(X0) != nbr_proc
        | ~ setIn(X1,alive)
        | host(X1) != sK7
        | ~ elem(m_Down(X0),queue(host(X1)))
        | ~ elem(m_Down(sK10),queue(host(sK4))) )
    | ~ spl12_1
    | spl12_3
    | spl12_4
    | spl12_5 ),
    inference(forward_demodulation,[],[f1470,f270]) ).

fof(f1480,plain,
    ( ! [X0,X1] :
        ( ~ elem(m_Down(sK10),queue(nbr_proc))
        | host(X1) = nbr_proc
        | host(X0) != nbr_proc
        | ~ setIn(X1,alive)
        | host(X1) != sK7
        | ~ elem(m_Down(X0),queue(host(X1))) )
    | ~ spl12_1
    | spl12_3
    | spl12_4
    | spl12_5 ),
    inference(forward_demodulation,[],[f1479,f270]) ).

fof(f1543,plain,
    ! [X0] :
      ( ~ elem(X0,sK3)
      | elem(X0,queue(nbr_proc)) ),
    inference(superposition,[],[f140,f281]) ).

fof(f1545,plain,
    elem(m_Down(sK10),queue(nbr_proc)),
    inference(resolution,[],[f1543,f188]) ).

fof(f1562,plain,
    ( $false
    | spl12_22 ),
    inference(forward_subsumption_resolution,[],[f1545,f469]) ).

fof(f1563,plain,
    spl12_22,
    inference(avatar_contradiction_clause,[],[f1562]) ).

fof(f1564,plain,
    ( spl12_28
    | ~ spl12_22
    | ~ spl12_1
    | spl12_3
    | spl12_4
    | spl12_5 ),
    inference(avatar_split_clause,[],[f1480,f248,f243,f238,f229,f467,f632]) ).

fof(f1693,plain,
    ( ! [X0] :
        ( nbr_proc = host(sK6)
        | sK7 != host(sK6)
        | host(X0) != nbr_proc
        | ~ elem(m_Down(X0),queue(host(sK6))) )
    | ~ spl12_28 ),
    inference(resolution,[],[f633,f190]) ).

fof(f1863,plain,
    ( ! [X0] :
        ( ~ leq(host(X0),nbr_proc)
        | host(X0) = nbr_proc
        | host(X0) != host(sK6)
        | host(X0) = sK7
        | host(X0) = host(sK5) )
    | ~ spl12_1
    | spl12_3
    | spl12_4
    | spl12_5
    | ~ spl12_79 ),
    inference(resolution,[],[f173,f1331]) ).

fof(f1868,plain,
    ( ! [X0] :
        ( host(X0) != host(sK6)
        | host(X0) = nbr_proc
        | host(X0) = sK7
        | host(X0) = host(sK5) )
    | ~ spl12_1
    | spl12_3
    | spl12_4
    | spl12_5
    | ~ spl12_79 ),
    inference(forward_subsumption_resolution,[],[f1863,f92]) ).

fof(f2051,plain,
    ( nbr_proc = host(sK6)
    | sK7 = host(sK6)
    | host(sK5) = host(sK6)
    | ~ spl12_1
    | spl12_3
    | spl12_4
    | spl12_5
    | ~ spl12_79 ),
    inference(equality_resolution,[],[f1868]) ).

fof(f2052,plain,
    ( sK7 = host(sK6)
    | host(sK5) = host(sK6)
    | ~ spl12_1
    | spl12_3
    | spl12_4
    | spl12_5
    | ~ spl12_79 ),
    inference(forward_subsumption_resolution,[],[f2051,f272]) ).

fof(f2056,plain,
    ( nbr_proc != host(sK9)
    | ~ spl12_78 ),
    inference(resolution,[],[f1294,f189]) ).

fof(f2059,plain,
    ( $false
    | ~ spl12_78 ),
    inference(forward_subsumption_resolution,[],[f2056,f271]) ).

fof(f2060,plain,
    ~ spl12_78,
    inference(avatar_contradiction_clause,[],[f2059]) ).

fof(f2063,plain,
    ( ! [X0] :
        ( sK7 != host(sK6)
        | host(X0) != nbr_proc
        | ~ elem(m_Down(X0),queue(host(sK6))) )
    | ~ spl12_28 ),
    inference(forward_subsumption_resolution,[],[f1693,f272]) ).

fof(f2065,plain,
    ( spl12_78
    | ~ spl12_59
    | ~ spl12_28 ),
    inference(avatar_split_clause,[],[f2063,f632,f922,f1293]) ).

fof(f2107,plain,
    ( spl12_56
    | spl12_59
    | ~ spl12_1
    | spl12_3
    | spl12_4
    | spl12_5
    | ~ spl12_79 ),
    inference(avatar_split_clause,[],[f2052,f1296,f248,f243,f238,f229,f922,f910]) ).

fof(f2486,plain,
    ( $false
    | ~ spl12_56 ),
    inference(forward_subsumption_resolution,[],[f912,f1361]) ).

fof(f2487,plain,
    ~ spl12_56,
    inference(avatar_contradiction_clause,[],[f2486]) ).

cnf(s1,plain,
    ( spl12_1
    | ~ spl12_2 ),
    inference(sat_conversion,[],[f236]) ).

cnf(s2,plain,
    ( ~ spl12_2
    | ~ spl12_3 ),
    inference(sat_conversion,[],[f241]) ).

cnf(s3,plain,
    ( ~ spl12_2
    | ~ spl12_4 ),
    inference(sat_conversion,[],[f246]) ).

cnf(s4,plain,
    ( ~ spl12_2
    | ~ spl12_5 ),
    inference(sat_conversion,[],[f251]) ).

cnf(s7,plain,
    spl12_2,
    inference(sat_conversion,[],[f277]) ).

cnf(s83,plain,
    ( spl12_78
    | spl12_79 ),
    inference(sat_conversion,[],[f1298]) ).

cnf(s95,plain,
    spl12_22,
    inference(sat_conversion,[],[f1563]) ).

cnf(s96,plain,
    ( ~ spl12_1
    | spl12_3
    | spl12_4
    | spl12_5
    | ~ spl12_22
    | spl12_28 ),
    inference(sat_conversion,[],[f1564]) ).

cnf(s114,plain,
    ~ spl12_78,
    inference(sat_conversion,[],[f2060]) ).

cnf(s116,plain,
    ( ~ spl12_28
    | ~ spl12_59
    | spl12_78 ),
    inference(sat_conversion,[],[f2065]) ).

cnf(s138,plain,
    ( ~ spl12_1
    | spl12_3
    | spl12_4
    | spl12_5
    | spl12_56
    | spl12_59
    | ~ spl12_79 ),
    inference(sat_conversion,[],[f2107]) ).

cnf(s182,plain,
    ~ spl12_56,
    inference(sat_conversion,[],[f2487]) ).

cnf(s183,plain,
    ( ~ spl12_1
    | spl12_3
    | spl12_4
    | spl12_5
    | spl12_59
    | ~ spl12_79 ),
    inference(rat,[],[s138,s182]) ).

cnf(s188,plain,
    spl12_79,
    inference(rat,[],[s83,s114]) ).

cnf(s201,plain,
    ~ spl12_5,
    inference(rat,[],[s4,s7]) ).

cnf(s202,plain,
    ~ spl12_4,
    inference(rat,[],[s3,s7]) ).

cnf(s203,plain,
    ~ spl12_3,
    inference(rat,[],[s2,s7]) ).

cnf(s204,plain,
    spl12_1,
    inference(rat,[],[s1,s7]) ).

cnf(s207,plain,
    spl12_59,
    inference(rat,[],[s183,s188,s203,s201,s202,s204]) ).

cnf(s216,plain,
    spl12_28,
    inference(rat,[],[s96,s203,s95,s201,s202,s204]) ).

cnf(s221,plain,
    $false,
    inference(rat,[],[s116,s114,s207,s216]) ).

fof(f2488,plain,
    $false,
    inference(avatar_sat_refutation,[],[s221]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SWV474+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.06  % Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.20  % Computer : n010.cluster.edu
% 0.09/0.20  % Model    : x86_64 x86_64
% 0.09/0.20  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.20  % Memory   : 8046.5625MB
% 0.09/0.20  % OS       : Linux 6.8.0-71-generic
% 0.09/0.20  % CPULimit : 300
% 0.09/0.20  % WCLimit  : 300
% 0.09/0.20  % DateTime : Mon Sep 28 11:11:33 UTC 2026
% 0.09/0.20  % CPUTime  : 
% 0.09/0.20  Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.23  Running first-order model finding
% 0.09/0.23  Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.90/0.44  % (1854792)Will run a generic schedule for satisfiability detection.
% 0.90/0.44  % (1854798)% WARNING: option uhcvi not known.
% 0.90/0.44  % (1854798)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2851299174:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.90/0.44  % (1854797)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=4285433871_2999 on theBenchmark for (2999ds/0Mi)
% 0.90/0.44  % (1854801)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3045254478:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.90/0.44  % (1854799)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=4077238708:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.90/0.44  % (1854800)dis+10_1_sil=32000:sp=arity:random_seed=419479681:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.90/0.44  % (1854802)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1422227556:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.90/0.44  % (1854803)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3300086043:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.90/0.44  % Detected minimum model sizes of [4]
% 0.90/0.44  % Detected maximum model sizes of [max]
% 0.90/0.44  % TRYING [4]
% 0.90/0.44  % TRYING [5]
% 0.90/0.44  % (1854800)Instruction limit reached! 
% 0.90/0.44  % (1854800)------------------------------
% 0.90/0.44  % (1854800)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.90/0.44  % (1854800)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.90/0.44  % (1854800)CaDiCaL version: 2.1.3
% 0.90/0.44  % (1854800)Termination reason: Instruction limit
% 0.90/0.44  % (1854800)Termination phase: Saturation
% 0.90/0.44  % (1854800)Time elapsed: 0.070 s
% 0.90/0.44  % (1854800)Peak memory usage: 13 MB
% 0.90/0.44  % (1854800)Instructions burned: 104 (million)
% 0.90/0.44  % (1854801)Instruction limit reached! 
% 0.90/0.44  % (1854801)------------------------------
% 0.90/0.44  % (1854801)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.90/0.44  % (1854801)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.90/0.44  % (1854801)CaDiCaL version: 2.1.3
% 0.90/0.44  % (1854801)Termination reason: Instruction limit
% 0.90/0.44  % (1854801)Termination phase: Saturation
% 0.90/0.44  % (1854801)Time elapsed: 0.073 s
% 0.90/0.44  % (1854801)Peak memory usage: 13 MB
% 0.90/0.44  % (1854801)Instructions burned: 117 (million)
% 0.90/0.44  % TRYING [6]
% 0.90/0.44  % (1854802)Instruction limit reached! 
% 0.90/0.44  % (1854802)------------------------------
% 0.90/0.44  % (1854802)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.90/0.44  % (1854802)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.90/0.44  % (1854802)CaDiCaL version: 2.1.3
% 0.90/0.44  % (1854802)Termination reason: Instruction limit
% 0.90/0.44  % (1854802)Termination phase: Saturation
% 0.90/0.44  % (1854802)Time elapsed: 0.080 s
% 0.90/0.44  % (1854802)Peak memory usage: 13 MB
% 0.90/0.44  % (1854802)Instructions burned: 132 (million)
% 0.90/0.44  % (1854811)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=546730759:i=714:nm=2_2998 on theBenchmark for (2998ds/714Mi)
% 0.90/0.44  % (1854812)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=1629470655:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 0.90/0.44  % (1854813)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=1166948656:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 0.90/0.44  % Detected minimum model sizes of [4]
% 0.90/0.44  % Detected maximum model sizes of [max]
% 0.90/0.44  % TRYING [4]
% 0.90/0.44  % (1854803)Instruction limit reached! 
% 0.90/0.44  % (1854803)------------------------------
% 0.90/0.44  % (1854803)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.90/0.44  % (1854803)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.90/0.44  % (1854803)CaDiCaL version: 2.1.3
% 0.90/0.44  % (1854803)Termination reason: Instruction limit
% 0.90/0.44  % (1854803)Termination phase: Saturation
% 0.90/0.44  % (1854803)Time elapsed: 0.103 s
% 0.90/0.44  % (1854803)Peak memory usage: 14 MB
% 0.90/0.44  % (1854803)Instructions burned: 160 (million)
% 0.90/0.44  % (1854817)ott-21_1_sil=16000:fs=off:random_seed=1341220217:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 0.90/0.44  % TRYING [5]
% 0.90/0.44  % TRYING [7]
% 0.90/0.44  % (1854813) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1854792-1854813"...
% 0.90/0.44  % (1854813)...printing done.
% 0.90/0.44  % (1854813)Refutation found. Thanks to Tanya!
% 0.90/0.44  % SZS status Theorem for theBenchmark
% 0.90/0.44  % SZS output start Proof for theBenchmark
% See solution above
% 0.90/0.45  % (1854813)------------------------------
% 0.90/0.45  % (1854813)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.90/0.45  % (1854813)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.90/0.45  % (1854813)CaDiCaL version: 2.1.3
% 0.90/0.45  % (1854813)Termination reason: Refutation
% 0.90/0.45  % (1854813)Time elapsed: 0.068 s
% 0.90/0.45  % (1854813)Peak memory usage: 14 MB
% 0.90/0.45  % (1854813)Instructions burned: 106 (million)
% 0.90/0.45  % (1854792)Success in time 0.207 s
% 0.90/0.45  % Vampire exiting
%------------------------------------------------------------------------------