TSTP Solution File: RNG106+1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : RNG106+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_sat --cores 0 -t %d %s

% Computer : n019.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 18:15:51 EDT 2022

% Result   : Theorem 2.87s 0.77s
% Output   : Refutation 2.87s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   17
%            Number of leaves      :   20
% Syntax   : Number of formulae    :   98 (  10 unt;   0 def)
%            Number of atoms       :  516 (  76 equ)
%            Maximal formula atoms :   17 (   5 avg)
%            Number of connectives :  650 ( 232   ~; 232   |; 151   &)
%                                         (  14 <=>;  21  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   16 (   6 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :   13 (  11 usr;   8 prp; 0-2 aty)
%            Number of functors    :   13 (  13 usr;   2 con; 0-3 aty)
%            Number of variables   :  167 ( 121   !;  46   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f2032,plain,
    $false,
    inference(avatar_sat_refutation,[],[f306,f313,f315,f357,f840,f1051,f1097,f1100,f2031]) ).

fof(f2031,plain,
    ( ~ spl25_1
    | ~ spl25_4
    | ~ spl25_11
    | ~ spl25_12
    | ~ spl25_13 ),
    inference(avatar_contradiction_clause,[],[f2030]) ).

fof(f2030,plain,
    ( $false
    | ~ spl25_1
    | ~ spl25_4
    | ~ spl25_11
    | ~ spl25_12
    | ~ spl25_13 ),
    inference(subsumption_resolution,[],[f2029,f834]) ).

fof(f834,plain,
    ( aElementOf0(sK3(sF24),sF24)
    | ~ spl25_12 ),
    inference(avatar_component_clause,[],[f833]) ).

fof(f833,plain,
    ( spl25_12
  <=> aElementOf0(sK3(sF24),sF24) ),
    introduced(avatar_definition,[new_symbols(naming,[spl25_12])]) ).

fof(f2029,plain,
    ( ~ aElementOf0(sK3(sF24),sF24)
    | ~ spl25_1
    | ~ spl25_4
    | ~ spl25_11
    | ~ spl25_13 ),
    inference(subsumption_resolution,[],[f2027,f838]) ).

fof(f838,plain,
    ( aElementOf0(sK2(sF24),sF24)
    | ~ spl25_13 ),
    inference(avatar_component_clause,[],[f837]) ).

fof(f837,plain,
    ( spl25_13
  <=> aElementOf0(sK2(sF24),sF24) ),
    introduced(avatar_definition,[new_symbols(naming,[spl25_13])]) ).

fof(f2027,plain,
    ( ~ aElementOf0(sK2(sF24),sF24)
    | ~ aElementOf0(sK3(sF24),sF24)
    | ~ spl25_1
    | ~ spl25_4
    | ~ spl25_11
    | ~ spl25_13 ),
    inference(resolution,[],[f1108,f312]) ).

fof(f312,plain,
    ( ! [X0,X1] :
        ( aElementOf0(sdtpldt0(X1,X0),sF24)
        | ~ aElementOf0(X1,sF24)
        | ~ aElementOf0(X0,sF24) )
    | ~ spl25_4 ),
    inference(avatar_component_clause,[],[f311]) ).

fof(f311,plain,
    ( spl25_4
  <=> ! [X0,X1] :
        ( ~ aElementOf0(X0,sF24)
        | ~ aElementOf0(X1,sF24)
        | aElementOf0(sdtpldt0(X1,X0),sF24) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl25_4])]) ).

fof(f1108,plain,
    ( ~ aElementOf0(sdtpldt0(sK2(sF24),sK3(sF24)),sF24)
    | ~ spl25_1
    | ~ spl25_11
    | ~ spl25_13 ),
    inference(subsumption_resolution,[],[f1107,f299]) ).

fof(f299,plain,
    ~ aIdeal0(sF24),
    inference(definition_folding,[],[f201,f290]) ).

fof(f290,plain,
    slsdtgt0(xc) = sF24,
    introduced(function_definition,[]) ).

fof(f201,plain,
    ~ aIdeal0(slsdtgt0(xc)),
    inference(cnf_transformation,[],[f132]) ).

fof(f132,plain,
    ( ! [X0,X1,X2] :
        ( ~ aElement0(X2)
        | ( aElement0(sK6(X0,X1,X2))
          & sdtasdt0(X2,X1) = sdtasdt0(xc,sdtasdt0(sK6(X0,X1,X2),X2))
          & sdtpldt0(X1,X0) = sdtasdt0(xc,sdtpldt0(sK6(X0,X1,X2),sK7(X0,X1,X2)))
          & aElement0(sK7(X0,X1,X2))
          & sdtasdt0(xc,sK7(X0,X1,X2)) = X0
          & aElementOf0(sdtasdt0(X2,X1),slsdtgt0(xc))
          & aElementOf0(sdtpldt0(X1,X0),slsdtgt0(xc))
          & sdtasdt0(xc,sK6(X0,X1,X2)) = X1 )
        | ~ aElementOf0(X1,slsdtgt0(xc))
        | ~ aElementOf0(X0,slsdtgt0(xc)) )
    & ~ aIdeal0(slsdtgt0(xc)) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK6,sK7])],[f65,f131,f130]) ).

fof(f130,plain,
    ! [X0,X1,X2] :
      ( ? [X3] :
          ( aElement0(X3)
          & ? [X4] :
              ( sdtasdt0(X2,X1) = sdtasdt0(xc,sdtasdt0(X3,X2))
              & sdtpldt0(X1,X0) = sdtasdt0(xc,sdtpldt0(X3,X4))
              & aElement0(X4)
              & sdtasdt0(xc,X4) = X0
              & aElementOf0(sdtasdt0(X2,X1),slsdtgt0(xc))
              & aElementOf0(sdtpldt0(X1,X0),slsdtgt0(xc)) )
          & sdtasdt0(xc,X3) = X1 )
     => ( aElement0(sK6(X0,X1,X2))
        & ? [X4] :
            ( sdtasdt0(X2,X1) = sdtasdt0(xc,sdtasdt0(sK6(X0,X1,X2),X2))
            & sdtpldt0(X1,X0) = sdtasdt0(xc,sdtpldt0(sK6(X0,X1,X2),X4))
            & aElement0(X4)
            & sdtasdt0(xc,X4) = X0
            & aElementOf0(sdtasdt0(X2,X1),slsdtgt0(xc))
            & aElementOf0(sdtpldt0(X1,X0),slsdtgt0(xc)) )
        & sdtasdt0(xc,sK6(X0,X1,X2)) = X1 ) ),
    introduced(choice_axiom,[]) ).

fof(f131,plain,
    ! [X0,X1,X2] :
      ( ? [X4] :
          ( sdtasdt0(X2,X1) = sdtasdt0(xc,sdtasdt0(sK6(X0,X1,X2),X2))
          & sdtpldt0(X1,X0) = sdtasdt0(xc,sdtpldt0(sK6(X0,X1,X2),X4))
          & aElement0(X4)
          & sdtasdt0(xc,X4) = X0
          & aElementOf0(sdtasdt0(X2,X1),slsdtgt0(xc))
          & aElementOf0(sdtpldt0(X1,X0),slsdtgt0(xc)) )
     => ( sdtasdt0(X2,X1) = sdtasdt0(xc,sdtasdt0(sK6(X0,X1,X2),X2))
        & sdtpldt0(X1,X0) = sdtasdt0(xc,sdtpldt0(sK6(X0,X1,X2),sK7(X0,X1,X2)))
        & aElement0(sK7(X0,X1,X2))
        & sdtasdt0(xc,sK7(X0,X1,X2)) = X0
        & aElementOf0(sdtasdt0(X2,X1),slsdtgt0(xc))
        & aElementOf0(sdtpldt0(X1,X0),slsdtgt0(xc)) ) ),
    introduced(choice_axiom,[]) ).

fof(f65,plain,
    ( ! [X0,X1,X2] :
        ( ~ aElement0(X2)
        | ? [X3] :
            ( aElement0(X3)
            & ? [X4] :
                ( sdtasdt0(X2,X1) = sdtasdt0(xc,sdtasdt0(X3,X2))
                & sdtpldt0(X1,X0) = sdtasdt0(xc,sdtpldt0(X3,X4))
                & aElement0(X4)
                & sdtasdt0(xc,X4) = X0
                & aElementOf0(sdtasdt0(X2,X1),slsdtgt0(xc))
                & aElementOf0(sdtpldt0(X1,X0),slsdtgt0(xc)) )
            & sdtasdt0(xc,X3) = X1 )
        | ~ aElementOf0(X1,slsdtgt0(xc))
        | ~ aElementOf0(X0,slsdtgt0(xc)) )
    & ~ aIdeal0(slsdtgt0(xc)) ),
    inference(flattening,[],[f64]) ).

fof(f64,plain,
    ( ~ aIdeal0(slsdtgt0(xc))
    & ! [X2,X0,X1] :
        ( ? [X3] :
            ( aElement0(X3)
            & ? [X4] :
                ( sdtasdt0(X2,X1) = sdtasdt0(xc,sdtasdt0(X3,X2))
                & sdtpldt0(X1,X0) = sdtasdt0(xc,sdtpldt0(X3,X4))
                & aElement0(X4)
                & sdtasdt0(xc,X4) = X0
                & aElementOf0(sdtasdt0(X2,X1),slsdtgt0(xc))
                & aElementOf0(sdtpldt0(X1,X0),slsdtgt0(xc)) )
            & sdtasdt0(xc,X3) = X1 )
        | ~ aElementOf0(X0,slsdtgt0(xc))
        | ~ aElementOf0(X1,slsdtgt0(xc))
        | ~ aElement0(X2) ) ),
    inference(ennf_transformation,[],[f42]) ).

fof(f42,plain,
    ~ ( ! [X2,X0,X1] :
          ( ( aElementOf0(X0,slsdtgt0(xc))
            & aElementOf0(X1,slsdtgt0(xc))
            & aElement0(X2) )
         => ? [X3] :
              ( aElement0(X3)
              & ? [X4] :
                  ( sdtasdt0(X2,X1) = sdtasdt0(xc,sdtasdt0(X3,X2))
                  & sdtpldt0(X1,X0) = sdtasdt0(xc,sdtpldt0(X3,X4))
                  & aElement0(X4)
                  & sdtasdt0(xc,X4) = X0
                  & aElementOf0(sdtasdt0(X2,X1),slsdtgt0(xc))
                  & aElementOf0(sdtpldt0(X1,X0),slsdtgt0(xc)) )
              & sdtasdt0(xc,X3) = X1 ) )
     => aIdeal0(slsdtgt0(xc)) ),
    inference(rectify,[],[f40]) ).

fof(f40,negated_conjecture,
    ~ ( ! [X1,X0,X2] :
          ( ( aElement0(X2)
            & aElementOf0(X1,slsdtgt0(xc))
            & aElementOf0(X0,slsdtgt0(xc)) )
         => ? [X3] :
              ( ? [X4] :
                  ( sdtasdt0(X2,X0) = sdtasdt0(xc,sdtasdt0(X3,X2))
                  & aElementOf0(sdtpldt0(X0,X1),slsdtgt0(xc))
                  & aElementOf0(sdtasdt0(X2,X0),slsdtgt0(xc))
                  & aElement0(X4)
                  & sdtasdt0(xc,X4) = X1
                  & sdtpldt0(X0,X1) = sdtasdt0(xc,sdtpldt0(X3,X4)) )
              & aElement0(X3)
              & sdtasdt0(xc,X3) = X0 ) )
     => aIdeal0(slsdtgt0(xc)) ),
    inference(negated_conjecture,[],[f39]) ).

fof(f39,conjecture,
    ( ! [X1,X0,X2] :
        ( ( aElement0(X2)
          & aElementOf0(X1,slsdtgt0(xc))
          & aElementOf0(X0,slsdtgt0(xc)) )
       => ? [X3] :
            ( ? [X4] :
                ( sdtasdt0(X2,X0) = sdtasdt0(xc,sdtasdt0(X3,X2))
                & aElementOf0(sdtpldt0(X0,X1),slsdtgt0(xc))
                & aElementOf0(sdtasdt0(X2,X0),slsdtgt0(xc))
                & aElement0(X4)
                & sdtasdt0(xc,X4) = X1
                & sdtpldt0(X0,X1) = sdtasdt0(xc,sdtpldt0(X3,X4)) )
            & aElement0(X3)
            & sdtasdt0(xc,X3) = X0 ) )
   => aIdeal0(slsdtgt0(xc)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).

fof(f1107,plain,
    ( ~ aElementOf0(sdtpldt0(sK2(sF24),sK3(sF24)),sF24)
    | aIdeal0(sF24)
    | ~ spl25_1
    | ~ spl25_11
    | ~ spl25_13 ),
    inference(subsumption_resolution,[],[f1106,f831]) ).

fof(f831,plain,
    ( aElement0(sK4(sF24))
    | ~ spl25_11 ),
    inference(avatar_component_clause,[],[f829]) ).

fof(f829,plain,
    ( spl25_11
  <=> aElement0(sK4(sF24)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl25_11])]) ).

fof(f1106,plain,
    ( ~ aElement0(sK4(sF24))
    | ~ aElementOf0(sdtpldt0(sK2(sF24),sK3(sF24)),sF24)
    | aIdeal0(sF24)
    | ~ spl25_1
    | ~ spl25_13 ),
    inference(subsumption_resolution,[],[f1105,f317]) ).

fof(f317,plain,
    aSet0(sF24),
    inference(subsumption_resolution,[],[f316,f277]) ).

fof(f277,plain,
    aElement0(xc),
    inference(cnf_transformation,[],[f38]) ).

fof(f38,axiom,
    aElement0(xc),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1905) ).

fof(f316,plain,
    ( aSet0(sF24)
    | ~ aElement0(xc) ),
    inference(superposition,[],[f285,f290]) ).

fof(f285,plain,
    ! [X0] :
      ( aSet0(slsdtgt0(X0))
      | ~ aElement0(X0) ),
    inference(equality_resolution,[],[f253]) ).

fof(f253,plain,
    ! [X0,X1] :
      ( aSet0(X1)
      | slsdtgt0(X0) != X1
      | ~ aElement0(X0) ),
    inference(cnf_transformation,[],[f164]) ).

fof(f164,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( ( ! [X2] :
                  ( ( aElementOf0(X2,X1)
                    | ! [X3] :
                        ( sdtasdt0(X0,X3) != X2
                        | ~ aElement0(X3) ) )
                  & ( ( sdtasdt0(X0,sK18(X0,X2)) = X2
                      & aElement0(sK18(X0,X2)) )
                    | ~ aElementOf0(X2,X1) ) )
              & aSet0(X1) )
            | slsdtgt0(X0) != X1 )
          & ( slsdtgt0(X0) = X1
            | ( ( ! [X6] :
                    ( sdtasdt0(X0,X6) != sK19(X0,X1)
                    | ~ aElement0(X6) )
                | ~ aElementOf0(sK19(X0,X1),X1) )
              & ( ( sdtasdt0(X0,sK20(X0,X1)) = sK19(X0,X1)
                  & aElement0(sK20(X0,X1)) )
                | aElementOf0(sK19(X0,X1),X1) ) )
            | ~ aSet0(X1) ) )
      | ~ aElement0(X0) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK18,sK19,sK20])],[f160,f163,f162,f161]) ).

fof(f161,plain,
    ! [X0,X2] :
      ( ? [X4] :
          ( sdtasdt0(X0,X4) = X2
          & aElement0(X4) )
     => ( sdtasdt0(X0,sK18(X0,X2)) = X2
        & aElement0(sK18(X0,X2)) ) ),
    introduced(choice_axiom,[]) ).

fof(f162,plain,
    ! [X0,X1] :
      ( ? [X5] :
          ( ( ! [X6] :
                ( sdtasdt0(X0,X6) != X5
                | ~ aElement0(X6) )
            | ~ aElementOf0(X5,X1) )
          & ( ? [X7] :
                ( sdtasdt0(X0,X7) = X5
                & aElement0(X7) )
            | aElementOf0(X5,X1) ) )
     => ( ( ! [X6] :
              ( sdtasdt0(X0,X6) != sK19(X0,X1)
              | ~ aElement0(X6) )
          | ~ aElementOf0(sK19(X0,X1),X1) )
        & ( ? [X7] :
              ( sdtasdt0(X0,X7) = sK19(X0,X1)
              & aElement0(X7) )
          | aElementOf0(sK19(X0,X1),X1) ) ) ),
    introduced(choice_axiom,[]) ).

fof(f163,plain,
    ! [X0,X1] :
      ( ? [X7] :
          ( sdtasdt0(X0,X7) = sK19(X0,X1)
          & aElement0(X7) )
     => ( sdtasdt0(X0,sK20(X0,X1)) = sK19(X0,X1)
        & aElement0(sK20(X0,X1)) ) ),
    introduced(choice_axiom,[]) ).

fof(f160,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( ( ! [X2] :
                  ( ( aElementOf0(X2,X1)
                    | ! [X3] :
                        ( sdtasdt0(X0,X3) != X2
                        | ~ aElement0(X3) ) )
                  & ( ? [X4] :
                        ( sdtasdt0(X0,X4) = X2
                        & aElement0(X4) )
                    | ~ aElementOf0(X2,X1) ) )
              & aSet0(X1) )
            | slsdtgt0(X0) != X1 )
          & ( slsdtgt0(X0) = X1
            | ? [X5] :
                ( ( ! [X6] :
                      ( sdtasdt0(X0,X6) != X5
                      | ~ aElement0(X6) )
                  | ~ aElementOf0(X5,X1) )
                & ( ? [X7] :
                      ( sdtasdt0(X0,X7) = X5
                      & aElement0(X7) )
                  | aElementOf0(X5,X1) ) )
            | ~ aSet0(X1) ) )
      | ~ aElement0(X0) ),
    inference(rectify,[],[f159]) ).

fof(f159,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( ( ! [X2] :
                  ( ( aElementOf0(X2,X1)
                    | ! [X3] :
                        ( sdtasdt0(X0,X3) != X2
                        | ~ aElement0(X3) ) )
                  & ( ? [X3] :
                        ( sdtasdt0(X0,X3) = X2
                        & aElement0(X3) )
                    | ~ aElementOf0(X2,X1) ) )
              & aSet0(X1) )
            | slsdtgt0(X0) != X1 )
          & ( slsdtgt0(X0) = X1
            | ? [X2] :
                ( ( ! [X3] :
                      ( sdtasdt0(X0,X3) != X2
                      | ~ aElement0(X3) )
                  | ~ aElementOf0(X2,X1) )
                & ( ? [X3] :
                      ( sdtasdt0(X0,X3) = X2
                      & aElement0(X3) )
                  | aElementOf0(X2,X1) ) )
            | ~ aSet0(X1) ) )
      | ~ aElement0(X0) ),
    inference(flattening,[],[f158]) ).

fof(f158,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( ( ! [X2] :
                  ( ( aElementOf0(X2,X1)
                    | ! [X3] :
                        ( sdtasdt0(X0,X3) != X2
                        | ~ aElement0(X3) ) )
                  & ( ? [X3] :
                        ( sdtasdt0(X0,X3) = X2
                        & aElement0(X3) )
                    | ~ aElementOf0(X2,X1) ) )
              & aSet0(X1) )
            | slsdtgt0(X0) != X1 )
          & ( slsdtgt0(X0) = X1
            | ? [X2] :
                ( ( ! [X3] :
                      ( sdtasdt0(X0,X3) != X2
                      | ~ aElement0(X3) )
                  | ~ aElementOf0(X2,X1) )
                & ( ? [X3] :
                      ( sdtasdt0(X0,X3) = X2
                      & aElement0(X3) )
                  | aElementOf0(X2,X1) ) )
            | ~ aSet0(X1) ) )
      | ~ aElement0(X0) ),
    inference(nnf_transformation,[],[f75]) ).

fof(f75,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( ! [X2] :
                ( aElementOf0(X2,X1)
              <=> ? [X3] :
                    ( sdtasdt0(X0,X3) = X2
                    & aElement0(X3) ) )
            & aSet0(X1) )
        <=> slsdtgt0(X0) = X1 )
      | ~ aElement0(X0) ),
    inference(ennf_transformation,[],[f37]) ).

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

fof(f1105,plain,
    ( ~ aSet0(sF24)
    | aIdeal0(sF24)
    | ~ aElementOf0(sdtpldt0(sK2(sF24),sK3(sF24)),sF24)
    | ~ aElement0(sK4(sF24))
    | ~ spl25_1
    | ~ spl25_13 ),
    inference(subsumption_resolution,[],[f1101,f838]) ).

fof(f1101,plain,
    ( ~ aElementOf0(sdtpldt0(sK2(sF24),sK3(sF24)),sF24)
    | ~ aElementOf0(sK2(sF24),sF24)
    | ~ aSet0(sF24)
    | ~ aElement0(sK4(sF24))
    | aIdeal0(sF24)
    | ~ spl25_1 ),
    inference(resolution,[],[f187,f302]) ).

fof(f302,plain,
    ( ! [X2,X1] :
        ( aElementOf0(sdtasdt0(X2,X1),sF24)
        | ~ aElement0(X2)
        | ~ aElementOf0(X1,sF24) )
    | ~ spl25_1 ),
    inference(avatar_component_clause,[],[f301]) ).

fof(f301,plain,
    ( spl25_1
  <=> ! [X2,X1] :
        ( aElementOf0(sdtasdt0(X2,X1),sF24)
        | ~ aElement0(X2)
        | ~ aElementOf0(X1,sF24) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl25_1])]) ).

fof(f187,plain,
    ! [X0] :
      ( ~ aElementOf0(sdtasdt0(sK4(X0),sK2(X0)),X0)
      | ~ aElementOf0(sdtpldt0(sK2(X0),sK3(X0)),X0)
      | aIdeal0(X0)
      | ~ aSet0(X0) ),
    inference(cnf_transformation,[],[f124]) ).

fof(f124,plain,
    ! [X0] :
      ( ( aIdeal0(X0)
        | ~ aSet0(X0)
        | ( ( ( aElementOf0(sK3(X0),X0)
              & ~ aElementOf0(sdtpldt0(sK2(X0),sK3(X0)),X0) )
            | ( ~ aElementOf0(sdtasdt0(sK4(X0),sK2(X0)),X0)
              & aElement0(sK4(X0)) ) )
          & aElementOf0(sK2(X0),X0) ) )
      & ( ( aSet0(X0)
          & ! [X4] :
              ( ( ! [X5] :
                    ( ~ aElementOf0(X5,X0)
                    | aElementOf0(sdtpldt0(X4,X5),X0) )
                & ! [X6] :
                    ( aElementOf0(sdtasdt0(X6,X4),X0)
                    | ~ aElement0(X6) ) )
              | ~ aElementOf0(X4,X0) ) )
        | ~ aIdeal0(X0) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK2,sK3,sK4])],[f120,f123,f122,f121]) ).

fof(f121,plain,
    ! [X0] :
      ( ? [X1] :
          ( ( ? [X2] :
                ( aElementOf0(X2,X0)
                & ~ aElementOf0(sdtpldt0(X1,X2),X0) )
            | ? [X3] :
                ( ~ aElementOf0(sdtasdt0(X3,X1),X0)
                & aElement0(X3) ) )
          & aElementOf0(X1,X0) )
     => ( ( ? [X2] :
              ( aElementOf0(X2,X0)
              & ~ aElementOf0(sdtpldt0(sK2(X0),X2),X0) )
          | ? [X3] :
              ( ~ aElementOf0(sdtasdt0(X3,sK2(X0)),X0)
              & aElement0(X3) ) )
        & aElementOf0(sK2(X0),X0) ) ),
    introduced(choice_axiom,[]) ).

fof(f122,plain,
    ! [X0] :
      ( ? [X2] :
          ( aElementOf0(X2,X0)
          & ~ aElementOf0(sdtpldt0(sK2(X0),X2),X0) )
     => ( aElementOf0(sK3(X0),X0)
        & ~ aElementOf0(sdtpldt0(sK2(X0),sK3(X0)),X0) ) ),
    introduced(choice_axiom,[]) ).

fof(f123,plain,
    ! [X0] :
      ( ? [X3] :
          ( ~ aElementOf0(sdtasdt0(X3,sK2(X0)),X0)
          & aElement0(X3) )
     => ( ~ aElementOf0(sdtasdt0(sK4(X0),sK2(X0)),X0)
        & aElement0(sK4(X0)) ) ),
    introduced(choice_axiom,[]) ).

fof(f120,plain,
    ! [X0] :
      ( ( aIdeal0(X0)
        | ~ aSet0(X0)
        | ? [X1] :
            ( ( ? [X2] :
                  ( aElementOf0(X2,X0)
                  & ~ aElementOf0(sdtpldt0(X1,X2),X0) )
              | ? [X3] :
                  ( ~ aElementOf0(sdtasdt0(X3,X1),X0)
                  & aElement0(X3) ) )
            & aElementOf0(X1,X0) ) )
      & ( ( aSet0(X0)
          & ! [X4] :
              ( ( ! [X5] :
                    ( ~ aElementOf0(X5,X0)
                    | aElementOf0(sdtpldt0(X4,X5),X0) )
                & ! [X6] :
                    ( aElementOf0(sdtasdt0(X6,X4),X0)
                    | ~ aElement0(X6) ) )
              | ~ aElementOf0(X4,X0) ) )
        | ~ aIdeal0(X0) ) ),
    inference(rectify,[],[f119]) ).

fof(f119,plain,
    ! [X0] :
      ( ( aIdeal0(X0)
        | ~ aSet0(X0)
        | ? [X1] :
            ( ( ? [X3] :
                  ( aElementOf0(X3,X0)
                  & ~ aElementOf0(sdtpldt0(X1,X3),X0) )
              | ? [X2] :
                  ( ~ aElementOf0(sdtasdt0(X2,X1),X0)
                  & aElement0(X2) ) )
            & aElementOf0(X1,X0) ) )
      & ( ( aSet0(X0)
          & ! [X1] :
              ( ( ! [X3] :
                    ( ~ aElementOf0(X3,X0)
                    | aElementOf0(sdtpldt0(X1,X3),X0) )
                & ! [X2] :
                    ( aElementOf0(sdtasdt0(X2,X1),X0)
                    | ~ aElement0(X2) ) )
              | ~ aElementOf0(X1,X0) ) )
        | ~ aIdeal0(X0) ) ),
    inference(flattening,[],[f118]) ).

fof(f118,plain,
    ! [X0] :
      ( ( aIdeal0(X0)
        | ~ aSet0(X0)
        | ? [X1] :
            ( ( ? [X3] :
                  ( aElementOf0(X3,X0)
                  & ~ aElementOf0(sdtpldt0(X1,X3),X0) )
              | ? [X2] :
                  ( ~ aElementOf0(sdtasdt0(X2,X1),X0)
                  & aElement0(X2) ) )
            & aElementOf0(X1,X0) ) )
      & ( ( aSet0(X0)
          & ! [X1] :
              ( ( ! [X3] :
                    ( ~ aElementOf0(X3,X0)
                    | aElementOf0(sdtpldt0(X1,X3),X0) )
                & ! [X2] :
                    ( aElementOf0(sdtasdt0(X2,X1),X0)
                    | ~ aElement0(X2) ) )
              | ~ aElementOf0(X1,X0) ) )
        | ~ aIdeal0(X0) ) ),
    inference(nnf_transformation,[],[f70]) ).

fof(f70,plain,
    ! [X0] :
      ( aIdeal0(X0)
    <=> ( aSet0(X0)
        & ! [X1] :
            ( ( ! [X3] :
                  ( ~ aElementOf0(X3,X0)
                  | aElementOf0(sdtpldt0(X1,X3),X0) )
              & ! [X2] :
                  ( aElementOf0(sdtasdt0(X2,X1),X0)
                  | ~ aElement0(X2) ) )
            | ~ aElementOf0(X1,X0) ) ) ),
    inference(ennf_transformation,[],[f56]) ).

fof(f56,plain,
    ! [X0] :
      ( aIdeal0(X0)
    <=> ( ! [X1] :
            ( aElementOf0(X1,X0)
           => ( ! [X3] :
                  ( aElementOf0(X3,X0)
                 => aElementOf0(sdtpldt0(X1,X3),X0) )
              & ! [X2] :
                  ( aElement0(X2)
                 => aElementOf0(sdtasdt0(X2,X1),X0) ) ) )
        & aSet0(X0) ) ),
    inference(rectify,[],[f24]) ).

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

fof(f1100,plain,
    ( spl25_12
    | ~ spl25_13
    | ~ spl25_1
    | ~ spl25_11 ),
    inference(avatar_split_clause,[],[f1099,f829,f301,f837,f833]) ).

fof(f1099,plain,
    ( ~ aElementOf0(sK2(sF24),sF24)
    | aElementOf0(sK3(sF24),sF24)
    | ~ spl25_1
    | ~ spl25_11 ),
    inference(subsumption_resolution,[],[f1098,f317]) ).

fof(f1098,plain,
    ( ~ aSet0(sF24)
    | ~ aElementOf0(sK2(sF24),sF24)
    | aElementOf0(sK3(sF24),sF24)
    | ~ spl25_1
    | ~ spl25_11 ),
    inference(subsumption_resolution,[],[f883,f831]) ).

fof(f883,plain,
    ( ~ aElement0(sK4(sF24))
    | aElementOf0(sK3(sF24),sF24)
    | ~ aSet0(sF24)
    | ~ aElementOf0(sK2(sF24),sF24)
    | ~ spl25_1 ),
    inference(subsumption_resolution,[],[f881,f299]) ).

fof(f881,plain,
    ( aIdeal0(sF24)
    | ~ aSet0(sF24)
    | aElementOf0(sK3(sF24),sF24)
    | ~ aElement0(sK4(sF24))
    | ~ aElementOf0(sK2(sF24),sF24)
    | ~ spl25_1 ),
    inference(resolution,[],[f189,f302]) ).

fof(f189,plain,
    ! [X0] :
      ( ~ aElementOf0(sdtasdt0(sK4(X0),sK2(X0)),X0)
      | ~ aSet0(X0)
      | aIdeal0(X0)
      | aElementOf0(sK3(X0),X0) ),
    inference(cnf_transformation,[],[f124]) ).

fof(f1097,plain,
    spl25_13,
    inference(avatar_contradiction_clause,[],[f1096]) ).

fof(f1096,plain,
    ( $false
    | spl25_13 ),
    inference(subsumption_resolution,[],[f1095,f317]) ).

fof(f1095,plain,
    ( ~ aSet0(sF24)
    | spl25_13 ),
    inference(subsumption_resolution,[],[f1094,f299]) ).

fof(f1094,plain,
    ( aIdeal0(sF24)
    | ~ aSet0(sF24)
    | spl25_13 ),
    inference(resolution,[],[f839,f185]) ).

fof(f185,plain,
    ! [X0] :
      ( aElementOf0(sK2(X0),X0)
      | ~ aSet0(X0)
      | aIdeal0(X0) ),
    inference(cnf_transformation,[],[f124]) ).

fof(f839,plain,
    ( ~ aElementOf0(sK2(sF24),sF24)
    | spl25_13 ),
    inference(avatar_component_clause,[],[f837]) ).

fof(f1051,plain,
    ( spl25_11
    | spl25_12 ),
    inference(avatar_contradiction_clause,[],[f1050]) ).

fof(f1050,plain,
    ( $false
    | spl25_11
    | spl25_12 ),
    inference(subsumption_resolution,[],[f1049,f299]) ).

fof(f1049,plain,
    ( aIdeal0(sF24)
    | spl25_11
    | spl25_12 ),
    inference(subsumption_resolution,[],[f1048,f317]) ).

fof(f1048,plain,
    ( ~ aSet0(sF24)
    | aIdeal0(sF24)
    | spl25_11
    | spl25_12 ),
    inference(subsumption_resolution,[],[f1047,f830]) ).

fof(f830,plain,
    ( ~ aElement0(sK4(sF24))
    | spl25_11 ),
    inference(avatar_component_clause,[],[f829]) ).

fof(f1047,plain,
    ( aElement0(sK4(sF24))
    | aIdeal0(sF24)
    | ~ aSet0(sF24)
    | spl25_12 ),
    inference(resolution,[],[f835,f188]) ).

fof(f188,plain,
    ! [X0] :
      ( aElementOf0(sK3(X0),X0)
      | ~ aSet0(X0)
      | aElement0(sK4(X0))
      | aIdeal0(X0) ),
    inference(cnf_transformation,[],[f124]) ).

fof(f835,plain,
    ( ~ aElementOf0(sK3(sF24),sF24)
    | spl25_12 ),
    inference(avatar_component_clause,[],[f833]) ).

fof(f840,plain,
    ( spl25_11
    | ~ spl25_12
    | ~ spl25_13
    | ~ spl25_4 ),
    inference(avatar_split_clause,[],[f827,f311,f837,f833,f829]) ).

fof(f827,plain,
    ( ~ aElementOf0(sK2(sF24),sF24)
    | ~ aElementOf0(sK3(sF24),sF24)
    | aElement0(sK4(sF24))
    | ~ spl25_4 ),
    inference(subsumption_resolution,[],[f826,f317]) ).

fof(f826,plain,
    ( ~ aElementOf0(sK2(sF24),sF24)
    | aElement0(sK4(sF24))
    | ~ aSet0(sF24)
    | ~ aElementOf0(sK3(sF24),sF24)
    | ~ spl25_4 ),
    inference(subsumption_resolution,[],[f824,f299]) ).

fof(f824,plain,
    ( aElement0(sK4(sF24))
    | ~ aElementOf0(sK2(sF24),sF24)
    | ~ aElementOf0(sK3(sF24),sF24)
    | aIdeal0(sF24)
    | ~ aSet0(sF24)
    | ~ spl25_4 ),
    inference(resolution,[],[f186,f312]) ).

fof(f186,plain,
    ! [X0] :
      ( ~ aElementOf0(sdtpldt0(sK2(X0),sK3(X0)),X0)
      | ~ aSet0(X0)
      | aElement0(sK4(X0))
      | aIdeal0(X0) ),
    inference(cnf_transformation,[],[f124]) ).

fof(f357,plain,
    ~ spl25_2,
    inference(avatar_contradiction_clause,[],[f356]) ).

fof(f356,plain,
    ( $false
    | ~ spl25_2 ),
    inference(subsumption_resolution,[],[f355,f317]) ).

fof(f355,plain,
    ( ~ aSet0(sF24)
    | ~ spl25_2 ),
    inference(subsumption_resolution,[],[f352,f299]) ).

fof(f352,plain,
    ( aIdeal0(sF24)
    | ~ aSet0(sF24)
    | ~ spl25_2 ),
    inference(resolution,[],[f185,f305]) ).

fof(f305,plain,
    ( ! [X0] : ~ aElementOf0(X0,sF24)
    | ~ spl25_2 ),
    inference(avatar_component_clause,[],[f304]) ).

fof(f304,plain,
    ( spl25_2
  <=> ! [X0] : ~ aElementOf0(X0,sF24) ),
    introduced(avatar_definition,[new_symbols(naming,[spl25_2])]) ).

fof(f315,plain,
    ~ spl25_3,
    inference(avatar_contradiction_clause,[],[f314]) ).

fof(f314,plain,
    ( $false
    | ~ spl25_3 ),
    inference(resolution,[],[f277,f309]) ).

fof(f309,plain,
    ( ! [X2] : ~ aElement0(X2)
    | ~ spl25_3 ),
    inference(avatar_component_clause,[],[f308]) ).

fof(f308,plain,
    ( spl25_3
  <=> ! [X2] : ~ aElement0(X2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl25_3])]) ).

fof(f313,plain,
    ( spl25_3
    | spl25_4 ),
    inference(avatar_split_clause,[],[f297,f311,f308]) ).

fof(f297,plain,
    ! [X2,X0,X1] :
      ( ~ aElementOf0(X0,sF24)
      | aElementOf0(sdtpldt0(X1,X0),sF24)
      | ~ aElement0(X2)
      | ~ aElementOf0(X1,sF24) ),
    inference(definition_folding,[],[f203,f290,f290,f290]) ).

fof(f203,plain,
    ! [X2,X0,X1] :
      ( ~ aElement0(X2)
      | aElementOf0(sdtpldt0(X1,X0),slsdtgt0(xc))
      | ~ aElementOf0(X1,slsdtgt0(xc))
      | ~ aElementOf0(X0,slsdtgt0(xc)) ),
    inference(cnf_transformation,[],[f132]) ).

fof(f306,plain,
    ( spl25_1
    | spl25_2 ),
    inference(avatar_split_clause,[],[f296,f304,f301]) ).

fof(f296,plain,
    ! [X2,X0,X1] :
      ( ~ aElementOf0(X0,sF24)
      | aElementOf0(sdtasdt0(X2,X1),sF24)
      | ~ aElementOf0(X1,sF24)
      | ~ aElement0(X2) ),
    inference(definition_folding,[],[f204,f290,f290,f290]) ).

fof(f204,plain,
    ! [X2,X0,X1] :
      ( ~ aElement0(X2)
      | aElementOf0(sdtasdt0(X2,X1),slsdtgt0(xc))
      | ~ aElementOf0(X1,slsdtgt0(xc))
      | ~ aElementOf0(X0,slsdtgt0(xc)) ),
    inference(cnf_transformation,[],[f132]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : RNG106+1 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.34  % Computer : n019.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
% 0.13/0.35  % CPULimit   : 300
% 0.13/0.35  % WCLimit    : 300
% 0.13/0.35  % DateTime   : Tue Aug 30 12:12:05 EDT 2022
% 0.13/0.35  % CPUTime    : 
% 0.21/0.48  % (22680)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.21/0.48  % (22672)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.21/0.48  % (22672)Instruction limit reached!
% 0.21/0.48  % (22672)------------------------------
% 0.21/0.48  % (22672)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.48  % (22672)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.48  % (22672)Termination reason: Unknown
% 0.21/0.48  % (22672)Termination phase: shuffling
% 0.21/0.48  
% 0.21/0.48  % (22672)Memory used [KB]: 895
% 0.21/0.48  % (22672)Time elapsed: 0.004 s
% 0.21/0.48  % (22672)Instructions burned: 2 (million)
% 0.21/0.48  % (22672)------------------------------
% 0.21/0.48  % (22672)------------------------------
% 1.26/0.52  % (22686)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 1.26/0.53  % (22678)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 1.26/0.53  % (22671)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 1.41/0.53  % (22671)Instruction limit reached!
% 1.41/0.53  % (22671)------------------------------
% 1.41/0.53  % (22671)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.41/0.53  % (22671)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.41/0.53  % (22671)Termination reason: Unknown
% 1.41/0.53  % (22671)Termination phase: Saturation
% 1.41/0.53  
% 1.41/0.53  % (22671)Memory used [KB]: 5628
% 1.41/0.53  % (22671)Time elapsed: 0.123 s
% 1.41/0.53  % (22671)Instructions burned: 8 (million)
% 1.41/0.53  % (22671)------------------------------
% 1.41/0.53  % (22671)------------------------------
% 1.41/0.53  % (22692)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 1.41/0.53  % (22674)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.41/0.53  % (22693)ott+10_7:2_awrs=decay:awrsf=8:bd=preordered:drc=off:fd=preordered:fde=unused:fsr=off:slsq=on:slsqc=2:slsqr=5,8:sp=const_min:spb=units:to=lpo:i=355:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/355Mi)
% 1.41/0.53  % (22691)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/177Mi)
% 1.41/0.54  % (22668)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.41/0.54  % (22669)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 1.41/0.54  % (22667)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.41/0.54  % (22687)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 1.41/0.54  % (22666)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 1.41/0.54  % (22688)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 1.41/0.54  % (22685)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 1.41/0.55  % (22676)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 1.41/0.55  % (22683)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.41/0.55  % (22664)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/191324Mi)
% 1.41/0.55  % (22673)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.41/0.55  % (22690)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 1.41/0.55  % (22684)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/176Mi)
% 1.41/0.55  % (22677)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.41/0.55  % (22675)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.41/0.55  % (22665)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.41/0.55  % (22682)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.41/0.56  % (22670)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.41/0.56  TRYING [1]
% 1.41/0.57  % (22679)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 1.41/0.57  % (22689)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 1.41/0.57  TRYING [1]
% 1.41/0.58  TRYING [2]
% 1.41/0.58  % (22665)Refutation not found, incomplete strategy% (22665)------------------------------
% 1.41/0.58  % (22665)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.41/0.58  % (22665)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.41/0.58  % (22665)Termination reason: Refutation not found, incomplete strategy
% 1.41/0.58  
% 1.41/0.58  % (22665)Memory used [KB]: 5756
% 1.41/0.58  % (22665)Time elapsed: 0.155 s
% 1.41/0.58  % (22665)Instructions burned: 9 (million)
% 1.41/0.58  % (22665)------------------------------
% 1.41/0.58  % (22665)------------------------------
% 1.41/0.58  % (22681)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 1.41/0.58  TRYING [2]
% 1.41/0.60  TRYING [1]
% 1.41/0.60  TRYING [3]
% 1.41/0.60  TRYING [3]
% 1.41/0.61  TRYING [2]
% 1.41/0.61  % (22670)Instruction limit reached!
% 1.41/0.61  % (22670)------------------------------
% 1.41/0.61  % (22670)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.41/0.61  % (22670)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.41/0.61  % (22670)Termination reason: Unknown
% 1.41/0.61  % (22670)Termination phase: Finite model building constraint generation
% 1.41/0.61  
% 1.41/0.61  % (22670)Memory used [KB]: 8187
% 1.41/0.61  % (22670)Time elapsed: 0.183 s
% 1.41/0.61  % (22670)Instructions burned: 52 (million)
% 1.41/0.61  % (22670)------------------------------
% 1.41/0.61  % (22670)------------------------------
% 1.41/0.62  TRYING [3]
% 1.41/0.62  % (22666)Instruction limit reached!
% 1.41/0.62  % (22666)------------------------------
% 1.41/0.62  % (22666)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.41/0.62  % (22666)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.41/0.62  % (22666)Termination reason: Unknown
% 1.41/0.62  % (22666)Termination phase: Saturation
% 1.41/0.62  
% 1.41/0.62  % (22666)Memory used [KB]: 1535
% 1.41/0.62  % (22666)Time elapsed: 0.199 s
% 1.41/0.62  % (22666)Instructions burned: 37 (million)
% 1.41/0.62  % (22666)------------------------------
% 1.41/0.62  % (22666)------------------------------
% 1.41/0.62  % (22668)Instruction limit reached!
% 1.41/0.62  % (22668)------------------------------
% 1.41/0.62  % (22668)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.41/0.62  % (22668)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.41/0.62  % (22668)Termination reason: Unknown
% 1.41/0.62  % (22668)Termination phase: Saturation
% 1.41/0.62  
% 1.41/0.62  % (22668)Memory used [KB]: 6524
% 1.41/0.62  % (22668)Time elapsed: 0.218 s
% 1.41/0.62  % (22668)Instructions burned: 52 (million)
% 1.41/0.62  % (22668)------------------------------
% 1.41/0.62  % (22668)------------------------------
% 1.41/0.62  % (22694)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=388:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/388Mi)
% 1.41/0.63  % (22673)Instruction limit reached!
% 1.41/0.63  % (22673)------------------------------
% 1.41/0.63  % (22673)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.41/0.63  % (22673)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.41/0.63  % (22673)Termination reason: Unknown
% 1.41/0.63  % (22673)Termination phase: Saturation
% 1.41/0.63  
% 1.41/0.63  % (22673)Memory used [KB]: 1918
% 1.41/0.63  % (22673)Time elapsed: 0.208 s
% 1.41/0.63  % (22673)Instructions burned: 52 (million)
% 1.41/0.63  % (22673)------------------------------
% 1.41/0.63  % (22673)------------------------------
% 2.11/0.63  % (22667)Instruction limit reached!
% 2.11/0.63  % (22667)------------------------------
% 2.11/0.63  % (22667)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.11/0.63  % (22667)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.11/0.63  % (22667)Termination reason: Unknown
% 2.11/0.63  % (22667)Termination phase: Saturation
% 2.11/0.63  
% 2.11/0.63  % (22667)Memory used [KB]: 6652
% 2.11/0.63  % (22667)Time elapsed: 0.227 s
% 2.11/0.63  % (22667)Instructions burned: 51 (million)
% 2.11/0.63  % (22667)------------------------------
% 2.11/0.63  % (22667)------------------------------
% 2.11/0.63  % (22669)Instruction limit reached!
% 2.11/0.63  % (22669)------------------------------
% 2.11/0.63  % (22669)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.11/0.63  % (22669)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.11/0.63  % (22669)Termination reason: Unknown
% 2.11/0.63  % (22669)Termination phase: Saturation
% 2.11/0.63  
% 2.11/0.63  % (22669)Memory used [KB]: 6268
% 2.11/0.63  % (22669)Time elapsed: 0.226 s
% 2.11/0.63  % (22669)Instructions burned: 49 (million)
% 2.11/0.63  % (22669)------------------------------
% 2.11/0.63  % (22669)------------------------------
% 2.11/0.64  % (22674)Instruction limit reached!
% 2.11/0.64  % (22674)------------------------------
% 2.11/0.64  % (22674)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.11/0.64  % (22674)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.11/0.64  % (22674)Termination reason: Unknown
% 2.11/0.64  % (22674)Termination phase: Saturation
% 2.11/0.64  
% 2.11/0.64  % (22674)Memory used [KB]: 6780
% 2.11/0.64  % (22674)Time elapsed: 0.219 s
% 2.11/0.64  % (22674)Instructions burned: 51 (million)
% 2.11/0.64  % (22674)------------------------------
% 2.11/0.64  % (22674)------------------------------
% 2.11/0.64  % (22681)Instruction limit reached!
% 2.11/0.64  % (22681)------------------------------
% 2.11/0.64  % (22681)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.11/0.64  % (22681)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.11/0.64  % (22681)Termination reason: Unknown
% 2.11/0.64  % (22681)Termination phase: Finite model building constraint generation
% 2.11/0.64  
% 2.11/0.64  % (22681)Memory used [KB]: 8187
% 2.11/0.64  % (22681)Time elapsed: 0.241 s
% 2.11/0.64  % (22681)Instructions burned: 59 (million)
% 2.11/0.64  % (22681)------------------------------
% 2.11/0.64  % (22681)------------------------------
% 2.11/0.64  % (22680)Instruction limit reached!
% 2.11/0.64  % (22680)------------------------------
% 2.11/0.64  % (22680)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.11/0.64  % (22680)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.11/0.64  % (22680)Termination reason: Unknown
% 2.11/0.65  % (22680)Termination phase: Saturation
% 2.11/0.65  
% 2.11/0.65  % (22680)Memory used [KB]: 6908
% 2.11/0.65  % (22680)Time elapsed: 0.213 s
% 2.11/0.65  % (22680)Instructions burned: 99 (million)
% 2.11/0.65  % (22680)------------------------------
% 2.11/0.65  % (22680)------------------------------
% 2.11/0.67  % (22678)Instruction limit reached!
% 2.11/0.67  % (22678)------------------------------
% 2.11/0.67  % (22678)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.11/0.67  % (22678)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.11/0.67  % (22678)Termination reason: Unknown
% 2.11/0.67  % (22678)Termination phase: Saturation
% 2.11/0.67  
% 2.11/0.67  % (22678)Memory used [KB]: 7036
% 2.11/0.67  % (22678)Time elapsed: 0.040 s
% 2.11/0.67  % (22678)Instructions burned: 70 (million)
% 2.11/0.67  % (22678)------------------------------
% 2.11/0.67  % (22678)------------------------------
% 2.11/0.67  % (22695)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=211:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/211Mi)
% 2.11/0.68  % (22690)Instruction limit reached!
% 2.11/0.68  % (22690)------------------------------
% 2.11/0.68  % (22690)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.11/0.68  % (22690)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.11/0.68  % (22690)Termination reason: Unknown
% 2.11/0.68  % (22690)Termination phase: Saturation
% 2.11/0.68  
% 2.11/0.68  % (22690)Memory used [KB]: 6908
% 2.11/0.68  % (22690)Time elapsed: 0.038 s
% 2.11/0.68  % (22690)Instructions burned: 68 (million)
% 2.11/0.68  % (22690)------------------------------
% 2.11/0.68  % (22690)------------------------------
% 2.52/0.70  % (22679)Instruction limit reached!
% 2.52/0.70  % (22679)------------------------------
% 2.52/0.70  % (22679)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.52/0.70  % (22679)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.52/0.70  % (22679)Termination reason: Unknown
% 2.52/0.70  % (22679)Termination phase: Saturation
% 2.52/0.70  
% 2.52/0.70  % (22679)Memory used [KB]: 2686
% 2.52/0.70  % (22679)Time elapsed: 0.283 s
% 2.52/0.70  % (22679)Instructions burned: 76 (million)
% 2.52/0.70  % (22679)------------------------------
% 2.52/0.70  % (22679)------------------------------
% 2.52/0.72  % (22683)Instruction limit reached!
% 2.52/0.72  % (22683)------------------------------
% 2.52/0.72  % (22683)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.52/0.72  % (22683)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.52/0.72  % (22683)Termination reason: Unknown
% 2.52/0.72  % (22683)Termination phase: Saturation
% 2.52/0.72  
% 2.52/0.72  % (22683)Memory used [KB]: 2430
% 2.52/0.72  % (22683)Time elapsed: 0.318 s
% 2.52/0.72  % (22683)Instructions burned: 101 (million)
% 2.52/0.72  % (22683)------------------------------
% 2.52/0.72  % (22683)------------------------------
% 2.52/0.73  % (22696)dis+22_1:128_bsd=on:rp=on:slsq=on:slsqc=1:slsqr=1,6:sp=frequency:spb=goal:thsq=on:thsqc=16:thsqd=1:thsql=off:i=90:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/90Mi)
% 2.52/0.73  % (22697)ott+1_1:2_i=920:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/920Mi)
% 2.52/0.73  % (22682)Instruction limit reached!
% 2.52/0.73  % (22682)------------------------------
% 2.52/0.73  % (22682)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.52/0.73  % (22675)Instruction limit reached!
% 2.52/0.73  % (22675)------------------------------
% 2.52/0.73  % (22675)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.52/0.73  % (22682)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.52/0.73  % (22675)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.52/0.73  % (22682)Termination reason: Unknown
% 2.52/0.73  % (22675)Termination reason: Unknown
% 2.52/0.73  % (22682)Termination phase: Saturation
% 2.52/0.73  % (22675)Termination phase: Saturation
% 2.52/0.73  
% 2.52/0.73  
% 2.52/0.73  % (22682)Memory used [KB]: 7036
% 2.52/0.73  % (22675)Memory used [KB]: 7547
% 2.52/0.73  % (22682)Time elapsed: 0.333 s
% 2.52/0.73  % (22675)Time elapsed: 0.319 s
% 2.52/0.73  % (22682)Instructions burned: 100 (million)
% 2.52/0.73  % (22675)Instructions burned: 101 (million)
% 2.52/0.73  % (22682)------------------------------
% 2.52/0.73  % (22682)------------------------------
% 2.52/0.73  % (22675)------------------------------
% 2.52/0.73  % (22675)------------------------------
% 2.52/0.74  % (22676)Instruction limit reached!
% 2.52/0.74  % (22676)------------------------------
% 2.52/0.74  % (22676)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.52/0.74  % (22676)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.52/0.74  % (22676)Termination reason: Unknown
% 2.52/0.74  % (22676)Termination phase: Saturation
% 2.52/0.74  
% 2.52/0.74  % (22676)Memory used [KB]: 7291
% 2.52/0.74  % (22676)Time elapsed: 0.319 s
% 2.52/0.74  % (22676)Instructions burned: 101 (million)
% 2.52/0.74  % (22676)------------------------------
% 2.52/0.74  % (22676)------------------------------
% 2.52/0.74  % (22698)ott+1_1:7_bd=off:i=934:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/934Mi)
% 2.52/0.74  % (22688)First to succeed.
% 2.52/0.76  % (22699)ott+10_1:50_bsr=unit_only:drc=off:fd=preordered:sp=frequency:i=747:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/747Mi)
% 2.52/0.76  % (22702)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=940:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/940Mi)
% 2.87/0.77  % (22677)Instruction limit reached!
% 2.87/0.77  % (22677)------------------------------
% 2.87/0.77  % (22677)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.87/0.77  % (22677)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.87/0.77  % (22677)Termination reason: Unknown
% 2.87/0.77  % (22677)Termination phase: Saturation
% 2.87/0.77  
% 2.87/0.77  % (22677)Memory used [KB]: 7164
% 2.87/0.77  % (22677)Time elapsed: 0.369 s
% 2.87/0.77  % (22677)Instructions burned: 100 (million)
% 2.87/0.77  % (22677)------------------------------
% 2.87/0.77  % (22677)------------------------------
% 2.87/0.77  % (22688)Refutation found. Thanks to Tanya!
% 2.87/0.77  % SZS status Theorem for theBenchmark
% 2.87/0.77  % SZS output start Proof for theBenchmark
% See solution above
% 2.87/0.77  % (22688)------------------------------
% 2.87/0.77  % (22688)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.87/0.77  % (22688)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.87/0.77  % (22688)Termination reason: Refutation
% 2.87/0.77  
% 2.87/0.77  % (22688)Memory used [KB]: 7036
% 2.87/0.77  % (22688)Time elapsed: 0.344 s
% 2.87/0.77  % (22688)Instructions burned: 99 (million)
% 2.87/0.77  % (22688)------------------------------
% 2.87/0.77  % (22688)------------------------------
% 2.87/0.77  % (22663)Success in time 0.402 s
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