TSTP Solution File: RNG052+1 by Vampire---4.8

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%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : RNG052+1 : TPTP v8.1.2. 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/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s

% Computer : n012.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Wed May  1 03:41:32 EDT 2024

% Result   : Theorem 0.61s 0.82s
% Output   : Refutation 0.61s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   18
%            Number of leaves      :   20
% Syntax   : Number of formulae    :   90 (  25 unt;   0 def)
%            Number of atoms       :  256 ( 100 equ)
%            Maximal formula atoms :   12 (   2 avg)
%            Number of connectives :  282 ( 116   ~; 115   |;  32   &)
%                                         (   8 <=>;  11  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   4 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :   12 (  10 usr;   6 prp; 0-2 aty)
%            Number of functors    :   15 (  15 usr;   8 con; 0-2 aty)
%            Number of variables   :   55 (  51   !;   4   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1148,plain,
    $false,
    inference(avatar_sat_refutation,[],[f341,f346,f350,f394,f1021,f1142]) ).

fof(f1142,plain,
    ( ~ spl2_5
    | ~ spl2_36 ),
    inference(avatar_contradiction_clause,[],[f1141]) ).

fof(f1141,plain,
    ( $false
    | ~ spl2_5
    | ~ spl2_36 ),
    inference(subsumption_resolution,[],[f1140,f124]) ).

fof(f124,plain,
    aVector0(xp),
    inference(cnf_transformation,[],[f42]) ).

fof(f42,axiom,
    ( xp = sziznziztdt0(xs)
    & aVector0(xp) ),
    file('/export/starexec/sandbox/tmp/tmp.BMTb94Qjop/Vampire---4.8_19757',m__1709) ).

fof(f1140,plain,
    ( ~ aVector0(xp)
    | ~ spl2_5
    | ~ spl2_36 ),
    inference(subsumption_resolution,[],[f1139,f126]) ).

fof(f126,plain,
    aVector0(xq),
    inference(cnf_transformation,[],[f43]) ).

fof(f43,axiom,
    ( xq = sziznziztdt0(xt)
    & aVector0(xq) ),
    file('/export/starexec/sandbox/tmp/tmp.BMTb94Qjop/Vampire---4.8_19757',m__1726) ).

fof(f1139,plain,
    ( ~ aVector0(xq)
    | ~ aVector0(xp)
    | ~ spl2_5
    | ~ spl2_36 ),
    inference(subsumption_resolution,[],[f1138,f877]) ).

fof(f877,plain,
    ( aDimensionOf0(xp) = aDimensionOf0(xq)
    | ~ spl2_36 ),
    inference(avatar_component_clause,[],[f876]) ).

fof(f876,plain,
    ( spl2_36
  <=> aDimensionOf0(xp) = aDimensionOf0(xq) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_36])]) ).

fof(f1138,plain,
    ( aDimensionOf0(xp) != aDimensionOf0(xq)
    | ~ aVector0(xq)
    | ~ aVector0(xp)
    | ~ spl2_5 ),
    inference(subsumption_resolution,[],[f1126,f345]) ).

fof(f345,plain,
    ( iLess0(aDimensionOf0(xp),aDimensionOf0(xs))
    | ~ spl2_5 ),
    inference(avatar_component_clause,[],[f343]) ).

fof(f343,plain,
    ( spl2_5
  <=> iLess0(aDimensionOf0(xp),aDimensionOf0(xs)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_5])]) ).

fof(f1126,plain,
    ( ~ iLess0(aDimensionOf0(xp),aDimensionOf0(xs))
    | aDimensionOf0(xp) != aDimensionOf0(xq)
    | ~ aVector0(xq)
    | ~ aVector0(xp) ),
    inference(resolution,[],[f121,f216]) ).

fof(f216,plain,
    ~ sdtlseqdt0(sdtasdt0(sdtasasdt0(xp,xq),sdtasasdt0(xp,xq)),sdtasdt0(sdtasasdt0(xp,xp),sdtasasdt0(xq,xq))),
    inference(forward_demodulation,[],[f215,f137]) ).

fof(f137,plain,
    xE = sdtasasdt0(xp,xq),
    inference(cnf_transformation,[],[f48]) ).

fof(f48,axiom,
    ( xE = sdtasasdt0(xp,xq)
    & aScalar0(xE) ),
    file('/export/starexec/sandbox/tmp/tmp.BMTb94Qjop/Vampire---4.8_19757',m__1820) ).

fof(f215,plain,
    ~ sdtlseqdt0(sdtasdt0(xE,xE),sdtasdt0(sdtasasdt0(xp,xp),sdtasasdt0(xq,xq))),
    inference(forward_demodulation,[],[f214,f133]) ).

fof(f133,plain,
    xC = sdtasasdt0(xp,xp),
    inference(cnf_transformation,[],[f46]) ).

fof(f46,axiom,
    ( xC = sdtasasdt0(xp,xp)
    & aScalar0(xC) ),
    file('/export/starexec/sandbox/tmp/tmp.BMTb94Qjop/Vampire---4.8_19757',m__1783) ).

fof(f214,plain,
    ~ sdtlseqdt0(sdtasdt0(xE,xE),sdtasdt0(xC,sdtasasdt0(xq,xq))),
    inference(forward_demodulation,[],[f152,f135]) ).

fof(f135,plain,
    xD = sdtasasdt0(xq,xq),
    inference(cnf_transformation,[],[f47]) ).

fof(f47,axiom,
    ( xD = sdtasasdt0(xq,xq)
    & aScalar0(xD) ),
    file('/export/starexec/sandbox/tmp/tmp.BMTb94Qjop/Vampire---4.8_19757',m__1800) ).

fof(f152,plain,
    ~ sdtlseqdt0(sdtasdt0(xE,xE),sdtasdt0(xC,xD)),
    inference(cnf_transformation,[],[f58]) ).

fof(f58,plain,
    ~ sdtlseqdt0(sdtasdt0(xE,xE),sdtasdt0(xC,xD)),
    inference(flattening,[],[f57]) ).

fof(f57,negated_conjecture,
    ~ sdtlseqdt0(sdtasdt0(xE,xE),sdtasdt0(xC,xD)),
    inference(negated_conjecture,[],[f56]) ).

fof(f56,conjecture,
    sdtlseqdt0(sdtasdt0(xE,xE),sdtasdt0(xC,xD)),
    file('/export/starexec/sandbox/tmp/tmp.BMTb94Qjop/Vampire---4.8_19757',m__) ).

fof(f121,plain,
    ! [X0,X1] :
      ( sdtlseqdt0(sdtasdt0(sdtasasdt0(X0,X1),sdtasasdt0(X0,X1)),sdtasdt0(sdtasasdt0(X0,X0),sdtasasdt0(X1,X1)))
      | ~ iLess0(aDimensionOf0(X0),aDimensionOf0(xs))
      | aDimensionOf0(X0) != aDimensionOf0(X1)
      | ~ aVector0(X1)
      | ~ aVector0(X0) ),
    inference(cnf_transformation,[],[f65]) ).

fof(f65,plain,
    ! [X0,X1] :
      ( sdtlseqdt0(sdtasdt0(sdtasasdt0(X0,X1),sdtasasdt0(X0,X1)),sdtasdt0(sdtasasdt0(X0,X0),sdtasasdt0(X1,X1)))
      | ~ iLess0(aDimensionOf0(X0),aDimensionOf0(xs))
      | aDimensionOf0(X0) != aDimensionOf0(X1)
      | ~ aVector0(X1)
      | ~ aVector0(X0) ),
    inference(flattening,[],[f64]) ).

fof(f64,plain,
    ! [X0,X1] :
      ( sdtlseqdt0(sdtasdt0(sdtasasdt0(X0,X1),sdtasasdt0(X0,X1)),sdtasdt0(sdtasasdt0(X0,X0),sdtasasdt0(X1,X1)))
      | ~ iLess0(aDimensionOf0(X0),aDimensionOf0(xs))
      | aDimensionOf0(X0) != aDimensionOf0(X1)
      | ~ aVector0(X1)
      | ~ aVector0(X0) ),
    inference(ennf_transformation,[],[f39]) ).

fof(f39,axiom,
    ! [X0,X1] :
      ( ( aVector0(X1)
        & aVector0(X0) )
     => ( aDimensionOf0(X0) = aDimensionOf0(X1)
       => ( iLess0(aDimensionOf0(X0),aDimensionOf0(xs))
         => sdtlseqdt0(sdtasdt0(sdtasasdt0(X0,X1),sdtasasdt0(X0,X1)),sdtasdt0(sdtasasdt0(X0,X0),sdtasasdt0(X1,X1))) ) ) ),
    file('/export/starexec/sandbox/tmp/tmp.BMTb94Qjop/Vampire---4.8_19757',m__1652) ).

fof(f1021,plain,
    ( spl2_36
    | ~ spl2_4
    | ~ spl2_6 ),
    inference(avatar_split_clause,[],[f1020,f378,f338,f876]) ).

fof(f338,plain,
    ( spl2_4
  <=> ! [X0] :
        ( szszuzczcdt0(X0) != aDimensionOf0(xs)
        | ~ aNaturalNumber0(X0)
        | aDimensionOf0(xp) = X0 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_4])]) ).

fof(f378,plain,
    ( spl2_6
  <=> aNaturalNumber0(aDimensionOf0(xq)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_6])]) ).

fof(f1020,plain,
    ( aDimensionOf0(xp) = aDimensionOf0(xq)
    | ~ spl2_4
    | ~ spl2_6 ),
    inference(subsumption_resolution,[],[f1019,f379]) ).

fof(f379,plain,
    ( aNaturalNumber0(aDimensionOf0(xq))
    | ~ spl2_6 ),
    inference(avatar_component_clause,[],[f378]) ).

fof(f1019,plain,
    ( ~ aNaturalNumber0(aDimensionOf0(xq))
    | aDimensionOf0(xp) = aDimensionOf0(xq)
    | ~ spl2_4 ),
    inference(trivial_inequality_removal,[],[f1017]) ).

fof(f1017,plain,
    ( aDimensionOf0(xs) != aDimensionOf0(xs)
    | ~ aNaturalNumber0(aDimensionOf0(xq))
    | aDimensionOf0(xp) = aDimensionOf0(xq)
    | ~ spl2_4 ),
    inference(superposition,[],[f339,f247]) ).

fof(f247,plain,
    aDimensionOf0(xs) = szszuzczcdt0(aDimensionOf0(xq)),
    inference(subsumption_resolution,[],[f246,f123]) ).

fof(f123,plain,
    sz00 != aDimensionOf0(xs),
    inference(cnf_transformation,[],[f41]) ).

fof(f41,axiom,
    sz00 != aDimensionOf0(xs),
    file('/export/starexec/sandbox/tmp/tmp.BMTb94Qjop/Vampire---4.8_19757',m__1692) ).

fof(f246,plain,
    ( sz00 = aDimensionOf0(xs)
    | aDimensionOf0(xs) = szszuzczcdt0(aDimensionOf0(xq)) ),
    inference(forward_demodulation,[],[f245,f122]) ).

fof(f122,plain,
    aDimensionOf0(xs) = aDimensionOf0(xt),
    inference(cnf_transformation,[],[f40]) ).

fof(f40,axiom,
    aDimensionOf0(xs) = aDimensionOf0(xt),
    file('/export/starexec/sandbox/tmp/tmp.BMTb94Qjop/Vampire---4.8_19757',m__1678_01) ).

fof(f245,plain,
    ( aDimensionOf0(xs) = szszuzczcdt0(aDimensionOf0(xq))
    | sz00 = aDimensionOf0(xt) ),
    inference(forward_demodulation,[],[f244,f122]) ).

fof(f244,plain,
    ( aDimensionOf0(xt) = szszuzczcdt0(aDimensionOf0(xq))
    | sz00 = aDimensionOf0(xt) ),
    inference(subsumption_resolution,[],[f238,f120]) ).

fof(f120,plain,
    aVector0(xt),
    inference(cnf_transformation,[],[f38]) ).

fof(f38,axiom,
    ( aVector0(xt)
    & aVector0(xs) ),
    file('/export/starexec/sandbox/tmp/tmp.BMTb94Qjop/Vampire---4.8_19757',m__1678) ).

fof(f238,plain,
    ( aDimensionOf0(xt) = szszuzczcdt0(aDimensionOf0(xq))
    | sz00 = aDimensionOf0(xt)
    | ~ aVector0(xt) ),
    inference(superposition,[],[f193,f127]) ).

fof(f127,plain,
    xq = sziznziztdt0(xt),
    inference(cnf_transformation,[],[f43]) ).

fof(f193,plain,
    ! [X0] :
      ( aDimensionOf0(X0) = szszuzczcdt0(aDimensionOf0(sziznziztdt0(X0)))
      | sz00 = aDimensionOf0(X0)
      | ~ aVector0(X0) ),
    inference(equality_resolution,[],[f166]) ).

fof(f166,plain,
    ! [X0,X1] :
      ( aDimensionOf0(X0) = szszuzczcdt0(aDimensionOf0(X1))
      | sziznziztdt0(X0) != X1
      | sz00 = aDimensionOf0(X0)
      | ~ aVector0(X0) ),
    inference(cnf_transformation,[],[f116]) ).

fof(f116,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( sziznziztdt0(X0) = X1
            | ( sdtlbdtrb0(X1,sK0(X0,X1)) != sdtlbdtrb0(X0,sK0(X0,X1))
              & aNaturalNumber0(sK0(X0,X1)) )
            | aDimensionOf0(X0) != szszuzczcdt0(aDimensionOf0(X1))
            | ~ aVector0(X1) )
          & ( ( ! [X3] :
                  ( sdtlbdtrb0(X1,X3) = sdtlbdtrb0(X0,X3)
                  | ~ aNaturalNumber0(X3) )
              & aDimensionOf0(X0) = szszuzczcdt0(aDimensionOf0(X1))
              & aVector0(X1) )
            | sziznziztdt0(X0) != X1 ) )
      | sz00 = aDimensionOf0(X0)
      | ~ aVector0(X0) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f114,f115]) ).

fof(f115,plain,
    ! [X0,X1] :
      ( ? [X2] :
          ( sdtlbdtrb0(X1,X2) != sdtlbdtrb0(X0,X2)
          & aNaturalNumber0(X2) )
     => ( sdtlbdtrb0(X1,sK0(X0,X1)) != sdtlbdtrb0(X0,sK0(X0,X1))
        & aNaturalNumber0(sK0(X0,X1)) ) ),
    introduced(choice_axiom,[]) ).

fof(f114,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( sziznziztdt0(X0) = X1
            | ? [X2] :
                ( sdtlbdtrb0(X1,X2) != sdtlbdtrb0(X0,X2)
                & aNaturalNumber0(X2) )
            | aDimensionOf0(X0) != szszuzczcdt0(aDimensionOf0(X1))
            | ~ aVector0(X1) )
          & ( ( ! [X3] :
                  ( sdtlbdtrb0(X1,X3) = sdtlbdtrb0(X0,X3)
                  | ~ aNaturalNumber0(X3) )
              & aDimensionOf0(X0) = szszuzczcdt0(aDimensionOf0(X1))
              & aVector0(X1) )
            | sziznziztdt0(X0) != X1 ) )
      | sz00 = aDimensionOf0(X0)
      | ~ aVector0(X0) ),
    inference(rectify,[],[f113]) ).

fof(f113,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( sziznziztdt0(X0) = X1
            | ? [X2] :
                ( sdtlbdtrb0(X1,X2) != sdtlbdtrb0(X0,X2)
                & aNaturalNumber0(X2) )
            | aDimensionOf0(X0) != szszuzczcdt0(aDimensionOf0(X1))
            | ~ aVector0(X1) )
          & ( ( ! [X2] :
                  ( sdtlbdtrb0(X1,X2) = sdtlbdtrb0(X0,X2)
                  | ~ aNaturalNumber0(X2) )
              & aDimensionOf0(X0) = szszuzczcdt0(aDimensionOf0(X1))
              & aVector0(X1) )
            | sziznziztdt0(X0) != X1 ) )
      | sz00 = aDimensionOf0(X0)
      | ~ aVector0(X0) ),
    inference(flattening,[],[f112]) ).

fof(f112,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( sziznziztdt0(X0) = X1
            | ? [X2] :
                ( sdtlbdtrb0(X1,X2) != sdtlbdtrb0(X0,X2)
                & aNaturalNumber0(X2) )
            | aDimensionOf0(X0) != szszuzczcdt0(aDimensionOf0(X1))
            | ~ aVector0(X1) )
          & ( ( ! [X2] :
                  ( sdtlbdtrb0(X1,X2) = sdtlbdtrb0(X0,X2)
                  | ~ aNaturalNumber0(X2) )
              & aDimensionOf0(X0) = szszuzczcdt0(aDimensionOf0(X1))
              & aVector0(X1) )
            | sziznziztdt0(X0) != X1 ) )
      | sz00 = aDimensionOf0(X0)
      | ~ aVector0(X0) ),
    inference(nnf_transformation,[],[f86]) ).

fof(f86,plain,
    ! [X0] :
      ( ! [X1] :
          ( sziznziztdt0(X0) = X1
        <=> ( ! [X2] :
                ( sdtlbdtrb0(X1,X2) = sdtlbdtrb0(X0,X2)
                | ~ aNaturalNumber0(X2) )
            & aDimensionOf0(X0) = szszuzczcdt0(aDimensionOf0(X1))
            & aVector0(X1) ) )
      | sz00 = aDimensionOf0(X0)
      | ~ aVector0(X0) ),
    inference(flattening,[],[f85]) ).

fof(f85,plain,
    ! [X0] :
      ( ! [X1] :
          ( sziznziztdt0(X0) = X1
        <=> ( ! [X2] :
                ( sdtlbdtrb0(X1,X2) = sdtlbdtrb0(X0,X2)
                | ~ aNaturalNumber0(X2) )
            & aDimensionOf0(X0) = szszuzczcdt0(aDimensionOf0(X1))
            & aVector0(X1) ) )
      | sz00 = aDimensionOf0(X0)
      | ~ aVector0(X0) ),
    inference(ennf_transformation,[],[f32]) ).

fof(f32,axiom,
    ! [X0] :
      ( aVector0(X0)
     => ( sz00 != aDimensionOf0(X0)
       => ! [X1] :
            ( sziznziztdt0(X0) = X1
          <=> ( ! [X2] :
                  ( aNaturalNumber0(X2)
                 => sdtlbdtrb0(X1,X2) = sdtlbdtrb0(X0,X2) )
              & aDimensionOf0(X0) = szszuzczcdt0(aDimensionOf0(X1))
              & aVector0(X1) ) ) ) ),
    file('/export/starexec/sandbox/tmp/tmp.BMTb94Qjop/Vampire---4.8_19757',mDefInit) ).

fof(f339,plain,
    ( ! [X0] :
        ( szszuzczcdt0(X0) != aDimensionOf0(xs)
        | ~ aNaturalNumber0(X0)
        | aDimensionOf0(xp) = X0 )
    | ~ spl2_4 ),
    inference(avatar_component_clause,[],[f338]) ).

fof(f394,plain,
    spl2_6,
    inference(avatar_contradiction_clause,[],[f393]) ).

fof(f393,plain,
    ( $false
    | spl2_6 ),
    inference(subsumption_resolution,[],[f391,f126]) ).

fof(f391,plain,
    ( ~ aVector0(xq)
    | spl2_6 ),
    inference(resolution,[],[f380,f171]) ).

fof(f171,plain,
    ! [X0] :
      ( aNaturalNumber0(aDimensionOf0(X0))
      | ~ aVector0(X0) ),
    inference(cnf_transformation,[],[f89]) ).

fof(f89,plain,
    ! [X0] :
      ( aNaturalNumber0(aDimensionOf0(X0))
      | ~ aVector0(X0) ),
    inference(ennf_transformation,[],[f30]) ).

fof(f30,axiom,
    ! [X0] :
      ( aVector0(X0)
     => aNaturalNumber0(aDimensionOf0(X0)) ),
    file('/export/starexec/sandbox/tmp/tmp.BMTb94Qjop/Vampire---4.8_19757',mDimNat) ).

fof(f380,plain,
    ( ~ aNaturalNumber0(aDimensionOf0(xq))
    | spl2_6 ),
    inference(avatar_component_clause,[],[f378]) ).

fof(f350,plain,
    spl2_3,
    inference(avatar_contradiction_clause,[],[f349]) ).

fof(f349,plain,
    ( $false
    | spl2_3 ),
    inference(subsumption_resolution,[],[f347,f124]) ).

fof(f347,plain,
    ( ~ aVector0(xp)
    | spl2_3 ),
    inference(resolution,[],[f336,f171]) ).

fof(f336,plain,
    ( ~ aNaturalNumber0(aDimensionOf0(xp))
    | spl2_3 ),
    inference(avatar_component_clause,[],[f334]) ).

fof(f334,plain,
    ( spl2_3
  <=> aNaturalNumber0(aDimensionOf0(xp)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_3])]) ).

fof(f346,plain,
    ( ~ spl2_3
    | spl2_5 ),
    inference(avatar_split_clause,[],[f321,f343,f334]) ).

fof(f321,plain,
    ( iLess0(aDimensionOf0(xp),aDimensionOf0(xs))
    | ~ aNaturalNumber0(aDimensionOf0(xp)) ),
    inference(superposition,[],[f153,f228]) ).

fof(f228,plain,
    aDimensionOf0(xs) = szszuzczcdt0(aDimensionOf0(xp)),
    inference(subsumption_resolution,[],[f227,f119]) ).

fof(f119,plain,
    aVector0(xs),
    inference(cnf_transformation,[],[f38]) ).

fof(f227,plain,
    ( aDimensionOf0(xs) = szszuzczcdt0(aDimensionOf0(xp))
    | ~ aVector0(xs) ),
    inference(subsumption_resolution,[],[f221,f123]) ).

fof(f221,plain,
    ( aDimensionOf0(xs) = szszuzczcdt0(aDimensionOf0(xp))
    | sz00 = aDimensionOf0(xs)
    | ~ aVector0(xs) ),
    inference(superposition,[],[f193,f125]) ).

fof(f125,plain,
    xp = sziznziztdt0(xs),
    inference(cnf_transformation,[],[f42]) ).

fof(f153,plain,
    ! [X0] :
      ( iLess0(X0,szszuzczcdt0(X0))
      | ~ aNaturalNumber0(X0) ),
    inference(cnf_transformation,[],[f66]) ).

fof(f66,plain,
    ! [X0] :
      ( iLess0(X0,szszuzczcdt0(X0))
      | ~ aNaturalNumber0(X0) ),
    inference(ennf_transformation,[],[f7]) ).

fof(f7,axiom,
    ! [X0] :
      ( aNaturalNumber0(X0)
     => iLess0(X0,szszuzczcdt0(X0)) ),
    file('/export/starexec/sandbox/tmp/tmp.BMTb94Qjop/Vampire---4.8_19757',mIH) ).

fof(f341,plain,
    ( ~ spl2_3
    | spl2_4 ),
    inference(avatar_split_clause,[],[f320,f338,f334]) ).

fof(f320,plain,
    ! [X0] :
      ( szszuzczcdt0(X0) != aDimensionOf0(xs)
      | aDimensionOf0(xp) = X0
      | ~ aNaturalNumber0(X0)
      | ~ aNaturalNumber0(aDimensionOf0(xp)) ),
    inference(superposition,[],[f172,f228]) ).

fof(f172,plain,
    ! [X0,X1] :
      ( szszuzczcdt0(X0) != szszuzczcdt0(X1)
      | X0 = X1
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(cnf_transformation,[],[f91]) ).

fof(f91,plain,
    ! [X0,X1] :
      ( X0 = X1
      | szszuzczcdt0(X0) != szszuzczcdt0(X1)
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(flattening,[],[f90]) ).

fof(f90,plain,
    ! [X0,X1] :
      ( X0 = X1
      | szszuzczcdt0(X0) != szszuzczcdt0(X1)
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(ennf_transformation,[],[f5]) ).

fof(f5,axiom,
    ! [X0,X1] :
      ( ( aNaturalNumber0(X1)
        & aNaturalNumber0(X0) )
     => ( szszuzczcdt0(X0) = szszuzczcdt0(X1)
       => X0 = X1 ) ),
    file('/export/starexec/sandbox/tmp/tmp.BMTb94Qjop/Vampire---4.8_19757',mSuccEqu) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.10  % Problem    : RNG052+1 : TPTP v8.1.2. Released v4.0.0.
% 0.03/0.11  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.10/0.31  % Computer : n012.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   : Tue Apr 30 17:24:26 EDT 2024
% 0.10/0.32  % CPUTime    : 
% 0.10/0.32  This is a FOF_THM_RFO_SEQ problem
% 0.10/0.32  Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox/tmp/tmp.BMTb94Qjop/Vampire---4.8_19757
% 0.61/0.79  % (19868)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2995ds/33Mi)
% 0.61/0.79  % (19867)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2995ds/78Mi)
% 0.61/0.79  % (19865)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 Vampire---4 for (2995ds/34Mi)
% 0.61/0.79  % (19866)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 Vampire---4 for (2995ds/51Mi)
% 0.61/0.79  % (19869)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 Vampire---4 for (2995ds/34Mi)
% 0.61/0.79  % (19870)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2995ds/45Mi)
% 0.61/0.79  % (19872)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on Vampire---4 for (2995ds/56Mi)
% 0.61/0.79  % (19871)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 Vampire---4 for (2995ds/83Mi)
% 0.61/0.81  % (19868)Instruction limit reached!
% 0.61/0.81  % (19868)------------------------------
% 0.61/0.81  % (19868)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.81  % (19868)Termination reason: Unknown
% 0.61/0.81  % (19868)Termination phase: Saturation
% 0.61/0.81  
% 0.61/0.81  % (19868)Memory used [KB]: 1603
% 0.61/0.81  % (19868)Time elapsed: 0.018 s
% 0.61/0.81  % (19868)Instructions burned: 34 (million)
% 0.61/0.81  % (19868)------------------------------
% 0.61/0.81  % (19868)------------------------------
% 0.61/0.81  % (19865)Instruction limit reached!
% 0.61/0.81  % (19865)------------------------------
% 0.61/0.81  % (19865)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.81  % (19865)Termination reason: Unknown
% 0.61/0.81  % (19865)Termination phase: Saturation
% 0.61/0.81  
% 0.61/0.81  % (19865)Memory used [KB]: 1433
% 0.61/0.81  % (19865)Time elapsed: 0.019 s
% 0.61/0.81  % (19865)Instructions burned: 34 (million)
% 0.61/0.81  % (19865)------------------------------
% 0.61/0.81  % (19865)------------------------------
% 0.61/0.81  % (19869)Instruction limit reached!
% 0.61/0.81  % (19869)------------------------------
% 0.61/0.81  % (19869)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.81  % (19869)Termination reason: Unknown
% 0.61/0.81  % (19869)Termination phase: Saturation
% 0.61/0.81  
% 0.61/0.81  % (19869)Memory used [KB]: 1637
% 0.61/0.81  % (19869)Time elapsed: 0.019 s
% 0.61/0.81  % (19869)Instructions burned: 35 (million)
% 0.61/0.81  % (19869)------------------------------
% 0.61/0.81  % (19869)------------------------------
% 0.61/0.81  % (19870)First to succeed.
% 0.61/0.81  % (19873)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 Vampire---4 for (2995ds/55Mi)
% 0.61/0.81  % (19874)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 Vampire---4 for (2995ds/50Mi)
% 0.61/0.81  % (19875)lrs+1010_1:2_sil=4000:tgt=ground:nwc=10.0:st=2.0:i=208:sd=1:bd=off:ss=axioms_0 on Vampire---4 for (2995ds/208Mi)
% 0.61/0.82  % (19870)Refutation found. Thanks to Tanya!
% 0.61/0.82  % SZS status Theorem for Vampire---4
% 0.61/0.82  % SZS output start Proof for Vampire---4
% See solution above
% 0.61/0.82  % (19870)------------------------------
% 0.61/0.82  % (19870)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.82  % (19870)Termination reason: Refutation
% 0.61/0.82  
% 0.61/0.82  % (19870)Memory used [KB]: 1315
% 0.61/0.82  % (19870)Time elapsed: 0.021 s
% 0.61/0.82  % (19870)Instructions burned: 37 (million)
% 0.61/0.82  % (19870)------------------------------
% 0.61/0.82  % (19870)------------------------------
% 0.61/0.82  % (19864)Success in time 0.493 s
% 0.61/0.82  % Vampire---4.8 exiting
%------------------------------------------------------------------------------