TSTP Solution File: SWC009+1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SWC009+1 : TPTP v8.2.0. 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 : n003.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 04:35:33 EDT 2024

% Result   : Theorem 0.62s 0.83s
% Output   : Refutation 0.62s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :   14
% Syntax   : Number of formulae    :   53 (  13 unt;   0 def)
%            Number of atoms       :  423 ( 154 equ)
%            Maximal formula atoms :   46 (   7 avg)
%            Number of connectives :  592 ( 222   ~; 195   |; 148   &)
%                                         (   6 <=>;  21  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   24 (   7 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :   12 (  10 usr;   7 prp; 0-2 aty)
%            Number of functors    :    8 (   8 usr;   6 con; 0-2 aty)
%            Number of variables   :  168 ( 112   !;  56   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f661,plain,
    $false,
    inference(avatar_sat_refutation,[],[f598,f600,f602,f614,f655,f657,f660]) ).

fof(f660,plain,
    ( ~ spl52_3
    | spl52_13 ),
    inference(avatar_split_clause,[],[f659,f652,f588]) ).

fof(f588,plain,
    ( spl52_3
  <=> ssList(sK49) ),
    introduced(avatar_definition,[new_symbols(naming,[spl52_3])]) ).

fof(f652,plain,
    ( spl52_13
  <=> sK49 = app(sK49,nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl52_13])]) ).

fof(f659,plain,
    ( ~ ssList(sK49)
    | spl52_13 ),
    inference(trivial_inequality_removal,[],[f658]) ).

fof(f658,plain,
    ( sK49 != sK49
    | ~ ssList(sK49)
    | spl52_13 ),
    inference(superposition,[],[f654,f514]) ).

fof(f514,plain,
    ! [X0] :
      ( app(X0,nil) = X0
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f202]) ).

fof(f202,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/benchmark/theBenchmark.p',ax84) ).

fof(f654,plain,
    ( sK49 != app(sK49,nil)
    | spl52_13 ),
    inference(avatar_component_clause,[],[f652]) ).

fof(f657,plain,
    spl52_11,
    inference(avatar_contradiction_clause,[],[f656]) ).

fof(f656,plain,
    ( $false
    | spl52_11 ),
    inference(resolution,[],[f646,f531]) ).

fof(f531,plain,
    ssList(sK50),
    inference(cnf_transformation,[],[f337]) ).

fof(f337,plain,
    ( ( nil != sK49
      | nil = sK50 )
    & ! [X5] :
        ( ! [X6] :
            ( ! [X7] :
                ( ! [X8] :
                    ( ~ lt(X7,X5)
                    | app(X8,cons(X7,nil)) != sK49
                    | ~ ssList(X8) )
                | ~ ssItem(X7) )
            | app(cons(X5,nil),X6) != sK51
            | ~ ssList(X6) )
        | ~ ssItem(X5) )
    & strictorderedP(sK49)
    & sK50 = app(sK49,sK51)
    & ssList(sK51)
    & ! [X9] :
        ( ! [X10] :
            ( ! [X11] :
                ( app(X9,X11) != sK47
                | app(app(X9,X10),X11) != sK48
                | ~ ssList(X11) )
            | ~ ssList(X10) )
        | ~ ssList(X9) )
    & sK47 = sK49
    & sK48 = sK50
    & ssList(sK50)
    & ssList(sK49)
    & ssList(sK48)
    & ssList(sK47) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK47,sK48,sK49,sK50,sK51])],[f223,f336,f335,f334,f333,f332]) ).

fof(f332,plain,
    ( ? [X0] :
        ( ? [X1] :
            ( ? [X2] :
                ( ? [X3] :
                    ( ( nil != X2
                      | nil = X3 )
                    & ? [X4] :
                        ( ! [X5] :
                            ( ! [X6] :
                                ( ! [X7] :
                                    ( ! [X8] :
                                        ( ~ lt(X7,X5)
                                        | app(X8,cons(X7,nil)) != X2
                                        | ~ ssList(X8) )
                                    | ~ ssItem(X7) )
                                | app(cons(X5,nil),X6) != X4
                                | ~ ssList(X6) )
                            | ~ ssItem(X5) )
                        & strictorderedP(X2)
                        & app(X2,X4) = X3
                        & ssList(X4) )
                    & ! [X9] :
                        ( ! [X10] :
                            ( ! [X11] :
                                ( app(X9,X11) != X0
                                | app(app(X9,X10),X11) != X1
                                | ~ ssList(X11) )
                            | ~ ssList(X10) )
                        | ~ ssList(X9) )
                    & X0 = X2
                    & X1 = X3
                    & ssList(X3) )
                & ssList(X2) )
            & ssList(X1) )
        & ssList(X0) )
   => ( ? [X1] :
          ( ? [X2] :
              ( ? [X3] :
                  ( ( nil != X2
                    | nil = X3 )
                  & ? [X4] :
                      ( ! [X5] :
                          ( ! [X6] :
                              ( ! [X7] :
                                  ( ! [X8] :
                                      ( ~ lt(X7,X5)
                                      | app(X8,cons(X7,nil)) != X2
                                      | ~ ssList(X8) )
                                  | ~ ssItem(X7) )
                              | app(cons(X5,nil),X6) != X4
                              | ~ ssList(X6) )
                          | ~ ssItem(X5) )
                      & strictorderedP(X2)
                      & app(X2,X4) = X3
                      & ssList(X4) )
                  & ! [X9] :
                      ( ! [X10] :
                          ( ! [X11] :
                              ( app(X9,X11) != sK47
                              | app(app(X9,X10),X11) != X1
                              | ~ ssList(X11) )
                          | ~ ssList(X10) )
                      | ~ ssList(X9) )
                  & sK47 = X2
                  & X1 = X3
                  & ssList(X3) )
              & ssList(X2) )
          & ssList(X1) )
      & ssList(sK47) ) ),
    introduced(choice_axiom,[]) ).

fof(f333,plain,
    ( ? [X1] :
        ( ? [X2] :
            ( ? [X3] :
                ( ( nil != X2
                  | nil = X3 )
                & ? [X4] :
                    ( ! [X5] :
                        ( ! [X6] :
                            ( ! [X7] :
                                ( ! [X8] :
                                    ( ~ lt(X7,X5)
                                    | app(X8,cons(X7,nil)) != X2
                                    | ~ ssList(X8) )
                                | ~ ssItem(X7) )
                            | app(cons(X5,nil),X6) != X4
                            | ~ ssList(X6) )
                        | ~ ssItem(X5) )
                    & strictorderedP(X2)
                    & app(X2,X4) = X3
                    & ssList(X4) )
                & ! [X9] :
                    ( ! [X10] :
                        ( ! [X11] :
                            ( app(X9,X11) != sK47
                            | app(app(X9,X10),X11) != X1
                            | ~ ssList(X11) )
                        | ~ ssList(X10) )
                    | ~ ssList(X9) )
                & sK47 = X2
                & X1 = X3
                & ssList(X3) )
            & ssList(X2) )
        & ssList(X1) )
   => ( ? [X2] :
          ( ? [X3] :
              ( ( nil != X2
                | nil = X3 )
              & ? [X4] :
                  ( ! [X5] :
                      ( ! [X6] :
                          ( ! [X7] :
                              ( ! [X8] :
                                  ( ~ lt(X7,X5)
                                  | app(X8,cons(X7,nil)) != X2
                                  | ~ ssList(X8) )
                              | ~ ssItem(X7) )
                          | app(cons(X5,nil),X6) != X4
                          | ~ ssList(X6) )
                      | ~ ssItem(X5) )
                  & strictorderedP(X2)
                  & app(X2,X4) = X3
                  & ssList(X4) )
              & ! [X9] :
                  ( ! [X10] :
                      ( ! [X11] :
                          ( app(X9,X11) != sK47
                          | app(app(X9,X10),X11) != sK48
                          | ~ ssList(X11) )
                      | ~ ssList(X10) )
                  | ~ ssList(X9) )
              & sK47 = X2
              & sK48 = X3
              & ssList(X3) )
          & ssList(X2) )
      & ssList(sK48) ) ),
    introduced(choice_axiom,[]) ).

fof(f334,plain,
    ( ? [X2] :
        ( ? [X3] :
            ( ( nil != X2
              | nil = X3 )
            & ? [X4] :
                ( ! [X5] :
                    ( ! [X6] :
                        ( ! [X7] :
                            ( ! [X8] :
                                ( ~ lt(X7,X5)
                                | app(X8,cons(X7,nil)) != X2
                                | ~ ssList(X8) )
                            | ~ ssItem(X7) )
                        | app(cons(X5,nil),X6) != X4
                        | ~ ssList(X6) )
                    | ~ ssItem(X5) )
                & strictorderedP(X2)
                & app(X2,X4) = X3
                & ssList(X4) )
            & ! [X9] :
                ( ! [X10] :
                    ( ! [X11] :
                        ( app(X9,X11) != sK47
                        | app(app(X9,X10),X11) != sK48
                        | ~ ssList(X11) )
                    | ~ ssList(X10) )
                | ~ ssList(X9) )
            & sK47 = X2
            & sK48 = X3
            & ssList(X3) )
        & ssList(X2) )
   => ( ? [X3] :
          ( ( nil != sK49
            | nil = X3 )
          & ? [X4] :
              ( ! [X5] :
                  ( ! [X6] :
                      ( ! [X7] :
                          ( ! [X8] :
                              ( ~ lt(X7,X5)
                              | app(X8,cons(X7,nil)) != sK49
                              | ~ ssList(X8) )
                          | ~ ssItem(X7) )
                      | app(cons(X5,nil),X6) != X4
                      | ~ ssList(X6) )
                  | ~ ssItem(X5) )
              & strictorderedP(sK49)
              & app(sK49,X4) = X3
              & ssList(X4) )
          & ! [X9] :
              ( ! [X10] :
                  ( ! [X11] :
                      ( app(X9,X11) != sK47
                      | app(app(X9,X10),X11) != sK48
                      | ~ ssList(X11) )
                  | ~ ssList(X10) )
              | ~ ssList(X9) )
          & sK47 = sK49
          & sK48 = X3
          & ssList(X3) )
      & ssList(sK49) ) ),
    introduced(choice_axiom,[]) ).

fof(f335,plain,
    ( ? [X3] :
        ( ( nil != sK49
          | nil = X3 )
        & ? [X4] :
            ( ! [X5] :
                ( ! [X6] :
                    ( ! [X7] :
                        ( ! [X8] :
                            ( ~ lt(X7,X5)
                            | app(X8,cons(X7,nil)) != sK49
                            | ~ ssList(X8) )
                        | ~ ssItem(X7) )
                    | app(cons(X5,nil),X6) != X4
                    | ~ ssList(X6) )
                | ~ ssItem(X5) )
            & strictorderedP(sK49)
            & app(sK49,X4) = X3
            & ssList(X4) )
        & ! [X9] :
            ( ! [X10] :
                ( ! [X11] :
                    ( app(X9,X11) != sK47
                    | app(app(X9,X10),X11) != sK48
                    | ~ ssList(X11) )
                | ~ ssList(X10) )
            | ~ ssList(X9) )
        & sK47 = sK49
        & sK48 = X3
        & ssList(X3) )
   => ( ( nil != sK49
        | nil = sK50 )
      & ? [X4] :
          ( ! [X5] :
              ( ! [X6] :
                  ( ! [X7] :
                      ( ! [X8] :
                          ( ~ lt(X7,X5)
                          | app(X8,cons(X7,nil)) != sK49
                          | ~ ssList(X8) )
                      | ~ ssItem(X7) )
                  | app(cons(X5,nil),X6) != X4
                  | ~ ssList(X6) )
              | ~ ssItem(X5) )
          & strictorderedP(sK49)
          & app(sK49,X4) = sK50
          & ssList(X4) )
      & ! [X9] :
          ( ! [X10] :
              ( ! [X11] :
                  ( app(X9,X11) != sK47
                  | app(app(X9,X10),X11) != sK48
                  | ~ ssList(X11) )
              | ~ ssList(X10) )
          | ~ ssList(X9) )
      & sK47 = sK49
      & sK48 = sK50
      & ssList(sK50) ) ),
    introduced(choice_axiom,[]) ).

fof(f336,plain,
    ( ? [X4] :
        ( ! [X5] :
            ( ! [X6] :
                ( ! [X7] :
                    ( ! [X8] :
                        ( ~ lt(X7,X5)
                        | app(X8,cons(X7,nil)) != sK49
                        | ~ ssList(X8) )
                    | ~ ssItem(X7) )
                | app(cons(X5,nil),X6) != X4
                | ~ ssList(X6) )
            | ~ ssItem(X5) )
        & strictorderedP(sK49)
        & app(sK49,X4) = sK50
        & ssList(X4) )
   => ( ! [X5] :
          ( ! [X6] :
              ( ! [X7] :
                  ( ! [X8] :
                      ( ~ lt(X7,X5)
                      | app(X8,cons(X7,nil)) != sK49
                      | ~ ssList(X8) )
                  | ~ ssItem(X7) )
              | app(cons(X5,nil),X6) != sK51
              | ~ ssList(X6) )
          | ~ ssItem(X5) )
      & strictorderedP(sK49)
      & sK50 = app(sK49,sK51)
      & ssList(sK51) ) ),
    introduced(choice_axiom,[]) ).

fof(f223,plain,
    ? [X0] :
      ( ? [X1] :
          ( ? [X2] :
              ( ? [X3] :
                  ( ( nil != X2
                    | nil = X3 )
                  & ? [X4] :
                      ( ! [X5] :
                          ( ! [X6] :
                              ( ! [X7] :
                                  ( ! [X8] :
                                      ( ~ lt(X7,X5)
                                      | app(X8,cons(X7,nil)) != X2
                                      | ~ ssList(X8) )
                                  | ~ ssItem(X7) )
                              | app(cons(X5,nil),X6) != X4
                              | ~ ssList(X6) )
                          | ~ ssItem(X5) )
                      & strictorderedP(X2)
                      & app(X2,X4) = X3
                      & ssList(X4) )
                  & ! [X9] :
                      ( ! [X10] :
                          ( ! [X11] :
                              ( app(X9,X11) != X0
                              | app(app(X9,X10),X11) != X1
                              | ~ ssList(X11) )
                          | ~ ssList(X10) )
                      | ~ ssList(X9) )
                  & X0 = X2
                  & X1 = X3
                  & ssList(X3) )
              & ssList(X2) )
          & ssList(X1) )
      & ssList(X0) ),
    inference(flattening,[],[f222]) ).

fof(f222,plain,
    ? [X0] :
      ( ? [X1] :
          ( ? [X2] :
              ( ? [X3] :
                  ( ( nil != X2
                    | nil = X3 )
                  & ? [X4] :
                      ( ! [X5] :
                          ( ! [X6] :
                              ( ! [X7] :
                                  ( ! [X8] :
                                      ( ~ lt(X7,X5)
                                      | app(X8,cons(X7,nil)) != X2
                                      | ~ ssList(X8) )
                                  | ~ ssItem(X7) )
                              | app(cons(X5,nil),X6) != X4
                              | ~ ssList(X6) )
                          | ~ ssItem(X5) )
                      & strictorderedP(X2)
                      & app(X2,X4) = X3
                      & ssList(X4) )
                  & ! [X9] :
                      ( ! [X10] :
                          ( ! [X11] :
                              ( app(X9,X11) != X0
                              | app(app(X9,X10),X11) != X1
                              | ~ ssList(X11) )
                          | ~ ssList(X10) )
                      | ~ ssList(X9) )
                  & 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)
                   => ( ( nil = X2
                        & nil != X3 )
                      | ! [X4] :
                          ( ssList(X4)
                         => ( ? [X5] :
                                ( ? [X6] :
                                    ( ? [X7] :
                                        ( ? [X8] :
                                            ( lt(X7,X5)
                                            & app(X8,cons(X7,nil)) = X2
                                            & ssList(X8) )
                                        & ssItem(X7) )
                                    & app(cons(X5,nil),X6) = X4
                                    & ssList(X6) )
                                & ssItem(X5) )
                            | ~ strictorderedP(X2)
                            | app(X2,X4) != X3 ) )
                      | ? [X9] :
                          ( ? [X10] :
                              ( ? [X11] :
                                  ( app(X9,X11) = X0
                                  & app(app(X9,X10),X11) = X1
                                  & ssList(X11) )
                              & ssList(X10) )
                          & ssList(X9) )
                      | X0 != X2
                      | X1 != X3 ) ) ) ) ),
    inference(rectify,[],[f97]) ).

fof(f97,negated_conjecture,
    ~ ! [X0] :
        ( ssList(X0)
       => ! [X1] :
            ( ssList(X1)
           => ! [X2] :
                ( ssList(X2)
               => ! [X3] :
                    ( ssList(X3)
                   => ( ( nil = X2
                        & nil != X3 )
                      | ! [X7] :
                          ( ssList(X7)
                         => ( ? [X8] :
                                ( ? [X9] :
                                    ( ? [X10] :
                                        ( ? [X11] :
                                            ( lt(X10,X8)
                                            & app(X11,cons(X10,nil)) = X2
                                            & ssList(X11) )
                                        & ssItem(X10) )
                                    & app(cons(X8,nil),X9) = X7
                                    & ssList(X9) )
                                & ssItem(X8) )
                            | ~ strictorderedP(X2)
                            | app(X2,X7) != X3 ) )
                      | ? [X4] :
                          ( ? [X5] :
                              ( ? [X6] :
                                  ( app(X4,X6) = X0
                                  & app(app(X4,X5),X6) = X1
                                  & ssList(X6) )
                              & 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)
                 => ( ( nil = X2
                      & nil != X3 )
                    | ! [X7] :
                        ( ssList(X7)
                       => ( ? [X8] :
                              ( ? [X9] :
                                  ( ? [X10] :
                                      ( ? [X11] :
                                          ( lt(X10,X8)
                                          & app(X11,cons(X10,nil)) = X2
                                          & ssList(X11) )
                                      & ssItem(X10) )
                                  & app(cons(X8,nil),X9) = X7
                                  & ssList(X9) )
                              & ssItem(X8) )
                          | ~ strictorderedP(X2)
                          | app(X2,X7) != X3 ) )
                    | ? [X4] :
                        ( ? [X5] :
                            ( ? [X6] :
                                ( app(X4,X6) = X0
                                & app(app(X4,X5),X6) = X1
                                & ssList(X6) )
                            & ssList(X5) )
                        & ssList(X4) )
                    | X0 != X2
                    | X1 != X3 ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).

fof(f646,plain,
    ( ~ ssList(sK50)
    | spl52_11 ),
    inference(avatar_component_clause,[],[f644]) ).

fof(f644,plain,
    ( spl52_11
  <=> ssList(sK50) ),
    introduced(avatar_definition,[new_symbols(naming,[spl52_11])]) ).

fof(f655,plain,
    ( ~ spl52_11
    | ~ spl52_13
    | ~ spl52_6
    | ~ spl52_5 ),
    inference(avatar_split_clause,[],[f633,f596,f606,f652,f644]) ).

fof(f606,plain,
    ( spl52_6
  <=> ssList(nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl52_6])]) ).

fof(f596,plain,
    ( spl52_5
  <=> ! [X0] :
        ( sK50 != app(sK50,X0)
        | ~ ssList(X0)
        | sK49 != app(sK49,X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl52_5])]) ).

fof(f633,plain,
    ( ~ ssList(nil)
    | sK49 != app(sK49,nil)
    | ~ ssList(sK50)
    | ~ spl52_5 ),
    inference(trivial_inequality_removal,[],[f632]) ).

fof(f632,plain,
    ( sK50 != sK50
    | ~ ssList(nil)
    | sK49 != app(sK49,nil)
    | ~ ssList(sK50)
    | ~ spl52_5 ),
    inference(superposition,[],[f597,f514]) ).

fof(f597,plain,
    ( ! [X0] :
        ( sK50 != app(sK50,X0)
        | ~ ssList(X0)
        | sK49 != app(sK49,X0) )
    | ~ spl52_5 ),
    inference(avatar_component_clause,[],[f596]) ).

fof(f614,plain,
    spl52_6,
    inference(avatar_contradiction_clause,[],[f613]) ).

fof(f613,plain,
    ( $false
    | spl52_6 ),
    inference(resolution,[],[f608,f421]) ).

fof(f421,plain,
    ssList(nil),
    inference(cnf_transformation,[],[f17]) ).

fof(f17,axiom,
    ssList(nil),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax17) ).

fof(f608,plain,
    ( ~ ssList(nil)
    | spl52_6 ),
    inference(avatar_component_clause,[],[f606]) ).

fof(f602,plain,
    spl52_4,
    inference(avatar_contradiction_clause,[],[f601]) ).

fof(f601,plain,
    ( $false
    | spl52_4 ),
    inference(resolution,[],[f594,f535]) ).

fof(f535,plain,
    ssList(sK51),
    inference(cnf_transformation,[],[f337]) ).

fof(f594,plain,
    ( ~ ssList(sK51)
    | spl52_4 ),
    inference(avatar_component_clause,[],[f592]) ).

fof(f592,plain,
    ( spl52_4
  <=> ssList(sK51) ),
    introduced(avatar_definition,[new_symbols(naming,[spl52_4])]) ).

fof(f600,plain,
    spl52_3,
    inference(avatar_contradiction_clause,[],[f599]) ).

fof(f599,plain,
    ( $false
    | spl52_3 ),
    inference(resolution,[],[f590,f530]) ).

fof(f530,plain,
    ssList(sK49),
    inference(cnf_transformation,[],[f337]) ).

fof(f590,plain,
    ( ~ ssList(sK49)
    | spl52_3 ),
    inference(avatar_component_clause,[],[f588]) ).

fof(f598,plain,
    ( ~ spl52_3
    | ~ spl52_4
    | spl52_5 ),
    inference(avatar_split_clause,[],[f586,f596,f592,f588]) ).

fof(f586,plain,
    ! [X0] :
      ( sK50 != app(sK50,X0)
      | sK49 != app(sK49,X0)
      | ~ ssList(X0)
      | ~ ssList(sK51)
      | ~ ssList(sK49) ),
    inference(superposition,[],[f540,f536]) ).

fof(f536,plain,
    sK50 = app(sK49,sK51),
    inference(cnf_transformation,[],[f337]) ).

fof(f540,plain,
    ! [X10,X11,X9] :
      ( app(app(X9,X10),X11) != sK50
      | app(X9,X11) != sK49
      | ~ ssList(X11)
      | ~ ssList(X10)
      | ~ ssList(X9) ),
    inference(definition_unfolding,[],[f534,f533,f532]) ).

fof(f532,plain,
    sK48 = sK50,
    inference(cnf_transformation,[],[f337]) ).

fof(f533,plain,
    sK47 = sK49,
    inference(cnf_transformation,[],[f337]) ).

fof(f534,plain,
    ! [X10,X11,X9] :
      ( app(X9,X11) != sK47
      | app(app(X9,X10),X11) != sK48
      | ~ ssList(X11)
      | ~ ssList(X10)
      | ~ ssList(X9) ),
    inference(cnf_transformation,[],[f337]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.15  % Problem    : SWC009+1 : TPTP v8.2.0. Released v2.4.0.
% 0.08/0.17  % 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
% 0.16/0.38  % Computer : n003.cluster.edu
% 0.16/0.38  % Model    : x86_64 x86_64
% 0.16/0.38  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.38  % Memory   : 8042.1875MB
% 0.16/0.38  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.16/0.38  % CPULimit   : 300
% 0.16/0.38  % WCLimit    : 300
% 0.16/0.38  % DateTime   : Sun May 19 03:10:53 EDT 2024
% 0.16/0.39  % CPUTime    : 
% 0.16/0.39  This is a FOF_THM_RFO_SEQ problem
% 0.16/0.39  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
% 0.62/0.80  % (2791)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 (2996ds/56Mi)
% 0.62/0.80  % (2784)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 (2996ds/34Mi)
% 0.62/0.80  % (2790)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 (2996ds/83Mi)
% 0.62/0.81  % (2786)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on theBenchmark for (2996ds/78Mi)
% 0.62/0.81  % (2787)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on theBenchmark for (2996ds/33Mi)
% 0.62/0.81  % (2785)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 (2996ds/51Mi)
% 0.62/0.81  % (2789)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on theBenchmark for (2996ds/45Mi)
% 0.62/0.82  % (2785)First to succeed.
% 0.62/0.82  % (2785)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2783"
% 0.62/0.82  % (2788)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 (2996ds/34Mi)
% 0.62/0.82  % (2789)Also succeeded, but the first one will report.
% 0.62/0.83  % (2786)Also succeeded, but the first one will report.
% 0.62/0.83  % (2785)Refutation found. Thanks to Tanya!
% 0.62/0.83  % SZS status Theorem for theBenchmark
% 0.62/0.83  % SZS output start Proof for theBenchmark
% See solution above
% 0.62/0.83  % (2785)------------------------------
% 0.62/0.83  % (2785)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.62/0.83  % (2785)Termination reason: Refutation
% 0.62/0.83  
% 0.62/0.83  % (2785)Memory used [KB]: 1471
% 0.62/0.83  % (2785)Time elapsed: 0.038 s
% 0.62/0.83  % (2785)Instructions burned: 21 (million)
% 0.62/0.83  % (2783)Success in time 0.422 s
% 0.62/0.83  % Vampire---4.8 exiting
%------------------------------------------------------------------------------