TSTP Solution File: SWC234+1 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : SWC234+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 : n010.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 18:39:47 EDT 2022

% Result   : Theorem 2.41s 0.69s
% Output   : Refutation 2.41s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   21
%            Number of leaves      :   19
% Syntax   : Number of formulae    :   85 (   9 unt;   0 def)
%            Number of atoms       :  631 ( 178 equ)
%            Maximal formula atoms :   52 (   7 avg)
%            Number of connectives :  870 ( 324   ~; 315   |; 203   &)
%                                         (   4 <=>;  24  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   27 (   7 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :   12 (  10 usr;   5 prp; 0-2 aty)
%            Number of functors    :   11 (  11 usr;   6 con; 0-3 aty)
%            Number of variables   :  216 ( 148   !;  68   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f443,plain,
    $false,
    inference(avatar_sat_refutation,[],[f279,f280,f427,f433,f442]) ).

fof(f442,plain,
    ( ~ spl16_1
    | spl16_3
    | ~ spl16_5
    | ~ spl16_6 ),
    inference(avatar_contradiction_clause,[],[f441]) ).

fof(f441,plain,
    ( $false
    | ~ spl16_1
    | spl16_3
    | ~ spl16_5
    | ~ spl16_6 ),
    inference(subsumption_resolution,[],[f440,f422]) ).

fof(f422,plain,
    ( ssItem(sK7(sK11(sK4),nil,sK10(sK4)))
    | ~ spl16_5 ),
    inference(avatar_component_clause,[],[f420]) ).

fof(f420,plain,
    ( spl16_5
  <=> ssItem(sK7(sK11(sK4),nil,sK10(sK4))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl16_5])]) ).

fof(f440,plain,
    ( ~ ssItem(sK7(sK11(sK4),nil,sK10(sK4)))
    | ~ spl16_1
    | spl16_3
    | ~ spl16_6 ),
    inference(resolution,[],[f439,f201]) ).

fof(f201,plain,
    ! [X0] :
      ( ~ memberP(nil,X0)
      | ~ ssItem(X0) ),
    inference(cnf_transformation,[],[f101]) ).

fof(f101,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(f439,plain,
    ( memberP(nil,sK7(sK11(sK4),nil,sK10(sK4)))
    | ~ spl16_1
    | spl16_3
    | ~ spl16_6 ),
    inference(subsumption_resolution,[],[f438,f425]) ).

fof(f425,plain,
    ( ssList(cons(sK11(sK4),nil))
    | ~ spl16_6 ),
    inference(avatar_component_clause,[],[f424]) ).

fof(f424,plain,
    ( spl16_6
  <=> ssList(cons(sK11(sK4),nil)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl16_6])]) ).

fof(f438,plain,
    ( ~ ssList(cons(sK11(sK4),nil))
    | memberP(nil,sK7(sK11(sK4),nil,sK10(sK4)))
    | ~ spl16_1
    | spl16_3 ),
    inference(subsumption_resolution,[],[f437,f197]) ).

fof(f197,plain,
    ssList(sK4),
    inference(cnf_transformation,[],[f151]) ).

fof(f151,plain,
    ( ssList(sK2)
    & ssList(sK4)
    & ssList(sK5)
    & ( nil = sK5
      | nil != sK4 )
    & sK2 = sK4
    & nil != sK2
    & ssList(sK6)
    & equalelemsP(sK4)
    & sK5 = app(sK4,sK6)
    & ! [X5] :
        ( ~ ssItem(X5)
        | ! [X6] :
            ( ! [X7] :
                ( ~ ssList(X7)
                | app(X7,cons(X5,nil)) != sK4 )
            | ~ ssList(X6)
            | sK6 != app(cons(X5,nil),X6) ) )
    & ! [X8] :
        ( ! [X9] :
            ( ~ ssList(X9)
            | ! [X10] :
                ( ( ~ lt(X8,sK7(X8,X9,X10))
                  & memberP(X10,sK7(X8,X9,X10))
                  & ssItem(sK7(X8,X9,X10))
                  & memberP(X9,sK7(X8,X9,X10))
                  & leq(X8,sK7(X8,X9,X10)) )
                | ~ ssList(X10)
                | sK2 != app(app(X9,cons(X8,nil)),X10) ) )
        | ~ ssItem(X8) )
    & sK3 = sK5
    & ssList(sK3) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK2,sK3,sK4,sK5,sK6,sK7])],[f127,f150,f149,f148,f147,f146,f145]) ).

fof(f145,plain,
    ( ? [X0] :
        ( ssList(X0)
        & ? [X1] :
            ( ? [X2] :
                ( ssList(X2)
                & ? [X3] :
                    ( ssList(X3)
                    & ( nil = X3
                      | nil != X2 )
                    & X0 = X2
                    & nil != X0
                    & ? [X4] :
                        ( ssList(X4)
                        & equalelemsP(X2)
                        & app(X2,X4) = X3
                        & ! [X5] :
                            ( ~ ssItem(X5)
                            | ! [X6] :
                                ( ! [X7] :
                                    ( ~ ssList(X7)
                                    | app(X7,cons(X5,nil)) != X2 )
                                | ~ ssList(X6)
                                | app(cons(X5,nil),X6) != X4 ) ) )
                    & ! [X8] :
                        ( ! [X9] :
                            ( ~ ssList(X9)
                            | ! [X10] :
                                ( ? [X11] :
                                    ( ~ lt(X8,X11)
                                    & memberP(X10,X11)
                                    & ssItem(X11)
                                    & memberP(X9,X11)
                                    & leq(X8,X11) )
                                | ~ ssList(X10)
                                | app(app(X9,cons(X8,nil)),X10) != X0 ) )
                        | ~ ssItem(X8) )
                    & X1 = X3 ) )
            & ssList(X1) ) )
   => ( ssList(sK2)
      & ? [X1] :
          ( ? [X2] :
              ( ssList(X2)
              & ? [X3] :
                  ( ssList(X3)
                  & ( nil = X3
                    | nil != X2 )
                  & sK2 = X2
                  & nil != sK2
                  & ? [X4] :
                      ( ssList(X4)
                      & equalelemsP(X2)
                      & app(X2,X4) = X3
                      & ! [X5] :
                          ( ~ ssItem(X5)
                          | ! [X6] :
                              ( ! [X7] :
                                  ( ~ ssList(X7)
                                  | app(X7,cons(X5,nil)) != X2 )
                              | ~ ssList(X6)
                              | app(cons(X5,nil),X6) != X4 ) ) )
                  & ! [X8] :
                      ( ! [X9] :
                          ( ~ ssList(X9)
                          | ! [X10] :
                              ( ? [X11] :
                                  ( ~ lt(X8,X11)
                                  & memberP(X10,X11)
                                  & ssItem(X11)
                                  & memberP(X9,X11)
                                  & leq(X8,X11) )
                              | ~ ssList(X10)
                              | sK2 != app(app(X9,cons(X8,nil)),X10) ) )
                      | ~ ssItem(X8) )
                  & X1 = X3 ) )
          & ssList(X1) ) ) ),
    introduced(choice_axiom,[]) ).

fof(f146,plain,
    ( ? [X1] :
        ( ? [X2] :
            ( ssList(X2)
            & ? [X3] :
                ( ssList(X3)
                & ( nil = X3
                  | nil != X2 )
                & sK2 = X2
                & nil != sK2
                & ? [X4] :
                    ( ssList(X4)
                    & equalelemsP(X2)
                    & app(X2,X4) = X3
                    & ! [X5] :
                        ( ~ ssItem(X5)
                        | ! [X6] :
                            ( ! [X7] :
                                ( ~ ssList(X7)
                                | app(X7,cons(X5,nil)) != X2 )
                            | ~ ssList(X6)
                            | app(cons(X5,nil),X6) != X4 ) ) )
                & ! [X8] :
                    ( ! [X9] :
                        ( ~ ssList(X9)
                        | ! [X10] :
                            ( ? [X11] :
                                ( ~ lt(X8,X11)
                                & memberP(X10,X11)
                                & ssItem(X11)
                                & memberP(X9,X11)
                                & leq(X8,X11) )
                            | ~ ssList(X10)
                            | sK2 != app(app(X9,cons(X8,nil)),X10) ) )
                    | ~ ssItem(X8) )
                & X1 = X3 ) )
        & ssList(X1) )
   => ( ? [X2] :
          ( ssList(X2)
          & ? [X3] :
              ( ssList(X3)
              & ( nil = X3
                | nil != X2 )
              & sK2 = X2
              & nil != sK2
              & ? [X4] :
                  ( ssList(X4)
                  & equalelemsP(X2)
                  & app(X2,X4) = X3
                  & ! [X5] :
                      ( ~ ssItem(X5)
                      | ! [X6] :
                          ( ! [X7] :
                              ( ~ ssList(X7)
                              | app(X7,cons(X5,nil)) != X2 )
                          | ~ ssList(X6)
                          | app(cons(X5,nil),X6) != X4 ) ) )
              & ! [X8] :
                  ( ! [X9] :
                      ( ~ ssList(X9)
                      | ! [X10] :
                          ( ? [X11] :
                              ( ~ lt(X8,X11)
                              & memberP(X10,X11)
                              & ssItem(X11)
                              & memberP(X9,X11)
                              & leq(X8,X11) )
                          | ~ ssList(X10)
                          | sK2 != app(app(X9,cons(X8,nil)),X10) ) )
                  | ~ ssItem(X8) )
              & sK3 = X3 ) )
      & ssList(sK3) ) ),
    introduced(choice_axiom,[]) ).

fof(f147,plain,
    ( ? [X2] :
        ( ssList(X2)
        & ? [X3] :
            ( ssList(X3)
            & ( nil = X3
              | nil != X2 )
            & sK2 = X2
            & nil != sK2
            & ? [X4] :
                ( ssList(X4)
                & equalelemsP(X2)
                & app(X2,X4) = X3
                & ! [X5] :
                    ( ~ ssItem(X5)
                    | ! [X6] :
                        ( ! [X7] :
                            ( ~ ssList(X7)
                            | app(X7,cons(X5,nil)) != X2 )
                        | ~ ssList(X6)
                        | app(cons(X5,nil),X6) != X4 ) ) )
            & ! [X8] :
                ( ! [X9] :
                    ( ~ ssList(X9)
                    | ! [X10] :
                        ( ? [X11] :
                            ( ~ lt(X8,X11)
                            & memberP(X10,X11)
                            & ssItem(X11)
                            & memberP(X9,X11)
                            & leq(X8,X11) )
                        | ~ ssList(X10)
                        | sK2 != app(app(X9,cons(X8,nil)),X10) ) )
                | ~ ssItem(X8) )
            & sK3 = X3 ) )
   => ( ssList(sK4)
      & ? [X3] :
          ( ssList(X3)
          & ( nil = X3
            | nil != sK4 )
          & sK2 = sK4
          & nil != sK2
          & ? [X4] :
              ( ssList(X4)
              & equalelemsP(sK4)
              & app(sK4,X4) = X3
              & ! [X5] :
                  ( ~ ssItem(X5)
                  | ! [X6] :
                      ( ! [X7] :
                          ( ~ ssList(X7)
                          | app(X7,cons(X5,nil)) != sK4 )
                      | ~ ssList(X6)
                      | app(cons(X5,nil),X6) != X4 ) ) )
          & ! [X8] :
              ( ! [X9] :
                  ( ~ ssList(X9)
                  | ! [X10] :
                      ( ? [X11] :
                          ( ~ lt(X8,X11)
                          & memberP(X10,X11)
                          & ssItem(X11)
                          & memberP(X9,X11)
                          & leq(X8,X11) )
                      | ~ ssList(X10)
                      | sK2 != app(app(X9,cons(X8,nil)),X10) ) )
              | ~ ssItem(X8) )
          & sK3 = X3 ) ) ),
    introduced(choice_axiom,[]) ).

fof(f148,plain,
    ( ? [X3] :
        ( ssList(X3)
        & ( nil = X3
          | nil != sK4 )
        & sK2 = sK4
        & nil != sK2
        & ? [X4] :
            ( ssList(X4)
            & equalelemsP(sK4)
            & app(sK4,X4) = X3
            & ! [X5] :
                ( ~ ssItem(X5)
                | ! [X6] :
                    ( ! [X7] :
                        ( ~ ssList(X7)
                        | app(X7,cons(X5,nil)) != sK4 )
                    | ~ ssList(X6)
                    | app(cons(X5,nil),X6) != X4 ) ) )
        & ! [X8] :
            ( ! [X9] :
                ( ~ ssList(X9)
                | ! [X10] :
                    ( ? [X11] :
                        ( ~ lt(X8,X11)
                        & memberP(X10,X11)
                        & ssItem(X11)
                        & memberP(X9,X11)
                        & leq(X8,X11) )
                    | ~ ssList(X10)
                    | sK2 != app(app(X9,cons(X8,nil)),X10) ) )
            | ~ ssItem(X8) )
        & sK3 = X3 )
   => ( ssList(sK5)
      & ( nil = sK5
        | nil != sK4 )
      & sK2 = sK4
      & nil != sK2
      & ? [X4] :
          ( ssList(X4)
          & equalelemsP(sK4)
          & app(sK4,X4) = sK5
          & ! [X5] :
              ( ~ ssItem(X5)
              | ! [X6] :
                  ( ! [X7] :
                      ( ~ ssList(X7)
                      | app(X7,cons(X5,nil)) != sK4 )
                  | ~ ssList(X6)
                  | app(cons(X5,nil),X6) != X4 ) ) )
      & ! [X8] :
          ( ! [X9] :
              ( ~ ssList(X9)
              | ! [X10] :
                  ( ? [X11] :
                      ( ~ lt(X8,X11)
                      & memberP(X10,X11)
                      & ssItem(X11)
                      & memberP(X9,X11)
                      & leq(X8,X11) )
                  | ~ ssList(X10)
                  | sK2 != app(app(X9,cons(X8,nil)),X10) ) )
          | ~ ssItem(X8) )
      & sK3 = sK5 ) ),
    introduced(choice_axiom,[]) ).

fof(f149,plain,
    ( ? [X4] :
        ( ssList(X4)
        & equalelemsP(sK4)
        & app(sK4,X4) = sK5
        & ! [X5] :
            ( ~ ssItem(X5)
            | ! [X6] :
                ( ! [X7] :
                    ( ~ ssList(X7)
                    | app(X7,cons(X5,nil)) != sK4 )
                | ~ ssList(X6)
                | app(cons(X5,nil),X6) != X4 ) ) )
   => ( ssList(sK6)
      & equalelemsP(sK4)
      & sK5 = app(sK4,sK6)
      & ! [X5] :
          ( ~ ssItem(X5)
          | ! [X6] :
              ( ! [X7] :
                  ( ~ ssList(X7)
                  | app(X7,cons(X5,nil)) != sK4 )
              | ~ ssList(X6)
              | sK6 != app(cons(X5,nil),X6) ) ) ) ),
    introduced(choice_axiom,[]) ).

fof(f150,plain,
    ! [X8,X9,X10] :
      ( ? [X11] :
          ( ~ lt(X8,X11)
          & memberP(X10,X11)
          & ssItem(X11)
          & memberP(X9,X11)
          & leq(X8,X11) )
     => ( ~ lt(X8,sK7(X8,X9,X10))
        & memberP(X10,sK7(X8,X9,X10))
        & ssItem(sK7(X8,X9,X10))
        & memberP(X9,sK7(X8,X9,X10))
        & leq(X8,sK7(X8,X9,X10)) ) ),
    introduced(choice_axiom,[]) ).

fof(f127,plain,
    ? [X0] :
      ( ssList(X0)
      & ? [X1] :
          ( ? [X2] :
              ( ssList(X2)
              & ? [X3] :
                  ( ssList(X3)
                  & ( nil = X3
                    | nil != X2 )
                  & X0 = X2
                  & nil != X0
                  & ? [X4] :
                      ( ssList(X4)
                      & equalelemsP(X2)
                      & app(X2,X4) = X3
                      & ! [X5] :
                          ( ~ ssItem(X5)
                          | ! [X6] :
                              ( ! [X7] :
                                  ( ~ ssList(X7)
                                  | app(X7,cons(X5,nil)) != X2 )
                              | ~ ssList(X6)
                              | app(cons(X5,nil),X6) != X4 ) ) )
                  & ! [X8] :
                      ( ! [X9] :
                          ( ~ ssList(X9)
                          | ! [X10] :
                              ( ? [X11] :
                                  ( ~ lt(X8,X11)
                                  & memberP(X10,X11)
                                  & ssItem(X11)
                                  & memberP(X9,X11)
                                  & leq(X8,X11) )
                              | ~ ssList(X10)
                              | app(app(X9,cons(X8,nil)),X10) != X0 ) )
                      | ~ ssItem(X8) )
                  & X1 = X3 ) )
          & ssList(X1) ) ),
    inference(ennf_transformation,[],[f98]) ).

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

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

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

fof(f437,plain,
    ( ~ ssList(sK4)
    | memberP(nil,sK7(sK11(sK4),nil,sK10(sK4)))
    | ~ ssList(cons(sK11(sK4),nil))
    | ~ spl16_1
    | spl16_3 ),
    inference(subsumption_resolution,[],[f436,f273]) ).

fof(f273,plain,
    ( nil != sK4
    | spl16_3 ),
    inference(avatar_component_clause,[],[f271]) ).

fof(f271,plain,
    ( spl16_3
  <=> nil = sK4 ),
    introduced(avatar_definition,[new_symbols(naming,[spl16_3])]) ).

fof(f436,plain,
    ( nil = sK4
    | ~ ssList(cons(sK11(sK4),nil))
    | memberP(nil,sK7(sK11(sK4),nil,sK10(sK4)))
    | ~ ssList(sK4)
    | ~ spl16_1 ),
    inference(equality_resolution,[],[f409]) ).

fof(f409,plain,
    ( ! [X0] :
        ( sK4 != X0
        | memberP(nil,sK7(sK11(X0),nil,sK10(X0)))
        | ~ ssList(cons(sK11(X0),nil))
        | nil = X0
        | ~ ssList(X0) )
    | ~ spl16_1 ),
    inference(subsumption_resolution,[],[f408,f223]) ).

fof(f223,plain,
    ! [X0] :
      ( ssItem(sK11(X0))
      | ~ ssList(X0)
      | nil = X0 ),
    inference(cnf_transformation,[],[f161]) ).

fof(f161,plain,
    ! [X0] :
      ( ~ ssList(X0)
      | ( ssItem(sK11(X0))
        & cons(sK11(X0),sK10(X0)) = X0
        & ssList(sK10(X0)) )
      | nil = X0 ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK10,sK11])],[f126,f160,f159]) ).

fof(f159,plain,
    ! [X0] :
      ( ? [X1] :
          ( ? [X2] :
              ( ssItem(X2)
              & cons(X2,X1) = X0 )
          & ssList(X1) )
     => ( ? [X2] :
            ( ssItem(X2)
            & cons(X2,sK10(X0)) = X0 )
        & ssList(sK10(X0)) ) ),
    introduced(choice_axiom,[]) ).

fof(f160,plain,
    ! [X0] :
      ( ? [X2] :
          ( ssItem(X2)
          & cons(X2,sK10(X0)) = X0 )
     => ( ssItem(sK11(X0))
        & cons(sK11(X0),sK10(X0)) = X0 ) ),
    introduced(choice_axiom,[]) ).

fof(f126,plain,
    ! [X0] :
      ( ~ ssList(X0)
      | ? [X1] :
          ( ? [X2] :
              ( ssItem(X2)
              & cons(X2,X1) = X0 )
          & ssList(X1) )
      | nil = X0 ),
    inference(flattening,[],[f125]) ).

fof(f125,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(f408,plain,
    ( ! [X0] :
        ( ~ ssItem(sK11(X0))
        | ~ ssList(cons(sK11(X0),nil))
        | ~ ssList(X0)
        | memberP(nil,sK7(sK11(X0),nil,sK10(X0)))
        | nil = X0
        | sK4 != X0 )
    | ~ spl16_1 ),
    inference(subsumption_resolution,[],[f407,f221]) ).

fof(f221,plain,
    ! [X0] :
      ( ssList(sK10(X0))
      | nil = X0
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f161]) ).

fof(f407,plain,
    ( ! [X0] :
        ( ~ ssList(sK10(X0))
        | ~ ssList(cons(sK11(X0),nil))
        | ~ ssItem(sK11(X0))
        | sK4 != X0
        | memberP(nil,sK7(sK11(X0),nil,sK10(X0)))
        | ~ ssList(X0)
        | nil = X0 )
    | ~ spl16_1 ),
    inference(superposition,[],[f384,f222]) ).

fof(f222,plain,
    ! [X0] :
      ( cons(sK11(X0),sK10(X0)) = X0
      | ~ ssList(X0)
      | nil = X0 ),
    inference(cnf_transformation,[],[f161]) ).

fof(f384,plain,
    ( ! [X6,X5] :
        ( cons(X5,X6) != sK4
        | memberP(nil,sK7(X5,nil,X6))
        | ~ ssList(cons(X5,nil))
        | ~ ssItem(X5)
        | ~ ssList(X6) )
    | ~ spl16_1 ),
    inference(duplicate_literal_removal,[],[f363]) ).

fof(f363,plain,
    ( ! [X6,X5] :
        ( cons(X5,X6) != sK4
        | memberP(nil,sK7(X5,nil,X6))
        | ~ ssList(X6)
        | ~ ssItem(X5)
        | ~ ssList(cons(X5,nil))
        | ~ ssItem(X5)
        | ~ ssList(X6) )
    | ~ spl16_1 ),
    inference(superposition,[],[f314,f177]) ).

fof(f177,plain,
    ! [X0,X1] :
      ( cons(X1,X0) = app(cons(X1,nil),X0)
      | ~ ssItem(X1)
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f105]) ).

fof(f105,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,
    ( ! [X6,X7] :
        ( app(cons(X6,nil),X7) != sK4
        | ~ ssItem(X6)
        | ~ ssList(X7)
        | memberP(nil,sK7(X6,nil,X7))
        | ~ ssList(cons(X6,nil)) )
    | ~ spl16_1 ),
    inference(subsumption_resolution,[],[f296,f263]) ).

fof(f263,plain,
    ( ssList(nil)
    | ~ spl16_1 ),
    inference(avatar_component_clause,[],[f262]) ).

fof(f262,plain,
    ( spl16_1
  <=> ssList(nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl16_1])]) ).

fof(f296,plain,
    ! [X6,X7] :
      ( app(cons(X6,nil),X7) != sK4
      | ~ ssList(nil)
      | ~ ssItem(X6)
      | ~ ssList(cons(X6,nil))
      | ~ ssList(X7)
      | memberP(nil,sK7(X6,nil,X7)) ),
    inference(superposition,[],[f249,f229]) ).

fof(f229,plain,
    ! [X0] :
      ( app(nil,X0) = X0
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f129]) ).

fof(f129,plain,
    ! [X0] :
      ( app(nil,X0) = X0
      | ~ ssList(X0) ),
    inference(ennf_transformation,[],[f28]) ).

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

fof(f249,plain,
    ! [X10,X8,X9] :
      ( app(app(X9,cons(X8,nil)),X10) != sK4
      | ~ ssList(X9)
      | ~ ssItem(X8)
      | ~ ssList(X10)
      | memberP(X9,sK7(X8,X9,X10)) ),
    inference(definition_unfolding,[],[f185,f194]) ).

fof(f194,plain,
    sK2 = sK4,
    inference(cnf_transformation,[],[f151]) ).

fof(f185,plain,
    ! [X10,X8,X9] :
      ( ~ ssList(X9)
      | memberP(X9,sK7(X8,X9,X10))
      | ~ ssList(X10)
      | sK2 != app(app(X9,cons(X8,nil)),X10)
      | ~ ssItem(X8) ),
    inference(cnf_transformation,[],[f151]) ).

fof(f433,plain,
    ( ~ spl16_1
    | spl16_3
    | spl16_6 ),
    inference(avatar_contradiction_clause,[],[f432]) ).

fof(f432,plain,
    ( $false
    | ~ spl16_1
    | spl16_3
    | spl16_6 ),
    inference(subsumption_resolution,[],[f431,f197]) ).

fof(f431,plain,
    ( ~ ssList(sK4)
    | ~ spl16_1
    | spl16_3
    | spl16_6 ),
    inference(subsumption_resolution,[],[f430,f273]) ).

fof(f430,plain,
    ( nil = sK4
    | ~ ssList(sK4)
    | ~ spl16_1
    | spl16_6 ),
    inference(resolution,[],[f429,f223]) ).

fof(f429,plain,
    ( ~ ssItem(sK11(sK4))
    | ~ spl16_1
    | spl16_6 ),
    inference(subsumption_resolution,[],[f428,f263]) ).

fof(f428,plain,
    ( ~ ssItem(sK11(sK4))
    | ~ ssList(nil)
    | spl16_6 ),
    inference(resolution,[],[f426,f212]) ).

fof(f212,plain,
    ! [X0,X1] :
      ( ssList(cons(X1,X0))
      | ~ ssItem(X1)
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f106]) ).

fof(f106,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/sandbox2/benchmark/theBenchmark.p',ax16) ).

fof(f426,plain,
    ( ~ ssList(cons(sK11(sK4),nil))
    | spl16_6 ),
    inference(avatar_component_clause,[],[f424]) ).

fof(f427,plain,
    ( spl16_5
    | ~ spl16_6
    | ~ spl16_1
    | spl16_3 ),
    inference(avatar_split_clause,[],[f418,f271,f262,f424,f420]) ).

fof(f418,plain,
    ( ~ ssList(cons(sK11(sK4),nil))
    | ssItem(sK7(sK11(sK4),nil,sK10(sK4)))
    | ~ spl16_1
    | spl16_3 ),
    inference(subsumption_resolution,[],[f417,f273]) ).

fof(f417,plain,
    ( ~ ssList(cons(sK11(sK4),nil))
    | ssItem(sK7(sK11(sK4),nil,sK10(sK4)))
    | nil = sK4
    | ~ spl16_1 ),
    inference(subsumption_resolution,[],[f416,f197]) ).

fof(f416,plain,
    ( ~ ssList(sK4)
    | ssItem(sK7(sK11(sK4),nil,sK10(sK4)))
    | ~ ssList(cons(sK11(sK4),nil))
    | nil = sK4
    | ~ spl16_1 ),
    inference(equality_resolution,[],[f401]) ).

fof(f401,plain,
    ( ! [X0] :
        ( sK4 != X0
        | ~ ssList(X0)
        | ssItem(sK7(sK11(X0),nil,sK10(X0)))
        | ~ ssList(cons(sK11(X0),nil))
        | nil = X0 )
    | ~ spl16_1 ),
    inference(subsumption_resolution,[],[f400,f223]) ).

fof(f400,plain,
    ( ! [X0] :
        ( ~ ssList(X0)
        | sK4 != X0
        | nil = X0
        | ssItem(sK7(sK11(X0),nil,sK10(X0)))
        | ~ ssList(cons(sK11(X0),nil))
        | ~ ssItem(sK11(X0)) )
    | ~ spl16_1 ),
    inference(subsumption_resolution,[],[f399,f221]) ).

fof(f399,plain,
    ( ! [X0] :
        ( ~ ssList(sK10(X0))
        | ssItem(sK7(sK11(X0),nil,sK10(X0)))
        | ~ ssList(cons(sK11(X0),nil))
        | ~ ssItem(sK11(X0))
        | nil = X0
        | ~ ssList(X0)
        | sK4 != X0 )
    | ~ spl16_1 ),
    inference(superposition,[],[f382,f222]) ).

fof(f382,plain,
    ( ! [X3,X4] :
        ( cons(X3,X4) != sK4
        | ~ ssItem(X3)
        | ~ ssList(X4)
        | ~ ssList(cons(X3,nil))
        | ssItem(sK7(X3,nil,X4)) )
    | ~ spl16_1 ),
    inference(duplicate_literal_removal,[],[f362]) ).

fof(f362,plain,
    ( ! [X3,X4] :
        ( ssItem(sK7(X3,nil,X4))
        | ~ ssItem(X3)
        | cons(X3,X4) != sK4
        | ~ ssList(X4)
        | ~ ssList(cons(X3,nil))
        | ~ ssItem(X3)
        | ~ ssList(X4) )
    | ~ spl16_1 ),
    inference(superposition,[],[f310,f177]) ).

fof(f310,plain,
    ( ! [X4,X5] :
        ( app(cons(X4,nil),X5) != sK4
        | ~ ssList(cons(X4,nil))
        | ssItem(sK7(X4,nil,X5))
        | ~ ssItem(X4)
        | ~ ssList(X5) )
    | ~ spl16_1 ),
    inference(subsumption_resolution,[],[f295,f263]) ).

fof(f295,plain,
    ! [X4,X5] :
      ( ~ ssList(X5)
      | ~ ssItem(X4)
      | ssItem(sK7(X4,nil,X5))
      | app(cons(X4,nil),X5) != sK4
      | ~ ssList(nil)
      | ~ ssList(cons(X4,nil)) ),
    inference(superposition,[],[f248,f229]) ).

fof(f248,plain,
    ! [X10,X8,X9] :
      ( app(app(X9,cons(X8,nil)),X10) != sK4
      | ~ ssList(X10)
      | ~ ssList(X9)
      | ssItem(sK7(X8,X9,X10))
      | ~ ssItem(X8) ),
    inference(definition_unfolding,[],[f186,f194]) ).

fof(f186,plain,
    ! [X10,X8,X9] :
      ( ~ ssList(X9)
      | ssItem(sK7(X8,X9,X10))
      | ~ ssList(X10)
      | sK2 != app(app(X9,cons(X8,nil)),X10)
      | ~ ssItem(X8) ),
    inference(cnf_transformation,[],[f151]) ).

fof(f280,plain,
    spl16_1,
    inference(avatar_split_clause,[],[f206,f262]) ).

fof(f206,plain,
    ssList(nil),
    inference(cnf_transformation,[],[f17]) ).

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

fof(f279,plain,
    ~ spl16_3,
    inference(avatar_split_clause,[],[f245,f271]) ).

fof(f245,plain,
    nil != sK4,
    inference(definition_unfolding,[],[f193,f194]) ).

fof(f193,plain,
    nil != sK2,
    inference(cnf_transformation,[],[f151]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem    : SWC234+1 : TPTP v8.1.0. Released v2.4.0.
% 0.11/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.34  % Computer : n010.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit   : 300
% 0.13/0.34  % WCLimit    : 300
% 0.13/0.34  % DateTime   : Tue Aug 30 18:33:59 EDT 2022
% 0.13/0.34  % CPUTime    : 
% 0.20/0.55  % (27785)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)
% 0.20/0.55  % (27786)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)
% 0.20/0.57  % (27802)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)
% 0.20/0.57  % (27793)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)
% 0.20/0.57  % (27801)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)
% 0.20/0.57  % (27794)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)
% 0.20/0.58  % (27793)Instruction limit reached!
% 0.20/0.58  % (27793)------------------------------
% 0.20/0.58  % (27793)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.58  % (27793)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.58  % (27793)Termination reason: Unknown
% 0.20/0.58  % (27793)Termination phase: Property scanning
% 0.20/0.58  
% 0.20/0.58  % (27793)Memory used [KB]: 1791
% 0.20/0.58  % (27793)Time elapsed: 0.009 s
% 0.20/0.58  % (27793)Instructions burned: 7 (million)
% 0.20/0.58  % (27793)------------------------------
% 0.20/0.58  % (27793)------------------------------
% 0.20/0.59  % (27778)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 0.20/0.60  % (27780)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)
% 0.20/0.60  % (27780)Instruction limit reached!
% 0.20/0.60  % (27780)------------------------------
% 0.20/0.60  % (27780)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.60  % (27780)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.60  % (27780)Termination reason: Unknown
% 0.20/0.60  % (27780)Termination phase: Preprocessing 3
% 0.20/0.60  
% 0.20/0.60  % (27780)Memory used [KB]: 1535
% 0.20/0.60  % (27780)Time elapsed: 0.004 s
% 0.20/0.60  % (27780)Instructions burned: 3 (million)
% 0.20/0.60  % (27780)------------------------------
% 0.20/0.60  % (27780)------------------------------
% 0.20/0.61  % (27787)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)
% 0.20/0.61  % (27783)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)
% 0.20/0.61  % (27782)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)
% 0.20/0.61  % (27804)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)
% 0.20/0.61  % (27795)fmb+10_1:1_nm=2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.20/0.61  % (27784)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)
% 0.20/0.62  % (27795)Instruction limit reached!
% 0.20/0.62  % (27795)------------------------------
% 0.20/0.62  % (27795)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.62  % (27795)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.62  % (27795)Termination reason: Unknown
% 0.20/0.62  % (27795)Termination phase: Preprocessing 3
% 0.20/0.62  
% 0.20/0.62  % (27795)Memory used [KB]: 1663
% 0.20/0.62  % (27795)Time elapsed: 0.004 s
% 0.20/0.62  % (27795)Instructions burned: 4 (million)
% 0.20/0.62  % (27795)------------------------------
% 0.20/0.62  % (27795)------------------------------
% 0.20/0.62  % (27799)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)
% 0.20/0.62  % (27798)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)
% 0.20/0.62  % (27779)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)
% 2.08/0.62  % (27788)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)
% 2.08/0.62  % (27800)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)
% 2.08/0.63  % (27803)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)
% 2.08/0.63  % (27807)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)
% 2.08/0.63  % (27806)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)
% 2.08/0.63  % (27796)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)
% 2.08/0.63  % (27796)Instruction limit reached!
% 2.08/0.63  % (27796)------------------------------
% 2.08/0.63  % (27796)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.08/0.63  % (27796)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.08/0.63  % (27796)Termination reason: Unknown
% 2.08/0.63  % (27796)Termination phase: Preprocessing 3
% 2.08/0.63  
% 2.08/0.63  % (27796)Memory used [KB]: 1535
% 2.08/0.63  % (27796)Time elapsed: 0.004 s
% 2.08/0.63  % (27796)Instructions burned: 3 (million)
% 2.08/0.63  % (27796)------------------------------
% 2.08/0.63  % (27796)------------------------------
% 2.08/0.63  % (27792)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)
% 2.08/0.63  % (27791)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)
% 2.08/0.63  % (27792)Instruction limit reached!
% 2.08/0.63  % (27792)------------------------------
% 2.08/0.63  % (27792)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.08/0.63  % (27790)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)
% 2.08/0.63  % (27792)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.08/0.63  % (27792)Termination reason: Unknown
% 2.08/0.63  % (27792)Termination phase: Preprocessing 3
% 2.08/0.63  
% 2.08/0.63  % (27792)Memory used [KB]: 1663
% 2.08/0.63  % (27792)Time elapsed: 0.005 s
% 2.08/0.63  % (27792)Instructions burned: 4 (million)
% 2.08/0.63  % (27792)------------------------------
% 2.08/0.63  % (27792)------------------------------
% 2.08/0.63  % (27797)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)
% 2.08/0.64  % (27785)Instruction limit reached!
% 2.08/0.64  % (27785)------------------------------
% 2.08/0.64  % (27785)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.08/0.64  % (27785)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.08/0.64  % (27785)Termination reason: Unknown
% 2.08/0.64  % (27785)Termination phase: Saturation
% 2.08/0.64  
% 2.08/0.64  % (27785)Memory used [KB]: 6524
% 2.08/0.64  % (27785)Time elapsed: 0.196 s
% 2.08/0.64  % (27785)Instructions burned: 39 (million)
% 2.08/0.64  % (27785)------------------------------
% 2.08/0.64  % (27785)------------------------------
% 2.08/0.64  % (27805)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)
% 2.08/0.64  % (27781)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)
% 2.08/0.64  % (27782)Instruction limit reached!
% 2.08/0.64  % (27782)------------------------------
% 2.08/0.64  % (27782)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.08/0.64  % (27782)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.08/0.64  % (27782)Termination reason: Unknown
% 2.08/0.64  % (27782)Termination phase: Saturation
% 2.08/0.64  
% 2.08/0.64  % (27782)Memory used [KB]: 6268
% 2.08/0.64  % (27782)Time elapsed: 0.212 s
% 2.08/0.64  % (27782)Instructions burned: 13 (million)
% 2.08/0.64  % (27782)------------------------------
% 2.08/0.64  % (27782)------------------------------
% 2.08/0.65  % (27786)Instruction limit reached!
% 2.08/0.65  % (27786)------------------------------
% 2.08/0.65  % (27786)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.27/0.65  % (27789)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)
% 2.27/0.65  % (27779)Instruction limit reached!
% 2.27/0.65  % (27779)------------------------------
% 2.27/0.65  % (27779)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.27/0.65  % (27779)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.27/0.65  % (27779)Termination reason: Unknown
% 2.27/0.65  % (27779)Termination phase: Saturation
% 2.27/0.65  
% 2.27/0.65  % (27779)Memory used [KB]: 6396
% 2.27/0.65  % (27779)Time elapsed: 0.010 s
% 2.27/0.65  % (27779)Instructions burned: 13 (million)
% 2.27/0.65  % (27779)------------------------------
% 2.27/0.65  % (27779)------------------------------
% 2.27/0.65  % (27806)Instruction limit reached!
% 2.27/0.65  % (27806)------------------------------
% 2.27/0.65  % (27806)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.27/0.65  % (27806)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.27/0.65  % (27806)Termination reason: Unknown
% 2.27/0.65  % (27806)Termination phase: Property scanning
% 2.27/0.65  
% 2.27/0.65  % (27806)Memory used [KB]: 1791
% 2.27/0.65  % (27806)Time elapsed: 0.007 s
% 2.27/0.65  % (27806)Instructions burned: 8 (million)
% 2.27/0.65  % (27806)------------------------------
% 2.27/0.65  % (27806)------------------------------
% 2.27/0.65  % (27789)Instruction limit reached!
% 2.27/0.65  % (27789)------------------------------
% 2.27/0.65  % (27789)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.27/0.65  % (27789)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.27/0.65  % (27789)Termination reason: Unknown
% 2.27/0.65  % (27789)Termination phase: Saturation
% 2.27/0.65  
% 2.27/0.65  % (27789)Memory used [KB]: 6140
% 2.27/0.65  % (27789)Time elapsed: 0.229 s
% 2.27/0.65  % (27789)Instructions burned: 7 (million)
% 2.27/0.65  % (27789)------------------------------
% 2.27/0.65  % (27789)------------------------------
% 2.27/0.65  % (27788)Refutation not found, incomplete strategy% (27788)------------------------------
% 2.27/0.65  % (27788)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.27/0.65  % (27788)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.27/0.65  % (27788)Termination reason: Refutation not found, incomplete strategy
% 2.27/0.65  
% 2.27/0.65  % (27788)Memory used [KB]: 6268
% 2.27/0.65  % (27788)Time elapsed: 0.231 s
% 2.27/0.65  % (27788)Instructions burned: 10 (million)
% 2.27/0.65  % (27788)------------------------------
% 2.27/0.65  % (27788)------------------------------
% 2.27/0.66  % (27790)Instruction limit reached!
% 2.27/0.66  % (27790)------------------------------
% 2.27/0.66  % (27790)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.27/0.66  % (27790)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.27/0.66  % (27790)Termination reason: Unknown
% 2.27/0.66  % (27790)Termination phase: Saturation
% 2.27/0.66  
% 2.27/0.66  % (27790)Memory used [KB]: 2046
% 2.27/0.66  % (27790)Time elapsed: 0.012 s
% 2.27/0.66  % (27790)Instructions burned: 16 (million)
% 2.27/0.66  % (27790)------------------------------
% 2.27/0.66  % (27790)------------------------------
% 2.27/0.66  % (27794)Instruction limit reached!
% 2.27/0.66  % (27794)------------------------------
% 2.27/0.66  % (27794)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.27/0.66  % (27786)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.27/0.66  % (27786)Termination reason: Unknown
% 2.27/0.66  % (27786)Termination phase: Saturation
% 2.27/0.66  
% 2.27/0.66  % (27786)Memory used [KB]: 6908
% 2.27/0.66  % (27786)Time elapsed: 0.205 s
% 2.27/0.66  % (27786)Instructions burned: 49 (million)
% 2.27/0.66  % (27786)------------------------------
% 2.27/0.66  % (27786)------------------------------
% 2.27/0.66  % (27783)Instruction limit reached!
% 2.27/0.66  % (27783)------------------------------
% 2.27/0.66  % (27783)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.27/0.66  % (27783)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.27/0.66  % (27783)Termination reason: Unknown
% 2.27/0.66  % (27783)Termination phase: Saturation
% 2.27/0.66  
% 2.27/0.66  % (27783)Memory used [KB]: 1791
% 2.27/0.66  % (27783)Time elapsed: 0.216 s
% 2.27/0.66  % (27783)Instructions burned: 15 (million)
% 2.27/0.66  % (27783)------------------------------
% 2.27/0.66  % (27783)------------------------------
% 2.27/0.66  % (27794)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.27/0.66  % (27794)Termination reason: Unknown
% 2.27/0.66  % (27794)Termination phase: Saturation
% 2.27/0.66  
% 2.27/0.66  % (27794)Memory used [KB]: 6908
% 2.27/0.66  % (27794)Time elapsed: 0.220 s
% 2.27/0.66  % (27794)Instructions burned: 50 (million)
% 2.27/0.66  % (27794)------------------------------
% 2.27/0.66  % (27794)------------------------------
% 2.41/0.66  % (27801)Instruction limit reached!
% 2.41/0.66  % (27801)------------------------------
% 2.41/0.66  % (27801)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.41/0.66  % (27802)Instruction limit reached!
% 2.41/0.66  % (27802)------------------------------
% 2.41/0.66  % (27802)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.41/0.66  % (27802)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.41/0.66  % (27802)Termination reason: Unknown
% 2.41/0.66  % (27802)Termination phase: Saturation
% 2.41/0.66  
% 2.41/0.66  % (27802)Memory used [KB]: 6908
% 2.41/0.66  % (27802)Time elapsed: 0.239 s
% 2.41/0.66  % (27802)Instructions burned: 51 (million)
% 2.41/0.66  % (27802)------------------------------
% 2.41/0.66  % (27802)------------------------------
% 2.41/0.66  % (27784)First to succeed.
% 2.41/0.67  % (27801)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.41/0.67  % (27801)Termination reason: Unknown
% 2.41/0.67  % (27801)Termination phase: Saturation
% 2.41/0.67  
% 2.41/0.67  % (27801)Memory used [KB]: 2302
% 2.41/0.67  % (27801)Time elapsed: 0.223 s
% 2.41/0.67  % (27801)Instructions burned: 45 (million)
% 2.41/0.67  % (27801)------------------------------
% 2.41/0.67  % (27801)------------------------------
% 2.41/0.69  % (27784)Refutation found. Thanks to Tanya!
% 2.41/0.69  % SZS status Theorem for theBenchmark
% 2.41/0.69  % SZS output start Proof for theBenchmark
% See solution above
% 2.41/0.69  % (27784)------------------------------
% 2.41/0.69  % (27784)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.41/0.69  % (27784)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.41/0.69  % (27784)Termination reason: Refutation
% 2.41/0.69  
% 2.41/0.69  % (27784)Memory used [KB]: 6268
% 2.41/0.69  % (27784)Time elapsed: 0.249 s
% 2.41/0.69  % (27784)Instructions burned: 15 (million)
% 2.41/0.69  % (27784)------------------------------
% 2.41/0.69  % (27784)------------------------------
% 2.41/0.69  % (27777)Success in time 0.326 s
%------------------------------------------------------------------------------