↑ Up

LisaST---0.9.THM-CRf.s

View TPTP
Problem
Process solution in
SystemOnTSTP
Download .tgz
%------------------------------------------------------------------------------
% File     : LisaST---0.9
% Problem  : SWV465+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 : n008.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Sun Sep 27 09:02:28 AM UTC 2026

% Result   : Theorem 30.82s 9.76s
% Output   : CNFRefutation 30.82s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   22
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   52 (  24 unt;   0 def)
%            Number of atoms       :  351 ( 164 equ)
%            Maximal formula atoms :   88 (   6 avg)
%            Number of connectives :  482 ( 183   ~; 129   |; 124   &)
%                                         (   2 <=>;  44  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   32 (   5 avg)
%            Maximal term depth    :    4 (   2 avg)
%            Number of predicates  :    5 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :   30 (  30 usr;  18 con; 0-2 aty)
%            Number of variables   :  150 (   6 sgn 101   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(axiom_13,axiom,
    ! [X0,X1,X2] : 'm$uAck'(X0,X1) != 'm$uNotNorm'(X2) ).

fof(axiom_19,axiom,
    ! [X0,X1] : 'm$uDown'(X0) != 'm$uNotNorm'(X1) ).

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

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

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

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

cnf(c14,plain,
    'm$uAck'(X0,X1) != 'm$uNotNorm'(X2),
    inference(clausification,[status(esa)],[axiom_13]) ).

cnf(c20,plain,
    'm$uDown'(X0) != 'm$uNotNorm'(X1),
    inference(clausification,[status(esa)],[axiom_19]) ).

cnf(c54,plain,
    ( ~ elem(X0,X2)
    | elem(X0,cons(X1,X2)) ),
    inference(clausification,[status(esa)],[axiom_46]) ).

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

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

cnf(c119,plain,
    queue(host(sK126)) = cons('m$uNormQ'(sK125),sK124),
    inference(clausification,[status(esa)],[negated_conjecture]) ).

cnf(c123,plain,
    host(sK126) = host(sK168),
    inference(clausification,[status(esa)],[negated_conjecture]) ).

cnf(c124,plain,
    setIn(sK168,alive),
    inference(clausification,[status(esa)],[negated_conjecture]) ).

cnf(c125,plain,
    elem('m$uDown'(sK167),snoc(sK124,'m$uNotNorm'(sK125))),
    inference(clausification,[status(esa)],[negated_conjecture]) ).

cnf(c126,plain,
    elem('m$uAck'(sK168,sK166),snoc(sK124,'m$uNotNorm'(sK125))),
    inference(clausification,[status(esa)],[negated_conjecture]) ).

cnf(c127,plain,
    leq('nbr$uproc',s(index(pendack,host(sK168)))),
    inference(clausification,[status(esa)],[negated_conjecture]) ).

cnf(c128,plain,
    index(status,host(sK168)) = 'elec$u2',
    inference(clausification,[status(esa)],[negated_conjecture]) ).

cnf(c129,plain,
    host(sK166) = index(pendack,host(sK168)),
    inference(clausification,[status(esa)],[negated_conjecture]) ).

cnf(c130,plain,
    host(sK167) = s(index(pendack,host(sK168))),
    inference(clausification,[status(esa)],[negated_conjecture]) ).

cnf(c131,plain,
    setIn(sK165,alive),
    inference(clausification,[status(esa)],[negated_conjecture]) ).

cnf(c132,plain,
    index(ldr,host(sK165)) = host(sK165),
    inference(clausification,[status(esa)],[negated_conjecture]) ).

cnf(c133,plain,
    index(status,host(sK165)) = norm,
    inference(clausification,[status(esa)],[negated_conjecture]) ).

cnf(d0,plain,
    ( elem('m$uAck'(sK168,sK166),sK124)
    | 'm$uAck'(sK168,sK166) = 'm$uNotNorm'(sK125) ),
    inference(resolution,[status(thm)],[c55,c126]) ).

cnf(d1,plain,
    elem('m$uAck'(sK168,sK166),sK124),
    inference(resolution,[status(thm)],[c14,d0]) ).

cnf(d2,plain,
    queue(host(sK168)) = cons('m$uNormQ'(sK125),sK124),
    inference(demodulation,[status(thm)],[c119,c123]) ).

cnf(d3,plain,
    ( ~ elem(X0,sK124)
    | elem(X0,queue(host(sK168))) ),
    inference(superposition,[status(thm)],[d2,c54]) ).

cnf(d4,plain,
    host(sK167) = s(host(sK166)),
    inference(demodulation,[status(thm)],[c130,c129]) ).

cnf(d5,plain,
    ( ~ leq('nbr$uproc',s(index(pendack,host(sK168))))
    | ~ setIn(X2,alive)
    | ~ setIn(sK168,alive)
    | ~ elem('m$uDown'(X0),queue(host(sK168)))
    | ~ elem('m$uAck'(sK168,X1),queue(host(sK168)))
    | index(ldr,host(X2)) != host(X2)
    | index(status,host(X2)) != norm
    | index(status,host(sK168)) != 'elec$u2'
    | host(X1) != index(pendack,host(sK168))
    | host(X0) != s(host(sK166)) ),
    inference(superposition,[status(thm)],[c129,c118]) ).

cnf(d6,plain,
    ( ~ leq('nbr$uproc',s(index(pendack,host(sK168))))
    | ~ setIn(sK168,alive)
    | ~ setIn(X2,alive)
    | ~ elem('m$uDown'(X1),queue(host(sK168)))
    | ~ elem('m$uAck'(sK168,X0),queue(host(sK168)))
    | index(ldr,host(X2)) != host(X2)
    | index(status,host(sK168)) != 'elec$u2'
    | index(status,host(X2)) != norm
    | host(X1) != s(host(sK166))
    | host(X0) != host(sK166) ),
    inference(demodulation,[status(thm)],[d5,c129]) ).

cnf(d7,plain,
    ( ~ leq('nbr$uproc',s(index(pendack,host(sK168))))
    | ~ setIn(sK168,alive)
    | ~ setIn(X2,alive)
    | ~ elem('m$uDown'(X1),queue(host(sK168)))
    | ~ elem('m$uAck'(sK168,X0),queue(host(sK168)))
    | index(ldr,host(X2)) != host(X2)
    | index(status,host(sK168)) != 'elec$u2'
    | index(status,host(X2)) != norm
    | host(X1) != host(sK167)
    | host(X0) != host(sK166) ),
    inference(demodulation,[status(thm)],[d6,d4]) ).

cnf(d8,plain,
    ( ~ leq('nbr$uproc',s(index(pendack,host(sK168))))
    | ~ setIn(sK168,alive)
    | ~ setIn(X2,alive)
    | ~ elem('m$uDown'(X1),queue(host(sK168)))
    | ~ elem('m$uAck'(sK168,X0),queue(host(sK168)))
    | index(ldr,host(X2)) != host(X2)
    | 'elec$u2' != 'elec$u2'
    | index(status,host(X2)) != norm
    | host(X1) != host(sK167)
    | host(X0) != host(sK166) ),
    inference(demodulation,[status(thm)],[d7,c128]) ).

cnf(d9,plain,
    ( ~ leq('nbr$uproc',s(host(sK166)))
    | ~ setIn(sK168,alive)
    | ~ setIn(X2,alive)
    | ~ elem('m$uDown'(X1),queue(host(sK168)))
    | ~ elem('m$uAck'(sK168,X0),queue(host(sK168)))
    | index(ldr,host(X2)) != host(X2)
    | 'elec$u2' != 'elec$u2'
    | index(status,host(X2)) != norm
    | host(X1) != host(sK167)
    | host(X0) != host(sK166) ),
    inference(demodulation,[status(thm)],[d8,c129]) ).

cnf(d10,plain,
    ( ~ leq('nbr$uproc',host(sK167))
    | ~ setIn(sK168,alive)
    | ~ setIn(X2,alive)
    | ~ elem('m$uDown'(X1),queue(host(sK168)))
    | ~ elem('m$uAck'(sK168,X0),queue(host(sK168)))
    | index(ldr,host(X2)) != host(X2)
    | 'elec$u2' != 'elec$u2'
    | index(status,host(X2)) != norm
    | host(X1) != host(sK167)
    | host(X0) != host(sK166) ),
    inference(demodulation,[status(thm)],[d9,d4]) ).

cnf(d11,plain,
    ( ~ leq('nbr$uproc',host(sK167))
    | ~ setIn(X2,alive)
    | ~ elem('m$uDown'(X1),queue(host(sK168)))
    | ~ elem('m$uAck'(sK168,X0),queue(host(sK168)))
    | index(ldr,host(X2)) != host(X2)
    | 'elec$u2' != 'elec$u2'
    | index(status,host(X2)) != norm
    | host(X1) != host(sK167)
    | host(X0) != host(sK166) ),
    inference(resolution,[status(thm)],[c124,d10]) ).

cnf(d12,plain,
    leq('nbr$uproc',s(host(sK166))),
    inference(demodulation,[status(thm)],[c127,c129]) ).

cnf(d13,plain,
    leq('nbr$uproc',host(sK167)),
    inference(demodulation,[status(thm)],[d12,d4]) ).

cnf(d14,plain,
    ( ~ setIn(X2,alive)
    | ~ elem('m$uDown'(X0),queue(host(sK168)))
    | ~ elem('m$uAck'(sK168,X1),queue(host(sK168)))
    | index(ldr,host(X2)) != host(X2)
    | index(status,host(X2)) != norm
    | 'elec$u2' != 'elec$u2'
    | host(X1) != host(sK166)
    | host(X0) != host(sK167) ),
    inference(resolution,[status(thm)],[d13,d11]) ).

cnf(d15,plain,
    ( ~ setIn(sK165,alive)
    | ~ elem('m$uDown'(X1),queue(host(sK168)))
    | ~ elem('m$uAck'(sK168,X0),queue(host(sK168)))
    | index(status,host(sK165)) != norm
    | 'elec$u2' != 'elec$u2'
    | host(X1) != host(sK167)
    | host(X0) != host(sK166)
    | host(sK165) != host(sK165) ),
    inference(superposition,[status(thm)],[c132,d14]) ).

cnf(d16,plain,
    ( ~ setIn(sK165,alive)
    | ~ elem('m$uDown'(X0),queue(host(sK168)))
    | ~ elem('m$uAck'(sK168,X1),queue(host(sK168)))
    | norm != norm
    | 'elec$u2' != 'elec$u2'
    | host(sK165) != host(sK165)
    | host(X1) != host(sK166)
    | host(X0) != host(sK167) ),
    inference(demodulation,[status(thm)],[d15,c133]) ).

cnf(d17,plain,
    ( ~ elem('m$uDown'(X0),queue(host(sK168)))
    | ~ elem('m$uAck'(sK168,X1),queue(host(sK168)))
    | norm != norm
    | 'elec$u2' != 'elec$u2'
    | host(sK165) != host(sK165)
    | host(X1) != host(sK166)
    | host(X0) != host(sK167) ),
    inference(resolution,[status(thm)],[c131,d16]) ).

cnf(d18,plain,
    ( ~ elem('m$uDown'(X1),queue(host(sK168)))
    | ~ elem('m$uAck'(sK168,X0),queue(host(sK168)))
    | norm != norm
    | 'elec$u2' != 'elec$u2'
    | host(X1) != host(sK167)
    | host(X0) != host(sK166) ),
    inference(equality_resolution,[status(thm)],[d17]) ).

cnf(d19,plain,
    ( ~ elem('m$uDown'(X0),queue(host(sK168)))
    | ~ elem('m$uAck'(sK168,sK166),queue(host(sK168)))
    | norm != norm
    | 'elec$u2' != 'elec$u2'
    | host(X0) != host(sK167) ),
    inference(equality_resolution,[status(thm)],[d18]) ).

cnf(d20,plain,
    ( ~ elem('m$uDown'(sK167),queue(host(sK168)))
    | ~ elem('m$uAck'(sK168,sK166),queue(host(sK168)))
    | norm != norm
    | 'elec$u2' != 'elec$u2' ),
    inference(equality_resolution,[status(thm)],[d19]) ).

cnf(d21,plain,
    ( ~ elem('m$uDown'(sK167),queue(host(sK168)))
    | ~ elem('m$uAck'(sK168,sK166),queue(host(sK168)))
    | 'elec$u2' != 'elec$u2' ),
    inference(equality_resolution,[status(thm)],[d20]) ).

cnf(d22,plain,
    ( ~ elem('m$uDown'(sK167),queue(host(sK168)))
    | ~ elem('m$uAck'(sK168,sK166),queue(host(sK168))) ),
    inference(equality_resolution,[status(thm)],[d21]) ).

cnf(d23,plain,
    ( ~ elem('m$uDown'(sK167),queue(host(sK168)))
    | ~ elem('m$uAck'(sK168,sK166),sK124) ),
    inference(resolution,[status(thm)],[d3,d22]) ).

cnf(d24,plain,
    ( ~ elem('m$uDown'(sK167),sK124)
    | ~ elem('m$uAck'(sK168,sK166),sK124) ),
    inference(resolution,[status(thm)],[d23,d3]) ).

cnf(d25,plain,
    ( elem('m$uDown'(sK167),sK124)
    | 'm$uDown'(sK167) = 'm$uNotNorm'(sK125) ),
    inference(resolution,[status(thm)],[c55,c125]) ).

cnf(d26,plain,
    elem('m$uDown'(sK167),sK124),
    inference(resolution,[status(thm)],[c20,d25]) ).

cnf(d27,plain,
    ~ elem('m$uAck'(sK168,sK166),sK124),
    inference(resolution,[status(thm)],[d26,d24]) ).

cnf(d28,plain,
    $false,
    inference(resolution,[status(thm)],[d27,d1]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SWV465+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04  % Command  : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/5.38  % Computer : n008.cluster.edu
% 0.10/5.38  % Model    : x86_64 x86_64
% 0.10/5.38  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/5.38  % Memory   : 8046.5625MB
% 0.10/5.38  % OS       : Linux 6.8.0-71-generic
% 0.10/5.38  % CPULimit : 300
% 0.10/5.38  % WCLimit  : 300
% 0.10/5.38  % DateTime : Sat Sep 26 13:55:46 UTC 2026
% 0.10/5.39  % CPUTime  : 
% 0.10/5.39  Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 30.82/9.76  % SZS status Theorem for theBenchmark.p
% 30.82/9.76  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------