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LisaST---0.9.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : LisaST---0.9
% Problem  : SWV463+1 : TPTP v9.3.1. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p

% Computer : n016.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 : Sun Sep 27 09:02:28 AM UTC 2026

% Result   : Theorem 36.46s 8.55s
% Output   : CNFRefutation 36.46s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   20
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   44 (  21 unt;   0 def)
%            Number of atoms       :  349 ( 168 equ)
%            Maximal formula atoms :   94 (   7 avg)
%            Number of connectives :  484 ( 179   ~; 126   |; 128   &)
%                                         (   1 <=>;  50  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   33 (   6 avg)
%            Maximal term depth    :    4 (   2 avg)
%            Number of predicates  :    5 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :   27 (  27 usr;  17 con; 0-2 aty)
%            Number of variables   :  147 (   5 sgn 102   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(axiom_14,axiom,
    ! [X0,X1,X2] : 'm$uAck'(X0,X1) != 'm$uLdr'(X2) ).

fof(axiom_18,axiom,
    ! [X0,X1] : 'm$uDown'(X0) != 'm$uLdr'(X1) ).

fof(axiom_47,axiom,
    ! [X0,X1,X2] :
      ( elem(X0,snoc(X2,X1))
    <=> ( elem(X0,X2)
        | X0 = X1 ) ) ).

fof(conj,conjecture,
    ! [X0,X1,X2,X3] :
      ( ( queue(host(X2)) = cons('m$uAck'(X1,X3),X0)
        & ! [X4,X7,X6,X5] :
            ( ( host(X6) = s(index(pendack,host(X5)))
              & host(X7) = index(pendack,host(X5))
              & index(status,host(X5)) = 'elec$u2'
              & leq('nbr$uproc',s(index(pendack,host(X5))))
              & elem('m$uAck'(X5,X7),queue(host(X5)))
              & elem('m$uDown'(X6),queue(host(X5)))
              & setIn(X5,alive) )
           => ~ ( index(status,host(X4)) = norm
                & index(ldr,host(X4)) = host(X4)
                & setIn(X4,alive) ) )
        & ! [X4,X7,X6,X5] :
            ( ( index(status,host(X5)) = 'elec$u1'
              & host(X5) = host(X7)
              & host(X5) = 'nbr$uproc'
              & elem('m$uDown'(X6),queue(host(X5)))
              & ! [X8] :
                  ( ( leq(s(zero),X8)
                    & ~ leq(host(X5),X8) )
                 => ( X8 = host(X6)
                    | setIn(X8,index(down,host(X5))) ) ) )
           => ~ ( elem('m$uDown'(X7),queue(host(X4)))
                & setIn(X4,alive) ) )
        & ! [X4,X6,X5] :
            ( ( index(status,host(X5)) = 'elec$u2'
              & elem('m$uHalt'(X5),queue(host(X6)))
              & setIn(X5,alive)
              & ~ leq(index(pendack,host(X5)),host(X4)) )
           => ~ ( index(status,host(X4)) = norm
                & index(ldr,host(X4)) = host(X4)
                & setIn(X4,alive) ) )
        & ! [X4,X5] :
            ( ( index(status,host(X5)) = 'elec$u2'
              & index(status,host(X4)) = 'elec$u2'
              & setIn(X5,alive)
              & setIn(X4,alive)
              & ~ leq(host(X4),host(X5)) )
           => ~ leq(index(pendack,host(X4)),index(pendack,host(X5))) )
        & ! [X4,X6,X5] :
            ( ( index(status,host(X5)) = 'elec$u2'
              & index(status,host(X4)) = 'elec$u2'
              & host(X5) = host(X6)
              & setIn(X5,alive)
              & setIn(X4,alive) )
           => ~ elem('m$uAck'(X4,X6),queue(host(X4))) )
        & ! [X4,X5] :
            ( ( index(status,host(X5)) = 'elec$u2'
              & index(status,host(X4)) = 'elec$u2'
              & setIn(X5,alive)
              & setIn(X4,alive)
              & ~ leq(host(X4),host(X5)) )
           => leq(index(pendack,host(X5)),host(X4)) )
        & ! [X4,X6,X5] :
            ( ( host(X6) = host(X4)
              & elem('m$uDown'(X6),queue(host(X5)))
              & setIn(X5,alive) )
           => ~ ( index(status,host(X4)) = norm
                & index(ldr,host(X4)) = host(X4)
                & setIn(X4,alive) ) )
        & ! [X4] :
            ( ( setIn(X4,alive)
              & ( index(status,host(X4)) = 'elec$u2'
                | index(status,host(X4)) = 'elec$u1' ) )
           => index(elid,host(X4)) = X4 )
        & ! [X4,X5] :
            ( ( index(status,host(X5)) = 'elec$u1'
              & setIn(X5,alive) )
           => ~ elem('m$uAck'(X5,X4),queue(host(X5))) )
        & ! [X4,X5] :
            ( ( elem('m$uAck'(X5,X4),queue(host(X5)))
              & setIn(X5,alive) )
           => leq(host(X4),index(pendack,host(X5))) )
        & ! [X4,X5] :
            ( ( host(X5) = host(X4)
              & X5 != X4 )
           => ( ~ setIn(X5,alive)
              | ~ setIn(X4,alive) ) )
        & ! [X4,X6,X5] :
            ( elem('m$uAck'(X5,X4),queue(host(X6)))
           => ~ leq(host(X4),host(X5)) )
        & ! [X4,X5] :
            ( elem('m$uHalt'(X5),queue(host(X4)))
           => ~ leq(host(X4),host(X5)) )
        & ! [X4,X5] :
            ( elem('m$uDown'(X5),queue(host(X4)))
           => host(X5) != host(X4) )
        & ! [X4,X5] :
            ( elem('m$uLdr'(X5),queue(host(X4)))
           => ~ leq(host(X4),host(X5)) ) )
     => ( setIn(X2,alive)
       => ( ( host(X3) = index(pendack,host(X2))
            & index(status,host(X2)) = 'elec$u2'
            & index(elid,host(X2)) = X1 )
         => ( leq('nbr$uproc',index(pendack,host(X2)))
           => ! [X4] :
                ( ( host(X4) = host(X3)
                  | setIn(host(X4),index(acks,host(X2))) )
               => ! [X8] :
                    ( host(X2) != host(X8)
                   => ! [X9,X10,X11] :
                        ( host(X4) = host(X11)
                       => ( host(X2) != host(X11)
                         => ( ( host(X10) = s(index(pendack,host(X11)))
                              & host(X9) = index(pendack,host(X11))
                              & index(status,host(X11)) = 'elec$u2'
                              & elem('m$uAck'(X11,X9),snoc(queue(host(X11)),'m$uLdr'(X2)))
                              & elem('m$uDown'(X10),snoc(queue(host(X11)),'m$uLdr'(X2)))
                              & leq('nbr$uproc',s(index(pendack,host(X11))))
                              & setIn(X11,alive) )
                           => ~ ( index(status,host(X8)) = norm
                                & index(ldr,host(X8)) = host(X8)
                                & setIn(X8,alive) ) ) ) ) ) ) ) ) ) ) ).

fof(negated_conjecture,negated_conjecture,
    ~ ! [X0,X1,X2,X3] :
        ( ( queue(host(X2)) = cons('m$uAck'(X1,X3),X0)
          & ! [X4,X7,X6,X5] :
              ( ( host(X6) = s(index(pendack,host(X5)))
                & host(X7) = index(pendack,host(X5))
                & index(status,host(X5)) = 'elec$u2'
                & leq('nbr$uproc',s(index(pendack,host(X5))))
                & elem('m$uAck'(X5,X7),queue(host(X5)))
                & elem('m$uDown'(X6),queue(host(X5)))
                & setIn(X5,alive) )
             => ~ ( index(status,host(X4)) = norm
                  & index(ldr,host(X4)) = host(X4)
                  & setIn(X4,alive) ) )
          & ! [X4,X7,X6,X5] :
              ( ( index(status,host(X5)) = 'elec$u1'
                & host(X5) = host(X7)
                & host(X5) = 'nbr$uproc'
                & elem('m$uDown'(X6),queue(host(X5)))
                & ! [X8] :
                    ( ( leq(s(zero),X8)
                      & ~ leq(host(X5),X8) )
                   => ( X8 = host(X6)
                      | setIn(X8,index(down,host(X5))) ) ) )
             => ~ ( elem('m$uDown'(X7),queue(host(X4)))
                  & setIn(X4,alive) ) )
          & ! [X4,X6,X5] :
              ( ( index(status,host(X5)) = 'elec$u2'
                & elem('m$uHalt'(X5),queue(host(X6)))
                & setIn(X5,alive)
                & ~ leq(index(pendack,host(X5)),host(X4)) )
             => ~ ( index(status,host(X4)) = norm
                  & index(ldr,host(X4)) = host(X4)
                  & setIn(X4,alive) ) )
          & ! [X4,X5] :
              ( ( index(status,host(X5)) = 'elec$u2'
                & index(status,host(X4)) = 'elec$u2'
                & setIn(X5,alive)
                & setIn(X4,alive)
                & ~ leq(host(X4),host(X5)) )
             => ~ leq(index(pendack,host(X4)),index(pendack,host(X5))) )
          & ! [X4,X6,X5] :
              ( ( index(status,host(X5)) = 'elec$u2'
                & index(status,host(X4)) = 'elec$u2'
                & host(X5) = host(X6)
                & setIn(X5,alive)
                & setIn(X4,alive) )
             => ~ elem('m$uAck'(X4,X6),queue(host(X4))) )
          & ! [X4,X5] :
              ( ( index(status,host(X5)) = 'elec$u2'
                & index(status,host(X4)) = 'elec$u2'
                & setIn(X5,alive)
                & setIn(X4,alive)
                & ~ leq(host(X4),host(X5)) )
             => leq(index(pendack,host(X5)),host(X4)) )
          & ! [X4,X6,X5] :
              ( ( host(X6) = host(X4)
                & elem('m$uDown'(X6),queue(host(X5)))
                & setIn(X5,alive) )
             => ~ ( index(status,host(X4)) = norm
                  & index(ldr,host(X4)) = host(X4)
                  & setIn(X4,alive) ) )
          & ! [X4] :
              ( ( setIn(X4,alive)
                & ( index(status,host(X4)) = 'elec$u2'
                  | index(status,host(X4)) = 'elec$u1' ) )
             => index(elid,host(X4)) = X4 )
          & ! [X4,X5] :
              ( ( index(status,host(X5)) = 'elec$u1'
                & setIn(X5,alive) )
             => ~ elem('m$uAck'(X5,X4),queue(host(X5))) )
          & ! [X4,X5] :
              ( ( elem('m$uAck'(X5,X4),queue(host(X5)))
                & setIn(X5,alive) )
             => leq(host(X4),index(pendack,host(X5))) )
          & ! [X4,X5] :
              ( ( host(X5) = host(X4)
                & X5 != X4 )
             => ( ~ setIn(X5,alive)
                | ~ setIn(X4,alive) ) )
          & ! [X4,X6,X5] :
              ( elem('m$uAck'(X5,X4),queue(host(X6)))
             => ~ leq(host(X4),host(X5)) )
          & ! [X4,X5] :
              ( elem('m$uHalt'(X5),queue(host(X4)))
             => ~ leq(host(X4),host(X5)) )
          & ! [X4,X5] :
              ( elem('m$uDown'(X5),queue(host(X4)))
             => host(X5) != host(X4) )
          & ! [X4,X5] :
              ( elem('m$uLdr'(X5),queue(host(X4)))
             => ~ leq(host(X4),host(X5)) ) )
       => ( setIn(X2,alive)
         => ( ( host(X3) = index(pendack,host(X2))
              & index(status,host(X2)) = 'elec$u2'
              & index(elid,host(X2)) = X1 )
           => ( leq('nbr$uproc',index(pendack,host(X2)))
             => ! [X4] :
                  ( ( host(X4) = host(X3)
                    | setIn(host(X4),index(acks,host(X2))) )
                 => ! [X8] :
                      ( host(X2) != host(X8)
                     => ! [X9,X10,X11] :
                          ( host(X4) = host(X11)
                         => ( host(X2) != host(X11)
                           => ( ( host(X10) = s(index(pendack,host(X11)))
                                & host(X9) = index(pendack,host(X11))
                                & index(status,host(X11)) = 'elec$u2'
                                & elem('m$uAck'(X11,X9),snoc(queue(host(X11)),'m$uLdr'(X2)))
                                & elem('m$uDown'(X10),snoc(queue(host(X11)),'m$uLdr'(X2)))
                                & leq('nbr$uproc',s(index(pendack,host(X11))))
                                & setIn(X11,alive) )
                             => ~ ( index(status,host(X8)) = norm
                                  & index(ldr,host(X8)) = host(X8)
                                  & setIn(X8,alive) ) ) ) ) ) ) ) ) ) ),
    inference(negate_conjecture,[status(cth)],[conj]) ).

cnf(c15,plain,
    'm$uAck'(X0,X1) != 'm$uLdr'(X2),
    inference(clausification,[status(esa)],[axiom_14]) ).

cnf(c19,plain,
    'm$uDown'(X0) != 'm$uLdr'(X1),
    inference(clausification,[status(esa)],[axiom_18]) ).

cnf(c55,plain,
    ( elem(X0,X1)
    | X0 = X2
    | ~ elem(X0,snoc(X1,X2)) ),
    inference(clausification,[status(esa)],[axiom_47]) ).

cnf(c118,plain,
    ( index(status,host(X0)) != 'elec$u2'
    | host(X1) != index(pendack,host(X0))
    | ~ setIn(X2,alive)
    | ~ elem('m$uDown'(X3),queue(host(X0)))
    | ~ leq('nbr$uproc',s(index(pendack,host(X0))))
    | host(X3) != s(index(pendack,host(X0)))
    | ~ setIn(X0,alive)
    | index(ldr,host(X2)) != host(X2)
    | index(status,host(X2)) != norm
    | ~ elem('m$uAck'(X0,X1),queue(host(X0))) ),
    inference(clausification,[status(esa)],[negated_conjecture]) ).

cnf(c129,plain,
    setIn(sK170,alive),
    inference(clausification,[status(esa)],[negated_conjecture]) ).

cnf(c130,plain,
    leq('nbr$uproc',s(index(pendack,host(sK170)))),
    inference(clausification,[status(esa)],[negated_conjecture]) ).

cnf(c131,plain,
    elem('m$uDown'(sK169),snoc(queue(host(sK170)),'m$uLdr'(sK126))),
    inference(clausification,[status(esa)],[negated_conjecture]) ).

cnf(c132,plain,
    elem('m$uAck'(sK170,sK168),snoc(queue(host(sK170)),'m$uLdr'(sK126))),
    inference(clausification,[status(esa)],[negated_conjecture]) ).

cnf(c133,plain,
    index(status,host(sK170)) = 'elec$u2',
    inference(clausification,[status(esa)],[negated_conjecture]) ).

cnf(c134,plain,
    host(sK168) = index(pendack,host(sK170)),
    inference(clausification,[status(esa)],[negated_conjecture]) ).

cnf(c135,plain,
    host(sK169) = s(index(pendack,host(sK170))),
    inference(clausification,[status(esa)],[negated_conjecture]) ).

cnf(c136,plain,
    setIn(sK167,alive),
    inference(clausification,[status(esa)],[negated_conjecture]) ).

cnf(c137,plain,
    index(ldr,host(sK167)) = host(sK167),
    inference(clausification,[status(esa)],[negated_conjecture]) ).

cnf(c138,plain,
    index(status,host(sK167)) = norm,
    inference(clausification,[status(esa)],[negated_conjecture]) ).

cnf(d0,plain,
    ( elem('m$uAck'(sK170,sK168),queue(host(sK170)))
    | 'm$uAck'(sK170,sK168) = 'm$uLdr'(sK126) ),
    inference(resolution,[status(thm)],[c55,c132]) ).

cnf(d1,plain,
    elem('m$uAck'(sK170,sK168),queue(host(sK170))),
    inference(resolution,[status(thm)],[c15,d0]) ).

cnf(d2,plain,
    host(sK169) = s(host(sK168)),
    inference(demodulation,[status(thm)],[c135,c134]) ).

cnf(d3,plain,
    ( ~ leq('nbr$uproc',s(index(pendack,host(sK170))))
    | ~ setIn(sK170,alive)
    | ~ setIn(X2,alive)
    | ~ elem('m$uDown'(X0),queue(host(sK170)))
    | ~ elem('m$uAck'(sK170,X1),queue(host(sK170)))
    | index(ldr,host(X2)) != host(X2)
    | index(status,host(sK170)) != 'elec$u2'
    | index(status,host(X2)) != norm
    | host(X1) != index(pendack,host(sK170))
    | host(X0) != s(host(sK168)) ),
    inference(superposition,[status(thm)],[c134,c118]) ).

cnf(d4,plain,
    ( ~ leq('nbr$uproc',s(index(pendack,host(sK170))))
    | ~ setIn(sK170,alive)
    | ~ setIn(X2,alive)
    | ~ elem('m$uDown'(X1),queue(host(sK170)))
    | ~ elem('m$uAck'(sK170,X0),queue(host(sK170)))
    | index(ldr,host(X2)) != host(X2)
    | index(status,host(sK170)) != 'elec$u2'
    | index(status,host(X2)) != norm
    | host(X1) != s(host(sK168))
    | host(X0) != host(sK168) ),
    inference(demodulation,[status(thm)],[d3,c134]) ).

cnf(d5,plain,
    ( ~ leq('nbr$uproc',s(index(pendack,host(sK170))))
    | ~ setIn(sK170,alive)
    | ~ setIn(X2,alive)
    | ~ elem('m$uDown'(X1),queue(host(sK170)))
    | ~ elem('m$uAck'(sK170,X0),queue(host(sK170)))
    | index(ldr,host(X2)) != host(X2)
    | index(status,host(sK170)) != 'elec$u2'
    | index(status,host(X2)) != norm
    | host(X1) != host(sK169)
    | host(X0) != host(sK168) ),
    inference(demodulation,[status(thm)],[d4,d2]) ).

cnf(d6,plain,
    ( ~ leq('nbr$uproc',s(index(pendack,host(sK170))))
    | ~ setIn(sK170,alive)
    | ~ setIn(X2,alive)
    | ~ elem('m$uDown'(X1),queue(host(sK170)))
    | ~ elem('m$uAck'(sK170,X0),queue(host(sK170)))
    | index(ldr,host(X2)) != host(X2)
    | 'elec$u2' != 'elec$u2'
    | index(status,host(X2)) != norm
    | host(X1) != host(sK169)
    | host(X0) != host(sK168) ),
    inference(demodulation,[status(thm)],[d5,c133]) ).

cnf(d7,plain,
    ( ~ leq('nbr$uproc',s(host(sK168)))
    | ~ setIn(sK170,alive)
    | ~ setIn(X2,alive)
    | ~ elem('m$uDown'(X1),queue(host(sK170)))
    | ~ elem('m$uAck'(sK170,X0),queue(host(sK170)))
    | index(ldr,host(X2)) != host(X2)
    | 'elec$u2' != 'elec$u2'
    | index(status,host(X2)) != norm
    | host(X1) != host(sK169)
    | host(X0) != host(sK168) ),
    inference(demodulation,[status(thm)],[d6,c134]) ).

cnf(d8,plain,
    ( ~ leq('nbr$uproc',host(sK169))
    | ~ setIn(sK170,alive)
    | ~ setIn(X2,alive)
    | ~ elem('m$uDown'(X1),queue(host(sK170)))
    | ~ elem('m$uAck'(sK170,X0),queue(host(sK170)))
    | index(ldr,host(X2)) != host(X2)
    | 'elec$u2' != 'elec$u2'
    | index(status,host(X2)) != norm
    | host(X1) != host(sK169)
    | host(X0) != host(sK168) ),
    inference(demodulation,[status(thm)],[d7,d2]) ).

cnf(d9,plain,
    ( ~ leq('nbr$uproc',host(sK169))
    | ~ setIn(X2,alive)
    | ~ elem('m$uDown'(X1),queue(host(sK170)))
    | ~ elem('m$uAck'(sK170,X0),queue(host(sK170)))
    | index(ldr,host(X2)) != host(X2)
    | 'elec$u2' != 'elec$u2'
    | index(status,host(X2)) != norm
    | host(X1) != host(sK169)
    | host(X0) != host(sK168) ),
    inference(resolution,[status(thm)],[c129,d8]) ).

cnf(d10,plain,
    leq('nbr$uproc',s(host(sK168))),
    inference(demodulation,[status(thm)],[c130,c134]) ).

cnf(d11,plain,
    leq('nbr$uproc',host(sK169)),
    inference(demodulation,[status(thm)],[d10,d2]) ).

cnf(d12,plain,
    ( ~ setIn(X2,alive)
    | ~ elem('m$uDown'(X0),queue(host(sK170)))
    | ~ elem('m$uAck'(sK170,X1),queue(host(sK170)))
    | index(ldr,host(X2)) != host(X2)
    | index(status,host(X2)) != norm
    | 'elec$u2' != 'elec$u2'
    | host(X1) != host(sK168)
    | host(X0) != host(sK169) ),
    inference(resolution,[status(thm)],[d11,d9]) ).

cnf(d13,plain,
    ( ~ setIn(sK167,alive)
    | ~ elem('m$uDown'(X1),queue(host(sK170)))
    | ~ elem('m$uAck'(sK170,X0),queue(host(sK170)))
    | index(status,host(sK167)) != norm
    | 'elec$u2' != 'elec$u2'
    | host(X1) != host(sK169)
    | host(X0) != host(sK168)
    | host(sK167) != host(sK167) ),
    inference(superposition,[status(thm)],[c137,d12]) ).

cnf(d14,plain,
    ( ~ setIn(sK167,alive)
    | ~ elem('m$uDown'(X0),queue(host(sK170)))
    | ~ elem('m$uAck'(sK170,X1),queue(host(sK170)))
    | norm != norm
    | 'elec$u2' != 'elec$u2'
    | host(sK167) != host(sK167)
    | host(X1) != host(sK168)
    | host(X0) != host(sK169) ),
    inference(demodulation,[status(thm)],[d13,c138]) ).

cnf(d15,plain,
    ( ~ elem('m$uDown'(X0),queue(host(sK170)))
    | ~ elem('m$uAck'(sK170,X1),queue(host(sK170)))
    | norm != norm
    | 'elec$u2' != 'elec$u2'
    | host(sK167) != host(sK167)
    | host(X1) != host(sK168)
    | host(X0) != host(sK169) ),
    inference(resolution,[status(thm)],[c136,d14]) ).

cnf(d16,plain,
    ( ~ elem('m$uDown'(X1),queue(host(sK170)))
    | ~ elem('m$uAck'(sK170,X0),queue(host(sK170)))
    | norm != norm
    | 'elec$u2' != 'elec$u2'
    | host(X1) != host(sK169)
    | host(X0) != host(sK168) ),
    inference(equality_resolution,[status(thm)],[d15]) ).

cnf(d17,plain,
    ( ~ elem('m$uDown'(X0),queue(host(sK170)))
    | ~ elem('m$uAck'(sK170,sK168),queue(host(sK170)))
    | norm != norm
    | 'elec$u2' != 'elec$u2'
    | host(X0) != host(sK169) ),
    inference(equality_resolution,[status(thm)],[d16]) ).

cnf(d18,plain,
    ( ~ elem('m$uDown'(sK169),queue(host(sK170)))
    | ~ elem('m$uAck'(sK170,sK168),queue(host(sK170)))
    | norm != norm
    | 'elec$u2' != 'elec$u2' ),
    inference(equality_resolution,[status(thm)],[d17]) ).

cnf(d19,plain,
    ( ~ elem('m$uDown'(sK169),queue(host(sK170)))
    | ~ elem('m$uAck'(sK170,sK168),queue(host(sK170)))
    | 'elec$u2' != 'elec$u2' ),
    inference(equality_resolution,[status(thm)],[d18]) ).

cnf(d20,plain,
    ( ~ elem('m$uDown'(sK169),queue(host(sK170)))
    | ~ elem('m$uAck'(sK170,sK168),queue(host(sK170))) ),
    inference(equality_resolution,[status(thm)],[d19]) ).

cnf(d21,plain,
    ( elem('m$uDown'(sK169),queue(host(sK170)))
    | 'm$uDown'(sK169) = 'm$uLdr'(sK126) ),
    inference(resolution,[status(thm)],[c55,c131]) ).

cnf(d22,plain,
    elem('m$uDown'(sK169),queue(host(sK170))),
    inference(resolution,[status(thm)],[c19,d21]) ).

cnf(d23,plain,
    ~ elem('m$uAck'(sK170,sK168),queue(host(sK170))),
    inference(resolution,[status(thm)],[d22,d20]) ).

cnf(d24,plain,
    $false,
    inference(resolution,[status(thm)],[d23,d1]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04  % Problem  : SWV463+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.06  % Command  : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.15/0.43  % Computer : n016.cluster.edu
% 0.15/0.43  % Model    : x86_64 x86_64
% 0.15/0.43  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.43  % Memory   : 8046.5625MB
% 0.15/0.43  % OS       : Linux 6.8.0-71-generic
% 0.15/0.43  % CPULimit : 300
% 0.15/0.43  % WCLimit  : 300
% 0.15/0.43  % DateTime : Sat Sep 26 14:00:01 UTC 2026
% 0.15/0.44  % CPUTime  : 
% 0.15/0.44  Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 36.46/8.55  % SZS status Theorem for theBenchmark.p
% 36.46/8.55  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------