TSTP Solution File: RNG081+2 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : RNG081+2 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s

% Computer : n023.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Wed Aug 31 18:14:52 EDT 2022

% Result   : Theorem 1.81s 0.58s
% Output   : Refutation 1.81s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :   35
% Syntax   : Number of formulae    :  106 (  12 unt;   0 def)
%            Number of atoms       : 1054 ( 412 equ)
%            Maximal formula atoms :   76 (   9 avg)
%            Number of connectives : 1103 ( 155   ~; 153   |; 748   &)
%                                         (  13 <=>;  34  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   49 (   9 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :   19 (  17 usr;  14 prp; 0-2 aty)
%            Number of functors    :   26 (  26 usr;  18 con; 0-2 aty)
%            Number of variables   :  322 (  56   !; 266   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1568,plain,
    $false,
    inference(avatar_sat_refutation,[],[f439,f445,f484,f486,f531,f534,f787,f987,f1122,f1126,f1146,f1435,f1476,f1562]) ).

fof(f1562,plain,
    ( ~ spl16_53
    | ~ spl16_54
    | spl16_136 ),
    inference(avatar_split_clause,[],[f1559,f1473,f526,f522]) ).

fof(f522,plain,
    ( spl16_53
  <=> aScalar0(sz0z00) ),
    introduced(avatar_definition,[new_symbols(naming,[spl16_53])]) ).

fof(f526,plain,
    ( spl16_54
  <=> sdtlseqdt0(sz0z00,sz0z00) ),
    introduced(avatar_definition,[new_symbols(naming,[spl16_54])]) ).

fof(f1473,plain,
    ( spl16_136
  <=> sdtlseqdt0(sdtasdt0(sz0z00,sz0z00),sz0z00) ),
    introduced(avatar_definition,[new_symbols(naming,[spl16_136])]) ).

fof(f1559,plain,
    ( ~ sdtlseqdt0(sz0z00,sz0z00)
    | ~ aScalar0(sz0z00)
    | spl16_136 ),
    inference(superposition,[],[f1475,f235]) ).

fof(f235,plain,
    ! [X0] :
      ( sz0z00 = sdtasdt0(sz0z00,X0)
      | ~ aScalar0(X0) ),
    inference(cnf_transformation,[],[f61]) ).

fof(f61,plain,
    ! [X0] :
      ( ~ aScalar0(X0)
      | ( sz0z00 = smndt0(sz0z00)
        & smndt0(smndt0(X0)) = X0
        & sdtpldt0(X0,sz0z00) = X0
        & sdtpldt0(sz0z00,X0) = X0
        & sz0z00 = sdtpldt0(X0,smndt0(X0))
        & sz0z00 = sdtasdt0(sz0z00,X0)
        & sz0z00 = sdtpldt0(smndt0(X0),X0)
        & sz0z00 = sdtasdt0(X0,sz0z00) ) ),
    inference(ennf_transformation,[],[f13]) ).

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

fof(f1475,plain,
    ( ~ sdtlseqdt0(sdtasdt0(sz0z00,sz0z00),sz0z00)
    | spl16_136 ),
    inference(avatar_component_clause,[],[f1473]) ).

fof(f1476,plain,
    ( ~ spl16_68
    | ~ spl16_136
    | spl16_40
    | ~ spl16_107
    | ~ spl16_131 ),
    inference(avatar_split_clause,[],[f1449,f1432,f1143,f436,f1473,f662]) ).

fof(f662,plain,
    ( spl16_68
  <=> aScalar0(sdtasasdt0(xs,xs)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl16_68])]) ).

fof(f436,plain,
    ( spl16_40
  <=> sdtlseqdt0(sdtasdt0(sdtasasdt0(xs,xt),sdtasasdt0(xs,xt)),sdtasdt0(sdtasasdt0(xs,xs),sdtasasdt0(xt,xt))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl16_40])]) ).

fof(f1143,plain,
    ( spl16_107
  <=> sz0z00 = sdtasasdt0(xt,xt) ),
    introduced(avatar_definition,[new_symbols(naming,[spl16_107])]) ).

fof(f1432,plain,
    ( spl16_131
  <=> sz0z00 = sdtasasdt0(xs,xt) ),
    introduced(avatar_definition,[new_symbols(naming,[spl16_131])]) ).

fof(f1449,plain,
    ( ~ sdtlseqdt0(sdtasdt0(sz0z00,sz0z00),sz0z00)
    | ~ aScalar0(sdtasasdt0(xs,xs))
    | spl16_40
    | ~ spl16_107
    | ~ spl16_131 ),
    inference(superposition,[],[f1438,f233]) ).

fof(f233,plain,
    ! [X0] :
      ( sz0z00 = sdtasdt0(X0,sz0z00)
      | ~ aScalar0(X0) ),
    inference(cnf_transformation,[],[f61]) ).

fof(f1438,plain,
    ( ~ sdtlseqdt0(sdtasdt0(sz0z00,sz0z00),sdtasdt0(sdtasasdt0(xs,xs),sz0z00))
    | spl16_40
    | ~ spl16_107
    | ~ spl16_131 ),
    inference(backward_demodulation,[],[f1156,f1434]) ).

fof(f1434,plain,
    ( sz0z00 = sdtasasdt0(xs,xt)
    | ~ spl16_131 ),
    inference(avatar_component_clause,[],[f1432]) ).

fof(f1156,plain,
    ( ~ sdtlseqdt0(sdtasdt0(sdtasasdt0(xs,xt),sdtasasdt0(xs,xt)),sdtasdt0(sdtasasdt0(xs,xs),sz0z00))
    | spl16_40
    | ~ spl16_107 ),
    inference(backward_demodulation,[],[f437,f1145]) ).

fof(f1145,plain,
    ( sz0z00 = sdtasasdt0(xt,xt)
    | ~ spl16_107 ),
    inference(avatar_component_clause,[],[f1143]) ).

fof(f437,plain,
    ( ~ sdtlseqdt0(sdtasdt0(sdtasasdt0(xs,xt),sdtasasdt0(xs,xt)),sdtasdt0(sdtasasdt0(xs,xs),sdtasasdt0(xt,xt)))
    | spl16_40 ),
    inference(avatar_component_clause,[],[f436]) ).

fof(f1435,plain,
    ( ~ spl16_44
    | spl16_131
    | ~ spl16_4
    | ~ spl16_104 ),
    inference(avatar_split_clause,[],[f1428,f1124,f260,f1432,f464]) ).

fof(f464,plain,
    ( spl16_44
  <=> aVector0(xs) ),
    introduced(avatar_definition,[new_symbols(naming,[spl16_44])]) ).

fof(f260,plain,
    ( spl16_4
  <=> sz00 = aDimensionOf0(xs) ),
    introduced(avatar_definition,[new_symbols(naming,[spl16_4])]) ).

fof(f1124,plain,
    ( spl16_104
  <=> ! [X1] :
        ( ~ aVector0(X1)
        | sz0z00 = sdtasasdt0(X1,xt)
        | sz00 != aDimensionOf0(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl16_104])]) ).

fof(f1428,plain,
    ( sz0z00 = sdtasasdt0(xs,xt)
    | ~ aVector0(xs)
    | ~ spl16_4
    | ~ spl16_104 ),
    inference(trivial_inequality_removal,[],[f1424]) ).

fof(f1424,plain,
    ( sz0z00 = sdtasasdt0(xs,xt)
    | ~ aVector0(xs)
    | sz00 != sz00
    | ~ spl16_4
    | ~ spl16_104 ),
    inference(superposition,[],[f1125,f262]) ).

fof(f262,plain,
    ( sz00 = aDimensionOf0(xs)
    | ~ spl16_4 ),
    inference(avatar_component_clause,[],[f260]) ).

fof(f1125,plain,
    ( ! [X1] :
        ( sz00 != aDimensionOf0(X1)
        | ~ aVector0(X1)
        | sz0z00 = sdtasasdt0(X1,xt) )
    | ~ spl16_104 ),
    inference(avatar_component_clause,[],[f1124]) ).

fof(f1146,plain,
    ( spl16_107
    | ~ spl16_42
    | ~ spl16_4
    | ~ spl16_103 ),
    inference(avatar_split_clause,[],[f1139,f1120,f260,f456,f1143]) ).

fof(f456,plain,
    ( spl16_42
  <=> aVector0(xt) ),
    introduced(avatar_definition,[new_symbols(naming,[spl16_42])]) ).

fof(f1120,plain,
    ( spl16_103
  <=> ! [X1] :
        ( sz00 != aDimensionOf0(X1)
        | sz0z00 = sdtasasdt0(xt,X1)
        | ~ aVector0(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl16_103])]) ).

fof(f1139,plain,
    ( ~ aVector0(xt)
    | sz0z00 = sdtasasdt0(xt,xt)
    | ~ spl16_4
    | ~ spl16_103 ),
    inference(trivial_inequality_removal,[],[f1136]) ).

fof(f1136,plain,
    ( ~ aVector0(xt)
    | sz00 != sz00
    | sz0z00 = sdtasasdt0(xt,xt)
    | ~ spl16_4
    | ~ spl16_103 ),
    inference(superposition,[],[f1121,f446]) ).

fof(f446,plain,
    ( sz00 = aDimensionOf0(xt)
    | ~ spl16_4 ),
    inference(forward_demodulation,[],[f170,f262]) ).

fof(f170,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(f1121,plain,
    ( ! [X1] :
        ( sz00 != aDimensionOf0(X1)
        | sz0z00 = sdtasasdt0(xt,X1)
        | ~ aVector0(X1) )
    | ~ spl16_103 ),
    inference(avatar_component_clause,[],[f1120]) ).

fof(f1126,plain,
    ( ~ spl16_42
    | spl16_104
    | ~ spl16_4 ),
    inference(avatar_split_clause,[],[f1117,f260,f1124,f456]) ).

fof(f1117,plain,
    ( ! [X1] :
        ( ~ aVector0(X1)
        | ~ aVector0(xt)
        | sz00 != aDimensionOf0(X1)
        | sz0z00 = sdtasasdt0(X1,xt) )
    | ~ spl16_4 ),
    inference(trivial_inequality_removal,[],[f1105]) ).

fof(f1105,plain,
    ( ! [X1] :
        ( sz00 != sz00
        | ~ aVector0(X1)
        | ~ aVector0(xt)
        | sz00 != aDimensionOf0(X1)
        | sz0z00 = sdtasasdt0(X1,xt) )
    | ~ spl16_4 ),
    inference(superposition,[],[f176,f446]) ).

fof(f176,plain,
    ! [X0,X1] :
      ( aDimensionOf0(X0) != aDimensionOf0(X1)
      | ~ aVector0(X0)
      | sz0z00 = sdtasasdt0(X1,X0)
      | ~ aVector0(X1)
      | sz00 != aDimensionOf0(X0) ),
    inference(cnf_transformation,[],[f127]) ).

fof(f127,plain,
    ! [X0,X1] :
      ( sz0z00 = sdtasasdt0(X1,X0)
      | ~ aVector0(X1)
      | sz00 != aDimensionOf0(X0)
      | aDimensionOf0(X0) != aDimensionOf0(X1)
      | ~ aVector0(X0) ),
    inference(rectify,[],[f67]) ).

fof(f67,plain,
    ! [X1,X0] :
      ( sz0z00 = sdtasasdt0(X0,X1)
      | ~ aVector0(X0)
      | sz00 != aDimensionOf0(X1)
      | aDimensionOf0(X0) != aDimensionOf0(X1)
      | ~ aVector0(X1) ),
    inference(flattening,[],[f66]) ).

fof(f66,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(f1122,plain,
    ( ~ spl16_42
    | spl16_103
    | ~ spl16_4 ),
    inference(avatar_split_clause,[],[f1118,f260,f1120,f456]) ).

fof(f1118,plain,
    ( ! [X1] :
        ( sz00 != aDimensionOf0(X1)
        | ~ aVector0(xt)
        | ~ aVector0(X1)
        | sz0z00 = sdtasasdt0(xt,X1) )
    | ~ spl16_4 ),
    inference(duplicate_literal_removal,[],[f1108]) ).

fof(f1108,plain,
    ( ! [X1] :
        ( ~ aVector0(X1)
        | sz00 != aDimensionOf0(X1)
        | sz00 != aDimensionOf0(X1)
        | sz0z00 = sdtasasdt0(xt,X1)
        | ~ aVector0(xt) )
    | ~ spl16_4 ),
    inference(superposition,[],[f176,f446]) ).

fof(f987,plain,
    ( ~ spl16_44
    | spl16_68
    | ~ spl16_4
    | ~ spl16_77 ),
    inference(avatar_split_clause,[],[f986,f785,f260,f662,f464]) ).

fof(f785,plain,
    ( spl16_77
  <=> ! [X0] :
        ( sz00 != aDimensionOf0(X0)
        | aScalar0(sdtasasdt0(xs,X0))
        | ~ aVector0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl16_77])]) ).

fof(f986,plain,
    ( aScalar0(sdtasasdt0(xs,xs))
    | ~ aVector0(xs)
    | ~ spl16_4
    | ~ spl16_77 ),
    inference(trivial_inequality_removal,[],[f980]) ).

fof(f980,plain,
    ( sz00 != sz00
    | ~ aVector0(xs)
    | aScalar0(sdtasasdt0(xs,xs))
    | ~ spl16_4
    | ~ spl16_77 ),
    inference(superposition,[],[f786,f262]) ).

fof(f786,plain,
    ( ! [X0] :
        ( sz00 != aDimensionOf0(X0)
        | aScalar0(sdtasasdt0(xs,X0))
        | ~ aVector0(X0) )
    | ~ spl16_77 ),
    inference(avatar_component_clause,[],[f785]) ).

fof(f787,plain,
    ( spl16_77
    | ~ spl16_44
    | ~ spl16_4 ),
    inference(avatar_split_clause,[],[f769,f260,f464,f785]) ).

fof(f769,plain,
    ( ! [X0] :
        ( ~ aVector0(xs)
        | sz00 != aDimensionOf0(X0)
        | ~ aVector0(X0)
        | aScalar0(sdtasasdt0(xs,X0)) )
    | ~ spl16_4 ),
    inference(superposition,[],[f171,f262]) ).

fof(f171,plain,
    ! [X0,X1] :
      ( aDimensionOf0(X0) != aDimensionOf0(X1)
      | aScalar0(sdtasasdt0(X1,X0))
      | ~ aVector0(X1)
      | ~ aVector0(X0) ),
    inference(cnf_transformation,[],[f106]) ).

fof(f106,plain,
    ! [X0,X1] :
      ( ~ aVector0(X0)
      | ~ aVector0(X1)
      | aScalar0(sdtasasdt0(X1,X0))
      | aDimensionOf0(X0) != aDimensionOf0(X1) ),
    inference(flattening,[],[f105]) ).

fof(f105,plain,
    ! [X1,X0] :
      ( aScalar0(sdtasasdt0(X1,X0))
      | aDimensionOf0(X0) != aDimensionOf0(X1)
      | ~ aVector0(X1)
      | ~ aVector0(X0) ),
    inference(ennf_transformation,[],[f53]) ).

fof(f53,plain,
    ! [X1,X0] :
      ( ( aVector0(X1)
        & aVector0(X0) )
     => ( aDimensionOf0(X0) = aDimensionOf0(X1)
       => aScalar0(sdtasasdt0(X1,X0)) ) ),
    inference(rectify,[],[f34]) ).

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

fof(f534,plain,
    ( spl16_54
    | ~ spl16_53 ),
    inference(avatar_split_clause,[],[f533,f522,f526]) ).

fof(f533,plain,
    ( ~ aScalar0(sz0z00)
    | sdtlseqdt0(sz0z00,sz0z00) ),
    inference(duplicate_literal_removal,[],[f532]) ).

fof(f532,plain,
    ( ~ aScalar0(sz0z00)
    | ~ aScalar0(sz0z00)
    | sdtlseqdt0(sz0z00,sz0z00) ),
    inference(superposition,[],[f178,f235]) ).

fof(f178,plain,
    ! [X0] :
      ( sdtlseqdt0(sz0z00,sdtasdt0(X0,X0))
      | ~ aScalar0(X0) ),
    inference(cnf_transformation,[],[f100]) ).

fof(f100,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(f531,plain,
    spl16_53,
    inference(avatar_contradiction_clause,[],[f530]) ).

fof(f530,plain,
    ( $false
    | spl16_53 ),
    inference(resolution,[],[f524,f241]) ).

fof(f241,plain,
    aScalar0(sz0z00),
    inference(cnf_transformation,[],[f9]) ).

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

fof(f524,plain,
    ( ~ aScalar0(sz0z00)
    | spl16_53 ),
    inference(avatar_component_clause,[],[f522]) ).

fof(f486,plain,
    spl16_44,
    inference(avatar_contradiction_clause,[],[f485]) ).

fof(f485,plain,
    ( $false
    | spl16_44 ),
    inference(resolution,[],[f466,f218]) ).

fof(f218,plain,
    aVector0(xs),
    inference(cnf_transformation,[],[f38]) ).

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

fof(f466,plain,
    ( ~ aVector0(xs)
    | spl16_44 ),
    inference(avatar_component_clause,[],[f464]) ).

fof(f484,plain,
    spl16_42,
    inference(avatar_contradiction_clause,[],[f483]) ).

fof(f483,plain,
    ( $false
    | spl16_42 ),
    inference(resolution,[],[f458,f217]) ).

fof(f217,plain,
    aVector0(xt),
    inference(cnf_transformation,[],[f38]) ).

fof(f458,plain,
    ( ~ aVector0(xt)
    | spl16_42 ),
    inference(avatar_component_clause,[],[f456]) ).

fof(f445,plain,
    ~ spl16_40,
    inference(avatar_split_clause,[],[f216,f436]) ).

fof(f216,plain,
    ~ sdtlseqdt0(sdtasdt0(sdtasasdt0(xs,xt),sdtasasdt0(xs,xt)),sdtasdt0(sdtasasdt0(xs,xs),sdtasasdt0(xt,xt))),
    inference(cnf_transformation,[],[f144]) ).

fof(f144,plain,
    ( ~ sdtlseqdt0(sdtasdt0(sdtasasdt0(xs,xt),sdtasasdt0(xs,xt)),sdtasdt0(sdtasasdt0(xs,xs),sdtasasdt0(xt,xt)))
    & ( ( aDimensionOf0(xs) = szszuzczcdt0(aDimensionOf0(sK1))
        & ! [X1] :
            ( ~ aNaturalNumber0(X1)
            | sdtlbdtrb0(xs,X1) = sdtlbdtrb0(sK1,X1) )
        & aScalar0(sK3)
        & aScalar0(sK6)
        & sdtasasdt0(sK2,sK2) = sK6
        & aScalar0(sK9)
        & sdtasdt0(sK5,sK9) = sK11
        & aScalar0(sK12)
        & aScalar0(sK13)
        & sK13 = sdtasdt0(sK8,sK6)
        & sK14 = sdtasdt0(sK11,sK13)
        & sdtlseqdt0(sdtasdt0(sK7,sK7),sdtasdt0(sK5,sK6))
        & sdtlseqdt0(sdtasdt0(sdtpldt0(sK7,sK10),sdtpldt0(sK7,sK10)),sdtasdt0(sdtpldt0(sK5,sK8),sdtpldt0(sK6,sK9)))
        & aScalar0(sK14)
        & sdtlseqdt0(sdtasdt0(sdtasasdt0(xs,xt),sdtasasdt0(xs,xt)),sdtasdt0(sdtasasdt0(xs,xs),sdtasasdt0(xt,xt)))
        & sdtlseqdt0(sdtpldt0(sK12,sK12),sdtpldt0(sK11,sK13))
        & sK12 = sdtasdt0(sK7,sK10)
        & aScalar0(sK11)
        & aScalar0(sK10)
        & sdtasdt0(sK3,sK4) = sK10
        & sK9 = sdtasdt0(sK4,sK4)
        & sK8 = sdtasdt0(sK3,sK3)
        & aScalar0(sK8)
        & sdtasasdt0(sK1,sK2) = sK7
        & aScalar0(sK7)
        & aScalar0(sK5)
        & sK5 = sdtasasdt0(sK1,sK1)
        & aScalar0(sK4)
        & sdtlbdtrb0(xt,aDimensionOf0(xt)) = sK4
        & sdtlbdtrb0(xs,aDimensionOf0(xs)) = sK3
        & aDimensionOf0(xt) = szszuzczcdt0(aDimensionOf0(sK2))
        & ! [X15] :
            ( sdtlbdtrb0(sK2,X15) = sdtlbdtrb0(xt,X15)
            | ~ aNaturalNumber0(X15) )
        & aVector0(sK2)
        & sziznziztdt0(xt) = sK2
        & sziznziztdt0(xs) = sK1
        & aVector0(sK1) )
      | sz00 = aDimensionOf0(xs) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK1,sK2,sK3,sK4,sK5,sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13,sK14])],[f129,f143,f142,f141,f140,f139,f138,f137,f136,f135,f134,f133,f132,f131,f130]) ).

fof(f130,plain,
    ( ? [X0] :
        ( aDimensionOf0(xs) = szszuzczcdt0(aDimensionOf0(X0))
        & ! [X1] :
            ( ~ aNaturalNumber0(X1)
            | sdtlbdtrb0(X0,X1) = sdtlbdtrb0(xs,X1) )
        & ? [X2] :
            ( ? [X3] :
                ( aScalar0(X3)
                & ? [X4] :
                    ( ? [X5] :
                        ( ? [X6] :
                            ( aScalar0(X6)
                            & sdtasasdt0(X2,X2) = X6
                            & ? [X7] :
                                ( ? [X8] :
                                    ( ? [X9] :
                                        ( aScalar0(X9)
                                        & ? [X10] :
                                            ( ? [X11] :
                                                ( sdtasdt0(X5,X9) = X11
                                                & ? [X12] :
                                                    ( aScalar0(X12)
                                                    & ? [X13] :
                                                        ( aScalar0(X13)
                                                        & sdtasdt0(X8,X6) = X13
                                                        & ? [X14] :
                                                            ( sdtasdt0(X11,X13) = X14
                                                            & sdtlseqdt0(sdtasdt0(X7,X7),sdtasdt0(X5,X6))
                                                            & sdtlseqdt0(sdtasdt0(sdtpldt0(X7,X10),sdtpldt0(X7,X10)),sdtasdt0(sdtpldt0(X5,X8),sdtpldt0(X6,X9)))
                                                            & aScalar0(X14)
                                                            & sdtlseqdt0(sdtasdt0(sdtasasdt0(xs,xt),sdtasasdt0(xs,xt)),sdtasdt0(sdtasasdt0(xs,xs),sdtasasdt0(xt,xt)))
                                                            & sdtlseqdt0(sdtpldt0(X12,X12),sdtpldt0(X11,X13)) ) )
                                                    & sdtasdt0(X7,X10) = X12 )
                                                & aScalar0(X11) )
                                            & aScalar0(X10)
                                            & sdtasdt0(X3,X4) = X10 )
                                        & sdtasdt0(X4,X4) = X9 )
                                    & sdtasdt0(X3,X3) = X8
                                    & aScalar0(X8) )
                                & sdtasasdt0(X0,X2) = X7
                                & aScalar0(X7) ) )
                        & aScalar0(X5)
                        & sdtasasdt0(X0,X0) = X5 )
                    & aScalar0(X4)
                    & sdtlbdtrb0(xt,aDimensionOf0(xt)) = X4 )
                & sdtlbdtrb0(xs,aDimensionOf0(xs)) = X3 )
            & aDimensionOf0(xt) = szszuzczcdt0(aDimensionOf0(X2))
            & ! [X15] :
                ( sdtlbdtrb0(X2,X15) = sdtlbdtrb0(xt,X15)
                | ~ aNaturalNumber0(X15) )
            & aVector0(X2)
            & sziznziztdt0(xt) = X2 )
        & sziznziztdt0(xs) = X0
        & aVector0(X0) )
   => ( aDimensionOf0(xs) = szszuzczcdt0(aDimensionOf0(sK1))
      & ! [X1] :
          ( ~ aNaturalNumber0(X1)
          | sdtlbdtrb0(xs,X1) = sdtlbdtrb0(sK1,X1) )
      & ? [X2] :
          ( ? [X3] :
              ( aScalar0(X3)
              & ? [X4] :
                  ( ? [X5] :
                      ( ? [X6] :
                          ( aScalar0(X6)
                          & sdtasasdt0(X2,X2) = X6
                          & ? [X7] :
                              ( ? [X8] :
                                  ( ? [X9] :
                                      ( aScalar0(X9)
                                      & ? [X10] :
                                          ( ? [X11] :
                                              ( sdtasdt0(X5,X9) = X11
                                              & ? [X12] :
                                                  ( aScalar0(X12)
                                                  & ? [X13] :
                                                      ( aScalar0(X13)
                                                      & sdtasdt0(X8,X6) = X13
                                                      & ? [X14] :
                                                          ( sdtasdt0(X11,X13) = X14
                                                          & sdtlseqdt0(sdtasdt0(X7,X7),sdtasdt0(X5,X6))
                                                          & sdtlseqdt0(sdtasdt0(sdtpldt0(X7,X10),sdtpldt0(X7,X10)),sdtasdt0(sdtpldt0(X5,X8),sdtpldt0(X6,X9)))
                                                          & aScalar0(X14)
                                                          & sdtlseqdt0(sdtasdt0(sdtasasdt0(xs,xt),sdtasasdt0(xs,xt)),sdtasdt0(sdtasasdt0(xs,xs),sdtasasdt0(xt,xt)))
                                                          & sdtlseqdt0(sdtpldt0(X12,X12),sdtpldt0(X11,X13)) ) )
                                                  & sdtasdt0(X7,X10) = X12 )
                                              & aScalar0(X11) )
                                          & aScalar0(X10)
                                          & sdtasdt0(X3,X4) = X10 )
                                      & sdtasdt0(X4,X4) = X9 )
                                  & sdtasdt0(X3,X3) = X8
                                  & aScalar0(X8) )
                              & sdtasasdt0(sK1,X2) = X7
                              & aScalar0(X7) ) )
                      & aScalar0(X5)
                      & sdtasasdt0(sK1,sK1) = X5 )
                  & aScalar0(X4)
                  & sdtlbdtrb0(xt,aDimensionOf0(xt)) = X4 )
              & sdtlbdtrb0(xs,aDimensionOf0(xs)) = X3 )
          & aDimensionOf0(xt) = szszuzczcdt0(aDimensionOf0(X2))
          & ! [X15] :
              ( sdtlbdtrb0(X2,X15) = sdtlbdtrb0(xt,X15)
              | ~ aNaturalNumber0(X15) )
          & aVector0(X2)
          & sziznziztdt0(xt) = X2 )
      & sziznziztdt0(xs) = sK1
      & aVector0(sK1) ) ),
    introduced(choice_axiom,[]) ).

fof(f131,plain,
    ( ? [X2] :
        ( ? [X3] :
            ( aScalar0(X3)
            & ? [X4] :
                ( ? [X5] :
                    ( ? [X6] :
                        ( aScalar0(X6)
                        & sdtasasdt0(X2,X2) = X6
                        & ? [X7] :
                            ( ? [X8] :
                                ( ? [X9] :
                                    ( aScalar0(X9)
                                    & ? [X10] :
                                        ( ? [X11] :
                                            ( sdtasdt0(X5,X9) = X11
                                            & ? [X12] :
                                                ( aScalar0(X12)
                                                & ? [X13] :
                                                    ( aScalar0(X13)
                                                    & sdtasdt0(X8,X6) = X13
                                                    & ? [X14] :
                                                        ( sdtasdt0(X11,X13) = X14
                                                        & sdtlseqdt0(sdtasdt0(X7,X7),sdtasdt0(X5,X6))
                                                        & sdtlseqdt0(sdtasdt0(sdtpldt0(X7,X10),sdtpldt0(X7,X10)),sdtasdt0(sdtpldt0(X5,X8),sdtpldt0(X6,X9)))
                                                        & aScalar0(X14)
                                                        & sdtlseqdt0(sdtasdt0(sdtasasdt0(xs,xt),sdtasasdt0(xs,xt)),sdtasdt0(sdtasasdt0(xs,xs),sdtasasdt0(xt,xt)))
                                                        & sdtlseqdt0(sdtpldt0(X12,X12),sdtpldt0(X11,X13)) ) )
                                                & sdtasdt0(X7,X10) = X12 )
                                            & aScalar0(X11) )
                                        & aScalar0(X10)
                                        & sdtasdt0(X3,X4) = X10 )
                                    & sdtasdt0(X4,X4) = X9 )
                                & sdtasdt0(X3,X3) = X8
                                & aScalar0(X8) )
                            & sdtasasdt0(sK1,X2) = X7
                            & aScalar0(X7) ) )
                    & aScalar0(X5)
                    & sdtasasdt0(sK1,sK1) = X5 )
                & aScalar0(X4)
                & sdtlbdtrb0(xt,aDimensionOf0(xt)) = X4 )
            & sdtlbdtrb0(xs,aDimensionOf0(xs)) = X3 )
        & aDimensionOf0(xt) = szszuzczcdt0(aDimensionOf0(X2))
        & ! [X15] :
            ( sdtlbdtrb0(X2,X15) = sdtlbdtrb0(xt,X15)
            | ~ aNaturalNumber0(X15) )
        & aVector0(X2)
        & sziznziztdt0(xt) = X2 )
   => ( ? [X3] :
          ( aScalar0(X3)
          & ? [X4] :
              ( ? [X5] :
                  ( ? [X6] :
                      ( aScalar0(X6)
                      & sdtasasdt0(sK2,sK2) = X6
                      & ? [X7] :
                          ( ? [X8] :
                              ( ? [X9] :
                                  ( aScalar0(X9)
                                  & ? [X10] :
                                      ( ? [X11] :
                                          ( sdtasdt0(X5,X9) = X11
                                          & ? [X12] :
                                              ( aScalar0(X12)
                                              & ? [X13] :
                                                  ( aScalar0(X13)
                                                  & sdtasdt0(X8,X6) = X13
                                                  & ? [X14] :
                                                      ( sdtasdt0(X11,X13) = X14
                                                      & sdtlseqdt0(sdtasdt0(X7,X7),sdtasdt0(X5,X6))
                                                      & sdtlseqdt0(sdtasdt0(sdtpldt0(X7,X10),sdtpldt0(X7,X10)),sdtasdt0(sdtpldt0(X5,X8),sdtpldt0(X6,X9)))
                                                      & aScalar0(X14)
                                                      & sdtlseqdt0(sdtasdt0(sdtasasdt0(xs,xt),sdtasasdt0(xs,xt)),sdtasdt0(sdtasasdt0(xs,xs),sdtasasdt0(xt,xt)))
                                                      & sdtlseqdt0(sdtpldt0(X12,X12),sdtpldt0(X11,X13)) ) )
                                              & sdtasdt0(X7,X10) = X12 )
                                          & aScalar0(X11) )
                                      & aScalar0(X10)
                                      & sdtasdt0(X3,X4) = X10 )
                                  & sdtasdt0(X4,X4) = X9 )
                              & sdtasdt0(X3,X3) = X8
                              & aScalar0(X8) )
                          & sdtasasdt0(sK1,sK2) = X7
                          & aScalar0(X7) ) )
                  & aScalar0(X5)
                  & sdtasasdt0(sK1,sK1) = X5 )
              & aScalar0(X4)
              & sdtlbdtrb0(xt,aDimensionOf0(xt)) = X4 )
          & sdtlbdtrb0(xs,aDimensionOf0(xs)) = X3 )
      & aDimensionOf0(xt) = szszuzczcdt0(aDimensionOf0(sK2))
      & ! [X15] :
          ( sdtlbdtrb0(sK2,X15) = sdtlbdtrb0(xt,X15)
          | ~ aNaturalNumber0(X15) )
      & aVector0(sK2)
      & sziznziztdt0(xt) = sK2 ) ),
    introduced(choice_axiom,[]) ).

fof(f132,plain,
    ( ? [X3] :
        ( aScalar0(X3)
        & ? [X4] :
            ( ? [X5] :
                ( ? [X6] :
                    ( aScalar0(X6)
                    & sdtasasdt0(sK2,sK2) = X6
                    & ? [X7] :
                        ( ? [X8] :
                            ( ? [X9] :
                                ( aScalar0(X9)
                                & ? [X10] :
                                    ( ? [X11] :
                                        ( sdtasdt0(X5,X9) = X11
                                        & ? [X12] :
                                            ( aScalar0(X12)
                                            & ? [X13] :
                                                ( aScalar0(X13)
                                                & sdtasdt0(X8,X6) = X13
                                                & ? [X14] :
                                                    ( sdtasdt0(X11,X13) = X14
                                                    & sdtlseqdt0(sdtasdt0(X7,X7),sdtasdt0(X5,X6))
                                                    & sdtlseqdt0(sdtasdt0(sdtpldt0(X7,X10),sdtpldt0(X7,X10)),sdtasdt0(sdtpldt0(X5,X8),sdtpldt0(X6,X9)))
                                                    & aScalar0(X14)
                                                    & sdtlseqdt0(sdtasdt0(sdtasasdt0(xs,xt),sdtasasdt0(xs,xt)),sdtasdt0(sdtasasdt0(xs,xs),sdtasasdt0(xt,xt)))
                                                    & sdtlseqdt0(sdtpldt0(X12,X12),sdtpldt0(X11,X13)) ) )
                                            & sdtasdt0(X7,X10) = X12 )
                                        & aScalar0(X11) )
                                    & aScalar0(X10)
                                    & sdtasdt0(X3,X4) = X10 )
                                & sdtasdt0(X4,X4) = X9 )
                            & sdtasdt0(X3,X3) = X8
                            & aScalar0(X8) )
                        & sdtasasdt0(sK1,sK2) = X7
                        & aScalar0(X7) ) )
                & aScalar0(X5)
                & sdtasasdt0(sK1,sK1) = X5 )
            & aScalar0(X4)
            & sdtlbdtrb0(xt,aDimensionOf0(xt)) = X4 )
        & sdtlbdtrb0(xs,aDimensionOf0(xs)) = X3 )
   => ( aScalar0(sK3)
      & ? [X4] :
          ( ? [X5] :
              ( ? [X6] :
                  ( aScalar0(X6)
                  & sdtasasdt0(sK2,sK2) = X6
                  & ? [X7] :
                      ( ? [X8] :
                          ( ? [X9] :
                              ( aScalar0(X9)
                              & ? [X10] :
                                  ( ? [X11] :
                                      ( sdtasdt0(X5,X9) = X11
                                      & ? [X12] :
                                          ( aScalar0(X12)
                                          & ? [X13] :
                                              ( aScalar0(X13)
                                              & sdtasdt0(X8,X6) = X13
                                              & ? [X14] :
                                                  ( sdtasdt0(X11,X13) = X14
                                                  & sdtlseqdt0(sdtasdt0(X7,X7),sdtasdt0(X5,X6))
                                                  & sdtlseqdt0(sdtasdt0(sdtpldt0(X7,X10),sdtpldt0(X7,X10)),sdtasdt0(sdtpldt0(X5,X8),sdtpldt0(X6,X9)))
                                                  & aScalar0(X14)
                                                  & sdtlseqdt0(sdtasdt0(sdtasasdt0(xs,xt),sdtasasdt0(xs,xt)),sdtasdt0(sdtasasdt0(xs,xs),sdtasasdt0(xt,xt)))
                                                  & sdtlseqdt0(sdtpldt0(X12,X12),sdtpldt0(X11,X13)) ) )
                                          & sdtasdt0(X7,X10) = X12 )
                                      & aScalar0(X11) )
                                  & aScalar0(X10)
                                  & sdtasdt0(sK3,X4) = X10 )
                              & sdtasdt0(X4,X4) = X9 )
                          & sdtasdt0(sK3,sK3) = X8
                          & aScalar0(X8) )
                      & sdtasasdt0(sK1,sK2) = X7
                      & aScalar0(X7) ) )
              & aScalar0(X5)
              & sdtasasdt0(sK1,sK1) = X5 )
          & aScalar0(X4)
          & sdtlbdtrb0(xt,aDimensionOf0(xt)) = X4 )
      & sdtlbdtrb0(xs,aDimensionOf0(xs)) = sK3 ) ),
    introduced(choice_axiom,[]) ).

fof(f133,plain,
    ( ? [X4] :
        ( ? [X5] :
            ( ? [X6] :
                ( aScalar0(X6)
                & sdtasasdt0(sK2,sK2) = X6
                & ? [X7] :
                    ( ? [X8] :
                        ( ? [X9] :
                            ( aScalar0(X9)
                            & ? [X10] :
                                ( ? [X11] :
                                    ( sdtasdt0(X5,X9) = X11
                                    & ? [X12] :
                                        ( aScalar0(X12)
                                        & ? [X13] :
                                            ( aScalar0(X13)
                                            & sdtasdt0(X8,X6) = X13
                                            & ? [X14] :
                                                ( sdtasdt0(X11,X13) = X14
                                                & sdtlseqdt0(sdtasdt0(X7,X7),sdtasdt0(X5,X6))
                                                & sdtlseqdt0(sdtasdt0(sdtpldt0(X7,X10),sdtpldt0(X7,X10)),sdtasdt0(sdtpldt0(X5,X8),sdtpldt0(X6,X9)))
                                                & aScalar0(X14)
                                                & sdtlseqdt0(sdtasdt0(sdtasasdt0(xs,xt),sdtasasdt0(xs,xt)),sdtasdt0(sdtasasdt0(xs,xs),sdtasasdt0(xt,xt)))
                                                & sdtlseqdt0(sdtpldt0(X12,X12),sdtpldt0(X11,X13)) ) )
                                        & sdtasdt0(X7,X10) = X12 )
                                    & aScalar0(X11) )
                                & aScalar0(X10)
                                & sdtasdt0(sK3,X4) = X10 )
                            & sdtasdt0(X4,X4) = X9 )
                        & sdtasdt0(sK3,sK3) = X8
                        & aScalar0(X8) )
                    & sdtasasdt0(sK1,sK2) = X7
                    & aScalar0(X7) ) )
            & aScalar0(X5)
            & sdtasasdt0(sK1,sK1) = X5 )
        & aScalar0(X4)
        & sdtlbdtrb0(xt,aDimensionOf0(xt)) = X4 )
   => ( ? [X5] :
          ( ? [X6] :
              ( aScalar0(X6)
              & sdtasasdt0(sK2,sK2) = X6
              & ? [X7] :
                  ( ? [X8] :
                      ( ? [X9] :
                          ( aScalar0(X9)
                          & ? [X10] :
                              ( ? [X11] :
                                  ( sdtasdt0(X5,X9) = X11
                                  & ? [X12] :
                                      ( aScalar0(X12)
                                      & ? [X13] :
                                          ( aScalar0(X13)
                                          & sdtasdt0(X8,X6) = X13
                                          & ? [X14] :
                                              ( sdtasdt0(X11,X13) = X14
                                              & sdtlseqdt0(sdtasdt0(X7,X7),sdtasdt0(X5,X6))
                                              & sdtlseqdt0(sdtasdt0(sdtpldt0(X7,X10),sdtpldt0(X7,X10)),sdtasdt0(sdtpldt0(X5,X8),sdtpldt0(X6,X9)))
                                              & aScalar0(X14)
                                              & sdtlseqdt0(sdtasdt0(sdtasasdt0(xs,xt),sdtasasdt0(xs,xt)),sdtasdt0(sdtasasdt0(xs,xs),sdtasasdt0(xt,xt)))
                                              & sdtlseqdt0(sdtpldt0(X12,X12),sdtpldt0(X11,X13)) ) )
                                      & sdtasdt0(X7,X10) = X12 )
                                  & aScalar0(X11) )
                              & aScalar0(X10)
                              & sdtasdt0(sK3,sK4) = X10 )
                          & sdtasdt0(sK4,sK4) = X9 )
                      & sdtasdt0(sK3,sK3) = X8
                      & aScalar0(X8) )
                  & sdtasasdt0(sK1,sK2) = X7
                  & aScalar0(X7) ) )
          & aScalar0(X5)
          & sdtasasdt0(sK1,sK1) = X5 )
      & aScalar0(sK4)
      & sdtlbdtrb0(xt,aDimensionOf0(xt)) = sK4 ) ),
    introduced(choice_axiom,[]) ).

fof(f134,plain,
    ( ? [X5] :
        ( ? [X6] :
            ( aScalar0(X6)
            & sdtasasdt0(sK2,sK2) = X6
            & ? [X7] :
                ( ? [X8] :
                    ( ? [X9] :
                        ( aScalar0(X9)
                        & ? [X10] :
                            ( ? [X11] :
                                ( sdtasdt0(X5,X9) = X11
                                & ? [X12] :
                                    ( aScalar0(X12)
                                    & ? [X13] :
                                        ( aScalar0(X13)
                                        & sdtasdt0(X8,X6) = X13
                                        & ? [X14] :
                                            ( sdtasdt0(X11,X13) = X14
                                            & sdtlseqdt0(sdtasdt0(X7,X7),sdtasdt0(X5,X6))
                                            & sdtlseqdt0(sdtasdt0(sdtpldt0(X7,X10),sdtpldt0(X7,X10)),sdtasdt0(sdtpldt0(X5,X8),sdtpldt0(X6,X9)))
                                            & aScalar0(X14)
                                            & sdtlseqdt0(sdtasdt0(sdtasasdt0(xs,xt),sdtasasdt0(xs,xt)),sdtasdt0(sdtasasdt0(xs,xs),sdtasasdt0(xt,xt)))
                                            & sdtlseqdt0(sdtpldt0(X12,X12),sdtpldt0(X11,X13)) ) )
                                    & sdtasdt0(X7,X10) = X12 )
                                & aScalar0(X11) )
                            & aScalar0(X10)
                            & sdtasdt0(sK3,sK4) = X10 )
                        & sdtasdt0(sK4,sK4) = X9 )
                    & sdtasdt0(sK3,sK3) = X8
                    & aScalar0(X8) )
                & sdtasasdt0(sK1,sK2) = X7
                & aScalar0(X7) ) )
        & aScalar0(X5)
        & sdtasasdt0(sK1,sK1) = X5 )
   => ( ? [X6] :
          ( aScalar0(X6)
          & sdtasasdt0(sK2,sK2) = X6
          & ? [X7] :
              ( ? [X8] :
                  ( ? [X9] :
                      ( aScalar0(X9)
                      & ? [X10] :
                          ( ? [X11] :
                              ( sdtasdt0(sK5,X9) = X11
                              & ? [X12] :
                                  ( aScalar0(X12)
                                  & ? [X13] :
                                      ( aScalar0(X13)
                                      & sdtasdt0(X8,X6) = X13
                                      & ? [X14] :
                                          ( sdtasdt0(X11,X13) = X14
                                          & sdtlseqdt0(sdtasdt0(X7,X7),sdtasdt0(sK5,X6))
                                          & sdtlseqdt0(sdtasdt0(sdtpldt0(X7,X10),sdtpldt0(X7,X10)),sdtasdt0(sdtpldt0(sK5,X8),sdtpldt0(X6,X9)))
                                          & aScalar0(X14)
                                          & sdtlseqdt0(sdtasdt0(sdtasasdt0(xs,xt),sdtasasdt0(xs,xt)),sdtasdt0(sdtasasdt0(xs,xs),sdtasasdt0(xt,xt)))
                                          & sdtlseqdt0(sdtpldt0(X12,X12),sdtpldt0(X11,X13)) ) )
                                  & sdtasdt0(X7,X10) = X12 )
                              & aScalar0(X11) )
                          & aScalar0(X10)
                          & sdtasdt0(sK3,sK4) = X10 )
                      & sdtasdt0(sK4,sK4) = X9 )
                  & sdtasdt0(sK3,sK3) = X8
                  & aScalar0(X8) )
              & sdtasasdt0(sK1,sK2) = X7
              & aScalar0(X7) ) )
      & aScalar0(sK5)
      & sK5 = sdtasasdt0(sK1,sK1) ) ),
    introduced(choice_axiom,[]) ).

fof(f135,plain,
    ( ? [X6] :
        ( aScalar0(X6)
        & sdtasasdt0(sK2,sK2) = X6
        & ? [X7] :
            ( ? [X8] :
                ( ? [X9] :
                    ( aScalar0(X9)
                    & ? [X10] :
                        ( ? [X11] :
                            ( sdtasdt0(sK5,X9) = X11
                            & ? [X12] :
                                ( aScalar0(X12)
                                & ? [X13] :
                                    ( aScalar0(X13)
                                    & sdtasdt0(X8,X6) = X13
                                    & ? [X14] :
                                        ( sdtasdt0(X11,X13) = X14
                                        & sdtlseqdt0(sdtasdt0(X7,X7),sdtasdt0(sK5,X6))
                                        & sdtlseqdt0(sdtasdt0(sdtpldt0(X7,X10),sdtpldt0(X7,X10)),sdtasdt0(sdtpldt0(sK5,X8),sdtpldt0(X6,X9)))
                                        & aScalar0(X14)
                                        & sdtlseqdt0(sdtasdt0(sdtasasdt0(xs,xt),sdtasasdt0(xs,xt)),sdtasdt0(sdtasasdt0(xs,xs),sdtasasdt0(xt,xt)))
                                        & sdtlseqdt0(sdtpldt0(X12,X12),sdtpldt0(X11,X13)) ) )
                                & sdtasdt0(X7,X10) = X12 )
                            & aScalar0(X11) )
                        & aScalar0(X10)
                        & sdtasdt0(sK3,sK4) = X10 )
                    & sdtasdt0(sK4,sK4) = X9 )
                & sdtasdt0(sK3,sK3) = X8
                & aScalar0(X8) )
            & sdtasasdt0(sK1,sK2) = X7
            & aScalar0(X7) ) )
   => ( aScalar0(sK6)
      & sdtasasdt0(sK2,sK2) = sK6
      & ? [X7] :
          ( ? [X8] :
              ( ? [X9] :
                  ( aScalar0(X9)
                  & ? [X10] :
                      ( ? [X11] :
                          ( sdtasdt0(sK5,X9) = X11
                          & ? [X12] :
                              ( aScalar0(X12)
                              & ? [X13] :
                                  ( aScalar0(X13)
                                  & sdtasdt0(X8,sK6) = X13
                                  & ? [X14] :
                                      ( sdtasdt0(X11,X13) = X14
                                      & sdtlseqdt0(sdtasdt0(X7,X7),sdtasdt0(sK5,sK6))
                                      & sdtlseqdt0(sdtasdt0(sdtpldt0(X7,X10),sdtpldt0(X7,X10)),sdtasdt0(sdtpldt0(sK5,X8),sdtpldt0(sK6,X9)))
                                      & aScalar0(X14)
                                      & sdtlseqdt0(sdtasdt0(sdtasasdt0(xs,xt),sdtasasdt0(xs,xt)),sdtasdt0(sdtasasdt0(xs,xs),sdtasasdt0(xt,xt)))
                                      & sdtlseqdt0(sdtpldt0(X12,X12),sdtpldt0(X11,X13)) ) )
                              & sdtasdt0(X7,X10) = X12 )
                          & aScalar0(X11) )
                      & aScalar0(X10)
                      & sdtasdt0(sK3,sK4) = X10 )
                  & sdtasdt0(sK4,sK4) = X9 )
              & sdtasdt0(sK3,sK3) = X8
              & aScalar0(X8) )
          & sdtasasdt0(sK1,sK2) = X7
          & aScalar0(X7) ) ) ),
    introduced(choice_axiom,[]) ).

fof(f136,plain,
    ( ? [X7] :
        ( ? [X8] :
            ( ? [X9] :
                ( aScalar0(X9)
                & ? [X10] :
                    ( ? [X11] :
                        ( sdtasdt0(sK5,X9) = X11
                        & ? [X12] :
                            ( aScalar0(X12)
                            & ? [X13] :
                                ( aScalar0(X13)
                                & sdtasdt0(X8,sK6) = X13
                                & ? [X14] :
                                    ( sdtasdt0(X11,X13) = X14
                                    & sdtlseqdt0(sdtasdt0(X7,X7),sdtasdt0(sK5,sK6))
                                    & sdtlseqdt0(sdtasdt0(sdtpldt0(X7,X10),sdtpldt0(X7,X10)),sdtasdt0(sdtpldt0(sK5,X8),sdtpldt0(sK6,X9)))
                                    & aScalar0(X14)
                                    & sdtlseqdt0(sdtasdt0(sdtasasdt0(xs,xt),sdtasasdt0(xs,xt)),sdtasdt0(sdtasasdt0(xs,xs),sdtasasdt0(xt,xt)))
                                    & sdtlseqdt0(sdtpldt0(X12,X12),sdtpldt0(X11,X13)) ) )
                            & sdtasdt0(X7,X10) = X12 )
                        & aScalar0(X11) )
                    & aScalar0(X10)
                    & sdtasdt0(sK3,sK4) = X10 )
                & sdtasdt0(sK4,sK4) = X9 )
            & sdtasdt0(sK3,sK3) = X8
            & aScalar0(X8) )
        & sdtasasdt0(sK1,sK2) = X7
        & aScalar0(X7) )
   => ( ? [X8] :
          ( ? [X9] :
              ( aScalar0(X9)
              & ? [X10] :
                  ( ? [X11] :
                      ( sdtasdt0(sK5,X9) = X11
                      & ? [X12] :
                          ( aScalar0(X12)
                          & ? [X13] :
                              ( aScalar0(X13)
                              & sdtasdt0(X8,sK6) = X13
                              & ? [X14] :
                                  ( sdtasdt0(X11,X13) = X14
                                  & sdtlseqdt0(sdtasdt0(sK7,sK7),sdtasdt0(sK5,sK6))
                                  & sdtlseqdt0(sdtasdt0(sdtpldt0(sK7,X10),sdtpldt0(sK7,X10)),sdtasdt0(sdtpldt0(sK5,X8),sdtpldt0(sK6,X9)))
                                  & aScalar0(X14)
                                  & sdtlseqdt0(sdtasdt0(sdtasasdt0(xs,xt),sdtasasdt0(xs,xt)),sdtasdt0(sdtasasdt0(xs,xs),sdtasasdt0(xt,xt)))
                                  & sdtlseqdt0(sdtpldt0(X12,X12),sdtpldt0(X11,X13)) ) )
                          & sdtasdt0(sK7,X10) = X12 )
                      & aScalar0(X11) )
                  & aScalar0(X10)
                  & sdtasdt0(sK3,sK4) = X10 )
              & sdtasdt0(sK4,sK4) = X9 )
          & sdtasdt0(sK3,sK3) = X8
          & aScalar0(X8) )
      & sdtasasdt0(sK1,sK2) = sK7
      & aScalar0(sK7) ) ),
    introduced(choice_axiom,[]) ).

fof(f137,plain,
    ( ? [X8] :
        ( ? [X9] :
            ( aScalar0(X9)
            & ? [X10] :
                ( ? [X11] :
                    ( sdtasdt0(sK5,X9) = X11
                    & ? [X12] :
                        ( aScalar0(X12)
                        & ? [X13] :
                            ( aScalar0(X13)
                            & sdtasdt0(X8,sK6) = X13
                            & ? [X14] :
                                ( sdtasdt0(X11,X13) = X14
                                & sdtlseqdt0(sdtasdt0(sK7,sK7),sdtasdt0(sK5,sK6))
                                & sdtlseqdt0(sdtasdt0(sdtpldt0(sK7,X10),sdtpldt0(sK7,X10)),sdtasdt0(sdtpldt0(sK5,X8),sdtpldt0(sK6,X9)))
                                & aScalar0(X14)
                                & sdtlseqdt0(sdtasdt0(sdtasasdt0(xs,xt),sdtasasdt0(xs,xt)),sdtasdt0(sdtasasdt0(xs,xs),sdtasasdt0(xt,xt)))
                                & sdtlseqdt0(sdtpldt0(X12,X12),sdtpldt0(X11,X13)) ) )
                        & sdtasdt0(sK7,X10) = X12 )
                    & aScalar0(X11) )
                & aScalar0(X10)
                & sdtasdt0(sK3,sK4) = X10 )
            & sdtasdt0(sK4,sK4) = X9 )
        & sdtasdt0(sK3,sK3) = X8
        & aScalar0(X8) )
   => ( ? [X9] :
          ( aScalar0(X9)
          & ? [X10] :
              ( ? [X11] :
                  ( sdtasdt0(sK5,X9) = X11
                  & ? [X12] :
                      ( aScalar0(X12)
                      & ? [X13] :
                          ( aScalar0(X13)
                          & sdtasdt0(sK8,sK6) = X13
                          & ? [X14] :
                              ( sdtasdt0(X11,X13) = X14
                              & sdtlseqdt0(sdtasdt0(sK7,sK7),sdtasdt0(sK5,sK6))
                              & sdtlseqdt0(sdtasdt0(sdtpldt0(sK7,X10),sdtpldt0(sK7,X10)),sdtasdt0(sdtpldt0(sK5,sK8),sdtpldt0(sK6,X9)))
                              & aScalar0(X14)
                              & sdtlseqdt0(sdtasdt0(sdtasasdt0(xs,xt),sdtasasdt0(xs,xt)),sdtasdt0(sdtasasdt0(xs,xs),sdtasasdt0(xt,xt)))
                              & sdtlseqdt0(sdtpldt0(X12,X12),sdtpldt0(X11,X13)) ) )
                      & sdtasdt0(sK7,X10) = X12 )
                  & aScalar0(X11) )
              & aScalar0(X10)
              & sdtasdt0(sK3,sK4) = X10 )
          & sdtasdt0(sK4,sK4) = X9 )
      & sK8 = sdtasdt0(sK3,sK3)
      & aScalar0(sK8) ) ),
    introduced(choice_axiom,[]) ).

fof(f138,plain,
    ( ? [X9] :
        ( aScalar0(X9)
        & ? [X10] :
            ( ? [X11] :
                ( sdtasdt0(sK5,X9) = X11
                & ? [X12] :
                    ( aScalar0(X12)
                    & ? [X13] :
                        ( aScalar0(X13)
                        & sdtasdt0(sK8,sK6) = X13
                        & ? [X14] :
                            ( sdtasdt0(X11,X13) = X14
                            & sdtlseqdt0(sdtasdt0(sK7,sK7),sdtasdt0(sK5,sK6))
                            & sdtlseqdt0(sdtasdt0(sdtpldt0(sK7,X10),sdtpldt0(sK7,X10)),sdtasdt0(sdtpldt0(sK5,sK8),sdtpldt0(sK6,X9)))
                            & aScalar0(X14)
                            & sdtlseqdt0(sdtasdt0(sdtasasdt0(xs,xt),sdtasasdt0(xs,xt)),sdtasdt0(sdtasasdt0(xs,xs),sdtasasdt0(xt,xt)))
                            & sdtlseqdt0(sdtpldt0(X12,X12),sdtpldt0(X11,X13)) ) )
                    & sdtasdt0(sK7,X10) = X12 )
                & aScalar0(X11) )
            & aScalar0(X10)
            & sdtasdt0(sK3,sK4) = X10 )
        & sdtasdt0(sK4,sK4) = X9 )
   => ( aScalar0(sK9)
      & ? [X10] :
          ( ? [X11] :
              ( sdtasdt0(sK5,sK9) = X11
              & ? [X12] :
                  ( aScalar0(X12)
                  & ? [X13] :
                      ( aScalar0(X13)
                      & sdtasdt0(sK8,sK6) = X13
                      & ? [X14] :
                          ( sdtasdt0(X11,X13) = X14
                          & sdtlseqdt0(sdtasdt0(sK7,sK7),sdtasdt0(sK5,sK6))
                          & sdtlseqdt0(sdtasdt0(sdtpldt0(sK7,X10),sdtpldt0(sK7,X10)),sdtasdt0(sdtpldt0(sK5,sK8),sdtpldt0(sK6,sK9)))
                          & aScalar0(X14)
                          & sdtlseqdt0(sdtasdt0(sdtasasdt0(xs,xt),sdtasasdt0(xs,xt)),sdtasdt0(sdtasasdt0(xs,xs),sdtasasdt0(xt,xt)))
                          & sdtlseqdt0(sdtpldt0(X12,X12),sdtpldt0(X11,X13)) ) )
                  & sdtasdt0(sK7,X10) = X12 )
              & aScalar0(X11) )
          & aScalar0(X10)
          & sdtasdt0(sK3,sK4) = X10 )
      & sK9 = sdtasdt0(sK4,sK4) ) ),
    introduced(choice_axiom,[]) ).

fof(f139,plain,
    ( ? [X10] :
        ( ? [X11] :
            ( sdtasdt0(sK5,sK9) = X11
            & ? [X12] :
                ( aScalar0(X12)
                & ? [X13] :
                    ( aScalar0(X13)
                    & sdtasdt0(sK8,sK6) = X13
                    & ? [X14] :
                        ( sdtasdt0(X11,X13) = X14
                        & sdtlseqdt0(sdtasdt0(sK7,sK7),sdtasdt0(sK5,sK6))
                        & sdtlseqdt0(sdtasdt0(sdtpldt0(sK7,X10),sdtpldt0(sK7,X10)),sdtasdt0(sdtpldt0(sK5,sK8),sdtpldt0(sK6,sK9)))
                        & aScalar0(X14)
                        & sdtlseqdt0(sdtasdt0(sdtasasdt0(xs,xt),sdtasasdt0(xs,xt)),sdtasdt0(sdtasasdt0(xs,xs),sdtasasdt0(xt,xt)))
                        & sdtlseqdt0(sdtpldt0(X12,X12),sdtpldt0(X11,X13)) ) )
                & sdtasdt0(sK7,X10) = X12 )
            & aScalar0(X11) )
        & aScalar0(X10)
        & sdtasdt0(sK3,sK4) = X10 )
   => ( ? [X11] :
          ( sdtasdt0(sK5,sK9) = X11
          & ? [X12] :
              ( aScalar0(X12)
              & ? [X13] :
                  ( aScalar0(X13)
                  & sdtasdt0(sK8,sK6) = X13
                  & ? [X14] :
                      ( sdtasdt0(X11,X13) = X14
                      & sdtlseqdt0(sdtasdt0(sK7,sK7),sdtasdt0(sK5,sK6))
                      & sdtlseqdt0(sdtasdt0(sdtpldt0(sK7,sK10),sdtpldt0(sK7,sK10)),sdtasdt0(sdtpldt0(sK5,sK8),sdtpldt0(sK6,sK9)))
                      & aScalar0(X14)
                      & sdtlseqdt0(sdtasdt0(sdtasasdt0(xs,xt),sdtasasdt0(xs,xt)),sdtasdt0(sdtasasdt0(xs,xs),sdtasasdt0(xt,xt)))
                      & sdtlseqdt0(sdtpldt0(X12,X12),sdtpldt0(X11,X13)) ) )
              & sdtasdt0(sK7,sK10) = X12 )
          & aScalar0(X11) )
      & aScalar0(sK10)
      & sdtasdt0(sK3,sK4) = sK10 ) ),
    introduced(choice_axiom,[]) ).

fof(f140,plain,
    ( ? [X11] :
        ( sdtasdt0(sK5,sK9) = X11
        & ? [X12] :
            ( aScalar0(X12)
            & ? [X13] :
                ( aScalar0(X13)
                & sdtasdt0(sK8,sK6) = X13
                & ? [X14] :
                    ( sdtasdt0(X11,X13) = X14
                    & sdtlseqdt0(sdtasdt0(sK7,sK7),sdtasdt0(sK5,sK6))
                    & sdtlseqdt0(sdtasdt0(sdtpldt0(sK7,sK10),sdtpldt0(sK7,sK10)),sdtasdt0(sdtpldt0(sK5,sK8),sdtpldt0(sK6,sK9)))
                    & aScalar0(X14)
                    & sdtlseqdt0(sdtasdt0(sdtasasdt0(xs,xt),sdtasasdt0(xs,xt)),sdtasdt0(sdtasasdt0(xs,xs),sdtasasdt0(xt,xt)))
                    & sdtlseqdt0(sdtpldt0(X12,X12),sdtpldt0(X11,X13)) ) )
            & sdtasdt0(sK7,sK10) = X12 )
        & aScalar0(X11) )
   => ( sdtasdt0(sK5,sK9) = sK11
      & ? [X12] :
          ( aScalar0(X12)
          & ? [X13] :
              ( aScalar0(X13)
              & sdtasdt0(sK8,sK6) = X13
              & ? [X14] :
                  ( sdtasdt0(sK11,X13) = X14
                  & sdtlseqdt0(sdtasdt0(sK7,sK7),sdtasdt0(sK5,sK6))
                  & sdtlseqdt0(sdtasdt0(sdtpldt0(sK7,sK10),sdtpldt0(sK7,sK10)),sdtasdt0(sdtpldt0(sK5,sK8),sdtpldt0(sK6,sK9)))
                  & aScalar0(X14)
                  & sdtlseqdt0(sdtasdt0(sdtasasdt0(xs,xt),sdtasasdt0(xs,xt)),sdtasdt0(sdtasasdt0(xs,xs),sdtasasdt0(xt,xt)))
                  & sdtlseqdt0(sdtpldt0(X12,X12),sdtpldt0(sK11,X13)) ) )
          & sdtasdt0(sK7,sK10) = X12 )
      & aScalar0(sK11) ) ),
    introduced(choice_axiom,[]) ).

fof(f141,plain,
    ( ? [X12] :
        ( aScalar0(X12)
        & ? [X13] :
            ( aScalar0(X13)
            & sdtasdt0(sK8,sK6) = X13
            & ? [X14] :
                ( sdtasdt0(sK11,X13) = X14
                & sdtlseqdt0(sdtasdt0(sK7,sK7),sdtasdt0(sK5,sK6))
                & sdtlseqdt0(sdtasdt0(sdtpldt0(sK7,sK10),sdtpldt0(sK7,sK10)),sdtasdt0(sdtpldt0(sK5,sK8),sdtpldt0(sK6,sK9)))
                & aScalar0(X14)
                & sdtlseqdt0(sdtasdt0(sdtasasdt0(xs,xt),sdtasasdt0(xs,xt)),sdtasdt0(sdtasasdt0(xs,xs),sdtasasdt0(xt,xt)))
                & sdtlseqdt0(sdtpldt0(X12,X12),sdtpldt0(sK11,X13)) ) )
        & sdtasdt0(sK7,sK10) = X12 )
   => ( aScalar0(sK12)
      & ? [X13] :
          ( aScalar0(X13)
          & sdtasdt0(sK8,sK6) = X13
          & ? [X14] :
              ( sdtasdt0(sK11,X13) = X14
              & sdtlseqdt0(sdtasdt0(sK7,sK7),sdtasdt0(sK5,sK6))
              & sdtlseqdt0(sdtasdt0(sdtpldt0(sK7,sK10),sdtpldt0(sK7,sK10)),sdtasdt0(sdtpldt0(sK5,sK8),sdtpldt0(sK6,sK9)))
              & aScalar0(X14)
              & sdtlseqdt0(sdtasdt0(sdtasasdt0(xs,xt),sdtasasdt0(xs,xt)),sdtasdt0(sdtasasdt0(xs,xs),sdtasasdt0(xt,xt)))
              & sdtlseqdt0(sdtpldt0(sK12,sK12),sdtpldt0(sK11,X13)) ) )
      & sK12 = sdtasdt0(sK7,sK10) ) ),
    introduced(choice_axiom,[]) ).

fof(f142,plain,
    ( ? [X13] :
        ( aScalar0(X13)
        & sdtasdt0(sK8,sK6) = X13
        & ? [X14] :
            ( sdtasdt0(sK11,X13) = X14
            & sdtlseqdt0(sdtasdt0(sK7,sK7),sdtasdt0(sK5,sK6))
            & sdtlseqdt0(sdtasdt0(sdtpldt0(sK7,sK10),sdtpldt0(sK7,sK10)),sdtasdt0(sdtpldt0(sK5,sK8),sdtpldt0(sK6,sK9)))
            & aScalar0(X14)
            & sdtlseqdt0(sdtasdt0(sdtasasdt0(xs,xt),sdtasasdt0(xs,xt)),sdtasdt0(sdtasasdt0(xs,xs),sdtasasdt0(xt,xt)))
            & sdtlseqdt0(sdtpldt0(sK12,sK12),sdtpldt0(sK11,X13)) ) )
   => ( aScalar0(sK13)
      & sK13 = sdtasdt0(sK8,sK6)
      & ? [X14] :
          ( sdtasdt0(sK11,sK13) = X14
          & sdtlseqdt0(sdtasdt0(sK7,sK7),sdtasdt0(sK5,sK6))
          & sdtlseqdt0(sdtasdt0(sdtpldt0(sK7,sK10),sdtpldt0(sK7,sK10)),sdtasdt0(sdtpldt0(sK5,sK8),sdtpldt0(sK6,sK9)))
          & aScalar0(X14)
          & sdtlseqdt0(sdtasdt0(sdtasasdt0(xs,xt),sdtasasdt0(xs,xt)),sdtasdt0(sdtasasdt0(xs,xs),sdtasasdt0(xt,xt)))
          & sdtlseqdt0(sdtpldt0(sK12,sK12),sdtpldt0(sK11,sK13)) ) ) ),
    introduced(choice_axiom,[]) ).

fof(f143,plain,
    ( ? [X14] :
        ( sdtasdt0(sK11,sK13) = X14
        & sdtlseqdt0(sdtasdt0(sK7,sK7),sdtasdt0(sK5,sK6))
        & sdtlseqdt0(sdtasdt0(sdtpldt0(sK7,sK10),sdtpldt0(sK7,sK10)),sdtasdt0(sdtpldt0(sK5,sK8),sdtpldt0(sK6,sK9)))
        & aScalar0(X14)
        & sdtlseqdt0(sdtasdt0(sdtasasdt0(xs,xt),sdtasasdt0(xs,xt)),sdtasdt0(sdtasasdt0(xs,xs),sdtasasdt0(xt,xt)))
        & sdtlseqdt0(sdtpldt0(sK12,sK12),sdtpldt0(sK11,sK13)) )
   => ( sK14 = sdtasdt0(sK11,sK13)
      & sdtlseqdt0(sdtasdt0(sK7,sK7),sdtasdt0(sK5,sK6))
      & sdtlseqdt0(sdtasdt0(sdtpldt0(sK7,sK10),sdtpldt0(sK7,sK10)),sdtasdt0(sdtpldt0(sK5,sK8),sdtpldt0(sK6,sK9)))
      & aScalar0(sK14)
      & sdtlseqdt0(sdtasdt0(sdtasasdt0(xs,xt),sdtasasdt0(xs,xt)),sdtasdt0(sdtasasdt0(xs,xs),sdtasasdt0(xt,xt)))
      & sdtlseqdt0(sdtpldt0(sK12,sK12),sdtpldt0(sK11,sK13)) ) ),
    introduced(choice_axiom,[]) ).

fof(f129,plain,
    ( ~ sdtlseqdt0(sdtasdt0(sdtasasdt0(xs,xt),sdtasasdt0(xs,xt)),sdtasdt0(sdtasasdt0(xs,xs),sdtasasdt0(xt,xt)))
    & ( ? [X0] :
          ( aDimensionOf0(xs) = szszuzczcdt0(aDimensionOf0(X0))
          & ! [X1] :
              ( ~ aNaturalNumber0(X1)
              | sdtlbdtrb0(X0,X1) = sdtlbdtrb0(xs,X1) )
          & ? [X2] :
              ( ? [X3] :
                  ( aScalar0(X3)
                  & ? [X4] :
                      ( ? [X5] :
                          ( ? [X6] :
                              ( aScalar0(X6)
                              & sdtasasdt0(X2,X2) = X6
                              & ? [X7] :
                                  ( ? [X8] :
                                      ( ? [X9] :
                                          ( aScalar0(X9)
                                          & ? [X10] :
                                              ( ? [X11] :
                                                  ( sdtasdt0(X5,X9) = X11
                                                  & ? [X12] :
                                                      ( aScalar0(X12)
                                                      & ? [X13] :
                                                          ( aScalar0(X13)
                                                          & sdtasdt0(X8,X6) = X13
                                                          & ? [X14] :
                                                              ( sdtasdt0(X11,X13) = X14
                                                              & sdtlseqdt0(sdtasdt0(X7,X7),sdtasdt0(X5,X6))
                                                              & sdtlseqdt0(sdtasdt0(sdtpldt0(X7,X10),sdtpldt0(X7,X10)),sdtasdt0(sdtpldt0(X5,X8),sdtpldt0(X6,X9)))
                                                              & aScalar0(X14)
                                                              & sdtlseqdt0(sdtasdt0(sdtasasdt0(xs,xt),sdtasasdt0(xs,xt)),sdtasdt0(sdtasasdt0(xs,xs),sdtasasdt0(xt,xt)))
                                                              & sdtlseqdt0(sdtpldt0(X12,X12),sdtpldt0(X11,X13)) ) )
                                                      & sdtasdt0(X7,X10) = X12 )
                                                  & aScalar0(X11) )
                                              & aScalar0(X10)
                                              & sdtasdt0(X3,X4) = X10 )
                                          & sdtasdt0(X4,X4) = X9 )
                                      & sdtasdt0(X3,X3) = X8
                                      & aScalar0(X8) )
                                  & sdtasasdt0(X0,X2) = X7
                                  & aScalar0(X7) ) )
                          & aScalar0(X5)
                          & sdtasasdt0(X0,X0) = X5 )
                      & aScalar0(X4)
                      & sdtlbdtrb0(xt,aDimensionOf0(xt)) = X4 )
                  & sdtlbdtrb0(xs,aDimensionOf0(xs)) = X3 )
              & aDimensionOf0(xt) = szszuzczcdt0(aDimensionOf0(X2))
              & ! [X15] :
                  ( sdtlbdtrb0(X2,X15) = sdtlbdtrb0(xt,X15)
                  | ~ aNaturalNumber0(X15) )
              & aVector0(X2)
              & sziznziztdt0(xt) = X2 )
          & sziznziztdt0(xs) = X0
          & aVector0(X0) )
      | sz00 = aDimensionOf0(xs) ) ),
    inference(rectify,[],[f79]) ).

fof(f79,plain,
    ( ~ sdtlseqdt0(sdtasdt0(sdtasasdt0(xs,xt),sdtasasdt0(xs,xt)),sdtasdt0(sdtasasdt0(xs,xs),sdtasasdt0(xt,xt)))
    & ( ? [X0] :
          ( aDimensionOf0(xs) = szszuzczcdt0(aDimensionOf0(X0))
          & ! [X1] :
              ( ~ aNaturalNumber0(X1)
              | sdtlbdtrb0(X0,X1) = sdtlbdtrb0(xs,X1) )
          & ? [X2] :
              ( ? [X4] :
                  ( aScalar0(X4)
                  & ? [X5] :
                      ( ? [X6] :
                          ( ? [X7] :
                              ( aScalar0(X7)
                              & sdtasasdt0(X2,X2) = X7
                              & ? [X8] :
                                  ( ? [X9] :
                                      ( ? [X10] :
                                          ( aScalar0(X10)
                                          & ? [X11] :
                                              ( ? [X12] :
                                                  ( sdtasdt0(X6,X10) = X12
                                                  & ? [X13] :
                                                      ( aScalar0(X13)
                                                      & ? [X14] :
                                                          ( aScalar0(X14)
                                                          & sdtasdt0(X9,X7) = X14
                                                          & ? [X15] :
                                                              ( sdtasdt0(X12,X14) = X15
                                                              & sdtlseqdt0(sdtasdt0(X8,X8),sdtasdt0(X6,X7))
                                                              & sdtlseqdt0(sdtasdt0(sdtpldt0(X8,X11),sdtpldt0(X8,X11)),sdtasdt0(sdtpldt0(X6,X9),sdtpldt0(X7,X10)))
                                                              & aScalar0(X15)
                                                              & sdtlseqdt0(sdtasdt0(sdtasasdt0(xs,xt),sdtasasdt0(xs,xt)),sdtasdt0(sdtasasdt0(xs,xs),sdtasasdt0(xt,xt)))
                                                              & sdtlseqdt0(sdtpldt0(X13,X13),sdtpldt0(X12,X14)) ) )
                                                      & sdtasdt0(X8,X11) = X13 )
                                                  & aScalar0(X12) )
                                              & aScalar0(X11)
                                              & sdtasdt0(X4,X5) = X11 )
                                          & sdtasdt0(X5,X5) = X10 )
                                      & sdtasdt0(X4,X4) = X9
                                      & aScalar0(X9) )
                                  & sdtasasdt0(X0,X2) = X8
                                  & aScalar0(X8) ) )
                          & aScalar0(X6)
                          & sdtasasdt0(X0,X0) = X6 )
                      & aScalar0(X5)
                      & sdtlbdtrb0(xt,aDimensionOf0(xt)) = X5 )
                  & sdtlbdtrb0(xs,aDimensionOf0(xs)) = X4 )
              & aDimensionOf0(xt) = szszuzczcdt0(aDimensionOf0(X2))
              & ! [X3] :
                  ( sdtlbdtrb0(X2,X3) = sdtlbdtrb0(xt,X3)
                  | ~ aNaturalNumber0(X3) )
              & aVector0(X2)
              & sziznziztdt0(xt) = X2 )
          & sziznziztdt0(xs) = X0
          & aVector0(X0) )
      | sz00 = aDimensionOf0(xs) ) ),
    inference(ennf_transformation,[],[f59]) ).

fof(f59,plain,
    ~ ( ( sz00 != aDimensionOf0(xs)
       => ? [X0] :
            ( ? [X2] :
                ( aVector0(X2)
                & sziznziztdt0(xt) = X2
                & aDimensionOf0(xt) = szszuzczcdt0(aDimensionOf0(X2))
                & ? [X4] :
                    ( aScalar0(X4)
                    & ? [X5] :
                        ( ? [X6] :
                            ( ? [X7] :
                                ( aScalar0(X7)
                                & sdtasasdt0(X2,X2) = X7
                                & ? [X8] :
                                    ( ? [X9] :
                                        ( ? [X10] :
                                            ( aScalar0(X10)
                                            & ? [X11] :
                                                ( ? [X12] :
                                                    ( sdtasdt0(X6,X10) = X12
                                                    & ? [X13] :
                                                        ( aScalar0(X13)
                                                        & ? [X14] :
                                                            ( aScalar0(X14)
                                                            & sdtasdt0(X9,X7) = X14
                                                            & ? [X15] :
                                                                ( sdtasdt0(X12,X14) = X15
                                                                & sdtlseqdt0(sdtasdt0(X8,X8),sdtasdt0(X6,X7))
                                                                & sdtlseqdt0(sdtasdt0(sdtpldt0(X8,X11),sdtpldt0(X8,X11)),sdtasdt0(sdtpldt0(X6,X9),sdtpldt0(X7,X10)))
                                                                & aScalar0(X15)
                                                                & sdtlseqdt0(sdtasdt0(sdtasasdt0(xs,xt),sdtasasdt0(xs,xt)),sdtasdt0(sdtasasdt0(xs,xs),sdtasasdt0(xt,xt)))
                                                                & sdtlseqdt0(sdtpldt0(X13,X13),sdtpldt0(X12,X14)) ) )
                                                        & sdtasdt0(X8,X11) = X13 )
                                                    & aScalar0(X12) )
                                                & aScalar0(X11)
                                                & sdtasdt0(X4,X5) = X11 )
                                            & sdtasdt0(X5,X5) = X10 )
                                        & sdtasdt0(X4,X4) = X9
                                        & aScalar0(X9) )
                                    & sdtasasdt0(X0,X2) = X8
                                    & aScalar0(X8) ) )
                            & aScalar0(X6)
                            & sdtasasdt0(X0,X0) = X6 )
                        & aScalar0(X5)
                        & sdtlbdtrb0(xt,aDimensionOf0(xt)) = X5 )
                    & sdtlbdtrb0(xs,aDimensionOf0(xs)) = X4 )
                & ! [X3] :
                    ( aNaturalNumber0(X3)
                   => sdtlbdtrb0(X2,X3) = sdtlbdtrb0(xt,X3) ) )
            & ! [X1] :
                ( aNaturalNumber0(X1)
               => sdtlbdtrb0(X0,X1) = sdtlbdtrb0(xs,X1) )
            & sziznziztdt0(xs) = X0
            & aVector0(X0)
            & aDimensionOf0(xs) = szszuzczcdt0(aDimensionOf0(X0)) ) )
     => sdtlseqdt0(sdtasdt0(sdtasasdt0(xs,xt),sdtasasdt0(xs,xt)),sdtasdt0(sdtasasdt0(xs,xs),sdtasasdt0(xt,xt))) ),
    inference(rectify,[],[f42]) ).

fof(f42,negated_conjecture,
    ~ ( ( sz00 != aDimensionOf0(xs)
       => ? [X0] :
            ( sziznziztdt0(xs) = X0
            & aVector0(X0)
            & aDimensionOf0(xs) = szszuzczcdt0(aDimensionOf0(X0))
            & ! [X1] :
                ( aNaturalNumber0(X1)
               => sdtlbdtrb0(X0,X1) = sdtlbdtrb0(xs,X1) )
            & ? [X1] :
                ( szszuzczcdt0(aDimensionOf0(X1)) = aDimensionOf0(xt)
                & ! [X2] :
                    ( aNaturalNumber0(X2)
                   => sdtlbdtrb0(X1,X2) = sdtlbdtrb0(xt,X2) )
                & sziznziztdt0(xt) = X1
                & ? [X2] :
                    ( ? [X3] :
                        ( ? [X4] :
                            ( sdtasasdt0(X0,X0) = X4
                            & ? [X5] :
                                ( ? [X6] :
                                    ( sdtasasdt0(X0,X1) = X6
                                    & ? [X7] :
                                        ( aScalar0(X7)
                                        & ? [X8] :
                                            ( sdtasdt0(X3,X3) = X8
                                            & aScalar0(X8)
                                            & ? [X9] :
                                                ( ? [X10] :
                                                    ( sdtasdt0(X4,X8) = X10
                                                    & aScalar0(X10)
                                                    & ? [X11] :
                                                        ( sdtasdt0(X6,X9) = X11
                                                        & ? [X12] :
                                                            ( aScalar0(X12)
                                                            & ? [X13] :
                                                                ( sdtasdt0(X10,X12) = X13
                                                                & sdtlseqdt0(sdtpldt0(X11,X11),sdtpldt0(X10,X12))
                                                                & sdtlseqdt0(sdtasdt0(sdtpldt0(X6,X9),sdtpldt0(X6,X9)),sdtasdt0(sdtpldt0(X4,X7),sdtpldt0(X5,X8)))
                                                                & aScalar0(X13)
                                                                & sdtlseqdt0(sdtasdt0(X6,X6),sdtasdt0(X4,X5))
                                                                & sdtlseqdt0(sdtasdt0(sdtasasdt0(xs,xt),sdtasasdt0(xs,xt)),sdtasdt0(sdtasasdt0(xs,xs),sdtasasdt0(xt,xt))) )
                                                            & sdtasdt0(X7,X5) = X12 )
                                                        & aScalar0(X11) ) )
                                                & sdtasdt0(X2,X3) = X9
                                                & aScalar0(X9) ) )
                                        & sdtasdt0(X2,X2) = X7 )
                                    & aScalar0(X6) )
                                & aScalar0(X5)
                                & sdtasasdt0(X1,X1) = X5 )
                            & aScalar0(X4) )
                        & aScalar0(X3)
                        & sdtlbdtrb0(xt,aDimensionOf0(xt)) = X3 )
                    & sdtlbdtrb0(xs,aDimensionOf0(xs)) = X2
                    & aScalar0(X2) )
                & aVector0(X1) ) ) )
     => sdtlseqdt0(sdtasdt0(sdtasasdt0(xs,xt),sdtasasdt0(xs,xt)),sdtasdt0(sdtasasdt0(xs,xs),sdtasasdt0(xt,xt))) ),
    inference(negated_conjecture,[],[f41]) ).

fof(f41,conjecture,
    ( ( sz00 != aDimensionOf0(xs)
     => ? [X0] :
          ( sziznziztdt0(xs) = X0
          & aVector0(X0)
          & aDimensionOf0(xs) = szszuzczcdt0(aDimensionOf0(X0))
          & ! [X1] :
              ( aNaturalNumber0(X1)
             => sdtlbdtrb0(X0,X1) = sdtlbdtrb0(xs,X1) )
          & ? [X1] :
              ( szszuzczcdt0(aDimensionOf0(X1)) = aDimensionOf0(xt)
              & ! [X2] :
                  ( aNaturalNumber0(X2)
                 => sdtlbdtrb0(X1,X2) = sdtlbdtrb0(xt,X2) )
              & sziznziztdt0(xt) = X1
              & ? [X2] :
                  ( ? [X3] :
                      ( ? [X4] :
                          ( sdtasasdt0(X0,X0) = X4
                          & ? [X5] :
                              ( ? [X6] :
                                  ( sdtasasdt0(X0,X1) = X6
                                  & ? [X7] :
                                      ( aScalar0(X7)
                                      & ? [X8] :
                                          ( sdtasdt0(X3,X3) = X8
                                          & aScalar0(X8)
                                          & ? [X9] :
                                              ( ? [X10] :
                                                  ( sdtasdt0(X4,X8) = X10
                                                  & aScalar0(X10)
                                                  & ? [X11] :
                                                      ( sdtasdt0(X6,X9) = X11
                                                      & ? [X12] :
                                                          ( aScalar0(X12)
                                                          & ? [X13] :
                                                              ( sdtasdt0(X10,X12) = X13
                                                              & sdtlseqdt0(sdtpldt0(X11,X11),sdtpldt0(X10,X12))
                                                              & sdtlseqdt0(sdtasdt0(sdtpldt0(X6,X9),sdtpldt0(X6,X9)),sdtasdt0(sdtpldt0(X4,X7),sdtpldt0(X5,X8)))
                                                              & aScalar0(X13)
                                                              & sdtlseqdt0(sdtasdt0(X6,X6),sdtasdt0(X4,X5))
                                                              & sdtlseqdt0(sdtasdt0(sdtasasdt0(xs,xt),sdtasasdt0(xs,xt)),sdtasdt0(sdtasasdt0(xs,xs),sdtasasdt0(xt,xt))) )
                                                          & sdtasdt0(X7,X5) = X12 )
                                                      & aScalar0(X11) ) )
                                              & sdtasdt0(X2,X3) = X9
                                              & aScalar0(X9) ) )
                                      & sdtasdt0(X2,X2) = X7 )
                                  & aScalar0(X6) )
                              & aScalar0(X5)
                              & sdtasasdt0(X1,X1) = X5 )
                          & aScalar0(X4) )
                      & aScalar0(X3)
                      & sdtlbdtrb0(xt,aDimensionOf0(xt)) = X3 )
                  & sdtlbdtrb0(xs,aDimensionOf0(xs)) = X2
                  & aScalar0(X2) )
              & aVector0(X1) ) ) )
   => sdtlseqdt0(sdtasdt0(sdtasasdt0(xs,xt),sdtasasdt0(xs,xt)),sdtasdt0(sdtasasdt0(xs,xs),sdtasasdt0(xt,xt))) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).

fof(f439,plain,
    ( spl16_40
    | spl16_4 ),
    inference(avatar_split_clause,[],[f201,f260,f436]) ).

fof(f201,plain,
    ( sz00 = aDimensionOf0(xs)
    | sdtlseqdt0(sdtasdt0(sdtasasdt0(xs,xt),sdtasasdt0(xs,xt)),sdtasdt0(sdtasasdt0(xs,xs),sdtasasdt0(xt,xt))) ),
    inference(cnf_transformation,[],[f144]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11  % Problem    : RNG081+2 : TPTP v8.1.0. Released v4.0.0.
% 0.06/0.12  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.11/0.32  % Computer : n023.cluster.edu
% 0.11/0.32  % Model    : x86_64 x86_64
% 0.11/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32  % Memory   : 8042.1875MB
% 0.11/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32  % CPULimit   : 300
% 0.11/0.32  % WCLimit    : 300
% 0.11/0.32  % DateTime   : Tue Aug 30 12:24:05 EDT 2022
% 0.11/0.32  % CPUTime    : 
% 0.16/0.43  % (18731)ott+21_1:1_erd=off:s2a=on:sac=on:sd=1:sgt=64:sos=on:ss=included:st=3.0:to=lpo:urr=on:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.16/0.44  % (18723)lrs+10_1:32_br=off:nm=16:sd=2:ss=axioms:st=2.0:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.16/0.48  % (18727)fmb+10_1:1_nm=2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.16/0.48  % (18717)lrs+2_1:1_lcm=reverse:lma=on:sos=all:spb=goal_then_units:ss=included:urr=on:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 0.16/0.48  % (18718)dis+10_1:1_newcnf=on:sgt=8:sos=on:ss=axioms:to=lpo:urr=on:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/49Mi)
% 0.16/0.48  % (18719)lrs+10_1:1_br=off:sos=on:ss=axioms:st=2.0:urr=on:i=33:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/33Mi)
% 0.16/0.49  % (18735)lrs+11_1:1_plsq=on:plsqc=1:plsqr=32,1:ss=included:i=95:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/95Mi)
% 0.16/0.49  % (18733)dis+10_1:1_av=off:sos=on:sp=reverse_arity:ss=included:st=2.0:to=lpo:urr=ec_only:i=45:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/45Mi)
% 0.16/0.49  % (18725)lrs+10_1:1_drc=off:sp=reverse_frequency:spb=goal:to=lpo:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.16/0.50  % (18727)Instruction limit reached!
% 0.16/0.50  % (18727)------------------------------
% 0.16/0.50  % (18727)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.16/0.50  % (18727)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.16/0.50  % (18727)Termination reason: Unknown
% 0.16/0.50  % (18727)Termination phase: Preprocessing 3
% 0.16/0.50  
% 0.16/0.50  % (18727)Memory used [KB]: 1535
% 0.16/0.50  % (18727)Time elapsed: 0.003 s
% 0.16/0.50  % (18727)Instructions burned: 3 (million)
% 0.16/0.50  % (18727)------------------------------
% 0.16/0.50  % (18727)------------------------------
% 0.16/0.50  % (18725)Instruction limit reached!
% 0.16/0.50  % (18725)------------------------------
% 0.16/0.50  % (18725)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.16/0.50  % (18732)dis+1010_2:3_fs=off:fsr=off:nm=0:nwc=5.0:s2a=on:s2agt=32:i=82:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/82Mi)
% 0.16/0.50  % (18724)lrs+10_1:1_ins=3:sp=reverse_frequency:spb=goal:to=lpo:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.16/0.51  % (18723)Instruction limit reached!
% 0.16/0.51  % (18723)------------------------------
% 0.16/0.51  % (18723)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.16/0.51  % (18724)Instruction limit reached!
% 0.16/0.51  % (18724)------------------------------
% 0.16/0.51  % (18724)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.16/0.51  % (18724)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.16/0.51  % (18724)Termination reason: Unknown
% 0.16/0.51  % (18724)Termination phase: Preprocessing 3
% 0.16/0.51  
% 0.16/0.51  % (18724)Memory used [KB]: 1535
% 0.16/0.51  % (18724)Time elapsed: 0.004 s
% 0.16/0.51  % (18724)Instructions burned: 3 (million)
% 0.16/0.51  % (18724)------------------------------
% 0.16/0.51  % (18724)------------------------------
% 0.16/0.52  % (18725)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.16/0.52  % (18725)Termination reason: Unknown
% 0.16/0.52  % (18725)Termination phase: Saturation
% 0.16/0.52  
% 0.16/0.52  % (18725)Memory used [KB]: 6140
% 0.16/0.52  % (18725)Time elapsed: 0.007 s
% 0.16/0.52  % (18725)Instructions burned: 7 (million)
% 0.16/0.52  % (18725)------------------------------
% 0.16/0.52  % (18725)------------------------------
% 0.16/0.52  % (18723)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.16/0.52  % (18723)Termination reason: Unknown
% 0.16/0.52  % (18723)Termination phase: Saturation
% 0.16/0.52  
% 0.16/0.52  % (18723)Memory used [KB]: 7803
% 0.16/0.52  % (18723)Time elapsed: 0.125 s
% 0.16/0.52  % (18723)Instructions burned: 52 (million)
% 0.16/0.52  % (18723)------------------------------
% 0.16/0.52  % (18723)------------------------------
% 0.16/0.53  % (18719)Instruction limit reached!
% 0.16/0.53  % (18719)------------------------------
% 0.16/0.53  % (18719)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.16/0.53  % (18719)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.16/0.53  % (18719)Termination reason: Unknown
% 0.16/0.53  % (18719)Termination phase: Saturation
% 0.16/0.53  
% 0.16/0.53  % (18719)Memory used [KB]: 6652
% 0.16/0.53  % (18719)Time elapsed: 0.138 s
% 0.16/0.53  % (18719)Instructions burned: 33 (million)
% 0.16/0.53  % (18719)------------------------------
% 0.16/0.53  % (18719)------------------------------
% 0.16/0.53  % (18728)ott+1010_1:1_sd=2:sos=on:sp=occurrence:ss=axioms:urr=on:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.16/0.53  % (18728)Instruction limit reached!
% 0.16/0.53  % (18728)------------------------------
% 0.16/0.53  % (18728)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.16/0.53  % (18728)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.16/0.53  % (18728)Termination reason: Unknown
% 0.16/0.53  % (18728)Termination phase: Naming
% 0.16/0.53  
% 0.16/0.53  % (18728)Memory used [KB]: 1407
% 0.16/0.53  % (18728)Time elapsed: 0.003 s
% 0.16/0.53  % (18728)Instructions burned: 2 (million)
% 0.16/0.53  % (18728)------------------------------
% 0.16/0.53  % (18728)------------------------------
% 0.16/0.53  % (18714)lrs+10_1:1024_nm=0:nwc=5.0:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 0.16/0.54  % (18717)Instruction limit reached!
% 0.16/0.54  % (18717)------------------------------
% 0.16/0.54  % (18717)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.16/0.54  % (18717)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.16/0.54  % (18717)Termination reason: Unknown
% 0.16/0.54  % (18717)Termination phase: Saturation
% 0.16/0.54  
% 0.16/0.54  % (18717)Memory used [KB]: 6780
% 0.16/0.54  % (18717)Time elapsed: 0.151 s
% 0.16/0.54  % (18717)Instructions burned: 40 (million)
% 0.16/0.54  % (18717)------------------------------
% 0.16/0.54  % (18717)------------------------------
% 0.16/0.54  % (18736)lrs+1011_1:1_fd=preordered:fsd=on:sos=on:thsq=on:thsqc=64:thsqd=32:uwa=ground:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.63/0.55  % (18718)Instruction limit reached!
% 1.63/0.55  % (18718)------------------------------
% 1.63/0.55  % (18718)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.63/0.55  % (18718)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.63/0.55  % (18718)Termination reason: Unknown
% 1.63/0.55  % (18718)Termination phase: Saturation
% 1.63/0.55  
% 1.63/0.55  % (18718)Memory used [KB]: 7036
% 1.63/0.55  % (18718)Time elapsed: 0.164 s
% 1.63/0.55  % (18718)Instructions burned: 50 (million)
% 1.63/0.55  % (18718)------------------------------
% 1.63/0.55  % (18718)------------------------------
% 1.63/0.55  % (18721)lrs+10_1:2_br=off:nm=4:ss=included:urr=on:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 1.63/0.55  % (18732)First to succeed.
% 1.63/0.56  % (18714)Instruction limit reached!
% 1.63/0.56  % (18714)------------------------------
% 1.63/0.56  % (18714)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.63/0.56  % (18714)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.63/0.56  % (18714)Termination reason: Unknown
% 1.63/0.56  % (18714)Termination phase: Saturation
% 1.63/0.56  
% 1.63/0.56  % (18714)Memory used [KB]: 6396
% 1.63/0.56  % (18714)Time elapsed: 0.152 s
% 1.63/0.56  % (18714)Instructions burned: 14 (million)
% 1.63/0.56  % (18714)------------------------------
% 1.63/0.56  % (18714)------------------------------
% 1.63/0.57  % (18731)Instruction limit reached!
% 1.63/0.57  % (18731)------------------------------
% 1.63/0.57  % (18731)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.63/0.57  % (18731)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.63/0.57  % (18731)Termination reason: Unknown
% 1.63/0.57  % (18731)Termination phase: Saturation
% 1.63/0.57  
% 1.63/0.57  % (18731)Memory used [KB]: 7419
% 1.63/0.57  % (18731)Time elapsed: 0.177 s
% 1.63/0.57  % (18731)Instructions burned: 99 (million)
% 1.63/0.57  % (18731)------------------------------
% 1.63/0.57  % (18731)------------------------------
% 1.81/0.57  % (18721)Instruction limit reached!
% 1.81/0.57  % (18721)------------------------------
% 1.81/0.57  % (18721)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.81/0.57  % (18721)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.81/0.57  % (18721)Termination reason: Unknown
% 1.81/0.57  % (18721)Termination phase: Saturation
% 1.81/0.57  
% 1.81/0.57  % (18721)Memory used [KB]: 6140
% 1.81/0.57  % (18721)Time elapsed: 0.007 s
% 1.81/0.57  % (18721)Instructions burned: 8 (million)
% 1.81/0.57  % (18721)------------------------------
% 1.81/0.57  % (18721)------------------------------
% 1.81/0.58  % (18732)Refutation found. Thanks to Tanya!
% 1.81/0.58  % SZS status Theorem for theBenchmark
% 1.81/0.58  % SZS output start Proof for theBenchmark
% See solution above
% 1.81/0.58  % (18732)------------------------------
% 1.81/0.58  % (18732)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.81/0.58  % (18732)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.81/0.58  % (18732)Termination reason: Refutation
% 1.81/0.58  
% 1.81/0.58  % (18732)Memory used [KB]: 7036
% 1.81/0.58  % (18732)Time elapsed: 0.161 s
% 1.81/0.58  % (18732)Instructions burned: 29 (million)
% 1.81/0.58  % (18732)------------------------------
% 1.81/0.58  % (18732)------------------------------
% 1.81/0.58  % (18709)Success in time 0.24 s
%------------------------------------------------------------------------------