TSTP Solution File: RNG091+1 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : RNG091+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s

% Computer : n021.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 Aug 31 18:14:54 EDT 2022

% Result   : Theorem 2.68s 0.78s
% Output   : Refutation 2.68s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   14
%            Number of leaves      :   16
% Syntax   : Number of formulae    :   79 (  14 unt;   0 def)
%            Number of atoms       :  329 (  45 equ)
%            Maximal formula atoms :   20 (   4 avg)
%            Number of connectives :  386 ( 136   ~; 139   |;  80   &)
%                                         (  16 <=>;  15  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   15 (   6 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :   11 (   9 usr;   4 prp; 0-3 aty)
%            Number of functors    :   17 (  17 usr;   9 con; 0-3 aty)
%            Number of variables   :  172 ( 138   !;  34   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f643,plain,
    $false,
    inference(avatar_sat_refutation,[],[f146,f194,f626,f642]) ).

fof(f642,plain,
    ( spl9_2
    | ~ spl9_3 ),
    inference(avatar_contradiction_clause,[],[f641]) ).

fof(f641,plain,
    ( $false
    | spl9_2
    | ~ spl9_3 ),
    inference(subsumption_resolution,[],[f640,f185]) ).

fof(f185,plain,
    ( sP1(xJ,xI)
    | ~ spl9_3 ),
    inference(avatar_component_clause,[],[f184]) ).

fof(f184,plain,
    ( spl9_3
  <=> sP1(xJ,xI) ),
    introduced(avatar_definition,[new_symbols(naming,[spl9_3])]) ).

fof(f640,plain,
    ( ~ sP1(xJ,xI)
    | spl9_2
    | ~ spl9_3 ),
    inference(resolution,[],[f637,f136]) ).

fof(f136,plain,
    ! [X0,X1] :
      ( sP0(sdtpldt1(X1,X0),X1,X0)
      | ~ sP1(X0,X1) ),
    inference(equality_resolution,[],[f117]) ).

fof(f117,plain,
    ! [X2,X0,X1] :
      ( sP0(X2,X1,X0)
      | sdtpldt1(X1,X0) != X2
      | ~ sP1(X0,X1) ),
    inference(cnf_transformation,[],[f79]) ).

fof(f79,plain,
    ! [X0,X1] :
      ( ! [X2] :
          ( ( sdtpldt1(X1,X0) = X2
            | ~ sP0(X2,X1,X0) )
          & ( sP0(X2,X1,X0)
            | sdtpldt1(X1,X0) != X2 ) )
      | ~ sP1(X0,X1) ),
    inference(rectify,[],[f78]) ).

fof(f78,plain,
    ! [X1,X0] :
      ( ! [X2] :
          ( ( sdtpldt1(X0,X1) = X2
            | ~ sP0(X2,X0,X1) )
          & ( sP0(X2,X0,X1)
            | sdtpldt1(X0,X1) != X2 ) )
      | ~ sP1(X1,X0) ),
    inference(nnf_transformation,[],[f69]) ).

fof(f69,plain,
    ! [X1,X0] :
      ( ! [X2] :
          ( sdtpldt1(X0,X1) = X2
        <=> sP0(X2,X0,X1) )
      | ~ sP1(X1,X0) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).

fof(f637,plain,
    ( ! [X0] : ~ sP0(X0,xI,xJ)
    | spl9_2
    | ~ spl9_3 ),
    inference(subsumption_resolution,[],[f636,f609]) ).

fof(f609,plain,
    ! [X6] :
      ( ~ sP0(X6,xI,xJ)
      | aElementOf0(sdtpldt0(xx,xy),X6) ),
    inference(resolution,[],[f451,f113]) ).

fof(f113,plain,
    aElementOf0(sdtpldt0(xk,xm),xI),
    inference(cnf_transformation,[],[f29]) ).

fof(f29,axiom,
    ( aElementOf0(sdtpldt0(xk,xm),xI)
    & aElementOf0(sdtpldt0(xl,xn),xJ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__994) ).

fof(f451,plain,
    ! [X8,X9] :
      ( ~ aElementOf0(sdtpldt0(xk,xm),X8)
      | aElementOf0(sdtpldt0(xx,xy),X9)
      | ~ sP0(X9,X8,xJ) ),
    inference(resolution,[],[f230,f112]) ).

fof(f112,plain,
    aElementOf0(sdtpldt0(xl,xn),xJ),
    inference(cnf_transformation,[],[f29]) ).

fof(f230,plain,
    ! [X6,X7,X5] :
      ( ~ aElementOf0(sdtpldt0(xl,xn),X7)
      | ~ aElementOf0(sdtpldt0(xk,xm),X6)
      | ~ sP0(X5,X6,X7)
      | aElementOf0(sdtpldt0(xx,xy),X5) ),
    inference(superposition,[],[f137,f130]) ).

fof(f130,plain,
    sdtpldt0(xx,xy) = sdtpldt0(sdtpldt0(xk,xm),sdtpldt0(xl,xn)),
    inference(cnf_transformation,[],[f31]) ).

fof(f31,axiom,
    sdtpldt0(xx,xy) = sdtpldt0(sdtpldt0(xk,xm),sdtpldt0(xl,xn)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1061) ).

fof(f137,plain,
    ! [X2,X10,X0,X1,X9] :
      ( aElementOf0(sdtpldt0(X10,X9),X0)
      | ~ sP0(X0,X1,X2)
      | ~ aElementOf0(X9,X2)
      | ~ aElementOf0(X10,X1) ),
    inference(equality_resolution,[],[f122]) ).

fof(f122,plain,
    ! [X2,X10,X0,X1,X8,X9] :
      ( aElementOf0(X8,X0)
      | ~ aElementOf0(X10,X1)
      | sdtpldt0(X10,X9) != X8
      | ~ aElementOf0(X9,X2)
      | ~ sP0(X0,X1,X2) ),
    inference(cnf_transformation,[],[f86]) ).

fof(f86,plain,
    ! [X0,X1,X2] :
      ( ( sP0(X0,X1,X2)
        | ~ aSet0(X0)
        | ( ( ! [X4,X5] :
                ( ~ aElementOf0(X5,X1)
                | sK4(X0,X1,X2) != sdtpldt0(X5,X4)
                | ~ aElementOf0(X4,X2) )
            | ~ aElementOf0(sK4(X0,X1,X2),X0) )
          & ( ( aElementOf0(sK6(X0,X1,X2),X1)
              & sdtpldt0(sK6(X0,X1,X2),sK5(X0,X1,X2)) = sK4(X0,X1,X2)
              & aElementOf0(sK5(X0,X1,X2),X2) )
            | aElementOf0(sK4(X0,X1,X2),X0) ) ) )
      & ( ( aSet0(X0)
          & ! [X8] :
              ( ( aElementOf0(X8,X0)
                | ! [X9,X10] :
                    ( ~ aElementOf0(X10,X1)
                    | sdtpldt0(X10,X9) != X8
                    | ~ aElementOf0(X9,X2) ) )
              & ( ( aElementOf0(sK8(X1,X2,X8),X1)
                  & sdtpldt0(sK8(X1,X2,X8),sK7(X1,X2,X8)) = X8
                  & aElementOf0(sK7(X1,X2,X8),X2) )
                | ~ aElementOf0(X8,X0) ) ) )
        | ~ sP0(X0,X1,X2) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK4,sK5,sK6,sK7,sK8])],[f82,f85,f84,f83]) ).

fof(f83,plain,
    ! [X0,X1,X2] :
      ( ? [X3] :
          ( ( ! [X4,X5] :
                ( ~ aElementOf0(X5,X1)
                | sdtpldt0(X5,X4) != X3
                | ~ aElementOf0(X4,X2) )
            | ~ aElementOf0(X3,X0) )
          & ( ? [X6,X7] :
                ( aElementOf0(X7,X1)
                & sdtpldt0(X7,X6) = X3
                & aElementOf0(X6,X2) )
            | aElementOf0(X3,X0) ) )
     => ( ( ! [X5,X4] :
              ( ~ aElementOf0(X5,X1)
              | sK4(X0,X1,X2) != sdtpldt0(X5,X4)
              | ~ aElementOf0(X4,X2) )
          | ~ aElementOf0(sK4(X0,X1,X2),X0) )
        & ( ? [X7,X6] :
              ( aElementOf0(X7,X1)
              & sdtpldt0(X7,X6) = sK4(X0,X1,X2)
              & aElementOf0(X6,X2) )
          | aElementOf0(sK4(X0,X1,X2),X0) ) ) ),
    introduced(choice_axiom,[]) ).

fof(f84,plain,
    ! [X0,X1,X2] :
      ( ? [X7,X6] :
          ( aElementOf0(X7,X1)
          & sdtpldt0(X7,X6) = sK4(X0,X1,X2)
          & aElementOf0(X6,X2) )
     => ( aElementOf0(sK6(X0,X1,X2),X1)
        & sdtpldt0(sK6(X0,X1,X2),sK5(X0,X1,X2)) = sK4(X0,X1,X2)
        & aElementOf0(sK5(X0,X1,X2),X2) ) ),
    introduced(choice_axiom,[]) ).

fof(f85,plain,
    ! [X1,X2,X8] :
      ( ? [X11,X12] :
          ( aElementOf0(X12,X1)
          & sdtpldt0(X12,X11) = X8
          & aElementOf0(X11,X2) )
     => ( aElementOf0(sK8(X1,X2,X8),X1)
        & sdtpldt0(sK8(X1,X2,X8),sK7(X1,X2,X8)) = X8
        & aElementOf0(sK7(X1,X2,X8),X2) ) ),
    introduced(choice_axiom,[]) ).

fof(f82,plain,
    ! [X0,X1,X2] :
      ( ( sP0(X0,X1,X2)
        | ~ aSet0(X0)
        | ? [X3] :
            ( ( ! [X4,X5] :
                  ( ~ aElementOf0(X5,X1)
                  | sdtpldt0(X5,X4) != X3
                  | ~ aElementOf0(X4,X2) )
              | ~ aElementOf0(X3,X0) )
            & ( ? [X6,X7] :
                  ( aElementOf0(X7,X1)
                  & sdtpldt0(X7,X6) = X3
                  & aElementOf0(X6,X2) )
              | aElementOf0(X3,X0) ) ) )
      & ( ( aSet0(X0)
          & ! [X8] :
              ( ( aElementOf0(X8,X0)
                | ! [X9,X10] :
                    ( ~ aElementOf0(X10,X1)
                    | sdtpldt0(X10,X9) != X8
                    | ~ aElementOf0(X9,X2) ) )
              & ( ? [X11,X12] :
                    ( aElementOf0(X12,X1)
                    & sdtpldt0(X12,X11) = X8
                    & aElementOf0(X11,X2) )
                | ~ aElementOf0(X8,X0) ) ) )
        | ~ sP0(X0,X1,X2) ) ),
    inference(rectify,[],[f81]) ).

fof(f81,plain,
    ! [X2,X0,X1] :
      ( ( sP0(X2,X0,X1)
        | ~ aSet0(X2)
        | ? [X3] :
            ( ( ! [X4,X5] :
                  ( ~ aElementOf0(X5,X0)
                  | sdtpldt0(X5,X4) != X3
                  | ~ aElementOf0(X4,X1) )
              | ~ aElementOf0(X3,X2) )
            & ( ? [X4,X5] :
                  ( aElementOf0(X5,X0)
                  & sdtpldt0(X5,X4) = X3
                  & aElementOf0(X4,X1) )
              | aElementOf0(X3,X2) ) ) )
      & ( ( aSet0(X2)
          & ! [X3] :
              ( ( aElementOf0(X3,X2)
                | ! [X4,X5] :
                    ( ~ aElementOf0(X5,X0)
                    | sdtpldt0(X5,X4) != X3
                    | ~ aElementOf0(X4,X1) ) )
              & ( ? [X4,X5] :
                    ( aElementOf0(X5,X0)
                    & sdtpldt0(X5,X4) = X3
                    & aElementOf0(X4,X1) )
                | ~ aElementOf0(X3,X2) ) ) )
        | ~ sP0(X2,X0,X1) ) ),
    inference(flattening,[],[f80]) ).

fof(f80,plain,
    ! [X2,X0,X1] :
      ( ( sP0(X2,X0,X1)
        | ~ aSet0(X2)
        | ? [X3] :
            ( ( ! [X4,X5] :
                  ( ~ aElementOf0(X5,X0)
                  | sdtpldt0(X5,X4) != X3
                  | ~ aElementOf0(X4,X1) )
              | ~ aElementOf0(X3,X2) )
            & ( ? [X4,X5] :
                  ( aElementOf0(X5,X0)
                  & sdtpldt0(X5,X4) = X3
                  & aElementOf0(X4,X1) )
              | aElementOf0(X3,X2) ) ) )
      & ( ( aSet0(X2)
          & ! [X3] :
              ( ( aElementOf0(X3,X2)
                | ! [X4,X5] :
                    ( ~ aElementOf0(X5,X0)
                    | sdtpldt0(X5,X4) != X3
                    | ~ aElementOf0(X4,X1) ) )
              & ( ? [X4,X5] :
                    ( aElementOf0(X5,X0)
                    & sdtpldt0(X5,X4) = X3
                    & aElementOf0(X4,X1) )
                | ~ aElementOf0(X3,X2) ) ) )
        | ~ sP0(X2,X0,X1) ) ),
    inference(nnf_transformation,[],[f68]) ).

fof(f68,plain,
    ! [X2,X0,X1] :
      ( sP0(X2,X0,X1)
    <=> ( aSet0(X2)
        & ! [X3] :
            ( aElementOf0(X3,X2)
          <=> ? [X4,X5] :
                ( aElementOf0(X5,X0)
                & sdtpldt0(X5,X4) = X3
                & aElementOf0(X4,X1) ) ) ) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).

fof(f636,plain,
    ( ! [X0] :
        ( ~ aElementOf0(sdtpldt0(xx,xy),X0)
        | ~ sP0(X0,xI,xJ) )
    | spl9_2
    | ~ spl9_3 ),
    inference(subsumption_resolution,[],[f635,f185]) ).

fof(f635,plain,
    ( ! [X0] :
        ( ~ sP0(X0,xI,xJ)
        | ~ sP1(xJ,xI)
        | ~ aElementOf0(sdtpldt0(xx,xy),X0) )
    | spl9_2 ),
    inference(superposition,[],[f145,f118]) ).

fof(f118,plain,
    ! [X2,X0,X1] :
      ( sdtpldt1(X1,X0) = X2
      | ~ sP0(X2,X1,X0)
      | ~ sP1(X0,X1) ),
    inference(cnf_transformation,[],[f79]) ).

fof(f145,plain,
    ( ~ aElementOf0(sdtpldt0(xx,xy),sdtpldt1(xI,xJ))
    | spl9_2 ),
    inference(avatar_component_clause,[],[f143]) ).

fof(f143,plain,
    ( spl9_2
  <=> aElementOf0(sdtpldt0(xx,xy),sdtpldt1(xI,xJ)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl9_2])]) ).

fof(f626,plain,
    ( spl9_1
    | ~ spl9_3 ),
    inference(avatar_contradiction_clause,[],[f625]) ).

fof(f625,plain,
    ( $false
    | spl9_1
    | ~ spl9_3 ),
    inference(subsumption_resolution,[],[f624,f185]) ).

fof(f624,plain,
    ( ~ sP1(xJ,xI)
    | spl9_1
    | ~ spl9_3 ),
    inference(resolution,[],[f606,f136]) ).

fof(f606,plain,
    ( ! [X2] : ~ sP0(X2,xI,xJ)
    | spl9_1
    | ~ spl9_3 ),
    inference(subsumption_resolution,[],[f604,f204]) ).

fof(f204,plain,
    ( ! [X0] :
        ( ~ aElementOf0(sdtasdt0(xz,xx),X0)
        | ~ sP0(X0,xI,xJ) )
    | spl9_1
    | ~ spl9_3 ),
    inference(subsumption_resolution,[],[f201,f185]) ).

fof(f201,plain,
    ( ! [X0] :
        ( ~ sP1(xJ,xI)
        | ~ sP0(X0,xI,xJ)
        | ~ aElementOf0(sdtasdt0(xz,xx),X0) )
    | spl9_1 ),
    inference(superposition,[],[f141,f118]) ).

fof(f141,plain,
    ( ~ aElementOf0(sdtasdt0(xz,xx),sdtpldt1(xI,xJ))
    | spl9_1 ),
    inference(avatar_component_clause,[],[f139]) ).

fof(f139,plain,
    ( spl9_1
  <=> aElementOf0(sdtasdt0(xz,xx),sdtpldt1(xI,xJ)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl9_1])]) ).

fof(f604,plain,
    ! [X2] :
      ( aElementOf0(sdtasdt0(xz,xx),X2)
      | ~ sP0(X2,xI,xJ) ),
    inference(resolution,[],[f447,f98]) ).

fof(f98,plain,
    aElementOf0(sdtasdt0(xz,xk),xI),
    inference(cnf_transformation,[],[f30]) ).

fof(f30,axiom,
    ( aElementOf0(sdtasdt0(xz,xl),xJ)
    & aElementOf0(sdtasdt0(xz,xk),xI) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1021) ).

fof(f447,plain,
    ! [X3,X4] :
      ( ~ aElementOf0(sdtasdt0(xz,xk),X3)
      | ~ sP0(X4,X3,xJ)
      | aElementOf0(sdtasdt0(xz,xx),X4) ),
    inference(resolution,[],[f213,f99]) ).

fof(f99,plain,
    aElementOf0(sdtasdt0(xz,xl),xJ),
    inference(cnf_transformation,[],[f30]) ).

fof(f213,plain,
    ! [X6,X7,X5] :
      ( ~ aElementOf0(sdtasdt0(xz,xl),X7)
      | ~ aElementOf0(sdtasdt0(xz,xk),X6)
      | aElementOf0(sdtasdt0(xz,xx),X5)
      | ~ sP0(X5,X6,X7) ),
    inference(superposition,[],[f137,f100]) ).

fof(f100,plain,
    sdtasdt0(xz,xx) = sdtpldt0(sdtasdt0(xz,xk),sdtasdt0(xz,xl)),
    inference(cnf_transformation,[],[f32]) ).

fof(f32,axiom,
    sdtasdt0(xz,xx) = sdtpldt0(sdtasdt0(xz,xk),sdtasdt0(xz,xl)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1098) ).

fof(f194,plain,
    spl9_3,
    inference(avatar_contradiction_clause,[],[f193]) ).

fof(f193,plain,
    ( $false
    | spl9_3 ),
    inference(subsumption_resolution,[],[f192,f147]) ).

fof(f147,plain,
    aSet0(xI),
    inference(resolution,[],[f91,f93]) ).

fof(f93,plain,
    ! [X0] :
      ( ~ aIdeal0(X0)
      | aSet0(X0) ),
    inference(cnf_transformation,[],[f72]) ).

fof(f72,plain,
    ! [X0] :
      ( ( ! [X1] :
            ( ( ! [X2] :
                  ( ~ aElement0(X2)
                  | aElementOf0(sdtasdt0(X2,X1),X0) )
              & ! [X3] :
                  ( ~ aElementOf0(X3,X0)
                  | aElementOf0(sdtpldt0(X1,X3),X0) ) )
            | ~ aElementOf0(X1,X0) )
        & aSet0(X0) )
      | ~ aIdeal0(X0) ),
    inference(rectify,[],[f51]) ).

fof(f51,plain,
    ! [X0] :
      ( ( ! [X1] :
            ( ( ! [X3] :
                  ( ~ aElement0(X3)
                  | aElementOf0(sdtasdt0(X3,X1),X0) )
              & ! [X2] :
                  ( ~ aElementOf0(X2,X0)
                  | aElementOf0(sdtpldt0(X1,X2),X0) ) )
            | ~ aElementOf0(X1,X0) )
        & aSet0(X0) )
      | ~ aIdeal0(X0) ),
    inference(ennf_transformation,[],[f46]) ).

fof(f46,plain,
    ! [X0] :
      ( aIdeal0(X0)
     => ( aSet0(X0)
        & ! [X1] :
            ( aElementOf0(X1,X0)
           => ( ! [X2] :
                  ( aElementOf0(X2,X0)
                 => aElementOf0(sdtpldt0(X1,X2),X0) )
              & ! [X3] :
                  ( aElement0(X3)
                 => aElementOf0(sdtasdt0(X3,X1),X0) ) ) ) ) ),
    inference(unused_predicate_definition_removal,[],[f37]) ).

fof(f37,plain,
    ! [X0] :
      ( ( aSet0(X0)
        & ! [X1] :
            ( aElementOf0(X1,X0)
           => ( ! [X2] :
                  ( aElementOf0(X2,X0)
                 => aElementOf0(sdtpldt0(X1,X2),X0) )
              & ! [X3] :
                  ( aElement0(X3)
                 => aElementOf0(sdtasdt0(X3,X1),X0) ) ) ) )
    <=> aIdeal0(X0) ),
    inference(rectify,[],[f24]) ).

fof(f24,axiom,
    ! [X0] :
      ( aIdeal0(X0)
    <=> ( ! [X1] :
            ( aElementOf0(X1,X0)
           => ( ! [X2] :
                  ( aElementOf0(X2,X0)
                 => aElementOf0(sdtpldt0(X1,X2),X0) )
              & ! [X2] :
                  ( aElement0(X2)
                 => aElementOf0(sdtasdt0(X2,X1),X0) ) ) )
        & aSet0(X0) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDefIdeal) ).

fof(f91,plain,
    aIdeal0(xI),
    inference(cnf_transformation,[],[f25]) ).

fof(f25,axiom,
    ( aIdeal0(xJ)
    & aIdeal0(xI) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__870) ).

fof(f192,plain,
    ( ~ aSet0(xI)
    | spl9_3 ),
    inference(subsumption_resolution,[],[f191,f148]) ).

fof(f148,plain,
    aSet0(xJ),
    inference(resolution,[],[f92,f93]) ).

fof(f92,plain,
    aIdeal0(xJ),
    inference(cnf_transformation,[],[f25]) ).

fof(f191,plain,
    ( ~ aSet0(xJ)
    | ~ aSet0(xI)
    | spl9_3 ),
    inference(resolution,[],[f186,f128]) ).

fof(f128,plain,
    ! [X0,X1] :
      ( sP1(X0,X1)
      | ~ aSet0(X1)
      | ~ aSet0(X0) ),
    inference(cnf_transformation,[],[f87]) ).

fof(f87,plain,
    ! [X0,X1] :
      ( sP1(X0,X1)
      | ~ aSet0(X1)
      | ~ aSet0(X0) ),
    inference(rectify,[],[f70]) ).

fof(f70,plain,
    ! [X1,X0] :
      ( sP1(X1,X0)
      | ~ aSet0(X0)
      | ~ aSet0(X1) ),
    inference(definition_folding,[],[f53,f69,f68]) ).

fof(f53,plain,
    ! [X1,X0] :
      ( ! [X2] :
          ( sdtpldt1(X0,X1) = X2
        <=> ( aSet0(X2)
            & ! [X3] :
                ( aElementOf0(X3,X2)
              <=> ? [X4,X5] :
                    ( aElementOf0(X5,X0)
                    & sdtpldt0(X5,X4) = X3
                    & aElementOf0(X4,X1) ) ) ) )
      | ~ aSet0(X0)
      | ~ aSet0(X1) ),
    inference(flattening,[],[f52]) ).

fof(f52,plain,
    ! [X0,X1] :
      ( ! [X2] :
          ( sdtpldt1(X0,X1) = X2
        <=> ( aSet0(X2)
            & ! [X3] :
                ( aElementOf0(X3,X2)
              <=> ? [X4,X5] :
                    ( aElementOf0(X5,X0)
                    & sdtpldt0(X5,X4) = X3
                    & aElementOf0(X4,X1) ) ) ) )
      | ~ aSet0(X0)
      | ~ aSet0(X1) ),
    inference(ennf_transformation,[],[f43]) ).

fof(f43,plain,
    ! [X0,X1] :
      ( ( aSet0(X0)
        & aSet0(X1) )
     => ! [X2] :
          ( sdtpldt1(X0,X1) = X2
        <=> ( aSet0(X2)
            & ! [X3] :
                ( aElementOf0(X3,X2)
              <=> ? [X4,X5] :
                    ( aElementOf0(X5,X0)
                    & sdtpldt0(X5,X4) = X3
                    & aElementOf0(X4,X1) ) ) ) ) ),
    inference(rectify,[],[f22]) ).

fof(f22,axiom,
    ! [X0,X1] :
      ( ( aSet0(X0)
        & aSet0(X1) )
     => ! [X2] :
          ( ( aSet0(X2)
            & ! [X3] :
                ( aElementOf0(X3,X2)
              <=> ? [X5,X4] :
                    ( aElementOf0(X4,X0)
                    & sdtpldt0(X4,X5) = X3
                    & aElementOf0(X5,X1) ) ) )
        <=> sdtpldt1(X0,X1) = X2 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDefSSum) ).

fof(f186,plain,
    ( ~ sP1(xJ,xI)
    | spl9_3 ),
    inference(avatar_component_clause,[],[f184]) ).

fof(f146,plain,
    ( ~ spl9_1
    | ~ spl9_2 ),
    inference(avatar_split_clause,[],[f107,f143,f139]) ).

fof(f107,plain,
    ( ~ aElementOf0(sdtpldt0(xx,xy),sdtpldt1(xI,xJ))
    | ~ aElementOf0(sdtasdt0(xz,xx),sdtpldt1(xI,xJ)) ),
    inference(cnf_transformation,[],[f59]) ).

fof(f59,plain,
    ( ~ aElementOf0(sdtasdt0(xz,xx),sdtpldt1(xI,xJ))
    | ~ aElementOf0(sdtpldt0(xx,xy),sdtpldt1(xI,xJ)) ),
    inference(ennf_transformation,[],[f34]) ).

fof(f34,negated_conjecture,
    ~ ( aElementOf0(sdtasdt0(xz,xx),sdtpldt1(xI,xJ))
      & aElementOf0(sdtpldt0(xx,xy),sdtpldt1(xI,xJ)) ),
    inference(negated_conjecture,[],[f33]) ).

fof(f33,conjecture,
    ( aElementOf0(sdtasdt0(xz,xx),sdtpldt1(xI,xJ))
    & aElementOf0(sdtpldt0(xx,xy),sdtpldt1(xI,xJ)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem    : RNG091+1 : TPTP v8.1.0. Released v4.0.0.
% 0.06/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.34  % Computer : n021.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit   : 300
% 0.13/0.34  % WCLimit    : 300
% 0.13/0.34  % DateTime   : Tue Aug 30 12:01:41 EDT 2022
% 0.13/0.34  % CPUTime    : 
% 0.20/0.55  % (26641)dis+10_1:1_av=off:sos=on:sp=reverse_arity:ss=included:st=2.0:to=lpo:urr=ec_only:i=45:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/45Mi)
% 0.20/0.55  % (26621)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.51/0.55  % (26633)lrs+10_1:1_drc=off:sp=reverse_frequency:spb=goal:to=lpo:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 1.51/0.56  % (26631)lrs+10_1:32_br=off:nm=16:sd=2:ss=axioms:st=2.0:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.51/0.57  % (26633)Instruction limit reached!
% 1.51/0.57  % (26633)------------------------------
% 1.51/0.57  % (26633)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.51/0.57  % (26633)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.51/0.57  % (26633)Termination reason: Unknown
% 1.51/0.57  % (26633)Termination phase: Saturation
% 1.51/0.57  
% 1.51/0.57  % (26633)Memory used [KB]: 6140
% 1.51/0.57  % (26633)Time elapsed: 0.080 s
% 1.51/0.57  % (26633)Instructions burned: 7 (million)
% 1.51/0.57  % (26633)------------------------------
% 1.51/0.57  % (26633)------------------------------
% 1.73/0.58  % (26629)lrs+10_1:2_br=off:nm=4:ss=included:urr=on:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 1.73/0.58  % (26629)Instruction limit reached!
% 1.73/0.58  % (26629)------------------------------
% 1.73/0.58  % (26629)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.73/0.58  % (26647)lrs-11_1:1_nm=0:sac=on:sd=4:ss=axioms:st=3.0:i=24:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/24Mi)
% 1.73/0.59  % (26623)dis+21_1:1_av=off:sos=on:sp=frequency:ss=included:to=lpo:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/15Mi)
% 1.73/0.59  % (26627)lrs+10_1:1_br=off:sos=on:ss=axioms:st=2.0:urr=on:i=33:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/33Mi)
% 1.73/0.59  % (26626)dis+10_1:1_newcnf=on:sgt=8:sos=on:ss=axioms:to=lpo:urr=on:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/49Mi)
% 1.73/0.60  % (26622)lrs+10_1:1024_nm=0:nwc=5.0:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 1.73/0.60  % (26629)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.73/0.60  % (26629)Termination reason: Unknown
% 1.73/0.60  % (26629)Termination phase: Saturation
% 1.73/0.60  
% 1.73/0.60  % (26629)Memory used [KB]: 6140
% 1.73/0.60  % (26629)Time elapsed: 0.156 s
% 1.73/0.60  % (26629)Instructions burned: 8 (million)
% 1.73/0.60  % (26629)------------------------------
% 1.73/0.60  % (26629)------------------------------
% 1.73/0.60  % (26624)dis+1010_1:50_awrs=decay:awrsf=128:nwc=10.0:s2pl=no:sp=frequency:ss=axioms:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 1.73/0.61  % (26628)lrs+10_1:1_ep=R:lcm=predicate:lma=on:sos=all:spb=goal:ss=included:i=12:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/12Mi)
% 1.73/0.61  % (26644)lrs+1011_1:1_fd=preordered:fsd=on:sos=on:thsq=on:thsqc=64:thsqd=32:uwa=ground:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.73/0.61  % (26645)dis+21_1:1_aac=none:abs=on:er=known:fde=none:fsr=off:nwc=5.0:s2a=on:s2at=4.0:sp=const_frequency:to=lpo:urr=ec_only:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 1.73/0.61  % (26628)Refutation not found, incomplete strategy% (26628)------------------------------
% 1.73/0.61  % (26628)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.73/0.61  % (26628)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.73/0.61  % (26628)Termination reason: Refutation not found, incomplete strategy
% 1.73/0.61  
% 1.73/0.61  % (26628)Memory used [KB]: 6268
% 1.73/0.61  % (26628)Time elapsed: 0.188 s
% 1.73/0.61  % (26628)Instructions burned: 8 (million)
% 1.73/0.61  % (26628)------------------------------
% 1.73/0.61  % (26628)------------------------------
% 1.73/0.61  % (26618)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 1.73/0.61  % (26619)lrs+10_1:1_gsp=on:sd=1:sgt=32:sos=on:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 1.73/0.61  % (26646)dis+2_3:1_aac=none:abs=on:ep=R:lcm=reverse:nwc=10.0:sos=on:sp=const_frequency:spb=units:urr=ec_only:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/8Mi)
% 1.73/0.62  % (26636)ott+1010_1:1_sd=2:sos=on:sp=occurrence:ss=axioms:urr=on:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 1.73/0.62  % (26620)dis+1002_1:1_aac=none:bd=off:sac=on:sos=on:spb=units:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 1.73/0.62  % (26636)Instruction limit reached!
% 1.73/0.62  % (26636)------------------------------
% 1.73/0.62  % (26636)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.73/0.62  % (26636)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.73/0.62  % (26636)Termination reason: Unknown
% 1.73/0.62  % (26636)Termination phase: Clausification
% 1.73/0.62  
% 1.73/0.62  % (26636)Memory used [KB]: 1407
% 1.73/0.62  % (26636)Time elapsed: 0.004 s
% 1.73/0.62  % (26636)Instructions burned: 2 (million)
% 1.73/0.62  % (26636)------------------------------
% 1.73/0.62  % (26636)------------------------------
% 1.73/0.62  % (26638)dis+1010_1:1_bs=on:ep=RS:erd=off:newcnf=on:nwc=10.0:s2a=on:sgt=32:ss=axioms:i=30:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/30Mi)
% 1.73/0.62  % (26623)Instruction limit reached!
% 1.73/0.62  % (26623)------------------------------
% 1.73/0.62  % (26623)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.73/0.62  % (26623)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.73/0.62  % (26623)Termination reason: Unknown
% 1.73/0.62  % (26623)Termination phase: Saturation
% 1.73/0.62  
% 1.73/0.62  % (26623)Memory used [KB]: 1663
% 1.73/0.62  % (26623)Time elapsed: 0.202 s
% 1.73/0.62  % (26623)Instructions burned: 15 (million)
% 1.73/0.62  % (26623)------------------------------
% 1.73/0.62  % (26623)------------------------------
% 1.73/0.62  % (26622)Instruction limit reached!
% 1.73/0.62  % (26622)------------------------------
% 1.73/0.62  % (26622)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.73/0.62  % (26622)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.73/0.62  % (26622)Termination reason: Unknown
% 1.73/0.62  % (26622)Termination phase: Saturation
% 1.73/0.62  
% 1.73/0.62  % (26622)Memory used [KB]: 6268
% 1.73/0.62  % (26622)Time elapsed: 0.184 s
% 1.73/0.62  % (26622)Instructions burned: 14 (million)
% 1.73/0.62  % (26622)------------------------------
% 1.73/0.62  % (26622)------------------------------
% 1.73/0.63  % (26637)dis-10_3:2_amm=sco:ep=RS:fsr=off:nm=10:sd=2:sos=on:ss=axioms:st=3.0:i=11:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/11Mi)
% 1.73/0.63  % (26625)lrs+2_1:1_lcm=reverse:lma=on:sos=all:spb=goal_then_units:ss=included:urr=on:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 1.73/0.63  % (26643)lrs+11_1:1_plsq=on:plsqc=1:plsqr=32,1:ss=included:i=95:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/95Mi)
% 1.73/0.63  % (26642)dis+21_1:1_ep=RS:nwc=10.0:s2a=on:s2at=1.5:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.73/0.63  % (26640)dis+1010_2:3_fs=off:fsr=off:nm=0:nwc=5.0:s2a=on:s2agt=32:i=82:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/82Mi)
% 1.73/0.63  % (26632)lrs+10_1:1_ins=3:sp=reverse_frequency:spb=goal:to=lpo:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 1.73/0.63  % (26647)Instruction limit reached!
% 1.73/0.63  % (26647)------------------------------
% 1.73/0.63  % (26647)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.73/0.63  % (26647)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.73/0.63  % (26647)Termination reason: Unknown
% 1.73/0.63  % (26647)Termination phase: Saturation
% 1.73/0.63  
% 1.73/0.63  % (26647)Memory used [KB]: 6396
% 1.73/0.63  % (26647)Time elapsed: 0.193 s
% 1.73/0.63  % (26647)Instructions burned: 24 (million)
% 1.73/0.63  % (26632)Instruction limit reached!
% 1.73/0.63  % (26632)------------------------------
% 1.73/0.63  % (26632)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.73/0.63  % (26632)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.73/0.63  % (26632)Termination reason: Unknown
% 1.73/0.63  % (26632)Termination phase: Property scanning
% 1.73/0.63  
% 1.73/0.63  % (26632)Memory used [KB]: 1535
% 1.73/0.63  % (26632)Time elapsed: 0.003 s
% 1.73/0.63  % (26632)Instructions burned: 3 (million)
% 1.73/0.63  % (26632)------------------------------
% 1.73/0.63  % (26632)------------------------------
% 1.73/0.63  % (26647)------------------------------
% 1.73/0.63  % (26647)------------------------------
% 1.73/0.64  % (26630)lrs+10_1:4_av=off:bs=unit_only:bsr=unit_only:ep=RS:s2a=on:sos=on:sp=frequency:to=lpo:i=16:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 1.73/0.64  % (26635)fmb+10_1:1_nm=2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 1.73/0.64  % (26634)lrs+1011_1:1_fd=preordered:fsd=on:sos=on:thsq=on:thsqc=64:thsqd=32:uwa=ground:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.73/0.64  % (26641)Instruction limit reached!
% 1.73/0.64  % (26641)------------------------------
% 1.73/0.64  % (26641)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.73/0.64  % (26620)Instruction limit reached!
% 1.73/0.64  % (26620)------------------------------
% 1.73/0.64  % (26620)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.73/0.64  % (26620)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.73/0.64  % (26620)Termination reason: Unknown
% 1.73/0.64  % (26620)Termination phase: Property scanning
% 1.73/0.64  
% 1.73/0.64  % (26620)Memory used [KB]: 1407
% 1.73/0.64  % (26620)Time elapsed: 0.003 s
% 1.73/0.64  % (26620)Instructions burned: 3 (million)
% 1.73/0.64  % (26620)------------------------------
% 1.73/0.64  % (26620)------------------------------
% 1.73/0.64  % (26646)Instruction limit reached!
% 1.73/0.64  % (26646)------------------------------
% 1.73/0.64  % (26646)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.73/0.64  % (26646)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.73/0.64  % (26646)Termination reason: Unknown
% 1.73/0.64  % (26646)Termination phase: Saturation
% 1.73/0.64  
% 1.73/0.64  % (26646)Memory used [KB]: 6140
% 1.73/0.64  % (26646)Time elapsed: 0.197 s
% 1.73/0.64  % (26646)Instructions burned: 8 (million)
% 1.73/0.64  % (26646)------------------------------
% 1.73/0.64  % (26646)------------------------------
% 1.73/0.64  % (26619)Instruction limit reached!
% 1.73/0.64  % (26619)------------------------------
% 1.73/0.64  % (26619)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.73/0.64  % (26621)Instruction limit reached!
% 1.73/0.64  % (26621)------------------------------
% 1.73/0.64  % (26621)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.73/0.64  % (26621)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.73/0.64  % (26621)Termination reason: Unknown
% 1.73/0.64  % (26621)Termination phase: Saturation
% 1.73/0.64  
% 1.73/0.64  % (26621)Memory used [KB]: 7036
% 1.73/0.64  % (26621)Time elapsed: 0.220 s
% 1.73/0.64  % (26621)Instructions burned: 52 (million)
% 1.73/0.64  % (26621)------------------------------
% 1.73/0.64  % (26621)------------------------------
% 1.73/0.64  % (26639)ott+21_1:1_erd=off:s2a=on:sac=on:sd=1:sgt=64:sos=on:ss=included:st=3.0:to=lpo:urr=on:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.73/0.65  % (26641)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.73/0.65  % (26641)Termination reason: Unknown
% 1.73/0.65  % (26641)Termination phase: Saturation
% 1.73/0.65  
% 1.73/0.65  % (26641)Memory used [KB]: 2302
% 1.73/0.65  % (26641)Time elapsed: 0.143 s
% 1.73/0.65  % (26641)Instructions burned: 45 (million)
% 1.73/0.65  % (26641)------------------------------
% 1.73/0.65  % (26641)------------------------------
% 1.73/0.65  % (26637)Refutation not found, incomplete strategy% (26637)------------------------------
% 1.73/0.65  % (26637)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.73/0.65  % (26637)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.73/0.65  % (26637)Termination reason: Refutation not found, incomplete strategy
% 1.73/0.65  
% 1.73/0.65  % (26637)Memory used [KB]: 6012
% 1.73/0.65  % (26637)Time elapsed: 0.206 s
% 1.73/0.65  % (26637)Instructions burned: 5 (million)
% 1.73/0.65  % (26637)------------------------------
% 1.73/0.65  % (26637)------------------------------
% 2.37/0.66  % (26619)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.37/0.66  % (26619)Termination reason: Unknown
% 2.37/0.66  % (26619)Termination phase: Saturation
% 2.37/0.66  
% 2.37/0.66  % (26619)Memory used [KB]: 6268
% 2.37/0.66  % (26619)Time elapsed: 0.198 s
% 2.37/0.66  % (26619)Instructions burned: 13 (million)
% 2.37/0.66  % (26619)------------------------------
% 2.37/0.66  % (26619)------------------------------
% 2.37/0.66  % (26635)Instruction limit reached!
% 2.37/0.66  % (26635)------------------------------
% 2.37/0.66  % (26635)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.37/0.66  % (26635)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.37/0.66  % (26635)Termination reason: Unknown
% 2.37/0.66  % (26635)Termination phase: Finite model building preprocessing
% 2.37/0.66  
% 2.37/0.66  % (26635)Memory used [KB]: 1535
% 2.37/0.66  % (26635)Time elapsed: 0.004 s
% 2.37/0.66  % (26635)Instructions burned: 4 (million)
% 2.37/0.66  % (26635)------------------------------
% 2.37/0.66  % (26635)------------------------------
% 2.37/0.66  % (26631)Instruction limit reached!
% 2.37/0.66  % (26631)------------------------------
% 2.37/0.66  % (26631)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.37/0.66  % (26631)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.37/0.66  % (26631)Termination reason: Unknown
% 2.37/0.66  % (26631)Termination phase: Saturation
% 2.37/0.66  
% 2.37/0.66  % (26631)Memory used [KB]: 7036
% 2.37/0.66  % (26631)Time elapsed: 0.159 s
% 2.37/0.66  % (26631)Instructions burned: 52 (million)
% 2.37/0.66  % (26631)------------------------------
% 2.37/0.66  % (26631)------------------------------
% 2.37/0.66  % (26627)Refutation not found, non-redundant clauses discarded% (26627)------------------------------
% 2.37/0.66  % (26627)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.37/0.66  % (26627)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.37/0.66  % (26627)Termination reason: Refutation not found, non-redundant clauses discarded
% 2.37/0.66  
% 2.37/0.66  % (26627)Memory used [KB]: 6524
% 2.37/0.66  % (26627)Time elapsed: 0.236 s
% 2.37/0.66  % (26627)Instructions burned: 30 (million)
% 2.37/0.66  % (26627)------------------------------
% 2.37/0.66  % (26627)------------------------------
% 2.37/0.67  % (26645)Instruction limit reached!
% 2.37/0.67  % (26645)------------------------------
% 2.37/0.67  % (26645)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.51/0.68  % (26630)Instruction limit reached!
% 2.51/0.68  % (26630)------------------------------
% 2.51/0.68  % (26630)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.51/0.68  % (26630)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.51/0.68  % (26630)Termination reason: Unknown
% 2.51/0.68  % (26630)Termination phase: Saturation
% 2.51/0.68  
% 2.51/0.68  % (26630)Memory used [KB]: 1791
% 2.51/0.68  % (26630)Time elapsed: 0.254 s
% 2.51/0.68  % (26630)Instructions burned: 16 (million)
% 2.51/0.68  % (26630)------------------------------
% 2.51/0.68  % (26630)------------------------------
% 2.51/0.69  % (26638)Instruction limit reached!
% 2.51/0.69  % (26638)------------------------------
% 2.51/0.69  % (26638)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.51/0.69  % (26624)Instruction limit reached!
% 2.51/0.69  % (26624)------------------------------
% 2.51/0.69  % (26624)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.51/0.69  % (26638)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.51/0.69  % (26638)Termination reason: Unknown
% 2.51/0.69  % (26638)Termination phase: Saturation
% 2.51/0.69  
% 2.51/0.69  % (26638)Memory used [KB]: 6396
% 2.51/0.69  % (26638)Time elapsed: 0.267 s
% 2.51/0.70  % (26638)Instructions burned: 31 (million)
% 2.51/0.70  % (26638)------------------------------
% 2.51/0.70  % (26638)------------------------------
% 2.51/0.70  % (26645)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.51/0.70  % (26645)Termination reason: Unknown
% 2.51/0.70  % (26645)Termination phase: Saturation
% 2.51/0.70  
% 2.51/0.70  % (26645)Memory used [KB]: 6524
% 2.51/0.70  % (26645)Time elapsed: 0.251 s
% 2.51/0.70  % (26645)Instructions burned: 26 (million)
% 2.51/0.70  % (26645)------------------------------
% 2.51/0.70  % (26645)------------------------------
% 2.51/0.70  % (26624)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.51/0.70  % (26624)Termination reason: Unknown
% 2.51/0.70  % (26624)Termination phase: Saturation
% 2.51/0.70  
% 2.51/0.70  % (26624)Memory used [KB]: 6524
% 2.51/0.70  % (26624)Time elapsed: 0.264 s
% 2.51/0.70  % (26624)Instructions burned: 39 (million)
% 2.51/0.70  % (26624)------------------------------
% 2.51/0.70  % (26624)------------------------------
% 2.51/0.71  % (26626)Instruction limit reached!
% 2.51/0.71  % (26626)------------------------------
% 2.51/0.71  % (26626)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.51/0.71  % (26626)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.51/0.71  % (26626)Termination reason: Unknown
% 2.51/0.71  % (26626)Termination phase: Saturation
% 2.51/0.71  
% 2.51/0.71  % (26626)Memory used [KB]: 7164
% 2.51/0.71  % (26626)Time elapsed: 0.257 s
% 2.51/0.71  % (26626)Instructions burned: 50 (million)
% 2.51/0.71  % (26626)------------------------------
% 2.51/0.71  % (26626)------------------------------
% 2.51/0.71  % (26625)Refutation not found, non-redundant clauses discarded% (26625)------------------------------
% 2.51/0.71  % (26625)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.51/0.72  % (26625)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.51/0.72  % (26625)Termination reason: Refutation not found, non-redundant clauses discarded
% 2.51/0.72  
% 2.51/0.72  % (26625)Memory used [KB]: 6524
% 2.51/0.72  % (26625)Time elapsed: 0.290 s
% 2.51/0.72  % (26625)Instructions burned: 33 (million)
% 2.51/0.72  % (26625)------------------------------
% 2.51/0.72  % (26625)------------------------------
% 2.65/0.74  % (26642)Instruction limit reached!
% 2.65/0.74  % (26642)------------------------------
% 2.65/0.74  % (26642)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.65/0.74  % (26634)Instruction limit reached!
% 2.65/0.74  % (26634)------------------------------
% 2.65/0.74  % (26634)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.65/0.74  % (26634)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.65/0.74  % (26634)Termination reason: Unknown
% 2.65/0.74  % (26634)Termination phase: Saturation
% 2.65/0.74  
% 2.65/0.74  % (26634)Memory used [KB]: 6524
% 2.65/0.74  % (26634)Time elapsed: 0.300 s
% 2.65/0.74  % (26634)Instructions burned: 51 (million)
% 2.65/0.74  % (26634)------------------------------
% 2.65/0.74  % (26634)------------------------------
% 2.68/0.74  % (26642)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.68/0.74  % (26642)Termination reason: Unknown
% 2.68/0.74  % (26642)Termination phase: Saturation
% 2.68/0.74  
% 2.68/0.74  % (26642)Memory used [KB]: 6652
% 2.68/0.74  % (26642)Time elapsed: 0.297 s
% 2.68/0.74  % (26642)Instructions burned: 51 (million)
% 2.68/0.74  % (26642)------------------------------
% 2.68/0.74  % (26642)------------------------------
% 2.68/0.74  % (26680)lrs+1010_1:1_afq=1.1:anc=none:bd=off:sd=2:sos=on:ss=axioms:i=92:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/92Mi)
% 2.68/0.75  % (26644)Refutation not found, non-redundant clauses discarded% (26644)------------------------------
% 2.68/0.75  % (26644)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.68/0.76  % (26644)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.68/0.76  % (26644)Termination reason: Refutation not found, non-redundant clauses discarded
% 2.68/0.76  
% 2.68/0.76  % (26644)Memory used [KB]: 6780
% 2.68/0.76  % (26644)Time elapsed: 0.317 s
% 2.68/0.76  % (26644)Instructions burned: 83 (million)
% 2.68/0.76  % (26644)------------------------------
% 2.68/0.76  % (26644)------------------------------
% 2.68/0.76  % (26683)ott+4_1:28_av=off:sos=all:i=69:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/69Mi)
% 2.68/0.77  % (26685)lrs+1010_1:1_bd=off:skr=on:ss=axioms:i=56:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/56Mi)
% 2.68/0.77  % (26684)dis+1011_1:1_av=off:er=known:fde=unused:nwc=10.0:slsq=on:slsqc=1:slsqr=4,15:i=107:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/107Mi)
% 2.68/0.77  % (26680)First to succeed.
% 2.68/0.78  % (26680)Refutation found. Thanks to Tanya!
% 2.68/0.78  % SZS status Theorem for theBenchmark
% 2.68/0.78  % SZS output start Proof for theBenchmark
% See solution above
% 2.68/0.78  % (26680)------------------------------
% 2.68/0.78  % (26680)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.68/0.78  % (26680)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.68/0.78  % (26680)Termination reason: Refutation
% 2.68/0.78  
% 2.68/0.78  % (26680)Memory used [KB]: 6396
% 2.68/0.78  % (26680)Time elapsed: 0.149 s
% 2.68/0.78  % (26680)Instructions burned: 22 (million)
% 2.68/0.78  % (26680)------------------------------
% 2.68/0.78  % (26680)------------------------------
% 2.68/0.78  % (26617)Success in time 0.414 s
%------------------------------------------------------------------------------