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LisaST---0.9.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : LisaST---0.9
% Problem  : SWV461+1 : TPTP v9.3.1. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p

% Computer : n009.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 09:02:27 AM UTC 2026

% Result   : Theorem 33.80s 4.76s
% Output   : CNFRefutation 33.80s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   25
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   56 (  26 unt;   0 def)
%            Number of atoms       :  377 ( 181 equ)
%            Maximal formula atoms :   97 (   6 avg)
%            Number of connectives :  514 ( 193   ~; 136   |; 129   &)
%                                         (   1 <=>;  55  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   31 (   5 avg)
%            Maximal term depth    :    4 (   2 avg)
%            Number of predicates  :    5 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :   28 (  28 usr;  19 con; 0-2 aty)
%            Number of variables   :  143 (   6 sgn 102   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(axiom,axiom,
    ! [X0,X1] :
      ( elem('m$uAck'(X0,X1),queue(host(X0)))
     => ( setIn(X1,pids)
        & setIn(X0,pids) ) ) ).

fof(axiom_11,axiom,
    ! [X0,X1,X2] : 'm$uAck'(X0,X1) != 'm$uHalt'(X2) ).

fof(axiom_17,axiom,
    ! [X0,X1] : 'm$uDown'(X0) != 'm$uHalt'(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,X4,X5] :
            ( ( host(X4) = s(index(pendack,host(X5)))
              & host(X3) = index(pendack,host(X5))
              & index(status,host(X5)) = 'elec$u2'
              & leq('nbr$uproc',s(index(pendack,host(X5))))
              & elem('m$uAck'(X5,X3),queue(host(X5)))
              & elem('m$uDown'(X4),queue(host(X5)))
              & setIn(X5,alive) )
           => ~ ( index(status,host(X2)) = norm
                & index(ldr,host(X2)) = host(X2)
                & setIn(X2,alive) ) )
        & ! [X2,X3,X4,X5] :
            ( ( index(status,host(X5)) = 'elec$u1'
              & host(X5) = 'nbr$uproc'
              & host(X5) = host(X3)
              & elem('m$uDown'(X4),queue(host(X5)))
              & ! [X6] :
                  ( ( leq(s(zero),X6)
                    & ~ leq(host(X5),X6) )
                 => ( X6 = host(X4)
                    | setIn(X6,index(down,host(X5))) ) ) )
           => ~ ( elem('m$uDown'(X3),queue(host(X2)))
                & setIn(X2,alive) ) )
        & ! [X2,X3,X4] :
            ( ( index(status,host(X4)) = 'elec$u2'
              & elem('m$uHalt'(X4),queue(host(X3)))
              & setIn(X4,alive)
              & ~ leq(index(pendack,host(X4)),host(X2)) )
           => ~ ( index(status,host(X2)) = norm
                & index(ldr,host(X2)) = host(X2)
                & setIn(X2,alive) ) )
        & ! [X2,X3] :
            ( ( index(status,host(X3)) = 'elec$u2'
              & index(status,host(X2)) = 'elec$u2'
              & setIn(X3,alive)
              & setIn(X2,alive)
              & ~ leq(host(X2),host(X3)) )
           => ~ leq(index(pendack,host(X2)),index(pendack,host(X3))) )
        & ! [X2,X3] :
            ( ( index(status,host(X3)) = 'elec$u2'
              & index(status,host(X2)) = 'elec$u2'
              & setIn(X3,alive)
              & setIn(X2,alive)
              & ~ leq(host(X2),host(X3)) )
           => leq(index(pendack,host(X3)),host(X2)) )
        & ! [X2,X3,X4] :
            ( ( index(status,host(X4)) = 'elec$u2'
              & index(status,host(X2)) = 'elec$u2'
              & host(X4) = host(X3)
              & setIn(X4,alive)
              & setIn(X2,alive) )
           => ~ elem('m$uAck'(X2,X3),queue(host(X2))) )
        & ! [X2,X3,X4] :
            ( ( host(X3) = host(X2)
              & elem('m$uDown'(X3),queue(host(X4)))
              & setIn(X4,alive) )
           => ~ ( index(status,host(X2)) = norm
                & index(ldr,host(X2)) = host(X2)
                & setIn(X2,alive) ) )
        & ! [X2] :
            ( ( setIn(X2,alive)
              & ( index(status,host(X2)) = 'elec$u2'
                | index(status,host(X2)) = 'elec$u1' ) )
           => index(elid,host(X2)) = X2 )
        & ! [X2,X3] :
            ( ( index(status,host(X3)) = 'elec$u1'
              & setIn(X3,alive) )
           => ~ elem('m$uAck'(X3,X2),queue(host(X3))) )
        & ! [X2,X3] :
            ( ( elem('m$uAck'(X3,X2),queue(host(X3)))
              & setIn(X3,alive) )
           => leq(host(X2),index(pendack,host(X3))) )
        & ! [X2,X3] :
            ( ( host(X3) = host(X2)
              & X3 != X2 )
           => ( ~ setIn(X3,alive)
              | ~ setIn(X2,alive) ) )
        & ! [X2,X3,X4] :
            ( elem('m$uAck'(X4,X2),queue(host(X3)))
           => ~ leq(host(X2),host(X4)) )
        & ! [X2,X3] :
            ( elem('m$uHalt'(X3),queue(host(X2)))
           => ~ leq(host(X2),host(X3)) )
        & ! [X2,X3] :
            ( elem('m$uDown'(X3),queue(host(X2)))
           => host(X3) != host(X2) )
        & ! [X2,X3] :
            ( elem('m$uLdr'(X3),queue(host(X2)))
           => ~ leq(host(X2),host(X3)) )
        & ! [X2] :
            ( host(X1) = host(X2)
           => ~ setIn(X2,alive) ) )
     => ( queue(host(X1)) = 'q$unil'
       => ( ( host(X1) = host(X0)
            & ~ setIn(X0,pids)
            & ! [X2] :
                ( host(X1) = host(X2)
               => leq(X2,X0) ) )
         => ( host(X0) = s(zero)
           => ( ~ leq('nbr$uproc',host(X0))
             => ! [X2] :
                  ( host(X0) != host(X2)
                 => ! [X3,X4,X7] :
                      ( s(host(X0)) = host(X7)
                     => ( host(X0) != host(X7)
                       => ( ( host(X4) = s(index(pendack,host(X7)))
                            & host(X3) = index(pendack,host(X7))
                            & index(status,host(X7)) = 'elec$u2'
                            & elem('m$uAck'(X7,X3),snoc(queue(host(X7)),'m$uHalt'(X0)))
                            & elem('m$uDown'(X4),snoc(queue(host(X7)),'m$uHalt'(X0)))
                            & leq('nbr$uproc',s(index(pendack,host(X7))))
                            & ( X7 = X0
                              | setIn(X7,alive) ) )
                         => ~ ( index(status,host(X2)) = norm
                              & index(ldr,host(X2)) = host(X2)
                              & ( X2 = X0
                                | setIn(X2,alive) ) ) ) ) ) ) ) ) ) ) ) ).

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

cnf(c0,plain,
    ( setIn(X0,pids)
    | ~ elem('m$uAck'(X0,X1),queue(host(X0))) ),
    inference(clausification,[status(esa)],[axiom]) ).

cnf(c12,plain,
    'm$uHalt'(X0) != 'm$uAck'(X1,X2),
    inference(clausification,[status(esa)],[axiom_11]) ).

cnf(c18,plain,
    'm$uHalt'(X0) != 'm$uDown'(X1),
    inference(clausification,[status(esa)],[axiom_17]) ).

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

cnf(c105,plain,
    ( ~ elem('m$uAck'(X0,X3),queue(host(X0)))
    | index(status,host(X2)) != norm
    | index(status,host(X0)) != 'elec$u2'
    | index(pendack,host(X0)) != host(X3)
    | ~ leq('nbr$uproc',s(index(pendack,host(X0))))
    | ~ setIn(X0,alive)
    | ~ setIn(X2,alive)
    | ~ elem('m$uDown'(X1),queue(host(X0)))
    | host(X2) != index(ldr,host(X2))
    | s(index(pendack,host(X0))) != host(X1) ),
    inference(clausification,[status(esa)],[negated_conjecture]) ).

cnf(c118,plain,
    ~ setIn(sK124,pids),
    inference(clausification,[status(esa)],[negated_conjecture]) ).

cnf(c119,plain,
    host(sK124) = host(sK125),
    inference(clausification,[status(esa)],[negated_conjecture]) ).

cnf(c122,plain,
    host(sK166) != host(sK124),
    inference(clausification,[status(esa)],[negated_conjecture]) ).

cnf(c124,plain,
    leq('nbr$uproc',s(index(pendack,host(sK169)))),
    inference(clausification,[status(esa)],[negated_conjecture]) ).

cnf(c125,plain,
    elem('m$uAck'(sK169,sK167),snoc(queue(host(sK169)),'m$uHalt'(sK124))),
    inference(clausification,[status(esa)],[negated_conjecture]) ).

cnf(c126,plain,
    index(pendack,host(sK169)) = host(sK167),
    inference(clausification,[status(esa)],[negated_conjecture]) ).

cnf(c127,plain,
    s(index(pendack,host(sK169))) = host(sK168),
    inference(clausification,[status(esa)],[negated_conjecture]) ).

cnf(c128,plain,
    index(status,host(sK169)) = 'elec$u2',
    inference(clausification,[status(esa)],[negated_conjecture]) ).

cnf(c129,plain,
    elem('m$uDown'(sK168),snoc(queue(host(sK169)),'m$uHalt'(sK124))),
    inference(clausification,[status(esa)],[negated_conjecture]) ).

cnf(c130,plain,
    ( sK124 = sK169
    | setIn(sK169,alive) ),
    inference(clausification,[status(esa)],[negated_conjecture]) ).

cnf(c131,plain,
    host(sK166) = index(ldr,host(sK166)),
    inference(clausification,[status(esa)],[negated_conjecture]) ).

cnf(c132,plain,
    index(status,host(sK166)) = norm,
    inference(clausification,[status(esa)],[negated_conjecture]) ).

cnf(c133,plain,
    ( sK124 = sK166
    | setIn(sK166,alive) ),
    inference(clausification,[status(esa)],[negated_conjecture]) ).

cnf(d0,plain,
    ( elem('m$uAck'(sK169,sK167),queue(host(sK169)))
    | 'm$uHalt'(sK124) = 'm$uAck'(sK169,sK167) ),
    inference(resolution,[status(thm)],[c55,c125]) ).

cnf(d1,plain,
    elem('m$uAck'(sK169,sK167),queue(host(sK169))),
    inference(resolution,[status(thm)],[c12,d0]) ).

cnf(d2,plain,
    setIn(sK169,pids),
    inference(resolution,[status(thm)],[d1,c0]) ).

cnf(d3,plain,
    s(host(sK167)) = host(sK168),
    inference(demodulation,[status(thm)],[c127,c126]) ).

cnf(d4,plain,
    ( ~ leq('nbr$uproc',s(index(pendack,host(sK169))))
    | ~ setIn(sK169,alive)
    | ~ setIn(X1,alive)
    | ~ elem('m$uDown'(X0),queue(host(sK169)))
    | ~ elem('m$uAck'(sK169,X2),queue(host(sK169)))
    | index(pendack,host(sK169)) != host(X2)
    | index(status,host(sK169)) != 'elec$u2'
    | index(status,host(X1)) != norm
    | host(X1) != index(ldr,host(X1))
    | s(host(sK167)) != host(X0) ),
    inference(superposition,[status(thm)],[c126,c105]) ).

cnf(d5,plain,
    ( ~ leq('nbr$uproc',s(index(pendack,host(sK169))))
    | ~ setIn(sK169,alive)
    | ~ setIn(X0,alive)
    | ~ elem('m$uDown'(X1),queue(host(sK169)))
    | ~ elem('m$uAck'(sK169,X2),queue(host(sK169)))
    | index(pendack,host(sK169)) != host(X2)
    | index(status,host(sK169)) != 'elec$u2'
    | index(status,host(X0)) != norm
    | host(sK168) != host(X1)
    | host(X0) != index(ldr,host(X0)) ),
    inference(demodulation,[status(thm)],[d4,d3]) ).

cnf(d6,plain,
    ( ~ leq('nbr$uproc',s(index(pendack,host(sK169))))
    | ~ setIn(sK169,alive)
    | ~ setIn(X0,alive)
    | ~ elem('m$uDown'(X1),queue(host(sK169)))
    | ~ elem('m$uAck'(sK169,X2),queue(host(sK169)))
    | index(pendack,host(sK169)) != host(X2)
    | 'elec$u2' != 'elec$u2'
    | index(status,host(X0)) != norm
    | host(sK168) != host(X1)
    | host(X0) != index(ldr,host(X0)) ),
    inference(demodulation,[status(thm)],[d5,c128]) ).

cnf(d7,plain,
    ( ~ leq('nbr$uproc',s(index(pendack,host(sK169))))
    | ~ setIn(sK169,alive)
    | ~ setIn(X0,alive)
    | ~ elem('m$uDown'(X1),queue(host(sK169)))
    | ~ elem('m$uAck'(sK169,X2),queue(host(sK169)))
    | host(sK167) != host(X2)
    | 'elec$u2' != 'elec$u2'
    | index(status,host(X0)) != norm
    | host(sK168) != host(X1)
    | host(X0) != index(ldr,host(X0)) ),
    inference(demodulation,[status(thm)],[d6,c126]) ).

cnf(d8,plain,
    ( ~ leq('nbr$uproc',s(host(sK167)))
    | ~ setIn(sK169,alive)
    | ~ setIn(X0,alive)
    | ~ elem('m$uDown'(X1),queue(host(sK169)))
    | ~ elem('m$uAck'(sK169,X2),queue(host(sK169)))
    | host(sK167) != host(X2)
    | 'elec$u2' != 'elec$u2'
    | index(status,host(X0)) != norm
    | host(sK168) != host(X1)
    | host(X0) != index(ldr,host(X0)) ),
    inference(demodulation,[status(thm)],[d7,c126]) ).

cnf(d9,plain,
    ( ~ leq('nbr$uproc',host(sK168))
    | ~ setIn(sK169,alive)
    | ~ setIn(X0,alive)
    | ~ elem('m$uDown'(X1),queue(host(sK169)))
    | ~ elem('m$uAck'(sK169,X2),queue(host(sK169)))
    | host(sK167) != host(X2)
    | 'elec$u2' != 'elec$u2'
    | index(status,host(X0)) != norm
    | host(sK168) != host(X1)
    | host(X0) != index(ldr,host(X0)) ),
    inference(demodulation,[status(thm)],[d8,d3]) ).

cnf(d10,plain,
    leq('nbr$uproc',s(host(sK167))),
    inference(demodulation,[status(thm)],[c124,c126]) ).

cnf(d11,plain,
    leq('nbr$uproc',host(sK168)),
    inference(demodulation,[status(thm)],[d10,d3]) ).

cnf(d12,plain,
    ( ~ setIn(sK169,alive)
    | ~ setIn(X0,alive)
    | ~ elem('m$uDown'(X1),queue(host(sK169)))
    | ~ elem('m$uAck'(sK169,X2),queue(host(sK169)))
    | host(sK167) != host(X2)
    | 'elec$u2' != 'elec$u2'
    | index(status,host(X0)) != norm
    | host(sK168) != host(X1)
    | host(X0) != index(ldr,host(X0)) ),
    inference(resolution,[status(thm)],[d11,d9]) ).

cnf(d13,plain,
    ( ~ setIn(sK169,alive)
    | ~ setIn(sK166,alive)
    | ~ elem('m$uDown'(X1),queue(host(sK169)))
    | ~ elem('m$uAck'(sK169,X0),queue(host(sK169)))
    | index(status,host(sK166)) != norm
    | 'elec$u2' != 'elec$u2'
    | host(sK168) != host(X1)
    | host(sK167) != host(X0)
    | host(sK166) != host(sK166) ),
    inference(superposition,[status(thm)],[c131,d12]) ).

cnf(d14,plain,
    ( ~ setIn(sK169,alive)
    | ~ setIn(sK166,alive)
    | ~ elem('m$uDown'(X1),queue(host(sK169)))
    | ~ elem('m$uAck'(sK169,X0),queue(host(sK169)))
    | norm != norm
    | 'elec$u2' != 'elec$u2'
    | host(sK168) != host(X1)
    | host(sK167) != host(X0)
    | host(sK166) != host(sK166) ),
    inference(demodulation,[status(thm)],[d13,c132]) ).

cnf(d15,plain,
    ( ~ setIn(sK169,alive)
    | ~ setIn(sK166,alive)
    | ~ elem('m$uDown'(sK168),queue(host(sK169)))
    | ~ elem('m$uAck'(sK169,X0),queue(host(sK169)))
    | norm != norm
    | 'elec$u2' != 'elec$u2'
    | host(sK167) != host(X0)
    | host(sK166) != host(sK166) ),
    inference(equality_resolution,[status(thm)],[d14]) ).

cnf(d16,plain,
    ( elem('m$uDown'(sK168),queue(host(sK169)))
    | 'm$uHalt'(sK124) = 'm$uDown'(sK168) ),
    inference(resolution,[status(thm)],[c55,c129]) ).

cnf(d17,plain,
    elem('m$uDown'(sK168),queue(host(sK169))),
    inference(resolution,[status(thm)],[c18,d16]) ).

cnf(d18,plain,
    ( ~ setIn(sK169,alive)
    | ~ setIn(sK166,alive)
    | ~ elem('m$uAck'(sK169,X0),queue(host(sK169)))
    | norm != norm
    | 'elec$u2' != 'elec$u2'
    | host(sK167) != host(X0)
    | host(sK166) != host(sK166) ),
    inference(resolution,[status(thm)],[d17,d15]) ).

cnf(d19,plain,
    ( ~ setIn(sK169,alive)
    | ~ setIn(sK166,alive)
    | ~ elem('m$uAck'(sK169,sK167),queue(host(sK169)))
    | norm != norm
    | 'elec$u2' != 'elec$u2'
    | host(sK166) != host(sK166) ),
    inference(equality_resolution,[status(thm)],[d18]) ).

cnf(d20,plain,
    ( ~ setIn(sK169,alive)
    | ~ setIn(sK166,alive)
    | norm != norm
    | 'elec$u2' != 'elec$u2'
    | host(sK166) != host(sK166) ),
    inference(resolution,[status(thm)],[d1,d19]) ).

cnf(d21,plain,
    ( ~ setIn(sK169,alive)
    | ~ setIn(sK166,alive)
    | norm != norm
    | 'elec$u2' != 'elec$u2' ),
    inference(equality_resolution,[status(thm)],[d20]) ).

cnf(d22,plain,
    ( ~ setIn(sK169,alive)
    | ~ setIn(sK166,alive)
    | 'elec$u2' != 'elec$u2' ),
    inference(equality_resolution,[status(thm)],[d21]) ).

cnf(d23,plain,
    ( ~ setIn(sK169,alive)
    | ~ setIn(sK166,alive) ),
    inference(equality_resolution,[status(thm)],[d22]) ).

cnf(d24,plain,
    ( sK124 = sK169
    | ~ setIn(sK166,alive) ),
    inference(resolution,[status(thm)],[d23,c130]) ).

cnf(d25,plain,
    ( sK124 = sK166
    | sK124 = sK169 ),
    inference(resolution,[status(thm)],[d24,c133]) ).

cnf(d26,plain,
    ( sK124 = sK166
    | setIn(sK124,pids) ),
    inference(superposition,[status(thm)],[d25,d2]) ).

cnf(d27,plain,
    sK124 = sK166,
    inference(resolution,[status(thm)],[c118,d26]) ).

cnf(d28,plain,
    host(sK166) != host(sK125),
    inference(demodulation,[status(thm)],[c122,c119]) ).

cnf(d29,plain,
    host(sK124) != host(sK125),
    inference(demodulation,[status(thm)],[d28,d27]) ).

cnf(d30,plain,
    host(sK125) != host(sK125),
    inference(demodulation,[status(thm)],[d29,c119]) ).

cnf(d31,plain,
    $false,
    inference(equality_resolution,[status(thm)],[d30]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SWV461+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04  % Command  : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.36  % Computer : n009.cluster.edu
% 0.10/0.36  % Model    : x86_64 x86_64
% 0.10/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36  % Memory   : 8046.5625MB
% 0.10/0.36  % OS       : Linux 6.8.0-71-generic
% 0.10/0.36  % CPULimit : 300
% 0.10/0.36  % WCLimit  : 300
% 0.10/0.36  % DateTime : Sat Sep 26 13:55:29 UTC 2026
% 0.10/0.36  % CPUTime  : 
% 0.10/0.36  Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 33.80/4.76  % SZS status Theorem for theBenchmark.p
% 33.80/4.76  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------