TSTP Solution File: RNG098+1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : RNG098+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 : n024.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 08:54:13 EDT 2024

% Result   : Theorem 0.57s 0.75s
% Output   : Refutation 0.57s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   13
%            Number of leaves      :   20
% Syntax   : Number of formulae    :   81 (  26 unt;   0 def)
%            Number of atoms       :  242 (  18 equ)
%            Maximal formula atoms :   14 (   2 avg)
%            Number of connectives :  261 ( 100   ~;  89   |;  51   &)
%                                         (   7 <=>;  14  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   4 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :   10 (   8 usr;   5 prp; 0-2 aty)
%            Number of functors    :   14 (  14 usr;   8 con; 0-2 aty)
%            Number of variables   :   78 (  62   !;  16   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f371,plain,
    $false,
    inference(avatar_sat_refutation,[],[f271,f274,f329,f340,f370]) ).

fof(f370,plain,
    ( ~ spl12_12
    | spl12_16 ),
    inference(avatar_contradiction_clause,[],[f369]) ).

fof(f369,plain,
    ( $false
    | ~ spl12_12
    | spl12_16 ),
    inference(subsumption_resolution,[],[f368,f97]) ).

fof(f97,plain,
    aElement0(xx),
    inference(cnf_transformation,[],[f30]) ).

fof(f30,axiom,
    ( aElement0(xy)
    & aElement0(xx) ),
    file('/export/starexec/sandbox/tmp/tmp.2LW3VeXfZT/Vampire---4.8_18437',m__1217) ).

fof(f368,plain,
    ( ~ aElement0(xx)
    | ~ spl12_12
    | spl12_16 ),
    inference(subsumption_resolution,[],[f356,f270]) ).

fof(f270,plain,
    ( aElementOf0(sdtpldt0(sdtasdt0(xx,xb),sdtasdt0(xx,smndt0(sz10))),xI)
    | ~ spl12_12 ),
    inference(avatar_component_clause,[],[f268]) ).

fof(f268,plain,
    ( spl12_12
  <=> aElementOf0(sdtpldt0(sdtasdt0(xx,xb),sdtasdt0(xx,smndt0(sz10))),xI) ),
    introduced(avatar_definition,[new_symbols(naming,[spl12_12])]) ).

fof(f356,plain,
    ( ~ aElementOf0(sdtpldt0(sdtasdt0(xx,xb),sdtasdt0(xx,smndt0(sz10))),xI)
    | ~ aElement0(xx)
    | spl12_16 ),
    inference(superposition,[],[f328,f129]) ).

fof(f129,plain,
    ! [X0] :
      ( smndt0(X0) = sdtasdt0(X0,smndt0(sz10))
      | ~ aElement0(X0) ),
    inference(cnf_transformation,[],[f48]) ).

fof(f48,plain,
    ! [X0] :
      ( ( smndt0(X0) = sdtasdt0(X0,smndt0(sz10))
        & smndt0(X0) = sdtasdt0(smndt0(sz10),X0) )
      | ~ aElement0(X0) ),
    inference(ennf_transformation,[],[f15]) ).

fof(f15,axiom,
    ! [X0] :
      ( aElement0(X0)
     => ( smndt0(X0) = sdtasdt0(X0,smndt0(sz10))
        & smndt0(X0) = sdtasdt0(smndt0(sz10),X0) ) ),
    file('/export/starexec/sandbox/tmp/tmp.2LW3VeXfZT/Vampire---4.8_18437',mMulMnOne) ).

fof(f328,plain,
    ( ~ aElementOf0(sdtpldt0(sdtasdt0(xx,xb),smndt0(xx)),xI)
    | spl12_16 ),
    inference(avatar_component_clause,[],[f326]) ).

fof(f326,plain,
    ( spl12_16
  <=> aElementOf0(sdtpldt0(sdtasdt0(xx,xb),smndt0(xx)),xI) ),
    introduced(avatar_definition,[new_symbols(naming,[spl12_16])]) ).

fof(f340,plain,
    spl12_15,
    inference(avatar_contradiction_clause,[],[f339]) ).

fof(f339,plain,
    ( $false
    | spl12_15 ),
    inference(subsumption_resolution,[],[f338,f94]) ).

fof(f94,plain,
    aIdeal0(xI),
    inference(cnf_transformation,[],[f28]) ).

fof(f28,axiom,
    ( aIdeal0(xJ)
    & aIdeal0(xI) ),
    file('/export/starexec/sandbox/tmp/tmp.2LW3VeXfZT/Vampire---4.8_18437',m__1205) ).

fof(f338,plain,
    ( ~ aIdeal0(xI)
    | spl12_15 ),
    inference(subsumption_resolution,[],[f337,f99]) ).

fof(f99,plain,
    aElementOf0(xa,xI),
    inference(cnf_transformation,[],[f31]) ).

fof(f31,axiom,
    ( sz10 = sdtpldt0(xa,xb)
    & aElementOf0(xb,xJ)
    & aElementOf0(xa,xI) ),
    file('/export/starexec/sandbox/tmp/tmp.2LW3VeXfZT/Vampire---4.8_18437',m__1294) ).

fof(f337,plain,
    ( ~ aElementOf0(xa,xI)
    | ~ aIdeal0(xI)
    | spl12_15 ),
    inference(subsumption_resolution,[],[f334,f98]) ).

fof(f98,plain,
    aElement0(xy),
    inference(cnf_transformation,[],[f30]) ).

fof(f334,plain,
    ( ~ aElement0(xy)
    | ~ aElementOf0(xa,xI)
    | ~ aIdeal0(xI)
    | spl12_15 ),
    inference(resolution,[],[f324,f108]) ).

fof(f108,plain,
    ! [X0,X4,X5] :
      ( aElementOf0(sdtasdt0(X5,X4),X0)
      | ~ aElement0(X5)
      | ~ aElementOf0(X4,X0)
      | ~ aIdeal0(X0) ),
    inference(cnf_transformation,[],[f82]) ).

fof(f82,plain,
    ! [X0] :
      ( ( aIdeal0(X0)
        | ( ( ( ~ aElementOf0(sdtasdt0(sK3(X0),sK2(X0)),X0)
              & aElement0(sK3(X0)) )
            | ( ~ aElementOf0(sdtpldt0(sK2(X0),sK4(X0)),X0)
              & aElementOf0(sK4(X0),X0) ) )
          & aElementOf0(sK2(X0),X0) )
        | ~ aSet0(X0) )
      & ( ( ! [X4] :
              ( ( ! [X5] :
                    ( aElementOf0(sdtasdt0(X5,X4),X0)
                    | ~ aElement0(X5) )
                & ! [X6] :
                    ( aElementOf0(sdtpldt0(X4,X6),X0)
                    | ~ aElementOf0(X6,X0) ) )
              | ~ aElementOf0(X4,X0) )
          & aSet0(X0) )
        | ~ aIdeal0(X0) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK2,sK3,sK4])],[f78,f81,f80,f79]) ).

fof(f79,plain,
    ! [X0] :
      ( ? [X1] :
          ( ( ? [X2] :
                ( ~ aElementOf0(sdtasdt0(X2,X1),X0)
                & aElement0(X2) )
            | ? [X3] :
                ( ~ aElementOf0(sdtpldt0(X1,X3),X0)
                & aElementOf0(X3,X0) ) )
          & aElementOf0(X1,X0) )
     => ( ( ? [X2] :
              ( ~ aElementOf0(sdtasdt0(X2,sK2(X0)),X0)
              & aElement0(X2) )
          | ? [X3] :
              ( ~ aElementOf0(sdtpldt0(sK2(X0),X3),X0)
              & aElementOf0(X3,X0) ) )
        & aElementOf0(sK2(X0),X0) ) ),
    introduced(choice_axiom,[]) ).

fof(f80,plain,
    ! [X0] :
      ( ? [X2] :
          ( ~ aElementOf0(sdtasdt0(X2,sK2(X0)),X0)
          & aElement0(X2) )
     => ( ~ aElementOf0(sdtasdt0(sK3(X0),sK2(X0)),X0)
        & aElement0(sK3(X0)) ) ),
    introduced(choice_axiom,[]) ).

fof(f81,plain,
    ! [X0] :
      ( ? [X3] :
          ( ~ aElementOf0(sdtpldt0(sK2(X0),X3),X0)
          & aElementOf0(X3,X0) )
     => ( ~ aElementOf0(sdtpldt0(sK2(X0),sK4(X0)),X0)
        & aElementOf0(sK4(X0),X0) ) ),
    introduced(choice_axiom,[]) ).

fof(f78,plain,
    ! [X0] :
      ( ( aIdeal0(X0)
        | ? [X1] :
            ( ( ? [X2] :
                  ( ~ aElementOf0(sdtasdt0(X2,X1),X0)
                  & aElement0(X2) )
              | ? [X3] :
                  ( ~ aElementOf0(sdtpldt0(X1,X3),X0)
                  & aElementOf0(X3,X0) ) )
            & aElementOf0(X1,X0) )
        | ~ aSet0(X0) )
      & ( ( ! [X4] :
              ( ( ! [X5] :
                    ( aElementOf0(sdtasdt0(X5,X4),X0)
                    | ~ aElement0(X5) )
                & ! [X6] :
                    ( aElementOf0(sdtpldt0(X4,X6),X0)
                    | ~ aElementOf0(X6,X0) ) )
              | ~ aElementOf0(X4,X0) )
          & aSet0(X0) )
        | ~ aIdeal0(X0) ) ),
    inference(rectify,[],[f77]) ).

fof(f77,plain,
    ! [X0] :
      ( ( aIdeal0(X0)
        | ? [X1] :
            ( ( ? [X2] :
                  ( ~ aElementOf0(sdtasdt0(X2,X1),X0)
                  & aElement0(X2) )
              | ? [X3] :
                  ( ~ aElementOf0(sdtpldt0(X1,X3),X0)
                  & aElementOf0(X3,X0) ) )
            & aElementOf0(X1,X0) )
        | ~ aSet0(X0) )
      & ( ( ! [X1] :
              ( ( ! [X2] :
                    ( aElementOf0(sdtasdt0(X2,X1),X0)
                    | ~ aElement0(X2) )
                & ! [X3] :
                    ( aElementOf0(sdtpldt0(X1,X3),X0)
                    | ~ aElementOf0(X3,X0) ) )
              | ~ aElementOf0(X1,X0) )
          & aSet0(X0) )
        | ~ aIdeal0(X0) ) ),
    inference(flattening,[],[f76]) ).

fof(f76,plain,
    ! [X0] :
      ( ( aIdeal0(X0)
        | ? [X1] :
            ( ( ? [X2] :
                  ( ~ aElementOf0(sdtasdt0(X2,X1),X0)
                  & aElement0(X2) )
              | ? [X3] :
                  ( ~ aElementOf0(sdtpldt0(X1,X3),X0)
                  & aElementOf0(X3,X0) ) )
            & aElementOf0(X1,X0) )
        | ~ aSet0(X0) )
      & ( ( ! [X1] :
              ( ( ! [X2] :
                    ( aElementOf0(sdtasdt0(X2,X1),X0)
                    | ~ aElement0(X2) )
                & ! [X3] :
                    ( aElementOf0(sdtpldt0(X1,X3),X0)
                    | ~ aElementOf0(X3,X0) ) )
              | ~ aElementOf0(X1,X0) )
          & aSet0(X0) )
        | ~ aIdeal0(X0) ) ),
    inference(nnf_transformation,[],[f43]) ).

fof(f43,plain,
    ! [X0] :
      ( aIdeal0(X0)
    <=> ( ! [X1] :
            ( ( ! [X2] :
                  ( aElementOf0(sdtasdt0(X2,X1),X0)
                  | ~ aElement0(X2) )
              & ! [X3] :
                  ( aElementOf0(sdtpldt0(X1,X3),X0)
                  | ~ aElementOf0(X3,X0) ) )
            | ~ aElementOf0(X1,X0) )
        & aSet0(X0) ) ),
    inference(ennf_transformation,[],[f38]) ).

fof(f38,plain,
    ! [X0] :
      ( aIdeal0(X0)
    <=> ( ! [X1] :
            ( aElementOf0(X1,X0)
           => ( ! [X2] :
                  ( aElement0(X2)
                 => aElementOf0(sdtasdt0(X2,X1),X0) )
              & ! [X3] :
                  ( aElementOf0(X3,X0)
                 => aElementOf0(sdtpldt0(X1,X3),X0) ) ) )
        & aSet0(X0) ) ),
    inference(rectify,[],[f24]) ).

fof(f24,axiom,
    ! [X0] :
      ( aIdeal0(X0)
    <=> ( ! [X1] :
            ( aElementOf0(X1,X0)
           => ( ! [X2] :
                  ( aElement0(X2)
                 => aElementOf0(sdtasdt0(X2,X1),X0) )
              & ! [X2] :
                  ( aElementOf0(X2,X0)
                 => aElementOf0(sdtpldt0(X1,X2),X0) ) ) )
        & aSet0(X0) ) ),
    file('/export/starexec/sandbox/tmp/tmp.2LW3VeXfZT/Vampire---4.8_18437',mDefIdeal) ).

fof(f324,plain,
    ( ~ aElementOf0(sdtasdt0(xy,xa),xI)
    | spl12_15 ),
    inference(avatar_component_clause,[],[f322]) ).

fof(f322,plain,
    ( spl12_15
  <=> aElementOf0(sdtasdt0(xy,xa),xI) ),
    introduced(avatar_definition,[new_symbols(naming,[spl12_15])]) ).

fof(f329,plain,
    ( ~ spl12_15
    | ~ spl12_16 ),
    inference(avatar_split_clause,[],[f320,f326,f322]) ).

fof(f320,plain,
    ( ~ aElementOf0(sdtpldt0(sdtasdt0(xx,xb),smndt0(xx)),xI)
    | ~ aElementOf0(sdtasdt0(xy,xa),xI) ),
    inference(subsumption_resolution,[],[f315,f94]) ).

fof(f315,plain,
    ( ~ aElementOf0(sdtpldt0(sdtasdt0(xx,xb),smndt0(xx)),xI)
    | ~ aElementOf0(sdtasdt0(xy,xa),xI)
    | ~ aIdeal0(xI) ),
    inference(resolution,[],[f159,f107]) ).

fof(f107,plain,
    ! [X0,X6,X4] :
      ( aElementOf0(sdtpldt0(X4,X6),X0)
      | ~ aElementOf0(X6,X0)
      | ~ aElementOf0(X4,X0)
      | ~ aIdeal0(X0) ),
    inference(cnf_transformation,[],[f82]) ).

fof(f159,plain,
    ~ aElementOf0(sdtpldt0(sdtasdt0(xy,xa),sdtpldt0(sdtasdt0(xx,xb),smndt0(xx))),xI),
    inference(forward_demodulation,[],[f158,f157]) ).

fof(f157,plain,
    sdtpldt0(sdtasdt0(xy,xa),sdtpldt0(sdtasdt0(xx,xb),smndt0(xx))) = sdtpldt0(sdtpldt0(sdtasdt0(xy,xa),sdtasdt0(xx,xb)),smndt0(xx)),
    inference(forward_demodulation,[],[f103,f102]) ).

fof(f102,plain,
    xw = sdtpldt0(sdtasdt0(xy,xa),sdtasdt0(xx,xb)),
    inference(cnf_transformation,[],[f32]) ).

fof(f32,axiom,
    xw = sdtpldt0(sdtasdt0(xy,xa),sdtasdt0(xx,xb)),
    file('/export/starexec/sandbox/tmp/tmp.2LW3VeXfZT/Vampire---4.8_18437',m__1319) ).

fof(f103,plain,
    sdtpldt0(xw,smndt0(xx)) = sdtpldt0(sdtasdt0(xy,xa),sdtpldt0(sdtasdt0(xx,xb),smndt0(xx))),
    inference(cnf_transformation,[],[f33]) ).

fof(f33,axiom,
    sdtpldt0(xw,smndt0(xx)) = sdtpldt0(sdtasdt0(xy,xa),sdtpldt0(sdtasdt0(xx,xb),smndt0(xx))),
    file('/export/starexec/sandbox/tmp/tmp.2LW3VeXfZT/Vampire---4.8_18437',m__1374) ).

fof(f158,plain,
    ~ aElementOf0(sdtpldt0(sdtpldt0(sdtasdt0(xy,xa),sdtasdt0(xx,xb)),smndt0(xx)),xI),
    inference(forward_demodulation,[],[f105,f102]) ).

fof(f105,plain,
    ~ aElementOf0(sdtpldt0(xw,smndt0(xx)),xI),
    inference(cnf_transformation,[],[f37]) ).

fof(f37,plain,
    ~ aElementOf0(sdtpldt0(xw,smndt0(xx)),xI),
    inference(flattening,[],[f36]) ).

fof(f36,negated_conjecture,
    ~ aElementOf0(sdtpldt0(xw,smndt0(xx)),xI),
    inference(negated_conjecture,[],[f35]) ).

fof(f35,conjecture,
    aElementOf0(sdtpldt0(xw,smndt0(xx)),xI),
    file('/export/starexec/sandbox/tmp/tmp.2LW3VeXfZT/Vampire---4.8_18437',m__) ).

fof(f274,plain,
    spl12_11,
    inference(avatar_contradiction_clause,[],[f273]) ).

fof(f273,plain,
    ( $false
    | spl12_11 ),
    inference(subsumption_resolution,[],[f272,f132]) ).

fof(f132,plain,
    aElement0(sz10),
    inference(cnf_transformation,[],[f3]) ).

fof(f3,axiom,
    aElement0(sz10),
    file('/export/starexec/sandbox/tmp/tmp.2LW3VeXfZT/Vampire---4.8_18437',mSortsC_01) ).

fof(f272,plain,
    ( ~ aElement0(sz10)
    | spl12_11 ),
    inference(resolution,[],[f266,f141]) ).

fof(f141,plain,
    ! [X0] :
      ( aElement0(smndt0(X0))
      | ~ aElement0(X0) ),
    inference(cnf_transformation,[],[f64]) ).

fof(f64,plain,
    ! [X0] :
      ( aElement0(smndt0(X0))
      | ~ aElement0(X0) ),
    inference(ennf_transformation,[],[f4]) ).

fof(f4,axiom,
    ! [X0] :
      ( aElement0(X0)
     => aElement0(smndt0(X0)) ),
    file('/export/starexec/sandbox/tmp/tmp.2LW3VeXfZT/Vampire---4.8_18437',mSortsU) ).

fof(f266,plain,
    ( ~ aElement0(smndt0(sz10))
    | spl12_11 ),
    inference(avatar_component_clause,[],[f264]) ).

fof(f264,plain,
    ( spl12_11
  <=> aElement0(smndt0(sz10)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl12_11])]) ).

fof(f271,plain,
    ( ~ spl12_11
    | spl12_12 ),
    inference(avatar_split_clause,[],[f262,f268,f264]) ).

fof(f262,plain,
    ( aElementOf0(sdtpldt0(sdtasdt0(xx,xb),sdtasdt0(xx,smndt0(sz10))),xI)
    | ~ aElement0(smndt0(sz10)) ),
    inference(subsumption_resolution,[],[f261,f97]) ).

fof(f261,plain,
    ( aElementOf0(sdtpldt0(sdtasdt0(xx,xb),sdtasdt0(xx,smndt0(sz10))),xI)
    | ~ aElement0(smndt0(sz10))
    | ~ aElement0(xx) ),
    inference(subsumption_resolution,[],[f259,f165]) ).

fof(f165,plain,
    aElement0(xb),
    inference(subsumption_resolution,[],[f164,f161]) ).

fof(f161,plain,
    aSet0(xJ),
    inference(resolution,[],[f95,f106]) ).

fof(f106,plain,
    ! [X0] :
      ( ~ aIdeal0(X0)
      | aSet0(X0) ),
    inference(cnf_transformation,[],[f82]) ).

fof(f95,plain,
    aIdeal0(xJ),
    inference(cnf_transformation,[],[f28]) ).

fof(f164,plain,
    ( aElement0(xb)
    | ~ aSet0(xJ) ),
    inference(resolution,[],[f100,f146]) ).

fof(f146,plain,
    ! [X0,X1] :
      ( ~ aElementOf0(X1,X0)
      | aElement0(X1)
      | ~ aSet0(X0) ),
    inference(cnf_transformation,[],[f67]) ).

fof(f67,plain,
    ! [X0] :
      ( ! [X1] :
          ( aElement0(X1)
          | ~ aElementOf0(X1,X0) )
      | ~ aSet0(X0) ),
    inference(ennf_transformation,[],[f20]) ).

fof(f20,axiom,
    ! [X0] :
      ( aSet0(X0)
     => ! [X1] :
          ( aElementOf0(X1,X0)
         => aElement0(X1) ) ),
    file('/export/starexec/sandbox/tmp/tmp.2LW3VeXfZT/Vampire---4.8_18437',mEOfElem) ).

fof(f100,plain,
    aElementOf0(xb,xJ),
    inference(cnf_transformation,[],[f31]) ).

fof(f259,plain,
    ( aElementOf0(sdtpldt0(sdtasdt0(xx,xb),sdtasdt0(xx,smndt0(sz10))),xI)
    | ~ aElement0(smndt0(sz10))
    | ~ aElement0(xb)
    | ~ aElement0(xx) ),
    inference(superposition,[],[f104,f136]) ).

fof(f136,plain,
    ! [X2,X0,X1] :
      ( sdtasdt0(X0,sdtpldt0(X1,X2)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2))
      | ~ aElement0(X2)
      | ~ aElement0(X1)
      | ~ aElement0(X0) ),
    inference(cnf_transformation,[],[f57]) ).

fof(f57,plain,
    ! [X0,X1,X2] :
      ( ( sdtasdt0(sdtpldt0(X1,X2),X0) = sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(X2,X0))
        & sdtasdt0(X0,sdtpldt0(X1,X2)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2)) )
      | ~ aElement0(X2)
      | ~ aElement0(X1)
      | ~ aElement0(X0) ),
    inference(flattening,[],[f56]) ).

fof(f56,plain,
    ! [X0,X1,X2] :
      ( ( sdtasdt0(sdtpldt0(X1,X2),X0) = sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(X2,X0))
        & sdtasdt0(X0,sdtpldt0(X1,X2)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2)) )
      | ~ aElement0(X2)
      | ~ aElement0(X1)
      | ~ aElement0(X0) ),
    inference(ennf_transformation,[],[f14]) ).

fof(f14,axiom,
    ! [X0,X1,X2] :
      ( ( aElement0(X2)
        & aElement0(X1)
        & aElement0(X0) )
     => ( sdtasdt0(sdtpldt0(X1,X2),X0) = sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(X2,X0))
        & sdtasdt0(X0,sdtpldt0(X1,X2)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2)) ) ),
    file('/export/starexec/sandbox/tmp/tmp.2LW3VeXfZT/Vampire---4.8_18437',mAMDistr) ).

fof(f104,plain,
    aElementOf0(sdtasdt0(xx,sdtpldt0(xb,smndt0(sz10))),xI),
    inference(cnf_transformation,[],[f34]) ).

fof(f34,axiom,
    aElementOf0(sdtasdt0(xx,sdtpldt0(xb,smndt0(sz10))),xI),
    file('/export/starexec/sandbox/tmp/tmp.2LW3VeXfZT/Vampire---4.8_18437',m__1393) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem    : RNG098+1 : TPTP v8.1.2. Released v4.0.0.
% 0.07/0.15  % 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 : n024.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 18:17:23 EDT 2024
% 0.14/0.35  % CPUTime    : 
% 0.14/0.35  This is a FOF_THM_RFO_SEQ problem
% 0.14/0.36  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.2LW3VeXfZT/Vampire---4.8_18437
% 0.57/0.74  % (18546)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 (2996ds/34Mi)
% 0.57/0.75  % (18553)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 (2996ds/56Mi)
% 0.57/0.75  % (18549)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2996ds/33Mi)
% 0.57/0.75  % (18548)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.57/0.75  % (18550)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 (2996ds/34Mi)
% 0.57/0.75  % (18551)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2996ds/45Mi)
% 0.57/0.75  % (18547)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 (2996ds/51Mi)
% 0.57/0.75  % (18552)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 (2996ds/83Mi)
% 0.57/0.75  % (18550)Refutation not found, incomplete strategy% (18550)------------------------------
% 0.57/0.75  % (18550)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.75  % (18550)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.75  
% 0.57/0.75  % (18550)Memory used [KB]: 1140
% 0.57/0.75  % (18550)Time elapsed: 0.005 s
% 0.57/0.75  % (18550)Instructions burned: 7 (million)
% 0.57/0.75  % (18550)------------------------------
% 0.57/0.75  % (18550)------------------------------
% 0.57/0.75  % (18551)First to succeed.
% 0.57/0.75  % (18551)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-18545"
% 0.57/0.75  % (18551)Refutation found. Thanks to Tanya!
% 0.57/0.75  % SZS status Theorem for Vampire---4
% 0.57/0.75  % SZS output start Proof for Vampire---4
% See solution above
% 0.57/0.75  % (18551)------------------------------
% 0.57/0.75  % (18551)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.75  % (18551)Termination reason: Refutation
% 0.57/0.75  
% 0.57/0.75  % (18551)Memory used [KB]: 1175
% 0.57/0.75  % (18551)Time elapsed: 0.009 s
% 0.57/0.75  % (18551)Instructions burned: 13 (million)
% 0.57/0.75  % (18545)Success in time 0.393 s
% 0.60/0.75  % Vampire---4.8 exiting
%------------------------------------------------------------------------------