TSTP Solution File: SET805+4 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SET805+4 : TPTP v8.2.0. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s

% Computer : n002.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 03:13:21 EDT 2024

% Result   : Theorem 0.70s 0.88s
% Output   : Refutation 0.70s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   15
%            Number of leaves      :   12
% Syntax   : Number of formulae    :   90 (   8 unt;   0 def)
%            Number of atoms       :  390 (  16 equ)
%            Maximal formula atoms :   14 (   4 avg)
%            Number of connectives :  459 ( 159   ~; 167   |;  99   &)
%                                         (  10 <=>;  24  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   14 (   6 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :   10 (   8 usr;   3 prp; 0-3 aty)
%            Number of functors    :    9 (   9 usr;   3 con; 0-2 aty)
%            Number of variables   :  185 ( 158   !;  27   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f150,plain,
    $false,
    inference(avatar_sat_refutation,[],[f119,f139,f149]) ).

fof(f149,plain,
    ( ~ spl11_2
    | ~ spl11_3 ),
    inference(avatar_contradiction_clause,[],[f148]) ).

fof(f148,plain,
    ( $false
    | ~ spl11_2
    | ~ spl11_3 ),
    inference(subsumption_resolution,[],[f146,f142]) ).

fof(f142,plain,
    ( member(sK10(sK2,sK4),sK4)
    | ~ spl11_2
    | ~ spl11_3 ),
    inference(unit_resulting_resolution,[],[f52,f81,f85,f70]) ).

fof(f70,plain,
    ! [X0,X1] :
      ( member(sK10(X0,X1),X1)
      | ~ sP0(X0,X1)
      | ~ sP1(X0,X1)
      | order(X0,X1) ),
    inference(cnf_transformation,[],[f49]) ).

fof(f49,plain,
    ! [X0,X1] :
      ( ( order(X0,X1)
        | ~ sP0(X0,X1)
        | ~ sP1(X0,X1)
        | ( ~ apply(X0,sK10(X0,X1),sK10(X0,X1))
          & member(sK10(X0,X1),X1) ) )
      & ( ( sP0(X0,X1)
          & sP1(X0,X1)
          & ! [X3] :
              ( apply(X0,X3,X3)
              | ~ member(X3,X1) ) )
        | ~ order(X0,X1) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK10])],[f47,f48]) ).

fof(f48,plain,
    ! [X0,X1] :
      ( ? [X2] :
          ( ~ apply(X0,X2,X2)
          & member(X2,X1) )
     => ( ~ apply(X0,sK10(X0,X1),sK10(X0,X1))
        & member(sK10(X0,X1),X1) ) ),
    introduced(choice_axiom,[]) ).

fof(f47,plain,
    ! [X0,X1] :
      ( ( order(X0,X1)
        | ~ sP0(X0,X1)
        | ~ sP1(X0,X1)
        | ? [X2] :
            ( ~ apply(X0,X2,X2)
            & member(X2,X1) ) )
      & ( ( sP0(X0,X1)
          & sP1(X0,X1)
          & ! [X3] :
              ( apply(X0,X3,X3)
              | ~ member(X3,X1) ) )
        | ~ order(X0,X1) ) ),
    inference(rectify,[],[f46]) ).

fof(f46,plain,
    ! [X0,X1] :
      ( ( order(X0,X1)
        | ~ sP0(X0,X1)
        | ~ sP1(X0,X1)
        | ? [X7] :
            ( ~ apply(X0,X7,X7)
            & member(X7,X1) ) )
      & ( ( sP0(X0,X1)
          & sP1(X0,X1)
          & ! [X7] :
              ( apply(X0,X7,X7)
              | ~ member(X7,X1) ) )
        | ~ order(X0,X1) ) ),
    inference(flattening,[],[f45]) ).

fof(f45,plain,
    ! [X0,X1] :
      ( ( order(X0,X1)
        | ~ sP0(X0,X1)
        | ~ sP1(X0,X1)
        | ? [X7] :
            ( ~ apply(X0,X7,X7)
            & member(X7,X1) ) )
      & ( ( sP0(X0,X1)
          & sP1(X0,X1)
          & ! [X7] :
              ( apply(X0,X7,X7)
              | ~ member(X7,X1) ) )
        | ~ order(X0,X1) ) ),
    inference(nnf_transformation,[],[f33]) ).

fof(f33,plain,
    ! [X0,X1] :
      ( order(X0,X1)
    <=> ( sP0(X0,X1)
        & sP1(X0,X1)
        & ! [X7] :
            ( apply(X0,X7,X7)
            | ~ member(X7,X1) ) ) ),
    inference(definition_folding,[],[f30,f32,f31]) ).

fof(f31,plain,
    ! [X0,X1] :
      ( sP0(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) ) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).

fof(f32,plain,
    ! [X0,X1] :
      ( sP1(X0,X1)
    <=> ! [X5,X6] :
          ( X5 = X6
          | ~ apply(X0,X6,X5)
          | ~ apply(X0,X5,X6)
          | ~ member(X6,X1)
          | ~ member(X5,X1) ) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).

fof(f30,plain,
    ! [X0,X1] :
      ( order(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) ) ) ),
    inference(flattening,[],[f29]) ).

fof(f29,plain,
    ! [X0,X1] :
      ( order(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) ) ) ),
    inference(ennf_transformation,[],[f25]) ).

fof(f25,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/benchmark/theBenchmark.p',order) ).

fof(f85,plain,
    ( sP1(sK2,sK4)
    | ~ spl11_3 ),
    inference(avatar_component_clause,[],[f84]) ).

fof(f84,plain,
    ( spl11_3
  <=> sP1(sK2,sK4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl11_3])]) ).

fof(f81,plain,
    ( sP0(sK2,sK4)
    | ~ spl11_2 ),
    inference(avatar_component_clause,[],[f80]) ).

fof(f80,plain,
    ( spl11_2
  <=> sP0(sK2,sK4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl11_2])]) ).

fof(f52,plain,
    ~ order(sK2,sK4),
    inference(cnf_transformation,[],[f36]) ).

fof(f36,plain,
    ( ~ order(sK2,sK4)
    & subset(sK4,sK3)
    & order(sK2,sK3) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK2,sK3,sK4])],[f27,f35,f34]) ).

fof(f34,plain,
    ( ? [X0,X1] :
        ( ? [X2] :
            ( ~ order(X0,X2)
            & subset(X2,X1) )
        & order(X0,X1) )
   => ( ? [X2] :
          ( ~ order(sK2,X2)
          & subset(X2,sK3) )
      & order(sK2,sK3) ) ),
    introduced(choice_axiom,[]) ).

fof(f35,plain,
    ( ? [X2] :
        ( ~ order(sK2,X2)
        & subset(X2,sK3) )
   => ( ~ order(sK2,sK4)
      & subset(sK4,sK3) ) ),
    introduced(choice_axiom,[]) ).

fof(f27,plain,
    ? [X0,X1] :
      ( ? [X2] :
          ( ~ order(X0,X2)
          & subset(X2,X1) )
      & order(X0,X1) ),
    inference(ennf_transformation,[],[f24]) ).

fof(f24,plain,
    ~ ! [X0,X1] :
        ( order(X0,X1)
       => ! [X2] :
            ( subset(X2,X1)
           => order(X0,X2) ) ),
    inference(rectify,[],[f23]) ).

fof(f23,negated_conjecture,
    ~ ! [X5,X3] :
        ( order(X5,X3)
       => ! [X2] :
            ( subset(X2,X3)
           => order(X5,X2) ) ),
    inference(negated_conjecture,[],[f22]) ).

fof(f22,conjecture,
    ! [X5,X3] :
      ( order(X5,X3)
     => ! [X2] :
          ( subset(X2,X3)
         => order(X5,X2) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',thIV17) ).

fof(f146,plain,
    ( ~ member(sK10(sK2,sK4),sK4)
    | ~ spl11_2
    | ~ spl11_3 ),
    inference(unit_resulting_resolution,[],[f51,f140,f53]) ).

fof(f53,plain,
    ! [X2,X0,X1] :
      ( member(X2,X1)
      | ~ member(X2,X0)
      | ~ subset(X0,X1) ),
    inference(cnf_transformation,[],[f28]) ).

fof(f28,plain,
    ! [X0,X1] :
      ( ! [X2] :
          ( member(X2,X1)
          | ~ member(X2,X0) )
      | ~ subset(X0,X1) ),
    inference(ennf_transformation,[],[f26]) ).

fof(f26,plain,
    ! [X0,X1] :
      ( subset(X0,X1)
     => ! [X2] :
          ( member(X2,X0)
         => member(X2,X1) ) ),
    inference(unused_predicate_definition_removal,[],[f1]) ).

fof(f1,axiom,
    ! [X0,X1] :
      ( subset(X0,X1)
    <=> ! [X2] :
          ( member(X2,X0)
         => member(X2,X1) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',subset) ).

fof(f140,plain,
    ( ~ member(sK10(sK2,sK4),sK3)
    | ~ spl11_2
    | ~ spl11_3 ),
    inference(unit_resulting_resolution,[],[f50,f52,f81,f85,f74]) ).

fof(f74,plain,
    ! [X2,X0,X1] :
      ( order(X0,X1)
      | ~ sP1(X0,X1)
      | ~ sP0(X0,X1)
      | ~ member(sK10(X0,X1),X2)
      | ~ order(X0,X2) ),
    inference(resolution,[],[f71,f67]) ).

fof(f67,plain,
    ! [X3,X0,X1] :
      ( apply(X0,X3,X3)
      | ~ member(X3,X1)
      | ~ order(X0,X1) ),
    inference(cnf_transformation,[],[f49]) ).

fof(f71,plain,
    ! [X0,X1] :
      ( ~ apply(X0,sK10(X0,X1),sK10(X0,X1))
      | ~ sP0(X0,X1)
      | ~ sP1(X0,X1)
      | order(X0,X1) ),
    inference(cnf_transformation,[],[f49]) ).

fof(f50,plain,
    order(sK2,sK3),
    inference(cnf_transformation,[],[f36]) ).

fof(f51,plain,
    subset(sK4,sK3),
    inference(cnf_transformation,[],[f36]) ).

fof(f139,plain,
    spl11_3,
    inference(avatar_contradiction_clause,[],[f138]) ).

fof(f138,plain,
    ( $false
    | spl11_3 ),
    inference(subsumption_resolution,[],[f134,f124]) ).

fof(f124,plain,
    ( apply(sK2,sK5(sK2,sK4),sK6(sK2,sK4))
    | spl11_3 ),
    inference(unit_resulting_resolution,[],[f86,f57]) ).

fof(f57,plain,
    ! [X0,X1] :
      ( apply(X0,sK5(X0,X1),sK6(X0,X1))
      | sP1(X0,X1) ),
    inference(cnf_transformation,[],[f40]) ).

fof(f40,plain,
    ! [X0,X1] :
      ( ( sP1(X0,X1)
        | ( sK5(X0,X1) != sK6(X0,X1)
          & apply(X0,sK6(X0,X1),sK5(X0,X1))
          & apply(X0,sK5(X0,X1),sK6(X0,X1))
          & member(sK6(X0,X1),X1)
          & member(sK5(X0,X1),X1) ) )
      & ( ! [X4,X5] :
            ( X4 = X5
            | ~ apply(X0,X5,X4)
            | ~ apply(X0,X4,X5)
            | ~ member(X5,X1)
            | ~ member(X4,X1) )
        | ~ sP1(X0,X1) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK5,sK6])],[f38,f39]) ).

fof(f39,plain,
    ! [X0,X1] :
      ( ? [X2,X3] :
          ( X2 != X3
          & apply(X0,X3,X2)
          & apply(X0,X2,X3)
          & member(X3,X1)
          & member(X2,X1) )
     => ( sK5(X0,X1) != sK6(X0,X1)
        & apply(X0,sK6(X0,X1),sK5(X0,X1))
        & apply(X0,sK5(X0,X1),sK6(X0,X1))
        & member(sK6(X0,X1),X1)
        & member(sK5(X0,X1),X1) ) ),
    introduced(choice_axiom,[]) ).

fof(f38,plain,
    ! [X0,X1] :
      ( ( sP1(X0,X1)
        | ? [X2,X3] :
            ( X2 != X3
            & apply(X0,X3,X2)
            & apply(X0,X2,X3)
            & member(X3,X1)
            & member(X2,X1) ) )
      & ( ! [X4,X5] :
            ( X4 = X5
            | ~ apply(X0,X5,X4)
            | ~ apply(X0,X4,X5)
            | ~ member(X5,X1)
            | ~ member(X4,X1) )
        | ~ sP1(X0,X1) ) ),
    inference(rectify,[],[f37]) ).

fof(f37,plain,
    ! [X0,X1] :
      ( ( sP1(X0,X1)
        | ? [X5,X6] :
            ( X5 != X6
            & apply(X0,X6,X5)
            & apply(X0,X5,X6)
            & member(X6,X1)
            & member(X5,X1) ) )
      & ( ! [X5,X6] :
            ( X5 = X6
            | ~ apply(X0,X6,X5)
            | ~ apply(X0,X5,X6)
            | ~ member(X6,X1)
            | ~ member(X5,X1) )
        | ~ sP1(X0,X1) ) ),
    inference(nnf_transformation,[],[f32]) ).

fof(f86,plain,
    ( ~ sP1(sK2,sK4)
    | spl11_3 ),
    inference(avatar_component_clause,[],[f84]) ).

fof(f134,plain,
    ( ~ apply(sK2,sK5(sK2,sK4),sK6(sK2,sK4))
    | spl11_3 ),
    inference(unit_resulting_resolution,[],[f72,f130,f131,f125,f123,f54]) ).

fof(f54,plain,
    ! [X0,X1,X4,X5] :
      ( X4 = X5
      | ~ apply(X0,X5,X4)
      | ~ apply(X0,X4,X5)
      | ~ member(X5,X1)
      | ~ member(X4,X1)
      | ~ sP1(X0,X1) ),
    inference(cnf_transformation,[],[f40]) ).

fof(f123,plain,
    ( apply(sK2,sK6(sK2,sK4),sK5(sK2,sK4))
    | spl11_3 ),
    inference(unit_resulting_resolution,[],[f86,f58]) ).

fof(f58,plain,
    ! [X0,X1] :
      ( apply(X0,sK6(X0,X1),sK5(X0,X1))
      | sP1(X0,X1) ),
    inference(cnf_transformation,[],[f40]) ).

fof(f125,plain,
    ( sK6(sK2,sK4) != sK5(sK2,sK4)
    | spl11_3 ),
    inference(unit_resulting_resolution,[],[f86,f59]) ).

fof(f59,plain,
    ! [X0,X1] :
      ( sK5(X0,X1) != sK6(X0,X1)
      | sP1(X0,X1) ),
    inference(cnf_transformation,[],[f40]) ).

fof(f131,plain,
    ( member(sK5(sK2,sK4),sK3)
    | spl11_3 ),
    inference(unit_resulting_resolution,[],[f51,f127,f53]) ).

fof(f127,plain,
    ( member(sK5(sK2,sK4),sK4)
    | spl11_3 ),
    inference(unit_resulting_resolution,[],[f86,f55]) ).

fof(f55,plain,
    ! [X0,X1] :
      ( member(sK5(X0,X1),X1)
      | sP1(X0,X1) ),
    inference(cnf_transformation,[],[f40]) ).

fof(f130,plain,
    ( member(sK6(sK2,sK4),sK3)
    | spl11_3 ),
    inference(unit_resulting_resolution,[],[f51,f126,f53]) ).

fof(f126,plain,
    ( member(sK6(sK2,sK4),sK4)
    | spl11_3 ),
    inference(unit_resulting_resolution,[],[f86,f56]) ).

fof(f56,plain,
    ! [X0,X1] :
      ( member(sK6(X0,X1),X1)
      | sP1(X0,X1) ),
    inference(cnf_transformation,[],[f40]) ).

fof(f72,plain,
    sP1(sK2,sK3),
    inference(unit_resulting_resolution,[],[f50,f68]) ).

fof(f68,plain,
    ! [X0,X1] :
      ( sP1(X0,X1)
      | ~ order(X0,X1) ),
    inference(cnf_transformation,[],[f49]) ).

fof(f119,plain,
    spl11_2,
    inference(avatar_contradiction_clause,[],[f118]) ).

fof(f118,plain,
    ( $false
    | spl11_2 ),
    inference(subsumption_resolution,[],[f108,f105]) ).

fof(f105,plain,
    ( member(sK9(sK2,sK4),sK3)
    | spl11_2 ),
    inference(unit_resulting_resolution,[],[f51,f90,f53]) ).

fof(f90,plain,
    ( member(sK9(sK2,sK4),sK4)
    | spl11_2 ),
    inference(unit_resulting_resolution,[],[f82,f63]) ).

fof(f63,plain,
    ! [X0,X1] :
      ( member(sK9(X0,X1),X1)
      | sP0(X0,X1) ),
    inference(cnf_transformation,[],[f44]) ).

fof(f44,plain,
    ! [X0,X1] :
      ( ( sP0(X0,X1)
        | ( ~ apply(X0,sK7(X0,X1),sK9(X0,X1))
          & apply(X0,sK8(X0,X1),sK9(X0,X1))
          & apply(X0,sK7(X0,X1),sK8(X0,X1))
          & member(sK9(X0,X1),X1)
          & member(sK8(X0,X1),X1)
          & member(sK7(X0,X1),X1) ) )
      & ( ! [X5,X6,X7] :
            ( apply(X0,X5,X7)
            | ~ apply(X0,X6,X7)
            | ~ apply(X0,X5,X6)
            | ~ member(X7,X1)
            | ~ member(X6,X1)
            | ~ member(X5,X1) )
        | ~ sP0(X0,X1) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK7,sK8,sK9])],[f42,f43]) ).

fof(f43,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) )
     => ( ~ apply(X0,sK7(X0,X1),sK9(X0,X1))
        & apply(X0,sK8(X0,X1),sK9(X0,X1))
        & apply(X0,sK7(X0,X1),sK8(X0,X1))
        & member(sK9(X0,X1),X1)
        & member(sK8(X0,X1),X1)
        & member(sK7(X0,X1),X1) ) ),
    introduced(choice_axiom,[]) ).

fof(f42,plain,
    ! [X0,X1] :
      ( ( sP0(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,X7] :
            ( apply(X0,X5,X7)
            | ~ apply(X0,X6,X7)
            | ~ apply(X0,X5,X6)
            | ~ member(X7,X1)
            | ~ member(X6,X1)
            | ~ member(X5,X1) )
        | ~ sP0(X0,X1) ) ),
    inference(rectify,[],[f41]) ).

fof(f41,plain,
    ! [X0,X1] :
      ( ( sP0(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) ) )
      & ( ! [X2,X3,X4] :
            ( apply(X0,X2,X4)
            | ~ apply(X0,X3,X4)
            | ~ apply(X0,X2,X3)
            | ~ member(X4,X1)
            | ~ member(X3,X1)
            | ~ member(X2,X1) )
        | ~ sP0(X0,X1) ) ),
    inference(nnf_transformation,[],[f31]) ).

fof(f82,plain,
    ( ~ sP0(sK2,sK4)
    | spl11_2 ),
    inference(avatar_component_clause,[],[f80]) ).

fof(f108,plain,
    ( ~ member(sK9(sK2,sK4),sK3)
    | spl11_2 ),
    inference(unit_resulting_resolution,[],[f98,f101,f92,f91,f93,f97]) ).

fof(f97,plain,
    ! [X2,X0,X1] :
      ( apply(sK2,X2,X1)
      | ~ apply(sK2,X2,X0)
      | ~ member(X1,sK3)
      | ~ member(X0,sK3)
      | ~ member(X2,sK3)
      | ~ apply(sK2,X0,X1) ),
    inference(resolution,[],[f60,f73]) ).

fof(f73,plain,
    sP0(sK2,sK3),
    inference(unit_resulting_resolution,[],[f50,f69]) ).

fof(f69,plain,
    ! [X0,X1] :
      ( sP0(X0,X1)
      | ~ order(X0,X1) ),
    inference(cnf_transformation,[],[f49]) ).

fof(f60,plain,
    ! [X0,X1,X6,X7,X5] :
      ( ~ sP0(X0,X1)
      | ~ apply(X0,X6,X7)
      | ~ apply(X0,X5,X6)
      | ~ member(X7,X1)
      | ~ member(X6,X1)
      | ~ member(X5,X1)
      | apply(X0,X5,X7) ),
    inference(cnf_transformation,[],[f44]) ).

fof(f93,plain,
    ( ~ apply(sK2,sK7(sK2,sK4),sK9(sK2,sK4))
    | spl11_2 ),
    inference(unit_resulting_resolution,[],[f82,f66]) ).

fof(f66,plain,
    ! [X0,X1] :
      ( ~ apply(X0,sK7(X0,X1),sK9(X0,X1))
      | sP0(X0,X1) ),
    inference(cnf_transformation,[],[f44]) ).

fof(f91,plain,
    ( apply(sK2,sK7(sK2,sK4),sK8(sK2,sK4))
    | spl11_2 ),
    inference(unit_resulting_resolution,[],[f82,f64]) ).

fof(f64,plain,
    ! [X0,X1] :
      ( apply(X0,sK7(X0,X1),sK8(X0,X1))
      | sP0(X0,X1) ),
    inference(cnf_transformation,[],[f44]) ).

fof(f92,plain,
    ( apply(sK2,sK8(sK2,sK4),sK9(sK2,sK4))
    | spl11_2 ),
    inference(unit_resulting_resolution,[],[f82,f65]) ).

fof(f65,plain,
    ! [X0,X1] :
      ( apply(X0,sK8(X0,X1),sK9(X0,X1))
      | sP0(X0,X1) ),
    inference(cnf_transformation,[],[f44]) ).

fof(f101,plain,
    ( member(sK8(sK2,sK4),sK3)
    | spl11_2 ),
    inference(unit_resulting_resolution,[],[f51,f89,f53]) ).

fof(f89,plain,
    ( member(sK8(sK2,sK4),sK4)
    | spl11_2 ),
    inference(unit_resulting_resolution,[],[f82,f62]) ).

fof(f62,plain,
    ! [X0,X1] :
      ( member(sK8(X0,X1),X1)
      | sP0(X0,X1) ),
    inference(cnf_transformation,[],[f44]) ).

fof(f98,plain,
    ( member(sK7(sK2,sK4),sK3)
    | spl11_2 ),
    inference(unit_resulting_resolution,[],[f51,f88,f53]) ).

fof(f88,plain,
    ( member(sK7(sK2,sK4),sK4)
    | spl11_2 ),
    inference(unit_resulting_resolution,[],[f82,f61]) ).

fof(f61,plain,
    ! [X0,X1] :
      ( member(sK7(X0,X1),X1)
      | sP0(X0,X1) ),
    inference(cnf_transformation,[],[f44]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.14  % Problem    : SET805+4 : TPTP v8.2.0. Released v3.2.0.
% 0.12/0.15  % 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
% 0.15/0.36  % Computer : n002.cluster.edu
% 0.15/0.36  % Model    : x86_64 x86_64
% 0.15/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36  % Memory   : 8042.1875MB
% 0.15/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.37  % CPULimit   : 300
% 0.15/0.37  % WCLimit    : 300
% 0.15/0.37  % DateTime   : Mon May 20 11:32:53 EDT 2024
% 0.15/0.37  % CPUTime    : 
% 0.15/0.37  This is a FOF_THM_RFO_SEQ problem
% 0.15/0.37  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/benchmark/theBenchmark.p
% 0.70/0.88  % (25957)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on theBenchmark for (2995ds/45Mi)
% 0.70/0.88  % (25955)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on theBenchmark for (2995ds/33Mi)
% 0.70/0.88  % (25956)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 theBenchmark for (2995ds/34Mi)
% 0.70/0.88  % (25952)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 (2995ds/34Mi)
% 0.70/0.88  % (25954)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on theBenchmark for (2995ds/78Mi)
% 0.70/0.88  % (25958)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 (2995ds/83Mi)
% 0.70/0.88  % (25959)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 (2995ds/56Mi)
% 0.70/0.88  % (25953)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 (2995ds/51Mi)
% 0.70/0.88  % (25957)Refutation not found, incomplete strategy% (25957)------------------------------
% 0.70/0.88  % (25957)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.70/0.88  % (25957)Termination reason: Refutation not found, incomplete strategy
% 0.70/0.88  
% 0.70/0.88  % (25957)Memory used [KB]: 1062
% 0.70/0.88  % (25957)Time elapsed: 0.003 s
% 0.70/0.88  % (25957)Instructions burned: 3 (million)
% 0.70/0.88  % (25959)Refutation not found, incomplete strategy% (25959)------------------------------
% 0.70/0.88  % (25959)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.70/0.88  % (25959)Termination reason: Refutation not found, incomplete strategy
% 0.70/0.88  
% 0.70/0.88  % (25956)Refutation not found, incomplete strategy% (25956)------------------------------
% 0.70/0.88  % (25956)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.70/0.88  % (25959)Memory used [KB]: 1067
% 0.70/0.88  % (25957)------------------------------
% 0.70/0.88  % (25957)------------------------------
% 0.70/0.88  % (25959)Time elapsed: 0.004 s
% 0.70/0.88  % (25959)Instructions burned: 3 (million)
% 0.70/0.88  % (25956)Termination reason: Refutation not found, incomplete strategy
% 0.70/0.88  
% 0.70/0.88  % (25956)Memory used [KB]: 1089
% 0.70/0.88  % (25956)Time elapsed: 0.004 s
% 0.70/0.88  % (25956)Instructions burned: 4 (million)
% 0.70/0.88  % (25958)Refutation not found, incomplete strategy% (25958)------------------------------
% 0.70/0.88  % (25958)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.70/0.88  % (25958)Termination reason: Refutation not found, incomplete strategy
% 0.70/0.88  
% 0.70/0.88  % (25958)Memory used [KB]: 1066
% 0.70/0.88  % (25958)Time elapsed: 0.004 s
% 0.70/0.88  % (25958)Instructions burned: 4 (million)
% 0.70/0.88  % (25959)------------------------------
% 0.70/0.88  % (25959)------------------------------
% 0.70/0.88  % (25956)------------------------------
% 0.70/0.88  % (25956)------------------------------
% 0.70/0.88  % (25958)------------------------------
% 0.70/0.88  % (25958)------------------------------
% 0.70/0.88  % (25955)First to succeed.
% 0.70/0.88  % (25962)lrs+1010_1:2_sil=4000:tgt=ground:nwc=10.0:st=2.0:i=208:sd=1:bd=off:ss=axioms_0 on theBenchmark for (2994ds/208Mi)
% 0.70/0.88  % (25960)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 theBenchmark for (2994ds/55Mi)
% 0.70/0.88  % (25961)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 theBenchmark for (2994ds/50Mi)
% 0.70/0.88  % (25963)lrs-1011_1:1_sil=4000:plsq=on:plsqr=32,1:sp=frequency:plsql=on:nwc=10.0:i=52:aac=none:afr=on:ss=axioms:er=filter:sgt=16:rawr=on:etr=on:lma=on_0 on theBenchmark for (2994ds/52Mi)
% 0.70/0.88  % (25955)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-25951"
% 0.70/0.88  % (25955)Refutation found. Thanks to Tanya!
% 0.70/0.88  % SZS status Theorem for theBenchmark
% 0.70/0.88  % SZS output start Proof for theBenchmark
% See solution above
% 0.70/0.89  % (25955)------------------------------
% 0.70/0.89  % (25955)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.70/0.89  % (25955)Termination reason: Refutation
% 0.70/0.89  
% 0.70/0.89  % (25955)Memory used [KB]: 1131
% 0.70/0.89  % (25955)Time elapsed: 0.010 s
% 0.70/0.89  % (25955)Instructions burned: 12 (million)
% 0.70/0.89  % (25951)Success in time 0.511 s
% 0.70/0.89  % Vampire---4.8 exiting
%------------------------------------------------------------------------------