↑ Up

Beagle---0.9.52.THM-CRf.s

View TPTP
Problem
Process solution in
SystemOnTSTP
Download .tgz
%------------------------------------------------------------------------------
% File     : Beagle---0.9.52
% Problem  : NUM587+3 : TPTP v9.0.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s

% Computer : n008.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Wed Apr  9 07:56:30 PM UTC 2025

% Result   : Theorem 91.18s 68.37s
% Output   : CNFRefutation 91.28s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   22 (  12 unt;   0 typ;   0 def)
%            Number of atoms       :  128 (  24 equ)
%            Maximal formula atoms :   47 (   5 avg)
%            Number of connectives :  120 (  14   ~;  16   |;  62   &)
%                                         (   7 <=>;  21  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   23 (   4 avg)
%            Maximal term depth    :    5 (   2 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of predicates  :   11 (   9 usr;   1 prp; 0-2 aty)
%            Number of functors    :   70 (  70 usr;  15 con; 0-4 aty)
%            Number of variables   :   31 (  29   !;   2   ?;   0   :)

% Comments : 
%------------------------------------------------------------------------------
%$ sdtlseqdt0 > iLess0 > aSubsetOf0 > aElementOf0 > isFinite0 > isCountable0 > aSet0 > aFunction0 > aElement0 > slbdtsldtrb0 > sdtpldt0 > sdtmndt0 > sdtlpdtrp0 > sdtlcdtrc0 > sdtlbdtrb0 > sdtexdt0 > #nlpp > szszuzczcdt0 > szmzizndt0 > szmzazxdt0 > szDzozmdt0 > szDzizrdt0 > slbdtrb0 > sbrdtbr0 > xx > xk > xi > xc > xT > xS > xQ > xN > xK > xC > szNzAzT0 > sz00 > slcrc0 > #skF_7 > #skF_11 > #skF_41 > #skF_17 > #skF_31 > #skF_33 > #skF_6 > #skF_1 > #skF_18 > #skF_37 > #skF_43 > #skF_38 > #skF_4 > #skF_29 > #skF_12 > #skF_30 > #skF_32 > #skF_23 > #skF_35 > #skF_5 > #skF_19 > #skF_10 > #skF_8 > #skF_20 > #skF_28 > #skF_26 > #skF_24 > #skF_34 > #skF_15 > #skF_13 > #skF_14 > #skF_42 > #skF_25 > #skF_3 > #skF_2 > #skF_40 > #skF_27 > #skF_36 > #skF_21 > #skF_9 > #skF_22 > #skF_16 > #skF_39

%Foreground sorts:

%Background operators:

%Foreground operators:
tff(xk,type,
    xk: $i ).

tff('#skF_7',type,
    '#skF_7': $i > $i ).

tff('#skF_11',type,
    '#skF_11': ( $i * $i ) > $i ).

tff('#skF_41',type,
    '#skF_41': ( $i * $i ) > $i ).

tff(sbrdtbr0,type,
    sbrdtbr0: $i > $i ).

tff('#skF_17',type,
    '#skF_17': ( $i * $i * $i ) > $i ).

tff('#skF_31',type,
    '#skF_31': ( $i * $i * $i ) > $i ).

tff('#skF_33',type,
    '#skF_33': ( $i * $i * $i ) > $i ).

tff(aSet0,type,
    aSet0: $i > $o ).

tff(szszuzczcdt0,type,
    szszuzczcdt0: $i > $i ).

tff(sdtlbdtrb0,type,
    sdtlbdtrb0: ( $i * $i ) > $i ).

tff(szDzozmdt0,type,
    szDzozmdt0: $i > $i ).

tff('#skF_6',type,
    '#skF_6': ( $i * $i * $i ) > $i ).

tff(sdtmndt0,type,
    sdtmndt0: ( $i * $i ) > $i ).

tff('#skF_1',type,
    '#skF_1': $i > $i ).

tff('#skF_18',type,
    '#skF_18': ( $i * $i * $i ) > $i ).

tff(aElement0,type,
    aElement0: $i > $o ).

tff(sdtexdt0,type,
    sdtexdt0: ( $i * $i ) > $i ).

tff('#skF_37',type,
    '#skF_37': $i > $i ).

tff(xi,type,
    xi: $i ).

tff(szNzAzT0,type,
    szNzAzT0: $i ).

tff(sdtlseqdt0,type,
    sdtlseqdt0: ( $i * $i ) > $o ).

tff(xS,type,
    xS: $i ).

tff(sz00,type,
    sz00: $i ).

tff('#skF_43',type,
    '#skF_43': $i ).

tff(sdtlpdtrp0,type,
    sdtlpdtrp0: ( $i * $i ) > $i ).

tff('#skF_38',type,
    '#skF_38': ( $i * $i ) > $i ).

tff('#skF_4',type,
    '#skF_4': ( $i * $i * $i ) > $i ).

tff(xc,type,
    xc: $i ).

tff('#skF_29',type,
    '#skF_29': ( $i * $i * $i ) > $i ).

tff('#skF_12',type,
    '#skF_12': ( $i * $i ) > $i ).

tff(sdtpldt0,type,
    sdtpldt0: ( $i * $i ) > $i ).

tff('#skF_30',type,
    '#skF_30': ( $i * $i * $i ) > $i ).

tff(slbdtsldtrb0,type,
    slbdtsldtrb0: ( $i * $i ) > $i ).

tff('#skF_32',type,
    '#skF_32': ( $i * $i * $i * $i ) > $i ).

tff(xx,type,
    xx: $i ).

tff('#skF_23',type,
    '#skF_23': ( $i * $i * $i ) > $i ).

tff('#skF_35',type,
    '#skF_35': ( $i * $i * $i ) > $i ).

tff(aSubsetOf0,type,
    aSubsetOf0: ( $i * $i ) > $o ).

tff('#skF_5',type,
    '#skF_5': ( $i * $i * $i ) > $i ).

tff('#skF_19',type,
    '#skF_19': ( $i * $i * $i ) > $i ).

tff(isCountable0,type,
    isCountable0: $i > $o ).

tff('#skF_10',type,
    '#skF_10': ( $i * $i ) > $i ).

tff('#skF_8',type,
    '#skF_8': ( $i * $i ) > $i ).

tff(xT,type,
    xT: $i ).

tff(xN,type,
    xN: $i ).

tff(aElementOf0,type,
    aElementOf0: ( $i * $i ) > $o ).

tff(xC,type,
    xC: $i ).

tff('#skF_20',type,
    '#skF_20': ( $i * $i * $i ) > $i ).

tff(szDzizrdt0,type,
    szDzizrdt0: $i > $i ).

tff('#skF_28',type,
    '#skF_28': ( $i * $i ) > $i ).

tff('#skF_26',type,
    '#skF_26': $i > $i ).

tff('#skF_24',type,
    '#skF_24': ( $i * $i ) > $i ).

tff('#skF_34',type,
    '#skF_34': ( $i * $i * $i ) > $i ).

tff('#skF_15',type,
    '#skF_15': ( $i * $i * $i ) > $i ).

tff('#skF_13',type,
    '#skF_13': $i > $i ).

tff('#skF_14',type,
    '#skF_14': ( $i * $i * $i ) > $i ).

tff('#skF_42',type,
    '#skF_42': $i ).

tff(slcrc0,type,
    slcrc0: $i ).

tff(aFunction0,type,
    aFunction0: $i > $o ).

tff(isFinite0,type,
    isFinite0: $i > $o ).

tff(xQ,type,
    xQ: $i ).

tff('#skF_25',type,
    '#skF_25': ( $i * $i ) > $i ).

tff('#skF_3',type,
    '#skF_3': ( $i * $i * $i ) > $i ).

tff(sdtlcdtrc0,type,
    sdtlcdtrc0: ( $i * $i ) > $i ).

tff('#skF_2',type,
    '#skF_2': ( $i * $i ) > $i ).

tff('#skF_40',type,
    '#skF_40': ( $i * $i ) > $i ).

tff(iLess0,type,
    iLess0: ( $i * $i ) > $o ).

tff('#skF_27',type,
    '#skF_27': $i > $i ).

tff(szmzizndt0,type,
    szmzizndt0: $i > $i ).

tff('#skF_36',type,
    '#skF_36': ( $i * $i * $i * $i ) > $i ).

tff(szmzazxdt0,type,
    szmzazxdt0: $i > $i ).

tff('#skF_21',type,
    '#skF_21': ( $i * $i * $i ) > $i ).

tff(xK,type,
    xK: $i ).

tff('#skF_9',type,
    '#skF_9': ( $i * $i ) > $i ).

tff(slbdtrb0,type,
    slbdtrb0: $i > $i ).

tff('#skF_22',type,
    '#skF_22': ( $i * $i * $i * $i ) > $i ).

tff('#skF_16',type,
    '#skF_16': ( $i * $i * $i ) > $i ).

tff('#skF_39',type,
    '#skF_39': ( $i * $i ) > $i ).

tff(f_1176,negated_conjecture,
    ~ aElementOf0(xx,xT),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).

tff(f_1174,hypothesis,
    ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xi)),sdtlpdtrp0(xN,xi))
    & ! [W0] :
        ( aElementOf0(W0,sdtlpdtrp0(xN,xi))
       => sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,xi)),W0) )
    & aSet0(sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))))
    & ! [W0] :
        ( aElementOf0(W0,sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))))
      <=> ( aElement0(W0)
          & ( aElementOf0(W0,xQ)
            | ( W0 = szmzizndt0(sdtlpdtrp0(xN,xi)) ) ) ) )
    & aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xi)),sdtlpdtrp0(xN,xi))
    & ! [W0] :
        ( aElementOf0(W0,sdtlpdtrp0(xN,xi))
       => sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,xi)),W0) )
    & aSet0(sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))))
    & ! [W0] :
        ( aElementOf0(W0,sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))))
      <=> ( aElement0(W0)
          & ( aElementOf0(W0,xQ)
            | ( W0 = szmzizndt0(sdtlpdtrp0(xN,xi)) ) ) ) )
    & ? [W0] :
        ( aElementOf0(W0,szDzozmdt0(xc))
        & ( sdtlpdtrp0(xc,W0) = sdtlpdtrp0(xc,sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi)))) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__4263) ).

tff(f_1095,hypothesis,
    aElementOf0(xi,szNzAzT0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__4200) ).

tff(f_1134,hypothesis,
    ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xi)),sdtlpdtrp0(xN,xi))
    & ! [W0] :
        ( aElementOf0(W0,sdtlpdtrp0(xN,xi))
       => sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,xi)),W0) )
    & aSet0(sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))
    & ! [W0] :
        ( aElementOf0(W0,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))
      <=> ( aElement0(W0)
          & aElementOf0(W0,sdtlpdtrp0(xN,xi))
          & ( W0 != szmzizndt0(sdtlpdtrp0(xN,xi)) ) ) )
    & aSet0(xQ)
    & ! [W0] :
        ( aElementOf0(W0,xQ)
       => aElementOf0(W0,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi)))) )
    & aSubsetOf0(xQ,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))
    & ( sbrdtbr0(xQ) = xk )
    & aElementOf0(xQ,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))),xk))
    & ( sdtlpdtrp0(sdtlpdtrp0(xC,xi),xQ) = xx ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__4237) ).

tff(f_1094,hypothesis,
    ( aFunction0(xC)
    & ( szDzozmdt0(xC) = szNzAzT0 )
    & ! [W0] :
        ( aElementOf0(W0,szNzAzT0)
       => ( aFunction0(sdtlpdtrp0(xC,W0))
          & aElementOf0(szmzizndt0(sdtlpdtrp0(xN,W0)),sdtlpdtrp0(xN,W0))
          & ! [W1] :
              ( aElementOf0(W1,sdtlpdtrp0(xN,W0))
             => sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,W0)),W1) )
          & aSet0(sdtmndt0(sdtlpdtrp0(xN,W0),szmzizndt0(sdtlpdtrp0(xN,W0))))
          & ! [W1] :
              ( aElementOf0(W1,sdtmndt0(sdtlpdtrp0(xN,W0),szmzizndt0(sdtlpdtrp0(xN,W0))))
            <=> ( aElement0(W1)
                & aElementOf0(W1,sdtlpdtrp0(xN,W0))
                & ( W1 != szmzizndt0(sdtlpdtrp0(xN,W0)) ) ) )
          & ! [W1] :
              ( ( aElementOf0(W1,szDzozmdt0(sdtlpdtrp0(xC,W0)))
               => ( aSet0(W1)
                  & ! [W2] :
                      ( aElementOf0(W2,W1)
                     => aElementOf0(W2,sdtmndt0(sdtlpdtrp0(xN,W0),szmzizndt0(sdtlpdtrp0(xN,W0)))) )
                  & aSubsetOf0(W1,sdtmndt0(sdtlpdtrp0(xN,W0),szmzizndt0(sdtlpdtrp0(xN,W0))))
                  & ( sbrdtbr0(W1) = xk ) ) )
              & ( ( ( ( aSet0(W1)
                      & ! [W2] :
                          ( aElementOf0(W2,W1)
                         => aElementOf0(W2,sdtmndt0(sdtlpdtrp0(xN,W0),szmzizndt0(sdtlpdtrp0(xN,W0)))) ) )
                    | aSubsetOf0(W1,sdtmndt0(sdtlpdtrp0(xN,W0),szmzizndt0(sdtlpdtrp0(xN,W0)))) )
                  & ( sbrdtbr0(W1) = xk ) )
               => aElementOf0(W1,szDzozmdt0(sdtlpdtrp0(xC,W0))) ) )
          & ( szDzozmdt0(sdtlpdtrp0(xC,W0)) = slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,W0),szmzizndt0(sdtlpdtrp0(xN,W0))),xk) )
          & ! [W1] :
              ( ( aSet0(W1)
                & ( ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,W0)),sdtlpdtrp0(xN,W0))
                    & ! [W2] :
                        ( aElementOf0(W2,sdtlpdtrp0(xN,W0))
                       => sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,W0)),W2) ) )
                 => ( ( aSet0(sdtmndt0(sdtlpdtrp0(xN,W0),szmzizndt0(sdtlpdtrp0(xN,W0))))
                      & ! [W2] :
                          ( aElementOf0(W2,sdtmndt0(sdtlpdtrp0(xN,W0),szmzizndt0(sdtlpdtrp0(xN,W0))))
                        <=> ( aElement0(W2)
                            & aElementOf0(W2,sdtlpdtrp0(xN,W0))
                            & ( W2 != szmzizndt0(sdtlpdtrp0(xN,W0)) ) ) ) )
                   => ( ( ( ! [W2] :
                              ( aElementOf0(W2,W1)
                             => aElementOf0(W2,sdtmndt0(sdtlpdtrp0(xN,W0),szmzizndt0(sdtlpdtrp0(xN,W0)))) )
                          | aSubsetOf0(W1,sdtmndt0(sdtlpdtrp0(xN,W0),szmzizndt0(sdtlpdtrp0(xN,W0)))) )
                        & ( sbrdtbr0(W1) = xk ) )
                      | aElementOf0(W1,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,W0),szmzizndt0(sdtlpdtrp0(xN,W0))),xk)) ) ) ) )
             => ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,W0)),sdtlpdtrp0(xN,W0))
                & ! [W2] :
                    ( aElementOf0(W2,sdtlpdtrp0(xN,W0))
                   => sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,W0)),W2) )
                & ! [W2] :
                    ( aElementOf0(W2,sdtpldt0(W1,szmzizndt0(sdtlpdtrp0(xN,W0))))
                  <=> ( aElement0(W2)
                      & ( aElementOf0(W2,W1)
                        | ( W2 = szmzizndt0(sdtlpdtrp0(xN,W0)) ) ) ) )
                & ( sdtlpdtrp0(sdtlpdtrp0(xC,W0),W1) = sdtlpdtrp0(xc,sdtpldt0(W1,szmzizndt0(sdtlpdtrp0(xN,W0)))) ) ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__4151) ).

tff(f_721,hypothesis,
    ( aFunction0(xc)
    & ! [W0] :
        ( ( aElementOf0(W0,szDzozmdt0(xc))
         => ( aSet0(W0)
            & ! [W1] :
                ( aElementOf0(W1,W0)
               => aElementOf0(W1,xS) )
            & aSubsetOf0(W0,xS)
            & ( sbrdtbr0(W0) = xK ) ) )
        & ( ( ( ( aSet0(W0)
                & ! [W1] :
                    ( aElementOf0(W1,W0)
                   => aElementOf0(W1,xS) ) )
              | aSubsetOf0(W0,xS) )
            & ( sbrdtbr0(W0) = xK ) )
         => aElementOf0(W0,szDzozmdt0(xc)) ) )
    & ( szDzozmdt0(xc) = slbdtsldtrb0(xS,xK) )
    & aSet0(sdtlcdtrc0(xc,szDzozmdt0(xc)))
    & ! [W0] :
        ( aElementOf0(W0,sdtlcdtrc0(xc,szDzozmdt0(xc)))
      <=> ? [W1] :
            ( aElementOf0(W1,szDzozmdt0(xc))
            & ( sdtlpdtrp0(xc,W1) = W0 ) ) )
    & ! [W0] :
        ( aElementOf0(W0,sdtlcdtrc0(xc,szDzozmdt0(xc)))
       => aElementOf0(W0,xT) )
    & aSubsetOf0(sdtlcdtrc0(xc,szDzozmdt0(xc)),xT) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__3453) ).

tff(c_8914,plain,
    ~ aElementOf0(xx,xT),
    inference(cnfTransformation,[status(thm)],[f_1176]) ).

tff(c_8884,plain,
    aElementOf0('#skF_43',szDzozmdt0(xc)),
    inference(cnfTransformation,[status(thm)],[f_1174]) ).

tff(c_8848,plain,
    aElementOf0(xi,szNzAzT0),
    inference(cnfTransformation,[status(thm)],[f_1095]) ).

tff(c_8866,plain,
    aSet0(xQ),
    inference(cnfTransformation,[status(thm)],[f_1134]) ).

tff(c_8856,plain,
    sdtlpdtrp0(sdtlpdtrp0(xC,xi),xQ) = xx,
    inference(cnfTransformation,[status(thm)],[f_1134]) ).

tff(c_8882,plain,
    sdtlpdtrp0(xc,sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi)))) = sdtlpdtrp0(xc,'#skF_43'),
    inference(cnfTransformation,[status(thm)],[f_1174]) ).

tff(c_8858,plain,
    aElementOf0(xQ,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))),xk)),
    inference(cnfTransformation,[status(thm)],[f_1134]) ).

tff(c_54055,plain,
    ! [W1_1641,W0_1642] :
      ( ~ aElementOf0(W1_1641,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,W0_1642),szmzizndt0(sdtlpdtrp0(xN,W0_1642))),xk))
      | ( sdtlpdtrp0(xc,sdtpldt0(W1_1641,szmzizndt0(sdtlpdtrp0(xN,W0_1642)))) = sdtlpdtrp0(sdtlpdtrp0(xC,W0_1642),W1_1641) )
      | ~ aSet0(W1_1641)
      | ~ aElementOf0(W0_1642,szNzAzT0) ),
    inference(cnfTransformation,[status(thm)],[f_1094]) ).

tff(c_54245,plain,
    ( ( sdtlpdtrp0(xc,sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi)))) = sdtlpdtrp0(sdtlpdtrp0(xC,xi),xQ) )
    | ~ aSet0(xQ)
    | ~ aElementOf0(xi,szNzAzT0) ),
    inference(resolution,[status(thm)],[c_8858,c_54055]) ).

tff(c_54329,plain,
    sdtlpdtrp0(xc,'#skF_43') = xx,
    inference(demodulation,[status(thm),theory(equality)],[c_8848,c_8866,c_8856,c_8882,c_54245]) ).

tff(c_12426,plain,
    ! [W1_851] :
      ( aElementOf0(sdtlpdtrp0(xc,W1_851),sdtlcdtrc0(xc,szDzozmdt0(xc)))
      | ~ aElementOf0(W1_851,szDzozmdt0(xc)) ),
    inference(cnfTransformation,[status(thm)],[f_721]) ).

tff(c_348,plain,
    ! [W0_321] :
      ( aElementOf0(W0_321,xT)
      | ~ aElementOf0(W0_321,sdtlcdtrc0(xc,szDzozmdt0(xc))) ),
    inference(cnfTransformation,[status(thm)],[f_721]) ).

tff(c_12462,plain,
    ! [W1_851] :
      ( aElementOf0(sdtlpdtrp0(xc,W1_851),xT)
      | ~ aElementOf0(W1_851,szDzozmdt0(xc)) ),
    inference(resolution,[status(thm)],[c_12426,c_348]) ).

tff(c_54381,plain,
    ( aElementOf0(xx,xT)
    | ~ aElementOf0('#skF_43',szDzozmdt0(xc)) ),
    inference(superposition,[status(thm),theory(equality)],[c_54329,c_12462]) ).

tff(c_54415,plain,
    aElementOf0(xx,xT),
    inference(demodulation,[status(thm),theory(equality)],[c_8884,c_54381]) ).

tff(c_54417,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_8914,c_54415]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13  % Problem  : NUM587+3 : TPTP v9.0.0. Released v4.0.0.
% 0.08/0.14  % Command  : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% 0.14/0.35  % Computer : n008.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit : 300
% 0.14/0.35  % WCLimit  : 300
% 0.14/0.35  % DateTime : Tue Apr  8 13:51:17 EDT 2025
% 0.14/0.35  % CPUTime  : 
% 91.18/68.37  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 91.18/68.38  
% 91.18/68.38  % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------