TSTP Solution File: SEV174^5 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SEV174^5 : TPTP v8.2.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s

% Computer : n004.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 : Tue May 21 04:12:15 EDT 2024

% Result   : Theorem 0.17s 0.55s
% Output   : Refutation 0.17s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   19
%            Number of leaves      :   33
% Syntax   : Number of formulae    :  101 (   2 unt;  15 typ;   0 def)
%            Number of atoms       :  795 ( 258 equ;   0 cnn)
%            Maximal formula atoms :   17 (   9 avg)
%            Number of connectives :  771 ( 161   ~; 155   |;  97   &; 317   @)
%                                         (  13 <=>;  25  =>;   0  <=;   3 <~>)
%            Maximal formula depth :   12 (   5 avg)
%            Number of types       :    2 (   1 usr)
%            Number of type conns  :  129 ( 129   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   25 (  22 usr;  12 con; 0-2 aty)
%            Number of variables   :  167 (   0   ^ 109   !;  57   ?; 167   :)
%                                         (   1  !>;   0  ?*;   0  @-;   0  @+)

% Comments : 
%------------------------------------------------------------------------------
thf(type_def_5,type,
    a: $tType ).

thf(func_def_0,type,
    a: $tType ).

thf(func_def_1,type,
    cP: ( a > $o ) > $o ).

thf(func_def_5,type,
    sP0: a > $o ).

thf(func_def_6,type,
    sP1: ( a > $o ) > ( a > $o ) > $o ).

thf(func_def_7,type,
    sP2: ( a > $o ) > $o ).

thf(func_def_9,type,
    sK4: a > $o ).

thf(func_def_10,type,
    sK5: a > $o ).

thf(func_def_11,type,
    sK6: ( a > $o ) > a ).

thf(func_def_12,type,
    sK7: ( a > $o ) > ( a > $o ) > a ).

thf(func_def_13,type,
    sK8: a > a > $o ).

thf(func_def_14,type,
    sK9: ( a > $o ) > a ).

thf(func_def_15,type,
    sK10: a > $o ).

thf(func_def_17,type,
    ph12: 
      !>[X0: $tType] : X0 ).

thf(func_def_18,type,
    sK13: a ).

thf(f209,plain,
    $false,
    inference(avatar_sat_refutation,[],[f56,f61,f68,f73,f78,f83,f95,f101,f208]) ).

thf(f208,plain,
    ( ~ spl11_2
    | ~ spl11_3
    | spl11_6
    | ~ spl11_8 ),
    inference(avatar_contradiction_clause,[],[f207]) ).

thf(f207,plain,
    ( $false
    | ~ spl11_2
    | ~ spl11_3
    | spl11_6
    | ~ spl11_8 ),
    inference(subsumption_resolution,[],[f203,f146]) ).

thf(f146,plain,
    ( ( ( sK4 @ ( sK7 @ sK5 @ sK4 ) )
      = $true )
    | ~ spl11_3 ),
    inference(trivial_inequality_removal,[],[f145]) ).

thf(f145,plain,
    ( ( $true != $true )
    | ( ( sK4 @ ( sK7 @ sK5 @ sK4 ) )
      = $true )
    | ~ spl11_3 ),
    inference(superposition,[],[f40,f60]) ).

thf(f60,plain,
    ( ( ( sP1 @ sK5 @ sK4 )
      = $true )
    | ~ spl11_3 ),
    inference(avatar_component_clause,[],[f58]) ).

thf(f58,plain,
    ( spl11_3
  <=> ( ( sP1 @ sK5 @ sK4 )
      = $true ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl11_3])]) ).

thf(f40,plain,
    ! [X0: a > $o,X1: a > $o] :
      ( ( ( sP1 @ X1 @ X0 )
       != $true )
      | ( ( X0 @ ( sK7 @ X1 @ X0 ) )
        = $true ) ),
    inference(cnf_transformation,[],[f24]) ).

thf(f24,plain,
    ! [X0: a > $o,X1: a > $o] :
      ( ( ( ( X0 @ ( sK7 @ X1 @ X0 ) )
          = $true )
        & ( ( X1 @ ( sK7 @ X1 @ X0 ) )
          = $true ) )
      | ( ( sP1 @ X1 @ X0 )
       != $true ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK7])],[f22,f23]) ).

thf(f23,plain,
    ! [X0: a > $o,X1: a > $o] :
      ( ? [X2: a] :
          ( ( ( X0 @ X2 )
            = $true )
          & ( ( X1 @ X2 )
            = $true ) )
     => ( ( ( X0 @ ( sK7 @ X1 @ X0 ) )
          = $true )
        & ( ( X1 @ ( sK7 @ X1 @ X0 ) )
          = $true ) ) ),
    introduced(choice_axiom,[]) ).

thf(f22,plain,
    ! [X0: a > $o,X1: a > $o] :
      ( ? [X2: a] :
          ( ( ( X0 @ X2 )
            = $true )
          & ( ( X1 @ X2 )
            = $true ) )
      | ( ( sP1 @ X1 @ X0 )
       != $true ) ),
    inference(rectify,[],[f21]) ).

thf(f21,plain,
    ! [X7: a > $o,X6: a > $o] :
      ( ? [X8: a] :
          ( ( ( X7 @ X8 )
            = $true )
          & ( ( X6 @ X8 )
            = $true ) )
      | ( ( sP1 @ X6 @ X7 )
       != $true ) ),
    inference(nnf_transformation,[],[f9]) ).

thf(f9,plain,
    ! [X7: a > $o,X6: a > $o] :
      ( ? [X8: a] :
          ( ( ( X7 @ X8 )
            = $true )
          & ( ( X6 @ X8 )
            = $true ) )
      | ( ( sP1 @ X6 @ X7 )
       != $true ) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[=])]) ).

thf(f203,plain,
    ( ( ( sK4 @ ( sK7 @ sK5 @ sK4 ) )
     != $true )
    | ~ spl11_2
    | ~ spl11_3
    | spl11_6
    | ~ spl11_8 ),
    inference(trivial_inequality_removal,[],[f202]) ).

thf(f202,plain,
    ( ( $true != $true )
    | ( ( sK4 @ ( sK7 @ sK5 @ sK4 ) )
     != $true )
    | ~ spl11_2
    | ~ spl11_3
    | spl11_6
    | ~ spl11_8 ),
    inference(superposition,[],[f183,f140]) ).

thf(f140,plain,
    ( ( ( sK5 @ ( sK7 @ sK5 @ sK4 ) )
      = $true )
    | ~ spl11_3 ),
    inference(trivial_inequality_removal,[],[f139]) ).

thf(f139,plain,
    ( ( $true != $true )
    | ( ( sK5 @ ( sK7 @ sK5 @ sK4 ) )
      = $true )
    | ~ spl11_3 ),
    inference(superposition,[],[f39,f60]) ).

thf(f39,plain,
    ! [X0: a > $o,X1: a > $o] :
      ( ( ( sP1 @ X1 @ X0 )
       != $true )
      | ( ( X1 @ ( sK7 @ X1 @ X0 ) )
        = $true ) ),
    inference(cnf_transformation,[],[f24]) ).

thf(f183,plain,
    ( ! [X0: a] :
        ( ( ( sK5 @ X0 )
         != $true )
        | ( ( sK4 @ X0 )
         != $true ) )
    | ~ spl11_2
    | spl11_6
    | ~ spl11_8 ),
    inference(subsumption_resolution,[],[f173,f72]) ).

thf(f72,plain,
    ( ( sK5 != sK4 )
    | spl11_6 ),
    inference(avatar_component_clause,[],[f70]) ).

thf(f70,plain,
    ( spl11_6
  <=> ( sK5 = sK4 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl11_6])]) ).

thf(f173,plain,
    ( ! [X0: a] :
        ( ( ( sK5 @ X0 )
         != $true )
        | ( sK5 = sK4 )
        | ( ( sK4 @ X0 )
         != $true ) )
    | ~ spl11_2
    | ~ spl11_8 ),
    inference(trivial_inequality_removal,[],[f171]) ).

thf(f171,plain,
    ( ! [X0: a] :
        ( ( sK5 = sK4 )
        | ( ( sK5 @ X0 )
         != $true )
        | ( ( sK4 @ X0 )
         != $true )
        | ( $true != $true ) )
    | ~ spl11_2
    | ~ spl11_8 ),
    inference(superposition,[],[f134,f55]) ).

thf(f55,plain,
    ( ( ( cP @ sK4 )
      = $true )
    | ~ spl11_2 ),
    inference(avatar_component_clause,[],[f53]) ).

thf(f53,plain,
    ( spl11_2
  <=> ( ( cP @ sK4 )
      = $true ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl11_2])]) ).

thf(f134,plain,
    ( ! [X0: a,X1: a > $o] :
        ( ( ( cP @ X1 )
         != $true )
        | ( ( X1 @ X0 )
         != $true )
        | ( ( sK5 @ X0 )
         != $true )
        | ( sK5 = X1 ) )
    | ~ spl11_8 ),
    inference(trivial_inequality_removal,[],[f131]) ).

thf(f131,plain,
    ( ! [X0: a,X1: a > $o] :
        ( ( sK5 = X1 )
        | ( $true != $true )
        | ( ( cP @ X1 )
         != $true )
        | ( ( X1 @ X0 )
         != $true )
        | ( ( sK5 @ X0 )
         != $true ) )
    | ~ spl11_8 ),
    inference(superposition,[],[f44,f82]) ).

thf(f82,plain,
    ( ( ( cP @ sK5 )
      = $true )
    | ~ spl11_8 ),
    inference(avatar_component_clause,[],[f80]) ).

thf(f80,plain,
    ( spl11_8
  <=> ( ( cP @ sK5 )
      = $true ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl11_8])]) ).

thf(f44,plain,
    ! [X6: a,X7: a > $o,X5: a > $o] :
      ( ( ( cP @ X7 )
       != $true )
      | ( ( X7 @ X6 )
       != $true )
      | ( ( cP @ X5 )
       != $true )
      | ( ( X5 @ X6 )
       != $true )
      | ( X5 = X7 ) ),
    inference(cnf_transformation,[],[f32]) ).

thf(f32,plain,
    ( ! [X0: a > $o] :
        ( ( ( X0 @ ( sK9 @ X0 ) )
          = $true )
        | ( ( cP @ X0 )
         != $true ) )
    & ! [X2: a > $o] :
        ( ( ( ( cP @ sK10 )
            = $true )
          & ! [X4: a] :
              ( ( sK10 @ X4 )
             != $true ) )
        | ( sP3 = $true )
        | ( ( sP2 @ X2 )
          = $true ) )
    & ! [X5: a > $o,X6: a,X7: a > $o] :
        ( ( ( cP @ X7 )
         != $true )
        | ( X5 = X7 )
        | ( ( cP @ X5 )
         != $true )
        | ( ( X5 @ X6 )
         != $true )
        | ( ( X7 @ X6 )
         != $true ) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK9,sK10])],[f29,f31,f30]) ).

thf(f30,plain,
    ! [X0: a > $o] :
      ( ? [X1: a] :
          ( ( X0 @ X1 )
          = $true )
     => ( ( X0 @ ( sK9 @ X0 ) )
        = $true ) ),
    introduced(choice_axiom,[]) ).

thf(f31,plain,
    ( ? [X3: a > $o] :
        ( ( ( cP @ X3 )
          = $true )
        & ! [X4: a] :
            ( ( X3 @ X4 )
           != $true ) )
   => ( ( ( cP @ sK10 )
        = $true )
      & ! [X4: a] :
          ( ( sK10 @ X4 )
         != $true ) ) ),
    introduced(choice_axiom,[]) ).

thf(f29,plain,
    ( ! [X0: a > $o] :
        ( ? [X1: a] :
            ( ( X0 @ X1 )
            = $true )
        | ( ( cP @ X0 )
         != $true ) )
    & ! [X2: a > $o] :
        ( ? [X3: a > $o] :
            ( ( ( cP @ X3 )
              = $true )
            & ! [X4: a] :
                ( ( X3 @ X4 )
               != $true ) )
        | ( sP3 = $true )
        | ( ( sP2 @ X2 )
          = $true ) )
    & ! [X5: a > $o,X6: a,X7: a > $o] :
        ( ( ( cP @ X7 )
         != $true )
        | ( X5 = X7 )
        | ( ( cP @ X5 )
         != $true )
        | ( ( X5 @ X6 )
         != $true )
        | ( ( X7 @ X6 )
         != $true ) ) ),
    inference(rectify,[],[f12]) ).

thf(f12,plain,
    ( ! [X0: a > $o] :
        ( ? [X1: a] :
            ( ( X0 @ X1 )
            = $true )
        | ( ( cP @ X0 )
         != $true ) )
    & ! [X5: a > $o] :
        ( ? [X11: a > $o] :
            ( ( ( cP @ X11 )
              = $true )
            & ! [X12: a] :
                ( ( X11 @ X12 )
               != $true ) )
        | ( sP3 = $true )
        | ( ( sP2 @ X5 )
          = $true ) )
    & ! [X3: a > $o,X2: a,X4: a > $o] :
        ( ( ( cP @ X4 )
         != $true )
        | ( X3 = X4 )
        | ( ( cP @ X3 )
         != $true )
        | ( ( X3 @ X2 )
         != $true )
        | ( ( X4 @ X2 )
         != $true ) ) ),
    inference(definition_folding,[],[f7,f11,f10,f9,f8]) ).

thf(f8,plain,
    ! [X9: a] :
      ( ( ( sP0 @ X9 )
        = $true )
    <=> ? [X10: a > $o] :
          ( ( ( X10 @ X9 )
            = $true )
          & ( ( cP @ X10 )
            = $true ) ) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[=])]) ).

thf(f10,plain,
    ! [X5: a > $o] :
      ( ? [X9: a] :
          ( ( ( X5 @ X9 )
            = $true )
        <~> ( ( sP0 @ X9 )
            = $true ) )
      | ( ( sP2 @ X5 )
       != $true ) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[=])]) ).

thf(f11,plain,
    ( ? [X7: a > $o,X6: a > $o] :
        ( ( ( sP1 @ X6 @ X7 )
          = $true )
        & ( X6 != X7 )
        & ( ( cP @ X6 )
          = $true )
        & ( ( cP @ X7 )
          = $true ) )
    | ( sP3 != $true ) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[=])]) ).

thf(f7,plain,
    ( ! [X0: a > $o] :
        ( ? [X1: a] :
            ( ( X0 @ X1 )
            = $true )
        | ( ( cP @ X0 )
         != $true ) )
    & ! [X5: a > $o] :
        ( ? [X11: a > $o] :
            ( ( ( cP @ X11 )
              = $true )
            & ! [X12: a] :
                ( ( X11 @ X12 )
               != $true ) )
        | ? [X7: a > $o,X6: a > $o] :
            ( ? [X8: a] :
                ( ( ( X7 @ X8 )
                  = $true )
                & ( ( X6 @ X8 )
                  = $true ) )
            & ( X6 != X7 )
            & ( ( cP @ X6 )
              = $true )
            & ( ( cP @ X7 )
              = $true ) )
        | ? [X9: a] :
            ( ( ( X5 @ X9 )
              = $true )
          <~> ? [X10: a > $o] :
                ( ( ( X10 @ X9 )
                  = $true )
                & ( ( cP @ X10 )
                  = $true ) ) ) )
    & ! [X3: a > $o,X2: a,X4: a > $o] :
        ( ( ( cP @ X4 )
         != $true )
        | ( X3 = X4 )
        | ( ( cP @ X3 )
         != $true )
        | ( ( X3 @ X2 )
         != $true )
        | ( ( X4 @ X2 )
         != $true ) ) ),
    inference(flattening,[],[f6]) ).

thf(f6,plain,
    ( ! [X5: a > $o] :
        ( ? [X9: a] :
            ( ( ( X5 @ X9 )
              = $true )
          <~> ? [X10: a > $o] :
                ( ( ( X10 @ X9 )
                  = $true )
                & ( ( cP @ X10 )
                  = $true ) ) )
        | ? [X11: a > $o] :
            ( ( ( cP @ X11 )
              = $true )
            & ! [X12: a] :
                ( ( X11 @ X12 )
               != $true ) )
        | ? [X7: a > $o,X6: a > $o] :
            ( ( X6 != X7 )
            & ? [X8: a] :
                ( ( ( X7 @ X8 )
                  = $true )
                & ( ( X6 @ X8 )
                  = $true ) )
            & ( ( cP @ X6 )
              = $true )
            & ( ( cP @ X7 )
              = $true ) ) )
    & ! [X0: a > $o] :
        ( ? [X1: a] :
            ( ( X0 @ X1 )
            = $true )
        | ( ( cP @ X0 )
         != $true ) )
    & ! [X3: a > $o,X2: a,X4: a > $o] :
        ( ( X3 = X4 )
        | ( ( cP @ X3 )
         != $true )
        | ( ( X3 @ X2 )
         != $true )
        | ( ( cP @ X4 )
         != $true )
        | ( ( X4 @ X2 )
         != $true ) ) ),
    inference(ennf_transformation,[],[f5]) ).

thf(f5,plain,
    ~ ( ( ! [X0: a > $o] :
            ( ( ( cP @ X0 )
              = $true )
           => ? [X1: a] :
                ( ( X0 @ X1 )
                = $true ) )
        & ! [X3: a > $o,X2: a,X4: a > $o] :
            ( ( ( ( cP @ X3 )
                = $true )
              & ( ( X3 @ X2 )
                = $true )
              & ( ( cP @ X4 )
                = $true )
              & ( ( X4 @ X2 )
                = $true ) )
           => ( X3 = X4 ) ) )
     => ? [X5: a > $o] :
          ( ! [X9: a] :
              ( ( ( X5 @ X9 )
                = $true )
            <=> ? [X10: a > $o] :
                  ( ( ( X10 @ X9 )
                    = $true )
                  & ( ( cP @ X10 )
                    = $true ) ) )
          & ! [X11: a > $o] :
              ( ( ( cP @ X11 )
                = $true )
             => ? [X12: a] :
                  ( ( X11 @ X12 )
                  = $true ) )
          & ! [X7: a > $o,X6: a > $o] :
              ( ( ? [X8: a] :
                    ( ( ( X7 @ X8 )
                      = $true )
                    & ( ( X6 @ X8 )
                      = $true ) )
                & ( ( cP @ X6 )
                  = $true )
                & ( ( cP @ X7 )
                  = $true ) )
             => ( X6 = X7 ) ) ) ),
    inference(fool_elimination,[],[f4]) ).

thf(f4,plain,
    ~ ( ( ! [X0: a > $o] :
            ( ( cP @ X0 )
           => ? [X1: a] : ( X0 @ X1 ) )
        & ! [X2: a,X3: a > $o,X4: a > $o] :
            ( ( ( cP @ X3 )
              & ( X4 @ X2 )
              & ( cP @ X4 )
              & ( X3 @ X2 ) )
           => ( X3 = X4 ) ) )
     => ? [X5: a > $o] :
          ( ! [X6: a > $o,X7: a > $o] :
              ( ( ? [X8: a] :
                    ( ( X6 @ X8 )
                    & ( X7 @ X8 ) )
                & ( cP @ X7 )
                & ( cP @ X6 ) )
             => ( X6 = X7 ) )
          & ! [X9: a] :
              ( ( X5 @ X9 )
            <=> ? [X10: a > $o] :
                  ( ( cP @ X10 )
                  & ( X10 @ X9 ) ) )
          & ! [X11: a > $o] :
              ( ( cP @ X11 )
             => ? [X12: a] : ( X11 @ X12 ) ) ) ),
    inference(rectify,[],[f2]) ).

thf(f2,negated_conjecture,
    ~ ( ( ! [X0: a > $o] :
            ( ( cP @ X0 )
           => ? [X1: a] : ( X0 @ X1 ) )
        & ! [X2: a,X3: a > $o,X0: a > $o] :
            ( ( ( cP @ X3 )
              & ( X0 @ X2 )
              & ( cP @ X0 )
              & ( X3 @ X2 ) )
           => ( X0 = X3 ) ) )
     => ? [X4: a > $o] :
          ( ! [X8: a > $o,X7: a > $o] :
              ( ( ? [X2: a] :
                    ( ( X8 @ X2 )
                    & ( X7 @ X2 ) )
                & ( cP @ X7 )
                & ( cP @ X8 ) )
             => ( X7 = X8 ) )
          & ! [X2: a] :
              ( ( X4 @ X2 )
            <=> ? [X6: a > $o] :
                  ( ( cP @ X6 )
                  & ( X6 @ X2 ) ) )
          & ! [X5: a > $o] :
              ( ( cP @ X5 )
             => ? [X2: a] : ( X5 @ X2 ) ) ) ),
    inference(negated_conjecture,[],[f1]) ).

thf(f1,conjecture,
    ( ( ! [X0: a > $o] :
          ( ( cP @ X0 )
         => ? [X1: a] : ( X0 @ X1 ) )
      & ! [X2: a,X3: a > $o,X0: a > $o] :
          ( ( ( cP @ X3 )
            & ( X0 @ X2 )
            & ( cP @ X0 )
            & ( X3 @ X2 ) )
         => ( X0 = X3 ) ) )
   => ? [X4: a > $o] :
        ( ! [X8: a > $o,X7: a > $o] :
            ( ( ? [X2: a] :
                  ( ( X8 @ X2 )
                  & ( X7 @ X2 ) )
              & ( cP @ X7 )
              & ( cP @ X8 ) )
           => ( X7 = X8 ) )
        & ! [X2: a] :
            ( ( X4 @ X2 )
          <=> ? [X6: a > $o] :
                ( ( cP @ X6 )
                & ( X6 @ X2 ) ) )
        & ! [X5: a > $o] :
            ( ( cP @ X5 )
           => ? [X2: a] : ( X5 @ X2 ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cTHM555_pme) ).

thf(f101,plain,
    ( ~ spl11_5
    | ~ spl11_7 ),
    inference(avatar_contradiction_clause,[],[f100]) ).

thf(f100,plain,
    ( $false
    | ~ spl11_5
    | ~ spl11_7 ),
    inference(subsumption_resolution,[],[f98,f67]) ).

thf(f67,plain,
    ( ! [X4: a] :
        ( ( sK10 @ X4 )
       != $true )
    | ~ spl11_5 ),
    inference(avatar_component_clause,[],[f66]) ).

thf(f66,plain,
    ( spl11_5
  <=> ! [X4: a] :
        ( ( sK10 @ X4 )
       != $true ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl11_5])]) ).

thf(f98,plain,
    ( ( ( sK10 @ ( sK9 @ sK10 ) )
      = $true )
    | ~ spl11_7 ),
    inference(trivial_inequality_removal,[],[f97]) ).

thf(f97,plain,
    ( ( ( sK10 @ ( sK9 @ sK10 ) )
      = $true )
    | ( $true != $true )
    | ~ spl11_7 ),
    inference(superposition,[],[f47,f77]) ).

thf(f77,plain,
    ( ( ( cP @ sK10 )
      = $true )
    | ~ spl11_7 ),
    inference(avatar_component_clause,[],[f75]) ).

thf(f75,plain,
    ( spl11_7
  <=> ( ( cP @ sK10 )
      = $true ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl11_7])]) ).

thf(f47,plain,
    ! [X0: a > $o] :
      ( ( ( cP @ X0 )
       != $true )
      | ( ( X0 @ ( sK9 @ X0 ) )
        = $true ) ),
    inference(cnf_transformation,[],[f32]) ).

thf(f95,plain,
    ~ spl11_4,
    inference(avatar_contradiction_clause,[],[f94]) ).

thf(f94,plain,
    ( $false
    | ~ spl11_4 ),
    inference(subsumption_resolution,[],[f91,f87]) ).

thf(f87,plain,
    ( ! [X0: a > $o] :
        ( ( ( X0 @ ( sK6 @ X0 ) )
         != $true )
        | ( ( sP0 @ ( sK6 @ X0 ) )
         != $true ) )
    | ~ spl11_4 ),
    inference(trivial_inequality_removal,[],[f85]) ).

thf(f85,plain,
    ( ! [X0: a > $o] :
        ( ( $true != $true )
        | ( ( sP0 @ ( sK6 @ X0 ) )
         != $true )
        | ( ( X0 @ ( sK6 @ X0 ) )
         != $true ) )
    | ~ spl11_4 ),
    inference(backward_demodulation,[],[f38,f64]) ).

thf(f64,plain,
    ( ! [X2: a > $o] :
        ( ( sP2 @ X2 )
        = $true )
    | ~ spl11_4 ),
    inference(avatar_component_clause,[],[f63]) ).

thf(f63,plain,
    ( spl11_4
  <=> ! [X2: a > $o] :
        ( ( sP2 @ X2 )
        = $true ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl11_4])]) ).

thf(f38,plain,
    ! [X0: a > $o] :
      ( ( ( sP0 @ ( sK6 @ X0 ) )
       != $true )
      | ( ( X0 @ ( sK6 @ X0 ) )
       != $true )
      | ( ( sP2 @ X0 )
       != $true ) ),
    inference(cnf_transformation,[],[f20]) ).

thf(f20,plain,
    ! [X0: a > $o] :
      ( ( ( ( ( sP0 @ ( sK6 @ X0 ) )
           != $true )
          | ( ( X0 @ ( sK6 @ X0 ) )
           != $true ) )
        & ( ( ( sP0 @ ( sK6 @ X0 ) )
            = $true )
          | ( ( X0 @ ( sK6 @ X0 ) )
            = $true ) ) )
      | ( ( sP2 @ X0 )
       != $true ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK6])],[f18,f19]) ).

thf(f19,plain,
    ! [X0: a > $o] :
      ( ? [X1: a] :
          ( ( ( ( sP0 @ X1 )
             != $true )
            | ( ( X0 @ X1 )
             != $true ) )
          & ( ( ( sP0 @ X1 )
              = $true )
            | ( ( X0 @ X1 )
              = $true ) ) )
     => ( ( ( ( sP0 @ ( sK6 @ X0 ) )
           != $true )
          | ( ( X0 @ ( sK6 @ X0 ) )
           != $true ) )
        & ( ( ( sP0 @ ( sK6 @ X0 ) )
            = $true )
          | ( ( X0 @ ( sK6 @ X0 ) )
            = $true ) ) ) ),
    introduced(choice_axiom,[]) ).

thf(f18,plain,
    ! [X0: a > $o] :
      ( ? [X1: a] :
          ( ( ( ( sP0 @ X1 )
             != $true )
            | ( ( X0 @ X1 )
             != $true ) )
          & ( ( ( sP0 @ X1 )
              = $true )
            | ( ( X0 @ X1 )
              = $true ) ) )
      | ( ( sP2 @ X0 )
       != $true ) ),
    inference(rectify,[],[f17]) ).

thf(f17,plain,
    ! [X5: a > $o] :
      ( ? [X9: a] :
          ( ( ( ( sP0 @ X9 )
             != $true )
            | ( ( X5 @ X9 )
             != $true ) )
          & ( ( ( sP0 @ X9 )
              = $true )
            | ( ( X5 @ X9 )
              = $true ) ) )
      | ( ( sP2 @ X5 )
       != $true ) ),
    inference(nnf_transformation,[],[f10]) ).

thf(f91,plain,
    ( ( ( sP0 @ ( sK6 @ sP0 ) )
      = $true )
    | ~ spl11_4 ),
    inference(trivial_inequality_removal,[],[f90]) ).

thf(f90,plain,
    ( ( $true != $true )
    | ( ( sP0 @ ( sK6 @ sP0 ) )
      = $true )
    | ~ spl11_4 ),
    inference(equality_factoring,[],[f86]) ).

thf(f86,plain,
    ( ! [X0: a > $o] :
        ( ( ( sP0 @ ( sK6 @ X0 ) )
          = $true )
        | ( ( X0 @ ( sK6 @ X0 ) )
          = $true ) )
    | ~ spl11_4 ),
    inference(trivial_inequality_removal,[],[f84]) ).

thf(f84,plain,
    ( ! [X0: a > $o] :
        ( ( ( sP0 @ ( sK6 @ X0 ) )
          = $true )
        | ( $true != $true )
        | ( ( X0 @ ( sK6 @ X0 ) )
          = $true ) )
    | ~ spl11_4 ),
    inference(backward_demodulation,[],[f37,f64]) ).

thf(f37,plain,
    ! [X0: a > $o] :
      ( ( ( sP2 @ X0 )
       != $true )
      | ( ( sP0 @ ( sK6 @ X0 ) )
        = $true )
      | ( ( X0 @ ( sK6 @ X0 ) )
        = $true ) ),
    inference(cnf_transformation,[],[f20]) ).

thf(f83,plain,
    ( ~ spl11_1
    | spl11_8 ),
    inference(avatar_split_clause,[],[f34,f80,f49]) ).

thf(f49,plain,
    ( spl11_1
  <=> ( sP3 = $true ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl11_1])]) ).

thf(f34,plain,
    ( ( sP3 != $true )
    | ( ( cP @ sK5 )
      = $true ) ),
    inference(cnf_transformation,[],[f16]) ).

thf(f16,plain,
    ( ( ( ( sP1 @ sK5 @ sK4 )
        = $true )
      & ( sK5 != sK4 )
      & ( ( cP @ sK5 )
        = $true )
      & ( ( cP @ sK4 )
        = $true ) )
    | ( sP3 != $true ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK4,sK5])],[f14,f15]) ).

thf(f15,plain,
    ( ? [X0: a > $o,X1: a > $o] :
        ( ( ( sP1 @ X1 @ X0 )
          = $true )
        & ( X0 != X1 )
        & ( ( cP @ X1 )
          = $true )
        & ( ( cP @ X0 )
          = $true ) )
   => ( ( ( sP1 @ sK5 @ sK4 )
        = $true )
      & ( sK5 != sK4 )
      & ( ( cP @ sK5 )
        = $true )
      & ( ( cP @ sK4 )
        = $true ) ) ),
    introduced(choice_axiom,[]) ).

thf(f14,plain,
    ( ? [X0: a > $o,X1: a > $o] :
        ( ( ( sP1 @ X1 @ X0 )
          = $true )
        & ( X0 != X1 )
        & ( ( cP @ X1 )
          = $true )
        & ( ( cP @ X0 )
          = $true ) )
    | ( sP3 != $true ) ),
    inference(rectify,[],[f13]) ).

thf(f13,plain,
    ( ? [X7: a > $o,X6: a > $o] :
        ( ( ( sP1 @ X6 @ X7 )
          = $true )
        & ( X6 != X7 )
        & ( ( cP @ X6 )
          = $true )
        & ( ( cP @ X7 )
          = $true ) )
    | ( sP3 != $true ) ),
    inference(nnf_transformation,[],[f11]) ).

thf(f78,plain,
    ( spl11_4
    | spl11_7
    | spl11_1 ),
    inference(avatar_split_clause,[],[f46,f49,f75,f63]) ).

thf(f46,plain,
    ! [X2: a > $o] :
      ( ( ( sP2 @ X2 )
        = $true )
      | ( sP3 = $true )
      | ( ( cP @ sK10 )
        = $true ) ),
    inference(cnf_transformation,[],[f32]) ).

thf(f73,plain,
    ( ~ spl11_6
    | ~ spl11_1 ),
    inference(avatar_split_clause,[],[f35,f49,f70]) ).

thf(f35,plain,
    ( ( sK5 != sK4 )
    | ( sP3 != $true ) ),
    inference(cnf_transformation,[],[f16]) ).

thf(f68,plain,
    ( spl11_1
    | spl11_4
    | spl11_5 ),
    inference(avatar_split_clause,[],[f45,f66,f63,f49]) ).

thf(f45,plain,
    ! [X2: a > $o,X4: a] :
      ( ( ( sK10 @ X4 )
       != $true )
      | ( sP3 = $true )
      | ( ( sP2 @ X2 )
        = $true ) ),
    inference(cnf_transformation,[],[f32]) ).

thf(f61,plain,
    ( spl11_3
    | ~ spl11_1 ),
    inference(avatar_split_clause,[],[f36,f49,f58]) ).

thf(f36,plain,
    ( ( ( sP1 @ sK5 @ sK4 )
      = $true )
    | ( sP3 != $true ) ),
    inference(cnf_transformation,[],[f16]) ).

thf(f56,plain,
    ( ~ spl11_1
    | spl11_2 ),
    inference(avatar_split_clause,[],[f33,f53,f49]) ).

thf(f33,plain,
    ( ( ( cP @ sK4 )
      = $true )
    | ( sP3 != $true ) ),
    inference(cnf_transformation,[],[f16]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10  % Problem    : SEV174^5 : TPTP v8.2.0. Released v4.0.0.
% 0.10/0.12  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.11/0.32  % Computer : n004.cluster.edu
% 0.11/0.32  % Model    : x86_64 x86_64
% 0.11/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32  % Memory   : 8042.1875MB
% 0.11/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32  % CPULimit   : 300
% 0.11/0.32  % WCLimit    : 300
% 0.11/0.32  % DateTime   : Sun May 19 18:47:53 EDT 2024
% 0.11/0.33  % CPUTime    : 
% 0.11/0.33  This is a TH0_THM_EQU_NAR problem
% 0.11/0.33  Running vampire_ho --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_hol --cores 8 -m 12000 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/0.35  % (29872)lrs+10_1:1_bet=on:cnfonf=off:fd=off:hud=5:inj=on:i=3:si=on:rtra=on_0 on theBenchmark for (3000ds/3Mi)
% 0.11/0.35  % (29872)Instruction limit reached!
% 0.11/0.35  % (29872)------------------------------
% 0.11/0.35  % (29872)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.11/0.35  % (29872)Termination reason: Unknown
% 0.11/0.35  % (29872)Termination phase: Saturation
% 0.11/0.35  
% 0.11/0.35  % (29872)Memory used [KB]: 5500
% 0.11/0.35  % (29872)Time elapsed: 0.004 s
% 0.11/0.35  % (29872)Instructions burned: 3 (million)
% 0.11/0.35  % (29872)------------------------------
% 0.11/0.35  % (29872)------------------------------
% 0.11/0.36  % (29867)dis+1010_1:1_au=on:cbe=off:chr=on:fsr=off:hfsq=on:nm=64:sos=theory:sp=weighted_frequency:i=27:si=on:rtra=on_0 on theBenchmark for (3000ds/27Mi)
% 0.11/0.36  % (29870)lrs+1002_1:1_au=on:bd=off:e2e=on:sd=2:sos=on:ss=axioms:i=275:si=on:rtra=on_0 on theBenchmark for (3000ds/275Mi)
% 0.11/0.36  % (29868)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on theBenchmark for (3000ds/2Mi)
% 0.11/0.36  % (29866)lrs+10_1:1_c=on:cnfonf=conj_eager:fd=off:fe=off:kws=frequency:spb=intro:i=4:si=on:rtra=on_0 on theBenchmark for (3000ds/4Mi)
% 0.11/0.36  % (29868)Instruction limit reached!
% 0.11/0.36  % (29868)------------------------------
% 0.11/0.36  % (29868)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.11/0.36  % (29868)Termination reason: Unknown
% 0.11/0.36  % (29868)Termination phase: Preprocessing 3
% 0.11/0.36  
% 0.11/0.36  % (29868)Memory used [KB]: 895
% 0.11/0.36  % (29868)Time elapsed: 0.003 s
% 0.11/0.36  % (29868)Instructions burned: 2 (million)
% 0.11/0.36  % (29868)------------------------------
% 0.11/0.36  % (29868)------------------------------
% 0.11/0.36  % (29866)Instruction limit reached!
% 0.11/0.36  % (29866)------------------------------
% 0.11/0.36  % (29866)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.11/0.36  % (29866)Termination reason: Unknown
% 0.11/0.36  % (29866)Termination phase: Saturation
% 0.11/0.36  
% 0.11/0.36  % (29866)Memory used [KB]: 5500
% 0.11/0.36  % (29866)Time elapsed: 0.006 s
% 0.11/0.36  % (29866)Instructions burned: 4 (million)
% 0.11/0.36  % (29866)------------------------------
% 0.11/0.36  % (29866)------------------------------
% 0.11/0.36  % (29873)lrs+1002_1:1_cnfonf=lazy_not_be_gen:hud=14:prag=on:sp=weighted_frequency:tnu=1:i=37:si=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.11/0.36  % (29871)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on theBenchmark for (3000ds/18Mi)
% 0.11/0.36  % (29869)lrs+1002_1:128_aac=none:au=on:cnfonf=lazy_not_gen_be_off:sos=all:i=2:si=on:rtra=on_0 on theBenchmark for (3000ds/2Mi)
% 0.11/0.36  % (29869)Instruction limit reached!
% 0.11/0.36  % (29869)------------------------------
% 0.11/0.36  % (29869)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.11/0.36  % (29869)Termination reason: Unknown
% 0.11/0.36  % (29869)Termination phase: Saturation
% 0.11/0.36  
% 0.11/0.36  % (29869)Memory used [KB]: 895
% 0.11/0.36  % (29869)Time elapsed: 0.004 s
% 0.11/0.36  % (29869)Instructions burned: 3 (million)
% 0.11/0.36  % (29869)------------------------------
% 0.11/0.36  % (29869)------------------------------
% 0.11/0.36  % (29867)Refutation not found, incomplete strategy
% 0.11/0.36  % (29867)------------------------------
% 0.11/0.36  % (29867)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.11/0.37  % (29867)Termination reason: Refutation not found, incomplete strategy
% 0.11/0.37  
% 0.11/0.37  
% 0.11/0.37  % (29867)Memory used [KB]: 5628
% 0.11/0.37  % (29867)Time elapsed: 0.009 s
% 0.11/0.37  % (29867)Instructions burned: 13 (million)
% 0.11/0.37  % (29867)------------------------------
% 0.11/0.37  % (29867)------------------------------
% 0.11/0.37  % (29865)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on theBenchmark for (3000ds/183Mi)
% 0.11/0.37  % (29874)lrs+2_16:1_acc=model:au=on:bd=off:c=on:e2e=on:nm=2:sos=all:i=15:si=on:rtra=on_0 on theBenchmark for (2999ds/15Mi)
% 0.11/0.38  % (29871)Instruction limit reached!
% 0.11/0.38  % (29871)------------------------------
% 0.11/0.38  % (29871)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.11/0.38  % (29871)Termination reason: Unknown
% 0.11/0.38  % (29871)Termination phase: Saturation
% 0.11/0.38  
% 0.11/0.38  % (29871)Memory used [KB]: 5628
% 0.11/0.38  % (29871)Time elapsed: 0.036 s
% 0.11/0.38  % (29871)Instructions burned: 18 (million)
% 0.11/0.38  % (29871)------------------------------
% 0.11/0.38  % (29871)------------------------------
% 0.11/0.38  % (29876)lrs+1002_1:1_aac=none:au=on:cnfonf=lazy_gen:plsq=on:plsqc=1:plsqr=4203469,65536:i=1041:si=on:rtra=on_0 on theBenchmark for (2999ds/1041Mi)
% 0.11/0.38  % (29877)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.11/0.38  % (29875)dis+21_1:1_cbe=off:cnfonf=off:fs=off:fsr=off:hud=1:inj=on:i=3:si=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.11/0.38  % (29873)Instruction limit reached!
% 0.11/0.38  % (29873)------------------------------
% 0.11/0.38  % (29873)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.11/0.38  % (29873)Termination reason: Unknown
% 0.11/0.38  % (29873)Termination phase: Saturation
% 0.11/0.38  
% 0.11/0.38  % (29873)Memory used [KB]: 5884
% 0.11/0.38  % (29873)Time elapsed: 0.019 s
% 0.11/0.38  % (29873)Instructions burned: 37 (million)
% 0.11/0.38  % (29873)------------------------------
% 0.11/0.38  % (29873)------------------------------
% 0.11/0.38  % (29875)Instruction limit reached!
% 0.11/0.38  % (29875)------------------------------
% 0.11/0.38  % (29875)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.11/0.38  % (29875)Termination reason: Unknown
% 0.11/0.38  % (29875)Termination phase: Saturation
% 0.11/0.38  
% 0.11/0.38  % (29875)Memory used [KB]: 5500
% 0.11/0.38  % (29875)Time elapsed: 0.004 s
% 0.11/0.38  % (29875)Instructions burned: 4 (million)
% 0.11/0.38  % (29875)------------------------------
% 0.11/0.38  % (29875)------------------------------
% 0.11/0.38  % (29877)Instruction limit reached!
% 0.11/0.38  % (29877)------------------------------
% 0.11/0.38  % (29877)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.11/0.38  % (29877)Termination reason: Unknown
% 0.11/0.38  % (29877)Termination phase: Saturation
% 0.11/0.38  
% 0.11/0.38  % (29877)Memory used [KB]: 1023
% 0.11/0.38  % (29877)Time elapsed: 0.006 s
% 0.11/0.38  % (29877)Instructions burned: 8 (million)
% 0.11/0.38  % (29877)------------------------------
% 0.11/0.38  % (29877)------------------------------
% 0.11/0.39  % (29874)Instruction limit reached!
% 0.11/0.39  % (29874)------------------------------
% 0.11/0.39  % (29874)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.11/0.39  % (29874)Termination reason: Unknown
% 0.11/0.39  % (29874)Termination phase: Saturation
% 0.11/0.39  
% 0.11/0.39  % (29874)Memory used [KB]: 5628
% 0.11/0.39  % (29874)Time elapsed: 0.013 s
% 0.11/0.39  % (29874)Instructions burned: 15 (million)
% 0.11/0.39  % (29874)------------------------------
% 0.11/0.39  % (29874)------------------------------
% 0.11/0.39  % (29878)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 0.11/0.40  % (29879)lrs+21_1:1_au=on:cnfonf=off:fd=preordered:fe=off:fsr=off:hud=11:inj=on:kws=precedence:s2pl=no:sp=weighted_frequency:tgt=full:i=3:si=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.11/0.40  % (29881)lrs+10_1:1_cnfonf=off:cs=on:hud=3:prag=on:sup=off:i=7:si=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.11/0.40  % (29880)lrs+2_1:1_apa=on:au=on:bd=preordered:cnfonf=off:cs=on:ixr=off:sos=on:i=3:si=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.11/0.40  % (29879)Instruction limit reached!
% 0.11/0.40  % (29879)------------------------------
% 0.11/0.40  % (29879)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.11/0.40  % (29879)Termination reason: Unknown
% 0.11/0.40  % (29879)Termination phase: Twee Goal Transformation
% 0.11/0.40  
% 0.11/0.40  % (29879)Memory used [KB]: 1023
% 0.11/0.40  % (29879)Time elapsed: 0.003 s
% 0.11/0.40  % (29879)Instructions burned: 3 (million)
% 0.11/0.40  % (29879)------------------------------
% 0.11/0.40  % (29879)------------------------------
% 0.11/0.40  % (29880)Instruction limit reached!
% 0.11/0.40  % (29880)------------------------------
% 0.11/0.40  % (29880)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.11/0.40  % (29880)Termination reason: Unknown
% 0.11/0.40  % (29880)Termination phase: Property scanning
% 0.11/0.40  
% 0.11/0.40  % (29880)Memory used [KB]: 1023
% 0.11/0.40  % (29880)Time elapsed: 0.003 s
% 0.11/0.40  % (29880)Instructions burned: 3 (million)
% 0.11/0.40  % (29880)------------------------------
% 0.11/0.40  % (29880)------------------------------
% 0.11/0.40  % (29882)dis+1002_1:1_add=large:cnfonf=lazy_pi_sigma_gen:fe=off:prag=on:i=3:si=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.11/0.40  % (29881)Instruction limit reached!
% 0.11/0.40  % (29881)------------------------------
% 0.11/0.40  % (29881)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.11/0.40  % (29881)Termination reason: Unknown
% 0.11/0.40  % (29881)Termination phase: Saturation
% 0.11/0.40  
% 0.11/0.40  % (29881)Memory used [KB]: 5628
% 0.11/0.40  % (29881)Time elapsed: 0.006 s
% 0.11/0.40  % (29881)Instructions burned: 8 (million)
% 0.11/0.40  % (29881)------------------------------
% 0.11/0.40  % (29881)------------------------------
% 0.11/0.40  % (29878)Instruction limit reached!
% 0.11/0.40  % (29878)------------------------------
% 0.11/0.40  % (29878)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.11/0.40  % (29878)Termination reason: Unknown
% 0.11/0.40  % (29882)Instruction limit reached!
% 0.11/0.40  % (29882)------------------------------
% 0.11/0.40  % (29882)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.11/0.40  % (29878)Termination phase: Saturation
% 0.11/0.40  
% 0.11/0.40  % (29878)Memory used [KB]: 5628
% 0.11/0.40  % (29878)Time elapsed: 0.013 s
% 0.11/0.40  % (29878)Instructions burned: 17 (million)
% 0.11/0.40  % (29878)------------------------------
% 0.11/0.40  % (29878)------------------------------
% 0.11/0.40  % (29882)Termination reason: Unknown
% 0.11/0.40  % (29882)Termination phase: Saturation
% 0.11/0.40  
% 0.11/0.40  % (29882)Memory used [KB]: 5500
% 0.11/0.40  % (29882)Time elapsed: 0.004 s
% 0.11/0.40  % (29882)Instructions burned: 4 (million)
% 0.11/0.40  % (29882)------------------------------
% 0.11/0.40  % (29882)------------------------------
% 0.17/0.41  % (29883)dis+1004_1:1_cha=on:cs=on:fe=off:hud=1:i=4:si=on:rtra=on_0 on theBenchmark for (2999ds/4Mi)
% 0.17/0.41  % (29884)lrs+1002_1:1_anc=all_dependent:au=on:cbe=off:fde=unused:ntd=on:i=18:si=on:rtra=on_0 on theBenchmark for (2999ds/18Mi)
% 0.17/0.41  % (29883)Instruction limit reached!
% 0.17/0.41  % (29883)------------------------------
% 0.17/0.41  % (29883)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.17/0.41  % (29883)Termination reason: Unknown
% 0.17/0.41  % (29883)Termination phase: Saturation
% 0.17/0.41  
% 0.17/0.41  % (29883)Memory used [KB]: 5500
% 0.17/0.41  % (29883)Time elapsed: 0.004 s
% 0.17/0.41  % (29883)Instructions burned: 4 (million)
% 0.17/0.41  % (29883)------------------------------
% 0.17/0.41  % (29883)------------------------------
% 0.17/0.42  % (29886)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.17/0.42  % (29887)dis+1002_5:1_au=on:bd=off:e2e=on:fde=none:fs=off:fsr=off:sos=on:i=902:si=on:rtra=on_0 on theBenchmark for (2999ds/902Mi)
% 0.17/0.42  % (29886)Instruction limit reached!
% 0.17/0.42  % (29886)------------------------------
% 0.17/0.42  % (29886)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.17/0.42  % (29886)Termination reason: Unknown
% 0.17/0.42  % (29886)Termination phase: Saturation
% 0.17/0.42  
% 0.17/0.42  % (29886)Memory used [KB]: 5500
% 0.17/0.42  % (29886)Time elapsed: 0.006 s
% 0.17/0.42  % (29886)Instructions burned: 6 (million)
% 0.17/0.42  % (29886)------------------------------
% 0.17/0.42  % (29886)------------------------------
% 0.17/0.42  % (29884)Instruction limit reached!
% 0.17/0.42  % (29884)------------------------------
% 0.17/0.42  % (29884)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.17/0.42  % (29884)Termination reason: Unknown
% 0.17/0.42  % (29884)Termination phase: Saturation
% 0.17/0.42  
% 0.17/0.42  % (29884)Memory used [KB]: 5628
% 0.17/0.42  % (29884)Time elapsed: 0.012 s
% 0.17/0.42  % (29884)Instructions burned: 19 (million)
% 0.17/0.42  % (29884)------------------------------
% 0.17/0.42  % (29884)------------------------------
% 0.17/0.43  % (29885)lrs+10_1:1_e2e=on:sd=1:sgt=8:ss=axioms:i=710:si=on:rtra=on_0 on theBenchmark for (2999ds/710Mi)
% 0.17/0.43  % (29889)dis+10_1:1_cnfonf=lazy_gen:fe=off:i=5:si=on:rtra=on_0 on theBenchmark for (2999ds/5Mi)
% 0.17/0.43  % (29888)dis+21_1:8_apa=on:cnfonf=off:fd=off:fsr=off:hud=0:ins=1:kws=inv_frequency:nwc=10.0:ss=axioms:st=5.0:i=21:si=on:rtra=on_0 on theBenchmark for (2999ds/21Mi)
% 0.17/0.43  % (29889)Instruction limit reached!
% 0.17/0.43  % (29889)------------------------------
% 0.17/0.43  % (29889)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.17/0.43  % (29889)Termination reason: Unknown
% 0.17/0.43  % (29889)Termination phase: Saturation
% 0.17/0.43  
% 0.17/0.43  % (29889)Memory used [KB]: 5500
% 0.17/0.43  % (29889)Time elapsed: 0.003 s
% 0.17/0.43  % (29889)Instructions burned: 5 (million)
% 0.17/0.43  % (29889)------------------------------
% 0.17/0.43  % (29889)------------------------------
% 0.17/0.44  % (29890)lrs+2_1:1_cnfonf=lazy_not_gen_be_off:cs=on:fe=off:hud=10:inj=on:ins=3:plsq=on:plsqc=1:sd=10:ss=axioms:tnu=1:i=6:si=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.17/0.44  % (29891)lrs+1002_1:128_au=on:c=on:fsr=off:piset=equals:i=377:si=on:rtra=on_0 on theBenchmark for (2999ds/377Mi)
% 0.17/0.44  % (29888)Instruction limit reached!
% 0.17/0.44  % (29888)------------------------------
% 0.17/0.44  % (29888)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.17/0.44  % (29888)Termination reason: Unknown
% 0.17/0.44  % (29888)Termination phase: Saturation
% 0.17/0.44  
% 0.17/0.44  % (29888)Memory used [KB]: 5756
% 0.17/0.44  % (29888)Time elapsed: 0.013 s
% 0.17/0.44  % (29888)Instructions burned: 21 (million)
% 0.17/0.44  % (29888)------------------------------
% 0.17/0.44  % (29888)------------------------------
% 0.17/0.44  % (29890)Instruction limit reached!
% 0.17/0.44  % (29890)------------------------------
% 0.17/0.44  % (29890)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.17/0.44  % (29890)Termination reason: Unknown
% 0.17/0.44  % (29890)Termination phase: Saturation
% 0.17/0.44  
% 0.17/0.44  % (29890)Memory used [KB]: 5500
% 0.17/0.44  % (29890)Time elapsed: 0.005 s
% 0.17/0.44  % (29890)Instructions burned: 8 (million)
% 0.17/0.44  % (29890)------------------------------
% 0.17/0.44  % (29890)------------------------------
% 0.17/0.45  % (29892)dis+1010_1:4_atotf=0.2:c=on:cbe=off:cnfonf=lazy_simp:fe=off:ins=2:ntd=on:s2a=on:s2at=5.0:sgt=5:ss=axioms:st=1.5:i=779:si=on:rtra=on_0 on theBenchmark for (2999ds/779Mi)
% 0.17/0.47  % (29865)Instruction limit reached!
% 0.17/0.47  % (29865)------------------------------
% 0.17/0.47  % (29865)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.17/0.47  % (29865)Termination reason: Unknown
% 0.17/0.47  % (29865)Termination phase: Saturation
% 0.17/0.47  
% 0.17/0.47  % (29865)Memory used [KB]: 7036
% 0.17/0.47  % (29865)Time elapsed: 0.123 s
% 0.17/0.47  % (29865)Instructions burned: 185 (million)
% 0.17/0.47  % (29865)------------------------------
% 0.17/0.47  % (29865)------------------------------
% 0.17/0.47  % (29893)lrs+10_1:1_cnfonf=lazy_not_be_gen:ntd=on:sp=const_min:ss=axioms:sup=off:i=19:si=on:rtra=on_0 on theBenchmark for (2999ds/19Mi)
% 0.17/0.47  % (29893)Instruction limit reached!
% 0.17/0.47  % (29893)------------------------------
% 0.17/0.47  % (29893)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.17/0.47  % (29893)Termination reason: Unknown
% 0.17/0.47  % (29893)Termination phase: Saturation
% 0.17/0.47  
% 0.17/0.47  % (29893)Memory used [KB]: 5628
% 0.17/0.47  % (29893)Time elapsed: 0.035 s
% 0.17/0.47  % (29893)Instructions burned: 21 (million)
% 0.17/0.47  % (29893)------------------------------
% 0.17/0.47  % (29893)------------------------------
% 0.17/0.48  % (29894)lrs+1010_1:1_au=on:s2a=on:sd=1:sgt=50:ss=axioms:i=879:si=on:rtra=on_0 on theBenchmark for (2998ds/879Mi)
% 0.17/0.48  % (29894)Refutation not found, incomplete strategy
% 0.17/0.48  % (29894)------------------------------
% 0.17/0.48  % (29894)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.17/0.48  % (29894)Termination reason: Refutation not found, incomplete strategy
% 0.17/0.48  
% 0.17/0.48  
% 0.17/0.48  % (29894)Memory used [KB]: 5628
% 0.17/0.48  % (29894)Time elapsed: 0.004 s
% 0.17/0.48  % (29894)Instructions burned: 7 (million)
% 0.17/0.48  % (29894)------------------------------
% 0.17/0.48  % (29894)------------------------------
% 0.17/0.48  % (29895)dis+1002_1:128_acc=on:er=filter:i=17:si=on:rtra=on_0 on theBenchmark for (2998ds/17Mi)
% 0.17/0.49  % (29870)Instruction limit reached!
% 0.17/0.49  % (29870)------------------------------
% 0.17/0.49  % (29870)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.17/0.49  % (29870)Termination reason: Unknown
% 0.17/0.49  % (29870)Termination phase: Saturation
% 0.17/0.49  
% 0.17/0.49  % (29870)Memory used [KB]: 6140
% 0.17/0.49  % (29870)Time elapsed: 0.131 s
% 0.17/0.49  % (29870)Instructions burned: 277 (million)
% 0.17/0.49  % (29870)------------------------------
% 0.17/0.49  % (29870)------------------------------
% 0.17/0.49  % (29896)ott+21_1:1_apa=on:au=on:cnfonf=off:sos=on:i=3:si=on:rtra=on_0 on theBenchmark for (2998ds/3Mi)
% 0.17/0.49  % (29896)Instruction limit reached!
% 0.17/0.49  % (29896)------------------------------
% 0.17/0.49  % (29896)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.17/0.49  % (29896)Termination reason: Unknown
% 0.17/0.49  % (29896)Termination phase: Property scanning
% 0.17/0.49  
% 0.17/0.49  % (29896)Memory used [KB]: 1023
% 0.17/0.49  % (29896)Time elapsed: 0.002 s
% 0.17/0.49  % (29896)Instructions burned: 3 (million)
% 0.17/0.49  % (29896)------------------------------
% 0.17/0.49  % (29896)------------------------------
% 0.17/0.49  % (29895)Instruction limit reached!
% 0.17/0.49  % (29895)------------------------------
% 0.17/0.49  % (29895)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.17/0.49  % (29895)Termination reason: Unknown
% 0.17/0.49  % (29895)Termination phase: Saturation
% 0.17/0.49  
% 0.17/0.49  % (29895)Memory used [KB]: 5756
% 0.17/0.49  % (29895)Time elapsed: 0.008 s
% 0.17/0.49  % (29895)Instructions burned: 19 (million)
% 0.17/0.49  % (29895)------------------------------
% 0.17/0.49  % (29895)------------------------------
% 0.17/0.50  % (29897)lrs+1010_1:8_cnfonf=off:hud=1:inj=on:tnu=5:i=30:si=on:rtra=on_0 on theBenchmark for (2998ds/30Mi)
% 0.17/0.50  % (29899)lrs+1002_1:1_au=on:cbe=off:cnfonf=conj_eager:cond=on:hi=on:i=100:si=on:rtra=on_0 on theBenchmark for (2998ds/100Mi)
% 0.17/0.50  % (29898)dis+10_1:1_ixr=off:plsq=on:plsqc=1:plsqr=32,1:s2a=on:i=127:si=on:rtra=on_0 on theBenchmark for (2998ds/127Mi)
% 0.17/0.51  % (29897)Instruction limit reached!
% 0.17/0.51  % (29897)------------------------------
% 0.17/0.51  % (29897)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.17/0.51  % (29897)Termination reason: Unknown
% 0.17/0.51  % (29897)Termination phase: Saturation
% 0.17/0.51  
% 0.17/0.51  % (29897)Memory used [KB]: 5756
% 0.17/0.51  % (29897)Time elapsed: 0.012 s
% 0.17/0.51  % (29897)Instructions burned: 30 (million)
% 0.17/0.51  % (29897)------------------------------
% 0.17/0.51  % (29897)------------------------------
% 0.17/0.52  % (29900)dis+10_1:1_anc=none:cnfonf=lazy_gen:fd=preordered:fe=off:hud=10:ins=3:ixr=off:nwc=5.0:plsq=on:plsqc=1:plsqr=32,1:sp=const_frequency:uhcvi=on:i=3:si=on:rtra=on_0 on theBenchmark for (2998ds/3Mi)
% 0.17/0.52  % (29900)Instruction limit reached!
% 0.17/0.52  % (29900)------------------------------
% 0.17/0.52  % (29900)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.17/0.52  % (29900)Termination reason: Unknown
% 0.17/0.52  % (29900)Termination phase: Saturation
% 0.17/0.52  
% 0.17/0.52  % (29900)Memory used [KB]: 895
% 0.17/0.52  % (29900)Time elapsed: 0.002 s
% 0.17/0.52  % (29900)Instructions burned: 3 (million)
% 0.17/0.52  % (29900)------------------------------
% 0.17/0.52  % (29900)------------------------------
% 0.17/0.52  % (29901)lrs+10_8:1_au=on:avsq=on:e2e=on:ins=3:s2a=on:s2at=3.0:ss=axioms:i=20:si=on:rtra=on_0 on theBenchmark for (2998ds/20Mi)
% 0.17/0.53  % (29899)Instruction limit reached!
% 0.17/0.53  % (29899)------------------------------
% 0.17/0.53  % (29899)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.17/0.53  % (29899)Termination reason: Unknown
% 0.17/0.53  % (29899)Termination phase: Saturation
% 0.17/0.53  
% 0.17/0.53  % (29899)Memory used [KB]: 5756
% 0.17/0.53  % (29899)Time elapsed: 0.035 s
% 0.17/0.53  % (29899)Instructions burned: 101 (million)
% 0.17/0.53  % (29899)------------------------------
% 0.17/0.53  % (29899)------------------------------
% 0.17/0.53  % (29901)Instruction limit reached!
% 0.17/0.53  % (29901)------------------------------
% 0.17/0.53  % (29901)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.17/0.53  % (29901)Termination reason: Unknown
% 0.17/0.53  % (29901)Termination phase: Saturation
% 0.17/0.53  
% 0.17/0.53  % (29901)Memory used [KB]: 5628
% 0.17/0.53  % (29901)Time elapsed: 0.031 s
% 0.17/0.53  % (29901)Instructions burned: 22 (million)
% 0.17/0.53  % (29901)------------------------------
% 0.17/0.53  % (29901)------------------------------
% 0.17/0.54  % (29902)dis+1002_1:1_cbe=off:hud=5:nm=4:plsq=on:plsqr=7,1:prag=on:sp=const_max:tnu=1:i=86:si=on:rtra=on_0 on theBenchmark for (2998ds/86Mi)
% 0.17/0.54  % (29903)lrs+1010_1:1_au=on:cbe=off:nm=2:ntd=on:sd=2:ss=axioms:st=5.0:i=107:si=on:rtra=on_0 on theBenchmark for (2998ds/107Mi)
% 0.17/0.55  % (29898)Instruction limit reached!
% 0.17/0.55  % (29898)------------------------------
% 0.17/0.55  % (29898)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.17/0.55  % (29898)Termination reason: Unknown
% 0.17/0.55  % (29898)Termination phase: Saturation
% 0.17/0.55  
% 0.17/0.55  % (29898)Memory used [KB]: 6140
% 0.17/0.55  % (29898)Time elapsed: 0.051 s
% 0.17/0.55  % (29898)Instructions burned: 128 (million)
% 0.17/0.55  % (29898)------------------------------
% 0.17/0.55  % (29898)------------------------------
% 0.17/0.55  % (29903)First to succeed.
% 0.17/0.55  % (29903)Refutation found. Thanks to Tanya!
% 0.17/0.55  % SZS status Theorem for theBenchmark
% 0.17/0.55  % SZS output start Proof for theBenchmark
% See solution above
% 0.17/0.55  % (29903)------------------------------
% 0.17/0.55  % (29903)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.17/0.55  % (29903)Termination reason: Refutation
% 0.17/0.55  
% 0.17/0.55  % (29903)Memory used [KB]: 5628
% 0.17/0.55  % (29903)Time elapsed: 0.031 s
% 0.17/0.55  % (29903)Instructions burned: 17 (million)
% 0.17/0.55  % (29903)------------------------------
% 0.17/0.55  % (29903)------------------------------
% 0.17/0.55  % (29864)Success in time 0.2 s
% 0.17/0.55  % Vampire---4.8 exiting
%------------------------------------------------------------------------------