TSTP Solution File: RNG071+2 by Vampire-SAT---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : RNG071+2 : TPTP v8.2.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s

% Computer : n003.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 : Tue May 21 02:41:37 EDT 2024

% Result   : Theorem 0.23s 0.48s
% Output   : Refutation 0.23s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   22
%            Number of leaves      :  115
% Syntax   : Number of formulae    :  980 ( 253 unt;   0 def)
%            Number of atoms       : 2640 ( 685 equ)
%            Maximal formula atoms :   10 (   2 avg)
%            Number of connectives : 2954 (1294   ~;1402   |; 150   &)
%                                         (  58 <=>;  50  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   13 (   4 avg)
%            Maximal term depth    :    5 (   1 avg)
%            Number of predicates  :   63 (  61 usr;  54 prp; 0-2 aty)
%            Number of functors    :   28 (  28 usr;  18 con; 0-2 aty)
%            Number of variables   :  574 ( 566   !;   8   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f2463,plain,
    $false,
    inference(avatar_sat_refutation,[],[f258,f271,f280,f318,f324,f330,f332,f492,f495,f522,f525,f682,f686,f708,f712,f843,f846,f886,f1021,f1095,f1106,f1117,f1128,f1137,f1164,f1165,f1166,f1167,f1168,f1169,f1170,f1171,f1172,f1173,f1174,f1175,f1176,f1177,f1178,f1179,f1180,f1181,f1182,f1183,f1184,f1260,f1664,f1780,f1788,f1862,f1864,f1947,f1958,f2002,f2142,f2154,f2165,f2176,f2187,f2224,f2235,f2460]) ).

fof(f2460,plain,
    ( ~ spl5_7
    | ~ spl5_13
    | ~ spl5_15
    | ~ spl5_16 ),
    inference(avatar_contradiction_clause,[],[f2459]) ).

fof(f2459,plain,
    ( $false
    | ~ spl5_7
    | ~ spl5_13
    | ~ spl5_15
    | ~ spl5_16 ),
    inference(subsumption_resolution,[],[f2458,f702]) ).

fof(f702,plain,
    ( aScalar0(sdtpldt0(xP,xP))
    | ~ spl5_15 ),
    inference(avatar_component_clause,[],[f701]) ).

fof(f701,plain,
    ( spl5_15
  <=> aScalar0(sdtpldt0(xP,xP)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl5_15])]) ).

fof(f2458,plain,
    ( ~ aScalar0(sdtpldt0(xP,xP))
    | ~ spl5_7
    | ~ spl5_13
    | ~ spl5_16 ),
    inference(subsumption_resolution,[],[f2453,f707]) ).

fof(f707,plain,
    ( sdtlseqdt0(sdtpldt0(xP,xP),sz0z00)
    | ~ spl5_16 ),
    inference(avatar_component_clause,[],[f705]) ).

fof(f705,plain,
    ( spl5_16
  <=> sdtlseqdt0(sdtpldt0(xP,xP),sz0z00) ),
    introduced(avatar_definition,[new_symbols(naming,[spl5_16])]) ).

fof(f2453,plain,
    ( ~ sdtlseqdt0(sdtpldt0(xP,xP),sz0z00)
    | ~ aScalar0(sdtpldt0(xP,xP))
    | ~ spl5_7
    | ~ spl5_13 ),
    inference(resolution,[],[f1911,f144]) ).

fof(f144,plain,
    ~ sdtlseqdt0(sdtpldt0(xP,xP),sdtpldt0(xR,xS)),
    inference(cnf_transformation,[],[f60]) ).

fof(f60,axiom,
    ~ sdtlseqdt0(sdtpldt0(xP,xP),sdtpldt0(xR,xS)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2590) ).

fof(f1911,plain,
    ( ! [X0] :
        ( sdtlseqdt0(X0,sdtpldt0(xR,xS))
        | ~ sdtlseqdt0(X0,sz0z00)
        | ~ aScalar0(X0) )
    | ~ spl5_7
    | ~ spl5_13 ),
    inference(subsumption_resolution,[],[f1910,f185]) ).

fof(f185,plain,
    aScalar0(sz0z00),
    inference(cnf_transformation,[],[f9]) ).

fof(f9,axiom,
    aScalar0(sz0z00),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSZeroSc) ).

fof(f1910,plain,
    ( ! [X0] :
        ( sdtlseqdt0(X0,sdtpldt0(xR,xS))
        | ~ sdtlseqdt0(X0,sz0z00)
        | ~ aScalar0(sz0z00)
        | ~ aScalar0(X0) )
    | ~ spl5_7
    | ~ spl5_13 ),
    inference(subsumption_resolution,[],[f1888,f676]) ).

fof(f676,plain,
    ( aScalar0(sdtpldt0(xR,xS))
    | ~ spl5_13 ),
    inference(avatar_component_clause,[],[f675]) ).

fof(f675,plain,
    ( spl5_13
  <=> aScalar0(sdtpldt0(xR,xS)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl5_13])]) ).

fof(f1888,plain,
    ( ! [X0] :
        ( sdtlseqdt0(X0,sdtpldt0(xR,xS))
        | ~ sdtlseqdt0(X0,sz0z00)
        | ~ aScalar0(sdtpldt0(xR,xS))
        | ~ aScalar0(sz0z00)
        | ~ aScalar0(X0) )
    | ~ spl5_7 ),
    inference(resolution,[],[f235,f312]) ).

fof(f312,plain,
    ( sdtlseqdt0(sz0z00,sdtpldt0(xR,xS))
    | ~ spl5_7 ),
    inference(avatar_component_clause,[],[f311]) ).

fof(f311,plain,
    ( spl5_7
  <=> sdtlseqdt0(sz0z00,sdtpldt0(xR,xS)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl5_7])]) ).

fof(f235,plain,
    ! [X2,X0,X1] :
      ( ~ sdtlseqdt0(X1,X2)
      | sdtlseqdt0(X0,X2)
      | ~ sdtlseqdt0(X0,X1)
      | ~ aScalar0(X2)
      | ~ aScalar0(X1)
      | ~ aScalar0(X0) ),
    inference(cnf_transformation,[],[f119]) ).

fof(f119,plain,
    ! [X0,X1,X2] :
      ( sdtlseqdt0(X0,X2)
      | ~ sdtlseqdt0(X1,X2)
      | ~ sdtlseqdt0(X0,X1)
      | ~ aScalar0(X2)
      | ~ aScalar0(X1)
      | ~ aScalar0(X0) ),
    inference(flattening,[],[f118]) ).

fof(f118,plain,
    ! [X0,X1,X2] :
      ( sdtlseqdt0(X0,X2)
      | ~ sdtlseqdt0(X1,X2)
      | ~ sdtlseqdt0(X0,X1)
      | ~ aScalar0(X2)
      | ~ aScalar0(X1)
      | ~ aScalar0(X0) ),
    inference(ennf_transformation,[],[f22]) ).

fof(f22,axiom,
    ! [X0,X1,X2] :
      ( ( aScalar0(X2)
        & aScalar0(X1)
        & aScalar0(X0) )
     => ( ( sdtlseqdt0(X1,X2)
          & sdtlseqdt0(X0,X1) )
       => sdtlseqdt0(X0,X2) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mLETrn) ).

fof(f2235,plain,
    ( ~ spl5_52
    | spl5_53
    | spl5_8
    | spl5_38 ),
    inference(avatar_split_clause,[],[f2127,f1995,f315,f2232,f2228]) ).

fof(f2228,plain,
    ( spl5_52
  <=> sdtlseqdt0(xN,xP) ),
    introduced(avatar_definition,[new_symbols(naming,[spl5_52])]) ).

fof(f2232,plain,
    ( spl5_53
  <=> xP = xN ),
    introduced(avatar_definition,[new_symbols(naming,[spl5_53])]) ).

fof(f315,plain,
    ( spl5_8
  <=> sdtlseqdt0(sz0z00,sdtpldt0(xP,xP)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl5_8])]) ).

fof(f1995,plain,
    ( spl5_38
  <=> sdtlseqdt0(xN,sz0z00) ),
    introduced(avatar_definition,[new_symbols(naming,[spl5_38])]) ).

fof(f2127,plain,
    ( xP = xN
    | ~ sdtlseqdt0(xN,xP)
    | spl5_8
    | spl5_38 ),
    inference(subsumption_resolution,[],[f2126,f165]) ).

fof(f165,plain,
    aScalar0(xN),
    inference(cnf_transformation,[],[f55]) ).

fof(f55,axiom,
    ( xN = sdtasdt0(xR,xS)
    & aScalar0(xN) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1949) ).

fof(f2126,plain,
    ( xP = xN
    | ~ sdtlseqdt0(xN,xP)
    | ~ aScalar0(xN)
    | spl5_8
    | spl5_38 ),
    inference(subsumption_resolution,[],[f2123,f181]) ).

fof(f181,plain,
    aScalar0(xP),
    inference(cnf_transformation,[],[f53]) ).

fof(f53,axiom,
    ( xP = sdtasdt0(xE,xH)
    & aScalar0(xP) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1911) ).

fof(f2123,plain,
    ( xP = xN
    | ~ sdtlseqdt0(xN,xP)
    | ~ aScalar0(xP)
    | ~ aScalar0(xN)
    | spl5_8
    | spl5_38 ),
    inference(resolution,[],[f2057,f225]) ).

fof(f225,plain,
    ! [X0,X1] :
      ( ~ sdtlseqdt0(X1,X0)
      | X0 = X1
      | ~ sdtlseqdt0(X0,X1)
      | ~ aScalar0(X1)
      | ~ aScalar0(X0) ),
    inference(cnf_transformation,[],[f109]) ).

fof(f109,plain,
    ! [X0,X1] :
      ( X0 = X1
      | ~ sdtlseqdt0(X1,X0)
      | ~ sdtlseqdt0(X0,X1)
      | ~ aScalar0(X1)
      | ~ aScalar0(X0) ),
    inference(flattening,[],[f108]) ).

fof(f108,plain,
    ! [X0,X1] :
      ( X0 = X1
      | ~ sdtlseqdt0(X1,X0)
      | ~ sdtlseqdt0(X0,X1)
      | ~ aScalar0(X1)
      | ~ aScalar0(X0) ),
    inference(ennf_transformation,[],[f21]) ).

fof(f21,axiom,
    ! [X0,X1] :
      ( ( aScalar0(X1)
        & aScalar0(X0) )
     => ( ( sdtlseqdt0(X1,X0)
          & sdtlseqdt0(X0,X1) )
       => X0 = X1 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mLEASm) ).

fof(f2057,plain,
    ( sdtlseqdt0(xP,xN)
    | spl5_8
    | spl5_38 ),
    inference(subsumption_resolution,[],[f2041,f165]) ).

fof(f2041,plain,
    ( sdtlseqdt0(xP,xN)
    | ~ aScalar0(xN)
    | spl5_8
    | spl5_38 ),
    inference(resolution,[],[f2029,f1997]) ).

fof(f1997,plain,
    ( ~ sdtlseqdt0(xN,sz0z00)
    | spl5_38 ),
    inference(avatar_component_clause,[],[f1995]) ).

fof(f2029,plain,
    ( ! [X0] :
        ( sdtlseqdt0(xP,X0)
        | sdtlseqdt0(X0,sz0z00)
        | ~ aScalar0(X0) )
    | spl5_8 ),
    inference(subsumption_resolution,[],[f2027,f181]) ).

fof(f2027,plain,
    ( ! [X0] :
        ( sdtlseqdt0(X0,sz0z00)
        | ~ aScalar0(X0)
        | sdtlseqdt0(xP,X0)
        | ~ aScalar0(xP) )
    | spl5_8 ),
    inference(duplicate_literal_removal,[],[f2024]) ).

fof(f2024,plain,
    ( ! [X0] :
        ( sdtlseqdt0(X0,sz0z00)
        | ~ aScalar0(X0)
        | sdtlseqdt0(xP,X0)
        | ~ aScalar0(xP)
        | ~ aScalar0(X0) )
    | spl5_8 ),
    inference(resolution,[],[f1936,f224]) ).

fof(f224,plain,
    ! [X0,X1] :
      ( sdtlseqdt0(X1,X0)
      | sdtlseqdt0(X0,X1)
      | ~ aScalar0(X1)
      | ~ aScalar0(X0) ),
    inference(cnf_transformation,[],[f107]) ).

fof(f107,plain,
    ! [X0,X1] :
      ( sdtlseqdt0(X1,X0)
      | sdtlseqdt0(X0,X1)
      | ~ aScalar0(X1)
      | ~ aScalar0(X0) ),
    inference(flattening,[],[f106]) ).

fof(f106,plain,
    ! [X0,X1] :
      ( sdtlseqdt0(X1,X0)
      | sdtlseqdt0(X0,X1)
      | ~ aScalar0(X1)
      | ~ aScalar0(X0) ),
    inference(ennf_transformation,[],[f25]) ).

fof(f25,axiom,
    ! [X0,X1] :
      ( ( aScalar0(X1)
        & aScalar0(X0) )
     => ( sdtlseqdt0(X1,X0)
        | sdtlseqdt0(X0,X1) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mLETot) ).

fof(f1936,plain,
    ( ! [X0] :
        ( ~ sdtlseqdt0(X0,xP)
        | sdtlseqdt0(X0,sz0z00)
        | ~ aScalar0(X0) )
    | spl5_8 ),
    inference(subsumption_resolution,[],[f1935,f181]) ).

fof(f1935,plain,
    ( ! [X0] :
        ( sdtlseqdt0(X0,sz0z00)
        | ~ sdtlseqdt0(X0,xP)
        | ~ aScalar0(xP)
        | ~ aScalar0(X0) )
    | spl5_8 ),
    inference(subsumption_resolution,[],[f1904,f185]) ).

fof(f1904,plain,
    ( ! [X0] :
        ( sdtlseqdt0(X0,sz0z00)
        | ~ sdtlseqdt0(X0,xP)
        | ~ aScalar0(sz0z00)
        | ~ aScalar0(xP)
        | ~ aScalar0(X0) )
    | spl5_8 ),
    inference(resolution,[],[f235,f1833]) ).

fof(f1833,plain,
    ( sdtlseqdt0(xP,sz0z00)
    | spl5_8 ),
    inference(subsumption_resolution,[],[f1832,f185]) ).

fof(f1832,plain,
    ( sdtlseqdt0(xP,sz0z00)
    | ~ aScalar0(sz0z00)
    | spl5_8 ),
    inference(subsumption_resolution,[],[f1830,f181]) ).

fof(f1830,plain,
    ( sdtlseqdt0(xP,sz0z00)
    | ~ aScalar0(xP)
    | ~ aScalar0(sz0z00)
    | spl5_8 ),
    inference(resolution,[],[f1825,f224]) ).

fof(f1825,plain,
    ( ~ sdtlseqdt0(sz0z00,xP)
    | spl5_8 ),
    inference(subsumption_resolution,[],[f1824,f181]) ).

fof(f1824,plain,
    ( ~ sdtlseqdt0(sz0z00,xP)
    | ~ aScalar0(xP)
    | spl5_8 ),
    inference(duplicate_literal_removal,[],[f1821]) ).

fof(f1821,plain,
    ( ~ sdtlseqdt0(sz0z00,xP)
    | ~ sdtlseqdt0(sz0z00,xP)
    | ~ aScalar0(xP)
    | ~ aScalar0(xP)
    | spl5_8 ),
    inference(resolution,[],[f317,f227]) ).

fof(f227,plain,
    ! [X0,X1] :
      ( sdtlseqdt0(sz0z00,sdtpldt0(X0,X1))
      | ~ sdtlseqdt0(sz0z00,X1)
      | ~ sdtlseqdt0(sz0z00,X0)
      | ~ aScalar0(X1)
      | ~ aScalar0(X0) ),
    inference(cnf_transformation,[],[f113]) ).

fof(f113,plain,
    ! [X0,X1] :
      ( ( sdtlseqdt0(sz0z00,sdtasdt0(X0,X1))
        & sdtlseqdt0(sz0z00,sdtpldt0(X0,X1)) )
      | ~ sdtlseqdt0(sz0z00,X1)
      | ~ sdtlseqdt0(sz0z00,X0)
      | ~ aScalar0(X1)
      | ~ aScalar0(X0) ),
    inference(flattening,[],[f112]) ).

fof(f112,plain,
    ! [X0,X1] :
      ( ( sdtlseqdt0(sz0z00,sdtasdt0(X0,X1))
        & sdtlseqdt0(sz0z00,sdtpldt0(X0,X1)) )
      | ~ sdtlseqdt0(sz0z00,X1)
      | ~ sdtlseqdt0(sz0z00,X0)
      | ~ aScalar0(X1)
      | ~ aScalar0(X0) ),
    inference(ennf_transformation,[],[f26]) ).

fof(f26,axiom,
    ! [X0,X1] :
      ( ( aScalar0(X1)
        & aScalar0(X0) )
     => ( ( sdtlseqdt0(sz0z00,X1)
          & sdtlseqdt0(sz0z00,X0) )
       => ( sdtlseqdt0(sz0z00,sdtasdt0(X0,X1))
          & sdtlseqdt0(sz0z00,sdtpldt0(X0,X1)) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mPosMon) ).

fof(f317,plain,
    ( ~ sdtlseqdt0(sz0z00,sdtpldt0(xP,xP))
    | spl5_8 ),
    inference(avatar_component_clause,[],[f315]) ).

fof(f2224,plain,
    ( ~ spl5_50
    | spl5_51
    | spl5_8
    | spl5_36 ),
    inference(avatar_split_clause,[],[f2121,f1951,f315,f2221,f2217]) ).

fof(f2217,plain,
    ( spl5_50
  <=> sdtlseqdt0(xS,xP) ),
    introduced(avatar_definition,[new_symbols(naming,[spl5_50])]) ).

fof(f2221,plain,
    ( spl5_51
  <=> xP = xS ),
    introduced(avatar_definition,[new_symbols(naming,[spl5_51])]) ).

fof(f1951,plain,
    ( spl5_36
  <=> sdtlseqdt0(xS,sz0z00) ),
    introduced(avatar_definition,[new_symbols(naming,[spl5_36])]) ).

fof(f2121,plain,
    ( xP = xS
    | ~ sdtlseqdt0(xS,xP)
    | spl5_8
    | spl5_36 ),
    inference(subsumption_resolution,[],[f2120,f177]) ).

fof(f177,plain,
    aScalar0(xS),
    inference(cnf_transformation,[],[f54]) ).

fof(f54,axiom,
    ( xS = sdtasdt0(xF,xD)
    & aScalar0(xS) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1930) ).

fof(f2120,plain,
    ( xP = xS
    | ~ sdtlseqdt0(xS,xP)
    | ~ aScalar0(xS)
    | spl5_8
    | spl5_36 ),
    inference(subsumption_resolution,[],[f2117,f181]) ).

fof(f2117,plain,
    ( xP = xS
    | ~ sdtlseqdt0(xS,xP)
    | ~ aScalar0(xP)
    | ~ aScalar0(xS)
    | spl5_8
    | spl5_36 ),
    inference(resolution,[],[f2056,f225]) ).

fof(f2056,plain,
    ( sdtlseqdt0(xP,xS)
    | spl5_8
    | spl5_36 ),
    inference(subsumption_resolution,[],[f2040,f177]) ).

fof(f2040,plain,
    ( sdtlseqdt0(xP,xS)
    | ~ aScalar0(xS)
    | spl5_8
    | spl5_36 ),
    inference(resolution,[],[f2029,f1953]) ).

fof(f1953,plain,
    ( ~ sdtlseqdt0(xS,sz0z00)
    | spl5_36 ),
    inference(avatar_component_clause,[],[f1951]) ).

fof(f2187,plain,
    ( ~ spl5_48
    | spl5_49
    | spl5_8
    | spl5_34 ),
    inference(avatar_split_clause,[],[f2115,f1940,f315,f2184,f2180]) ).

fof(f2180,plain,
    ( spl5_48
  <=> sdtlseqdt0(xR,xP) ),
    introduced(avatar_definition,[new_symbols(naming,[spl5_48])]) ).

fof(f2184,plain,
    ( spl5_49
  <=> xR = xP ),
    introduced(avatar_definition,[new_symbols(naming,[spl5_49])]) ).

fof(f1940,plain,
    ( spl5_34
  <=> sdtlseqdt0(xR,sz0z00) ),
    introduced(avatar_definition,[new_symbols(naming,[spl5_34])]) ).

fof(f2115,plain,
    ( xR = xP
    | ~ sdtlseqdt0(xR,xP)
    | spl5_8
    | spl5_34 ),
    inference(subsumption_resolution,[],[f2114,f179]) ).

fof(f179,plain,
    aScalar0(xR),
    inference(cnf_transformation,[],[f52]) ).

fof(f52,axiom,
    ( xR = sdtasdt0(xC,xG)
    & aScalar0(xR) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1892) ).

fof(f2114,plain,
    ( xR = xP
    | ~ sdtlseqdt0(xR,xP)
    | ~ aScalar0(xR)
    | spl5_8
    | spl5_34 ),
    inference(subsumption_resolution,[],[f2111,f181]) ).

fof(f2111,plain,
    ( xR = xP
    | ~ sdtlseqdt0(xR,xP)
    | ~ aScalar0(xP)
    | ~ aScalar0(xR)
    | spl5_8
    | spl5_34 ),
    inference(resolution,[],[f2055,f225]) ).

fof(f2055,plain,
    ( sdtlseqdt0(xP,xR)
    | spl5_8
    | spl5_34 ),
    inference(subsumption_resolution,[],[f2039,f179]) ).

fof(f2039,plain,
    ( sdtlseqdt0(xP,xR)
    | ~ aScalar0(xR)
    | spl5_8
    | spl5_34 ),
    inference(resolution,[],[f2029,f1942]) ).

fof(f1942,plain,
    ( ~ sdtlseqdt0(xR,sz0z00)
    | spl5_34 ),
    inference(avatar_component_clause,[],[f1940]) ).

fof(f2176,plain,
    ( ~ spl5_46
    | spl5_47
    | spl5_8
    | spl5_27 ),
    inference(avatar_split_clause,[],[f2109,f1121,f315,f2173,f2169]) ).

fof(f2169,plain,
    ( spl5_46
  <=> sdtlseqdt0(xG,xP) ),
    introduced(avatar_definition,[new_symbols(naming,[spl5_46])]) ).

fof(f2173,plain,
    ( spl5_47
  <=> xG = xP ),
    introduced(avatar_definition,[new_symbols(naming,[spl5_47])]) ).

fof(f1121,plain,
    ( spl5_27
  <=> sdtlseqdt0(xG,sz0z00) ),
    introduced(avatar_definition,[new_symbols(naming,[spl5_27])]) ).

fof(f2109,plain,
    ( xG = xP
    | ~ sdtlseqdt0(xG,xP)
    | spl5_8
    | spl5_27 ),
    inference(subsumption_resolution,[],[f2108,f163]) ).

fof(f163,plain,
    aScalar0(xG),
    inference(cnf_transformation,[],[f50]) ).

fof(f50,axiom,
    ( xG = sdtasdt0(xB,xB)
    & aScalar0(xG) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1854) ).

fof(f2108,plain,
    ( xG = xP
    | ~ sdtlseqdt0(xG,xP)
    | ~ aScalar0(xG)
    | spl5_8
    | spl5_27 ),
    inference(subsumption_resolution,[],[f2105,f181]) ).

fof(f2105,plain,
    ( xG = xP
    | ~ sdtlseqdt0(xG,xP)
    | ~ aScalar0(xP)
    | ~ aScalar0(xG)
    | spl5_8
    | spl5_27 ),
    inference(resolution,[],[f2054,f225]) ).

fof(f2054,plain,
    ( sdtlseqdt0(xP,xG)
    | spl5_8
    | spl5_27 ),
    inference(subsumption_resolution,[],[f2038,f163]) ).

fof(f2038,plain,
    ( sdtlseqdt0(xP,xG)
    | ~ aScalar0(xG)
    | spl5_8
    | spl5_27 ),
    inference(resolution,[],[f2029,f1123]) ).

fof(f1123,plain,
    ( ~ sdtlseqdt0(xG,sz0z00)
    | spl5_27 ),
    inference(avatar_component_clause,[],[f1121]) ).

fof(f2165,plain,
    ( ~ spl5_44
    | spl5_45
    | spl5_8
    | spl5_25 ),
    inference(avatar_split_clause,[],[f2103,f1110,f315,f2162,f2158]) ).

fof(f2158,plain,
    ( spl5_44
  <=> sdtlseqdt0(xF,xP) ),
    introduced(avatar_definition,[new_symbols(naming,[spl5_44])]) ).

fof(f2162,plain,
    ( spl5_45
  <=> xF = xP ),
    introduced(avatar_definition,[new_symbols(naming,[spl5_45])]) ).

fof(f1110,plain,
    ( spl5_25
  <=> sdtlseqdt0(xF,sz0z00) ),
    introduced(avatar_definition,[new_symbols(naming,[spl5_25])]) ).

fof(f2103,plain,
    ( xF = xP
    | ~ sdtlseqdt0(xF,xP)
    | spl5_8
    | spl5_25 ),
    inference(subsumption_resolution,[],[f2102,f159]) ).

fof(f159,plain,
    aScalar0(xF),
    inference(cnf_transformation,[],[f49]) ).

fof(f49,axiom,
    ( xF = sdtasdt0(xA,xA)
    & aScalar0(xF) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1837) ).

fof(f2102,plain,
    ( xF = xP
    | ~ sdtlseqdt0(xF,xP)
    | ~ aScalar0(xF)
    | spl5_8
    | spl5_25 ),
    inference(subsumption_resolution,[],[f2099,f181]) ).

fof(f2099,plain,
    ( xF = xP
    | ~ sdtlseqdt0(xF,xP)
    | ~ aScalar0(xP)
    | ~ aScalar0(xF)
    | spl5_8
    | spl5_25 ),
    inference(resolution,[],[f2053,f225]) ).

fof(f2053,plain,
    ( sdtlseqdt0(xP,xF)
    | spl5_8
    | spl5_25 ),
    inference(subsumption_resolution,[],[f2037,f159]) ).

fof(f2037,plain,
    ( sdtlseqdt0(xP,xF)
    | ~ aScalar0(xF)
    | spl5_8
    | spl5_25 ),
    inference(resolution,[],[f2029,f1112]) ).

fof(f1112,plain,
    ( ~ sdtlseqdt0(xF,sz0z00)
    | spl5_25 ),
    inference(avatar_component_clause,[],[f1110]) ).

fof(f2154,plain,
    ( ~ spl5_42
    | spl5_43
    | spl5_8
    | spl5_23 ),
    inference(avatar_split_clause,[],[f2097,f1099,f315,f2151,f2147]) ).

fof(f2147,plain,
    ( spl5_42
  <=> sdtlseqdt0(xD,xP) ),
    introduced(avatar_definition,[new_symbols(naming,[spl5_42])]) ).

fof(f2151,plain,
    ( spl5_43
  <=> xD = xP ),
    introduced(avatar_definition,[new_symbols(naming,[spl5_43])]) ).

fof(f1099,plain,
    ( spl5_23
  <=> sdtlseqdt0(xD,sz0z00) ),
    introduced(avatar_definition,[new_symbols(naming,[spl5_23])]) ).

fof(f2097,plain,
    ( xD = xP
    | ~ sdtlseqdt0(xD,xP)
    | spl5_8
    | spl5_23 ),
    inference(subsumption_resolution,[],[f2096,f169]) ).

fof(f169,plain,
    aScalar0(xD),
    inference(cnf_transformation,[],[f47]) ).

fof(f47,axiom,
    ( xD = sdtasasdt0(xq,xq)
    & aScalar0(xD) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1800) ).

fof(f2096,plain,
    ( xD = xP
    | ~ sdtlseqdt0(xD,xP)
    | ~ aScalar0(xD)
    | spl5_8
    | spl5_23 ),
    inference(subsumption_resolution,[],[f2093,f181]) ).

fof(f2093,plain,
    ( xD = xP
    | ~ sdtlseqdt0(xD,xP)
    | ~ aScalar0(xP)
    | ~ aScalar0(xD)
    | spl5_8
    | spl5_23 ),
    inference(resolution,[],[f2052,f225]) ).

fof(f2052,plain,
    ( sdtlseqdt0(xP,xD)
    | spl5_8
    | spl5_23 ),
    inference(subsumption_resolution,[],[f2036,f169]) ).

fof(f2036,plain,
    ( sdtlseqdt0(xP,xD)
    | ~ aScalar0(xD)
    | spl5_8
    | spl5_23 ),
    inference(resolution,[],[f2029,f1101]) ).

fof(f1101,plain,
    ( ~ sdtlseqdt0(xD,sz0z00)
    | spl5_23 ),
    inference(avatar_component_clause,[],[f1099]) ).

fof(f2142,plain,
    ( ~ spl5_40
    | spl5_41
    | spl5_8
    | spl5_21 ),
    inference(avatar_split_clause,[],[f2091,f1088,f315,f2139,f2135]) ).

fof(f2135,plain,
    ( spl5_40
  <=> sdtlseqdt0(xC,xP) ),
    introduced(avatar_definition,[new_symbols(naming,[spl5_40])]) ).

fof(f2139,plain,
    ( spl5_41
  <=> xC = xP ),
    introduced(avatar_definition,[new_symbols(naming,[spl5_41])]) ).

fof(f1088,plain,
    ( spl5_21
  <=> sdtlseqdt0(xC,sz0z00) ),
    introduced(avatar_definition,[new_symbols(naming,[spl5_21])]) ).

fof(f2091,plain,
    ( xC = xP
    | ~ sdtlseqdt0(xC,xP)
    | spl5_8
    | spl5_21 ),
    inference(subsumption_resolution,[],[f2090,f167]) ).

fof(f167,plain,
    aScalar0(xC),
    inference(cnf_transformation,[],[f46]) ).

fof(f46,axiom,
    ( xC = sdtasasdt0(xp,xp)
    & aScalar0(xC) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1783) ).

fof(f2090,plain,
    ( xC = xP
    | ~ sdtlseqdt0(xC,xP)
    | ~ aScalar0(xC)
    | spl5_8
    | spl5_21 ),
    inference(subsumption_resolution,[],[f2087,f181]) ).

fof(f2087,plain,
    ( xC = xP
    | ~ sdtlseqdt0(xC,xP)
    | ~ aScalar0(xP)
    | ~ aScalar0(xC)
    | spl5_8
    | spl5_21 ),
    inference(resolution,[],[f2051,f225]) ).

fof(f2051,plain,
    ( sdtlseqdt0(xP,xC)
    | spl5_8
    | spl5_21 ),
    inference(subsumption_resolution,[],[f2035,f167]) ).

fof(f2035,plain,
    ( sdtlseqdt0(xP,xC)
    | ~ aScalar0(xC)
    | spl5_8
    | spl5_21 ),
    inference(resolution,[],[f2029,f1090]) ).

fof(f1090,plain,
    ( ~ sdtlseqdt0(xC,sz0z00)
    | spl5_21 ),
    inference(avatar_component_clause,[],[f1088]) ).

fof(f2002,plain,
    ( ~ spl5_38
    | spl5_39
    | ~ spl5_33 ),
    inference(avatar_split_clause,[],[f1993,f1661,f1999,f1995]) ).

fof(f1999,plain,
    ( spl5_39
  <=> sz0z00 = xN ),
    introduced(avatar_definition,[new_symbols(naming,[spl5_39])]) ).

fof(f1661,plain,
    ( spl5_33
  <=> sdtlseqdt0(sz0z00,xS) ),
    introduced(avatar_definition,[new_symbols(naming,[spl5_33])]) ).

fof(f1993,plain,
    ( sz0z00 = xN
    | ~ sdtlseqdt0(xN,sz0z00)
    | ~ spl5_33 ),
    inference(subsumption_resolution,[],[f1992,f165]) ).

fof(f1992,plain,
    ( sz0z00 = xN
    | ~ sdtlseqdt0(xN,sz0z00)
    | ~ aScalar0(xN)
    | ~ spl5_33 ),
    inference(subsumption_resolution,[],[f1989,f185]) ).

fof(f1989,plain,
    ( sz0z00 = xN
    | ~ sdtlseqdt0(xN,sz0z00)
    | ~ aScalar0(sz0z00)
    | ~ aScalar0(xN)
    | ~ spl5_33 ),
    inference(resolution,[],[f1987,f225]) ).

fof(f1987,plain,
    ( sdtlseqdt0(sz0z00,xN)
    | ~ spl5_33 ),
    inference(subsumption_resolution,[],[f1806,f1662]) ).

fof(f1662,plain,
    ( sdtlseqdt0(sz0z00,xS)
    | ~ spl5_33 ),
    inference(avatar_component_clause,[],[f1661]) ).

fof(f1806,plain,
    ( sdtlseqdt0(sz0z00,xN)
    | ~ sdtlseqdt0(sz0z00,xS) ),
    inference(global_subsumption,[],[f150,f174,f183,f197,f216,f217,f218,f240,f226,f231,f229,f234,f233,f235,f236,f237,f238,f149,f153,f157,f158,f159,f161,f163,f165,f167,f169,f171,f173,f175,f177,f179,f181,f184,f185,f141,f152,f156,f210,f142,f143,f160,f162,f164,f166,f168,f170,f172,f178,f180,f182,f187,f189,f242,f193,f199,f200,f154,f176,f243,f245,f186,f188,f209,f239,f261,f262,f260,f144,f145,f146,f190,f285,f286,f201,f289,f290,f202,f203,f204,f205,f208,f291,f140,f298,f299,f300,f301,f302,f303,f304,f305,f306,f198,f307,f308,f309,f296,f292,f336,f206,f337,f338,f339,f340,f341,f342,f343,f344,f345,f346,f347,f207,f293,f352,f353,f354,f355,f356,f357,f358,f359,f360,f361,f211,f362,f363,f350,f294,f367,f368,f369,f370,f371,f372,f373,f214,f379,f380,f381,f382,f374,f375,f376,f377,f378,f295,f386,f387,f388,f389,f390,f391,f392,f219,f406,f407,f408,f409,f410,f393,f394,f395,f396,f397,f398,f399,f220,f444,f445,f446,f447,f448,f247,f151,f497,f498,f501,f502,f496,f506,f507,f510,f511,f508,f509,f248,f348,f528,f529,f530,f531,f532,f155,f547,f548,f552,f533,f534,f535,f536,f537,f538,f539,f540,f541,f542,f543,f192,f544,f553,f546,f573,f574,f575,f578,f579,f576,f577,f349,f583,f584,f585,f586,f587,f588,f589,f590,f591,f592,f194,f593,f594,f595,f596,f597,f598,f599,f600,f351,f619,f620,f621,f622,f625,f626,f212,f642,f646,f627,f628,f629,f630,f631,f632,f633,f634,f635,f636,f648,f660,f224,f195,f735,f366,f746,f749,f750,f751,f754,f755,f756,f213,f772,f775,f757,f758,f759,f760,f761,f762,f763,f764,f765,f215,f797,f798,f796,f799,f800,f801,f802,f803,f804,f805,f806,f807,f623,f624,f752,f753,f606,f814,f647,f821,f822,f826,f820,f829,f830,f831,f832,f833,f221,f852,f855,f856,f857,f858,f859,f860,f861,f862,f863,f864,f865,f866,f867,f868,f869,f870,f871,f872,f834,f222,f923,f926,f927,f928,f929,f932,f933,f934,f935,f936,f937,f938,f939,f940,f941,f942,f943,f944,f945,f823,f981,f982,f983,f984,f985,f223,f987,f988,f991,f992,f993,f994,f997,f1000,f1001,f1002,f1003,f1004,f1005,f1006,f1007,f1008,f1009,f1010,f1011,f1012,f986,f297,f1024,f1027,f1028,f1029,f1030,f1033,f1036,f1037,f1038,f1039,f1040,f1041,f1042,f1043,f225,f1075,f1077,f1086,f1070,f1079,f1081,f1083,f1085,f230,f1044,f1045,f1046,f1047,f1048,f335,f1193,f1196,f1197,f1198,f1199,f1202,f1205,f1206,f1207,f1208,f1209,f1210,f1211,f1212,f1213,f1214,f1215,f1216,f1217,f232,f147,f1361,f148,f1399,f196,f1440,f1441,f1442,f227,f1619,f1624,f1625,f1627,f1629,f1630,f1632,f1634,f1635,f1636,f1637,f1638,f1639,f1640,f1641,f1643,f1645,f1646,f1648,f1650,f1651,f1652,f1653,f1654,f1655,f228,f1772,f1774,f1782,f1803,f1805]) ).

fof(f1805,plain,
    ( sdtlseqdt0(sz0z00,xN)
    | ~ sdtlseqdt0(sz0z00,xS)
    | ~ sdtlseqdt0(sz0z00,xR) ),
    inference(subsumption_resolution,[],[f1804,f179]) ).

fof(f1804,plain,
    ( sdtlseqdt0(sz0z00,xN)
    | ~ sdtlseqdt0(sz0z00,xS)
    | ~ sdtlseqdt0(sz0z00,xR)
    | ~ aScalar0(xR) ),
    inference(subsumption_resolution,[],[f1763,f177]) ).

fof(f1763,plain,
    ( sdtlseqdt0(sz0z00,xN)
    | ~ sdtlseqdt0(sz0z00,xS)
    | ~ sdtlseqdt0(sz0z00,xR)
    | ~ aScalar0(xS)
    | ~ aScalar0(xR) ),
    inference(superposition,[],[f228,f166]) ).

fof(f1803,plain,
    sdtlseqdt0(sz0z00,xR),
    inference(subsumption_resolution,[],[f1802,f167]) ).

fof(f1802,plain,
    ( sdtlseqdt0(sz0z00,xR)
    | ~ aScalar0(xC) ),
    inference(subsumption_resolution,[],[f1801,f163]) ).

fof(f1801,plain,
    ( sdtlseqdt0(sz0z00,xR)
    | ~ aScalar0(xG)
    | ~ aScalar0(xC) ),
    inference(subsumption_resolution,[],[f1800,f285]) ).

fof(f1800,plain,
    ( sdtlseqdt0(sz0z00,xR)
    | ~ sdtlseqdt0(sz0z00,xC)
    | ~ aScalar0(xG)
    | ~ aScalar0(xC) ),
    inference(subsumption_resolution,[],[f1754,f290]) ).

fof(f1754,plain,
    ( sdtlseqdt0(sz0z00,xR)
    | ~ sdtlseqdt0(sz0z00,xG)
    | ~ sdtlseqdt0(sz0z00,xC)
    | ~ aScalar0(xG)
    | ~ aScalar0(xC) ),
    inference(superposition,[],[f228,f180]) ).

fof(f1782,plain,
    ( sdtlseqdt0(sz0z00,xP)
    | ~ sdtlseqdt0(sz0z00,xH)
    | ~ sdtlseqdt0(sz0z00,xE) ),
    inference(subsumption_resolution,[],[f1781,f171]) ).

fof(f1781,plain,
    ( sdtlseqdt0(sz0z00,xP)
    | ~ sdtlseqdt0(sz0z00,xH)
    | ~ sdtlseqdt0(sz0z00,xE)
    | ~ aScalar0(xE) ),
    inference(subsumption_resolution,[],[f1757,f161]) ).

fof(f1757,plain,
    ( sdtlseqdt0(sz0z00,xP)
    | ~ sdtlseqdt0(sz0z00,xH)
    | ~ sdtlseqdt0(sz0z00,xE)
    | ~ aScalar0(xH)
    | ~ aScalar0(xE) ),
    inference(superposition,[],[f228,f182]) ).

fof(f1774,plain,
    ( sdtlseqdt0(sz0z00,xH)
    | ~ sdtlseqdt0(sz0z00,xB)
    | ~ sdtlseqdt0(sz0z00,xA) ),
    inference(subsumption_resolution,[],[f1773,f175]) ).

fof(f1773,plain,
    ( sdtlseqdt0(sz0z00,xH)
    | ~ sdtlseqdt0(sz0z00,xB)
    | ~ sdtlseqdt0(sz0z00,xA)
    | ~ aScalar0(xA) ),
    inference(subsumption_resolution,[],[f1750,f173]) ).

fof(f1750,plain,
    ( sdtlseqdt0(sz0z00,xH)
    | ~ sdtlseqdt0(sz0z00,xB)
    | ~ sdtlseqdt0(sz0z00,xA)
    | ~ aScalar0(xB)
    | ~ aScalar0(xA) ),
    inference(superposition,[],[f228,f162]) ).

fof(f1772,plain,
    ! [X0,X1] :
      ( ~ sdtlseqdt0(sz0z00,X0)
      | ~ sdtlseqdt0(sz0z00,X1)
      | ~ aScalar0(X0)
      | ~ aScalar0(X1)
      | sz0z00 = sdtasdt0(X1,X0)
      | ~ sdtlseqdt0(sdtasdt0(X1,X0),sz0z00) ),
    inference(subsumption_resolution,[],[f1771,f220]) ).

fof(f1771,plain,
    ! [X0,X1] :
      ( ~ sdtlseqdt0(sz0z00,X0)
      | ~ sdtlseqdt0(sz0z00,X1)
      | ~ aScalar0(X0)
      | ~ aScalar0(X1)
      | sz0z00 = sdtasdt0(X1,X0)
      | ~ sdtlseqdt0(sdtasdt0(X1,X0),sz0z00)
      | ~ aScalar0(sdtasdt0(X1,X0)) ),
    inference(subsumption_resolution,[],[f1687,f185]) ).

fof(f1687,plain,
    ! [X0,X1] :
      ( ~ sdtlseqdt0(sz0z00,X0)
      | ~ sdtlseqdt0(sz0z00,X1)
      | ~ aScalar0(X0)
      | ~ aScalar0(X1)
      | sz0z00 = sdtasdt0(X1,X0)
      | ~ sdtlseqdt0(sdtasdt0(X1,X0),sz0z00)
      | ~ aScalar0(sz0z00)
      | ~ aScalar0(sdtasdt0(X1,X0)) ),
    inference(resolution,[],[f228,f225]) ).

fof(f228,plain,
    ! [X0,X1] :
      ( sdtlseqdt0(sz0z00,sdtasdt0(X0,X1))
      | ~ sdtlseqdt0(sz0z00,X1)
      | ~ sdtlseqdt0(sz0z00,X0)
      | ~ aScalar0(X1)
      | ~ aScalar0(X0) ),
    inference(cnf_transformation,[],[f113]) ).

fof(f1655,plain,
    ( sdtlseqdt0(sz0z00,sz0z00)
    | ~ sdtlseqdt0(sz0z00,xN)
    | ~ sdtlseqdt0(sz0z00,smndt0(xN))
    | ~ aScalar0(smndt0(xN)) ),
    inference(subsumption_resolution,[],[f1614,f165]) ).

fof(f1614,plain,
    ( sdtlseqdt0(sz0z00,sz0z00)
    | ~ sdtlseqdt0(sz0z00,xN)
    | ~ sdtlseqdt0(sz0z00,smndt0(xN))
    | ~ aScalar0(xN)
    | ~ aScalar0(smndt0(xN)) ),
    inference(superposition,[],[f227,f600]) ).

fof(f1654,plain,
    ( sdtlseqdt0(sz0z00,sz0z00)
    | ~ sdtlseqdt0(sz0z00,xS)
    | ~ sdtlseqdt0(sz0z00,smndt0(xS))
    | ~ aScalar0(smndt0(xS)) ),
    inference(subsumption_resolution,[],[f1612,f177]) ).

fof(f1612,plain,
    ( sdtlseqdt0(sz0z00,sz0z00)
    | ~ sdtlseqdt0(sz0z00,xS)
    | ~ sdtlseqdt0(sz0z00,smndt0(xS))
    | ~ aScalar0(xS)
    | ~ aScalar0(smndt0(xS)) ),
    inference(superposition,[],[f227,f599]) ).

fof(f1653,plain,
    ( sdtlseqdt0(sz0z00,sz0z00)
    | ~ sdtlseqdt0(sz0z00,xP)
    | ~ sdtlseqdt0(sz0z00,smndt0(xP))
    | ~ aScalar0(smndt0(xP)) ),
    inference(subsumption_resolution,[],[f1610,f181]) ).

fof(f1610,plain,
    ( sdtlseqdt0(sz0z00,sz0z00)
    | ~ sdtlseqdt0(sz0z00,xP)
    | ~ sdtlseqdt0(sz0z00,smndt0(xP))
    | ~ aScalar0(xP)
    | ~ aScalar0(smndt0(xP)) ),
    inference(superposition,[],[f227,f598]) ).

fof(f1652,plain,
    ( sdtlseqdt0(sz0z00,sz0z00)
    | ~ sdtlseqdt0(sz0z00,xR)
    | ~ sdtlseqdt0(sz0z00,smndt0(xR))
    | ~ aScalar0(smndt0(xR)) ),
    inference(subsumption_resolution,[],[f1608,f179]) ).

fof(f1608,plain,
    ( sdtlseqdt0(sz0z00,sz0z00)
    | ~ sdtlseqdt0(sz0z00,xR)
    | ~ sdtlseqdt0(sz0z00,smndt0(xR))
    | ~ aScalar0(xR)
    | ~ aScalar0(smndt0(xR)) ),
    inference(superposition,[],[f227,f597]) ).

fof(f1651,plain,
    ( sdtlseqdt0(sz0z00,sz0z00)
    | ~ sdtlseqdt0(sz0z00,xH)
    | ~ sdtlseqdt0(sz0z00,smndt0(xH))
    | ~ aScalar0(smndt0(xH)) ),
    inference(subsumption_resolution,[],[f1606,f161]) ).

fof(f1606,plain,
    ( sdtlseqdt0(sz0z00,sz0z00)
    | ~ sdtlseqdt0(sz0z00,xH)
    | ~ sdtlseqdt0(sz0z00,smndt0(xH))
    | ~ aScalar0(xH)
    | ~ aScalar0(smndt0(xH)) ),
    inference(superposition,[],[f227,f596]) ).

fof(f1650,plain,
    ( sdtlseqdt0(sz0z00,sz0z00)
    | ~ sdtlseqdt0(sz0z00,smndt0(xG))
    | ~ aScalar0(smndt0(xG)) ),
    inference(subsumption_resolution,[],[f1649,f163]) ).

fof(f1649,plain,
    ( sdtlseqdt0(sz0z00,sz0z00)
    | ~ sdtlseqdt0(sz0z00,smndt0(xG))
    | ~ aScalar0(xG)
    | ~ aScalar0(smndt0(xG)) ),
    inference(subsumption_resolution,[],[f1604,f290]) ).

fof(f1604,plain,
    ( sdtlseqdt0(sz0z00,sz0z00)
    | ~ sdtlseqdt0(sz0z00,xG)
    | ~ sdtlseqdt0(sz0z00,smndt0(xG))
    | ~ aScalar0(xG)
    | ~ aScalar0(smndt0(xG)) ),
    inference(superposition,[],[f227,f595]) ).

fof(f1648,plain,
    ( sdtlseqdt0(sz0z00,sz0z00)
    | ~ sdtlseqdt0(sz0z00,smndt0(xF))
    | ~ aScalar0(smndt0(xF)) ),
    inference(subsumption_resolution,[],[f1647,f159]) ).

fof(f1647,plain,
    ( sdtlseqdt0(sz0z00,sz0z00)
    | ~ sdtlseqdt0(sz0z00,smndt0(xF))
    | ~ aScalar0(xF)
    | ~ aScalar0(smndt0(xF)) ),
    inference(subsumption_resolution,[],[f1602,f289]) ).

fof(f1602,plain,
    ( sdtlseqdt0(sz0z00,sz0z00)
    | ~ sdtlseqdt0(sz0z00,xF)
    | ~ sdtlseqdt0(sz0z00,smndt0(xF))
    | ~ aScalar0(xF)
    | ~ aScalar0(smndt0(xF)) ),
    inference(superposition,[],[f227,f594]) ).

fof(f1646,plain,
    ( sdtlseqdt0(sz0z00,sz0z00)
    | ~ sdtlseqdt0(sz0z00,xE)
    | ~ sdtlseqdt0(sz0z00,smndt0(xE))
    | ~ aScalar0(smndt0(xE)) ),
    inference(subsumption_resolution,[],[f1598,f171]) ).

fof(f1598,plain,
    ( sdtlseqdt0(sz0z00,sz0z00)
    | ~ sdtlseqdt0(sz0z00,xE)
    | ~ sdtlseqdt0(sz0z00,smndt0(xE))
    | ~ aScalar0(xE)
    | ~ aScalar0(smndt0(xE)) ),
    inference(superposition,[],[f227,f593]) ).

fof(f1645,plain,
    ( sdtlseqdt0(sz0z00,sz0z00)
    | ~ sdtlseqdt0(sz0z00,smndt0(xD))
    | ~ aScalar0(smndt0(xD)) ),
    inference(subsumption_resolution,[],[f1644,f169]) ).

fof(f1644,plain,
    ( sdtlseqdt0(sz0z00,sz0z00)
    | ~ sdtlseqdt0(sz0z00,smndt0(xD))
    | ~ aScalar0(xD)
    | ~ aScalar0(smndt0(xD)) ),
    inference(subsumption_resolution,[],[f1588,f286]) ).

fof(f1588,plain,
    ( sdtlseqdt0(sz0z00,sz0z00)
    | ~ sdtlseqdt0(sz0z00,xD)
    | ~ sdtlseqdt0(sz0z00,smndt0(xD))
    | ~ aScalar0(xD)
    | ~ aScalar0(smndt0(xD)) ),
    inference(superposition,[],[f227,f592]) ).

fof(f1643,plain,
    ( sdtlseqdt0(sz0z00,sz0z00)
    | ~ sdtlseqdt0(sz0z00,smndt0(xC))
    | ~ aScalar0(smndt0(xC)) ),
    inference(subsumption_resolution,[],[f1642,f167]) ).

fof(f1642,plain,
    ( sdtlseqdt0(sz0z00,sz0z00)
    | ~ sdtlseqdt0(sz0z00,smndt0(xC))
    | ~ aScalar0(xC)
    | ~ aScalar0(smndt0(xC)) ),
    inference(subsumption_resolution,[],[f1575,f285]) ).

fof(f1575,plain,
    ( sdtlseqdt0(sz0z00,sz0z00)
    | ~ sdtlseqdt0(sz0z00,xC)
    | ~ sdtlseqdt0(sz0z00,smndt0(xC))
    | ~ aScalar0(xC)
    | ~ aScalar0(smndt0(xC)) ),
    inference(superposition,[],[f227,f591]) ).

fof(f1641,plain,
    ( sdtlseqdt0(sz0z00,sz0z00)
    | ~ sdtlseqdt0(sz0z00,xB)
    | ~ sdtlseqdt0(sz0z00,smndt0(xB))
    | ~ aScalar0(smndt0(xB)) ),
    inference(subsumption_resolution,[],[f1561,f173]) ).

fof(f1561,plain,
    ( sdtlseqdt0(sz0z00,sz0z00)
    | ~ sdtlseqdt0(sz0z00,xB)
    | ~ sdtlseqdt0(sz0z00,smndt0(xB))
    | ~ aScalar0(xB)
    | ~ aScalar0(smndt0(xB)) ),
    inference(superposition,[],[f227,f590]) ).

fof(f1640,plain,
    ( sdtlseqdt0(sz0z00,sz0z00)
    | ~ sdtlseqdt0(sz0z00,xA)
    | ~ sdtlseqdt0(sz0z00,smndt0(xA))
    | ~ aScalar0(smndt0(xA)) ),
    inference(subsumption_resolution,[],[f1546,f175]) ).

fof(f1546,plain,
    ( sdtlseqdt0(sz0z00,sz0z00)
    | ~ sdtlseqdt0(sz0z00,xA)
    | ~ sdtlseqdt0(sz0z00,smndt0(xA))
    | ~ aScalar0(xA)
    | ~ aScalar0(smndt0(xA)) ),
    inference(superposition,[],[f227,f589]) ).

fof(f1639,plain,
    ( sdtlseqdt0(sz0z00,sz0z00)
    | ~ sdtlseqdt0(sz0z00,smndt0(xN))
    | ~ sdtlseqdt0(sz0z00,xN)
    | ~ aScalar0(smndt0(xN)) ),
    inference(subsumption_resolution,[],[f1542,f165]) ).

fof(f1542,plain,
    ( sdtlseqdt0(sz0z00,sz0z00)
    | ~ sdtlseqdt0(sz0z00,smndt0(xN))
    | ~ sdtlseqdt0(sz0z00,xN)
    | ~ aScalar0(smndt0(xN))
    | ~ aScalar0(xN) ),
    inference(superposition,[],[f227,f544]) ).

fof(f1638,plain,
    ( sdtlseqdt0(sz0z00,sz0z00)
    | ~ sdtlseqdt0(sz0z00,smndt0(xS))
    | ~ sdtlseqdt0(sz0z00,xS)
    | ~ aScalar0(smndt0(xS)) ),
    inference(subsumption_resolution,[],[f1541,f177]) ).

fof(f1541,plain,
    ( sdtlseqdt0(sz0z00,sz0z00)
    | ~ sdtlseqdt0(sz0z00,smndt0(xS))
    | ~ sdtlseqdt0(sz0z00,xS)
    | ~ aScalar0(smndt0(xS))
    | ~ aScalar0(xS) ),
    inference(superposition,[],[f227,f543]) ).

fof(f1637,plain,
    ( sdtlseqdt0(sz0z00,sz0z00)
    | ~ sdtlseqdt0(sz0z00,smndt0(xP))
    | ~ sdtlseqdt0(sz0z00,xP)
    | ~ aScalar0(smndt0(xP)) ),
    inference(subsumption_resolution,[],[f1540,f181]) ).

fof(f1540,plain,
    ( sdtlseqdt0(sz0z00,sz0z00)
    | ~ sdtlseqdt0(sz0z00,smndt0(xP))
    | ~ sdtlseqdt0(sz0z00,xP)
    | ~ aScalar0(smndt0(xP))
    | ~ aScalar0(xP) ),
    inference(superposition,[],[f227,f542]) ).

fof(f1636,plain,
    ( sdtlseqdt0(sz0z00,sz0z00)
    | ~ sdtlseqdt0(sz0z00,smndt0(xR))
    | ~ sdtlseqdt0(sz0z00,xR)
    | ~ aScalar0(smndt0(xR)) ),
    inference(subsumption_resolution,[],[f1539,f179]) ).

fof(f1539,plain,
    ( sdtlseqdt0(sz0z00,sz0z00)
    | ~ sdtlseqdt0(sz0z00,smndt0(xR))
    | ~ sdtlseqdt0(sz0z00,xR)
    | ~ aScalar0(smndt0(xR))
    | ~ aScalar0(xR) ),
    inference(superposition,[],[f227,f541]) ).

fof(f1635,plain,
    ( sdtlseqdt0(sz0z00,sz0z00)
    | ~ sdtlseqdt0(sz0z00,smndt0(xH))
    | ~ sdtlseqdt0(sz0z00,xH)
    | ~ aScalar0(smndt0(xH)) ),
    inference(subsumption_resolution,[],[f1538,f161]) ).

fof(f1538,plain,
    ( sdtlseqdt0(sz0z00,sz0z00)
    | ~ sdtlseqdt0(sz0z00,smndt0(xH))
    | ~ sdtlseqdt0(sz0z00,xH)
    | ~ aScalar0(smndt0(xH))
    | ~ aScalar0(xH) ),
    inference(superposition,[],[f227,f540]) ).

fof(f1634,plain,
    ( sdtlseqdt0(sz0z00,sz0z00)
    | ~ sdtlseqdt0(sz0z00,smndt0(xG))
    | ~ aScalar0(smndt0(xG)) ),
    inference(subsumption_resolution,[],[f1633,f163]) ).

fof(f1633,plain,
    ( sdtlseqdt0(sz0z00,sz0z00)
    | ~ sdtlseqdt0(sz0z00,smndt0(xG))
    | ~ aScalar0(smndt0(xG))
    | ~ aScalar0(xG) ),
    inference(subsumption_resolution,[],[f1537,f290]) ).

fof(f1537,plain,
    ( sdtlseqdt0(sz0z00,sz0z00)
    | ~ sdtlseqdt0(sz0z00,smndt0(xG))
    | ~ sdtlseqdt0(sz0z00,xG)
    | ~ aScalar0(smndt0(xG))
    | ~ aScalar0(xG) ),
    inference(superposition,[],[f227,f539]) ).

fof(f1632,plain,
    ( sdtlseqdt0(sz0z00,sz0z00)
    | ~ sdtlseqdt0(sz0z00,smndt0(xF))
    | ~ aScalar0(smndt0(xF)) ),
    inference(subsumption_resolution,[],[f1631,f159]) ).

fof(f1631,plain,
    ( sdtlseqdt0(sz0z00,sz0z00)
    | ~ sdtlseqdt0(sz0z00,smndt0(xF))
    | ~ aScalar0(smndt0(xF))
    | ~ aScalar0(xF) ),
    inference(subsumption_resolution,[],[f1536,f289]) ).

fof(f1536,plain,
    ( sdtlseqdt0(sz0z00,sz0z00)
    | ~ sdtlseqdt0(sz0z00,smndt0(xF))
    | ~ sdtlseqdt0(sz0z00,xF)
    | ~ aScalar0(smndt0(xF))
    | ~ aScalar0(xF) ),
    inference(superposition,[],[f227,f538]) ).

fof(f1630,plain,
    ( sdtlseqdt0(sz0z00,sz0z00)
    | ~ sdtlseqdt0(sz0z00,smndt0(xE))
    | ~ sdtlseqdt0(sz0z00,xE)
    | ~ aScalar0(smndt0(xE)) ),
    inference(subsumption_resolution,[],[f1535,f171]) ).

fof(f1535,plain,
    ( sdtlseqdt0(sz0z00,sz0z00)
    | ~ sdtlseqdt0(sz0z00,smndt0(xE))
    | ~ sdtlseqdt0(sz0z00,xE)
    | ~ aScalar0(smndt0(xE))
    | ~ aScalar0(xE) ),
    inference(superposition,[],[f227,f537]) ).

fof(f1629,plain,
    ( sdtlseqdt0(sz0z00,sz0z00)
    | ~ sdtlseqdt0(sz0z00,smndt0(xD))
    | ~ aScalar0(smndt0(xD)) ),
    inference(subsumption_resolution,[],[f1628,f169]) ).

fof(f1628,plain,
    ( sdtlseqdt0(sz0z00,sz0z00)
    | ~ sdtlseqdt0(sz0z00,smndt0(xD))
    | ~ aScalar0(smndt0(xD))
    | ~ aScalar0(xD) ),
    inference(subsumption_resolution,[],[f1534,f286]) ).

fof(f1534,plain,
    ( sdtlseqdt0(sz0z00,sz0z00)
    | ~ sdtlseqdt0(sz0z00,smndt0(xD))
    | ~ sdtlseqdt0(sz0z00,xD)
    | ~ aScalar0(smndt0(xD))
    | ~ aScalar0(xD) ),
    inference(superposition,[],[f227,f536]) ).

fof(f1627,plain,
    ( sdtlseqdt0(sz0z00,sz0z00)
    | ~ sdtlseqdt0(sz0z00,smndt0(xC))
    | ~ aScalar0(smndt0(xC)) ),
    inference(subsumption_resolution,[],[f1626,f167]) ).

fof(f1626,plain,
    ( sdtlseqdt0(sz0z00,sz0z00)
    | ~ sdtlseqdt0(sz0z00,smndt0(xC))
    | ~ aScalar0(smndt0(xC))
    | ~ aScalar0(xC) ),
    inference(subsumption_resolution,[],[f1533,f285]) ).

fof(f1533,plain,
    ( sdtlseqdt0(sz0z00,sz0z00)
    | ~ sdtlseqdt0(sz0z00,smndt0(xC))
    | ~ sdtlseqdt0(sz0z00,xC)
    | ~ aScalar0(smndt0(xC))
    | ~ aScalar0(xC) ),
    inference(superposition,[],[f227,f535]) ).

fof(f1625,plain,
    ( sdtlseqdt0(sz0z00,sz0z00)
    | ~ sdtlseqdt0(sz0z00,smndt0(xB))
    | ~ sdtlseqdt0(sz0z00,xB)
    | ~ aScalar0(smndt0(xB)) ),
    inference(subsumption_resolution,[],[f1532,f173]) ).

fof(f1532,plain,
    ( sdtlseqdt0(sz0z00,sz0z00)
    | ~ sdtlseqdt0(sz0z00,smndt0(xB))
    | ~ sdtlseqdt0(sz0z00,xB)
    | ~ aScalar0(smndt0(xB))
    | ~ aScalar0(xB) ),
    inference(superposition,[],[f227,f534]) ).

fof(f1624,plain,
    ( sdtlseqdt0(sz0z00,sz0z00)
    | ~ sdtlseqdt0(sz0z00,smndt0(xA))
    | ~ sdtlseqdt0(sz0z00,xA)
    | ~ aScalar0(smndt0(xA)) ),
    inference(subsumption_resolution,[],[f1531,f175]) ).

fof(f1531,plain,
    ( sdtlseqdt0(sz0z00,sz0z00)
    | ~ sdtlseqdt0(sz0z00,smndt0(xA))
    | ~ sdtlseqdt0(sz0z00,xA)
    | ~ aScalar0(smndt0(xA))
    | ~ aScalar0(xA) ),
    inference(superposition,[],[f227,f533]) ).

fof(f1619,plain,
    ! [X0,X1] :
      ( ~ sdtlseqdt0(sz0z00,X0)
      | ~ sdtlseqdt0(sz0z00,X1)
      | ~ aScalar0(X0)
      | ~ aScalar0(X1)
      | sz0z00 = sdtpldt0(X1,X0)
      | ~ sdtlseqdt0(sdtpldt0(X1,X0),sz0z00) ),
    inference(subsumption_resolution,[],[f1618,f219]) ).

fof(f1618,plain,
    ! [X0,X1] :
      ( ~ sdtlseqdt0(sz0z00,X0)
      | ~ sdtlseqdt0(sz0z00,X1)
      | ~ aScalar0(X0)
      | ~ aScalar0(X1)
      | sz0z00 = sdtpldt0(X1,X0)
      | ~ sdtlseqdt0(sdtpldt0(X1,X0),sz0z00)
      | ~ aScalar0(sdtpldt0(X1,X0)) ),
    inference(subsumption_resolution,[],[f1481,f185]) ).

fof(f1481,plain,
    ! [X0,X1] :
      ( ~ sdtlseqdt0(sz0z00,X0)
      | ~ sdtlseqdt0(sz0z00,X1)
      | ~ aScalar0(X0)
      | ~ aScalar0(X1)
      | sz0z00 = sdtpldt0(X1,X0)
      | ~ sdtlseqdt0(sdtpldt0(X1,X0),sz0z00)
      | ~ aScalar0(sz0z00)
      | ~ aScalar0(sdtpldt0(X1,X0)) ),
    inference(resolution,[],[f227,f225]) ).

fof(f1442,plain,
    ! [X0] :
      ( aDimensionOf0(X0) != aDimensionOf0(xs)
      | aNaturalNumber0(sK3(X0,xq))
      | sP0(X0,xq) ),
    inference(subsumption_resolution,[],[f1439,f149]) ).

fof(f1439,plain,
    ! [X0] :
      ( aDimensionOf0(X0) != aDimensionOf0(xs)
      | aNaturalNumber0(sK3(X0,xq))
      | sP0(X0,xq)
      | ~ aVector0(xq) ),
    inference(superposition,[],[f196,f243]) ).

fof(f1441,plain,
    ! [X0] :
      ( aDimensionOf0(X0) != aDimensionOf0(xs)
      | aNaturalNumber0(sK3(X0,xp))
      | sP0(X0,xp) ),
    inference(subsumption_resolution,[],[f1438,f153]) ).

fof(f1438,plain,
    ! [X0] :
      ( aDimensionOf0(X0) != aDimensionOf0(xs)
      | aNaturalNumber0(sK3(X0,xp))
      | sP0(X0,xp)
      | ~ aVector0(xp) ),
    inference(superposition,[],[f196,f154]) ).

fof(f1440,plain,
    ! [X0] :
      ( aDimensionOf0(X0) != szszuzczcdt0(aDimensionOf0(xs))
      | aNaturalNumber0(sK3(X0,xt))
      | sP0(X0,xt) ),
    inference(subsumption_resolution,[],[f1437,f158]) ).

fof(f1437,plain,
    ! [X0] :
      ( aDimensionOf0(X0) != szszuzczcdt0(aDimensionOf0(xs))
      | aNaturalNumber0(sK3(X0,xt))
      | sP0(X0,xt)
      | ~ aVector0(xt) ),
    inference(superposition,[],[f196,f142]) ).

fof(f196,plain,
    ! [X0,X1] :
      ( aDimensionOf0(X0) != szszuzczcdt0(aDimensionOf0(X1))
      | aNaturalNumber0(sK3(X0,X1))
      | sP0(X0,X1)
      | ~ aVector0(X1) ),
    inference(cnf_transformation,[],[f136]) ).

fof(f136,plain,
    ! [X0,X1] :
      ( ( sP0(X0,X1)
        | ( sdtlbdtrb0(X1,sK3(X0,X1)) != sdtlbdtrb0(X0,sK3(X0,X1))
          & aNaturalNumber0(sK3(X0,X1)) )
        | aDimensionOf0(X0) != szszuzczcdt0(aDimensionOf0(X1))
        | ~ aVector0(X1) )
      & ( ( ! [X3] :
              ( sdtlbdtrb0(X1,X3) = sdtlbdtrb0(X0,X3)
              | ~ aNaturalNumber0(X3) )
          & aDimensionOf0(X0) = szszuzczcdt0(aDimensionOf0(X1))
          & aVector0(X1) )
        | ~ sP0(X0,X1) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK3])],[f134,f135]) ).

fof(f135,plain,
    ! [X0,X1] :
      ( ? [X2] :
          ( sdtlbdtrb0(X1,X2) != sdtlbdtrb0(X0,X2)
          & aNaturalNumber0(X2) )
     => ( sdtlbdtrb0(X1,sK3(X0,X1)) != sdtlbdtrb0(X0,sK3(X0,X1))
        & aNaturalNumber0(sK3(X0,X1)) ) ),
    introduced(choice_axiom,[]) ).

fof(f134,plain,
    ! [X0,X1] :
      ( ( sP0(X0,X1)
        | ? [X2] :
            ( sdtlbdtrb0(X1,X2) != sdtlbdtrb0(X0,X2)
            & aNaturalNumber0(X2) )
        | aDimensionOf0(X0) != szszuzczcdt0(aDimensionOf0(X1))
        | ~ aVector0(X1) )
      & ( ( ! [X3] :
              ( sdtlbdtrb0(X1,X3) = sdtlbdtrb0(X0,X3)
              | ~ aNaturalNumber0(X3) )
          & aDimensionOf0(X0) = szszuzczcdt0(aDimensionOf0(X1))
          & aVector0(X1) )
        | ~ sP0(X0,X1) ) ),
    inference(rectify,[],[f133]) ).

fof(f133,plain,
    ! [X0,X1] :
      ( ( sP0(X0,X1)
        | ? [X2] :
            ( sdtlbdtrb0(X1,X2) != sdtlbdtrb0(X0,X2)
            & aNaturalNumber0(X2) )
        | aDimensionOf0(X0) != szszuzczcdt0(aDimensionOf0(X1))
        | ~ aVector0(X1) )
      & ( ( ! [X2] :
              ( sdtlbdtrb0(X1,X2) = sdtlbdtrb0(X0,X2)
              | ~ aNaturalNumber0(X2) )
          & aDimensionOf0(X0) = szszuzczcdt0(aDimensionOf0(X1))
          & aVector0(X1) )
        | ~ sP0(X0,X1) ) ),
    inference(flattening,[],[f132]) ).

fof(f132,plain,
    ! [X0,X1] :
      ( ( sP0(X0,X1)
        | ? [X2] :
            ( sdtlbdtrb0(X1,X2) != sdtlbdtrb0(X0,X2)
            & aNaturalNumber0(X2) )
        | aDimensionOf0(X0) != szszuzczcdt0(aDimensionOf0(X1))
        | ~ aVector0(X1) )
      & ( ( ! [X2] :
              ( sdtlbdtrb0(X1,X2) = sdtlbdtrb0(X0,X2)
              | ~ aNaturalNumber0(X2) )
          & aDimensionOf0(X0) = szszuzczcdt0(aDimensionOf0(X1))
          & aVector0(X1) )
        | ~ sP0(X0,X1) ) ),
    inference(nnf_transformation,[],[f126]) ).

fof(f126,plain,
    ! [X0,X1] :
      ( sP0(X0,X1)
    <=> ( ! [X2] :
            ( sdtlbdtrb0(X1,X2) = sdtlbdtrb0(X0,X2)
            | ~ aNaturalNumber0(X2) )
        & aDimensionOf0(X0) = szszuzczcdt0(aDimensionOf0(X1))
        & aVector0(X1) ) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).

fof(f1399,plain,
    ( sdtasdt0(sdtpldt0(xP,xP),sdtpldt0(xP,xP)) = sdtasdt0(sdtpldt0(xR,xS),sdtpldt0(xR,xS))
    | ~ sdtlseqdt0(sdtasdt0(sdtpldt0(xR,xS),sdtpldt0(xR,xS)),sdtasdt0(sdtpldt0(xP,xP),sdtpldt0(xP,xP)))
    | ~ aScalar0(sdtasdt0(sdtpldt0(xP,xP),sdtpldt0(xP,xP)))
    | ~ aScalar0(sdtasdt0(sdtpldt0(xR,xS),sdtpldt0(xR,xS))) ),
    inference(resolution,[],[f148,f225]) ).

fof(f148,plain,
    sdtlseqdt0(sdtasdt0(sdtpldt0(xP,xP),sdtpldt0(xP,xP)),sdtasdt0(sdtpldt0(xR,xS),sdtpldt0(xR,xS))),
    inference(cnf_transformation,[],[f59]) ).

fof(f59,axiom,
    sdtlseqdt0(sdtasdt0(sdtpldt0(xP,xP),sdtpldt0(xP,xP)),sdtasdt0(sdtpldt0(xR,xS),sdtpldt0(xR,xS))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2405) ).

fof(f1361,plain,
    ( sdtpldt0(sdtasdt0(xP,xP),sdtasdt0(xP,xP)) = sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xS,xS))
    | ~ sdtlseqdt0(sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xS,xS)),sdtpldt0(sdtasdt0(xP,xP),sdtasdt0(xP,xP)))
    | ~ aScalar0(sdtpldt0(sdtasdt0(xP,xP),sdtasdt0(xP,xP)))
    | ~ aScalar0(sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xS,xS))) ),
    inference(resolution,[],[f147,f225]) ).

fof(f147,plain,
    sdtlseqdt0(sdtpldt0(sdtasdt0(xP,xP),sdtasdt0(xP,xP)),sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xS,xS))),
    inference(cnf_transformation,[],[f58]) ).

fof(f58,axiom,
    sdtlseqdt0(sdtpldt0(sdtasdt0(xP,xP),sdtasdt0(xP,xP)),sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xS,xS))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2104) ).

fof(f232,plain,
    ! [X2,X0,X1] :
      ( sdtasdt0(X0,X1) = sdtasdt0(X1,X0)
      | ~ aScalar0(X2)
      | ~ aScalar0(X1)
      | ~ aScalar0(X0) ),
    inference(cnf_transformation,[],[f115]) ).

fof(f115,plain,
    ! [X0,X1,X2] :
      ( ( sdtasdt0(X0,X1) = sdtasdt0(X1,X0)
        & sdtasdt0(sdtasdt0(X0,X1),X2) = sdtasdt0(X0,sdtasdt0(X1,X2))
        & sdtpldt0(X0,X1) = sdtpldt0(X1,X0)
        & sdtpldt0(sdtpldt0(X0,X1),X2) = sdtpldt0(X0,sdtpldt0(X1,X2)) )
      | ~ aScalar0(X2)
      | ~ aScalar0(X1)
      | ~ aScalar0(X0) ),
    inference(flattening,[],[f114]) ).

fof(f114,plain,
    ! [X0,X1,X2] :
      ( ( sdtasdt0(X0,X1) = sdtasdt0(X1,X0)
        & sdtasdt0(sdtasdt0(X0,X1),X2) = sdtasdt0(X0,sdtasdt0(X1,X2))
        & sdtpldt0(X0,X1) = sdtpldt0(X1,X0)
        & sdtpldt0(sdtpldt0(X0,X1),X2) = sdtpldt0(X0,sdtpldt0(X1,X2)) )
      | ~ aScalar0(X2)
      | ~ aScalar0(X1)
      | ~ aScalar0(X0) ),
    inference(ennf_transformation,[],[f14]) ).

fof(f14,axiom,
    ! [X0,X1,X2] :
      ( ( aScalar0(X2)
        & aScalar0(X1)
        & aScalar0(X0) )
     => ( sdtasdt0(X0,X1) = sdtasdt0(X1,X0)
        & sdtasdt0(sdtasdt0(X0,X1),X2) = sdtasdt0(X0,sdtasdt0(X1,X2))
        & sdtpldt0(X0,X1) = sdtpldt0(X1,X0)
        & sdtpldt0(sdtpldt0(X0,X1),X2) = sdtpldt0(X0,sdtpldt0(X1,X2)) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mArith) ).

fof(f1217,plain,
    smndt0(xN) = sdtpldt0(sz0z00,smndt0(xN)),
    inference(resolution,[],[f335,f165]) ).

fof(f1216,plain,
    smndt0(xS) = sdtpldt0(sz0z00,smndt0(xS)),
    inference(resolution,[],[f335,f177]) ).

fof(f1215,plain,
    smndt0(xP) = sdtpldt0(sz0z00,smndt0(xP)),
    inference(resolution,[],[f335,f181]) ).

fof(f1214,plain,
    smndt0(xR) = sdtpldt0(sz0z00,smndt0(xR)),
    inference(resolution,[],[f335,f179]) ).

fof(f1213,plain,
    smndt0(xH) = sdtpldt0(sz0z00,smndt0(xH)),
    inference(resolution,[],[f335,f161]) ).

fof(f1212,plain,
    smndt0(xG) = sdtpldt0(sz0z00,smndt0(xG)),
    inference(resolution,[],[f335,f163]) ).

fof(f1211,plain,
    smndt0(xF) = sdtpldt0(sz0z00,smndt0(xF)),
    inference(resolution,[],[f335,f159]) ).

fof(f1210,plain,
    smndt0(xE) = sdtpldt0(sz0z00,smndt0(xE)),
    inference(resolution,[],[f335,f171]) ).

fof(f1209,plain,
    smndt0(xD) = sdtpldt0(sz0z00,smndt0(xD)),
    inference(resolution,[],[f335,f169]) ).

fof(f1208,plain,
    smndt0(xC) = sdtpldt0(sz0z00,smndt0(xC)),
    inference(resolution,[],[f335,f167]) ).

fof(f1207,plain,
    smndt0(xB) = sdtpldt0(sz0z00,smndt0(xB)),
    inference(resolution,[],[f335,f173]) ).

fof(f1206,plain,
    smndt0(xA) = sdtpldt0(sz0z00,smndt0(xA)),
    inference(resolution,[],[f335,f175]) ).

fof(f1205,plain,
    ! [X0] :
      ( smndt0(sdtasasdt0(X0,X0)) = sdtpldt0(sz0z00,smndt0(sdtasasdt0(X0,X0)))
      | ~ aVector0(X0) ),
    inference(resolution,[],[f335,f796]) ).

fof(f1202,plain,
    smndt0(sdtlbdtrb0(xs,sz00)) = sdtpldt0(sz0z00,smndt0(sdtlbdtrb0(xs,sz00))),
    inference(resolution,[],[f335,f573]) ).

fof(f1199,plain,
    smndt0(sdtlbdtrb0(xt,sz00)) = sdtpldt0(sz0z00,smndt0(sdtlbdtrb0(xt,sz00))),
    inference(resolution,[],[f335,f506]) ).

fof(f1198,plain,
    ! [X0,X1] :
      ( smndt0(sdtlbdtrb0(X0,X1)) = sdtpldt0(sz0z00,smndt0(sdtlbdtrb0(X0,X1)))
      | ~ aNaturalNumber0(X1)
      | ~ aVector0(X0) ),
    inference(resolution,[],[f335,f214]) ).

fof(f1197,plain,
    ! [X0] :
      ( smndt0(smndt0(X0)) = sdtpldt0(sz0z00,smndt0(smndt0(X0)))
      | ~ aScalar0(X0) ),
    inference(resolution,[],[f335,f199]) ).

fof(f1196,plain,
    ! [X0,X1] :
      ( smndt0(sdtasdt0(X0,X1)) = sdtpldt0(sz0z00,smndt0(sdtasdt0(X0,X1)))
      | ~ aScalar0(X1)
      | ~ aScalar0(X0) ),
    inference(resolution,[],[f335,f220]) ).

fof(f1193,plain,
    ! [X0,X1] :
      ( smndt0(sdtpldt0(X0,X1)) = sdtpldt0(sz0z00,smndt0(sdtpldt0(X0,X1)))
      | ~ aScalar0(X1)
      | ~ aScalar0(X0) ),
    inference(resolution,[],[f335,f219]) ).

fof(f335,plain,
    ! [X0] :
      ( ~ aScalar0(X0)
      | smndt0(X0) = sdtpldt0(sz0z00,smndt0(X0)) ),
    inference(resolution,[],[f292,f199]) ).

fof(f1048,plain,
    smndt0(xN) = sdtpldt0(smndt0(xN),sz0z00),
    inference(resolution,[],[f297,f165]) ).

fof(f1047,plain,
    smndt0(xS) = sdtpldt0(smndt0(xS),sz0z00),
    inference(resolution,[],[f297,f177]) ).

fof(f1046,plain,
    smndt0(xP) = sdtpldt0(smndt0(xP),sz0z00),
    inference(resolution,[],[f297,f181]) ).

fof(f1045,plain,
    smndt0(xR) = sdtpldt0(smndt0(xR),sz0z00),
    inference(resolution,[],[f297,f179]) ).

fof(f1044,plain,
    smndt0(xH) = sdtpldt0(smndt0(xH),sz0z00),
    inference(resolution,[],[f297,f161]) ).

fof(f230,plain,
    ! [X2,X0,X1] :
      ( sdtpldt0(X0,X1) = sdtpldt0(X1,X0)
      | ~ aScalar0(X2)
      | ~ aScalar0(X1)
      | ~ aScalar0(X0) ),
    inference(cnf_transformation,[],[f115]) ).

fof(f1085,plain,
    ( sz0z00 = xG
    | ~ sdtlseqdt0(xG,sz0z00) ),
    inference(subsumption_resolution,[],[f1084,f163]) ).

fof(f1084,plain,
    ( sz0z00 = xG
    | ~ sdtlseqdt0(xG,sz0z00)
    | ~ aScalar0(xG) ),
    inference(subsumption_resolution,[],[f1066,f185]) ).

fof(f1066,plain,
    ( sz0z00 = xG
    | ~ sdtlseqdt0(xG,sz0z00)
    | ~ aScalar0(sz0z00)
    | ~ aScalar0(xG) ),
    inference(resolution,[],[f225,f290]) ).

fof(f1083,plain,
    ( sz0z00 = xF
    | ~ sdtlseqdt0(xF,sz0z00) ),
    inference(subsumption_resolution,[],[f1082,f159]) ).

fof(f1082,plain,
    ( sz0z00 = xF
    | ~ sdtlseqdt0(xF,sz0z00)
    | ~ aScalar0(xF) ),
    inference(subsumption_resolution,[],[f1065,f185]) ).

fof(f1065,plain,
    ( sz0z00 = xF
    | ~ sdtlseqdt0(xF,sz0z00)
    | ~ aScalar0(sz0z00)
    | ~ aScalar0(xF) ),
    inference(resolution,[],[f225,f289]) ).

fof(f1081,plain,
    ( sz0z00 = xD
    | ~ sdtlseqdt0(xD,sz0z00) ),
    inference(subsumption_resolution,[],[f1080,f169]) ).

fof(f1080,plain,
    ( sz0z00 = xD
    | ~ sdtlseqdt0(xD,sz0z00)
    | ~ aScalar0(xD) ),
    inference(subsumption_resolution,[],[f1064,f185]) ).

fof(f1064,plain,
    ( sz0z00 = xD
    | ~ sdtlseqdt0(xD,sz0z00)
    | ~ aScalar0(sz0z00)
    | ~ aScalar0(xD) ),
    inference(resolution,[],[f225,f286]) ).

fof(f1079,plain,
    ( sz0z00 = xC
    | ~ sdtlseqdt0(xC,sz0z00) ),
    inference(subsumption_resolution,[],[f1078,f167]) ).

fof(f1078,plain,
    ( sz0z00 = xC
    | ~ sdtlseqdt0(xC,sz0z00)
    | ~ aScalar0(xC) ),
    inference(subsumption_resolution,[],[f1063,f185]) ).

fof(f1063,plain,
    ( sz0z00 = xC
    | ~ sdtlseqdt0(xC,sz0z00)
    | ~ aScalar0(sz0z00)
    | ~ aScalar0(xC) ),
    inference(resolution,[],[f225,f285]) ).

fof(f1070,plain,
    ( sdtasdt0(xE,xE) = sdtasdt0(xC,xD)
    | ~ sdtlseqdt0(sdtasdt0(xC,xD),sdtasdt0(xE,xE))
    | ~ aScalar0(sdtasdt0(xE,xE))
    | ~ aScalar0(sdtasdt0(xC,xD)) ),
    inference(resolution,[],[f225,f146]) ).

fof(f1086,plain,
    ( xN = sdtasdt0(xP,xP)
    | ~ sdtlseqdt0(xN,sdtasdt0(xP,xP))
    | ~ aScalar0(sdtasdt0(xP,xP)) ),
    inference(subsumption_resolution,[],[f1069,f165]) ).

fof(f1069,plain,
    ( xN = sdtasdt0(xP,xP)
    | ~ sdtlseqdt0(xN,sdtasdt0(xP,xP))
    | ~ aScalar0(sdtasdt0(xP,xP))
    | ~ aScalar0(xN) ),
    inference(resolution,[],[f225,f143]) ).

fof(f1077,plain,
    ! [X0] :
      ( sz0z00 = sdtasasdt0(X0,X0)
      | ~ sdtlseqdt0(sdtasasdt0(X0,X0),sz0z00)
      | ~ aVector0(X0) ),
    inference(subsumption_resolution,[],[f1076,f796]) ).

fof(f1076,plain,
    ! [X0] :
      ( sz0z00 = sdtasasdt0(X0,X0)
      | ~ sdtlseqdt0(sdtasasdt0(X0,X0),sz0z00)
      | ~ aScalar0(sdtasasdt0(X0,X0))
      | ~ aVector0(X0) ),
    inference(subsumption_resolution,[],[f1062,f185]) ).

fof(f1062,plain,
    ! [X0] :
      ( sz0z00 = sdtasasdt0(X0,X0)
      | ~ sdtlseqdt0(sdtasasdt0(X0,X0),sz0z00)
      | ~ aScalar0(sz0z00)
      | ~ aScalar0(sdtasasdt0(X0,X0))
      | ~ aVector0(X0) ),
    inference(resolution,[],[f225,f190]) ).

fof(f1075,plain,
    ! [X0] :
      ( sz0z00 = sdtasdt0(X0,X0)
      | ~ sdtlseqdt0(sdtasdt0(X0,X0),sz0z00)
      | ~ aScalar0(X0) ),
    inference(subsumption_resolution,[],[f1074,f220]) ).

fof(f1074,plain,
    ! [X0] :
      ( sz0z00 = sdtasdt0(X0,X0)
      | ~ sdtlseqdt0(sdtasdt0(X0,X0),sz0z00)
      | ~ aScalar0(sdtasdt0(X0,X0))
      | ~ aScalar0(X0) ),
    inference(subsumption_resolution,[],[f1061,f185]) ).

fof(f1061,plain,
    ! [X0] :
      ( sz0z00 = sdtasdt0(X0,X0)
      | ~ sdtlseqdt0(sdtasdt0(X0,X0),sz0z00)
      | ~ aScalar0(sz0z00)
      | ~ aScalar0(sdtasdt0(X0,X0))
      | ~ aScalar0(X0) ),
    inference(resolution,[],[f225,f201]) ).

fof(f1043,plain,
    smndt0(xG) = sdtpldt0(smndt0(xG),sz0z00),
    inference(resolution,[],[f297,f163]) ).

fof(f1042,plain,
    smndt0(xF) = sdtpldt0(smndt0(xF),sz0z00),
    inference(resolution,[],[f297,f159]) ).

fof(f1041,plain,
    smndt0(xE) = sdtpldt0(smndt0(xE),sz0z00),
    inference(resolution,[],[f297,f171]) ).

fof(f1040,plain,
    smndt0(xD) = sdtpldt0(smndt0(xD),sz0z00),
    inference(resolution,[],[f297,f169]) ).

fof(f1039,plain,
    smndt0(xC) = sdtpldt0(smndt0(xC),sz0z00),
    inference(resolution,[],[f297,f167]) ).

fof(f1038,plain,
    smndt0(xB) = sdtpldt0(smndt0(xB),sz0z00),
    inference(resolution,[],[f297,f173]) ).

fof(f1037,plain,
    smndt0(xA) = sdtpldt0(smndt0(xA),sz0z00),
    inference(resolution,[],[f297,f175]) ).

fof(f1036,plain,
    ! [X0] :
      ( smndt0(sdtasasdt0(X0,X0)) = sdtpldt0(smndt0(sdtasasdt0(X0,X0)),sz0z00)
      | ~ aVector0(X0) ),
    inference(resolution,[],[f297,f796]) ).

fof(f1033,plain,
    smndt0(sdtlbdtrb0(xs,sz00)) = sdtpldt0(smndt0(sdtlbdtrb0(xs,sz00)),sz0z00),
    inference(resolution,[],[f297,f573]) ).

fof(f1030,plain,
    smndt0(sdtlbdtrb0(xt,sz00)) = sdtpldt0(smndt0(sdtlbdtrb0(xt,sz00)),sz0z00),
    inference(resolution,[],[f297,f506]) ).

fof(f1029,plain,
    ! [X0,X1] :
      ( smndt0(sdtlbdtrb0(X0,X1)) = sdtpldt0(smndt0(sdtlbdtrb0(X0,X1)),sz0z00)
      | ~ aNaturalNumber0(X1)
      | ~ aVector0(X0) ),
    inference(resolution,[],[f297,f214]) ).

fof(f1028,plain,
    ! [X0] :
      ( smndt0(smndt0(X0)) = sdtpldt0(smndt0(smndt0(X0)),sz0z00)
      | ~ aScalar0(X0) ),
    inference(resolution,[],[f297,f199]) ).

fof(f1027,plain,
    ! [X0,X1] :
      ( smndt0(sdtasdt0(X0,X1)) = sdtpldt0(smndt0(sdtasdt0(X0,X1)),sz0z00)
      | ~ aScalar0(X1)
      | ~ aScalar0(X0) ),
    inference(resolution,[],[f297,f220]) ).

fof(f1024,plain,
    ! [X0,X1] :
      ( smndt0(sdtpldt0(X0,X1)) = sdtpldt0(smndt0(sdtpldt0(X0,X1)),sz0z00)
      | ~ aScalar0(X1)
      | ~ aScalar0(X0) ),
    inference(resolution,[],[f297,f219]) ).

fof(f297,plain,
    ! [X0] :
      ( ~ aScalar0(X0)
      | smndt0(X0) = sdtpldt0(smndt0(X0),sz0z00) ),
    inference(resolution,[],[f291,f199]) ).

fof(f986,plain,
    ( sz00 != szszuzczcdt0(aDimensionOf0(xs))
    | ~ aNaturalNumber0(sK4(sz00)) ),
    inference(inner_rewriting,[],[f983]) ).

fof(f1012,plain,
    ! [X0] :
      ( smndt0(sdtasdt0(X0,xN)) = sdtasdt0(smndt0(X0),xN)
      | ~ aScalar0(X0) ),
    inference(resolution,[],[f223,f165]) ).

fof(f1011,plain,
    ! [X0] :
      ( smndt0(sdtasdt0(X0,xS)) = sdtasdt0(smndt0(X0),xS)
      | ~ aScalar0(X0) ),
    inference(resolution,[],[f223,f177]) ).

fof(f1010,plain,
    ! [X0] :
      ( smndt0(sdtasdt0(X0,xP)) = sdtasdt0(smndt0(X0),xP)
      | ~ aScalar0(X0) ),
    inference(resolution,[],[f223,f181]) ).

fof(f1009,plain,
    ! [X0] :
      ( smndt0(sdtasdt0(X0,xR)) = sdtasdt0(smndt0(X0),xR)
      | ~ aScalar0(X0) ),
    inference(resolution,[],[f223,f179]) ).

fof(f1008,plain,
    ! [X0] :
      ( smndt0(sdtasdt0(X0,xH)) = sdtasdt0(smndt0(X0),xH)
      | ~ aScalar0(X0) ),
    inference(resolution,[],[f223,f161]) ).

fof(f1007,plain,
    ! [X0] :
      ( smndt0(sdtasdt0(X0,xG)) = sdtasdt0(smndt0(X0),xG)
      | ~ aScalar0(X0) ),
    inference(resolution,[],[f223,f163]) ).

fof(f1006,plain,
    ! [X0] :
      ( smndt0(sdtasdt0(X0,xF)) = sdtasdt0(smndt0(X0),xF)
      | ~ aScalar0(X0) ),
    inference(resolution,[],[f223,f159]) ).

fof(f1005,plain,
    ! [X0] :
      ( smndt0(sdtasdt0(X0,xE)) = sdtasdt0(smndt0(X0),xE)
      | ~ aScalar0(X0) ),
    inference(resolution,[],[f223,f171]) ).

fof(f1004,plain,
    ! [X0] :
      ( smndt0(sdtasdt0(X0,xD)) = sdtasdt0(smndt0(X0),xD)
      | ~ aScalar0(X0) ),
    inference(resolution,[],[f223,f169]) ).

fof(f1003,plain,
    ! [X0] :
      ( smndt0(sdtasdt0(X0,xC)) = sdtasdt0(smndt0(X0),xC)
      | ~ aScalar0(X0) ),
    inference(resolution,[],[f223,f167]) ).

fof(f1002,plain,
    ! [X0] :
      ( smndt0(sdtasdt0(X0,xB)) = sdtasdt0(smndt0(X0),xB)
      | ~ aScalar0(X0) ),
    inference(resolution,[],[f223,f173]) ).

fof(f1001,plain,
    ! [X0] :
      ( smndt0(sdtasdt0(X0,xA)) = sdtasdt0(smndt0(X0),xA)
      | ~ aScalar0(X0) ),
    inference(resolution,[],[f223,f175]) ).

fof(f1000,plain,
    ! [X0,X1] :
      ( smndt0(sdtasdt0(X0,sdtasasdt0(X1,X1))) = sdtasdt0(smndt0(X0),sdtasasdt0(X1,X1))
      | ~ aScalar0(X0)
      | ~ aVector0(X1) ),
    inference(resolution,[],[f223,f796]) ).

fof(f997,plain,
    ! [X0] :
      ( smndt0(sdtasdt0(X0,sdtlbdtrb0(xs,sz00))) = sdtasdt0(smndt0(X0),sdtlbdtrb0(xs,sz00))
      | ~ aScalar0(X0) ),
    inference(resolution,[],[f223,f573]) ).

fof(f994,plain,
    ! [X0] :
      ( smndt0(sdtasdt0(X0,sdtlbdtrb0(xt,sz00))) = sdtasdt0(smndt0(X0),sdtlbdtrb0(xt,sz00))
      | ~ aScalar0(X0) ),
    inference(resolution,[],[f223,f506]) ).

fof(f993,plain,
    ! [X2,X0,X1] :
      ( smndt0(sdtasdt0(X0,sdtlbdtrb0(X1,X2))) = sdtasdt0(smndt0(X0),sdtlbdtrb0(X1,X2))
      | ~ aScalar0(X0)
      | ~ aNaturalNumber0(X2)
      | ~ aVector0(X1) ),
    inference(resolution,[],[f223,f214]) ).

fof(f992,plain,
    ! [X0,X1] :
      ( sdtasdt0(smndt0(X0),smndt0(X1)) = smndt0(sdtasdt0(X0,smndt0(X1)))
      | ~ aScalar0(X0)
      | ~ aScalar0(X1) ),
    inference(resolution,[],[f223,f199]) ).

fof(f991,plain,
    ! [X2,X0,X1] :
      ( smndt0(sdtasdt0(X0,sdtasdt0(X1,X2))) = sdtasdt0(smndt0(X0),sdtasdt0(X1,X2))
      | ~ aScalar0(X0)
      | ~ aScalar0(X2)
      | ~ aScalar0(X1) ),
    inference(resolution,[],[f223,f220]) ).

fof(f988,plain,
    ! [X2,X0,X1] :
      ( smndt0(sdtasdt0(X0,sdtpldt0(X1,X2))) = sdtasdt0(smndt0(X0),sdtpldt0(X1,X2))
      | ~ aScalar0(X0)
      | ~ aScalar0(X2)
      | ~ aScalar0(X1) ),
    inference(resolution,[],[f223,f219]) ).

fof(f987,plain,
    ! [X0] :
      ( sdtasdt0(smndt0(X0),sz0z00) = smndt0(sdtasdt0(X0,sz0z00))
      | ~ aScalar0(X0) ),
    inference(resolution,[],[f223,f185]) ).

fof(f223,plain,
    ! [X0,X1] :
      ( ~ aScalar0(X1)
      | smndt0(sdtasdt0(X0,X1)) = sdtasdt0(smndt0(X0),X1)
      | ~ aScalar0(X0) ),
    inference(cnf_transformation,[],[f105]) ).

fof(f105,plain,
    ! [X0,X1] :
      ( ( smndt0(sdtasdt0(X0,X1)) = sdtasdt0(smndt0(X0),X1)
        & sdtasdt0(X0,smndt0(X1)) = smndt0(sdtasdt0(X0,X1)) )
      | ~ aScalar0(X1)
      | ~ aScalar0(X0) ),
    inference(flattening,[],[f104]) ).

fof(f104,plain,
    ! [X0,X1] :
      ( ( smndt0(sdtasdt0(X0,X1)) = sdtasdt0(smndt0(X0),X1)
        & sdtasdt0(X0,smndt0(X1)) = smndt0(sdtasdt0(X0,X1)) )
      | ~ aScalar0(X1)
      | ~ aScalar0(X0) ),
    inference(ennf_transformation,[],[f17]) ).

fof(f17,axiom,
    ! [X0,X1] :
      ( ( aScalar0(X1)
        & aScalar0(X0) )
     => ( smndt0(sdtasdt0(X0,X1)) = sdtasdt0(smndt0(X0),X1)
        & sdtasdt0(X0,smndt0(X1)) = smndt0(sdtasdt0(X0,X1)) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mMNeg) ).

fof(f985,plain,
    ( aNaturalNumber0(szszuzczcdt0(aDimensionOf0(xs)))
    | ~ aNaturalNumber0(sK4(szszuzczcdt0(aDimensionOf0(xs)))) ),
    inference(superposition,[],[f187,f823]) ).

fof(f984,plain,
    ( iLess0(sK4(szszuzczcdt0(aDimensionOf0(xs))),szszuzczcdt0(aDimensionOf0(xs)))
    | ~ aNaturalNumber0(sK4(szszuzczcdt0(aDimensionOf0(xs)))) ),
    inference(superposition,[],[f186,f823]) ).

fof(f983,plain,
    ( sz00 != szszuzczcdt0(aDimensionOf0(xs))
    | ~ aNaturalNumber0(sK4(szszuzczcdt0(aDimensionOf0(xs)))) ),
    inference(superposition,[],[f188,f823]) ).

fof(f982,plain,
    ! [X0] :
      ( szszuzczcdt0(X0) != szszuzczcdt0(aDimensionOf0(xs))
      | sK4(szszuzczcdt0(aDimensionOf0(xs))) = X0
      | ~ aNaturalNumber0(X0)
      | ~ aNaturalNumber0(sK4(szszuzczcdt0(aDimensionOf0(xs)))) ),
    inference(superposition,[],[f213,f823]) ).

fof(f981,plain,
    ! [X0] :
      ( szszuzczcdt0(X0) != szszuzczcdt0(aDimensionOf0(xs))
      | sK4(szszuzczcdt0(aDimensionOf0(xs))) = X0
      | ~ aNaturalNumber0(sK4(szszuzczcdt0(aDimensionOf0(xs))))
      | ~ aNaturalNumber0(X0) ),
    inference(superposition,[],[f213,f823]) ).

fof(f823,plain,
    szszuzczcdt0(aDimensionOf0(xs)) = szszuzczcdt0(sK4(szszuzczcdt0(aDimensionOf0(xs)))),
    inference(resolution,[],[f647,f242]) ).

fof(f945,plain,
    ! [X0] :
      ( sdtasdt0(X0,smndt0(xN)) = smndt0(sdtasdt0(X0,xN))
      | ~ aScalar0(X0) ),
    inference(resolution,[],[f222,f165]) ).

fof(f944,plain,
    ! [X0] :
      ( sdtasdt0(X0,smndt0(xS)) = smndt0(sdtasdt0(X0,xS))
      | ~ aScalar0(X0) ),
    inference(resolution,[],[f222,f177]) ).

fof(f943,plain,
    ! [X0] :
      ( sdtasdt0(X0,smndt0(xP)) = smndt0(sdtasdt0(X0,xP))
      | ~ aScalar0(X0) ),
    inference(resolution,[],[f222,f181]) ).

fof(f942,plain,
    ! [X0] :
      ( sdtasdt0(X0,smndt0(xR)) = smndt0(sdtasdt0(X0,xR))
      | ~ aScalar0(X0) ),
    inference(resolution,[],[f222,f179]) ).

fof(f941,plain,
    ! [X0] :
      ( sdtasdt0(X0,smndt0(xH)) = smndt0(sdtasdt0(X0,xH))
      | ~ aScalar0(X0) ),
    inference(resolution,[],[f222,f161]) ).

fof(f940,plain,
    ! [X0] :
      ( sdtasdt0(X0,smndt0(xG)) = smndt0(sdtasdt0(X0,xG))
      | ~ aScalar0(X0) ),
    inference(resolution,[],[f222,f163]) ).

fof(f939,plain,
    ! [X0] :
      ( sdtasdt0(X0,smndt0(xF)) = smndt0(sdtasdt0(X0,xF))
      | ~ aScalar0(X0) ),
    inference(resolution,[],[f222,f159]) ).

fof(f938,plain,
    ! [X0] :
      ( sdtasdt0(X0,smndt0(xE)) = smndt0(sdtasdt0(X0,xE))
      | ~ aScalar0(X0) ),
    inference(resolution,[],[f222,f171]) ).

fof(f937,plain,
    ! [X0] :
      ( sdtasdt0(X0,smndt0(xD)) = smndt0(sdtasdt0(X0,xD))
      | ~ aScalar0(X0) ),
    inference(resolution,[],[f222,f169]) ).

fof(f936,plain,
    ! [X0] :
      ( sdtasdt0(X0,smndt0(xC)) = smndt0(sdtasdt0(X0,xC))
      | ~ aScalar0(X0) ),
    inference(resolution,[],[f222,f167]) ).

fof(f935,plain,
    ! [X0] :
      ( sdtasdt0(X0,smndt0(xB)) = smndt0(sdtasdt0(X0,xB))
      | ~ aScalar0(X0) ),
    inference(resolution,[],[f222,f173]) ).

fof(f934,plain,
    ! [X0] :
      ( sdtasdt0(X0,smndt0(xA)) = smndt0(sdtasdt0(X0,xA))
      | ~ aScalar0(X0) ),
    inference(resolution,[],[f222,f175]) ).

fof(f933,plain,
    ! [X0,X1] :
      ( sdtasdt0(X0,smndt0(sdtasasdt0(X1,X1))) = smndt0(sdtasdt0(X0,sdtasasdt0(X1,X1)))
      | ~ aScalar0(X0)
      | ~ aVector0(X1) ),
    inference(resolution,[],[f222,f796]) ).

fof(f932,plain,
    ! [X0] :
      ( sdtasdt0(X0,smndt0(sdtlbdtrb0(xs,sz00))) = smndt0(sdtasdt0(X0,sdtlbdtrb0(xs,sz00)))
      | ~ aScalar0(X0) ),
    inference(resolution,[],[f222,f573]) ).

fof(f929,plain,
    ! [X0] :
      ( sdtasdt0(X0,smndt0(sdtlbdtrb0(xt,sz00))) = smndt0(sdtasdt0(X0,sdtlbdtrb0(xt,sz00)))
      | ~ aScalar0(X0) ),
    inference(resolution,[],[f222,f506]) ).

fof(f928,plain,
    ! [X2,X0,X1] :
      ( sdtasdt0(X0,smndt0(sdtlbdtrb0(X1,X2))) = smndt0(sdtasdt0(X0,sdtlbdtrb0(X1,X2)))
      | ~ aScalar0(X0)
      | ~ aNaturalNumber0(X2)
      | ~ aVector0(X1) ),
    inference(resolution,[],[f222,f214]) ).

fof(f927,plain,
    ! [X0,X1] :
      ( sdtasdt0(X0,smndt0(smndt0(X1))) = smndt0(sdtasdt0(X0,smndt0(X1)))
      | ~ aScalar0(X0)
      | ~ aScalar0(X1) ),
    inference(resolution,[],[f222,f199]) ).

fof(f926,plain,
    ! [X2,X0,X1] :
      ( sdtasdt0(X0,smndt0(sdtasdt0(X1,X2))) = smndt0(sdtasdt0(X0,sdtasdt0(X1,X2)))
      | ~ aScalar0(X0)
      | ~ aScalar0(X2)
      | ~ aScalar0(X1) ),
    inference(resolution,[],[f222,f220]) ).

fof(f923,plain,
    ! [X2,X0,X1] :
      ( sdtasdt0(X0,smndt0(sdtpldt0(X1,X2))) = smndt0(sdtasdt0(X0,sdtpldt0(X1,X2)))
      | ~ aScalar0(X0)
      | ~ aScalar0(X2)
      | ~ aScalar0(X1) ),
    inference(resolution,[],[f222,f219]) ).

fof(f222,plain,
    ! [X0,X1] :
      ( ~ aScalar0(X1)
      | sdtasdt0(X0,smndt0(X1)) = smndt0(sdtasdt0(X0,X1))
      | ~ aScalar0(X0) ),
    inference(cnf_transformation,[],[f105]) ).

fof(f834,plain,
    ( sz00 != szszuzczcdt0(sz00)
    | ~ aNaturalNumber0(sK4(sz00)) ),
    inference(inner_rewriting,[],[f831]) ).

fof(f872,plain,
    ! [X0] :
      ( sdtasdt0(X0,xN) = sdtasdt0(smndt0(X0),smndt0(xN))
      | ~ aScalar0(X0) ),
    inference(resolution,[],[f221,f165]) ).

fof(f871,plain,
    ! [X0] :
      ( sdtasdt0(X0,xS) = sdtasdt0(smndt0(X0),smndt0(xS))
      | ~ aScalar0(X0) ),
    inference(resolution,[],[f221,f177]) ).

fof(f870,plain,
    ! [X0] :
      ( sdtasdt0(X0,xP) = sdtasdt0(smndt0(X0),smndt0(xP))
      | ~ aScalar0(X0) ),
    inference(resolution,[],[f221,f181]) ).

fof(f869,plain,
    ! [X0] :
      ( sdtasdt0(X0,xR) = sdtasdt0(smndt0(X0),smndt0(xR))
      | ~ aScalar0(X0) ),
    inference(resolution,[],[f221,f179]) ).

fof(f868,plain,
    ! [X0] :
      ( sdtasdt0(X0,xH) = sdtasdt0(smndt0(X0),smndt0(xH))
      | ~ aScalar0(X0) ),
    inference(resolution,[],[f221,f161]) ).

fof(f867,plain,
    ! [X0] :
      ( sdtasdt0(X0,xG) = sdtasdt0(smndt0(X0),smndt0(xG))
      | ~ aScalar0(X0) ),
    inference(resolution,[],[f221,f163]) ).

fof(f866,plain,
    ! [X0] :
      ( sdtasdt0(X0,xF) = sdtasdt0(smndt0(X0),smndt0(xF))
      | ~ aScalar0(X0) ),
    inference(resolution,[],[f221,f159]) ).

fof(f865,plain,
    ! [X0] :
      ( sdtasdt0(X0,xE) = sdtasdt0(smndt0(X0),smndt0(xE))
      | ~ aScalar0(X0) ),
    inference(resolution,[],[f221,f171]) ).

fof(f864,plain,
    ! [X0] :
      ( sdtasdt0(X0,xD) = sdtasdt0(smndt0(X0),smndt0(xD))
      | ~ aScalar0(X0) ),
    inference(resolution,[],[f221,f169]) ).

fof(f863,plain,
    ! [X0] :
      ( sdtasdt0(X0,xC) = sdtasdt0(smndt0(X0),smndt0(xC))
      | ~ aScalar0(X0) ),
    inference(resolution,[],[f221,f167]) ).

fof(f862,plain,
    ! [X0] :
      ( sdtasdt0(X0,xB) = sdtasdt0(smndt0(X0),smndt0(xB))
      | ~ aScalar0(X0) ),
    inference(resolution,[],[f221,f173]) ).

fof(f861,plain,
    ! [X0] :
      ( sdtasdt0(X0,xA) = sdtasdt0(smndt0(X0),smndt0(xA))
      | ~ aScalar0(X0) ),
    inference(resolution,[],[f221,f175]) ).

fof(f860,plain,
    ! [X0,X1] :
      ( sdtasdt0(X0,sdtasasdt0(X1,X1)) = sdtasdt0(smndt0(X0),smndt0(sdtasasdt0(X1,X1)))
      | ~ aScalar0(X0)
      | ~ aVector0(X1) ),
    inference(resolution,[],[f221,f796]) ).

fof(f859,plain,
    ! [X0] :
      ( sdtasdt0(X0,sdtlbdtrb0(xs,sz00)) = sdtasdt0(smndt0(X0),smndt0(sdtlbdtrb0(xs,sz00)))
      | ~ aScalar0(X0) ),
    inference(resolution,[],[f221,f573]) ).

fof(f858,plain,
    ! [X0] :
      ( sdtasdt0(X0,sdtlbdtrb0(xt,sz00)) = sdtasdt0(smndt0(X0),smndt0(sdtlbdtrb0(xt,sz00)))
      | ~ aScalar0(X0) ),
    inference(resolution,[],[f221,f506]) ).

fof(f857,plain,
    ! [X2,X0,X1] :
      ( sdtasdt0(X0,sdtlbdtrb0(X1,X2)) = sdtasdt0(smndt0(X0),smndt0(sdtlbdtrb0(X1,X2)))
      | ~ aScalar0(X0)
      | ~ aNaturalNumber0(X2)
      | ~ aVector0(X1) ),
    inference(resolution,[],[f221,f214]) ).

fof(f856,plain,
    ! [X0,X1] :
      ( sdtasdt0(X0,smndt0(X1)) = sdtasdt0(smndt0(X0),smndt0(smndt0(X1)))
      | ~ aScalar0(X0)
      | ~ aScalar0(X1) ),
    inference(resolution,[],[f221,f199]) ).

fof(f855,plain,
    ! [X2,X0,X1] :
      ( sdtasdt0(X0,sdtasdt0(X1,X2)) = sdtasdt0(smndt0(X0),smndt0(sdtasdt0(X1,X2)))
      | ~ aScalar0(X0)
      | ~ aScalar0(X2)
      | ~ aScalar0(X1) ),
    inference(resolution,[],[f221,f220]) ).

fof(f852,plain,
    ! [X2,X0,X1] :
      ( sdtasdt0(X0,sdtpldt0(X1,X2)) = sdtasdt0(smndt0(X0),smndt0(sdtpldt0(X1,X2)))
      | ~ aScalar0(X0)
      | ~ aScalar0(X2)
      | ~ aScalar0(X1) ),
    inference(resolution,[],[f221,f219]) ).

fof(f221,plain,
    ! [X0,X1] :
      ( ~ aScalar0(X1)
      | sdtasdt0(X0,X1) = sdtasdt0(smndt0(X0),smndt0(X1))
      | ~ aScalar0(X0) ),
    inference(cnf_transformation,[],[f103]) ).

fof(f103,plain,
    ! [X0,X1] :
      ( sdtasdt0(X0,X1) = sdtasdt0(smndt0(X0),smndt0(X1))
      | ~ aScalar0(X1)
      | ~ aScalar0(X0) ),
    inference(flattening,[],[f102]) ).

fof(f102,plain,
    ! [X0,X1] :
      ( sdtasdt0(X0,X1) = sdtasdt0(smndt0(X0),smndt0(X1))
      | ~ aScalar0(X1)
      | ~ aScalar0(X0) ),
    inference(ennf_transformation,[],[f18]) ).

fof(f18,axiom,
    ! [X0,X1] :
      ( ( aScalar0(X1)
        & aScalar0(X0) )
     => sdtasdt0(X0,X1) = sdtasdt0(smndt0(X0),smndt0(X1)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mMDNeg) ).

fof(f833,plain,
    ( aNaturalNumber0(szszuzczcdt0(sz00))
    | ~ aNaturalNumber0(sK4(szszuzczcdt0(sz00))) ),
    inference(superposition,[],[f187,f820]) ).

fof(f832,plain,
    ( iLess0(sK4(szszuzczcdt0(sz00)),szszuzczcdt0(sz00))
    | ~ aNaturalNumber0(sK4(szszuzczcdt0(sz00))) ),
    inference(superposition,[],[f186,f820]) ).

fof(f831,plain,
    ( sz00 != szszuzczcdt0(sz00)
    | ~ aNaturalNumber0(sK4(szszuzczcdt0(sz00))) ),
    inference(superposition,[],[f188,f820]) ).

fof(f830,plain,
    ! [X0] :
      ( szszuzczcdt0(X0) != szszuzczcdt0(sz00)
      | sK4(szszuzczcdt0(sz00)) = X0
      | ~ aNaturalNumber0(X0)
      | ~ aNaturalNumber0(sK4(szszuzczcdt0(sz00))) ),
    inference(superposition,[],[f213,f820]) ).

fof(f829,plain,
    ! [X0] :
      ( szszuzczcdt0(X0) != szszuzczcdt0(sz00)
      | sK4(szszuzczcdt0(sz00)) = X0
      | ~ aNaturalNumber0(sK4(szszuzczcdt0(sz00)))
      | ~ aNaturalNumber0(X0) ),
    inference(superposition,[],[f213,f820]) ).

fof(f820,plain,
    szszuzczcdt0(sz00) = szszuzczcdt0(sK4(szszuzczcdt0(sz00))),
    inference(resolution,[],[f647,f184]) ).

fof(f826,plain,
    ! [X0] :
      ( szszuzczcdt0(sK4(X0)) = szszuzczcdt0(sK4(szszuzczcdt0(sK4(X0))))
      | sz00 = X0
      | ~ aNaturalNumber0(X0) ),
    inference(resolution,[],[f647,f211]) ).

fof(f822,plain,
    ! [X0] :
      ( szszuzczcdt0(aDimensionOf0(X0)) = szszuzczcdt0(sK4(szszuzczcdt0(aDimensionOf0(X0))))
      | ~ aVector0(X0) ),
    inference(resolution,[],[f647,f189]) ).

fof(f821,plain,
    ! [X0] :
      ( szszuzczcdt0(szszuzczcdt0(X0)) = szszuzczcdt0(sK4(szszuzczcdt0(szszuzczcdt0(X0))))
      | ~ aNaturalNumber0(X0) ),
    inference(resolution,[],[f647,f187]) ).

fof(f647,plain,
    ! [X0] :
      ( ~ aNaturalNumber0(X0)
      | szszuzczcdt0(X0) = szszuzczcdt0(sK4(szszuzczcdt0(X0))) ),
    inference(subsumption_resolution,[],[f641,f188]) ).

fof(f641,plain,
    ! [X0] :
      ( sz00 = szszuzczcdt0(X0)
      | szszuzczcdt0(X0) = szszuzczcdt0(sK4(szszuzczcdt0(X0)))
      | ~ aNaturalNumber0(X0) ),
    inference(resolution,[],[f212,f187]) ).

fof(f814,plain,
    ! [X0] :
      ( aDimensionOf0(X0) = szszuzczcdt0(aDimensionOf0(sziznziztdt0(X0)))
      | sz00 = aDimensionOf0(X0)
      | ~ aVector0(X0) ),
    inference(resolution,[],[f606,f198]) ).

fof(f606,plain,
    ! [X0] :
      ( ~ sP1(X0)
      | aDimensionOf0(X0) = szszuzczcdt0(aDimensionOf0(sziznziztdt0(X0))) ),
    inference(resolution,[],[f194,f239]) ).

fof(f753,plain,
    sz0z00 = sdtasdt0(sz0z00,smndt0(sdtlbdtrb0(xs,sz00))),
    inference(resolution,[],[f366,f573]) ).

fof(f752,plain,
    sz0z00 = sdtasdt0(sz0z00,smndt0(sdtlbdtrb0(xt,sz00))),
    inference(resolution,[],[f366,f506]) ).

fof(f624,plain,
    sz0z00 = sdtasdt0(smndt0(sdtlbdtrb0(xs,sz00)),sz0z00),
    inference(resolution,[],[f351,f573]) ).

fof(f623,plain,
    sz0z00 = sdtasdt0(smndt0(sdtlbdtrb0(xt,sz00)),sz0z00),
    inference(resolution,[],[f351,f506]) ).

fof(f807,plain,
    ! [X0] :
      ( ~ aVector0(X0)
      | sz0z00 = sdtasdt0(sz0z00,smndt0(sdtasasdt0(X0,X0))) ),
    inference(resolution,[],[f796,f366]) ).

fof(f806,plain,
    ! [X0] :
      ( ~ aVector0(X0)
      | sz0z00 = sdtasdt0(smndt0(sdtasasdt0(X0,X0)),sz0z00) ),
    inference(resolution,[],[f796,f351]) ).

fof(f805,plain,
    ! [X0] :
      ( ~ aVector0(X0)
      | sz0z00 = sdtpldt0(smndt0(sdtasasdt0(X0,X0)),sdtasasdt0(X0,X0)) ),
    inference(resolution,[],[f796,f349]) ).

fof(f804,plain,
    ! [X0] :
      ( ~ aVector0(X0)
      | sz0z00 = sdtpldt0(sdtasasdt0(X0,X0),smndt0(sdtasasdt0(X0,X0))) ),
    inference(resolution,[],[f796,f348]) ).

fof(f803,plain,
    ! [X0] :
      ( ~ aVector0(X0)
      | sdtasasdt0(X0,X0) = smndt0(smndt0(sdtasasdt0(X0,X0))) ),
    inference(resolution,[],[f796,f295]) ).

fof(f802,plain,
    ! [X0] :
      ( ~ aVector0(X0)
      | sz0z00 = sdtasdt0(sz0z00,sdtasasdt0(X0,X0)) ),
    inference(resolution,[],[f796,f294]) ).

fof(f801,plain,
    ! [X0] :
      ( ~ aVector0(X0)
      | sz0z00 = sdtasdt0(sdtasasdt0(X0,X0),sz0z00) ),
    inference(resolution,[],[f796,f293]) ).

fof(f800,plain,
    ! [X0] :
      ( ~ aVector0(X0)
      | sdtasasdt0(X0,X0) = sdtpldt0(sz0z00,sdtasasdt0(X0,X0)) ),
    inference(resolution,[],[f796,f292]) ).

fof(f799,plain,
    ! [X0] :
      ( ~ aVector0(X0)
      | sdtasasdt0(X0,X0) = sdtpldt0(sdtasasdt0(X0,X0),sz0z00) ),
    inference(resolution,[],[f796,f291]) ).

fof(f796,plain,
    ! [X0] :
      ( aScalar0(sdtasasdt0(X0,X0))
      | ~ aVector0(X0) ),
    inference(duplicate_literal_removal,[],[f795]) ).

fof(f795,plain,
    ! [X0] :
      ( aScalar0(sdtasasdt0(X0,X0))
      | ~ aVector0(X0)
      | ~ aVector0(X0) ),
    inference(equality_resolution,[],[f215]) ).

fof(f798,plain,
    ! [X0] :
      ( aDimensionOf0(X0) != aDimensionOf0(xs)
      | aScalar0(sdtasasdt0(X0,xt))
      | ~ aVector0(X0) ),
    inference(subsumption_resolution,[],[f794,f158]) ).

fof(f794,plain,
    ! [X0] :
      ( aDimensionOf0(X0) != aDimensionOf0(xs)
      | aScalar0(sdtasasdt0(X0,xt))
      | ~ aVector0(xt)
      | ~ aVector0(X0) ),
    inference(superposition,[],[f215,f142]) ).

fof(f797,plain,
    ! [X0] :
      ( aDimensionOf0(X0) != aDimensionOf0(xs)
      | aScalar0(sdtasasdt0(xt,X0))
      | ~ aVector0(X0) ),
    inference(subsumption_resolution,[],[f793,f158]) ).

fof(f793,plain,
    ! [X0] :
      ( aDimensionOf0(X0) != aDimensionOf0(xs)
      | aScalar0(sdtasasdt0(xt,X0))
      | ~ aVector0(X0)
      | ~ aVector0(xt) ),
    inference(superposition,[],[f215,f142]) ).

fof(f215,plain,
    ! [X0,X1] :
      ( aDimensionOf0(X0) != aDimensionOf0(X1)
      | aScalar0(sdtasasdt0(X0,X1))
      | ~ aVector0(X1)
      | ~ aVector0(X0) ),
    inference(cnf_transformation,[],[f91]) ).

fof(f91,plain,
    ! [X0,X1] :
      ( aScalar0(sdtasasdt0(X0,X1))
      | aDimensionOf0(X0) != aDimensionOf0(X1)
      | ~ aVector0(X1)
      | ~ aVector0(X0) ),
    inference(flattening,[],[f90]) ).

fof(f90,plain,
    ! [X0,X1] :
      ( aScalar0(sdtasasdt0(X0,X1))
      | aDimensionOf0(X0) != aDimensionOf0(X1)
      | ~ aVector0(X1)
      | ~ aVector0(X0) ),
    inference(ennf_transformation,[],[f34]) ).

fof(f34,axiom,
    ! [X0,X1] :
      ( ( aVector0(X1)
        & aVector0(X0) )
     => ( aDimensionOf0(X0) = aDimensionOf0(X1)
       => aScalar0(sdtasasdt0(X0,X1)) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mScPr) ).

fof(f765,plain,
    sz0z00 = sdtasdt0(sz0z00,smndt0(xN)),
    inference(resolution,[],[f366,f165]) ).

fof(f764,plain,
    sz0z00 = sdtasdt0(sz0z00,smndt0(xS)),
    inference(resolution,[],[f366,f177]) ).

fof(f763,plain,
    sz0z00 = sdtasdt0(sz0z00,smndt0(xP)),
    inference(resolution,[],[f366,f181]) ).

fof(f762,plain,
    sz0z00 = sdtasdt0(sz0z00,smndt0(xR)),
    inference(resolution,[],[f366,f179]) ).

fof(f761,plain,
    sz0z00 = sdtasdt0(sz0z00,smndt0(xH)),
    inference(resolution,[],[f366,f161]) ).

fof(f760,plain,
    sz0z00 = sdtasdt0(sz0z00,smndt0(xG)),
    inference(resolution,[],[f366,f163]) ).

fof(f759,plain,
    sz0z00 = sdtasdt0(sz0z00,smndt0(xF)),
    inference(resolution,[],[f366,f159]) ).

fof(f758,plain,
    sz0z00 = sdtasdt0(sz0z00,smndt0(xE)),
    inference(resolution,[],[f366,f171]) ).

fof(f757,plain,
    sz0z00 = sdtasdt0(sz0z00,smndt0(xD)),
    inference(resolution,[],[f366,f169]) ).

fof(f775,plain,
    ! [X0] :
      ( szszuzczcdt0(X0) != aDimensionOf0(xs)
      | sK4(aDimensionOf0(xs)) = X0
      | ~ aNaturalNumber0(sK4(aDimensionOf0(xs)))
      | ~ aNaturalNumber0(X0) ),
    inference(superposition,[],[f213,f648]) ).

fof(f772,plain,
    ! [X0] :
      ( szszuzczcdt0(X0) != aDimensionOf0(xs)
      | sK4(aDimensionOf0(xs)) = X0
      | ~ aNaturalNumber0(X0)
      | ~ aNaturalNumber0(sK4(aDimensionOf0(xs))) ),
    inference(superposition,[],[f213,f648]) ).

fof(f213,plain,
    ! [X0,X1] :
      ( szszuzczcdt0(X0) != szszuzczcdt0(X1)
      | X0 = X1
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(cnf_transformation,[],[f87]) ).

fof(f87,plain,
    ! [X0,X1] :
      ( X0 = X1
      | szszuzczcdt0(X0) != szszuzczcdt0(X1)
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(flattening,[],[f86]) ).

fof(f86,plain,
    ! [X0,X1] :
      ( X0 = X1
      | szszuzczcdt0(X0) != szszuzczcdt0(X1)
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(ennf_transformation,[],[f5]) ).

fof(f5,axiom,
    ! [X0,X1] :
      ( ( aNaturalNumber0(X1)
        & aNaturalNumber0(X0) )
     => ( szszuzczcdt0(X0) = szszuzczcdt0(X1)
       => X0 = X1 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSuccEqu) ).

fof(f756,plain,
    sz0z00 = sdtasdt0(sz0z00,smndt0(xC)),
    inference(resolution,[],[f366,f167]) ).

fof(f755,plain,
    sz0z00 = sdtasdt0(sz0z00,smndt0(xB)),
    inference(resolution,[],[f366,f173]) ).

fof(f754,plain,
    sz0z00 = sdtasdt0(sz0z00,smndt0(xA)),
    inference(resolution,[],[f366,f175]) ).

fof(f751,plain,
    ! [X0,X1] :
      ( sz0z00 = sdtasdt0(sz0z00,smndt0(sdtlbdtrb0(X0,X1)))
      | ~ aNaturalNumber0(X1)
      | ~ aVector0(X0) ),
    inference(resolution,[],[f366,f214]) ).

fof(f750,plain,
    ! [X0] :
      ( sz0z00 = sdtasdt0(sz0z00,smndt0(smndt0(X0)))
      | ~ aScalar0(X0) ),
    inference(resolution,[],[f366,f199]) ).

fof(f749,plain,
    ! [X0,X1] :
      ( sz0z00 = sdtasdt0(sz0z00,smndt0(sdtasdt0(X0,X1)))
      | ~ aScalar0(X1)
      | ~ aScalar0(X0) ),
    inference(resolution,[],[f366,f220]) ).

fof(f746,plain,
    ! [X0,X1] :
      ( sz0z00 = sdtasdt0(sz0z00,smndt0(sdtpldt0(X0,X1)))
      | ~ aScalar0(X1)
      | ~ aScalar0(X0) ),
    inference(resolution,[],[f366,f219]) ).

fof(f366,plain,
    ! [X0] :
      ( ~ aScalar0(X0)
      | sz0z00 = sdtasdt0(sz0z00,smndt0(X0)) ),
    inference(resolution,[],[f294,f199]) ).

fof(f735,plain,
    ! [X0,X1] :
      ( ~ aNaturalNumber0(X0)
      | sdtlbdtrb0(X1,X0) = sdtlbdtrb0(sziznziztdt0(X1),X0)
      | ~ sP1(X1) ),
    inference(resolution,[],[f195,f239]) ).

fof(f195,plain,
    ! [X3,X0,X1] :
      ( ~ sP0(X0,X1)
      | ~ aNaturalNumber0(X3)
      | sdtlbdtrb0(X1,X3) = sdtlbdtrb0(X0,X3) ),
    inference(cnf_transformation,[],[f136]) ).

fof(f660,plain,
    ( iLess0(sK4(aDimensionOf0(xs)),aDimensionOf0(xs))
    | ~ aNaturalNumber0(sK4(aDimensionOf0(xs))) ),
    inference(superposition,[],[f186,f648]) ).

fof(f648,plain,
    aDimensionOf0(xs) = szszuzczcdt0(sK4(aDimensionOf0(xs))),
    inference(subsumption_resolution,[],[f643,f141]) ).

fof(f643,plain,
    ( sz00 = aDimensionOf0(xs)
    | aDimensionOf0(xs) = szszuzczcdt0(sK4(aDimensionOf0(xs))) ),
    inference(resolution,[],[f212,f242]) ).

fof(f636,plain,
    sz0z00 = sdtasdt0(smndt0(xN),sz0z00),
    inference(resolution,[],[f351,f165]) ).

fof(f635,plain,
    sz0z00 = sdtasdt0(smndt0(xS),sz0z00),
    inference(resolution,[],[f351,f177]) ).

fof(f634,plain,
    sz0z00 = sdtasdt0(smndt0(xP),sz0z00),
    inference(resolution,[],[f351,f181]) ).

fof(f633,plain,
    sz0z00 = sdtasdt0(smndt0(xR),sz0z00),
    inference(resolution,[],[f351,f179]) ).

fof(f632,plain,
    sz0z00 = sdtasdt0(smndt0(xH),sz0z00),
    inference(resolution,[],[f351,f161]) ).

fof(f631,plain,
    sz0z00 = sdtasdt0(smndt0(xG),sz0z00),
    inference(resolution,[],[f351,f163]) ).

fof(f630,plain,
    sz0z00 = sdtasdt0(smndt0(xF),sz0z00),
    inference(resolution,[],[f351,f159]) ).

fof(f629,plain,
    sz0z00 = sdtasdt0(smndt0(xE),sz0z00),
    inference(resolution,[],[f351,f171]) ).

fof(f628,plain,
    sz0z00 = sdtasdt0(smndt0(xD),sz0z00),
    inference(resolution,[],[f351,f169]) ).

fof(f627,plain,
    sz0z00 = sdtasdt0(smndt0(xC),sz0z00),
    inference(resolution,[],[f351,f167]) ).

fof(f646,plain,
    ! [X0] :
      ( sz00 = sK4(X0)
      | sK4(X0) = szszuzczcdt0(sK4(sK4(X0)))
      | sz00 = X0
      | ~ aNaturalNumber0(X0) ),
    inference(resolution,[],[f212,f211]) ).

fof(f642,plain,
    ! [X0] :
      ( sz00 = aDimensionOf0(X0)
      | aDimensionOf0(X0) = szszuzczcdt0(sK4(aDimensionOf0(X0)))
      | ~ aVector0(X0) ),
    inference(resolution,[],[f212,f189]) ).

fof(f212,plain,
    ! [X0] :
      ( ~ aNaturalNumber0(X0)
      | sz00 = X0
      | szszuzczcdt0(sK4(X0)) = X0 ),
    inference(cnf_transformation,[],[f139]) ).

fof(f139,plain,
    ! [X0] :
      ( ( szszuzczcdt0(sK4(X0)) = X0
        & aNaturalNumber0(sK4(X0)) )
      | sz00 = X0
      | ~ aNaturalNumber0(X0) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK4])],[f85,f138]) ).

fof(f138,plain,
    ! [X0] :
      ( ? [X1] :
          ( szszuzczcdt0(X1) = X0
          & aNaturalNumber0(X1) )
     => ( szszuzczcdt0(sK4(X0)) = X0
        & aNaturalNumber0(sK4(X0)) ) ),
    introduced(choice_axiom,[]) ).

fof(f85,plain,
    ! [X0] :
      ( ? [X1] :
          ( szszuzczcdt0(X1) = X0
          & aNaturalNumber0(X1) )
      | sz00 = X0
      | ~ aNaturalNumber0(X0) ),
    inference(flattening,[],[f84]) ).

fof(f84,plain,
    ! [X0] :
      ( ? [X1] :
          ( szszuzczcdt0(X1) = X0
          & aNaturalNumber0(X1) )
      | sz00 = X0
      | ~ aNaturalNumber0(X0) ),
    inference(ennf_transformation,[],[f4]) ).

fof(f4,axiom,
    ! [X0] :
      ( ( sz00 != X0
        & aNaturalNumber0(X0) )
     => ? [X1] :
          ( szszuzczcdt0(X1) = X0
          & aNaturalNumber0(X1) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mNatExtr) ).

fof(f626,plain,
    sz0z00 = sdtasdt0(smndt0(xB),sz0z00),
    inference(resolution,[],[f351,f173]) ).

fof(f625,plain,
    sz0z00 = sdtasdt0(smndt0(xA),sz0z00),
    inference(resolution,[],[f351,f175]) ).

fof(f622,plain,
    ! [X0,X1] :
      ( sz0z00 = sdtasdt0(smndt0(sdtlbdtrb0(X0,X1)),sz0z00)
      | ~ aNaturalNumber0(X1)
      | ~ aVector0(X0) ),
    inference(resolution,[],[f351,f214]) ).

fof(f621,plain,
    ! [X0] :
      ( sz0z00 = sdtasdt0(smndt0(smndt0(X0)),sz0z00)
      | ~ aScalar0(X0) ),
    inference(resolution,[],[f351,f199]) ).

fof(f620,plain,
    ! [X0,X1] :
      ( sz0z00 = sdtasdt0(smndt0(sdtasdt0(X0,X1)),sz0z00)
      | ~ aScalar0(X1)
      | ~ aScalar0(X0) ),
    inference(resolution,[],[f351,f220]) ).

fof(f619,plain,
    ! [X0,X1] :
      ( sz0z00 = sdtasdt0(smndt0(sdtpldt0(X0,X1)),sz0z00)
      | ~ aScalar0(X1)
      | ~ aScalar0(X0) ),
    inference(resolution,[],[f351,f219]) ).

fof(f351,plain,
    ! [X0] :
      ( ~ aScalar0(X0)
      | sz0z00 = sdtasdt0(smndt0(X0),sz0z00) ),
    inference(resolution,[],[f293,f199]) ).

fof(f600,plain,
    sz0z00 = sdtpldt0(smndt0(xN),xN),
    inference(resolution,[],[f349,f165]) ).

fof(f599,plain,
    sz0z00 = sdtpldt0(smndt0(xS),xS),
    inference(resolution,[],[f349,f177]) ).

fof(f598,plain,
    sz0z00 = sdtpldt0(smndt0(xP),xP),
    inference(resolution,[],[f349,f181]) ).

fof(f597,plain,
    sz0z00 = sdtpldt0(smndt0(xR),xR),
    inference(resolution,[],[f349,f179]) ).

fof(f596,plain,
    sz0z00 = sdtpldt0(smndt0(xH),xH),
    inference(resolution,[],[f349,f161]) ).

fof(f595,plain,
    sz0z00 = sdtpldt0(smndt0(xG),xG),
    inference(resolution,[],[f349,f163]) ).

fof(f594,plain,
    sz0z00 = sdtpldt0(smndt0(xF),xF),
    inference(resolution,[],[f349,f159]) ).

fof(f593,plain,
    sz0z00 = sdtpldt0(smndt0(xE),xE),
    inference(resolution,[],[f349,f171]) ).

fof(f194,plain,
    ! [X0,X1] :
      ( ~ sP0(X0,X1)
      | aDimensionOf0(X0) = szszuzczcdt0(aDimensionOf0(X1)) ),
    inference(cnf_transformation,[],[f136]) ).

fof(f592,plain,
    sz0z00 = sdtpldt0(smndt0(xD),xD),
    inference(resolution,[],[f349,f169]) ).

fof(f591,plain,
    sz0z00 = sdtpldt0(smndt0(xC),xC),
    inference(resolution,[],[f349,f167]) ).

fof(f590,plain,
    sz0z00 = sdtpldt0(smndt0(xB),xB),
    inference(resolution,[],[f349,f173]) ).

fof(f589,plain,
    sz0z00 = sdtpldt0(smndt0(xA),xA),
    inference(resolution,[],[f349,f175]) ).

fof(f588,plain,
    sz0z00 = sdtpldt0(smndt0(sdtlbdtrb0(xs,sz00)),sdtlbdtrb0(xs,sz00)),
    inference(resolution,[],[f349,f573]) ).

fof(f587,plain,
    sz0z00 = sdtpldt0(smndt0(sdtlbdtrb0(xt,sz00)),sdtlbdtrb0(xt,sz00)),
    inference(resolution,[],[f349,f506]) ).

fof(f586,plain,
    ! [X0,X1] :
      ( sz0z00 = sdtpldt0(smndt0(sdtlbdtrb0(X0,X1)),sdtlbdtrb0(X0,X1))
      | ~ aNaturalNumber0(X1)
      | ~ aVector0(X0) ),
    inference(resolution,[],[f349,f214]) ).

fof(f585,plain,
    ! [X0] :
      ( sz0z00 = sdtpldt0(smndt0(smndt0(X0)),smndt0(X0))
      | ~ aScalar0(X0) ),
    inference(resolution,[],[f349,f199]) ).

fof(f584,plain,
    ! [X0,X1] :
      ( sz0z00 = sdtpldt0(smndt0(sdtasdt0(X0,X1)),sdtasdt0(X0,X1))
      | ~ aScalar0(X1)
      | ~ aScalar0(X0) ),
    inference(resolution,[],[f349,f220]) ).

fof(f583,plain,
    ! [X0,X1] :
      ( sz0z00 = sdtpldt0(smndt0(sdtpldt0(X0,X1)),sdtpldt0(X0,X1))
      | ~ aScalar0(X1)
      | ~ aScalar0(X0) ),
    inference(resolution,[],[f349,f219]) ).

fof(f349,plain,
    ! [X0] :
      ( ~ aScalar0(X0)
      | sz0z00 = sdtpldt0(smndt0(X0),X0) ),
    inference(resolution,[],[f207,f210]) ).

fof(f577,plain,
    sz0z00 = sdtasdt0(sdtlbdtrb0(xs,sz00),sz0z00),
    inference(resolution,[],[f573,f293]) ).

fof(f576,plain,
    sz0z00 = sdtasdt0(sz0z00,sdtlbdtrb0(xs,sz00)),
    inference(resolution,[],[f573,f294]) ).

fof(f579,plain,
    sdtlbdtrb0(xs,sz00) = sdtpldt0(sdtlbdtrb0(xs,sz00),sz0z00),
    inference(resolution,[],[f573,f291]) ).

fof(f578,plain,
    sdtlbdtrb0(xs,sz00) = sdtpldt0(sz0z00,sdtlbdtrb0(xs,sz00)),
    inference(resolution,[],[f573,f292]) ).

fof(f575,plain,
    sdtlbdtrb0(xs,sz00) = smndt0(smndt0(sdtlbdtrb0(xs,sz00))),
    inference(resolution,[],[f573,f295]) ).

fof(f574,plain,
    sz0z00 = sdtpldt0(sdtlbdtrb0(xs,sz00),smndt0(sdtlbdtrb0(xs,sz00))),
    inference(resolution,[],[f573,f348]) ).

fof(f573,plain,
    aScalar0(sdtlbdtrb0(xs,sz00)),
    inference(subsumption_resolution,[],[f572,f153]) ).

fof(f572,plain,
    ( aScalar0(sdtlbdtrb0(xs,sz00))
    | ~ aVector0(xp) ),
    inference(subsumption_resolution,[],[f571,f184]) ).

fof(f571,plain,
    ( aScalar0(sdtlbdtrb0(xs,sz00))
    | ~ aNaturalNumber0(sz00)
    | ~ aVector0(xp) ),
    inference(superposition,[],[f214,f546]) ).

fof(f546,plain,
    sdtlbdtrb0(xp,sz00) = sdtlbdtrb0(xs,sz00),
    inference(resolution,[],[f155,f184]) ).

fof(f553,plain,
    xA = sdtlbdtrb0(xp,aDimensionOf0(xs)),
    inference(forward_demodulation,[],[f549,f176]) ).

fof(f549,plain,
    sdtlbdtrb0(xs,aDimensionOf0(xs)) = sdtlbdtrb0(xp,aDimensionOf0(xs)),
    inference(resolution,[],[f155,f242]) ).

fof(f544,plain,
    sz0z00 = sdtpldt0(xN,smndt0(xN)),
    inference(resolution,[],[f348,f165]) ).

fof(f192,plain,
    ! [X0,X1] :
      ( ~ sP0(X0,X1)
      | sziznziztdt0(X0) = X1
      | ~ sP1(X0) ),
    inference(cnf_transformation,[],[f131]) ).

fof(f131,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( sziznziztdt0(X0) = X1
            | ~ sP0(X0,X1) )
          & ( sP0(X0,X1)
            | sziznziztdt0(X0) != X1 ) )
      | ~ sP1(X0) ),
    inference(nnf_transformation,[],[f127]) ).

fof(f127,plain,
    ! [X0] :
      ( ! [X1] :
          ( sziznziztdt0(X0) = X1
        <=> sP0(X0,X1) )
      | ~ sP1(X0) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).

fof(f543,plain,
    sz0z00 = sdtpldt0(xS,smndt0(xS)),
    inference(resolution,[],[f348,f177]) ).

fof(f542,plain,
    sz0z00 = sdtpldt0(xP,smndt0(xP)),
    inference(resolution,[],[f348,f181]) ).

fof(f541,plain,
    sz0z00 = sdtpldt0(xR,smndt0(xR)),
    inference(resolution,[],[f348,f179]) ).

fof(f540,plain,
    sz0z00 = sdtpldt0(xH,smndt0(xH)),
    inference(resolution,[],[f348,f161]) ).

fof(f539,plain,
    sz0z00 = sdtpldt0(xG,smndt0(xG)),
    inference(resolution,[],[f348,f163]) ).

fof(f538,plain,
    sz0z00 = sdtpldt0(xF,smndt0(xF)),
    inference(resolution,[],[f348,f159]) ).

fof(f537,plain,
    sz0z00 = sdtpldt0(xE,smndt0(xE)),
    inference(resolution,[],[f348,f171]) ).

fof(f536,plain,
    sz0z00 = sdtpldt0(xD,smndt0(xD)),
    inference(resolution,[],[f348,f169]) ).

fof(f535,plain,
    sz0z00 = sdtpldt0(xC,smndt0(xC)),
    inference(resolution,[],[f348,f167]) ).

fof(f534,plain,
    sz0z00 = sdtpldt0(xB,smndt0(xB)),
    inference(resolution,[],[f348,f173]) ).

fof(f533,plain,
    sz0z00 = sdtpldt0(xA,smndt0(xA)),
    inference(resolution,[],[f348,f175]) ).

fof(f552,plain,
    ! [X0] :
      ( sdtlbdtrb0(xp,sK4(X0)) = sdtlbdtrb0(xs,sK4(X0))
      | sz00 = X0
      | ~ aNaturalNumber0(X0) ),
    inference(resolution,[],[f155,f211]) ).

fof(f548,plain,
    ! [X0] :
      ( sdtlbdtrb0(xp,aDimensionOf0(X0)) = sdtlbdtrb0(xs,aDimensionOf0(X0))
      | ~ aVector0(X0) ),
    inference(resolution,[],[f155,f189]) ).

fof(f547,plain,
    ! [X0] :
      ( sdtlbdtrb0(xp,szszuzczcdt0(X0)) = sdtlbdtrb0(xs,szszuzczcdt0(X0))
      | ~ aNaturalNumber0(X0) ),
    inference(resolution,[],[f155,f187]) ).

fof(f155,plain,
    ! [X0] :
      ( ~ aNaturalNumber0(X0)
      | sdtlbdtrb0(xp,X0) = sdtlbdtrb0(xs,X0) ),
    inference(cnf_transformation,[],[f71]) ).

fof(f71,plain,
    ( xp = sziznziztdt0(xs)
    & ! [X0] :
        ( sdtlbdtrb0(xp,X0) = sdtlbdtrb0(xs,X0)
        | ~ aNaturalNumber0(X0) )
    & aDimensionOf0(xs) = szszuzczcdt0(aDimensionOf0(xp))
    & aVector0(xp) ),
    inference(ennf_transformation,[],[f42]) ).

fof(f42,axiom,
    ( xp = sziznziztdt0(xs)
    & ! [X0] :
        ( aNaturalNumber0(X0)
       => sdtlbdtrb0(xp,X0) = sdtlbdtrb0(xs,X0) )
    & aDimensionOf0(xs) = szszuzczcdt0(aDimensionOf0(xp))
    & aVector0(xp) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1709) ).

fof(f532,plain,
    sz0z00 = sdtpldt0(sdtlbdtrb0(xt,sz00),smndt0(sdtlbdtrb0(xt,sz00))),
    inference(resolution,[],[f348,f506]) ).

fof(f531,plain,
    ! [X0,X1] :
      ( sz0z00 = sdtpldt0(sdtlbdtrb0(X0,X1),smndt0(sdtlbdtrb0(X0,X1)))
      | ~ aNaturalNumber0(X1)
      | ~ aVector0(X0) ),
    inference(resolution,[],[f348,f214]) ).

fof(f530,plain,
    ! [X0] :
      ( sz0z00 = sdtpldt0(smndt0(X0),smndt0(smndt0(X0)))
      | ~ aScalar0(X0) ),
    inference(resolution,[],[f348,f199]) ).

fof(f529,plain,
    ! [X0,X1] :
      ( sz0z00 = sdtpldt0(sdtasdt0(X0,X1),smndt0(sdtasdt0(X0,X1)))
      | ~ aScalar0(X1)
      | ~ aScalar0(X0) ),
    inference(resolution,[],[f348,f220]) ).

fof(f528,plain,
    ! [X0,X1] :
      ( sz0z00 = sdtpldt0(sdtpldt0(X0,X1),smndt0(sdtpldt0(X0,X1)))
      | ~ aScalar0(X1)
      | ~ aScalar0(X0) ),
    inference(resolution,[],[f348,f219]) ).

fof(f348,plain,
    ! [X0] :
      ( ~ aScalar0(X0)
      | sz0z00 = sdtpldt0(X0,smndt0(X0)) ),
    inference(resolution,[],[f206,f210]) ).

fof(f248,plain,
    ( iLess0(aDimensionOf0(xq),aDimensionOf0(xs))
    | ~ aNaturalNumber0(aDimensionOf0(xq)) ),
    inference(superposition,[],[f186,f243]) ).

fof(f509,plain,
    sz0z00 = sdtasdt0(sdtlbdtrb0(xt,sz00),sz0z00),
    inference(resolution,[],[f506,f293]) ).

fof(f508,plain,
    sz0z00 = sdtasdt0(sz0z00,sdtlbdtrb0(xt,sz00)),
    inference(resolution,[],[f506,f294]) ).

fof(f511,plain,
    sdtlbdtrb0(xt,sz00) = sdtpldt0(sdtlbdtrb0(xt,sz00),sz0z00),
    inference(resolution,[],[f506,f291]) ).

fof(f510,plain,
    sdtlbdtrb0(xt,sz00) = sdtpldt0(sz0z00,sdtlbdtrb0(xt,sz00)),
    inference(resolution,[],[f506,f292]) ).

fof(f507,plain,
    sdtlbdtrb0(xt,sz00) = smndt0(smndt0(sdtlbdtrb0(xt,sz00))),
    inference(resolution,[],[f506,f295]) ).

fof(f506,plain,
    aScalar0(sdtlbdtrb0(xt,sz00)),
    inference(subsumption_resolution,[],[f505,f149]) ).

fof(f505,plain,
    ( aScalar0(sdtlbdtrb0(xt,sz00))
    | ~ aVector0(xq) ),
    inference(subsumption_resolution,[],[f504,f184]) ).

fof(f504,plain,
    ( aScalar0(sdtlbdtrb0(xt,sz00))
    | ~ aNaturalNumber0(sz00)
    | ~ aVector0(xq) ),
    inference(superposition,[],[f214,f496]) ).

fof(f496,plain,
    sdtlbdtrb0(xq,sz00) = sdtlbdtrb0(xt,sz00),
    inference(resolution,[],[f151,f184]) ).

fof(f502,plain,
    xB = sdtlbdtrb0(xq,aDimensionOf0(xs)),
    inference(forward_demodulation,[],[f499,f245]) ).

fof(f499,plain,
    sdtlbdtrb0(xt,aDimensionOf0(xs)) = sdtlbdtrb0(xq,aDimensionOf0(xs)),
    inference(resolution,[],[f151,f242]) ).

fof(f501,plain,
    ! [X0] :
      ( sdtlbdtrb0(xq,sK4(X0)) = sdtlbdtrb0(xt,sK4(X0))
      | sz00 = X0
      | ~ aNaturalNumber0(X0) ),
    inference(resolution,[],[f151,f211]) ).

fof(f498,plain,
    ! [X0] :
      ( sdtlbdtrb0(xq,aDimensionOf0(X0)) = sdtlbdtrb0(xt,aDimensionOf0(X0))
      | ~ aVector0(X0) ),
    inference(resolution,[],[f151,f189]) ).

fof(f497,plain,
    ! [X0] :
      ( sdtlbdtrb0(xq,szszuzczcdt0(X0)) = sdtlbdtrb0(xt,szszuzczcdt0(X0))
      | ~ aNaturalNumber0(X0) ),
    inference(resolution,[],[f151,f187]) ).

fof(f151,plain,
    ! [X0] :
      ( ~ aNaturalNumber0(X0)
      | sdtlbdtrb0(xq,X0) = sdtlbdtrb0(xt,X0) ),
    inference(cnf_transformation,[],[f70]) ).

fof(f70,plain,
    ( xq = sziznziztdt0(xt)
    & ! [X0] :
        ( sdtlbdtrb0(xq,X0) = sdtlbdtrb0(xt,X0)
        | ~ aNaturalNumber0(X0) )
    & aDimensionOf0(xt) = szszuzczcdt0(aDimensionOf0(xq))
    & aVector0(xq) ),
    inference(ennf_transformation,[],[f43]) ).

fof(f43,axiom,
    ( xq = sziznziztdt0(xt)
    & ! [X0] :
        ( aNaturalNumber0(X0)
       => sdtlbdtrb0(xq,X0) = sdtlbdtrb0(xt,X0) )
    & aDimensionOf0(xt) = szszuzczcdt0(aDimensionOf0(xq))
    & aVector0(xq) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1726) ).

fof(f247,plain,
    ( iLess0(aDimensionOf0(xp),aDimensionOf0(xs))
    | ~ aNaturalNumber0(aDimensionOf0(xp)) ),
    inference(superposition,[],[f186,f154]) ).

fof(f448,plain,
    ! [X0,X1] :
      ( ~ aScalar0(X0)
      | ~ aScalar0(X1)
      | sdtasdt0(X1,X0) = sdtpldt0(sdtasdt0(X1,X0),sz0z00) ),
    inference(resolution,[],[f220,f291]) ).

fof(f447,plain,
    ! [X0,X1] :
      ( ~ aScalar0(X0)
      | ~ aScalar0(X1)
      | sdtasdt0(X1,X0) = sdtpldt0(sz0z00,sdtasdt0(X1,X0)) ),
    inference(resolution,[],[f220,f292]) ).

fof(f446,plain,
    ! [X0,X1] :
      ( ~ aScalar0(X0)
      | ~ aScalar0(X1)
      | sz0z00 = sdtasdt0(sdtasdt0(X1,X0),sz0z00) ),
    inference(resolution,[],[f220,f293]) ).

fof(f445,plain,
    ! [X0,X1] :
      ( ~ aScalar0(X0)
      | ~ aScalar0(X1)
      | sz0z00 = sdtasdt0(sz0z00,sdtasdt0(X1,X0)) ),
    inference(resolution,[],[f220,f294]) ).

fof(f444,plain,
    ! [X0,X1] :
      ( ~ aScalar0(X0)
      | ~ aScalar0(X1)
      | sdtasdt0(X1,X0) = smndt0(smndt0(sdtasdt0(X1,X0))) ),
    inference(resolution,[],[f220,f295]) ).

fof(f220,plain,
    ! [X0,X1] :
      ( aScalar0(sdtasdt0(X0,X1))
      | ~ aScalar0(X1)
      | ~ aScalar0(X0) ),
    inference(cnf_transformation,[],[f101]) ).

fof(f101,plain,
    ! [X0,X1] :
      ( aScalar0(sdtasdt0(X0,X1))
      | ~ aScalar0(X1)
      | ~ aScalar0(X0) ),
    inference(flattening,[],[f100]) ).

fof(f100,plain,
    ! [X0,X1] :
      ( aScalar0(sdtasdt0(X0,X1))
      | ~ aScalar0(X1)
      | ~ aScalar0(X0) ),
    inference(ennf_transformation,[],[f11]) ).

fof(f11,axiom,
    ! [X0,X1] :
      ( ( aScalar0(X1)
        & aScalar0(X0) )
     => aScalar0(sdtasdt0(X0,X1)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mMulSc) ).

fof(f399,plain,
    xN = smndt0(smndt0(xN)),
    inference(resolution,[],[f295,f165]) ).

fof(f398,plain,
    xS = smndt0(smndt0(xS)),
    inference(resolution,[],[f295,f177]) ).

fof(f397,plain,
    xP = smndt0(smndt0(xP)),
    inference(resolution,[],[f295,f181]) ).

fof(f396,plain,
    xR = smndt0(smndt0(xR)),
    inference(resolution,[],[f295,f179]) ).

fof(f395,plain,
    xH = smndt0(smndt0(xH)),
    inference(resolution,[],[f295,f161]) ).

fof(f394,plain,
    xG = smndt0(smndt0(xG)),
    inference(resolution,[],[f295,f163]) ).

fof(f393,plain,
    xF = smndt0(smndt0(xF)),
    inference(resolution,[],[f295,f159]) ).

fof(f410,plain,
    ! [X0,X1] :
      ( ~ aScalar0(X0)
      | ~ aScalar0(X1)
      | sdtpldt0(X1,X0) = sdtpldt0(sdtpldt0(X1,X0),sz0z00) ),
    inference(resolution,[],[f219,f291]) ).

fof(f409,plain,
    ! [X0,X1] :
      ( ~ aScalar0(X0)
      | ~ aScalar0(X1)
      | sdtpldt0(X1,X0) = sdtpldt0(sz0z00,sdtpldt0(X1,X0)) ),
    inference(resolution,[],[f219,f292]) ).

fof(f408,plain,
    ! [X0,X1] :
      ( ~ aScalar0(X0)
      | ~ aScalar0(X1)
      | sz0z00 = sdtasdt0(sdtpldt0(X1,X0),sz0z00) ),
    inference(resolution,[],[f219,f293]) ).

fof(f407,plain,
    ! [X0,X1] :
      ( ~ aScalar0(X0)
      | ~ aScalar0(X1)
      | sz0z00 = sdtasdt0(sz0z00,sdtpldt0(X1,X0)) ),
    inference(resolution,[],[f219,f294]) ).

fof(f406,plain,
    ! [X0,X1] :
      ( ~ aScalar0(X0)
      | ~ aScalar0(X1)
      | sdtpldt0(X1,X0) = smndt0(smndt0(sdtpldt0(X1,X0))) ),
    inference(resolution,[],[f219,f295]) ).

fof(f219,plain,
    ! [X0,X1] :
      ( aScalar0(sdtpldt0(X0,X1))
      | ~ aScalar0(X1)
      | ~ aScalar0(X0) ),
    inference(cnf_transformation,[],[f99]) ).

fof(f99,plain,
    ! [X0,X1] :
      ( aScalar0(sdtpldt0(X0,X1))
      | ~ aScalar0(X1)
      | ~ aScalar0(X0) ),
    inference(flattening,[],[f98]) ).

fof(f98,plain,
    ! [X0,X1] :
      ( aScalar0(sdtpldt0(X0,X1))
      | ~ aScalar0(X1)
      | ~ aScalar0(X0) ),
    inference(ennf_transformation,[],[f10]) ).

fof(f10,axiom,
    ! [X0,X1] :
      ( ( aScalar0(X1)
        & aScalar0(X0) )
     => aScalar0(sdtpldt0(X0,X1)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSumSc) ).

fof(f392,plain,
    xE = smndt0(smndt0(xE)),
    inference(resolution,[],[f295,f171]) ).

fof(f391,plain,
    xD = smndt0(smndt0(xD)),
    inference(resolution,[],[f295,f169]) ).

fof(f390,plain,
    xC = smndt0(smndt0(xC)),
    inference(resolution,[],[f295,f167]) ).

fof(f389,plain,
    xB = smndt0(smndt0(xB)),
    inference(resolution,[],[f295,f173]) ).

fof(f388,plain,
    xA = smndt0(smndt0(xA)),
    inference(resolution,[],[f295,f175]) ).

fof(f387,plain,
    ! [X0,X1] :
      ( sdtlbdtrb0(X0,X1) = smndt0(smndt0(sdtlbdtrb0(X0,X1)))
      | ~ aNaturalNumber0(X1)
      | ~ aVector0(X0) ),
    inference(resolution,[],[f295,f214]) ).

fof(f386,plain,
    ! [X0] :
      ( smndt0(X0) = smndt0(smndt0(smndt0(X0)))
      | ~ aScalar0(X0) ),
    inference(resolution,[],[f295,f199]) ).

fof(f295,plain,
    ! [X0] :
      ( ~ aScalar0(X0)
      | smndt0(smndt0(X0)) = X0 ),
    inference(resolution,[],[f208,f210]) ).

fof(f378,plain,
    sz0z00 = sdtasdt0(sz0z00,xN),
    inference(resolution,[],[f294,f165]) ).

fof(f377,plain,
    sz0z00 = sdtasdt0(sz0z00,xS),
    inference(resolution,[],[f294,f177]) ).

fof(f376,plain,
    sz0z00 = sdtasdt0(sz0z00,xP),
    inference(resolution,[],[f294,f181]) ).

fof(f375,plain,
    sz0z00 = sdtasdt0(sz0z00,xR),
    inference(resolution,[],[f294,f179]) ).

fof(f374,plain,
    sz0z00 = sdtasdt0(sz0z00,xH),
    inference(resolution,[],[f294,f161]) ).

fof(f382,plain,
    ! [X0,X1] :
      ( ~ aNaturalNumber0(X0)
      | ~ aVector0(X1)
      | sdtlbdtrb0(X1,X0) = sdtpldt0(sdtlbdtrb0(X1,X0),sz0z00) ),
    inference(resolution,[],[f214,f291]) ).

fof(f381,plain,
    ! [X0,X1] :
      ( ~ aNaturalNumber0(X0)
      | ~ aVector0(X1)
      | sdtlbdtrb0(X1,X0) = sdtpldt0(sz0z00,sdtlbdtrb0(X1,X0)) ),
    inference(resolution,[],[f214,f292]) ).

fof(f380,plain,
    ! [X0,X1] :
      ( ~ aNaturalNumber0(X0)
      | ~ aVector0(X1)
      | sz0z00 = sdtasdt0(sdtlbdtrb0(X1,X0),sz0z00) ),
    inference(resolution,[],[f214,f293]) ).

fof(f379,plain,
    ! [X0,X1] :
      ( ~ aNaturalNumber0(X0)
      | ~ aVector0(X1)
      | sz0z00 = sdtasdt0(sz0z00,sdtlbdtrb0(X1,X0)) ),
    inference(resolution,[],[f214,f294]) ).

fof(f214,plain,
    ! [X0,X1] :
      ( aScalar0(sdtlbdtrb0(X0,X1))
      | ~ aNaturalNumber0(X1)
      | ~ aVector0(X0) ),
    inference(cnf_transformation,[],[f89]) ).

fof(f89,plain,
    ! [X0,X1] :
      ( aScalar0(sdtlbdtrb0(X0,X1))
      | ~ aNaturalNumber0(X1)
      | ~ aVector0(X0) ),
    inference(flattening,[],[f88]) ).

fof(f88,plain,
    ! [X0,X1] :
      ( aScalar0(sdtlbdtrb0(X0,X1))
      | ~ aNaturalNumber0(X1)
      | ~ aVector0(X0) ),
    inference(ennf_transformation,[],[f31]) ).

fof(f31,axiom,
    ! [X0,X1] :
      ( ( aNaturalNumber0(X1)
        & aVector0(X0) )
     => aScalar0(sdtlbdtrb0(X0,X1)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mElmSc) ).

fof(f373,plain,
    sz0z00 = sdtasdt0(sz0z00,xG),
    inference(resolution,[],[f294,f163]) ).

fof(f372,plain,
    sz0z00 = sdtasdt0(sz0z00,xF),
    inference(resolution,[],[f294,f159]) ).

fof(f371,plain,
    sz0z00 = sdtasdt0(sz0z00,xE),
    inference(resolution,[],[f294,f171]) ).

fof(f370,plain,
    sz0z00 = sdtasdt0(sz0z00,xD),
    inference(resolution,[],[f294,f169]) ).

fof(f369,plain,
    sz0z00 = sdtasdt0(sz0z00,xC),
    inference(resolution,[],[f294,f167]) ).

fof(f368,plain,
    sz0z00 = sdtasdt0(sz0z00,xB),
    inference(resolution,[],[f294,f173]) ).

fof(f367,plain,
    sz0z00 = sdtasdt0(sz0z00,xA),
    inference(resolution,[],[f294,f175]) ).

fof(f294,plain,
    ! [X0] :
      ( ~ aScalar0(X0)
      | sz0z00 = sdtasdt0(sz0z00,X0) ),
    inference(resolution,[],[f205,f210]) ).

fof(f350,plain,
    sz0z00 = sdtasdt0(sz0z00,sz0z00),
    inference(resolution,[],[f293,f185]) ).

fof(f363,plain,
    sz0z00 = sdtasdt0(xN,sz0z00),
    inference(resolution,[],[f293,f165]) ).

fof(f362,plain,
    sz0z00 = sdtasdt0(xS,sz0z00),
    inference(resolution,[],[f293,f177]) ).

fof(f211,plain,
    ! [X0] :
      ( aNaturalNumber0(sK4(X0))
      | sz00 = X0
      | ~ aNaturalNumber0(X0) ),
    inference(cnf_transformation,[],[f139]) ).

fof(f361,plain,
    sz0z00 = sdtasdt0(xP,sz0z00),
    inference(resolution,[],[f293,f181]) ).

fof(f360,plain,
    sz0z00 = sdtasdt0(xR,sz0z00),
    inference(resolution,[],[f293,f179]) ).

fof(f359,plain,
    sz0z00 = sdtasdt0(xH,sz0z00),
    inference(resolution,[],[f293,f161]) ).

fof(f358,plain,
    sz0z00 = sdtasdt0(xG,sz0z00),
    inference(resolution,[],[f293,f163]) ).

fof(f357,plain,
    sz0z00 = sdtasdt0(xF,sz0z00),
    inference(resolution,[],[f293,f159]) ).

fof(f356,plain,
    sz0z00 = sdtasdt0(xE,sz0z00),
    inference(resolution,[],[f293,f171]) ).

fof(f355,plain,
    sz0z00 = sdtasdt0(xD,sz0z00),
    inference(resolution,[],[f293,f169]) ).

fof(f354,plain,
    sz0z00 = sdtasdt0(xC,sz0z00),
    inference(resolution,[],[f293,f167]) ).

fof(f353,plain,
    sz0z00 = sdtasdt0(xB,sz0z00),
    inference(resolution,[],[f293,f173]) ).

fof(f352,plain,
    sz0z00 = sdtasdt0(xA,sz0z00),
    inference(resolution,[],[f293,f175]) ).

fof(f293,plain,
    ! [X0] :
      ( ~ aScalar0(X0)
      | sz0z00 = sdtasdt0(X0,sz0z00) ),
    inference(resolution,[],[f204,f210]) ).

fof(f207,plain,
    ! [X0] :
      ( ~ sP2(X0)
      | sz0z00 = sdtpldt0(smndt0(X0),X0) ),
    inference(cnf_transformation,[],[f137]) ).

fof(f137,plain,
    ! [X0] :
      ( ( sz0z00 = smndt0(sz0z00)
        & smndt0(smndt0(X0)) = X0
        & sz0z00 = sdtpldt0(smndt0(X0),X0)
        & sz0z00 = sdtpldt0(X0,smndt0(X0))
        & sz0z00 = sdtasdt0(sz0z00,X0)
        & sz0z00 = sdtasdt0(X0,sz0z00)
        & sdtpldt0(sz0z00,X0) = X0
        & sdtpldt0(X0,sz0z00) = X0 )
      | ~ sP2(X0) ),
    inference(nnf_transformation,[],[f129]) ).

fof(f129,plain,
    ! [X0] :
      ( ( sz0z00 = smndt0(sz0z00)
        & smndt0(smndt0(X0)) = X0
        & sz0z00 = sdtpldt0(smndt0(X0),X0)
        & sz0z00 = sdtpldt0(X0,smndt0(X0))
        & sz0z00 = sdtasdt0(sz0z00,X0)
        & sz0z00 = sdtasdt0(X0,sz0z00)
        & sdtpldt0(sz0z00,X0) = X0
        & sdtpldt0(X0,sz0z00) = X0 )
      | ~ sP2(X0) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP2])]) ).

fof(f347,plain,
    xN = sdtpldt0(sz0z00,xN),
    inference(resolution,[],[f292,f165]) ).

fof(f346,plain,
    xS = sdtpldt0(sz0z00,xS),
    inference(resolution,[],[f292,f177]) ).

fof(f345,plain,
    xP = sdtpldt0(sz0z00,xP),
    inference(resolution,[],[f292,f181]) ).

fof(f344,plain,
    xR = sdtpldt0(sz0z00,xR),
    inference(resolution,[],[f292,f179]) ).

fof(f343,plain,
    xH = sdtpldt0(sz0z00,xH),
    inference(resolution,[],[f292,f161]) ).

fof(f342,plain,
    xG = sdtpldt0(sz0z00,xG),
    inference(resolution,[],[f292,f163]) ).

fof(f341,plain,
    xF = sdtpldt0(sz0z00,xF),
    inference(resolution,[],[f292,f159]) ).

fof(f340,plain,
    xE = sdtpldt0(sz0z00,xE),
    inference(resolution,[],[f292,f171]) ).

fof(f339,plain,
    xD = sdtpldt0(sz0z00,xD),
    inference(resolution,[],[f292,f169]) ).

fof(f338,plain,
    xC = sdtpldt0(sz0z00,xC),
    inference(resolution,[],[f292,f167]) ).

fof(f337,plain,
    xB = sdtpldt0(sz0z00,xB),
    inference(resolution,[],[f292,f173]) ).

fof(f206,plain,
    ! [X0] :
      ( ~ sP2(X0)
      | sz0z00 = sdtpldt0(X0,smndt0(X0)) ),
    inference(cnf_transformation,[],[f137]) ).

fof(f336,plain,
    xA = sdtpldt0(sz0z00,xA),
    inference(resolution,[],[f292,f175]) ).

fof(f292,plain,
    ! [X0] :
      ( ~ aScalar0(X0)
      | sdtpldt0(sz0z00,X0) = X0 ),
    inference(resolution,[],[f203,f210]) ).

fof(f296,plain,
    sz0z00 = sdtpldt0(sz0z00,sz0z00),
    inference(resolution,[],[f291,f185]) ).

fof(f309,plain,
    xN = sdtpldt0(xN,sz0z00),
    inference(resolution,[],[f291,f165]) ).

fof(f308,plain,
    xS = sdtpldt0(xS,sz0z00),
    inference(resolution,[],[f291,f177]) ).

fof(f307,plain,
    xP = sdtpldt0(xP,sz0z00),
    inference(resolution,[],[f291,f181]) ).

fof(f198,plain,
    ! [X0] :
      ( sP1(X0)
      | sz00 = aDimensionOf0(X0)
      | ~ aVector0(X0) ),
    inference(cnf_transformation,[],[f128]) ).

fof(f128,plain,
    ! [X0] :
      ( sP1(X0)
      | sz00 = aDimensionOf0(X0)
      | ~ aVector0(X0) ),
    inference(definition_folding,[],[f79,f127,f126]) ).

fof(f79,plain,
    ! [X0] :
      ( ! [X1] :
          ( sziznziztdt0(X0) = X1
        <=> ( ! [X2] :
                ( sdtlbdtrb0(X1,X2) = sdtlbdtrb0(X0,X2)
                | ~ aNaturalNumber0(X2) )
            & aDimensionOf0(X0) = szszuzczcdt0(aDimensionOf0(X1))
            & aVector0(X1) ) )
      | sz00 = aDimensionOf0(X0)
      | ~ aVector0(X0) ),
    inference(flattening,[],[f78]) ).

fof(f78,plain,
    ! [X0] :
      ( ! [X1] :
          ( sziznziztdt0(X0) = X1
        <=> ( ! [X2] :
                ( sdtlbdtrb0(X1,X2) = sdtlbdtrb0(X0,X2)
                | ~ aNaturalNumber0(X2) )
            & aDimensionOf0(X0) = szszuzczcdt0(aDimensionOf0(X1))
            & aVector0(X1) ) )
      | sz00 = aDimensionOf0(X0)
      | ~ aVector0(X0) ),
    inference(ennf_transformation,[],[f32]) ).

fof(f32,axiom,
    ! [X0] :
      ( aVector0(X0)
     => ( sz00 != aDimensionOf0(X0)
       => ! [X1] :
            ( sziznziztdt0(X0) = X1
          <=> ( ! [X2] :
                  ( aNaturalNumber0(X2)
                 => sdtlbdtrb0(X1,X2) = sdtlbdtrb0(X0,X2) )
              & aDimensionOf0(X0) = szszuzczcdt0(aDimensionOf0(X1))
              & aVector0(X1) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefInit) ).

fof(f306,plain,
    xR = sdtpldt0(xR,sz0z00),
    inference(resolution,[],[f291,f179]) ).

fof(f305,plain,
    xH = sdtpldt0(xH,sz0z00),
    inference(resolution,[],[f291,f161]) ).

fof(f304,plain,
    xG = sdtpldt0(xG,sz0z00),
    inference(resolution,[],[f291,f163]) ).

fof(f303,plain,
    xF = sdtpldt0(xF,sz0z00),
    inference(resolution,[],[f291,f159]) ).

fof(f302,plain,
    xE = sdtpldt0(xE,sz0z00),
    inference(resolution,[],[f291,f171]) ).

fof(f301,plain,
    xD = sdtpldt0(xD,sz0z00),
    inference(resolution,[],[f291,f169]) ).

fof(f300,plain,
    xC = sdtpldt0(xC,sz0z00),
    inference(resolution,[],[f291,f167]) ).

fof(f299,plain,
    xB = sdtpldt0(xB,sz0z00),
    inference(resolution,[],[f291,f173]) ).

fof(f298,plain,
    xA = sdtpldt0(xA,sz0z00),
    inference(resolution,[],[f291,f175]) ).

fof(f140,plain,
    ( ~ sdtlseqdt0(sz0z00,sdtpldt0(xP,xP))
    | ~ sdtlseqdt0(sz0z00,sdtpldt0(xR,xS)) ),
    inference(cnf_transformation,[],[f69]) ).

fof(f69,plain,
    ( ~ sdtlseqdt0(sz0z00,sdtpldt0(xP,xP))
    | ~ sdtlseqdt0(sz0z00,sdtpldt0(xR,xS)) ),
    inference(ennf_transformation,[],[f63]) ).

fof(f63,negated_conjecture,
    ~ ( sdtlseqdt0(sz0z00,sdtpldt0(xP,xP))
      & sdtlseqdt0(sz0z00,sdtpldt0(xR,xS)) ),
    inference(negated_conjecture,[],[f62]) ).

fof(f62,conjecture,
    ( sdtlseqdt0(sz0z00,sdtpldt0(xP,xP))
    & sdtlseqdt0(sz0z00,sdtpldt0(xR,xS)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).

fof(f291,plain,
    ! [X0] :
      ( ~ aScalar0(X0)
      | sdtpldt0(X0,sz0z00) = X0 ),
    inference(resolution,[],[f202,f210]) ).

fof(f208,plain,
    ! [X0] :
      ( ~ sP2(X0)
      | smndt0(smndt0(X0)) = X0 ),
    inference(cnf_transformation,[],[f137]) ).

fof(f205,plain,
    ! [X0] :
      ( ~ sP2(X0)
      | sz0z00 = sdtasdt0(sz0z00,X0) ),
    inference(cnf_transformation,[],[f137]) ).

fof(f204,plain,
    ! [X0] :
      ( ~ sP2(X0)
      | sz0z00 = sdtasdt0(X0,sz0z00) ),
    inference(cnf_transformation,[],[f137]) ).

fof(f203,plain,
    ! [X0] :
      ( ~ sP2(X0)
      | sdtpldt0(sz0z00,X0) = X0 ),
    inference(cnf_transformation,[],[f137]) ).

fof(f202,plain,
    ! [X0] :
      ( ~ sP2(X0)
      | sdtpldt0(X0,sz0z00) = X0 ),
    inference(cnf_transformation,[],[f137]) ).

fof(f290,plain,
    sdtlseqdt0(sz0z00,xG),
    inference(subsumption_resolution,[],[f288,f173]) ).

fof(f288,plain,
    ( sdtlseqdt0(sz0z00,xG)
    | ~ aScalar0(xB) ),
    inference(superposition,[],[f201,f164]) ).

fof(f289,plain,
    sdtlseqdt0(sz0z00,xF),
    inference(subsumption_resolution,[],[f287,f175]) ).

fof(f287,plain,
    ( sdtlseqdt0(sz0z00,xF)
    | ~ aScalar0(xA) ),
    inference(superposition,[],[f201,f160]) ).

fof(f201,plain,
    ! [X0] :
      ( sdtlseqdt0(sz0z00,sdtasdt0(X0,X0))
      | ~ aScalar0(X0) ),
    inference(cnf_transformation,[],[f82]) ).

fof(f82,plain,
    ! [X0] :
      ( sdtlseqdt0(sz0z00,sdtasdt0(X0,X0))
      | ~ aScalar0(X0) ),
    inference(ennf_transformation,[],[f27]) ).

fof(f27,axiom,
    ! [X0] :
      ( aScalar0(X0)
     => sdtlseqdt0(sz0z00,sdtasdt0(X0,X0)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSqPos) ).

fof(f286,plain,
    sdtlseqdt0(sz0z00,xD),
    inference(subsumption_resolution,[],[f284,f149]) ).

fof(f284,plain,
    ( sdtlseqdt0(sz0z00,xD)
    | ~ aVector0(xq) ),
    inference(superposition,[],[f190,f170]) ).

fof(f285,plain,
    sdtlseqdt0(sz0z00,xC),
    inference(subsumption_resolution,[],[f283,f153]) ).

fof(f283,plain,
    ( sdtlseqdt0(sz0z00,xC)
    | ~ aVector0(xp) ),
    inference(superposition,[],[f190,f168]) ).

fof(f190,plain,
    ! [X0] :
      ( sdtlseqdt0(sz0z00,sdtasasdt0(X0,X0))
      | ~ aVector0(X0) ),
    inference(cnf_transformation,[],[f77]) ).

fof(f77,plain,
    ! [X0] :
      ( sdtlseqdt0(sz0z00,sdtasasdt0(X0,X0))
      | ~ aVector0(X0) ),
    inference(ennf_transformation,[],[f37]) ).

fof(f37,axiom,
    ! [X0] :
      ( aVector0(X0)
     => sdtlseqdt0(sz0z00,sdtasasdt0(X0,X0)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mScSqPos) ).

fof(f146,plain,
    sdtlseqdt0(sdtasdt0(xE,xE),sdtasdt0(xC,xD)),
    inference(cnf_transformation,[],[f56]) ).

fof(f56,axiom,
    sdtlseqdt0(sdtasdt0(xE,xE),sdtasdt0(xC,xD)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1967) ).

fof(f145,plain,
    sdtlseqdt0(sdtpldt0(xR,xS),sdtpldt0(xP,xP)),
    inference(cnf_transformation,[],[f61]) ).

fof(f61,axiom,
    sdtlseqdt0(sdtpldt0(xR,xS),sdtpldt0(xP,xP)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2610) ).

fof(f260,plain,
    ! [X0] :
      ( aVector0(sziznziztdt0(X0))
      | ~ sP1(X0) ),
    inference(resolution,[],[f239,f193]) ).

fof(f262,plain,
    ( sP0(xs,xp)
    | ~ sP1(xs) ),
    inference(superposition,[],[f239,f156]) ).

fof(f261,plain,
    ( sP0(xt,xq)
    | ~ sP1(xt) ),
    inference(superposition,[],[f239,f152]) ).

fof(f239,plain,
    ! [X0] :
      ( sP0(X0,sziznziztdt0(X0))
      | ~ sP1(X0) ),
    inference(equality_resolution,[],[f191]) ).

fof(f191,plain,
    ! [X0,X1] :
      ( sP0(X0,X1)
      | sziznziztdt0(X0) != X1
      | ~ sP1(X0) ),
    inference(cnf_transformation,[],[f131]) ).

fof(f209,plain,
    ! [X0] :
      ( sz0z00 = smndt0(sz0z00)
      | ~ sP2(X0) ),
    inference(cnf_transformation,[],[f137]) ).

fof(f188,plain,
    ! [X0] :
      ( sz00 != szszuzczcdt0(X0)
      | ~ aNaturalNumber0(X0) ),
    inference(cnf_transformation,[],[f75]) ).

fof(f75,plain,
    ! [X0] :
      ( ( sz00 != szszuzczcdt0(X0)
        & aNaturalNumber0(szszuzczcdt0(X0)) )
      | ~ aNaturalNumber0(X0) ),
    inference(ennf_transformation,[],[f3]) ).

fof(f3,axiom,
    ! [X0] :
      ( aNaturalNumber0(X0)
     => ( sz00 != szszuzczcdt0(X0)
        & aNaturalNumber0(szszuzczcdt0(X0)) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSuccNat) ).

fof(f186,plain,
    ! [X0] :
      ( iLess0(X0,szszuzczcdt0(X0))
      | ~ aNaturalNumber0(X0) ),
    inference(cnf_transformation,[],[f74]) ).

fof(f74,plain,
    ! [X0] :
      ( iLess0(X0,szszuzczcdt0(X0))
      | ~ aNaturalNumber0(X0) ),
    inference(ennf_transformation,[],[f7]) ).

fof(f7,axiom,
    ! [X0] :
      ( aNaturalNumber0(X0)
     => iLess0(X0,szszuzczcdt0(X0)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mIH) ).

fof(f245,plain,
    xB = sdtlbdtrb0(xt,aDimensionOf0(xs)),
    inference(forward_demodulation,[],[f174,f142]) ).

fof(f243,plain,
    aDimensionOf0(xs) = szszuzczcdt0(aDimensionOf0(xq)),
    inference(forward_demodulation,[],[f150,f142]) ).

fof(f176,plain,
    xA = sdtlbdtrb0(xs,aDimensionOf0(xs)),
    inference(cnf_transformation,[],[f44]) ).

fof(f44,axiom,
    ( xA = sdtlbdtrb0(xs,aDimensionOf0(xs))
    & aScalar0(xA) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1746) ).

fof(f154,plain,
    aDimensionOf0(xs) = szszuzczcdt0(aDimensionOf0(xp)),
    inference(cnf_transformation,[],[f71]) ).

fof(f200,plain,
    ! [X0] :
      ( sdtlseqdt0(X0,X0)
      | ~ aScalar0(X0) ),
    inference(cnf_transformation,[],[f81]) ).

fof(f81,plain,
    ! [X0] :
      ( sdtlseqdt0(X0,X0)
      | ~ aScalar0(X0) ),
    inference(ennf_transformation,[],[f20]) ).

fof(f20,axiom,
    ! [X0] :
      ( aScalar0(X0)
     => sdtlseqdt0(X0,X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mLERef) ).

fof(f199,plain,
    ! [X0] :
      ( aScalar0(smndt0(X0))
      | ~ aScalar0(X0) ),
    inference(cnf_transformation,[],[f80]) ).

fof(f80,plain,
    ! [X0] :
      ( aScalar0(smndt0(X0))
      | ~ aScalar0(X0) ),
    inference(ennf_transformation,[],[f12]) ).

fof(f12,axiom,
    ! [X0] :
      ( aScalar0(X0)
     => aScalar0(smndt0(X0)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mNegSc) ).

fof(f193,plain,
    ! [X0,X1] :
      ( ~ sP0(X0,X1)
      | aVector0(X1) ),
    inference(cnf_transformation,[],[f136]) ).

fof(f242,plain,
    aNaturalNumber0(aDimensionOf0(xs)),
    inference(subsumption_resolution,[],[f241,f158]) ).

fof(f241,plain,
    ( aNaturalNumber0(aDimensionOf0(xs))
    | ~ aVector0(xt) ),
    inference(superposition,[],[f189,f142]) ).

fof(f189,plain,
    ! [X0] :
      ( aNaturalNumber0(aDimensionOf0(X0))
      | ~ aVector0(X0) ),
    inference(cnf_transformation,[],[f76]) ).

fof(f76,plain,
    ! [X0] :
      ( aNaturalNumber0(aDimensionOf0(X0))
      | ~ aVector0(X0) ),
    inference(ennf_transformation,[],[f30]) ).

fof(f30,axiom,
    ! [X0] :
      ( aVector0(X0)
     => aNaturalNumber0(aDimensionOf0(X0)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDimNat) ).

fof(f187,plain,
    ! [X0] :
      ( aNaturalNumber0(szszuzczcdt0(X0))
      | ~ aNaturalNumber0(X0) ),
    inference(cnf_transformation,[],[f75]) ).

fof(f182,plain,
    xP = sdtasdt0(xE,xH),
    inference(cnf_transformation,[],[f53]) ).

fof(f180,plain,
    xR = sdtasdt0(xC,xG),
    inference(cnf_transformation,[],[f52]) ).

fof(f178,plain,
    xS = sdtasdt0(xF,xD),
    inference(cnf_transformation,[],[f54]) ).

fof(f172,plain,
    xE = sdtasasdt0(xp,xq),
    inference(cnf_transformation,[],[f48]) ).

fof(f48,axiom,
    ( xE = sdtasasdt0(xp,xq)
    & aScalar0(xE) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1820) ).

fof(f170,plain,
    xD = sdtasasdt0(xq,xq),
    inference(cnf_transformation,[],[f47]) ).

fof(f168,plain,
    xC = sdtasasdt0(xp,xp),
    inference(cnf_transformation,[],[f46]) ).

fof(f166,plain,
    xN = sdtasdt0(xR,xS),
    inference(cnf_transformation,[],[f55]) ).

fof(f164,plain,
    xG = sdtasdt0(xB,xB),
    inference(cnf_transformation,[],[f50]) ).

fof(f162,plain,
    xH = sdtasdt0(xA,xB),
    inference(cnf_transformation,[],[f51]) ).

fof(f51,axiom,
    ( xH = sdtasdt0(xA,xB)
    & aScalar0(xH) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1873) ).

fof(f160,plain,
    xF = sdtasdt0(xA,xA),
    inference(cnf_transformation,[],[f49]) ).

fof(f143,plain,
    sdtlseqdt0(sdtasdt0(xP,xP),xN),
    inference(cnf_transformation,[],[f57]) ).

fof(f57,axiom,
    sdtlseqdt0(sdtasdt0(xP,xP),xN),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2004) ).

fof(f142,plain,
    aDimensionOf0(xs) = aDimensionOf0(xt),
    inference(cnf_transformation,[],[f40]) ).

fof(f40,axiom,
    aDimensionOf0(xs) = aDimensionOf0(xt),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1678_01) ).

fof(f210,plain,
    ! [X0] :
      ( sP2(X0)
      | ~ aScalar0(X0) ),
    inference(cnf_transformation,[],[f130]) ).

fof(f130,plain,
    ! [X0] :
      ( sP2(X0)
      | ~ aScalar0(X0) ),
    inference(definition_folding,[],[f83,f129]) ).

fof(f83,plain,
    ! [X0] :
      ( ( sz0z00 = smndt0(sz0z00)
        & smndt0(smndt0(X0)) = X0
        & sz0z00 = sdtpldt0(smndt0(X0),X0)
        & sz0z00 = sdtpldt0(X0,smndt0(X0))
        & sz0z00 = sdtasdt0(sz0z00,X0)
        & sz0z00 = sdtasdt0(X0,sz0z00)
        & sdtpldt0(sz0z00,X0) = X0
        & sdtpldt0(X0,sz0z00) = X0 )
      | ~ aScalar0(X0) ),
    inference(ennf_transformation,[],[f13]) ).

fof(f13,axiom,
    ! [X0] :
      ( aScalar0(X0)
     => ( sz0z00 = smndt0(sz0z00)
        & smndt0(smndt0(X0)) = X0
        & sz0z00 = sdtpldt0(smndt0(X0),X0)
        & sz0z00 = sdtpldt0(X0,smndt0(X0))
        & sz0z00 = sdtasdt0(sz0z00,X0)
        & sz0z00 = sdtasdt0(X0,sz0z00)
        & sdtpldt0(sz0z00,X0) = X0
        & sdtpldt0(X0,sz0z00) = X0 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mScZero) ).

fof(f156,plain,
    xp = sziznziztdt0(xs),
    inference(cnf_transformation,[],[f71]) ).

fof(f152,plain,
    xq = sziznziztdt0(xt),
    inference(cnf_transformation,[],[f70]) ).

fof(f141,plain,
    sz00 != aDimensionOf0(xs),
    inference(cnf_transformation,[],[f41]) ).

fof(f41,axiom,
    sz00 != aDimensionOf0(xs),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1692) ).

fof(f184,plain,
    aNaturalNumber0(sz00),
    inference(cnf_transformation,[],[f2]) ).

fof(f2,axiom,
    aNaturalNumber0(sz00),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mZeroNat) ).

fof(f175,plain,
    aScalar0(xA),
    inference(cnf_transformation,[],[f44]) ).

fof(f173,plain,
    aScalar0(xB),
    inference(cnf_transformation,[],[f45]) ).

fof(f45,axiom,
    ( xB = sdtlbdtrb0(xt,aDimensionOf0(xt))
    & aScalar0(xB) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1766) ).

fof(f171,plain,
    aScalar0(xE),
    inference(cnf_transformation,[],[f48]) ).

fof(f161,plain,
    aScalar0(xH),
    inference(cnf_transformation,[],[f51]) ).

fof(f158,plain,
    aVector0(xt),
    inference(cnf_transformation,[],[f38]) ).

fof(f38,axiom,
    ( aVector0(xt)
    & aVector0(xs) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1678) ).

fof(f157,plain,
    aVector0(xs),
    inference(cnf_transformation,[],[f38]) ).

fof(f153,plain,
    aVector0(xp),
    inference(cnf_transformation,[],[f71]) ).

fof(f149,plain,
    aVector0(xq),
    inference(cnf_transformation,[],[f70]) ).

fof(f238,plain,
    ! [X2,X3,X0,X1] :
      ( sdtlseqdt0(sdtasdt0(X0,X2),sdtasdt0(X1,X3))
      | ~ sdtlseqdt0(X2,X3)
      | ~ sdtlseqdt0(sz0z00,X2)
      | ~ sdtlseqdt0(X0,X1)
      | ~ aScalar0(X3)
      | ~ aScalar0(X2)
      | ~ aScalar0(X1)
      | ~ aScalar0(X0) ),
    inference(cnf_transformation,[],[f125]) ).

fof(f125,plain,
    ! [X0,X1,X2,X3] :
      ( sdtlseqdt0(sdtasdt0(X0,X2),sdtasdt0(X1,X3))
      | ~ sdtlseqdt0(X2,X3)
      | ~ sdtlseqdt0(sz0z00,X2)
      | ~ sdtlseqdt0(X0,X1)
      | ~ aScalar0(X3)
      | ~ aScalar0(X2)
      | ~ aScalar0(X1)
      | ~ aScalar0(X0) ),
    inference(flattening,[],[f124]) ).

fof(f124,plain,
    ! [X0,X1,X2,X3] :
      ( sdtlseqdt0(sdtasdt0(X0,X2),sdtasdt0(X1,X3))
      | ~ sdtlseqdt0(X2,X3)
      | ~ sdtlseqdt0(sz0z00,X2)
      | ~ sdtlseqdt0(X0,X1)
      | ~ aScalar0(X3)
      | ~ aScalar0(X2)
      | ~ aScalar0(X1)
      | ~ aScalar0(X0) ),
    inference(ennf_transformation,[],[f24]) ).

fof(f24,axiom,
    ! [X0,X1,X2,X3] :
      ( ( aScalar0(X3)
        & aScalar0(X2)
        & aScalar0(X1)
        & aScalar0(X0) )
     => ( ( sdtlseqdt0(X2,X3)
          & sdtlseqdt0(sz0z00,X2)
          & sdtlseqdt0(X0,X1) )
       => sdtlseqdt0(sdtasdt0(X0,X2),sdtasdt0(X1,X3)) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mLEMonM) ).

fof(f237,plain,
    ! [X2,X3,X0,X1] :
      ( sdtlseqdt0(sdtpldt0(X0,X2),sdtpldt0(X1,X3))
      | ~ sdtlseqdt0(X2,X3)
      | ~ sdtlseqdt0(X0,X1)
      | ~ aScalar0(X3)
      | ~ aScalar0(X2)
      | ~ aScalar0(X1)
      | ~ aScalar0(X0) ),
    inference(cnf_transformation,[],[f123]) ).

fof(f123,plain,
    ! [X0,X1,X2,X3] :
      ( sdtlseqdt0(sdtpldt0(X0,X2),sdtpldt0(X1,X3))
      | ~ sdtlseqdt0(X2,X3)
      | ~ sdtlseqdt0(X0,X1)
      | ~ aScalar0(X3)
      | ~ aScalar0(X2)
      | ~ aScalar0(X1)
      | ~ aScalar0(X0) ),
    inference(flattening,[],[f122]) ).

fof(f122,plain,
    ! [X0,X1,X2,X3] :
      ( sdtlseqdt0(sdtpldt0(X0,X2),sdtpldt0(X1,X3))
      | ~ sdtlseqdt0(X2,X3)
      | ~ sdtlseqdt0(X0,X1)
      | ~ aScalar0(X3)
      | ~ aScalar0(X2)
      | ~ aScalar0(X1)
      | ~ aScalar0(X0) ),
    inference(ennf_transformation,[],[f23]) ).

fof(f23,axiom,
    ! [X0,X1,X2,X3] :
      ( ( aScalar0(X3)
        & aScalar0(X2)
        & aScalar0(X1)
        & aScalar0(X0) )
     => ( ( sdtlseqdt0(X2,X3)
          & sdtlseqdt0(X0,X1) )
       => sdtlseqdt0(sdtpldt0(X0,X2),sdtpldt0(X1,X3)) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mLEMon) ).

fof(f236,plain,
    ! [X2,X3,X0,X1] :
      ( sdtasdt0(sdtpldt0(X0,X1),sdtpldt0(X2,X3)) = sdtpldt0(sdtpldt0(sdtasdt0(X0,X2),sdtasdt0(X0,X3)),sdtpldt0(sdtasdt0(X1,X2),sdtasdt0(X1,X3)))
      | ~ aScalar0(X3)
      | ~ aScalar0(X2)
      | ~ aScalar0(X1)
      | ~ aScalar0(X0) ),
    inference(cnf_transformation,[],[f121]) ).

fof(f121,plain,
    ! [X0,X1,X2,X3] :
      ( sdtasdt0(sdtpldt0(X0,X1),sdtpldt0(X2,X3)) = sdtpldt0(sdtpldt0(sdtasdt0(X0,X2),sdtasdt0(X0,X3)),sdtpldt0(sdtasdt0(X1,X2),sdtasdt0(X1,X3)))
      | ~ aScalar0(X3)
      | ~ aScalar0(X2)
      | ~ aScalar0(X1)
      | ~ aScalar0(X0) ),
    inference(flattening,[],[f120]) ).

fof(f120,plain,
    ! [X0,X1,X2,X3] :
      ( sdtasdt0(sdtpldt0(X0,X1),sdtpldt0(X2,X3)) = sdtpldt0(sdtpldt0(sdtasdt0(X0,X2),sdtasdt0(X0,X3)),sdtpldt0(sdtasdt0(X1,X2),sdtasdt0(X1,X3)))
      | ~ aScalar0(X3)
      | ~ aScalar0(X2)
      | ~ aScalar0(X1)
      | ~ aScalar0(X0) ),
    inference(ennf_transformation,[],[f16]) ).

fof(f16,axiom,
    ! [X0,X1,X2,X3] :
      ( ( aScalar0(X3)
        & aScalar0(X2)
        & aScalar0(X1)
        & aScalar0(X0) )
     => sdtasdt0(sdtpldt0(X0,X1),sdtpldt0(X2,X3)) = sdtpldt0(sdtpldt0(sdtasdt0(X0,X2),sdtasdt0(X0,X3)),sdtpldt0(sdtasdt0(X1,X2),sdtasdt0(X1,X3))) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDistr2) ).

fof(f233,plain,
    ! [X2,X0,X1] :
      ( ~ aScalar0(X2)
      | sdtasdt0(X0,sdtpldt0(X1,X2)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2))
      | ~ aScalar0(X1)
      | ~ aScalar0(X0) ),
    inference(cnf_transformation,[],[f117]) ).

fof(f117,plain,
    ! [X0,X1,X2] :
      ( ( sdtasdt0(sdtpldt0(X0,X1),X2) = sdtpldt0(sdtasdt0(X0,X2),sdtasdt0(X1,X2))
        & sdtasdt0(X0,sdtpldt0(X1,X2)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2)) )
      | ~ aScalar0(X2)
      | ~ aScalar0(X1)
      | ~ aScalar0(X0) ),
    inference(flattening,[],[f116]) ).

fof(f116,plain,
    ! [X0,X1,X2] :
      ( ( sdtasdt0(sdtpldt0(X0,X1),X2) = sdtpldt0(sdtasdt0(X0,X2),sdtasdt0(X1,X2))
        & sdtasdt0(X0,sdtpldt0(X1,X2)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2)) )
      | ~ aScalar0(X2)
      | ~ aScalar0(X1)
      | ~ aScalar0(X0) ),
    inference(ennf_transformation,[],[f15]) ).

fof(f15,axiom,
    ! [X0,X1,X2] :
      ( ( aScalar0(X2)
        & aScalar0(X1)
        & aScalar0(X0) )
     => ( sdtasdt0(sdtpldt0(X0,X1),X2) = sdtpldt0(sdtasdt0(X0,X2),sdtasdt0(X1,X2))
        & sdtasdt0(X0,sdtpldt0(X1,X2)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2)) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDistr) ).

fof(f234,plain,
    ! [X2,X0,X1] :
      ( ~ aScalar0(X2)
      | sdtasdt0(sdtpldt0(X0,X1),X2) = sdtpldt0(sdtasdt0(X0,X2),sdtasdt0(X1,X2))
      | ~ aScalar0(X1)
      | ~ aScalar0(X0) ),
    inference(cnf_transformation,[],[f117]) ).

fof(f229,plain,
    ! [X2,X0,X1] :
      ( ~ aScalar0(X2)
      | sdtpldt0(sdtpldt0(X0,X1),X2) = sdtpldt0(X0,sdtpldt0(X1,X2))
      | ~ aScalar0(X1)
      | ~ aScalar0(X0) ),
    inference(cnf_transformation,[],[f115]) ).

fof(f231,plain,
    ! [X2,X0,X1] :
      ( ~ aScalar0(X2)
      | sdtasdt0(sdtasdt0(X0,X1),X2) = sdtasdt0(X0,sdtasdt0(X1,X2))
      | ~ aScalar0(X1)
      | ~ aScalar0(X0) ),
    inference(cnf_transformation,[],[f115]) ).

fof(f226,plain,
    ! [X0,X1] :
      ( X0 = X1
      | sdtasdt0(X0,X0) != sdtasdt0(X1,X1)
      | ~ sdtlseqdt0(sz0z00,X1)
      | ~ sdtlseqdt0(sz0z00,X0)
      | ~ aScalar0(X1)
      | ~ aScalar0(X0) ),
    inference(cnf_transformation,[],[f111]) ).

fof(f111,plain,
    ! [X0,X1] :
      ( X0 = X1
      | sdtasdt0(X0,X0) != sdtasdt0(X1,X1)
      | ~ sdtlseqdt0(sz0z00,X1)
      | ~ sdtlseqdt0(sz0z00,X0)
      | ~ aScalar0(X1)
      | ~ aScalar0(X0) ),
    inference(flattening,[],[f110]) ).

fof(f110,plain,
    ! [X0,X1] :
      ( X0 = X1
      | sdtasdt0(X0,X0) != sdtasdt0(X1,X1)
      | ~ sdtlseqdt0(sz0z00,X1)
      | ~ sdtlseqdt0(sz0z00,X0)
      | ~ aScalar0(X1)
      | ~ aScalar0(X0) ),
    inference(ennf_transformation,[],[f28]) ).

fof(f28,axiom,
    ! [X0,X1] :
      ( ( aScalar0(X1)
        & aScalar0(X0) )
     => ( ( sdtasdt0(X0,X0) = sdtasdt0(X1,X1)
          & sdtlseqdt0(sz0z00,X1)
          & sdtlseqdt0(sz0z00,X0) )
       => X0 = X1 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSqrt) ).

fof(f240,plain,
    ! [X0,X1] :
      ( sz00 != aDimensionOf0(X1)
      | sz0z00 = sdtasasdt0(X0,X1)
      | sz00 != aDimensionOf0(X0)
      | ~ aVector0(X1)
      | ~ aVector0(X0) ),
    inference(inner_rewriting,[],[f218]) ).

fof(f218,plain,
    ! [X0,X1] :
      ( sz0z00 = sdtasasdt0(X0,X1)
      | sz00 != aDimensionOf0(X1)
      | aDimensionOf0(X0) != aDimensionOf0(X1)
      | ~ aVector0(X1)
      | ~ aVector0(X0) ),
    inference(cnf_transformation,[],[f97]) ).

fof(f97,plain,
    ! [X0,X1] :
      ( sz0z00 = sdtasasdt0(X0,X1)
      | sz00 != aDimensionOf0(X1)
      | aDimensionOf0(X0) != aDimensionOf0(X1)
      | ~ aVector0(X1)
      | ~ aVector0(X0) ),
    inference(flattening,[],[f96]) ).

fof(f96,plain,
    ! [X0,X1] :
      ( sz0z00 = sdtasasdt0(X0,X1)
      | sz00 != aDimensionOf0(X1)
      | aDimensionOf0(X0) != aDimensionOf0(X1)
      | ~ aVector0(X1)
      | ~ aVector0(X0) ),
    inference(ennf_transformation,[],[f35]) ).

fof(f35,axiom,
    ! [X0,X1] :
      ( ( aVector0(X1)
        & aVector0(X0) )
     => ( ( sz00 = aDimensionOf0(X1)
          & aDimensionOf0(X0) = aDimensionOf0(X1) )
       => sz0z00 = sdtasasdt0(X0,X1) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefSPZ) ).

fof(f217,plain,
    ! [X0,X1] :
      ( sdtasasdt0(X0,X1) = sdtpldt0(sdtasasdt0(sziznziztdt0(X0),sziznziztdt0(X1)),sdtasdt0(sdtlbdtrb0(X0,aDimensionOf0(X0)),sdtlbdtrb0(X1,aDimensionOf0(X1))))
      | sz00 = aDimensionOf0(X1)
      | aDimensionOf0(X0) != aDimensionOf0(X1)
      | ~ aVector0(X1)
      | ~ aVector0(X0) ),
    inference(cnf_transformation,[],[f95]) ).

fof(f95,plain,
    ! [X0,X1] :
      ( sdtasasdt0(X0,X1) = sdtpldt0(sdtasasdt0(sziznziztdt0(X0),sziznziztdt0(X1)),sdtasdt0(sdtlbdtrb0(X0,aDimensionOf0(X0)),sdtlbdtrb0(X1,aDimensionOf0(X1))))
      | sz00 = aDimensionOf0(X1)
      | aDimensionOf0(X0) != aDimensionOf0(X1)
      | ~ aVector0(X1)
      | ~ aVector0(X0) ),
    inference(flattening,[],[f94]) ).

fof(f94,plain,
    ! [X0,X1] :
      ( sdtasasdt0(X0,X1) = sdtpldt0(sdtasasdt0(sziznziztdt0(X0),sziznziztdt0(X1)),sdtasdt0(sdtlbdtrb0(X0,aDimensionOf0(X0)),sdtlbdtrb0(X1,aDimensionOf0(X1))))
      | sz00 = aDimensionOf0(X1)
      | aDimensionOf0(X0) != aDimensionOf0(X1)
      | ~ aVector0(X1)
      | ~ aVector0(X0) ),
    inference(ennf_transformation,[],[f36]) ).

fof(f36,axiom,
    ! [X0,X1] :
      ( ( aVector0(X1)
        & aVector0(X0) )
     => ( ( sz00 != aDimensionOf0(X1)
          & aDimensionOf0(X0) = aDimensionOf0(X1) )
       => sdtasasdt0(X0,X1) = sdtpldt0(sdtasasdt0(sziznziztdt0(X0),sziznziztdt0(X1)),sdtasdt0(sdtlbdtrb0(X0,aDimensionOf0(X0)),sdtlbdtrb0(X1,aDimensionOf0(X1)))) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefSPN) ).

fof(f216,plain,
    ! [X0,X1] :
      ( aDimensionOf0(X0) != aDimensionOf0(X1)
      | sz00 = aDimensionOf0(X1)
      | aDimensionOf0(sziznziztdt0(X0)) = aDimensionOf0(sziznziztdt0(X1))
      | ~ aVector0(X1)
      | ~ aVector0(X0) ),
    inference(cnf_transformation,[],[f93]) ).

fof(f93,plain,
    ! [X0,X1] :
      ( aDimensionOf0(sziznziztdt0(X0)) = aDimensionOf0(sziznziztdt0(X1))
      | sz00 = aDimensionOf0(X1)
      | aDimensionOf0(X0) != aDimensionOf0(X1)
      | ~ aVector0(X1)
      | ~ aVector0(X0) ),
    inference(flattening,[],[f92]) ).

fof(f92,plain,
    ! [X0,X1] :
      ( aDimensionOf0(sziznziztdt0(X0)) = aDimensionOf0(sziznziztdt0(X1))
      | sz00 = aDimensionOf0(X1)
      | aDimensionOf0(X0) != aDimensionOf0(X1)
      | ~ aVector0(X1)
      | ~ aVector0(X0) ),
    inference(ennf_transformation,[],[f33]) ).

fof(f33,axiom,
    ! [X0,X1] :
      ( ( aVector0(X1)
        & aVector0(X0) )
     => ( ( sz00 != aDimensionOf0(X1)
          & aDimensionOf0(X0) = aDimensionOf0(X1) )
       => aDimensionOf0(sziznziztdt0(X0)) = aDimensionOf0(sziznziztdt0(X1)) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mEqInit) ).

fof(f197,plain,
    ! [X0,X1] :
      ( sP0(X0,X1)
      | sdtlbdtrb0(X1,sK3(X0,X1)) != sdtlbdtrb0(X0,sK3(X0,X1))
      | aDimensionOf0(X0) != szszuzczcdt0(aDimensionOf0(X1))
      | ~ aVector0(X1) ),
    inference(cnf_transformation,[],[f136]) ).

fof(f183,plain,
    ! [X0,X1] :
      ( sdtlseqdt0(sdtasdt0(sdtasasdt0(X0,X1),sdtasasdt0(X0,X1)),sdtasdt0(sdtasasdt0(X0,X0),sdtasasdt0(X1,X1)))
      | ~ iLess0(aDimensionOf0(X0),aDimensionOf0(xs))
      | aDimensionOf0(X0) != aDimensionOf0(X1)
      | ~ aVector0(X1)
      | ~ aVector0(X0) ),
    inference(cnf_transformation,[],[f73]) ).

fof(f73,plain,
    ! [X0,X1] :
      ( sdtlseqdt0(sdtasdt0(sdtasasdt0(X0,X1),sdtasasdt0(X0,X1)),sdtasdt0(sdtasasdt0(X0,X0),sdtasasdt0(X1,X1)))
      | ~ iLess0(aDimensionOf0(X0),aDimensionOf0(xs))
      | aDimensionOf0(X0) != aDimensionOf0(X1)
      | ~ aVector0(X1)
      | ~ aVector0(X0) ),
    inference(flattening,[],[f72]) ).

fof(f72,plain,
    ! [X0,X1] :
      ( sdtlseqdt0(sdtasdt0(sdtasasdt0(X0,X1),sdtasasdt0(X0,X1)),sdtasdt0(sdtasasdt0(X0,X0),sdtasasdt0(X1,X1)))
      | ~ iLess0(aDimensionOf0(X0),aDimensionOf0(xs))
      | aDimensionOf0(X0) != aDimensionOf0(X1)
      | ~ aVector0(X1)
      | ~ aVector0(X0) ),
    inference(ennf_transformation,[],[f39]) ).

fof(f39,axiom,
    ! [X0,X1] :
      ( ( aVector0(X1)
        & aVector0(X0) )
     => ( aDimensionOf0(X0) = aDimensionOf0(X1)
       => ( iLess0(aDimensionOf0(X0),aDimensionOf0(xs))
         => sdtlseqdt0(sdtasdt0(sdtasasdt0(X0,X1),sdtasasdt0(X0,X1)),sdtasdt0(sdtasasdt0(X0,X0),sdtasasdt0(X1,X1))) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1652) ).

fof(f174,plain,
    xB = sdtlbdtrb0(xt,aDimensionOf0(xt)),
    inference(cnf_transformation,[],[f45]) ).

fof(f150,plain,
    aDimensionOf0(xt) = szszuzczcdt0(aDimensionOf0(xq)),
    inference(cnf_transformation,[],[f70]) ).

fof(f1958,plain,
    ( ~ spl5_36
    | spl5_37
    | ~ spl5_33 ),
    inference(avatar_split_clause,[],[f1816,f1661,f1955,f1951]) ).

fof(f1955,plain,
    ( spl5_37
  <=> sz0z00 = xS ),
    introduced(avatar_definition,[new_symbols(naming,[spl5_37])]) ).

fof(f1816,plain,
    ( sz0z00 = xS
    | ~ sdtlseqdt0(xS,sz0z00)
    | ~ spl5_33 ),
    inference(subsumption_resolution,[],[f1815,f177]) ).

fof(f1815,plain,
    ( sz0z00 = xS
    | ~ sdtlseqdt0(xS,sz0z00)
    | ~ aScalar0(xS)
    | ~ spl5_33 ),
    inference(subsumption_resolution,[],[f1814,f185]) ).

fof(f1814,plain,
    ( sz0z00 = xS
    | ~ sdtlseqdt0(xS,sz0z00)
    | ~ aScalar0(sz0z00)
    | ~ aScalar0(xS)
    | ~ spl5_33 ),
    inference(resolution,[],[f1662,f225]) ).

fof(f1947,plain,
    ( ~ spl5_34
    | spl5_35
    | ~ spl5_32 ),
    inference(avatar_split_clause,[],[f1813,f1657,f1944,f1940]) ).

fof(f1944,plain,
    ( spl5_35
  <=> sz0z00 = xR ),
    introduced(avatar_definition,[new_symbols(naming,[spl5_35])]) ).

fof(f1657,plain,
    ( spl5_32
  <=> sdtlseqdt0(sz0z00,xR) ),
    introduced(avatar_definition,[new_symbols(naming,[spl5_32])]) ).

fof(f1813,plain,
    ( sz0z00 = xR
    | ~ sdtlseqdt0(xR,sz0z00)
    | ~ spl5_32 ),
    inference(subsumption_resolution,[],[f1812,f179]) ).

fof(f1812,plain,
    ( sz0z00 = xR
    | ~ sdtlseqdt0(xR,sz0z00)
    | ~ aScalar0(xR)
    | ~ spl5_32 ),
    inference(subsumption_resolution,[],[f1811,f185]) ).

fof(f1811,plain,
    ( sz0z00 = xR
    | ~ sdtlseqdt0(xR,sz0z00)
    | ~ aScalar0(sz0z00)
    | ~ aScalar0(xR)
    | ~ spl5_32 ),
    inference(resolution,[],[f1658,f225]) ).

fof(f1658,plain,
    ( sdtlseqdt0(sz0z00,xR)
    | ~ spl5_32 ),
    inference(avatar_component_clause,[],[f1657]) ).

fof(f1864,plain,
    ( ~ spl5_7
    | spl5_8
    | ~ spl5_13
    | ~ spl5_14 ),
    inference(avatar_contradiction_clause,[],[f1863]) ).

fof(f1863,plain,
    ( $false
    | ~ spl5_7
    | spl5_8
    | ~ spl5_13
    | ~ spl5_14 ),
    inference(subsumption_resolution,[],[f1839,f317]) ).

fof(f1839,plain,
    ( sdtlseqdt0(sz0z00,sdtpldt0(xP,xP))
    | ~ spl5_7
    | ~ spl5_13
    | ~ spl5_14 ),
    inference(superposition,[],[f145,f1820]) ).

fof(f1820,plain,
    ( sz0z00 = sdtpldt0(xR,xS)
    | ~ spl5_7
    | ~ spl5_13
    | ~ spl5_14 ),
    inference(subsumption_resolution,[],[f1819,f676]) ).

fof(f1819,plain,
    ( sz0z00 = sdtpldt0(xR,xS)
    | ~ aScalar0(sdtpldt0(xR,xS))
    | ~ spl5_7
    | ~ spl5_14 ),
    inference(subsumption_resolution,[],[f1818,f185]) ).

fof(f1818,plain,
    ( sz0z00 = sdtpldt0(xR,xS)
    | ~ aScalar0(sz0z00)
    | ~ aScalar0(sdtpldt0(xR,xS))
    | ~ spl5_7
    | ~ spl5_14 ),
    inference(subsumption_resolution,[],[f1817,f681]) ).

fof(f681,plain,
    ( sdtlseqdt0(sdtpldt0(xR,xS),sz0z00)
    | ~ spl5_14 ),
    inference(avatar_component_clause,[],[f679]) ).

fof(f679,plain,
    ( spl5_14
  <=> sdtlseqdt0(sdtpldt0(xR,xS),sz0z00) ),
    introduced(avatar_definition,[new_symbols(naming,[spl5_14])]) ).

fof(f1817,plain,
    ( sz0z00 = sdtpldt0(xR,xS)
    | ~ sdtlseqdt0(sdtpldt0(xR,xS),sz0z00)
    | ~ aScalar0(sz0z00)
    | ~ aScalar0(sdtpldt0(xR,xS))
    | ~ spl5_7 ),
    inference(resolution,[],[f312,f225]) ).

fof(f1862,plain,
    ( ~ spl5_7
    | ~ spl5_13
    | ~ spl5_14
    | ~ spl5_16 ),
    inference(avatar_contradiction_clause,[],[f1861]) ).

fof(f1861,plain,
    ( $false
    | ~ spl5_7
    | ~ spl5_13
    | ~ spl5_14
    | ~ spl5_16 ),
    inference(subsumption_resolution,[],[f1838,f707]) ).

fof(f1838,plain,
    ( ~ sdtlseqdt0(sdtpldt0(xP,xP),sz0z00)
    | ~ spl5_7
    | ~ spl5_13
    | ~ spl5_14 ),
    inference(superposition,[],[f144,f1820]) ).

fof(f1788,plain,
    spl5_33,
    inference(avatar_contradiction_clause,[],[f1787]) ).

fof(f1787,plain,
    ( $false
    | spl5_33 ),
    inference(subsumption_resolution,[],[f1786,f159]) ).

fof(f1786,plain,
    ( ~ aScalar0(xF)
    | spl5_33 ),
    inference(subsumption_resolution,[],[f1785,f169]) ).

fof(f1785,plain,
    ( ~ aScalar0(xD)
    | ~ aScalar0(xF)
    | spl5_33 ),
    inference(subsumption_resolution,[],[f1784,f289]) ).

fof(f1784,plain,
    ( ~ sdtlseqdt0(sz0z00,xF)
    | ~ aScalar0(xD)
    | ~ aScalar0(xF)
    | spl5_33 ),
    inference(subsumption_resolution,[],[f1783,f286]) ).

fof(f1783,plain,
    ( ~ sdtlseqdt0(sz0z00,xD)
    | ~ sdtlseqdt0(sz0z00,xF)
    | ~ aScalar0(xD)
    | ~ aScalar0(xF)
    | spl5_33 ),
    inference(subsumption_resolution,[],[f1759,f1663]) ).

fof(f1663,plain,
    ( ~ sdtlseqdt0(sz0z00,xS)
    | spl5_33 ),
    inference(avatar_component_clause,[],[f1661]) ).

fof(f1759,plain,
    ( sdtlseqdt0(sz0z00,xS)
    | ~ sdtlseqdt0(sz0z00,xD)
    | ~ sdtlseqdt0(sz0z00,xF)
    | ~ aScalar0(xD)
    | ~ aScalar0(xF) ),
    inference(superposition,[],[f228,f178]) ).

fof(f1780,plain,
    spl5_32,
    inference(avatar_contradiction_clause,[],[f1779]) ).

fof(f1779,plain,
    ( $false
    | spl5_32 ),
    inference(subsumption_resolution,[],[f1778,f167]) ).

fof(f1778,plain,
    ( ~ aScalar0(xC)
    | spl5_32 ),
    inference(subsumption_resolution,[],[f1777,f163]) ).

fof(f1777,plain,
    ( ~ aScalar0(xG)
    | ~ aScalar0(xC)
    | spl5_32 ),
    inference(subsumption_resolution,[],[f1776,f285]) ).

fof(f1776,plain,
    ( ~ sdtlseqdt0(sz0z00,xC)
    | ~ aScalar0(xG)
    | ~ aScalar0(xC)
    | spl5_32 ),
    inference(subsumption_resolution,[],[f1775,f290]) ).

fof(f1775,plain,
    ( ~ sdtlseqdt0(sz0z00,xG)
    | ~ sdtlseqdt0(sz0z00,xC)
    | ~ aScalar0(xG)
    | ~ aScalar0(xC)
    | spl5_32 ),
    inference(subsumption_resolution,[],[f1754,f1659]) ).

fof(f1659,plain,
    ( ~ sdtlseqdt0(sz0z00,xR)
    | spl5_32 ),
    inference(avatar_component_clause,[],[f1657]) ).

fof(f1664,plain,
    ( ~ spl5_32
    | ~ spl5_33
    | spl5_7 ),
    inference(avatar_split_clause,[],[f1617,f311,f1661,f1657]) ).

fof(f1617,plain,
    ( ~ sdtlseqdt0(sz0z00,xS)
    | ~ sdtlseqdt0(sz0z00,xR)
    | spl5_7 ),
    inference(subsumption_resolution,[],[f1616,f179]) ).

fof(f1616,plain,
    ( ~ sdtlseqdt0(sz0z00,xS)
    | ~ sdtlseqdt0(sz0z00,xR)
    | ~ aScalar0(xR)
    | spl5_7 ),
    inference(subsumption_resolution,[],[f1480,f177]) ).

fof(f1480,plain,
    ( ~ sdtlseqdt0(sz0z00,xS)
    | ~ sdtlseqdt0(sz0z00,xR)
    | ~ aScalar0(xS)
    | ~ aScalar0(xR)
    | spl5_7 ),
    inference(resolution,[],[f227,f313]) ).

fof(f313,plain,
    ( ~ sdtlseqdt0(sz0z00,sdtpldt0(xR,xS))
    | spl5_7 ),
    inference(avatar_component_clause,[],[f311]) ).

fof(f1260,plain,
    ( spl5_29
    | spl5_31 ),
    inference(avatar_split_clause,[],[f232,f1258,f1132]) ).

fof(f1132,plain,
    ( spl5_29
  <=> ! [X2] : ~ aScalar0(X2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl5_29])]) ).

fof(f1258,plain,
    ( spl5_31
  <=> ! [X0,X1] :
        ( sdtasdt0(X0,X1) = sdtasdt0(X1,X0)
        | ~ aScalar0(X0)
        | ~ aScalar0(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl5_31])]) ).

fof(f1184,plain,
    ~ spl5_29,
    inference(avatar_contradiction_clause,[],[f1138]) ).

fof(f1138,plain,
    ( $false
    | ~ spl5_29 ),
    inference(resolution,[],[f1133,f185]) ).

fof(f1133,plain,
    ( ! [X2] : ~ aScalar0(X2)
    | ~ spl5_29 ),
    inference(avatar_component_clause,[],[f1132]) ).

fof(f1183,plain,
    ( ~ spl5_13
    | ~ spl5_29 ),
    inference(avatar_contradiction_clause,[],[f1140]) ).

fof(f1140,plain,
    ( $false
    | ~ spl5_13
    | ~ spl5_29 ),
    inference(resolution,[],[f1133,f676]) ).

fof(f1182,plain,
    ( ~ spl5_15
    | ~ spl5_29 ),
    inference(avatar_contradiction_clause,[],[f1141]) ).

fof(f1141,plain,
    ( $false
    | ~ spl5_15
    | ~ spl5_29 ),
    inference(resolution,[],[f1133,f702]) ).

fof(f1181,plain,
    ~ spl5_29,
    inference(avatar_contradiction_clause,[],[f1145]) ).

fof(f1145,plain,
    ( $false
    | ~ spl5_29 ),
    inference(resolution,[],[f1133,f506]) ).

fof(f1180,plain,
    ( ~ spl5_9
    | ~ spl5_29 ),
    inference(avatar_contradiction_clause,[],[f1146]) ).

fof(f1146,plain,
    ( $false
    | ~ spl5_9
    | ~ spl5_29 ),
    inference(resolution,[],[f1133,f896]) ).

fof(f896,plain,
    ( aScalar0(sdtlbdtrb0(xt,aDimensionOf0(xp)))
    | ~ spl5_9 ),
    inference(subsumption_resolution,[],[f895,f149]) ).

fof(f895,plain,
    ( aScalar0(sdtlbdtrb0(xt,aDimensionOf0(xp)))
    | ~ aVector0(xq)
    | ~ spl5_9 ),
    inference(subsumption_resolution,[],[f894,f486]) ).

fof(f486,plain,
    ( aNaturalNumber0(aDimensionOf0(xp))
    | ~ spl5_9 ),
    inference(avatar_component_clause,[],[f485]) ).

fof(f485,plain,
    ( spl5_9
  <=> aNaturalNumber0(aDimensionOf0(xp)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl5_9])]) ).

fof(f894,plain,
    ( aScalar0(sdtlbdtrb0(xt,aDimensionOf0(xp)))
    | ~ aNaturalNumber0(aDimensionOf0(xp))
    | ~ aVector0(xq)
    | ~ spl5_9 ),
    inference(superposition,[],[f214,f500]) ).

fof(f500,plain,
    ( sdtlbdtrb0(xq,aDimensionOf0(xp)) = sdtlbdtrb0(xt,aDimensionOf0(xp))
    | ~ spl5_9 ),
    inference(resolution,[],[f151,f486]) ).

fof(f1179,plain,
    ( ~ spl5_11
    | ~ spl5_29 ),
    inference(avatar_contradiction_clause,[],[f1147]) ).

fof(f1147,plain,
    ( $false
    | ~ spl5_11
    | ~ spl5_29 ),
    inference(resolution,[],[f1133,f911]) ).

fof(f911,plain,
    ( aScalar0(sdtlbdtrb0(xt,aDimensionOf0(xq)))
    | ~ spl5_11 ),
    inference(subsumption_resolution,[],[f910,f149]) ).

fof(f910,plain,
    ( aScalar0(sdtlbdtrb0(xt,aDimensionOf0(xq)))
    | ~ aVector0(xq)
    | ~ spl5_11 ),
    inference(subsumption_resolution,[],[f909,f516]) ).

fof(f516,plain,
    ( aNaturalNumber0(aDimensionOf0(xq))
    | ~ spl5_11 ),
    inference(avatar_component_clause,[],[f515]) ).

fof(f515,plain,
    ( spl5_11
  <=> aNaturalNumber0(aDimensionOf0(xq)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl5_11])]) ).

fof(f909,plain,
    ( aScalar0(sdtlbdtrb0(xt,aDimensionOf0(xq)))
    | ~ aNaturalNumber0(aDimensionOf0(xq))
    | ~ aVector0(xq)
    | ~ spl5_11 ),
    inference(superposition,[],[f214,f526]) ).

fof(f526,plain,
    ( sdtlbdtrb0(xq,aDimensionOf0(xq)) = sdtlbdtrb0(xt,aDimensionOf0(xq))
    | ~ spl5_11 ),
    inference(resolution,[],[f516,f151]) ).

fof(f1178,plain,
    ~ spl5_29,
    inference(avatar_contradiction_clause,[],[f1148]) ).

fof(f1148,plain,
    ( $false
    | ~ spl5_29 ),
    inference(resolution,[],[f1133,f573]) ).

fof(f1177,plain,
    ( ~ spl5_9
    | ~ spl5_29 ),
    inference(avatar_contradiction_clause,[],[f1149]) ).

fof(f1149,plain,
    ( $false
    | ~ spl5_9
    | ~ spl5_29 ),
    inference(resolution,[],[f1133,f951]) ).

fof(f951,plain,
    ( aScalar0(sdtlbdtrb0(xs,aDimensionOf0(xp)))
    | ~ spl5_9 ),
    inference(subsumption_resolution,[],[f950,f153]) ).

fof(f950,plain,
    ( aScalar0(sdtlbdtrb0(xs,aDimensionOf0(xp)))
    | ~ aVector0(xp)
    | ~ spl5_9 ),
    inference(subsumption_resolution,[],[f949,f486]) ).

fof(f949,plain,
    ( aScalar0(sdtlbdtrb0(xs,aDimensionOf0(xp)))
    | ~ aNaturalNumber0(aDimensionOf0(xp))
    | ~ aVector0(xp)
    | ~ spl5_9 ),
    inference(superposition,[],[f214,f550]) ).

fof(f550,plain,
    ( sdtlbdtrb0(xp,aDimensionOf0(xp)) = sdtlbdtrb0(xs,aDimensionOf0(xp))
    | ~ spl5_9 ),
    inference(resolution,[],[f155,f486]) ).

fof(f1176,plain,
    ( ~ spl5_11
    | ~ spl5_29 ),
    inference(avatar_contradiction_clause,[],[f1150]) ).

fof(f1150,plain,
    ( $false
    | ~ spl5_11
    | ~ spl5_29 ),
    inference(resolution,[],[f1133,f967]) ).

fof(f967,plain,
    ( aScalar0(sdtlbdtrb0(xs,aDimensionOf0(xq)))
    | ~ spl5_11 ),
    inference(subsumption_resolution,[],[f966,f153]) ).

fof(f966,plain,
    ( aScalar0(sdtlbdtrb0(xs,aDimensionOf0(xq)))
    | ~ aVector0(xp)
    | ~ spl5_11 ),
    inference(subsumption_resolution,[],[f965,f516]) ).

fof(f965,plain,
    ( aScalar0(sdtlbdtrb0(xs,aDimensionOf0(xq)))
    | ~ aNaturalNumber0(aDimensionOf0(xq))
    | ~ aVector0(xp)
    | ~ spl5_11 ),
    inference(superposition,[],[f214,f551]) ).

fof(f551,plain,
    ( sdtlbdtrb0(xp,aDimensionOf0(xq)) = sdtlbdtrb0(xs,aDimensionOf0(xq))
    | ~ spl5_11 ),
    inference(resolution,[],[f155,f516]) ).

fof(f1175,plain,
    ~ spl5_29,
    inference(avatar_contradiction_clause,[],[f1152]) ).

fof(f1152,plain,
    ( $false
    | ~ spl5_29 ),
    inference(resolution,[],[f1133,f175]) ).

fof(f1174,plain,
    ~ spl5_29,
    inference(avatar_contradiction_clause,[],[f1153]) ).

fof(f1153,plain,
    ( $false
    | ~ spl5_29 ),
    inference(resolution,[],[f1133,f173]) ).

fof(f1173,plain,
    ~ spl5_29,
    inference(avatar_contradiction_clause,[],[f1154]) ).

fof(f1154,plain,
    ( $false
    | ~ spl5_29 ),
    inference(resolution,[],[f1133,f167]) ).

fof(f1172,plain,
    ~ spl5_29,
    inference(avatar_contradiction_clause,[],[f1155]) ).

fof(f1155,plain,
    ( $false
    | ~ spl5_29 ),
    inference(resolution,[],[f1133,f169]) ).

fof(f1171,plain,
    ~ spl5_29,
    inference(avatar_contradiction_clause,[],[f1156]) ).

fof(f1156,plain,
    ( $false
    | ~ spl5_29 ),
    inference(resolution,[],[f1133,f171]) ).

fof(f1170,plain,
    ~ spl5_29,
    inference(avatar_contradiction_clause,[],[f1157]) ).

fof(f1157,plain,
    ( $false
    | ~ spl5_29 ),
    inference(resolution,[],[f1133,f159]) ).

fof(f1169,plain,
    ~ spl5_29,
    inference(avatar_contradiction_clause,[],[f1158]) ).

fof(f1158,plain,
    ( $false
    | ~ spl5_29 ),
    inference(resolution,[],[f1133,f163]) ).

fof(f1168,plain,
    ~ spl5_29,
    inference(avatar_contradiction_clause,[],[f1159]) ).

fof(f1159,plain,
    ( $false
    | ~ spl5_29 ),
    inference(resolution,[],[f1133,f161]) ).

fof(f1167,plain,
    ~ spl5_29,
    inference(avatar_contradiction_clause,[],[f1160]) ).

fof(f1160,plain,
    ( $false
    | ~ spl5_29 ),
    inference(resolution,[],[f1133,f179]) ).

fof(f1166,plain,
    ~ spl5_29,
    inference(avatar_contradiction_clause,[],[f1161]) ).

fof(f1161,plain,
    ( $false
    | ~ spl5_29 ),
    inference(resolution,[],[f1133,f181]) ).

fof(f1165,plain,
    ~ spl5_29,
    inference(avatar_contradiction_clause,[],[f1162]) ).

fof(f1162,plain,
    ( $false
    | ~ spl5_29 ),
    inference(resolution,[],[f1133,f177]) ).

fof(f1164,plain,
    ~ spl5_29,
    inference(avatar_contradiction_clause,[],[f1163]) ).

fof(f1163,plain,
    ( $false
    | ~ spl5_29 ),
    inference(resolution,[],[f1133,f165]) ).

fof(f1137,plain,
    ( spl5_29
    | spl5_30 ),
    inference(avatar_split_clause,[],[f230,f1135,f1132]) ).

fof(f1135,plain,
    ( spl5_30
  <=> ! [X0,X1] :
        ( sdtpldt0(X0,X1) = sdtpldt0(X1,X0)
        | ~ aScalar0(X0)
        | ~ aScalar0(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl5_30])]) ).

fof(f1128,plain,
    ( ~ spl5_27
    | spl5_28 ),
    inference(avatar_split_clause,[],[f1085,f1125,f1121]) ).

fof(f1125,plain,
    ( spl5_28
  <=> sz0z00 = xG ),
    introduced(avatar_definition,[new_symbols(naming,[spl5_28])]) ).

fof(f1117,plain,
    ( ~ spl5_25
    | spl5_26 ),
    inference(avatar_split_clause,[],[f1083,f1114,f1110]) ).

fof(f1114,plain,
    ( spl5_26
  <=> sz0z00 = xF ),
    introduced(avatar_definition,[new_symbols(naming,[spl5_26])]) ).

fof(f1106,plain,
    ( ~ spl5_23
    | spl5_24 ),
    inference(avatar_split_clause,[],[f1081,f1103,f1099]) ).

fof(f1103,plain,
    ( spl5_24
  <=> sz0z00 = xD ),
    introduced(avatar_definition,[new_symbols(naming,[spl5_24])]) ).

fof(f1095,plain,
    ( ~ spl5_21
    | spl5_22 ),
    inference(avatar_split_clause,[],[f1079,f1092,f1088]) ).

fof(f1092,plain,
    ( spl5_22
  <=> sz0z00 = xC ),
    introduced(avatar_definition,[new_symbols(naming,[spl5_22])]) ).

fof(f1021,plain,
    ( ~ spl5_19
    | ~ spl5_20 ),
    inference(avatar_split_clause,[],[f986,f1018,f1014]) ).

fof(f1014,plain,
    ( spl5_19
  <=> aNaturalNumber0(sK4(sz00)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl5_19])]) ).

fof(f1018,plain,
    ( spl5_20
  <=> sz00 = szszuzczcdt0(aDimensionOf0(xs)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl5_20])]) ).

fof(f886,plain,
    ( spl5_17
    | ~ spl5_18 ),
    inference(avatar_contradiction_clause,[],[f885]) ).

fof(f885,plain,
    ( $false
    | spl5_17
    | ~ spl5_18 ),
    inference(subsumption_resolution,[],[f884,f184]) ).

fof(f884,plain,
    ( ~ aNaturalNumber0(sz00)
    | spl5_17
    | ~ spl5_18 ),
    inference(trivial_inequality_removal,[],[f881]) ).

fof(f881,plain,
    ( sz00 != sz00
    | ~ aNaturalNumber0(sz00)
    | spl5_17
    | ~ spl5_18 ),
    inference(superposition,[],[f188,f875]) ).

fof(f875,plain,
    ( sz00 = szszuzczcdt0(sz00)
    | spl5_17
    | ~ spl5_18 ),
    inference(subsumption_resolution,[],[f874,f842]) ).

fof(f842,plain,
    ( aNaturalNumber0(szszuzczcdt0(sz00))
    | ~ spl5_18 ),
    inference(avatar_component_clause,[],[f840]) ).

fof(f840,plain,
    ( spl5_18
  <=> aNaturalNumber0(szszuzczcdt0(sz00)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl5_18])]) ).

fof(f874,plain,
    ( sz00 = szszuzczcdt0(sz00)
    | ~ aNaturalNumber0(szszuzczcdt0(sz00))
    | spl5_17 ),
    inference(resolution,[],[f838,f211]) ).

fof(f838,plain,
    ( ~ aNaturalNumber0(sK4(szszuzczcdt0(sz00)))
    | spl5_17 ),
    inference(avatar_component_clause,[],[f836]) ).

fof(f836,plain,
    ( spl5_17
  <=> aNaturalNumber0(sK4(szszuzczcdt0(sz00))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl5_17])]) ).

fof(f846,plain,
    spl5_18,
    inference(avatar_contradiction_clause,[],[f845]) ).

fof(f845,plain,
    ( $false
    | spl5_18 ),
    inference(subsumption_resolution,[],[f844,f184]) ).

fof(f844,plain,
    ( ~ aNaturalNumber0(sz00)
    | spl5_18 ),
    inference(resolution,[],[f841,f187]) ).

fof(f841,plain,
    ( ~ aNaturalNumber0(szszuzczcdt0(sz00))
    | spl5_18 ),
    inference(avatar_component_clause,[],[f840]) ).

fof(f843,plain,
    ( ~ spl5_17
    | spl5_18 ),
    inference(avatar_split_clause,[],[f833,f840,f836]) ).

fof(f712,plain,
    spl5_15,
    inference(avatar_contradiction_clause,[],[f711]) ).

fof(f711,plain,
    ( $false
    | spl5_15 ),
    inference(subsumption_resolution,[],[f710,f181]) ).

fof(f710,plain,
    ( ~ aScalar0(xP)
    | spl5_15 ),
    inference(duplicate_literal_removal,[],[f709]) ).

fof(f709,plain,
    ( ~ aScalar0(xP)
    | ~ aScalar0(xP)
    | spl5_15 ),
    inference(resolution,[],[f703,f219]) ).

fof(f703,plain,
    ( ~ aScalar0(sdtpldt0(xP,xP))
    | spl5_15 ),
    inference(avatar_component_clause,[],[f701]) ).

fof(f708,plain,
    ( ~ spl5_15
    | spl5_16
    | spl5_8 ),
    inference(avatar_split_clause,[],[f671,f315,f705,f701]) ).

fof(f671,plain,
    ( sdtlseqdt0(sdtpldt0(xP,xP),sz0z00)
    | ~ aScalar0(sdtpldt0(xP,xP))
    | spl5_8 ),
    inference(subsumption_resolution,[],[f664,f185]) ).

fof(f664,plain,
    ( sdtlseqdt0(sdtpldt0(xP,xP),sz0z00)
    | ~ aScalar0(sz0z00)
    | ~ aScalar0(sdtpldt0(xP,xP))
    | spl5_8 ),
    inference(resolution,[],[f224,f317]) ).

fof(f686,plain,
    spl5_13,
    inference(avatar_contradiction_clause,[],[f685]) ).

fof(f685,plain,
    ( $false
    | spl5_13 ),
    inference(subsumption_resolution,[],[f684,f179]) ).

fof(f684,plain,
    ( ~ aScalar0(xR)
    | spl5_13 ),
    inference(subsumption_resolution,[],[f683,f177]) ).

fof(f683,plain,
    ( ~ aScalar0(xS)
    | ~ aScalar0(xR)
    | spl5_13 ),
    inference(resolution,[],[f677,f219]) ).

fof(f677,plain,
    ( ~ aScalar0(sdtpldt0(xR,xS))
    | spl5_13 ),
    inference(avatar_component_clause,[],[f675]) ).

fof(f682,plain,
    ( ~ spl5_13
    | spl5_14
    | spl5_7 ),
    inference(avatar_split_clause,[],[f670,f311,f679,f675]) ).

fof(f670,plain,
    ( sdtlseqdt0(sdtpldt0(xR,xS),sz0z00)
    | ~ aScalar0(sdtpldt0(xR,xS))
    | spl5_7 ),
    inference(subsumption_resolution,[],[f663,f185]) ).

fof(f663,plain,
    ( sdtlseqdt0(sdtpldt0(xR,xS),sz0z00)
    | ~ aScalar0(sz0z00)
    | ~ aScalar0(sdtpldt0(xR,xS))
    | spl5_7 ),
    inference(resolution,[],[f224,f313]) ).

fof(f525,plain,
    spl5_11,
    inference(avatar_contradiction_clause,[],[f524]) ).

fof(f524,plain,
    ( $false
    | spl5_11 ),
    inference(subsumption_resolution,[],[f523,f149]) ).

fof(f523,plain,
    ( ~ aVector0(xq)
    | spl5_11 ),
    inference(resolution,[],[f517,f189]) ).

fof(f517,plain,
    ( ~ aNaturalNumber0(aDimensionOf0(xq))
    | spl5_11 ),
    inference(avatar_component_clause,[],[f515]) ).

fof(f522,plain,
    ( ~ spl5_11
    | spl5_12 ),
    inference(avatar_split_clause,[],[f248,f519,f515]) ).

fof(f519,plain,
    ( spl5_12
  <=> iLess0(aDimensionOf0(xq),aDimensionOf0(xs)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl5_12])]) ).

fof(f495,plain,
    spl5_9,
    inference(avatar_contradiction_clause,[],[f494]) ).

fof(f494,plain,
    ( $false
    | spl5_9 ),
    inference(subsumption_resolution,[],[f493,f153]) ).

fof(f493,plain,
    ( ~ aVector0(xp)
    | spl5_9 ),
    inference(resolution,[],[f487,f189]) ).

fof(f487,plain,
    ( ~ aNaturalNumber0(aDimensionOf0(xp))
    | spl5_9 ),
    inference(avatar_component_clause,[],[f485]) ).

fof(f492,plain,
    ( ~ spl5_9
    | spl5_10 ),
    inference(avatar_split_clause,[],[f247,f489,f485]) ).

fof(f489,plain,
    ( spl5_10
  <=> iLess0(aDimensionOf0(xp),aDimensionOf0(xs)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl5_10])]) ).

fof(f332,plain,
    spl5_3,
    inference(avatar_contradiction_clause,[],[f331]) ).

fof(f331,plain,
    ( $false
    | spl5_3 ),
    inference(subsumption_resolution,[],[f327,f141]) ).

fof(f327,plain,
    ( sz00 = aDimensionOf0(xs)
    | spl5_3 ),
    inference(superposition,[],[f142,f321]) ).

fof(f321,plain,
    ( sz00 = aDimensionOf0(xt)
    | spl5_3 ),
    inference(subsumption_resolution,[],[f319,f158]) ).

fof(f319,plain,
    ( sz00 = aDimensionOf0(xt)
    | ~ aVector0(xt)
    | spl5_3 ),
    inference(resolution,[],[f198,f266]) ).

fof(f266,plain,
    ( ~ sP1(xt)
    | spl5_3 ),
    inference(avatar_component_clause,[],[f264]) ).

fof(f264,plain,
    ( spl5_3
  <=> sP1(xt) ),
    introduced(avatar_definition,[new_symbols(naming,[spl5_3])]) ).

fof(f330,plain,
    spl5_3,
    inference(avatar_contradiction_clause,[],[f329]) ).

fof(f329,plain,
    ( $false
    | spl5_3 ),
    inference(subsumption_resolution,[],[f326,f141]) ).

fof(f326,plain,
    ( sz00 = aDimensionOf0(xs)
    | spl5_3 ),
    inference(superposition,[],[f321,f142]) ).

fof(f324,plain,
    spl5_5,
    inference(avatar_contradiction_clause,[],[f323]) ).

fof(f323,plain,
    ( $false
    | spl5_5 ),
    inference(subsumption_resolution,[],[f322,f157]) ).

fof(f322,plain,
    ( ~ aVector0(xs)
    | spl5_5 ),
    inference(subsumption_resolution,[],[f320,f141]) ).

fof(f320,plain,
    ( sz00 = aDimensionOf0(xs)
    | ~ aVector0(xs)
    | spl5_5 ),
    inference(resolution,[],[f198,f275]) ).

fof(f275,plain,
    ( ~ sP1(xs)
    | spl5_5 ),
    inference(avatar_component_clause,[],[f273]) ).

fof(f273,plain,
    ( spl5_5
  <=> sP1(xs) ),
    introduced(avatar_definition,[new_symbols(naming,[spl5_5])]) ).

fof(f318,plain,
    ( ~ spl5_7
    | ~ spl5_8 ),
    inference(avatar_split_clause,[],[f140,f315,f311]) ).

fof(f280,plain,
    ( ~ spl5_5
    | spl5_6 ),
    inference(avatar_split_clause,[],[f262,f277,f273]) ).

fof(f277,plain,
    ( spl5_6
  <=> sP0(xs,xp) ),
    introduced(avatar_definition,[new_symbols(naming,[spl5_6])]) ).

fof(f271,plain,
    ( ~ spl5_3
    | spl5_4 ),
    inference(avatar_split_clause,[],[f261,f268,f264]) ).

fof(f268,plain,
    ( spl5_4
  <=> sP0(xt,xq) ),
    introduced(avatar_definition,[new_symbols(naming,[spl5_4])]) ).

fof(f258,plain,
    ( spl5_1
    | spl5_2 ),
    inference(avatar_split_clause,[],[f209,f255,f252]) ).

fof(f252,plain,
    ( spl5_1
  <=> ! [X0] : ~ sP2(X0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl5_1])]) ).

fof(f255,plain,
    ( spl5_2
  <=> sz0z00 = smndt0(sz0z00) ),
    introduced(avatar_definition,[new_symbols(naming,[spl5_2])]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.14  % Problem    : RNG071+2 : TPTP v8.2.0. Released v4.0.0.
% 0.15/0.15  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.16/0.37  % Computer : n003.cluster.edu
% 0.16/0.37  % Model    : x86_64 x86_64
% 0.16/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.37  % Memory   : 8042.1875MB
% 0.16/0.37  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.16/0.37  % CPULimit   : 300
% 0.16/0.37  % WCLimit    : 300
% 0.16/0.37  % DateTime   : Sat May 18 12:09:23 EDT 2024
% 0.16/0.37  % CPUTime    : 
% 0.16/0.38  % (23875)Running in auto input_syntax mode. Trying TPTP
% 0.16/0.39  % (23878)WARNING: value z3 for option sas not known
% 0.16/0.39  % (23878)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.16/0.40  % (23879)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.16/0.40  % (23877)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.16/0.40  % (23880)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.16/0.40  % (23881)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.16/0.40  % (23882)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.16/0.40  % (23876)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.16/0.40  TRYING [1]
% 0.16/0.40  TRYING [1]
% 0.16/0.40  TRYING [2]
% 0.16/0.40  TRYING [2]
% 0.16/0.41  TRYING [3]
% 0.16/0.41  TRYING [3]
% 0.23/0.47  % (23878)First to succeed.
% 0.23/0.48  TRYING [4]
% 0.23/0.48  % (23878)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-23875"
% 0.23/0.48  % (23878)Refutation found. Thanks to Tanya!
% 0.23/0.48  % SZS status Theorem for theBenchmark
% 0.23/0.48  % SZS output start Proof for theBenchmark
% See solution above
% 0.23/0.49  % (23878)------------------------------
% 0.23/0.49  % (23878)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.23/0.49  % (23878)Termination reason: Refutation
% 0.23/0.49  
% 0.23/0.49  % (23878)Memory used [KB]: 2054
% 0.23/0.49  % (23878)Time elapsed: 0.094 s
% 0.23/0.49  % (23878)Instructions burned: 179 (million)
% 0.23/0.49  % (23875)Success in time 0.105 s
%------------------------------------------------------------------------------