TSTP Solution File: ITP021+5 by Vampire---4.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.9
% Problem  : ITP021+5 : TPTP v8.2.0. Bugfixed v7.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire %s %d THM

% Computer : n018.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 : Mon Jun 24 09:34:42 EDT 2024

% Result   : Theorem 23.69s 5.13s
% Output   : Refutation 23.69s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   12
%            Number of leaves      :   16
% Syntax   : Number of formulae    :   87 (  10 unt;   0 def)
%            Number of atoms       :  360 (   8 equ)
%            Maximal formula atoms :   18 (   4 avg)
%            Number of connectives :  430 ( 157   ~; 159   |;  59   &)
%                                         (  14 <=>;  40  =>;   0  <=;   1 <~>)
%            Maximal formula depth :   11 (   5 avg)
%            Maximal term depth    :    5 (   2 avg)
%            Number of predicates  :    9 (   7 usr;   6 prp; 0-2 aty)
%            Number of functors    :    8 (   8 usr;   6 con; 0-2 aty)
%            Number of variables   :  106 (  88   !;  18   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f37572,plain,
    $false,
    inference(avatar_sat_refutation,[],[f27397,f27402,f27412,f33155,f33235,f33439,f37519,f37571]) ).

fof(f37571,plain,
    ( ~ spl539_1
    | spl539_3
    | ~ spl539_36 ),
    inference(avatar_contradiction_clause,[],[f37570]) ).

fof(f37570,plain,
    ( $false
    | ~ spl539_1
    | spl539_3
    | ~ spl539_36 ),
    inference(subsumption_resolution,[],[f37532,f27400]) ).

fof(f27400,plain,
    ( ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK46),sK44))
    | spl539_3 ),
    inference(avatar_component_clause,[],[f27399]) ).

fof(f27399,plain,
    ( spl539_3
  <=> p(ap(ap(c_2Eextreal_2Eextreal__le,sK46),sK44)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl539_3])]) ).

fof(f37532,plain,
    ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK46),sK44))
    | ~ spl539_1
    | ~ spl539_36 ),
    inference(unit_resulting_resolution,[],[f22908,f22906,f33150,f27420,f27392,f24389]) ).

fof(f24389,plain,
    ! [X2,X0,X1] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,X0),X2))
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,X1),X2))
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,X0),X1))
      | ~ mem(X2,ty_2Eextreal_2Eextreal)
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(cnf_transformation,[],[f20398]) ).

fof(f20398,plain,
    ! [X0] :
      ( ! [X1] :
          ( ! [X2] :
              ( p(ap(ap(c_2Eextreal_2Eextreal__le,X0),X2))
              | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,X1),X2))
              | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,X0),X1))
              | ~ mem(X2,ty_2Eextreal_2Eextreal) )
          | ~ mem(X1,ty_2Eextreal_2Eextreal) )
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(flattening,[],[f20397]) ).

fof(f20397,plain,
    ! [X0] :
      ( ! [X1] :
          ( ! [X2] :
              ( p(ap(ap(c_2Eextreal_2Eextreal__le,X0),X2))
              | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,X1),X2))
              | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,X0),X1))
              | ~ mem(X2,ty_2Eextreal_2Eextreal) )
          | ~ mem(X1,ty_2Eextreal_2Eextreal) )
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(ennf_transformation,[],[f19365]) ).

fof(f19365,plain,
    ! [X0] :
      ( mem(X0,ty_2Eextreal_2Eextreal)
     => ! [X1] :
          ( mem(X1,ty_2Eextreal_2Eextreal)
         => ! [X2] :
              ( mem(X2,ty_2Eextreal_2Eextreal)
             => ( ( p(ap(ap(c_2Eextreal_2Eextreal__le,X1),X2))
                  & p(ap(ap(c_2Eextreal_2Eextreal__le,X0),X1)) )
               => p(ap(ap(c_2Eextreal_2Eextreal__le,X0),X2)) ) ) ) ),
    inference(rectify,[],[f18731]) ).

fof(f18731,axiom,
    ! [X31] :
      ( mem(X31,ty_2Eextreal_2Eextreal)
     => ! [X24] :
          ( mem(X24,ty_2Eextreal_2Eextreal)
         => ! [X39] :
              ( mem(X39,ty_2Eextreal_2Eextreal)
             => ( ( p(ap(ap(c_2Eextreal_2Eextreal__le,X24),X39))
                  & p(ap(ap(c_2Eextreal_2Eextreal__le,X31),X24)) )
               => p(ap(ap(c_2Eextreal_2Eextreal__le,X31),X39)) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).

fof(f27392,plain,
    ( p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK45),sK46)),sK44))
    | ~ spl539_1 ),
    inference(avatar_component_clause,[],[f27390]) ).

fof(f27390,plain,
    ( spl539_1
  <=> p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK45),sK46)),sK44)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl539_1])]) ).

fof(f27420,plain,
    p(ap(ap(c_2Eextreal_2Eextreal__le,sK46),ap(ap(c_2Eextreal_2Eextreal__max,sK45),sK46))),
    inference(unit_resulting_resolution,[],[f22907,f22908,f24410]) ).

fof(f24410,plain,
    ! [X0,X1] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,X1),ap(ap(c_2Eextreal_2Eextreal__max,X0),X1)))
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(cnf_transformation,[],[f20408]) ).

fof(f20408,plain,
    ! [X0] :
      ( ! [X1] :
          ( p(ap(ap(c_2Eextreal_2Eextreal__le,X1),ap(ap(c_2Eextreal_2Eextreal__max,X0),X1)))
          | ~ mem(X1,ty_2Eextreal_2Eextreal) )
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(ennf_transformation,[],[f19373]) ).

fof(f19373,plain,
    ! [X0] :
      ( mem(X0,ty_2Eextreal_2Eextreal)
     => ! [X1] :
          ( mem(X1,ty_2Eextreal_2Eextreal)
         => p(ap(ap(c_2Eextreal_2Eextreal__le,X1),ap(ap(c_2Eextreal_2Eextreal__max,X0),X1))) ) ),
    inference(rectify,[],[f19038]) ).

fof(f19038,axiom,
    ! [X31] :
      ( mem(X31,ty_2Eextreal_2Eextreal)
     => ! [X24] :
          ( mem(X24,ty_2Eextreal_2Eextreal)
         => p(ap(ap(c_2Eextreal_2Eextreal__le,X24),ap(ap(c_2Eextreal_2Eextreal__max,X31),X24))) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).

fof(f22907,plain,
    mem(sK45,ty_2Eextreal_2Eextreal),
    inference(cnf_transformation,[],[f21441]) ).

fof(f21441,plain,
    ( ( ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK46),sK44))
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK45),sK44))
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK45),sK46)),sK44)) )
    & ( ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK46),sK44))
        & p(ap(ap(c_2Eextreal_2Eextreal__le,sK45),sK44)) )
      | p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK45),sK46)),sK44)) )
    & mem(sK46,ty_2Eextreal_2Eextreal)
    & mem(sK45,ty_2Eextreal_2Eextreal)
    & mem(sK44,ty_2Eextreal_2Eextreal) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK44,sK45,sK46])],[f21437,f21440,f21439,f21438]) ).

fof(f21438,plain,
    ( ? [X0] :
        ( ? [X1] :
            ( ? [X2] :
                ( ( ~ p(ap(ap(c_2Eextreal_2Eextreal__le,X2),X0))
                  | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,X1),X0))
                  | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,X1),X2)),X0)) )
                & ( ( p(ap(ap(c_2Eextreal_2Eextreal__le,X2),X0))
                    & p(ap(ap(c_2Eextreal_2Eextreal__le,X1),X0)) )
                  | p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,X1),X2)),X0)) )
                & mem(X2,ty_2Eextreal_2Eextreal) )
            & mem(X1,ty_2Eextreal_2Eextreal) )
        & mem(X0,ty_2Eextreal_2Eextreal) )
   => ( ? [X1] :
          ( ? [X2] :
              ( ( ~ p(ap(ap(c_2Eextreal_2Eextreal__le,X2),sK44))
                | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,X1),sK44))
                | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,X1),X2)),sK44)) )
              & ( ( p(ap(ap(c_2Eextreal_2Eextreal__le,X2),sK44))
                  & p(ap(ap(c_2Eextreal_2Eextreal__le,X1),sK44)) )
                | p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,X1),X2)),sK44)) )
              & mem(X2,ty_2Eextreal_2Eextreal) )
          & mem(X1,ty_2Eextreal_2Eextreal) )
      & mem(sK44,ty_2Eextreal_2Eextreal) ) ),
    introduced(choice_axiom,[]) ).

fof(f21439,plain,
    ( ? [X1] :
        ( ? [X2] :
            ( ( ~ p(ap(ap(c_2Eextreal_2Eextreal__le,X2),sK44))
              | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,X1),sK44))
              | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,X1),X2)),sK44)) )
            & ( ( p(ap(ap(c_2Eextreal_2Eextreal__le,X2),sK44))
                & p(ap(ap(c_2Eextreal_2Eextreal__le,X1),sK44)) )
              | p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,X1),X2)),sK44)) )
            & mem(X2,ty_2Eextreal_2Eextreal) )
        & mem(X1,ty_2Eextreal_2Eextreal) )
   => ( ? [X2] :
          ( ( ~ p(ap(ap(c_2Eextreal_2Eextreal__le,X2),sK44))
            | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK45),sK44))
            | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK45),X2)),sK44)) )
          & ( ( p(ap(ap(c_2Eextreal_2Eextreal__le,X2),sK44))
              & p(ap(ap(c_2Eextreal_2Eextreal__le,sK45),sK44)) )
            | p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK45),X2)),sK44)) )
          & mem(X2,ty_2Eextreal_2Eextreal) )
      & mem(sK45,ty_2Eextreal_2Eextreal) ) ),
    introduced(choice_axiom,[]) ).

fof(f21440,plain,
    ( ? [X2] :
        ( ( ~ p(ap(ap(c_2Eextreal_2Eextreal__le,X2),sK44))
          | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK45),sK44))
          | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK45),X2)),sK44)) )
        & ( ( p(ap(ap(c_2Eextreal_2Eextreal__le,X2),sK44))
            & p(ap(ap(c_2Eextreal_2Eextreal__le,sK45),sK44)) )
          | p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK45),X2)),sK44)) )
        & mem(X2,ty_2Eextreal_2Eextreal) )
   => ( ( ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK46),sK44))
        | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK45),sK44))
        | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK45),sK46)),sK44)) )
      & ( ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK46),sK44))
          & p(ap(ap(c_2Eextreal_2Eextreal__le,sK45),sK44)) )
        | p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK45),sK46)),sK44)) )
      & mem(sK46,ty_2Eextreal_2Eextreal) ) ),
    introduced(choice_axiom,[]) ).

fof(f21437,plain,
    ? [X0] :
      ( ? [X1] :
          ( ? [X2] :
              ( ( ~ p(ap(ap(c_2Eextreal_2Eextreal__le,X2),X0))
                | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,X1),X0))
                | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,X1),X2)),X0)) )
              & ( ( p(ap(ap(c_2Eextreal_2Eextreal__le,X2),X0))
                  & p(ap(ap(c_2Eextreal_2Eextreal__le,X1),X0)) )
                | p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,X1),X2)),X0)) )
              & mem(X2,ty_2Eextreal_2Eextreal) )
          & mem(X1,ty_2Eextreal_2Eextreal) )
      & mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(flattening,[],[f21436]) ).

fof(f21436,plain,
    ? [X0] :
      ( ? [X1] :
          ( ? [X2] :
              ( ( ~ p(ap(ap(c_2Eextreal_2Eextreal__le,X2),X0))
                | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,X1),X0))
                | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,X1),X2)),X0)) )
              & ( ( p(ap(ap(c_2Eextreal_2Eextreal__le,X2),X0))
                  & p(ap(ap(c_2Eextreal_2Eextreal__le,X1),X0)) )
                | p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,X1),X2)),X0)) )
              & mem(X2,ty_2Eextreal_2Eextreal) )
          & mem(X1,ty_2Eextreal_2Eextreal) )
      & mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(nnf_transformation,[],[f20047]) ).

fof(f20047,plain,
    ? [X0] :
      ( ? [X1] :
          ( ? [X2] :
              ( ( p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,X1),X2)),X0))
              <~> ( p(ap(ap(c_2Eextreal_2Eextreal__le,X2),X0))
                  & p(ap(ap(c_2Eextreal_2Eextreal__le,X1),X0)) ) )
              & mem(X2,ty_2Eextreal_2Eextreal) )
          & mem(X1,ty_2Eextreal_2Eextreal) )
      & mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(ennf_transformation,[],[f19041]) ).

fof(f19041,plain,
    ~ ! [X0] :
        ( mem(X0,ty_2Eextreal_2Eextreal)
       => ! [X1] :
            ( mem(X1,ty_2Eextreal_2Eextreal)
           => ! [X2] :
                ( mem(X2,ty_2Eextreal_2Eextreal)
               => ( p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,X1),X2)),X0))
                <=> ( p(ap(ap(c_2Eextreal_2Eextreal__le,X2),X0))
                    & p(ap(ap(c_2Eextreal_2Eextreal__le,X1),X0)) ) ) ) ) ),
    inference(rectify,[],[f19040]) ).

fof(f19040,negated_conjecture,
    ~ ! [X318] :
        ( mem(X318,ty_2Eextreal_2Eextreal)
       => ! [X16] :
            ( mem(X16,ty_2Eextreal_2Eextreal)
           => ! [X17] :
                ( mem(X17,ty_2Eextreal_2Eextreal)
               => ( p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,X16),X17)),X318))
                <=> ( p(ap(ap(c_2Eextreal_2Eextreal__le,X17),X318))
                    & p(ap(ap(c_2Eextreal_2Eextreal__le,X16),X318)) ) ) ) ) ),
    inference(negated_conjecture,[],[f19039]) ).

fof(f19039,conjecture,
    ! [X318] :
      ( mem(X318,ty_2Eextreal_2Eextreal)
     => ! [X16] :
          ( mem(X16,ty_2Eextreal_2Eextreal)
         => ! [X17] :
              ( mem(X17,ty_2Eextreal_2Eextreal)
             => ( p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,X16),X17)),X318))
              <=> ( p(ap(ap(c_2Eextreal_2Eextreal__le,X17),X318))
                  & p(ap(ap(c_2Eextreal_2Eextreal__le,X16),X318)) ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).

fof(f33150,plain,
    ( mem(ap(ap(c_2Eextreal_2Eextreal__max,sK45),sK46),ty_2Eextreal_2Eextreal)
    | ~ spl539_36 ),
    inference(avatar_component_clause,[],[f33149]) ).

fof(f33149,plain,
    ( spl539_36
  <=> mem(ap(ap(c_2Eextreal_2Eextreal__max,sK45),sK46),ty_2Eextreal_2Eextreal) ),
    introduced(avatar_definition,[new_symbols(naming,[spl539_36])]) ).

fof(f22906,plain,
    mem(sK44,ty_2Eextreal_2Eextreal),
    inference(cnf_transformation,[],[f21441]) ).

fof(f22908,plain,
    mem(sK46,ty_2Eextreal_2Eextreal),
    inference(cnf_transformation,[],[f21441]) ).

fof(f37519,plain,
    ( ~ spl539_2
    | ~ spl539_3
    | ~ spl539_36
    | ~ spl539_37 ),
    inference(avatar_contradiction_clause,[],[f37518]) ).

fof(f37518,plain,
    ( $false
    | ~ spl539_2
    | ~ spl539_3
    | ~ spl539_36
    | ~ spl539_37 ),
    inference(subsumption_resolution,[],[f37445,f34635]) ).

fof(f34635,plain,
    ( p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK45),sK46)),ap(ap(c_2Eextreal_2Eextreal__max,sK45),sK46)))
    | ~ spl539_36 ),
    inference(unit_resulting_resolution,[],[f33150,f26875]) ).

fof(f26875,plain,
    ! [X1] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,X1),X1))
      | ~ mem(X1,ty_2Eextreal_2Eextreal) ),
    inference(duplicate_literal_removal,[],[f26662]) ).

fof(f26662,plain,
    ! [X1] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,X1),X1))
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X1,ty_2Eextreal_2Eextreal) ),
    inference(equality_resolution,[],[f24392]) ).

fof(f24392,plain,
    ! [X0,X1] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,X1),X0))
      | X0 != X1
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(cnf_transformation,[],[f21978]) ).

fof(f21978,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( ( ( p(ap(ap(c_2Eextreal_2Eextreal__le,X1),X0))
                & p(ap(ap(c_2Eextreal_2Eextreal__le,X0),X1)) )
              | X0 != X1 )
            & ( X0 = X1
              | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,X1),X0))
              | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,X0),X1)) ) )
          | ~ mem(X1,ty_2Eextreal_2Eextreal) )
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(flattening,[],[f21977]) ).

fof(f21977,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( ( ( p(ap(ap(c_2Eextreal_2Eextreal__le,X1),X0))
                & p(ap(ap(c_2Eextreal_2Eextreal__le,X0),X1)) )
              | X0 != X1 )
            & ( X0 = X1
              | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,X1),X0))
              | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,X0),X1)) ) )
          | ~ mem(X1,ty_2Eextreal_2Eextreal) )
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(nnf_transformation,[],[f20399]) ).

fof(f20399,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( ( p(ap(ap(c_2Eextreal_2Eextreal__le,X1),X0))
              & p(ap(ap(c_2Eextreal_2Eextreal__le,X0),X1)) )
          <=> X0 = X1 )
          | ~ mem(X1,ty_2Eextreal_2Eextreal) )
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(ennf_transformation,[],[f19366]) ).

fof(f19366,plain,
    ! [X0] :
      ( mem(X0,ty_2Eextreal_2Eextreal)
     => ! [X1] :
          ( mem(X1,ty_2Eextreal_2Eextreal)
         => ( ( p(ap(ap(c_2Eextreal_2Eextreal__le,X1),X0))
              & p(ap(ap(c_2Eextreal_2Eextreal__le,X0),X1)) )
          <=> X0 = X1 ) ) ),
    inference(rectify,[],[f18734]) ).

fof(f18734,axiom,
    ! [X31] :
      ( mem(X31,ty_2Eextreal_2Eextreal)
     => ! [X24] :
          ( mem(X24,ty_2Eextreal_2Eextreal)
         => ( ( p(ap(ap(c_2Eextreal_2Eextreal__le,X24),X31))
              & p(ap(ap(c_2Eextreal_2Eextreal__le,X31),X24)) )
          <=> X24 = X31 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).

fof(f37445,plain,
    ( ~ p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK45),sK46)),ap(ap(c_2Eextreal_2Eextreal__max,sK45),sK46)))
    | ~ spl539_2
    | ~ spl539_3
    | ~ spl539_36
    | ~ spl539_37 ),
    inference(unit_resulting_resolution,[],[f22908,f22907,f33150,f33614,f33615,f24406]) ).

fof(f24406,plain,
    ! [X2,X0,X1] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,X0),X2))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),X1))
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,X0),ap(ap(c_2Eextreal_2Eextreal__max,X1),X2)))
      | ~ mem(X2,ty_2Eextreal_2Eextreal)
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(cnf_transformation,[],[f21983]) ).

fof(f21983,plain,
    ! [X0] :
      ( ! [X1] :
          ( ! [X2] :
              ( ( ( p(ap(ap(c_2Eextreal_2Eextreal__le,X0),ap(ap(c_2Eextreal_2Eextreal__max,X1),X2)))
                  | ( ~ p(ap(ap(c_2Eextreal_2Eextreal__le,X0),X2))
                    & ~ p(ap(ap(c_2Eextreal_2Eextreal__le,X0),X1)) ) )
                & ( p(ap(ap(c_2Eextreal_2Eextreal__le,X0),X2))
                  | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),X1))
                  | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,X0),ap(ap(c_2Eextreal_2Eextreal__max,X1),X2))) ) )
              | ~ mem(X2,ty_2Eextreal_2Eextreal) )
          | ~ mem(X1,ty_2Eextreal_2Eextreal) )
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(flattening,[],[f21982]) ).

fof(f21982,plain,
    ! [X0] :
      ( ! [X1] :
          ( ! [X2] :
              ( ( ( p(ap(ap(c_2Eextreal_2Eextreal__le,X0),ap(ap(c_2Eextreal_2Eextreal__max,X1),X2)))
                  | ( ~ p(ap(ap(c_2Eextreal_2Eextreal__le,X0),X2))
                    & ~ p(ap(ap(c_2Eextreal_2Eextreal__le,X0),X1)) ) )
                & ( p(ap(ap(c_2Eextreal_2Eextreal__le,X0),X2))
                  | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),X1))
                  | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,X0),ap(ap(c_2Eextreal_2Eextreal__max,X1),X2))) ) )
              | ~ mem(X2,ty_2Eextreal_2Eextreal) )
          | ~ mem(X1,ty_2Eextreal_2Eextreal) )
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(nnf_transformation,[],[f20406]) ).

fof(f20406,plain,
    ! [X0] :
      ( ! [X1] :
          ( ! [X2] :
              ( ( p(ap(ap(c_2Eextreal_2Eextreal__le,X0),ap(ap(c_2Eextreal_2Eextreal__max,X1),X2)))
              <=> ( p(ap(ap(c_2Eextreal_2Eextreal__le,X0),X2))
                  | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),X1)) ) )
              | ~ mem(X2,ty_2Eextreal_2Eextreal) )
          | ~ mem(X1,ty_2Eextreal_2Eextreal) )
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(ennf_transformation,[],[f19371]) ).

fof(f19371,plain,
    ! [X0] :
      ( mem(X0,ty_2Eextreal_2Eextreal)
     => ! [X1] :
          ( mem(X1,ty_2Eextreal_2Eextreal)
         => ! [X2] :
              ( mem(X2,ty_2Eextreal_2Eextreal)
             => ( p(ap(ap(c_2Eextreal_2Eextreal__le,X0),ap(ap(c_2Eextreal_2Eextreal__max,X1),X2)))
              <=> ( p(ap(ap(c_2Eextreal_2Eextreal__le,X0),X2))
                  | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),X1)) ) ) ) ) ),
    inference(rectify,[],[f19036]) ).

fof(f19036,axiom,
    ! [X318] :
      ( mem(X318,ty_2Eextreal_2Eextreal)
     => ! [X16] :
          ( mem(X16,ty_2Eextreal_2Eextreal)
         => ! [X17] :
              ( mem(X17,ty_2Eextreal_2Eextreal)
             => ( p(ap(ap(c_2Eextreal_2Eextreal__le,X318),ap(ap(c_2Eextreal_2Eextreal__max,X16),X17)))
              <=> ( p(ap(ap(c_2Eextreal_2Eextreal__le,X318),X17))
                  | p(ap(ap(c_2Eextreal_2Eextreal__le,X318),X16)) ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).

fof(f33615,plain,
    ( ~ p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK45),sK46)),sK45))
    | ~ spl539_2
    | ~ spl539_37 ),
    inference(unit_resulting_resolution,[],[f22907,f27396,f33154]) ).

fof(f33154,plain,
    ( ! [X0] :
        ( ~ mem(X0,ty_2Eextreal_2Eextreal)
        | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK44))
        | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK45),sK46)),X0)) )
    | ~ spl539_37 ),
    inference(avatar_component_clause,[],[f33153]) ).

fof(f33153,plain,
    ( spl539_37
  <=> ! [X0] :
        ( ~ p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK44))
        | ~ mem(X0,ty_2Eextreal_2Eextreal)
        | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK45),sK46)),X0)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl539_37])]) ).

fof(f27396,plain,
    ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK45),sK44))
    | ~ spl539_2 ),
    inference(avatar_component_clause,[],[f27394]) ).

fof(f27394,plain,
    ( spl539_2
  <=> p(ap(ap(c_2Eextreal_2Eextreal__le,sK45),sK44)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl539_2])]) ).

fof(f33614,plain,
    ( ~ p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK45),sK46)),sK46))
    | ~ spl539_3
    | ~ spl539_37 ),
    inference(unit_resulting_resolution,[],[f22908,f27401,f33154]) ).

fof(f27401,plain,
    ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK46),sK44))
    | ~ spl539_3 ),
    inference(avatar_component_clause,[],[f27399]) ).

fof(f33439,plain,
    ( ~ spl539_1
    | spl539_2
    | ~ spl539_36 ),
    inference(avatar_contradiction_clause,[],[f33438]) ).

fof(f33438,plain,
    ( $false
    | ~ spl539_1
    | spl539_2
    | ~ spl539_36 ),
    inference(subsumption_resolution,[],[f33375,f33150]) ).

fof(f33375,plain,
    ( ~ mem(ap(ap(c_2Eextreal_2Eextreal__max,sK45),sK46),ty_2Eextreal_2Eextreal)
    | ~ spl539_1
    | spl539_2 ),
    inference(unit_resulting_resolution,[],[f22907,f22906,f27429,f27392,f27395,f24389]) ).

fof(f27395,plain,
    ( ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK45),sK44))
    | spl539_2 ),
    inference(avatar_component_clause,[],[f27394]) ).

fof(f27429,plain,
    p(ap(ap(c_2Eextreal_2Eextreal__le,sK45),ap(ap(c_2Eextreal_2Eextreal__max,sK45),sK46))),
    inference(unit_resulting_resolution,[],[f22907,f22908,f24411]) ).

fof(f24411,plain,
    ! [X0,X1] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,X0),ap(ap(c_2Eextreal_2Eextreal__max,X0),X1)))
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(cnf_transformation,[],[f20409]) ).

fof(f20409,plain,
    ! [X0] :
      ( ! [X1] :
          ( p(ap(ap(c_2Eextreal_2Eextreal__le,X0),ap(ap(c_2Eextreal_2Eextreal__max,X0),X1)))
          | ~ mem(X1,ty_2Eextreal_2Eextreal) )
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(ennf_transformation,[],[f19374]) ).

fof(f19374,plain,
    ! [X0] :
      ( mem(X0,ty_2Eextreal_2Eextreal)
     => ! [X1] :
          ( mem(X1,ty_2Eextreal_2Eextreal)
         => p(ap(ap(c_2Eextreal_2Eextreal__le,X0),ap(ap(c_2Eextreal_2Eextreal__max,X0),X1))) ) ),
    inference(rectify,[],[f19037]) ).

fof(f19037,axiom,
    ! [X31] :
      ( mem(X31,ty_2Eextreal_2Eextreal)
     => ! [X24] :
          ( mem(X24,ty_2Eextreal_2Eextreal)
         => p(ap(ap(c_2Eextreal_2Eextreal__le,X31),ap(ap(c_2Eextreal_2Eextreal__max,X31),X24))) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).

fof(f33235,plain,
    spl539_36,
    inference(avatar_contradiction_clause,[],[f33234]) ).

fof(f33234,plain,
    ( $false
    | spl539_36 ),
    inference(subsumption_resolution,[],[f33232,f31660]) ).

fof(f31660,plain,
    mem(ap(c_2Eextreal_2Eextreal__max,sK45),arr(ty_2Eextreal_2Eextreal,ty_2Eextreal_2Eextreal)),
    inference(unit_resulting_resolution,[],[f22907,f24412,f24416]) ).

fof(f24416,plain,
    ! [X2,X3,X0,X1] :
      ( mem(ap(X2,X3),X1)
      | ~ mem(X3,X0)
      | ~ mem(X2,arr(X0,X1)) ),
    inference(cnf_transformation,[],[f20412]) ).

fof(f20412,plain,
    ! [X0,X1,X2] :
      ( ! [X3] :
          ( mem(ap(X2,X3),X1)
          | ~ mem(X3,X0) )
      | ~ mem(X2,arr(X0,X1)) ),
    inference(ennf_transformation,[],[f4]) ).

fof(f4,axiom,
    ! [X0,X1,X2] :
      ( mem(X2,arr(X0,X1))
     => ! [X3] :
          ( mem(X3,X0)
         => mem(ap(X2,X3),X1) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).

fof(f24412,plain,
    mem(c_2Eextreal_2Eextreal__max,arr(ty_2Eextreal_2Eextreal,arr(ty_2Eextreal_2Eextreal,ty_2Eextreal_2Eextreal))),
    inference(cnf_transformation,[],[f18639]) ).

fof(f18639,axiom,
    mem(c_2Eextreal_2Eextreal__max,arr(ty_2Eextreal_2Eextreal,arr(ty_2Eextreal_2Eextreal,ty_2Eextreal_2Eextreal))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).

fof(f33232,plain,
    ( ~ mem(ap(c_2Eextreal_2Eextreal__max,sK45),arr(ty_2Eextreal_2Eextreal,ty_2Eextreal_2Eextreal))
    | spl539_36 ),
    inference(unit_resulting_resolution,[],[f22908,f33151,f24416]) ).

fof(f33151,plain,
    ( ~ mem(ap(ap(c_2Eextreal_2Eextreal__max,sK45),sK46),ty_2Eextreal_2Eextreal)
    | spl539_36 ),
    inference(avatar_component_clause,[],[f33149]) ).

fof(f33155,plain,
    ( ~ spl539_36
    | spl539_37
    | spl539_1 ),
    inference(avatar_split_clause,[],[f33039,f27390,f33153,f33149]) ).

fof(f33039,plain,
    ( ! [X0] :
        ( ~ p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK44))
        | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK45),sK46)),X0))
        | ~ mem(X0,ty_2Eextreal_2Eextreal)
        | ~ mem(ap(ap(c_2Eextreal_2Eextreal__max,sK45),sK46),ty_2Eextreal_2Eextreal) )
    | spl539_1 ),
    inference(subsumption_resolution,[],[f32986,f22906]) ).

fof(f32986,plain,
    ( ! [X0] :
        ( ~ p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK44))
        | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK45),sK46)),X0))
        | ~ mem(sK44,ty_2Eextreal_2Eextreal)
        | ~ mem(X0,ty_2Eextreal_2Eextreal)
        | ~ mem(ap(ap(c_2Eextreal_2Eextreal__max,sK45),sK46),ty_2Eextreal_2Eextreal) )
    | spl539_1 ),
    inference(resolution,[],[f27391,f24389]) ).

fof(f27391,plain,
    ( ~ p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK45),sK46)),sK44))
    | spl539_1 ),
    inference(avatar_component_clause,[],[f27390]) ).

fof(f27412,plain,
    ( ~ spl539_1
    | ~ spl539_2
    | ~ spl539_3 ),
    inference(avatar_split_clause,[],[f22911,f27399,f27394,f27390]) ).

fof(f22911,plain,
    ( ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK46),sK44))
    | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK45),sK44))
    | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK45),sK46)),sK44)) ),
    inference(cnf_transformation,[],[f21441]) ).

fof(f27402,plain,
    ( spl539_1
    | spl539_3 ),
    inference(avatar_split_clause,[],[f22910,f27399,f27390]) ).

fof(f22910,plain,
    ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK46),sK44))
    | p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK45),sK46)),sK44)) ),
    inference(cnf_transformation,[],[f21441]) ).

fof(f27397,plain,
    ( spl539_1
    | spl539_2 ),
    inference(avatar_split_clause,[],[f22909,f27394,f27390]) ).

fof(f22909,plain,
    ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK45),sK44))
    | p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK45),sK46)),sK44)) ),
    inference(cnf_transformation,[],[f21441]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09  % Problem    : ITP021+5 : TPTP v8.2.0. Bugfixed v7.5.0.
% 0.00/0.09  % Command    : run_vampire %s %d THM
% 0.09/0.29  % Computer : n018.cluster.edu
% 0.09/0.29  % Model    : x86_64 x86_64
% 0.09/0.29  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.29  % Memory   : 8042.1875MB
% 0.09/0.29  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.09/0.29  % CPULimit   : 300
% 0.09/0.29  % WCLimit    : 300
% 0.09/0.29  % DateTime   : Wed Jun 19 00:14:25 EDT 2024
% 0.09/0.29  % CPUTime    : 
% 0.14/0.30  This is a FOF_THM_RFO_SEQ problem
% 0.14/0.30  Running first-order theorem proving
% 0.14/0.30  Running /export/starexec/sandbox/solver/bin/vampire --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.74/1.94  % (10291)Running in auto input_syntax mode. Trying TPTP
% 1.74/1.94  % (10326)lrs-1002_12164383:1048576_anc=all_dependent:bsr=on:sil=256000:i=187735:bs=unit_only:awrs=decay:awrsf=132:ep=R:amm=off:uhcvi=on:abs=on_0 on theBenchmark for (2998ds/187735Mi)
% 1.74/1.97  % (10291)Running in auto input_syntax mode. Trying TPTP
% 1.74/1.97  % (10333)lrs+1011_1:1_sil=8000:nicw=on:i=1004:sd=1:ss=axioms:sgt=64_0 on theBenchmark for (2998ds/1004Mi)
% 1.74/1.97  % (10291)Running in auto input_syntax mode. Trying TPTP
% 1.74/1.97  % (10328)dis+1011_1:1_sil=16000:nwc=7.0:s2agt=64:s2a=on:i=1102:ss=axioms:sgt=8:lsd=50:sd=7_0 on theBenchmark for (2998ds/1102Mi)
% 1.74/1.97  % (10291)Running in auto input_syntax mode. Trying TPTP
% 1.74/1.97  % (10329)dis+1010_1:1_drc=off:sil=32000:rp=on:cond=fast:i=886:av=off:newcnf=on:bd=off:sfv=off:plsq=on:plsqr=1,32:erd=off_0 on theBenchmark for (2998ds/886Mi)
% 1.74/1.97  % (10291)Running in auto input_syntax mode. Trying TPTP
% 1.74/1.97  % (10330)lrs+1010_1:1_to=lpo:sil=8000:sos=on:spb=goal:rp=on:i=1785:nm=6:ss=included:sd=1_0 on theBenchmark for (2998ds/1785Mi)
% 1.74/1.97  % (10291)Running in auto input_syntax mode. Trying TPTP
% 1.74/1.97  % (10332)ott-1010_16:1_bsr=unit_only:sil=64000:sos=on:urr=on:sac=on:i=3480:sd=2:kws=inv_frequency:ins=4:ss=axioms:br=off_0 on theBenchmark for (2998ds/3480Mi)
% 1.74/1.97  % (10291)Running in auto input_syntax mode. Trying TPTP
% 1.74/1.97  % (10327)lrs-1011_8:1_plsq=on:urr=on:nwc=10.0:sac=on:newcnf=on:s2a=on:i=235504:sd=2:ss=axioms:sil=256000:kws=inv_frequency:gsp=on_0 on theBenchmark for (2998ds/235504Mi)
% 1.75/2.30  % (10329)Instruction limit reached!
% 1.75/2.30  % (10329)------------------------------
% 1.75/2.30  % (10329)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 1.75/2.30  % (10329)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 1.75/2.30  % (10329)Termination reason: Time limit
% 1.75/2.30  % (10329)Termination phase: Preprocessing 1
% 1.75/2.30  
% 1.75/2.30  % (10329)Memory used [KB]: 60766
% 1.75/2.30  % (10329)Time elapsed: 0.332 s
% 1.75/2.30  % (10329)Instructions burned: 887 (million)
% 4.40/2.37  % (10291)Running in auto input_syntax mode. Trying TPTP
% 4.40/2.37  % (10337)lrs+1002_1:4_sil=2000:fde=unused:plsq=on:plsqr=32,1:sos=on:bce=on:i=307:sd=1:ss=included:rawr=on_0 on theBenchmark for (2994ds/307Mi)
% 5.05/2.48  % (10333)Instruction limit reached!
% 5.05/2.48  % (10333)------------------------------
% 5.05/2.48  % (10333)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 5.05/2.48  % (10333)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 5.05/2.48  % (10333)Termination reason: Time limit
% 5.05/2.48  % (10333)Termination phase: Saturation
% 5.05/2.48  
% 5.05/2.48  % (10333)Memory used [KB]: 47951
% 5.05/2.48  % (10333)Time elapsed: 0.516 s
% 5.05/2.48  % (10333)Instructions burned: 1005 (million)
% 5.58/2.54  % (10337)Instruction limit reached!
% 5.58/2.54  % (10337)------------------------------
% 5.58/2.54  % (10337)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 5.58/2.54  % (10328)Instruction limit reached!
% 5.58/2.54  % (10328)------------------------------
% 5.58/2.54  % (10328)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 5.58/2.54  % (10328)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 5.58/2.54  % (10328)Termination reason: Time limit
% 5.58/2.54  % (10328)Termination phase: Saturation
% 5.58/2.54  
% 5.58/2.54  % (10328)Memory used [KB]: 47747
% 5.58/2.54  % (10328)Time elapsed: 0.582 s
% 5.58/2.54  % (10328)Instructions burned: 1104 (million)
% 5.58/2.55  % (10337)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 5.58/2.55  % (10337)Termination reason: Time limit
% 5.58/2.55  % (10337)Termination phase: Preprocessing 3
% 5.58/2.55  
% 5.58/2.55  % (10337)Memory used [KB]: 45421
% 5.58/2.55  % (10337)Time elapsed: 0.181 s
% 5.58/2.55  % (10337)Instructions burned: 308 (million)
% 5.58/2.55  % (10291)Running in auto input_syntax mode. Trying TPTP
% 5.58/2.55  % (10343)dis-1010_1:1_bsr=unit_only:to=lpo:sil=256000:fde=none:plsq=on:plsqr=205,29:sp=occurrence:sos=on:abs=on:newcnf=on:st=6.0:i=5784:sd=2:bd=off:amm=off:ss=axioms:rawr=on_0 on theBenchmark for (2993ds/5784Mi)
% 6.22/2.61  % (10291)Running in auto input_syntax mode. Trying TPTP
% 6.22/2.61  % (10347)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=1126:ss=axioms:sgt=8_0 on theBenchmark for (2992ds/1126Mi)
% 6.22/2.61  % (10291)Running in auto input_syntax mode. Trying TPTP
% 6.22/2.61  % (10346)lrs+2_1:1_sil=256000:plsq=on:plsqr=17685,131072:sos=on:lcm=reverse:i=311:av=off:ss=axioms:ep=RST:sd=2_0 on theBenchmark for (2992ds/311Mi)
% 6.72/2.78  % (10346)Instruction limit reached!
% 6.72/2.78  % (10346)------------------------------
% 6.72/2.78  % (10346)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 6.72/2.78  % (10346)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 6.72/2.78  % (10346)Termination reason: Time limit
% 6.72/2.78  % (10346)Termination phase: Saturation
% 6.72/2.78  
% 6.72/2.78  % (10346)Memory used [KB]: 43692
% 6.72/2.78  % (10346)Time elapsed: 0.177 s
% 6.72/2.78  % (10346)Instructions burned: 311 (million)
% 6.72/2.81  % (10330)Instruction limit reached!
% 6.72/2.81  % (10330)------------------------------
% 6.72/2.81  % (10330)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 6.72/2.81  % (10330)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 6.72/2.81  % (10330)Termination reason: Time limit
% 6.72/2.81  % (10330)Termination phase: Saturation
% 6.72/2.81  
% 6.72/2.81  % (10330)Memory used [KB]: 62904
% 6.72/2.81  % (10330)Time elapsed: 0.843 s
% 6.72/2.81  % (10330)Instructions burned: 1785 (million)
% 7.91/2.85  % (10291)Running in auto input_syntax mode. Trying TPTP
% 7.91/2.85  % (10350)ott-1011_11873131:1048576_drc=encompass:fde=unused:plsq=on:plsqr=3,59:sp=frequency:urr=on:nwc=13.753829265569435:sac=on:st=1.5:s2a=on:i=14494:sd=3:afp=10:bd=preordered:afq=2.759712924428805:ss=axioms:bs=on:sil=256000:kws=inv_frequency:bce=on:s2agt=8:sgt=8:awrs=decay:awrsf=80:nm=32:rawr=on_0 on theBenchmark for (2990ds/14494Mi)
% 7.91/2.87  % (10291)Running in auto input_syntax mode. Trying TPTP
% 7.91/2.87  % (10353)lrs+2_1:1_sil=2000:tgt=ground:sos=on:i=867:sd=1:ss=included:to=lpo:plsq=on:plsqr=32,1_0 on theBenchmark for (2989ds/867Mi)
% 9.04/3.08  % (10347)Instruction limit reached!
% 9.04/3.08  % (10347)------------------------------
% 9.04/3.08  % (10347)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 9.04/3.08  % (10347)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 9.04/3.08  % (10347)Termination reason: Time limit
% 9.04/3.08  % (10347)Termination phase: Saturation
% 9.04/3.08  
% 9.04/3.08  % (10347)Memory used [KB]: 48471
% 9.04/3.08  % (10347)Time elapsed: 0.485 s
% 9.04/3.08  % (10347)Instructions burned: 1126 (million)
% 9.66/3.14  % (10291)Running in auto input_syntax mode. Trying TPTP
% 9.66/3.14  % (10356)dis-1010_1:8_sil=256000:i=7640:nm=16:av=off:erd=off:sfv=off:fd=off:bd=off_0 on theBenchmark for (2987ds/7640Mi)
% 10.64/3.32  % (10353)Instruction limit reached!
% 10.64/3.32  % (10353)------------------------------
% 10.64/3.32  % (10353)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 10.64/3.32  % (10353)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 10.64/3.32  % (10353)Termination reason: Time limit
% 10.64/3.32  % (10353)Termination phase: Saturation
% 10.64/3.32  
% 10.64/3.32  % (10353)Memory used [KB]: 55551
% 10.64/3.32  % (10353)Time elapsed: 0.445 s
% 10.64/3.32  % (10353)Instructions burned: 867 (million)
% 10.64/3.36  % (10332)Instruction limit reached!
% 10.64/3.36  % (10332)------------------------------
% 10.64/3.36  % (10332)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 10.64/3.36  % (10332)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 10.64/3.36  % (10332)Termination reason: Time limit
% 10.64/3.36  % (10332)Termination phase: Saturation
% 10.64/3.36  
% 10.64/3.36  % (10332)Memory used [KB]: 64806
% 10.64/3.36  % (10332)Time elapsed: 1.401 s
% 10.64/3.36  % (10332)Instructions burned: 3481 (million)
% 10.64/3.38  % (10291)Running in auto input_syntax mode. Trying TPTP
% 10.64/3.38  % (10362)lrs-1010_2:1_sil=4000:tgt=ground:sos=on:erd=off:bce=on:st=4.5:i=365:sd=1:kws=inv_frequency:ss=axioms:sgt=100:rawr=on:avsq=on:avsqr=17,12:plsq=on:plsqr=25,62:anc=all_dependent_0 on theBenchmark for (2984ds/365Mi)
% 12.08/3.41  % (10291)Running in auto input_syntax mode. Trying TPTP
% 12.08/3.41  % (10364)lrs-1010_1:1_to=lpo:sil=2000:i=369:sd=2:ss=axioms:av=off:sos=on_0 on theBenchmark for (2984ds/369Mi)
% 12.80/3.52  % (10362)Instruction limit reached!
% 12.80/3.52  % (10362)------------------------------
% 12.80/3.52  % (10362)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 12.80/3.52  % (10362)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 12.80/3.52  % (10362)Termination reason: Time limit
% 12.80/3.52  % (10362)Termination phase: Blocked clause elimination
% 12.80/3.52  
% 12.80/3.52  % (10362)Memory used [KB]: 43826
% 12.80/3.52  % (10362)Time elapsed: 0.136 s
% 12.80/3.52  % (10362)Instructions burned: 367 (million)
% 12.80/3.55  % (10364)Instruction limit reached!
% 12.80/3.55  % (10364)------------------------------
% 12.80/3.55  % (10364)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 12.80/3.55  % (10364)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 12.80/3.55  % (10364)Termination reason: Time limit
% 12.80/3.55  % (10364)Termination phase: Saturation
% 12.80/3.55  
% 12.80/3.55  % (10364)Memory used [KB]: 44119
% 12.80/3.55  % (10364)Time elapsed: 0.164 s
% 12.80/3.55  % (10364)Instructions burned: 369 (million)
% 12.80/3.56  % (10291)Running in auto input_syntax mode. Trying TPTP
% 12.80/3.56  % (10418)dis-1011_1:1_sil=8000:nwc=5.0:slsqc=2:slsq=on:s2a=on:i=659:slsql=off:s2agt=16:ss=axioms_0 on theBenchmark for (2982ds/659Mi)
% 12.80/3.59  % (10291)Running in auto input_syntax mode. Trying TPTP
% 12.80/3.59  % (10429)lrs+1011_1:1024_slsqr=1,8:sil=2000:rp=on:nwc=10.0:newcnf=on:slsq=on:st=1.5:s2a=on:i=400:sd=1:awrs=converge:awrsf=390:ep=RST:ss=axioms:sac=on_0 on theBenchmark for (2982ds/400Mi)
% 13.80/3.75  % (10429)Instruction limit reached!
% 13.80/3.75  % (10429)------------------------------
% 13.80/3.75  % (10429)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 13.80/3.75  % (10429)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 13.80/3.75  % (10429)Termination reason: Time limit
% 13.80/3.75  % (10429)Termination phase: SInE selection
% 13.80/3.75  
% 13.80/3.75  % (10429)Memory used [KB]: 41502
% 13.80/3.75  % (10429)Time elapsed: 0.162 s
% 13.80/3.75  % (10429)Instructions burned: 400 (million)
% 14.48/3.79  % (10291)Running in auto input_syntax mode. Trying TPTP
% 14.48/3.79  % (10523)dis-1010_1:1024_sil=64000:tgt=full:i=11462:nm=0:av=off:ep=RST:fsr=off:bs=unit_only_0 on theBenchmark for (2980ds/11462Mi)
% 14.58/3.81  % (10418)Instruction limit reached!
% 14.58/3.81  % (10418)------------------------------
% 14.58/3.81  % (10418)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 14.58/3.81  % (10418)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 14.58/3.81  % (10418)Termination reason: Time limit
% 14.58/3.81  % (10418)Termination phase: Saturation
% 14.58/3.81  
% 14.58/3.81  % (10418)Memory used [KB]: 44952
% 14.58/3.81  % (10418)Time elapsed: 0.281 s
% 14.58/3.81  % (10418)Instructions burned: 661 (million)
% 14.58/3.85  % (10291)Running in auto input_syntax mode. Trying TPTP
% 14.58/3.85  % (10541)dis+2_8:1_sil=2000:fde=unused:s2a=on:i=417:sd=2:ss=included_0 on theBenchmark for (2979ds/417Mi)
% 15.80/4.05  % (10541)Instruction limit reached!
% 15.80/4.05  % (10541)------------------------------
% 15.80/4.05  % (10541)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 15.80/4.05  % (10541)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 15.80/4.05  % (10541)Termination reason: Time limit
% 15.80/4.05  % (10541)Termination phase: SInE selection
% 15.80/4.05  
% 15.80/4.05  % (10541)Memory used [KB]: 41517
% 15.80/4.05  % (10541)Time elapsed: 0.205 s
% 15.80/4.05  % (10541)Instructions burned: 418 (million)
% 16.50/4.09  % (10291)Running in auto input_syntax mode. Trying TPTP
% 16.50/4.09  % (10601)lrs+21_1:1_sil=16000:nwc=19.4924:s2agt=16:s2a=on:i=1369:sd=2:bd=off:ss=axioms:sgt=8:fs=off:fsr=off_0 on theBenchmark for (2977ds/1369Mi)
% 18.26/4.37  % (10343)Instruction limit reached!
% 18.26/4.37  % (10343)------------------------------
% 18.26/4.37  % (10343)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 18.26/4.37  % (10343)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 18.26/4.37  % (10343)Termination reason: Time limit
% 18.26/4.37  % (10343)Termination phase: Saturation
% 18.26/4.37  
% 18.26/4.37  % (10343)Memory used [KB]: 68493
% 18.26/4.37  % (10343)Time elapsed: 1.846 s
% 18.26/4.37  % (10343)Instructions burned: 5784 (million)
% 19.09/4.41  % (10291)Running in auto input_syntax mode. Trying TPTP
% 19.09/4.41  % (10602)dis-1011_1785:1048576_bsr=unit_only:sil=4000:tgt=ground:plsqc=1:plsq=on:plsqr=125493,524288:sp=frequency:spb=goal:plsql=on:nwc=2.32086:updr=off:newcnf=on:cond=fast:st=2:s2a=on:i=1705:s2at=4:bd=off:nm=3:ins=3:aer=off:uhcvi=on:afr=on:ss=axioms:sgt=20:rawr=on:fsr=off_0 on theBenchmark for (2974ds/1705Mi)
% 19.70/4.58  % (10601)Instruction limit reached!
% 19.70/4.58  % (10601)------------------------------
% 19.70/4.58  % (10601)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 19.70/4.58  % (10601)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 19.70/4.58  % (10601)Termination reason: Time limit
% 19.70/4.58  % (10601)Termination phase: Saturation
% 19.70/4.58  
% 19.70/4.58  % (10601)Memory used [KB]: 55761
% 19.70/4.58  % (10601)Time elapsed: 0.488 s
% 19.70/4.58  % (10601)Instructions burned: 1370 (million)
% 20.16/4.61  % (10291)Running in auto input_syntax mode. Trying TPTP
% 20.16/4.61  % (10604)dis-1010_8:1_sil=64000:sp=occurrence:sos=on:st=2.0:i=789:sd=3:bd=off:ss=axioms:acc=model:to=lpo:sup=off:fs=off:fsr=off:sgt=32_0 on theBenchmark for (2972ds/789Mi)
% 21.98/4.87  % (10604)Instruction limit reached!
% 21.98/4.87  % (10604)------------------------------
% 21.98/4.87  % (10604)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 21.98/4.87  % (10604)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 21.98/4.87  % (10604)Termination reason: Time limit
% 21.98/4.87  % (10604)Termination phase: Saturation
% 21.98/4.87  
% 21.98/4.87  % (10604)Memory used [KB]: 52307
% 21.98/4.87  % (10604)Time elapsed: 0.261 s
% 21.98/4.87  % (10604)Instructions burned: 792 (million)
% 22.49/4.91  % (10291)Running in auto input_syntax mode. Trying TPTP
% 22.49/4.91  % (10605)dis+1010_2:1_sil=2000:sos=on:rp=on:st=1.5:i=1523:ins=7:fsr=off:amm=off:ss=axioms:sd=4:fs=off:kws=inv_frequency_0 on theBenchmark for (2969ds/1523Mi)
% 22.49/4.95  % (10602)Instruction limit reached!
% 22.49/4.95  % (10602)------------------------------
% 22.49/4.95  % (10602)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 22.49/4.95  % (10602)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 22.49/4.95  % (10602)Termination reason: Time limit
% 22.49/4.95  % (10602)Termination phase: Preprocessing 1
% 22.49/4.95  
% 22.49/4.95  % (10602)Memory used [KB]: 61021
% 22.49/4.95  % (10602)Time elapsed: 0.540 s
% 22.49/4.95  % (10602)Instructions burned: 1706 (million)
% 22.98/4.99  % (10291)Running in auto input_syntax mode. Trying TPTP
% 22.98/4.99  % (10606)ott+10_107421:1048576_to=lpo:drc=off:sil=4000:fde=none:sos=on:lma=on:spb=intro:gs=on:nwc=24.2524:gsem=off:i=504:sd=3:afp=40000:awrs=decay:awrsf=1166:nm=6:afq=1.99252:uhcvi=on:ss=axioms:rawr=on:sp=const_max:add=off_0 on theBenchmark for (2968ds/504Mi)
% 23.23/5.10  % (10356)Instruction limit reached!
% 23.23/5.10  % (10356)------------------------------
% 23.23/5.10  % (10356)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 23.23/5.10  % (10356)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 23.23/5.10  % (10356)Termination reason: Time limit
% 23.23/5.10  % (10356)Termination phase: Saturation
% 23.23/5.10  
% 23.23/5.10  % (10356)Memory used [KB]: 187962
% 23.23/5.10  % (10356)Time elapsed: 1.959 s
% 23.23/5.10  % (10356)Instructions burned: 7643 (million)
% 23.69/5.12  % (10350)First to succeed.
% 23.69/5.12  % (10350)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-10291"
% 23.69/5.13  % (10291)Running in auto input_syntax mode. Trying TPTP
% 23.69/5.13  % (10350)Refutation found. Thanks to Tanya!
% 23.69/5.13  % SZS status Theorem for theBenchmark
% 23.69/5.13  % SZS output start Proof for theBenchmark
% See solution above
% 23.69/5.13  % (10350)------------------------------
% 23.69/5.13  % (10350)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 23.69/5.13  % (10350)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 23.69/5.13  % (10350)Termination reason: Refutation
% 23.69/5.13  
% 23.69/5.13  % (10350)Memory used [KB]: 60259
% 23.69/5.13  % (10350)Time elapsed: 2.298 s
% 23.69/5.13  % (10350)Instructions burned: 7686 (million)
% 23.69/5.13  % (10350)------------------------------
% 23.69/5.13  % (10350)------------------------------
% 23.69/5.13  % (10291)Success in time 3.332 s
%------------------------------------------------------------------------------