TSTP Solution File: NUM536+1 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : NUM536+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 : n016.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Wed Aug 31 18:00:25 EDT 2022

% Result   : Theorem 2.97s 0.73s
% Output   : Refutation 2.97s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   15
%            Number of leaves      :   18
% Syntax   : Number of formulae    :  105 (  10 unt;   0 def)
%            Number of atoms       :  509 (  88 equ)
%            Maximal formula atoms :   20 (   4 avg)
%            Number of connectives :  651 ( 247   ~; 259   |; 109   &)
%                                         (  28 <=>;   8  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   13 (   6 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :   15 (  13 usr;   7 prp; 0-3 aty)
%            Number of functors    :    6 (   6 usr;   2 con; 0-3 aty)
%            Number of variables   :  163 ( 155   !;   8   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f351,plain,
    $false,
    inference(avatar_sat_refutation,[],[f123,f135,f196,f335,f343,f346,f350]) ).

fof(f350,plain,
    ( ~ spl6_5
    | ~ spl6_6 ),
    inference(avatar_contradiction_clause,[],[f349]) ).

fof(f349,plain,
    ( $false
    | ~ spl6_5
    | ~ spl6_6 ),
    inference(subsumption_resolution,[],[f348,f54]) ).

fof(f54,plain,
    ~ aElementOf0(xx,xS),
    inference(cnf_transformation,[],[f19]) ).

fof(f19,axiom,
    ~ aElementOf0(xx,xS),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__679_02) ).

fof(f348,plain,
    ( aElementOf0(xx,xS)
    | ~ spl6_5
    | ~ spl6_6 ),
    inference(forward_demodulation,[],[f330,f333]) ).

fof(f333,plain,
    ( xx = sK4(xS,xx,sdtpldt0(xS,xx))
    | ~ spl6_6 ),
    inference(avatar_component_clause,[],[f332]) ).

fof(f332,plain,
    ( spl6_6
  <=> xx = sK4(xS,xx,sdtpldt0(xS,xx)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_6])]) ).

fof(f330,plain,
    ( aElementOf0(sK4(xS,xx,sdtpldt0(xS,xx)),xS)
    | ~ spl6_5 ),
    inference(avatar_component_clause,[],[f328]) ).

fof(f328,plain,
    ( spl6_5
  <=> aElementOf0(sK4(xS,xx,sdtpldt0(xS,xx)),xS) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_5])]) ).

fof(f346,plain,
    ( spl6_7
    | ~ spl6_2
    | ~ spl6_4 ),
    inference(avatar_split_clause,[],[f345,f128,f121,f340]) ).

fof(f340,plain,
    ( spl6_7
  <=> aElementOf0(sK4(xS,xx,sdtpldt0(xS,xx)),sdtpldt0(xS,xx)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_7])]) ).

fof(f121,plain,
    ( spl6_2
  <=> ! [X0] :
        ( ~ sP0(X0,xx,sdtpldt0(xS,xx))
        | xS != X0 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_2])]) ).

fof(f128,plain,
    ( spl6_4
  <=> sP3(xx,xS) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_4])]) ).

fof(f345,plain,
    ( aElementOf0(sK4(xS,xx,sdtpldt0(xS,xx)),sdtpldt0(xS,xx))
    | ~ spl6_2
    | ~ spl6_4 ),
    inference(subsumption_resolution,[],[f344,f254]) ).

fof(f254,plain,
    ( ! [X2] :
        ( aElementOf0(X2,sdtpldt0(xS,xx))
        | ~ aElementOf0(X2,xS) )
    | ~ spl6_4 ),
    inference(subsumption_resolution,[],[f250,f98]) ).

fof(f98,plain,
    ! [X9] :
      ( ~ aElementOf0(X9,xS)
      | aElement0(X9) ),
    inference(resolution,[],[f83,f67]) ).

fof(f67,plain,
    ! [X0,X1] :
      ( ~ aSet0(X0)
      | ~ aElementOf0(X1,X0)
      | aElement0(X1) ),
    inference(cnf_transformation,[],[f31]) ).

fof(f31,plain,
    ! [X0] :
      ( ! [X1] :
          ( aElement0(X1)
          | ~ aElementOf0(X1,X0) )
      | ~ aSet0(X0) ),
    inference(ennf_transformation,[],[f3]) ).

fof(f3,axiom,
    ! [X0] :
      ( aSet0(X0)
     => ! [X1] :
          ( aElementOf0(X1,X0)
         => aElement0(X1) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mEOfElem) ).

fof(f83,plain,
    aSet0(xS),
    inference(cnf_transformation,[],[f18]) ).

fof(f18,axiom,
    ( aSet0(xS)
    & aElement0(xx) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__679) ).

fof(f250,plain,
    ( ! [X2] :
        ( aElementOf0(X2,sdtpldt0(xS,xx))
        | ~ aElement0(X2)
        | ~ aElementOf0(X2,xS) )
    | ~ spl6_4 ),
    inference(resolution,[],[f136,f73]) ).

fof(f73,plain,
    ! [X2,X0,X1,X4] :
      ( ~ sP2(X0,X1,X2)
      | ~ aElementOf0(X4,X1)
      | aElementOf0(X4,X2)
      | ~ aElement0(X4) ),
    inference(cnf_transformation,[],[f52]) ).

fof(f52,plain,
    ! [X0,X1,X2] :
      ( ( sP2(X0,X1,X2)
        | ( ( ~ aElement0(sK5(X0,X1,X2))
            | ( sK5(X0,X1,X2) != X0
              & ~ aElementOf0(sK5(X0,X1,X2),X1) )
            | ~ aElementOf0(sK5(X0,X1,X2),X2) )
          & ( ( aElement0(sK5(X0,X1,X2))
              & ( sK5(X0,X1,X2) = X0
                | aElementOf0(sK5(X0,X1,X2),X1) ) )
            | aElementOf0(sK5(X0,X1,X2),X2) ) )
        | ~ aSet0(X2) )
      & ( ( ! [X4] :
              ( ( aElementOf0(X4,X2)
                | ~ aElement0(X4)
                | ( X0 != X4
                  & ~ aElementOf0(X4,X1) ) )
              & ( ( aElement0(X4)
                  & ( X0 = X4
                    | aElementOf0(X4,X1) ) )
                | ~ aElementOf0(X4,X2) ) )
          & aSet0(X2) )
        | ~ sP2(X0,X1,X2) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK5])],[f50,f51]) ).

fof(f51,plain,
    ! [X0,X1,X2] :
      ( ? [X3] :
          ( ( ~ aElement0(X3)
            | ( X0 != X3
              & ~ aElementOf0(X3,X1) )
            | ~ aElementOf0(X3,X2) )
          & ( ( aElement0(X3)
              & ( X0 = X3
                | aElementOf0(X3,X1) ) )
            | aElementOf0(X3,X2) ) )
     => ( ( ~ aElement0(sK5(X0,X1,X2))
          | ( sK5(X0,X1,X2) != X0
            & ~ aElementOf0(sK5(X0,X1,X2),X1) )
          | ~ aElementOf0(sK5(X0,X1,X2),X2) )
        & ( ( aElement0(sK5(X0,X1,X2))
            & ( sK5(X0,X1,X2) = X0
              | aElementOf0(sK5(X0,X1,X2),X1) ) )
          | aElementOf0(sK5(X0,X1,X2),X2) ) ) ),
    introduced(choice_axiom,[]) ).

fof(f50,plain,
    ! [X0,X1,X2] :
      ( ( sP2(X0,X1,X2)
        | ? [X3] :
            ( ( ~ aElement0(X3)
              | ( X0 != X3
                & ~ aElementOf0(X3,X1) )
              | ~ aElementOf0(X3,X2) )
            & ( ( aElement0(X3)
                & ( X0 = X3
                  | aElementOf0(X3,X1) ) )
              | aElementOf0(X3,X2) ) )
        | ~ aSet0(X2) )
      & ( ( ! [X4] :
              ( ( aElementOf0(X4,X2)
                | ~ aElement0(X4)
                | ( X0 != X4
                  & ~ aElementOf0(X4,X1) ) )
              & ( ( aElement0(X4)
                  & ( X0 = X4
                    | aElementOf0(X4,X1) ) )
                | ~ aElementOf0(X4,X2) ) )
          & aSet0(X2) )
        | ~ sP2(X0,X1,X2) ) ),
    inference(rectify,[],[f49]) ).

fof(f49,plain,
    ! [X0,X1,X2] :
      ( ( sP2(X0,X1,X2)
        | ? [X3] :
            ( ( ~ aElement0(X3)
              | ( X0 != X3
                & ~ aElementOf0(X3,X1) )
              | ~ aElementOf0(X3,X2) )
            & ( ( aElement0(X3)
                & ( X0 = X3
                  | aElementOf0(X3,X1) ) )
              | aElementOf0(X3,X2) ) )
        | ~ aSet0(X2) )
      & ( ( ! [X3] :
              ( ( aElementOf0(X3,X2)
                | ~ aElement0(X3)
                | ( X0 != X3
                  & ~ aElementOf0(X3,X1) ) )
              & ( ( aElement0(X3)
                  & ( X0 = X3
                    | aElementOf0(X3,X1) ) )
                | ~ aElementOf0(X3,X2) ) )
          & aSet0(X2) )
        | ~ sP2(X0,X1,X2) ) ),
    inference(flattening,[],[f48]) ).

fof(f48,plain,
    ! [X0,X1,X2] :
      ( ( sP2(X0,X1,X2)
        | ? [X3] :
            ( ( ~ aElement0(X3)
              | ( X0 != X3
                & ~ aElementOf0(X3,X1) )
              | ~ aElementOf0(X3,X2) )
            & ( ( aElement0(X3)
                & ( X0 = X3
                  | aElementOf0(X3,X1) ) )
              | aElementOf0(X3,X2) ) )
        | ~ aSet0(X2) )
      & ( ( ! [X3] :
              ( ( aElementOf0(X3,X2)
                | ~ aElement0(X3)
                | ( X0 != X3
                  & ~ aElementOf0(X3,X1) ) )
              & ( ( aElement0(X3)
                  & ( X0 = X3
                    | aElementOf0(X3,X1) ) )
                | ~ aElementOf0(X3,X2) ) )
          & aSet0(X2) )
        | ~ sP2(X0,X1,X2) ) ),
    inference(nnf_transformation,[],[f36]) ).

fof(f36,plain,
    ! [X0,X1,X2] :
      ( sP2(X0,X1,X2)
    <=> ( ! [X3] :
            ( aElementOf0(X3,X2)
          <=> ( aElement0(X3)
              & ( X0 = X3
                | aElementOf0(X3,X1) ) ) )
        & aSet0(X2) ) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP2])]) ).

fof(f136,plain,
    ( sP2(xx,xS,sdtpldt0(xS,xx))
    | ~ spl6_4 ),
    inference(resolution,[],[f129,f86]) ).

fof(f86,plain,
    ! [X0,X1] :
      ( sP2(X0,X1,sdtpldt0(X1,X0))
      | ~ sP3(X0,X1) ),
    inference(equality_resolution,[],[f69]) ).

fof(f69,plain,
    ! [X2,X0,X1] :
      ( sP2(X0,X1,X2)
      | sdtpldt0(X1,X0) != X2
      | ~ sP3(X0,X1) ),
    inference(cnf_transformation,[],[f47]) ).

fof(f47,plain,
    ! [X0,X1] :
      ( ! [X2] :
          ( ( sP2(X0,X1,X2)
            | sdtpldt0(X1,X0) != X2 )
          & ( sdtpldt0(X1,X0) = X2
            | ~ sP2(X0,X1,X2) ) )
      | ~ sP3(X0,X1) ),
    inference(nnf_transformation,[],[f37]) ).

fof(f37,plain,
    ! [X0,X1] :
      ( ! [X2] :
          ( sP2(X0,X1,X2)
        <=> sdtpldt0(X1,X0) = X2 )
      | ~ sP3(X0,X1) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP3])]) ).

fof(f129,plain,
    ( sP3(xx,xS)
    | ~ spl6_4 ),
    inference(avatar_component_clause,[],[f128]) ).

fof(f344,plain,
    ( aElementOf0(sK4(xS,xx,sdtpldt0(xS,xx)),sdtpldt0(xS,xx))
    | aElementOf0(sK4(xS,xx,sdtpldt0(xS,xx)),xS)
    | ~ spl6_2 ),
    inference(subsumption_resolution,[],[f319,f83]) ).

fof(f319,plain,
    ( aElementOf0(sK4(xS,xx,sdtpldt0(xS,xx)),sdtpldt0(xS,xx))
    | ~ aSet0(xS)
    | aElementOf0(sK4(xS,xx,sdtpldt0(xS,xx)),xS)
    | ~ spl6_2 ),
    inference(resolution,[],[f289,f62]) ).

fof(f62,plain,
    ! [X2,X0,X1] :
      ( sP0(X0,X1,X2)
      | aElementOf0(sK4(X0,X1,X2),X2)
      | ~ aSet0(X0)
      | aElementOf0(sK4(X0,X1,X2),X0) ),
    inference(cnf_transformation,[],[f45]) ).

fof(f45,plain,
    ! [X0,X1,X2] :
      ( ( sP0(X0,X1,X2)
        | ~ aSet0(X0)
        | ( ( ~ aElementOf0(sK4(X0,X1,X2),X0)
            | sK4(X0,X1,X2) = X1
            | ~ aElement0(sK4(X0,X1,X2))
            | ~ aElementOf0(sK4(X0,X1,X2),X2) )
          & ( aElementOf0(sK4(X0,X1,X2),X0)
            | ( sK4(X0,X1,X2) != X1
              & aElement0(sK4(X0,X1,X2))
              & aElementOf0(sK4(X0,X1,X2),X2) ) ) ) )
      & ( ( aSet0(X0)
          & ! [X4] :
              ( ( ( X1 != X4
                  & aElement0(X4)
                  & aElementOf0(X4,X2) )
                | ~ aElementOf0(X4,X0) )
              & ( aElementOf0(X4,X0)
                | X1 = X4
                | ~ aElement0(X4)
                | ~ aElementOf0(X4,X2) ) ) )
        | ~ sP0(X0,X1,X2) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK4])],[f43,f44]) ).

fof(f44,plain,
    ! [X0,X1,X2] :
      ( ? [X3] :
          ( ( ~ aElementOf0(X3,X0)
            | X1 = X3
            | ~ aElement0(X3)
            | ~ aElementOf0(X3,X2) )
          & ( aElementOf0(X3,X0)
            | ( X1 != X3
              & aElement0(X3)
              & aElementOf0(X3,X2) ) ) )
     => ( ( ~ aElementOf0(sK4(X0,X1,X2),X0)
          | sK4(X0,X1,X2) = X1
          | ~ aElement0(sK4(X0,X1,X2))
          | ~ aElementOf0(sK4(X0,X1,X2),X2) )
        & ( aElementOf0(sK4(X0,X1,X2),X0)
          | ( sK4(X0,X1,X2) != X1
            & aElement0(sK4(X0,X1,X2))
            & aElementOf0(sK4(X0,X1,X2),X2) ) ) ) ),
    introduced(choice_axiom,[]) ).

fof(f43,plain,
    ! [X0,X1,X2] :
      ( ( sP0(X0,X1,X2)
        | ~ aSet0(X0)
        | ? [X3] :
            ( ( ~ aElementOf0(X3,X0)
              | X1 = X3
              | ~ aElement0(X3)
              | ~ aElementOf0(X3,X2) )
            & ( aElementOf0(X3,X0)
              | ( X1 != X3
                & aElement0(X3)
                & aElementOf0(X3,X2) ) ) ) )
      & ( ( aSet0(X0)
          & ! [X4] :
              ( ( ( X1 != X4
                  & aElement0(X4)
                  & aElementOf0(X4,X2) )
                | ~ aElementOf0(X4,X0) )
              & ( aElementOf0(X4,X0)
                | X1 = X4
                | ~ aElement0(X4)
                | ~ aElementOf0(X4,X2) ) ) )
        | ~ sP0(X0,X1,X2) ) ),
    inference(rectify,[],[f42]) ).

fof(f42,plain,
    ! [X2,X0,X1] :
      ( ( sP0(X2,X0,X1)
        | ~ aSet0(X2)
        | ? [X3] :
            ( ( ~ aElementOf0(X3,X2)
              | X0 = X3
              | ~ aElement0(X3)
              | ~ aElementOf0(X3,X1) )
            & ( aElementOf0(X3,X2)
              | ( X0 != X3
                & aElement0(X3)
                & aElementOf0(X3,X1) ) ) ) )
      & ( ( aSet0(X2)
          & ! [X3] :
              ( ( ( X0 != X3
                  & aElement0(X3)
                  & aElementOf0(X3,X1) )
                | ~ aElementOf0(X3,X2) )
              & ( aElementOf0(X3,X2)
                | X0 = X3
                | ~ aElement0(X3)
                | ~ aElementOf0(X3,X1) ) ) )
        | ~ sP0(X2,X0,X1) ) ),
    inference(flattening,[],[f41]) ).

fof(f41,plain,
    ! [X2,X0,X1] :
      ( ( sP0(X2,X0,X1)
        | ~ aSet0(X2)
        | ? [X3] :
            ( ( ~ aElementOf0(X3,X2)
              | X0 = X3
              | ~ aElement0(X3)
              | ~ aElementOf0(X3,X1) )
            & ( aElementOf0(X3,X2)
              | ( X0 != X3
                & aElement0(X3)
                & aElementOf0(X3,X1) ) ) ) )
      & ( ( aSet0(X2)
          & ! [X3] :
              ( ( ( X0 != X3
                  & aElement0(X3)
                  & aElementOf0(X3,X1) )
                | ~ aElementOf0(X3,X2) )
              & ( aElementOf0(X3,X2)
                | X0 = X3
                | ~ aElement0(X3)
                | ~ aElementOf0(X3,X1) ) ) )
        | ~ sP0(X2,X0,X1) ) ),
    inference(nnf_transformation,[],[f33]) ).

fof(f33,plain,
    ! [X2,X0,X1] :
      ( sP0(X2,X0,X1)
    <=> ( aSet0(X2)
        & ! [X3] :
            ( ( X0 != X3
              & aElement0(X3)
              & aElementOf0(X3,X1) )
          <=> aElementOf0(X3,X2) ) ) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).

fof(f289,plain,
    ( ~ sP0(xS,xx,sdtpldt0(xS,xx))
    | ~ spl6_2 ),
    inference(equality_resolution,[],[f122]) ).

fof(f122,plain,
    ( ! [X0] :
        ( xS != X0
        | ~ sP0(X0,xx,sdtpldt0(xS,xx)) )
    | ~ spl6_2 ),
    inference(avatar_component_clause,[],[f121]) ).

fof(f343,plain,
    ( ~ spl6_7
    | spl6_6
    | ~ spl6_2
    | ~ spl6_4 ),
    inference(avatar_split_clause,[],[f338,f128,f121,f332,f340]) ).

fof(f338,plain,
    ( xx = sK4(xS,xx,sdtpldt0(xS,xx))
    | ~ aElementOf0(sK4(xS,xx,sdtpldt0(xS,xx)),sdtpldt0(xS,xx))
    | ~ spl6_2
    | ~ spl6_4 ),
    inference(subsumption_resolution,[],[f337,f246]) ).

fof(f246,plain,
    ( ! [X0] :
        ( ~ aElementOf0(X0,sdtpldt0(xS,xx))
        | aElementOf0(X0,xS)
        | xx = X0 )
    | ~ spl6_4 ),
    inference(resolution,[],[f136,f71]) ).

fof(f71,plain,
    ! [X2,X0,X1,X4] :
      ( ~ sP2(X0,X1,X2)
      | X0 = X4
      | ~ aElementOf0(X4,X2)
      | aElementOf0(X4,X1) ),
    inference(cnf_transformation,[],[f52]) ).

fof(f337,plain,
    ( ~ aElementOf0(sK4(xS,xx,sdtpldt0(xS,xx)),sdtpldt0(xS,xx))
    | xx = sK4(xS,xx,sdtpldt0(xS,xx))
    | ~ aElementOf0(sK4(xS,xx,sdtpldt0(xS,xx)),xS)
    | ~ spl6_2 ),
    inference(subsumption_resolution,[],[f336,f83]) ).

fof(f336,plain,
    ( xx = sK4(xS,xx,sdtpldt0(xS,xx))
    | ~ aElementOf0(sK4(xS,xx,sdtpldt0(xS,xx)),sdtpldt0(xS,xx))
    | ~ aSet0(xS)
    | ~ aElementOf0(sK4(xS,xx,sdtpldt0(xS,xx)),xS)
    | ~ spl6_2 ),
    inference(subsumption_resolution,[],[f318,f325]) ).

fof(f325,plain,
    ( aElement0(sK4(xS,xx,sdtpldt0(xS,xx)))
    | ~ spl6_2 ),
    inference(subsumption_resolution,[],[f324,f98]) ).

fof(f324,plain,
    ( aElementOf0(sK4(xS,xx,sdtpldt0(xS,xx)),xS)
    | aElement0(sK4(xS,xx,sdtpldt0(xS,xx)))
    | ~ spl6_2 ),
    inference(subsumption_resolution,[],[f321,f83]) ).

fof(f321,plain,
    ( aElement0(sK4(xS,xx,sdtpldt0(xS,xx)))
    | aElementOf0(sK4(xS,xx,sdtpldt0(xS,xx)),xS)
    | ~ aSet0(xS)
    | ~ spl6_2 ),
    inference(resolution,[],[f289,f63]) ).

fof(f63,plain,
    ! [X2,X0,X1] :
      ( ~ aSet0(X0)
      | sP0(X0,X1,X2)
      | aElement0(sK4(X0,X1,X2))
      | aElementOf0(sK4(X0,X1,X2),X0) ),
    inference(cnf_transformation,[],[f45]) ).

fof(f318,plain,
    ( ~ aElement0(sK4(xS,xx,sdtpldt0(xS,xx)))
    | ~ aElementOf0(sK4(xS,xx,sdtpldt0(xS,xx)),xS)
    | xx = sK4(xS,xx,sdtpldt0(xS,xx))
    | ~ aElementOf0(sK4(xS,xx,sdtpldt0(xS,xx)),sdtpldt0(xS,xx))
    | ~ aSet0(xS)
    | ~ spl6_2 ),
    inference(resolution,[],[f289,f65]) ).

fof(f65,plain,
    ! [X2,X0,X1] :
      ( ~ aElementOf0(sK4(X0,X1,X2),X0)
      | ~ aElementOf0(sK4(X0,X1,X2),X2)
      | ~ aSet0(X0)
      | sP0(X0,X1,X2)
      | sK4(X0,X1,X2) = X1
      | ~ aElement0(sK4(X0,X1,X2)) ),
    inference(cnf_transformation,[],[f45]) ).

fof(f335,plain,
    ( spl6_5
    | ~ spl6_6
    | ~ spl6_2 ),
    inference(avatar_split_clause,[],[f326,f121,f332,f328]) ).

fof(f326,plain,
    ( xx != sK4(xS,xx,sdtpldt0(xS,xx))
    | aElementOf0(sK4(xS,xx,sdtpldt0(xS,xx)),xS)
    | ~ spl6_2 ),
    inference(subsumption_resolution,[],[f320,f83]) ).

fof(f320,plain,
    ( ~ aSet0(xS)
    | xx != sK4(xS,xx,sdtpldt0(xS,xx))
    | aElementOf0(sK4(xS,xx,sdtpldt0(xS,xx)),xS)
    | ~ spl6_2 ),
    inference(resolution,[],[f289,f64]) ).

fof(f64,plain,
    ! [X2,X0,X1] :
      ( sP0(X0,X1,X2)
      | ~ aSet0(X0)
      | sK4(X0,X1,X2) != X1
      | aElementOf0(sK4(X0,X1,X2),X0) ),
    inference(cnf_transformation,[],[f45]) ).

fof(f196,plain,
    ( spl6_1
    | ~ spl6_4 ),
    inference(avatar_contradiction_clause,[],[f195]) ).

fof(f195,plain,
    ( $false
    | spl6_1
    | ~ spl6_4 ),
    inference(subsumption_resolution,[],[f192,f129]) ).

fof(f192,plain,
    ( ~ sP3(xx,xS)
    | spl6_1
    | ~ spl6_4 ),
    inference(resolution,[],[f157,f86]) ).

fof(f157,plain,
    ( ! [X0] : ~ sP2(xx,xS,X0)
    | spl6_1
    | ~ spl6_4 ),
    inference(subsumption_resolution,[],[f156,f70]) ).

fof(f70,plain,
    ! [X2,X0,X1] :
      ( aSet0(X2)
      | ~ sP2(X0,X1,X2) ),
    inference(cnf_transformation,[],[f52]) ).

fof(f156,plain,
    ( ! [X0] :
        ( ~ sP2(xx,xS,X0)
        | ~ aSet0(X0) )
    | spl6_1
    | ~ spl6_4 ),
    inference(subsumption_resolution,[],[f155,f129]) ).

fof(f155,plain,
    ( ! [X0] :
        ( ~ sP2(xx,xS,X0)
        | ~ sP3(xx,xS)
        | ~ aSet0(X0) )
    | spl6_1 ),
    inference(superposition,[],[f152,f68]) ).

fof(f68,plain,
    ! [X2,X0,X1] :
      ( ~ sP2(X0,X1,X2)
      | ~ sP3(X0,X1)
      | sdtpldt0(X1,X0) = X2 ),
    inference(cnf_transformation,[],[f47]) ).

fof(f152,plain,
    ( ~ aSet0(sdtpldt0(xS,xx))
    | spl6_1 ),
    inference(subsumption_resolution,[],[f149,f82]) ).

fof(f82,plain,
    aElement0(xx),
    inference(cnf_transformation,[],[f18]) ).

fof(f149,plain,
    ( ~ aSet0(sdtpldt0(xS,xx))
    | ~ aElement0(xx)
    | spl6_1 ),
    inference(resolution,[],[f119,f66]) ).

fof(f66,plain,
    ! [X0,X1] :
      ( ~ aSet0(X0)
      | sP1(X0,X1)
      | ~ aElement0(X1) ),
    inference(cnf_transformation,[],[f46]) ).

fof(f46,plain,
    ! [X0,X1] :
      ( ~ aSet0(X0)
      | ~ aElement0(X1)
      | sP1(X0,X1) ),
    inference(rectify,[],[f35]) ).

fof(f35,plain,
    ! [X1,X0] :
      ( ~ aSet0(X1)
      | ~ aElement0(X0)
      | sP1(X1,X0) ),
    inference(definition_folding,[],[f28,f34,f33]) ).

fof(f34,plain,
    ! [X1,X0] :
      ( ! [X2] :
          ( sdtmndt0(X1,X0) = X2
        <=> sP0(X2,X0,X1) )
      | ~ sP1(X1,X0) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).

fof(f28,plain,
    ! [X1,X0] :
      ( ~ aSet0(X1)
      | ~ aElement0(X0)
      | ! [X2] :
          ( sdtmndt0(X1,X0) = X2
        <=> ( aSet0(X2)
            & ! [X3] :
                ( ( X0 != X3
                  & aElement0(X3)
                  & aElementOf0(X3,X1) )
              <=> aElementOf0(X3,X2) ) ) ) ),
    inference(flattening,[],[f27]) ).

fof(f27,plain,
    ! [X1,X0] :
      ( ! [X2] :
          ( sdtmndt0(X1,X0) = X2
        <=> ( aSet0(X2)
            & ! [X3] :
                ( ( X0 != X3
                  & aElement0(X3)
                  & aElementOf0(X3,X1) )
              <=> aElementOf0(X3,X2) ) ) )
      | ~ aSet0(X1)
      | ~ aElement0(X0) ),
    inference(ennf_transformation,[],[f23]) ).

fof(f23,plain,
    ! [X1,X0] :
      ( ( aSet0(X1)
        & aElement0(X0) )
     => ! [X2] :
          ( sdtmndt0(X1,X0) = X2
        <=> ( aSet0(X2)
            & ! [X3] :
                ( ( X0 != X3
                  & aElement0(X3)
                  & aElementOf0(X3,X1) )
              <=> aElementOf0(X3,X2) ) ) ) ),
    inference(rectify,[],[f16]) ).

fof(f16,axiom,
    ! [X1,X0] :
      ( ( aElement0(X1)
        & aSet0(X0) )
     => ! [X2] :
          ( ( aSet0(X2)
            & ! [X3] :
                ( aElementOf0(X3,X2)
              <=> ( X1 != X3
                  & aElement0(X3)
                  & aElementOf0(X3,X0) ) ) )
        <=> sdtmndt0(X0,X1) = X2 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefDiff) ).

fof(f119,plain,
    ( ~ sP1(sdtpldt0(xS,xx),xx)
    | spl6_1 ),
    inference(avatar_component_clause,[],[f117]) ).

fof(f117,plain,
    ( spl6_1
  <=> sP1(sdtpldt0(xS,xx),xx) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_1])]) ).

fof(f135,plain,
    spl6_4,
    inference(avatar_contradiction_clause,[],[f134]) ).

fof(f134,plain,
    ( $false
    | spl6_4 ),
    inference(subsumption_resolution,[],[f133,f83]) ).

fof(f133,plain,
    ( ~ aSet0(xS)
    | spl6_4 ),
    inference(subsumption_resolution,[],[f132,f82]) ).

fof(f132,plain,
    ( ~ aElement0(xx)
    | ~ aSet0(xS)
    | spl6_4 ),
    inference(resolution,[],[f130,f79]) ).

fof(f79,plain,
    ! [X0,X1] :
      ( ~ aElement0(X1)
      | ~ aSet0(X0)
      | sP3(X1,X0) ),
    inference(cnf_transformation,[],[f53]) ).

fof(f53,plain,
    ! [X0,X1] :
      ( ~ aSet0(X0)
      | ~ aElement0(X1)
      | sP3(X1,X0) ),
    inference(rectify,[],[f38]) ).

fof(f38,plain,
    ! [X1,X0] :
      ( ~ aSet0(X1)
      | ~ aElement0(X0)
      | sP3(X0,X1) ),
    inference(definition_folding,[],[f30,f37,f36]) ).

fof(f30,plain,
    ! [X1,X0] :
      ( ~ aSet0(X1)
      | ~ aElement0(X0)
      | ! [X2] :
          ( ( ! [X3] :
                ( aElementOf0(X3,X2)
              <=> ( aElement0(X3)
                  & ( X0 = X3
                    | aElementOf0(X3,X1) ) ) )
            & aSet0(X2) )
        <=> sdtpldt0(X1,X0) = X2 ) ),
    inference(flattening,[],[f29]) ).

fof(f29,plain,
    ! [X1,X0] :
      ( ! [X2] :
          ( ( ! [X3] :
                ( aElementOf0(X3,X2)
              <=> ( aElement0(X3)
                  & ( X0 = X3
                    | aElementOf0(X3,X1) ) ) )
            & aSet0(X2) )
        <=> sdtpldt0(X1,X0) = X2 )
      | ~ aElement0(X0)
      | ~ aSet0(X1) ),
    inference(ennf_transformation,[],[f24]) ).

fof(f24,plain,
    ! [X1,X0] :
      ( ( aElement0(X0)
        & aSet0(X1) )
     => ! [X2] :
          ( ( ! [X3] :
                ( aElementOf0(X3,X2)
              <=> ( aElement0(X3)
                  & ( X0 = X3
                    | aElementOf0(X3,X1) ) ) )
            & aSet0(X2) )
        <=> sdtpldt0(X1,X0) = X2 ) ),
    inference(rectify,[],[f15]) ).

fof(f15,axiom,
    ! [X1,X0] :
      ( ( aElement0(X1)
        & aSet0(X0) )
     => ! [X2] :
          ( ( aSet0(X2)
            & ! [X3] :
                ( aElementOf0(X3,X2)
              <=> ( aElement0(X3)
                  & ( aElementOf0(X3,X0)
                    | X1 = X3 ) ) ) )
        <=> sdtpldt0(X0,X1) = X2 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefCons) ).

fof(f130,plain,
    ( ~ sP3(xx,xS)
    | spl6_4 ),
    inference(avatar_component_clause,[],[f128]) ).

fof(f123,plain,
    ( ~ spl6_1
    | spl6_2 ),
    inference(avatar_split_clause,[],[f115,f121,f117]) ).

fof(f115,plain,
    ! [X0] :
      ( ~ sP0(X0,xx,sdtpldt0(xS,xx))
      | xS != X0
      | ~ sP1(sdtpldt0(xS,xx),xx) ),
    inference(superposition,[],[f81,f56]) ).

fof(f56,plain,
    ! [X2,X0,X1] :
      ( ~ sP0(X2,X1,X0)
      | ~ sP1(X0,X1)
      | sdtmndt0(X0,X1) = X2 ),
    inference(cnf_transformation,[],[f40]) ).

fof(f40,plain,
    ! [X0,X1] :
      ( ! [X2] :
          ( ( sdtmndt0(X0,X1) = X2
            | ~ sP0(X2,X1,X0) )
          & ( sP0(X2,X1,X0)
            | sdtmndt0(X0,X1) != X2 ) )
      | ~ sP1(X0,X1) ),
    inference(rectify,[],[f39]) ).

fof(f39,plain,
    ! [X1,X0] :
      ( ! [X2] :
          ( ( sdtmndt0(X1,X0) = X2
            | ~ sP0(X2,X0,X1) )
          & ( sP0(X2,X0,X1)
            | sdtmndt0(X1,X0) != X2 ) )
      | ~ sP1(X1,X0) ),
    inference(nnf_transformation,[],[f34]) ).

fof(f81,plain,
    xS != sdtmndt0(sdtpldt0(xS,xx),xx),
    inference(cnf_transformation,[],[f22]) ).

fof(f22,plain,
    xS != sdtmndt0(sdtpldt0(xS,xx),xx),
    inference(flattening,[],[f21]) ).

fof(f21,negated_conjecture,
    xS != sdtmndt0(sdtpldt0(xS,xx),xx),
    inference(negated_conjecture,[],[f20]) ).

fof(f20,conjecture,
    xS = sdtmndt0(sdtpldt0(xS,xx),xx),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem    : NUM536+1 : TPTP v8.1.0. Released v4.0.0.
% 0.11/0.13  % 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 : n016.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 07:31:30 EDT 2022
% 0.13/0.35  % CPUTime    : 
% 0.20/0.55  % (2164)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)
% 0.20/0.55  % (2165)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)
% 0.20/0.56  % (2172)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)
% 0.20/0.56  % (2180)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)
% 0.20/0.57  % (2173)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)
% 0.20/0.57  % (2171)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)
% 0.20/0.57  % (2163)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)
% 0.20/0.58  % (2181)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)
% 0.20/0.58  % (2172)Instruction limit reached!
% 0.20/0.58  % (2172)------------------------------
% 0.20/0.58  % (2172)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.58  % (2171)Instruction limit reached!
% 0.20/0.58  % (2171)------------------------------
% 0.20/0.58  % (2171)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.58  % (2179)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)
% 0.20/0.59  % (2172)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.59  % (2172)Termination reason: Unknown
% 0.20/0.59  % (2172)Termination phase: Saturation
% 0.20/0.59  
% 0.20/0.59  % (2172)Memory used [KB]: 6012
% 0.20/0.59  % (2172)Time elapsed: 0.157 s
% 0.20/0.59  % (2172)Instructions burned: 7 (million)
% 0.20/0.59  % (2172)------------------------------
% 0.20/0.59  % (2172)------------------------------
% 0.20/0.59  % (2171)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.59  % (2171)Termination reason: Unknown
% 0.20/0.59  % (2171)Termination phase: Property scanning
% 0.20/0.59  
% 0.20/0.59  % (2171)Memory used [KB]: 1407
% 0.20/0.59  % (2171)Time elapsed: 0.005 s
% 0.20/0.59  % (2171)Instructions burned: 3 (million)
% 0.20/0.59  % (2171)------------------------------
% 0.20/0.59  % (2171)------------------------------
% 0.20/0.60  % (2185)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)
% 0.20/0.60  % (2160)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)
% 0.20/0.60  % (2162)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)
% 0.20/0.60  % (2169)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)
% 0.20/0.61  % (2178)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)
% 0.20/0.61  % (2161)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)
% 0.20/0.61  % (2162)Refutation not found, incomplete strategy% (2162)------------------------------
% 0.20/0.61  % (2162)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.61  % (2162)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.61  % (2162)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.61  
% 0.20/0.61  % (2162)Memory used [KB]: 1535
% 0.20/0.61  % (2162)Time elapsed: 0.182 s
% 0.20/0.61  % (2162)Instructions burned: 3 (million)
% 0.20/0.61  % (2162)------------------------------
% 0.20/0.61  % (2162)------------------------------
% 0.20/0.61  % (2178)Refutation not found, incomplete strategy% (2178)------------------------------
% 0.20/0.61  % (2178)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.61  % (2178)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.61  % (2178)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.61  
% 0.20/0.61  % (2178)Memory used [KB]: 6012
% 0.20/0.61  % (2178)Time elapsed: 0.185 s
% 0.20/0.61  % (2178)Instructions burned: 4 (million)
% 0.20/0.61  % (2178)------------------------------
% 0.20/0.61  % (2178)------------------------------
% 0.20/0.61  % (2169)Refutation not found, incomplete strategy% (2169)------------------------------
% 0.20/0.61  % (2169)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.61  % (2169)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.61  % (2169)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.61  
% 0.20/0.61  % (2169)Memory used [KB]: 1535
% 0.20/0.61  % (2169)Time elapsed: 0.186 s
% 0.20/0.61  % (2169)Instructions burned: 3 (million)
% 0.20/0.61  % (2169)------------------------------
% 0.20/0.61  % (2169)------------------------------
% 0.20/0.62  % (2183)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)
% 0.20/0.62  % (2182)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)
% 0.20/0.62  % (2185)Instruction limit reached!
% 0.20/0.62  % (2185)------------------------------
% 0.20/0.62  % (2185)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.62  % (2185)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.62  % (2185)Termination reason: Unknown
% 0.20/0.62  % (2185)Termination phase: Saturation
% 0.20/0.62  
% 0.20/0.62  % (2185)Memory used [KB]: 6140
% 0.20/0.62  % (2185)Time elapsed: 0.189 s
% 0.20/0.62  % (2185)Instructions burned: 9 (million)
% 0.20/0.62  % (2185)------------------------------
% 0.20/0.62  % (2185)------------------------------
% 0.20/0.62  % (2186)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)
% 0.20/0.62  % (2177)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)
% 0.20/0.62  % (2166)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)
% 0.20/0.62  % (2167)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)
% 0.20/0.62  % (2161)Instruction limit reached!
% 0.20/0.62  % (2161)------------------------------
% 0.20/0.62  % (2161)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.62  % (2161)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.62  % (2161)Termination reason: Unknown
% 0.20/0.62  % (2161)Termination phase: Saturation
% 0.20/0.62  
% 0.20/0.62  % (2161)Memory used [KB]: 6140
% 0.20/0.62  % (2161)Time elapsed: 0.189 s
% 0.20/0.62  % (2161)Instructions burned: 14 (million)
% 0.20/0.62  % (2161)------------------------------
% 0.20/0.62  % (2161)------------------------------
% 0.20/0.62  % (2167)Refutation not found, incomplete strategy% (2167)------------------------------
% 0.20/0.62  % (2167)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.62  % (2167)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.62  % (2167)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.62  
% 0.20/0.62  % (2167)Memory used [KB]: 6012
% 0.20/0.62  % (2167)Time elapsed: 0.193 s
% 0.20/0.62  % (2167)Instructions burned: 3 (million)
% 0.20/0.62  % (2167)------------------------------
% 0.20/0.62  % (2167)------------------------------
% 0.20/0.62  % (2159)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)
% 0.20/0.63  % (2159)Instruction limit reached!
% 0.20/0.63  % (2159)------------------------------
% 0.20/0.63  % (2159)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.63  % (2159)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.63  % (2159)Termination reason: Unknown
% 0.20/0.63  % (2159)Termination phase: Saturation
% 0.20/0.63  
% 0.20/0.63  % (2159)Memory used [KB]: 5884
% 0.20/0.63  % (2159)Time elapsed: 0.005 s
% 0.20/0.63  % (2159)Instructions burned: 3 (million)
% 0.20/0.63  % (2159)------------------------------
% 0.20/0.63  % (2159)------------------------------
% 0.20/0.63  % (2175)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)
% 0.20/0.63  % (2175)Instruction limit reached!
% 0.20/0.63  % (2175)------------------------------
% 0.20/0.63  % (2175)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.63  % (2175)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.63  % (2175)Termination reason: Unknown
% 0.20/0.63  % (2175)Termination phase: Saturation
% 0.20/0.63  
% 0.20/0.63  % (2175)Memory used [KB]: 1407
% 0.20/0.63  % (2175)Time elapsed: 0.003 s
% 0.20/0.63  % (2175)Instructions burned: 3 (million)
% 0.20/0.63  % (2175)------------------------------
% 0.20/0.63  % (2175)------------------------------
% 0.20/0.63  % (2163)Instruction limit reached!
% 0.20/0.63  % (2163)------------------------------
% 0.20/0.63  % (2163)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.63  % (2163)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.63  % (2163)Termination reason: Unknown
% 0.20/0.63  % (2163)Termination phase: Saturation
% 0.20/0.63  
% 0.20/0.63  % (2163)Memory used [KB]: 6396
% 0.20/0.63  % (2163)Time elapsed: 0.192 s
% 0.20/0.63  % (2163)Instructions burned: 39 (million)
% 0.20/0.63  % (2163)------------------------------
% 0.20/0.63  % (2163)------------------------------
% 0.20/0.63  % (2158)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)
% 0.20/0.63  % (2174)fmb+10_1:1_nm=2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.20/0.63  % (2170)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)
% 0.20/0.63  % (2174)Instruction limit reached!
% 0.20/0.63  % (2174)------------------------------
% 0.20/0.63  % (2174)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.63  % (2174)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.63  % (2174)Termination reason: Unknown
% 0.20/0.63  % (2174)Termination phase: Finite model building preprocessing
% 0.20/0.63  
% 0.20/0.63  % (2174)Memory used [KB]: 5884
% 0.20/0.63  % (2174)Time elapsed: 0.003 s
% 0.20/0.63  % (2174)Instructions burned: 4 (million)
% 0.20/0.63  % (2174)------------------------------
% 0.20/0.63  % (2174)------------------------------
% 0.20/0.63  % (2158)Refutation not found, incomplete strategy% (2158)------------------------------
% 0.20/0.63  % (2158)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.63  % (2158)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.63  % (2158)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.63  
% 0.20/0.63  % (2158)Memory used [KB]: 6012
% 0.20/0.63  % (2158)Time elapsed: 0.159 s
% 0.20/0.63  % (2158)Instructions burned: 4 (million)
% 0.20/0.63  % (2158)------------------------------
% 0.20/0.63  % (2158)------------------------------
% 0.20/0.63  % (2176)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)
% 0.20/0.64  % (2184)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)
% 0.20/0.64  % (2157)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 0.20/0.64  % (2164)Instruction limit reached!
% 0.20/0.64  % (2164)------------------------------
% 0.20/0.64  % (2164)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.64  % (2164)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.64  % (2164)Termination reason: Unknown
% 0.20/0.64  % (2164)Termination phase: Saturation
% 0.20/0.64  
% 0.20/0.64  % (2164)Memory used [KB]: 6396
% 0.20/0.64  % (2164)Time elapsed: 0.214 s
% 0.20/0.64  % (2164)Instructions burned: 40 (million)
% 0.20/0.64  % (2164)------------------------------
% 0.20/0.64  % (2164)------------------------------
% 0.20/0.64  % (2180)Instruction limit reached!
% 0.20/0.64  % (2180)------------------------------
% 0.20/0.64  % (2180)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.64  % (2180)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.64  % (2180)Termination reason: Unknown
% 0.20/0.64  % (2180)Termination phase: Saturation
% 0.20/0.64  
% 0.20/0.64  % (2180)Memory used [KB]: 2046
% 0.20/0.64  % (2180)Time elapsed: 0.201 s
% 0.20/0.64  % (2180)Instructions burned: 45 (million)
% 0.20/0.64  % (2180)------------------------------
% 0.20/0.64  % (2180)------------------------------
% 0.20/0.65  % (2176)Instruction limit reached!
% 0.20/0.65  % (2176)------------------------------
% 0.20/0.65  % (2176)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.65  % (2176)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.65  % (2176)Termination reason: Unknown
% 0.20/0.65  % (2176)Termination phase: Saturation
% 0.20/0.65  
% 0.20/0.65  % (2176)Memory used [KB]: 6140
% 0.20/0.65  % (2176)Time elapsed: 0.228 s
% 0.20/0.65  % (2176)Instructions burned: 12 (million)
% 0.20/0.65  % (2176)------------------------------
% 0.20/0.65  % (2176)------------------------------
% 0.20/0.65  % (2165)Instruction limit reached!
% 0.20/0.65  % (2165)------------------------------
% 0.20/0.65  % (2165)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.65  % (2165)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.65  % (2165)Termination reason: Unknown
% 0.20/0.65  % (2165)Termination phase: Saturation
% 0.20/0.65  
% 0.20/0.65  % (2165)Memory used [KB]: 6780
% 0.20/0.65  % (2165)Time elapsed: 0.214 s
% 0.20/0.65  % (2165)Instructions burned: 51 (million)
% 0.20/0.65  % (2165)------------------------------
% 0.20/0.65  % (2165)------------------------------
% 0.20/0.66  % (2181)Instruction limit reached!
% 0.20/0.66  % (2181)------------------------------
% 0.20/0.66  % (2181)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.66  % (2173)Instruction limit reached!
% 0.20/0.66  % (2173)------------------------------
% 0.20/0.66  % (2173)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.66  % (2181)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.66  % (2181)Termination reason: Unknown
% 0.20/0.66  % (2181)Termination phase: Saturation
% 0.20/0.66  
% 0.20/0.66  % (2181)Memory used [KB]: 6524
% 0.20/0.66  % (2181)Time elapsed: 0.222 s
% 0.20/0.66  % (2181)Instructions burned: 51 (million)
% 0.20/0.66  % (2181)------------------------------
% 0.20/0.66  % (2181)------------------------------
% 0.20/0.66  % (2186)Instruction limit reached!
% 0.20/0.66  % (2186)------------------------------
% 0.20/0.66  % (2186)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.66  % (2186)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.66  % (2186)Termination reason: Unknown
% 0.20/0.66  % (2186)Termination phase: Saturation
% 0.20/0.66  
% 0.20/0.66  % (2186)Memory used [KB]: 6140
% 0.20/0.66  % (2186)Time elapsed: 0.231 s
% 0.20/0.66  % (2186)Instructions burned: 24 (million)
% 0.20/0.66  % (2186)------------------------------
% 0.20/0.66  % (2186)------------------------------
% 0.20/0.66  % (2173)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.66  % (2173)Termination reason: Unknown
% 0.20/0.66  % (2173)Termination phase: Saturation
% 0.20/0.66  
% 0.20/0.66  % (2173)Memory used [KB]: 6652
% 0.20/0.66  % (2173)Time elapsed: 0.205 s
% 0.20/0.66  % (2173)Instructions burned: 50 (million)
% 0.20/0.66  % (2173)------------------------------
% 0.20/0.66  % (2173)------------------------------
% 0.20/0.66  % (2168)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)
% 0.20/0.66  % (2168)Instruction limit reached!
% 0.20/0.66  % (2168)------------------------------
% 0.20/0.66  % (2168)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.66  % (2168)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.66  % (2168)Termination reason: Unknown
% 0.20/0.66  % (2168)Termination phase: Saturation
% 0.20/0.66  
% 0.20/0.66  % (2168)Memory used [KB]: 6012
% 0.20/0.66  % (2168)Time elapsed: 0.247 s
% 0.20/0.66  % (2168)Instructions burned: 7 (million)
% 0.20/0.66  % (2168)------------------------------
% 0.20/0.66  % (2168)------------------------------
% 0.20/0.67  % (2177)Instruction limit reached!
% 0.20/0.67  % (2177)------------------------------
% 0.20/0.67  % (2177)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.67  % (2177)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.67  % (2177)Termination reason: Unknown
% 0.20/0.67  % (2177)Termination phase: Saturation
% 0.20/0.67  
% 0.20/0.67  % (2177)Memory used [KB]: 6268
% 0.20/0.67  % (2177)Time elapsed: 0.235 s
% 0.20/0.67  % (2177)Instructions burned: 30 (million)
% 0.20/0.67  % (2177)------------------------------
% 0.20/0.67  % (2177)------------------------------
% 0.20/0.67  % (2166)Instruction limit reached!
% 0.20/0.67  % (2166)------------------------------
% 0.20/0.67  % (2166)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.68  % (2160)Instruction limit reached!
% 0.20/0.68  % (2160)------------------------------
% 0.20/0.68  % (2160)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.69  % (2184)Instruction limit reached!
% 0.20/0.69  % (2184)------------------------------
% 0.20/0.69  % (2184)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.69  % (2184)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.69  % (2184)Termination reason: Unknown
% 0.20/0.69  % (2184)Termination phase: Saturation
% 0.20/0.69  
% 0.20/0.69  % (2184)Memory used [KB]: 6268
% 0.20/0.69  % (2184)Time elapsed: 0.237 s
% 0.20/0.69  % (2184)Instructions burned: 26 (million)
% 0.20/0.69  % (2184)------------------------------
% 0.20/0.69  % (2184)------------------------------
% 2.65/0.69  % (2160)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.65/0.69  % (2160)Termination reason: Unknown
% 2.65/0.69  % (2160)Termination phase: Saturation
% 2.65/0.69  
% 2.65/0.69  % (2160)Memory used [KB]: 6780
% 2.65/0.69  % (2160)Time elapsed: 0.239 s
% 2.65/0.69  % (2160)Instructions burned: 52 (million)
% 2.65/0.69  % (2160)------------------------------
% 2.65/0.69  % (2160)------------------------------
% 2.65/0.69  % (2166)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.65/0.69  % (2166)Termination reason: Unknown
% 2.65/0.69  % (2166)Termination phase: Saturation
% 2.65/0.69  
% 2.65/0.69  % (2166)Memory used [KB]: 6524
% 2.65/0.69  % (2166)Time elapsed: 0.184 s
% 2.65/0.69  % (2166)Instructions burned: 33 (million)
% 2.65/0.69  % (2166)------------------------------
% 2.65/0.69  % (2166)------------------------------
% 2.65/0.70  % (2207)lrs+11_1:1_bd=off:sd=2:sos=all:sp=unary_frequency:ss=axioms:i=87:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/87Mi)
% 2.82/0.71  % (2196)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)
% 2.82/0.72  % (2207)First to succeed.
% 2.82/0.72  % (2170)Instruction limit reached!
% 2.82/0.72  % (2170)------------------------------
% 2.82/0.72  % (2170)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.82/0.72  % (2170)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.82/0.72  % (2170)Termination reason: Unknown
% 2.82/0.72  % (2170)Termination phase: Saturation
% 2.82/0.72  
% 2.82/0.72  % (2170)Memory used [KB]: 6652
% 2.82/0.72  % (2170)Time elapsed: 0.276 s
% 2.82/0.72  % (2170)Instructions burned: 52 (million)
% 2.82/0.72  % (2170)------------------------------
% 2.82/0.72  % (2170)------------------------------
% 2.82/0.72  % (2210)ott+4_1:28_av=off:sos=all:i=69:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/69Mi)
% 2.82/0.72  % (2179)Instruction limit reached!
% 2.82/0.72  % (2179)------------------------------
% 2.82/0.72  % (2179)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.82/0.72  % (2179)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.82/0.72  % (2179)Termination reason: Unknown
% 2.82/0.72  % (2179)Termination phase: Saturation
% 2.82/0.72  
% 2.82/0.72  % (2179)Memory used [KB]: 8059
% 2.82/0.72  % (2179)Time elapsed: 0.267 s
% 2.82/0.72  % (2179)Instructions burned: 82 (million)
% 2.82/0.72  % (2179)------------------------------
% 2.82/0.72  % (2179)------------------------------
% 2.82/0.72  % (2197)lrs+1011_1:1_afp=100000:afq=1.4:bd=preordered:cond=fast:fde=unused:gs=on:gsem=on:irw=on:lma=on:nm=16:sd=1:sos=all:sp=const_min:ss=axioms:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/7Mi)
% 2.82/0.72  % (2196)Refutation not found, incomplete strategy% (2196)------------------------------
% 2.82/0.72  % (2196)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.82/0.72  % (2196)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.82/0.72  % (2196)Termination reason: Refutation not found, incomplete strategy
% 2.82/0.72  
% 2.82/0.72  % (2196)Memory used [KB]: 6012
% 2.82/0.72  % (2196)Time elapsed: 0.079 s
% 2.82/0.72  % (2196)Instructions burned: 3 (million)
% 2.82/0.72  % (2196)------------------------------
% 2.82/0.72  % (2196)------------------------------
% 2.97/0.73  % (2207)Refutation found. Thanks to Tanya!
% 2.97/0.73  % SZS status Theorem for theBenchmark
% 2.97/0.73  % SZS output start Proof for theBenchmark
% See solution above
% 2.97/0.73  % (2207)------------------------------
% 2.97/0.73  % (2207)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.97/0.73  % (2207)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.97/0.73  % (2207)Termination reason: Refutation
% 2.97/0.73  
% 2.97/0.73  % (2207)Memory used [KB]: 6140
% 2.97/0.73  % (2207)Time elapsed: 0.067 s
% 2.97/0.73  % (2207)Instructions burned: 12 (million)
% 2.97/0.73  % (2207)------------------------------
% 2.97/0.73  % (2207)------------------------------
% 2.97/0.73  % (2156)Success in time 0.378 s
%------------------------------------------------------------------------------