TSTP Solution File: RNG109+1 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : RNG109+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 : n023.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 18:15:03 EDT 2022

% Result   : Theorem 2.09s 0.63s
% Output   : Refutation 2.09s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   15
%            Number of leaves      :   22
% Syntax   : Number of formulae    :   92 (  10 unt;   0 def)
%            Number of atoms       :  421 ( 106 equ)
%            Maximal formula atoms :   20 (   4 avg)
%            Number of connectives :  512 ( 183   ~; 189   |; 109   &)
%                                         (  21 <=>;  10  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   15 (   6 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :   14 (  12 usr;   7 prp; 0-3 aty)
%            Number of functors    :   16 (  16 usr;   4 con; 0-3 aty)
%            Number of variables   :  203 ( 151   !;  52   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f908,plain,
    $false,
    inference(avatar_sat_refutation,[],[f194,f240,f251,f356,f408,f671,f906]) ).

fof(f906,plain,
    ( spl15_2
    | ~ spl15_5 ),
    inference(avatar_contradiction_clause,[],[f905]) ).

fof(f905,plain,
    ( $false
    | spl15_2
    | ~ spl15_5 ),
    inference(subsumption_resolution,[],[f904,f123]) ).

fof(f123,plain,
    aElement0(xa),
    inference(cnf_transformation,[],[f39]) ).

fof(f39,axiom,
    ( aElement0(xb)
    & aElement0(xa) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2091) ).

fof(f904,plain,
    ( ~ aElement0(xa)
    | spl15_2
    | ~ spl15_5 ),
    inference(subsumption_resolution,[],[f831,f193]) ).

fof(f193,plain,
    ( sz00 != xa
    | spl15_2 ),
    inference(avatar_component_clause,[],[f191]) ).

fof(f191,plain,
    ( spl15_2
  <=> sz00 = xa ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_2])]) ).

fof(f831,plain,
    ( sz00 = xa
    | ~ aElement0(xa)
    | ~ spl15_5 ),
    inference(resolution,[],[f591,f150]) ).

fof(f150,plain,
    aElementOf0(xa,slsdtgt0(xa)),
    inference(cnf_transformation,[],[f43]) ).

fof(f43,axiom,
    ( aElementOf0(sz00,slsdtgt0(xb))
    & aElementOf0(xa,slsdtgt0(xa))
    & aElementOf0(xb,slsdtgt0(xb))
    & aElementOf0(sz00,slsdtgt0(xa)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2203) ).

fof(f591,plain,
    ( ! [X0] :
        ( ~ aElementOf0(X0,slsdtgt0(xa))
        | ~ aElement0(X0)
        | sz00 = X0 )
    | ~ spl15_5 ),
    inference(subsumption_resolution,[],[f590,f151]) ).

fof(f151,plain,
    aElementOf0(sz00,slsdtgt0(xb)),
    inference(cnf_transformation,[],[f43]) ).

fof(f590,plain,
    ( ! [X0] :
        ( ~ aElementOf0(sz00,slsdtgt0(xb))
        | ~ aElement0(X0)
        | sz00 = X0
        | ~ aElementOf0(X0,slsdtgt0(xa)) )
    | ~ spl15_5 ),
    inference(resolution,[],[f384,f239]) ).

fof(f239,plain,
    ( sP0(slsdtgt0(xa),slsdtgt0(xb),xI)
    | ~ spl15_5 ),
    inference(avatar_component_clause,[],[f237]) ).

fof(f237,plain,
    ( spl15_5
  <=> sP0(slsdtgt0(xa),slsdtgt0(xb),xI) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_5])]) ).

fof(f384,plain,
    ! [X2,X0,X1] :
      ( ~ sP0(X1,X2,xI)
      | ~ aElementOf0(sz00,X2)
      | ~ aElementOf0(X0,X1)
      | ~ aElement0(X0)
      | sz00 = X0 ),
    inference(superposition,[],[f139,f218]) ).

fof(f218,plain,
    ! [X16,X14,X17,X15] :
      ( sz00 = sdtpldt0(X14,X15)
      | ~ sP0(X16,X17,xI)
      | ~ aElementOf0(X15,X17)
      | ~ aElementOf0(X14,X16) ),
    inference(resolution,[],[f195,f185]) ).

fof(f185,plain,
    ! [X2,X10,X0,X1,X9] :
      ( aElementOf0(sdtpldt0(X10,X9),X2)
      | ~ sP0(X0,X1,X2)
      | ~ aElementOf0(X10,X0)
      | ~ aElementOf0(X9,X1) ),
    inference(equality_resolution,[],[f165]) ).

fof(f165,plain,
    ! [X2,X10,X0,X1,X8,X9] :
      ( aElementOf0(X8,X2)
      | sdtpldt0(X10,X9) != X8
      | ~ aElementOf0(X10,X0)
      | ~ aElementOf0(X9,X1)
      | ~ sP0(X0,X1,X2) ),
    inference(cnf_transformation,[],[f112]) ).

fof(f112,plain,
    ! [X0,X1,X2] :
      ( ( sP0(X0,X1,X2)
        | ( ( ! [X4,X5] :
                ( sK7(X0,X1,X2) != sdtpldt0(X5,X4)
                | ~ aElementOf0(X5,X0)
                | ~ aElementOf0(X4,X1) )
            | ~ aElementOf0(sK7(X0,X1,X2),X2) )
          & ( ( sK7(X0,X1,X2) = sdtpldt0(sK9(X0,X1,X2),sK8(X0,X1,X2))
              & aElementOf0(sK9(X0,X1,X2),X0)
              & aElementOf0(sK8(X0,X1,X2),X1) )
            | aElementOf0(sK7(X0,X1,X2),X2) ) )
        | ~ aSet0(X2) )
      & ( ( ! [X8] :
              ( ( aElementOf0(X8,X2)
                | ! [X9,X10] :
                    ( sdtpldt0(X10,X9) != X8
                    | ~ aElementOf0(X10,X0)
                    | ~ aElementOf0(X9,X1) ) )
              & ( ( sdtpldt0(sK11(X0,X1,X8),sK10(X0,X1,X8)) = X8
                  & aElementOf0(sK11(X0,X1,X8),X0)
                  & aElementOf0(sK10(X0,X1,X8),X1) )
                | ~ aElementOf0(X8,X2) ) )
          & aSet0(X2) )
        | ~ sP0(X0,X1,X2) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK7,sK8,sK9,sK10,sK11])],[f108,f111,f110,f109]) ).

fof(f109,plain,
    ! [X0,X1,X2] :
      ( ? [X3] :
          ( ( ! [X4,X5] :
                ( sdtpldt0(X5,X4) != X3
                | ~ aElementOf0(X5,X0)
                | ~ aElementOf0(X4,X1) )
            | ~ aElementOf0(X3,X2) )
          & ( ? [X6,X7] :
                ( sdtpldt0(X7,X6) = X3
                & aElementOf0(X7,X0)
                & aElementOf0(X6,X1) )
            | aElementOf0(X3,X2) ) )
     => ( ( ! [X5,X4] :
              ( sK7(X0,X1,X2) != sdtpldt0(X5,X4)
              | ~ aElementOf0(X5,X0)
              | ~ aElementOf0(X4,X1) )
          | ~ aElementOf0(sK7(X0,X1,X2),X2) )
        & ( ? [X7,X6] :
              ( sK7(X0,X1,X2) = sdtpldt0(X7,X6)
              & aElementOf0(X7,X0)
              & aElementOf0(X6,X1) )
          | aElementOf0(sK7(X0,X1,X2),X2) ) ) ),
    introduced(choice_axiom,[]) ).

fof(f110,plain,
    ! [X0,X1,X2] :
      ( ? [X7,X6] :
          ( sK7(X0,X1,X2) = sdtpldt0(X7,X6)
          & aElementOf0(X7,X0)
          & aElementOf0(X6,X1) )
     => ( sK7(X0,X1,X2) = sdtpldt0(sK9(X0,X1,X2),sK8(X0,X1,X2))
        & aElementOf0(sK9(X0,X1,X2),X0)
        & aElementOf0(sK8(X0,X1,X2),X1) ) ),
    introduced(choice_axiom,[]) ).

fof(f111,plain,
    ! [X0,X1,X8] :
      ( ? [X11,X12] :
          ( sdtpldt0(X12,X11) = X8
          & aElementOf0(X12,X0)
          & aElementOf0(X11,X1) )
     => ( sdtpldt0(sK11(X0,X1,X8),sK10(X0,X1,X8)) = X8
        & aElementOf0(sK11(X0,X1,X8),X0)
        & aElementOf0(sK10(X0,X1,X8),X1) ) ),
    introduced(choice_axiom,[]) ).

fof(f108,plain,
    ! [X0,X1,X2] :
      ( ( sP0(X0,X1,X2)
        | ? [X3] :
            ( ( ! [X4,X5] :
                  ( sdtpldt0(X5,X4) != X3
                  | ~ aElementOf0(X5,X0)
                  | ~ aElementOf0(X4,X1) )
              | ~ aElementOf0(X3,X2) )
            & ( ? [X6,X7] :
                  ( sdtpldt0(X7,X6) = X3
                  & aElementOf0(X7,X0)
                  & aElementOf0(X6,X1) )
              | aElementOf0(X3,X2) ) )
        | ~ aSet0(X2) )
      & ( ( ! [X8] :
              ( ( aElementOf0(X8,X2)
                | ! [X9,X10] :
                    ( sdtpldt0(X10,X9) != X8
                    | ~ aElementOf0(X10,X0)
                    | ~ aElementOf0(X9,X1) ) )
              & ( ? [X11,X12] :
                    ( sdtpldt0(X12,X11) = X8
                    & aElementOf0(X12,X0)
                    & aElementOf0(X11,X1) )
                | ~ aElementOf0(X8,X2) ) )
          & aSet0(X2) )
        | ~ sP0(X0,X1,X2) ) ),
    inference(rectify,[],[f107]) ).

fof(f107,plain,
    ! [X1,X0,X2] :
      ( ( sP0(X1,X0,X2)
        | ? [X3] :
            ( ( ! [X5,X4] :
                  ( sdtpldt0(X4,X5) != X3
                  | ~ aElementOf0(X4,X1)
                  | ~ aElementOf0(X5,X0) )
              | ~ aElementOf0(X3,X2) )
            & ( ? [X5,X4] :
                  ( sdtpldt0(X4,X5) = X3
                  & aElementOf0(X4,X1)
                  & aElementOf0(X5,X0) )
              | aElementOf0(X3,X2) ) )
        | ~ aSet0(X2) )
      & ( ( ! [X3] :
              ( ( aElementOf0(X3,X2)
                | ! [X5,X4] :
                    ( sdtpldt0(X4,X5) != X3
                    | ~ aElementOf0(X4,X1)
                    | ~ aElementOf0(X5,X0) ) )
              & ( ? [X5,X4] :
                    ( sdtpldt0(X4,X5) = X3
                    & aElementOf0(X4,X1)
                    & aElementOf0(X5,X0) )
                | ~ aElementOf0(X3,X2) ) )
          & aSet0(X2) )
        | ~ sP0(X1,X0,X2) ) ),
    inference(flattening,[],[f106]) ).

fof(f106,plain,
    ! [X1,X0,X2] :
      ( ( sP0(X1,X0,X2)
        | ? [X3] :
            ( ( ! [X5,X4] :
                  ( sdtpldt0(X4,X5) != X3
                  | ~ aElementOf0(X4,X1)
                  | ~ aElementOf0(X5,X0) )
              | ~ aElementOf0(X3,X2) )
            & ( ? [X5,X4] :
                  ( sdtpldt0(X4,X5) = X3
                  & aElementOf0(X4,X1)
                  & aElementOf0(X5,X0) )
              | aElementOf0(X3,X2) ) )
        | ~ aSet0(X2) )
      & ( ( ! [X3] :
              ( ( aElementOf0(X3,X2)
                | ! [X5,X4] :
                    ( sdtpldt0(X4,X5) != X3
                    | ~ aElementOf0(X4,X1)
                    | ~ aElementOf0(X5,X0) ) )
              & ( ? [X5,X4] :
                    ( sdtpldt0(X4,X5) = X3
                    & aElementOf0(X4,X1)
                    & aElementOf0(X5,X0) )
                | ~ aElementOf0(X3,X2) ) )
          & aSet0(X2) )
        | ~ sP0(X1,X0,X2) ) ),
    inference(nnf_transformation,[],[f85]) ).

fof(f85,plain,
    ! [X1,X0,X2] :
      ( sP0(X1,X0,X2)
    <=> ( ! [X3] :
            ( aElementOf0(X3,X2)
          <=> ? [X5,X4] :
                ( sdtpldt0(X4,X5) = X3
                & aElementOf0(X4,X1)
                & aElementOf0(X5,X0) ) )
        & aSet0(X2) ) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).

fof(f195,plain,
    ! [X0] :
      ( ~ aElementOf0(X0,xI)
      | sz00 = X0 ),
    inference(forward_demodulation,[],[f153,f134]) ).

fof(f134,plain,
    xI = sdtpldt1(slsdtgt0(xa),slsdtgt0(xb)),
    inference(cnf_transformation,[],[f42]) ).

fof(f42,axiom,
    ( xI = sdtpldt1(slsdtgt0(xa),slsdtgt0(xb))
    & aIdeal0(xI) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2174) ).

fof(f153,plain,
    ! [X0] :
      ( sz00 = X0
      | ~ aElementOf0(X0,sdtpldt1(slsdtgt0(xa),slsdtgt0(xb))) ),
    inference(cnf_transformation,[],[f56]) ).

fof(f56,plain,
    ! [X0] :
      ( ~ aElementOf0(X0,sdtpldt1(slsdtgt0(xa),slsdtgt0(xb)))
      | sz00 = X0 ),
    inference(ennf_transformation,[],[f45]) ).

fof(f45,negated_conjecture,
    ~ ? [X0] :
        ( sz00 != X0
        & aElementOf0(X0,sdtpldt1(slsdtgt0(xa),slsdtgt0(xb))) ),
    inference(negated_conjecture,[],[f44]) ).

fof(f44,conjecture,
    ? [X0] :
      ( sz00 != X0
      & aElementOf0(X0,sdtpldt1(slsdtgt0(xa),slsdtgt0(xb))) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).

fof(f139,plain,
    ! [X0] :
      ( sdtpldt0(X0,sz00) = X0
      | ~ aElement0(X0) ),
    inference(cnf_transformation,[],[f76]) ).

fof(f76,plain,
    ! [X0] :
      ( ~ aElement0(X0)
      | ( sdtpldt0(sz00,X0) = X0
        & sdtpldt0(X0,sz00) = X0 ) ),
    inference(ennf_transformation,[],[f9]) ).

fof(f9,axiom,
    ! [X0] :
      ( aElement0(X0)
     => ( sdtpldt0(sz00,X0) = X0
        & sdtpldt0(X0,sz00) = X0 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mAddZero) ).

fof(f671,plain,
    ( spl15_1
    | ~ spl15_5 ),
    inference(avatar_contradiction_clause,[],[f670]) ).

fof(f670,plain,
    ( $false
    | spl15_1
    | ~ spl15_5 ),
    inference(subsumption_resolution,[],[f669,f189]) ).

fof(f189,plain,
    ( sz00 != xb
    | spl15_1 ),
    inference(avatar_component_clause,[],[f187]) ).

fof(f187,plain,
    ( spl15_1
  <=> sz00 = xb ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_1])]) ).

fof(f669,plain,
    ( sz00 = xb
    | ~ spl15_5 ),
    inference(subsumption_resolution,[],[f595,f124]) ).

fof(f124,plain,
    aElement0(xb),
    inference(cnf_transformation,[],[f39]) ).

fof(f595,plain,
    ( ~ aElement0(xb)
    | sz00 = xb
    | ~ spl15_5 ),
    inference(resolution,[],[f589,f149]) ).

fof(f149,plain,
    aElementOf0(xb,slsdtgt0(xb)),
    inference(cnf_transformation,[],[f43]) ).

fof(f589,plain,
    ( ! [X0] :
        ( ~ aElementOf0(X0,slsdtgt0(xb))
        | sz00 = X0
        | ~ aElement0(X0) )
    | ~ spl15_5 ),
    inference(subsumption_resolution,[],[f588,f148]) ).

fof(f148,plain,
    aElementOf0(sz00,slsdtgt0(xa)),
    inference(cnf_transformation,[],[f43]) ).

fof(f588,plain,
    ( ! [X0] :
        ( sz00 = X0
        | ~ aElement0(X0)
        | ~ aElementOf0(sz00,slsdtgt0(xa))
        | ~ aElementOf0(X0,slsdtgt0(xb)) )
    | ~ spl15_5 ),
    inference(resolution,[],[f378,f239]) ).

fof(f378,plain,
    ! [X16,X17,X15] :
      ( ~ sP0(X16,X17,xI)
      | sz00 = X15
      | ~ aElementOf0(X15,X17)
      | ~ aElementOf0(sz00,X16)
      | ~ aElement0(X15) ),
    inference(superposition,[],[f218,f140]) ).

fof(f140,plain,
    ! [X0] :
      ( sdtpldt0(sz00,X0) = X0
      | ~ aElement0(X0) ),
    inference(cnf_transformation,[],[f76]) ).

fof(f408,plain,
    spl15_7,
    inference(avatar_contradiction_clause,[],[f407]) ).

fof(f407,plain,
    ( $false
    | spl15_7 ),
    inference(subsumption_resolution,[],[f406,f123]) ).

fof(f406,plain,
    ( ~ aElement0(xa)
    | spl15_7 ),
    inference(resolution,[],[f250,f183]) ).

fof(f183,plain,
    ! [X0] :
      ( aSet0(slsdtgt0(X0))
      | ~ aElement0(X0) ),
    inference(equality_resolution,[],[f141]) ).

fof(f141,plain,
    ! [X0,X1] :
      ( aSet0(X1)
      | slsdtgt0(X0) != X1
      | ~ aElement0(X0) ),
    inference(cnf_transformation,[],[f101]) ).

fof(f101,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( slsdtgt0(X0) = X1
            | ( ( ! [X3] :
                    ( ~ aElement0(X3)
                    | sdtasdt0(X0,X3) != sK2(X0,X1) )
                | ~ aElementOf0(sK2(X0,X1),X1) )
              & ( ( aElement0(sK3(X0,X1))
                  & sdtasdt0(X0,sK3(X0,X1)) = sK2(X0,X1) )
                | aElementOf0(sK2(X0,X1),X1) ) )
            | ~ aSet0(X1) )
          & ( ( ! [X5] :
                  ( ( aElementOf0(X5,X1)
                    | ! [X6] :
                        ( ~ aElement0(X6)
                        | sdtasdt0(X0,X6) != X5 ) )
                  & ( ( aElement0(sK4(X0,X5))
                      & sdtasdt0(X0,sK4(X0,X5)) = X5 )
                    | ~ aElementOf0(X5,X1) ) )
              & aSet0(X1) )
            | slsdtgt0(X0) != X1 ) )
      | ~ aElement0(X0) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK2,sK3,sK4])],[f97,f100,f99,f98]) ).

fof(f98,plain,
    ! [X0,X1] :
      ( ? [X2] :
          ( ( ! [X3] :
                ( ~ aElement0(X3)
                | sdtasdt0(X0,X3) != X2 )
            | ~ aElementOf0(X2,X1) )
          & ( ? [X4] :
                ( aElement0(X4)
                & sdtasdt0(X0,X4) = X2 )
            | aElementOf0(X2,X1) ) )
     => ( ( ! [X3] :
              ( ~ aElement0(X3)
              | sdtasdt0(X0,X3) != sK2(X0,X1) )
          | ~ aElementOf0(sK2(X0,X1),X1) )
        & ( ? [X4] :
              ( aElement0(X4)
              & sdtasdt0(X0,X4) = sK2(X0,X1) )
          | aElementOf0(sK2(X0,X1),X1) ) ) ),
    introduced(choice_axiom,[]) ).

fof(f99,plain,
    ! [X0,X1] :
      ( ? [X4] :
          ( aElement0(X4)
          & sdtasdt0(X0,X4) = sK2(X0,X1) )
     => ( aElement0(sK3(X0,X1))
        & sdtasdt0(X0,sK3(X0,X1)) = sK2(X0,X1) ) ),
    introduced(choice_axiom,[]) ).

fof(f100,plain,
    ! [X0,X5] :
      ( ? [X7] :
          ( aElement0(X7)
          & sdtasdt0(X0,X7) = X5 )
     => ( aElement0(sK4(X0,X5))
        & sdtasdt0(X0,sK4(X0,X5)) = X5 ) ),
    introduced(choice_axiom,[]) ).

fof(f97,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( slsdtgt0(X0) = X1
            | ? [X2] :
                ( ( ! [X3] :
                      ( ~ aElement0(X3)
                      | sdtasdt0(X0,X3) != X2 )
                  | ~ aElementOf0(X2,X1) )
                & ( ? [X4] :
                      ( aElement0(X4)
                      & sdtasdt0(X0,X4) = X2 )
                  | aElementOf0(X2,X1) ) )
            | ~ aSet0(X1) )
          & ( ( ! [X5] :
                  ( ( aElementOf0(X5,X1)
                    | ! [X6] :
                        ( ~ aElement0(X6)
                        | sdtasdt0(X0,X6) != X5 ) )
                  & ( ? [X7] :
                        ( aElement0(X7)
                        & sdtasdt0(X0,X7) = X5 )
                    | ~ aElementOf0(X5,X1) ) )
              & aSet0(X1) )
            | slsdtgt0(X0) != X1 ) )
      | ~ aElement0(X0) ),
    inference(rectify,[],[f96]) ).

fof(f96,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( slsdtgt0(X0) = X1
            | ? [X2] :
                ( ( ! [X3] :
                      ( ~ aElement0(X3)
                      | sdtasdt0(X0,X3) != X2 )
                  | ~ aElementOf0(X2,X1) )
                & ( ? [X3] :
                      ( aElement0(X3)
                      & sdtasdt0(X0,X3) = X2 )
                  | aElementOf0(X2,X1) ) )
            | ~ aSet0(X1) )
          & ( ( ! [X2] :
                  ( ( aElementOf0(X2,X1)
                    | ! [X3] :
                        ( ~ aElement0(X3)
                        | sdtasdt0(X0,X3) != X2 ) )
                  & ( ? [X3] :
                        ( aElement0(X3)
                        & sdtasdt0(X0,X3) = X2 )
                    | ~ aElementOf0(X2,X1) ) )
              & aSet0(X1) )
            | slsdtgt0(X0) != X1 ) )
      | ~ aElement0(X0) ),
    inference(flattening,[],[f95]) ).

fof(f95,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( slsdtgt0(X0) = X1
            | ? [X2] :
                ( ( ! [X3] :
                      ( ~ aElement0(X3)
                      | sdtasdt0(X0,X3) != X2 )
                  | ~ aElementOf0(X2,X1) )
                & ( ? [X3] :
                      ( aElement0(X3)
                      & sdtasdt0(X0,X3) = X2 )
                  | aElementOf0(X2,X1) ) )
            | ~ aSet0(X1) )
          & ( ( ! [X2] :
                  ( ( aElementOf0(X2,X1)
                    | ! [X3] :
                        ( ~ aElement0(X3)
                        | sdtasdt0(X0,X3) != X2 ) )
                  & ( ? [X3] :
                        ( aElement0(X3)
                        & sdtasdt0(X0,X3) = X2 )
                    | ~ aElementOf0(X2,X1) ) )
              & aSet0(X1) )
            | slsdtgt0(X0) != X1 ) )
      | ~ aElement0(X0) ),
    inference(nnf_transformation,[],[f84]) ).

fof(f84,plain,
    ! [X0] :
      ( ! [X1] :
          ( slsdtgt0(X0) = X1
        <=> ( ! [X2] :
                ( aElementOf0(X2,X1)
              <=> ? [X3] :
                    ( aElement0(X3)
                    & sdtasdt0(X0,X3) = X2 ) )
            & aSet0(X1) ) )
      | ~ aElement0(X0) ),
    inference(ennf_transformation,[],[f37]) ).

fof(f37,axiom,
    ! [X0] :
      ( aElement0(X0)
     => ! [X1] :
          ( slsdtgt0(X0) = X1
        <=> ( ! [X2] :
                ( aElementOf0(X2,X1)
              <=> ? [X3] :
                    ( aElement0(X3)
                    & sdtasdt0(X0,X3) = X2 ) )
            & aSet0(X1) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefPrIdeal) ).

fof(f250,plain,
    ( ~ aSet0(slsdtgt0(xa))
    | spl15_7 ),
    inference(avatar_component_clause,[],[f248]) ).

fof(f248,plain,
    ( spl15_7
  <=> aSet0(slsdtgt0(xa)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_7])]) ).

fof(f356,plain,
    spl15_6,
    inference(avatar_contradiction_clause,[],[f355]) ).

fof(f355,plain,
    ( $false
    | spl15_6 ),
    inference(subsumption_resolution,[],[f354,f124]) ).

fof(f354,plain,
    ( ~ aElement0(xb)
    | spl15_6 ),
    inference(resolution,[],[f246,f183]) ).

fof(f246,plain,
    ( ~ aSet0(slsdtgt0(xb))
    | spl15_6 ),
    inference(avatar_component_clause,[],[f244]) ).

fof(f244,plain,
    ( spl15_6
  <=> aSet0(slsdtgt0(xb)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_6])]) ).

fof(f251,plain,
    ( ~ spl15_6
    | ~ spl15_7
    | spl15_4 ),
    inference(avatar_split_clause,[],[f242,f232,f248,f244]) ).

fof(f232,plain,
    ( spl15_4
  <=> sP1(slsdtgt0(xb),slsdtgt0(xa)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_4])]) ).

fof(f242,plain,
    ( ~ aSet0(slsdtgt0(xa))
    | ~ aSet0(slsdtgt0(xb))
    | spl15_4 ),
    inference(resolution,[],[f234,f170]) ).

fof(f170,plain,
    ! [X0,X1] :
      ( sP1(X1,X0)
      | ~ aSet0(X0)
      | ~ aSet0(X1) ),
    inference(cnf_transformation,[],[f113]) ).

fof(f113,plain,
    ! [X0,X1] :
      ( sP1(X1,X0)
      | ~ aSet0(X1)
      | ~ aSet0(X0) ),
    inference(rectify,[],[f87]) ).

fof(f87,plain,
    ! [X1,X0] :
      ( sP1(X0,X1)
      | ~ aSet0(X0)
      | ~ aSet0(X1) ),
    inference(definition_folding,[],[f65,f86,f85]) ).

fof(f86,plain,
    ! [X0,X1] :
      ( ! [X2] :
          ( sdtpldt1(X1,X0) = X2
        <=> sP0(X1,X0,X2) )
      | ~ sP1(X0,X1) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).

fof(f65,plain,
    ! [X1,X0] :
      ( ! [X2] :
          ( sdtpldt1(X1,X0) = X2
        <=> ( ! [X3] :
                ( aElementOf0(X3,X2)
              <=> ? [X5,X4] :
                    ( sdtpldt0(X4,X5) = X3
                    & aElementOf0(X4,X1)
                    & aElementOf0(X5,X0) ) )
            & aSet0(X2) ) )
      | ~ aSet0(X0)
      | ~ aSet0(X1) ),
    inference(flattening,[],[f64]) ).

fof(f64,plain,
    ! [X0,X1] :
      ( ! [X2] :
          ( sdtpldt1(X1,X0) = X2
        <=> ( ! [X3] :
                ( aElementOf0(X3,X2)
              <=> ? [X5,X4] :
                    ( sdtpldt0(X4,X5) = X3
                    & aElementOf0(X4,X1)
                    & aElementOf0(X5,X0) ) )
            & aSet0(X2) ) )
      | ~ aSet0(X1)
      | ~ aSet0(X0) ),
    inference(ennf_transformation,[],[f47]) ).

fof(f47,plain,
    ! [X0,X1] :
      ( ( aSet0(X1)
        & aSet0(X0) )
     => ! [X2] :
          ( sdtpldt1(X1,X0) = X2
        <=> ( ! [X3] :
                ( aElementOf0(X3,X2)
              <=> ? [X5,X4] :
                    ( sdtpldt0(X4,X5) = X3
                    & aElementOf0(X4,X1)
                    & aElementOf0(X5,X0) ) )
            & aSet0(X2) ) ) ),
    inference(rectify,[],[f22]) ).

fof(f22,axiom,
    ! [X1,X0] :
      ( ( aSet0(X0)
        & aSet0(X1) )
     => ! [X2] :
          ( sdtpldt1(X0,X1) = X2
        <=> ( aSet0(X2)
            & ! [X3] :
                ( aElementOf0(X3,X2)
              <=> ? [X4,X5] :
                    ( aElementOf0(X4,X0)
                    & sdtpldt0(X4,X5) = X3
                    & aElementOf0(X5,X1) ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefSSum) ).

fof(f234,plain,
    ( ~ sP1(slsdtgt0(xb),slsdtgt0(xa))
    | spl15_4 ),
    inference(avatar_component_clause,[],[f232]) ).

fof(f240,plain,
    ( spl15_5
    | ~ spl15_4 ),
    inference(avatar_split_clause,[],[f226,f232,f237]) ).

fof(f226,plain,
    ( ~ sP1(slsdtgt0(xb),slsdtgt0(xa))
    | sP0(slsdtgt0(xa),slsdtgt0(xb),xI) ),
    inference(superposition,[],[f184,f134]) ).

fof(f184,plain,
    ! [X0,X1] :
      ( sP0(X1,X0,sdtpldt1(X1,X0))
      | ~ sP1(X0,X1) ),
    inference(equality_resolution,[],[f159]) ).

fof(f159,plain,
    ! [X2,X0,X1] :
      ( sP0(X1,X0,X2)
      | sdtpldt1(X1,X0) != X2
      | ~ sP1(X0,X1) ),
    inference(cnf_transformation,[],[f105]) ).

fof(f105,plain,
    ! [X0,X1] :
      ( ! [X2] :
          ( ( sdtpldt1(X1,X0) = X2
            | ~ sP0(X1,X0,X2) )
          & ( sP0(X1,X0,X2)
            | sdtpldt1(X1,X0) != X2 ) )
      | ~ sP1(X0,X1) ),
    inference(nnf_transformation,[],[f86]) ).

fof(f194,plain,
    ( ~ spl15_1
    | ~ spl15_2 ),
    inference(avatar_split_clause,[],[f138,f191,f187]) ).

fof(f138,plain,
    ( sz00 != xa
    | sz00 != xb ),
    inference(cnf_transformation,[],[f40]) ).

fof(f40,axiom,
    ( sz00 != xb
    | sz00 != xa ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2110) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : RNG109+1 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.12/0.33  % Computer : n023.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit   : 300
% 0.12/0.33  % WCLimit    : 300
% 0.12/0.33  % DateTime   : Tue Aug 30 12:30:20 EDT 2022
% 0.12/0.34  % CPUTime    : 
% 0.18/0.46  % (1319)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)
% 0.18/0.46  % (1311)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)
% 0.18/0.48  % (1311)Instruction limit reached!
% 0.18/0.48  % (1311)------------------------------
% 0.18/0.48  % (1311)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.48  % (1311)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.48  % (1311)Termination reason: Unknown
% 0.18/0.48  % (1311)Termination phase: Preprocessing 3
% 0.18/0.48  
% 0.18/0.48  % (1311)Memory used [KB]: 1535
% 0.18/0.48  % (1311)Time elapsed: 0.005 s
% 0.18/0.48  % (1311)Instructions burned: 3 (million)
% 0.18/0.48  % (1311)------------------------------
% 0.18/0.48  % (1311)------------------------------
% 0.18/0.48  % (1302)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)
% 0.18/0.50  % (1301)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)
% 0.18/0.50  % (1310)fmb+10_1:1_nm=2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.18/0.50  % (1310)Instruction limit reached!
% 0.18/0.50  % (1310)------------------------------
% 0.18/0.50  % (1310)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.50  % (1310)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.50  % (1310)Termination reason: Unknown
% 0.18/0.50  % (1310)Termination phase: Clausification
% 0.18/0.50  
% 0.18/0.50  % (1310)Memory used [KB]: 1535
% 0.18/0.50  % (1310)Time elapsed: 0.003 s
% 0.18/0.50  % (1310)Instructions burned: 4 (million)
% 0.18/0.50  % (1310)------------------------------
% 0.18/0.50  % (1310)------------------------------
% 0.18/0.51  % (1315)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)
% 0.18/0.51  % (1293)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 0.18/0.52  % (1299)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)
% 0.18/0.52  % (1298)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)
% 0.18/0.52  % (1296)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)
% 0.18/0.52  % (1295)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)
% 0.18/0.52  % (1294)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)
% 0.18/0.52  % (1295)Instruction limit reached!
% 0.18/0.52  % (1295)------------------------------
% 0.18/0.52  % (1295)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.52  % (1295)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.52  % (1295)Termination reason: Unknown
% 0.18/0.52  % (1295)Termination phase: Property scanning
% 0.18/0.52  
% 0.18/0.52  % (1295)Memory used [KB]: 1535
% 0.18/0.52  % (1295)Time elapsed: 0.003 s
% 0.18/0.52  % (1295)Instructions burned: 4 (million)
% 0.18/0.52  % (1295)------------------------------
% 0.18/0.52  % (1295)------------------------------
% 0.18/0.52  % (1312)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)
% 0.18/0.52  % (1316)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)
% 0.18/0.53  % (1307)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)
% 0.18/0.53  % (1320)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)
% 0.18/0.53  % (1322)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)
% 0.18/0.53  % (1321)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)
% 0.18/0.53  % (1308)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)
% 0.18/0.53  % (1307)Instruction limit reached!
% 0.18/0.53  % (1307)------------------------------
% 0.18/0.53  % (1307)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.53  % (1307)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.53  % (1307)Termination reason: Unknown
% 0.18/0.53  % (1307)Termination phase: Property scanning
% 0.18/0.53  
% 0.18/0.53  % (1307)Memory used [KB]: 1535
% 0.18/0.53  % (1307)Time elapsed: 0.003 s
% 0.18/0.53  % (1307)Instructions burned: 4 (million)
% 0.18/0.53  % (1307)------------------------------
% 0.18/0.53  % (1307)------------------------------
% 0.18/0.53  % (1314)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)
% 0.18/0.53  % (1300)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)
% 0.18/0.53  % (1313)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)
% 0.18/0.53  % (1303)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)
% 1.50/0.54  % (1306)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)
% 1.50/0.54  % (1297)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)
% 1.50/0.54  % (1304)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)
% 1.50/0.54  % (1318)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)
% 1.50/0.54  % (1294)Instruction limit reached!
% 1.50/0.54  % (1294)------------------------------
% 1.50/0.54  % (1294)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.50/0.54  % (1294)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.50/0.54  % (1294)Termination reason: Unknown
% 1.50/0.54  % (1294)Termination phase: Saturation
% 1.50/0.54  
% 1.50/0.54  % (1294)Memory used [KB]: 6268
% 1.50/0.54  % (1294)Time elapsed: 0.105 s
% 1.50/0.54  % (1294)Instructions burned: 13 (million)
% 1.50/0.54  % (1294)------------------------------
% 1.50/0.54  % (1294)------------------------------
% 1.50/0.54  % (1304)Instruction limit reached!
% 1.50/0.54  % (1304)------------------------------
% 1.50/0.54  % (1304)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.50/0.54  % (1304)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.50/0.54  % (1304)Termination reason: Unknown
% 1.50/0.54  % (1304)Termination phase: Saturation
% 1.50/0.54  
% 1.50/0.54  % (1304)Memory used [KB]: 6140
% 1.50/0.54  % (1304)Time elapsed: 0.005 s
% 1.50/0.54  % (1304)Instructions burned: 8 (million)
% 1.50/0.54  % (1304)------------------------------
% 1.50/0.54  % (1304)------------------------------
% 1.50/0.54  % (1298)Instruction limit reached!
% 1.50/0.54  % (1298)------------------------------
% 1.50/0.54  % (1298)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.50/0.54  % (1298)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.50/0.54  % (1298)Termination reason: Unknown
% 1.50/0.54  % (1298)Termination phase: Saturation
% 1.50/0.54  
% 1.50/0.54  % (1298)Memory used [KB]: 1791
% 1.50/0.54  % (1298)Time elapsed: 0.131 s
% 1.50/0.54  % (1298)Instructions burned: 15 (million)
% 1.50/0.54  % (1298)------------------------------
% 1.50/0.54  % (1298)------------------------------
% 1.50/0.55  % (1302)Instruction limit reached!
% 1.50/0.55  % (1302)------------------------------
% 1.50/0.55  % (1302)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.50/0.55  % (1302)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.50/0.55  % (1302)Termination reason: Unknown
% 1.50/0.55  % (1302)Termination phase: Saturation
% 1.50/0.55  
% 1.50/0.55  % (1302)Memory used [KB]: 6652
% 1.50/0.55  % (1302)Time elapsed: 0.106 s
% 1.50/0.55  % (1302)Instructions burned: 33 (million)
% 1.50/0.55  % (1302)------------------------------
% 1.50/0.55  % (1302)------------------------------
% 1.50/0.55  % (1305)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)
% 1.50/0.55  % (1312)Instruction limit reached!
% 1.50/0.55  % (1312)------------------------------
% 1.50/0.55  % (1312)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.50/0.55  % (1312)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.50/0.55  % (1312)Termination reason: Unknown
% 1.50/0.55  % (1312)Termination phase: Saturation
% 1.50/0.55  
% 1.50/0.55  % (1312)Memory used [KB]: 6268
% 1.50/0.55  % (1312)Time elapsed: 0.162 s
% 1.50/0.55  % (1312)Instructions burned: 12 (million)
% 1.50/0.55  % (1312)------------------------------
% 1.50/0.55  % (1312)------------------------------
% 1.50/0.55  % (1321)Instruction limit reached!
% 1.50/0.55  % (1321)------------------------------
% 1.50/0.55  % (1321)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.50/0.55  % (1321)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.50/0.55  % (1321)Termination reason: Unknown
% 1.50/0.55  % (1321)Termination phase: Saturation
% 1.50/0.55  
% 1.50/0.55  % (1321)Memory used [KB]: 6268
% 1.50/0.55  % (1321)Time elapsed: 0.136 s
% 1.50/0.55  % (1321)Instructions burned: 9 (million)
% 1.50/0.55  % (1321)------------------------------
% 1.50/0.55  % (1321)------------------------------
% 1.50/0.55  % (1308)Instruction limit reached!
% 1.50/0.55  % (1308)------------------------------
% 1.50/0.55  % (1308)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.50/0.55  % (1308)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.50/0.55  % (1308)Termination reason: Unknown
% 1.50/0.55  % (1308)Termination phase: Saturation
% 1.50/0.55  
% 1.50/0.55  % (1308)Memory used [KB]: 6140
% 1.50/0.55  % (1308)Time elapsed: 0.006 s
% 1.50/0.55  % (1308)Instructions burned: 8 (million)
% 1.50/0.55  % (1308)------------------------------
% 1.50/0.55  % (1308)------------------------------
% 1.66/0.55  % (1309)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)
% 1.66/0.56  % (1303)Instruction limit reached!
% 1.66/0.56  % (1303)------------------------------
% 1.66/0.56  % (1303)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.66/0.56  % (1303)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.66/0.56  % (1303)Termination reason: Unknown
% 1.66/0.56  % (1303)Termination phase: Saturation
% 1.66/0.56  
% 1.66/0.56  % (1303)Memory used [KB]: 6268
% 1.66/0.56  % (1303)Time elapsed: 0.152 s
% 1.66/0.56  % (1303)Instructions burned: 12 (million)
% 1.66/0.56  % (1303)------------------------------
% 1.66/0.56  % (1303)------------------------------
% 1.66/0.56  % (1317)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)
% 1.66/0.57  % (1297)Instruction limit reached!
% 1.66/0.57  % (1297)------------------------------
% 1.66/0.57  % (1297)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.66/0.57  % (1297)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.66/0.57  % (1297)Termination reason: Unknown
% 1.66/0.57  % (1297)Termination phase: Saturation
% 1.66/0.57  
% 1.66/0.57  % (1297)Memory used [KB]: 6268
% 1.66/0.57  % (1297)Time elapsed: 0.178 s
% 1.66/0.57  % (1297)Instructions burned: 13 (million)
% 1.66/0.57  % (1297)------------------------------
% 1.66/0.57  % (1297)------------------------------
% 1.66/0.57  % (1322)Instruction limit reached!
% 1.66/0.57  % (1322)------------------------------
% 1.66/0.57  % (1322)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.66/0.57  % (1322)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.66/0.57  % (1322)Termination reason: Unknown
% 1.66/0.57  % (1322)Termination phase: Saturation
% 1.66/0.57  
% 1.66/0.57  % (1322)Memory used [KB]: 6396
% 1.66/0.57  % (1322)Time elapsed: 0.166 s
% 1.66/0.57  % (1322)Instructions burned: 24 (million)
% 1.66/0.57  % (1322)------------------------------
% 1.66/0.57  % (1322)------------------------------
% 1.66/0.57  % (1320)Instruction limit reached!
% 1.66/0.57  % (1320)------------------------------
% 1.66/0.57  % (1320)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.66/0.57  % (1320)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.66/0.57  % (1320)Termination reason: Unknown
% 1.66/0.57  % (1320)Termination phase: Saturation
% 1.66/0.57  
% 1.66/0.57  % (1320)Memory used [KB]: 6524
% 1.66/0.57  % (1320)Time elapsed: 0.171 s
% 1.66/0.57  % (1320)Instructions burned: 25 (million)
% 1.66/0.57  % (1320)------------------------------
% 1.66/0.57  % (1320)------------------------------
% 1.66/0.57  % (1305)Instruction limit reached!
% 1.66/0.57  % (1305)------------------------------
% 1.66/0.57  % (1305)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.66/0.57  % (1305)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.66/0.57  % (1305)Termination reason: Unknown
% 1.66/0.57  % (1305)Termination phase: Saturation
% 1.66/0.57  
% 1.66/0.57  % (1305)Memory used [KB]: 1791
% 1.66/0.57  % (1305)Time elapsed: 0.183 s
% 1.66/0.57  % (1305)Instructions burned: 16 (million)
% 1.66/0.57  % (1305)------------------------------
% 1.66/0.57  % (1305)------------------------------
% 1.66/0.57  % (1301)Instruction limit reached!
% 1.66/0.57  % (1301)------------------------------
% 1.66/0.57  % (1301)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.66/0.57  % (1301)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.66/0.57  % (1301)Termination reason: Unknown
% 1.66/0.57  % (1301)Termination phase: Saturation
% 1.66/0.57  
% 1.66/0.57  % (1301)Memory used [KB]: 7164
% 1.66/0.57  % (1301)Time elapsed: 0.147 s
% 1.66/0.57  % (1301)Instructions burned: 49 (million)
% 1.66/0.57  % (1301)------------------------------
% 1.66/0.57  % (1301)------------------------------
% 1.66/0.58  % (1313)Instruction limit reached!
% 1.66/0.58  % (1313)------------------------------
% 1.66/0.58  % (1313)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.66/0.58  % (1313)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.66/0.58  % (1313)Termination reason: Unknown
% 1.66/0.58  % (1313)Termination phase: Saturation
% 1.66/0.58  
% 1.66/0.58  % (1313)Memory used [KB]: 6396
% 1.66/0.58  % (1313)Time elapsed: 0.191 s
% 1.66/0.58  % (1313)Instructions burned: 31 (million)
% 1.66/0.58  % (1313)------------------------------
% 1.66/0.58  % (1313)------------------------------
% 1.66/0.58  % (1319)Instruction limit reached!
% 1.66/0.58  % (1319)------------------------------
% 1.66/0.58  % (1319)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.66/0.58  % (1319)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.66/0.58  % (1319)Termination reason: Unknown
% 1.66/0.58  % (1319)Termination phase: Saturation
% 1.66/0.58  
% 1.66/0.58  % (1319)Memory used [KB]: 7164
% 1.66/0.58  % (1319)Time elapsed: 0.176 s
% 1.66/0.58  % (1319)Instructions burned: 99 (million)
% 1.66/0.58  % (1319)------------------------------
% 1.66/0.58  % (1319)------------------------------
% 1.66/0.59  % (1296)Instruction limit reached!
% 1.66/0.59  % (1296)------------------------------
% 1.66/0.59  % (1296)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.66/0.59  % (1296)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.66/0.59  % (1296)Termination reason: Unknown
% 1.66/0.59  % (1296)Termination phase: Saturation
% 1.66/0.59  
% 1.66/0.59  % (1296)Memory used [KB]: 7164
% 1.66/0.59  % (1296)Time elapsed: 0.199 s
% 1.66/0.59  % (1296)Instructions burned: 52 (million)
% 1.66/0.59  % (1296)------------------------------
% 1.66/0.59  % (1296)------------------------------
% 1.66/0.59  % (1299)Instruction limit reached!
% 1.66/0.59  % (1299)------------------------------
% 1.66/0.59  % (1299)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.66/0.59  % (1299)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.66/0.59  % (1299)Termination reason: Unknown
% 1.66/0.59  % (1299)Termination phase: Saturation
% 1.66/0.59  
% 1.66/0.59  % (1299)Memory used [KB]: 6396
% 1.66/0.59  % (1299)Time elapsed: 0.166 s
% 1.66/0.59  % (1299)Instructions burned: 40 (million)
% 1.66/0.59  % (1299)------------------------------
% 1.66/0.59  % (1299)------------------------------
% 1.66/0.59  % (1324)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 (2998ds/92Mi)
% 1.66/0.61  % (1300)Instruction limit reached!
% 1.66/0.61  % (1300)------------------------------
% 1.66/0.61  % (1300)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.66/0.61  % (1300)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.66/0.61  % (1300)Termination reason: Unknown
% 1.66/0.61  % (1300)Termination phase: Saturation
% 1.66/0.61  
% 1.66/0.61  % (1300)Memory used [KB]: 6780
% 1.66/0.61  % (1300)Time elapsed: 0.174 s
% 1.66/0.61  % (1300)Instructions burned: 39 (million)
% 1.66/0.61  % (1300)------------------------------
% 1.66/0.61  % (1300)------------------------------
% 1.66/0.61  % (1306)Instruction limit reached!
% 1.66/0.61  % (1306)------------------------------
% 1.66/0.61  % (1306)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.66/0.61  % (1306)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.66/0.61  % (1306)Termination reason: Unknown
% 1.66/0.61  % (1306)Termination phase: Saturation
% 1.66/0.61  
% 1.66/0.61  % (1306)Memory used [KB]: 7036
% 1.66/0.61  % (1306)Time elapsed: 0.223 s
% 1.66/0.61  % (1306)Instructions burned: 51 (million)
% 1.66/0.61  % (1306)------------------------------
% 1.66/0.61  % (1306)------------------------------
% 1.66/0.62  % (1316)Instruction limit reached!
% 1.66/0.62  % (1316)------------------------------
% 1.66/0.62  % (1316)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.66/0.62  % (1316)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.66/0.62  % (1316)Termination reason: Unknown
% 1.66/0.62  % (1316)Termination phase: Saturation
% 1.66/0.62  
% 1.66/0.62  % (1316)Memory used [KB]: 2558
% 1.66/0.62  % (1316)Time elapsed: 0.230 s
% 1.66/0.62  % (1316)Instructions burned: 46 (million)
% 1.66/0.62  % (1316)------------------------------
% 1.66/0.62  % (1316)------------------------------
% 2.09/0.63  % (1324)First to succeed.
% 2.09/0.63  % (1309)Instruction limit reached!
% 2.09/0.63  % (1309)------------------------------
% 2.09/0.63  % (1309)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.09/0.63  % (1309)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.09/0.63  % (1309)Termination reason: Unknown
% 2.09/0.63  % (1309)Termination phase: Saturation
% 2.09/0.63  
% 2.09/0.63  % (1309)Memory used [KB]: 6652
% 2.09/0.63  % (1309)Time elapsed: 0.219 s
% 2.09/0.63  % (1309)Instructions burned: 52 (million)
% 2.09/0.63  % (1309)------------------------------
% 2.09/0.63  % (1309)------------------------------
% 2.09/0.63  % (1324)Refutation found. Thanks to Tanya!
% 2.09/0.63  % SZS status Theorem for theBenchmark
% 2.09/0.63  % SZS output start Proof for theBenchmark
% See solution above
% 2.09/0.64  % (1324)------------------------------
% 2.09/0.64  % (1324)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.09/0.64  % (1324)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.09/0.64  % (1324)Termination reason: Refutation
% 2.09/0.64  
% 2.09/0.64  % (1324)Memory used [KB]: 6524
% 2.09/0.64  % (1324)Time elapsed: 0.042 s
% 2.09/0.64  % (1324)Instructions burned: 28 (million)
% 2.09/0.64  % (1324)------------------------------
% 2.09/0.64  % (1324)------------------------------
% 2.09/0.64  % (1292)Success in time 0.278 s
%------------------------------------------------------------------------------