TSTP Solution File: PHI009+1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : PHI009+1 : TPTP v8.2.0. Released v7.2.0.
% 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 : n003.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 02:18:45 EDT 2024

% Result   : Theorem 0.61s 0.77s
% Output   : Refutation 0.61s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   16
%            Number of leaves      :   14
% Syntax   : Number of formulae    :   69 (   5 unt;   1 typ;   0 def)
%            Number of atoms       :  488 (  28 equ)
%            Maximal formula atoms :   16 (   7 avg)
%            Number of connectives :  478 ( 186   ~; 176   |;  87   &)
%                                         (  10 <=>;  19  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   13 (   7 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of FOOLs       :  128 ( 128 fml;   0 var)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    2 (   1   >;   1   *;   0   +;   0  <<)
%            Number of predicates  :   17 (  15 usr;   7 prp; 0-3 aty)
%            Number of functors    :    0 (   0 usr;   0 con; --- aty)
%            Number of variables   :  153 ( 126   !;  26   ?;  59   :)
%                                         (   1  !>;   0  ?*;   0  @-;   0  @+)

% Comments : 
%------------------------------------------------------------------------------
tff(pred_def_7,type,
    sQ6_eqProxy: 
      !>[X0: $tType] : ( ( X0 * X0 ) > $o ) ).

tff(f114,plain,
    $false,
    inference(avatar_sat_refutation,[],[f57,f78,f98,f109,f113]) ).

tff(f113,plain,
    ~ spl7_1,
    inference(avatar_contradiction_clause,[],[f110]) ).

tff(f110,plain,
    ( $false
    | ~ spl7_1 ),
    inference(resolution,[],[f53,f24]) ).

tff(f24,plain,
    object(sK3),
    inference(cnf_transformation,[],[f15]) ).

tff(f15,plain,
    ( ! [X1] :
        ( ~ is_the(X1,sK2)
        | ~ object(X1) )
    & ! [X3] :
        ( ( sK3 = X3 )
        | ~ exemplifies_property(sK2,X3)
        | ~ object(X3) )
    & exemplifies_property(sK2,sK3)
    & object(sK3)
    & property(sK2) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK2,sK3])],[f12,f14,f13]) ).

tff(f13,plain,
    ( ? [X0] :
        ( ! [X1] :
            ( ~ is_the(X1,X0)
            | ~ object(X1) )
        & ? [X2] :
            ( ! [X3] :
                ( ( X2 = X3 )
                | ~ exemplifies_property(X0,X3)
                | ~ object(X3) )
            & exemplifies_property(X0,X2)
            & object(X2) )
        & property(X0) )
   => ( ! [X1] :
          ( ~ is_the(X1,sK2)
          | ~ object(X1) )
      & ? [X2] :
          ( ! [X3] :
              ( ( X2 = X3 )
              | ~ exemplifies_property(sK2,X3)
              | ~ object(X3) )
          & exemplifies_property(sK2,X2)
          & object(X2) )
      & property(sK2) ) ),
    introduced(choice_axiom,[]) ).

tff(f14,plain,
    ( ? [X2] :
        ( ! [X3] :
            ( ( X2 = X3 )
            | ~ exemplifies_property(sK2,X3)
            | ~ object(X3) )
        & exemplifies_property(sK2,X2)
        & object(X2) )
   => ( ! [X3] :
          ( ( sK3 = X3 )
          | ~ exemplifies_property(sK2,X3)
          | ~ object(X3) )
      & exemplifies_property(sK2,sK3)
      & object(sK3) ) ),
    introduced(choice_axiom,[]) ).

tff(f12,plain,
    ? [X0] :
      ( ! [X1] :
          ( ~ is_the(X1,X0)
          | ~ object(X1) )
      & ? [X2] :
          ( ! [X3] :
              ( ( X2 = X3 )
              | ~ exemplifies_property(X0,X3)
              | ~ object(X3) )
          & exemplifies_property(X0,X2)
          & object(X2) )
      & property(X0) ),
    inference(rectify,[],[f6]) ).

tff(f6,plain,
    ? [X0] :
      ( ! [X3] :
          ( ~ is_the(X3,X0)
          | ~ object(X3) )
      & ? [X1] :
          ( ! [X2] :
              ( ( X1 = X2 )
              | ~ exemplifies_property(X0,X2)
              | ~ object(X2) )
          & exemplifies_property(X0,X1)
          & object(X1) )
      & property(X0) ),
    inference(flattening,[],[f5]) ).

tff(f5,plain,
    ? [X0] :
      ( ! [X3] :
          ( ~ is_the(X3,X0)
          | ~ object(X3) )
      & ? [X1] :
          ( ! [X2] :
              ( ( X1 = X2 )
              | ~ exemplifies_property(X0,X2)
              | ~ object(X2) )
          & exemplifies_property(X0,X1)
          & object(X1) )
      & property(X0) ),
    inference(ennf_transformation,[],[f4]) ).

tff(f4,plain,
    ~ ! [X0] :
        ( property(X0)
       => ( ? [X1] :
              ( ! [X2] :
                  ( object(X2)
                 => ( exemplifies_property(X0,X2)
                   => ( X1 = X2 ) ) )
              & exemplifies_property(X0,X1)
              & object(X1) )
         => ? [X3] :
              ( is_the(X3,X0)
              & object(X3) ) ) ),
    inference(rectify,[],[f3]) ).

tff(f3,negated_conjecture,
    ~ ! [X0] :
        ( property(X0)
       => ( ? [X3] :
              ( ! [X4] :
                  ( object(X4)
                 => ( exemplifies_property(X0,X4)
                   => ( X3 = X4 ) ) )
              & exemplifies_property(X0,X3)
              & object(X3) )
         => ? [X5] :
              ( is_the(X5,X0)
              & object(X5) ) ) ),
    inference(negated_conjecture,[],[f2]) ).

tff(f2,conjecture,
    ! [X0] :
      ( property(X0)
     => ( ? [X3] :
            ( ! [X4] :
                ( object(X4)
               => ( exemplifies_property(X0,X4)
                 => ( X3 = X4 ) ) )
            & exemplifies_property(X0,X3)
            & object(X3) )
       => ? [X5] :
            ( is_the(X5,X0)
            & object(X5) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',description_theorem_1) ).

tff(f53,plain,
    ( ! [X1: $i] : ~ object(X1)
    | ~ spl7_1 ),
    inference(avatar_component_clause,[],[f52]) ).

tff(f52,plain,
    ( spl7_1
  <=> ! [X1] : ~ object(X1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl7_1])]) ).

tff(f109,plain,
    ( ~ spl7_2
    | ~ spl7_3 ),
    inference(avatar_contradiction_clause,[],[f108]) ).

tff(f108,plain,
    ( $false
    | ~ spl7_2
    | ~ spl7_3 ),
    inference(subsumption_resolution,[],[f107,f25]) ).

tff(f25,plain,
    exemplifies_property(sK2,sK3),
    inference(cnf_transformation,[],[f15]) ).

tff(f107,plain,
    ( ~ exemplifies_property(sK2,sK3)
    | ~ spl7_2
    | ~ spl7_3 ),
    inference(resolution,[],[f102,f23]) ).

tff(f23,plain,
    property(sK2),
    inference(cnf_transformation,[],[f15]) ).

tff(f102,plain,
    ( ! [X0: $i] :
        ( ~ property(X0)
        | ~ exemplifies_property(X0,sK3) )
    | ~ spl7_2
    | ~ spl7_3 ),
    inference(resolution,[],[f73,f56]) ).

tff(f56,plain,
    ( ! [X0: $i] :
        ( ~ sP0(X0,sK2)
        | ~ property(X0) )
    | ~ spl7_2 ),
    inference(avatar_component_clause,[],[f55]) ).

tff(f55,plain,
    ( spl7_2
  <=> ! [X0] :
        ( ~ property(X0)
        | ~ sP0(X0,sK2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl7_2])]) ).

tff(f73,plain,
    ( ! [X1: $i] :
        ( sP0(X1,sK2)
        | ~ exemplifies_property(X1,sK3) )
    | ~ spl7_3 ),
    inference(avatar_component_clause,[],[f72]) ).

tff(f72,plain,
    ( spl7_3
  <=> ! [X1] :
        ( ~ exemplifies_property(X1,sK3)
        | sP0(X1,sK2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl7_3])]) ).

tff(f98,plain,
    ( spl7_3
    | spl7_4 ),
    inference(avatar_split_clause,[],[f97,f75,f72]) ).

tff(f75,plain,
    ( spl7_4
  <=> object(sK4(sK2,sK3)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl7_4])]) ).

tff(f97,plain,
    ( ! [X0: $i] :
        ( ~ exemplifies_property(X0,sK3)
        | sP0(X0,sK2) )
    | spl7_4 ),
    inference(subsumption_resolution,[],[f96,f24]) ).

tff(f96,plain,
    ( ! [X0: $i] :
        ( ~ exemplifies_property(X0,sK3)
        | sP0(X0,sK2)
        | ~ object(sK3) )
    | spl7_4 ),
    inference(subsumption_resolution,[],[f95,f25]) ).

tff(f95,plain,
    ( ! [X0: $i] :
        ( ~ exemplifies_property(X0,sK3)
        | sP0(X0,sK2)
        | ~ exemplifies_property(sK2,sK3)
        | ~ object(sK3) )
    | spl7_4 ),
    inference(resolution,[],[f77,f35]) ).

tff(f35,plain,
    ! [X2: $i,X0: $i,X1: $i] :
      ( object(sK4(X1,X2))
      | ~ exemplifies_property(X0,X2)
      | sP0(X0,X1)
      | ~ exemplifies_property(X1,X2)
      | ~ object(X2) ),
    inference(cnf_transformation,[],[f22]) ).

tff(f22,plain,
    ! [X0,X1] :
      ( ( sP0(X0,X1)
        | ! [X2] :
            ( ~ exemplifies_property(X0,X2)
            | ( ( sK4(X1,X2) != X2 )
              & exemplifies_property(X1,sK4(X1,X2))
              & object(sK4(X1,X2)) )
            | ~ exemplifies_property(X1,X2)
            | ~ object(X2) ) )
      & ( ( exemplifies_property(X0,sK5(X0,X1))
          & ! [X5] :
              ( ( sK5(X0,X1) = X5 )
              | ~ exemplifies_property(X1,X5)
              | ~ object(X5) )
          & exemplifies_property(X1,sK5(X0,X1))
          & object(sK5(X0,X1)) )
        | ~ sP0(X0,X1) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK4,sK5])],[f19,f21,f20]) ).

tff(f20,plain,
    ! [X1,X2] :
      ( ? [X3] :
          ( ( X2 != X3 )
          & exemplifies_property(X1,X3)
          & object(X3) )
     => ( ( sK4(X1,X2) != X2 )
        & exemplifies_property(X1,sK4(X1,X2))
        & object(sK4(X1,X2)) ) ),
    introduced(choice_axiom,[]) ).

tff(f21,plain,
    ! [X0,X1] :
      ( ? [X4] :
          ( exemplifies_property(X0,X4)
          & ! [X5] :
              ( ( X4 = X5 )
              | ~ exemplifies_property(X1,X5)
              | ~ object(X5) )
          & exemplifies_property(X1,X4)
          & object(X4) )
     => ( exemplifies_property(X0,sK5(X0,X1))
        & ! [X5] :
            ( ( sK5(X0,X1) = X5 )
            | ~ exemplifies_property(X1,X5)
            | ~ object(X5) )
        & exemplifies_property(X1,sK5(X0,X1))
        & object(sK5(X0,X1)) ) ),
    introduced(choice_axiom,[]) ).

tff(f19,plain,
    ! [X0,X1] :
      ( ( sP0(X0,X1)
        | ! [X2] :
            ( ~ exemplifies_property(X0,X2)
            | ? [X3] :
                ( ( X2 != X3 )
                & exemplifies_property(X1,X3)
                & object(X3) )
            | ~ exemplifies_property(X1,X2)
            | ~ object(X2) ) )
      & ( ? [X4] :
            ( exemplifies_property(X0,X4)
            & ! [X5] :
                ( ( X4 = X5 )
                | ~ exemplifies_property(X1,X5)
                | ~ object(X5) )
            & exemplifies_property(X1,X4)
            & object(X4) )
        | ~ sP0(X0,X1) ) ),
    inference(rectify,[],[f18]) ).

tff(f18,plain,
    ! [X1,X0] :
      ( ( sP0(X1,X0)
        | ! [X3] :
            ( ~ exemplifies_property(X1,X3)
            | ? [X4] :
                ( ( X3 != X4 )
                & exemplifies_property(X0,X4)
                & object(X4) )
            | ~ exemplifies_property(X0,X3)
            | ~ object(X3) ) )
      & ( ? [X3] :
            ( exemplifies_property(X1,X3)
            & ! [X4] :
                ( ( X3 = X4 )
                | ~ exemplifies_property(X0,X4)
                | ~ object(X4) )
            & exemplifies_property(X0,X3)
            & object(X3) )
        | ~ sP0(X1,X0) ) ),
    inference(nnf_transformation,[],[f9]) ).

tff(f9,plain,
    ! [X1,X0] :
      ( sP0(X1,X0)
    <=> ? [X3] :
          ( exemplifies_property(X1,X3)
          & ! [X4] :
              ( ( X3 = X4 )
              | ~ exemplifies_property(X0,X4)
              | ~ object(X4) )
          & exemplifies_property(X0,X3)
          & object(X3) ) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).

tff(f77,plain,
    ( ~ object(sK4(sK2,sK3))
    | spl7_4 ),
    inference(avatar_component_clause,[],[f75]) ).

tff(f78,plain,
    ( spl7_3
    | ~ spl7_4
    | spl7_3 ),
    inference(avatar_split_clause,[],[f70,f72,f75,f72]) ).

tff(f70,plain,
    ! [X0: $i,X1: $i] :
      ( ~ exemplifies_property(X0,sK3)
      | sP0(X0,sK2)
      | ~ object(sK4(sK2,sK3))
      | ~ exemplifies_property(X1,sK3)
      | sP0(X1,sK2) ),
    inference(subsumption_resolution,[],[f69,f24]) ).

tff(f69,plain,
    ! [X0: $i,X1: $i] :
      ( ~ exemplifies_property(X0,sK3)
      | sP0(X0,sK2)
      | ~ object(sK4(sK2,sK3))
      | ~ exemplifies_property(X1,sK3)
      | sP0(X1,sK2)
      | ~ object(sK3) ),
    inference(subsumption_resolution,[],[f68,f25]) ).

tff(f68,plain,
    ! [X0: $i,X1: $i] :
      ( ~ exemplifies_property(X0,sK3)
      | ~ exemplifies_property(sK2,sK3)
      | sP0(X0,sK2)
      | ~ object(sK4(sK2,sK3))
      | ~ exemplifies_property(X1,sK3)
      | sP0(X1,sK2)
      | ~ object(sK3) ),
    inference(duplicate_literal_removal,[],[f65]) ).

tff(f65,plain,
    ! [X0: $i,X1: $i] :
      ( ~ exemplifies_property(X0,sK3)
      | ~ exemplifies_property(sK2,sK3)
      | sP0(X0,sK2)
      | ~ object(sK4(sK2,sK3))
      | ~ exemplifies_property(X1,sK3)
      | sP0(X1,sK2)
      | ~ exemplifies_property(sK2,sK3)
      | ~ object(sK3) ),
    inference(resolution,[],[f62,f36]) ).

tff(f36,plain,
    ! [X2: $i,X0: $i,X1: $i] :
      ( exemplifies_property(X1,sK4(X1,X2))
      | ~ exemplifies_property(X0,X2)
      | sP0(X0,X1)
      | ~ exemplifies_property(X1,X2)
      | ~ object(X2) ),
    inference(cnf_transformation,[],[f22]) ).

tff(f62,plain,
    ! [X0: $i,X1: $i] :
      ( ~ exemplifies_property(sK2,sK4(X1,sK3))
      | ~ exemplifies_property(X0,sK3)
      | ~ exemplifies_property(X1,sK3)
      | sP0(X0,X1)
      | ~ object(sK4(X1,sK3)) ),
    inference(subsumption_resolution,[],[f59,f24]) ).

tff(f59,plain,
    ! [X0: $i,X1: $i] :
      ( sP0(X0,X1)
      | ~ exemplifies_property(X0,sK3)
      | ~ exemplifies_property(X1,sK3)
      | ~ object(sK3)
      | ~ exemplifies_property(sK2,sK4(X1,sK3))
      | ~ object(sK4(X1,sK3)) ),
    inference(resolution,[],[f58,f40]) ).

tff(f40,plain,
    ! [X3: $i] :
      ( sQ6_eqProxy($i,sK3,X3)
      | ~ exemplifies_property(sK2,X3)
      | ~ object(X3) ),
    inference(equality_proxy_replacement,[],[f26,f39]) ).

tff(f39,plain,
    ! [X0: $tType,X2: X0,X1: X0] :
      ( sQ6_eqProxy(X0,X1,X2)
    <=> ( X1 = X2 ) ),
    introduced(equality_proxy_definition,[new_symbols(naming,[sQ6_eqProxy])]) ).

tff(f26,plain,
    ! [X3: $i] :
      ( ( sK3 = X3 )
      | ~ exemplifies_property(sK2,X3)
      | ~ object(X3) ),
    inference(cnf_transformation,[],[f15]) ).

tff(f58,plain,
    ! [X2: $i,X0: $i,X1: $i] :
      ( ~ sQ6_eqProxy($i,X2,sK4(X1,X2))
      | sP0(X0,X1)
      | ~ exemplifies_property(X0,X2)
      | ~ exemplifies_property(X1,X2)
      | ~ object(X2) ),
    inference(forward_literal_rewriting,[],[f41,f44]) ).

tff(f44,plain,
    ! [X0: $tType,X2: X0,X1: X0] :
      ( sQ6_eqProxy(X0,X2,X1)
      | ~ sQ6_eqProxy(X0,X1,X2) ),
    inference(equality_proxy_axiom,[],[f39]) ).

tff(f41,plain,
    ! [X2: $i,X0: $i,X1: $i] :
      ( sP0(X0,X1)
      | ~ exemplifies_property(X0,X2)
      | ~ sQ6_eqProxy($i,sK4(X1,X2),X2)
      | ~ exemplifies_property(X1,X2)
      | ~ object(X2) ),
    inference(equality_proxy_replacement,[],[f37,f39]) ).

tff(f37,plain,
    ! [X2: $i,X0: $i,X1: $i] :
      ( sP0(X0,X1)
      | ~ exemplifies_property(X0,X2)
      | ( sK4(X1,X2) != X2 )
      | ~ exemplifies_property(X1,X2)
      | ~ object(X2) ),
    inference(cnf_transformation,[],[f22]) ).

tff(f57,plain,
    ( spl7_1
    | spl7_2 ),
    inference(avatar_split_clause,[],[f50,f55,f52]) ).

tff(f50,plain,
    ! [X0: $i,X1: $i] :
      ( ~ property(X0)
      | ~ sP0(X0,sK2)
      | ~ object(X1) ),
    inference(subsumption_resolution,[],[f49,f23]) ).

tff(f49,plain,
    ! [X0: $i,X1: $i] :
      ( ~ property(X0)
      | ~ property(sK2)
      | ~ sP0(X0,sK2)
      | ~ object(X1) ),
    inference(duplicate_literal_removal,[],[f48]) ).

tff(f48,plain,
    ! [X0: $i,X1: $i] :
      ( ~ property(X0)
      | ~ property(sK2)
      | ~ sP0(X0,sK2)
      | ~ object(X1)
      | ~ object(X1) ),
    inference(resolution,[],[f46,f27]) ).

tff(f27,plain,
    ! [X1: $i] :
      ( ~ is_the(X1,sK2)
      | ~ object(X1) ),
    inference(cnf_transformation,[],[f15]) ).

tff(f46,plain,
    ! [X2: $i,X0: $i,X1: $i] :
      ( is_the(X0,X2)
      | ~ property(X1)
      | ~ property(X2)
      | ~ sP0(X1,X2)
      | ~ object(X0) ),
    inference(resolution,[],[f38,f29]) ).

tff(f29,plain,
    ! [X2: $i,X0: $i,X1: $i] :
      ( ~ sP1(X0,X1,X2)
      | ~ sP0(X1,X0)
      | is_the(X2,X0) ),
    inference(cnf_transformation,[],[f17]) ).

tff(f17,plain,
    ! [X0,X1,X2] :
      ( ( ( ( exemplifies_property(X1,X2)
            & is_the(X2,X0) )
          | ~ sP0(X1,X0) )
        & ( sP0(X1,X0)
          | ~ exemplifies_property(X1,X2)
          | ~ is_the(X2,X0) ) )
      | ~ sP1(X0,X1,X2) ),
    inference(flattening,[],[f16]) ).

tff(f16,plain,
    ! [X0,X1,X2] :
      ( ( ( ( exemplifies_property(X1,X2)
            & is_the(X2,X0) )
          | ~ sP0(X1,X0) )
        & ( sP0(X1,X0)
          | ~ exemplifies_property(X1,X2)
          | ~ is_the(X2,X0) ) )
      | ~ sP1(X0,X1,X2) ),
    inference(nnf_transformation,[],[f10]) ).

tff(f10,plain,
    ! [X0,X1,X2] :
      ( ( ( exemplifies_property(X1,X2)
          & is_the(X2,X0) )
      <=> sP0(X1,X0) )
      | ~ sP1(X0,X1,X2) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).

tff(f38,plain,
    ! [X2: $i,X0: $i,X1: $i] :
      ( sP1(X0,X1,X2)
      | ~ object(X2)
      | ~ property(X1)
      | ~ property(X0) ),
    inference(cnf_transformation,[],[f11]) ).

tff(f11,plain,
    ! [X0,X1,X2] :
      ( sP1(X0,X1,X2)
      | ~ object(X2)
      | ~ property(X1)
      | ~ property(X0) ),
    inference(definition_folding,[],[f8,f10,f9]) ).

tff(f8,plain,
    ! [X0,X1,X2] :
      ( ( ( exemplifies_property(X1,X2)
          & is_the(X2,X0) )
      <=> ? [X3] :
            ( exemplifies_property(X1,X3)
            & ! [X4] :
                ( ( X3 = X4 )
                | ~ exemplifies_property(X0,X4)
                | ~ object(X4) )
            & exemplifies_property(X0,X3)
            & object(X3) ) )
      | ~ object(X2)
      | ~ property(X1)
      | ~ property(X0) ),
    inference(flattening,[],[f7]) ).

tff(f7,plain,
    ! [X0,X1,X2] :
      ( ( ( exemplifies_property(X1,X2)
          & is_the(X2,X0) )
      <=> ? [X3] :
            ( exemplifies_property(X1,X3)
            & ! [X4] :
                ( ( X3 = X4 )
                | ~ exemplifies_property(X0,X4)
                | ~ object(X4) )
            & exemplifies_property(X0,X3)
            & object(X3) ) )
      | ~ object(X2)
      | ~ property(X1)
      | ~ property(X0) ),
    inference(ennf_transformation,[],[f1]) ).

tff(f1,axiom,
    ! [X0,X1,X2] :
      ( ( object(X2)
        & property(X1)
        & property(X0) )
     => ( ( exemplifies_property(X1,X2)
          & is_the(X2,X0) )
      <=> ? [X3] :
            ( exemplifies_property(X1,X3)
            & ! [X4] :
                ( object(X4)
               => ( exemplifies_property(X0,X4)
                 => ( X3 = X4 ) ) )
            & exemplifies_property(X0,X3)
            & object(X3) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',description_axiom_schema_instance) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.14  % Problem    : PHI009+1 : TPTP v8.2.0. Released v7.2.0.
% 0.08/0.15  % 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
% 0.16/0.37  % Computer : n003.cluster.edu
% 0.16/0.37  % Model    : x86_64 x86_64
% 0.16/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.37  % Memory   : 8042.1875MB
% 0.16/0.37  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.16/0.37  % CPULimit   : 300
% 0.16/0.37  % WCLimit    : 300
% 0.16/0.37  % DateTime   : Sat May 18 14:47:08 EDT 2024
% 0.16/0.37  % CPUTime    : 
% 0.16/0.37  This is a FOF_THM_RFO_SEQ problem
% 0.16/0.37  Running 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 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.61/0.76  % (30663)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on theBenchmark for (2996ds/45Mi)
% 0.61/0.76  % (30658)dis-1011_2:1_sil=2000:lsd=20:nwc=5.0:flr=on:mep=off:st=3.0:i=34:sd=1:ep=RS:ss=axioms_0 on theBenchmark for (2996ds/34Mi)
% 0.61/0.76  % (30664)lrs+21_1:5_sil=2000:sos=on:urr=on:newcnf=on:slsq=on:i=83:slsql=off:bd=off:nm=2:ss=axioms:st=1.5:sp=const_min:gsp=on:rawr=on_0 on theBenchmark for (2996ds/83Mi)
% 0.61/0.76  % (30660)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on theBenchmark for (2996ds/78Mi)
% 0.61/0.76  % (30659)lrs+1011_461:32768_sil=16000:irw=on:sp=frequency:lsd=20:fd=preordered:nwc=10.0:s2agt=32:alpa=false:cond=fast:s2a=on:i=51:s2at=3.0:awrs=decay:awrsf=691:bd=off:nm=20:fsr=off:amm=sco:uhcvi=on:rawr=on_0 on theBenchmark for (2996ds/51Mi)
% 0.61/0.77  % (30664)Also succeeded, but the first one will report.
% 0.61/0.77  % (30658)First to succeed.
% 0.61/0.77  % (30660)Also succeeded, but the first one will report.
% 0.61/0.77  % (30661)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on theBenchmark for (2996ds/33Mi)
% 0.61/0.77  % (30658)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-30657"
% 0.61/0.77  % (30665)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on theBenchmark for (2996ds/56Mi)
% 0.61/0.77  % (30658)Refutation found. Thanks to Tanya!
% 0.61/0.77  % SZS status Theorem for theBenchmark
% 0.61/0.77  % SZS output start Proof for theBenchmark
% See solution above
% 0.61/0.77  % (30658)------------------------------
% 0.61/0.77  % (30658)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.77  % (30658)Termination reason: Refutation
% 0.61/0.77  
% 0.61/0.77  % (30658)Memory used [KB]: 1071
% 0.61/0.77  % (30658)Time elapsed: 0.006 s
% 0.61/0.77  % (30658)Instructions burned: 7 (million)
% 0.61/0.77  % (30657)Success in time 0.391 s
% 0.61/0.77  % Vampire---4.8 exiting
%------------------------------------------------------------------------------