TSTP Solution File: SWC232+1 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : SWC232+1 : TPTP v8.1.0. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s

% Computer : n016.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 Aug 31 18:39:46 EDT 2022

% Result   : Theorem 1.99s 0.61s
% Output   : Refutation 1.99s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   21
%            Number of leaves      :   21
% Syntax   : Number of formulae    :   84 (   7 unt;   0 def)
%            Number of atoms       :  678 ( 142 equ)
%            Maximal formula atoms :   52 (   8 avg)
%            Number of connectives :  906 ( 312   ~; 319   |; 238   &)
%                                         (   4 <=>;  33  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   27 (   8 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :   11 (   9 usr;   5 prp; 0-2 aty)
%            Number of functors    :   13 (  13 usr;   8 con; 0-3 aty)
%            Number of variables   :  228 ( 128   !; 100   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f462,plain,
    $false,
    inference(avatar_sat_refutation,[],[f266,f267,f448,f454,f461]) ).

fof(f461,plain,
    ( spl14_1
    | ~ spl14_4
    | ~ spl14_9
    | ~ spl14_10 ),
    inference(avatar_contradiction_clause,[],[f460]) ).

fof(f460,plain,
    ( $false
    | spl14_1
    | ~ spl14_4
    | ~ spl14_9
    | ~ spl14_10 ),
    inference(subsumption_resolution,[],[f459,f447]) ).

fof(f447,plain,
    ( ssItem(sK11(sK3(sK4),nil,sK2(sK4)))
    | ~ spl14_10 ),
    inference(avatar_component_clause,[],[f445]) ).

fof(f445,plain,
    ( spl14_10
  <=> ssItem(sK11(sK3(sK4),nil,sK2(sK4))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl14_10])]) ).

fof(f459,plain,
    ( ~ ssItem(sK11(sK3(sK4),nil,sK2(sK4)))
    | spl14_1
    | ~ spl14_4
    | ~ spl14_9 ),
    inference(resolution,[],[f458,f184]) ).

fof(f184,plain,
    ! [X0] :
      ( ~ memberP(nil,X0)
      | ~ ssItem(X0) ),
    inference(cnf_transformation,[],[f106]) ).

fof(f106,plain,
    ! [X0] :
      ( ~ memberP(nil,X0)
      | ~ ssItem(X0) ),
    inference(ennf_transformation,[],[f38]) ).

fof(f38,axiom,
    ! [X0] :
      ( ssItem(X0)
     => ~ memberP(nil,X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax38) ).

fof(f458,plain,
    ( memberP(nil,sK11(sK3(sK4),nil,sK2(sK4)))
    | spl14_1
    | ~ spl14_4
    | ~ spl14_9 ),
    inference(subsumption_resolution,[],[f457,f245]) ).

fof(f245,plain,
    ( nil != sK4
    | spl14_1 ),
    inference(avatar_component_clause,[],[f244]) ).

fof(f244,plain,
    ( spl14_1
  <=> nil = sK4 ),
    introduced(avatar_definition,[new_symbols(naming,[spl14_1])]) ).

fof(f457,plain,
    ( nil = sK4
    | memberP(nil,sK11(sK3(sK4),nil,sK2(sK4)))
    | ~ spl14_4
    | ~ spl14_9 ),
    inference(subsumption_resolution,[],[f456,f197]) ).

fof(f197,plain,
    ssList(sK4),
    inference(cnf_transformation,[],[f162]) ).

fof(f162,plain,
    ( ssList(sK5)
    & ssList(sK6)
    & sK6 = sK4
    & nil != sK4
    & sK7 = sK5
    & ( ( ssItem(sK8)
        & sK6 = app(app(sK9,cons(sK8,nil)),sK10)
        & ssList(sK10)
        & ! [X7] :
            ( ~ memberP(sK10,X7)
            | ~ ssItem(X7)
            | ~ lt(sK8,X7)
            | leq(sK8,X7)
            | ~ memberP(sK9,X7) )
        & ssList(sK9) )
      | nil = sK6 )
    & ssList(sK7)
    & ! [X8] :
        ( ~ ssItem(X8)
        | ! [X9] :
            ( ~ ssList(X9)
            | ! [X10] :
                ( app(app(X9,cons(X8,nil)),X10) != sK4
                | ( ssItem(sK11(X8,X9,X10))
                  & ~ lt(X8,sK11(X8,X9,X10))
                  & leq(X8,sK11(X8,X9,X10))
                  & memberP(X9,sK11(X8,X9,X10))
                  & memberP(X10,sK11(X8,X9,X10)) )
                | ~ ssList(X10) ) ) )
    & ssList(sK4) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK4,sK5,sK6,sK7,sK8,sK9,sK10,sK11])],[f153,f161,f160,f159,f158,f157,f156,f155,f154]) ).

fof(f154,plain,
    ( ? [X0] :
        ( ? [X1] :
            ( ssList(X1)
            & ? [X2] :
                ( ssList(X2)
                & ? [X3] :
                    ( X0 = X2
                    & nil != X0
                    & X1 = X3
                    & ( ? [X4] :
                          ( ssItem(X4)
                          & ? [X5] :
                              ( ? [X6] :
                                  ( app(app(X5,cons(X4,nil)),X6) = X2
                                  & ssList(X6)
                                  & ! [X7] :
                                      ( ~ memberP(X6,X7)
                                      | ~ ssItem(X7)
                                      | ~ lt(X4,X7)
                                      | leq(X4,X7)
                                      | ~ memberP(X5,X7) ) )
                              & ssList(X5) ) )
                      | nil = X2 )
                    & ssList(X3)
                    & ! [X8] :
                        ( ~ ssItem(X8)
                        | ! [X9] :
                            ( ~ ssList(X9)
                            | ! [X10] :
                                ( app(app(X9,cons(X8,nil)),X10) != X0
                                | ? [X11] :
                                    ( ssItem(X11)
                                    & ~ lt(X8,X11)
                                    & leq(X8,X11)
                                    & memberP(X9,X11)
                                    & memberP(X10,X11) )
                                | ~ ssList(X10) ) ) ) ) ) )
        & ssList(X0) )
   => ( ? [X1] :
          ( ssList(X1)
          & ? [X2] :
              ( ssList(X2)
              & ? [X3] :
                  ( sK4 = X2
                  & nil != sK4
                  & X1 = X3
                  & ( ? [X4] :
                        ( ssItem(X4)
                        & ? [X5] :
                            ( ? [X6] :
                                ( app(app(X5,cons(X4,nil)),X6) = X2
                                & ssList(X6)
                                & ! [X7] :
                                    ( ~ memberP(X6,X7)
                                    | ~ ssItem(X7)
                                    | ~ lt(X4,X7)
                                    | leq(X4,X7)
                                    | ~ memberP(X5,X7) ) )
                            & ssList(X5) ) )
                    | nil = X2 )
                  & ssList(X3)
                  & ! [X8] :
                      ( ~ ssItem(X8)
                      | ! [X9] :
                          ( ~ ssList(X9)
                          | ! [X10] :
                              ( app(app(X9,cons(X8,nil)),X10) != sK4
                              | ? [X11] :
                                  ( ssItem(X11)
                                  & ~ lt(X8,X11)
                                  & leq(X8,X11)
                                  & memberP(X9,X11)
                                  & memberP(X10,X11) )
                              | ~ ssList(X10) ) ) ) ) ) )
      & ssList(sK4) ) ),
    introduced(choice_axiom,[]) ).

fof(f155,plain,
    ( ? [X1] :
        ( ssList(X1)
        & ? [X2] :
            ( ssList(X2)
            & ? [X3] :
                ( sK4 = X2
                & nil != sK4
                & X1 = X3
                & ( ? [X4] :
                      ( ssItem(X4)
                      & ? [X5] :
                          ( ? [X6] :
                              ( app(app(X5,cons(X4,nil)),X6) = X2
                              & ssList(X6)
                              & ! [X7] :
                                  ( ~ memberP(X6,X7)
                                  | ~ ssItem(X7)
                                  | ~ lt(X4,X7)
                                  | leq(X4,X7)
                                  | ~ memberP(X5,X7) ) )
                          & ssList(X5) ) )
                  | nil = X2 )
                & ssList(X3)
                & ! [X8] :
                    ( ~ ssItem(X8)
                    | ! [X9] :
                        ( ~ ssList(X9)
                        | ! [X10] :
                            ( app(app(X9,cons(X8,nil)),X10) != sK4
                            | ? [X11] :
                                ( ssItem(X11)
                                & ~ lt(X8,X11)
                                & leq(X8,X11)
                                & memberP(X9,X11)
                                & memberP(X10,X11) )
                            | ~ ssList(X10) ) ) ) ) ) )
   => ( ssList(sK5)
      & ? [X2] :
          ( ssList(X2)
          & ? [X3] :
              ( sK4 = X2
              & nil != sK4
              & sK5 = X3
              & ( ? [X4] :
                    ( ssItem(X4)
                    & ? [X5] :
                        ( ? [X6] :
                            ( app(app(X5,cons(X4,nil)),X6) = X2
                            & ssList(X6)
                            & ! [X7] :
                                ( ~ memberP(X6,X7)
                                | ~ ssItem(X7)
                                | ~ lt(X4,X7)
                                | leq(X4,X7)
                                | ~ memberP(X5,X7) ) )
                        & ssList(X5) ) )
                | nil = X2 )
              & ssList(X3)
              & ! [X8] :
                  ( ~ ssItem(X8)
                  | ! [X9] :
                      ( ~ ssList(X9)
                      | ! [X10] :
                          ( app(app(X9,cons(X8,nil)),X10) != sK4
                          | ? [X11] :
                              ( ssItem(X11)
                              & ~ lt(X8,X11)
                              & leq(X8,X11)
                              & memberP(X9,X11)
                              & memberP(X10,X11) )
                          | ~ ssList(X10) ) ) ) ) ) ) ),
    introduced(choice_axiom,[]) ).

fof(f156,plain,
    ( ? [X2] :
        ( ssList(X2)
        & ? [X3] :
            ( sK4 = X2
            & nil != sK4
            & sK5 = X3
            & ( ? [X4] :
                  ( ssItem(X4)
                  & ? [X5] :
                      ( ? [X6] :
                          ( app(app(X5,cons(X4,nil)),X6) = X2
                          & ssList(X6)
                          & ! [X7] :
                              ( ~ memberP(X6,X7)
                              | ~ ssItem(X7)
                              | ~ lt(X4,X7)
                              | leq(X4,X7)
                              | ~ memberP(X5,X7) ) )
                      & ssList(X5) ) )
              | nil = X2 )
            & ssList(X3)
            & ! [X8] :
                ( ~ ssItem(X8)
                | ! [X9] :
                    ( ~ ssList(X9)
                    | ! [X10] :
                        ( app(app(X9,cons(X8,nil)),X10) != sK4
                        | ? [X11] :
                            ( ssItem(X11)
                            & ~ lt(X8,X11)
                            & leq(X8,X11)
                            & memberP(X9,X11)
                            & memberP(X10,X11) )
                        | ~ ssList(X10) ) ) ) ) )
   => ( ssList(sK6)
      & ? [X3] :
          ( sK6 = sK4
          & nil != sK4
          & sK5 = X3
          & ( ? [X4] :
                ( ssItem(X4)
                & ? [X5] :
                    ( ? [X6] :
                        ( app(app(X5,cons(X4,nil)),X6) = sK6
                        & ssList(X6)
                        & ! [X7] :
                            ( ~ memberP(X6,X7)
                            | ~ ssItem(X7)
                            | ~ lt(X4,X7)
                            | leq(X4,X7)
                            | ~ memberP(X5,X7) ) )
                    & ssList(X5) ) )
            | nil = sK6 )
          & ssList(X3)
          & ! [X8] :
              ( ~ ssItem(X8)
              | ! [X9] :
                  ( ~ ssList(X9)
                  | ! [X10] :
                      ( app(app(X9,cons(X8,nil)),X10) != sK4
                      | ? [X11] :
                          ( ssItem(X11)
                          & ~ lt(X8,X11)
                          & leq(X8,X11)
                          & memberP(X9,X11)
                          & memberP(X10,X11) )
                      | ~ ssList(X10) ) ) ) ) ) ),
    introduced(choice_axiom,[]) ).

fof(f157,plain,
    ( ? [X3] :
        ( sK6 = sK4
        & nil != sK4
        & sK5 = X3
        & ( ? [X4] :
              ( ssItem(X4)
              & ? [X5] :
                  ( ? [X6] :
                      ( app(app(X5,cons(X4,nil)),X6) = sK6
                      & ssList(X6)
                      & ! [X7] :
                          ( ~ memberP(X6,X7)
                          | ~ ssItem(X7)
                          | ~ lt(X4,X7)
                          | leq(X4,X7)
                          | ~ memberP(X5,X7) ) )
                  & ssList(X5) ) )
          | nil = sK6 )
        & ssList(X3)
        & ! [X8] :
            ( ~ ssItem(X8)
            | ! [X9] :
                ( ~ ssList(X9)
                | ! [X10] :
                    ( app(app(X9,cons(X8,nil)),X10) != sK4
                    | ? [X11] :
                        ( ssItem(X11)
                        & ~ lt(X8,X11)
                        & leq(X8,X11)
                        & memberP(X9,X11)
                        & memberP(X10,X11) )
                    | ~ ssList(X10) ) ) ) )
   => ( sK6 = sK4
      & nil != sK4
      & sK7 = sK5
      & ( ? [X4] :
            ( ssItem(X4)
            & ? [X5] :
                ( ? [X6] :
                    ( app(app(X5,cons(X4,nil)),X6) = sK6
                    & ssList(X6)
                    & ! [X7] :
                        ( ~ memberP(X6,X7)
                        | ~ ssItem(X7)
                        | ~ lt(X4,X7)
                        | leq(X4,X7)
                        | ~ memberP(X5,X7) ) )
                & ssList(X5) ) )
        | nil = sK6 )
      & ssList(sK7)
      & ! [X8] :
          ( ~ ssItem(X8)
          | ! [X9] :
              ( ~ ssList(X9)
              | ! [X10] :
                  ( app(app(X9,cons(X8,nil)),X10) != sK4
                  | ? [X11] :
                      ( ssItem(X11)
                      & ~ lt(X8,X11)
                      & leq(X8,X11)
                      & memberP(X9,X11)
                      & memberP(X10,X11) )
                  | ~ ssList(X10) ) ) ) ) ),
    introduced(choice_axiom,[]) ).

fof(f158,plain,
    ( ? [X4] :
        ( ssItem(X4)
        & ? [X5] :
            ( ? [X6] :
                ( app(app(X5,cons(X4,nil)),X6) = sK6
                & ssList(X6)
                & ! [X7] :
                    ( ~ memberP(X6,X7)
                    | ~ ssItem(X7)
                    | ~ lt(X4,X7)
                    | leq(X4,X7)
                    | ~ memberP(X5,X7) ) )
            & ssList(X5) ) )
   => ( ssItem(sK8)
      & ? [X5] :
          ( ? [X6] :
              ( app(app(X5,cons(sK8,nil)),X6) = sK6
              & ssList(X6)
              & ! [X7] :
                  ( ~ memberP(X6,X7)
                  | ~ ssItem(X7)
                  | ~ lt(sK8,X7)
                  | leq(sK8,X7)
                  | ~ memberP(X5,X7) ) )
          & ssList(X5) ) ) ),
    introduced(choice_axiom,[]) ).

fof(f159,plain,
    ( ? [X5] :
        ( ? [X6] :
            ( app(app(X5,cons(sK8,nil)),X6) = sK6
            & ssList(X6)
            & ! [X7] :
                ( ~ memberP(X6,X7)
                | ~ ssItem(X7)
                | ~ lt(sK8,X7)
                | leq(sK8,X7)
                | ~ memberP(X5,X7) ) )
        & ssList(X5) )
   => ( ? [X6] :
          ( sK6 = app(app(sK9,cons(sK8,nil)),X6)
          & ssList(X6)
          & ! [X7] :
              ( ~ memberP(X6,X7)
              | ~ ssItem(X7)
              | ~ lt(sK8,X7)
              | leq(sK8,X7)
              | ~ memberP(sK9,X7) ) )
      & ssList(sK9) ) ),
    introduced(choice_axiom,[]) ).

fof(f160,plain,
    ( ? [X6] :
        ( sK6 = app(app(sK9,cons(sK8,nil)),X6)
        & ssList(X6)
        & ! [X7] :
            ( ~ memberP(X6,X7)
            | ~ ssItem(X7)
            | ~ lt(sK8,X7)
            | leq(sK8,X7)
            | ~ memberP(sK9,X7) ) )
   => ( sK6 = app(app(sK9,cons(sK8,nil)),sK10)
      & ssList(sK10)
      & ! [X7] :
          ( ~ memberP(sK10,X7)
          | ~ ssItem(X7)
          | ~ lt(sK8,X7)
          | leq(sK8,X7)
          | ~ memberP(sK9,X7) ) ) ),
    introduced(choice_axiom,[]) ).

fof(f161,plain,
    ! [X8,X9,X10] :
      ( ? [X11] :
          ( ssItem(X11)
          & ~ lt(X8,X11)
          & leq(X8,X11)
          & memberP(X9,X11)
          & memberP(X10,X11) )
     => ( ssItem(sK11(X8,X9,X10))
        & ~ lt(X8,sK11(X8,X9,X10))
        & leq(X8,sK11(X8,X9,X10))
        & memberP(X9,sK11(X8,X9,X10))
        & memberP(X10,sK11(X8,X9,X10)) ) ),
    introduced(choice_axiom,[]) ).

fof(f153,plain,
    ? [X0] :
      ( ? [X1] :
          ( ssList(X1)
          & ? [X2] :
              ( ssList(X2)
              & ? [X3] :
                  ( X0 = X2
                  & nil != X0
                  & X1 = X3
                  & ( ? [X4] :
                        ( ssItem(X4)
                        & ? [X5] :
                            ( ? [X6] :
                                ( app(app(X5,cons(X4,nil)),X6) = X2
                                & ssList(X6)
                                & ! [X7] :
                                    ( ~ memberP(X6,X7)
                                    | ~ ssItem(X7)
                                    | ~ lt(X4,X7)
                                    | leq(X4,X7)
                                    | ~ memberP(X5,X7) ) )
                            & ssList(X5) ) )
                    | nil = X2 )
                  & ssList(X3)
                  & ! [X8] :
                      ( ~ ssItem(X8)
                      | ! [X9] :
                          ( ~ ssList(X9)
                          | ! [X10] :
                              ( app(app(X9,cons(X8,nil)),X10) != X0
                              | ? [X11] :
                                  ( ssItem(X11)
                                  & ~ lt(X8,X11)
                                  & leq(X8,X11)
                                  & memberP(X9,X11)
                                  & memberP(X10,X11) )
                              | ~ ssList(X10) ) ) ) ) ) )
      & ssList(X0) ),
    inference(rectify,[],[f114]) ).

fof(f114,plain,
    ? [X0] :
      ( ? [X1] :
          ( ssList(X1)
          & ? [X2] :
              ( ssList(X2)
              & ? [X3] :
                  ( X0 = X2
                  & nil != X0
                  & X1 = X3
                  & ( ? [X8] :
                        ( ssItem(X8)
                        & ? [X9] :
                            ( ? [X10] :
                                ( app(app(X9,cons(X8,nil)),X10) = X2
                                & ssList(X10)
                                & ! [X11] :
                                    ( ~ memberP(X10,X11)
                                    | ~ ssItem(X11)
                                    | ~ lt(X8,X11)
                                    | leq(X8,X11)
                                    | ~ memberP(X9,X11) ) )
                            & ssList(X9) ) )
                    | nil = X2 )
                  & ssList(X3)
                  & ! [X4] :
                      ( ~ ssItem(X4)
                      | ! [X5] :
                          ( ~ ssList(X5)
                          | ! [X6] :
                              ( app(app(X5,cons(X4,nil)),X6) != X0
                              | ? [X7] :
                                  ( ssItem(X7)
                                  & ~ lt(X4,X7)
                                  & leq(X4,X7)
                                  & memberP(X5,X7)
                                  & memberP(X6,X7) )
                              | ~ ssList(X6) ) ) ) ) ) )
      & ssList(X0) ),
    inference(flattening,[],[f113]) ).

fof(f113,plain,
    ? [X0] :
      ( ? [X1] :
          ( ? [X2] :
              ( ? [X3] :
                  ( nil != X0
                  & ! [X4] :
                      ( ~ ssItem(X4)
                      | ! [X5] :
                          ( ! [X6] :
                              ( ? [X7] :
                                  ( memberP(X5,X7)
                                  & leq(X4,X7)
                                  & ~ lt(X4,X7)
                                  & memberP(X6,X7)
                                  & ssItem(X7) )
                              | app(app(X5,cons(X4,nil)),X6) != X0
                              | ~ ssList(X6) )
                          | ~ ssList(X5) ) )
                  & ( nil = X2
                    | ? [X8] :
                        ( ? [X9] :
                            ( ? [X10] :
                                ( app(app(X9,cons(X8,nil)),X10) = X2
                                & ! [X11] :
                                    ( ~ memberP(X10,X11)
                                    | ~ ssItem(X11)
                                    | ~ lt(X8,X11)
                                    | leq(X8,X11)
                                    | ~ memberP(X9,X11) )
                                & ssList(X10) )
                            & ssList(X9) )
                        & ssItem(X8) ) )
                  & X1 = X3
                  & X0 = X2
                  & ssList(X3) )
              & ssList(X2) )
          & ssList(X1) )
      & ssList(X0) ),
    inference(ennf_transformation,[],[f97]) ).

fof(f97,negated_conjecture,
    ~ ! [X0] :
        ( ssList(X0)
       => ! [X1] :
            ( ssList(X1)
           => ! [X2] :
                ( ssList(X2)
               => ! [X3] :
                    ( ssList(X3)
                   => ( nil = X0
                      | ? [X4] :
                          ( ssItem(X4)
                          & ? [X5] :
                              ( ? [X6] :
                                  ( ! [X7] :
                                      ( ssItem(X7)
                                     => ( ~ memberP(X5,X7)
                                        | ~ leq(X4,X7)
                                        | lt(X4,X7)
                                        | ~ memberP(X6,X7) ) )
                                  & app(app(X5,cons(X4,nil)),X6) = X0
                                  & ssList(X6) )
                              & ssList(X5) ) )
                      | ( nil != X2
                        & ! [X8] :
                            ( ssItem(X8)
                           => ! [X9] :
                                ( ssList(X9)
                               => ! [X10] :
                                    ( ssList(X10)
                                   => ( app(app(X9,cons(X8,nil)),X10) != X2
                                      | ? [X11] :
                                          ( lt(X8,X11)
                                          & memberP(X9,X11)
                                          & ~ leq(X8,X11)
                                          & memberP(X10,X11)
                                          & ssItem(X11) ) ) ) ) ) )
                      | X1 != X3
                      | X0 != X2 ) ) ) ) ),
    inference(negated_conjecture,[],[f96]) ).

fof(f96,conjecture,
    ! [X0] :
      ( ssList(X0)
     => ! [X1] :
          ( ssList(X1)
         => ! [X2] :
              ( ssList(X2)
             => ! [X3] :
                  ( ssList(X3)
                 => ( nil = X0
                    | ? [X4] :
                        ( ssItem(X4)
                        & ? [X5] :
                            ( ? [X6] :
                                ( ! [X7] :
                                    ( ssItem(X7)
                                   => ( ~ memberP(X5,X7)
                                      | ~ leq(X4,X7)
                                      | lt(X4,X7)
                                      | ~ memberP(X6,X7) ) )
                                & app(app(X5,cons(X4,nil)),X6) = X0
                                & ssList(X6) )
                            & ssList(X5) ) )
                    | ( nil != X2
                      & ! [X8] :
                          ( ssItem(X8)
                         => ! [X9] :
                              ( ssList(X9)
                             => ! [X10] :
                                  ( ssList(X10)
                                 => ( app(app(X9,cons(X8,nil)),X10) != X2
                                    | ? [X11] :
                                        ( lt(X8,X11)
                                        & memberP(X9,X11)
                                        & ~ leq(X8,X11)
                                        & memberP(X10,X11)
                                        & ssItem(X11) ) ) ) ) ) )
                    | X1 != X3
                    | X0 != X2 ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).

fof(f456,plain,
    ( ~ ssList(sK4)
    | memberP(nil,sK11(sK3(sK4),nil,sK2(sK4)))
    | nil = sK4
    | ~ spl14_4
    | ~ spl14_9 ),
    inference(subsumption_resolution,[],[f455,f442]) ).

fof(f442,plain,
    ( ssList(cons(sK3(sK4),nil))
    | ~ spl14_9 ),
    inference(avatar_component_clause,[],[f441]) ).

fof(f441,plain,
    ( spl14_9
  <=> ssList(cons(sK3(sK4),nil)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl14_9])]) ).

fof(f455,plain,
    ( ~ ssList(cons(sK3(sK4),nil))
    | ~ ssList(sK4)
    | memberP(nil,sK11(sK3(sK4),nil,sK2(sK4)))
    | nil = sK4
    | ~ spl14_4 ),
    inference(equality_resolution,[],[f430]) ).

fof(f430,plain,
    ( ! [X0] :
        ( sK4 != X0
        | ~ ssList(X0)
        | memberP(nil,sK11(sK3(X0),nil,sK2(X0)))
        | ~ ssList(cons(sK3(X0),nil))
        | nil = X0 )
    | ~ spl14_4 ),
    inference(subsumption_resolution,[],[f429,f192]) ).

fof(f192,plain,
    ! [X0] :
      ( ssItem(sK3(X0))
      | ~ ssList(X0)
      | nil = X0 ),
    inference(cnf_transformation,[],[f152]) ).

fof(f152,plain,
    ! [X0] :
      ( nil = X0
      | ( ssItem(sK3(X0))
        & cons(sK3(X0),sK2(X0)) = X0
        & ssList(sK2(X0)) )
      | ~ ssList(X0) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK2,sK3])],[f131,f151,f150]) ).

fof(f150,plain,
    ! [X0] :
      ( ? [X1] :
          ( ? [X2] :
              ( ssItem(X2)
              & cons(X2,X1) = X0 )
          & ssList(X1) )
     => ( ? [X2] :
            ( ssItem(X2)
            & cons(X2,sK2(X0)) = X0 )
        & ssList(sK2(X0)) ) ),
    introduced(choice_axiom,[]) ).

fof(f151,plain,
    ! [X0] :
      ( ? [X2] :
          ( ssItem(X2)
          & cons(X2,sK2(X0)) = X0 )
     => ( ssItem(sK3(X0))
        & cons(sK3(X0),sK2(X0)) = X0 ) ),
    introduced(choice_axiom,[]) ).

fof(f131,plain,
    ! [X0] :
      ( nil = X0
      | ? [X1] :
          ( ? [X2] :
              ( ssItem(X2)
              & cons(X2,X1) = X0 )
          & ssList(X1) )
      | ~ ssList(X0) ),
    inference(flattening,[],[f130]) ).

fof(f130,plain,
    ! [X0] :
      ( ? [X1] :
          ( ? [X2] :
              ( ssItem(X2)
              & cons(X2,X1) = X0 )
          & ssList(X1) )
      | nil = X0
      | ~ ssList(X0) ),
    inference(ennf_transformation,[],[f20]) ).

fof(f20,axiom,
    ! [X0] :
      ( ssList(X0)
     => ( ? [X1] :
            ( ? [X2] :
                ( ssItem(X2)
                & cons(X2,X1) = X0 )
            & ssList(X1) )
        | nil = X0 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax20) ).

fof(f429,plain,
    ( ! [X0] :
        ( ~ ssList(X0)
        | ~ ssList(cons(sK3(X0),nil))
        | sK4 != X0
        | ~ ssItem(sK3(X0))
        | memberP(nil,sK11(sK3(X0),nil,sK2(X0)))
        | nil = X0 )
    | ~ spl14_4 ),
    inference(subsumption_resolution,[],[f428,f190]) ).

fof(f190,plain,
    ! [X0] :
      ( ssList(sK2(X0))
      | ~ ssList(X0)
      | nil = X0 ),
    inference(cnf_transformation,[],[f152]) ).

fof(f428,plain,
    ( ! [X0] :
        ( ~ ssList(sK2(X0))
        | sK4 != X0
        | ~ ssItem(sK3(X0))
        | ~ ssList(X0)
        | memberP(nil,sK11(sK3(X0),nil,sK2(X0)))
        | nil = X0
        | ~ ssList(cons(sK3(X0),nil)) )
    | ~ spl14_4 ),
    inference(superposition,[],[f411,f191]) ).

fof(f191,plain,
    ! [X0] :
      ( cons(sK3(X0),sK2(X0)) = X0
      | ~ ssList(X0)
      | nil = X0 ),
    inference(cnf_transformation,[],[f152]) ).

fof(f411,plain,
    ( ! [X4,X5] :
        ( cons(X4,X5) != sK4
        | memberP(nil,sK11(X4,nil,X5))
        | ~ ssItem(X4)
        | ~ ssList(cons(X4,nil))
        | ~ ssList(X5) )
    | ~ spl14_4 ),
    inference(duplicate_literal_removal,[],[f393]) ).

fof(f393,plain,
    ( ! [X4,X5] :
        ( ~ ssList(X5)
        | memberP(nil,sK11(X4,nil,X5))
        | ~ ssItem(X4)
        | cons(X4,X5) != sK4
        | ~ ssItem(X4)
        | ~ ssList(X5)
        | ~ ssList(cons(X4,nil)) )
    | ~ spl14_4 ),
    inference(superposition,[],[f314,f217]) ).

fof(f217,plain,
    ! [X0,X1] :
      ( cons(X1,X0) = app(cons(X1,nil),X0)
      | ~ ssItem(X1)
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f98]) ).

fof(f98,plain,
    ! [X0] :
      ( ! [X1] :
          ( cons(X1,X0) = app(cons(X1,nil),X0)
          | ~ ssItem(X1) )
      | ~ ssList(X0) ),
    inference(ennf_transformation,[],[f81]) ).

fof(f81,axiom,
    ! [X0] :
      ( ssList(X0)
     => ! [X1] :
          ( ssItem(X1)
         => cons(X1,X0) = app(cons(X1,nil),X0) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax81) ).

fof(f314,plain,
    ( ! [X4,X5] :
        ( app(cons(X4,nil),X5) != sK4
        | ~ ssItem(X4)
        | memberP(nil,sK11(X4,nil,X5))
        | ~ ssList(cons(X4,nil))
        | ~ ssList(X5) )
    | ~ spl14_4 ),
    inference(subsumption_resolution,[],[f309,f258]) ).

fof(f258,plain,
    ( ssList(nil)
    | ~ spl14_4 ),
    inference(avatar_component_clause,[],[f257]) ).

fof(f257,plain,
    ( spl14_4
  <=> ssList(nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl14_4])]) ).

fof(f309,plain,
    ! [X4,X5] :
      ( ~ ssItem(X4)
      | app(cons(X4,nil),X5) != sK4
      | ~ ssList(nil)
      | memberP(nil,sK11(X4,nil,X5))
      | ~ ssList(X5)
      | ~ ssList(cons(X4,nil)) ),
    inference(superposition,[],[f199,f166]) ).

fof(f166,plain,
    ! [X0] :
      ( app(nil,X0) = X0
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f102]) ).

fof(f102,plain,
    ! [X0] :
      ( ~ ssList(X0)
      | app(nil,X0) = X0 ),
    inference(ennf_transformation,[],[f28]) ).

fof(f28,axiom,
    ! [X0] :
      ( ssList(X0)
     => app(nil,X0) = X0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax28) ).

fof(f199,plain,
    ! [X10,X8,X9] :
      ( app(app(X9,cons(X8,nil)),X10) != sK4
      | memberP(X9,sK11(X8,X9,X10))
      | ~ ssList(X10)
      | ~ ssList(X9)
      | ~ ssItem(X8) ),
    inference(cnf_transformation,[],[f162]) ).

fof(f454,plain,
    ( spl14_1
    | ~ spl14_4
    | spl14_9 ),
    inference(avatar_contradiction_clause,[],[f453]) ).

fof(f453,plain,
    ( $false
    | spl14_1
    | ~ spl14_4
    | spl14_9 ),
    inference(subsumption_resolution,[],[f452,f197]) ).

fof(f452,plain,
    ( ~ ssList(sK4)
    | spl14_1
    | ~ spl14_4
    | spl14_9 ),
    inference(subsumption_resolution,[],[f451,f245]) ).

fof(f451,plain,
    ( nil = sK4
    | ~ ssList(sK4)
    | ~ spl14_4
    | spl14_9 ),
    inference(resolution,[],[f450,f192]) ).

fof(f450,plain,
    ( ~ ssItem(sK3(sK4))
    | ~ spl14_4
    | spl14_9 ),
    inference(subsumption_resolution,[],[f449,f258]) ).

fof(f449,plain,
    ( ~ ssList(nil)
    | ~ ssItem(sK3(sK4))
    | spl14_9 ),
    inference(resolution,[],[f443,f189]) ).

fof(f189,plain,
    ! [X0,X1] :
      ( ssList(cons(X1,X0))
      | ~ ssItem(X1)
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f115]) ).

fof(f115,plain,
    ! [X0] :
      ( ~ ssList(X0)
      | ! [X1] :
          ( ssList(cons(X1,X0))
          | ~ ssItem(X1) ) ),
    inference(ennf_transformation,[],[f16]) ).

fof(f16,axiom,
    ! [X0] :
      ( ssList(X0)
     => ! [X1] :
          ( ssItem(X1)
         => ssList(cons(X1,X0)) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax16) ).

fof(f443,plain,
    ( ~ ssList(cons(sK3(sK4),nil))
    | spl14_9 ),
    inference(avatar_component_clause,[],[f441]) ).

fof(f448,plain,
    ( ~ spl14_9
    | spl14_10
    | spl14_1
    | ~ spl14_4 ),
    inference(avatar_split_clause,[],[f439,f257,f244,f445,f441]) ).

fof(f439,plain,
    ( ssItem(sK11(sK3(sK4),nil,sK2(sK4)))
    | ~ ssList(cons(sK3(sK4),nil))
    | spl14_1
    | ~ spl14_4 ),
    inference(subsumption_resolution,[],[f438,f197]) ).

fof(f438,plain,
    ( ssItem(sK11(sK3(sK4),nil,sK2(sK4)))
    | ~ ssList(sK4)
    | ~ ssList(cons(sK3(sK4),nil))
    | spl14_1
    | ~ spl14_4 ),
    inference(subsumption_resolution,[],[f437,f245]) ).

fof(f437,plain,
    ( nil = sK4
    | ~ ssList(sK4)
    | ssItem(sK11(sK3(sK4),nil,sK2(sK4)))
    | ~ ssList(cons(sK3(sK4),nil))
    | ~ spl14_4 ),
    inference(equality_resolution,[],[f424]) ).

fof(f424,plain,
    ( ! [X0] :
        ( sK4 != X0
        | ~ ssList(cons(sK3(X0),nil))
        | ~ ssList(X0)
        | ssItem(sK11(sK3(X0),nil,sK2(X0)))
        | nil = X0 )
    | ~ spl14_4 ),
    inference(subsumption_resolution,[],[f423,f190]) ).

fof(f423,plain,
    ( ! [X0] :
        ( ~ ssList(cons(sK3(X0),nil))
        | ~ ssList(sK2(X0))
        | nil = X0
        | ~ ssList(X0)
        | ssItem(sK11(sK3(X0),nil,sK2(X0)))
        | sK4 != X0 )
    | ~ spl14_4 ),
    inference(subsumption_resolution,[],[f422,f192]) ).

fof(f422,plain,
    ( ! [X0] :
        ( ~ ssList(cons(sK3(X0),nil))
        | ssItem(sK11(sK3(X0),nil,sK2(X0)))
        | ~ ssItem(sK3(X0))
        | ~ ssList(sK2(X0))
        | sK4 != X0
        | nil = X0
        | ~ ssList(X0) )
    | ~ spl14_4 ),
    inference(superposition,[],[f412,f191]) ).

fof(f412,plain,
    ( ! [X8,X9] :
        ( cons(X8,X9) != sK4
        | ~ ssList(X9)
        | ~ ssItem(X8)
        | ssItem(sK11(X8,nil,X9))
        | ~ ssList(cons(X8,nil)) )
    | ~ spl14_4 ),
    inference(duplicate_literal_removal,[],[f395]) ).

fof(f395,plain,
    ( ! [X8,X9] :
        ( ~ ssList(X9)
        | ssItem(sK11(X8,nil,X9))
        | ~ ssItem(X8)
        | ~ ssList(X9)
        | ~ ssList(cons(X8,nil))
        | ~ ssItem(X8)
        | cons(X8,X9) != sK4 )
    | ~ spl14_4 ),
    inference(superposition,[],[f313,f217]) ).

fof(f313,plain,
    ( ! [X8,X9] :
        ( app(cons(X8,nil),X9) != sK4
        | ~ ssList(cons(X8,nil))
        | ~ ssList(X9)
        | ~ ssItem(X8)
        | ssItem(sK11(X8,nil,X9)) )
    | ~ spl14_4 ),
    inference(subsumption_resolution,[],[f311,f258]) ).

fof(f311,plain,
    ! [X8,X9] :
      ( ~ ssItem(X8)
      | ssItem(sK11(X8,nil,X9))
      | ~ ssList(nil)
      | app(cons(X8,nil),X9) != sK4
      | ~ ssList(cons(X8,nil))
      | ~ ssList(X9) ),
    inference(superposition,[],[f202,f166]) ).

fof(f202,plain,
    ! [X10,X8,X9] :
      ( app(app(X9,cons(X8,nil)),X10) != sK4
      | ~ ssList(X10)
      | ~ ssList(X9)
      | ~ ssItem(X8)
      | ssItem(sK11(X8,X9,X10)) ),
    inference(cnf_transformation,[],[f162]) ).

fof(f267,plain,
    spl14_4,
    inference(avatar_split_clause,[],[f222,f257]) ).

fof(f222,plain,
    ssList(nil),
    inference(cnf_transformation,[],[f17]) ).

fof(f17,axiom,
    ssList(nil),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax17) ).

fof(f266,plain,
    ~ spl14_1,
    inference(avatar_split_clause,[],[f210,f244]) ).

fof(f210,plain,
    nil != sK4,
    inference(cnf_transformation,[],[f162]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : SWC232+1 : TPTP v8.1.0. Released v2.4.0.
% 0.07/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.35  % Computer : n016.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit   : 300
% 0.13/0.35  % WCLimit    : 300
% 0.13/0.35  % DateTime   : Tue Aug 30 19:03:31 EDT 2022
% 0.13/0.35  % CPUTime    : 
% 0.20/0.51  % (29080)lrs+2_1:1_lcm=reverse:lma=on:sos=all:spb=goal_then_units:ss=included:urr=on:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 0.20/0.52  % (29088)lrs+10_1:1_drc=off:sp=reverse_frequency:spb=goal:to=lpo:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.52  % (29094)ott+21_1:1_erd=off:s2a=on:sac=on:sd=1:sgt=64:sos=on:ss=included:st=3.0:to=lpo:urr=on:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.20/0.52  % (29096)dis+10_1:1_av=off:sos=on:sp=reverse_arity:ss=included:st=2.0:to=lpo:urr=ec_only:i=45:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/45Mi)
% 0.20/0.52  % (29074)lrs+10_1:1_gsp=on:sd=1:sgt=32:sos=on:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 0.20/0.53  % (29089)lrs+1011_1:1_fd=preordered:fsd=on:sos=on:thsq=on:thsqc=64:thsqd=32:uwa=ground:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.53  % (29074)Instruction limit reached!
% 0.20/0.53  % (29074)------------------------------
% 0.20/0.53  % (29074)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53  % (29097)dis+21_1:1_ep=RS:nwc=10.0:s2a=on:s2at=1.5:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.53  % (29077)lrs+10_1:1024_nm=0:nwc=5.0:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 0.20/0.53  % (29076)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.53  % (29081)dis+10_1:1_newcnf=on:sgt=8:sos=on:ss=axioms:to=lpo:urr=on:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/49Mi)
% 0.20/0.53  % (29084)lrs+10_1:2_br=off:nm=4:ss=included:urr=on:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.53  % (29074)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53  % (29074)Termination reason: Unknown
% 0.20/0.53  % (29074)Termination phase: Saturation
% 0.20/0.53  
% 0.20/0.53  % (29074)Memory used [KB]: 6396
% 0.20/0.53  % (29074)Time elapsed: 0.007 s
% 0.20/0.53  % (29074)Instructions burned: 13 (million)
% 0.20/0.53  % (29074)------------------------------
% 0.20/0.53  % (29074)------------------------------
% 0.20/0.54  % (29084)Instruction limit reached!
% 0.20/0.54  % (29084)------------------------------
% 0.20/0.54  % (29084)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54  % (29073)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 0.20/0.54  % (29084)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.54  % (29084)Termination reason: Unknown
% 0.20/0.54  % (29084)Termination phase: Saturation
% 0.20/0.54  
% 0.20/0.54  % (29084)Memory used [KB]: 6140
% 0.20/0.54  % (29084)Time elapsed: 0.134 s
% 0.20/0.54  % (29084)Instructions burned: 7 (million)
% 0.20/0.54  % (29084)------------------------------
% 0.20/0.54  % (29084)------------------------------
% 0.20/0.54  % (29078)dis+21_1:1_av=off:sos=on:sp=frequency:ss=included:to=lpo:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/15Mi)
% 0.20/0.54  % (29085)lrs+10_1:4_av=off:bs=unit_only:bsr=unit_only:ep=RS:s2a=on:sos=on:sp=frequency:to=lpo:i=16:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 0.20/0.54  % (29083)lrs+10_1:1_ep=R:lcm=predicate:lma=on:sos=all:spb=goal:ss=included:i=12:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/12Mi)
% 0.20/0.54  % (29086)lrs+10_1:32_br=off:nm=16:sd=2:ss=axioms:st=2.0:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.54  % (29088)Instruction limit reached!
% 0.20/0.54  % (29088)------------------------------
% 0.20/0.54  % (29088)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54  % (29091)ott+1010_1:1_sd=2:sos=on:sp=occurrence:ss=axioms:urr=on:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.20/0.55  % (29085)Instruction limit reached!
% 0.20/0.55  % (29085)------------------------------
% 0.20/0.55  % (29085)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.55  % (29085)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.55  % (29085)Termination reason: Unknown
% 0.20/0.55  % (29085)Termination phase: Saturation
% 0.20/0.55  
% 0.20/0.55  % (29085)Memory used [KB]: 2046
% 0.20/0.55  % (29085)Time elapsed: 0.009 s
% 0.20/0.55  % (29085)Instructions burned: 16 (million)
% 0.20/0.55  % (29085)------------------------------
% 0.20/0.55  % (29085)------------------------------
% 0.20/0.55  % (29099)lrs+1011_1:1_fd=preordered:fsd=on:sos=on:thsq=on:thsqc=64:thsqd=32:uwa=ground:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.20/0.55  % (29088)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.55  % (29088)Termination reason: Unknown
% 0.20/0.55  % (29088)Termination phase: Property scanning
% 0.20/0.55  
% 0.20/0.55  % (29088)Memory used [KB]: 1791
% 0.20/0.55  % (29088)Time elapsed: 0.008 s
% 0.20/0.55  % (29088)Instructions burned: 7 (million)
% 0.20/0.55  % (29088)------------------------------
% 0.20/0.55  % (29088)------------------------------
% 0.20/0.55  % (29101)dis+2_3:1_aac=none:abs=on:ep=R:lcm=reverse:nwc=10.0:sos=on:sp=const_frequency:spb=units:urr=ec_only:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/8Mi)
% 0.20/0.55  % (29098)lrs+11_1:1_plsq=on:plsqc=1:plsqr=32,1:ss=included:i=95:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/95Mi)
% 0.20/0.55  % (29093)dis+1010_1:1_bs=on:ep=RS:erd=off:newcnf=on:nwc=10.0:s2a=on:sgt=32:ss=axioms:i=30:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/30Mi)
% 0.20/0.55  % (29082)lrs+10_1:1_br=off:sos=on:ss=axioms:st=2.0:urr=on:i=33:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/33Mi)
% 0.20/0.56  % (29102)lrs-11_1:1_nm=0:sac=on:sd=4:ss=axioms:st=3.0:i=24:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/24Mi)
% 0.20/0.56  % (29090)fmb+10_1:1_nm=2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.20/0.56  % (29090)Instruction limit reached!
% 0.20/0.56  % (29090)------------------------------
% 0.20/0.56  % (29090)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.56  % (29090)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.56  % (29090)Termination reason: Unknown
% 0.20/0.56  % (29090)Termination phase: Preprocessing 3
% 0.20/0.56  
% 0.20/0.56  % (29090)Memory used [KB]: 1663
% 0.20/0.56  % (29090)Time elapsed: 0.003 s
% 0.20/0.56  % (29090)Instructions burned: 5 (million)
% 0.20/0.56  % (29090)------------------------------
% 0.20/0.56  % (29090)------------------------------
% 0.20/0.56  % (29077)Instruction limit reached!
% 0.20/0.56  % (29077)------------------------------
% 0.20/0.56  % (29077)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.56  % (29075)dis+1002_1:1_aac=none:bd=off:sac=on:sos=on:spb=units:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.20/0.56  % (29077)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.56  % (29077)Termination reason: Unknown
% 0.20/0.56  % (29077)Termination phase: Saturation
% 0.20/0.56  
% 0.20/0.56  % (29077)Memory used [KB]: 6268
% 0.20/0.56  % (29077)Time elapsed: 0.146 s
% 0.20/0.56  % (29077)Instructions burned: 13 (million)
% 0.20/0.56  % (29077)------------------------------
% 0.20/0.56  % (29077)------------------------------
% 0.20/0.56  % (29075)Instruction limit reached!
% 0.20/0.56  % (29075)------------------------------
% 0.20/0.56  % (29075)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.56  % (29075)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.56  % (29075)Termination reason: Unknown
% 0.20/0.56  % (29075)Termination phase: Naming
% 0.20/0.56  
% 0.20/0.56  % (29075)Memory used [KB]: 1535
% 0.20/0.56  % (29075)Time elapsed: 0.003 s
% 0.20/0.56  % (29075)Instructions burned: 3 (million)
% 0.20/0.56  % (29075)------------------------------
% 0.20/0.56  % (29075)------------------------------
% 0.20/0.56  % (29083)Instruction limit reached!
% 0.20/0.56  % (29083)------------------------------
% 0.20/0.56  % (29083)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.56  % (29083)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.56  % (29083)Termination reason: Unknown
% 0.20/0.56  % (29083)Termination phase: Saturation
% 0.20/0.56  
% 0.20/0.56  % (29083)Memory used [KB]: 6268
% 0.20/0.56  % (29083)Time elapsed: 0.136 s
% 0.20/0.56  % (29083)Instructions burned: 12 (million)
% 0.20/0.56  % (29083)------------------------------
% 0.20/0.56  % (29083)------------------------------
% 0.20/0.56  % (29092)dis-10_3:2_amm=sco:ep=RS:fsr=off:nm=10:sd=2:sos=on:ss=axioms:st=3.0:i=11:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/11Mi)
% 0.20/0.56  % (29095)dis+1010_2:3_fs=off:fsr=off:nm=0:nwc=5.0:s2a=on:s2agt=32:i=82:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/82Mi)
% 0.20/0.57  % (29101)Instruction limit reached!
% 0.20/0.57  % (29101)------------------------------
% 0.20/0.57  % (29101)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.57  % (29078)Instruction limit reached!
% 0.20/0.57  % (29078)------------------------------
% 0.20/0.57  % (29078)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.57  % (29078)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.57  % (29078)Termination reason: Unknown
% 0.20/0.57  % (29078)Termination phase: Saturation
% 0.20/0.57  
% 0.20/0.57  % (29078)Memory used [KB]: 1791
% 0.20/0.57  % (29078)Time elapsed: 0.158 s
% 0.20/0.57  % (29078)Instructions burned: 16 (million)
% 0.20/0.57  % (29078)------------------------------
% 0.20/0.57  % (29078)------------------------------
% 0.20/0.57  % (29101)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.57  % (29101)Termination reason: Unknown
% 0.20/0.57  % (29101)Termination phase: Property scanning
% 0.20/0.57  
% 0.20/0.57  % (29101)Memory used [KB]: 1791
% 0.20/0.57  % (29101)Time elapsed: 0.005 s
% 0.20/0.57  % (29101)Instructions burned: 9 (million)
% 0.20/0.57  % (29101)------------------------------
% 0.20/0.57  % (29101)------------------------------
% 0.20/0.57  % (29087)lrs+10_1:1_ins=3:sp=reverse_frequency:spb=goal:to=lpo:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.20/0.57  % (29087)Instruction limit reached!
% 0.20/0.57  % (29087)------------------------------
% 0.20/0.57  % (29087)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.57  % (29079)dis+1010_1:50_awrs=decay:awrsf=128:nwc=10.0:s2pl=no:sp=frequency:ss=axioms:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 0.20/0.57  % (29087)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.57  % (29087)Termination reason: Unknown
% 0.20/0.57  % (29087)Termination phase: Preprocessing 3
% 0.20/0.57  
% 0.20/0.57  % (29087)Memory used [KB]: 1535
% 0.20/0.57  % (29087)Time elapsed: 0.004 s
% 0.20/0.57  % (29087)Instructions burned: 3 (million)
% 0.20/0.57  % (29087)------------------------------
% 0.20/0.57  % (29087)------------------------------
% 0.20/0.57  % (29091)Instruction limit reached!
% 0.20/0.57  % (29091)------------------------------
% 0.20/0.57  % (29091)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.57  % (29091)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.57  % (29091)Termination reason: Unknown
% 0.20/0.57  % (29091)Termination phase: Preprocessing 3
% 0.20/0.57  
% 0.20/0.57  % (29091)Memory used [KB]: 1535
% 0.20/0.57  % (29091)Time elapsed: 0.003 s
% 0.20/0.57  % (29091)Instructions burned: 3 (million)
% 0.20/0.57  % (29091)------------------------------
% 0.20/0.57  % (29091)------------------------------
% 0.20/0.57  % (29100)dis+21_1:1_aac=none:abs=on:er=known:fde=none:fsr=off:nwc=5.0:s2a=on:s2at=4.0:sp=const_frequency:to=lpo:urr=ec_only:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 0.20/0.57  % (29092)Instruction limit reached!
% 0.20/0.57  % (29092)------------------------------
% 0.20/0.57  % (29092)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.57  % (29092)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.57  % (29092)Termination reason: Unknown
% 0.20/0.57  % (29092)Termination phase: Saturation
% 0.20/0.57  
% 0.20/0.57  % (29092)Memory used [KB]: 6396
% 0.20/0.57  % (29092)Time elapsed: 0.169 s
% 0.20/0.57  % (29092)Instructions burned: 12 (million)
% 0.20/0.57  % (29092)------------------------------
% 0.20/0.57  % (29092)------------------------------
% 1.83/0.59  % (29080)Instruction limit reached!
% 1.83/0.59  % (29080)------------------------------
% 1.83/0.59  % (29080)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.83/0.59  % (29080)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.83/0.59  % (29080)Termination reason: Unknown
% 1.83/0.59  % (29080)Termination phase: Saturation
% 1.83/0.59  
% 1.83/0.59  % (29080)Memory used [KB]: 6652
% 1.83/0.59  % (29080)Time elapsed: 0.158 s
% 1.83/0.59  % (29080)Instructions burned: 39 (million)
% 1.83/0.59  % (29080)------------------------------
% 1.83/0.59  % (29080)------------------------------
% 1.83/0.60  % (29093)Instruction limit reached!
% 1.83/0.60  % (29093)------------------------------
% 1.83/0.60  % (29093)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.83/0.60  % (29093)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.83/0.60  % (29093)Termination reason: Unknown
% 1.83/0.60  % (29093)Termination phase: Saturation
% 1.83/0.60  
% 1.83/0.60  % (29093)Memory used [KB]: 6524
% 1.83/0.60  % (29093)Time elapsed: 0.177 s
% 1.83/0.60  % (29093)Instructions burned: 31 (million)
% 1.83/0.60  % (29093)------------------------------
% 1.83/0.60  % (29093)------------------------------
% 1.83/0.60  % (29096)Instruction limit reached!
% 1.83/0.60  % (29096)------------------------------
% 1.83/0.60  % (29096)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.83/0.60  % (29079)First to succeed.
% 1.83/0.61  % (29082)Instruction limit reached!
% 1.83/0.61  % (29082)------------------------------
% 1.83/0.61  % (29082)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.83/0.61  % (29082)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.83/0.61  % (29082)Termination reason: Unknown
% 1.83/0.61  % (29082)Termination phase: Saturation
% 1.83/0.61  
% 1.83/0.61  % (29082)Memory used [KB]: 6652
% 1.83/0.61  % (29082)Time elapsed: 0.140 s
% 1.83/0.61  % (29082)Instructions burned: 34 (million)
% 1.83/0.61  % (29082)------------------------------
% 1.83/0.61  % (29082)------------------------------
% 1.99/0.61  % (29079)Refutation found. Thanks to Tanya!
% 1.99/0.61  % SZS status Theorem for theBenchmark
% 1.99/0.61  % SZS output start Proof for theBenchmark
% See solution above
% 1.99/0.61  % (29079)------------------------------
% 1.99/0.61  % (29079)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.99/0.61  % (29079)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.99/0.61  % (29079)Termination reason: Refutation
% 1.99/0.61  
% 1.99/0.61  % (29079)Memory used [KB]: 6268
% 1.99/0.61  % (29079)Time elapsed: 0.184 s
% 1.99/0.61  % (29079)Instructions burned: 15 (million)
% 1.99/0.61  % (29079)------------------------------
% 1.99/0.61  % (29079)------------------------------
% 1.99/0.61  % (29072)Success in time 0.244 s
%------------------------------------------------------------------------------