TSTP Solution File: RNG081+2 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : RNG081+2 : TPTP v8.2.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s

% Computer : n026.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 02:39:22 EDT 2024

% Result   : Theorem 0.67s 0.73s
% Output   : Refutation 0.67s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   15
%            Number of leaves      :   38
% Syntax   : Number of formulae    :  150 (  15 unt;   0 def)
%            Number of atoms       :  806 ( 278 equ)
%            Maximal formula atoms :   40 (   5 avg)
%            Number of connectives :  868 ( 212   ~; 199   |; 414   &)
%                                         (  10 <=>;  33  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   36 (   7 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :   21 (  19 usr;  11 prp; 0-8 aty)
%            Number of functors    :   26 (  26 usr;   5 con; 0-8 aty)
%            Number of variables   :  428 ( 298   !; 130   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1195,plain,
    $false,
    inference(avatar_sat_refutation,[],[f255,f310,f529,f693,f779,f780,f859,f900,f1028,f1103,f1157]) ).

fof(f1157,plain,
    ( spl21_36
    | ~ spl21_49 ),
    inference(avatar_split_clause,[],[f1029,f1018,f607]) ).

fof(f607,plain,
    ( spl21_36
  <=> ! [X0] : ~ sP4(X0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_36])]) ).

fof(f1018,plain,
    ( spl21_49
  <=> ! [X2,X0,X1] : ~ sP3(X0,X1,X2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_49])]) ).

fof(f1029,plain,
    ( ! [X0] : ~ sP4(X0)
    | ~ spl21_49 ),
    inference(resolution,[],[f1019,f157]) ).

fof(f157,plain,
    ! [X0] :
      ( sP3(X0,sK5(X0),sK6(X0))
      | ~ sP4(X0) ),
    inference(cnf_transformation,[],[f114]) ).

fof(f114,plain,
    ! [X0] :
      ( ( sP3(X0,sK5(X0),sK6(X0))
        & sdtlbdtrb0(xs,aDimensionOf0(xs)) = sK6(X0)
        & aScalar0(sK6(X0))
        & sziznziztdt0(xt) = sK5(X0)
        & ! [X3] :
            ( sdtlbdtrb0(xt,X3) = sdtlbdtrb0(sK5(X0),X3)
            | ~ aNaturalNumber0(X3) )
        & aDimensionOf0(xt) = szszuzczcdt0(aDimensionOf0(sK5(X0)))
        & aVector0(sK5(X0)) )
      | ~ sP4(X0) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK5,sK6])],[f111,f113,f112]) ).

fof(f112,plain,
    ! [X0] :
      ( ? [X1] :
          ( ? [X2] :
              ( sP3(X0,X1,X2)
              & sdtlbdtrb0(xs,aDimensionOf0(xs)) = X2
              & aScalar0(X2) )
          & sziznziztdt0(xt) = X1
          & ! [X3] :
              ( sdtlbdtrb0(X1,X3) = sdtlbdtrb0(xt,X3)
              | ~ aNaturalNumber0(X3) )
          & szszuzczcdt0(aDimensionOf0(X1)) = aDimensionOf0(xt)
          & aVector0(X1) )
     => ( ? [X2] :
            ( sP3(X0,sK5(X0),X2)
            & sdtlbdtrb0(xs,aDimensionOf0(xs)) = X2
            & aScalar0(X2) )
        & sziznziztdt0(xt) = sK5(X0)
        & ! [X3] :
            ( sdtlbdtrb0(xt,X3) = sdtlbdtrb0(sK5(X0),X3)
            | ~ aNaturalNumber0(X3) )
        & aDimensionOf0(xt) = szszuzczcdt0(aDimensionOf0(sK5(X0)))
        & aVector0(sK5(X0)) ) ),
    introduced(choice_axiom,[]) ).

fof(f113,plain,
    ! [X0] :
      ( ? [X2] :
          ( sP3(X0,sK5(X0),X2)
          & sdtlbdtrb0(xs,aDimensionOf0(xs)) = X2
          & aScalar0(X2) )
     => ( sP3(X0,sK5(X0),sK6(X0))
        & sdtlbdtrb0(xs,aDimensionOf0(xs)) = sK6(X0)
        & aScalar0(sK6(X0)) ) ),
    introduced(choice_axiom,[]) ).

fof(f111,plain,
    ! [X0] :
      ( ? [X1] :
          ( ? [X2] :
              ( sP3(X0,X1,X2)
              & sdtlbdtrb0(xs,aDimensionOf0(xs)) = X2
              & aScalar0(X2) )
          & sziznziztdt0(xt) = X1
          & ! [X3] :
              ( sdtlbdtrb0(X1,X3) = sdtlbdtrb0(xt,X3)
              | ~ aNaturalNumber0(X3) )
          & szszuzczcdt0(aDimensionOf0(X1)) = aDimensionOf0(xt)
          & aVector0(X1) )
      | ~ sP4(X0) ),
    inference(rectify,[],[f110]) ).

fof(f110,plain,
    ! [X0] :
      ( ? [X1] :
          ( ? [X2] :
              ( sP3(X0,X1,X2)
              & sdtlbdtrb0(xs,aDimensionOf0(xs)) = X2
              & aScalar0(X2) )
          & sziznziztdt0(xt) = X1
          & ! [X14] :
              ( sdtlbdtrb0(X1,X14) = sdtlbdtrb0(xt,X14)
              | ~ aNaturalNumber0(X14) )
          & szszuzczcdt0(aDimensionOf0(X1)) = aDimensionOf0(xt)
          & aVector0(X1) )
      | ~ sP4(X0) ),
    inference(nnf_transformation,[],[f108]) ).

fof(f108,plain,
    ! [X0] :
      ( ? [X1] :
          ( ? [X2] :
              ( sP3(X0,X1,X2)
              & sdtlbdtrb0(xs,aDimensionOf0(xs)) = X2
              & aScalar0(X2) )
          & sziznziztdt0(xt) = X1
          & ! [X14] :
              ( sdtlbdtrb0(X1,X14) = sdtlbdtrb0(xt,X14)
              | ~ aNaturalNumber0(X14) )
          & szszuzczcdt0(aDimensionOf0(X1)) = aDimensionOf0(xt)
          & aVector0(X1) )
      | ~ sP4(X0) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP4])]) ).

fof(f1019,plain,
    ( ! [X2,X0,X1] : ~ sP3(X0,X1,X2)
    | ~ spl21_49 ),
    inference(avatar_component_clause,[],[f1018]) ).

fof(f1103,plain,
    ( ~ spl21_1
    | ~ spl21_9
    | ~ spl21_31 ),
    inference(avatar_contradiction_clause,[],[f1102]) ).

fof(f1102,plain,
    ( $false
    | ~ spl21_1
    | ~ spl21_9
    | ~ spl21_31 ),
    inference(subsumption_resolution,[],[f1091,f1098]) ).

fof(f1098,plain,
    ( ~ sdtlseqdt0(sdtasdt0(sz0z00,sz0z00),sdtasdt0(sz0z00,sz0z00))
    | ~ spl21_1
    | ~ spl21_9 ),
    inference(forward_demodulation,[],[f1097,f818]) ).

fof(f818,plain,
    ( sz0z00 = sdtasasdt0(xs,xt)
    | ~ spl21_1 ),
    inference(subsumption_resolution,[],[f817,f148]) ).

fof(f148,plain,
    aVector0(xt),
    inference(cnf_transformation,[],[f38]) ).

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

fof(f817,plain,
    ( sz0z00 = sdtasasdt0(xs,xt)
    | ~ aVector0(xt)
    | ~ spl21_1 ),
    inference(subsumption_resolution,[],[f809,f250]) ).

fof(f250,plain,
    ( sz00 = aDimensionOf0(xs)
    | ~ spl21_1 ),
    inference(avatar_component_clause,[],[f248]) ).

fof(f248,plain,
    ( spl21_1
  <=> sz00 = aDimensionOf0(xs) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_1])]) ).

fof(f809,plain,
    ( sz00 != aDimensionOf0(xs)
    | sz0z00 = sdtasasdt0(xs,xt)
    | ~ aVector0(xt)
    | ~ spl21_1 ),
    inference(superposition,[],[f685,f150]) ).

fof(f150,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(f685,plain,
    ( ! [X0] :
        ( sz00 != aDimensionOf0(X0)
        | sz0z00 = sdtasasdt0(xs,X0)
        | ~ aVector0(X0) )
    | ~ spl21_1 ),
    inference(subsumption_resolution,[],[f683,f147]) ).

fof(f147,plain,
    aVector0(xs),
    inference(cnf_transformation,[],[f38]) ).

fof(f683,plain,
    ( ! [X0] :
        ( sz00 != aDimensionOf0(X0)
        | sz0z00 = sdtasasdt0(xs,X0)
        | ~ aVector0(X0)
        | ~ aVector0(xs) )
    | ~ spl21_1 ),
    inference(duplicate_literal_removal,[],[f673]) ).

fof(f673,plain,
    ( ! [X0] :
        ( sz00 != aDimensionOf0(X0)
        | sz00 != aDimensionOf0(X0)
        | sz0z00 = sdtasasdt0(xs,X0)
        | ~ aVector0(X0)
        | ~ aVector0(xs) )
    | ~ spl21_1 ),
    inference(superposition,[],[f195,f250]) ).

fof(f195,plain,
    ! [X0,X1] :
      ( aDimensionOf0(X0) != aDimensionOf0(X1)
      | sz00 != aDimensionOf0(X1)
      | sz0z00 = sdtasasdt0(X0,X1)
      | ~ aVector0(X1)
      | ~ aVector0(X0) ),
    inference(cnf_transformation,[],[f56]) ).

fof(f56,plain,
    ! [X0,X1] :
      ( sz0z00 = sdtasasdt0(X0,X1)
      | sz00 != aDimensionOf0(X1)
      | aDimensionOf0(X0) != aDimensionOf0(X1)
      | ~ aVector0(X1)
      | ~ aVector0(X0) ),
    inference(flattening,[],[f55]) ).

fof(f55,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(f1097,plain,
    ( ~ sdtlseqdt0(sdtasdt0(sdtasasdt0(xs,xt),sdtasasdt0(xs,xt)),sdtasdt0(sz0z00,sz0z00))
    | ~ spl21_1
    | ~ spl21_9 ),
    inference(forward_demodulation,[],[f1086,f819]) ).

fof(f819,plain,
    ( sz0z00 = sdtasasdt0(xs,xs)
    | ~ spl21_1 ),
    inference(subsumption_resolution,[],[f814,f147]) ).

fof(f814,plain,
    ( sz0z00 = sdtasasdt0(xs,xs)
    | ~ aVector0(xs)
    | ~ spl21_1 ),
    inference(trivial_inequality_removal,[],[f813]) ).

fof(f813,plain,
    ( sz00 != sz00
    | sz0z00 = sdtasasdt0(xs,xs)
    | ~ aVector0(xs)
    | ~ spl21_1 ),
    inference(superposition,[],[f685,f250]) ).

fof(f1086,plain,
    ( ~ sdtlseqdt0(sdtasdt0(sdtasasdt0(xs,xt),sdtasasdt0(xs,xt)),sdtasdt0(sdtasasdt0(xs,xs),sz0z00))
    | ~ spl21_9 ),
    inference(superposition,[],[f192,f989]) ).

fof(f989,plain,
    ( sz0z00 = sdtasasdt0(xt,xt)
    | ~ spl21_9 ),
    inference(subsumption_resolution,[],[f988,f148]) ).

fof(f988,plain,
    ( ~ aVector0(xt)
    | sz0z00 = sdtasasdt0(xt,xt)
    | ~ spl21_9 ),
    inference(trivial_inequality_removal,[],[f976]) ).

fof(f976,plain,
    ( aDimensionOf0(xs) != aDimensionOf0(xs)
    | ~ aVector0(xt)
    | sz0z00 = sdtasasdt0(xt,xt)
    | ~ spl21_9 ),
    inference(superposition,[],[f309,f150]) ).

fof(f309,plain,
    ( ! [X0] :
        ( aDimensionOf0(X0) != aDimensionOf0(xs)
        | ~ aVector0(X0)
        | sz0z00 = sdtasasdt0(X0,xt) )
    | ~ spl21_9 ),
    inference(avatar_component_clause,[],[f308]) ).

fof(f308,plain,
    ( spl21_9
  <=> ! [X0] :
        ( aDimensionOf0(X0) != aDimensionOf0(xs)
        | ~ aVector0(X0)
        | sz0z00 = sdtasasdt0(X0,xt) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_9])]) ).

fof(f192,plain,
    ~ sdtlseqdt0(sdtasdt0(sdtasasdt0(xs,xt),sdtasasdt0(xs,xt)),sdtasdt0(sdtasasdt0(xs,xs),sdtasasdt0(xt,xt))),
    inference(cnf_transformation,[],[f139]) ).

fof(f139,plain,
    ( ~ sdtlseqdt0(sdtasdt0(sdtasasdt0(xs,xt),sdtasasdt0(xs,xt)),sdtasdt0(sdtasasdt0(xs,xs),sdtasasdt0(xt,xt)))
    & ( ( sP4(sK18)
        & sziznziztdt0(xs) = sK18
        & ! [X1] :
            ( sdtlbdtrb0(xs,X1) = sdtlbdtrb0(sK18,X1)
            | ~ aNaturalNumber0(X1) )
        & aDimensionOf0(xs) = szszuzczcdt0(aDimensionOf0(sK18))
        & aVector0(sK18) )
      | sz00 = aDimensionOf0(xs) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK18])],[f137,f138]) ).

fof(f138,plain,
    ( ? [X0] :
        ( sP4(X0)
        & sziznziztdt0(xs) = X0
        & ! [X1] :
            ( sdtlbdtrb0(X0,X1) = sdtlbdtrb0(xs,X1)
            | ~ aNaturalNumber0(X1) )
        & aDimensionOf0(xs) = szszuzczcdt0(aDimensionOf0(X0))
        & aVector0(X0) )
   => ( sP4(sK18)
      & sziznziztdt0(xs) = sK18
      & ! [X1] :
          ( sdtlbdtrb0(xs,X1) = sdtlbdtrb0(sK18,X1)
          | ~ aNaturalNumber0(X1) )
      & aDimensionOf0(xs) = szszuzczcdt0(aDimensionOf0(sK18))
      & aVector0(sK18) ) ),
    introduced(choice_axiom,[]) ).

fof(f137,plain,
    ( ~ sdtlseqdt0(sdtasdt0(sdtasasdt0(xs,xt),sdtasasdt0(xs,xt)),sdtasdt0(sdtasasdt0(xs,xs),sdtasasdt0(xt,xt)))
    & ( ? [X0] :
          ( sP4(X0)
          & sziznziztdt0(xs) = X0
          & ! [X1] :
              ( sdtlbdtrb0(X0,X1) = sdtlbdtrb0(xs,X1)
              | ~ aNaturalNumber0(X1) )
          & aDimensionOf0(xs) = szszuzczcdt0(aDimensionOf0(X0))
          & aVector0(X0) )
      | sz00 = aDimensionOf0(xs) ) ),
    inference(rectify,[],[f109]) ).

fof(f109,plain,
    ( ~ sdtlseqdt0(sdtasdt0(sdtasasdt0(xs,xt),sdtasasdt0(xs,xt)),sdtasdt0(sdtasasdt0(xs,xs),sdtasasdt0(xt,xt)))
    & ( ? [X0] :
          ( sP4(X0)
          & sziznziztdt0(xs) = X0
          & ! [X15] :
              ( sdtlbdtrb0(X0,X15) = sdtlbdtrb0(xs,X15)
              | ~ aNaturalNumber0(X15) )
          & aDimensionOf0(xs) = szszuzczcdt0(aDimensionOf0(X0))
          & aVector0(X0) )
      | sz00 = aDimensionOf0(xs) ) ),
    inference(definition_folding,[],[f51,f108,f107,f106,f105,f104]) ).

fof(f104,plain,
    ! [X8,X5,X7,X4,X9,X6,X10,X11] :
      ( ? [X12] :
          ( ? [X13] :
              ( sdtlseqdt0(sdtasdt0(sdtasasdt0(xs,xt),sdtasasdt0(xs,xt)),sdtasdt0(sdtasasdt0(xs,xs),sdtasasdt0(xt,xt)))
              & sdtlseqdt0(sdtasdt0(sdtpldt0(X6,X9),sdtpldt0(X6,X9)),sdtasdt0(sdtpldt0(X4,X7),sdtpldt0(X5,X8)))
              & sdtlseqdt0(sdtpldt0(X11,X11),sdtpldt0(X10,X12))
              & sdtlseqdt0(sdtasdt0(X6,X6),sdtasdt0(X4,X5))
              & sdtasdt0(X10,X12) = X13
              & aScalar0(X13) )
          & sdtasdt0(X7,X5) = X12
          & aScalar0(X12) )
      | ~ sP0(X8,X5,X7,X4,X9,X6,X10,X11) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).

fof(f105,plain,
    ! [X6,X4,X7,X5,X8,X3,X2] :
      ( ? [X9] :
          ( ? [X10] :
              ( ? [X11] :
                  ( sP0(X8,X5,X7,X4,X9,X6,X10,X11)
                  & sdtasdt0(X6,X9) = X11
                  & aScalar0(X11) )
              & sdtasdt0(X4,X8) = X10
              & aScalar0(X10) )
          & sdtasdt0(X2,X3) = X9
          & aScalar0(X9) )
      | ~ sP1(X6,X4,X7,X5,X8,X3,X2) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).

fof(f106,plain,
    ! [X2,X3,X5,X4,X1,X0] :
      ( ? [X6] :
          ( ? [X7] :
              ( ? [X8] :
                  ( sP1(X6,X4,X7,X5,X8,X3,X2)
                  & sdtasdt0(X3,X3) = X8
                  & aScalar0(X8) )
              & sdtasdt0(X2,X2) = X7
              & aScalar0(X7) )
          & sdtasasdt0(X0,X1) = X6
          & aScalar0(X6) )
      | ~ sP2(X2,X3,X5,X4,X1,X0) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP2])]) ).

fof(f107,plain,
    ! [X0,X1,X2] :
      ( ? [X3] :
          ( ? [X4] :
              ( ? [X5] :
                  ( sP2(X2,X3,X5,X4,X1,X0)
                  & sdtasasdt0(X1,X1) = X5
                  & aScalar0(X5) )
              & sdtasasdt0(X0,X0) = X4
              & aScalar0(X4) )
          & sdtlbdtrb0(xt,aDimensionOf0(xt)) = X3
          & aScalar0(X3) )
      | ~ sP3(X0,X1,X2) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP3])]) ).

fof(f51,plain,
    ( ~ sdtlseqdt0(sdtasdt0(sdtasasdt0(xs,xt),sdtasasdt0(xs,xt)),sdtasdt0(sdtasasdt0(xs,xs),sdtasasdt0(xt,xt)))
    & ( ? [X0] :
          ( ? [X1] :
              ( ? [X2] :
                  ( ? [X3] :
                      ( ? [X4] :
                          ( ? [X5] :
                              ( ? [X6] :
                                  ( ? [X7] :
                                      ( ? [X8] :
                                          ( ? [X9] :
                                              ( ? [X10] :
                                                  ( ? [X11] :
                                                      ( ? [X12] :
                                                          ( ? [X13] :
                                                              ( sdtlseqdt0(sdtasdt0(sdtasasdt0(xs,xt),sdtasasdt0(xs,xt)),sdtasdt0(sdtasasdt0(xs,xs),sdtasasdt0(xt,xt)))
                                                              & sdtlseqdt0(sdtasdt0(sdtpldt0(X6,X9),sdtpldt0(X6,X9)),sdtasdt0(sdtpldt0(X4,X7),sdtpldt0(X5,X8)))
                                                              & sdtlseqdt0(sdtpldt0(X11,X11),sdtpldt0(X10,X12))
                                                              & sdtlseqdt0(sdtasdt0(X6,X6),sdtasdt0(X4,X5))
                                                              & sdtasdt0(X10,X12) = X13
                                                              & aScalar0(X13) )
                                                          & sdtasdt0(X7,X5) = X12
                                                          & aScalar0(X12) )
                                                      & sdtasdt0(X6,X9) = X11
                                                      & aScalar0(X11) )
                                                  & sdtasdt0(X4,X8) = X10
                                                  & aScalar0(X10) )
                                              & sdtasdt0(X2,X3) = X9
                                              & aScalar0(X9) )
                                          & sdtasdt0(X3,X3) = X8
                                          & aScalar0(X8) )
                                      & sdtasdt0(X2,X2) = X7
                                      & aScalar0(X7) )
                                  & sdtasasdt0(X0,X1) = X6
                                  & aScalar0(X6) )
                              & sdtasasdt0(X1,X1) = X5
                              & aScalar0(X5) )
                          & sdtasasdt0(X0,X0) = X4
                          & aScalar0(X4) )
                      & sdtlbdtrb0(xt,aDimensionOf0(xt)) = X3
                      & aScalar0(X3) )
                  & sdtlbdtrb0(xs,aDimensionOf0(xs)) = X2
                  & aScalar0(X2) )
              & sziznziztdt0(xt) = X1
              & ! [X14] :
                  ( sdtlbdtrb0(X1,X14) = sdtlbdtrb0(xt,X14)
                  | ~ aNaturalNumber0(X14) )
              & szszuzczcdt0(aDimensionOf0(X1)) = aDimensionOf0(xt)
              & aVector0(X1) )
          & sziznziztdt0(xs) = X0
          & ! [X15] :
              ( sdtlbdtrb0(X0,X15) = sdtlbdtrb0(xs,X15)
              | ~ aNaturalNumber0(X15) )
          & aDimensionOf0(xs) = szszuzczcdt0(aDimensionOf0(X0))
          & aVector0(X0) )
      | sz00 = aDimensionOf0(xs) ) ),
    inference(ennf_transformation,[],[f43]) ).

fof(f43,plain,
    ~ ( ( sz00 != aDimensionOf0(xs)
       => ? [X0] :
            ( ? [X1] :
                ( ? [X2] :
                    ( ? [X3] :
                        ( ? [X4] :
                            ( ? [X5] :
                                ( ? [X6] :
                                    ( ? [X7] :
                                        ( ? [X8] :
                                            ( ? [X9] :
                                                ( ? [X10] :
                                                    ( ? [X11] :
                                                        ( ? [X12] :
                                                            ( ? [X13] :
                                                                ( sdtlseqdt0(sdtasdt0(sdtasasdt0(xs,xt),sdtasasdt0(xs,xt)),sdtasdt0(sdtasasdt0(xs,xs),sdtasasdt0(xt,xt)))
                                                                & sdtlseqdt0(sdtasdt0(sdtpldt0(X6,X9),sdtpldt0(X6,X9)),sdtasdt0(sdtpldt0(X4,X7),sdtpldt0(X5,X8)))
                                                                & sdtlseqdt0(sdtpldt0(X11,X11),sdtpldt0(X10,X12))
                                                                & sdtlseqdt0(sdtasdt0(X6,X6),sdtasdt0(X4,X5))
                                                                & sdtasdt0(X10,X12) = X13
                                                                & aScalar0(X13) )
                                                            & sdtasdt0(X7,X5) = X12
                                                            & aScalar0(X12) )
                                                        & sdtasdt0(X6,X9) = X11
                                                        & aScalar0(X11) )
                                                    & sdtasdt0(X4,X8) = X10
                                                    & aScalar0(X10) )
                                                & sdtasdt0(X2,X3) = X9
                                                & aScalar0(X9) )
                                            & sdtasdt0(X3,X3) = X8
                                            & aScalar0(X8) )
                                        & sdtasdt0(X2,X2) = X7
                                        & aScalar0(X7) )
                                    & sdtasasdt0(X0,X1) = X6
                                    & aScalar0(X6) )
                                & sdtasasdt0(X1,X1) = X5
                                & aScalar0(X5) )
                            & sdtasasdt0(X0,X0) = X4
                            & aScalar0(X4) )
                        & sdtlbdtrb0(xt,aDimensionOf0(xt)) = X3
                        & aScalar0(X3) )
                    & sdtlbdtrb0(xs,aDimensionOf0(xs)) = X2
                    & aScalar0(X2) )
                & sziznziztdt0(xt) = X1
                & ! [X14] :
                    ( aNaturalNumber0(X14)
                   => sdtlbdtrb0(X1,X14) = sdtlbdtrb0(xt,X14) )
                & szszuzczcdt0(aDimensionOf0(X1)) = aDimensionOf0(xt)
                & aVector0(X1) )
            & sziznziztdt0(xs) = X0
            & ! [X15] :
                ( aNaturalNumber0(X15)
               => sdtlbdtrb0(X0,X15) = sdtlbdtrb0(xs,X15) )
            & aDimensionOf0(xs) = szszuzczcdt0(aDimensionOf0(X0))
            & aVector0(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] :
            ( ? [X1] :
                ( ? [X2] :
                    ( ? [X3] :
                        ( ? [X4] :
                            ( ? [X5] :
                                ( ? [X6] :
                                    ( ? [X7] :
                                        ( ? [X8] :
                                            ( ? [X9] :
                                                ( ? [X10] :
                                                    ( ? [X11] :
                                                        ( ? [X12] :
                                                            ( ? [X13] :
                                                                ( sdtlseqdt0(sdtasdt0(sdtasasdt0(xs,xt),sdtasasdt0(xs,xt)),sdtasdt0(sdtasasdt0(xs,xs),sdtasasdt0(xt,xt)))
                                                                & sdtlseqdt0(sdtasdt0(sdtpldt0(X6,X9),sdtpldt0(X6,X9)),sdtasdt0(sdtpldt0(X4,X7),sdtpldt0(X5,X8)))
                                                                & sdtlseqdt0(sdtpldt0(X11,X11),sdtpldt0(X10,X12))
                                                                & sdtlseqdt0(sdtasdt0(X6,X6),sdtasdt0(X4,X5))
                                                                & sdtasdt0(X10,X12) = X13
                                                                & aScalar0(X13) )
                                                            & sdtasdt0(X7,X5) = X12
                                                            & aScalar0(X12) )
                                                        & sdtasdt0(X6,X9) = X11
                                                        & aScalar0(X11) )
                                                    & sdtasdt0(X4,X8) = X10
                                                    & aScalar0(X10) )
                                                & sdtasdt0(X2,X3) = X9
                                                & aScalar0(X9) )
                                            & sdtasdt0(X3,X3) = X8
                                            & aScalar0(X8) )
                                        & sdtasdt0(X2,X2) = X7
                                        & aScalar0(X7) )
                                    & sdtasasdt0(X0,X1) = X6
                                    & aScalar0(X6) )
                                & sdtasasdt0(X1,X1) = X5
                                & aScalar0(X5) )
                            & sdtasasdt0(X0,X0) = X4
                            & aScalar0(X4) )
                        & sdtlbdtrb0(xt,aDimensionOf0(xt)) = X3
                        & aScalar0(X3) )
                    & sdtlbdtrb0(xs,aDimensionOf0(xs)) = X2
                    & aScalar0(X2) )
                & sziznziztdt0(xt) = X1
                & ! [X2] :
                    ( aNaturalNumber0(X2)
                   => sdtlbdtrb0(X1,X2) = sdtlbdtrb0(xt,X2) )
                & szszuzczcdt0(aDimensionOf0(X1)) = aDimensionOf0(xt)
                & aVector0(X1) )
            & sziznziztdt0(xs) = X0
            & ! [X1] :
                ( aNaturalNumber0(X1)
               => sdtlbdtrb0(X0,X1) = sdtlbdtrb0(xs,X1) )
            & aDimensionOf0(xs) = szszuzczcdt0(aDimensionOf0(X0))
            & aVector0(X0) ) )
     => 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] :
          ( ? [X1] :
              ( ? [X2] :
                  ( ? [X3] :
                      ( ? [X4] :
                          ( ? [X5] :
                              ( ? [X6] :
                                  ( ? [X7] :
                                      ( ? [X8] :
                                          ( ? [X9] :
                                              ( ? [X10] :
                                                  ( ? [X11] :
                                                      ( ? [X12] :
                                                          ( ? [X13] :
                                                              ( sdtlseqdt0(sdtasdt0(sdtasasdt0(xs,xt),sdtasasdt0(xs,xt)),sdtasdt0(sdtasasdt0(xs,xs),sdtasasdt0(xt,xt)))
                                                              & sdtlseqdt0(sdtasdt0(sdtpldt0(X6,X9),sdtpldt0(X6,X9)),sdtasdt0(sdtpldt0(X4,X7),sdtpldt0(X5,X8)))
                                                              & sdtlseqdt0(sdtpldt0(X11,X11),sdtpldt0(X10,X12))
                                                              & sdtlseqdt0(sdtasdt0(X6,X6),sdtasdt0(X4,X5))
                                                              & sdtasdt0(X10,X12) = X13
                                                              & aScalar0(X13) )
                                                          & sdtasdt0(X7,X5) = X12
                                                          & aScalar0(X12) )
                                                      & sdtasdt0(X6,X9) = X11
                                                      & aScalar0(X11) )
                                                  & sdtasdt0(X4,X8) = X10
                                                  & aScalar0(X10) )
                                              & sdtasdt0(X2,X3) = X9
                                              & aScalar0(X9) )
                                          & sdtasdt0(X3,X3) = X8
                                          & aScalar0(X8) )
                                      & sdtasdt0(X2,X2) = X7
                                      & aScalar0(X7) )
                                  & sdtasasdt0(X0,X1) = X6
                                  & aScalar0(X6) )
                              & sdtasasdt0(X1,X1) = X5
                              & aScalar0(X5) )
                          & sdtasasdt0(X0,X0) = X4
                          & aScalar0(X4) )
                      & sdtlbdtrb0(xt,aDimensionOf0(xt)) = X3
                      & aScalar0(X3) )
                  & sdtlbdtrb0(xs,aDimensionOf0(xs)) = X2
                  & aScalar0(X2) )
              & sziznziztdt0(xt) = X1
              & ! [X2] :
                  ( aNaturalNumber0(X2)
                 => sdtlbdtrb0(X1,X2) = sdtlbdtrb0(xt,X2) )
              & szszuzczcdt0(aDimensionOf0(X1)) = aDimensionOf0(xt)
              & aVector0(X1) )
          & sziznziztdt0(xs) = X0
          & ! [X1] :
              ( aNaturalNumber0(X1)
             => sdtlbdtrb0(X0,X1) = sdtlbdtrb0(xs,X1) )
          & aDimensionOf0(xs) = szszuzczcdt0(aDimensionOf0(X0))
          & aVector0(X0) ) )
   => sdtlseqdt0(sdtasdt0(sdtasasdt0(xs,xt),sdtasasdt0(xs,xt)),sdtasdt0(sdtasasdt0(xs,xs),sdtasasdt0(xt,xt))) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).

fof(f1091,plain,
    ( sdtlseqdt0(sdtasdt0(sz0z00,sz0z00),sdtasdt0(sz0z00,sz0z00))
    | ~ spl21_1
    | ~ spl21_9
    | ~ spl21_31 ),
    inference(superposition,[],[f902,f989]) ).

fof(f902,plain,
    ( sdtlseqdt0(sdtasdt0(sz0z00,sdtasasdt0(xt,xt)),sdtasdt0(sz0z00,sz0z00))
    | ~ spl21_1
    | ~ spl21_31 ),
    inference(forward_demodulation,[],[f901,f819]) ).

fof(f901,plain,
    ( sdtlseqdt0(sdtasdt0(sdtasasdt0(xs,xs),sdtasasdt0(xt,xt)),sdtasdt0(sz0z00,sz0z00))
    | ~ spl21_1
    | ~ spl21_31 ),
    inference(forward_demodulation,[],[f528,f818]) ).

fof(f528,plain,
    ( sdtlseqdt0(sdtasdt0(sdtasasdt0(xs,xs),sdtasasdt0(xt,xt)),sdtasdt0(sdtasasdt0(xs,xt),sdtasasdt0(xs,xt)))
    | ~ spl21_31 ),
    inference(avatar_component_clause,[],[f526]) ).

fof(f526,plain,
    ( spl21_31
  <=> sdtlseqdt0(sdtasdt0(sdtasasdt0(xs,xs),sdtasasdt0(xt,xt)),sdtasdt0(sdtasasdt0(xs,xt),sdtasasdt0(xs,xt))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_31])]) ).

fof(f1028,plain,
    spl21_49,
    inference(avatar_split_clause,[],[f1027,f1018]) ).

fof(f1027,plain,
    ! [X2,X0,X1] : ~ sP3(X0,X1,X2),
    inference(subsumption_resolution,[],[f1010,f760]) ).

fof(f760,plain,
    ! [X2,X3,X0,X1,X4,X5] : ~ sP2(X0,X1,X2,X3,X4,X5),
    inference(resolution,[],[f724,f171]) ).

fof(f171,plain,
    ! [X2,X3,X0,X1,X4,X5] :
      ( sP1(sK10(X0,X1,X2,X3,X4,X5),X3,sK11(X0,X1,X2,X3,X4,X5),X2,sK12(X0,X1,X2,X3,X4,X5),X1,X0)
      | ~ sP2(X0,X1,X2,X3,X4,X5) ),
    inference(cnf_transformation,[],[f125]) ).

fof(f125,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ( sP1(sK10(X0,X1,X2,X3,X4,X5),X3,sK11(X0,X1,X2,X3,X4,X5),X2,sK12(X0,X1,X2,X3,X4,X5),X1,X0)
        & sdtasdt0(X1,X1) = sK12(X0,X1,X2,X3,X4,X5)
        & aScalar0(sK12(X0,X1,X2,X3,X4,X5))
        & sdtasdt0(X0,X0) = sK11(X0,X1,X2,X3,X4,X5)
        & aScalar0(sK11(X0,X1,X2,X3,X4,X5))
        & sdtasasdt0(X5,X4) = sK10(X0,X1,X2,X3,X4,X5)
        & aScalar0(sK10(X0,X1,X2,X3,X4,X5)) )
      | ~ sP2(X0,X1,X2,X3,X4,X5) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK10,sK11,sK12])],[f121,f124,f123,f122]) ).

fof(f122,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ? [X6] :
          ( ? [X7] :
              ( ? [X8] :
                  ( sP1(X6,X3,X7,X2,X8,X1,X0)
                  & sdtasdt0(X1,X1) = X8
                  & aScalar0(X8) )
              & sdtasdt0(X0,X0) = X7
              & aScalar0(X7) )
          & sdtasasdt0(X5,X4) = X6
          & aScalar0(X6) )
     => ( ? [X7] :
            ( ? [X8] :
                ( sP1(sK10(X0,X1,X2,X3,X4,X5),X3,X7,X2,X8,X1,X0)
                & sdtasdt0(X1,X1) = X8
                & aScalar0(X8) )
            & sdtasdt0(X0,X0) = X7
            & aScalar0(X7) )
        & sdtasasdt0(X5,X4) = sK10(X0,X1,X2,X3,X4,X5)
        & aScalar0(sK10(X0,X1,X2,X3,X4,X5)) ) ),
    introduced(choice_axiom,[]) ).

fof(f123,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ? [X7] :
          ( ? [X8] :
              ( sP1(sK10(X0,X1,X2,X3,X4,X5),X3,X7,X2,X8,X1,X0)
              & sdtasdt0(X1,X1) = X8
              & aScalar0(X8) )
          & sdtasdt0(X0,X0) = X7
          & aScalar0(X7) )
     => ( ? [X8] :
            ( sP1(sK10(X0,X1,X2,X3,X4,X5),X3,sK11(X0,X1,X2,X3,X4,X5),X2,X8,X1,X0)
            & sdtasdt0(X1,X1) = X8
            & aScalar0(X8) )
        & sdtasdt0(X0,X0) = sK11(X0,X1,X2,X3,X4,X5)
        & aScalar0(sK11(X0,X1,X2,X3,X4,X5)) ) ),
    introduced(choice_axiom,[]) ).

fof(f124,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ? [X8] :
          ( sP1(sK10(X0,X1,X2,X3,X4,X5),X3,sK11(X0,X1,X2,X3,X4,X5),X2,X8,X1,X0)
          & sdtasdt0(X1,X1) = X8
          & aScalar0(X8) )
     => ( sP1(sK10(X0,X1,X2,X3,X4,X5),X3,sK11(X0,X1,X2,X3,X4,X5),X2,sK12(X0,X1,X2,X3,X4,X5),X1,X0)
        & sdtasdt0(X1,X1) = sK12(X0,X1,X2,X3,X4,X5)
        & aScalar0(sK12(X0,X1,X2,X3,X4,X5)) ) ),
    introduced(choice_axiom,[]) ).

fof(f121,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ? [X6] :
          ( ? [X7] :
              ( ? [X8] :
                  ( sP1(X6,X3,X7,X2,X8,X1,X0)
                  & sdtasdt0(X1,X1) = X8
                  & aScalar0(X8) )
              & sdtasdt0(X0,X0) = X7
              & aScalar0(X7) )
          & sdtasasdt0(X5,X4) = X6
          & aScalar0(X6) )
      | ~ sP2(X0,X1,X2,X3,X4,X5) ),
    inference(rectify,[],[f120]) ).

fof(f120,plain,
    ! [X2,X3,X5,X4,X1,X0] :
      ( ? [X6] :
          ( ? [X7] :
              ( ? [X8] :
                  ( sP1(X6,X4,X7,X5,X8,X3,X2)
                  & sdtasdt0(X3,X3) = X8
                  & aScalar0(X8) )
              & sdtasdt0(X2,X2) = X7
              & aScalar0(X7) )
          & sdtasasdt0(X0,X1) = X6
          & aScalar0(X6) )
      | ~ sP2(X2,X3,X5,X4,X1,X0) ),
    inference(nnf_transformation,[],[f106]) ).

fof(f724,plain,
    ! [X2,X3,X0,X1,X6,X4,X5] : ~ sP1(X0,X1,X2,X3,X4,X5,X6),
    inference(resolution,[],[f468,f178]) ).

fof(f178,plain,
    ! [X2,X3,X0,X1,X6,X4,X5] :
      ( sP0(X4,X3,X2,X1,sK13(X0,X1,X2,X3,X4,X5,X6),X0,sK14(X0,X1,X2,X3,X4,X5,X6),sK15(X0,X1,X2,X3,X4,X5,X6))
      | ~ sP1(X0,X1,X2,X3,X4,X5,X6) ),
    inference(cnf_transformation,[],[f131]) ).

fof(f131,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( ( sP0(X4,X3,X2,X1,sK13(X0,X1,X2,X3,X4,X5,X6),X0,sK14(X0,X1,X2,X3,X4,X5,X6),sK15(X0,X1,X2,X3,X4,X5,X6))
        & sdtasdt0(X0,sK13(X0,X1,X2,X3,X4,X5,X6)) = sK15(X0,X1,X2,X3,X4,X5,X6)
        & aScalar0(sK15(X0,X1,X2,X3,X4,X5,X6))
        & sdtasdt0(X1,X4) = sK14(X0,X1,X2,X3,X4,X5,X6)
        & aScalar0(sK14(X0,X1,X2,X3,X4,X5,X6))
        & sdtasdt0(X6,X5) = sK13(X0,X1,X2,X3,X4,X5,X6)
        & aScalar0(sK13(X0,X1,X2,X3,X4,X5,X6)) )
      | ~ sP1(X0,X1,X2,X3,X4,X5,X6) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK13,sK14,sK15])],[f127,f130,f129,f128]) ).

fof(f128,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( ? [X7] :
          ( ? [X8] :
              ( ? [X9] :
                  ( sP0(X4,X3,X2,X1,X7,X0,X8,X9)
                  & sdtasdt0(X0,X7) = X9
                  & aScalar0(X9) )
              & sdtasdt0(X1,X4) = X8
              & aScalar0(X8) )
          & sdtasdt0(X6,X5) = X7
          & aScalar0(X7) )
     => ( ? [X8] :
            ( ? [X9] :
                ( sP0(X4,X3,X2,X1,sK13(X0,X1,X2,X3,X4,X5,X6),X0,X8,X9)
                & sdtasdt0(X0,sK13(X0,X1,X2,X3,X4,X5,X6)) = X9
                & aScalar0(X9) )
            & sdtasdt0(X1,X4) = X8
            & aScalar0(X8) )
        & sdtasdt0(X6,X5) = sK13(X0,X1,X2,X3,X4,X5,X6)
        & aScalar0(sK13(X0,X1,X2,X3,X4,X5,X6)) ) ),
    introduced(choice_axiom,[]) ).

fof(f129,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( ? [X8] :
          ( ? [X9] :
              ( sP0(X4,X3,X2,X1,sK13(X0,X1,X2,X3,X4,X5,X6),X0,X8,X9)
              & sdtasdt0(X0,sK13(X0,X1,X2,X3,X4,X5,X6)) = X9
              & aScalar0(X9) )
          & sdtasdt0(X1,X4) = X8
          & aScalar0(X8) )
     => ( ? [X9] :
            ( sP0(X4,X3,X2,X1,sK13(X0,X1,X2,X3,X4,X5,X6),X0,sK14(X0,X1,X2,X3,X4,X5,X6),X9)
            & sdtasdt0(X0,sK13(X0,X1,X2,X3,X4,X5,X6)) = X9
            & aScalar0(X9) )
        & sdtasdt0(X1,X4) = sK14(X0,X1,X2,X3,X4,X5,X6)
        & aScalar0(sK14(X0,X1,X2,X3,X4,X5,X6)) ) ),
    introduced(choice_axiom,[]) ).

fof(f130,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( ? [X9] :
          ( sP0(X4,X3,X2,X1,sK13(X0,X1,X2,X3,X4,X5,X6),X0,sK14(X0,X1,X2,X3,X4,X5,X6),X9)
          & sdtasdt0(X0,sK13(X0,X1,X2,X3,X4,X5,X6)) = X9
          & aScalar0(X9) )
     => ( sP0(X4,X3,X2,X1,sK13(X0,X1,X2,X3,X4,X5,X6),X0,sK14(X0,X1,X2,X3,X4,X5,X6),sK15(X0,X1,X2,X3,X4,X5,X6))
        & sdtasdt0(X0,sK13(X0,X1,X2,X3,X4,X5,X6)) = sK15(X0,X1,X2,X3,X4,X5,X6)
        & aScalar0(sK15(X0,X1,X2,X3,X4,X5,X6)) ) ),
    introduced(choice_axiom,[]) ).

fof(f127,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( ? [X7] :
          ( ? [X8] :
              ( ? [X9] :
                  ( sP0(X4,X3,X2,X1,X7,X0,X8,X9)
                  & sdtasdt0(X0,X7) = X9
                  & aScalar0(X9) )
              & sdtasdt0(X1,X4) = X8
              & aScalar0(X8) )
          & sdtasdt0(X6,X5) = X7
          & aScalar0(X7) )
      | ~ sP1(X0,X1,X2,X3,X4,X5,X6) ),
    inference(rectify,[],[f126]) ).

fof(f126,plain,
    ! [X6,X4,X7,X5,X8,X3,X2] :
      ( ? [X9] :
          ( ? [X10] :
              ( ? [X11] :
                  ( sP0(X8,X5,X7,X4,X9,X6,X10,X11)
                  & sdtasdt0(X6,X9) = X11
                  & aScalar0(X11) )
              & sdtasdt0(X4,X8) = X10
              & aScalar0(X10) )
          & sdtasdt0(X2,X3) = X9
          & aScalar0(X9) )
      | ~ sP1(X6,X4,X7,X5,X8,X3,X2) ),
    inference(nnf_transformation,[],[f105]) ).

fof(f468,plain,
    ! [X2,X3,X0,X1,X6,X7,X4,X5] : ~ sP0(X0,X1,X2,X3,X4,X5,X6,X7),
    inference(resolution,[],[f192,f186]) ).

fof(f186,plain,
    ! [X2,X3,X0,X1,X6,X7,X4,X5] :
      ( sdtlseqdt0(sdtasdt0(sdtasasdt0(xs,xt),sdtasasdt0(xs,xt)),sdtasdt0(sdtasasdt0(xs,xs),sdtasasdt0(xt,xt)))
      | ~ sP0(X0,X1,X2,X3,X4,X5,X6,X7) ),
    inference(cnf_transformation,[],[f136]) ).

fof(f136,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( ( sdtlseqdt0(sdtasdt0(sdtasasdt0(xs,xt),sdtasasdt0(xs,xt)),sdtasdt0(sdtasasdt0(xs,xs),sdtasasdt0(xt,xt)))
        & sdtlseqdt0(sdtasdt0(sdtpldt0(X5,X4),sdtpldt0(X5,X4)),sdtasdt0(sdtpldt0(X3,X2),sdtpldt0(X1,X0)))
        & sdtlseqdt0(sdtpldt0(X7,X7),sdtpldt0(X6,sK16(X0,X1,X2,X3,X4,X5,X6,X7)))
        & sdtlseqdt0(sdtasdt0(X5,X5),sdtasdt0(X3,X1))
        & sdtasdt0(X6,sK16(X0,X1,X2,X3,X4,X5,X6,X7)) = sK17(X0,X1,X2,X3,X4,X5,X6,X7)
        & aScalar0(sK17(X0,X1,X2,X3,X4,X5,X6,X7))
        & sdtasdt0(X2,X1) = sK16(X0,X1,X2,X3,X4,X5,X6,X7)
        & aScalar0(sK16(X0,X1,X2,X3,X4,X5,X6,X7)) )
      | ~ sP0(X0,X1,X2,X3,X4,X5,X6,X7) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK16,sK17])],[f133,f135,f134]) ).

fof(f134,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( ? [X8] :
          ( ? [X9] :
              ( sdtlseqdt0(sdtasdt0(sdtasasdt0(xs,xt),sdtasasdt0(xs,xt)),sdtasdt0(sdtasasdt0(xs,xs),sdtasasdt0(xt,xt)))
              & sdtlseqdt0(sdtasdt0(sdtpldt0(X5,X4),sdtpldt0(X5,X4)),sdtasdt0(sdtpldt0(X3,X2),sdtpldt0(X1,X0)))
              & sdtlseqdt0(sdtpldt0(X7,X7),sdtpldt0(X6,X8))
              & sdtlseqdt0(sdtasdt0(X5,X5),sdtasdt0(X3,X1))
              & sdtasdt0(X6,X8) = X9
              & aScalar0(X9) )
          & sdtasdt0(X2,X1) = X8
          & aScalar0(X8) )
     => ( ? [X9] :
            ( sdtlseqdt0(sdtasdt0(sdtasasdt0(xs,xt),sdtasasdt0(xs,xt)),sdtasdt0(sdtasasdt0(xs,xs),sdtasasdt0(xt,xt)))
            & sdtlseqdt0(sdtasdt0(sdtpldt0(X5,X4),sdtpldt0(X5,X4)),sdtasdt0(sdtpldt0(X3,X2),sdtpldt0(X1,X0)))
            & sdtlseqdt0(sdtpldt0(X7,X7),sdtpldt0(X6,sK16(X0,X1,X2,X3,X4,X5,X6,X7)))
            & sdtlseqdt0(sdtasdt0(X5,X5),sdtasdt0(X3,X1))
            & sdtasdt0(X6,sK16(X0,X1,X2,X3,X4,X5,X6,X7)) = X9
            & aScalar0(X9) )
        & sdtasdt0(X2,X1) = sK16(X0,X1,X2,X3,X4,X5,X6,X7)
        & aScalar0(sK16(X0,X1,X2,X3,X4,X5,X6,X7)) ) ),
    introduced(choice_axiom,[]) ).

fof(f135,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( ? [X9] :
          ( sdtlseqdt0(sdtasdt0(sdtasasdt0(xs,xt),sdtasasdt0(xs,xt)),sdtasdt0(sdtasasdt0(xs,xs),sdtasasdt0(xt,xt)))
          & sdtlseqdt0(sdtasdt0(sdtpldt0(X5,X4),sdtpldt0(X5,X4)),sdtasdt0(sdtpldt0(X3,X2),sdtpldt0(X1,X0)))
          & sdtlseqdt0(sdtpldt0(X7,X7),sdtpldt0(X6,sK16(X0,X1,X2,X3,X4,X5,X6,X7)))
          & sdtlseqdt0(sdtasdt0(X5,X5),sdtasdt0(X3,X1))
          & sdtasdt0(X6,sK16(X0,X1,X2,X3,X4,X5,X6,X7)) = X9
          & aScalar0(X9) )
     => ( sdtlseqdt0(sdtasdt0(sdtasasdt0(xs,xt),sdtasasdt0(xs,xt)),sdtasdt0(sdtasasdt0(xs,xs),sdtasasdt0(xt,xt)))
        & sdtlseqdt0(sdtasdt0(sdtpldt0(X5,X4),sdtpldt0(X5,X4)),sdtasdt0(sdtpldt0(X3,X2),sdtpldt0(X1,X0)))
        & sdtlseqdt0(sdtpldt0(X7,X7),sdtpldt0(X6,sK16(X0,X1,X2,X3,X4,X5,X6,X7)))
        & sdtlseqdt0(sdtasdt0(X5,X5),sdtasdt0(X3,X1))
        & sdtasdt0(X6,sK16(X0,X1,X2,X3,X4,X5,X6,X7)) = sK17(X0,X1,X2,X3,X4,X5,X6,X7)
        & aScalar0(sK17(X0,X1,X2,X3,X4,X5,X6,X7)) ) ),
    introduced(choice_axiom,[]) ).

fof(f133,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( ? [X8] :
          ( ? [X9] :
              ( sdtlseqdt0(sdtasdt0(sdtasasdt0(xs,xt),sdtasasdt0(xs,xt)),sdtasdt0(sdtasasdt0(xs,xs),sdtasasdt0(xt,xt)))
              & sdtlseqdt0(sdtasdt0(sdtpldt0(X5,X4),sdtpldt0(X5,X4)),sdtasdt0(sdtpldt0(X3,X2),sdtpldt0(X1,X0)))
              & sdtlseqdt0(sdtpldt0(X7,X7),sdtpldt0(X6,X8))
              & sdtlseqdt0(sdtasdt0(X5,X5),sdtasdt0(X3,X1))
              & sdtasdt0(X6,X8) = X9
              & aScalar0(X9) )
          & sdtasdt0(X2,X1) = X8
          & aScalar0(X8) )
      | ~ sP0(X0,X1,X2,X3,X4,X5,X6,X7) ),
    inference(rectify,[],[f132]) ).

fof(f132,plain,
    ! [X8,X5,X7,X4,X9,X6,X10,X11] :
      ( ? [X12] :
          ( ? [X13] :
              ( sdtlseqdt0(sdtasdt0(sdtasasdt0(xs,xt),sdtasasdt0(xs,xt)),sdtasdt0(sdtasasdt0(xs,xs),sdtasasdt0(xt,xt)))
              & sdtlseqdt0(sdtasdt0(sdtpldt0(X6,X9),sdtpldt0(X6,X9)),sdtasdt0(sdtpldt0(X4,X7),sdtpldt0(X5,X8)))
              & sdtlseqdt0(sdtpldt0(X11,X11),sdtpldt0(X10,X12))
              & sdtlseqdt0(sdtasdt0(X6,X6),sdtasdt0(X4,X5))
              & sdtasdt0(X10,X12) = X13
              & aScalar0(X13) )
          & sdtasdt0(X7,X5) = X12
          & aScalar0(X12) )
      | ~ sP0(X8,X5,X7,X4,X9,X6,X10,X11) ),
    inference(nnf_transformation,[],[f104]) ).

fof(f1010,plain,
    ! [X2,X0,X1] :
      ( sP2(X2,sdtlbdtrb0(xt,aDimensionOf0(xs)),sK9(X0,X1,X2),sK8(X0,X1,X2),X1,X0)
      | ~ sP3(X0,X1,X2) ),
    inference(duplicate_literal_removal,[],[f1007]) ).

fof(f1007,plain,
    ! [X2,X0,X1] :
      ( sP2(X2,sdtlbdtrb0(xt,aDimensionOf0(xs)),sK9(X0,X1,X2),sK8(X0,X1,X2),X1,X0)
      | ~ sP3(X0,X1,X2)
      | ~ sP3(X0,X1,X2) ),
    inference(superposition,[],[f164,f279]) ).

fof(f279,plain,
    ! [X2,X0,X1] :
      ( sK7(X0,X1,X2) = sdtlbdtrb0(xt,aDimensionOf0(xs))
      | ~ sP3(X0,X1,X2) ),
    inference(superposition,[],[f159,f150]) ).

fof(f159,plain,
    ! [X2,X0,X1] :
      ( sdtlbdtrb0(xt,aDimensionOf0(xt)) = sK7(X0,X1,X2)
      | ~ sP3(X0,X1,X2) ),
    inference(cnf_transformation,[],[f119]) ).

fof(f119,plain,
    ! [X0,X1,X2] :
      ( ( sP2(X2,sK7(X0,X1,X2),sK9(X0,X1,X2),sK8(X0,X1,X2),X1,X0)
        & sdtasasdt0(X1,X1) = sK9(X0,X1,X2)
        & aScalar0(sK9(X0,X1,X2))
        & sdtasasdt0(X0,X0) = sK8(X0,X1,X2)
        & aScalar0(sK8(X0,X1,X2))
        & sdtlbdtrb0(xt,aDimensionOf0(xt)) = sK7(X0,X1,X2)
        & aScalar0(sK7(X0,X1,X2)) )
      | ~ sP3(X0,X1,X2) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK7,sK8,sK9])],[f115,f118,f117,f116]) ).

fof(f116,plain,
    ! [X0,X1,X2] :
      ( ? [X3] :
          ( ? [X4] :
              ( ? [X5] :
                  ( sP2(X2,X3,X5,X4,X1,X0)
                  & sdtasasdt0(X1,X1) = X5
                  & aScalar0(X5) )
              & sdtasasdt0(X0,X0) = X4
              & aScalar0(X4) )
          & sdtlbdtrb0(xt,aDimensionOf0(xt)) = X3
          & aScalar0(X3) )
     => ( ? [X4] :
            ( ? [X5] :
                ( sP2(X2,sK7(X0,X1,X2),X5,X4,X1,X0)
                & sdtasasdt0(X1,X1) = X5
                & aScalar0(X5) )
            & sdtasasdt0(X0,X0) = X4
            & aScalar0(X4) )
        & sdtlbdtrb0(xt,aDimensionOf0(xt)) = sK7(X0,X1,X2)
        & aScalar0(sK7(X0,X1,X2)) ) ),
    introduced(choice_axiom,[]) ).

fof(f117,plain,
    ! [X0,X1,X2] :
      ( ? [X4] :
          ( ? [X5] :
              ( sP2(X2,sK7(X0,X1,X2),X5,X4,X1,X0)
              & sdtasasdt0(X1,X1) = X5
              & aScalar0(X5) )
          & sdtasasdt0(X0,X0) = X4
          & aScalar0(X4) )
     => ( ? [X5] :
            ( sP2(X2,sK7(X0,X1,X2),X5,sK8(X0,X1,X2),X1,X0)
            & sdtasasdt0(X1,X1) = X5
            & aScalar0(X5) )
        & sdtasasdt0(X0,X0) = sK8(X0,X1,X2)
        & aScalar0(sK8(X0,X1,X2)) ) ),
    introduced(choice_axiom,[]) ).

fof(f118,plain,
    ! [X0,X1,X2] :
      ( ? [X5] :
          ( sP2(X2,sK7(X0,X1,X2),X5,sK8(X0,X1,X2),X1,X0)
          & sdtasasdt0(X1,X1) = X5
          & aScalar0(X5) )
     => ( sP2(X2,sK7(X0,X1,X2),sK9(X0,X1,X2),sK8(X0,X1,X2),X1,X0)
        & sdtasasdt0(X1,X1) = sK9(X0,X1,X2)
        & aScalar0(sK9(X0,X1,X2)) ) ),
    introduced(choice_axiom,[]) ).

fof(f115,plain,
    ! [X0,X1,X2] :
      ( ? [X3] :
          ( ? [X4] :
              ( ? [X5] :
                  ( sP2(X2,X3,X5,X4,X1,X0)
                  & sdtasasdt0(X1,X1) = X5
                  & aScalar0(X5) )
              & sdtasasdt0(X0,X0) = X4
              & aScalar0(X4) )
          & sdtlbdtrb0(xt,aDimensionOf0(xt)) = X3
          & aScalar0(X3) )
      | ~ sP3(X0,X1,X2) ),
    inference(nnf_transformation,[],[f107]) ).

fof(f164,plain,
    ! [X2,X0,X1] :
      ( sP2(X2,sK7(X0,X1,X2),sK9(X0,X1,X2),sK8(X0,X1,X2),X1,X0)
      | ~ sP3(X0,X1,X2) ),
    inference(cnf_transformation,[],[f119]) ).

fof(f900,plain,
    ( ~ spl21_1
    | spl21_28 ),
    inference(avatar_contradiction_clause,[],[f899]) ).

fof(f899,plain,
    ( $false
    | ~ spl21_1
    | spl21_28 ),
    inference(subsumption_resolution,[],[f891,f242]) ).

fof(f242,plain,
    aScalar0(sz0z00),
    inference(cnf_transformation,[],[f9]) ).

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

fof(f891,plain,
    ( ~ aScalar0(sz0z00)
    | ~ spl21_1
    | spl21_28 ),
    inference(duplicate_literal_removal,[],[f885]) ).

fof(f885,plain,
    ( ~ aScalar0(sz0z00)
    | ~ aScalar0(sz0z00)
    | ~ spl21_1
    | spl21_28 ),
    inference(superposition,[],[f876,f228]) ).

fof(f228,plain,
    ! [X0] :
      ( sz0z00 = sdtasdt0(X0,sz0z00)
      | ~ aScalar0(X0) ),
    inference(cnf_transformation,[],[f93]) ).

fof(f93,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(f876,plain,
    ( ~ aScalar0(sdtasdt0(sz0z00,sz0z00))
    | ~ spl21_1
    | spl21_28 ),
    inference(forward_demodulation,[],[f516,f818]) ).

fof(f516,plain,
    ( ~ aScalar0(sdtasdt0(sdtasasdt0(xs,xt),sdtasasdt0(xs,xt)))
    | spl21_28 ),
    inference(avatar_component_clause,[],[f514]) ).

fof(f514,plain,
    ( spl21_28
  <=> aScalar0(sdtasdt0(sdtasasdt0(xs,xt),sdtasasdt0(xs,xt))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_28])]) ).

fof(f859,plain,
    spl21_24,
    inference(avatar_split_clause,[],[f858,f497]) ).

fof(f497,plain,
    ( spl21_24
  <=> aScalar0(sdtasasdt0(xt,xt)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_24])]) ).

fof(f858,plain,
    aScalar0(sdtasasdt0(xt,xt)),
    inference(subsumption_resolution,[],[f852,f148]) ).

fof(f852,plain,
    ( aScalar0(sdtasasdt0(xt,xt))
    | ~ aVector0(xt) ),
    inference(trivial_inequality_removal,[],[f840]) ).

fof(f840,plain,
    ( aDimensionOf0(xs) != aDimensionOf0(xs)
    | aScalar0(sdtasasdt0(xt,xt))
    | ~ aVector0(xt) ),
    inference(superposition,[],[f311,f150]) ).

fof(f311,plain,
    ! [X0] :
      ( aDimensionOf0(X0) != aDimensionOf0(xs)
      | aScalar0(sdtasasdt0(xt,X0))
      | ~ aVector0(X0) ),
    inference(subsumption_resolution,[],[f285,f148]) ).

fof(f285,plain,
    ! [X0] :
      ( aDimensionOf0(X0) != aDimensionOf0(xs)
      | aScalar0(sdtasasdt0(xt,X0))
      | ~ aVector0(X0)
      | ~ aVector0(xt) ),
    inference(superposition,[],[f196,f150]) ).

fof(f196,plain,
    ! [X0,X1] :
      ( aDimensionOf0(X0) != aDimensionOf0(X1)
      | aScalar0(sdtasasdt0(X0,X1))
      | ~ aVector0(X1)
      | ~ aVector0(X0) ),
    inference(cnf_transformation,[],[f58]) ).

fof(f58,plain,
    ! [X0,X1] :
      ( aScalar0(sdtasasdt0(X0,X1))
      | aDimensionOf0(X0) != aDimensionOf0(X1)
      | ~ aVector0(X1)
      | ~ aVector0(X0) ),
    inference(flattening,[],[f57]) ).

fof(f57,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(f780,plain,
    ( ~ spl21_22
    | ~ spl21_24
    | spl21_29 ),
    inference(avatar_split_clause,[],[f712,f518,f497,f489]) ).

fof(f489,plain,
    ( spl21_22
  <=> aScalar0(sdtasasdt0(xs,xs)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_22])]) ).

fof(f518,plain,
    ( spl21_29
  <=> aScalar0(sdtasdt0(sdtasasdt0(xs,xs),sdtasasdt0(xt,xt))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_29])]) ).

fof(f712,plain,
    ( ~ aScalar0(sdtasasdt0(xt,xt))
    | ~ aScalar0(sdtasasdt0(xs,xs))
    | spl21_29 ),
    inference(resolution,[],[f520,f234]) ).

fof(f234,plain,
    ! [X0,X1] :
      ( aScalar0(sdtasdt0(X0,X1))
      | ~ aScalar0(X1)
      | ~ aScalar0(X0) ),
    inference(cnf_transformation,[],[f95]) ).

fof(f95,plain,
    ! [X0,X1] :
      ( aScalar0(sdtasdt0(X0,X1))
      | ~ aScalar0(X1)
      | ~ aScalar0(X0) ),
    inference(flattening,[],[f94]) ).

fof(f94,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(f520,plain,
    ( ~ aScalar0(sdtasdt0(sdtasasdt0(xs,xs),sdtasasdt0(xt,xt)))
    | spl21_29 ),
    inference(avatar_component_clause,[],[f518]) ).

fof(f779,plain,
    ( spl21_22
    | ~ spl21_1 ),
    inference(avatar_split_clause,[],[f778,f248,f489]) ).

fof(f778,plain,
    ( aScalar0(sdtasasdt0(xs,xs))
    | ~ spl21_1 ),
    inference(subsumption_resolution,[],[f768,f147]) ).

fof(f768,plain,
    ( aScalar0(sdtasasdt0(xs,xs))
    | ~ aVector0(xs)
    | ~ spl21_1 ),
    inference(trivial_inequality_removal,[],[f767]) ).

fof(f767,plain,
    ( sz00 != sz00
    | aScalar0(sdtasasdt0(xs,xs))
    | ~ aVector0(xs)
    | ~ spl21_1 ),
    inference(superposition,[],[f687,f250]) ).

fof(f687,plain,
    ( ! [X0] :
        ( sz00 != aDimensionOf0(X0)
        | aScalar0(sdtasasdt0(xs,X0))
        | ~ aVector0(X0) )
    | ~ spl21_1 ),
    inference(subsumption_resolution,[],[f675,f147]) ).

fof(f675,plain,
    ( ! [X0] :
        ( sz00 != aDimensionOf0(X0)
        | aScalar0(sdtasasdt0(xs,X0))
        | ~ aVector0(X0)
        | ~ aVector0(xs) )
    | ~ spl21_1 ),
    inference(superposition,[],[f196,f250]) ).

fof(f693,plain,
    ( ~ spl21_2
    | ~ spl21_36 ),
    inference(avatar_contradiction_clause,[],[f690]) ).

fof(f690,plain,
    ( $false
    | ~ spl21_2
    | ~ spl21_36 ),
    inference(unit_resulting_resolution,[],[f254,f608]) ).

fof(f608,plain,
    ( ! [X0] : ~ sP4(X0)
    | ~ spl21_36 ),
    inference(avatar_component_clause,[],[f607]) ).

fof(f254,plain,
    ( sP4(sK18)
    | ~ spl21_2 ),
    inference(avatar_component_clause,[],[f252]) ).

fof(f252,plain,
    ( spl21_2
  <=> sP4(sK18) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_2])]) ).

fof(f529,plain,
    ( ~ spl21_29
    | ~ spl21_28
    | spl21_31 ),
    inference(avatar_split_clause,[],[f471,f526,f514,f518]) ).

fof(f471,plain,
    ( sdtlseqdt0(sdtasdt0(sdtasasdt0(xs,xs),sdtasasdt0(xt,xt)),sdtasdt0(sdtasasdt0(xs,xt),sdtasasdt0(xs,xt)))
    | ~ aScalar0(sdtasdt0(sdtasasdt0(xs,xt),sdtasasdt0(xs,xt)))
    | ~ aScalar0(sdtasdt0(sdtasasdt0(xs,xs),sdtasasdt0(xt,xt))) ),
    inference(resolution,[],[f192,f210]) ).

fof(f210,plain,
    ! [X0,X1] :
      ( sdtlseqdt0(X1,X0)
      | sdtlseqdt0(X0,X1)
      | ~ aScalar0(X1)
      | ~ aScalar0(X0) ),
    inference(cnf_transformation,[],[f73]) ).

fof(f73,plain,
    ! [X0,X1] :
      ( sdtlseqdt0(X1,X0)
      | sdtlseqdt0(X0,X1)
      | ~ aScalar0(X1)
      | ~ aScalar0(X0) ),
    inference(flattening,[],[f72]) ).

fof(f72,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(f310,plain,
    ( ~ spl21_1
    | spl21_9 ),
    inference(avatar_split_clause,[],[f306,f308,f248]) ).

fof(f306,plain,
    ! [X0] :
      ( aDimensionOf0(X0) != aDimensionOf0(xs)
      | sz00 != aDimensionOf0(xs)
      | sz0z00 = sdtasasdt0(X0,xt)
      | ~ aVector0(X0) ),
    inference(subsumption_resolution,[],[f284,f148]) ).

fof(f284,plain,
    ! [X0] :
      ( aDimensionOf0(X0) != aDimensionOf0(xs)
      | sz00 != aDimensionOf0(xs)
      | sz0z00 = sdtasasdt0(X0,xt)
      | ~ aVector0(xt)
      | ~ aVector0(X0) ),
    inference(superposition,[],[f195,f150]) ).

fof(f255,plain,
    ( spl21_1
    | spl21_2 ),
    inference(avatar_split_clause,[],[f191,f252,f248]) ).

fof(f191,plain,
    ( sP4(sK18)
    | sz00 = aDimensionOf0(xs) ),
    inference(cnf_transformation,[],[f139]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.09  % Problem    : RNG081+2 : TPTP v8.2.0. Released v4.0.0.
% 0.02/0.10  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.10/0.31  % Computer : n026.cluster.edu
% 0.10/0.31  % Model    : x86_64 x86_64
% 0.10/0.31  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31  % Memory   : 8042.1875MB
% 0.10/0.31  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31  % CPULimit   : 300
% 0.10/0.31  % WCLimit    : 300
% 0.10/0.31  % DateTime   : Sat May 18 12:25:53 EDT 2024
% 0.10/0.31  % CPUTime    : 
% 0.10/0.31  This is a FOF_THM_RFO_SEQ problem
% 0.16/0.31  Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.48/0.67  % (15168)lrs+1011_461:32768_sil=16000:irw=on:sp=frequency:lsd=20:fd=preordered:nwc=10.0:s2agt=32:alpa=false:cond=fast:s2a=on:i=51:s2at=3.0:awrs=decay:awrsf=691:bd=off:nm=20:fsr=off:amm=sco:uhcvi=on:rawr=on_0 on theBenchmark for (2996ds/51Mi)
% 0.48/0.67  % (15169)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on theBenchmark for (2996ds/78Mi)
% 0.48/0.67  % (15171)lrs+2_1:1_sil=16000:fde=none:sos=all:nwc=5.0:i=34:ep=RS:s2pl=on:lma=on:afp=100000_0 on theBenchmark for (2996ds/34Mi)
% 0.48/0.67  % (15172)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on theBenchmark for (2996ds/45Mi)
% 0.48/0.67  % (15173)lrs+21_1:5_sil=2000:sos=on:urr=on:newcnf=on:slsq=on:i=83:slsql=off:bd=off:nm=2:ss=axioms:st=1.5:sp=const_min:gsp=on:rawr=on_0 on theBenchmark for (2996ds/83Mi)
% 0.48/0.67  % (15174)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on theBenchmark for (2996ds/56Mi)
% 0.48/0.67  % (15167)dis-1011_2:1_sil=2000:lsd=20:nwc=5.0:flr=on:mep=off:st=3.0:i=34:sd=1:ep=RS:ss=axioms_0 on theBenchmark for (2996ds/34Mi)
% 0.48/0.67  % (15170)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on theBenchmark for (2996ds/33Mi)
% 0.48/0.67  % (15174)Refutation not found, incomplete strategy% (15174)------------------------------
% 0.48/0.67  % (15174)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.48/0.67  % (15174)Termination reason: Refutation not found, incomplete strategy
% 0.48/0.67  
% 0.48/0.67  % (15174)Memory used [KB]: 1192
% 0.48/0.67  % (15174)Time elapsed: 0.006 s
% 0.48/0.67  % (15174)Instructions burned: 10 (million)
% 0.48/0.67  % (15174)------------------------------
% 0.48/0.67  % (15174)------------------------------
% 0.48/0.68  % (15175)lrs+21_1:16_sil=2000:sp=occurrence:urr=on:flr=on:i=55:sd=1:nm=0:ins=3:ss=included:rawr=on:br=off_0 on theBenchmark for (2996ds/55Mi)
% 0.48/0.68  % (15168)Instruction limit reached!
% 0.48/0.68  % (15168)------------------------------
% 0.48/0.68  % (15168)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.48/0.68  % (15168)Termination reason: Unknown
% 0.48/0.68  % (15168)Termination phase: Saturation
% 0.48/0.68  
% 0.48/0.68  % (15168)Memory used [KB]: 1788
% 0.48/0.68  % (15168)Time elapsed: 0.018 s
% 0.48/0.68  % (15168)Instructions burned: 51 (million)
% 0.48/0.68  % (15168)------------------------------
% 0.48/0.68  % (15168)------------------------------
% 0.48/0.68  % (15171)Instruction limit reached!
% 0.48/0.68  % (15171)------------------------------
% 0.48/0.68  % (15171)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.48/0.68  % (15171)Termination reason: Unknown
% 0.48/0.68  % (15171)Termination phase: Saturation
% 0.48/0.68  
% 0.48/0.68  % (15171)Memory used [KB]: 1613
% 0.48/0.68  % (15171)Time elapsed: 0.019 s
% 0.48/0.68  % (15171)Instructions burned: 34 (million)
% 0.48/0.68  % (15171)------------------------------
% 0.48/0.68  % (15171)------------------------------
% 0.48/0.68  % (15167)Instruction limit reached!
% 0.48/0.68  % (15167)------------------------------
% 0.48/0.68  % (15167)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.48/0.68  % (15167)Termination reason: Unknown
% 0.48/0.69  % (15167)Termination phase: Saturation
% 0.48/0.69  
% 0.48/0.69  % (15167)Memory used [KB]: 1487
% 0.48/0.69  % (15167)Time elapsed: 0.020 s
% 0.48/0.69  % (15167)Instructions burned: 35 (million)
% 0.48/0.69  % (15167)------------------------------
% 0.48/0.69  % (15167)------------------------------
% 0.48/0.69  % (15176)dis+3_25:4_sil=16000:sos=all:erd=off:i=50:s2at=4.0:bd=off:nm=60:sup=off:cond=on:av=off:ins=2:nwc=10.0:etr=on:to=lpo:s2agt=20:fd=off:bsr=unit_only:slsq=on:slsqr=28,19:awrs=converge:awrsf=500:tgt=ground:bs=unit_only_0 on theBenchmark for (2996ds/50Mi)
% 0.48/0.69  % (15178)lrs-1011_1:1_sil=4000:plsq=on:plsqr=32,1:sp=frequency:plsql=on:nwc=10.0:i=52:aac=none:afr=on:ss=axioms:er=filter:sgt=16:rawr=on:etr=on:lma=on_0 on theBenchmark for (2996ds/52Mi)
% 0.48/0.69  % (15177)lrs+1010_1:2_sil=4000:tgt=ground:nwc=10.0:st=2.0:i=208:sd=1:bd=off:ss=axioms_0 on theBenchmark for (2996ds/208Mi)
% 0.48/0.69  % (15172)Instruction limit reached!
% 0.48/0.69  % (15172)------------------------------
% 0.48/0.69  % (15172)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.48/0.69  % (15172)Termination reason: Unknown
% 0.48/0.69  % (15172)Termination phase: Saturation
% 0.48/0.69  
% 0.48/0.69  % (15172)Memory used [KB]: 1674
% 0.48/0.69  % (15172)Time elapsed: 0.026 s
% 0.48/0.69  % (15172)Instructions burned: 46 (million)
% 0.48/0.69  % (15172)------------------------------
% 0.48/0.69  % (15172)------------------------------
% 0.48/0.69  % (15170)Instruction limit reached!
% 0.48/0.69  % (15170)------------------------------
% 0.48/0.69  % (15170)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.48/0.69  % (15170)Termination reason: Unknown
% 0.48/0.69  % (15170)Termination phase: Saturation
% 0.48/0.69  
% 0.48/0.69  % (15170)Memory used [KB]: 1562
% 0.48/0.69  % (15170)Time elapsed: 0.029 s
% 0.48/0.69  % (15170)Instructions burned: 33 (million)
% 0.48/0.69  % (15170)------------------------------
% 0.48/0.69  % (15170)------------------------------
% 0.48/0.70  % (15179)lrs-1010_1:1_to=lpo:sil=2000:sp=reverse_arity:sos=on:urr=ec_only:i=518:sd=2:bd=off:ss=axioms:sgt=16_0 on theBenchmark for (2996ds/518Mi)
% 0.48/0.70  % (15176)Instruction limit reached!
% 0.48/0.70  % (15176)------------------------------
% 0.48/0.70  % (15176)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.48/0.70  % (15176)Termination reason: Unknown
% 0.48/0.70  % (15176)Termination phase: Saturation
% 0.48/0.70  
% 0.48/0.70  % (15176)Memory used [KB]: 1672
% 0.48/0.70  % (15176)Time elapsed: 0.015 s
% 0.48/0.70  % (15176)Instructions burned: 52 (million)
% 0.48/0.70  % (15176)------------------------------
% 0.48/0.70  % (15176)------------------------------
% 0.48/0.70  % (15173)Instruction limit reached!
% 0.48/0.70  % (15173)------------------------------
% 0.48/0.70  % (15173)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.48/0.70  % (15173)Termination reason: Unknown
% 0.48/0.70  % (15173)Termination phase: Saturation
% 0.48/0.70  
% 0.48/0.70  % (15173)Memory used [KB]: 2007
% 0.48/0.70  % (15173)Time elapsed: 0.036 s
% 0.48/0.70  % (15173)Instructions burned: 83 (million)
% 0.48/0.70  % (15173)------------------------------
% 0.48/0.70  % (15173)------------------------------
% 0.48/0.70  % (15180)lrs+1011_87677:1048576_sil=8000:sos=on:spb=non_intro:nwc=10.0:kmz=on:i=42:ep=RS:nm=0:ins=1:uhcvi=on:rawr=on:fde=unused:afp=2000:afq=1.444:plsq=on:nicw=on_0 on theBenchmark for (2996ds/42Mi)
% 0.48/0.70  % (15181)dis+1011_1258907:1048576_bsr=unit_only:to=lpo:drc=off:sil=2000:tgt=full:fde=none:sp=frequency:spb=goal:rnwc=on:nwc=6.70083:sac=on:newcnf=on:st=2:i=243:bs=unit_only:sd=3:afp=300:awrs=decay:awrsf=218:nm=16:ins=3:afq=3.76821:afr=on:ss=axioms:sgt=5:rawr=on:add=off:bsd=on_0 on theBenchmark for (2996ds/243Mi)
% 0.67/0.70  % (15169)Instruction limit reached!
% 0.67/0.70  % (15169)------------------------------
% 0.67/0.70  % (15169)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.67/0.70  % (15169)Termination reason: Unknown
% 0.67/0.70  % (15169)Termination phase: Saturation
% 0.67/0.70  
% 0.67/0.70  % (15169)Memory used [KB]: 1962
% 0.67/0.70  % (15169)Time elapsed: 0.040 s
% 0.67/0.70  % (15169)Instructions burned: 78 (million)
% 0.67/0.70  % (15169)------------------------------
% 0.67/0.70  % (15169)------------------------------
% 0.67/0.71  % (15182)lrs+1011_2:9_sil=2000:lsd=10:newcnf=on:i=117:sd=2:awrs=decay:ss=included:amm=off:ep=R_0 on theBenchmark for (2996ds/117Mi)
% 0.67/0.71  % (15175)Instruction limit reached!
% 0.67/0.71  % (15175)------------------------------
% 0.67/0.71  % (15175)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.67/0.71  % (15175)Termination reason: Unknown
% 0.67/0.71  % (15175)Termination phase: Saturation
% 0.67/0.71  
% 0.67/0.71  % (15175)Memory used [KB]: 2041
% 0.67/0.71  % (15175)Time elapsed: 0.030 s
% 0.67/0.71  % (15175)Instructions burned: 56 (million)
% 0.67/0.71  % (15175)------------------------------
% 0.67/0.71  % (15175)------------------------------
% 0.67/0.71  % (15183)dis+1011_11:1_sil=2000:avsq=on:i=143:avsqr=1,16:ep=RS:rawr=on:aac=none:lsd=100:mep=off:fde=none:newcnf=on:bsr=unit_only_0 on theBenchmark for (2996ds/143Mi)
% 0.67/0.71  % (15184)lrs+1011_1:2_to=lpo:sil=8000:plsqc=1:plsq=on:plsqr=326,59:sp=weighted_frequency:plsql=on:nwc=10.0:newcnf=on:i=93:awrs=converge:awrsf=200:bd=off:ins=1:rawr=on:alpa=false:avsq=on:avsqr=1,16_0 on theBenchmark for (2996ds/93Mi)
% 0.67/0.72  % (15178)Instruction limit reached!
% 0.67/0.72  % (15178)------------------------------
% 0.67/0.72  % (15178)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.67/0.72  % (15178)Termination reason: Unknown
% 0.67/0.72  % (15178)Termination phase: Saturation
% 0.67/0.72  
% 0.67/0.72  % (15178)Memory used [KB]: 1864
% 0.67/0.72  % (15178)Time elapsed: 0.029 s
% 0.67/0.72  % (15178)Instructions burned: 53 (million)
% 0.67/0.72  % (15178)------------------------------
% 0.67/0.72  % (15178)------------------------------
% 0.67/0.72  % (15179)First to succeed.
% 0.67/0.72  % (15185)lrs+1666_1:1_sil=4000:sp=occurrence:sos=on:urr=on:newcnf=on:i=62:amm=off:ep=R:erd=off:nm=0:plsq=on:plsqr=14,1_0 on theBenchmark for (2996ds/62Mi)
% 0.67/0.73  % (15179)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-15166"
% 0.67/0.73  % (15179)Refutation found. Thanks to Tanya!
% 0.67/0.73  % SZS status Theorem for theBenchmark
% 0.67/0.73  % SZS output start Proof for theBenchmark
% See solution above
% 0.67/0.73  % (15179)------------------------------
% 0.67/0.73  % (15179)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.67/0.73  % (15179)Termination reason: Refutation
% 0.67/0.73  
% 0.67/0.73  % (15179)Memory used [KB]: 1599
% 0.67/0.73  % (15179)Time elapsed: 0.031 s
% 0.67/0.73  % (15179)Instructions burned: 57 (million)
% 0.67/0.73  % (15166)Success in time 0.401 s
% 0.67/0.73  % Vampire---4.8 exiting
%------------------------------------------------------------------------------