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

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : RNG071+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 : n016.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 02:39:17 EDT 2024

% Result   : Theorem 0.60s 0.80s
% Output   : Refutation 0.60s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   14
%            Number of leaves      :   31
% Syntax   : Number of formulae    :  151 (  34 unt;   0 def)
%            Number of atoms       :  426 (  31 equ)
%            Maximal formula atoms :    7 (   2 avg)
%            Number of connectives :  480 ( 205   ~; 217   |;  36   &)
%                                         (  11 <=>;  11  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   12 (   4 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :   17 (  15 usr;  12 prp; 0-2 aty)
%            Number of functors    :   23 (  23 usr;  16 con; 0-2 aty)
%            Number of variables   :   65 (  65   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1321,plain,
    $false,
    inference(avatar_sat_refutation,[],[f240,f302,f477,f768,f781,f791,f1233,f1248,f1263,f1294,f1301,f1320]) ).

fof(f1320,plain,
    ( ~ spl2_4
    | spl2_18
    | spl2_40 ),
    inference(avatar_contradiction_clause,[],[f1319]) ).

fof(f1319,plain,
    ( $false
    | ~ spl2_4
    | spl2_18
    | spl2_40 ),
    inference(subsumption_resolution,[],[f1318,f209]) ).

fof(f209,plain,
    aScalar0(sz0z00),
    inference(cnf_transformation,[],[f9]) ).

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

fof(f1318,plain,
    ( ~ aScalar0(sz0z00)
    | ~ spl2_4
    | spl2_18
    | spl2_40 ),
    inference(subsumption_resolution,[],[f1316,f300]) ).

fof(f300,plain,
    ( sdtlseqdt0(sz0z00,xS)
    | ~ spl2_4 ),
    inference(avatar_component_clause,[],[f299]) ).

fof(f299,plain,
    ( spl2_4
  <=> sdtlseqdt0(sz0z00,xS) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_4])]) ).

fof(f1316,plain,
    ( ~ sdtlseqdt0(sz0z00,xS)
    | ~ aScalar0(sz0z00)
    | spl2_18
    | spl2_40 ),
    inference(resolution,[],[f1305,f815]) ).

fof(f815,plain,
    ( ! [X0] :
        ( ~ sdtlseqdt0(xP,X0)
        | ~ sdtlseqdt0(X0,xS)
        | ~ aScalar0(X0) )
    | spl2_18 ),
    inference(subsumption_resolution,[],[f814,f158]) ).

fof(f158,plain,
    aScalar0(xP),
    inference(cnf_transformation,[],[f53]) ).

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

fof(f814,plain,
    ( ! [X0] :
        ( ~ sdtlseqdt0(X0,xS)
        | ~ sdtlseqdt0(xP,X0)
        | ~ aScalar0(X0)
        | ~ aScalar0(xP) )
    | spl2_18 ),
    inference(subsumption_resolution,[],[f812,f160]) ).

fof(f160,plain,
    aScalar0(xS),
    inference(cnf_transformation,[],[f54]) ).

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

fof(f812,plain,
    ( ! [X0] :
        ( ~ sdtlseqdt0(X0,xS)
        | ~ sdtlseqdt0(xP,X0)
        | ~ aScalar0(xS)
        | ~ aScalar0(X0)
        | ~ aScalar0(xP) )
    | spl2_18 ),
    inference(resolution,[],[f476,f173]) ).

fof(f173,plain,
    ! [X2,X0,X1] :
      ( sdtlseqdt0(X0,X2)
      | ~ sdtlseqdt0(X1,X2)
      | ~ sdtlseqdt0(X0,X1)
      | ~ aScalar0(X2)
      | ~ aScalar0(X1)
      | ~ aScalar0(X0) ),
    inference(cnf_transformation,[],[f78]) ).

fof(f78,plain,
    ! [X0,X1,X2] :
      ( sdtlseqdt0(X0,X2)
      | ~ sdtlseqdt0(X1,X2)
      | ~ sdtlseqdt0(X0,X1)
      | ~ aScalar0(X2)
      | ~ aScalar0(X1)
      | ~ aScalar0(X0) ),
    inference(flattening,[],[f77]) ).

fof(f77,plain,
    ! [X0,X1,X2] :
      ( sdtlseqdt0(X0,X2)
      | ~ sdtlseqdt0(X1,X2)
      | ~ sdtlseqdt0(X0,X1)
      | ~ aScalar0(X2)
      | ~ aScalar0(X1)
      | ~ aScalar0(X0) ),
    inference(ennf_transformation,[],[f22]) ).

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

fof(f476,plain,
    ( ~ sdtlseqdt0(xP,xS)
    | spl2_18 ),
    inference(avatar_component_clause,[],[f474]) ).

fof(f474,plain,
    ( spl2_18
  <=> sdtlseqdt0(xP,xS) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_18])]) ).

fof(f1305,plain,
    ( sdtlseqdt0(xP,sz0z00)
    | spl2_40 ),
    inference(subsumption_resolution,[],[f1304,f158]) ).

fof(f1304,plain,
    ( sdtlseqdt0(xP,sz0z00)
    | ~ aScalar0(xP)
    | spl2_40 ),
    inference(subsumption_resolution,[],[f1298,f209]) ).

fof(f1298,plain,
    ( sdtlseqdt0(xP,sz0z00)
    | ~ aScalar0(sz0z00)
    | ~ aScalar0(xP)
    | spl2_40 ),
    inference(resolution,[],[f903,f172]) ).

fof(f172,plain,
    ! [X0,X1] :
      ( sdtlseqdt0(X1,X0)
      | sdtlseqdt0(X0,X1)
      | ~ aScalar0(X1)
      | ~ aScalar0(X0) ),
    inference(cnf_transformation,[],[f76]) ).

fof(f76,plain,
    ! [X0,X1] :
      ( sdtlseqdt0(X1,X0)
      | sdtlseqdt0(X0,X1)
      | ~ aScalar0(X1)
      | ~ aScalar0(X0) ),
    inference(flattening,[],[f75]) ).

fof(f75,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(f903,plain,
    ( ~ sdtlseqdt0(sz0z00,xP)
    | spl2_40 ),
    inference(avatar_component_clause,[],[f902]) ).

fof(f902,plain,
    ( spl2_40
  <=> sdtlseqdt0(sz0z00,xP) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_40])]) ).

fof(f1301,plain,
    ( ~ spl2_3
    | spl2_17
    | spl2_40 ),
    inference(avatar_contradiction_clause,[],[f1300]) ).

fof(f1300,plain,
    ( $false
    | ~ spl2_3
    | spl2_17
    | spl2_40 ),
    inference(subsumption_resolution,[],[f1299,f296]) ).

fof(f296,plain,
    ( sdtlseqdt0(sz0z00,xR)
    | ~ spl2_3 ),
    inference(avatar_component_clause,[],[f295]) ).

fof(f295,plain,
    ( spl2_3
  <=> sdtlseqdt0(sz0z00,xR) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_3])]) ).

fof(f1299,plain,
    ( ~ sdtlseqdt0(sz0z00,xR)
    | spl2_17
    | spl2_40 ),
    inference(subsumption_resolution,[],[f1296,f209]) ).

fof(f1296,plain,
    ( ~ aScalar0(sz0z00)
    | ~ sdtlseqdt0(sz0z00,xR)
    | spl2_17
    | spl2_40 ),
    inference(resolution,[],[f903,f603]) ).

fof(f603,plain,
    ( ! [X0] :
        ( sdtlseqdt0(X0,xP)
        | ~ aScalar0(X0)
        | ~ sdtlseqdt0(X0,xR) )
    | spl2_17 ),
    inference(subsumption_resolution,[],[f600,f158]) ).

fof(f600,plain,
    ( ! [X0] :
        ( ~ sdtlseqdt0(X0,xR)
        | ~ aScalar0(X0)
        | sdtlseqdt0(X0,xP)
        | ~ aScalar0(xP) )
    | spl2_17 ),
    inference(duplicate_literal_removal,[],[f597]) ).

fof(f597,plain,
    ( ! [X0] :
        ( ~ sdtlseqdt0(X0,xR)
        | ~ aScalar0(X0)
        | sdtlseqdt0(X0,xP)
        | ~ aScalar0(xP)
        | ~ aScalar0(X0) )
    | spl2_17 ),
    inference(resolution,[],[f490,f172]) ).

fof(f490,plain,
    ( ! [X0] :
        ( ~ sdtlseqdt0(xP,X0)
        | ~ sdtlseqdt0(X0,xR)
        | ~ aScalar0(X0) )
    | spl2_17 ),
    inference(subsumption_resolution,[],[f489,f158]) ).

fof(f489,plain,
    ( ! [X0] :
        ( ~ sdtlseqdt0(X0,xR)
        | ~ sdtlseqdt0(xP,X0)
        | ~ aScalar0(X0)
        | ~ aScalar0(xP) )
    | spl2_17 ),
    inference(subsumption_resolution,[],[f487,f156]) ).

fof(f156,plain,
    aScalar0(xR),
    inference(cnf_transformation,[],[f52]) ).

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

fof(f487,plain,
    ( ! [X0] :
        ( ~ sdtlseqdt0(X0,xR)
        | ~ sdtlseqdt0(xP,X0)
        | ~ aScalar0(xR)
        | ~ aScalar0(X0)
        | ~ aScalar0(xP) )
    | spl2_17 ),
    inference(resolution,[],[f472,f173]) ).

fof(f472,plain,
    ( ~ sdtlseqdt0(xP,xR)
    | spl2_17 ),
    inference(avatar_component_clause,[],[f470]) ).

fof(f470,plain,
    ( spl2_17
  <=> sdtlseqdt0(xP,xR) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_17])]) ).

fof(f1294,plain,
    ( ~ spl2_40
    | spl2_2 ),
    inference(avatar_split_clause,[],[f1293,f237,f902]) ).

fof(f237,plain,
    ( spl2_2
  <=> sdtlseqdt0(sz0z00,sdtpldt0(xP,xP)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_2])]) ).

fof(f1293,plain,
    ( ~ sdtlseqdt0(sz0z00,xP)
    | spl2_2 ),
    inference(subsumption_resolution,[],[f1285,f158]) ).

fof(f1285,plain,
    ( ~ sdtlseqdt0(sz0z00,xP)
    | ~ aScalar0(xP)
    | spl2_2 ),
    inference(duplicate_literal_removal,[],[f1282]) ).

fof(f1282,plain,
    ( ~ sdtlseqdt0(sz0z00,xP)
    | ~ sdtlseqdt0(sz0z00,xP)
    | ~ aScalar0(xP)
    | ~ aScalar0(xP)
    | spl2_2 ),
    inference(resolution,[],[f239,f206]) ).

fof(f206,plain,
    ! [X0,X1] :
      ( sdtlseqdt0(sz0z00,sdtpldt0(X0,X1))
      | ~ sdtlseqdt0(sz0z00,X1)
      | ~ sdtlseqdt0(sz0z00,X0)
      | ~ aScalar0(X1)
      | ~ aScalar0(X0) ),
    inference(cnf_transformation,[],[f117]) ).

fof(f117,plain,
    ! [X0,X1] :
      ( ( sdtlseqdt0(sz0z00,sdtasdt0(X0,X1))
        & sdtlseqdt0(sz0z00,sdtpldt0(X0,X1)) )
      | ~ sdtlseqdt0(sz0z00,X1)
      | ~ sdtlseqdt0(sz0z00,X0)
      | ~ aScalar0(X1)
      | ~ aScalar0(X0) ),
    inference(flattening,[],[f116]) ).

fof(f116,plain,
    ! [X0,X1] :
      ( ( sdtlseqdt0(sz0z00,sdtasdt0(X0,X1))
        & sdtlseqdt0(sz0z00,sdtpldt0(X0,X1)) )
      | ~ sdtlseqdt0(sz0z00,X1)
      | ~ sdtlseqdt0(sz0z00,X0)
      | ~ aScalar0(X1)
      | ~ aScalar0(X0) ),
    inference(ennf_transformation,[],[f26]) ).

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

fof(f239,plain,
    ( ~ sdtlseqdt0(sz0z00,sdtpldt0(xP,xP))
    | spl2_2 ),
    inference(avatar_component_clause,[],[f237]) ).

fof(f1263,plain,
    ( ~ spl2_48
    | spl2_4
    | ~ spl2_49 ),
    inference(avatar_split_clause,[],[f1262,f1166,f299,f1162]) ).

fof(f1162,plain,
    ( spl2_48
  <=> sdtlseqdt0(sz0z00,sdtasdt0(xA,xA)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_48])]) ).

fof(f1166,plain,
    ( spl2_49
  <=> sdtlseqdt0(sz0z00,sdtasasdt0(xq,xq)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_49])]) ).

fof(f1262,plain,
    ( sdtlseqdt0(sz0z00,xS)
    | ~ sdtlseqdt0(sz0z00,sdtasdt0(xA,xA))
    | ~ spl2_49 ),
    inference(subsumption_resolution,[],[f1261,f218]) ).

fof(f218,plain,
    aScalar0(sdtasdt0(xA,xA)),
    inference(forward_demodulation,[],[f150,f151]) ).

fof(f151,plain,
    xF = sdtasdt0(xA,xA),
    inference(cnf_transformation,[],[f49]) ).

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

fof(f150,plain,
    aScalar0(xF),
    inference(cnf_transformation,[],[f49]) ).

fof(f1261,plain,
    ( sdtlseqdt0(sz0z00,xS)
    | ~ sdtlseqdt0(sz0z00,sdtasdt0(xA,xA))
    | ~ aScalar0(sdtasdt0(xA,xA))
    | ~ spl2_49 ),
    inference(subsumption_resolution,[],[f1260,f216]) ).

fof(f216,plain,
    aScalar0(sdtasasdt0(xq,xq)),
    inference(forward_demodulation,[],[f146,f147]) ).

fof(f147,plain,
    xD = sdtasasdt0(xq,xq),
    inference(cnf_transformation,[],[f47]) ).

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

fof(f146,plain,
    aScalar0(xD),
    inference(cnf_transformation,[],[f47]) ).

fof(f1260,plain,
    ( sdtlseqdt0(sz0z00,xS)
    | ~ sdtlseqdt0(sz0z00,sdtasdt0(xA,xA))
    | ~ aScalar0(sdtasasdt0(xq,xq))
    | ~ aScalar0(sdtasdt0(xA,xA))
    | ~ spl2_49 ),
    inference(subsumption_resolution,[],[f1110,f1167]) ).

fof(f1167,plain,
    ( sdtlseqdt0(sz0z00,sdtasasdt0(xq,xq))
    | ~ spl2_49 ),
    inference(avatar_component_clause,[],[f1166]) ).

fof(f1110,plain,
    ( sdtlseqdt0(sz0z00,xS)
    | ~ sdtlseqdt0(sz0z00,sdtasasdt0(xq,xq))
    | ~ sdtlseqdt0(sz0z00,sdtasdt0(xA,xA))
    | ~ aScalar0(sdtasasdt0(xq,xq))
    | ~ aScalar0(sdtasdt0(xA,xA)) ),
    inference(superposition,[],[f207,f226]) ).

fof(f226,plain,
    xS = sdtasdt0(sdtasdt0(xA,xA),sdtasasdt0(xq,xq)),
    inference(forward_demodulation,[],[f225,f151]) ).

fof(f225,plain,
    xS = sdtasdt0(xF,sdtasasdt0(xq,xq)),
    inference(forward_demodulation,[],[f161,f147]) ).

fof(f161,plain,
    xS = sdtasdt0(xF,xD),
    inference(cnf_transformation,[],[f54]) ).

fof(f207,plain,
    ! [X0,X1] :
      ( sdtlseqdt0(sz0z00,sdtasdt0(X0,X1))
      | ~ sdtlseqdt0(sz0z00,X1)
      | ~ sdtlseqdt0(sz0z00,X0)
      | ~ aScalar0(X1)
      | ~ aScalar0(X0) ),
    inference(cnf_transformation,[],[f117]) ).

fof(f1248,plain,
    spl2_48,
    inference(avatar_contradiction_clause,[],[f1247]) ).

fof(f1247,plain,
    ( $false
    | spl2_48 ),
    inference(subsumption_resolution,[],[f1242,f140]) ).

fof(f140,plain,
    aScalar0(xA),
    inference(cnf_transformation,[],[f44]) ).

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

fof(f1242,plain,
    ( ~ aScalar0(xA)
    | spl2_48 ),
    inference(resolution,[],[f1164,f205]) ).

fof(f205,plain,
    ! [X0] :
      ( sdtlseqdt0(sz0z00,sdtasdt0(X0,X0))
      | ~ aScalar0(X0) ),
    inference(cnf_transformation,[],[f115]) ).

fof(f115,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(f1164,plain,
    ( ~ sdtlseqdt0(sz0z00,sdtasdt0(xA,xA))
    | spl2_48 ),
    inference(avatar_component_clause,[],[f1162]) ).

fof(f1233,plain,
    spl2_49,
    inference(avatar_contradiction_clause,[],[f1232]) ).

fof(f1232,plain,
    ( $false
    | spl2_49 ),
    inference(subsumption_resolution,[],[f1226,f136]) ).

fof(f136,plain,
    aVector0(xq),
    inference(cnf_transformation,[],[f72]) ).

fof(f72,plain,
    ( xq = sziznziztdt0(xt)
    & ! [X0] :
        ( sdtlbdtrb0(xq,X0) = sdtlbdtrb0(xt,X0)
        | ~ aNaturalNumber0(X0) )
    & aDimensionOf0(xt) = szszuzczcdt0(aDimensionOf0(xq))
    & aVector0(xq) ),
    inference(ennf_transformation,[],[f43]) ).

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

fof(f1226,plain,
    ( ~ aVector0(xq)
    | spl2_49 ),
    inference(resolution,[],[f1168,f177]) ).

fof(f177,plain,
    ! [X0] :
      ( sdtlseqdt0(sz0z00,sdtasasdt0(X0,X0))
      | ~ aVector0(X0) ),
    inference(cnf_transformation,[],[f84]) ).

fof(f84,plain,
    ! [X0] :
      ( sdtlseqdt0(sz0z00,sdtasasdt0(X0,X0))
      | ~ aVector0(X0) ),
    inference(ennf_transformation,[],[f37]) ).

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

fof(f1168,plain,
    ( ~ sdtlseqdt0(sz0z00,sdtasasdt0(xq,xq))
    | spl2_49 ),
    inference(avatar_component_clause,[],[f1166]) ).

fof(f791,plain,
    ( ~ spl2_31
    | spl2_3
    | ~ spl2_32 ),
    inference(avatar_split_clause,[],[f790,f750,f295,f746]) ).

fof(f746,plain,
    ( spl2_31
  <=> sdtlseqdt0(sz0z00,sdtasasdt0(xp,xp)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_31])]) ).

fof(f750,plain,
    ( spl2_32
  <=> sdtlseqdt0(sz0z00,sdtasdt0(xB,xB)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_32])]) ).

fof(f790,plain,
    ( sdtlseqdt0(sz0z00,xR)
    | ~ sdtlseqdt0(sz0z00,sdtasasdt0(xp,xp))
    | ~ spl2_32 ),
    inference(subsumption_resolution,[],[f789,f215]) ).

fof(f215,plain,
    aScalar0(sdtasasdt0(xp,xp)),
    inference(forward_demodulation,[],[f144,f145]) ).

fof(f145,plain,
    xC = sdtasasdt0(xp,xp),
    inference(cnf_transformation,[],[f46]) ).

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

fof(f144,plain,
    aScalar0(xC),
    inference(cnf_transformation,[],[f46]) ).

fof(f789,plain,
    ( sdtlseqdt0(sz0z00,xR)
    | ~ sdtlseqdt0(sz0z00,sdtasasdt0(xp,xp))
    | ~ aScalar0(sdtasasdt0(xp,xp))
    | ~ spl2_32 ),
    inference(subsumption_resolution,[],[f788,f219]) ).

fof(f219,plain,
    aScalar0(sdtasdt0(xB,xB)),
    inference(forward_demodulation,[],[f152,f153]) ).

fof(f153,plain,
    xG = sdtasdt0(xB,xB),
    inference(cnf_transformation,[],[f50]) ).

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

fof(f152,plain,
    aScalar0(xG),
    inference(cnf_transformation,[],[f50]) ).

fof(f788,plain,
    ( sdtlseqdt0(sz0z00,xR)
    | ~ sdtlseqdt0(sz0z00,sdtasasdt0(xp,xp))
    | ~ aScalar0(sdtasdt0(xB,xB))
    | ~ aScalar0(sdtasasdt0(xp,xp))
    | ~ spl2_32 ),
    inference(subsumption_resolution,[],[f717,f751]) ).

fof(f751,plain,
    ( sdtlseqdt0(sz0z00,sdtasdt0(xB,xB))
    | ~ spl2_32 ),
    inference(avatar_component_clause,[],[f750]) ).

fof(f717,plain,
    ( sdtlseqdt0(sz0z00,xR)
    | ~ sdtlseqdt0(sz0z00,sdtasdt0(xB,xB))
    | ~ sdtlseqdt0(sz0z00,sdtasasdt0(xp,xp))
    | ~ aScalar0(sdtasdt0(xB,xB))
    | ~ aScalar0(sdtasasdt0(xp,xp)) ),
    inference(superposition,[],[f207,f222]) ).

fof(f222,plain,
    xR = sdtasdt0(sdtasasdt0(xp,xp),sdtasdt0(xB,xB)),
    inference(forward_demodulation,[],[f221,f145]) ).

fof(f221,plain,
    xR = sdtasdt0(xC,sdtasdt0(xB,xB)),
    inference(forward_demodulation,[],[f157,f153]) ).

fof(f157,plain,
    xR = sdtasdt0(xC,xG),
    inference(cnf_transformation,[],[f52]) ).

fof(f781,plain,
    spl2_31,
    inference(avatar_contradiction_clause,[],[f780]) ).

fof(f780,plain,
    ( $false
    | spl2_31 ),
    inference(subsumption_resolution,[],[f774,f132]) ).

fof(f132,plain,
    aVector0(xp),
    inference(cnf_transformation,[],[f71]) ).

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

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

fof(f774,plain,
    ( ~ aVector0(xp)
    | spl2_31 ),
    inference(resolution,[],[f748,f177]) ).

fof(f748,plain,
    ( ~ sdtlseqdt0(sz0z00,sdtasasdt0(xp,xp))
    | spl2_31 ),
    inference(avatar_component_clause,[],[f746]) ).

fof(f768,plain,
    spl2_32,
    inference(avatar_contradiction_clause,[],[f767]) ).

fof(f767,plain,
    ( $false
    | spl2_32 ),
    inference(subsumption_resolution,[],[f762,f142]) ).

fof(f142,plain,
    aScalar0(xB),
    inference(cnf_transformation,[],[f45]) ).

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

fof(f762,plain,
    ( ~ aScalar0(xB)
    | spl2_32 ),
    inference(resolution,[],[f752,f205]) ).

fof(f752,plain,
    ( ~ sdtlseqdt0(sz0z00,sdtasdt0(xB,xB))
    | spl2_32 ),
    inference(avatar_component_clause,[],[f750]) ).

fof(f477,plain,
    ( ~ spl2_17
    | ~ spl2_18 ),
    inference(avatar_split_clause,[],[f468,f474,f470]) ).

fof(f468,plain,
    ( ~ sdtlseqdt0(xP,xS)
    | ~ sdtlseqdt0(xP,xR) ),
    inference(subsumption_resolution,[],[f467,f156]) ).

fof(f467,plain,
    ( ~ sdtlseqdt0(xP,xS)
    | ~ sdtlseqdt0(xP,xR)
    | ~ aScalar0(xR) ),
    inference(subsumption_resolution,[],[f466,f158]) ).

fof(f466,plain,
    ( ~ sdtlseqdt0(xP,xS)
    | ~ sdtlseqdt0(xP,xR)
    | ~ aScalar0(xP)
    | ~ aScalar0(xR) ),
    inference(subsumption_resolution,[],[f465,f160]) ).

fof(f465,plain,
    ( ~ sdtlseqdt0(xP,xS)
    | ~ sdtlseqdt0(xP,xR)
    | ~ aScalar0(xS)
    | ~ aScalar0(xP)
    | ~ aScalar0(xR) ),
    inference(duplicate_literal_removal,[],[f462]) ).

fof(f462,plain,
    ( ~ sdtlseqdt0(xP,xS)
    | ~ sdtlseqdt0(xP,xR)
    | ~ aScalar0(xS)
    | ~ aScalar0(xP)
    | ~ aScalar0(xR)
    | ~ aScalar0(xP) ),
    inference(resolution,[],[f168,f195]) ).

fof(f195,plain,
    ! [X2,X3,X0,X1] :
      ( sdtlseqdt0(sdtpldt0(X0,X2),sdtpldt0(X1,X3))
      | ~ sdtlseqdt0(X2,X3)
      | ~ sdtlseqdt0(X0,X1)
      | ~ aScalar0(X3)
      | ~ aScalar0(X2)
      | ~ aScalar0(X1)
      | ~ aScalar0(X0) ),
    inference(cnf_transformation,[],[f104]) ).

fof(f104,plain,
    ! [X0,X1,X2,X3] :
      ( sdtlseqdt0(sdtpldt0(X0,X2),sdtpldt0(X1,X3))
      | ~ sdtlseqdt0(X2,X3)
      | ~ sdtlseqdt0(X0,X1)
      | ~ aScalar0(X3)
      | ~ aScalar0(X2)
      | ~ aScalar0(X1)
      | ~ aScalar0(X0) ),
    inference(flattening,[],[f103]) ).

fof(f103,plain,
    ! [X0,X1,X2,X3] :
      ( sdtlseqdt0(sdtpldt0(X0,X2),sdtpldt0(X1,X3))
      | ~ sdtlseqdt0(X2,X3)
      | ~ sdtlseqdt0(X0,X1)
      | ~ aScalar0(X3)
      | ~ aScalar0(X2)
      | ~ aScalar0(X1)
      | ~ aScalar0(X0) ),
    inference(ennf_transformation,[],[f23]) ).

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

fof(f168,plain,
    ~ sdtlseqdt0(sdtpldt0(xP,xP),sdtpldt0(xR,xS)),
    inference(cnf_transformation,[],[f60]) ).

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

fof(f302,plain,
    ( ~ spl2_3
    | ~ spl2_4
    | spl2_1 ),
    inference(avatar_split_clause,[],[f293,f233,f299,f295]) ).

fof(f233,plain,
    ( spl2_1
  <=> sdtlseqdt0(sz0z00,sdtpldt0(xR,xS)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1])]) ).

fof(f293,plain,
    ( ~ sdtlseqdt0(sz0z00,xS)
    | ~ sdtlseqdt0(sz0z00,xR)
    | spl2_1 ),
    inference(subsumption_resolution,[],[f292,f156]) ).

fof(f292,plain,
    ( ~ sdtlseqdt0(sz0z00,xS)
    | ~ sdtlseqdt0(sz0z00,xR)
    | ~ aScalar0(xR)
    | spl2_1 ),
    inference(subsumption_resolution,[],[f289,f160]) ).

fof(f289,plain,
    ( ~ sdtlseqdt0(sz0z00,xS)
    | ~ sdtlseqdt0(sz0z00,xR)
    | ~ aScalar0(xS)
    | ~ aScalar0(xR)
    | spl2_1 ),
    inference(resolution,[],[f235,f206]) ).

fof(f235,plain,
    ( ~ sdtlseqdt0(sz0z00,sdtpldt0(xR,xS))
    | spl2_1 ),
    inference(avatar_component_clause,[],[f233]) ).

fof(f240,plain,
    ( ~ spl2_1
    | ~ spl2_2 ),
    inference(avatar_split_clause,[],[f170,f237,f233]) ).

fof(f170,plain,
    ( ~ sdtlseqdt0(sz0z00,sdtpldt0(xP,xP))
    | ~ sdtlseqdt0(sz0z00,sdtpldt0(xR,xS)) ),
    inference(cnf_transformation,[],[f73]) ).

fof(f73,plain,
    ( ~ sdtlseqdt0(sz0z00,sdtpldt0(xP,xP))
    | ~ sdtlseqdt0(sz0z00,sdtpldt0(xR,xS)) ),
    inference(ennf_transformation,[],[f63]) ).

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

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

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.14  % Problem    : RNG071+2 : TPTP v8.2.0. Released v4.0.0.
% 0.07/0.16  % 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
% 0.16/0.38  % Computer : n016.cluster.edu
% 0.16/0.38  % Model    : x86_64 x86_64
% 0.16/0.38  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.38  % Memory   : 8042.1875MB
% 0.16/0.38  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.16/0.38  % CPULimit   : 300
% 0.16/0.38  % WCLimit    : 300
% 0.16/0.38  % DateTime   : Sat May 18 12:09:23 EDT 2024
% 0.16/0.38  % CPUTime    : 
% 0.16/0.38  This is a FOF_THM_RFO_SEQ problem
% 0.16/0.38  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
% 0.60/0.76  % (7102)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)
% 0.60/0.76  % (7095)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)
% 0.60/0.76  % (7096)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)
% 0.60/0.76  % (7101)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)
% 0.60/0.77  % (7100)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)
% 0.60/0.77  % (7098)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)
% 0.60/0.77  % (7099)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)
% 0.60/0.77  % (7097)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on theBenchmark for (2996ds/78Mi)
% 0.60/0.79  % (7099)Instruction limit reached!
% 0.60/0.79  % (7099)------------------------------
% 0.60/0.79  % (7099)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.79  % (7099)Termination reason: Unknown
% 0.60/0.79  % (7099)Termination phase: Saturation
% 0.60/0.79  
% 0.60/0.79  % (7099)Memory used [KB]: 1650
% 0.60/0.79  % (7099)Time elapsed: 0.019 s
% 0.60/0.79  % (7099)Instructions burned: 35 (million)
% 0.60/0.79  % (7099)------------------------------
% 0.60/0.79  % (7099)------------------------------
% 0.60/0.79  % (7102)Instruction limit reached!
% 0.60/0.79  % (7102)------------------------------
% 0.60/0.79  % (7102)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.79  % (7102)Termination reason: Unknown
% 0.60/0.79  % (7102)Termination phase: Saturation
% 0.60/0.79  
% 0.60/0.79  % (7102)Memory used [KB]: 1609
% 0.60/0.79  % (7102)Time elapsed: 0.033 s
% 0.60/0.79  % (7102)Instructions burned: 56 (million)
% 0.60/0.79  % (7102)------------------------------
% 0.60/0.79  % (7102)------------------------------
% 0.60/0.79  % (7103)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 (2995ds/55Mi)
% 0.60/0.79  % (7104)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 (2995ds/50Mi)
% 0.60/0.79  % (7100)First to succeed.
% 0.60/0.80  % (7100)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-7087"
% 0.60/0.80  % (7100)Refutation found. Thanks to Tanya!
% 0.60/0.80  % SZS status Theorem for theBenchmark
% 0.60/0.80  % SZS output start Proof for theBenchmark
% See solution above
% 0.60/0.80  % (7100)------------------------------
% 0.60/0.80  % (7100)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.80  % (7100)Termination reason: Refutation
% 0.60/0.80  
% 0.60/0.80  % (7100)Memory used [KB]: 1437
% 0.60/0.80  % (7100)Time elapsed: 0.028 s
% 0.60/0.80  % (7100)Instructions burned: 45 (million)
% 0.60/0.80  % (7087)Success in time 0.413 s
% 0.60/0.80  % Vampire---4.8 exiting
%------------------------------------------------------------------------------