TSTP Solution File: NUM526+3 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : NUM526+3 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s

% Computer : n012.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 : Thu Aug 31 12:10:55 EDT 2023

% Result   : Theorem 60.67s 9.13s
% Output   : Refutation 60.67s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   22
%            Number of leaves      :   27
% Syntax   : Number of formulae    :  179 (  72 unt;   0 def)
%            Number of atoms       :  535 ( 210 equ)
%            Maximal formula atoms :   10 (   2 avg)
%            Number of connectives :  594 ( 238   ~; 234   |;  89   &)
%                                         (   6 <=>;  27  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   4 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    9 (   7 usr;   4 prp; 0-2 aty)
%            Number of functors    :   11 (  11 usr;   8 con; 0-2 aty)
%            Number of variables   :  150 (; 141   !;   9   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f751939,plain,
    $false,
    inference(avatar_sat_refutation,[],[f268,f272,f745253,f750704]) ).

fof(f750704,plain,
    ~ spl8_1,
    inference(avatar_contradiction_clause,[],[f750703]) ).

fof(f750703,plain,
    ( $false
    | ~ spl8_1 ),
    inference(subsumption_resolution,[],[f750702,f633542]) ).

fof(f633542,plain,
    sdtasdt0(xn,xn) != sdtasdt0(xn,sdtasdt0(xn,xp)),
    inference(forward_demodulation,[],[f633541,f1150]) ).

fof(f1150,plain,
    sdtasdt0(xn,xn) = sdtasdt0(sdtasdt0(xn,xn),sz10),
    inference(backward_demodulation,[],[f992,f1127]) ).

fof(f1127,plain,
    sdtasdt0(xn,xn) = sdtasdt0(sz10,sdtasdt0(xn,xn)),
    inference(backward_demodulation,[],[f768,f643]) ).

fof(f643,plain,
    xn = sdtasdt0(sz10,xn),
    inference(unit_resulting_resolution,[],[f155,f187]) ).

fof(f187,plain,
    ! [X0] :
      ( sdtasdt0(sz10,X0) = X0
      | ~ aNaturalNumber0(X0) ),
    inference(cnf_transformation,[],[f60]) ).

fof(f60,plain,
    ! [X0] :
      ( ( sdtasdt0(sz10,X0) = X0
        & sdtasdt0(X0,sz10) = X0 )
      | ~ aNaturalNumber0(X0) ),
    inference(ennf_transformation,[],[f11]) ).

fof(f11,axiom,
    ! [X0] :
      ( aNaturalNumber0(X0)
     => ( sdtasdt0(sz10,X0) = X0
        & sdtasdt0(X0,sz10) = X0 ) ),
    file('/export/starexec/sandbox/tmp/tmp.R1gzRKvhh1/Vampire---4.8_28503',m_MulUnit) ).

fof(f155,plain,
    aNaturalNumber0(xn),
    inference(cnf_transformation,[],[f40]) ).

fof(f40,axiom,
    ( sz00 != xp
    & sz00 != xm
    & sz00 != xn
    & aNaturalNumber0(xp)
    & aNaturalNumber0(xm)
    & aNaturalNumber0(xn) ),
    file('/export/starexec/sandbox/tmp/tmp.R1gzRKvhh1/Vampire---4.8_28503',m__2987) ).

fof(f768,plain,
    sdtasdt0(sdtasdt0(sz10,xn),xn) = sdtasdt0(sz10,sdtasdt0(xn,xn)),
    inference(unit_resulting_resolution,[],[f179,f155,f155,f233]) ).

fof(f233,plain,
    ! [X2,X0,X1] :
      ( sdtasdt0(sdtasdt0(X0,X1),X2) = sdtasdt0(X0,sdtasdt0(X1,X2))
      | ~ aNaturalNumber0(X2)
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(cnf_transformation,[],[f106]) ).

fof(f106,plain,
    ! [X0,X1,X2] :
      ( sdtasdt0(sdtasdt0(X0,X1),X2) = sdtasdt0(X0,sdtasdt0(X1,X2))
      | ~ aNaturalNumber0(X2)
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(flattening,[],[f105]) ).

fof(f105,plain,
    ! [X0,X1,X2] :
      ( sdtasdt0(sdtasdt0(X0,X1),X2) = sdtasdt0(X0,sdtasdt0(X1,X2))
      | ~ aNaturalNumber0(X2)
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(ennf_transformation,[],[f10]) ).

fof(f10,axiom,
    ! [X0,X1,X2] :
      ( ( aNaturalNumber0(X2)
        & aNaturalNumber0(X1)
        & aNaturalNumber0(X0) )
     => sdtasdt0(sdtasdt0(X0,X1),X2) = sdtasdt0(X0,sdtasdt0(X1,X2)) ),
    file('/export/starexec/sandbox/tmp/tmp.R1gzRKvhh1/Vampire---4.8_28503',mMulAsso) ).

fof(f179,plain,
    aNaturalNumber0(sz10),
    inference(cnf_transformation,[],[f3]) ).

fof(f3,axiom,
    ( sz00 != sz10
    & aNaturalNumber0(sz10) ),
    file('/export/starexec/sandbox/tmp/tmp.R1gzRKvhh1/Vampire---4.8_28503',mSortsC_01) ).

fof(f992,plain,
    sdtasdt0(sdtasdt0(xn,xn),sz10) = sdtasdt0(sz10,sdtasdt0(xn,xn)),
    inference(backward_demodulation,[],[f971,f991]) ).

fof(f991,plain,
    sdtasdt0(xn,sdtasdt0(sz10,xn)) = sdtasdt0(sz10,sdtasdt0(xn,xn)),
    inference(forward_demodulation,[],[f972,f768]) ).

fof(f972,plain,
    sdtasdt0(xn,sdtasdt0(sz10,xn)) = sdtasdt0(sdtasdt0(sz10,xn),xn),
    inference(backward_demodulation,[],[f765,f673]) ).

fof(f673,plain,
    sdtasdt0(xn,sz10) = sdtasdt0(sz10,xn),
    inference(unit_resulting_resolution,[],[f179,f155,f205]) ).

fof(f205,plain,
    ! [X0,X1] :
      ( sdtasdt0(X0,X1) = sdtasdt0(X1,X0)
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(cnf_transformation,[],[f76]) ).

fof(f76,plain,
    ! [X0,X1] :
      ( sdtasdt0(X0,X1) = sdtasdt0(X1,X0)
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(flattening,[],[f75]) ).

fof(f75,plain,
    ! [X0,X1] :
      ( sdtasdt0(X0,X1) = sdtasdt0(X1,X0)
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(ennf_transformation,[],[f9]) ).

fof(f9,axiom,
    ! [X0,X1] :
      ( ( aNaturalNumber0(X1)
        & aNaturalNumber0(X0) )
     => sdtasdt0(X0,X1) = sdtasdt0(X1,X0) ),
    file('/export/starexec/sandbox/tmp/tmp.R1gzRKvhh1/Vampire---4.8_28503',mMulComm) ).

fof(f765,plain,
    sdtasdt0(sdtasdt0(xn,sz10),xn) = sdtasdt0(xn,sdtasdt0(sz10,xn)),
    inference(unit_resulting_resolution,[],[f155,f179,f155,f233]) ).

fof(f971,plain,
    sdtasdt0(xn,sdtasdt0(sz10,xn)) = sdtasdt0(sdtasdt0(xn,xn),sz10),
    inference(backward_demodulation,[],[f749,f673]) ).

fof(f749,plain,
    sdtasdt0(sdtasdt0(xn,xn),sz10) = sdtasdt0(xn,sdtasdt0(xn,sz10)),
    inference(unit_resulting_resolution,[],[f155,f179,f155,f233]) ).

fof(f633541,plain,
    sdtasdt0(sdtasdt0(xn,xn),sz10) != sdtasdt0(xn,sdtasdt0(xn,xp)),
    inference(forward_demodulation,[],[f633011,f2405]) ).

fof(f2405,plain,
    sdtasdt0(sdtasdt0(xn,xn),xp) = sdtasdt0(xn,sdtasdt0(xn,xp)),
    inference(unit_resulting_resolution,[],[f155,f155,f157,f233]) ).

fof(f157,plain,
    aNaturalNumber0(xp),
    inference(cnf_transformation,[],[f40]) ).

fof(f633011,plain,
    sdtasdt0(sdtasdt0(xn,xn),sz10) != sdtasdt0(sdtasdt0(xn,xn),xp),
    inference(unit_resulting_resolution,[],[f157,f179,f161,f8290,f658,f7919,f237]) ).

fof(f237,plain,
    ! [X2,X0,X1] :
      ( sdtasdt0(X0,X1) != sdtasdt0(X0,X2)
      | ~ sdtlseqdt0(X1,X2)
      | X1 = X2
      | sz00 = X0
      | ~ aNaturalNumber0(X2)
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(cnf_transformation,[],[f112]) ).

fof(f112,plain,
    ! [X0,X1,X2] :
      ( ( sdtlseqdt0(sdtasdt0(X1,X0),sdtasdt0(X2,X0))
        & sdtasdt0(X1,X0) != sdtasdt0(X2,X0)
        & sdtlseqdt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2))
        & sdtasdt0(X0,X1) != sdtasdt0(X0,X2) )
      | ~ sdtlseqdt0(X1,X2)
      | X1 = X2
      | sz00 = X0
      | ~ aNaturalNumber0(X2)
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(flattening,[],[f111]) ).

fof(f111,plain,
    ! [X0,X1,X2] :
      ( ( sdtlseqdt0(sdtasdt0(X1,X0),sdtasdt0(X2,X0))
        & sdtasdt0(X1,X0) != sdtasdt0(X2,X0)
        & sdtlseqdt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2))
        & sdtasdt0(X0,X1) != sdtasdt0(X0,X2) )
      | ~ sdtlseqdt0(X1,X2)
      | X1 = X2
      | sz00 = X0
      | ~ aNaturalNumber0(X2)
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(ennf_transformation,[],[f25]) ).

fof(f25,axiom,
    ! [X0,X1,X2] :
      ( ( aNaturalNumber0(X2)
        & aNaturalNumber0(X1)
        & aNaturalNumber0(X0) )
     => ( ( sdtlseqdt0(X1,X2)
          & X1 != X2
          & sz00 != X0 )
       => ( sdtlseqdt0(sdtasdt0(X1,X0),sdtasdt0(X2,X0))
          & sdtasdt0(X1,X0) != sdtasdt0(X2,X0)
          & sdtlseqdt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2))
          & sdtasdt0(X0,X1) != sdtasdt0(X0,X2) ) ) ),
    file('/export/starexec/sandbox/tmp/tmp.R1gzRKvhh1/Vampire---4.8_28503',mMonMul) ).

fof(f7919,plain,
    sz00 != sdtasdt0(xn,xn),
    inference(forward_demodulation,[],[f7883,f639]) ).

fof(f639,plain,
    sz00 = sdtasdt0(sz00,xn),
    inference(unit_resulting_resolution,[],[f155,f183]) ).

fof(f183,plain,
    ! [X0] :
      ( sz00 = sdtasdt0(sz00,X0)
      | ~ aNaturalNumber0(X0) ),
    inference(cnf_transformation,[],[f58]) ).

fof(f58,plain,
    ! [X0] :
      ( ( sz00 = sdtasdt0(sz00,X0)
        & sz00 = sdtasdt0(X0,sz00) )
      | ~ aNaturalNumber0(X0) ),
    inference(ennf_transformation,[],[f12]) ).

fof(f12,axiom,
    ! [X0] :
      ( aNaturalNumber0(X0)
     => ( sz00 = sdtasdt0(sz00,X0)
        & sz00 = sdtasdt0(X0,sz00) ) ),
    file('/export/starexec/sandbox/tmp/tmp.R1gzRKvhh1/Vampire---4.8_28503',m_MulZero) ).

fof(f7883,plain,
    sdtasdt0(xn,xn) != sdtasdt0(sz00,xn),
    inference(unit_resulting_resolution,[],[f155,f158,f155,f178,f158,f191]) ).

fof(f191,plain,
    ! [X2,X0,X1] :
      ( X1 = X2
      | sdtasdt0(X1,X0) != sdtasdt0(X2,X0)
      | ~ aNaturalNumber0(X2)
      | ~ aNaturalNumber0(X1)
      | sz00 = X0
      | ~ aNaturalNumber0(X0) ),
    inference(cnf_transformation,[],[f64]) ).

fof(f64,plain,
    ! [X0] :
      ( ! [X1,X2] :
          ( X1 = X2
          | ( sdtasdt0(X1,X0) != sdtasdt0(X2,X0)
            & sdtasdt0(X0,X1) != sdtasdt0(X0,X2) )
          | ~ aNaturalNumber0(X2)
          | ~ aNaturalNumber0(X1) )
      | sz00 = X0
      | ~ aNaturalNumber0(X0) ),
    inference(flattening,[],[f63]) ).

fof(f63,plain,
    ! [X0] :
      ( ! [X1,X2] :
          ( X1 = X2
          | ( sdtasdt0(X1,X0) != sdtasdt0(X2,X0)
            & sdtasdt0(X0,X1) != sdtasdt0(X0,X2) )
          | ~ aNaturalNumber0(X2)
          | ~ aNaturalNumber0(X1) )
      | sz00 = X0
      | ~ aNaturalNumber0(X0) ),
    inference(ennf_transformation,[],[f15]) ).

fof(f15,axiom,
    ! [X0] :
      ( aNaturalNumber0(X0)
     => ( sz00 != X0
       => ! [X1,X2] :
            ( ( aNaturalNumber0(X2)
              & aNaturalNumber0(X1) )
           => ( ( sdtasdt0(X1,X0) = sdtasdt0(X2,X0)
                | sdtasdt0(X0,X1) = sdtasdt0(X0,X2) )
             => X1 = X2 ) ) ) ),
    file('/export/starexec/sandbox/tmp/tmp.R1gzRKvhh1/Vampire---4.8_28503',mMulCanc) ).

fof(f178,plain,
    aNaturalNumber0(sz00),
    inference(cnf_transformation,[],[f2]) ).

fof(f2,axiom,
    aNaturalNumber0(sz00),
    file('/export/starexec/sandbox/tmp/tmp.R1gzRKvhh1/Vampire---4.8_28503',mSortsC) ).

fof(f158,plain,
    sz00 != xn,
    inference(cnf_transformation,[],[f40]) ).

fof(f658,plain,
    aNaturalNumber0(sdtasdt0(xn,xn)),
    inference(unit_resulting_resolution,[],[f155,f155,f203]) ).

fof(f203,plain,
    ! [X0,X1] :
      ( aNaturalNumber0(sdtasdt0(X0,X1))
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(cnf_transformation,[],[f72]) ).

fof(f72,plain,
    ! [X0,X1] :
      ( aNaturalNumber0(sdtasdt0(X0,X1))
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(flattening,[],[f71]) ).

fof(f71,plain,
    ! [X0,X1] :
      ( aNaturalNumber0(sdtasdt0(X0,X1))
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(ennf_transformation,[],[f5]) ).

fof(f5,axiom,
    ! [X0,X1] :
      ( ( aNaturalNumber0(X1)
        & aNaturalNumber0(X0) )
     => aNaturalNumber0(sdtasdt0(X0,X1)) ),
    file('/export/starexec/sandbox/tmp/tmp.R1gzRKvhh1/Vampire---4.8_28503',mSortsB_02) ).

fof(f8290,plain,
    sdtlseqdt0(sz10,xp),
    inference(forward_demodulation,[],[f8153,f2159]) ).

fof(f2159,plain,
    xp = sdtasdt0(sz10,xp),
    inference(unit_resulting_resolution,[],[f157,f187]) ).

fof(f8153,plain,
    sdtlseqdt0(sz10,sdtasdt0(sz10,xp)),
    inference(unit_resulting_resolution,[],[f179,f157,f160,f208]) ).

fof(f208,plain,
    ! [X0,X1] :
      ( sdtlseqdt0(X1,sdtasdt0(X1,X0))
      | sz00 = X0
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(cnf_transformation,[],[f80]) ).

fof(f80,plain,
    ! [X0,X1] :
      ( sdtlseqdt0(X1,sdtasdt0(X1,X0))
      | sz00 = X0
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(flattening,[],[f79]) ).

fof(f79,plain,
    ! [X0,X1] :
      ( sdtlseqdt0(X1,sdtasdt0(X1,X0))
      | sz00 = X0
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(ennf_transformation,[],[f27]) ).

fof(f27,axiom,
    ! [X0,X1] :
      ( ( aNaturalNumber0(X1)
        & aNaturalNumber0(X0) )
     => ( sz00 != X0
       => sdtlseqdt0(X1,sdtasdt0(X1,X0)) ) ),
    file('/export/starexec/sandbox/tmp/tmp.R1gzRKvhh1/Vampire---4.8_28503',mMonMul2) ).

fof(f160,plain,
    sz00 != xp,
    inference(cnf_transformation,[],[f40]) ).

fof(f161,plain,
    sz10 != xp,
    inference(cnf_transformation,[],[f54]) ).

fof(f54,plain,
    ( isPrime0(xp)
    & ! [X0] :
        ( xp = X0
        | sz10 = X0
        | ( ~ doDivides0(X0,xp)
          & ! [X1] :
              ( sdtasdt0(X0,X1) != xp
              | ~ aNaturalNumber0(X1) ) )
        | ~ aNaturalNumber0(X0) )
    & sz10 != xp ),
    inference(flattening,[],[f53]) ).

fof(f53,plain,
    ( isPrime0(xp)
    & ! [X0] :
        ( xp = X0
        | sz10 = X0
        | ( ~ doDivides0(X0,xp)
          & ! [X1] :
              ( sdtasdt0(X0,X1) != xp
              | ~ aNaturalNumber0(X1) ) )
        | ~ aNaturalNumber0(X0) )
    & sz10 != xp ),
    inference(ennf_transformation,[],[f43]) ).

fof(f43,axiom,
    ( isPrime0(xp)
    & ! [X0] :
        ( ( ( doDivides0(X0,xp)
            | ? [X1] :
                ( sdtasdt0(X0,X1) = xp
                & aNaturalNumber0(X1) ) )
          & aNaturalNumber0(X0) )
       => ( xp = X0
          | sz10 = X0 ) )
    & sz10 != xp ),
    file('/export/starexec/sandbox/tmp/tmp.R1gzRKvhh1/Vampire---4.8_28503',m__3025) ).

fof(f750702,plain,
    ( sdtasdt0(xn,xn) = sdtasdt0(xn,sdtasdt0(xn,xp))
    | ~ spl8_1 ),
    inference(backward_demodulation,[],[f3023,f745419]) ).

fof(f745419,plain,
    ( sdtasdt0(xn,xn) = sdtasdt0(sdtasdt0(xn,xp),xn)
    | ~ spl8_1 ),
    inference(backward_demodulation,[],[f3156,f263]) ).

fof(f263,plain,
    ( xn = xm
    | ~ spl8_1 ),
    inference(avatar_component_clause,[],[f261]) ).

fof(f261,plain,
    ( spl8_1
  <=> xn = xm ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_1])]) ).

fof(f3156,plain,
    sdtasdt0(xn,xn) = sdtasdt0(sdtasdt0(xm,xp),xm),
    inference(forward_demodulation,[],[f3122,f3004]) ).

fof(f3004,plain,
    sdtasdt0(xn,xn) = sdtasdt0(xm,sdtasdt0(xm,xp)),
    inference(backward_demodulation,[],[f2858,f2969]) ).

fof(f2969,plain,
    xn = sdtasdt0(xq,xp),
    inference(forward_demodulation,[],[f2207,f153]) ).

fof(f153,plain,
    xn = sdtasdt0(xp,xq),
    inference(cnf_transformation,[],[f45]) ).

fof(f45,axiom,
    ( xq = sdtsldt0(xn,xp)
    & xn = sdtasdt0(xp,xq)
    & aNaturalNumber0(xq) ),
    file('/export/starexec/sandbox/tmp/tmp.R1gzRKvhh1/Vampire---4.8_28503',m__3059) ).

fof(f2207,plain,
    sdtasdt0(xp,xq) = sdtasdt0(xq,xp),
    inference(unit_resulting_resolution,[],[f152,f157,f205]) ).

fof(f152,plain,
    aNaturalNumber0(xq),
    inference(cnf_transformation,[],[f45]) ).

fof(f2858,plain,
    sdtasdt0(xm,sdtasdt0(xm,xp)) = sdtasdt0(xn,sdtasdt0(xq,xp)),
    inference(forward_demodulation,[],[f2841,f2423]) ).

fof(f2423,plain,
    sdtasdt0(sdtasdt0(xn,xq),xp) = sdtasdt0(xn,sdtasdt0(xq,xp)),
    inference(unit_resulting_resolution,[],[f155,f152,f157,f233]) ).

fof(f2841,plain,
    sdtasdt0(xm,sdtasdt0(xm,xp)) = sdtasdt0(sdtasdt0(xn,xq),xp),
    inference(backward_demodulation,[],[f2412,f2818]) ).

fof(f2818,plain,
    sdtasdt0(xm,xm) = sdtasdt0(xn,xq),
    inference(backward_demodulation,[],[f150,f2817]) ).

fof(f2817,plain,
    sdtasdt0(xp,sdtasdt0(xq,xq)) = sdtasdt0(xn,xq),
    inference(forward_demodulation,[],[f2354,f153]) ).

fof(f2354,plain,
    sdtasdt0(xp,sdtasdt0(xq,xq)) = sdtasdt0(sdtasdt0(xp,xq),xq),
    inference(unit_resulting_resolution,[],[f152,f152,f157,f233]) ).

fof(f150,plain,
    sdtasdt0(xm,xm) = sdtasdt0(xp,sdtasdt0(xq,xq)),
    inference(cnf_transformation,[],[f46]) ).

fof(f46,axiom,
    sdtasdt0(xm,xm) = sdtasdt0(xp,sdtasdt0(xq,xq)),
    file('/export/starexec/sandbox/tmp/tmp.R1gzRKvhh1/Vampire---4.8_28503',m__3082) ).

fof(f2412,plain,
    sdtasdt0(sdtasdt0(xm,xm),xp) = sdtasdt0(xm,sdtasdt0(xm,xp)),
    inference(unit_resulting_resolution,[],[f156,f156,f157,f233]) ).

fof(f156,plain,
    aNaturalNumber0(xm),
    inference(cnf_transformation,[],[f40]) ).

fof(f3122,plain,
    sdtasdt0(sdtasdt0(xm,xp),xm) = sdtasdt0(xm,sdtasdt0(xm,xp)),
    inference(backward_demodulation,[],[f2376,f2205]) ).

fof(f2205,plain,
    sdtasdt0(xp,xm) = sdtasdt0(xm,xp),
    inference(unit_resulting_resolution,[],[f156,f157,f205]) ).

fof(f2376,plain,
    sdtasdt0(sdtasdt0(xm,xp),xm) = sdtasdt0(xm,sdtasdt0(xp,xm)),
    inference(unit_resulting_resolution,[],[f156,f156,f157,f233]) ).

fof(f3023,plain,
    sdtasdt0(sdtasdt0(xn,xp),xn) = sdtasdt0(xn,sdtasdt0(xn,xp)),
    inference(backward_demodulation,[],[f2369,f2998]) ).

fof(f2998,plain,
    sdtasdt0(xp,xn) = sdtasdt0(xn,xp),
    inference(backward_demodulation,[],[f2786,f2969]) ).

fof(f2786,plain,
    sdtasdt0(xn,xp) = sdtasdt0(xp,sdtasdt0(xq,xp)),
    inference(forward_demodulation,[],[f2425,f153]) ).

fof(f2425,plain,
    sdtasdt0(sdtasdt0(xp,xq),xp) = sdtasdt0(xp,sdtasdt0(xq,xp)),
    inference(unit_resulting_resolution,[],[f157,f152,f157,f233]) ).

fof(f2369,plain,
    sdtasdt0(sdtasdt0(xn,xp),xn) = sdtasdt0(xn,sdtasdt0(xp,xn)),
    inference(unit_resulting_resolution,[],[f155,f155,f157,f233]) ).

fof(f745253,plain,
    ( spl8_2
    | ~ spl8_3 ),
    inference(avatar_contradiction_clause,[],[f745252]) ).

fof(f745252,plain,
    ( $false
    | spl8_2
    | ~ spl8_3 ),
    inference(subsumption_resolution,[],[f745237,f13490]) ).

fof(f13490,plain,
    ( sdtlseqdt0(sdtasdt0(xn,xn),sdtasdt0(xn,xm))
    | spl8_2
    | ~ spl8_3 ),
    inference(forward_demodulation,[],[f13416,f1279]) ).

fof(f1279,plain,
    sdtasdt0(xm,xn) = sdtasdt0(xn,xm),
    inference(unit_resulting_resolution,[],[f155,f156,f205]) ).

fof(f13416,plain,
    ( sdtlseqdt0(sdtasdt0(xn,xn),sdtasdt0(xm,xn))
    | spl8_2
    | ~ spl8_3 ),
    inference(unit_resulting_resolution,[],[f155,f155,f156,f158,f7822,f13362,f240]) ).

fof(f240,plain,
    ! [X2,X0,X1] :
      ( sdtlseqdt0(sdtasdt0(X1,X0),sdtasdt0(X2,X0))
      | ~ sdtlseqdt0(X1,X2)
      | X1 = X2
      | sz00 = X0
      | ~ aNaturalNumber0(X2)
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(cnf_transformation,[],[f112]) ).

fof(f13362,plain,
    ( xn != xm
    | ~ spl8_3 ),
    inference(subsumption_resolution,[],[f13361,f156]) ).

fof(f13361,plain,
    ( xn != xm
    | ~ aNaturalNumber0(xm)
    | ~ spl8_3 ),
    inference(subsumption_resolution,[],[f13355,f178]) ).

fof(f13355,plain,
    ( xn != xm
    | ~ aNaturalNumber0(sz00)
    | ~ aNaturalNumber0(xm)
    | ~ spl8_3 ),
    inference(superposition,[],[f271,f184]) ).

fof(f184,plain,
    ! [X0] :
      ( sdtpldt0(X0,sz00) = X0
      | ~ aNaturalNumber0(X0) ),
    inference(cnf_transformation,[],[f59]) ).

fof(f59,plain,
    ! [X0] :
      ( ( sdtpldt0(sz00,X0) = X0
        & sdtpldt0(X0,sz00) = X0 )
      | ~ aNaturalNumber0(X0) ),
    inference(ennf_transformation,[],[f8]) ).

fof(f8,axiom,
    ! [X0] :
      ( aNaturalNumber0(X0)
     => ( sdtpldt0(sz00,X0) = X0
        & sdtpldt0(X0,sz00) = X0 ) ),
    file('/export/starexec/sandbox/tmp/tmp.R1gzRKvhh1/Vampire---4.8_28503',m_AddZero) ).

fof(f271,plain,
    ( ! [X0] :
        ( xn != sdtpldt0(xm,X0)
        | ~ aNaturalNumber0(X0) )
    | ~ spl8_3 ),
    inference(avatar_component_clause,[],[f270]) ).

fof(f270,plain,
    ( spl8_3
  <=> ! [X0] :
        ( xn != sdtpldt0(xm,X0)
        | ~ aNaturalNumber0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_3])]) ).

fof(f7822,plain,
    ( sdtlseqdt0(xn,xm)
    | spl8_2 ),
    inference(unit_resulting_resolution,[],[f155,f156,f267,f207]) ).

fof(f207,plain,
    ! [X0,X1] :
      ( sdtlseqdt0(X1,X0)
      | sdtlseqdt0(X0,X1)
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(cnf_transformation,[],[f78]) ).

fof(f78,plain,
    ! [X0,X1] :
      ( ( sdtlseqdt0(X1,X0)
        & X0 != X1 )
      | sdtlseqdt0(X0,X1)
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(flattening,[],[f77]) ).

fof(f77,plain,
    ! [X0,X1] :
      ( ( sdtlseqdt0(X1,X0)
        & X0 != X1 )
      | sdtlseqdt0(X0,X1)
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(ennf_transformation,[],[f23]) ).

fof(f23,axiom,
    ! [X0,X1] :
      ( ( aNaturalNumber0(X1)
        & aNaturalNumber0(X0) )
     => ( ( sdtlseqdt0(X1,X0)
          & X0 != X1 )
        | sdtlseqdt0(X0,X1) ) ),
    file('/export/starexec/sandbox/tmp/tmp.R1gzRKvhh1/Vampire---4.8_28503',mLETotal) ).

fof(f267,plain,
    ( ~ sdtlseqdt0(xm,xn)
    | spl8_2 ),
    inference(avatar_component_clause,[],[f265]) ).

fof(f265,plain,
    ( spl8_2
  <=> sdtlseqdt0(xm,xn) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_2])]) ).

fof(f745237,plain,
    ( ~ sdtlseqdt0(sdtasdt0(xn,xn),sdtasdt0(xn,xm))
    | spl8_2
    | ~ spl8_3 ),
    inference(unit_resulting_resolution,[],[f165,f1259,f615308,f658,f8287,f244]) ).

fof(f244,plain,
    ! [X2,X0,X1] :
      ( sdtlseqdt0(X0,X2)
      | ~ sdtlseqdt0(X1,X2)
      | ~ sdtlseqdt0(X0,X1)
      | ~ aNaturalNumber0(X2)
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(cnf_transformation,[],[f120]) ).

fof(f120,plain,
    ! [X0,X1,X2] :
      ( sdtlseqdt0(X0,X2)
      | ~ sdtlseqdt0(X1,X2)
      | ~ sdtlseqdt0(X0,X1)
      | ~ aNaturalNumber0(X2)
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(flattening,[],[f119]) ).

fof(f119,plain,
    ! [X0,X1,X2] :
      ( sdtlseqdt0(X0,X2)
      | ~ sdtlseqdt0(X1,X2)
      | ~ sdtlseqdt0(X0,X1)
      | ~ aNaturalNumber0(X2)
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(ennf_transformation,[],[f22]) ).

fof(f22,axiom,
    ! [X0,X1,X2] :
      ( ( aNaturalNumber0(X2)
        & aNaturalNumber0(X1)
        & aNaturalNumber0(X0) )
     => ( ( sdtlseqdt0(X1,X2)
          & sdtlseqdt0(X0,X1) )
       => sdtlseqdt0(X0,X2) ) ),
    file('/export/starexec/sandbox/tmp/tmp.R1gzRKvhh1/Vampire---4.8_28503',mLETran) ).

fof(f8287,plain,
    sdtlseqdt0(sK1,sdtasdt0(xn,xn)),
    inference(forward_demodulation,[],[f8159,f4646]) ).

fof(f4646,plain,
    sdtasdt0(xn,xn) = sdtasdt0(sK1,xp),
    inference(forward_demodulation,[],[f3590,f166]) ).

fof(f166,plain,
    sdtasdt0(xn,xn) = sdtasdt0(xp,sK1),
    inference(cnf_transformation,[],[f125]) ).

fof(f125,plain,
    ( doDivides0(xp,xn)
    & xn = sdtasdt0(xp,sK0)
    & aNaturalNumber0(sK0)
    & doDivides0(xp,sdtasdt0(xn,xn))
    & sdtasdt0(xn,xn) = sdtasdt0(xp,sK1)
    & aNaturalNumber0(sK1) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f49,f124,f123]) ).

fof(f123,plain,
    ( ? [X0] :
        ( xn = sdtasdt0(xp,X0)
        & aNaturalNumber0(X0) )
   => ( xn = sdtasdt0(xp,sK0)
      & aNaturalNumber0(sK0) ) ),
    introduced(choice_axiom,[]) ).

fof(f124,plain,
    ( ? [X1] :
        ( sdtasdt0(xn,xn) = sdtasdt0(xp,X1)
        & aNaturalNumber0(X1) )
   => ( sdtasdt0(xn,xn) = sdtasdt0(xp,sK1)
      & aNaturalNumber0(sK1) ) ),
    introduced(choice_axiom,[]) ).

fof(f49,plain,
    ( doDivides0(xp,xn)
    & ? [X0] :
        ( xn = sdtasdt0(xp,X0)
        & aNaturalNumber0(X0) )
    & doDivides0(xp,sdtasdt0(xn,xn))
    & ? [X1] :
        ( sdtasdt0(xn,xn) = sdtasdt0(xp,X1)
        & aNaturalNumber0(X1) ) ),
    inference(rectify,[],[f44]) ).

fof(f44,axiom,
    ( doDivides0(xp,xn)
    & ? [X0] :
        ( xn = sdtasdt0(xp,X0)
        & aNaturalNumber0(X0) )
    & doDivides0(xp,sdtasdt0(xn,xn))
    & ? [X0] :
        ( sdtasdt0(xn,xn) = sdtasdt0(xp,X0)
        & aNaturalNumber0(X0) ) ),
    file('/export/starexec/sandbox/tmp/tmp.R1gzRKvhh1/Vampire---4.8_28503',m__3046) ).

fof(f3590,plain,
    sdtasdt0(xp,sK1) = sdtasdt0(sK1,xp),
    inference(unit_resulting_resolution,[],[f157,f165,f205]) ).

fof(f8159,plain,
    sdtlseqdt0(sK1,sdtasdt0(sK1,xp)),
    inference(unit_resulting_resolution,[],[f165,f157,f160,f208]) ).

fof(f615308,plain,
    ( ~ sdtlseqdt0(sK1,sdtasdt0(xn,xm))
    | spl8_2
    | ~ spl8_3 ),
    inference(unit_resulting_resolution,[],[f165,f1259,f13696,f13722,f225]) ).

fof(f225,plain,
    ! [X0,X1] :
      ( X0 = X1
      | ~ sdtlseqdt0(X1,X0)
      | ~ sdtlseqdt0(X0,X1)
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(cnf_transformation,[],[f98]) ).

fof(f98,plain,
    ! [X0,X1] :
      ( X0 = X1
      | ~ sdtlseqdt0(X1,X0)
      | ~ sdtlseqdt0(X0,X1)
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(flattening,[],[f97]) ).

fof(f97,plain,
    ! [X0,X1] :
      ( X0 = X1
      | ~ sdtlseqdt0(X1,X0)
      | ~ sdtlseqdt0(X0,X1)
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(ennf_transformation,[],[f21]) ).

fof(f21,axiom,
    ! [X0,X1] :
      ( ( aNaturalNumber0(X1)
        & aNaturalNumber0(X0) )
     => ( ( sdtlseqdt0(X1,X0)
          & sdtlseqdt0(X0,X1) )
       => X0 = X1 ) ),
    file('/export/starexec/sandbox/tmp/tmp.R1gzRKvhh1/Vampire---4.8_28503',mLEAsym) ).

fof(f13722,plain,
    ( sK1 != sdtasdt0(xn,xm)
    | ~ spl8_3 ),
    inference(backward_demodulation,[],[f13439,f13670]) ).

fof(f13670,plain,
    sdtasdt0(xm,xm) = sK1,
    inference(backward_demodulation,[],[f2818,f13641]) ).

fof(f13641,plain,
    sK1 = sdtasdt0(xn,xq),
    inference(subsumption_resolution,[],[f13640,f658]) ).

fof(f13640,plain,
    ( ~ aNaturalNumber0(sdtasdt0(xn,xn))
    | sK1 = sdtasdt0(xn,xq) ),
    inference(forward_demodulation,[],[f13639,f166]) ).

fof(f13639,plain,
    ( sK1 = sdtasdt0(xn,xq)
    | ~ aNaturalNumber0(sdtasdt0(xp,sK1)) ),
    inference(subsumption_resolution,[],[f13638,f167]) ).

fof(f167,plain,
    doDivides0(xp,sdtasdt0(xn,xn)),
    inference(cnf_transformation,[],[f125]) ).

fof(f13638,plain,
    ( ~ doDivides0(xp,sdtasdt0(xn,xn))
    | sK1 = sdtasdt0(xn,xq)
    | ~ aNaturalNumber0(sdtasdt0(xp,sK1)) ),
    inference(forward_demodulation,[],[f13637,f166]) ).

fof(f13637,plain,
    ( sK1 = sdtasdt0(xn,xq)
    | ~ doDivides0(xp,sdtasdt0(xp,sK1))
    | ~ aNaturalNumber0(sdtasdt0(xp,sK1)) ),
    inference(forward_demodulation,[],[f13636,f8514]) ).

fof(f8514,plain,
    sdtasdt0(xn,xq) = sdtsldt0(sdtasdt0(xn,xn),xp),
    inference(forward_demodulation,[],[f8408,f154]) ).

fof(f154,plain,
    xq = sdtsldt0(xn,xp),
    inference(cnf_transformation,[],[f45]) ).

fof(f8408,plain,
    sdtasdt0(xn,sdtsldt0(xn,xp)) = sdtsldt0(sdtasdt0(xn,xn),xp),
    inference(unit_resulting_resolution,[],[f155,f157,f155,f160,f170,f220]) ).

fof(f220,plain,
    ! [X2,X0,X1] :
      ( sdtasdt0(X2,sdtsldt0(X1,X0)) = sdtsldt0(sdtasdt0(X2,X1),X0)
      | ~ aNaturalNumber0(X2)
      | ~ doDivides0(X0,X1)
      | sz00 = X0
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(cnf_transformation,[],[f92]) ).

fof(f92,plain,
    ! [X0,X1] :
      ( ! [X2] :
          ( sdtasdt0(X2,sdtsldt0(X1,X0)) = sdtsldt0(sdtasdt0(X2,X1),X0)
          | ~ aNaturalNumber0(X2) )
      | ~ doDivides0(X0,X1)
      | sz00 = X0
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(flattening,[],[f91]) ).

fof(f91,plain,
    ! [X0,X1] :
      ( ! [X2] :
          ( sdtasdt0(X2,sdtsldt0(X1,X0)) = sdtsldt0(sdtasdt0(X2,X1),X0)
          | ~ aNaturalNumber0(X2) )
      | ~ doDivides0(X0,X1)
      | sz00 = X0
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(ennf_transformation,[],[f36]) ).

fof(f36,axiom,
    ! [X0,X1] :
      ( ( aNaturalNumber0(X1)
        & aNaturalNumber0(X0) )
     => ( ( doDivides0(X0,X1)
          & sz00 != X0 )
       => ! [X2] :
            ( aNaturalNumber0(X2)
           => sdtasdt0(X2,sdtsldt0(X1,X0)) = sdtsldt0(sdtasdt0(X2,X1),X0) ) ) ),
    file('/export/starexec/sandbox/tmp/tmp.R1gzRKvhh1/Vampire---4.8_28503',mDivAsso) ).

fof(f170,plain,
    doDivides0(xp,xn),
    inference(cnf_transformation,[],[f125]) ).

fof(f13636,plain,
    ( sK1 = sdtsldt0(sdtasdt0(xn,xn),xp)
    | ~ doDivides0(xp,sdtasdt0(xp,sK1))
    | ~ aNaturalNumber0(sdtasdt0(xp,sK1)) ),
    inference(subsumption_resolution,[],[f13635,f157]) ).

fof(f13635,plain,
    ( sK1 = sdtsldt0(sdtasdt0(xn,xn),xp)
    | ~ doDivides0(xp,sdtasdt0(xp,sK1))
    | ~ aNaturalNumber0(sdtasdt0(xp,sK1))
    | ~ aNaturalNumber0(xp) ),
    inference(subsumption_resolution,[],[f13634,f160]) ).

fof(f13634,plain,
    ( sK1 = sdtsldt0(sdtasdt0(xn,xn),xp)
    | ~ doDivides0(xp,sdtasdt0(xp,sK1))
    | sz00 = xp
    | ~ aNaturalNumber0(sdtasdt0(xp,sK1))
    | ~ aNaturalNumber0(xp) ),
    inference(subsumption_resolution,[],[f13562,f165]) ).

fof(f13562,plain,
    ( sK1 = sdtsldt0(sdtasdt0(xn,xn),xp)
    | ~ aNaturalNumber0(sK1)
    | ~ doDivides0(xp,sdtasdt0(xp,sK1))
    | sz00 = xp
    | ~ aNaturalNumber0(sdtasdt0(xp,sK1))
    | ~ aNaturalNumber0(xp) ),
    inference(superposition,[],[f254,f166]) ).

fof(f254,plain,
    ! [X2,X0] :
      ( sdtsldt0(sdtasdt0(X0,X2),X0) = X2
      | ~ aNaturalNumber0(X2)
      | ~ doDivides0(X0,sdtasdt0(X0,X2))
      | sz00 = X0
      | ~ aNaturalNumber0(sdtasdt0(X0,X2))
      | ~ aNaturalNumber0(X0) ),
    inference(equality_resolution,[],[f223]) ).

fof(f223,plain,
    ! [X2,X0,X1] :
      ( sdtsldt0(X1,X0) = X2
      | sdtasdt0(X0,X2) != X1
      | ~ aNaturalNumber0(X2)
      | ~ doDivides0(X0,X1)
      | sz00 = X0
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(cnf_transformation,[],[f139]) ).

fof(f139,plain,
    ! [X0,X1] :
      ( ! [X2] :
          ( ( sdtsldt0(X1,X0) = X2
            | sdtasdt0(X0,X2) != X1
            | ~ aNaturalNumber0(X2) )
          & ( ( sdtasdt0(X0,X2) = X1
              & aNaturalNumber0(X2) )
            | sdtsldt0(X1,X0) != X2 ) )
      | ~ doDivides0(X0,X1)
      | sz00 = X0
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(flattening,[],[f138]) ).

fof(f138,plain,
    ! [X0,X1] :
      ( ! [X2] :
          ( ( sdtsldt0(X1,X0) = X2
            | sdtasdt0(X0,X2) != X1
            | ~ aNaturalNumber0(X2) )
          & ( ( sdtasdt0(X0,X2) = X1
              & aNaturalNumber0(X2) )
            | sdtsldt0(X1,X0) != X2 ) )
      | ~ doDivides0(X0,X1)
      | sz00 = X0
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(nnf_transformation,[],[f94]) ).

fof(f94,plain,
    ! [X0,X1] :
      ( ! [X2] :
          ( sdtsldt0(X1,X0) = X2
        <=> ( sdtasdt0(X0,X2) = X1
            & aNaturalNumber0(X2) ) )
      | ~ doDivides0(X0,X1)
      | sz00 = X0
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(flattening,[],[f93]) ).

fof(f93,plain,
    ! [X0,X1] :
      ( ! [X2] :
          ( sdtsldt0(X1,X0) = X2
        <=> ( sdtasdt0(X0,X2) = X1
            & aNaturalNumber0(X2) ) )
      | ~ doDivides0(X0,X1)
      | sz00 = X0
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(ennf_transformation,[],[f31]) ).

fof(f31,axiom,
    ! [X0,X1] :
      ( ( aNaturalNumber0(X1)
        & aNaturalNumber0(X0) )
     => ( ( doDivides0(X0,X1)
          & sz00 != X0 )
       => ! [X2] :
            ( sdtsldt0(X1,X0) = X2
          <=> ( sdtasdt0(X0,X2) = X1
              & aNaturalNumber0(X2) ) ) ) ),
    file('/export/starexec/sandbox/tmp/tmp.R1gzRKvhh1/Vampire---4.8_28503',mDefQuot) ).

fof(f13439,plain,
    ( sdtasdt0(xm,xm) != sdtasdt0(xn,xm)
    | ~ spl8_3 ),
    inference(unit_resulting_resolution,[],[f156,f159,f156,f155,f13362,f191]) ).

fof(f159,plain,
    sz00 != xm,
    inference(cnf_transformation,[],[f40]) ).

fof(f13696,plain,
    ( sdtlseqdt0(sdtasdt0(xn,xm),sK1)
    | spl8_2
    | ~ spl8_3 ),
    inference(backward_demodulation,[],[f13489,f13641]) ).

fof(f13489,plain,
    ( sdtlseqdt0(sdtasdt0(xn,xm),sdtasdt0(xn,xq))
    | spl8_2
    | ~ spl8_3 ),
    inference(forward_demodulation,[],[f13417,f2818]) ).

fof(f13417,plain,
    ( sdtlseqdt0(sdtasdt0(xn,xm),sdtasdt0(xm,xm))
    | spl8_2
    | ~ spl8_3 ),
    inference(unit_resulting_resolution,[],[f156,f155,f156,f159,f7822,f13362,f240]) ).

fof(f1259,plain,
    aNaturalNumber0(sdtasdt0(xn,xm)),
    inference(unit_resulting_resolution,[],[f155,f156,f203]) ).

fof(f165,plain,
    aNaturalNumber0(sK1),
    inference(cnf_transformation,[],[f125]) ).

fof(f272,plain,
    ( spl8_1
    | spl8_3 ),
    inference(avatar_split_clause,[],[f148,f270,f261]) ).

fof(f148,plain,
    ! [X0] :
      ( xn != sdtpldt0(xm,X0)
      | ~ aNaturalNumber0(X0)
      | xn = xm ),
    inference(cnf_transformation,[],[f52]) ).

fof(f52,plain,
    ( ( ~ sdtlseqdt0(xm,xn)
      & ! [X0] :
          ( xn != sdtpldt0(xm,X0)
          | ~ aNaturalNumber0(X0) ) )
    | xn = xm ),
    inference(ennf_transformation,[],[f48]) ).

fof(f48,negated_conjecture,
    ~ ( ( sdtlseqdt0(xm,xn)
        | ? [X0] :
            ( xn = sdtpldt0(xm,X0)
            & aNaturalNumber0(X0) ) )
      & xn != xm ),
    inference(negated_conjecture,[],[f47]) ).

fof(f47,conjecture,
    ( ( sdtlseqdt0(xm,xn)
      | ? [X0] :
          ( xn = sdtpldt0(xm,X0)
          & aNaturalNumber0(X0) ) )
    & xn != xm ),
    file('/export/starexec/sandbox/tmp/tmp.R1gzRKvhh1/Vampire---4.8_28503',m__) ).

fof(f268,plain,
    ( spl8_1
    | ~ spl8_2 ),
    inference(avatar_split_clause,[],[f149,f265,f261]) ).

fof(f149,plain,
    ( ~ sdtlseqdt0(xm,xn)
    | xn = xm ),
    inference(cnf_transformation,[],[f52]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.16  % Problem    : NUM526+3 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.18  % Command    : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.18/0.38  % Computer : n012.cluster.edu
% 0.18/0.38  % Model    : x86_64 x86_64
% 0.18/0.38  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.38  % Memory   : 8042.1875MB
% 0.18/0.38  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.18/0.38  % CPULimit   : 300
% 0.18/0.38  % WCLimit    : 300
% 0.18/0.38  % DateTime   : Fri Aug 25 11:11:56 EDT 2023
% 0.18/0.39  % CPUTime    : 
% 0.18/0.39  This is a FOF_THM_RFO_SEQ problem
% 0.18/0.39  Running vampire_casc2023 --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/tmp/tmp.R1gzRKvhh1/Vampire---4.8_28503
% 0.18/0.39  % (28614)Running in auto input_syntax mode. Trying TPTP
% 0.18/0.45  % (28616)ott+3_2:7_add=large:amm=off:anc=all:bce=on:drc=off:fsd=off:fde=unused:gs=on:irw=on:lcm=predicate:lma=on:msp=off:nwc=10.0:sac=on_598 on Vampire---4 for (598ds/0Mi)
% 0.18/0.45  % (28615)lrs+1010_20_av=off:bd=off:bs=on:bsr=on:bce=on:flr=on:fde=none:gsp=on:nwc=3.0:tgt=ground:urr=ec_only:stl=125_1192 on Vampire---4 for (1192ds/0Mi)
% 0.18/0.45  % (28620)lrs-1010_2_av=off:bce=on:cond=on:er=filter:fde=unused:lcm=predicate:nm=2:nwc=3.0:sims=off:sp=frequency:urr=on:stl=188_520 on Vampire---4 for (520ds/0Mi)
% 0.18/0.45  % (28619)lrs-1010_20_afr=on:anc=all_dependent:bs=on:bsr=on:cond=on:er=known:fde=none:nm=4:nwc=1.3:sims=off:sp=frequency:urr=on:stl=62_533 on Vampire---4 for (533ds/0Mi)
% 0.18/0.45  % (28617)lrs+11_10:1_bs=unit_only:drc=off:fsd=off:fde=none:gs=on:msp=off:nm=16:nwc=2.0:nicw=on:sos=all:sac=on:sp=reverse_frequency:stl=62_575 on Vampire---4 for (575ds/0Mi)
% 0.18/0.45  % (28618)lrs+2_5:4_anc=none:br=off:fde=unused:gsp=on:nm=32:nwc=1.3:sims=off:sos=all:urr=on:stl=62_558 on Vampire---4 for (558ds/0Mi)
% 0.18/0.45  % (28621)ott+1010_1_aac=none:bce=on:ep=RS:fsd=off:nm=4:nwc=2.0:nicw=on:sas=z3:sims=off_453 on Vampire---4 for (453ds/0Mi)
% 60.67/9.10  % (28618)First to succeed.
% 60.67/9.13  % (28618)Refutation found. Thanks to Tanya!
% 60.67/9.13  % SZS status Theorem for Vampire---4
% 60.67/9.13  % SZS output start Proof for Vampire---4
% See solution above
% 60.67/9.13  % (28618)------------------------------
% 60.67/9.13  % (28618)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 60.67/9.13  % (28618)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 60.67/9.13  % (28618)Termination reason: Refutation
% 60.67/9.13  
% 60.67/9.13  % (28618)Memory used [KB]: 319056
% 60.67/9.13  % (28618)Time elapsed: 8.654 s
% 60.67/9.13  % (28618)------------------------------
% 60.67/9.13  % (28618)------------------------------
% 60.67/9.13  % (28614)Success in time 8.699 s
% 60.67/9.13  % Vampire---4.8 exiting
%------------------------------------------------------------------------------