TSTP Solution File: NUM481+3 by Vampire---4.8

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%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : NUM481+3 : TPTP v8.2.0. Released 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 : n009.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 01:42:34 EDT 2024

% Result   : Theorem 1.25s 1.03s
% Output   : Refutation 1.25s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   20
%            Number of leaves      :   22
% Syntax   : Number of formulae    :  145 (   7 unt;   0 def)
%            Number of atoms       :  857 ( 301 equ)
%            Maximal formula atoms :   48 (   5 avg)
%            Number of connectives : 1135 ( 423   ~; 449   |; 224   &)
%                                         (   9 <=>;  30  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   18 (   6 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :   18 (  16 usr;  10 prp; 0-2 aty)
%            Number of functors    :    7 (   7 usr;   3 con; 0-2 aty)
%            Number of variables   :  176 ( 129   !;  47   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f2179,plain,
    $false,
    inference(avatar_sat_refutation,[],[f359,f420,f521,f887,f889,f939,f1262,f2020,f2094,f2178]) ).

fof(f2178,plain,
    ( ~ spl10_1
    | ~ spl10_30 ),
    inference(avatar_contradiction_clause,[],[f2177]) ).

fof(f2177,plain,
    ( $false
    | ~ spl10_1
    | ~ spl10_30 ),
    inference(subsumption_resolution,[],[f2176,f248]) ).

fof(f248,plain,
    ( sP1(sK5)
    | ~ spl10_1 ),
    inference(avatar_component_clause,[],[f247]) ).

fof(f247,plain,
    ( spl10_1
  <=> sP1(sK5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl10_1])]) ).

fof(f2176,plain,
    ( ~ sP1(sK5)
    | ~ spl10_30 ),
    inference(subsumption_resolution,[],[f2175,f150]) ).

fof(f150,plain,
    sz00 != sK5,
    inference(cnf_transformation,[],[f122]) ).

fof(f122,plain,
    ( ! [X1] :
        ( sP1(X1)
        | ( ~ doDivides0(X1,sK5)
          & ! [X2] :
              ( sdtasdt0(X1,X2) != sK5
              | ~ aNaturalNumber0(X2) ) )
        | ~ aNaturalNumber0(X1) )
    & ! [X3] :
        ( ( isPrime0(sK6(X3))
          & ! [X5] :
              ( sK6(X3) = X5
              | sz10 = X5
              | ( ~ doDivides0(X5,sK6(X3))
                & ! [X6] :
                    ( sdtasdt0(X5,X6) != sK6(X3)
                    | ~ aNaturalNumber0(X6) ) )
              | ~ aNaturalNumber0(X5) )
          & sz10 != sK6(X3)
          & sz00 != sK6(X3)
          & doDivides0(sK6(X3),X3)
          & sP0(X3,sK6(X3))
          & aNaturalNumber0(sK6(X3)) )
        | ~ iLess0(X3,sK5)
        | sz10 = X3
        | sz00 = X3
        | ~ aNaturalNumber0(X3) )
    & sz10 != sK5
    & sz00 != sK5
    & aNaturalNumber0(sK5) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK5,sK6])],[f119,f121,f120]) ).

fof(f120,plain,
    ( ? [X0] :
        ( ! [X1] :
            ( sP1(X1)
            | ( ~ doDivides0(X1,X0)
              & ! [X2] :
                  ( sdtasdt0(X1,X2) != X0
                  | ~ aNaturalNumber0(X2) ) )
            | ~ aNaturalNumber0(X1) )
        & ! [X3] :
            ( ? [X4] :
                ( isPrime0(X4)
                & ! [X5] :
                    ( X4 = X5
                    | sz10 = X5
                    | ( ~ doDivides0(X5,X4)
                      & ! [X6] :
                          ( sdtasdt0(X5,X6) != X4
                          | ~ aNaturalNumber0(X6) ) )
                    | ~ aNaturalNumber0(X5) )
                & sz10 != X4
                & sz00 != X4
                & doDivides0(X4,X3)
                & sP0(X3,X4)
                & aNaturalNumber0(X4) )
            | ~ iLess0(X3,X0)
            | sz10 = X3
            | sz00 = X3
            | ~ aNaturalNumber0(X3) )
        & sz10 != X0
        & sz00 != X0
        & aNaturalNumber0(X0) )
   => ( ! [X1] :
          ( sP1(X1)
          | ( ~ doDivides0(X1,sK5)
            & ! [X2] :
                ( sdtasdt0(X1,X2) != sK5
                | ~ aNaturalNumber0(X2) ) )
          | ~ aNaturalNumber0(X1) )
      & ! [X3] :
          ( ? [X4] :
              ( isPrime0(X4)
              & ! [X5] :
                  ( X4 = X5
                  | sz10 = X5
                  | ( ~ doDivides0(X5,X4)
                    & ! [X6] :
                        ( sdtasdt0(X5,X6) != X4
                        | ~ aNaturalNumber0(X6) ) )
                  | ~ aNaturalNumber0(X5) )
              & sz10 != X4
              & sz00 != X4
              & doDivides0(X4,X3)
              & sP0(X3,X4)
              & aNaturalNumber0(X4) )
          | ~ iLess0(X3,sK5)
          | sz10 = X3
          | sz00 = X3
          | ~ aNaturalNumber0(X3) )
      & sz10 != sK5
      & sz00 != sK5
      & aNaturalNumber0(sK5) ) ),
    introduced(choice_axiom,[]) ).

fof(f121,plain,
    ! [X3] :
      ( ? [X4] :
          ( isPrime0(X4)
          & ! [X5] :
              ( X4 = X5
              | sz10 = X5
              | ( ~ doDivides0(X5,X4)
                & ! [X6] :
                    ( sdtasdt0(X5,X6) != X4
                    | ~ aNaturalNumber0(X6) ) )
              | ~ aNaturalNumber0(X5) )
          & sz10 != X4
          & sz00 != X4
          & doDivides0(X4,X3)
          & sP0(X3,X4)
          & aNaturalNumber0(X4) )
     => ( isPrime0(sK6(X3))
        & ! [X5] :
            ( sK6(X3) = X5
            | sz10 = X5
            | ( ~ doDivides0(X5,sK6(X3))
              & ! [X6] :
                  ( sdtasdt0(X5,X6) != sK6(X3)
                  | ~ aNaturalNumber0(X6) ) )
            | ~ aNaturalNumber0(X5) )
        & sz10 != sK6(X3)
        & sz00 != sK6(X3)
        & doDivides0(sK6(X3),X3)
        & sP0(X3,sK6(X3))
        & aNaturalNumber0(sK6(X3)) ) ),
    introduced(choice_axiom,[]) ).

fof(f119,plain,
    ? [X0] :
      ( ! [X1] :
          ( sP1(X1)
          | ( ~ doDivides0(X1,X0)
            & ! [X2] :
                ( sdtasdt0(X1,X2) != X0
                | ~ aNaturalNumber0(X2) ) )
          | ~ aNaturalNumber0(X1) )
      & ! [X3] :
          ( ? [X4] :
              ( isPrime0(X4)
              & ! [X5] :
                  ( X4 = X5
                  | sz10 = X5
                  | ( ~ doDivides0(X5,X4)
                    & ! [X6] :
                        ( sdtasdt0(X5,X6) != X4
                        | ~ aNaturalNumber0(X6) ) )
                  | ~ aNaturalNumber0(X5) )
              & sz10 != X4
              & sz00 != X4
              & doDivides0(X4,X3)
              & sP0(X3,X4)
              & aNaturalNumber0(X4) )
          | ~ iLess0(X3,X0)
          | sz10 = X3
          | sz00 = X3
          | ~ aNaturalNumber0(X3) )
      & sz10 != X0
      & sz00 != X0
      & aNaturalNumber0(X0) ),
    inference(rectify,[],[f109]) ).

fof(f109,plain,
    ? [X0] :
      ( ! [X6] :
          ( sP1(X6)
          | ( ~ doDivides0(X6,X0)
            & ! [X9] :
                ( sdtasdt0(X6,X9) != X0
                | ~ aNaturalNumber0(X9) ) )
          | ~ aNaturalNumber0(X6) )
      & ! [X1] :
          ( ? [X2] :
              ( isPrime0(X2)
              & ! [X3] :
                  ( X2 = X3
                  | sz10 = X3
                  | ( ~ doDivides0(X3,X2)
                    & ! [X4] :
                        ( sdtasdt0(X3,X4) != X2
                        | ~ aNaturalNumber0(X4) ) )
                  | ~ aNaturalNumber0(X3) )
              & sz10 != X2
              & sz00 != X2
              & doDivides0(X2,X1)
              & sP0(X1,X2)
              & aNaturalNumber0(X2) )
          | ~ iLess0(X1,X0)
          | sz10 = X1
          | sz00 = X1
          | ~ aNaturalNumber0(X1) )
      & sz10 != X0
      & sz00 != X0
      & aNaturalNumber0(X0) ),
    inference(definition_folding,[],[f44,f108,f107]) ).

fof(f107,plain,
    ! [X1,X2] :
      ( ? [X5] :
          ( sdtasdt0(X2,X5) = X1
          & aNaturalNumber0(X5) )
      | ~ sP0(X1,X2) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).

fof(f108,plain,
    ! [X6] :
      ( ( ~ isPrime0(X6)
        & ( ? [X7] :
              ( X6 != X7
              & sz10 != X7
              & doDivides0(X7,X6)
              & ? [X8] :
                  ( sdtasdt0(X7,X8) = X6
                  & aNaturalNumber0(X8) )
              & aNaturalNumber0(X7) )
          | sz10 = X6
          | sz00 = X6 ) )
      | ~ sP1(X6) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).

fof(f44,plain,
    ? [X0] :
      ( ! [X6] :
          ( ( ~ isPrime0(X6)
            & ( ? [X7] :
                  ( X6 != X7
                  & sz10 != X7
                  & doDivides0(X7,X6)
                  & ? [X8] :
                      ( sdtasdt0(X7,X8) = X6
                      & aNaturalNumber0(X8) )
                  & aNaturalNumber0(X7) )
              | sz10 = X6
              | sz00 = X6 ) )
          | ( ~ doDivides0(X6,X0)
            & ! [X9] :
                ( sdtasdt0(X6,X9) != X0
                | ~ aNaturalNumber0(X9) ) )
          | ~ aNaturalNumber0(X6) )
      & ! [X1] :
          ( ? [X2] :
              ( isPrime0(X2)
              & ! [X3] :
                  ( X2 = X3
                  | sz10 = X3
                  | ( ~ doDivides0(X3,X2)
                    & ! [X4] :
                        ( sdtasdt0(X3,X4) != X2
                        | ~ aNaturalNumber0(X4) ) )
                  | ~ aNaturalNumber0(X3) )
              & sz10 != X2
              & sz00 != X2
              & doDivides0(X2,X1)
              & ? [X5] :
                  ( sdtasdt0(X2,X5) = X1
                  & aNaturalNumber0(X5) )
              & aNaturalNumber0(X2) )
          | ~ iLess0(X1,X0)
          | sz10 = X1
          | sz00 = X1
          | ~ aNaturalNumber0(X1) )
      & sz10 != X0
      & sz00 != X0
      & aNaturalNumber0(X0) ),
    inference(flattening,[],[f43]) ).

fof(f43,plain,
    ? [X0] :
      ( ! [X6] :
          ( ( ~ isPrime0(X6)
            & ( ? [X7] :
                  ( X6 != X7
                  & sz10 != X7
                  & doDivides0(X7,X6)
                  & ? [X8] :
                      ( sdtasdt0(X7,X8) = X6
                      & aNaturalNumber0(X8) )
                  & aNaturalNumber0(X7) )
              | sz10 = X6
              | sz00 = X6 ) )
          | ( ~ doDivides0(X6,X0)
            & ! [X9] :
                ( sdtasdt0(X6,X9) != X0
                | ~ aNaturalNumber0(X9) ) )
          | ~ aNaturalNumber0(X6) )
      & ! [X1] :
          ( ? [X2] :
              ( isPrime0(X2)
              & ! [X3] :
                  ( X2 = X3
                  | sz10 = X3
                  | ( ~ doDivides0(X3,X2)
                    & ! [X4] :
                        ( sdtasdt0(X3,X4) != X2
                        | ~ aNaturalNumber0(X4) ) )
                  | ~ aNaturalNumber0(X3) )
              & sz10 != X2
              & sz00 != X2
              & doDivides0(X2,X1)
              & ? [X5] :
                  ( sdtasdt0(X2,X5) = X1
                  & aNaturalNumber0(X5) )
              & aNaturalNumber0(X2) )
          | ~ iLess0(X1,X0)
          | sz10 = X1
          | sz00 = X1
          | ~ aNaturalNumber0(X1) )
      & sz10 != X0
      & sz00 != X0
      & aNaturalNumber0(X0) ),
    inference(ennf_transformation,[],[f40]) ).

fof(f40,plain,
    ~ ! [X0] :
        ( ( sz10 != X0
          & sz00 != X0
          & aNaturalNumber0(X0) )
       => ( ! [X1] :
              ( ( sz10 != X1
                & sz00 != X1
                & aNaturalNumber0(X1) )
             => ( iLess0(X1,X0)
               => ? [X2] :
                    ( isPrime0(X2)
                    & ! [X3] :
                        ( ( ( doDivides0(X3,X2)
                            | ? [X4] :
                                ( sdtasdt0(X3,X4) = X2
                                & aNaturalNumber0(X4) ) )
                          & aNaturalNumber0(X3) )
                       => ( X2 = X3
                          | sz10 = X3 ) )
                    & sz10 != X2
                    & sz00 != X2
                    & doDivides0(X2,X1)
                    & ? [X5] :
                        ( sdtasdt0(X2,X5) = X1
                        & aNaturalNumber0(X5) )
                    & aNaturalNumber0(X2) ) ) )
         => ? [X6] :
              ( ( isPrime0(X6)
                | ( ! [X7] :
                      ( ( doDivides0(X7,X6)
                        & ? [X8] :
                            ( sdtasdt0(X7,X8) = X6
                            & aNaturalNumber0(X8) )
                        & aNaturalNumber0(X7) )
                     => ( X6 = X7
                        | sz10 = X7 ) )
                  & sz10 != X6
                  & sz00 != X6 ) )
              & ( doDivides0(X6,X0)
                | ? [X9] :
                    ( sdtasdt0(X6,X9) = X0
                    & aNaturalNumber0(X9) ) )
              & aNaturalNumber0(X6) ) ) ),
    inference(rectify,[],[f39]) ).

fof(f39,negated_conjecture,
    ~ ! [X0] :
        ( ( sz10 != X0
          & sz00 != X0
          & aNaturalNumber0(X0) )
       => ( ! [X1] :
              ( ( sz10 != X1
                & sz00 != X1
                & aNaturalNumber0(X1) )
             => ( iLess0(X1,X0)
               => ? [X2] :
                    ( isPrime0(X2)
                    & ! [X3] :
                        ( ( ( doDivides0(X3,X2)
                            | ? [X4] :
                                ( sdtasdt0(X3,X4) = X2
                                & aNaturalNumber0(X4) ) )
                          & aNaturalNumber0(X3) )
                       => ( X2 = X3
                          | sz10 = X3 ) )
                    & sz10 != X2
                    & sz00 != X2
                    & doDivides0(X2,X1)
                    & ? [X3] :
                        ( sdtasdt0(X2,X3) = X1
                        & aNaturalNumber0(X3) )
                    & aNaturalNumber0(X2) ) ) )
         => ? [X1] :
              ( ( isPrime0(X1)
                | ( ! [X2] :
                      ( ( doDivides0(X2,X1)
                        & ? [X3] :
                            ( sdtasdt0(X2,X3) = X1
                            & aNaturalNumber0(X3) )
                        & aNaturalNumber0(X2) )
                     => ( X1 = X2
                        | sz10 = X2 ) )
                  & sz10 != X1
                  & sz00 != X1 ) )
              & ( doDivides0(X1,X0)
                | ? [X2] :
                    ( sdtasdt0(X1,X2) = X0
                    & aNaturalNumber0(X2) ) )
              & aNaturalNumber0(X1) ) ) ),
    inference(negated_conjecture,[],[f38]) ).

fof(f38,conjecture,
    ! [X0] :
      ( ( sz10 != X0
        & sz00 != X0
        & aNaturalNumber0(X0) )
     => ( ! [X1] :
            ( ( sz10 != X1
              & sz00 != X1
              & aNaturalNumber0(X1) )
           => ( iLess0(X1,X0)
             => ? [X2] :
                  ( isPrime0(X2)
                  & ! [X3] :
                      ( ( ( doDivides0(X3,X2)
                          | ? [X4] :
                              ( sdtasdt0(X3,X4) = X2
                              & aNaturalNumber0(X4) ) )
                        & aNaturalNumber0(X3) )
                     => ( X2 = X3
                        | sz10 = X3 ) )
                  & sz10 != X2
                  & sz00 != X2
                  & doDivides0(X2,X1)
                  & ? [X3] :
                      ( sdtasdt0(X2,X3) = X1
                      & aNaturalNumber0(X3) )
                  & aNaturalNumber0(X2) ) ) )
       => ? [X1] :
            ( ( isPrime0(X1)
              | ( ! [X2] :
                    ( ( doDivides0(X2,X1)
                      & ? [X3] :
                          ( sdtasdt0(X2,X3) = X1
                          & aNaturalNumber0(X3) )
                      & aNaturalNumber0(X2) )
                   => ( X1 = X2
                      | sz10 = X2 ) )
                & sz10 != X1
                & sz00 != X1 ) )
            & ( doDivides0(X1,X0)
              | ? [X2] :
                  ( sdtasdt0(X1,X2) = X0
                  & aNaturalNumber0(X2) ) )
            & aNaturalNumber0(X1) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).

fof(f2175,plain,
    ( sz00 = sK5
    | ~ sP1(sK5)
    | ~ spl10_30 ),
    inference(subsumption_resolution,[],[f2165,f151]) ).

fof(f151,plain,
    sz10 != sK5,
    inference(cnf_transformation,[],[f122]) ).

fof(f2165,plain,
    ( sz10 = sK5
    | sz00 = sK5
    | ~ sP1(sK5)
    | ~ spl10_30 ),
    inference(trivial_inequality_removal,[],[f2164]) ).

fof(f2164,plain,
    ( sK5 != sK5
    | sz10 = sK5
    | sz00 = sK5
    | ~ sP1(sK5)
    | ~ spl10_30 ),
    inference(superposition,[],[f145,f1257]) ).

fof(f1257,plain,
    ( sK5 = sK2(sK5)
    | ~ spl10_30 ),
    inference(avatar_component_clause,[],[f1255]) ).

fof(f1255,plain,
    ( spl10_30
  <=> sK5 = sK2(sK5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl10_30])]) ).

fof(f145,plain,
    ! [X0] :
      ( sK2(X0) != X0
      | sz10 = X0
      | sz00 = X0
      | ~ sP1(X0) ),
    inference(cnf_transformation,[],[f114]) ).

fof(f114,plain,
    ! [X0] :
      ( ( ~ isPrime0(X0)
        & ( ( sK2(X0) != X0
            & sz10 != sK2(X0)
            & doDivides0(sK2(X0),X0)
            & sdtasdt0(sK2(X0),sK3(X0)) = X0
            & aNaturalNumber0(sK3(X0))
            & aNaturalNumber0(sK2(X0)) )
          | sz10 = X0
          | sz00 = X0 ) )
      | ~ sP1(X0) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK2,sK3])],[f111,f113,f112]) ).

fof(f112,plain,
    ! [X0] :
      ( ? [X1] :
          ( X0 != X1
          & sz10 != X1
          & doDivides0(X1,X0)
          & ? [X2] :
              ( sdtasdt0(X1,X2) = X0
              & aNaturalNumber0(X2) )
          & aNaturalNumber0(X1) )
     => ( sK2(X0) != X0
        & sz10 != sK2(X0)
        & doDivides0(sK2(X0),X0)
        & ? [X2] :
            ( sdtasdt0(sK2(X0),X2) = X0
            & aNaturalNumber0(X2) )
        & aNaturalNumber0(sK2(X0)) ) ),
    introduced(choice_axiom,[]) ).

fof(f113,plain,
    ! [X0] :
      ( ? [X2] :
          ( sdtasdt0(sK2(X0),X2) = X0
          & aNaturalNumber0(X2) )
     => ( sdtasdt0(sK2(X0),sK3(X0)) = X0
        & aNaturalNumber0(sK3(X0)) ) ),
    introduced(choice_axiom,[]) ).

fof(f111,plain,
    ! [X0] :
      ( ( ~ isPrime0(X0)
        & ( ? [X1] :
              ( X0 != X1
              & sz10 != X1
              & doDivides0(X1,X0)
              & ? [X2] :
                  ( sdtasdt0(X1,X2) = X0
                  & aNaturalNumber0(X2) )
              & aNaturalNumber0(X1) )
          | sz10 = X0
          | sz00 = X0 ) )
      | ~ sP1(X0) ),
    inference(rectify,[],[f110]) ).

fof(f110,plain,
    ! [X6] :
      ( ( ~ isPrime0(X6)
        & ( ? [X7] :
              ( X6 != X7
              & sz10 != X7
              & doDivides0(X7,X6)
              & ? [X8] :
                  ( sdtasdt0(X7,X8) = X6
                  & aNaturalNumber0(X8) )
              & aNaturalNumber0(X7) )
          | sz10 = X6
          | sz00 = X6 ) )
      | ~ sP1(X6) ),
    inference(nnf_transformation,[],[f108]) ).

fof(f2094,plain,
    ( ~ spl10_2
    | spl10_12
    | spl10_13
    | ~ spl10_18
    | ~ spl10_20 ),
    inference(avatar_contradiction_clause,[],[f2090]) ).

fof(f2090,plain,
    ( $false
    | ~ spl10_2
    | spl10_12
    | spl10_13
    | ~ spl10_18
    | ~ spl10_20 ),
    inference(unit_resulting_resolution,[],[f252,f511,f482,f486,f520,f369]) ).

fof(f369,plain,
    ! [X0] :
      ( ~ sP1(sK6(X0))
      | sz10 = X0
      | sz00 = X0
      | ~ aNaturalNumber0(X0)
      | ~ iLess0(X0,sK5) ),
    inference(subsumption_resolution,[],[f368,f155]) ).

fof(f155,plain,
    ! [X3] :
      ( sz00 != sK6(X3)
      | ~ iLess0(X3,sK5)
      | sz10 = X3
      | sz00 = X3
      | ~ aNaturalNumber0(X3) ),
    inference(cnf_transformation,[],[f122]) ).

fof(f368,plain,
    ! [X0] :
      ( ~ iLess0(X0,sK5)
      | sz10 = X0
      | sz00 = X0
      | ~ aNaturalNumber0(X0)
      | sz00 = sK6(X0)
      | ~ sP1(sK6(X0)) ),
    inference(subsumption_resolution,[],[f367,f156]) ).

fof(f156,plain,
    ! [X3] :
      ( sz10 != sK6(X3)
      | ~ iLess0(X3,sK5)
      | sz10 = X3
      | sz00 = X3
      | ~ aNaturalNumber0(X3) ),
    inference(cnf_transformation,[],[f122]) ).

fof(f367,plain,
    ! [X0] :
      ( ~ iLess0(X0,sK5)
      | sz10 = X0
      | sz00 = X0
      | ~ aNaturalNumber0(X0)
      | sz10 = sK6(X0)
      | sz00 = sK6(X0)
      | ~ sP1(sK6(X0)) ),
    inference(subsumption_resolution,[],[f366,f140]) ).

fof(f140,plain,
    ! [X0] :
      ( aNaturalNumber0(sK2(X0))
      | sz10 = X0
      | sz00 = X0
      | ~ sP1(X0) ),
    inference(cnf_transformation,[],[f114]) ).

fof(f366,plain,
    ! [X0] :
      ( ~ aNaturalNumber0(sK2(sK6(X0)))
      | ~ iLess0(X0,sK5)
      | sz10 = X0
      | sz00 = X0
      | ~ aNaturalNumber0(X0)
      | sz10 = sK6(X0)
      | sz00 = sK6(X0)
      | ~ sP1(sK6(X0)) ),
    inference(subsumption_resolution,[],[f365,f145]) ).

fof(f365,plain,
    ! [X0] :
      ( sK6(X0) = sK2(sK6(X0))
      | ~ aNaturalNumber0(sK2(sK6(X0)))
      | ~ iLess0(X0,sK5)
      | sz10 = X0
      | sz00 = X0
      | ~ aNaturalNumber0(X0)
      | sz10 = sK6(X0)
      | sz00 = sK6(X0)
      | ~ sP1(sK6(X0)) ),
    inference(subsumption_resolution,[],[f360,f144]) ).

fof(f144,plain,
    ! [X0] :
      ( sz10 != sK2(X0)
      | sz10 = X0
      | sz00 = X0
      | ~ sP1(X0) ),
    inference(cnf_transformation,[],[f114]) ).

fof(f360,plain,
    ! [X0] :
      ( sz10 = sK2(sK6(X0))
      | sK6(X0) = sK2(sK6(X0))
      | ~ aNaturalNumber0(sK2(sK6(X0)))
      | ~ iLess0(X0,sK5)
      | sz10 = X0
      | sz00 = X0
      | ~ aNaturalNumber0(X0)
      | sz10 = sK6(X0)
      | sz00 = sK6(X0)
      | ~ sP1(sK6(X0)) ),
    inference(resolution,[],[f158,f143]) ).

fof(f143,plain,
    ! [X0] :
      ( doDivides0(sK2(X0),X0)
      | sz10 = X0
      | sz00 = X0
      | ~ sP1(X0) ),
    inference(cnf_transformation,[],[f114]) ).

fof(f158,plain,
    ! [X3,X5] :
      ( ~ doDivides0(X5,sK6(X3))
      | sz10 = X5
      | sK6(X3) = X5
      | ~ aNaturalNumber0(X5)
      | ~ iLess0(X3,sK5)
      | sz10 = X3
      | sz00 = X3
      | ~ aNaturalNumber0(X3) ),
    inference(cnf_transformation,[],[f122]) ).

fof(f520,plain,
    ( sP1(sK6(sK2(sK5)))
    | ~ spl10_20 ),
    inference(avatar_component_clause,[],[f518]) ).

fof(f518,plain,
    ( spl10_20
  <=> sP1(sK6(sK2(sK5))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl10_20])]) ).

fof(f486,plain,
    ( sz10 != sK2(sK5)
    | spl10_13 ),
    inference(avatar_component_clause,[],[f485]) ).

fof(f485,plain,
    ( spl10_13
  <=> sz10 = sK2(sK5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl10_13])]) ).

fof(f482,plain,
    ( sz00 != sK2(sK5)
    | spl10_12 ),
    inference(avatar_component_clause,[],[f481]) ).

fof(f481,plain,
    ( spl10_12
  <=> sz00 = sK2(sK5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl10_12])]) ).

fof(f511,plain,
    ( iLess0(sK2(sK5),sK5)
    | ~ spl10_18 ),
    inference(avatar_component_clause,[],[f510]) ).

fof(f510,plain,
    ( spl10_18
  <=> iLess0(sK2(sK5),sK5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl10_18])]) ).

fof(f252,plain,
    ( aNaturalNumber0(sK2(sK5))
    | ~ spl10_2 ),
    inference(avatar_component_clause,[],[f251]) ).

fof(f251,plain,
    ( spl10_2
  <=> aNaturalNumber0(sK2(sK5)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl10_2])]) ).

fof(f2020,plain,
    ( ~ spl10_1
    | ~ spl10_2
    | spl10_31 ),
    inference(avatar_contradiction_clause,[],[f2019]) ).

fof(f2019,plain,
    ( $false
    | ~ spl10_1
    | ~ spl10_2
    | spl10_31 ),
    inference(subsumption_resolution,[],[f2018,f248]) ).

fof(f2018,plain,
    ( ~ sP1(sK5)
    | ~ spl10_2
    | spl10_31 ),
    inference(subsumption_resolution,[],[f2017,f150]) ).

fof(f2017,plain,
    ( sz00 = sK5
    | ~ sP1(sK5)
    | ~ spl10_2
    | spl10_31 ),
    inference(subsumption_resolution,[],[f2014,f151]) ).

fof(f2014,plain,
    ( sz10 = sK5
    | sz00 = sK5
    | ~ sP1(sK5)
    | ~ spl10_2
    | spl10_31 ),
    inference(resolution,[],[f1862,f143]) ).

fof(f1862,plain,
    ( ~ doDivides0(sK2(sK5),sK5)
    | ~ spl10_2
    | spl10_31 ),
    inference(subsumption_resolution,[],[f1861,f252]) ).

fof(f1861,plain,
    ( ~ doDivides0(sK2(sK5),sK5)
    | ~ aNaturalNumber0(sK2(sK5))
    | spl10_31 ),
    inference(subsumption_resolution,[],[f1860,f149]) ).

fof(f149,plain,
    aNaturalNumber0(sK5),
    inference(cnf_transformation,[],[f122]) ).

fof(f1860,plain,
    ( ~ doDivides0(sK2(sK5),sK5)
    | ~ aNaturalNumber0(sK5)
    | ~ aNaturalNumber0(sK2(sK5))
    | spl10_31 ),
    inference(subsumption_resolution,[],[f1855,f150]) ).

fof(f1855,plain,
    ( sz00 = sK5
    | ~ doDivides0(sK2(sK5),sK5)
    | ~ aNaturalNumber0(sK5)
    | ~ aNaturalNumber0(sK2(sK5))
    | spl10_31 ),
    inference(resolution,[],[f1261,f170]) ).

fof(f170,plain,
    ! [X0,X1] :
      ( sdtlseqdt0(X0,X1)
      | sz00 = X1
      | ~ doDivides0(X0,X1)
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(cnf_transformation,[],[f50]) ).

fof(f50,plain,
    ! [X0,X1] :
      ( sdtlseqdt0(X0,X1)
      | sz00 = X1
      | ~ doDivides0(X0,X1)
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(flattening,[],[f49]) ).

fof(f49,plain,
    ! [X0,X1] :
      ( sdtlseqdt0(X0,X1)
      | sz00 = X1
      | ~ doDivides0(X0,X1)
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(ennf_transformation,[],[f35]) ).

fof(f35,axiom,
    ! [X0,X1] :
      ( ( aNaturalNumber0(X1)
        & aNaturalNumber0(X0) )
     => ( ( sz00 != X1
          & doDivides0(X0,X1) )
       => sdtlseqdt0(X0,X1) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDivLE) ).

fof(f1261,plain,
    ( ~ sdtlseqdt0(sK2(sK5),sK5)
    | spl10_31 ),
    inference(avatar_component_clause,[],[f1259]) ).

fof(f1259,plain,
    ( spl10_31
  <=> sdtlseqdt0(sK2(sK5),sK5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl10_31])]) ).

fof(f1262,plain,
    ( spl10_30
    | ~ spl10_31
    | ~ spl10_2
    | spl10_18 ),
    inference(avatar_split_clause,[],[f1253,f510,f251,f1259,f1255]) ).

fof(f1253,plain,
    ( ~ sdtlseqdt0(sK2(sK5),sK5)
    | sK5 = sK2(sK5)
    | ~ spl10_2
    | spl10_18 ),
    inference(subsumption_resolution,[],[f1252,f252]) ).

fof(f1252,plain,
    ( ~ sdtlseqdt0(sK2(sK5),sK5)
    | sK5 = sK2(sK5)
    | ~ aNaturalNumber0(sK2(sK5))
    | spl10_18 ),
    inference(subsumption_resolution,[],[f1251,f149]) ).

fof(f1251,plain,
    ( ~ sdtlseqdt0(sK2(sK5),sK5)
    | sK5 = sK2(sK5)
    | ~ aNaturalNumber0(sK5)
    | ~ aNaturalNumber0(sK2(sK5))
    | spl10_18 ),
    inference(resolution,[],[f512,f195]) ).

fof(f195,plain,
    ! [X0,X1] :
      ( iLess0(X0,X1)
      | ~ sdtlseqdt0(X0,X1)
      | X0 = X1
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(cnf_transformation,[],[f69]) ).

fof(f69,plain,
    ! [X0,X1] :
      ( iLess0(X0,X1)
      | ~ sdtlseqdt0(X0,X1)
      | X0 = X1
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(flattening,[],[f68]) ).

fof(f68,plain,
    ! [X0,X1] :
      ( iLess0(X0,X1)
      | ~ sdtlseqdt0(X0,X1)
      | X0 = X1
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(ennf_transformation,[],[f29]) ).

fof(f29,axiom,
    ! [X0,X1] :
      ( ( aNaturalNumber0(X1)
        & aNaturalNumber0(X0) )
     => ( ( sdtlseqdt0(X0,X1)
          & X0 != X1 )
       => iLess0(X0,X1) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mIH_03) ).

fof(f512,plain,
    ( ~ iLess0(sK2(sK5),sK5)
    | spl10_18 ),
    inference(avatar_component_clause,[],[f510]) ).

fof(f939,plain,
    ( ~ spl10_1
    | ~ spl10_13 ),
    inference(avatar_contradiction_clause,[],[f938]) ).

fof(f938,plain,
    ( $false
    | ~ spl10_1
    | ~ spl10_13 ),
    inference(subsumption_resolution,[],[f937,f248]) ).

fof(f937,plain,
    ( ~ sP1(sK5)
    | ~ spl10_13 ),
    inference(subsumption_resolution,[],[f936,f150]) ).

fof(f936,plain,
    ( sz00 = sK5
    | ~ sP1(sK5)
    | ~ spl10_13 ),
    inference(subsumption_resolution,[],[f928,f151]) ).

fof(f928,plain,
    ( sz10 = sK5
    | sz00 = sK5
    | ~ sP1(sK5)
    | ~ spl10_13 ),
    inference(trivial_inequality_removal,[],[f926]) ).

fof(f926,plain,
    ( sz10 != sz10
    | sz10 = sK5
    | sz00 = sK5
    | ~ sP1(sK5)
    | ~ spl10_13 ),
    inference(superposition,[],[f144,f487]) ).

fof(f487,plain,
    ( sz10 = sK2(sK5)
    | ~ spl10_13 ),
    inference(avatar_component_clause,[],[f485]) ).

fof(f889,plain,
    ( spl10_12
    | spl10_13
    | ~ spl10_18
    | ~ spl10_2
    | spl10_19 ),
    inference(avatar_split_clause,[],[f888,f514,f251,f510,f485,f481]) ).

fof(f514,plain,
    ( spl10_19
  <=> aNaturalNumber0(sK6(sK2(sK5))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl10_19])]) ).

fof(f888,plain,
    ( ~ iLess0(sK2(sK5),sK5)
    | sz10 = sK2(sK5)
    | sz00 = sK2(sK5)
    | ~ spl10_2
    | spl10_19 ),
    inference(subsumption_resolution,[],[f797,f252]) ).

fof(f797,plain,
    ( ~ iLess0(sK2(sK5),sK5)
    | sz10 = sK2(sK5)
    | sz00 = sK2(sK5)
    | ~ aNaturalNumber0(sK2(sK5))
    | spl10_19 ),
    inference(resolution,[],[f516,f152]) ).

fof(f152,plain,
    ! [X3] :
      ( aNaturalNumber0(sK6(X3))
      | ~ iLess0(X3,sK5)
      | sz10 = X3
      | sz00 = X3
      | ~ aNaturalNumber0(X3) ),
    inference(cnf_transformation,[],[f122]) ).

fof(f516,plain,
    ( ~ aNaturalNumber0(sK6(sK2(sK5)))
    | spl10_19 ),
    inference(avatar_component_clause,[],[f514]) ).

fof(f887,plain,
    ( ~ spl10_1
    | ~ spl10_12 ),
    inference(avatar_contradiction_clause,[],[f886]) ).

fof(f886,plain,
    ( $false
    | ~ spl10_1
    | ~ spl10_12 ),
    inference(subsumption_resolution,[],[f885,f248]) ).

fof(f885,plain,
    ( ~ sP1(sK5)
    | ~ spl10_1
    | ~ spl10_12 ),
    inference(subsumption_resolution,[],[f884,f150]) ).

fof(f884,plain,
    ( sz00 = sK5
    | ~ sP1(sK5)
    | ~ spl10_1
    | ~ spl10_12 ),
    inference(subsumption_resolution,[],[f882,f151]) ).

fof(f882,plain,
    ( sz10 = sK5
    | sz00 = sK5
    | ~ sP1(sK5)
    | ~ spl10_1
    | ~ spl10_12 ),
    inference(resolution,[],[f875,f141]) ).

fof(f141,plain,
    ! [X0] :
      ( aNaturalNumber0(sK3(X0))
      | sz10 = X0
      | sz00 = X0
      | ~ sP1(X0) ),
    inference(cnf_transformation,[],[f114]) ).

fof(f875,plain,
    ( ~ aNaturalNumber0(sK3(sK5))
    | ~ spl10_1
    | ~ spl10_12 ),
    inference(subsumption_resolution,[],[f843,f150]) ).

fof(f843,plain,
    ( sz00 = sK5
    | ~ aNaturalNumber0(sK3(sK5))
    | ~ spl10_1
    | ~ spl10_12 ),
    inference(superposition,[],[f540,f187]) ).

fof(f187,plain,
    ! [X0] :
      ( sz00 = sdtasdt0(sz00,X0)
      | ~ aNaturalNumber0(X0) ),
    inference(cnf_transformation,[],[f65]) ).

fof(f65,plain,
    ! [X0] :
      ( ( sz00 = sdtasdt0(sz00,X0)
        & sz00 = sdtasdt0(X0,sz00) )
      | ~ aNaturalNumber0(X0) ),
    inference(ennf_transformation,[],[f12]) ).

fof(f12,axiom,
    ! [X0] :
      ( aNaturalNumber0(X0)
     => ( sz00 = sdtasdt0(sz00,X0)
        & sz00 = sdtasdt0(X0,sz00) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m_MulZero) ).

fof(f540,plain,
    ( sK5 = sdtasdt0(sz00,sK3(sK5))
    | ~ spl10_1
    | ~ spl10_12 ),
    inference(subsumption_resolution,[],[f539,f248]) ).

fof(f539,plain,
    ( sK5 = sdtasdt0(sz00,sK3(sK5))
    | ~ sP1(sK5)
    | ~ spl10_12 ),
    inference(subsumption_resolution,[],[f538,f150]) ).

fof(f538,plain,
    ( sK5 = sdtasdt0(sz00,sK3(sK5))
    | sz00 = sK5
    | ~ sP1(sK5)
    | ~ spl10_12 ),
    inference(subsumption_resolution,[],[f534,f151]) ).

fof(f534,plain,
    ( sK5 = sdtasdt0(sz00,sK3(sK5))
    | sz10 = sK5
    | sz00 = sK5
    | ~ sP1(sK5)
    | ~ spl10_12 ),
    inference(superposition,[],[f142,f483]) ).

fof(f483,plain,
    ( sz00 = sK2(sK5)
    | ~ spl10_12 ),
    inference(avatar_component_clause,[],[f481]) ).

fof(f142,plain,
    ! [X0] :
      ( sdtasdt0(sK2(X0),sK3(X0)) = X0
      | sz10 = X0
      | sz00 = X0
      | ~ sP1(X0) ),
    inference(cnf_transformation,[],[f114]) ).

fof(f521,plain,
    ( spl10_12
    | spl10_13
    | ~ spl10_18
    | ~ spl10_19
    | spl10_20
    | ~ spl10_1
    | ~ spl10_2 ),
    inference(avatar_split_clause,[],[f508,f251,f247,f518,f514,f510,f485,f481]) ).

fof(f508,plain,
    ( sP1(sK6(sK2(sK5)))
    | ~ aNaturalNumber0(sK6(sK2(sK5)))
    | ~ iLess0(sK2(sK5),sK5)
    | sz10 = sK2(sK5)
    | sz00 = sK2(sK5)
    | ~ spl10_1
    | ~ spl10_2 ),
    inference(subsumption_resolution,[],[f476,f252]) ).

fof(f476,plain,
    ( sP1(sK6(sK2(sK5)))
    | ~ aNaturalNumber0(sK6(sK2(sK5)))
    | ~ iLess0(sK2(sK5),sK5)
    | sz10 = sK2(sK5)
    | sz00 = sK2(sK5)
    | ~ aNaturalNumber0(sK2(sK5))
    | ~ spl10_1
    | ~ spl10_2 ),
    inference(resolution,[],[f467,f154]) ).

fof(f154,plain,
    ! [X3] :
      ( doDivides0(sK6(X3),X3)
      | ~ iLess0(X3,sK5)
      | sz10 = X3
      | sz00 = X3
      | ~ aNaturalNumber0(X3) ),
    inference(cnf_transformation,[],[f122]) ).

fof(f467,plain,
    ( ! [X0] :
        ( ~ doDivides0(X0,sK2(sK5))
        | sP1(X0)
        | ~ aNaturalNumber0(X0) )
    | ~ spl10_1
    | ~ spl10_2 ),
    inference(subsumption_resolution,[],[f466,f248]) ).

fof(f466,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sP1(X0)
        | ~ doDivides0(X0,sK2(sK5))
        | ~ sP1(sK5) )
    | ~ spl10_2 ),
    inference(subsumption_resolution,[],[f465,f150]) ).

fof(f465,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sP1(X0)
        | ~ doDivides0(X0,sK2(sK5))
        | sz00 = sK5
        | ~ sP1(sK5) )
    | ~ spl10_2 ),
    inference(subsumption_resolution,[],[f464,f151]) ).

fof(f464,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sP1(X0)
        | ~ doDivides0(X0,sK2(sK5))
        | sz10 = sK5
        | sz00 = sK5
        | ~ sP1(sK5) )
    | ~ spl10_2 ),
    inference(subsumption_resolution,[],[f457,f252]) ).

fof(f457,plain,
    ! [X0] :
      ( ~ aNaturalNumber0(X0)
      | sP1(X0)
      | ~ doDivides0(X0,sK2(sK5))
      | ~ aNaturalNumber0(sK2(sK5))
      | sz10 = sK5
      | sz00 = sK5
      | ~ sP1(sK5) ),
    inference(resolution,[],[f275,f143]) ).

fof(f275,plain,
    ! [X0,X1] :
      ( ~ doDivides0(X1,sK5)
      | ~ aNaturalNumber0(X0)
      | sP1(X0)
      | ~ doDivides0(X0,X1)
      | ~ aNaturalNumber0(X1) ),
    inference(subsumption_resolution,[],[f243,f149]) ).

fof(f243,plain,
    ! [X0,X1] :
      ( sP1(X0)
      | ~ aNaturalNumber0(X0)
      | ~ doDivides0(X1,sK5)
      | ~ doDivides0(X0,X1)
      | ~ aNaturalNumber0(sK5)
      | ~ aNaturalNumber0(X1) ),
    inference(duplicate_literal_removal,[],[f242]) ).

fof(f242,plain,
    ! [X0,X1] :
      ( sP1(X0)
      | ~ aNaturalNumber0(X0)
      | ~ doDivides0(X1,sK5)
      | ~ doDivides0(X0,X1)
      | ~ aNaturalNumber0(sK5)
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(resolution,[],[f161,f206]) ).

fof(f206,plain,
    ! [X2,X0,X1] :
      ( doDivides0(X0,X2)
      | ~ doDivides0(X1,X2)
      | ~ doDivides0(X0,X1)
      | ~ aNaturalNumber0(X2)
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(cnf_transformation,[],[f85]) ).

fof(f85,plain,
    ! [X0,X1,X2] :
      ( doDivides0(X0,X2)
      | ~ doDivides0(X1,X2)
      | ~ doDivides0(X0,X1)
      | ~ aNaturalNumber0(X2)
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(flattening,[],[f84]) ).

fof(f84,plain,
    ! [X0,X1,X2] :
      ( doDivides0(X0,X2)
      | ~ doDivides0(X1,X2)
      | ~ doDivides0(X0,X1)
      | ~ aNaturalNumber0(X2)
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(ennf_transformation,[],[f32]) ).

fof(f32,axiom,
    ! [X0,X1,X2] :
      ( ( aNaturalNumber0(X2)
        & aNaturalNumber0(X1)
        & aNaturalNumber0(X0) )
     => ( ( doDivides0(X1,X2)
          & doDivides0(X0,X1) )
       => doDivides0(X0,X2) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDivTrans) ).

fof(f161,plain,
    ! [X1] :
      ( ~ doDivides0(X1,sK5)
      | sP1(X1)
      | ~ aNaturalNumber0(X1) ),
    inference(cnf_transformation,[],[f122]) ).

fof(f420,plain,
    ( ~ spl10_1
    | spl10_2 ),
    inference(avatar_contradiction_clause,[],[f419]) ).

fof(f419,plain,
    ( $false
    | ~ spl10_1
    | spl10_2 ),
    inference(subsumption_resolution,[],[f418,f248]) ).

fof(f418,plain,
    ( ~ sP1(sK5)
    | spl10_2 ),
    inference(subsumption_resolution,[],[f417,f150]) ).

fof(f417,plain,
    ( sz00 = sK5
    | ~ sP1(sK5)
    | spl10_2 ),
    inference(subsumption_resolution,[],[f415,f151]) ).

fof(f415,plain,
    ( sz10 = sK5
    | sz00 = sK5
    | ~ sP1(sK5)
    | spl10_2 ),
    inference(resolution,[],[f253,f140]) ).

fof(f253,plain,
    ( ~ aNaturalNumber0(sK2(sK5))
    | spl10_2 ),
    inference(avatar_component_clause,[],[f251]) ).

fof(f359,plain,
    spl10_1,
    inference(avatar_split_clause,[],[f358,f247]) ).

fof(f358,plain,
    sP1(sK5),
    inference(subsumption_resolution,[],[f354,f149]) ).

fof(f354,plain,
    ( sP1(sK5)
    | ~ aNaturalNumber0(sK5) ),
    inference(equality_resolution,[],[f300]) ).

fof(f300,plain,
    ! [X0] :
      ( sK5 != X0
      | sP1(X0)
      | ~ aNaturalNumber0(X0) ),
    inference(subsumption_resolution,[],[f296,f190]) ).

fof(f190,plain,
    aNaturalNumber0(sz10),
    inference(cnf_transformation,[],[f3]) ).

fof(f3,axiom,
    ( sz00 != sz10
    & aNaturalNumber0(sz10) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSortsC_01) ).

fof(f296,plain,
    ! [X0] :
      ( sK5 != X0
      | sP1(X0)
      | ~ aNaturalNumber0(sz10)
      | ~ aNaturalNumber0(X0) ),
    inference(duplicate_literal_removal,[],[f279]) ).

fof(f279,plain,
    ! [X0] :
      ( sK5 != X0
      | sP1(X0)
      | ~ aNaturalNumber0(sz10)
      | ~ aNaturalNumber0(X0)
      | ~ aNaturalNumber0(X0) ),
    inference(superposition,[],[f160,f193]) ).

fof(f193,plain,
    ! [X0] :
      ( sdtasdt0(X0,sz10) = X0
      | ~ aNaturalNumber0(X0) ),
    inference(cnf_transformation,[],[f67]) ).

fof(f67,plain,
    ! [X0] :
      ( ( sdtasdt0(sz10,X0) = X0
        & sdtasdt0(X0,sz10) = X0 )
      | ~ aNaturalNumber0(X0) ),
    inference(ennf_transformation,[],[f11]) ).

fof(f11,axiom,
    ! [X0] :
      ( aNaturalNumber0(X0)
     => ( sdtasdt0(sz10,X0) = X0
        & sdtasdt0(X0,sz10) = X0 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m_MulUnit) ).

fof(f160,plain,
    ! [X2,X1] :
      ( sdtasdt0(X1,X2) != sK5
      | sP1(X1)
      | ~ aNaturalNumber0(X2)
      | ~ aNaturalNumber0(X1) ),
    inference(cnf_transformation,[],[f122]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12  % Problem    : NUM481+3 : TPTP v8.2.0. Released v4.0.0.
% 0.10/0.14  % 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
% 0.13/0.35  % Computer : n009.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit   : 300
% 0.13/0.35  % WCLimit    : 300
% 0.13/0.35  % DateTime   : Mon May 20 03:42:08 EDT 2024
% 0.13/0.35  % CPUTime    : 
% 0.13/0.35  This is a FOF_THM_RFO_SEQ problem
% 0.13/0.36  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
% 0.75/0.92  % (19279)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 (2994ds/34Mi)
% 0.75/0.92  % (19281)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on theBenchmark for (2994ds/78Mi)
% 0.75/0.92  % (19280)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 (2994ds/51Mi)
% 0.75/0.92  % (19282)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on theBenchmark for (2994ds/33Mi)
% 0.75/0.92  % (19283)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 (2994ds/34Mi)
% 0.75/0.92  % (19284)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on theBenchmark for (2994ds/45Mi)
% 0.75/0.92  % (19285)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 (2994ds/83Mi)
% 0.75/0.92  % (19286)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 (2994ds/56Mi)
% 0.76/0.94  % (19282)Instruction limit reached!
% 0.76/0.94  % (19282)------------------------------
% 0.76/0.94  % (19282)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.76/0.94  % (19282)Termination reason: Unknown
% 0.76/0.94  % (19283)Instruction limit reached!
% 0.76/0.94  % (19283)------------------------------
% 0.76/0.94  % (19283)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.76/0.94  % (19282)Termination phase: Saturation
% 0.76/0.94  
% 0.76/0.94  % (19282)Memory used [KB]: 1430
% 0.76/0.94  % (19282)Time elapsed: 0.018 s
% 0.76/0.94  % (19282)Instructions burned: 33 (million)
% 0.76/0.94  % (19282)------------------------------
% 0.76/0.94  % (19282)------------------------------
% 0.76/0.94  % (19283)Termination reason: Unknown
% 0.76/0.94  % (19283)Termination phase: Saturation
% 0.76/0.94  
% 0.76/0.94  % (19283)Memory used [KB]: 1504
% 0.76/0.94  % (19283)Time elapsed: 0.018 s
% 0.76/0.94  % (19283)Instructions burned: 34 (million)
% 0.76/0.94  % (19283)------------------------------
% 0.76/0.94  % (19283)------------------------------
% 0.76/0.94  % (19279)Instruction limit reached!
% 0.76/0.94  % (19279)------------------------------
% 0.76/0.94  % (19279)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.76/0.94  % (19279)Termination reason: Unknown
% 0.76/0.94  % (19279)Termination phase: Saturation
% 0.76/0.94  
% 0.76/0.94  % (19279)Memory used [KB]: 1398
% 0.76/0.94  % (19279)Time elapsed: 0.019 s
% 0.76/0.94  % (19279)Instructions burned: 34 (million)
% 0.76/0.94  % (19279)------------------------------
% 0.76/0.94  % (19279)------------------------------
% 0.76/0.94  % (19287)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)
% 0.76/0.94  % (19288)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)
% 0.76/0.94  % (19289)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)
% 0.76/0.94  % (19284)Instruction limit reached!
% 0.76/0.94  % (19284)------------------------------
% 0.76/0.94  % (19284)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.76/0.94  % (19284)Termination reason: Unknown
% 0.76/0.94  % (19284)Termination phase: Saturation
% 0.76/0.94  
% 0.76/0.94  % (19284)Memory used [KB]: 1662
% 0.76/0.94  % (19284)Time elapsed: 0.025 s
% 0.76/0.94  % (19284)Instructions burned: 45 (million)
% 0.76/0.94  % (19284)------------------------------
% 0.76/0.94  % (19284)------------------------------
% 0.76/0.95  % (19280)Instruction limit reached!
% 0.76/0.95  % (19280)------------------------------
% 0.76/0.95  % (19280)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.76/0.95  % (19280)Termination reason: Unknown
% 0.76/0.95  % (19280)Termination phase: Saturation
% 0.76/0.95  
% 0.76/0.95  % (19280)Memory used [KB]: 1584
% 0.76/0.95  % (19280)Time elapsed: 0.028 s
% 0.76/0.95  % (19280)Instructions burned: 52 (million)
% 0.76/0.95  % (19280)------------------------------
% 0.76/0.95  % (19280)------------------------------
% 0.76/0.95  % (19290)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)
% 0.76/0.95  % (19286)Instruction limit reached!
% 0.76/0.95  % (19286)------------------------------
% 0.76/0.95  % (19286)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.76/0.95  % (19286)Termination reason: Unknown
% 0.76/0.95  % (19286)Termination phase: Saturation
% 0.76/0.95  
% 0.76/0.95  % (19286)Memory used [KB]: 1609
% 0.76/0.95  % (19286)Time elapsed: 0.030 s
% 0.76/0.95  % (19286)Instructions burned: 56 (million)
% 0.76/0.95  % (19286)------------------------------
% 0.76/0.95  % (19286)------------------------------
% 0.76/0.95  % (19291)lrs-1010_1:1_to=lpo:sil=2000:sp=reverse_arity:sos=on:urr=ec_only:i=518:sd=2:bd=off:ss=axioms:sgt=16_0 on theBenchmark for (2994ds/518Mi)
% 0.76/0.95  % (19292)lrs+1011_87677:1048576_sil=8000:sos=on:spb=non_intro:nwc=10.0:kmz=on:i=42:ep=RS:nm=0:ins=1:uhcvi=on:rawr=on:fde=unused:afp=2000:afq=1.444:plsq=on:nicw=on_0 on theBenchmark for (2994ds/42Mi)
% 0.76/0.96  % (19285)Instruction limit reached!
% 0.76/0.96  % (19285)------------------------------
% 0.76/0.96  % (19285)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.76/0.96  % (19285)Termination reason: Unknown
% 0.76/0.96  % (19285)Termination phase: Saturation
% 0.76/0.96  
% 0.76/0.96  % (19285)Memory used [KB]: 1682
% 0.76/0.96  % (19285)Time elapsed: 0.037 s
% 0.76/0.96  % (19285)Instructions burned: 84 (million)
% 0.76/0.96  % (19285)------------------------------
% 0.76/0.96  % (19285)------------------------------
% 0.76/0.96  % (19292)Refutation not found, incomplete strategy% (19292)------------------------------
% 0.76/0.96  % (19292)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.76/0.96  % (19292)Termination reason: Refutation not found, incomplete strategy
% 0.76/0.96  
% 0.76/0.96  % (19292)Memory used [KB]: 1158
% 0.76/0.96  % (19292)Time elapsed: 0.006 s
% 0.76/0.96  % (19292)Instructions burned: 10 (million)
% 0.76/0.96  % (19292)------------------------------
% 0.76/0.96  % (19292)------------------------------
% 0.76/0.96  % (19293)dis+1011_1258907:1048576_bsr=unit_only:to=lpo:drc=off:sil=2000:tgt=full:fde=none:sp=frequency:spb=goal:rnwc=on:nwc=6.70083:sac=on:newcnf=on:st=2:i=243:bs=unit_only:sd=3:afp=300:awrs=decay:awrsf=218:nm=16:ins=3:afq=3.76821:afr=on:ss=axioms:sgt=5:rawr=on:add=off:bsd=on_0 on theBenchmark for (2994ds/243Mi)
% 0.76/0.96  % (19294)lrs+1011_2:9_sil=2000:lsd=10:newcnf=on:i=117:sd=2:awrs=decay:ss=included:amm=off:ep=R_0 on theBenchmark for (2994ds/117Mi)
% 0.76/0.96  % (19281)Instruction limit reached!
% 0.76/0.96  % (19281)------------------------------
% 0.76/0.96  % (19281)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.76/0.96  % (19281)Termination reason: Unknown
% 0.76/0.96  % (19281)Termination phase: Saturation
% 0.76/0.96  
% 0.76/0.96  % (19281)Memory used [KB]: 1857
% 0.76/0.96  % (19281)Time elapsed: 0.043 s
% 0.76/0.96  % (19281)Instructions burned: 79 (million)
% 0.76/0.96  % (19281)------------------------------
% 0.76/0.96  % (19281)------------------------------
% 0.76/0.96  % (19288)Instruction limit reached!
% 0.76/0.96  % (19288)------------------------------
% 0.76/0.96  % (19288)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.76/0.96  % (19288)Termination reason: Unknown
% 0.76/0.96  % (19288)Termination phase: Saturation
% 0.76/0.96  
% 0.76/0.96  % (19288)Memory used [KB]: 1556
% 0.76/0.96  % (19288)Time elapsed: 0.024 s
% 0.76/0.96  % (19288)Instructions burned: 50 (million)
% 0.76/0.96  % (19288)------------------------------
% 0.76/0.96  % (19288)------------------------------
% 0.76/0.97  % (19295)dis+1011_11:1_sil=2000:avsq=on:i=143:avsqr=1,16:ep=RS:rawr=on:aac=none:lsd=100:mep=off:fde=none:newcnf=on:bsr=unit_only_0 on theBenchmark for (2994ds/143Mi)
% 0.76/0.97  % (19287)Instruction limit reached!
% 0.76/0.97  % (19287)------------------------------
% 0.76/0.97  % (19287)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.76/0.97  % (19287)Termination reason: Unknown
% 0.76/0.97  % (19287)Termination phase: Saturation
% 0.76/0.97  
% 0.76/0.97  % (19287)Memory used [KB]: 1927
% 0.76/0.97  % (19287)Time elapsed: 0.027 s
% 0.76/0.97  % (19287)Instructions burned: 56 (million)
% 0.76/0.97  % (19287)------------------------------
% 0.76/0.97  % (19287)------------------------------
% 0.76/0.97  % (19296)lrs+1011_1:2_to=lpo:sil=8000:plsqc=1:plsq=on:plsqr=326,59:sp=weighted_frequency:plsql=on:nwc=10.0:newcnf=on:i=93:awrs=converge:awrsf=200:bd=off:ins=1:rawr=on:alpa=false:avsq=on:avsqr=1,16_0 on theBenchmark for (2994ds/93Mi)
% 0.76/0.97  % (19297)lrs+1666_1:1_sil=4000:sp=occurrence:sos=on:urr=on:newcnf=on:i=62:amm=off:ep=R:erd=off:nm=0:plsq=on:plsqr=14,1_0 on theBenchmark for (2994ds/62Mi)
% 0.76/0.98  % (19290)Instruction limit reached!
% 0.76/0.98  % (19290)------------------------------
% 0.76/0.98  % (19290)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.76/0.98  % (19290)Termination reason: Unknown
% 0.76/0.98  % (19290)Termination phase: Saturation
% 0.76/0.98  
% 0.76/0.98  % (19290)Memory used [KB]: 1644
% 0.76/0.98  % (19290)Time elapsed: 0.029 s
% 0.76/0.98  % (19290)Instructions burned: 52 (million)
% 0.76/0.98  % (19290)------------------------------
% 0.76/0.98  % (19290)------------------------------
% 0.76/0.98  % (19298)lrs+21_2461:262144_anc=none:drc=off:sil=2000:sp=occurrence:nwc=6.0:updr=off:st=3.0:i=32:sd=2:afp=4000:erml=3:nm=14:afq=2.0:uhcvi=on:ss=included:er=filter:abs=on:nicw=on:ile=on:sims=off:s2a=on:s2agt=50:s2at=-1.0:plsq=on:plsql=on:plsqc=2:plsqr=1,32:newcnf=on:bd=off:to=lpo_0 on theBenchmark for (2993ds/32Mi)
% 0.76/1.00  % (19298)Instruction limit reached!
% 0.76/1.00  % (19298)------------------------------
% 0.76/1.00  % (19298)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.76/1.00  % (19298)Termination reason: Unknown
% 0.76/1.00  % (19298)Termination phase: Saturation
% 0.76/1.00  
% 0.76/1.00  % (19298)Memory used [KB]: 1366
% 0.76/1.00  % (19298)Time elapsed: 0.018 s
% 0.76/1.00  % (19298)Instructions burned: 33 (million)
% 0.76/1.00  % (19298)------------------------------
% 0.76/1.00  % (19298)------------------------------
% 0.76/1.00  % (19299)dis+1011_1:1_sil=16000:nwc=7.0:s2agt=64:s2a=on:i=1919:ss=axioms:sgt=8:lsd=50:sd=7_0 on theBenchmark for (2993ds/1919Mi)
% 0.76/1.00  % (19297)Instruction limit reached!
% 0.76/1.00  % (19297)------------------------------
% 0.76/1.00  % (19297)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.76/1.00  % (19297)Termination reason: Unknown
% 0.76/1.00  % (19297)Termination phase: Saturation
% 0.76/1.00  
% 0.76/1.00  % (19297)Memory used [KB]: 1949
% 0.76/1.00  % (19297)Time elapsed: 0.033 s
% 0.76/1.00  % (19297)Instructions burned: 62 (million)
% 0.76/1.00  % (19297)------------------------------
% 0.76/1.00  % (19297)------------------------------
% 0.76/1.00  % (19300)ott-32_5:1_sil=4000:sp=occurrence:urr=full:rp=on:nwc=5.0:newcnf=on:st=5.0:s2pl=on:i=55:sd=2:ins=2:ss=included:rawr=on:anc=none:sos=on:s2agt=8:spb=intro:ep=RS:avsq=on:avsqr=27,155:lma=on_0 on theBenchmark for (2993ds/55Mi)
% 0.76/1.02  % (19296)Instruction limit reached!
% 0.76/1.02  % (19296)------------------------------
% 0.76/1.02  % (19296)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.76/1.02  % (19296)Termination reason: Unknown
% 0.76/1.02  % (19296)Termination phase: Saturation
% 0.76/1.02  
% 0.76/1.02  % (19296)Memory used [KB]: 2207
% 0.76/1.02  % (19296)Time elapsed: 0.051 s
% 0.76/1.02  % (19296)Instructions burned: 94 (million)
% 0.76/1.02  % (19296)------------------------------
% 0.76/1.02  % (19296)------------------------------
% 0.76/1.02  % (19301)lrs-1011_1:1_sil=2000:sos=on:urr=on:i=53:sd=1:bd=off:ins=3:av=off:ss=axioms:sgt=16:gsp=on:lsd=10_0 on theBenchmark for (2993ds/53Mi)
% 0.76/1.02  % (19294)Instruction limit reached!
% 0.76/1.02  % (19294)------------------------------
% 0.76/1.02  % (19294)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.76/1.02  % (19294)Termination reason: Unknown
% 0.76/1.02  % (19294)Termination phase: Saturation
% 0.76/1.02  
% 0.76/1.02  % (19294)Memory used [KB]: 2702
% 0.76/1.02  % (19294)Time elapsed: 0.061 s
% 0.76/1.02  % (19294)Instructions burned: 117 (million)
% 0.76/1.02  % (19294)------------------------------
% 0.76/1.02  % (19294)------------------------------
% 1.25/1.02  % (19295)Instruction limit reached!
% 1.25/1.02  % (19295)------------------------------
% 1.25/1.02  % (19295)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.25/1.02  % (19295)Termination reason: Unknown
% 1.25/1.02  % (19295)Termination phase: Saturation
% 1.25/1.02  
% 1.25/1.02  % (19295)Memory used [KB]: 2016
% 1.25/1.02  % (19295)Time elapsed: 0.059 s
% 1.25/1.02  % (19295)Instructions burned: 143 (million)
% 1.25/1.02  % (19295)------------------------------
% 1.25/1.02  % (19295)------------------------------
% 1.25/1.02  % (19302)lrs+1011_6929:65536_anc=all_dependent:sil=2000:fde=none:plsqc=1:plsq=on:plsqr=19,8:plsql=on:nwc=3.0:i=46:afp=4000:ep=R:nm=3:fsr=off:afr=on:aer=off:gsp=on_0 on theBenchmark for (2993ds/46Mi)
% 1.25/1.03  % (19291)First to succeed.
% 1.25/1.03  % (19303)dis+10_3:31_sil=2000:sp=frequency:abs=on:acc=on:lcm=reverse:nwc=3.0:alpa=random:st=3.0:i=102:sd=1:nm=4:ins=1:aer=off:ss=axioms_0 on theBenchmark for (2993ds/102Mi)
% 1.25/1.03  % (19291)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-19278"
% 1.25/1.03  % (19291)Refutation found. Thanks to Tanya!
% 1.25/1.03  % SZS status Theorem for theBenchmark
% 1.25/1.03  % SZS output start Proof for theBenchmark
% See solution above
% 1.25/1.03  % (19291)------------------------------
% 1.25/1.03  % (19291)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.25/1.03  % (19291)Termination reason: Refutation
% 1.25/1.03  
% 1.25/1.03  % (19291)Memory used [KB]: 2059
% 1.25/1.03  % (19291)Time elapsed: 0.078 s
% 1.25/1.03  % (19291)Instructions burned: 167 (million)
% 1.25/1.03  % (19278)Success in time 0.656 s
% 1.25/1.03  % Vampire---4.8 exiting
%------------------------------------------------------------------------------