TSTP Solution File: SWC246+1 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : SWC246+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 : n007.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 18:39:51 EDT 2022

% Result   : Theorem 1.66s 0.57s
% Output   : Refutation 1.66s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   21
%            Number of leaves      :   20
% Syntax   : Number of formulae    :   86 (   9 unt;   0 def)
%            Number of atoms       :  745 ( 220 equ)
%            Maximal formula atoms :   64 (   8 avg)
%            Number of connectives : 1061 ( 402   ~; 380   |; 247   &)
%                                         (   4 <=>;  28  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   27 (   8 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :   12 (  10 usr;   5 prp; 0-2 aty)
%            Number of functors    :   12 (  12 usr;   7 con; 0-3 aty)
%            Number of variables   :  288 ( 199   !;  89   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f462,plain,
    $false,
    inference(avatar_sat_refutation,[],[f282,f283,f448,f454,f461]) ).

fof(f461,plain,
    ( ~ spl17_2
    | spl17_3
    | ~ spl17_7
    | ~ spl17_8 ),
    inference(avatar_contradiction_clause,[],[f460]) ).

fof(f460,plain,
    ( $false
    | ~ spl17_2
    | spl17_3
    | ~ spl17_7
    | ~ spl17_8 ),
    inference(subsumption_resolution,[],[f459,f443]) ).

fof(f443,plain,
    ( ssItem(sK6(sK10(sK2),nil,sK9(sK2)))
    | ~ spl17_7 ),
    inference(avatar_component_clause,[],[f441]) ).

fof(f441,plain,
    ( spl17_7
  <=> ssItem(sK6(sK10(sK2),nil,sK9(sK2))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl17_7])]) ).

fof(f459,plain,
    ( ~ ssItem(sK6(sK10(sK2),nil,sK9(sK2)))
    | ~ spl17_2
    | spl17_3
    | ~ spl17_8 ),
    inference(resolution,[],[f458,f203]) ).

fof(f203,plain,
    ! [X0] :
      ( ~ memberP(nil,X0)
      | ~ ssItem(X0) ),
    inference(cnf_transformation,[],[f122]) ).

fof(f122,plain,
    ! [X0] :
      ( ~ memberP(nil,X0)
      | ~ ssItem(X0) ),
    inference(ennf_transformation,[],[f38]) ).

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

fof(f458,plain,
    ( memberP(nil,sK6(sK10(sK2),nil,sK9(sK2)))
    | ~ spl17_2
    | spl17_3
    | ~ spl17_8 ),
    inference(subsumption_resolution,[],[f457,f446]) ).

fof(f446,plain,
    ( ssList(cons(sK10(sK2),nil))
    | ~ spl17_8 ),
    inference(avatar_component_clause,[],[f445]) ).

fof(f445,plain,
    ( spl17_8
  <=> ssList(cons(sK10(sK2),nil)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl17_8])]) ).

fof(f457,plain,
    ( memberP(nil,sK6(sK10(sK2),nil,sK9(sK2)))
    | ~ ssList(cons(sK10(sK2),nil))
    | ~ spl17_2
    | spl17_3 ),
    inference(subsumption_resolution,[],[f456,f276]) ).

fof(f276,plain,
    ( nil != sK2
    | spl17_3 ),
    inference(avatar_component_clause,[],[f274]) ).

fof(f274,plain,
    ( spl17_3
  <=> nil = sK2 ),
    introduced(avatar_definition,[new_symbols(naming,[spl17_3])]) ).

fof(f456,plain,
    ( nil = sK2
    | ~ ssList(cons(sK10(sK2),nil))
    | memberP(nil,sK6(sK10(sK2),nil,sK9(sK2)))
    | ~ spl17_2 ),
    inference(subsumption_resolution,[],[f455,f192]) ).

fof(f192,plain,
    ssList(sK2),
    inference(cnf_transformation,[],[f147]) ).

fof(f147,plain,
    ( ssList(sK1)
    & ssList(sK2)
    & nil != sK0
    & ssList(sK3)
    & ! [X6] :
        ( ~ ssItem(X6)
        | ! [X7] :
            ( ~ ssList(X7)
            | app(cons(X6,nil),X7) != sK5
            | ! [X8] :
                ( ~ ssList(X8)
                | app(X8,cons(X6,nil)) != sK2 ) ) )
    & app(app(sK4,sK2),sK5) = sK3
    & ! [X9] :
        ( ! [X10] :
            ( ! [X11] :
                ( ~ ssList(X11)
                | app(cons(X9,nil),X11) != sK2 )
            | ~ ssList(X10)
            | app(X10,cons(X9,nil)) != sK4 )
        | ~ ssItem(X9) )
    & ssList(sK5)
    & equalelemsP(sK2)
    & ssList(sK4)
    & ! [X12] :
        ( ! [X13] :
            ( ~ ssList(X13)
            | ! [X14] :
                ( ( memberP(X14,sK6(X12,X13,X14))
                  & ~ leq(X12,sK6(X12,X13,X14))
                  & memberP(X13,sK6(X12,X13,X14))
                  & ssItem(sK6(X12,X13,X14))
                  & lt(X12,sK6(X12,X13,X14)) )
                | ~ ssList(X14)
                | sK0 != app(app(X13,cons(X12,nil)),X14) ) )
        | ~ ssItem(X12) )
    & ( nil = sK3
      | nil != sK2 )
    & sK1 = sK3
    & sK0 = sK2
    & ssList(sK0) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4,sK5,sK6])],[f126,f146,f145,f144,f143,f142,f141,f140]) ).

fof(f140,plain,
    ( ? [X0] :
        ( ? [X1] :
            ( ssList(X1)
            & ? [X2] :
                ( ssList(X2)
                & ? [X3] :
                    ( nil != X0
                    & ssList(X3)
                    & ? [X4] :
                        ( ? [X5] :
                            ( ! [X6] :
                                ( ~ ssItem(X6)
                                | ! [X7] :
                                    ( ~ ssList(X7)
                                    | app(cons(X6,nil),X7) != X5
                                    | ! [X8] :
                                        ( ~ ssList(X8)
                                        | app(X8,cons(X6,nil)) != X2 ) ) )
                            & app(app(X4,X2),X5) = X3
                            & ! [X9] :
                                ( ! [X10] :
                                    ( ! [X11] :
                                        ( ~ ssList(X11)
                                        | app(cons(X9,nil),X11) != X2 )
                                    | ~ ssList(X10)
                                    | app(X10,cons(X9,nil)) != X4 )
                                | ~ ssItem(X9) )
                            & ssList(X5)
                            & equalelemsP(X2) )
                        & ssList(X4) )
                    & ! [X12] :
                        ( ! [X13] :
                            ( ~ ssList(X13)
                            | ! [X14] :
                                ( ? [X15] :
                                    ( memberP(X14,X15)
                                    & ~ leq(X12,X15)
                                    & memberP(X13,X15)
                                    & ssItem(X15)
                                    & lt(X12,X15) )
                                | ~ ssList(X14)
                                | app(app(X13,cons(X12,nil)),X14) != X0 ) )
                        | ~ ssItem(X12) )
                    & ( nil = X3
                      | nil != X2 )
                    & X1 = X3
                    & X0 = X2 ) ) )
        & ssList(X0) )
   => ( ? [X1] :
          ( ssList(X1)
          & ? [X2] :
              ( ssList(X2)
              & ? [X3] :
                  ( nil != sK0
                  & ssList(X3)
                  & ? [X4] :
                      ( ? [X5] :
                          ( ! [X6] :
                              ( ~ ssItem(X6)
                              | ! [X7] :
                                  ( ~ ssList(X7)
                                  | app(cons(X6,nil),X7) != X5
                                  | ! [X8] :
                                      ( ~ ssList(X8)
                                      | app(X8,cons(X6,nil)) != X2 ) ) )
                          & app(app(X4,X2),X5) = X3
                          & ! [X9] :
                              ( ! [X10] :
                                  ( ! [X11] :
                                      ( ~ ssList(X11)
                                      | app(cons(X9,nil),X11) != X2 )
                                  | ~ ssList(X10)
                                  | app(X10,cons(X9,nil)) != X4 )
                              | ~ ssItem(X9) )
                          & ssList(X5)
                          & equalelemsP(X2) )
                      & ssList(X4) )
                  & ! [X12] :
                      ( ! [X13] :
                          ( ~ ssList(X13)
                          | ! [X14] :
                              ( ? [X15] :
                                  ( memberP(X14,X15)
                                  & ~ leq(X12,X15)
                                  & memberP(X13,X15)
                                  & ssItem(X15)
                                  & lt(X12,X15) )
                              | ~ ssList(X14)
                              | sK0 != app(app(X13,cons(X12,nil)),X14) ) )
                      | ~ ssItem(X12) )
                  & ( nil = X3
                    | nil != X2 )
                  & X1 = X3
                  & sK0 = X2 ) ) )
      & ssList(sK0) ) ),
    introduced(choice_axiom,[]) ).

fof(f141,plain,
    ( ? [X1] :
        ( ssList(X1)
        & ? [X2] :
            ( ssList(X2)
            & ? [X3] :
                ( nil != sK0
                & ssList(X3)
                & ? [X4] :
                    ( ? [X5] :
                        ( ! [X6] :
                            ( ~ ssItem(X6)
                            | ! [X7] :
                                ( ~ ssList(X7)
                                | app(cons(X6,nil),X7) != X5
                                | ! [X8] :
                                    ( ~ ssList(X8)
                                    | app(X8,cons(X6,nil)) != X2 ) ) )
                        & app(app(X4,X2),X5) = X3
                        & ! [X9] :
                            ( ! [X10] :
                                ( ! [X11] :
                                    ( ~ ssList(X11)
                                    | app(cons(X9,nil),X11) != X2 )
                                | ~ ssList(X10)
                                | app(X10,cons(X9,nil)) != X4 )
                            | ~ ssItem(X9) )
                        & ssList(X5)
                        & equalelemsP(X2) )
                    & ssList(X4) )
                & ! [X12] :
                    ( ! [X13] :
                        ( ~ ssList(X13)
                        | ! [X14] :
                            ( ? [X15] :
                                ( memberP(X14,X15)
                                & ~ leq(X12,X15)
                                & memberP(X13,X15)
                                & ssItem(X15)
                                & lt(X12,X15) )
                            | ~ ssList(X14)
                            | sK0 != app(app(X13,cons(X12,nil)),X14) ) )
                    | ~ ssItem(X12) )
                & ( nil = X3
                  | nil != X2 )
                & X1 = X3
                & sK0 = X2 ) ) )
   => ( ssList(sK1)
      & ? [X2] :
          ( ssList(X2)
          & ? [X3] :
              ( nil != sK0
              & ssList(X3)
              & ? [X4] :
                  ( ? [X5] :
                      ( ! [X6] :
                          ( ~ ssItem(X6)
                          | ! [X7] :
                              ( ~ ssList(X7)
                              | app(cons(X6,nil),X7) != X5
                              | ! [X8] :
                                  ( ~ ssList(X8)
                                  | app(X8,cons(X6,nil)) != X2 ) ) )
                      & app(app(X4,X2),X5) = X3
                      & ! [X9] :
                          ( ! [X10] :
                              ( ! [X11] :
                                  ( ~ ssList(X11)
                                  | app(cons(X9,nil),X11) != X2 )
                              | ~ ssList(X10)
                              | app(X10,cons(X9,nil)) != X4 )
                          | ~ ssItem(X9) )
                      & ssList(X5)
                      & equalelemsP(X2) )
                  & ssList(X4) )
              & ! [X12] :
                  ( ! [X13] :
                      ( ~ ssList(X13)
                      | ! [X14] :
                          ( ? [X15] :
                              ( memberP(X14,X15)
                              & ~ leq(X12,X15)
                              & memberP(X13,X15)
                              & ssItem(X15)
                              & lt(X12,X15) )
                          | ~ ssList(X14)
                          | sK0 != app(app(X13,cons(X12,nil)),X14) ) )
                  | ~ ssItem(X12) )
              & ( nil = X3
                | nil != X2 )
              & sK1 = X3
              & sK0 = X2 ) ) ) ),
    introduced(choice_axiom,[]) ).

fof(f142,plain,
    ( ? [X2] :
        ( ssList(X2)
        & ? [X3] :
            ( nil != sK0
            & ssList(X3)
            & ? [X4] :
                ( ? [X5] :
                    ( ! [X6] :
                        ( ~ ssItem(X6)
                        | ! [X7] :
                            ( ~ ssList(X7)
                            | app(cons(X6,nil),X7) != X5
                            | ! [X8] :
                                ( ~ ssList(X8)
                                | app(X8,cons(X6,nil)) != X2 ) ) )
                    & app(app(X4,X2),X5) = X3
                    & ! [X9] :
                        ( ! [X10] :
                            ( ! [X11] :
                                ( ~ ssList(X11)
                                | app(cons(X9,nil),X11) != X2 )
                            | ~ ssList(X10)
                            | app(X10,cons(X9,nil)) != X4 )
                        | ~ ssItem(X9) )
                    & ssList(X5)
                    & equalelemsP(X2) )
                & ssList(X4) )
            & ! [X12] :
                ( ! [X13] :
                    ( ~ ssList(X13)
                    | ! [X14] :
                        ( ? [X15] :
                            ( memberP(X14,X15)
                            & ~ leq(X12,X15)
                            & memberP(X13,X15)
                            & ssItem(X15)
                            & lt(X12,X15) )
                        | ~ ssList(X14)
                        | sK0 != app(app(X13,cons(X12,nil)),X14) ) )
                | ~ ssItem(X12) )
            & ( nil = X3
              | nil != X2 )
            & sK1 = X3
            & sK0 = X2 ) )
   => ( ssList(sK2)
      & ? [X3] :
          ( nil != sK0
          & ssList(X3)
          & ? [X4] :
              ( ? [X5] :
                  ( ! [X6] :
                      ( ~ ssItem(X6)
                      | ! [X7] :
                          ( ~ ssList(X7)
                          | app(cons(X6,nil),X7) != X5
                          | ! [X8] :
                              ( ~ ssList(X8)
                              | app(X8,cons(X6,nil)) != sK2 ) ) )
                  & app(app(X4,sK2),X5) = X3
                  & ! [X9] :
                      ( ! [X10] :
                          ( ! [X11] :
                              ( ~ ssList(X11)
                              | app(cons(X9,nil),X11) != sK2 )
                          | ~ ssList(X10)
                          | app(X10,cons(X9,nil)) != X4 )
                      | ~ ssItem(X9) )
                  & ssList(X5)
                  & equalelemsP(sK2) )
              & ssList(X4) )
          & ! [X12] :
              ( ! [X13] :
                  ( ~ ssList(X13)
                  | ! [X14] :
                      ( ? [X15] :
                          ( memberP(X14,X15)
                          & ~ leq(X12,X15)
                          & memberP(X13,X15)
                          & ssItem(X15)
                          & lt(X12,X15) )
                      | ~ ssList(X14)
                      | sK0 != app(app(X13,cons(X12,nil)),X14) ) )
              | ~ ssItem(X12) )
          & ( nil = X3
            | nil != sK2 )
          & sK1 = X3
          & sK0 = sK2 ) ) ),
    introduced(choice_axiom,[]) ).

fof(f143,plain,
    ( ? [X3] :
        ( nil != sK0
        & ssList(X3)
        & ? [X4] :
            ( ? [X5] :
                ( ! [X6] :
                    ( ~ ssItem(X6)
                    | ! [X7] :
                        ( ~ ssList(X7)
                        | app(cons(X6,nil),X7) != X5
                        | ! [X8] :
                            ( ~ ssList(X8)
                            | app(X8,cons(X6,nil)) != sK2 ) ) )
                & app(app(X4,sK2),X5) = X3
                & ! [X9] :
                    ( ! [X10] :
                        ( ! [X11] :
                            ( ~ ssList(X11)
                            | app(cons(X9,nil),X11) != sK2 )
                        | ~ ssList(X10)
                        | app(X10,cons(X9,nil)) != X4 )
                    | ~ ssItem(X9) )
                & ssList(X5)
                & equalelemsP(sK2) )
            & ssList(X4) )
        & ! [X12] :
            ( ! [X13] :
                ( ~ ssList(X13)
                | ! [X14] :
                    ( ? [X15] :
                        ( memberP(X14,X15)
                        & ~ leq(X12,X15)
                        & memberP(X13,X15)
                        & ssItem(X15)
                        & lt(X12,X15) )
                    | ~ ssList(X14)
                    | sK0 != app(app(X13,cons(X12,nil)),X14) ) )
            | ~ ssItem(X12) )
        & ( nil = X3
          | nil != sK2 )
        & sK1 = X3
        & sK0 = sK2 )
   => ( nil != sK0
      & ssList(sK3)
      & ? [X4] :
          ( ? [X5] :
              ( ! [X6] :
                  ( ~ ssItem(X6)
                  | ! [X7] :
                      ( ~ ssList(X7)
                      | app(cons(X6,nil),X7) != X5
                      | ! [X8] :
                          ( ~ ssList(X8)
                          | app(X8,cons(X6,nil)) != sK2 ) ) )
              & sK3 = app(app(X4,sK2),X5)
              & ! [X9] :
                  ( ! [X10] :
                      ( ! [X11] :
                          ( ~ ssList(X11)
                          | app(cons(X9,nil),X11) != sK2 )
                      | ~ ssList(X10)
                      | app(X10,cons(X9,nil)) != X4 )
                  | ~ ssItem(X9) )
              & ssList(X5)
              & equalelemsP(sK2) )
          & ssList(X4) )
      & ! [X12] :
          ( ! [X13] :
              ( ~ ssList(X13)
              | ! [X14] :
                  ( ? [X15] :
                      ( memberP(X14,X15)
                      & ~ leq(X12,X15)
                      & memberP(X13,X15)
                      & ssItem(X15)
                      & lt(X12,X15) )
                  | ~ ssList(X14)
                  | sK0 != app(app(X13,cons(X12,nil)),X14) ) )
          | ~ ssItem(X12) )
      & ( nil = sK3
        | nil != sK2 )
      & sK1 = sK3
      & sK0 = sK2 ) ),
    introduced(choice_axiom,[]) ).

fof(f144,plain,
    ( ? [X4] :
        ( ? [X5] :
            ( ! [X6] :
                ( ~ ssItem(X6)
                | ! [X7] :
                    ( ~ ssList(X7)
                    | app(cons(X6,nil),X7) != X5
                    | ! [X8] :
                        ( ~ ssList(X8)
                        | app(X8,cons(X6,nil)) != sK2 ) ) )
            & sK3 = app(app(X4,sK2),X5)
            & ! [X9] :
                ( ! [X10] :
                    ( ! [X11] :
                        ( ~ ssList(X11)
                        | app(cons(X9,nil),X11) != sK2 )
                    | ~ ssList(X10)
                    | app(X10,cons(X9,nil)) != X4 )
                | ~ ssItem(X9) )
            & ssList(X5)
            & equalelemsP(sK2) )
        & ssList(X4) )
   => ( ? [X5] :
          ( ! [X6] :
              ( ~ ssItem(X6)
              | ! [X7] :
                  ( ~ ssList(X7)
                  | app(cons(X6,nil),X7) != X5
                  | ! [X8] :
                      ( ~ ssList(X8)
                      | app(X8,cons(X6,nil)) != sK2 ) ) )
          & app(app(sK4,sK2),X5) = sK3
          & ! [X9] :
              ( ! [X10] :
                  ( ! [X11] :
                      ( ~ ssList(X11)
                      | app(cons(X9,nil),X11) != sK2 )
                  | ~ ssList(X10)
                  | app(X10,cons(X9,nil)) != sK4 )
              | ~ ssItem(X9) )
          & ssList(X5)
          & equalelemsP(sK2) )
      & ssList(sK4) ) ),
    introduced(choice_axiom,[]) ).

fof(f145,plain,
    ( ? [X5] :
        ( ! [X6] :
            ( ~ ssItem(X6)
            | ! [X7] :
                ( ~ ssList(X7)
                | app(cons(X6,nil),X7) != X5
                | ! [X8] :
                    ( ~ ssList(X8)
                    | app(X8,cons(X6,nil)) != sK2 ) ) )
        & app(app(sK4,sK2),X5) = sK3
        & ! [X9] :
            ( ! [X10] :
                ( ! [X11] :
                    ( ~ ssList(X11)
                    | app(cons(X9,nil),X11) != sK2 )
                | ~ ssList(X10)
                | app(X10,cons(X9,nil)) != sK4 )
            | ~ ssItem(X9) )
        & ssList(X5)
        & equalelemsP(sK2) )
   => ( ! [X6] :
          ( ~ ssItem(X6)
          | ! [X7] :
              ( ~ ssList(X7)
              | app(cons(X6,nil),X7) != sK5
              | ! [X8] :
                  ( ~ ssList(X8)
                  | app(X8,cons(X6,nil)) != sK2 ) ) )
      & app(app(sK4,sK2),sK5) = sK3
      & ! [X9] :
          ( ! [X10] :
              ( ! [X11] :
                  ( ~ ssList(X11)
                  | app(cons(X9,nil),X11) != sK2 )
              | ~ ssList(X10)
              | app(X10,cons(X9,nil)) != sK4 )
          | ~ ssItem(X9) )
      & ssList(sK5)
      & equalelemsP(sK2) ) ),
    introduced(choice_axiom,[]) ).

fof(f146,plain,
    ! [X12,X13,X14] :
      ( ? [X15] :
          ( memberP(X14,X15)
          & ~ leq(X12,X15)
          & memberP(X13,X15)
          & ssItem(X15)
          & lt(X12,X15) )
     => ( memberP(X14,sK6(X12,X13,X14))
        & ~ leq(X12,sK6(X12,X13,X14))
        & memberP(X13,sK6(X12,X13,X14))
        & ssItem(sK6(X12,X13,X14))
        & lt(X12,sK6(X12,X13,X14)) ) ),
    introduced(choice_axiom,[]) ).

fof(f126,plain,
    ? [X0] :
      ( ? [X1] :
          ( ssList(X1)
          & ? [X2] :
              ( ssList(X2)
              & ? [X3] :
                  ( nil != X0
                  & ssList(X3)
                  & ? [X4] :
                      ( ? [X5] :
                          ( ! [X6] :
                              ( ~ ssItem(X6)
                              | ! [X7] :
                                  ( ~ ssList(X7)
                                  | app(cons(X6,nil),X7) != X5
                                  | ! [X8] :
                                      ( ~ ssList(X8)
                                      | app(X8,cons(X6,nil)) != X2 ) ) )
                          & app(app(X4,X2),X5) = X3
                          & ! [X9] :
                              ( ! [X10] :
                                  ( ! [X11] :
                                      ( ~ ssList(X11)
                                      | app(cons(X9,nil),X11) != X2 )
                                  | ~ ssList(X10)
                                  | app(X10,cons(X9,nil)) != X4 )
                              | ~ ssItem(X9) )
                          & ssList(X5)
                          & equalelemsP(X2) )
                      & ssList(X4) )
                  & ! [X12] :
                      ( ! [X13] :
                          ( ~ ssList(X13)
                          | ! [X14] :
                              ( ? [X15] :
                                  ( memberP(X14,X15)
                                  & ~ leq(X12,X15)
                                  & memberP(X13,X15)
                                  & ssItem(X15)
                                  & lt(X12,X15) )
                              | ~ ssList(X14)
                              | app(app(X13,cons(X12,nil)),X14) != X0 ) )
                      | ~ ssItem(X12) )
                  & ( nil = X3
                    | nil != X2 )
                  & X1 = X3
                  & X0 = X2 ) ) )
      & ssList(X0) ),
    inference(ennf_transformation,[],[f98]) ).

fof(f98,plain,
    ~ ! [X0] :
        ( ssList(X0)
       => ! [X1] :
            ( ssList(X1)
           => ! [X2] :
                ( ssList(X2)
               => ! [X3] :
                    ( nil = X0
                    | ~ ssList(X3)
                    | X1 != X3
                    | ? [X12] :
                        ( ssItem(X12)
                        & ? [X13] :
                            ( ssList(X13)
                            & ? [X14] :
                                ( ssList(X14)
                                & app(app(X13,cons(X12,nil)),X14) = X0
                                & ! [X15] :
                                    ( ~ lt(X12,X15)
                                    | ~ memberP(X13,X15)
                                    | ~ ssItem(X15)
                                    | ~ memberP(X14,X15)
                                    | leq(X12,X15) ) ) ) )
                    | ! [X4] :
                        ( ssList(X4)
                       => ! [X5] :
                            ( ? [X6] :
                                ( ? [X7] :
                                    ( ssList(X7)
                                    & app(cons(X6,nil),X7) = X5
                                    & ? [X8] :
                                        ( ssList(X8)
                                        & app(X8,cons(X6,nil)) = X2 ) )
                                & ssItem(X6) )
                            | ? [X9] :
                                ( ? [X10] :
                                    ( ssList(X10)
                                    & app(X10,cons(X9,nil)) = X4
                                    & ? [X11] :
                                        ( ssList(X11)
                                        & app(cons(X9,nil),X11) = X2 ) )
                                & ssItem(X9) )
                            | ~ ssList(X5)
                            | app(app(X4,X2),X5) != X3
                            | ~ equalelemsP(X2) ) )
                    | ( nil = X2
                      & nil != X3 )
                    | X0 != X2 ) ) ) ),
    inference(rectify,[],[f97]) ).

fof(f97,negated_conjecture,
    ~ ! [X0] :
        ( ssList(X0)
       => ! [X1] :
            ( ssList(X1)
           => ! [X2] :
                ( ssList(X2)
               => ! [X3] :
                    ( ( nil = X2
                      & nil != X3 )
                    | X1 != X3
                    | ! [X8] :
                        ( ssList(X8)
                       => ! [X9] :
                            ( ? [X13] :
                                ( ssItem(X13)
                                & ? [X14] :
                                    ( ssList(X14)
                                    & app(cons(X13,nil),X14) = X9
                                    & ? [X15] :
                                        ( ssList(X15)
                                        & app(X15,cons(X13,nil)) = X2 ) ) )
                            | ? [X10] :
                                ( ? [X11] :
                                    ( app(X11,cons(X10,nil)) = X8
                                    & ssList(X11)
                                    & ? [X12] :
                                        ( app(cons(X10,nil),X12) = X2
                                        & ssList(X12) ) )
                                & ssItem(X10) )
                            | app(app(X8,X2),X9) != X3
                            | ~ ssList(X9)
                            | ~ equalelemsP(X2) ) )
                    | ~ ssList(X3)
                    | X0 != X2
                    | nil = X0
                    | ? [X4] :
                        ( ? [X5] :
                            ( ? [X6] :
                                ( ! [X7] :
                                    ( leq(X4,X7)
                                    | ~ memberP(X6,X7)
                                    | ~ memberP(X5,X7)
                                    | ~ ssItem(X7)
                                    | ~ lt(X4,X7) )
                                & app(app(X5,cons(X4,nil)),X6) = X0
                                & ssList(X6) )
                            & ssList(X5) )
                        & ssItem(X4) ) ) ) ) ),
    inference(negated_conjecture,[],[f96]) ).

fof(f96,conjecture,
    ! [X0] :
      ( ssList(X0)
     => ! [X1] :
          ( ssList(X1)
         => ! [X2] :
              ( ssList(X2)
             => ! [X3] :
                  ( ( nil = X2
                    & nil != X3 )
                  | X1 != X3
                  | ! [X8] :
                      ( ssList(X8)
                     => ! [X9] :
                          ( ? [X13] :
                              ( ssItem(X13)
                              & ? [X14] :
                                  ( ssList(X14)
                                  & app(cons(X13,nil),X14) = X9
                                  & ? [X15] :
                                      ( ssList(X15)
                                      & app(X15,cons(X13,nil)) = X2 ) ) )
                          | ? [X10] :
                              ( ? [X11] :
                                  ( app(X11,cons(X10,nil)) = X8
                                  & ssList(X11)
                                  & ? [X12] :
                                      ( app(cons(X10,nil),X12) = X2
                                      & ssList(X12) ) )
                              & ssItem(X10) )
                          | app(app(X8,X2),X9) != X3
                          | ~ ssList(X9)
                          | ~ equalelemsP(X2) ) )
                  | ~ ssList(X3)
                  | X0 != X2
                  | nil = X0
                  | ? [X4] :
                      ( ? [X5] :
                          ( ? [X6] :
                              ( ! [X7] :
                                  ( leq(X4,X7)
                                  | ~ memberP(X6,X7)
                                  | ~ memberP(X5,X7)
                                  | ~ ssItem(X7)
                                  | ~ lt(X4,X7) )
                              & app(app(X5,cons(X4,nil)),X6) = X0
                              & ssList(X6) )
                          & ssList(X5) )
                      & ssItem(X4) ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).

fof(f455,plain,
    ( memberP(nil,sK6(sK10(sK2),nil,sK9(sK2)))
    | ~ ssList(sK2)
    | ~ ssList(cons(sK10(sK2),nil))
    | nil = sK2
    | ~ spl17_2 ),
    inference(equality_resolution,[],[f430]) ).

fof(f430,plain,
    ( ! [X0] :
        ( sK2 != X0
        | ~ ssList(X0)
        | nil = X0
        | ~ ssList(cons(sK10(X0),nil))
        | memberP(nil,sK6(sK10(X0),nil,sK9(X0))) )
    | ~ spl17_2 ),
    inference(subsumption_resolution,[],[f429,f227]) ).

fof(f227,plain,
    ! [X0] :
      ( ssItem(sK10(X0))
      | ~ ssList(X0)
      | nil = X0 ),
    inference(cnf_transformation,[],[f159]) ).

fof(f159,plain,
    ! [X0] :
      ( ( ssItem(sK10(X0))
        & cons(sK10(X0),sK9(X0)) = X0
        & ssList(sK9(X0)) )
      | ~ ssList(X0)
      | nil = X0 ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK9,sK10])],[f136,f158,f157]) ).

fof(f157,plain,
    ! [X0] :
      ( ? [X1] :
          ( ? [X2] :
              ( ssItem(X2)
              & cons(X2,X1) = X0 )
          & ssList(X1) )
     => ( ? [X2] :
            ( ssItem(X2)
            & cons(X2,sK9(X0)) = X0 )
        & ssList(sK9(X0)) ) ),
    introduced(choice_axiom,[]) ).

fof(f158,plain,
    ! [X0] :
      ( ? [X2] :
          ( ssItem(X2)
          & cons(X2,sK9(X0)) = X0 )
     => ( ssItem(sK10(X0))
        & cons(sK10(X0),sK9(X0)) = X0 ) ),
    introduced(choice_axiom,[]) ).

fof(f136,plain,
    ! [X0] :
      ( ? [X1] :
          ( ? [X2] :
              ( ssItem(X2)
              & cons(X2,X1) = X0 )
          & ssList(X1) )
      | ~ ssList(X0)
      | nil = X0 ),
    inference(flattening,[],[f135]) ).

fof(f135,plain,
    ! [X0] :
      ( nil = X0
      | ? [X1] :
          ( ? [X2] :
              ( ssItem(X2)
              & cons(X2,X1) = X0 )
          & ssList(X1) )
      | ~ ssList(X0) ),
    inference(ennf_transformation,[],[f20]) ).

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

fof(f429,plain,
    ( ! [X0] :
        ( ~ ssList(cons(sK10(X0),nil))
        | nil = X0
        | memberP(nil,sK6(sK10(X0),nil,sK9(X0)))
        | sK2 != X0
        | ~ ssItem(sK10(X0))
        | ~ ssList(X0) )
    | ~ spl17_2 ),
    inference(subsumption_resolution,[],[f428,f225]) ).

fof(f225,plain,
    ! [X0] :
      ( ssList(sK9(X0))
      | nil = X0
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f159]) ).

fof(f428,plain,
    ( ! [X0] :
        ( ~ ssList(sK9(X0))
        | memberP(nil,sK6(sK10(X0),nil,sK9(X0)))
        | nil = X0
        | ~ ssList(X0)
        | sK2 != X0
        | ~ ssItem(sK10(X0))
        | ~ ssList(cons(sK10(X0),nil)) )
    | ~ spl17_2 ),
    inference(superposition,[],[f405,f226]) ).

fof(f226,plain,
    ! [X0] :
      ( cons(sK10(X0),sK9(X0)) = X0
      | ~ ssList(X0)
      | nil = X0 ),
    inference(cnf_transformation,[],[f159]) ).

fof(f405,plain,
    ( ! [X8,X9] :
        ( cons(X8,X9) != sK2
        | ~ ssList(cons(X8,nil))
        | ~ ssItem(X8)
        | ~ ssList(X9)
        | memberP(nil,sK6(X8,nil,X9)) )
    | ~ spl17_2 ),
    inference(duplicate_literal_removal,[],[f380]) ).

fof(f380,plain,
    ( ! [X8,X9] :
        ( ~ ssItem(X8)
        | ~ ssItem(X8)
        | ~ ssList(X9)
        | ~ ssList(cons(X8,nil))
        | ~ ssList(X9)
        | cons(X8,X9) != sK2
        | memberP(nil,sK6(X8,nil,X9)) )
    | ~ spl17_2 ),
    inference(superposition,[],[f290,f218]) ).

fof(f218,plain,
    ! [X0,X1] :
      ( cons(X1,X0) = app(cons(X1,nil),X0)
      | ~ ssList(X0)
      | ~ ssItem(X1) ),
    inference(cnf_transformation,[],[f114]) ).

fof(f114,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/sandbox/benchmark/theBenchmark.p',ax81) ).

fof(f290,plain,
    ( ! [X2,X3] :
        ( sK2 != app(cons(X2,nil),X3)
        | ~ ssList(cons(X2,nil))
        | ~ ssItem(X2)
        | memberP(nil,sK6(X2,nil,X3))
        | ~ ssList(X3) )
    | ~ spl17_2 ),
    inference(subsumption_resolution,[],[f285,f270]) ).

fof(f270,plain,
    ( ssList(nil)
    | ~ spl17_2 ),
    inference(avatar_component_clause,[],[f269]) ).

fof(f269,plain,
    ( spl17_2
  <=> ssList(nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl17_2])]) ).

fof(f285,plain,
    ! [X2,X3] :
      ( memberP(nil,sK6(X2,nil,X3))
      | ~ ssItem(X2)
      | ~ ssList(X3)
      | ~ ssList(nil)
      | sK2 != app(cons(X2,nil),X3)
      | ~ ssList(cons(X2,nil)) ),
    inference(superposition,[],[f251,f194]) ).

fof(f194,plain,
    ! [X0] :
      ( app(nil,X0) = X0
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f127]) ).

fof(f127,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/sandbox/benchmark/theBenchmark.p',ax28) ).

fof(f251,plain,
    ! [X14,X12,X13] :
      ( app(app(X13,cons(X12,nil)),X14) != sK2
      | ~ ssList(X14)
      | ~ ssList(X13)
      | memberP(X13,sK6(X12,X13,X14))
      | ~ ssItem(X12) ),
    inference(definition_unfolding,[],[f181,f176]) ).

fof(f176,plain,
    sK0 = sK2,
    inference(cnf_transformation,[],[f147]) ).

fof(f181,plain,
    ! [X14,X12,X13] :
      ( ~ ssList(X13)
      | memberP(X13,sK6(X12,X13,X14))
      | ~ ssList(X14)
      | sK0 != app(app(X13,cons(X12,nil)),X14)
      | ~ ssItem(X12) ),
    inference(cnf_transformation,[],[f147]) ).

fof(f454,plain,
    ( ~ spl17_2
    | spl17_3
    | spl17_8 ),
    inference(avatar_contradiction_clause,[],[f453]) ).

fof(f453,plain,
    ( $false
    | ~ spl17_2
    | spl17_3
    | spl17_8 ),
    inference(subsumption_resolution,[],[f452,f276]) ).

fof(f452,plain,
    ( nil = sK2
    | ~ spl17_2
    | spl17_8 ),
    inference(subsumption_resolution,[],[f451,f192]) ).

fof(f451,plain,
    ( ~ ssList(sK2)
    | nil = sK2
    | ~ spl17_2
    | spl17_8 ),
    inference(resolution,[],[f450,f227]) ).

fof(f450,plain,
    ( ~ ssItem(sK10(sK2))
    | ~ spl17_2
    | spl17_8 ),
    inference(subsumption_resolution,[],[f449,f270]) ).

fof(f449,plain,
    ( ~ ssList(nil)
    | ~ ssItem(sK10(sK2))
    | spl17_8 ),
    inference(resolution,[],[f447,f198]) ).

fof(f198,plain,
    ! [X0,X1] :
      ( ssList(cons(X1,X0))
      | ~ ssItem(X1)
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f113]) ).

fof(f113,plain,
    ! [X0] :
      ( ~ ssList(X0)
      | ! [X1] :
          ( ~ ssItem(X1)
          | ssList(cons(X1,X0)) ) ),
    inference(ennf_transformation,[],[f16]) ).

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

fof(f447,plain,
    ( ~ ssList(cons(sK10(sK2),nil))
    | spl17_8 ),
    inference(avatar_component_clause,[],[f445]) ).

fof(f448,plain,
    ( spl17_7
    | ~ spl17_8
    | ~ spl17_2
    | spl17_3 ),
    inference(avatar_split_clause,[],[f439,f274,f269,f445,f441]) ).

fof(f439,plain,
    ( ~ ssList(cons(sK10(sK2),nil))
    | ssItem(sK6(sK10(sK2),nil,sK9(sK2)))
    | ~ spl17_2
    | spl17_3 ),
    inference(subsumption_resolution,[],[f438,f276]) ).

fof(f438,plain,
    ( nil = sK2
    | ~ ssList(cons(sK10(sK2),nil))
    | ssItem(sK6(sK10(sK2),nil,sK9(sK2)))
    | ~ spl17_2 ),
    inference(subsumption_resolution,[],[f437,f192]) ).

fof(f437,plain,
    ( ~ ssList(cons(sK10(sK2),nil))
    | ~ ssList(sK2)
    | ssItem(sK6(sK10(sK2),nil,sK9(sK2)))
    | nil = sK2
    | ~ spl17_2 ),
    inference(equality_resolution,[],[f424]) ).

fof(f424,plain,
    ( ! [X0] :
        ( sK2 != X0
        | ~ ssList(cons(sK10(X0),nil))
        | nil = X0
        | ~ ssList(X0)
        | ssItem(sK6(sK10(X0),nil,sK9(X0))) )
    | ~ spl17_2 ),
    inference(subsumption_resolution,[],[f423,f227]) ).

fof(f423,plain,
    ( ! [X0] :
        ( sK2 != X0
        | nil = X0
        | ~ ssList(cons(sK10(X0),nil))
        | ~ ssList(X0)
        | ~ ssItem(sK10(X0))
        | ssItem(sK6(sK10(X0),nil,sK9(X0))) )
    | ~ spl17_2 ),
    inference(subsumption_resolution,[],[f422,f225]) ).

fof(f422,plain,
    ( ! [X0] :
        ( ~ ssList(sK9(X0))
        | sK2 != X0
        | ~ ssItem(sK10(X0))
        | ssItem(sK6(sK10(X0),nil,sK9(X0)))
        | ~ ssList(X0)
        | ~ ssList(cons(sK10(X0),nil))
        | nil = X0 )
    | ~ spl17_2 ),
    inference(superposition,[],[f409,f226]) ).

fof(f409,plain,
    ( ! [X14,X15] :
        ( cons(X14,X15) != sK2
        | ~ ssList(X15)
        | ~ ssItem(X14)
        | ssItem(sK6(X14,nil,X15))
        | ~ ssList(cons(X14,nil)) )
    | ~ spl17_2 ),
    inference(duplicate_literal_removal,[],[f383]) ).

fof(f383,plain,
    ( ! [X14,X15] :
        ( ~ ssList(X15)
        | ~ ssItem(X14)
        | ~ ssItem(X14)
        | cons(X14,X15) != sK2
        | ~ ssList(cons(X14,nil))
        | ~ ssList(X15)
        | ssItem(sK6(X14,nil,X15)) )
    | ~ spl17_2 ),
    inference(superposition,[],[f293,f218]) ).

fof(f293,plain,
    ( ! [X8,X9] :
        ( app(cons(X8,nil),X9) != sK2
        | ~ ssList(cons(X8,nil))
        | ~ ssList(X9)
        | ~ ssItem(X8)
        | ssItem(sK6(X8,nil,X9)) )
    | ~ spl17_2 ),
    inference(subsumption_resolution,[],[f288,f270]) ).

fof(f288,plain,
    ! [X8,X9] :
      ( ssItem(sK6(X8,nil,X9))
      | ~ ssList(nil)
      | ~ ssItem(X8)
      | ~ ssList(X9)
      | ~ ssList(cons(X8,nil))
      | app(cons(X8,nil),X9) != sK2 ),
    inference(superposition,[],[f252,f194]) ).

fof(f252,plain,
    ! [X14,X12,X13] :
      ( app(app(X13,cons(X12,nil)),X14) != sK2
      | ~ ssItem(X12)
      | ~ ssList(X13)
      | ~ ssList(X14)
      | ssItem(sK6(X12,X13,X14)) ),
    inference(definition_unfolding,[],[f180,f176]) ).

fof(f180,plain,
    ! [X14,X12,X13] :
      ( ~ ssList(X13)
      | ssItem(sK6(X12,X13,X14))
      | ~ ssList(X14)
      | sK0 != app(app(X13,cons(X12,nil)),X14)
      | ~ ssItem(X12) ),
    inference(cnf_transformation,[],[f147]) ).

fof(f283,plain,
    spl17_2,
    inference(avatar_split_clause,[],[f217,f269]) ).

fof(f217,plain,
    ssList(nil),
    inference(cnf_transformation,[],[f17]) ).

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

fof(f282,plain,
    ~ spl17_3,
    inference(avatar_split_clause,[],[f248,f274]) ).

fof(f248,plain,
    nil != sK2,
    inference(definition_unfolding,[],[f191,f176]) ).

fof(f191,plain,
    nil != sK0,
    inference(cnf_transformation,[],[f147]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : SWC246+1 : TPTP v8.1.0. Released v2.4.0.
% 0.03/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.12/0.33  % Computer : n007.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit   : 300
% 0.12/0.33  % WCLimit    : 300
% 0.12/0.33  % DateTime   : Tue Aug 30 18:23:31 EDT 2022
% 0.12/0.33  % CPUTime    : 
% 0.19/0.48  % (454)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)
% 0.19/0.48  % (447)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)
% 0.19/0.49  % (447)Instruction limit reached!
% 0.19/0.49  % (447)------------------------------
% 0.19/0.49  % (447)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.49  % (472)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)
% 0.19/0.49  % (454)Instruction limit reached!
% 0.19/0.49  % (454)------------------------------
% 0.19/0.49  % (454)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.50  % (454)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.50  % (454)Termination reason: Unknown
% 0.19/0.50  % (454)Termination phase: Saturation
% 0.19/0.50  
% 0.19/0.50  % (454)Memory used [KB]: 6140
% 0.19/0.50  % (454)Time elapsed: 0.006 s
% 0.19/0.50  % (454)Instructions burned: 7 (million)
% 0.19/0.50  % (454)------------------------------
% 0.19/0.50  % (454)------------------------------
% 0.19/0.50  % (447)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.50  % (447)Termination reason: Unknown
% 0.19/0.50  % (447)Termination phase: Saturation
% 0.19/0.50  
% 0.19/0.50  % (447)Memory used [KB]: 6268
% 0.19/0.50  % (447)Time elapsed: 0.096 s
% 0.19/0.50  % (447)Instructions burned: 13 (million)
% 0.19/0.50  % (447)------------------------------
% 0.19/0.50  % (447)------------------------------
% 0.19/0.51  % (463)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)
% 0.19/0.51  % (445)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)
% 0.19/0.51  % (457)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)
% 0.19/0.51  % (456)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)
% 0.19/0.51  % (445)Instruction limit reached!
% 0.19/0.51  % (445)------------------------------
% 0.19/0.51  % (445)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.51  % (445)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.51  % (445)Termination reason: Unknown
% 0.19/0.51  % (445)Termination phase: Preprocessing 3
% 0.19/0.51  
% 0.19/0.51  % (445)Memory used [KB]: 1663
% 0.19/0.51  % (445)Time elapsed: 0.003 s
% 0.19/0.51  % (445)Instructions burned: 4 (million)
% 0.19/0.51  % (445)------------------------------
% 0.19/0.51  % (445)------------------------------
% 0.19/0.51  % (457)Instruction limit reached!
% 0.19/0.51  % (457)------------------------------
% 0.19/0.51  % (457)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.51  % (457)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.51  % (457)Termination reason: Unknown
% 0.19/0.51  % (457)Termination phase: Preprocessing 3
% 0.19/0.51  
% 0.19/0.51  % (457)Memory used [KB]: 1663
% 0.19/0.51  % (457)Time elapsed: 0.003 s
% 0.19/0.51  % (457)Instructions burned: 4 (million)
% 0.19/0.51  % (457)------------------------------
% 0.19/0.51  % (457)------------------------------
% 0.19/0.51  % (472)Instruction limit reached!
% 0.19/0.51  % (472)------------------------------
% 0.19/0.51  % (472)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.51  % (443)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 0.19/0.51  % (472)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.51  % (472)Termination reason: Unknown
% 0.19/0.51  % (472)Termination phase: Saturation
% 0.19/0.51  
% 0.19/0.51  % (472)Memory used [KB]: 6524
% 0.19/0.51  % (472)Time elapsed: 0.126 s
% 0.19/0.51  % (472)Instructions burned: 24 (million)
% 0.19/0.51  % (472)------------------------------
% 0.19/0.51  % (472)------------------------------
% 0.19/0.51  % (449)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)
% 0.19/0.52  % (465)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)
% 0.19/0.52  % (471)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)
% 0.19/0.52  % (444)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)
% 0.19/0.52  % (446)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)
% 0.19/0.52  % (448)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)
% 0.19/0.52  % (455)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)
% 0.19/0.53  % (471)Instruction limit reached!
% 0.19/0.53  % (471)------------------------------
% 0.19/0.53  % (471)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53  % (467)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)
% 0.19/0.53  % (460)fmb+10_1:1_nm=2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.19/0.53  % (460)Instruction limit reached!
% 0.19/0.53  % (460)------------------------------
% 0.19/0.53  % (460)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53  % (460)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53  % (460)Termination reason: Unknown
% 0.19/0.53  % (460)Termination phase: Naming
% 0.19/0.53  
% 0.19/0.53  % (460)Memory used [KB]: 1663
% 0.19/0.53  % (460)Time elapsed: 0.003 s
% 0.19/0.53  % (460)Instructions burned: 3 (million)
% 0.19/0.53  % (460)------------------------------
% 0.19/0.53  % (460)------------------------------
% 0.19/0.53  % (471)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53  % (471)Termination reason: Unknown
% 0.19/0.53  % (471)Termination phase: Function definition elimination
% 0.19/0.53  
% 0.19/0.53  % (471)Memory used [KB]: 1791
% 0.19/0.53  % (471)Time elapsed: 0.009 s
% 0.19/0.53  % (471)Instructions burned: 9 (million)
% 0.19/0.53  % (471)------------------------------
% 0.19/0.53  % (471)------------------------------
% 0.19/0.53  % (464)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)
% 0.19/0.53  % (461)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)
% 0.19/0.53  % (470)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)
% 0.19/0.53  % (461)Instruction limit reached!
% 0.19/0.53  % (461)------------------------------
% 0.19/0.53  % (461)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53  % (461)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53  % (461)Termination reason: Unknown
% 0.19/0.53  % (461)Termination phase: Preprocessing 3
% 0.19/0.53  
% 0.19/0.53  % (461)Memory used [KB]: 1535
% 0.19/0.53  % (461)Time elapsed: 0.003 s
% 0.19/0.53  % (461)Instructions burned: 3 (million)
% 0.19/0.53  % (461)------------------------------
% 0.19/0.53  % (461)------------------------------
% 0.19/0.53  % (452)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)
% 0.19/0.53  % (451)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)
% 0.19/0.53  % (469)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)
% 0.19/0.53  % (468)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)
% 0.19/0.54  % (459)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)
% 1.37/0.54  % (453)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)
% 1.37/0.54  % (455)Instruction limit reached!
% 1.37/0.54  % (455)------------------------------
% 1.37/0.54  % (455)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.37/0.54  % (455)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.37/0.54  % (455)Termination reason: Unknown
% 1.37/0.54  % (455)Termination phase: Saturation
% 1.37/0.54  
% 1.37/0.54  % (455)Memory used [KB]: 2046
% 1.37/0.54  % (455)Time elapsed: 0.154 s
% 1.37/0.54  % (455)Instructions burned: 17 (million)
% 1.37/0.54  % (455)------------------------------
% 1.37/0.54  % (455)------------------------------
% 1.37/0.54  % (466)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)
% 1.37/0.54  % (462)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)
% 1.37/0.54  % (449)First to succeed.
% 1.37/0.55  % (444)Instruction limit reached!
% 1.37/0.55  % (444)------------------------------
% 1.37/0.55  % (444)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.37/0.55  % (444)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.37/0.55  % (444)Termination reason: Unknown
% 1.37/0.55  % (444)Termination phase: Saturation
% 1.37/0.55  
% 1.37/0.55  % (444)Memory used [KB]: 1918
% 1.37/0.55  % (444)Time elapsed: 0.008 s
% 1.37/0.55  % (444)Instructions burned: 13 (million)
% 1.37/0.55  % (444)------------------------------
% 1.37/0.55  % (444)------------------------------
% 1.37/0.55  % (448)Instruction limit reached!
% 1.37/0.55  % (448)------------------------------
% 1.37/0.55  % (448)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.37/0.55  % (448)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.37/0.55  % (448)Termination reason: Unknown
% 1.37/0.55  % (448)Termination phase: Saturation
% 1.37/0.55  
% 1.37/0.55  % (448)Memory used [KB]: 1791
% 1.37/0.55  % (448)Time elapsed: 0.148 s
% 1.37/0.55  % (448)Instructions burned: 15 (million)
% 1.37/0.55  % (448)------------------------------
% 1.37/0.55  % (448)------------------------------
% 1.37/0.55  % (450)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)
% 1.37/0.55  % (462)Instruction limit reached!
% 1.37/0.55  % (462)------------------------------
% 1.37/0.55  % (462)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.37/0.55  % (462)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.37/0.55  % (462)Termination reason: Unknown
% 1.37/0.55  % (462)Termination phase: Saturation
% 1.37/0.55  
% 1.37/0.55  % (462)Memory used [KB]: 6268
% 1.37/0.55  % (462)Time elapsed: 0.170 s
% 1.37/0.55  % (462)Instructions burned: 11 (million)
% 1.37/0.55  % (462)------------------------------
% 1.37/0.55  % (462)------------------------------
% 1.37/0.55  % (458)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)
% 1.37/0.56  % (458)Instruction limit reached!
% 1.37/0.56  % (458)------------------------------
% 1.37/0.56  % (458)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.66/0.56  % (470)Instruction limit reached!
% 1.66/0.56  % (470)------------------------------
% 1.66/0.56  % (470)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.66/0.56  % (470)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.66/0.56  % (470)Termination reason: Unknown
% 1.66/0.56  % (470)Termination phase: Saturation
% 1.66/0.56  
% 1.66/0.56  % (470)Memory used [KB]: 6652
% 1.66/0.56  % (470)Time elapsed: 0.176 s
% 1.66/0.56  % (470)Instructions burned: 25 (million)
% 1.66/0.56  % (470)------------------------------
% 1.66/0.56  % (470)------------------------------
% 1.66/0.56  % (458)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.66/0.56  % (458)Termination reason: Unknown
% 1.66/0.56  % (458)Termination phase: Property scanning
% 1.66/0.56  
% 1.66/0.56  % (458)Memory used [KB]: 1791
% 1.66/0.56  % (458)Time elapsed: 0.007 s
% 1.66/0.56  % (458)Instructions burned: 7 (million)
% 1.66/0.56  % (458)------------------------------
% 1.66/0.56  % (458)------------------------------
% 1.66/0.57  % (453)Refutation not found, incomplete strategy% (453)------------------------------
% 1.66/0.57  % (453)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.66/0.57  % (453)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.66/0.57  % (453)Termination reason: Refutation not found, incomplete strategy
% 1.66/0.57  
% 1.66/0.57  % (453)Memory used [KB]: 6268
% 1.66/0.57  % (453)Time elapsed: 0.160 s
% 1.66/0.57  % (453)Instructions burned: 11 (million)
% 1.66/0.57  % (453)------------------------------
% 1.66/0.57  % (453)------------------------------
% 1.66/0.57  % (449)Refutation found. Thanks to Tanya!
% 1.66/0.57  % SZS status Theorem for theBenchmark
% 1.66/0.57  % SZS output start Proof for theBenchmark
% See solution above
% 1.66/0.57  % (449)------------------------------
% 1.66/0.57  % (449)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.66/0.57  % (449)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.66/0.57  % (449)Termination reason: Refutation
% 1.66/0.57  
% 1.66/0.57  % (449)Memory used [KB]: 6268
% 1.66/0.57  % (449)Time elapsed: 0.124 s
% 1.66/0.57  % (449)Instructions burned: 16 (million)
% 1.66/0.57  % (449)------------------------------
% 1.66/0.57  % (449)------------------------------
% 1.66/0.57  % (442)Success in time 0.22 s
%------------------------------------------------------------------------------