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

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SWC009+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 : n019.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 03:59:11 EDT 2024

% Result   : Theorem 0.55s 0.75s
% Output   : Refutation 0.55s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   19
%            Number of leaves      :    9
% Syntax   : Number of formulae    :   42 (  12 unt;   0 def)
%            Number of atoms       :  403 ( 163 equ)
%            Maximal formula atoms :   46 (   9 avg)
%            Number of connectives :  583 ( 222   ~; 189   |; 148   &)
%                                         (   0 <=>;  24  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   24 (   8 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    6 (   4 usr;   1 prp; 0-2 aty)
%            Number of functors    :    8 (   8 usr;   6 con; 0-2 aty)
%            Number of variables   :  180 ( 124   !;  56   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f611,plain,
    $false,
    inference(subsumption_resolution,[],[f610,f175]) ).

fof(f175,plain,
    ssList(sK2),
    inference(cnf_transformation,[],[f150]) ).

fof(f150,plain,
    ( ( nil != sK2
      | nil = sK3 )
    & ! [X5] :
        ( ! [X6] :
            ( ! [X7] :
                ( ! [X8] :
                    ( ~ lt(X7,X5)
                    | app(X8,cons(X7,nil)) != sK2
                    | ~ ssList(X8) )
                | ~ ssItem(X7) )
            | app(cons(X5,nil),X6) != sK4
            | ~ ssList(X6) )
        | ~ ssItem(X5) )
    & strictorderedP(sK2)
    & sK3 = app(sK2,sK4)
    & ssList(sK4)
    & ! [X9] :
        ( ! [X10] :
            ( ! [X11] :
                ( app(X9,X11) != sK0
                | app(app(X9,X10),X11) != sK1
                | ~ ssList(X11) )
            | ~ ssList(X10) )
        | ~ ssList(X9) )
    & sK0 = sK2
    & sK1 = sK3
    & ssList(sK3)
    & ssList(sK2)
    & ssList(sK1)
    & ssList(sK0) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4])],[f100,f149,f148,f147,f146,f145]) ).

fof(f145,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) != sK0
                              | app(app(X9,X10),X11) != X1
                              | ~ ssList(X11) )
                          | ~ ssList(X10) )
                      | ~ ssList(X9) )
                  & sK0 = X2
                  & X1 = X3
                  & ssList(X3) )
              & ssList(X2) )
          & ssList(X1) )
      & ssList(sK0) ) ),
    introduced(choice_axiom,[]) ).

fof(f146,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) != sK0
                            | app(app(X9,X10),X11) != X1
                            | ~ ssList(X11) )
                        | ~ ssList(X10) )
                    | ~ ssList(X9) )
                & sK0 = 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) != sK0
                          | app(app(X9,X10),X11) != sK1
                          | ~ ssList(X11) )
                      | ~ ssList(X10) )
                  | ~ ssList(X9) )
              & sK0 = X2
              & sK1 = X3
              & ssList(X3) )
          & ssList(X2) )
      & ssList(sK1) ) ),
    introduced(choice_axiom,[]) ).

fof(f147,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) != sK0
                        | app(app(X9,X10),X11) != sK1
                        | ~ ssList(X11) )
                    | ~ ssList(X10) )
                | ~ ssList(X9) )
            & sK0 = X2
            & sK1 = X3
            & ssList(X3) )
        & ssList(X2) )
   => ( ? [X3] :
          ( ( nil != sK2
            | nil = X3 )
          & ? [X4] :
              ( ! [X5] :
                  ( ! [X6] :
                      ( ! [X7] :
                          ( ! [X8] :
                              ( ~ lt(X7,X5)
                              | app(X8,cons(X7,nil)) != sK2
                              | ~ ssList(X8) )
                          | ~ ssItem(X7) )
                      | app(cons(X5,nil),X6) != X4
                      | ~ ssList(X6) )
                  | ~ ssItem(X5) )
              & strictorderedP(sK2)
              & app(sK2,X4) = X3
              & ssList(X4) )
          & ! [X9] :
              ( ! [X10] :
                  ( ! [X11] :
                      ( app(X9,X11) != sK0
                      | app(app(X9,X10),X11) != sK1
                      | ~ ssList(X11) )
                  | ~ ssList(X10) )
              | ~ ssList(X9) )
          & sK0 = sK2
          & sK1 = X3
          & ssList(X3) )
      & ssList(sK2) ) ),
    introduced(choice_axiom,[]) ).

fof(f148,plain,
    ( ? [X3] :
        ( ( nil != sK2
          | nil = X3 )
        & ? [X4] :
            ( ! [X5] :
                ( ! [X6] :
                    ( ! [X7] :
                        ( ! [X8] :
                            ( ~ lt(X7,X5)
                            | app(X8,cons(X7,nil)) != sK2
                            | ~ ssList(X8) )
                        | ~ ssItem(X7) )
                    | app(cons(X5,nil),X6) != X4
                    | ~ ssList(X6) )
                | ~ ssItem(X5) )
            & strictorderedP(sK2)
            & app(sK2,X4) = X3
            & ssList(X4) )
        & ! [X9] :
            ( ! [X10] :
                ( ! [X11] :
                    ( app(X9,X11) != sK0
                    | app(app(X9,X10),X11) != sK1
                    | ~ ssList(X11) )
                | ~ ssList(X10) )
            | ~ ssList(X9) )
        & sK0 = sK2
        & sK1 = X3
        & ssList(X3) )
   => ( ( nil != sK2
        | nil = sK3 )
      & ? [X4] :
          ( ! [X5] :
              ( ! [X6] :
                  ( ! [X7] :
                      ( ! [X8] :
                          ( ~ lt(X7,X5)
                          | app(X8,cons(X7,nil)) != sK2
                          | ~ ssList(X8) )
                      | ~ ssItem(X7) )
                  | app(cons(X5,nil),X6) != X4
                  | ~ ssList(X6) )
              | ~ ssItem(X5) )
          & strictorderedP(sK2)
          & app(sK2,X4) = sK3
          & ssList(X4) )
      & ! [X9] :
          ( ! [X10] :
              ( ! [X11] :
                  ( app(X9,X11) != sK0
                  | app(app(X9,X10),X11) != sK1
                  | ~ ssList(X11) )
              | ~ ssList(X10) )
          | ~ ssList(X9) )
      & sK0 = sK2
      & sK1 = sK3
      & ssList(sK3) ) ),
    introduced(choice_axiom,[]) ).

fof(f149,plain,
    ( ? [X4] :
        ( ! [X5] :
            ( ! [X6] :
                ( ! [X7] :
                    ( ! [X8] :
                        ( ~ lt(X7,X5)
                        | app(X8,cons(X7,nil)) != sK2
                        | ~ ssList(X8) )
                    | ~ ssItem(X7) )
                | app(cons(X5,nil),X6) != X4
                | ~ ssList(X6) )
            | ~ ssItem(X5) )
        & strictorderedP(sK2)
        & app(sK2,X4) = sK3
        & ssList(X4) )
   => ( ! [X5] :
          ( ! [X6] :
              ( ! [X7] :
                  ( ! [X8] :
                      ( ~ lt(X7,X5)
                      | app(X8,cons(X7,nil)) != sK2
                      | ~ ssList(X8) )
                  | ~ ssItem(X7) )
              | app(cons(X5,nil),X6) != sK4
              | ~ ssList(X6) )
          | ~ ssItem(X5) )
      & strictorderedP(sK2)
      & sK3 = app(sK2,sK4)
      & ssList(sK4) ) ),
    introduced(choice_axiom,[]) ).

fof(f100,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,[],[f99]) ).

fof(f99,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/sandbox2/tmp/tmp.0iG6L7sLjv/Vampire---4.8_1400',co1) ).

fof(f610,plain,
    ~ ssList(sK2),
    inference(trivial_inequality_removal,[],[f609]) ).

fof(f609,plain,
    ( sK2 != sK2
    | ~ ssList(sK2) ),
    inference(superposition,[],[f608,f196]) ).

fof(f196,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.0iG6L7sLjv/Vampire---4.8_1400',ax84) ).

fof(f608,plain,
    sK2 != app(sK2,nil),
    inference(subsumption_resolution,[],[f607,f207]) ).

fof(f207,plain,
    ssList(nil),
    inference(cnf_transformation,[],[f17]) ).

fof(f17,axiom,
    ssList(nil),
    file('/export/starexec/sandbox2/tmp/tmp.0iG6L7sLjv/Vampire---4.8_1400',ax17) ).

fof(f607,plain,
    ( sK2 != app(sK2,nil)
    | ~ ssList(nil) ),
    inference(trivial_inequality_removal,[],[f604]) ).

fof(f604,plain,
    ( sK3 != sK3
    | sK2 != app(sK2,nil)
    | ~ ssList(nil) ),
    inference(superposition,[],[f465,f317]) ).

fof(f317,plain,
    sK3 = app(sK3,nil),
    inference(forward_demodulation,[],[f316,f181]) ).

fof(f181,plain,
    sK3 = app(sK2,sK4),
    inference(cnf_transformation,[],[f150]) ).

fof(f316,plain,
    app(sK2,sK4) = app(sK3,nil),
    inference(subsumption_resolution,[],[f315,f180]) ).

fof(f180,plain,
    ssList(sK4),
    inference(cnf_transformation,[],[f150]) ).

fof(f315,plain,
    ( app(sK2,sK4) = app(sK3,nil)
    | ~ ssList(sK4) ),
    inference(subsumption_resolution,[],[f303,f207]) ).

fof(f303,plain,
    ( app(sK2,sK4) = app(sK3,nil)
    | ~ ssList(nil)
    | ~ ssList(sK4) ),
    inference(superposition,[],[f281,f196]) ).

fof(f281,plain,
    ! [X0] :
      ( app(sK2,app(sK4,X0)) = app(sK3,X0)
      | ~ ssList(X0) ),
    inference(subsumption_resolution,[],[f280,f175]) ).

fof(f280,plain,
    ! [X0] :
      ( app(sK2,app(sK4,X0)) = app(sK3,X0)
      | ~ ssList(X0)
      | ~ ssList(sK2) ),
    inference(subsumption_resolution,[],[f261,f180]) ).

fof(f261,plain,
    ! [X0] :
      ( app(sK2,app(sK4,X0)) = app(sK3,X0)
      | ~ ssList(X0)
      | ~ ssList(sK4)
      | ~ ssList(sK2) ),
    inference(superposition,[],[f200,f181]) ).

fof(f200,plain,
    ! [X2,X0,X1] :
      ( app(app(X0,X1),X2) = app(X0,app(X1,X2))
      | ~ ssList(X2)
      | ~ ssList(X1)
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f110]) ).

fof(f110,plain,
    ! [X0] :
      ( ! [X1] :
          ( ! [X2] :
              ( app(app(X0,X1),X2) = app(X0,app(X1,X2))
              | ~ ssList(X2) )
          | ~ ssList(X1) )
      | ~ ssList(X0) ),
    inference(ennf_transformation,[],[f82]) ).

fof(f82,axiom,
    ! [X0] :
      ( ssList(X0)
     => ! [X1] :
          ( ssList(X1)
         => ! [X2] :
              ( ssList(X2)
             => app(app(X0,X1),X2) = app(X0,app(X1,X2)) ) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.0iG6L7sLjv/Vampire---4.8_1400',ax82) ).

fof(f465,plain,
    ! [X0] :
      ( sK3 != app(sK3,X0)
      | sK2 != app(sK2,X0)
      | ~ ssList(X0) ),
    inference(subsumption_resolution,[],[f464,f175]) ).

fof(f464,plain,
    ! [X0] :
      ( sK3 != app(sK3,X0)
      | sK2 != app(sK2,X0)
      | ~ ssList(X0)
      | ~ ssList(sK2) ),
    inference(subsumption_resolution,[],[f449,f180]) ).

fof(f449,plain,
    ! [X0] :
      ( sK3 != app(sK3,X0)
      | sK2 != app(sK2,X0)
      | ~ ssList(X0)
      | ~ ssList(sK4)
      | ~ ssList(sK2) ),
    inference(superposition,[],[f239,f181]) ).

fof(f239,plain,
    ! [X10,X11,X9] :
      ( app(app(X9,X10),X11) != sK3
      | app(X9,X11) != sK2
      | ~ ssList(X11)
      | ~ ssList(X10)
      | ~ ssList(X9) ),
    inference(definition_unfolding,[],[f179,f178,f177]) ).

fof(f177,plain,
    sK1 = sK3,
    inference(cnf_transformation,[],[f150]) ).

fof(f178,plain,
    sK0 = sK2,
    inference(cnf_transformation,[],[f150]) ).

fof(f179,plain,
    ! [X10,X11,X9] :
      ( app(X9,X11) != sK0
      | app(app(X9,X10),X11) != sK1
      | ~ ssList(X11)
      | ~ ssList(X10)
      | ~ ssList(X9) ),
    inference(cnf_transformation,[],[f150]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem    : SWC009+1 : TPTP v8.1.2. Released v2.4.0.
% 0.07/0.15  % 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
% 0.14/0.36  % Computer : n019.cluster.edu
% 0.14/0.36  % Model    : x86_64 x86_64
% 0.14/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36  % Memory   : 8042.1875MB
% 0.14/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36  % CPULimit   : 300
% 0.14/0.36  % WCLimit    : 300
% 0.14/0.36  % DateTime   : Tue Apr 30 18:18:59 EDT 2024
% 0.14/0.36  % CPUTime    : 
% 0.14/0.36  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/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox2/tmp/tmp.0iG6L7sLjv/Vampire---4.8_1400
% 0.55/0.74  % (1604)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)
% 0.55/0.74  % (1606)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)
% 0.55/0.74  % (1599)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)
% 0.55/0.74  % (1601)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.55/0.74  % (1600)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)
% 0.55/0.74  % (1602)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)
% 0.55/0.74  % (1603)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)
% 0.55/0.75  % (1605)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)
% 0.55/0.75  % (1604)First to succeed.
% 0.55/0.75  % (1601)Also succeeded, but the first one will report.
% 0.55/0.75  % (1604)Refutation found. Thanks to Tanya!
% 0.55/0.75  % SZS status Theorem for Vampire---4
% 0.55/0.75  % SZS output start Proof for Vampire---4
% See solution above
% 0.55/0.75  % (1604)------------------------------
% 0.55/0.75  % (1604)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.55/0.75  % (1604)Termination reason: Refutation
% 0.55/0.75  
% 0.55/0.75  % (1604)Memory used [KB]: 1306
% 0.55/0.75  % (1604)Time elapsed: 0.008 s
% 0.55/0.75  % (1604)Instructions burned: 24 (million)
% 0.55/0.75  % (1604)------------------------------
% 0.55/0.75  % (1604)------------------------------
% 0.55/0.75  % (1561)Success in time 0.375 s
% 0.55/0.75  % Vampire---4.8 exiting
%------------------------------------------------------------------------------