TSTP Solution File: SWC029+1 by Vampire---4.8

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%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SWC029+1 : TPTP v8.1.2. Released v2.4.0.
% 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 : n022.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 03:59:17 EDT 2024

% Result   : Theorem 0.61s 0.77s
% Output   : Refutation 0.61s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   14
%            Number of leaves      :   19
% Syntax   : Number of formulae    :   88 (   6 unt;   0 def)
%            Number of atoms       :  469 ( 204 equ)
%            Maximal formula atoms :   34 (   5 avg)
%            Number of connectives :  577 ( 196   ~; 191   |; 154   &)
%                                         (  12 <=>;  24  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   19 (   5 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :   13 (  11 usr;   9 prp; 0-2 aty)
%            Number of functors    :    9 (   9 usr;   7 con; 0-2 aty)
%            Number of variables   :   86 (  38   !;  48   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f333,plain,
    $false,
    inference(avatar_sat_refutation,[],[f200,f201,f210,f215,f220,f225,f226,f243,f285,f332]) ).

fof(f332,plain,
    ( ~ spl10_1
    | spl10_2
    | ~ spl10_3
    | ~ spl10_5
    | ~ spl10_6
    | ~ spl10_10 ),
    inference(avatar_contradiction_clause,[],[f331]) ).

fof(f331,plain,
    ( $false
    | ~ spl10_1
    | spl10_2
    | ~ spl10_3
    | ~ spl10_5
    | ~ spl10_6
    | ~ spl10_10 ),
    inference(subsumption_resolution,[],[f330,f199]) ).

fof(f199,plain,
    ( nil != sK3
    | spl10_2 ),
    inference(avatar_component_clause,[],[f197]) ).

fof(f197,plain,
    ( spl10_2
  <=> nil = sK3 ),
    introduced(avatar_definition,[new_symbols(naming,[spl10_2])]) ).

fof(f330,plain,
    ( nil = sK3
    | ~ spl10_1
    | ~ spl10_3
    | ~ spl10_5
    | ~ spl10_6
    | ~ spl10_10 ),
    inference(forward_demodulation,[],[f329,f328]) ).

fof(f328,plain,
    ( nil = app(nil,nil)
    | ~ spl10_1
    | ~ spl10_3
    | ~ spl10_6
    | ~ spl10_10 ),
    inference(forward_demodulation,[],[f325,f298]) ).

fof(f298,plain,
    ( nil = cons(sK4,nil)
    | ~ spl10_1
    | ~ spl10_3
    | ~ spl10_6
    | ~ spl10_10 ),
    inference(subsumption_resolution,[],[f297,f219]) ).

fof(f219,plain,
    ( ssList(sK5)
    | ~ spl10_6 ),
    inference(avatar_component_clause,[],[f217]) ).

fof(f217,plain,
    ( spl10_6
  <=> ssList(sK5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl10_6])]) ).

fof(f297,plain,
    ( nil = cons(sK4,nil)
    | ~ ssList(sK5)
    | ~ spl10_1
    | ~ spl10_3
    | ~ spl10_10 ),
    inference(subsumption_resolution,[],[f296,f257]) ).

fof(f257,plain,
    ( ssList(cons(sK4,nil))
    | ~ spl10_10 ),
    inference(avatar_component_clause,[],[f256]) ).

fof(f256,plain,
    ( spl10_10
  <=> ssList(cons(sK4,nil)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl10_10])]) ).

fof(f296,plain,
    ( nil = cons(sK4,nil)
    | ~ ssList(cons(sK4,nil))
    | ~ ssList(sK5)
    | ~ spl10_1
    | ~ spl10_3 ),
    inference(trivial_inequality_removal,[],[f286]) ).

fof(f286,plain,
    ( nil != nil
    | nil = cons(sK4,nil)
    | ~ ssList(cons(sK4,nil))
    | ~ ssList(sK5)
    | ~ spl10_1
    | ~ spl10_3 ),
    inference(superposition,[],[f164,f244]) ).

fof(f244,plain,
    ( nil = app(sK5,cons(sK4,nil))
    | ~ spl10_1
    | ~ spl10_3 ),
    inference(forward_demodulation,[],[f205,f194]) ).

fof(f194,plain,
    ( nil = sK2
    | ~ spl10_1 ),
    inference(avatar_component_clause,[],[f193]) ).

fof(f193,plain,
    ( spl10_1
  <=> nil = sK2 ),
    introduced(avatar_definition,[new_symbols(naming,[spl10_1])]) ).

fof(f205,plain,
    ( sK2 = app(sK5,cons(sK4,nil))
    | ~ spl10_3 ),
    inference(avatar_component_clause,[],[f203]) ).

fof(f203,plain,
    ( spl10_3
  <=> sK2 = app(sK5,cons(sK4,nil)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl10_3])]) ).

fof(f164,plain,
    ! [X0,X1] :
      ( nil != app(X0,X1)
      | nil = X1
      | ~ ssList(X1)
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f134]) ).

fof(f134,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( ( nil = app(X0,X1)
              | nil != X0
              | nil != X1 )
            & ( ( nil = X0
                & nil = X1 )
              | nil != app(X0,X1) ) )
          | ~ ssList(X1) )
      | ~ ssList(X0) ),
    inference(flattening,[],[f133]) ).

fof(f133,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( ( nil = app(X0,X1)
              | nil != X0
              | nil != X1 )
            & ( ( nil = X0
                & nil = X1 )
              | nil != app(X0,X1) ) )
          | ~ ssList(X1) )
      | ~ ssList(X0) ),
    inference(nnf_transformation,[],[f108]) ).

fof(f108,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( nil = app(X0,X1)
          <=> ( nil = X0
              & nil = X1 ) )
          | ~ ssList(X1) )
      | ~ ssList(X0) ),
    inference(ennf_transformation,[],[f83]) ).

fof(f83,axiom,
    ! [X0] :
      ( ssList(X0)
     => ! [X1] :
          ( ssList(X1)
         => ( nil = app(X0,X1)
          <=> ( nil = X0
              & nil = X1 ) ) ) ),
    file('/export/starexec/sandbox/tmp/tmp.lIJ6K5HylP/Vampire---4.8_20077',ax83) ).

fof(f325,plain,
    ( nil = app(nil,cons(sK4,nil))
    | ~ spl10_1
    | ~ spl10_3
    | ~ spl10_6
    | ~ spl10_10 ),
    inference(superposition,[],[f244,f300]) ).

fof(f300,plain,
    ( nil = sK5
    | ~ spl10_1
    | ~ spl10_3
    | ~ spl10_6
    | ~ spl10_10 ),
    inference(subsumption_resolution,[],[f299,f219]) ).

fof(f299,plain,
    ( nil = sK5
    | ~ ssList(sK5)
    | ~ spl10_1
    | ~ spl10_3
    | ~ spl10_10 ),
    inference(subsumption_resolution,[],[f295,f257]) ).

fof(f295,plain,
    ( nil = sK5
    | ~ ssList(cons(sK4,nil))
    | ~ ssList(sK5)
    | ~ spl10_1
    | ~ spl10_3 ),
    inference(trivial_inequality_removal,[],[f287]) ).

fof(f287,plain,
    ( nil != nil
    | nil = sK5
    | ~ ssList(cons(sK4,nil))
    | ~ ssList(sK5)
    | ~ spl10_1
    | ~ spl10_3 ),
    inference(superposition,[],[f165,f244]) ).

fof(f165,plain,
    ! [X0,X1] :
      ( nil != app(X0,X1)
      | nil = X0
      | ~ ssList(X1)
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f134]) ).

fof(f329,plain,
    ( sK3 = app(nil,nil)
    | ~ spl10_1
    | ~ spl10_3
    | ~ spl10_5
    | ~ spl10_6
    | ~ spl10_10 ),
    inference(forward_demodulation,[],[f326,f298]) ).

fof(f326,plain,
    ( sK3 = app(cons(sK4,nil),nil)
    | ~ spl10_1
    | ~ spl10_3
    | ~ spl10_5
    | ~ spl10_6
    | ~ spl10_10 ),
    inference(superposition,[],[f214,f300]) ).

fof(f214,plain,
    ( sK3 = app(cons(sK4,nil),sK5)
    | ~ spl10_5 ),
    inference(avatar_component_clause,[],[f212]) ).

fof(f212,plain,
    ( spl10_5
  <=> sK3 = app(cons(sK4,nil),sK5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl10_5])]) ).

fof(f285,plain,
    ( ~ spl10_7
    | spl10_10 ),
    inference(avatar_contradiction_clause,[],[f284]) ).

fof(f284,plain,
    ( $false
    | ~ spl10_7
    | spl10_10 ),
    inference(subsumption_resolution,[],[f283,f178]) ).

fof(f178,plain,
    ssList(nil),
    inference(cnf_transformation,[],[f17]) ).

fof(f17,axiom,
    ssList(nil),
    file('/export/starexec/sandbox/tmp/tmp.lIJ6K5HylP/Vampire---4.8_20077',ax17) ).

fof(f283,plain,
    ( ~ ssList(nil)
    | ~ spl10_7
    | spl10_10 ),
    inference(subsumption_resolution,[],[f282,f224]) ).

fof(f224,plain,
    ( ssItem(sK4)
    | ~ spl10_7 ),
    inference(avatar_component_clause,[],[f222]) ).

fof(f222,plain,
    ( spl10_7
  <=> ssItem(sK4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl10_7])]) ).

fof(f282,plain,
    ( ~ ssItem(sK4)
    | ~ ssList(nil)
    | spl10_10 ),
    inference(resolution,[],[f258,f162]) ).

fof(f162,plain,
    ! [X0,X1] :
      ( ssList(cons(X1,X0))
      | ~ ssItem(X1)
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f106]) ).

fof(f106,plain,
    ! [X0] :
      ( ! [X1] :
          ( ssList(cons(X1,X0))
          | ~ ssItem(X1) )
      | ~ ssList(X0) ),
    inference(ennf_transformation,[],[f16]) ).

fof(f16,axiom,
    ! [X0] :
      ( ssList(X0)
     => ! [X1] :
          ( ssItem(X1)
         => ssList(cons(X1,X0)) ) ),
    file('/export/starexec/sandbox/tmp/tmp.lIJ6K5HylP/Vampire---4.8_20077',ax16) ).

fof(f258,plain,
    ( ~ ssList(cons(sK4,nil))
    | spl10_10 ),
    inference(avatar_component_clause,[],[f256]) ).

fof(f243,plain,
    ( spl10_2
    | spl10_4 ),
    inference(avatar_contradiction_clause,[],[f242]) ).

fof(f242,plain,
    ( $false
    | spl10_2
    | spl10_4 ),
    inference(subsumption_resolution,[],[f241,f140]) ).

fof(f140,plain,
    ssList(sK3),
    inference(cnf_transformation,[],[f126]) ).

fof(f126,plain,
    ( ( ( nil != sK1
        & nil = sK0 )
      | ( nil != sK0
        & nil = sK1 ) )
    & ( ~ neq(sK3,nil)
      | ( sK2 = app(sK5,cons(sK4,nil))
        & sK3 = app(cons(sK4,nil),sK5)
        & ssList(sK5)
        & ssItem(sK4) ) )
    & ( nil != sK3
      | nil = sK2 )
    & sK0 = sK2
    & sK1 = sK3
    & ssList(sK3)
    & ssList(sK2)
    & ssList(sK1)
    & ssList(sK0) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4,sK5])],[f99,f125,f124,f123,f122,f121,f120]) ).

fof(f120,plain,
    ( ? [X0] :
        ( ? [X1] :
            ( ? [X2] :
                ( ? [X3] :
                    ( ( ( nil != X1
                        & nil = X0 )
                      | ( nil != X0
                        & nil = X1 ) )
                    & ( ~ neq(X3,nil)
                      | ? [X4] :
                          ( ? [X5] :
                              ( app(X5,cons(X4,nil)) = X2
                              & app(cons(X4,nil),X5) = X3
                              & ssList(X5) )
                          & ssItem(X4) ) )
                    & ( nil != X3
                      | nil = X2 )
                    & X0 = X2
                    & X1 = X3
                    & ssList(X3) )
                & ssList(X2) )
            & ssList(X1) )
        & ssList(X0) )
   => ( ? [X1] :
          ( ? [X2] :
              ( ? [X3] :
                  ( ( ( nil != X1
                      & nil = sK0 )
                    | ( nil != sK0
                      & nil = X1 ) )
                  & ( ~ neq(X3,nil)
                    | ? [X4] :
                        ( ? [X5] :
                            ( app(X5,cons(X4,nil)) = X2
                            & app(cons(X4,nil),X5) = X3
                            & ssList(X5) )
                        & ssItem(X4) ) )
                  & ( nil != X3
                    | nil = X2 )
                  & sK0 = X2
                  & X1 = X3
                  & ssList(X3) )
              & ssList(X2) )
          & ssList(X1) )
      & ssList(sK0) ) ),
    introduced(choice_axiom,[]) ).

fof(f121,plain,
    ( ? [X1] :
        ( ? [X2] :
            ( ? [X3] :
                ( ( ( nil != X1
                    & nil = sK0 )
                  | ( nil != sK0
                    & nil = X1 ) )
                & ( ~ neq(X3,nil)
                  | ? [X4] :
                      ( ? [X5] :
                          ( app(X5,cons(X4,nil)) = X2
                          & app(cons(X4,nil),X5) = X3
                          & ssList(X5) )
                      & ssItem(X4) ) )
                & ( nil != X3
                  | nil = X2 )
                & sK0 = X2
                & X1 = X3
                & ssList(X3) )
            & ssList(X2) )
        & ssList(X1) )
   => ( ? [X2] :
          ( ? [X3] :
              ( ( ( nil != sK1
                  & nil = sK0 )
                | ( nil != sK0
                  & nil = sK1 ) )
              & ( ~ neq(X3,nil)
                | ? [X4] :
                    ( ? [X5] :
                        ( app(X5,cons(X4,nil)) = X2
                        & app(cons(X4,nil),X5) = X3
                        & ssList(X5) )
                    & ssItem(X4) ) )
              & ( nil != X3
                | nil = X2 )
              & sK0 = X2
              & sK1 = X3
              & ssList(X3) )
          & ssList(X2) )
      & ssList(sK1) ) ),
    introduced(choice_axiom,[]) ).

fof(f122,plain,
    ( ? [X2] :
        ( ? [X3] :
            ( ( ( nil != sK1
                & nil = sK0 )
              | ( nil != sK0
                & nil = sK1 ) )
            & ( ~ neq(X3,nil)
              | ? [X4] :
                  ( ? [X5] :
                      ( app(X5,cons(X4,nil)) = X2
                      & app(cons(X4,nil),X5) = X3
                      & ssList(X5) )
                  & ssItem(X4) ) )
            & ( nil != X3
              | nil = X2 )
            & sK0 = X2
            & sK1 = X3
            & ssList(X3) )
        & ssList(X2) )
   => ( ? [X3] :
          ( ( ( nil != sK1
              & nil = sK0 )
            | ( nil != sK0
              & nil = sK1 ) )
          & ( ~ neq(X3,nil)
            | ? [X4] :
                ( ? [X5] :
                    ( app(X5,cons(X4,nil)) = sK2
                    & app(cons(X4,nil),X5) = X3
                    & ssList(X5) )
                & ssItem(X4) ) )
          & ( nil != X3
            | nil = sK2 )
          & sK0 = sK2
          & sK1 = X3
          & ssList(X3) )
      & ssList(sK2) ) ),
    introduced(choice_axiom,[]) ).

fof(f123,plain,
    ( ? [X3] :
        ( ( ( nil != sK1
            & nil = sK0 )
          | ( nil != sK0
            & nil = sK1 ) )
        & ( ~ neq(X3,nil)
          | ? [X4] :
              ( ? [X5] :
                  ( app(X5,cons(X4,nil)) = sK2
                  & app(cons(X4,nil),X5) = X3
                  & ssList(X5) )
              & ssItem(X4) ) )
        & ( nil != X3
          | nil = sK2 )
        & sK0 = sK2
        & sK1 = X3
        & ssList(X3) )
   => ( ( ( nil != sK1
          & nil = sK0 )
        | ( nil != sK0
          & nil = sK1 ) )
      & ( ~ neq(sK3,nil)
        | ? [X4] :
            ( ? [X5] :
                ( app(X5,cons(X4,nil)) = sK2
                & app(cons(X4,nil),X5) = sK3
                & ssList(X5) )
            & ssItem(X4) ) )
      & ( nil != sK3
        | nil = sK2 )
      & sK0 = sK2
      & sK1 = sK3
      & ssList(sK3) ) ),
    introduced(choice_axiom,[]) ).

fof(f124,plain,
    ( ? [X4] :
        ( ? [X5] :
            ( app(X5,cons(X4,nil)) = sK2
            & app(cons(X4,nil),X5) = sK3
            & ssList(X5) )
        & ssItem(X4) )
   => ( ? [X5] :
          ( sK2 = app(X5,cons(sK4,nil))
          & sK3 = app(cons(sK4,nil),X5)
          & ssList(X5) )
      & ssItem(sK4) ) ),
    introduced(choice_axiom,[]) ).

fof(f125,plain,
    ( ? [X5] :
        ( sK2 = app(X5,cons(sK4,nil))
        & sK3 = app(cons(sK4,nil),X5)
        & ssList(X5) )
   => ( sK2 = app(sK5,cons(sK4,nil))
      & sK3 = app(cons(sK4,nil),sK5)
      & ssList(sK5) ) ),
    introduced(choice_axiom,[]) ).

fof(f99,plain,
    ? [X0] :
      ( ? [X1] :
          ( ? [X2] :
              ( ? [X3] :
                  ( ( ( nil != X1
                      & nil = X0 )
                    | ( nil != X0
                      & nil = X1 ) )
                  & ( ~ neq(X3,nil)
                    | ? [X4] :
                        ( ? [X5] :
                            ( app(X5,cons(X4,nil)) = X2
                            & app(cons(X4,nil),X5) = X3
                            & ssList(X5) )
                        & ssItem(X4) ) )
                  & ( nil != X3
                    | nil = X2 )
                  & X0 = X2
                  & X1 = X3
                  & ssList(X3) )
              & ssList(X2) )
          & ssList(X1) )
      & ssList(X0) ),
    inference(flattening,[],[f98]) ).

fof(f98,plain,
    ? [X0] :
      ( ? [X1] :
          ( ? [X2] :
              ( ? [X3] :
                  ( ( ( nil != X1
                      & nil = X0 )
                    | ( nil != X0
                      & nil = X1 ) )
                  & ( ~ neq(X3,nil)
                    | ? [X4] :
                        ( ? [X5] :
                            ( app(X5,cons(X4,nil)) = X2
                            & app(cons(X4,nil),X5) = X3
                            & ssList(X5) )
                        & ssItem(X4) ) )
                  & ( nil != X3
                    | nil = X2 )
                  & X0 = X2
                  & X1 = X3
                  & ssList(X3) )
              & ssList(X2) )
          & ssList(X1) )
      & ssList(X0) ),
    inference(ennf_transformation,[],[f97]) ).

fof(f97,negated_conjecture,
    ~ ! [X0] :
        ( ssList(X0)
       => ! [X1] :
            ( ssList(X1)
           => ! [X2] :
                ( ssList(X2)
               => ! [X3] :
                    ( ssList(X3)
                   => ( ( ( nil = X1
                          | nil != X0 )
                        & ( nil = X0
                          | nil != X1 ) )
                      | ( neq(X3,nil)
                        & ! [X4] :
                            ( ssItem(X4)
                           => ! [X5] :
                                ( ssList(X5)
                               => ( app(X5,cons(X4,nil)) != X2
                                  | app(cons(X4,nil),X5) != X3 ) ) ) )
                      | ( nil = X3
                        & nil != X2 )
                      | X0 != X2
                      | X1 != X3 ) ) ) ) ),
    inference(negated_conjecture,[],[f96]) ).

fof(f96,conjecture,
    ! [X0] :
      ( ssList(X0)
     => ! [X1] :
          ( ssList(X1)
         => ! [X2] :
              ( ssList(X2)
             => ! [X3] :
                  ( ssList(X3)
                 => ( ( ( nil = X1
                        | nil != X0 )
                      & ( nil = X0
                        | nil != X1 ) )
                    | ( neq(X3,nil)
                      & ! [X4] :
                          ( ssItem(X4)
                         => ! [X5] :
                              ( ssList(X5)
                             => ( app(X5,cons(X4,nil)) != X2
                                | app(cons(X4,nil),X5) != X3 ) ) ) )
                    | ( nil = X3
                      & nil != X2 )
                    | X0 != X2
                    | X1 != X3 ) ) ) ) ),
    file('/export/starexec/sandbox/tmp/tmp.lIJ6K5HylP/Vampire---4.8_20077',co1) ).

fof(f241,plain,
    ( ~ ssList(sK3)
    | spl10_2
    | spl10_4 ),
    inference(subsumption_resolution,[],[f240,f178]) ).

fof(f240,plain,
    ( ~ ssList(nil)
    | ~ ssList(sK3)
    | spl10_2
    | spl10_4 ),
    inference(subsumption_resolution,[],[f229,f199]) ).

fof(f229,plain,
    ( nil = sK3
    | ~ ssList(nil)
    | ~ ssList(sK3)
    | spl10_4 ),
    inference(resolution,[],[f209,f175]) ).

fof(f175,plain,
    ! [X0,X1] :
      ( neq(X0,X1)
      | X0 = X1
      | ~ ssList(X1)
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f135]) ).

fof(f135,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( ( neq(X0,X1)
              | X0 = X1 )
            & ( X0 != X1
              | ~ neq(X0,X1) ) )
          | ~ ssList(X1) )
      | ~ ssList(X0) ),
    inference(nnf_transformation,[],[f118]) ).

fof(f118,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( neq(X0,X1)
          <=> X0 != X1 )
          | ~ ssList(X1) )
      | ~ ssList(X0) ),
    inference(ennf_transformation,[],[f15]) ).

fof(f15,axiom,
    ! [X0] :
      ( ssList(X0)
     => ! [X1] :
          ( ssList(X1)
         => ( neq(X0,X1)
          <=> X0 != X1 ) ) ),
    file('/export/starexec/sandbox/tmp/tmp.lIJ6K5HylP/Vampire---4.8_20077',ax15) ).

fof(f209,plain,
    ( ~ neq(sK3,nil)
    | spl10_4 ),
    inference(avatar_component_clause,[],[f207]) ).

fof(f207,plain,
    ( spl10_4
  <=> neq(sK3,nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl10_4])]) ).

fof(f226,plain,
    ( spl10_1
    | ~ spl10_2 ),
    inference(avatar_split_clause,[],[f143,f197,f193]) ).

fof(f143,plain,
    ( nil != sK3
    | nil = sK2 ),
    inference(cnf_transformation,[],[f126]) ).

fof(f225,plain,
    ( spl10_7
    | ~ spl10_4 ),
    inference(avatar_split_clause,[],[f144,f207,f222]) ).

fof(f144,plain,
    ( ~ neq(sK3,nil)
    | ssItem(sK4) ),
    inference(cnf_transformation,[],[f126]) ).

fof(f220,plain,
    ( spl10_6
    | ~ spl10_4 ),
    inference(avatar_split_clause,[],[f145,f207,f217]) ).

fof(f145,plain,
    ( ~ neq(sK3,nil)
    | ssList(sK5) ),
    inference(cnf_transformation,[],[f126]) ).

fof(f215,plain,
    ( spl10_5
    | ~ spl10_4 ),
    inference(avatar_split_clause,[],[f146,f207,f212]) ).

fof(f146,plain,
    ( ~ neq(sK3,nil)
    | sK3 = app(cons(sK4,nil),sK5) ),
    inference(cnf_transformation,[],[f126]) ).

fof(f210,plain,
    ( spl10_3
    | ~ spl10_4 ),
    inference(avatar_split_clause,[],[f147,f207,f203]) ).

fof(f147,plain,
    ( ~ neq(sK3,nil)
    | sK2 = app(sK5,cons(sK4,nil)) ),
    inference(cnf_transformation,[],[f126]) ).

fof(f201,plain,
    ( spl10_2
    | spl10_1 ),
    inference(avatar_split_clause,[],[f182,f193,f197]) ).

fof(f182,plain,
    ( nil = sK2
    | nil = sK3 ),
    inference(definition_unfolding,[],[f148,f142,f141]) ).

fof(f141,plain,
    sK1 = sK3,
    inference(cnf_transformation,[],[f126]) ).

fof(f142,plain,
    sK0 = sK2,
    inference(cnf_transformation,[],[f126]) ).

fof(f148,plain,
    ( nil = sK0
    | nil = sK1 ),
    inference(cnf_transformation,[],[f126]) ).

fof(f200,plain,
    ( ~ spl10_1
    | ~ spl10_2 ),
    inference(avatar_split_clause,[],[f179,f197,f193]) ).

fof(f179,plain,
    ( nil != sK3
    | nil != sK2 ),
    inference(definition_unfolding,[],[f151,f141,f142]) ).

fof(f151,plain,
    ( nil != sK1
    | nil != sK0 ),
    inference(cnf_transformation,[],[f126]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.13  % Problem    : SWC029+1 : TPTP v8.1.2. Released v2.4.0.
% 0.13/0.15  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.16/0.36  % Computer : n022.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
% 0.16/0.37  % CPULimit   : 300
% 0.16/0.37  % WCLimit    : 300
% 0.16/0.37  % DateTime   : Tue Apr 30 18:17:13 EDT 2024
% 0.16/0.37  % CPUTime    : 
% 0.16/0.37  This is a FOF_THM_RFO_SEQ problem
% 0.16/0.37  Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox/tmp/tmp.lIJ6K5HylP/Vampire---4.8_20077
% 0.56/0.76  % (20335)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 (2996ds/83Mi)
% 0.56/0.76  % (20329)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 (2996ds/34Mi)
% 0.56/0.76  % (20330)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 (2996ds/51Mi)
% 0.56/0.76  % (20334)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2996ds/45Mi)
% 0.56/0.76  % (20332)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2996ds/33Mi)
% 0.61/0.76  % (20336)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 (2996ds/56Mi)
% 0.61/0.76  % (20331)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.61/0.76  % (20334)First to succeed.
% 0.61/0.77  % (20331)Also succeeded, but the first one will report.
% 0.61/0.77  % (20333)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 (2996ds/34Mi)
% 0.61/0.77  % (20334)Refutation found. Thanks to Tanya!
% 0.61/0.77  % SZS status Theorem for Vampire---4
% 0.61/0.77  % SZS output start Proof for Vampire---4
% See solution above
% 0.61/0.77  % (20334)------------------------------
% 0.61/0.77  % (20334)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.77  % (20334)Termination reason: Refutation
% 0.61/0.77  
% 0.61/0.77  % (20334)Memory used [KB]: 1188
% 0.61/0.77  % (20334)Time elapsed: 0.008 s
% 0.61/0.77  % (20334)Instructions burned: 11 (million)
% 0.61/0.77  % (20334)------------------------------
% 0.61/0.77  % (20334)------------------------------
% 0.61/0.77  % (20325)Success in time 0.386 s
% 0.61/0.77  % Vampire---4.8 exiting
%------------------------------------------------------------------------------