TSTP Solution File: SWC325+1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SWC325+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/sandbox2/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 : Wed May  1 04:01:26 EDT 2024

% Result   : Theorem 0.62s 0.78s
% Output   : Refutation 0.62s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   16
%            Number of leaves      :   19
% Syntax   : Number of formulae    :   78 (   9 unt;   0 def)
%            Number of atoms       :  410 ( 166 equ)
%            Maximal formula atoms :   34 (   5 avg)
%            Number of connectives :  517 ( 185   ~; 158   |; 135   &)
%                                         (   9 <=>;  30  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   18 (   5 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :   12 (  10 usr;   8 prp; 0-2 aty)
%            Number of functors    :    9 (   9 usr;   7 con; 0-2 aty)
%            Number of variables   :  121 (  67   !;  54   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f345,plain,
    $false,
    inference(avatar_sat_refutation,[],[f195,f200,f205,f210,f219,f262,f288,f344]) ).

fof(f344,plain,
    ( ~ spl10_1
    | ~ spl10_3
    | ~ spl10_4
    | ~ spl10_5 ),
    inference(avatar_contradiction_clause,[],[f343]) ).

fof(f343,plain,
    ( $false
    | ~ spl10_1
    | ~ spl10_3
    | ~ spl10_4
    | ~ spl10_5 ),
    inference(subsumption_resolution,[],[f342,f176]) ).

fof(f176,plain,
    ssList(nil),
    inference(cnf_transformation,[],[f17]) ).

fof(f17,axiom,
    ssList(nil),
    file('/export/starexec/sandbox2/tmp/tmp.LUwuxed2fN/Vampire---4.8_10582',ax17) ).

fof(f342,plain,
    ( ~ ssList(nil)
    | ~ spl10_1
    | ~ spl10_3
    | ~ spl10_4
    | ~ spl10_5 ),
    inference(subsumption_resolution,[],[f341,f209]) ).

fof(f209,plain,
    ( ssItem(sK4)
    | ~ spl10_5 ),
    inference(avatar_component_clause,[],[f207]) ).

fof(f207,plain,
    ( spl10_5
  <=> ssItem(sK4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl10_5])]) ).

fof(f341,plain,
    ( ~ ssItem(sK4)
    | ~ ssList(nil)
    | ~ spl10_1
    | ~ spl10_3
    | ~ spl10_4 ),
    inference(resolution,[],[f340,f160]) ).

fof(f160,plain,
    ! [X0,X1] :
      ( ssList(cons(X1,X0))
      | ~ ssItem(X1)
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f107]) ).

fof(f107,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/sandbox2/tmp/tmp.LUwuxed2fN/Vampire---4.8_10582',ax16) ).

fof(f340,plain,
    ( ~ ssList(cons(sK4,nil))
    | ~ spl10_1
    | ~ spl10_3
    | ~ spl10_4 ),
    inference(subsumption_resolution,[],[f339,f204]) ).

fof(f204,plain,
    ( ssList(sK5)
    | ~ spl10_4 ),
    inference(avatar_component_clause,[],[f202]) ).

fof(f202,plain,
    ( spl10_4
  <=> ssList(sK5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl10_4])]) ).

fof(f339,plain,
    ( ~ ssList(cons(sK4,nil))
    | ~ ssList(sK5)
    | ~ spl10_1
    | ~ spl10_3 ),
    inference(subsumption_resolution,[],[f337,f190]) ).

fof(f190,plain,
    ( sK3 = app(sK5,cons(sK4,nil))
    | ~ spl10_1 ),
    inference(avatar_component_clause,[],[f188]) ).

fof(f188,plain,
    ( spl10_1
  <=> sK3 = app(sK5,cons(sK4,nil)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl10_1])]) ).

fof(f337,plain,
    ( sK3 != app(sK5,cons(sK4,nil))
    | ~ ssList(cons(sK4,nil))
    | ~ ssList(sK5)
    | ~ spl10_3 ),
    inference(trivial_inequality_removal,[],[f331]) ).

fof(f331,plain,
    ( sK2 != sK2
    | sK3 != app(sK5,cons(sK4,nil))
    | ~ ssList(cons(sK4,nil))
    | ~ ssList(sK5)
    | ~ spl10_3 ),
    inference(superposition,[],[f177,f199]) ).

fof(f199,plain,
    ( sK2 = app(cons(sK4,nil),sK5)
    | ~ spl10_3 ),
    inference(avatar_component_clause,[],[f197]) ).

fof(f197,plain,
    ( spl10_3
  <=> sK2 = app(cons(sK4,nil),sK5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl10_3])]) ).

fof(f177,plain,
    ! [X6,X7] :
      ( app(X7,X6) != sK2
      | app(X6,X7) != sK3
      | ~ ssList(X7)
      | ~ ssList(X6) ),
    inference(definition_unfolding,[],[f144,f143,f142]) ).

fof(f142,plain,
    sK1 = sK3,
    inference(cnf_transformation,[],[f127]) ).

fof(f127,plain,
    ( ( ~ neq(sK3,nil)
      | ( sK3 = app(sK5,cons(sK4,nil))
        & sK2 = app(cons(sK4,nil),sK5)
        & ssList(sK5)
        & ssItem(sK4) ) )
    & ( nil != sK3
      | nil = sK2 )
    & ! [X6] :
        ( ! [X7] :
            ( app(X7,X6) != sK0
            | app(X6,X7) != sK1
            | ~ ssList(X7) )
        | ~ ssList(X6) )
    & 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])],[f100,f126,f125,f124,f123,f122,f121]) ).

fof(f121,plain,
    ( ? [X0] :
        ( ? [X1] :
            ( ? [X2] :
                ( ? [X3] :
                    ( ( ~ neq(X3,nil)
                      | ? [X4] :
                          ( ? [X5] :
                              ( app(X5,cons(X4,nil)) = X3
                              & app(cons(X4,nil),X5) = X2
                              & ssList(X5) )
                          & ssItem(X4) ) )
                    & ( nil != X3
                      | nil = X2 )
                    & ! [X6] :
                        ( ! [X7] :
                            ( app(X7,X6) != X0
                            | app(X6,X7) != X1
                            | ~ ssList(X7) )
                        | ~ ssList(X6) )
                    & X0 = X2
                    & X1 = X3
                    & ssList(X3) )
                & ssList(X2) )
            & ssList(X1) )
        & ssList(X0) )
   => ( ? [X1] :
          ( ? [X2] :
              ( ? [X3] :
                  ( ( ~ neq(X3,nil)
                    | ? [X4] :
                        ( ? [X5] :
                            ( app(X5,cons(X4,nil)) = X3
                            & app(cons(X4,nil),X5) = X2
                            & ssList(X5) )
                        & ssItem(X4) ) )
                  & ( nil != X3
                    | nil = X2 )
                  & ! [X6] :
                      ( ! [X7] :
                          ( app(X7,X6) != sK0
                          | app(X6,X7) != X1
                          | ~ ssList(X7) )
                      | ~ ssList(X6) )
                  & sK0 = X2
                  & X1 = X3
                  & ssList(X3) )
              & ssList(X2) )
          & ssList(X1) )
      & ssList(sK0) ) ),
    introduced(choice_axiom,[]) ).

fof(f122,plain,
    ( ? [X1] :
        ( ? [X2] :
            ( ? [X3] :
                ( ( ~ neq(X3,nil)
                  | ? [X4] :
                      ( ? [X5] :
                          ( app(X5,cons(X4,nil)) = X3
                          & app(cons(X4,nil),X5) = X2
                          & ssList(X5) )
                      & ssItem(X4) ) )
                & ( nil != X3
                  | nil = X2 )
                & ! [X6] :
                    ( ! [X7] :
                        ( app(X7,X6) != sK0
                        | app(X6,X7) != X1
                        | ~ ssList(X7) )
                    | ~ ssList(X6) )
                & sK0 = X2
                & X1 = X3
                & ssList(X3) )
            & ssList(X2) )
        & ssList(X1) )
   => ( ? [X2] :
          ( ? [X3] :
              ( ( ~ neq(X3,nil)
                | ? [X4] :
                    ( ? [X5] :
                        ( app(X5,cons(X4,nil)) = X3
                        & app(cons(X4,nil),X5) = X2
                        & ssList(X5) )
                    & ssItem(X4) ) )
              & ( nil != X3
                | nil = X2 )
              & ! [X6] :
                  ( ! [X7] :
                      ( app(X7,X6) != sK0
                      | app(X6,X7) != sK1
                      | ~ ssList(X7) )
                  | ~ ssList(X6) )
              & sK0 = X2
              & sK1 = X3
              & ssList(X3) )
          & ssList(X2) )
      & ssList(sK1) ) ),
    introduced(choice_axiom,[]) ).

fof(f123,plain,
    ( ? [X2] :
        ( ? [X3] :
            ( ( ~ neq(X3,nil)
              | ? [X4] :
                  ( ? [X5] :
                      ( app(X5,cons(X4,nil)) = X3
                      & app(cons(X4,nil),X5) = X2
                      & ssList(X5) )
                  & ssItem(X4) ) )
            & ( nil != X3
              | nil = X2 )
            & ! [X6] :
                ( ! [X7] :
                    ( app(X7,X6) != sK0
                    | app(X6,X7) != sK1
                    | ~ ssList(X7) )
                | ~ ssList(X6) )
            & sK0 = X2
            & sK1 = X3
            & ssList(X3) )
        & ssList(X2) )
   => ( ? [X3] :
          ( ( ~ neq(X3,nil)
            | ? [X4] :
                ( ? [X5] :
                    ( app(X5,cons(X4,nil)) = X3
                    & app(cons(X4,nil),X5) = sK2
                    & ssList(X5) )
                & ssItem(X4) ) )
          & ( nil != X3
            | nil = sK2 )
          & ! [X6] :
              ( ! [X7] :
                  ( app(X7,X6) != sK0
                  | app(X6,X7) != sK1
                  | ~ ssList(X7) )
              | ~ ssList(X6) )
          & sK0 = sK2
          & sK1 = X3
          & ssList(X3) )
      & ssList(sK2) ) ),
    introduced(choice_axiom,[]) ).

fof(f124,plain,
    ( ? [X3] :
        ( ( ~ neq(X3,nil)
          | ? [X4] :
              ( ? [X5] :
                  ( app(X5,cons(X4,nil)) = X3
                  & app(cons(X4,nil),X5) = sK2
                  & ssList(X5) )
              & ssItem(X4) ) )
        & ( nil != X3
          | nil = sK2 )
        & ! [X6] :
            ( ! [X7] :
                ( app(X7,X6) != sK0
                | app(X6,X7) != sK1
                | ~ ssList(X7) )
            | ~ ssList(X6) )
        & sK0 = sK2
        & sK1 = X3
        & ssList(X3) )
   => ( ( ~ neq(sK3,nil)
        | ? [X4] :
            ( ? [X5] :
                ( app(X5,cons(X4,nil)) = sK3
                & app(cons(X4,nil),X5) = sK2
                & ssList(X5) )
            & ssItem(X4) ) )
      & ( nil != sK3
        | nil = sK2 )
      & ! [X6] :
          ( ! [X7] :
              ( app(X7,X6) != sK0
              | app(X6,X7) != sK1
              | ~ ssList(X7) )
          | ~ ssList(X6) )
      & sK0 = sK2
      & sK1 = sK3
      & ssList(sK3) ) ),
    introduced(choice_axiom,[]) ).

fof(f125,plain,
    ( ? [X4] :
        ( ? [X5] :
            ( app(X5,cons(X4,nil)) = sK3
            & app(cons(X4,nil),X5) = sK2
            & ssList(X5) )
        & ssItem(X4) )
   => ( ? [X5] :
          ( sK3 = app(X5,cons(sK4,nil))
          & sK2 = app(cons(sK4,nil),X5)
          & ssList(X5) )
      & ssItem(sK4) ) ),
    introduced(choice_axiom,[]) ).

fof(f126,plain,
    ( ? [X5] :
        ( sK3 = app(X5,cons(sK4,nil))
        & sK2 = app(cons(sK4,nil),X5)
        & ssList(X5) )
   => ( sK3 = app(sK5,cons(sK4,nil))
      & sK2 = app(cons(sK4,nil),sK5)
      & ssList(sK5) ) ),
    introduced(choice_axiom,[]) ).

fof(f100,plain,
    ? [X0] :
      ( ? [X1] :
          ( ? [X2] :
              ( ? [X3] :
                  ( ( ~ neq(X3,nil)
                    | ? [X4] :
                        ( ? [X5] :
                            ( app(X5,cons(X4,nil)) = X3
                            & app(cons(X4,nil),X5) = X2
                            & ssList(X5) )
                        & ssItem(X4) ) )
                  & ( nil != X3
                    | nil = X2 )
                  & ! [X6] :
                      ( ! [X7] :
                          ( app(X7,X6) != X0
                          | app(X6,X7) != X1
                          | ~ ssList(X7) )
                      | ~ ssList(X6) )
                  & X0 = X2
                  & X1 = X3
                  & ssList(X3) )
              & ssList(X2) )
          & ssList(X1) )
      & ssList(X0) ),
    inference(flattening,[],[f99]) ).

fof(f99,plain,
    ? [X0] :
      ( ? [X1] :
          ( ? [X2] :
              ( ? [X3] :
                  ( ( ~ neq(X3,nil)
                    | ? [X4] :
                        ( ? [X5] :
                            ( app(X5,cons(X4,nil)) = X3
                            & app(cons(X4,nil),X5) = X2
                            & ssList(X5) )
                        & ssItem(X4) ) )
                  & ( nil != X3
                    | nil = X2 )
                  & ! [X6] :
                      ( ! [X7] :
                          ( app(X7,X6) != X0
                          | app(X6,X7) != X1
                          | ~ ssList(X7) )
                      | ~ ssList(X6) )
                  & X0 = X2
                  & X1 = X3
                  & ssList(X3) )
              & ssList(X2) )
          & ssList(X1) )
      & ssList(X0) ),
    inference(ennf_transformation,[],[f98]) ).

fof(f98,plain,
    ~ ! [X0] :
        ( ssList(X0)
       => ! [X1] :
            ( ssList(X1)
           => ! [X2] :
                ( ssList(X2)
               => ! [X3] :
                    ( ssList(X3)
                   => ( ( neq(X3,nil)
                        & ! [X4] :
                            ( ssItem(X4)
                           => ! [X5] :
                                ( ssList(X5)
                               => ( app(X5,cons(X4,nil)) != X3
                                  | app(cons(X4,nil),X5) != X2 ) ) ) )
                      | ( nil = X3
                        & nil != X2 )
                      | ? [X6] :
                          ( ? [X7] :
                              ( app(X7,X6) = X0
                              & app(X6,X7) = X1
                              & ssList(X7) )
                          & ssList(X6) )
                      | X0 != X2
                      | X1 != X3 ) ) ) ) ),
    inference(rectify,[],[f97]) ).

fof(f97,negated_conjecture,
    ~ ! [X0] :
        ( ssList(X0)
       => ! [X1] :
            ( ssList(X1)
           => ! [X2] :
                ( ssList(X2)
               => ! [X3] :
                    ( ssList(X3)
                   => ( ( neq(X3,nil)
                        & ! [X6] :
                            ( ssItem(X6)
                           => ! [X7] :
                                ( ssList(X7)
                               => ( app(X7,cons(X6,nil)) != X3
                                  | app(cons(X6,nil),X7) != X2 ) ) ) )
                      | ( nil = X3
                        & nil != X2 )
                      | ? [X4] :
                          ( ? [X5] :
                              ( app(X5,X4) = X0
                              & app(X4,X5) = X1
                              & ssList(X5) )
                          & ssList(X4) )
                      | X0 != X2
                      | X1 != X3 ) ) ) ) ),
    inference(negated_conjecture,[],[f96]) ).

fof(f96,conjecture,
    ! [X0] :
      ( ssList(X0)
     => ! [X1] :
          ( ssList(X1)
         => ! [X2] :
              ( ssList(X2)
             => ! [X3] :
                  ( ssList(X3)
                 => ( ( neq(X3,nil)
                      & ! [X6] :
                          ( ssItem(X6)
                         => ! [X7] :
                              ( ssList(X7)
                             => ( app(X7,cons(X6,nil)) != X3
                                | app(cons(X6,nil),X7) != X2 ) ) ) )
                    | ( nil = X3
                      & nil != X2 )
                    | ? [X4] :
                        ( ? [X5] :
                            ( app(X5,X4) = X0
                            & app(X4,X5) = X1
                            & ssList(X5) )
                        & ssList(X4) )
                    | X0 != X2
                    | X1 != X3 ) ) ) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.LUwuxed2fN/Vampire---4.8_10582',co1) ).

fof(f143,plain,
    sK0 = sK2,
    inference(cnf_transformation,[],[f127]) ).

fof(f144,plain,
    ! [X6,X7] :
      ( app(X7,X6) != sK0
      | app(X6,X7) != sK1
      | ~ ssList(X7)
      | ~ ssList(X6) ),
    inference(cnf_transformation,[],[f127]) ).

fof(f288,plain,
    ( ~ spl10_7
    | ~ spl10_6 ),
    inference(avatar_split_clause,[],[f287,f212,f216]) ).

fof(f216,plain,
    ( spl10_7
  <=> nil = sK3 ),
    introduced(avatar_definition,[new_symbols(naming,[spl10_7])]) ).

fof(f212,plain,
    ( spl10_6
  <=> nil = sK2 ),
    introduced(avatar_definition,[new_symbols(naming,[spl10_6])]) ).

fof(f287,plain,
    ( nil != sK3
    | ~ spl10_6 ),
    inference(forward_demodulation,[],[f232,f214]) ).

fof(f214,plain,
    ( nil = sK2
    | ~ spl10_6 ),
    inference(avatar_component_clause,[],[f212]) ).

fof(f232,plain,
    sK2 != sK3,
    inference(subsumption_resolution,[],[f231,f140]) ).

fof(f140,plain,
    ssList(sK2),
    inference(cnf_transformation,[],[f127]) ).

fof(f231,plain,
    ( sK2 != sK3
    | ~ ssList(sK2) ),
    inference(trivial_inequality_removal,[],[f228]) ).

fof(f228,plain,
    ( sK2 != sK3
    | sK2 != sK2
    | ~ ssList(sK2) ),
    inference(superposition,[],[f222,f225]) ).

fof(f225,plain,
    sK2 = app(nil,sK2),
    inference(resolution,[],[f169,f140]) ).

fof(f169,plain,
    ! [X0] :
      ( ~ ssList(X0)
      | app(nil,X0) = X0 ),
    inference(cnf_transformation,[],[f116]) ).

fof(f116,plain,
    ! [X0] :
      ( app(nil,X0) = X0
      | ~ ssList(X0) ),
    inference(ennf_transformation,[],[f28]) ).

fof(f28,axiom,
    ! [X0] :
      ( ssList(X0)
     => app(nil,X0) = X0 ),
    file('/export/starexec/sandbox2/tmp/tmp.LUwuxed2fN/Vampire---4.8_10582',ax28) ).

fof(f222,plain,
    ! [X0] :
      ( app(nil,X0) != sK3
      | sK2 != X0
      | ~ ssList(X0) ),
    inference(subsumption_resolution,[],[f221,f176]) ).

fof(f221,plain,
    ! [X0] :
      ( sK2 != X0
      | app(nil,X0) != sK3
      | ~ ssList(X0)
      | ~ ssList(nil) ),
    inference(duplicate_literal_removal,[],[f220]) ).

fof(f220,plain,
    ! [X0] :
      ( sK2 != X0
      | app(nil,X0) != sK3
      | ~ ssList(X0)
      | ~ ssList(nil)
      | ~ ssList(X0) ),
    inference(superposition,[],[f177,f161]) ).

fof(f161,plain,
    ! [X0] :
      ( app(X0,nil) = X0
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f108]) ).

fof(f108,plain,
    ! [X0] :
      ( app(X0,nil) = X0
      | ~ ssList(X0) ),
    inference(ennf_transformation,[],[f84]) ).

fof(f84,axiom,
    ! [X0] :
      ( ssList(X0)
     => app(X0,nil) = X0 ),
    file('/export/starexec/sandbox2/tmp/tmp.LUwuxed2fN/Vampire---4.8_10582',ax84) ).

fof(f262,plain,
    ( spl10_7
    | spl10_2 ),
    inference(avatar_split_clause,[],[f261,f192,f216]) ).

fof(f192,plain,
    ( spl10_2
  <=> neq(sK3,nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl10_2])]) ).

fof(f261,plain,
    ( nil = sK3
    | spl10_2 ),
    inference(subsumption_resolution,[],[f260,f141]) ).

fof(f141,plain,
    ssList(sK3),
    inference(cnf_transformation,[],[f127]) ).

fof(f260,plain,
    ( nil = sK3
    | ~ ssList(sK3)
    | spl10_2 ),
    inference(subsumption_resolution,[],[f251,f176]) ).

fof(f251,plain,
    ( nil = sK3
    | ~ ssList(nil)
    | ~ ssList(sK3)
    | spl10_2 ),
    inference(resolution,[],[f173,f194]) ).

fof(f194,plain,
    ( ~ neq(sK3,nil)
    | spl10_2 ),
    inference(avatar_component_clause,[],[f192]) ).

fof(f173,plain,
    ! [X0,X1] :
      ( neq(X0,X1)
      | X0 = X1
      | ~ ssList(X1)
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f136]) ).

fof(f136,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( ( neq(X0,X1)
              | X0 = X1 )
            & ( X0 != X1
              | ~ neq(X0,X1) ) )
          | ~ ssList(X1) )
      | ~ ssList(X0) ),
    inference(nnf_transformation,[],[f119]) ).

fof(f119,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/sandbox2/tmp/tmp.LUwuxed2fN/Vampire---4.8_10582',ax15) ).

fof(f219,plain,
    ( spl10_6
    | ~ spl10_7 ),
    inference(avatar_split_clause,[],[f145,f216,f212]) ).

fof(f145,plain,
    ( nil != sK3
    | nil = sK2 ),
    inference(cnf_transformation,[],[f127]) ).

fof(f210,plain,
    ( spl10_5
    | ~ spl10_2 ),
    inference(avatar_split_clause,[],[f146,f192,f207]) ).

fof(f146,plain,
    ( ~ neq(sK3,nil)
    | ssItem(sK4) ),
    inference(cnf_transformation,[],[f127]) ).

fof(f205,plain,
    ( spl10_4
    | ~ spl10_2 ),
    inference(avatar_split_clause,[],[f147,f192,f202]) ).

fof(f147,plain,
    ( ~ neq(sK3,nil)
    | ssList(sK5) ),
    inference(cnf_transformation,[],[f127]) ).

fof(f200,plain,
    ( spl10_3
    | ~ spl10_2 ),
    inference(avatar_split_clause,[],[f148,f192,f197]) ).

fof(f148,plain,
    ( ~ neq(sK3,nil)
    | sK2 = app(cons(sK4,nil),sK5) ),
    inference(cnf_transformation,[],[f127]) ).

fof(f195,plain,
    ( spl10_1
    | ~ spl10_2 ),
    inference(avatar_split_clause,[],[f149,f192,f188]) ).

fof(f149,plain,
    ( ~ neq(sK3,nil)
    | sK3 = app(sK5,cons(sK4,nil)) ),
    inference(cnf_transformation,[],[f127]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13  % Problem    : SWC325+1 : TPTP v8.1.2. Released v2.4.0.
% 0.13/0.14  % 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
% 0.15/0.35  % Computer : n009.cluster.edu
% 0.15/0.35  % Model    : x86_64 x86_64
% 0.15/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35  % Memory   : 8042.1875MB
% 0.15/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35  % CPULimit   : 300
% 0.15/0.35  % WCLimit    : 300
% 0.15/0.35  % DateTime   : Tue Apr 30 18:14:11 EDT 2024
% 0.15/0.35  % CPUTime    : 
% 0.15/0.35  This is a FOF_THM_RFO_SEQ problem
% 0.15/0.36  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.LUwuxed2fN/Vampire---4.8_10582
% 0.62/0.76  % (10781)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)
% 0.62/0.77  % (10782)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)
% 0.62/0.77  % (10775)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)
% 0.62/0.77  % (10777)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2995ds/78Mi)
% 0.62/0.77  % (10778)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)
% 0.62/0.77  % (10776)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)
% 0.62/0.77  % (10780)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)
% 0.62/0.77  % (10779)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)
% 0.62/0.78  % (10777)First to succeed.
% 0.62/0.78  % (10780)Also succeeded, but the first one will report.
% 0.62/0.78  % (10777)Refutation found. Thanks to Tanya!
% 0.62/0.78  % SZS status Theorem for Vampire---4
% 0.62/0.78  % SZS output start Proof for Vampire---4
% See solution above
% 0.62/0.78  % (10777)------------------------------
% 0.62/0.78  % (10777)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.62/0.78  % (10777)Termination reason: Refutation
% 0.62/0.78  
% 0.62/0.78  % (10777)Memory used [KB]: 1179
% 0.62/0.78  % (10777)Time elapsed: 0.015 s
% 0.62/0.78  % (10777)Instructions burned: 13 (million)
% 0.62/0.78  % (10777)------------------------------
% 0.62/0.78  % (10777)------------------------------
% 0.62/0.78  % (10748)Success in time 0.408 s
% 0.62/0.78  % Vampire---4.8 exiting
%------------------------------------------------------------------------------