TSTP Solution File: SET796+4 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SET796+4 : TPTP v8.1.2. Bugfixed 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/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s

% Computer : n012.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 : Sun May  5 09:08:31 EDT 2024

% Result   : Theorem 0.58s 0.75s
% Output   : Refutation 0.58s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   17
%            Number of leaves      :   11
% Syntax   : Number of formulae    :   74 (   7 unt;   0 def)
%            Number of atoms       :  312 (  26 equ)
%            Maximal formula atoms :   14 (   4 avg)
%            Number of connectives :  356 ( 118   ~; 113   |;  85   &)
%                                         (  12 <=>;  28  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   14 (   6 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :   10 (   8 usr;   4 prp; 0-4 aty)
%            Number of functors    :    7 (   7 usr;   4 con; 0-4 aty)
%            Number of variables   :  178 ( 160   !;  18   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f153,plain,
    $false,
    inference(avatar_sat_refutation,[],[f103,f108,f134,f152]) ).

fof(f152,plain,
    ( spl6_1
    | ~ spl6_4 ),
    inference(avatar_contradiction_clause,[],[f151]) ).

fof(f151,plain,
    ( $false
    | spl6_1
    | ~ spl6_4 ),
    inference(subsumption_resolution,[],[f150,f54]) ).

fof(f54,plain,
    member(sK2,sK1),
    inference(cnf_transformation,[],[f43]) ).

fof(f43,plain,
    ( ~ greatest_lower_bound(sK2,unordered_pair(sK2,sK3),sK0,sK1)
    & apply(sK0,sK2,sK3)
    & member(sK3,sK1)
    & member(sK2,sK1)
    & order(sK0,sK1) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3])],[f36,f42]) ).

fof(f42,plain,
    ( ? [X0,X1,X2,X3] :
        ( ~ greatest_lower_bound(X2,unordered_pair(X2,X3),X0,X1)
        & apply(X0,X2,X3)
        & member(X3,X1)
        & member(X2,X1)
        & order(X0,X1) )
   => ( ~ greatest_lower_bound(sK2,unordered_pair(sK2,sK3),sK0,sK1)
      & apply(sK0,sK2,sK3)
      & member(sK3,sK1)
      & member(sK2,sK1)
      & order(sK0,sK1) ) ),
    introduced(choice_axiom,[]) ).

fof(f36,plain,
    ? [X0,X1,X2,X3] :
      ( ~ greatest_lower_bound(X2,unordered_pair(X2,X3),X0,X1)
      & apply(X0,X2,X3)
      & member(X3,X1)
      & member(X2,X1)
      & order(X0,X1) ),
    inference(flattening,[],[f35]) ).

fof(f35,plain,
    ? [X0,X1,X2,X3] :
      ( ~ greatest_lower_bound(X2,unordered_pair(X2,X3),X0,X1)
      & apply(X0,X2,X3)
      & member(X3,X1)
      & member(X2,X1)
      & order(X0,X1) ),
    inference(ennf_transformation,[],[f24]) ).

fof(f24,plain,
    ~ ! [X0,X1,X2,X3] :
        ( ( apply(X0,X2,X3)
          & member(X3,X1)
          & member(X2,X1)
          & order(X0,X1) )
       => greatest_lower_bound(X2,unordered_pair(X2,X3),X0,X1) ),
    inference(rectify,[],[f23]) ).

fof(f23,negated_conjecture,
    ~ ! [X5,X3,X0,X1] :
        ( ( apply(X5,X0,X1)
          & member(X1,X3)
          & member(X0,X3)
          & order(X5,X3) )
       => greatest_lower_bound(X0,unordered_pair(X0,X1),X5,X3) ),
    inference(negated_conjecture,[],[f22]) ).

fof(f22,conjecture,
    ! [X5,X3,X0,X1] :
      ( ( apply(X5,X0,X1)
        & member(X1,X3)
        & member(X0,X3)
        & order(X5,X3) )
     => greatest_lower_bound(X0,unordered_pair(X0,X1),X5,X3) ),
    file('/export/starexec/sandbox/tmp/tmp.UHhwBzs7ej/Vampire---4.8_2068',thIV8) ).

fof(f150,plain,
    ( ~ member(sK2,sK1)
    | spl6_1
    | ~ spl6_4 ),
    inference(resolution,[],[f146,f53]) ).

fof(f53,plain,
    order(sK0,sK1),
    inference(cnf_transformation,[],[f43]) ).

fof(f146,plain,
    ( ! [X0] :
        ( ~ order(sK0,X0)
        | ~ member(sK2,X0) )
    | spl6_1
    | ~ spl6_4 ),
    inference(resolution,[],[f143,f58]) ).

fof(f58,plain,
    ! [X0,X1,X7] :
      ( apply(X0,X7,X7)
      | ~ member(X7,X1)
      | ~ order(X0,X1) ),
    inference(cnf_transformation,[],[f38]) ).

fof(f38,plain,
    ! [X0,X1] :
      ( ( ! [X2,X3,X4] :
            ( apply(X0,X2,X4)
            | ~ apply(X0,X3,X4)
            | ~ apply(X0,X2,X3)
            | ~ member(X4,X1)
            | ~ member(X3,X1)
            | ~ member(X2,X1) )
        & ! [X5,X6] :
            ( X5 = X6
            | ~ apply(X0,X6,X5)
            | ~ apply(X0,X5,X6)
            | ~ member(X6,X1)
            | ~ member(X5,X1) )
        & ! [X7] :
            ( apply(X0,X7,X7)
            | ~ member(X7,X1) ) )
      | ~ order(X0,X1) ),
    inference(flattening,[],[f37]) ).

fof(f37,plain,
    ! [X0,X1] :
      ( ( ! [X2,X3,X4] :
            ( apply(X0,X2,X4)
            | ~ apply(X0,X3,X4)
            | ~ apply(X0,X2,X3)
            | ~ member(X4,X1)
            | ~ member(X3,X1)
            | ~ member(X2,X1) )
        & ! [X5,X6] :
            ( X5 = X6
            | ~ apply(X0,X6,X5)
            | ~ apply(X0,X5,X6)
            | ~ member(X6,X1)
            | ~ member(X5,X1) )
        & ! [X7] :
            ( apply(X0,X7,X7)
            | ~ member(X7,X1) ) )
      | ~ order(X0,X1) ),
    inference(ennf_transformation,[],[f34]) ).

fof(f34,plain,
    ! [X0,X1] :
      ( order(X0,X1)
     => ( ! [X2,X3,X4] :
            ( ( member(X4,X1)
              & member(X3,X1)
              & member(X2,X1) )
           => ( ( apply(X0,X3,X4)
                & apply(X0,X2,X3) )
             => apply(X0,X2,X4) ) )
        & ! [X5,X6] :
            ( ( member(X6,X1)
              & member(X5,X1) )
           => ( ( apply(X0,X6,X5)
                & apply(X0,X5,X6) )
             => X5 = X6 ) )
        & ! [X7] :
            ( member(X7,X1)
           => apply(X0,X7,X7) ) ) ),
    inference(unused_predicate_definition_removal,[],[f26]) ).

fof(f26,plain,
    ! [X0,X1] :
      ( order(X0,X1)
    <=> ( ! [X2,X3,X4] :
            ( ( member(X4,X1)
              & member(X3,X1)
              & member(X2,X1) )
           => ( ( apply(X0,X3,X4)
                & apply(X0,X2,X3) )
             => apply(X0,X2,X4) ) )
        & ! [X5,X6] :
            ( ( member(X6,X1)
              & member(X5,X1) )
           => ( ( apply(X0,X6,X5)
                & apply(X0,X5,X6) )
             => X5 = X6 ) )
        & ! [X7] :
            ( member(X7,X1)
           => apply(X0,X7,X7) ) ) ),
    inference(rectify,[],[f12]) ).

fof(f12,axiom,
    ! [X5,X3] :
      ( order(X5,X3)
    <=> ( ! [X2,X4,X6] :
            ( ( member(X6,X3)
              & member(X4,X3)
              & member(X2,X3) )
           => ( ( apply(X5,X4,X6)
                & apply(X5,X2,X4) )
             => apply(X5,X2,X6) ) )
        & ! [X2,X4] :
            ( ( member(X4,X3)
              & member(X2,X3) )
           => ( ( apply(X5,X4,X2)
                & apply(X5,X2,X4) )
             => X2 = X4 ) )
        & ! [X2] :
            ( member(X2,X3)
           => apply(X5,X2,X2) ) ) ),
    file('/export/starexec/sandbox/tmp/tmp.UHhwBzs7ej/Vampire---4.8_2068',order) ).

fof(f143,plain,
    ( ~ apply(sK0,sK2,sK2)
    | spl6_1
    | ~ spl6_4 ),
    inference(forward_demodulation,[],[f141,f102]) ).

fof(f102,plain,
    ( sK2 = sK5(sK0,unordered_pair(sK2,sK3),sK2)
    | ~ spl6_4 ),
    inference(avatar_component_clause,[],[f100]) ).

fof(f100,plain,
    ( spl6_4
  <=> sK2 = sK5(sK0,unordered_pair(sK2,sK3),sK2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_4])]) ).

fof(f141,plain,
    ( ~ apply(sK0,sK2,sK5(sK0,unordered_pair(sK2,sK3),sK2))
    | spl6_1 ),
    inference(resolution,[],[f83,f71]) ).

fof(f71,plain,
    ! [X2,X0,X1] :
      ( lower_bound(X2,X0,X1)
      | ~ apply(X0,X2,sK5(X0,X1,X2)) ),
    inference(cnf_transformation,[],[f52]) ).

fof(f52,plain,
    ! [X0,X1,X2] :
      ( ( lower_bound(X2,X0,X1)
        | ( ~ apply(X0,X2,sK5(X0,X1,X2))
          & member(sK5(X0,X1,X2),X1) ) )
      & ( ! [X4] :
            ( apply(X0,X2,X4)
            | ~ member(X4,X1) )
        | ~ lower_bound(X2,X0,X1) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK5])],[f50,f51]) ).

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

fof(f50,plain,
    ! [X0,X1,X2] :
      ( ( lower_bound(X2,X0,X1)
        | ? [X3] :
            ( ~ apply(X0,X2,X3)
            & member(X3,X1) ) )
      & ( ! [X4] :
            ( apply(X0,X2,X4)
            | ~ member(X4,X1) )
        | ~ lower_bound(X2,X0,X1) ) ),
    inference(rectify,[],[f49]) ).

fof(f49,plain,
    ! [X0,X1,X2] :
      ( ( lower_bound(X2,X0,X1)
        | ? [X3] :
            ( ~ apply(X0,X2,X3)
            & member(X3,X1) ) )
      & ( ! [X3] :
            ( apply(X0,X2,X3)
            | ~ member(X3,X1) )
        | ~ lower_bound(X2,X0,X1) ) ),
    inference(nnf_transformation,[],[f41]) ).

fof(f41,plain,
    ! [X0,X1,X2] :
      ( lower_bound(X2,X0,X1)
    <=> ! [X3] :
          ( apply(X0,X2,X3)
          | ~ member(X3,X1) ) ),
    inference(ennf_transformation,[],[f32]) ).

fof(f32,plain,
    ! [X0,X1,X2] :
      ( lower_bound(X2,X0,X1)
    <=> ! [X3] :
          ( member(X3,X1)
         => apply(X0,X2,X3) ) ),
    inference(rectify,[],[f15]) ).

fof(f15,axiom,
    ! [X5,X3,X7] :
      ( lower_bound(X7,X5,X3)
    <=> ! [X2] :
          ( member(X2,X3)
         => apply(X5,X7,X2) ) ),
    file('/export/starexec/sandbox/tmp/tmp.UHhwBzs7ej/Vampire---4.8_2068',lower_bound) ).

fof(f83,plain,
    ( ~ lower_bound(sK2,sK0,unordered_pair(sK2,sK3))
    | spl6_1 ),
    inference(avatar_component_clause,[],[f81]) ).

fof(f81,plain,
    ( spl6_1
  <=> lower_bound(sK2,sK0,unordered_pair(sK2,sK3)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_1])]) ).

fof(f134,plain,
    ~ spl6_1,
    inference(avatar_contradiction_clause,[],[f133]) ).

fof(f133,plain,
    ( $false
    | ~ spl6_1 ),
    inference(subsumption_resolution,[],[f132,f82]) ).

fof(f82,plain,
    ( lower_bound(sK2,sK0,unordered_pair(sK2,sK3))
    | ~ spl6_1 ),
    inference(avatar_component_clause,[],[f81]) ).

fof(f132,plain,
    ( ~ lower_bound(sK2,sK0,unordered_pair(sK2,sK3))
    | ~ spl6_1 ),
    inference(subsumption_resolution,[],[f131,f57]) ).

fof(f57,plain,
    ~ greatest_lower_bound(sK2,unordered_pair(sK2,sK3),sK0,sK1),
    inference(cnf_transformation,[],[f43]) ).

fof(f131,plain,
    ( greatest_lower_bound(sK2,unordered_pair(sK2,sK3),sK0,sK1)
    | ~ lower_bound(sK2,sK0,unordered_pair(sK2,sK3))
    | ~ spl6_1 ),
    inference(subsumption_resolution,[],[f130,f73]) ).

fof(f73,plain,
    ! [X2,X1] : member(X1,unordered_pair(X1,X2)),
    inference(equality_resolution,[],[f62]) ).

fof(f62,plain,
    ! [X2,X0,X1] :
      ( member(X0,unordered_pair(X1,X2))
      | X0 != X1 ),
    inference(cnf_transformation,[],[f45]) ).

fof(f45,plain,
    ! [X0,X1,X2] :
      ( ( member(X0,unordered_pair(X1,X2))
        | ( X0 != X2
          & X0 != X1 ) )
      & ( X0 = X2
        | X0 = X1
        | ~ member(X0,unordered_pair(X1,X2)) ) ),
    inference(flattening,[],[f44]) ).

fof(f44,plain,
    ! [X0,X1,X2] :
      ( ( member(X0,unordered_pair(X1,X2))
        | ( X0 != X2
          & X0 != X1 ) )
      & ( X0 = X2
        | X0 = X1
        | ~ member(X0,unordered_pair(X1,X2)) ) ),
    inference(nnf_transformation,[],[f27]) ).

fof(f27,plain,
    ! [X0,X1,X2] :
      ( member(X0,unordered_pair(X1,X2))
    <=> ( X0 = X2
        | X0 = X1 ) ),
    inference(rectify,[],[f9]) ).

fof(f9,axiom,
    ! [X2,X0,X1] :
      ( member(X2,unordered_pair(X0,X1))
    <=> ( X1 = X2
        | X0 = X2 ) ),
    file('/export/starexec/sandbox/tmp/tmp.UHhwBzs7ej/Vampire---4.8_2068',unordered_pair) ).

fof(f130,plain,
    ( ~ member(sK2,unordered_pair(sK2,sK3))
    | greatest_lower_bound(sK2,unordered_pair(sK2,sK3),sK0,sK1)
    | ~ lower_bound(sK2,sK0,unordered_pair(sK2,sK3))
    | ~ spl6_1 ),
    inference(duplicate_literal_removal,[],[f127]) ).

fof(f127,plain,
    ( ~ member(sK2,unordered_pair(sK2,sK3))
    | greatest_lower_bound(sK2,unordered_pair(sK2,sK3),sK0,sK1)
    | ~ lower_bound(sK2,sK0,unordered_pair(sK2,sK3))
    | ~ member(sK2,unordered_pair(sK2,sK3))
    | ~ spl6_1 ),
    inference(resolution,[],[f126,f65]) ).

fof(f65,plain,
    ! [X2,X3,X0,X1] :
      ( lower_bound(sK4(X0,X1,X2,X3),X2,X1)
      | greatest_lower_bound(X0,X1,X2,X3)
      | ~ lower_bound(X0,X2,X1)
      | ~ member(X0,X1) ),
    inference(cnf_transformation,[],[f47]) ).

fof(f47,plain,
    ! [X0,X1,X2,X3] :
      ( greatest_lower_bound(X0,X1,X2,X3)
      | ( ~ apply(X2,sK4(X0,X1,X2,X3),X0)
        & lower_bound(sK4(X0,X1,X2,X3),X2,X1)
        & member(sK4(X0,X1,X2,X3),X3) )
      | ~ lower_bound(X0,X2,X1)
      | ~ member(X0,X1) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK4])],[f40,f46]) ).

fof(f46,plain,
    ! [X0,X1,X2,X3] :
      ( ? [X4] :
          ( ~ apply(X2,X4,X0)
          & lower_bound(X4,X2,X1)
          & member(X4,X3) )
     => ( ~ apply(X2,sK4(X0,X1,X2,X3),X0)
        & lower_bound(sK4(X0,X1,X2,X3),X2,X1)
        & member(sK4(X0,X1,X2,X3),X3) ) ),
    introduced(choice_axiom,[]) ).

fof(f40,plain,
    ! [X0,X1,X2,X3] :
      ( greatest_lower_bound(X0,X1,X2,X3)
      | ? [X4] :
          ( ~ apply(X2,X4,X0)
          & lower_bound(X4,X2,X1)
          & member(X4,X3) )
      | ~ lower_bound(X0,X2,X1)
      | ~ member(X0,X1) ),
    inference(flattening,[],[f39]) ).

fof(f39,plain,
    ! [X0,X1,X2,X3] :
      ( greatest_lower_bound(X0,X1,X2,X3)
      | ? [X4] :
          ( ~ apply(X2,X4,X0)
          & lower_bound(X4,X2,X1)
          & member(X4,X3) )
      | ~ lower_bound(X0,X2,X1)
      | ~ member(X0,X1) ),
    inference(ennf_transformation,[],[f33]) ).

fof(f33,plain,
    ! [X0,X1,X2,X3] :
      ( ( ! [X4] :
            ( ( lower_bound(X4,X2,X1)
              & member(X4,X3) )
           => apply(X2,X4,X0) )
        & lower_bound(X0,X2,X1)
        & member(X0,X1) )
     => greatest_lower_bound(X0,X1,X2,X3) ),
    inference(unused_predicate_definition_removal,[],[f28]) ).

fof(f28,plain,
    ! [X0,X1,X2,X3] :
      ( greatest_lower_bound(X0,X1,X2,X3)
    <=> ( ! [X4] :
            ( ( lower_bound(X4,X2,X1)
              & member(X4,X3) )
           => apply(X2,X4,X0) )
        & lower_bound(X0,X2,X1)
        & member(X0,X1) ) ),
    inference(rectify,[],[f21]) ).

fof(f21,axiom,
    ! [X0,X2,X5,X3] :
      ( greatest_lower_bound(X0,X2,X5,X3)
    <=> ( ! [X7] :
            ( ( lower_bound(X7,X5,X2)
              & member(X7,X3) )
           => apply(X5,X7,X0) )
        & lower_bound(X0,X5,X2)
        & member(X0,X2) ) ),
    file('/export/starexec/sandbox/tmp/tmp.UHhwBzs7ej/Vampire---4.8_2068',greatest_lower_bound) ).

fof(f126,plain,
    ( ! [X0] :
        ( ~ lower_bound(sK4(sK2,unordered_pair(sK2,sK3),sK0,sK1),sK0,X0)
        | ~ member(sK2,X0) )
    | ~ spl6_1 ),
    inference(subsumption_resolution,[],[f125,f73]) ).

fof(f125,plain,
    ( ! [X0] :
        ( ~ member(sK2,unordered_pair(sK2,sK3))
        | ~ member(sK2,X0)
        | ~ lower_bound(sK4(sK2,unordered_pair(sK2,sK3),sK0,sK1),sK0,X0) )
    | ~ spl6_1 ),
    inference(subsumption_resolution,[],[f124,f82]) ).

fof(f124,plain,
    ! [X0] :
      ( ~ lower_bound(sK2,sK0,unordered_pair(sK2,sK3))
      | ~ member(sK2,unordered_pair(sK2,sK3))
      | ~ member(sK2,X0)
      | ~ lower_bound(sK4(sK2,unordered_pair(sK2,sK3),sK0,sK1),sK0,X0) ),
    inference(resolution,[],[f93,f57]) ).

fof(f93,plain,
    ! [X2,X3,X0,X1,X4] :
      ( greatest_lower_bound(X0,X1,X2,X3)
      | ~ lower_bound(X0,X2,X1)
      | ~ member(X0,X1)
      | ~ member(X0,X4)
      | ~ lower_bound(sK4(X0,X1,X2,X3),X2,X4) ),
    inference(resolution,[],[f66,f69]) ).

fof(f69,plain,
    ! [X2,X0,X1,X4] :
      ( apply(X0,X2,X4)
      | ~ member(X4,X1)
      | ~ lower_bound(X2,X0,X1) ),
    inference(cnf_transformation,[],[f52]) ).

fof(f66,plain,
    ! [X2,X3,X0,X1] :
      ( ~ apply(X2,sK4(X0,X1,X2,X3),X0)
      | greatest_lower_bound(X0,X1,X2,X3)
      | ~ lower_bound(X0,X2,X1)
      | ~ member(X0,X1) ),
    inference(cnf_transformation,[],[f47]) ).

fof(f108,plain,
    ( spl6_1
    | ~ spl6_3 ),
    inference(avatar_contradiction_clause,[],[f107]) ).

fof(f107,plain,
    ( $false
    | spl6_1
    | ~ spl6_3 ),
    inference(subsumption_resolution,[],[f106,f56]) ).

fof(f56,plain,
    apply(sK0,sK2,sK3),
    inference(cnf_transformation,[],[f43]) ).

fof(f106,plain,
    ( ~ apply(sK0,sK2,sK3)
    | spl6_1
    | ~ spl6_3 ),
    inference(backward_demodulation,[],[f90,f98]) ).

fof(f98,plain,
    ( sK3 = sK5(sK0,unordered_pair(sK2,sK3),sK2)
    | ~ spl6_3 ),
    inference(avatar_component_clause,[],[f96]) ).

fof(f96,plain,
    ( spl6_3
  <=> sK3 = sK5(sK0,unordered_pair(sK2,sK3),sK2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_3])]) ).

fof(f90,plain,
    ( ~ apply(sK0,sK2,sK5(sK0,unordered_pair(sK2,sK3),sK2))
    | spl6_1 ),
    inference(resolution,[],[f83,f71]) ).

fof(f103,plain,
    ( spl6_3
    | spl6_4
    | spl6_1 ),
    inference(avatar_split_clause,[],[f94,f81,f100,f96]) ).

fof(f94,plain,
    ( sK2 = sK5(sK0,unordered_pair(sK2,sK3),sK2)
    | sK3 = sK5(sK0,unordered_pair(sK2,sK3),sK2)
    | spl6_1 ),
    inference(resolution,[],[f91,f61]) ).

fof(f61,plain,
    ! [X2,X0,X1] :
      ( ~ member(X0,unordered_pair(X1,X2))
      | X0 = X1
      | X0 = X2 ),
    inference(cnf_transformation,[],[f45]) ).

fof(f91,plain,
    ( member(sK5(sK0,unordered_pair(sK2,sK3),sK2),unordered_pair(sK2,sK3))
    | spl6_1 ),
    inference(resolution,[],[f83,f70]) ).

fof(f70,plain,
    ! [X2,X0,X1] :
      ( lower_bound(X2,X0,X1)
      | member(sK5(X0,X1,X2),X1) ),
    inference(cnf_transformation,[],[f52]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.09  % Problem    : SET796+4 : TPTP v8.1.2. Bugfixed v4.0.0.
% 0.05/0.10  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.10/0.30  % Computer : n012.cluster.edu
% 0.10/0.30  % Model    : x86_64 x86_64
% 0.10/0.30  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.30  % Memory   : 8042.1875MB
% 0.10/0.30  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.30  % CPULimit   : 300
% 0.10/0.30  % WCLimit    : 300
% 0.10/0.30  % DateTime   : Fri May  3 17:05:52 EDT 2024
% 0.10/0.30  % CPUTime    : 
% 0.10/0.30  This is a FOF_THM_RFO_SEQ problem
% 0.10/0.30  Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox/tmp/tmp.UHhwBzs7ej/Vampire---4.8_2068
% 0.58/0.74  % (2187)lrs+2_1:1_sil=16000:fde=none:sos=all:nwc=5.0:i=34:ep=RS:s2pl=on:lma=on:afp=100000_0 on Vampire---4 for (2995ds/34Mi)
% 0.58/0.74  % (2183)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 Vampire---4 for (2995ds/34Mi)
% 0.58/0.74  % (2188)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2995ds/45Mi)
% 0.58/0.74  % (2185)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2995ds/78Mi)
% 0.58/0.74  % (2189)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 Vampire---4 for (2995ds/83Mi)
% 0.58/0.74  % (2186)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2995ds/33Mi)
% 0.58/0.74  % (2184)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 Vampire---4 for (2995ds/51Mi)
% 0.58/0.74  % (2190)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on Vampire---4 for (2995ds/56Mi)
% 0.58/0.74  % (2190)Refutation not found, incomplete strategy% (2190)------------------------------
% 0.58/0.74  % (2190)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.58/0.74  % (2190)Termination reason: Refutation not found, incomplete strategy
% 0.58/0.74  
% 0.58/0.74  % (2190)Memory used [KB]: 1065
% 0.58/0.74  % (2190)Time elapsed: 0.003 s
% 0.58/0.74  % (2190)Instructions burned: 3 (million)
% 0.58/0.74  % (2190)------------------------------
% 0.58/0.74  % (2190)------------------------------
% 0.58/0.74  % (2186)Refutation not found, incomplete strategy% (2186)------------------------------
% 0.58/0.74  % (2186)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.58/0.74  % (2186)Termination reason: Refutation not found, incomplete strategy
% 0.58/0.74  
% 0.58/0.74  % (2186)Memory used [KB]: 1069
% 0.58/0.74  % (2186)Time elapsed: 0.004 s
% 0.58/0.74  % (2186)Instructions burned: 5 (million)
% 0.58/0.74  % (2186)------------------------------
% 0.58/0.74  % (2186)------------------------------
% 0.58/0.74  % (2185)First to succeed.
% 0.58/0.75  % (2185)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2182"
% 0.58/0.75  % (2191)lrs+21_1:16_sil=2000:sp=occurrence:urr=on:flr=on:i=55:sd=1:nm=0:ins=3:ss=included:rawr=on:br=off_0 on Vampire---4 for (2995ds/55Mi)
% 0.58/0.75  % (2192)dis+3_25:4_sil=16000:sos=all:erd=off:i=50:s2at=4.0:bd=off:nm=60:sup=off:cond=on:av=off:ins=2:nwc=10.0:etr=on:to=lpo:s2agt=20:fd=off:bsr=unit_only:slsq=on:slsqr=28,19:awrs=converge:awrsf=500:tgt=ground:bs=unit_only_0 on Vampire---4 for (2995ds/50Mi)
% 0.58/0.75  % (2185)Refutation found. Thanks to Tanya!
% 0.58/0.75  % SZS status Theorem for Vampire---4
% 0.58/0.75  % SZS output start Proof for Vampire---4
% See solution above
% 0.58/0.75  % (2185)------------------------------
% 0.58/0.75  % (2185)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.58/0.75  % (2185)Termination reason: Refutation
% 0.58/0.75  
% 0.58/0.75  % (2185)Memory used [KB]: 1098
% 0.58/0.75  % (2185)Time elapsed: 0.007 s
% 0.58/0.75  % (2185)Instructions burned: 10 (million)
% 0.58/0.75  % (2182)Success in time 0.438 s
% 0.58/0.75  % Vampire---4.8 exiting
%------------------------------------------------------------------------------