TSTP Solution File: SET771+4 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SET771+4 : TPTP v8.1.2. Bugfixed v2.2.1.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s

% Computer : n004.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Wed May  1 03:48:54 EDT 2024

% Result   : Theorem 0.62s 0.82s
% Output   : Refutation 0.62s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   16
%            Number of leaves      :   18
% Syntax   : Number of formulae    :  151 (   3 unt;   0 def)
%            Number of atoms       :  710 (  10 equ)
%            Maximal formula atoms :   24 (   4 avg)
%            Number of connectives :  858 ( 299   ~; 346   |; 158   &)
%                                         (  17 <=>;  38  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   17 (   6 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :   15 (  13 usr;   9 prp; 0-3 aty)
%            Number of functors    :   12 (  12 usr;   4 con; 0-3 aty)
%            Number of variables   :  278 ( 209   !;  69   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f454,plain,
    $false,
    inference(avatar_sat_refutation,[],[f103,f125,f135,f146,f149,f170,f172,f174,f327,f404,f448]) ).

fof(f448,plain,
    ( spl13_1
    | ~ spl13_3
    | spl13_4
    | ~ spl13_6 ),
    inference(avatar_contradiction_clause,[],[f447]) ).

fof(f447,plain,
    ( $false
    | spl13_1
    | ~ spl13_3
    | spl13_4
    | ~ spl13_6 ),
    inference(subsumption_resolution,[],[f431,f420]) ).

fof(f420,plain,
    ( apply(sK1,sK10(sK2,sK4),sK5(sK10(sK2,sK4),sK11(sK2,sK4)))
    | spl13_1
    | ~ spl13_3
    | spl13_4
    | ~ spl13_6 ),
    inference(unit_resulting_resolution,[],[f124,f111,f412,f66]) ).

fof(f66,plain,
    ! [X4,X5] :
      ( apply(sK1,X4,sK5(X4,X5))
      | ~ apply(sK4,X4,X5)
      | ~ member(X5,sK2)
      | ~ member(X4,sK2) ),
    inference(cnf_transformation,[],[f53]) ).

fof(f53,plain,
    ( ~ equivalence(sK4,sK2)
    & ! [X4,X5] :
        ( ( ( apply(sK4,X4,X5)
            | ! [X6] :
                ( ~ apply(sK1,X5,X6)
                | ~ apply(sK1,X4,X6)
                | ~ member(X6,sK3) ) )
          & ( ( apply(sK1,X5,sK5(X4,X5))
              & apply(sK1,X4,sK5(X4,X5))
              & member(sK5(X4,X5),sK3) )
            | ~ apply(sK4,X4,X5) ) )
        | ~ member(X5,sK2)
        | ~ member(X4,sK2) )
    & maps(sK1,sK2,sK3) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK1,sK2,sK3,sK4,sK5])],[f50,f52,f51]) ).

fof(f51,plain,
    ( ? [X0,X1,X2,X3] :
        ( ~ equivalence(X3,X1)
        & ! [X4,X5] :
            ( ( ( apply(X3,X4,X5)
                | ! [X6] :
                    ( ~ apply(X0,X5,X6)
                    | ~ apply(X0,X4,X6)
                    | ~ member(X6,X2) ) )
              & ( ? [X7] :
                    ( apply(X0,X5,X7)
                    & apply(X0,X4,X7)
                    & member(X7,X2) )
                | ~ apply(X3,X4,X5) ) )
            | ~ member(X5,X1)
            | ~ member(X4,X1) )
        & maps(X0,X1,X2) )
   => ( ~ equivalence(sK4,sK2)
      & ! [X5,X4] :
          ( ( ( apply(sK4,X4,X5)
              | ! [X6] :
                  ( ~ apply(sK1,X5,X6)
                  | ~ apply(sK1,X4,X6)
                  | ~ member(X6,sK3) ) )
            & ( ? [X7] :
                  ( apply(sK1,X5,X7)
                  & apply(sK1,X4,X7)
                  & member(X7,sK3) )
              | ~ apply(sK4,X4,X5) ) )
          | ~ member(X5,sK2)
          | ~ member(X4,sK2) )
      & maps(sK1,sK2,sK3) ) ),
    introduced(choice_axiom,[]) ).

fof(f52,plain,
    ! [X4,X5] :
      ( ? [X7] :
          ( apply(sK1,X5,X7)
          & apply(sK1,X4,X7)
          & member(X7,sK3) )
     => ( apply(sK1,X5,sK5(X4,X5))
        & apply(sK1,X4,sK5(X4,X5))
        & member(sK5(X4,X5),sK3) ) ),
    introduced(choice_axiom,[]) ).

fof(f50,plain,
    ? [X0,X1,X2,X3] :
      ( ~ equivalence(X3,X1)
      & ! [X4,X5] :
          ( ( ( apply(X3,X4,X5)
              | ! [X6] :
                  ( ~ apply(X0,X5,X6)
                  | ~ apply(X0,X4,X6)
                  | ~ member(X6,X2) ) )
            & ( ? [X7] :
                  ( apply(X0,X5,X7)
                  & apply(X0,X4,X7)
                  & member(X7,X2) )
              | ~ apply(X3,X4,X5) ) )
          | ~ member(X5,X1)
          | ~ member(X4,X1) )
      & maps(X0,X1,X2) ),
    inference(rectify,[],[f49]) ).

fof(f49,plain,
    ? [X0,X1,X2,X3] :
      ( ~ equivalence(X3,X1)
      & ! [X4,X5] :
          ( ( ( apply(X3,X4,X5)
              | ! [X6] :
                  ( ~ apply(X0,X5,X6)
                  | ~ apply(X0,X4,X6)
                  | ~ member(X6,X2) ) )
            & ( ? [X6] :
                  ( apply(X0,X5,X6)
                  & apply(X0,X4,X6)
                  & member(X6,X2) )
              | ~ apply(X3,X4,X5) ) )
          | ~ member(X5,X1)
          | ~ member(X4,X1) )
      & maps(X0,X1,X2) ),
    inference(nnf_transformation,[],[f42]) ).

fof(f42,plain,
    ? [X0,X1,X2,X3] :
      ( ~ equivalence(X3,X1)
      & ! [X4,X5] :
          ( ( apply(X3,X4,X5)
          <=> ? [X6] :
                ( apply(X0,X5,X6)
                & apply(X0,X4,X6)
                & member(X6,X2) ) )
          | ~ member(X5,X1)
          | ~ member(X4,X1) )
      & maps(X0,X1,X2) ),
    inference(flattening,[],[f41]) ).

fof(f41,plain,
    ? [X0,X1,X2,X3] :
      ( ~ equivalence(X3,X1)
      & ! [X4,X5] :
          ( ( apply(X3,X4,X5)
          <=> ? [X6] :
                ( apply(X0,X5,X6)
                & apply(X0,X4,X6)
                & member(X6,X2) ) )
          | ~ member(X5,X1)
          | ~ member(X4,X1) )
      & maps(X0,X1,X2) ),
    inference(ennf_transformation,[],[f36]) ).

fof(f36,plain,
    ~ ! [X0,X1,X2,X3] :
        ( ( ! [X4,X5] :
              ( ( member(X5,X1)
                & member(X4,X1) )
             => ( apply(X3,X4,X5)
              <=> ? [X6] :
                    ( apply(X0,X5,X6)
                    & apply(X0,X4,X6)
                    & member(X6,X2) ) ) )
          & maps(X0,X1,X2) )
       => equivalence(X3,X1) ),
    inference(rectify,[],[f35]) ).

fof(f35,negated_conjecture,
    ~ ! [X5,X0,X1,X14] :
        ( ( ! [X12,X13] :
              ( ( member(X13,X0)
                & member(X12,X0) )
             => ( apply(X14,X12,X13)
              <=> ? [X4] :
                    ( apply(X5,X13,X4)
                    & apply(X5,X12,X4)
                    & member(X4,X1) ) ) )
          & maps(X5,X0,X1) )
       => equivalence(X14,X0) ),
    inference(negated_conjecture,[],[f34]) ).

fof(f34,conjecture,
    ! [X5,X0,X1,X14] :
      ( ( ! [X12,X13] :
            ( ( member(X13,X0)
              & member(X12,X0) )
           => ( apply(X14,X12,X13)
            <=> ? [X4] :
                  ( apply(X5,X13,X4)
                  & apply(X5,X12,X4)
                  & member(X4,X1) ) ) )
        & maps(X5,X0,X1) )
     => equivalence(X14,X0) ),
    file('/export/starexec/sandbox2/tmp/tmp.75hgAvXyTc/Vampire---4.8_10336',thIII07) ).

fof(f412,plain,
    ( apply(sK4,sK10(sK2,sK4),sK11(sK2,sK4))
    | spl13_1
    | spl13_4 ),
    inference(unit_resulting_resolution,[],[f99,f69,f115,f83]) ).

fof(f83,plain,
    ! [X0,X1] :
      ( apply(X1,sK10(X0,X1),sK11(X0,X1))
      | sP0(X1,X0)
      | equivalence(X1,X0)
      | member(sK12(X0,X1),X0) ),
    inference(cnf_transformation,[],[f63]) ).

fof(f63,plain,
    ! [X0,X1] :
      ( equivalence(X1,X0)
      | sP0(X1,X0)
      | ( ~ apply(X1,sK11(X0,X1),sK10(X0,X1))
        & apply(X1,sK10(X0,X1),sK11(X0,X1))
        & member(sK11(X0,X1),X0)
        & member(sK10(X0,X1),X0) )
      | ( ~ apply(X1,sK12(X0,X1),sK12(X0,X1))
        & member(sK12(X0,X1),X0) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK10,sK11,sK12])],[f60,f62,f61]) ).

fof(f61,plain,
    ! [X0,X1] :
      ( ? [X2,X3] :
          ( ~ apply(X1,X3,X2)
          & apply(X1,X2,X3)
          & member(X3,X0)
          & member(X2,X0) )
     => ( ~ apply(X1,sK11(X0,X1),sK10(X0,X1))
        & apply(X1,sK10(X0,X1),sK11(X0,X1))
        & member(sK11(X0,X1),X0)
        & member(sK10(X0,X1),X0) ) ),
    introduced(choice_axiom,[]) ).

fof(f62,plain,
    ! [X0,X1] :
      ( ? [X4] :
          ( ~ apply(X1,X4,X4)
          & member(X4,X0) )
     => ( ~ apply(X1,sK12(X0,X1),sK12(X0,X1))
        & member(sK12(X0,X1),X0) ) ),
    introduced(choice_axiom,[]) ).

fof(f60,plain,
    ! [X0,X1] :
      ( equivalence(X1,X0)
      | sP0(X1,X0)
      | ? [X2,X3] :
          ( ~ apply(X1,X3,X2)
          & apply(X1,X2,X3)
          & member(X3,X0)
          & member(X2,X0) )
      | ? [X4] :
          ( ~ apply(X1,X4,X4)
          & member(X4,X0) ) ),
    inference(rectify,[],[f48]) ).

fof(f48,plain,
    ! [X0,X1] :
      ( equivalence(X1,X0)
      | sP0(X1,X0)
      | ? [X5,X6] :
          ( ~ apply(X1,X6,X5)
          & apply(X1,X5,X6)
          & member(X6,X0)
          & member(X5,X0) )
      | ? [X7] :
          ( ~ apply(X1,X7,X7)
          & member(X7,X0) ) ),
    inference(definition_folding,[],[f46,f47]) ).

fof(f47,plain,
    ! [X1,X0] :
      ( ? [X2,X3,X4] :
          ( ~ apply(X1,X2,X4)
          & apply(X1,X3,X4)
          & apply(X1,X2,X3)
          & member(X4,X0)
          & member(X3,X0)
          & member(X2,X0) )
      | ~ sP0(X1,X0) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).

fof(f46,plain,
    ! [X0,X1] :
      ( equivalence(X1,X0)
      | ? [X2,X3,X4] :
          ( ~ apply(X1,X2,X4)
          & apply(X1,X3,X4)
          & apply(X1,X2,X3)
          & member(X4,X0)
          & member(X3,X0)
          & member(X2,X0) )
      | ? [X5,X6] :
          ( ~ apply(X1,X6,X5)
          & apply(X1,X5,X6)
          & member(X6,X0)
          & member(X5,X0) )
      | ? [X7] :
          ( ~ apply(X1,X7,X7)
          & member(X7,X0) ) ),
    inference(flattening,[],[f45]) ).

fof(f45,plain,
    ! [X0,X1] :
      ( equivalence(X1,X0)
      | ? [X2,X3,X4] :
          ( ~ apply(X1,X2,X4)
          & apply(X1,X3,X4)
          & apply(X1,X2,X3)
          & member(X4,X0)
          & member(X3,X0)
          & member(X2,X0) )
      | ? [X5,X6] :
          ( ~ apply(X1,X6,X5)
          & apply(X1,X5,X6)
          & member(X6,X0)
          & member(X5,X0) )
      | ? [X7] :
          ( ~ apply(X1,X7,X7)
          & member(X7,X0) ) ),
    inference(ennf_transformation,[],[f39]) ).

fof(f39,plain,
    ! [X0,X1] :
      ( ( ! [X2,X3,X4] :
            ( ( member(X4,X0)
              & member(X3,X0)
              & member(X2,X0) )
           => ( ( apply(X1,X3,X4)
                & apply(X1,X2,X3) )
             => apply(X1,X2,X4) ) )
        & ! [X5,X6] :
            ( ( member(X6,X0)
              & member(X5,X0) )
           => ( apply(X1,X5,X6)
             => apply(X1,X6,X5) ) )
        & ! [X7] :
            ( member(X7,X0)
           => apply(X1,X7,X7) ) )
     => equivalence(X1,X0) ),
    inference(unused_predicate_definition_removal,[],[f38]) ).

fof(f38,plain,
    ! [X0,X1] :
      ( equivalence(X1,X0)
    <=> ( ! [X2,X3,X4] :
            ( ( member(X4,X0)
              & member(X3,X0)
              & member(X2,X0) )
           => ( ( apply(X1,X3,X4)
                & apply(X1,X2,X3) )
             => apply(X1,X2,X4) ) )
        & ! [X5,X6] :
            ( ( member(X6,X0)
              & member(X5,X0) )
           => ( apply(X1,X5,X6)
             => apply(X1,X6,X5) ) )
        & ! [X7] :
            ( member(X7,X0)
           => apply(X1,X7,X7) ) ) ),
    inference(rectify,[],[f31]) ).

fof(f31,axiom,
    ! [X0,X14] :
      ( equivalence(X14,X0)
    <=> ( ! [X2,X4,X11] :
            ( ( member(X11,X0)
              & member(X4,X0)
              & member(X2,X0) )
           => ( ( apply(X14,X4,X11)
                & apply(X14,X2,X4) )
             => apply(X14,X2,X11) ) )
        & ! [X2,X4] :
            ( ( member(X4,X0)
              & member(X2,X0) )
           => ( apply(X14,X2,X4)
             => apply(X14,X4,X2) ) )
        & ! [X2] :
            ( member(X2,X0)
           => apply(X14,X2,X2) ) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.75hgAvXyTc/Vampire---4.8_10336',equivalence) ).

fof(f115,plain,
    ( ~ member(sK12(sK2,sK4),sK2)
    | spl13_4 ),
    inference(avatar_component_clause,[],[f113]) ).

fof(f113,plain,
    ( spl13_4
  <=> member(sK12(sK2,sK4),sK2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl13_4])]) ).

fof(f69,plain,
    ~ equivalence(sK4,sK2),
    inference(cnf_transformation,[],[f53]) ).

fof(f99,plain,
    ( ~ sP0(sK4,sK2)
    | spl13_1 ),
    inference(avatar_component_clause,[],[f97]) ).

fof(f97,plain,
    ( spl13_1
  <=> sP0(sK4,sK2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl13_1])]) ).

fof(f111,plain,
    ( member(sK11(sK2,sK4),sK2)
    | ~ spl13_3 ),
    inference(avatar_component_clause,[],[f109]) ).

fof(f109,plain,
    ( spl13_3
  <=> member(sK11(sK2,sK4),sK2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl13_3])]) ).

fof(f124,plain,
    ( member(sK10(sK2,sK4),sK2)
    | ~ spl13_6 ),
    inference(avatar_component_clause,[],[f122]) ).

fof(f122,plain,
    ( spl13_6
  <=> member(sK10(sK2,sK4),sK2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl13_6])]) ).

fof(f431,plain,
    ( ~ apply(sK1,sK10(sK2,sK4),sK5(sK10(sK2,sK4),sK11(sK2,sK4)))
    | spl13_1
    | ~ spl13_3
    | spl13_4
    | ~ spl13_6 ),
    inference(unit_resulting_resolution,[],[f99,f69,f115,f111,f124,f421,f419,f90]) ).

fof(f90,plain,
    ! [X0,X1] :
      ( ~ member(sK11(X0,sK4),sK2)
      | ~ apply(sK1,sK11(X0,sK4),X1)
      | ~ member(X1,sK3)
      | ~ member(sK10(X0,sK4),sK2)
      | ~ apply(sK1,sK10(X0,sK4),X1)
      | sP0(sK4,X0)
      | equivalence(sK4,X0)
      | member(sK12(X0,sK4),X0) ),
    inference(resolution,[],[f68,f85]) ).

fof(f85,plain,
    ! [X0,X1] :
      ( ~ apply(X1,sK11(X0,X1),sK10(X0,X1))
      | sP0(X1,X0)
      | equivalence(X1,X0)
      | member(sK12(X0,X1),X0) ),
    inference(cnf_transformation,[],[f63]) ).

fof(f68,plain,
    ! [X6,X4,X5] :
      ( apply(sK4,X4,X5)
      | ~ apply(sK1,X5,X6)
      | ~ apply(sK1,X4,X6)
      | ~ member(X6,sK3)
      | ~ member(X5,sK2)
      | ~ member(X4,sK2) ),
    inference(cnf_transformation,[],[f53]) ).

fof(f419,plain,
    ( apply(sK1,sK11(sK2,sK4),sK5(sK10(sK2,sK4),sK11(sK2,sK4)))
    | spl13_1
    | ~ spl13_3
    | spl13_4
    | ~ spl13_6 ),
    inference(unit_resulting_resolution,[],[f124,f111,f412,f67]) ).

fof(f67,plain,
    ! [X4,X5] :
      ( apply(sK1,X5,sK5(X4,X5))
      | ~ apply(sK4,X4,X5)
      | ~ member(X5,sK2)
      | ~ member(X4,sK2) ),
    inference(cnf_transformation,[],[f53]) ).

fof(f421,plain,
    ( member(sK5(sK10(sK2,sK4),sK11(sK2,sK4)),sK3)
    | spl13_1
    | ~ spl13_3
    | spl13_4
    | ~ spl13_6 ),
    inference(unit_resulting_resolution,[],[f124,f111,f412,f65]) ).

fof(f65,plain,
    ! [X4,X5] :
      ( member(sK5(X4,X5),sK3)
      | ~ apply(sK4,X4,X5)
      | ~ member(X5,sK2)
      | ~ member(X4,sK2) ),
    inference(cnf_transformation,[],[f53]) ).

fof(f404,plain,
    ( spl13_1
    | ~ spl13_3
    | ~ spl13_6
    | ~ spl13_7
    | spl13_8 ),
    inference(avatar_contradiction_clause,[],[f403]) ).

fof(f403,plain,
    ( $false
    | spl13_1
    | ~ spl13_3
    | ~ spl13_6
    | ~ spl13_7
    | spl13_8 ),
    inference(subsumption_resolution,[],[f390,f363]) ).

fof(f363,plain,
    ( apply(sK1,sK10(sK2,sK4),sK5(sK10(sK2,sK4),sK11(sK2,sK4)))
    | spl13_1
    | ~ spl13_3
    | ~ spl13_6
    | ~ spl13_7 ),
    inference(unit_resulting_resolution,[],[f124,f111,f350,f66]) ).

fof(f350,plain,
    ( apply(sK4,sK10(sK2,sK4),sK11(sK2,sK4))
    | spl13_1
    | ~ spl13_7 ),
    inference(unit_resulting_resolution,[],[f69,f129,f99,f84]) ).

fof(f84,plain,
    ! [X0,X1] :
      ( apply(X1,sK10(X0,X1),sK11(X0,X1))
      | sP0(X1,X0)
      | equivalence(X1,X0)
      | ~ apply(X1,sK12(X0,X1),sK12(X0,X1)) ),
    inference(cnf_transformation,[],[f63]) ).

fof(f129,plain,
    ( apply(sK4,sK12(sK2,sK4),sK12(sK2,sK4))
    | ~ spl13_7 ),
    inference(avatar_component_clause,[],[f128]) ).

fof(f128,plain,
    ( spl13_7
  <=> apply(sK4,sK12(sK2,sK4),sK12(sK2,sK4)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl13_7])]) ).

fof(f390,plain,
    ( ~ apply(sK1,sK10(sK2,sK4),sK5(sK10(sK2,sK4),sK11(sK2,sK4)))
    | spl13_1
    | ~ spl13_3
    | ~ spl13_6
    | ~ spl13_7
    | spl13_8 ),
    inference(unit_resulting_resolution,[],[f111,f124,f134,f364,f362,f68]) ).

fof(f362,plain,
    ( apply(sK1,sK11(sK2,sK4),sK5(sK10(sK2,sK4),sK11(sK2,sK4)))
    | spl13_1
    | ~ spl13_3
    | ~ spl13_6
    | ~ spl13_7 ),
    inference(unit_resulting_resolution,[],[f124,f111,f350,f67]) ).

fof(f364,plain,
    ( member(sK5(sK10(sK2,sK4),sK11(sK2,sK4)),sK3)
    | spl13_1
    | ~ spl13_3
    | ~ spl13_6
    | ~ spl13_7 ),
    inference(unit_resulting_resolution,[],[f124,f111,f350,f65]) ).

fof(f134,plain,
    ( ~ apply(sK4,sK11(sK2,sK4),sK10(sK2,sK4))
    | spl13_8 ),
    inference(avatar_component_clause,[],[f132]) ).

fof(f132,plain,
    ( spl13_8
  <=> apply(sK4,sK11(sK2,sK4),sK10(sK2,sK4)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl13_8])]) ).

fof(f327,plain,
    ( ~ spl13_1
    | ~ spl13_2 ),
    inference(avatar_contradiction_clause,[],[f326]) ).

fof(f326,plain,
    ( $false
    | ~ spl13_1
    | ~ spl13_2 ),
    inference(subsumption_resolution,[],[f324,f300]) ).

fof(f300,plain,
    ( ~ apply(sK1,sK7(sK4,sK2),sK6(sK1,sK3,sK8(sK4,sK2)))
    | ~ spl13_1
    | ~ spl13_2 ),
    inference(backward_demodulation,[],[f221,f296]) ).

fof(f296,plain,
    ( sK6(sK1,sK3,sK9(sK4,sK2)) = sK6(sK1,sK3,sK8(sK4,sK2))
    | ~ spl13_1 ),
    inference(unit_resulting_resolution,[],[f64,f179,f190,f189,f182,f283,f72]) ).

fof(f72,plain,
    ! [X2,X3,X0,X1,X4,X5] :
      ( X4 = X5
      | ~ apply(X0,X3,X5)
      | ~ apply(X0,X3,X4)
      | ~ member(X5,X2)
      | ~ member(X4,X2)
      | ~ member(X3,X1)
      | ~ maps(X0,X1,X2) ),
    inference(cnf_transformation,[],[f55]) ).

fof(f55,plain,
    ! [X0,X1,X2] :
      ( ( ! [X3,X4,X5] :
            ( X4 = X5
            | ~ apply(X0,X3,X5)
            | ~ apply(X0,X3,X4)
            | ~ member(X5,X2)
            | ~ member(X4,X2)
            | ~ member(X3,X1) )
        & ! [X6] :
            ( ( apply(X0,X6,sK6(X0,X2,X6))
              & member(sK6(X0,X2,X6),X2) )
            | ~ member(X6,X1) ) )
      | ~ maps(X0,X1,X2) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK6])],[f44,f54]) ).

fof(f54,plain,
    ! [X0,X2,X6] :
      ( ? [X7] :
          ( apply(X0,X6,X7)
          & member(X7,X2) )
     => ( apply(X0,X6,sK6(X0,X2,X6))
        & member(sK6(X0,X2,X6),X2) ) ),
    introduced(choice_axiom,[]) ).

fof(f44,plain,
    ! [X0,X1,X2] :
      ( ( ! [X3,X4,X5] :
            ( X4 = X5
            | ~ apply(X0,X3,X5)
            | ~ apply(X0,X3,X4)
            | ~ member(X5,X2)
            | ~ member(X4,X2)
            | ~ member(X3,X1) )
        & ! [X6] :
            ( ? [X7] :
                ( apply(X0,X6,X7)
                & member(X7,X2) )
            | ~ member(X6,X1) ) )
      | ~ maps(X0,X1,X2) ),
    inference(flattening,[],[f43]) ).

fof(f43,plain,
    ! [X0,X1,X2] :
      ( ( ! [X3,X4,X5] :
            ( X4 = X5
            | ~ apply(X0,X3,X5)
            | ~ apply(X0,X3,X4)
            | ~ member(X5,X2)
            | ~ member(X4,X2)
            | ~ member(X3,X1) )
        & ! [X6] :
            ( ? [X7] :
                ( apply(X0,X6,X7)
                & member(X7,X2) )
            | ~ member(X6,X1) ) )
      | ~ maps(X0,X1,X2) ),
    inference(ennf_transformation,[],[f40]) ).

fof(f40,plain,
    ! [X0,X1,X2] :
      ( maps(X0,X1,X2)
     => ( ! [X3,X4,X5] :
            ( ( member(X5,X2)
              & member(X4,X2)
              & member(X3,X1) )
           => ( ( apply(X0,X3,X5)
                & apply(X0,X3,X4) )
             => X4 = X5 ) )
        & ! [X6] :
            ( member(X6,X1)
           => ? [X7] :
                ( apply(X0,X6,X7)
                & member(X7,X2) ) ) ) ),
    inference(unused_predicate_definition_removal,[],[f37]) ).

fof(f37,plain,
    ! [X0,X1,X2] :
      ( maps(X0,X1,X2)
    <=> ( ! [X3,X4,X5] :
            ( ( member(X5,X2)
              & member(X4,X2)
              & member(X3,X1) )
           => ( ( apply(X0,X3,X5)
                & apply(X0,X3,X4) )
             => X4 = X5 ) )
        & ! [X6] :
            ( member(X6,X1)
           => ? [X7] :
                ( apply(X0,X6,X7)
                & member(X7,X2) ) ) ) ),
    inference(rectify,[],[f12]) ).

fof(f12,axiom,
    ! [X5,X0,X1] :
      ( maps(X5,X0,X1)
    <=> ( ! [X2,X6,X7] :
            ( ( member(X7,X1)
              & member(X6,X1)
              & member(X2,X0) )
           => ( ( apply(X5,X2,X7)
                & apply(X5,X2,X6) )
             => X6 = X7 ) )
        & ! [X2] :
            ( member(X2,X0)
           => ? [X4] :
                ( apply(X5,X2,X4)
                & member(X4,X1) ) ) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.75hgAvXyTc/Vampire---4.8_10336',maps) ).

fof(f283,plain,
    ( apply(sK1,sK8(sK4,sK2),sK6(sK1,sK3,sK9(sK4,sK2)))
    | ~ spl13_1 ),
    inference(backward_demodulation,[],[f201,f278]) ).

fof(f278,plain,
    ( sK6(sK1,sK3,sK9(sK4,sK2)) = sK5(sK8(sK4,sK2),sK9(sK4,sK2))
    | ~ spl13_1 ),
    inference(unit_resulting_resolution,[],[f64,f178,f182,f181,f202,f200,f72]) ).

fof(f200,plain,
    ( apply(sK1,sK9(sK4,sK2),sK5(sK8(sK4,sK2),sK9(sK4,sK2)))
    | ~ spl13_1 ),
    inference(unit_resulting_resolution,[],[f179,f178,f176,f67]) ).

fof(f176,plain,
    ( apply(sK4,sK8(sK4,sK2),sK9(sK4,sK2))
    | ~ spl13_1 ),
    inference(unit_resulting_resolution,[],[f98,f77]) ).

fof(f77,plain,
    ! [X0,X1] :
      ( apply(X0,sK8(X0,X1),sK9(X0,X1))
      | ~ sP0(X0,X1) ),
    inference(cnf_transformation,[],[f59]) ).

fof(f59,plain,
    ! [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) )
      | ~ sP0(X0,X1) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK7,sK8,sK9])],[f57,f58]) ).

fof(f58,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(f57,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) )
      | ~ sP0(X0,X1) ),
    inference(rectify,[],[f56]) ).

fof(f56,plain,
    ! [X1,X0] :
      ( ? [X2,X3,X4] :
          ( ~ apply(X1,X2,X4)
          & apply(X1,X3,X4)
          & apply(X1,X2,X3)
          & member(X4,X0)
          & member(X3,X0)
          & member(X2,X0) )
      | ~ sP0(X1,X0) ),
    inference(nnf_transformation,[],[f47]) ).

fof(f98,plain,
    ( sP0(sK4,sK2)
    | ~ spl13_1 ),
    inference(avatar_component_clause,[],[f97]) ).

fof(f202,plain,
    ( member(sK5(sK8(sK4,sK2),sK9(sK4,sK2)),sK3)
    | ~ spl13_1 ),
    inference(unit_resulting_resolution,[],[f179,f178,f176,f65]) ).

fof(f181,plain,
    ( apply(sK1,sK9(sK4,sK2),sK6(sK1,sK3,sK9(sK4,sK2)))
    | ~ spl13_1 ),
    inference(unit_resulting_resolution,[],[f64,f178,f71]) ).

fof(f71,plain,
    ! [X2,X0,X1,X6] :
      ( apply(X0,X6,sK6(X0,X2,X6))
      | ~ member(X6,X1)
      | ~ maps(X0,X1,X2) ),
    inference(cnf_transformation,[],[f55]) ).

fof(f178,plain,
    ( member(sK9(sK4,sK2),sK2)
    | ~ spl13_1 ),
    inference(unit_resulting_resolution,[],[f98,f75]) ).

fof(f75,plain,
    ! [X0,X1] :
      ( member(sK9(X0,X1),X1)
      | ~ sP0(X0,X1) ),
    inference(cnf_transformation,[],[f59]) ).

fof(f201,plain,
    ( apply(sK1,sK8(sK4,sK2),sK5(sK8(sK4,sK2),sK9(sK4,sK2)))
    | ~ spl13_1 ),
    inference(unit_resulting_resolution,[],[f179,f178,f176,f66]) ).

fof(f182,plain,
    ( member(sK6(sK1,sK3,sK9(sK4,sK2)),sK3)
    | ~ spl13_1 ),
    inference(unit_resulting_resolution,[],[f64,f178,f70]) ).

fof(f70,plain,
    ! [X2,X0,X1,X6] :
      ( member(sK6(X0,X2,X6),X2)
      | ~ member(X6,X1)
      | ~ maps(X0,X1,X2) ),
    inference(cnf_transformation,[],[f55]) ).

fof(f189,plain,
    ( apply(sK1,sK8(sK4,sK2),sK6(sK1,sK3,sK8(sK4,sK2)))
    | ~ spl13_1 ),
    inference(unit_resulting_resolution,[],[f64,f179,f71]) ).

fof(f190,plain,
    ( member(sK6(sK1,sK3,sK8(sK4,sK2)),sK3)
    | ~ spl13_1 ),
    inference(unit_resulting_resolution,[],[f64,f179,f70]) ).

fof(f179,plain,
    ( member(sK8(sK4,sK2),sK2)
    | ~ spl13_1 ),
    inference(unit_resulting_resolution,[],[f98,f74]) ).

fof(f74,plain,
    ! [X0,X1] :
      ( member(sK8(X0,X1),X1)
      | ~ sP0(X0,X1) ),
    inference(cnf_transformation,[],[f59]) ).

fof(f64,plain,
    maps(sK1,sK2,sK3),
    inference(cnf_transformation,[],[f53]) ).

fof(f221,plain,
    ( ~ apply(sK1,sK7(sK4,sK2),sK6(sK1,sK3,sK9(sK4,sK2)))
    | ~ spl13_1
    | ~ spl13_2 ),
    inference(unit_resulting_resolution,[],[f64,f178,f182,f186]) ).

fof(f186,plain,
    ( ! [X0,X1] :
        ( ~ apply(sK1,sK7(sK4,sK2),sK6(sK1,X0,sK9(sK4,sK2)))
        | ~ member(sK6(sK1,X0,sK9(sK4,sK2)),sK3)
        | ~ member(sK9(sK4,sK2),X1)
        | ~ maps(sK1,X1,X0) )
    | ~ spl13_2 ),
    inference(resolution,[],[f102,f71]) ).

fof(f102,plain,
    ( ! [X0] :
        ( ~ apply(sK1,sK9(sK4,sK2),X0)
        | ~ apply(sK1,sK7(sK4,sK2),X0)
        | ~ member(X0,sK3) )
    | ~ spl13_2 ),
    inference(avatar_component_clause,[],[f101]) ).

fof(f101,plain,
    ( spl13_2
  <=> ! [X0] :
        ( ~ apply(sK1,sK7(sK4,sK2),X0)
        | ~ apply(sK1,sK9(sK4,sK2),X0)
        | ~ member(X0,sK3) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl13_2])]) ).

fof(f324,plain,
    ( apply(sK1,sK7(sK4,sK2),sK6(sK1,sK3,sK8(sK4,sK2)))
    | ~ spl13_1 ),
    inference(backward_demodulation,[],[f204,f321]) ).

fof(f321,plain,
    ( sK6(sK1,sK3,sK8(sK4,sK2)) = sK5(sK7(sK4,sK2),sK8(sK4,sK2))
    | ~ spl13_1 ),
    inference(unit_resulting_resolution,[],[f64,f179,f190,f189,f205,f203,f72]) ).

fof(f203,plain,
    ( apply(sK1,sK8(sK4,sK2),sK5(sK7(sK4,sK2),sK8(sK4,sK2)))
    | ~ spl13_1 ),
    inference(unit_resulting_resolution,[],[f180,f179,f177,f67]) ).

fof(f177,plain,
    ( apply(sK4,sK7(sK4,sK2),sK8(sK4,sK2))
    | ~ spl13_1 ),
    inference(unit_resulting_resolution,[],[f98,f76]) ).

fof(f76,plain,
    ! [X0,X1] :
      ( apply(X0,sK7(X0,X1),sK8(X0,X1))
      | ~ sP0(X0,X1) ),
    inference(cnf_transformation,[],[f59]) ).

fof(f180,plain,
    ( member(sK7(sK4,sK2),sK2)
    | ~ spl13_1 ),
    inference(unit_resulting_resolution,[],[f98,f73]) ).

fof(f73,plain,
    ! [X0,X1] :
      ( member(sK7(X0,X1),X1)
      | ~ sP0(X0,X1) ),
    inference(cnf_transformation,[],[f59]) ).

fof(f205,plain,
    ( member(sK5(sK7(sK4,sK2),sK8(sK4,sK2)),sK3)
    | ~ spl13_1 ),
    inference(unit_resulting_resolution,[],[f180,f179,f177,f65]) ).

fof(f204,plain,
    ( apply(sK1,sK7(sK4,sK2),sK5(sK7(sK4,sK2),sK8(sK4,sK2)))
    | ~ spl13_1 ),
    inference(unit_resulting_resolution,[],[f180,f179,f177,f66]) ).

fof(f174,plain,
    ( spl13_5
    | ~ spl13_4
    | spl13_7 ),
    inference(avatar_split_clause,[],[f173,f128,f113,f117]) ).

fof(f117,plain,
    ( spl13_5
  <=> ! [X0] :
        ( ~ member(X0,sK3)
        | ~ apply(sK1,sK12(sK2,sK4),X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl13_5])]) ).

fof(f173,plain,
    ( ! [X0] :
        ( ~ apply(sK1,sK12(sK2,sK4),X0)
        | ~ member(X0,sK3) )
    | ~ spl13_4
    | spl13_7 ),
    inference(subsumption_resolution,[],[f161,f114]) ).

fof(f114,plain,
    ( member(sK12(sK2,sK4),sK2)
    | ~ spl13_4 ),
    inference(avatar_component_clause,[],[f113]) ).

fof(f161,plain,
    ( ! [X0] :
        ( ~ apply(sK1,sK12(sK2,sK4),X0)
        | ~ member(X0,sK3)
        | ~ member(sK12(sK2,sK4),sK2) )
    | spl13_7 ),
    inference(duplicate_literal_removal,[],[f160]) ).

fof(f160,plain,
    ( ! [X0] :
        ( ~ apply(sK1,sK12(sK2,sK4),X0)
        | ~ apply(sK1,sK12(sK2,sK4),X0)
        | ~ member(X0,sK3)
        | ~ member(sK12(sK2,sK4),sK2)
        | ~ member(sK12(sK2,sK4),sK2) )
    | spl13_7 ),
    inference(resolution,[],[f130,f68]) ).

fof(f130,plain,
    ( ~ apply(sK4,sK12(sK2,sK4),sK12(sK2,sK4))
    | spl13_7 ),
    inference(avatar_component_clause,[],[f128]) ).

fof(f172,plain,
    ( ~ spl13_4
    | ~ spl13_5 ),
    inference(avatar_contradiction_clause,[],[f171]) ).

fof(f171,plain,
    ( $false
    | ~ spl13_4
    | ~ spl13_5 ),
    inference(subsumption_resolution,[],[f167,f150]) ).

fof(f150,plain,
    ( apply(sK1,sK12(sK2,sK4),sK6(sK1,sK3,sK12(sK2,sK4)))
    | ~ spl13_4 ),
    inference(unit_resulting_resolution,[],[f64,f114,f71]) ).

fof(f167,plain,
    ( ~ apply(sK1,sK12(sK2,sK4),sK6(sK1,sK3,sK12(sK2,sK4)))
    | ~ spl13_4
    | ~ spl13_5 ),
    inference(unit_resulting_resolution,[],[f151,f118]) ).

fof(f118,plain,
    ( ! [X0] :
        ( ~ apply(sK1,sK12(sK2,sK4),X0)
        | ~ member(X0,sK3) )
    | ~ spl13_5 ),
    inference(avatar_component_clause,[],[f117]) ).

fof(f151,plain,
    ( member(sK6(sK1,sK3,sK12(sK2,sK4)),sK3)
    | ~ spl13_4 ),
    inference(unit_resulting_resolution,[],[f64,f114,f70]) ).

fof(f170,plain,
    ( spl13_1
    | spl13_3
    | ~ spl13_4 ),
    inference(avatar_contradiction_clause,[],[f169]) ).

fof(f169,plain,
    ( $false
    | spl13_1
    | spl13_3
    | ~ spl13_4 ),
    inference(subsumption_resolution,[],[f168,f150]) ).

fof(f168,plain,
    ( ~ apply(sK1,sK12(sK2,sK4),sK6(sK1,sK3,sK12(sK2,sK4)))
    | spl13_1
    | spl13_3
    | ~ spl13_4 ),
    inference(unit_resulting_resolution,[],[f69,f99,f110,f114,f151,f92]) ).

fof(f92,plain,
    ! [X0,X1] :
      ( sP0(sK4,X0)
      | ~ member(X1,sK3)
      | ~ member(sK12(X0,sK4),sK2)
      | ~ apply(sK1,sK12(X0,sK4),X1)
      | member(sK11(X0,sK4),X0)
      | equivalence(sK4,X0) ),
    inference(duplicate_literal_removal,[],[f88]) ).

fof(f88,plain,
    ! [X0,X1] :
      ( ~ apply(sK1,sK12(X0,sK4),X1)
      | ~ apply(sK1,sK12(X0,sK4),X1)
      | ~ member(X1,sK3)
      | ~ member(sK12(X0,sK4),sK2)
      | ~ member(sK12(X0,sK4),sK2)
      | sP0(sK4,X0)
      | member(sK11(X0,sK4),X0)
      | equivalence(sK4,X0) ),
    inference(resolution,[],[f68,f82]) ).

fof(f82,plain,
    ! [X0,X1] :
      ( ~ apply(X1,sK12(X0,X1),sK12(X0,X1))
      | sP0(X1,X0)
      | member(sK11(X0,X1),X0)
      | equivalence(X1,X0) ),
    inference(cnf_transformation,[],[f63]) ).

fof(f110,plain,
    ( ~ member(sK11(sK2,sK4),sK2)
    | spl13_3 ),
    inference(avatar_component_clause,[],[f109]) ).

fof(f149,plain,
    ( spl13_6
    | spl13_1
    | spl13_4 ),
    inference(avatar_split_clause,[],[f148,f113,f97,f122]) ).

fof(f148,plain,
    ( member(sK10(sK2,sK4),sK2)
    | spl13_1
    | spl13_4 ),
    inference(subsumption_resolution,[],[f147,f69]) ).

fof(f147,plain,
    ( member(sK10(sK2,sK4),sK2)
    | equivalence(sK4,sK2)
    | spl13_1
    | spl13_4 ),
    inference(subsumption_resolution,[],[f141,f99]) ).

fof(f141,plain,
    ( sP0(sK4,sK2)
    | member(sK10(sK2,sK4),sK2)
    | equivalence(sK4,sK2)
    | spl13_4 ),
    inference(resolution,[],[f115,f79]) ).

fof(f79,plain,
    ! [X0,X1] :
      ( member(sK12(X0,X1),X0)
      | sP0(X1,X0)
      | member(sK10(X0,X1),X0)
      | equivalence(X1,X0) ),
    inference(cnf_transformation,[],[f63]) ).

fof(f146,plain,
    ( spl13_3
    | spl13_1
    | spl13_4 ),
    inference(avatar_split_clause,[],[f145,f113,f97,f109]) ).

fof(f145,plain,
    ( member(sK11(sK2,sK4),sK2)
    | spl13_1
    | spl13_4 ),
    inference(subsumption_resolution,[],[f144,f69]) ).

fof(f144,plain,
    ( member(sK11(sK2,sK4),sK2)
    | equivalence(sK4,sK2)
    | spl13_1
    | spl13_4 ),
    inference(subsumption_resolution,[],[f140,f99]) ).

fof(f140,plain,
    ( sP0(sK4,sK2)
    | member(sK11(sK2,sK4),sK2)
    | equivalence(sK4,sK2)
    | spl13_4 ),
    inference(resolution,[],[f115,f81]) ).

fof(f81,plain,
    ! [X0,X1] :
      ( member(sK12(X0,X1),X0)
      | sP0(X1,X0)
      | member(sK11(X0,X1),X0)
      | equivalence(X1,X0) ),
    inference(cnf_transformation,[],[f63]) ).

fof(f135,plain,
    ( ~ spl13_7
    | ~ spl13_8
    | spl13_1 ),
    inference(avatar_split_clause,[],[f126,f97,f132,f128]) ).

fof(f126,plain,
    ( ~ apply(sK4,sK11(sK2,sK4),sK10(sK2,sK4))
    | ~ apply(sK4,sK12(sK2,sK4),sK12(sK2,sK4))
    | spl13_1 ),
    inference(subsumption_resolution,[],[f106,f69]) ).

fof(f106,plain,
    ( equivalence(sK4,sK2)
    | ~ apply(sK4,sK11(sK2,sK4),sK10(sK2,sK4))
    | ~ apply(sK4,sK12(sK2,sK4),sK12(sK2,sK4))
    | spl13_1 ),
    inference(resolution,[],[f99,f86]) ).

fof(f86,plain,
    ! [X0,X1] :
      ( sP0(X1,X0)
      | equivalence(X1,X0)
      | ~ apply(X1,sK11(X0,X1),sK10(X0,X1))
      | ~ apply(X1,sK12(X0,X1),sK12(X0,X1)) ),
    inference(cnf_transformation,[],[f63]) ).

fof(f125,plain,
    ( spl13_6
    | ~ spl13_4
    | spl13_5
    | spl13_1 ),
    inference(avatar_split_clause,[],[f120,f97,f117,f113,f122]) ).

fof(f120,plain,
    ( ! [X0] :
        ( ~ member(X0,sK3)
        | ~ member(sK12(sK2,sK4),sK2)
        | ~ apply(sK1,sK12(sK2,sK4),X0)
        | member(sK10(sK2,sK4),sK2) )
    | spl13_1 ),
    inference(subsumption_resolution,[],[f105,f69]) ).

fof(f105,plain,
    ( ! [X0] :
        ( ~ member(X0,sK3)
        | ~ member(sK12(sK2,sK4),sK2)
        | ~ apply(sK1,sK12(sK2,sK4),X0)
        | member(sK10(sK2,sK4),sK2)
        | equivalence(sK4,sK2) )
    | spl13_1 ),
    inference(resolution,[],[f99,f91]) ).

fof(f91,plain,
    ! [X0,X1] :
      ( sP0(sK4,X0)
      | ~ member(X1,sK3)
      | ~ member(sK12(X0,sK4),sK2)
      | ~ apply(sK1,sK12(X0,sK4),X1)
      | member(sK10(X0,sK4),X0)
      | equivalence(sK4,X0) ),
    inference(duplicate_literal_removal,[],[f89]) ).

fof(f89,plain,
    ! [X0,X1] :
      ( ~ apply(sK1,sK12(X0,sK4),X1)
      | ~ apply(sK1,sK12(X0,sK4),X1)
      | ~ member(X1,sK3)
      | ~ member(sK12(X0,sK4),sK2)
      | ~ member(sK12(X0,sK4),sK2)
      | sP0(sK4,X0)
      | member(sK10(X0,sK4),X0)
      | equivalence(sK4,X0) ),
    inference(resolution,[],[f68,f80]) ).

fof(f80,plain,
    ! [X0,X1] :
      ( ~ apply(X1,sK12(X0,X1),sK12(X0,X1))
      | sP0(X1,X0)
      | member(sK10(X0,X1),X0)
      | equivalence(X1,X0) ),
    inference(cnf_transformation,[],[f63]) ).

fof(f103,plain,
    ( ~ spl13_1
    | spl13_2 ),
    inference(avatar_split_clause,[],[f95,f101,f97]) ).

fof(f95,plain,
    ! [X0] :
      ( ~ apply(sK1,sK7(sK4,sK2),X0)
      | ~ member(X0,sK3)
      | ~ apply(sK1,sK9(sK4,sK2),X0)
      | ~ sP0(sK4,sK2) ),
    inference(subsumption_resolution,[],[f94,f73]) ).

fof(f94,plain,
    ! [X0] :
      ( ~ apply(sK1,sK7(sK4,sK2),X0)
      | ~ member(X0,sK3)
      | ~ apply(sK1,sK9(sK4,sK2),X0)
      | ~ member(sK7(sK4,sK2),sK2)
      | ~ sP0(sK4,sK2) ),
    inference(duplicate_literal_removal,[],[f93]) ).

fof(f93,plain,
    ! [X0] :
      ( ~ apply(sK1,sK7(sK4,sK2),X0)
      | ~ member(X0,sK3)
      | ~ apply(sK1,sK9(sK4,sK2),X0)
      | ~ member(sK7(sK4,sK2),sK2)
      | ~ sP0(sK4,sK2)
      | ~ sP0(sK4,sK2) ),
    inference(resolution,[],[f87,f75]) ).

fof(f87,plain,
    ! [X0,X1] :
      ( ~ member(sK9(sK4,X0),sK2)
      | ~ apply(sK1,sK7(sK4,X0),X1)
      | ~ member(X1,sK3)
      | ~ apply(sK1,sK9(sK4,X0),X1)
      | ~ member(sK7(sK4,X0),sK2)
      | ~ sP0(sK4,X0) ),
    inference(resolution,[],[f68,f78]) ).

fof(f78,plain,
    ! [X0,X1] :
      ( ~ apply(X0,sK7(X0,X1),sK9(X0,X1))
      | ~ sP0(X0,X1) ),
    inference(cnf_transformation,[],[f59]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem    : SET771+4 : TPTP v8.1.2. Bugfixed v2.2.1.
% 0.07/0.15  % 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
% 0.16/0.36  % Computer : n004.cluster.edu
% 0.16/0.36  % Model    : x86_64 x86_64
% 0.16/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.36  % Memory   : 8042.1875MB
% 0.16/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.16/0.36  % CPULimit   : 300
% 0.16/0.36  % WCLimit    : 300
% 0.16/0.36  % DateTime   : Tue Apr 30 17:08:33 EDT 2024
% 0.16/0.36  % CPUTime    : 
% 0.16/0.36  This is a FOF_THM_RFO_SEQ problem
% 0.16/0.36  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/tmp/tmp.75hgAvXyTc/Vampire---4.8_10336
% 0.62/0.80  % (10546)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)
% 0.62/0.80  % (10548)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2995ds/78Mi)
% 0.62/0.80  % (10550)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)
% 0.62/0.80  % (10547)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)
% 0.62/0.80  % (10552)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)
% 0.62/0.80  % (10549)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)
% 0.62/0.80  % (10551)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)
% 0.62/0.81  % (10553)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)
% 0.62/0.81  % (10552)Refutation not found, incomplete strategy% (10552)------------------------------
% 0.62/0.81  % (10552)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.62/0.81  % (10552)Termination reason: Refutation not found, incomplete strategy
% 0.62/0.81  
% 0.62/0.81  % (10552)Memory used [KB]: 1105
% 0.62/0.81  % (10552)Time elapsed: 0.006 s
% 0.62/0.81  % (10552)Instructions burned: 6 (million)
% 0.62/0.81  % (10552)------------------------------
% 0.62/0.81  % (10552)------------------------------
% 0.62/0.81  % (10546)Refutation not found, incomplete strategy% (10546)------------------------------
% 0.62/0.81  % (10546)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.62/0.81  % (10546)Termination reason: Refutation not found, incomplete strategy
% 0.62/0.81  
% 0.62/0.81  % (10546)Memory used [KB]: 1151
% 0.62/0.81  % (10546)Time elapsed: 0.007 s
% 0.62/0.81  % (10546)Instructions burned: 10 (million)
% 0.62/0.81  % (10546)------------------------------
% 0.62/0.81  % (10546)------------------------------
% 0.62/0.81  % (10555)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)
% 0.62/0.81  % (10556)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)
% 0.62/0.82  % (10555)Refutation not found, incomplete strategy% (10555)------------------------------
% 0.62/0.82  % (10555)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.62/0.82  % (10555)Termination reason: Refutation not found, incomplete strategy
% 0.62/0.82  
% 0.62/0.82  % (10555)Memory used [KB]: 1129
% 0.62/0.82  % (10555)Time elapsed: 0.006 s
% 0.62/0.82  % (10555)Instructions burned: 8 (million)
% 0.62/0.82  % (10555)------------------------------
% 0.62/0.82  % (10555)------------------------------
% 0.62/0.82  % (10549)First to succeed.
% 0.62/0.82  % (10557)lrs+1010_1:2_sil=4000:tgt=ground:nwc=10.0:st=2.0:i=208:sd=1:bd=off:ss=axioms_0 on Vampire---4 for (2995ds/208Mi)
% 0.62/0.82  % (10550)Instruction limit reached!
% 0.62/0.82  % (10550)------------------------------
% 0.62/0.82  % (10550)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.62/0.82  % (10550)Termination reason: Unknown
% 0.62/0.82  % (10550)Termination phase: Saturation
% 0.62/0.82  
% 0.62/0.82  % (10550)Memory used [KB]: 1575
% 0.62/0.82  % (10550)Time elapsed: 0.021 s
% 0.62/0.82  % (10550)Instructions burned: 35 (million)
% 0.62/0.82  % (10550)------------------------------
% 0.62/0.82  % (10550)------------------------------
% 0.62/0.82  % (10549)Refutation found. Thanks to Tanya!
% 0.62/0.82  % SZS status Theorem for Vampire---4
% 0.62/0.82  % SZS output start Proof for Vampire---4
% See solution above
% 0.62/0.83  % (10549)------------------------------
% 0.62/0.83  % (10549)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.62/0.83  % (10549)Termination reason: Refutation
% 0.62/0.83  
% 0.62/0.83  % (10549)Memory used [KB]: 1318
% 0.62/0.83  % (10549)Time elapsed: 0.021 s
% 0.62/0.83  % (10549)Instructions burned: 33 (million)
% 0.62/0.83  % (10549)------------------------------
% 0.62/0.83  % (10549)------------------------------
% 0.62/0.83  % (10488)Success in time 0.45 s
% 0.62/0.83  % Vampire---4.8 exiting
%------------------------------------------------------------------------------