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LisaST---0.9.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : LisaST---0.9
% Problem  : SWV448+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 : n012.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 09:02:26 AM UTC 2026

% Result   : Theorem 16.97s 2.72s
% Output   : CNFRefutation 16.97s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   25
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   66 (  17 unt;   0 def)
%            Number of atoms       :  376 ( 178 equ)
%            Maximal formula atoms :   65 (   5 avg)
%            Number of connectives :  497 ( 187   ~; 189   |;  81   &)
%                                         (   2 <=>;  38  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   23 (   5 avg)
%            Maximal term depth    :    4 (   2 avg)
%            Number of predicates  :    5 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :   26 (  26 usr;  17 con; 0-2 aty)
%            Number of variables   :  114 (   5 sgn  56   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(axiom_04,axiom,
    ! [X0] : leq(host(X0),'nbr$uproc') ).

fof(axiom_46,axiom,
    ! [X0,X1,X2] :
      ( elem(X0,cons(X1,X2))
    <=> ( elem(X0,X2)
        | X0 = X1 ) ) ).

fof(axiom_61,axiom,
    ! [X0,X1] :
      ( ( leq(X1,X0)
        & leq(X0,X1) )
    <=> X0 = X1 ) ).

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

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

cnf(c5,plain,
    leq(host(X0),'nbr$uproc'),
    inference(clausification,[status(esa)],[axiom_04]) ).

cnf(c53,plain,
    ( X0 != X1
    | elem(X0,cons(X1,X2)) ),
    inference(clausification,[status(esa)],[axiom_46]) ).

cnf(c90,plain,
    ( X0 = X1
    | ~ leq(X1,X0)
    | ~ leq(X0,X1) ),
    inference(clausification,[status(esa)],[axiom_61]) ).

cnf(c107,plain,
    ( leq(host(X1),host(X2))
    | ~ leq(host(X1),sK144(X0,X1))
    | index(ldr,host(X2)) != host(X2)
    | ~ setIn(X2,alive)
    | index(status,host(X1)) != 'elec$u1'
    | index(status,host(X2)) != norm
    | ~ elem('m$uDown'(X0),queue(host(X1))) ),
    inference(clausification,[status(esa)],[negated_conjecture]) ).

cnf(c108,plain,
    ( leq(host(X1),host(X2))
    | index(ldr,host(X2)) != host(X2)
    | ~ setIn(X2,alive)
    | leq(s(zero),sK144(X0,X1))
    | index(status,host(X1)) != 'elec$u1'
    | index(status,host(X2)) != norm
    | ~ elem('m$uDown'(X0),queue(host(X1))) ),
    inference(clausification,[status(esa)],[negated_conjecture]) ).

cnf(c109,plain,
    ( ~ setIn(sK144(X0,X1),index(down,host(X1)))
    | leq(host(X1),host(X2))
    | index(ldr,host(X2)) != host(X2)
    | ~ setIn(X2,alive)
    | index(status,host(X1)) != 'elec$u1'
    | index(status,host(X2)) != norm
    | ~ elem('m$uDown'(X0),queue(host(X1))) ),
    inference(clausification,[status(esa)],[negated_conjecture]) ).

cnf(c110,plain,
    ( leq(host(X1),host(X2))
    | index(ldr,host(X2)) != host(X2)
    | ~ setIn(X2,alive)
    | index(status,host(X1)) != 'elec$u1'
    | index(status,host(X2)) != norm
    | ~ elem('m$uDown'(X0),queue(host(X1)))
    | sK144(X0,X1) != host(X0) ),
    inference(clausification,[status(esa)],[negated_conjecture]) ).

cnf(c111,plain,
    queue(host(sK126)) = cons('m$uDown'(sK127),sK124),
    inference(clausification,[status(esa)],[negated_conjecture]) ).

cnf(c116,plain,
    ( X0 = host(sK127)
    | setIn(X0,index(down,host(sK126)))
    | ~ leq(s(zero),X0)
    | leq(host(sK126),X0) ),
    inference(clausification,[status(esa)],[negated_conjecture]) ).

cnf(c117,plain,
    index(status,host(sK126)) = 'elec$u1',
    inference(clausification,[status(esa)],[negated_conjecture]) ).

cnf(c118,plain,
    leq('nbr$uproc',host(sK126)),
    inference(clausification,[status(esa)],[negated_conjecture]) ).

cnf(c121,plain,
    host(sK126) != host(sK148),
    inference(clausification,[status(esa)],[negated_conjecture]) ).

cnf(c123,plain,
    setIn(sK148,alive),
    inference(clausification,[status(esa)],[negated_conjecture]) ).

cnf(c125,plain,
    index(ldr,host(sK148)) = host(sK148),
    inference(clausification,[status(esa)],[negated_conjecture]) ).

cnf(c126,plain,
    index(status,host(sK148)) = norm,
    inference(clausification,[status(esa)],[negated_conjecture]) ).

cnf(d0,plain,
    ( ~ leq(host(sK126),'nbr$uproc')
    | 'nbr$uproc' = host(sK126) ),
    inference(resolution,[status(thm)],[c90,c118]) ).

cnf(d1,plain,
    'nbr$uproc' = host(sK126),
    inference(resolution,[status(thm)],[c5,d0]) ).

cnf(d2,plain,
    ( leq(host(X0),host(sK148))
    | ~ setIn(sK148,alive)
    | ~ elem('m$uDown'(X1),queue(host(X0)))
    | sK144(X1,X0) != host(X1)
    | index(status,host(X0)) != 'elec$u1'
    | index(status,host(sK148)) != norm
    | host(sK148) != host(sK148) ),
    inference(superposition,[status(thm)],[c125,c110]) ).

cnf(d3,plain,
    ( leq(host(X0),host(sK148))
    | ~ setIn(sK148,alive)
    | ~ elem('m$uDown'(X1),queue(host(X0)))
    | sK144(X1,X0) != host(X1)
    | norm != norm
    | index(status,host(X0)) != 'elec$u1'
    | host(sK148) != host(sK148) ),
    inference(demodulation,[status(thm)],[d2,c126]) ).

cnf(d4,plain,
    ( leq(host(X0),host(sK148))
    | ~ elem('m$uDown'(X1),queue(host(X0)))
    | sK144(X1,X0) != host(X1)
    | norm != norm
    | index(status,host(X0)) != 'elec$u1'
    | host(sK148) != host(sK148) ),
    inference(resolution,[status(thm)],[c123,d3]) ).

cnf(d5,plain,
    ( ~ leq(host(X0),sK144(X1,X0))
    | leq(host(X0),host(sK148))
    | ~ setIn(sK148,alive)
    | ~ elem('m$uDown'(X1),queue(host(X0)))
    | index(status,host(X0)) != 'elec$u1'
    | index(status,host(sK148)) != norm
    | host(sK148) != host(sK148) ),
    inference(superposition,[status(thm)],[c125,c107]) ).

cnf(d6,plain,
    ( ~ leq(host(X0),sK144(X1,X0))
    | leq(host(X0),host(sK148))
    | ~ setIn(sK148,alive)
    | ~ elem('m$uDown'(X1),queue(host(X0)))
    | norm != norm
    | index(status,host(X0)) != 'elec$u1'
    | host(sK148) != host(sK148) ),
    inference(demodulation,[status(thm)],[d5,c126]) ).

cnf(d7,plain,
    ( ~ leq(host(X0),sK144(X1,X0))
    | leq(host(X0),host(sK148))
    | ~ elem('m$uDown'(X1),queue(host(X0)))
    | norm != norm
    | index(status,host(X0)) != 'elec$u1'
    | host(sK148) != host(sK148) ),
    inference(resolution,[status(thm)],[c123,d6]) ).

cnf(d8,plain,
    ( ~ leq(host(sK126),sK144(X0,sK126))
    | leq(host(sK126),host(sK148))
    | ~ elem('m$uDown'(X0),queue(host(sK126)))
    | norm != norm
    | host(sK148) != host(sK148)
    | 'elec$u1' != 'elec$u1' ),
    inference(superposition,[status(thm)],[c117,d7]) ).

cnf(d9,plain,
    ( ~ leq(host(sK126),sK144(X0,sK126))
    | leq(host(sK126),host(sK148))
    | ~ elem('m$uDown'(X0),queue(host(sK126)))
    | norm != norm
    | 'elec$u1' != 'elec$u1' ),
    inference(equality_resolution,[status(thm)],[d8]) ).

cnf(d10,plain,
    ( ~ leq(host(sK126),sK144(X0,sK126))
    | leq(host(sK126),host(sK148))
    | ~ elem('m$uDown'(X0),queue(host(sK126)))
    | 'elec$u1' != 'elec$u1' ),
    inference(equality_resolution,[status(thm)],[d9]) ).

cnf(d11,plain,
    ( ~ leq(host(sK126),sK144(X0,sK126))
    | leq(host(sK126),host(sK148))
    | ~ elem('m$uDown'(X0),queue(host(sK126))) ),
    inference(equality_resolution,[status(thm)],[d10]) ).

cnf(d12,plain,
    ( leq(host(X0),host(sK148))
    | ~ setIn(sK144(X1,X0),index(down,host(X0)))
    | ~ setIn(sK148,alive)
    | ~ elem('m$uDown'(X1),queue(host(X0)))
    | index(status,host(X0)) != 'elec$u1'
    | index(status,host(sK148)) != norm
    | host(sK148) != host(sK148) ),
    inference(superposition,[status(thm)],[c125,c109]) ).

cnf(d13,plain,
    ( leq(host(X0),host(sK148))
    | ~ setIn(sK148,alive)
    | ~ setIn(sK144(X1,X0),index(down,host(X0)))
    | ~ elem('m$uDown'(X1),queue(host(X0)))
    | norm != norm
    | index(status,host(X0)) != 'elec$u1'
    | host(sK148) != host(sK148) ),
    inference(demodulation,[status(thm)],[d12,c126]) ).

cnf(d14,plain,
    ( leq(host(X0),host(sK148))
    | ~ setIn(sK144(X1,X0),index(down,host(X0)))
    | ~ elem('m$uDown'(X1),queue(host(X0)))
    | norm != norm
    | index(status,host(X0)) != 'elec$u1'
    | host(sK148) != host(sK148) ),
    inference(resolution,[status(thm)],[c123,d13]) ).

cnf(d15,plain,
    ( leq(host(sK126),host(sK148))
    | ~ setIn(sK144(X0,sK126),index(down,host(sK126)))
    | ~ elem('m$uDown'(X0),queue(host(sK126)))
    | norm != norm
    | host(sK148) != host(sK148)
    | 'elec$u1' != 'elec$u1' ),
    inference(superposition,[status(thm)],[c117,d14]) ).

cnf(d16,plain,
    ( leq(host(sK126),host(sK148))
    | ~ setIn(sK144(X0,sK126),index(down,host(sK126)))
    | ~ elem('m$uDown'(X0),queue(host(sK126)))
    | norm != norm
    | 'elec$u1' != 'elec$u1' ),
    inference(equality_resolution,[status(thm)],[d15]) ).

cnf(d17,plain,
    ( leq(host(sK126),host(sK148))
    | ~ setIn(sK144(X0,sK126),index(down,host(sK126)))
    | ~ elem('m$uDown'(X0),queue(host(sK126)))
    | 'elec$u1' != 'elec$u1' ),
    inference(equality_resolution,[status(thm)],[d16]) ).

cnf(d18,plain,
    ( leq(host(sK126),host(sK148))
    | ~ setIn(sK144(X0,sK126),index(down,host(sK126)))
    | ~ elem('m$uDown'(X0),queue(host(sK126))) ),
    inference(equality_resolution,[status(thm)],[d17]) ).

cnf(d19,plain,
    ( ~ leq(s(zero),sK144(X0,sK126))
    | leq(host(sK126),sK144(X0,sK126))
    | sK144(X0,sK126) = host(sK127)
    | leq(host(sK126),host(sK148))
    | ~ elem('m$uDown'(X0),queue(host(sK126))) ),
    inference(resolution,[status(thm)],[d18,c116]) ).

cnf(d20,plain,
    ( leq(s(zero),sK144(X1,X0))
    | leq(host(X0),host(sK148))
    | ~ setIn(sK148,alive)
    | ~ elem('m$uDown'(X1),queue(host(X0)))
    | index(status,host(X0)) != 'elec$u1'
    | index(status,host(sK148)) != norm
    | host(sK148) != host(sK148) ),
    inference(superposition,[status(thm)],[c125,c108]) ).

cnf(d21,plain,
    ( leq(s(zero),sK144(X1,X0))
    | leq(host(X0),host(sK148))
    | ~ setIn(sK148,alive)
    | ~ elem('m$uDown'(X1),queue(host(X0)))
    | norm != norm
    | index(status,host(X0)) != 'elec$u1'
    | host(sK148) != host(sK148) ),
    inference(demodulation,[status(thm)],[d20,c126]) ).

cnf(d22,plain,
    ( leq(s(zero),sK144(X1,X0))
    | leq(host(X0),host(sK148))
    | ~ elem('m$uDown'(X1),queue(host(X0)))
    | norm != norm
    | index(status,host(X0)) != 'elec$u1'
    | host(sK148) != host(sK148) ),
    inference(resolution,[status(thm)],[c123,d21]) ).

cnf(d23,plain,
    ( leq(s(zero),sK144(X0,sK126))
    | leq(host(sK126),host(sK148))
    | ~ elem('m$uDown'(X0),queue(host(sK126)))
    | norm != norm
    | host(sK148) != host(sK148)
    | 'elec$u1' != 'elec$u1' ),
    inference(superposition,[status(thm)],[c117,d22]) ).

cnf(d24,plain,
    ( leq(s(zero),sK144(X0,sK126))
    | leq(host(sK126),host(sK148))
    | ~ elem('m$uDown'(X0),queue(host(sK126)))
    | norm != norm
    | 'elec$u1' != 'elec$u1' ),
    inference(equality_resolution,[status(thm)],[d23]) ).

cnf(d25,plain,
    ( leq(s(zero),sK144(X0,sK126))
    | leq(host(sK126),host(sK148))
    | ~ elem('m$uDown'(X0),queue(host(sK126)))
    | 'elec$u1' != 'elec$u1' ),
    inference(equality_resolution,[status(thm)],[d24]) ).

cnf(d26,plain,
    ( leq(s(zero),sK144(X0,sK126))
    | leq(host(sK126),host(sK148))
    | ~ elem('m$uDown'(X0),queue(host(sK126))) ),
    inference(equality_resolution,[status(thm)],[d25]) ).

cnf(d27,plain,
    elem(X0,cons(X0,X1)),
    inference(equality_resolution,[status(thm)],[c53]) ).

cnf(d28,plain,
    elem('m$uDown'(sK127),queue(host(sK126))),
    inference(superposition,[status(thm)],[c111,d27]) ).

cnf(d29,plain,
    ( leq(s(zero),sK144(sK127,sK126))
    | leq(host(sK126),host(sK148)) ),
    inference(resolution,[status(thm)],[d28,d26]) ).

cnf(d30,plain,
    ( leq(host(sK126),sK144(sK127,sK126))
    | leq(host(sK126),host(sK148))
    | ~ elem('m$uDown'(sK127),queue(host(sK126)))
    | sK144(sK127,sK126) = host(sK127)
    | leq(host(sK126),host(sK148)) ),
    inference(resolution,[status(thm)],[d29,d19]) ).

cnf(d31,plain,
    ( leq(host(sK126),sK144(sK127,sK126))
    | leq(host(sK126),host(sK148))
    | sK144(sK127,sK126) = host(sK127) ),
    inference(resolution,[status(thm)],[d28,d30]) ).

cnf(d32,plain,
    ( leq(host(sK126),host(sK148))
    | ~ elem('m$uDown'(sK127),queue(host(sK126)))
    | leq(host(sK126),host(sK148))
    | sK144(sK127,sK126) = host(sK127) ),
    inference(resolution,[status(thm)],[d31,d11]) ).

cnf(d33,plain,
    ( leq(host(sK126),host(sK148))
    | sK144(sK127,sK126) = host(sK127) ),
    inference(resolution,[status(thm)],[d28,d32]) ).

cnf(d34,plain,
    ( leq(host(sK126),host(sK148))
    | leq(host(sK126),host(sK148))
    | ~ elem('m$uDown'(sK127),queue(host(sK126)))
    | index(status,host(sK126)) != 'elec$u1'
    | norm != norm
    | host(sK148) != host(sK148)
    | host(sK127) != host(sK127) ),
    inference(superposition,[status(thm)],[d33,d4]) ).

cnf(d35,plain,
    ( leq(host(sK126),host(sK148))
    | ~ elem('m$uDown'(sK127),queue(host(sK126)))
    | 'elec$u1' != 'elec$u1'
    | norm != norm
    | host(sK148) != host(sK148)
    | host(sK127) != host(sK127) ),
    inference(demodulation,[status(thm)],[d34,c117]) ).

cnf(d36,plain,
    ( leq(host(sK126),host(sK148))
    | 'elec$u1' != 'elec$u1'
    | norm != norm
    | host(sK148) != host(sK148)
    | host(sK127) != host(sK127) ),
    inference(resolution,[status(thm)],[d28,d35]) ).

cnf(d37,plain,
    ( leq(host(sK126),host(sK148))
    | norm != norm
    | 'elec$u1' != 'elec$u1'
    | host(sK127) != host(sK127) ),
    inference(equality_resolution,[status(thm)],[d36]) ).

cnf(d38,plain,
    ( leq(host(sK126),host(sK148))
    | norm != norm
    | 'elec$u1' != 'elec$u1' ),
    inference(equality_resolution,[status(thm)],[d37]) ).

cnf(d39,plain,
    ( leq(host(sK126),host(sK148))
    | 'elec$u1' != 'elec$u1' ),
    inference(equality_resolution,[status(thm)],[d38]) ).

cnf(d40,plain,
    leq(host(sK126),host(sK148)),
    inference(equality_resolution,[status(thm)],[d39]) ).

cnf(d41,plain,
    leq('nbr$uproc',host(sK148)),
    inference(demodulation,[status(thm)],[d40,d1]) ).

cnf(d42,plain,
    ( ~ leq(host(sK148),'nbr$uproc')
    | 'nbr$uproc' = host(sK148) ),
    inference(resolution,[status(thm)],[d41,c90]) ).

cnf(d43,plain,
    'nbr$uproc' = host(sK148),
    inference(resolution,[status(thm)],[c5,d42]) ).

cnf(d44,plain,
    'nbr$uproc' != host(sK148),
    inference(demodulation,[status(thm)],[c121,d1]) ).

cnf(d45,plain,
    $false,
    inference(resolution,[status(thm)],[d44,d43]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01  % Problem  : SWV448+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.02  % Command  : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.03/0.29  % Computer : n012.cluster.edu
% 0.03/0.29  % Model    : x86_64 x86_64
% 0.03/0.29  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.03/0.29  % Memory   : 8046.5625MB
% 0.03/0.29  % OS       : Linux 6.8.0-71-generic
% 0.03/0.29  % CPULimit : 300
% 0.03/0.29  % WCLimit  : 300
% 0.03/0.29  % DateTime : Sat Sep 26 13:53:49 UTC 2026
% 0.03/0.29  % CPUTime  : 
% 0.03/0.29  Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 16.97/2.72  % SZS status Theorem for theBenchmark.p
% 16.97/2.72  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------