TSTP Solution File: RNG059+1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : RNG059+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 : Sun May  5 08:53:56 EDT 2024

% Result   : Theorem 0.96s 0.88s
% Output   : Refutation 0.96s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   17
%            Number of leaves      :   20
% Syntax   : Number of formulae    :   78 (  43 unt;   0 def)
%            Number of atoms       :  145 (  61 equ)
%            Maximal formula atoms :    7 (   1 avg)
%            Number of connectives :  115 (  48   ~;  36   |;  26   &)
%                                         (   2 <=>;   3  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   2 avg)
%            Maximal term depth    :    7 (   2 avg)
%            Number of predicates  :    7 (   5 usr;   3 prp; 0-2 aty)
%            Number of functors    :   21 (  21 usr;  14 con; 0-2 aty)
%            Number of variables   :   29 (  29   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f787,plain,
    $false,
    inference(avatar_sat_refutation,[],[f231,f276,f784]) ).

fof(f784,plain,
    ~ spl6_3,
    inference(avatar_contradiction_clause,[],[f783]) ).

fof(f783,plain,
    ( $false
    | ~ spl6_3 ),
    inference(subsumption_resolution,[],[f781,f263]) ).

fof(f263,plain,
    aScalar0(sdtasdt0(sdtasdt0(sdtlbdtrb0(xs,aDimensionOf0(xs)),sdtlbdtrb0(xs,aDimensionOf0(xs))),sdtasasdt0(sziznziztdt0(xt),sziznziztdt0(xt)))),
    inference(forward_demodulation,[],[f202,f262]) ).

fof(f262,plain,
    xS = sdtasdt0(sdtasdt0(sdtlbdtrb0(xs,aDimensionOf0(xs)),sdtlbdtrb0(xs,aDimensionOf0(xs))),sdtasasdt0(sziznziztdt0(xt),sziznziztdt0(xt))),
    inference(forward_demodulation,[],[f261,f248]) ).

fof(f248,plain,
    xF = sdtasdt0(sdtlbdtrb0(xs,aDimensionOf0(xs)),sdtlbdtrb0(xs,aDimensionOf0(xs))),
    inference(forward_demodulation,[],[f193,f183]) ).

fof(f183,plain,
    xA = sdtlbdtrb0(xs,aDimensionOf0(xs)),
    inference(cnf_transformation,[],[f44]) ).

fof(f44,axiom,
    ( xA = sdtlbdtrb0(xs,aDimensionOf0(xs))
    & aScalar0(xA) ),
    file('/export/starexec/sandbox/tmp/tmp.8WUbmxTiV3/Vampire---4.8_19714',m__1746) ).

fof(f193,plain,
    xF = sdtasdt0(xA,xA),
    inference(cnf_transformation,[],[f49]) ).

fof(f49,axiom,
    ( xF = sdtasdt0(xA,xA)
    & aScalar0(xF) ),
    file('/export/starexec/sandbox/tmp/tmp.8WUbmxTiV3/Vampire---4.8_19714',m__1837) ).

fof(f261,plain,
    xS = sdtasdt0(xF,sdtasasdt0(sziznziztdt0(xt),sziznziztdt0(xt))),
    inference(forward_demodulation,[],[f203,f243]) ).

fof(f243,plain,
    xD = sdtasasdt0(sziznziztdt0(xt),sziznziztdt0(xt)),
    inference(forward_demodulation,[],[f189,f181]) ).

fof(f181,plain,
    xq = sziznziztdt0(xt),
    inference(cnf_transformation,[],[f43]) ).

fof(f43,axiom,
    ( xq = sziznziztdt0(xt)
    & aVector0(xq) ),
    file('/export/starexec/sandbox/tmp/tmp.8WUbmxTiV3/Vampire---4.8_19714',m__1726) ).

fof(f189,plain,
    xD = sdtasasdt0(xq,xq),
    inference(cnf_transformation,[],[f47]) ).

fof(f47,axiom,
    ( xD = sdtasasdt0(xq,xq)
    & aScalar0(xD) ),
    file('/export/starexec/sandbox/tmp/tmp.8WUbmxTiV3/Vampire---4.8_19714',m__1800) ).

fof(f203,plain,
    xS = sdtasdt0(xF,xD),
    inference(cnf_transformation,[],[f54]) ).

fof(f54,axiom,
    ( xS = sdtasdt0(xF,xD)
    & aScalar0(xS) ),
    file('/export/starexec/sandbox/tmp/tmp.8WUbmxTiV3/Vampire---4.8_19714',m__1930) ).

fof(f202,plain,
    aScalar0(xS),
    inference(cnf_transformation,[],[f54]) ).

fof(f781,plain,
    ( ~ aScalar0(sdtasdt0(sdtasdt0(sdtlbdtrb0(xs,aDimensionOf0(xs)),sdtlbdtrb0(xs,aDimensionOf0(xs))),sdtasasdt0(sziznziztdt0(xt),sziznziztdt0(xt))))
    | ~ spl6_3 ),
    inference(resolution,[],[f780,f132]) ).

fof(f132,plain,
    ! [X0] :
      ( aScalar0(smndt0(X0))
      | ~ aScalar0(X0) ),
    inference(cnf_transformation,[],[f75]) ).

fof(f75,plain,
    ! [X0] :
      ( aScalar0(smndt0(X0))
      | ~ aScalar0(X0) ),
    inference(ennf_transformation,[],[f12]) ).

fof(f12,axiom,
    ! [X0] :
      ( aScalar0(X0)
     => aScalar0(smndt0(X0)) ),
    file('/export/starexec/sandbox/tmp/tmp.8WUbmxTiV3/Vampire---4.8_19714',mNegSc) ).

fof(f780,plain,
    ( ~ aScalar0(smndt0(sdtasdt0(sdtasdt0(sdtlbdtrb0(xs,aDimensionOf0(xs)),sdtlbdtrb0(xs,aDimensionOf0(xs))),sdtasasdt0(sziznziztdt0(xt),sziznziztdt0(xt)))))
    | ~ spl6_3 ),
    inference(subsumption_resolution,[],[f779,f257]) ).

fof(f257,plain,
    aScalar0(sdtasdt0(sdtasasdt0(sziznziztdt0(xs),sziznziztdt0(xs)),sdtasdt0(sdtlbdtrb0(xt,aDimensionOf0(xs)),sdtlbdtrb0(xt,aDimensionOf0(xs))))),
    inference(forward_demodulation,[],[f198,f256]) ).

fof(f256,plain,
    xR = sdtasdt0(sdtasasdt0(sziznziztdt0(xs),sziznziztdt0(xs)),sdtasdt0(sdtlbdtrb0(xt,aDimensionOf0(xs)),sdtlbdtrb0(xt,aDimensionOf0(xs)))),
    inference(forward_demodulation,[],[f255,f241]) ).

fof(f241,plain,
    xC = sdtasasdt0(sziznziztdt0(xs),sziznziztdt0(xs)),
    inference(forward_demodulation,[],[f187,f179]) ).

fof(f179,plain,
    xp = sziznziztdt0(xs),
    inference(cnf_transformation,[],[f42]) ).

fof(f42,axiom,
    ( xp = sziznziztdt0(xs)
    & aVector0(xp) ),
    file('/export/starexec/sandbox/tmp/tmp.8WUbmxTiV3/Vampire---4.8_19714',m__1709) ).

fof(f187,plain,
    xC = sdtasasdt0(xp,xp),
    inference(cnf_transformation,[],[f46]) ).

fof(f46,axiom,
    ( xC = sdtasasdt0(xp,xp)
    & aScalar0(xC) ),
    file('/export/starexec/sandbox/tmp/tmp.8WUbmxTiV3/Vampire---4.8_19714',m__1783) ).

fof(f255,plain,
    xR = sdtasdt0(xC,sdtasdt0(sdtlbdtrb0(xt,aDimensionOf0(xs)),sdtlbdtrb0(xt,aDimensionOf0(xs)))),
    inference(forward_demodulation,[],[f199,f250]) ).

fof(f250,plain,
    xG = sdtasdt0(sdtlbdtrb0(xt,aDimensionOf0(xs)),sdtlbdtrb0(xt,aDimensionOf0(xs))),
    inference(forward_demodulation,[],[f195,f239]) ).

fof(f239,plain,
    xB = sdtlbdtrb0(xt,aDimensionOf0(xs)),
    inference(forward_demodulation,[],[f185,f176]) ).

fof(f176,plain,
    aDimensionOf0(xs) = aDimensionOf0(xt),
    inference(cnf_transformation,[],[f40]) ).

fof(f40,axiom,
    aDimensionOf0(xs) = aDimensionOf0(xt),
    file('/export/starexec/sandbox/tmp/tmp.8WUbmxTiV3/Vampire---4.8_19714',m__1678_01) ).

fof(f185,plain,
    xB = sdtlbdtrb0(xt,aDimensionOf0(xt)),
    inference(cnf_transformation,[],[f45]) ).

fof(f45,axiom,
    ( xB = sdtlbdtrb0(xt,aDimensionOf0(xt))
    & aScalar0(xB) ),
    file('/export/starexec/sandbox/tmp/tmp.8WUbmxTiV3/Vampire---4.8_19714',m__1766) ).

fof(f195,plain,
    xG = sdtasdt0(xB,xB),
    inference(cnf_transformation,[],[f50]) ).

fof(f50,axiom,
    ( xG = sdtasdt0(xB,xB)
    & aScalar0(xG) ),
    file('/export/starexec/sandbox/tmp/tmp.8WUbmxTiV3/Vampire---4.8_19714',m__1854) ).

fof(f199,plain,
    xR = sdtasdt0(xC,xG),
    inference(cnf_transformation,[],[f52]) ).

fof(f52,axiom,
    ( xR = sdtasdt0(xC,xG)
    & aScalar0(xR) ),
    file('/export/starexec/sandbox/tmp/tmp.8WUbmxTiV3/Vampire---4.8_19714',m__1892) ).

fof(f198,plain,
    aScalar0(xR),
    inference(cnf_transformation,[],[f52]) ).

fof(f779,plain,
    ( ~ aScalar0(smndt0(sdtasdt0(sdtasdt0(sdtlbdtrb0(xs,aDimensionOf0(xs)),sdtlbdtrb0(xs,aDimensionOf0(xs))),sdtasasdt0(sziznziztdt0(xt),sziznziztdt0(xt)))))
    | ~ aScalar0(sdtasdt0(sdtasasdt0(sziznziztdt0(xs),sziznziztdt0(xs)),sdtasdt0(sdtlbdtrb0(xt,aDimensionOf0(xs)),sdtlbdtrb0(xt,aDimensionOf0(xs)))))
    | ~ spl6_3 ),
    inference(subsumption_resolution,[],[f775,f273]) ).

fof(f273,plain,
    ~ sP5(sdtasdt0(smndt0(sdtasdt0(sdtasdt0(sdtlbdtrb0(xs,aDimensionOf0(xs)),sdtlbdtrb0(xs,aDimensionOf0(xs))),sdtasasdt0(sziznziztdt0(xt),sziznziztdt0(xt)))),sdtasdt0(sdtasasdt0(sziznziztdt0(xs),sziznziztdt0(xs)),sdtasdt0(sdtlbdtrb0(xt,aDimensionOf0(xs)),sdtlbdtrb0(xt,aDimensionOf0(xs)))))),
    inference(forward_demodulation,[],[f272,f262]) ).

fof(f272,plain,
    ~ sP5(sdtasdt0(smndt0(xS),sdtasdt0(sdtasasdt0(sziznziztdt0(xs),sziznziztdt0(xs)),sdtasdt0(sdtlbdtrb0(xt,aDimensionOf0(xs)),sdtlbdtrb0(xt,aDimensionOf0(xs)))))),
    inference(forward_demodulation,[],[f215,f256]) ).

fof(f215,plain,
    ~ sP5(sdtasdt0(smndt0(xS),xR)),
    introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP5])]) ).

fof(f775,plain,
    ( sP5(sdtasdt0(smndt0(sdtasdt0(sdtasdt0(sdtlbdtrb0(xs,aDimensionOf0(xs)),sdtlbdtrb0(xs,aDimensionOf0(xs))),sdtasasdt0(sziznziztdt0(xt),sziznziztdt0(xt)))),sdtasdt0(sdtasasdt0(sziznziztdt0(xs),sziznziztdt0(xs)),sdtasdt0(sdtlbdtrb0(xt,aDimensionOf0(xs)),sdtlbdtrb0(xt,aDimensionOf0(xs))))))
    | ~ aScalar0(smndt0(sdtasdt0(sdtasdt0(sdtlbdtrb0(xs,aDimensionOf0(xs)),sdtlbdtrb0(xs,aDimensionOf0(xs))),sdtasasdt0(sziznziztdt0(xt),sziznziztdt0(xt)))))
    | ~ aScalar0(sdtasdt0(sdtasasdt0(sziznziztdt0(xs),sziznziztdt0(xs)),sdtasdt0(sdtlbdtrb0(xt,aDimensionOf0(xs)),sdtlbdtrb0(xt,aDimensionOf0(xs)))))
    | ~ spl6_3 ),
    inference(superposition,[],[f408,f230]) ).

fof(f230,plain,
    ( ! [X0,X1] :
        ( sdtasdt0(X0,X1) = sdtasdt0(X1,X0)
        | ~ aScalar0(X0)
        | ~ aScalar0(X1) )
    | ~ spl6_3 ),
    inference(avatar_component_clause,[],[f229]) ).

fof(f229,plain,
    ( spl6_3
  <=> ! [X0,X1] :
        ( ~ aScalar0(X0)
        | sdtasdt0(X0,X1) = sdtasdt0(X1,X0)
        | ~ aScalar0(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_3])]) ).

fof(f408,plain,
    sP5(sdtasdt0(sdtasdt0(sdtasasdt0(sziznziztdt0(xs),sziznziztdt0(xs)),sdtasdt0(sdtlbdtrb0(xt,aDimensionOf0(xs)),sdtlbdtrb0(xt,aDimensionOf0(xs)))),smndt0(sdtasdt0(sdtasdt0(sdtlbdtrb0(xs,aDimensionOf0(xs)),sdtlbdtrb0(xs,aDimensionOf0(xs))),sdtasasdt0(sziznziztdt0(xt),sziznziztdt0(xt)))))),
    inference(subsumption_resolution,[],[f407,f257]) ).

fof(f407,plain,
    ( sP5(sdtasdt0(sdtasdt0(sdtasasdt0(sziznziztdt0(xs),sziznziztdt0(xs)),sdtasdt0(sdtlbdtrb0(xt,aDimensionOf0(xs)),sdtlbdtrb0(xt,aDimensionOf0(xs)))),smndt0(sdtasdt0(sdtasdt0(sdtlbdtrb0(xs,aDimensionOf0(xs)),sdtlbdtrb0(xs,aDimensionOf0(xs))),sdtasasdt0(sziznziztdt0(xt),sziznziztdt0(xt))))))
    | ~ aScalar0(sdtasdt0(sdtasasdt0(sziznziztdt0(xs),sziznziztdt0(xs)),sdtasdt0(sdtlbdtrb0(xt,aDimensionOf0(xs)),sdtlbdtrb0(xt,aDimensionOf0(xs))))) ),
    inference(subsumption_resolution,[],[f391,f263]) ).

fof(f391,plain,
    ( sP5(sdtasdt0(sdtasdt0(sdtasasdt0(sziznziztdt0(xs),sziznziztdt0(xs)),sdtasdt0(sdtlbdtrb0(xt,aDimensionOf0(xs)),sdtlbdtrb0(xt,aDimensionOf0(xs)))),smndt0(sdtasdt0(sdtasdt0(sdtlbdtrb0(xs,aDimensionOf0(xs)),sdtlbdtrb0(xs,aDimensionOf0(xs))),sdtasasdt0(sziznziztdt0(xt),sziznziztdt0(xt))))))
    | ~ aScalar0(sdtasdt0(sdtasdt0(sdtlbdtrb0(xs,aDimensionOf0(xs)),sdtlbdtrb0(xs,aDimensionOf0(xs))),sdtasasdt0(sziznziztdt0(xt),sziznziztdt0(xt))))
    | ~ aScalar0(sdtasdt0(sdtasasdt0(sziznziztdt0(xs),sziznziztdt0(xs)),sdtasdt0(sdtlbdtrb0(xt,aDimensionOf0(xs)),sdtlbdtrb0(xt,aDimensionOf0(xs))))) ),
    inference(superposition,[],[f274,f148]) ).

fof(f148,plain,
    ! [X0,X1] :
      ( sdtasdt0(X0,smndt0(X1)) = smndt0(sdtasdt0(X0,X1))
      | ~ aScalar0(X1)
      | ~ aScalar0(X0) ),
    inference(cnf_transformation,[],[f84]) ).

fof(f84,plain,
    ! [X0,X1] :
      ( ( smndt0(sdtasdt0(X0,X1)) = sdtasdt0(smndt0(X0),X1)
        & sdtasdt0(X0,smndt0(X1)) = smndt0(sdtasdt0(X0,X1)) )
      | ~ aScalar0(X1)
      | ~ aScalar0(X0) ),
    inference(flattening,[],[f83]) ).

fof(f83,plain,
    ! [X0,X1] :
      ( ( smndt0(sdtasdt0(X0,X1)) = sdtasdt0(smndt0(X0),X1)
        & sdtasdt0(X0,smndt0(X1)) = smndt0(sdtasdt0(X0,X1)) )
      | ~ aScalar0(X1)
      | ~ aScalar0(X0) ),
    inference(ennf_transformation,[],[f17]) ).

fof(f17,axiom,
    ! [X0,X1] :
      ( ( aScalar0(X1)
        & aScalar0(X0) )
     => ( smndt0(sdtasdt0(X0,X1)) = sdtasdt0(smndt0(X0),X1)
        & sdtasdt0(X0,smndt0(X1)) = smndt0(sdtasdt0(X0,X1)) ) ),
    file('/export/starexec/sandbox/tmp/tmp.8WUbmxTiV3/Vampire---4.8_19714',mMNeg) ).

fof(f274,plain,
    sP5(smndt0(sdtasdt0(sdtasdt0(sdtasasdt0(sziznziztdt0(xs),sziznziztdt0(xs)),sdtasdt0(sdtlbdtrb0(xt,aDimensionOf0(xs)),sdtlbdtrb0(xt,aDimensionOf0(xs)))),sdtasdt0(sdtasdt0(sdtlbdtrb0(xs,aDimensionOf0(xs)),sdtlbdtrb0(xs,aDimensionOf0(xs))),sdtasasdt0(sziznziztdt0(xt),sziznziztdt0(xt)))))),
    inference(forward_demodulation,[],[f216,f265]) ).

fof(f265,plain,
    xN = sdtasdt0(sdtasdt0(sdtasasdt0(sziznziztdt0(xs),sziznziztdt0(xs)),sdtasdt0(sdtlbdtrb0(xt,aDimensionOf0(xs)),sdtlbdtrb0(xt,aDimensionOf0(xs)))),sdtasdt0(sdtasdt0(sdtlbdtrb0(xs,aDimensionOf0(xs)),sdtlbdtrb0(xs,aDimensionOf0(xs))),sdtasasdt0(sziznziztdt0(xt),sziznziztdt0(xt)))),
    inference(forward_demodulation,[],[f264,f256]) ).

fof(f264,plain,
    xN = sdtasdt0(xR,sdtasdt0(sdtasdt0(sdtlbdtrb0(xs,aDimensionOf0(xs)),sdtlbdtrb0(xs,aDimensionOf0(xs))),sdtasasdt0(sziznziztdt0(xt),sziznziztdt0(xt)))),
    inference(forward_demodulation,[],[f205,f262]) ).

fof(f205,plain,
    xN = sdtasdt0(xR,xS),
    inference(cnf_transformation,[],[f55]) ).

fof(f55,axiom,
    ( xN = sdtasdt0(xR,xS)
    & aScalar0(xN) ),
    file('/export/starexec/sandbox/tmp/tmp.8WUbmxTiV3/Vampire---4.8_19714',m__1949) ).

fof(f216,plain,
    sP5(smndt0(xN)),
    inference(inequality_splitting,[],[f208,f215]) ).

fof(f208,plain,
    sdtasdt0(smndt0(xS),xR) != smndt0(xN),
    inference(cnf_transformation,[],[f60]) ).

fof(f60,plain,
    sdtasdt0(smndt0(xS),xR) != smndt0(xN),
    inference(flattening,[],[f59]) ).

fof(f59,negated_conjecture,
    sdtasdt0(smndt0(xS),xR) != smndt0(xN),
    inference(negated_conjecture,[],[f58]) ).

fof(f58,conjecture,
    sdtasdt0(smndt0(xS),xR) = smndt0(xN),
    file('/export/starexec/sandbox/tmp/tmp.8WUbmxTiV3/Vampire---4.8_19714',m__) ).

fof(f276,plain,
    ~ spl6_2,
    inference(avatar_contradiction_clause,[],[f275]) ).

fof(f275,plain,
    ( $false
    | ~ spl6_2 ),
    inference(resolution,[],[f129,f226]) ).

fof(f226,plain,
    ( ! [X0] : ~ aScalar0(X0)
    | ~ spl6_2 ),
    inference(avatar_component_clause,[],[f225]) ).

fof(f225,plain,
    ( spl6_2
  <=> ! [X0] : ~ aScalar0(X0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_2])]) ).

fof(f129,plain,
    aScalar0(sz0z00),
    inference(cnf_transformation,[],[f9]) ).

fof(f9,axiom,
    aScalar0(sz0z00),
    file('/export/starexec/sandbox/tmp/tmp.8WUbmxTiV3/Vampire---4.8_19714',mSZeroSc) ).

fof(f231,plain,
    ( spl6_2
    | spl6_3 ),
    inference(avatar_split_clause,[],[f144,f229,f225]) ).

fof(f144,plain,
    ! [X2,X0,X1] :
      ( ~ aScalar0(X0)
      | ~ aScalar0(X1)
      | ~ aScalar0(X2)
      | sdtasdt0(X0,X1) = sdtasdt0(X1,X0) ),
    inference(cnf_transformation,[],[f78]) ).

fof(f78,plain,
    ! [X0,X1,X2] :
      ( ( sdtasdt0(X0,X1) = sdtasdt0(X1,X0)
        & sdtasdt0(sdtasdt0(X0,X1),X2) = sdtasdt0(X0,sdtasdt0(X1,X2))
        & sdtpldt0(X0,X1) = sdtpldt0(X1,X0)
        & sdtpldt0(sdtpldt0(X0,X1),X2) = sdtpldt0(X0,sdtpldt0(X1,X2)) )
      | ~ aScalar0(X2)
      | ~ aScalar0(X1)
      | ~ aScalar0(X0) ),
    inference(flattening,[],[f77]) ).

fof(f77,plain,
    ! [X0,X1,X2] :
      ( ( sdtasdt0(X0,X1) = sdtasdt0(X1,X0)
        & sdtasdt0(sdtasdt0(X0,X1),X2) = sdtasdt0(X0,sdtasdt0(X1,X2))
        & sdtpldt0(X0,X1) = sdtpldt0(X1,X0)
        & sdtpldt0(sdtpldt0(X0,X1),X2) = sdtpldt0(X0,sdtpldt0(X1,X2)) )
      | ~ aScalar0(X2)
      | ~ aScalar0(X1)
      | ~ aScalar0(X0) ),
    inference(ennf_transformation,[],[f14]) ).

fof(f14,axiom,
    ! [X0,X1,X2] :
      ( ( aScalar0(X2)
        & aScalar0(X1)
        & aScalar0(X0) )
     => ( sdtasdt0(X0,X1) = sdtasdt0(X1,X0)
        & sdtasdt0(sdtasdt0(X0,X1),X2) = sdtasdt0(X0,sdtasdt0(X1,X2))
        & sdtpldt0(X0,X1) = sdtpldt0(X1,X0)
        & sdtpldt0(sdtpldt0(X0,X1),X2) = sdtpldt0(X0,sdtpldt0(X1,X2)) ) ),
    file('/export/starexec/sandbox/tmp/tmp.8WUbmxTiV3/Vampire---4.8_19714',mArith) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.12  % Problem    : RNG059+1 : TPTP v8.1.2. Released v4.0.0.
% 0.08/0.14  % 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
% 0.14/0.35  % Computer : n012.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit   : 300
% 0.14/0.35  % WCLimit    : 300
% 0.14/0.35  % DateTime   : Fri May  3 18:20:23 EDT 2024
% 0.14/0.35  % CPUTime    : 
% 0.14/0.35  This is a FOF_THM_RFO_SEQ problem
% 0.14/0.35  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.8WUbmxTiV3/Vampire---4.8_19714
% 0.59/0.80  % (19979)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2995ds/78Mi)
% 0.59/0.80  % (19980)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)
% 0.59/0.80  % (19981)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)
% 0.59/0.80  % (19982)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)
% 0.59/0.80  % (19984)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)
% 0.59/0.80  % (19983)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)
% 0.59/0.80  % (19977)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)
% 0.59/0.80  % (19978)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)
% 0.65/0.82  % (19980)Instruction limit reached!
% 0.65/0.82  % (19980)------------------------------
% 0.65/0.82  % (19980)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.65/0.82  % (19980)Termination reason: Unknown
% 0.65/0.82  % (19980)Termination phase: Saturation
% 0.65/0.82  
% 0.65/0.82  % (19980)Memory used [KB]: 1657
% 0.65/0.82  % (19980)Time elapsed: 0.020 s
% 0.65/0.82  % (19980)Instructions burned: 33 (million)
% 0.65/0.82  % (19980)------------------------------
% 0.65/0.82  % (19980)------------------------------
% 0.65/0.82  % (19981)Instruction limit reached!
% 0.65/0.82  % (19981)------------------------------
% 0.65/0.82  % (19981)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.65/0.82  % (19981)Termination reason: Unknown
% 0.65/0.82  % (19981)Termination phase: Saturation
% 0.65/0.82  
% 0.65/0.82  % (19981)Memory used [KB]: 1638
% 0.65/0.82  % (19981)Time elapsed: 0.021 s
% 0.65/0.82  % (19981)Instructions burned: 34 (million)
% 0.65/0.82  % (19981)------------------------------
% 0.65/0.82  % (19981)------------------------------
% 0.65/0.82  % (19977)Instruction limit reached!
% 0.65/0.82  % (19977)------------------------------
% 0.65/0.82  % (19977)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.65/0.82  % (19977)Termination reason: Unknown
% 0.65/0.82  % (19977)Termination phase: Saturation
% 0.65/0.82  
% 0.65/0.82  % (19977)Memory used [KB]: 1429
% 0.65/0.82  % (19977)Time elapsed: 0.021 s
% 0.65/0.82  % (19977)Instructions burned: 34 (million)
% 0.65/0.82  % (19977)------------------------------
% 0.65/0.82  % (19977)------------------------------
% 0.65/0.82  % (19986)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)
% 0.65/0.83  % (19985)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)
% 0.65/0.83  % (19987)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)
% 0.65/0.83  % (19982)Instruction limit reached!
% 0.65/0.83  % (19982)------------------------------
% 0.65/0.83  % (19982)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.65/0.83  % (19982)Termination reason: Unknown
% 0.65/0.83  % (19982)Termination phase: Saturation
% 0.65/0.83  
% 0.65/0.83  % (19982)Memory used [KB]: 1667
% 0.65/0.83  % (19982)Time elapsed: 0.029 s
% 0.65/0.83  % (19982)Instructions burned: 46 (million)
% 0.65/0.83  % (19982)------------------------------
% 0.65/0.83  % (19982)------------------------------
% 0.65/0.83  % (19984)Instruction limit reached!
% 0.65/0.83  % (19984)------------------------------
% 0.65/0.83  % (19984)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.65/0.83  % (19984)Termination reason: Unknown
% 0.65/0.83  % (19984)Termination phase: Saturation
% 0.65/0.83  
% 0.65/0.83  % (19984)Memory used [KB]: 1451
% 0.65/0.83  % (19984)Time elapsed: 0.030 s
% 0.65/0.83  % (19984)Instructions burned: 57 (million)
% 0.65/0.83  % (19984)------------------------------
% 0.65/0.83  % (19984)------------------------------
% 0.65/0.83  % (19989)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 Vampire---4 for (2995ds/518Mi)
% 0.65/0.83  % (19978)Instruction limit reached!
% 0.65/0.83  % (19978)------------------------------
% 0.65/0.83  % (19978)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.65/0.83  % (19978)Termination reason: Unknown
% 0.65/0.83  % (19978)Termination phase: Saturation
% 0.65/0.83  
% 0.65/0.83  % (19978)Memory used [KB]: 1661
% 0.65/0.83  % (19978)Time elapsed: 0.032 s
% 0.65/0.83  % (19978)Instructions burned: 51 (million)
% 0.65/0.83  % (19978)------------------------------
% 0.65/0.83  % (19978)------------------------------
% 0.65/0.84  % (19988)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 Vampire---4 for (2995ds/52Mi)
% 0.65/0.84  % (19990)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 Vampire---4 for (2995ds/42Mi)
% 0.65/0.84  % (19983)Instruction limit reached!
% 0.65/0.84  % (19983)------------------------------
% 0.65/0.84  % (19983)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.65/0.84  % (19983)Termination reason: Unknown
% 0.65/0.84  % (19983)Termination phase: Saturation
% 0.65/0.84  
% 0.65/0.84  % (19983)Memory used [KB]: 1960
% 0.65/0.84  % (19983)Time elapsed: 0.042 s
% 0.65/0.84  % (19983)Instructions burned: 84 (million)
% 0.65/0.84  % (19983)------------------------------
% 0.65/0.84  % (19983)------------------------------
% 0.65/0.84  % (19990)Refutation not found, incomplete strategy% (19990)------------------------------
% 0.65/0.84  % (19990)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.65/0.84  % (19990)Termination reason: Refutation not found, incomplete strategy
% 0.65/0.84  
% 0.65/0.84  % (19990)Memory used [KB]: 1141
% 0.65/0.84  % (19990)Time elapsed: 0.005 s
% 0.65/0.84  % (19990)Instructions burned: 6 (million)
% 0.65/0.84  % (19990)------------------------------
% 0.65/0.84  % (19990)------------------------------
% 0.65/0.85  % (19979)Instruction limit reached!
% 0.65/0.85  % (19979)------------------------------
% 0.65/0.85  % (19979)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.65/0.85  % (19979)Termination reason: Unknown
% 0.65/0.85  % (19979)Termination phase: Saturation
% 0.65/0.85  
% 0.65/0.85  % (19979)Memory used [KB]: 2019
% 0.65/0.85  % (19979)Time elapsed: 0.047 s
% 0.65/0.85  % (19979)Instructions burned: 79 (million)
% 0.65/0.85  % (19979)------------------------------
% 0.65/0.85  % (19979)------------------------------
% 0.65/0.85  % (19992)lrs+1011_2:9_sil=2000:lsd=10:newcnf=on:i=117:sd=2:awrs=decay:ss=included:amm=off:ep=R_0 on Vampire---4 for (2995ds/117Mi)
% 0.65/0.85  % (19993)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 Vampire---4 for (2995ds/143Mi)
% 0.65/0.85  % (19986)Instruction limit reached!
% 0.65/0.85  % (19986)------------------------------
% 0.65/0.85  % (19986)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.65/0.85  % (19986)Termination reason: Unknown
% 0.65/0.85  % (19986)Termination phase: Saturation
% 0.65/0.85  
% 0.65/0.85  % (19986)Memory used [KB]: 1736
% 0.65/0.85  % (19986)Time elapsed: 0.028 s
% 0.65/0.85  % (19986)Instructions burned: 51 (million)
% 0.65/0.85  % (19986)------------------------------
% 0.65/0.85  % (19986)------------------------------
% 0.65/0.85  % (19991)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 Vampire---4 for (2995ds/243Mi)
% 0.65/0.85  % (19985)Instruction limit reached!
% 0.65/0.85  % (19985)------------------------------
% 0.65/0.85  % (19985)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.65/0.85  % (19985)Termination reason: Unknown
% 0.65/0.85  % (19985)Termination phase: Saturation
% 0.65/0.85  
% 0.65/0.85  % (19985)Memory used [KB]: 1875
% 0.65/0.85  % (19985)Time elapsed: 0.031 s
% 0.65/0.85  % (19985)Instructions burned: 56 (million)
% 0.65/0.85  % (19985)------------------------------
% 0.65/0.85  % (19985)------------------------------
% 0.65/0.86  % (19994)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 Vampire---4 for (2995ds/93Mi)
% 0.65/0.86  % (19995)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 Vampire---4 for (2995ds/62Mi)
% 0.96/0.87  % (19988)Instruction limit reached!
% 0.96/0.87  % (19988)------------------------------
% 0.96/0.87  % (19988)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.96/0.87  % (19988)Termination reason: Unknown
% 0.96/0.87  % (19988)Termination phase: Saturation
% 0.96/0.87  
% 0.96/0.87  % (19988)Memory used [KB]: 1648
% 0.96/0.87  % (19988)Time elapsed: 0.034 s
% 0.96/0.87  % (19988)Instructions burned: 53 (million)
% 0.96/0.87  % (19988)------------------------------
% 0.96/0.87  % (19988)------------------------------
% 0.96/0.87  % (19996)lrs+21_2461:262144_anc=none:drc=off:sil=2000:sp=occurrence:nwc=6.0:updr=off:st=3.0:i=32:sd=2:afp=4000:erml=3:nm=14:afq=2.0:uhcvi=on:ss=included:er=filter:abs=on:nicw=on:ile=on:sims=off:s2a=on:s2agt=50:s2at=-1.0:plsq=on:plsql=on:plsqc=2:plsqr=1,32:newcnf=on:bd=off:to=lpo_0 on Vampire---4 for (2995ds/32Mi)
% 0.96/0.88  % (19994)First to succeed.
% 0.96/0.88  % (19994)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-19967"
% 0.96/0.88  % (19994)Refutation found. Thanks to Tanya!
% 0.96/0.88  % SZS status Theorem for Vampire---4
% 0.96/0.88  % SZS output start Proof for Vampire---4
% See solution above
% 0.96/0.88  % (19994)------------------------------
% 0.96/0.88  % (19994)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.96/0.88  % (19994)Termination reason: Refutation
% 0.96/0.88  
% 0.96/0.88  % (19994)Memory used [KB]: 1408
% 0.96/0.88  % (19994)Time elapsed: 0.024 s
% 0.96/0.88  % (19994)Instructions burned: 39 (million)
% 0.96/0.88  % (19967)Success in time 0.513 s
% 0.96/0.88  % Vampire---4.8 exiting
%------------------------------------------------------------------------------