TSTP Solution File: SWC419+1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SWC419+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 : n015.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 : Sun May  5 09:50:59 EDT 2024

% Result   : Theorem 0.58s 0.76s
% Output   : Refutation 0.58s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   20
%            Number of leaves      :   16
% Syntax   : Number of formulae    :   61 (   9 unt;   0 def)
%            Number of atoms       :  393 ( 142 equ)
%            Maximal formula atoms :   38 (   6 avg)
%            Number of connectives :  527 ( 195   ~; 169   |; 136   &)
%                                         (   5 <=>;  22  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   20 (   6 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :   10 (   8 usr;   6 prp; 0-2 aty)
%            Number of functors    :    9 (   9 usr;   7 con; 0-2 aty)
%            Number of variables   :  120 (  69   !;  51   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f242,plain,
    $false,
    inference(avatar_sat_refutation,[],[f196,f201,f206,f211,f221,f240]) ).

fof(f240,plain,
    ( ~ spl10_1
    | ~ spl10_3
    | ~ spl10_4
    | ~ spl10_5 ),
    inference(avatar_contradiction_clause,[],[f239]) ).

fof(f239,plain,
    ( $false
    | ~ spl10_1
    | ~ spl10_3
    | ~ spl10_4
    | ~ spl10_5 ),
    inference(subsumption_resolution,[],[f238,f176]) ).

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

fof(f17,axiom,
    ssList(nil),
    file('/export/starexec/sandbox/tmp/tmp.4y2RYMy238/Vampire---4.8_30513',ax17) ).

fof(f238,plain,
    ( ~ ssList(nil)
    | ~ spl10_1
    | ~ spl10_3
    | ~ spl10_4
    | ~ spl10_5 ),
    inference(subsumption_resolution,[],[f235,f210]) ).

fof(f210,plain,
    ( ssItem(sK4)
    | ~ spl10_5 ),
    inference(avatar_component_clause,[],[f208]) ).

fof(f208,plain,
    ( spl10_5
  <=> ssItem(sK4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl10_5])]) ).

fof(f235,plain,
    ( ~ ssItem(sK4)
    | ~ ssList(nil)
    | ~ spl10_1
    | ~ spl10_3
    | ~ spl10_4
    | ~ spl10_5 ),
    inference(resolution,[],[f160,f234]) ).

fof(f234,plain,
    ( ~ ssList(cons(sK4,nil))
    | ~ spl10_1
    | ~ spl10_3
    | ~ spl10_4
    | ~ spl10_5 ),
    inference(subsumption_resolution,[],[f233,f200]) ).

fof(f200,plain,
    ( sK3 = app(cons(sK4,nil),sK5)
    | ~ spl10_3 ),
    inference(avatar_component_clause,[],[f198]) ).

fof(f198,plain,
    ( spl10_3
  <=> sK3 = app(cons(sK4,nil),sK5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl10_3])]) ).

fof(f233,plain,
    ( sK3 != app(cons(sK4,nil),sK5)
    | ~ ssList(cons(sK4,nil))
    | ~ spl10_1
    | ~ spl10_4
    | ~ spl10_5 ),
    inference(superposition,[],[f230,f169]) ).

fof(f169,plain,
    ! [X0] :
      ( app(nil,X0) = X0
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f115]) ).

fof(f115,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/sandbox/tmp/tmp.4y2RYMy238/Vampire---4.8_30513',ax28) ).

fof(f230,plain,
    ( sK3 != app(app(nil,cons(sK4,nil)),sK5)
    | ~ spl10_1
    | ~ spl10_4
    | ~ spl10_5 ),
    inference(subsumption_resolution,[],[f229,f139]) ).

fof(f139,plain,
    ssList(sK2),
    inference(cnf_transformation,[],[f126]) ).

fof(f126,plain,
    ( ( ~ neq(sK3,nil)
      | ( sK2 = app(sK5,cons(sK4,nil))
        & sK3 = app(cons(sK4,nil),sK5)
        & ssList(sK5)
        & ssItem(sK4) ) )
    & ( nil != sK3
      | nil = sK2 )
    & ! [X6] :
        ( ! [X7] :
            ( ! [X8] :
                ( app(app(X8,cons(X6,nil)),X7) != sK0
                | app(app(X7,cons(X6,nil)),X8) != sK1
                | ~ ssList(X8) )
            | ~ ssList(X7) )
        | ~ ssItem(X6) )
    & neq(sK1,nil)
    & 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] :
                    ( ( ~ 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 )
                    & ! [X6] :
                        ( ! [X7] :
                            ( ! [X8] :
                                ( app(app(X8,cons(X6,nil)),X7) != X0
                                | app(app(X7,cons(X6,nil)),X8) != X1
                                | ~ ssList(X8) )
                            | ~ ssList(X7) )
                        | ~ ssItem(X6) )
                    & neq(X1,nil)
                    & 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)) = X2
                            & app(cons(X4,nil),X5) = X3
                            & ssList(X5) )
                        & ssItem(X4) ) )
                  & ( nil != X3
                    | nil = X2 )
                  & ! [X6] :
                      ( ! [X7] :
                          ( ! [X8] :
                              ( app(app(X8,cons(X6,nil)),X7) != sK0
                              | app(app(X7,cons(X6,nil)),X8) != X1
                              | ~ ssList(X8) )
                          | ~ ssList(X7) )
                      | ~ ssItem(X6) )
                  & neq(X1,nil)
                  & sK0 = X2
                  & X1 = X3
                  & ssList(X3) )
              & ssList(X2) )
          & ssList(X1) )
      & ssList(sK0) ) ),
    introduced(choice_axiom,[]) ).

fof(f121,plain,
    ( ? [X1] :
        ( ? [X2] :
            ( ? [X3] :
                ( ( ~ 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 )
                & ! [X6] :
                    ( ! [X7] :
                        ( ! [X8] :
                            ( app(app(X8,cons(X6,nil)),X7) != sK0
                            | app(app(X7,cons(X6,nil)),X8) != X1
                            | ~ ssList(X8) )
                        | ~ ssList(X7) )
                    | ~ ssItem(X6) )
                & neq(X1,nil)
                & sK0 = X2
                & X1 = X3
                & ssList(X3) )
            & ssList(X2) )
        & ssList(X1) )
   => ( ? [X2] :
          ( ? [X3] :
              ( ( ~ 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 )
              & ! [X6] :
                  ( ! [X7] :
                      ( ! [X8] :
                          ( app(app(X8,cons(X6,nil)),X7) != sK0
                          | app(app(X7,cons(X6,nil)),X8) != sK1
                          | ~ ssList(X8) )
                      | ~ ssList(X7) )
                  | ~ ssItem(X6) )
              & neq(sK1,nil)
              & sK0 = X2
              & sK1 = X3
              & ssList(X3) )
          & ssList(X2) )
      & ssList(sK1) ) ),
    introduced(choice_axiom,[]) ).

fof(f122,plain,
    ( ? [X2] :
        ( ? [X3] :
            ( ( ~ 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 )
            & ! [X6] :
                ( ! [X7] :
                    ( ! [X8] :
                        ( app(app(X8,cons(X6,nil)),X7) != sK0
                        | app(app(X7,cons(X6,nil)),X8) != sK1
                        | ~ ssList(X8) )
                    | ~ ssList(X7) )
                | ~ ssItem(X6) )
            & neq(sK1,nil)
            & sK0 = X2
            & sK1 = X3
            & ssList(X3) )
        & ssList(X2) )
   => ( ? [X3] :
          ( ( ~ 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 )
          & ! [X6] :
              ( ! [X7] :
                  ( ! [X8] :
                      ( app(app(X8,cons(X6,nil)),X7) != sK0
                      | app(app(X7,cons(X6,nil)),X8) != sK1
                      | ~ ssList(X8) )
                  | ~ ssList(X7) )
              | ~ ssItem(X6) )
          & neq(sK1,nil)
          & sK0 = sK2
          & sK1 = X3
          & ssList(X3) )
      & ssList(sK2) ) ),
    introduced(choice_axiom,[]) ).

fof(f123,plain,
    ( ? [X3] :
        ( ( ~ 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 )
        & ! [X6] :
            ( ! [X7] :
                ( ! [X8] :
                    ( app(app(X8,cons(X6,nil)),X7) != sK0
                    | app(app(X7,cons(X6,nil)),X8) != sK1
                    | ~ ssList(X8) )
                | ~ ssList(X7) )
            | ~ ssItem(X6) )
        & neq(sK1,nil)
        & sK0 = sK2
        & sK1 = X3
        & ssList(X3) )
   => ( ( ~ 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 )
      & ! [X6] :
          ( ! [X7] :
              ( ! [X8] :
                  ( app(app(X8,cons(X6,nil)),X7) != sK0
                  | app(app(X7,cons(X6,nil)),X8) != sK1
                  | ~ ssList(X8) )
              | ~ ssList(X7) )
          | ~ ssItem(X6) )
      & neq(sK1,nil)
      & 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] :
                  ( ( ~ 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 )
                  & ! [X6] :
                      ( ! [X7] :
                          ( ! [X8] :
                              ( app(app(X8,cons(X6,nil)),X7) != X0
                              | app(app(X7,cons(X6,nil)),X8) != X1
                              | ~ ssList(X8) )
                          | ~ ssList(X7) )
                      | ~ ssItem(X6) )
                  & neq(X1,nil)
                  & 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] :
                    ( ( neq(X3,nil)
                      & ! [X4] :
                          ( ssItem(X4)
                         => ! [X5] :
                              ( app(X5,cons(X4,nil)) != X2
                              | app(cons(X4,nil),X5) != X3
                              | ~ ssList(X5) ) ) )
                    | ( nil = X3
                      & nil != X2 )
                    | ? [X6] :
                        ( ? [X7] :
                            ( ? [X8] :
                                ( app(app(X8,cons(X6,nil)),X7) = X0
                                & app(app(X7,cons(X6,nil)),X8) = X1
                                & ssList(X8) )
                            & ssList(X7) )
                        & ssItem(X6) )
                    | ~ neq(X1,nil)
                    | X0 != X2
                    | X1 != X3
                    | ~ ssList(X3) ) ) ) ),
    inference(rectify,[],[f97]) ).

fof(f97,negated_conjecture,
    ~ ! [X0] :
        ( ssList(X0)
       => ! [X1] :
            ( ssList(X1)
           => ! [X2] :
                ( ssList(X2)
               => ! [X3] :
                    ( ( neq(X3,nil)
                      & ! [X7] :
                          ( ssItem(X7)
                         => ! [X8] :
                              ( app(X8,cons(X7,nil)) != X2
                              | app(cons(X7,nil),X8) != X3
                              | ~ ssList(X8) ) ) )
                    | ( nil = X3
                      & nil != X2 )
                    | ? [X4] :
                        ( ? [X5] :
                            ( ? [X6] :
                                ( app(app(X6,cons(X4,nil)),X5) = X0
                                & app(app(X5,cons(X4,nil)),X6) = X1
                                & ssList(X6) )
                            & ssList(X5) )
                        & ssItem(X4) )
                    | ~ neq(X1,nil)
                    | X0 != X2
                    | X1 != X3
                    | ~ ssList(X3) ) ) ) ),
    inference(negated_conjecture,[],[f96]) ).

fof(f96,conjecture,
    ! [X0] :
      ( ssList(X0)
     => ! [X1] :
          ( ssList(X1)
         => ! [X2] :
              ( ssList(X2)
             => ! [X3] :
                  ( ( neq(X3,nil)
                    & ! [X7] :
                        ( ssItem(X7)
                       => ! [X8] :
                            ( app(X8,cons(X7,nil)) != X2
                            | app(cons(X7,nil),X8) != X3
                            | ~ ssList(X8) ) ) )
                  | ( nil = X3
                    & nil != X2 )
                  | ? [X4] :
                      ( ? [X5] :
                          ( ? [X6] :
                              ( app(app(X6,cons(X4,nil)),X5) = X0
                              & app(app(X5,cons(X4,nil)),X6) = X1
                              & ssList(X6) )
                          & ssList(X5) )
                      & ssItem(X4) )
                  | ~ neq(X1,nil)
                  | X0 != X2
                  | X1 != X3
                  | ~ ssList(X3) ) ) ) ),
    file('/export/starexec/sandbox/tmp/tmp.4y2RYMy238/Vampire---4.8_30513',co1) ).

fof(f229,plain,
    ( sK3 != app(app(nil,cons(sK4,nil)),sK5)
    | ~ ssList(sK2)
    | ~ spl10_1
    | ~ spl10_4
    | ~ spl10_5 ),
    inference(subsumption_resolution,[],[f227,f176]) ).

fof(f227,plain,
    ( sK3 != app(app(nil,cons(sK4,nil)),sK5)
    | ~ ssList(nil)
    | ~ ssList(sK2)
    | ~ spl10_1
    | ~ spl10_4
    | ~ spl10_5 ),
    inference(trivial_inequality_removal,[],[f226]) ).

fof(f226,plain,
    ( sK2 != sK2
    | sK3 != app(app(nil,cons(sK4,nil)),sK5)
    | ~ ssList(nil)
    | ~ ssList(sK2)
    | ~ spl10_1
    | ~ spl10_4
    | ~ spl10_5 ),
    inference(superposition,[],[f224,f161]) ).

fof(f161,plain,
    ! [X0] :
      ( app(X0,nil) = X0
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f107]) ).

fof(f107,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/sandbox/tmp/tmp.4y2RYMy238/Vampire---4.8_30513',ax84) ).

fof(f224,plain,
    ( ! [X0] :
        ( sK2 != app(sK2,X0)
        | sK3 != app(app(X0,cons(sK4,nil)),sK5)
        | ~ ssList(X0) )
    | ~ spl10_1
    | ~ spl10_4
    | ~ spl10_5 ),
    inference(subsumption_resolution,[],[f223,f210]) ).

fof(f223,plain,
    ( ! [X0] :
        ( sK2 != app(sK2,X0)
        | sK3 != app(app(X0,cons(sK4,nil)),sK5)
        | ~ ssList(X0)
        | ~ ssItem(sK4) )
    | ~ spl10_1
    | ~ spl10_4 ),
    inference(subsumption_resolution,[],[f222,f205]) ).

fof(f205,plain,
    ( ssList(sK5)
    | ~ spl10_4 ),
    inference(avatar_component_clause,[],[f203]) ).

fof(f203,plain,
    ( spl10_4
  <=> ssList(sK5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl10_4])]) ).

fof(f222,plain,
    ( ! [X0] :
        ( sK2 != app(sK2,X0)
        | sK3 != app(app(X0,cons(sK4,nil)),sK5)
        | ~ ssList(sK5)
        | ~ ssList(X0)
        | ~ ssItem(sK4) )
    | ~ spl10_1 ),
    inference(superposition,[],[f177,f191]) ).

fof(f191,plain,
    ( sK2 = app(sK5,cons(sK4,nil))
    | ~ spl10_1 ),
    inference(avatar_component_clause,[],[f189]) ).

fof(f189,plain,
    ( spl10_1
  <=> sK2 = app(sK5,cons(sK4,nil)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl10_1])]) ).

fof(f177,plain,
    ! [X8,X6,X7] :
      ( app(app(X8,cons(X6,nil)),X7) != sK2
      | app(app(X7,cons(X6,nil)),X8) != sK3
      | ~ ssList(X8)
      | ~ ssList(X7)
      | ~ ssItem(X6) ),
    inference(definition_unfolding,[],[f144,f142,f141]) ).

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

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

fof(f144,plain,
    ! [X8,X6,X7] :
      ( app(app(X8,cons(X6,nil)),X7) != sK0
      | app(app(X7,cons(X6,nil)),X8) != sK1
      | ~ ssList(X8)
      | ~ ssList(X7)
      | ~ ssItem(X6) ),
    inference(cnf_transformation,[],[f126]) ).

fof(f160,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.4y2RYMy238/Vampire---4.8_30513',ax16) ).

fof(f221,plain,
    spl10_2,
    inference(avatar_split_clause,[],[f178,f193]) ).

fof(f193,plain,
    ( spl10_2
  <=> neq(sK3,nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl10_2])]) ).

fof(f178,plain,
    neq(sK3,nil),
    inference(definition_unfolding,[],[f143,f141]) ).

fof(f143,plain,
    neq(sK1,nil),
    inference(cnf_transformation,[],[f126]) ).

fof(f211,plain,
    ( spl10_5
    | ~ spl10_2 ),
    inference(avatar_split_clause,[],[f146,f193,f208]) ).

fof(f146,plain,
    ( ~ neq(sK3,nil)
    | ssItem(sK4) ),
    inference(cnf_transformation,[],[f126]) ).

fof(f206,plain,
    ( spl10_4
    | ~ spl10_2 ),
    inference(avatar_split_clause,[],[f147,f193,f203]) ).

fof(f147,plain,
    ( ~ neq(sK3,nil)
    | ssList(sK5) ),
    inference(cnf_transformation,[],[f126]) ).

fof(f201,plain,
    ( spl10_3
    | ~ spl10_2 ),
    inference(avatar_split_clause,[],[f148,f193,f198]) ).

fof(f148,plain,
    ( ~ neq(sK3,nil)
    | sK3 = app(cons(sK4,nil),sK5) ),
    inference(cnf_transformation,[],[f126]) ).

fof(f196,plain,
    ( spl10_1
    | ~ spl10_2 ),
    inference(avatar_split_clause,[],[f149,f193,f189]) ).

fof(f149,plain,
    ( ~ neq(sK3,nil)
    | sK2 = app(sK5,cons(sK4,nil)) ),
    inference(cnf_transformation,[],[f126]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : SWC419+1 : TPTP v8.1.2. Released v2.4.0.
% 0.07/0.14  % 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
% 0.14/0.35  % Computer : n015.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit   : 300
% 0.14/0.35  % WCLimit    : 300
% 0.14/0.35  % DateTime   : Fri May  3 20:23:53 EDT 2024
% 0.14/0.35  % CPUTime    : 
% 0.14/0.35  This is a FOF_THM_RFO_SEQ problem
% 0.14/0.36  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/tmp/tmp.4y2RYMy238/Vampire---4.8_30513
% 0.53/0.75  % (30766)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)
% 0.53/0.75  % (30760)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)
% 0.53/0.75  % (30762)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.53/0.75  % (30761)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)
% 0.53/0.75  % (30764)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)
% 0.53/0.75  % (30765)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)
% 0.53/0.75  % (30767)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)
% 0.53/0.75  % (30762)First to succeed.
% 0.53/0.75  % (30762)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-30756"
% 0.58/0.76  % (30762)Refutation found. Thanks to Tanya!
% 0.58/0.76  % SZS status Theorem for Vampire---4
% 0.58/0.76  % SZS output start Proof for Vampire---4
% See solution above
% 0.58/0.76  % (30762)------------------------------
% 0.58/0.76  % (30762)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.58/0.76  % (30762)Termination reason: Refutation
% 0.58/0.76  
% 0.58/0.76  % (30762)Memory used [KB]: 1161
% 0.58/0.76  % (30762)Time elapsed: 0.007 s
% 0.58/0.76  % (30762)Instructions burned: 10 (million)
% 0.58/0.76  % (30756)Success in time 0.387 s
% 0.58/0.76  % Vampire---4.8 exiting
%------------------------------------------------------------------------------