TSTP Solution File: SWC071+1 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : SWC071+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 : n006.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 18:38:35 EDT 2022

% Result   : Theorem 2.78s 0.77s
% Output   : Refutation 2.78s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :   40
% Syntax   : Number of formulae    :  151 (   8 unt;   0 def)
%            Number of atoms       :  840 ( 240 equ)
%            Maximal formula atoms :   50 (   5 avg)
%            Number of connectives : 1088 ( 399   ~; 365   |; 251   &)
%                                         (  25 <=>;  48  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   27 (   6 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :   27 (  25 usr;  20 prp; 0-2 aty)
%            Number of functors    :   12 (  12 usr;   8 con; 0-2 aty)
%            Number of variables   :  246 ( 155   !;  91   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f2734,plain,
    $false,
    inference(avatar_sat_refutation,[],[f622,f632,f637,f642,f643,f648,f662,f669,f674,f675,f676,f700,f770,f798,f953,f1047,f1229,f1599,f1708,f2334,f2620,f2636,f2665,f2706,f2728]) ).

fof(f2728,plain,
    ( ~ spl54_17
    | spl54_209
    | ~ spl54_29
    | ~ spl54_9
    | ~ spl54_2
    | ~ spl54_15 ),
    inference(avatar_split_clause,[],[f2671,f671,f605,f639,f767,f2552,f685]) ).

fof(f685,plain,
    ( spl54_17
  <=> ssList(sK47) ),
    introduced(avatar_definition,[new_symbols(naming,[spl54_17])]) ).

fof(f2552,plain,
    ( spl54_209
  <=> segmentP(sK47,sK44) ),
    introduced(avatar_definition,[new_symbols(naming,[spl54_209])]) ).

fof(f767,plain,
    ( spl54_29
  <=> ssList(sK44) ),
    introduced(avatar_definition,[new_symbols(naming,[spl54_29])]) ).

fof(f639,plain,
    ( spl54_9
  <=> ssList(sK50) ),
    introduced(avatar_definition,[new_symbols(naming,[spl54_9])]) ).

fof(f605,plain,
    ( spl54_2
  <=> ssList(sK49) ),
    introduced(avatar_definition,[new_symbols(naming,[spl54_2])]) ).

fof(f671,plain,
    ( spl54_15
  <=> app(app(sK49,sK44),sK50) = sK47 ),
    introduced(avatar_definition,[new_symbols(naming,[spl54_15])]) ).

fof(f2671,plain,
    ( ~ ssList(sK49)
    | ~ ssList(sK50)
    | ~ ssList(sK44)
    | segmentP(sK47,sK44)
    | ~ ssList(sK47)
    | ~ spl54_15 ),
    inference(superposition,[],[f584,f673]) ).

fof(f673,plain,
    ( app(app(sK49,sK44),sK50) = sK47
    | ~ spl54_15 ),
    inference(avatar_component_clause,[],[f671]) ).

fof(f584,plain,
    ! [X2,X3,X1] :
      ( segmentP(app(app(X2,X1),X3),X1)
      | ~ ssList(X1)
      | ~ ssList(app(app(X2,X1),X3))
      | ~ ssList(X2)
      | ~ ssList(X3) ),
    inference(equality_resolution,[],[f483]) ).

fof(f483,plain,
    ! [X2,X3,X0,X1] :
      ( ~ ssList(X0)
      | ~ ssList(X1)
      | segmentP(X0,X1)
      | ~ ssList(X2)
      | app(app(X2,X1),X3) != X0
      | ~ ssList(X3) ),
    inference(cnf_transformation,[],[f312]) ).

fof(f312,plain,
    ! [X0] :
      ( ~ ssList(X0)
      | ! [X1] :
          ( ~ ssList(X1)
          | ( ( segmentP(X0,X1)
              | ! [X2] :
                  ( ~ ssList(X2)
                  | ! [X3] :
                      ( app(app(X2,X1),X3) != X0
                      | ~ ssList(X3) ) ) )
            & ( ( ssList(sK40(X0,X1))
                & app(app(sK40(X0,X1),X1),sK41(X0,X1)) = X0
                & ssList(sK41(X0,X1)) )
              | ~ segmentP(X0,X1) ) ) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK40,sK41])],[f309,f311,f310]) ).

fof(f310,plain,
    ! [X0,X1] :
      ( ? [X4] :
          ( ssList(X4)
          & ? [X5] :
              ( app(app(X4,X1),X5) = X0
              & ssList(X5) ) )
     => ( ssList(sK40(X0,X1))
        & ? [X5] :
            ( app(app(sK40(X0,X1),X1),X5) = X0
            & ssList(X5) ) ) ),
    introduced(choice_axiom,[]) ).

fof(f311,plain,
    ! [X0,X1] :
      ( ? [X5] :
          ( app(app(sK40(X0,X1),X1),X5) = X0
          & ssList(X5) )
     => ( app(app(sK40(X0,X1),X1),sK41(X0,X1)) = X0
        & ssList(sK41(X0,X1)) ) ),
    introduced(choice_axiom,[]) ).

fof(f309,plain,
    ! [X0] :
      ( ~ ssList(X0)
      | ! [X1] :
          ( ~ ssList(X1)
          | ( ( segmentP(X0,X1)
              | ! [X2] :
                  ( ~ ssList(X2)
                  | ! [X3] :
                      ( app(app(X2,X1),X3) != X0
                      | ~ ssList(X3) ) ) )
            & ( ? [X4] :
                  ( ssList(X4)
                  & ? [X5] :
                      ( app(app(X4,X1),X5) = X0
                      & ssList(X5) ) )
              | ~ segmentP(X0,X1) ) ) ) ),
    inference(rectify,[],[f308]) ).

fof(f308,plain,
    ! [X0] :
      ( ~ ssList(X0)
      | ! [X1] :
          ( ~ ssList(X1)
          | ( ( segmentP(X0,X1)
              | ! [X2] :
                  ( ~ ssList(X2)
                  | ! [X3] :
                      ( app(app(X2,X1),X3) != X0
                      | ~ ssList(X3) ) ) )
            & ( ? [X2] :
                  ( ssList(X2)
                  & ? [X3] :
                      ( app(app(X2,X1),X3) = X0
                      & ssList(X3) ) )
              | ~ segmentP(X0,X1) ) ) ) ),
    inference(nnf_transformation,[],[f162]) ).

fof(f162,plain,
    ! [X0] :
      ( ~ ssList(X0)
      | ! [X1] :
          ( ~ ssList(X1)
          | ( segmentP(X0,X1)
          <=> ? [X2] :
                ( ssList(X2)
                & ? [X3] :
                    ( app(app(X2,X1),X3) = X0
                    & ssList(X3) ) ) ) ) ),
    inference(ennf_transformation,[],[f7]) ).

fof(f7,axiom,
    ! [X0] :
      ( ssList(X0)
     => ! [X1] :
          ( ssList(X1)
         => ( segmentP(X0,X1)
          <=> ? [X2] :
                ( ssList(X2)
                & ? [X3] :
                    ( app(app(X2,X1),X3) = X0
                    & ssList(X3) ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax7) ).

fof(f2706,plain,
    ( ~ spl54_1
    | spl54_41
    | ~ spl54_9
    | ~ spl54_30
    | ~ spl54_15 ),
    inference(avatar_split_clause,[],[f2683,f671,f779,f639,f930,f601]) ).

fof(f601,plain,
    ( spl54_1
  <=> nil = sK47 ),
    introduced(avatar_definition,[new_symbols(naming,[spl54_1])]) ).

fof(f930,plain,
    ( spl54_41
  <=> nil = app(sK49,sK44) ),
    introduced(avatar_definition,[new_symbols(naming,[spl54_41])]) ).

fof(f779,plain,
    ( spl54_30
  <=> ssList(app(sK49,sK44)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl54_30])]) ).

fof(f2683,plain,
    ( ~ ssList(app(sK49,sK44))
    | ~ ssList(sK50)
    | nil = app(sK49,sK44)
    | nil != sK47
    | ~ spl54_15 ),
    inference(superposition,[],[f479,f673]) ).

fof(f479,plain,
    ! [X0,X1] :
      ( nil != app(X0,X1)
      | ~ ssList(X0)
      | nil = X0
      | ~ ssList(X1) ),
    inference(cnf_transformation,[],[f307]) ).

fof(f307,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( ( ( nil = X0
                & nil = X1 )
              | nil != app(X0,X1) )
            & ( nil = app(X0,X1)
              | nil != X0
              | nil != X1 ) )
          | ~ ssList(X1) )
      | ~ ssList(X0) ),
    inference(flattening,[],[f306]) ).

fof(f306,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( ( ( nil = X0
                & nil = X1 )
              | nil != app(X0,X1) )
            & ( nil = app(X0,X1)
              | nil != X0
              | nil != X1 ) )
          | ~ ssList(X1) )
      | ~ ssList(X0) ),
    inference(nnf_transformation,[],[f165]) ).

fof(f165,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( ( nil = X0
              & nil = X1 )
          <=> nil = app(X0,X1) )
          | ~ ssList(X1) )
      | ~ ssList(X0) ),
    inference(ennf_transformation,[],[f83]) ).

fof(f83,axiom,
    ! [X0] :
      ( ssList(X0)
     => ! [X1] :
          ( ssList(X1)
         => ( ( nil = X0
              & nil = X1 )
          <=> nil = app(X0,X1) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax83) ).

fof(f2665,plain,
    ( ~ spl54_29
    | spl54_219 ),
    inference(avatar_split_clause,[],[f2664,f2617,f767]) ).

fof(f2617,plain,
    ( spl54_219
  <=> segmentP(sK44,sK44) ),
    introduced(avatar_definition,[new_symbols(naming,[spl54_219])]) ).

fof(f2664,plain,
    ( ~ ssList(sK44)
    | spl54_219 ),
    inference(resolution,[],[f2619,f434]) ).

fof(f434,plain,
    ! [X0] :
      ( segmentP(X0,X0)
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f116]) ).

fof(f116,plain,
    ! [X0] :
      ( ~ ssList(X0)
      | segmentP(X0,X0) ),
    inference(ennf_transformation,[],[f55]) ).

fof(f55,axiom,
    ! [X0] :
      ( ssList(X0)
     => segmentP(X0,X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax55) ).

fof(f2619,plain,
    ( ~ segmentP(sK44,sK44)
    | spl54_219 ),
    inference(avatar_component_clause,[],[f2617]) ).

fof(f2636,plain,
    ( spl54_5
    | ~ spl54_29
    | ~ spl54_4
    | spl54_218 ),
    inference(avatar_split_clause,[],[f2626,f2613,f614,f767,f619]) ).

fof(f619,plain,
    ( spl54_5
  <=> nil = sK44 ),
    introduced(avatar_definition,[new_symbols(naming,[spl54_5])]) ).

fof(f614,plain,
    ( spl54_4
  <=> ssList(nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl54_4])]) ).

fof(f2613,plain,
    ( spl54_218
  <=> neq(sK44,nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl54_218])]) ).

fof(f2626,plain,
    ( ~ ssList(nil)
    | ~ ssList(sK44)
    | nil = sK44
    | spl54_218 ),
    inference(resolution,[],[f2615,f540]) ).

fof(f540,plain,
    ! [X0,X1] :
      ( neq(X0,X1)
      | ~ ssList(X1)
      | X0 = X1
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f330]) ).

fof(f330,plain,
    ! [X0] :
      ( ~ ssList(X0)
      | ! [X1] :
          ( ( ( X0 != X1
              | ~ neq(X0,X1) )
            & ( neq(X0,X1)
              | X0 = X1 ) )
          | ~ ssList(X1) ) ),
    inference(nnf_transformation,[],[f154]) ).

fof(f154,plain,
    ! [X0] :
      ( ~ ssList(X0)
      | ! [X1] :
          ( ( X0 != X1
          <=> neq(X0,X1) )
          | ~ ssList(X1) ) ),
    inference(ennf_transformation,[],[f15]) ).

fof(f15,axiom,
    ! [X0] :
      ( ssList(X0)
     => ! [X1] :
          ( ssList(X1)
         => ( X0 != X1
          <=> neq(X0,X1) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax15) ).

fof(f2615,plain,
    ( ~ neq(sK44,nil)
    | spl54_218 ),
    inference(avatar_component_clause,[],[f2613]) ).

fof(f2620,plain,
    ( ~ spl54_218
    | ~ spl54_29
    | ~ spl54_219
    | ~ spl54_209 ),
    inference(avatar_split_clause,[],[f2604,f2552,f2617,f767,f2613]) ).

fof(f2604,plain,
    ( ~ segmentP(sK44,sK44)
    | ~ ssList(sK44)
    | ~ neq(sK44,nil)
    | ~ spl54_209 ),
    inference(resolution,[],[f2554,f553]) ).

fof(f553,plain,
    ! [X4] :
      ( ~ segmentP(sK47,X4)
      | ~ neq(X4,nil)
      | ~ ssList(X4)
      | ~ segmentP(sK44,X4) ),
    inference(definition_unfolding,[],[f530,f514]) ).

fof(f514,plain,
    sK45 = sK47,
    inference(cnf_transformation,[],[f327]) ).

fof(f327,plain,
    ( ! [X4] :
        ( ~ ssList(X4)
        | ~ segmentP(sK44,X4)
        | ~ segmentP(sK45,X4)
        | ~ neq(X4,nil) )
    & ssList(sK47)
    & ( ( nil = sK46
        & nil = sK47 )
      | ( ! [X8] :
            ( ~ lt(X8,sK48)
            | ~ ssItem(X8)
            | ~ memberP(sK50,X8) )
        & sK46 = cons(sK48,nil)
        & ! [X9] :
            ( ~ lt(sK48,X9)
            | ~ memberP(sK49,X9)
            | ~ ssItem(X9) )
        & app(app(sK49,sK46),sK50) = sK47
        & ssList(sK50)
        & ssList(sK49)
        & ssItem(sK48) ) )
    & sK45 = sK47
    & ( nil != sK45
      | nil != sK44 )
    & sK46 = sK44
    & ssList(sK46)
    & ssList(sK45)
    & ssList(sK44) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK44,sK45,sK46,sK47,sK48,sK49,sK50])],[f319,f326,f325,f324,f323,f322,f321,f320]) ).

fof(f320,plain,
    ( ? [X0] :
        ( ? [X1] :
            ( ? [X2] :
                ( ? [X3] :
                    ( ! [X4] :
                        ( ~ ssList(X4)
                        | ~ segmentP(X0,X4)
                        | ~ segmentP(X1,X4)
                        | ~ neq(X4,nil) )
                    & ssList(X3)
                    & ( ( nil = X2
                        & nil = X3 )
                      | ? [X5] :
                          ( ? [X6] :
                              ( ? [X7] :
                                  ( ! [X8] :
                                      ( ~ lt(X8,X5)
                                      | ~ ssItem(X8)
                                      | ~ memberP(X7,X8) )
                                  & cons(X5,nil) = X2
                                  & ! [X9] :
                                      ( ~ lt(X5,X9)
                                      | ~ memberP(X6,X9)
                                      | ~ ssItem(X9) )
                                  & app(app(X6,X2),X7) = X3
                                  & ssList(X7) )
                              & ssList(X6) )
                          & ssItem(X5) ) )
                    & X1 = X3
                    & ( nil != X1
                      | nil != X0 )
                    & X0 = X2 )
                & ssList(X2) )
            & ssList(X1) )
        & ssList(X0) )
   => ( ? [X1] :
          ( ? [X2] :
              ( ? [X3] :
                  ( ! [X4] :
                      ( ~ ssList(X4)
                      | ~ segmentP(sK44,X4)
                      | ~ segmentP(X1,X4)
                      | ~ neq(X4,nil) )
                  & ssList(X3)
                  & ( ( nil = X2
                      & nil = X3 )
                    | ? [X5] :
                        ( ? [X6] :
                            ( ? [X7] :
                                ( ! [X8] :
                                    ( ~ lt(X8,X5)
                                    | ~ ssItem(X8)
                                    | ~ memberP(X7,X8) )
                                & cons(X5,nil) = X2
                                & ! [X9] :
                                    ( ~ lt(X5,X9)
                                    | ~ memberP(X6,X9)
                                    | ~ ssItem(X9) )
                                & app(app(X6,X2),X7) = X3
                                & ssList(X7) )
                            & ssList(X6) )
                        & ssItem(X5) ) )
                  & X1 = X3
                  & ( nil != X1
                    | nil != sK44 )
                  & sK44 = X2 )
              & ssList(X2) )
          & ssList(X1) )
      & ssList(sK44) ) ),
    introduced(choice_axiom,[]) ).

fof(f321,plain,
    ( ? [X1] :
        ( ? [X2] :
            ( ? [X3] :
                ( ! [X4] :
                    ( ~ ssList(X4)
                    | ~ segmentP(sK44,X4)
                    | ~ segmentP(X1,X4)
                    | ~ neq(X4,nil) )
                & ssList(X3)
                & ( ( nil = X2
                    & nil = X3 )
                  | ? [X5] :
                      ( ? [X6] :
                          ( ? [X7] :
                              ( ! [X8] :
                                  ( ~ lt(X8,X5)
                                  | ~ ssItem(X8)
                                  | ~ memberP(X7,X8) )
                              & cons(X5,nil) = X2
                              & ! [X9] :
                                  ( ~ lt(X5,X9)
                                  | ~ memberP(X6,X9)
                                  | ~ ssItem(X9) )
                              & app(app(X6,X2),X7) = X3
                              & ssList(X7) )
                          & ssList(X6) )
                      & ssItem(X5) ) )
                & X1 = X3
                & ( nil != X1
                  | nil != sK44 )
                & sK44 = X2 )
            & ssList(X2) )
        & ssList(X1) )
   => ( ? [X2] :
          ( ? [X3] :
              ( ! [X4] :
                  ( ~ ssList(X4)
                  | ~ segmentP(sK44,X4)
                  | ~ segmentP(sK45,X4)
                  | ~ neq(X4,nil) )
              & ssList(X3)
              & ( ( nil = X2
                  & nil = X3 )
                | ? [X5] :
                    ( ? [X6] :
                        ( ? [X7] :
                            ( ! [X8] :
                                ( ~ lt(X8,X5)
                                | ~ ssItem(X8)
                                | ~ memberP(X7,X8) )
                            & cons(X5,nil) = X2
                            & ! [X9] :
                                ( ~ lt(X5,X9)
                                | ~ memberP(X6,X9)
                                | ~ ssItem(X9) )
                            & app(app(X6,X2),X7) = X3
                            & ssList(X7) )
                        & ssList(X6) )
                    & ssItem(X5) ) )
              & sK45 = X3
              & ( nil != sK45
                | nil != sK44 )
              & sK44 = X2 )
          & ssList(X2) )
      & ssList(sK45) ) ),
    introduced(choice_axiom,[]) ).

fof(f322,plain,
    ( ? [X2] :
        ( ? [X3] :
            ( ! [X4] :
                ( ~ ssList(X4)
                | ~ segmentP(sK44,X4)
                | ~ segmentP(sK45,X4)
                | ~ neq(X4,nil) )
            & ssList(X3)
            & ( ( nil = X2
                & nil = X3 )
              | ? [X5] :
                  ( ? [X6] :
                      ( ? [X7] :
                          ( ! [X8] :
                              ( ~ lt(X8,X5)
                              | ~ ssItem(X8)
                              | ~ memberP(X7,X8) )
                          & cons(X5,nil) = X2
                          & ! [X9] :
                              ( ~ lt(X5,X9)
                              | ~ memberP(X6,X9)
                              | ~ ssItem(X9) )
                          & app(app(X6,X2),X7) = X3
                          & ssList(X7) )
                      & ssList(X6) )
                  & ssItem(X5) ) )
            & sK45 = X3
            & ( nil != sK45
              | nil != sK44 )
            & sK44 = X2 )
        & ssList(X2) )
   => ( ? [X3] :
          ( ! [X4] :
              ( ~ ssList(X4)
              | ~ segmentP(sK44,X4)
              | ~ segmentP(sK45,X4)
              | ~ neq(X4,nil) )
          & ssList(X3)
          & ( ( nil = sK46
              & nil = X3 )
            | ? [X5] :
                ( ? [X6] :
                    ( ? [X7] :
                        ( ! [X8] :
                            ( ~ lt(X8,X5)
                            | ~ ssItem(X8)
                            | ~ memberP(X7,X8) )
                        & cons(X5,nil) = sK46
                        & ! [X9] :
                            ( ~ lt(X5,X9)
                            | ~ memberP(X6,X9)
                            | ~ ssItem(X9) )
                        & app(app(X6,sK46),X7) = X3
                        & ssList(X7) )
                    & ssList(X6) )
                & ssItem(X5) ) )
          & sK45 = X3
          & ( nil != sK45
            | nil != sK44 )
          & sK46 = sK44 )
      & ssList(sK46) ) ),
    introduced(choice_axiom,[]) ).

fof(f323,plain,
    ( ? [X3] :
        ( ! [X4] :
            ( ~ ssList(X4)
            | ~ segmentP(sK44,X4)
            | ~ segmentP(sK45,X4)
            | ~ neq(X4,nil) )
        & ssList(X3)
        & ( ( nil = sK46
            & nil = X3 )
          | ? [X5] :
              ( ? [X6] :
                  ( ? [X7] :
                      ( ! [X8] :
                          ( ~ lt(X8,X5)
                          | ~ ssItem(X8)
                          | ~ memberP(X7,X8) )
                      & cons(X5,nil) = sK46
                      & ! [X9] :
                          ( ~ lt(X5,X9)
                          | ~ memberP(X6,X9)
                          | ~ ssItem(X9) )
                      & app(app(X6,sK46),X7) = X3
                      & ssList(X7) )
                  & ssList(X6) )
              & ssItem(X5) ) )
        & sK45 = X3
        & ( nil != sK45
          | nil != sK44 )
        & sK46 = sK44 )
   => ( ! [X4] :
          ( ~ ssList(X4)
          | ~ segmentP(sK44,X4)
          | ~ segmentP(sK45,X4)
          | ~ neq(X4,nil) )
      & ssList(sK47)
      & ( ( nil = sK46
          & nil = sK47 )
        | ? [X5] :
            ( ? [X6] :
                ( ? [X7] :
                    ( ! [X8] :
                        ( ~ lt(X8,X5)
                        | ~ ssItem(X8)
                        | ~ memberP(X7,X8) )
                    & cons(X5,nil) = sK46
                    & ! [X9] :
                        ( ~ lt(X5,X9)
                        | ~ memberP(X6,X9)
                        | ~ ssItem(X9) )
                    & app(app(X6,sK46),X7) = sK47
                    & ssList(X7) )
                & ssList(X6) )
            & ssItem(X5) ) )
      & sK45 = sK47
      & ( nil != sK45
        | nil != sK44 )
      & sK46 = sK44 ) ),
    introduced(choice_axiom,[]) ).

fof(f324,plain,
    ( ? [X5] :
        ( ? [X6] :
            ( ? [X7] :
                ( ! [X8] :
                    ( ~ lt(X8,X5)
                    | ~ ssItem(X8)
                    | ~ memberP(X7,X8) )
                & cons(X5,nil) = sK46
                & ! [X9] :
                    ( ~ lt(X5,X9)
                    | ~ memberP(X6,X9)
                    | ~ ssItem(X9) )
                & app(app(X6,sK46),X7) = sK47
                & ssList(X7) )
            & ssList(X6) )
        & ssItem(X5) )
   => ( ? [X6] :
          ( ? [X7] :
              ( ! [X8] :
                  ( ~ lt(X8,sK48)
                  | ~ ssItem(X8)
                  | ~ memberP(X7,X8) )
              & sK46 = cons(sK48,nil)
              & ! [X9] :
                  ( ~ lt(sK48,X9)
                  | ~ memberP(X6,X9)
                  | ~ ssItem(X9) )
              & app(app(X6,sK46),X7) = sK47
              & ssList(X7) )
          & ssList(X6) )
      & ssItem(sK48) ) ),
    introduced(choice_axiom,[]) ).

fof(f325,plain,
    ( ? [X6] :
        ( ? [X7] :
            ( ! [X8] :
                ( ~ lt(X8,sK48)
                | ~ ssItem(X8)
                | ~ memberP(X7,X8) )
            & sK46 = cons(sK48,nil)
            & ! [X9] :
                ( ~ lt(sK48,X9)
                | ~ memberP(X6,X9)
                | ~ ssItem(X9) )
            & app(app(X6,sK46),X7) = sK47
            & ssList(X7) )
        & ssList(X6) )
   => ( ? [X7] :
          ( ! [X8] :
              ( ~ lt(X8,sK48)
              | ~ ssItem(X8)
              | ~ memberP(X7,X8) )
          & sK46 = cons(sK48,nil)
          & ! [X9] :
              ( ~ lt(sK48,X9)
              | ~ memberP(sK49,X9)
              | ~ ssItem(X9) )
          & app(app(sK49,sK46),X7) = sK47
          & ssList(X7) )
      & ssList(sK49) ) ),
    introduced(choice_axiom,[]) ).

fof(f326,plain,
    ( ? [X7] :
        ( ! [X8] :
            ( ~ lt(X8,sK48)
            | ~ ssItem(X8)
            | ~ memberP(X7,X8) )
        & sK46 = cons(sK48,nil)
        & ! [X9] :
            ( ~ lt(sK48,X9)
            | ~ memberP(sK49,X9)
            | ~ ssItem(X9) )
        & app(app(sK49,sK46),X7) = sK47
        & ssList(X7) )
   => ( ! [X8] :
          ( ~ lt(X8,sK48)
          | ~ ssItem(X8)
          | ~ memberP(sK50,X8) )
      & sK46 = cons(sK48,nil)
      & ! [X9] :
          ( ~ lt(sK48,X9)
          | ~ memberP(sK49,X9)
          | ~ ssItem(X9) )
      & app(app(sK49,sK46),sK50) = sK47
      & ssList(sK50) ) ),
    introduced(choice_axiom,[]) ).

fof(f319,plain,
    ? [X0] :
      ( ? [X1] :
          ( ? [X2] :
              ( ? [X3] :
                  ( ! [X4] :
                      ( ~ ssList(X4)
                      | ~ segmentP(X0,X4)
                      | ~ segmentP(X1,X4)
                      | ~ neq(X4,nil) )
                  & ssList(X3)
                  & ( ( nil = X2
                      & nil = X3 )
                    | ? [X5] :
                        ( ? [X6] :
                            ( ? [X7] :
                                ( ! [X8] :
                                    ( ~ lt(X8,X5)
                                    | ~ ssItem(X8)
                                    | ~ memberP(X7,X8) )
                                & cons(X5,nil) = X2
                                & ! [X9] :
                                    ( ~ lt(X5,X9)
                                    | ~ memberP(X6,X9)
                                    | ~ ssItem(X9) )
                                & app(app(X6,X2),X7) = X3
                                & ssList(X7) )
                            & ssList(X6) )
                        & ssItem(X5) ) )
                  & X1 = X3
                  & ( nil != X1
                    | nil != X0 )
                  & X0 = X2 )
              & ssList(X2) )
          & ssList(X1) )
      & ssList(X0) ),
    inference(rectify,[],[f141]) ).

fof(f141,plain,
    ? [X0] :
      ( ? [X1] :
          ( ? [X2] :
              ( ? [X3] :
                  ( ! [X9] :
                      ( ~ ssList(X9)
                      | ~ segmentP(X0,X9)
                      | ~ segmentP(X1,X9)
                      | ~ neq(X9,nil) )
                  & ssList(X3)
                  & ( ( nil = X2
                      & nil = X3 )
                    | ? [X4] :
                        ( ? [X5] :
                            ( ? [X6] :
                                ( ! [X7] :
                                    ( ~ lt(X7,X4)
                                    | ~ ssItem(X7)
                                    | ~ memberP(X6,X7) )
                                & cons(X4,nil) = X2
                                & ! [X8] :
                                    ( ~ lt(X4,X8)
                                    | ~ memberP(X5,X8)
                                    | ~ ssItem(X8) )
                                & app(app(X5,X2),X6) = X3
                                & ssList(X6) )
                            & ssList(X5) )
                        & ssItem(X4) ) )
                  & X1 = X3
                  & ( nil != X1
                    | nil != X0 )
                  & X0 = X2 )
              & ssList(X2) )
          & ssList(X1) )
      & ssList(X0) ),
    inference(flattening,[],[f140]) ).

fof(f140,plain,
    ? [X0] :
      ( ? [X1] :
          ( ? [X2] :
              ( ? [X3] :
                  ( ! [X9] :
                      ( ~ ssList(X9)
                      | ~ segmentP(X0,X9)
                      | ~ segmentP(X1,X9)
                      | ~ neq(X9,nil) )
                  & X1 = X3
                  & X0 = X2
                  & ( nil != X1
                    | nil != X0 )
                  & ( ? [X4] :
                        ( ? [X5] :
                            ( ? [X6] :
                                ( app(app(X5,X2),X6) = X3
                                & ! [X8] :
                                    ( ~ lt(X4,X8)
                                    | ~ memberP(X5,X8)
                                    | ~ ssItem(X8) )
                                & cons(X4,nil) = X2
                                & ! [X7] :
                                    ( ~ lt(X7,X4)
                                    | ~ ssItem(X7)
                                    | ~ memberP(X6,X7) )
                                & ssList(X6) )
                            & ssList(X5) )
                        & ssItem(X4) )
                    | ( nil = X2
                      & nil = X3 ) )
                  & ssList(X3) )
              & ssList(X2) )
          & ssList(X1) )
      & ssList(X0) ),
    inference(ennf_transformation,[],[f98]) ).

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

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

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

fof(f530,plain,
    ! [X4] :
      ( ~ ssList(X4)
      | ~ segmentP(sK44,X4)
      | ~ segmentP(sK45,X4)
      | ~ neq(X4,nil) ),
    inference(cnf_transformation,[],[f327]) ).

fof(f2554,plain,
    ( segmentP(sK47,sK44)
    | ~ spl54_209 ),
    inference(avatar_component_clause,[],[f2552]) ).

fof(f2334,plain,
    ( ~ spl54_9
    | ~ spl54_1
    | ~ spl54_7
    | ~ spl54_117 ),
    inference(avatar_split_clause,[],[f2301,f1700,f629,f601,f639]) ).

fof(f629,plain,
    ( spl54_7
  <=> ssItem(sK48) ),
    introduced(avatar_definition,[new_symbols(naming,[spl54_7])]) ).

fof(f1700,plain,
    ( spl54_117
  <=> cons(sK48,sK50) = sK47 ),
    introduced(avatar_definition,[new_symbols(naming,[spl54_117])]) ).

fof(f2301,plain,
    ( ~ ssItem(sK48)
    | nil != sK47
    | ~ ssList(sK50)
    | ~ spl54_117 ),
    inference(superposition,[],[f352,f1702]) ).

fof(f1702,plain,
    ( cons(sK48,sK50) = sK47
    | ~ spl54_117 ),
    inference(avatar_component_clause,[],[f1700]) ).

fof(f352,plain,
    ! [X0,X1] :
      ( nil != cons(X1,X0)
      | ~ ssList(X0)
      | ~ ssItem(X1) ),
    inference(cnf_transformation,[],[f145]) ).

fof(f145,plain,
    ! [X0] :
      ( ~ ssList(X0)
      | ! [X1] :
          ( nil != cons(X1,X0)
          | ~ ssItem(X1) ) ),
    inference(ennf_transformation,[],[f21]) ).

fof(f21,axiom,
    ! [X0] :
      ( ssList(X0)
     => ! [X1] :
          ( ssItem(X1)
         => nil != cons(X1,X0) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax21) ).

fof(f1708,plain,
    ( ~ spl54_9
    | spl54_117
    | ~ spl54_42
    | ~ spl54_109 ),
    inference(avatar_split_clause,[],[f1665,f1596,f951,f1700,f639]) ).

fof(f951,plain,
    ( spl54_42
  <=> ! [X0] :
        ( ~ ssList(X0)
        | cons(sK48,X0) = app(sK44,X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl54_42])]) ).

fof(f1596,plain,
    ( spl54_109
  <=> app(sK44,sK50) = sK47 ),
    introduced(avatar_definition,[new_symbols(naming,[spl54_109])]) ).

fof(f1665,plain,
    ( cons(sK48,sK50) = sK47
    | ~ ssList(sK50)
    | ~ spl54_42
    | ~ spl54_109 ),
    inference(superposition,[],[f952,f1598]) ).

fof(f1598,plain,
    ( app(sK44,sK50) = sK47
    | ~ spl54_109 ),
    inference(avatar_component_clause,[],[f1596]) ).

fof(f952,plain,
    ( ! [X0] :
        ( cons(sK48,X0) = app(sK44,X0)
        | ~ ssList(X0) )
    | ~ spl54_42 ),
    inference(avatar_component_clause,[],[f951]) ).

fof(f1599,plain,
    ( spl54_109
    | ~ spl54_29
    | ~ spl54_15
    | ~ spl54_61 ),
    inference(avatar_split_clause,[],[f1558,f1123,f671,f767,f1596]) ).

fof(f1123,plain,
    ( spl54_61
  <=> nil = sK49 ),
    introduced(avatar_definition,[new_symbols(naming,[spl54_61])]) ).

fof(f1558,plain,
    ( ~ ssList(sK44)
    | app(sK44,sK50) = sK47
    | ~ spl54_15
    | ~ spl54_61 ),
    inference(superposition,[],[f1550,f531]) ).

fof(f531,plain,
    ! [X0] :
      ( app(nil,X0) = X0
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f133]) ).

fof(f133,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/sandbox/benchmark/theBenchmark.p',ax28) ).

fof(f1550,plain,
    ( app(app(nil,sK44),sK50) = sK47
    | ~ spl54_15
    | ~ spl54_61 ),
    inference(backward_demodulation,[],[f673,f1125]) ).

fof(f1125,plain,
    ( nil = sK49
    | ~ spl54_61 ),
    inference(avatar_component_clause,[],[f1123]) ).

fof(f1229,plain,
    ( spl54_61
    | ~ spl54_2
    | ~ spl54_29
    | ~ spl54_41 ),
    inference(avatar_split_clause,[],[f1199,f930,f767,f605,f1123]) ).

fof(f1199,plain,
    ( ~ ssList(sK44)
    | ~ ssList(sK49)
    | nil = sK49
    | ~ spl54_41 ),
    inference(trivial_inequality_removal,[],[f1195]) ).

fof(f1195,plain,
    ( ~ ssList(sK44)
    | nil != nil
    | ~ ssList(sK49)
    | nil = sK49
    | ~ spl54_41 ),
    inference(superposition,[],[f479,f932]) ).

fof(f932,plain,
    ( nil = app(sK49,sK44)
    | ~ spl54_41 ),
    inference(avatar_component_clause,[],[f930]) ).

fof(f1047,plain,
    ( ~ spl54_29
    | ~ spl54_2
    | spl54_30 ),
    inference(avatar_split_clause,[],[f1046,f779,f605,f767]) ).

fof(f1046,plain,
    ( ~ ssList(sK49)
    | ~ ssList(sK44)
    | spl54_30 ),
    inference(resolution,[],[f781,f465]) ).

fof(f465,plain,
    ! [X0,X1] :
      ( ssList(app(X0,X1))
      | ~ ssList(X1)
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f222]) ).

fof(f222,plain,
    ! [X0] :
      ( ! [X1] :
          ( ~ ssList(X1)
          | ssList(app(X0,X1)) )
      | ~ ssList(X0) ),
    inference(ennf_transformation,[],[f26]) ).

fof(f26,axiom,
    ! [X0] :
      ( ssList(X0)
     => ! [X1] :
          ( ssList(X1)
         => ssList(app(X0,X1)) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax26) ).

fof(f781,plain,
    ( ~ ssList(app(sK49,sK44))
    | spl54_30 ),
    inference(avatar_component_clause,[],[f779]) ).

fof(f953,plain,
    ( ~ spl54_7
    | spl54_42
    | ~ spl54_10 ),
    inference(avatar_split_clause,[],[f942,f645,f951,f629]) ).

fof(f645,plain,
    ( spl54_10
  <=> cons(sK48,nil) = sK44 ),
    introduced(avatar_definition,[new_symbols(naming,[spl54_10])]) ).

fof(f942,plain,
    ( ! [X0] :
        ( ~ ssList(X0)
        | cons(sK48,X0) = app(sK44,X0)
        | ~ ssItem(sK48) )
    | ~ spl54_10 ),
    inference(superposition,[],[f366,f647]) ).

fof(f647,plain,
    ( cons(sK48,nil) = sK44
    | ~ spl54_10 ),
    inference(avatar_component_clause,[],[f645]) ).

fof(f366,plain,
    ! [X0,X1] :
      ( cons(X1,X0) = app(cons(X1,nil),X0)
      | ~ ssList(X0)
      | ~ ssItem(X1) ),
    inference(cnf_transformation,[],[f146]) ).

fof(f146,plain,
    ! [X0] :
      ( ~ ssList(X0)
      | ! [X1] :
          ( ~ ssItem(X1)
          | cons(X1,X0) = app(cons(X1,nil),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(f798,plain,
    ( ~ spl54_5
    | ~ spl54_4
    | ~ spl54_7
    | ~ spl54_10 ),
    inference(avatar_split_clause,[],[f797,f645,f629,f614,f619]) ).

fof(f797,plain,
    ( ~ ssItem(sK48)
    | ~ ssList(nil)
    | nil != sK44
    | ~ spl54_10 ),
    inference(superposition,[],[f382,f647]) ).

fof(f382,plain,
    ! [X0,X1] :
      ( cons(X1,X0) != X0
      | ~ ssItem(X1)
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f127]) ).

fof(f127,plain,
    ! [X0] :
      ( ! [X1] :
          ( cons(X1,X0) != X0
          | ~ ssItem(X1) )
      | ~ ssList(X0) ),
    inference(ennf_transformation,[],[f18]) ).

fof(f18,axiom,
    ! [X0] :
      ( ssList(X0)
     => ! [X1] :
          ( ssItem(X1)
         => cons(X1,X0) != X0 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax18) ).

fof(f770,plain,
    ( ~ spl54_4
    | spl54_29
    | ~ spl54_7
    | ~ spl54_10 ),
    inference(avatar_split_clause,[],[f765,f645,f629,f767,f614]) ).

fof(f765,plain,
    ( ~ ssItem(sK48)
    | ssList(sK44)
    | ~ ssList(nil)
    | ~ spl54_10 ),
    inference(superposition,[],[f385,f647]) ).

fof(f385,plain,
    ! [X0,X1] :
      ( ssList(cons(X1,X0))
      | ~ ssList(X0)
      | ~ ssItem(X1) ),
    inference(cnf_transformation,[],[f155]) ).

fof(f155,plain,
    ! [X0] :
      ( ! [X1] :
          ( ssList(cons(X1,X0))
          | ~ ssItem(X1) )
      | ~ ssList(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(f700,plain,
    spl54_17,
    inference(avatar_contradiction_clause,[],[f698]) ).

fof(f698,plain,
    ( $false
    | spl54_17 ),
    inference(resolution,[],[f687,f529]) ).

fof(f529,plain,
    ssList(sK47),
    inference(cnf_transformation,[],[f327]) ).

fof(f687,plain,
    ( ~ ssList(sK47)
    | spl54_17 ),
    inference(avatar_component_clause,[],[f685]) ).

fof(f676,plain,
    ( ~ spl54_1
    | ~ spl54_5 ),
    inference(avatar_split_clause,[],[f563,f619,f601]) ).

fof(f563,plain,
    ( nil != sK44
    | nil != sK47 ),
    inference(definition_unfolding,[],[f513,f514]) ).

fof(f513,plain,
    ( nil != sK45
    | nil != sK44 ),
    inference(cnf_transformation,[],[f327]) ).

fof(f675,plain,
    ( spl54_15
    | spl54_1 ),
    inference(avatar_split_clause,[],[f562,f601,f671]) ).

fof(f562,plain,
    ( nil = sK47
    | app(app(sK49,sK44),sK50) = sK47 ),
    inference(definition_unfolding,[],[f518,f512]) ).

fof(f512,plain,
    sK46 = sK44,
    inference(cnf_transformation,[],[f327]) ).

fof(f518,plain,
    ( nil = sK47
    | app(app(sK49,sK46),sK50) = sK47 ),
    inference(cnf_transformation,[],[f327]) ).

fof(f674,plain,
    ( spl54_15
    | spl54_5 ),
    inference(avatar_split_clause,[],[f557,f619,f671]) ).

fof(f557,plain,
    ( nil = sK44
    | app(app(sK49,sK44),sK50) = sK47 ),
    inference(definition_unfolding,[],[f525,f512,f512]) ).

fof(f525,plain,
    ( nil = sK46
    | app(app(sK49,sK46),sK50) = sK47 ),
    inference(cnf_transformation,[],[f327]) ).

fof(f669,plain,
    ( spl54_9
    | spl54_5 ),
    inference(avatar_split_clause,[],[f558,f619,f639]) ).

fof(f558,plain,
    ( nil = sK44
    | ssList(sK50) ),
    inference(definition_unfolding,[],[f524,f512]) ).

fof(f524,plain,
    ( nil = sK46
    | ssList(sK50) ),
    inference(cnf_transformation,[],[f327]) ).

fof(f662,plain,
    ( spl54_5
    | spl54_10 ),
    inference(avatar_split_clause,[],[f555,f645,f619]) ).

fof(f555,plain,
    ( cons(sK48,nil) = sK44
    | nil = sK44 ),
    inference(definition_unfolding,[],[f527,f512,f512]) ).

fof(f527,plain,
    ( nil = sK46
    | sK46 = cons(sK48,nil) ),
    inference(cnf_transformation,[],[f327]) ).

fof(f648,plain,
    ( spl54_10
    | spl54_1 ),
    inference(avatar_split_clause,[],[f561,f601,f645]) ).

fof(f561,plain,
    ( nil = sK47
    | cons(sK48,nil) = sK44 ),
    inference(definition_unfolding,[],[f520,f512]) ).

fof(f520,plain,
    ( nil = sK47
    | sK46 = cons(sK48,nil) ),
    inference(cnf_transformation,[],[f327]) ).

fof(f643,plain,
    ( spl54_7
    | spl54_1 ),
    inference(avatar_split_clause,[],[f515,f601,f629]) ).

fof(f515,plain,
    ( nil = sK47
    | ssItem(sK48) ),
    inference(cnf_transformation,[],[f327]) ).

fof(f642,plain,
    ( spl54_1
    | spl54_9 ),
    inference(avatar_split_clause,[],[f517,f639,f601]) ).

fof(f517,plain,
    ( ssList(sK50)
    | nil = sK47 ),
    inference(cnf_transformation,[],[f327]) ).

fof(f637,plain,
    spl54_4,
    inference(avatar_split_clause,[],[f346,f614]) ).

fof(f346,plain,
    ssList(nil),
    inference(cnf_transformation,[],[f17]) ).

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

fof(f632,plain,
    ( spl54_7
    | spl54_5 ),
    inference(avatar_split_clause,[],[f560,f619,f629]) ).

fof(f560,plain,
    ( nil = sK44
    | ssItem(sK48) ),
    inference(definition_unfolding,[],[f522,f512]) ).

fof(f522,plain,
    ( nil = sK46
    | ssItem(sK48) ),
    inference(cnf_transformation,[],[f327]) ).

fof(f622,plain,
    ( spl54_5
    | spl54_2 ),
    inference(avatar_split_clause,[],[f559,f605,f619]) ).

fof(f559,plain,
    ( ssList(sK49)
    | nil = sK44 ),
    inference(definition_unfolding,[],[f523,f512]) ).

fof(f523,plain,
    ( nil = sK46
    | ssList(sK49) ),
    inference(cnf_transformation,[],[f327]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem    : SWC071+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
% 0.14/0.34  % Computer : n006.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit   : 300
% 0.14/0.34  % WCLimit    : 300
% 0.14/0.34  % DateTime   : Tue Aug 30 18:06:25 EDT 2022
% 0.14/0.34  % CPUTime    : 
% 0.21/0.54  % (19289)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)
% 0.21/0.57  % (19266)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)
% 0.21/0.57  % (19273)lrs+10_1:1_ep=R:lcm=predicate:lma=on:sos=all:spb=goal:ss=included:i=12:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/12Mi)
% 0.21/0.57  % (19282)dis-10_3:2_amm=sco:ep=RS:fsr=off:nm=10:sd=2:sos=on:ss=axioms:st=3.0:i=11:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/11Mi)
% 0.21/0.58  % (19267)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)
% 0.21/0.58  % (19274)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)
% 0.21/0.58  % (19263)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 0.21/0.58  % (19283)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)
% 0.21/0.59  % (19264)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)
% 0.21/0.59  % (19265)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)
% 0.21/0.59  % (19265)Instruction limit reached!
% 0.21/0.59  % (19265)------------------------------
% 0.21/0.59  % (19265)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.59  % (19265)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.59  % (19265)Termination reason: Unknown
% 0.21/0.59  % (19265)Termination phase: Preprocessing 3
% 0.21/0.59  
% 0.21/0.59  % (19265)Memory used [KB]: 1535
% 0.21/0.59  % (19265)Time elapsed: 0.003 s
% 0.21/0.59  % (19265)Instructions burned: 3 (million)
% 0.21/0.59  % (19265)------------------------------
% 0.21/0.59  % (19265)------------------------------
% 0.21/0.59  % (19268)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)
% 0.21/0.59  % (19274)Instruction limit reached!
% 0.21/0.59  % (19274)------------------------------
% 0.21/0.59  % (19274)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.59  % (19274)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.59  % (19274)Termination reason: Unknown
% 0.21/0.59  % (19274)Termination phase: Saturation
% 0.21/0.59  
% 0.21/0.59  % (19274)Memory used [KB]: 6140
% 0.21/0.59  % (19274)Time elapsed: 0.009 s
% 0.21/0.59  % (19274)Instructions burned: 7 (million)
% 0.21/0.59  % (19274)------------------------------
% 0.21/0.59  % (19274)------------------------------
% 0.21/0.59  % (19286)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)
% 0.21/0.59  % (19277)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)
% 0.21/0.60  % (19277)Instruction limit reached!
% 0.21/0.60  % (19277)------------------------------
% 0.21/0.60  % (19277)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.60  % (19277)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.60  % (19277)Termination reason: Unknown
% 0.21/0.60  % (19277)Termination phase: Preprocessing 2
% 0.21/0.60  
% 0.21/0.60  % (19277)Memory used [KB]: 1535
% 0.21/0.60  % (19277)Time elapsed: 0.004 s
% 0.21/0.60  % (19277)Instructions burned: 3 (million)
% 0.21/0.60  % (19277)------------------------------
% 0.21/0.60  % (19277)------------------------------
% 0.21/0.60  % (19282)Instruction limit reached!
% 0.21/0.60  % (19282)------------------------------
% 0.21/0.60  % (19282)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.60  % (19282)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.60  % (19282)Termination reason: Unknown
% 0.21/0.60  % (19282)Termination phase: Saturation
% 0.21/0.60  
% 0.21/0.60  % (19282)Memory used [KB]: 6396
% 0.21/0.60  % (19282)Time elapsed: 0.165 s
% 0.21/0.60  % (19282)Instructions burned: 11 (million)
% 0.21/0.60  % (19282)------------------------------
% 0.21/0.60  % (19282)------------------------------
% 0.21/0.60  % (19280)fmb+10_1:1_nm=2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.21/0.60  % (19280)Instruction limit reached!
% 0.21/0.60  % (19280)------------------------------
% 0.21/0.60  % (19280)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.60  % (19280)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.60  % (19280)Termination reason: Unknown
% 0.21/0.60  % (19280)Termination phase: shuffling
% 0.21/0.60  
% 0.21/0.60  % (19280)Memory used [KB]: 1535
% 0.21/0.60  % (19280)Time elapsed: 0.003 s
% 0.21/0.60  % (19280)Instructions burned: 3 (million)
% 0.21/0.60  % (19280)------------------------------
% 0.21/0.60  % (19280)------------------------------
% 0.21/0.60  % (19273)Instruction limit reached!
% 0.21/0.60  % (19273)------------------------------
% 0.21/0.60  % (19273)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.60  % (19273)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.60  % (19273)Termination reason: Unknown
% 0.21/0.60  % (19273)Termination phase: Saturation
% 0.21/0.60  
% 0.21/0.60  % (19273)Memory used [KB]: 6268
% 0.21/0.60  % (19273)Time elapsed: 0.167 s
% 0.21/0.60  % (19273)Instructions burned: 12 (million)
% 0.21/0.60  % (19273)------------------------------
% 0.21/0.60  % (19273)------------------------------
% 0.21/0.60  % (19269)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)
% 0.21/0.60  % (19267)Instruction limit reached!
% 0.21/0.60  % (19267)------------------------------
% 0.21/0.60  % (19267)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.60  % (19267)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.60  % (19267)Termination reason: Unknown
% 0.21/0.60  % (19267)Termination phase: Saturation
% 0.21/0.60  
% 0.21/0.60  % (19267)Memory used [KB]: 6268
% 0.21/0.60  % (19267)Time elapsed: 0.192 s
% 0.21/0.60  % (19267)Instructions burned: 14 (million)
% 0.21/0.60  % (19267)------------------------------
% 0.21/0.60  % (19267)------------------------------
% 0.21/0.61  % (19287)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)
% 0.21/0.61  % (19291)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)
% 1.94/0.61  % (19292)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)
% 1.94/0.61  % (19264)Instruction limit reached!
% 1.94/0.61  % (19264)------------------------------
% 1.94/0.61  % (19264)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.94/0.61  % (19264)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.94/0.61  % (19264)Termination reason: Unknown
% 1.94/0.61  % (19264)Termination phase: Saturation
% 1.94/0.61  
% 1.94/0.61  % (19264)Memory used [KB]: 6396
% 1.94/0.61  % (19264)Time elapsed: 0.011 s
% 1.94/0.61  % (19264)Instructions burned: 13 (million)
% 1.94/0.61  % (19264)------------------------------
% 1.94/0.61  % (19264)------------------------------
% 1.94/0.62  % (19284)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)
% 1.94/0.62  % (19290)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)
% 1.94/0.62  % (19281)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)
% 1.94/0.62  % (19281)Instruction limit reached!
% 1.94/0.62  % (19281)------------------------------
% 1.94/0.62  % (19281)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.94/0.62  % (19281)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.94/0.62  % (19281)Termination reason: Unknown
% 1.94/0.62  % (19281)Termination phase: shuffling
% 1.94/0.62  
% 1.94/0.62  % (19281)Memory used [KB]: 1535
% 1.94/0.62  % (19281)Time elapsed: 0.003 s
% 1.94/0.62  % (19281)Instructions burned: 2 (million)
% 1.94/0.62  % (19281)------------------------------
% 1.94/0.62  % (19281)------------------------------
% 1.94/0.62  % (19279)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)
% 1.94/0.62  % (19268)Instruction limit reached!
% 1.94/0.62  % (19268)------------------------------
% 1.94/0.62  % (19268)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.94/0.62  % (19268)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.94/0.62  % (19268)Termination reason: Unknown
% 1.94/0.62  % (19268)Termination phase: Saturation
% 1.94/0.62  
% 1.94/0.62  % (19268)Memory used [KB]: 1791
% 1.94/0.62  % (19268)Time elapsed: 0.209 s
% 1.94/0.62  % (19268)Instructions burned: 15 (million)
% 1.94/0.62  % (19268)------------------------------
% 1.94/0.62  % (19268)------------------------------
% 1.94/0.62  % (19275)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)
% 1.94/0.63  % (19285)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)
% 1.94/0.63  % (19276)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)
% 2.19/0.63  % (19291)Instruction limit reached!
% 2.19/0.63  % (19291)------------------------------
% 2.19/0.63  % (19291)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.19/0.63  % (19291)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.19/0.63  % (19291)Termination reason: Unknown
% 2.19/0.63  % (19291)Termination phase: Equality resolution with deletion
% 2.19/0.63  
% 2.19/0.63  % (19291)Memory used [KB]: 1791
% 2.19/0.63  % (19291)Time elapsed: 0.008 s
% 2.19/0.63  % (19291)Instructions burned: 9 (million)
% 2.19/0.63  % (19291)------------------------------
% 2.19/0.63  % (19291)------------------------------
% 2.19/0.63  % (19271)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)
% 2.19/0.63  % (19288)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)
% 2.19/0.63  % (19272)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)
% 2.19/0.64  % (19270)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)
% 2.19/0.64  % (19283)Instruction limit reached!
% 2.19/0.64  % (19283)------------------------------
% 2.19/0.64  % (19283)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.19/0.64  % (19283)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.19/0.64  % (19283)Termination reason: Unknown
% 2.19/0.64  % (19283)Termination phase: Saturation
% 2.19/0.64  
% 2.19/0.64  % (19283)Memory used [KB]: 6652
% 2.19/0.64  % (19283)Time elapsed: 0.214 s
% 2.19/0.64  % (19283)Instructions burned: 30 (million)
% 2.19/0.64  % (19283)------------------------------
% 2.19/0.64  % (19283)------------------------------
% 2.19/0.64  % (19278)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)
% 2.25/0.64  % (19275)Instruction limit reached!
% 2.25/0.64  % (19275)------------------------------
% 2.25/0.64  % (19275)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.25/0.64  % (19275)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.25/0.64  % (19275)Termination reason: Unknown
% 2.25/0.64  % (19275)Termination phase: Saturation
% 2.25/0.64  
% 2.25/0.64  % (19275)Memory used [KB]: 2046
% 2.25/0.64  % (19275)Time elapsed: 0.225 s
% 2.25/0.64  % (19275)Instructions burned: 16 (million)
% 2.25/0.64  % (19275)------------------------------
% 2.25/0.64  % (19275)------------------------------
% 2.25/0.66  % (19266)Instruction limit reached!
% 2.25/0.66  % (19266)------------------------------
% 2.25/0.66  % (19266)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.25/0.66  % (19266)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.25/0.66  % (19266)Termination reason: Unknown
% 2.25/0.66  % (19266)Termination phase: Saturation
% 2.25/0.66  
% 2.25/0.66  % (19266)Memory used [KB]: 7164
% 2.25/0.66  % (19266)Time elapsed: 0.242 s
% 2.25/0.66  % (19266)Instructions burned: 51 (million)
% 2.25/0.66  % (19266)------------------------------
% 2.25/0.66  % (19266)------------------------------
% 2.25/0.67  % (19278)Instruction limit reached!
% 2.25/0.67  % (19278)------------------------------
% 2.25/0.67  % (19278)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.25/0.67  % (19278)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.25/0.67  % (19278)Termination reason: Unknown
% 2.25/0.67  % (19278)Termination phase: Property scanning
% 2.25/0.67  
% 2.25/0.67  % (19278)Memory used [KB]: 1791
% 2.25/0.67  % (19278)Time elapsed: 0.007 s
% 2.25/0.67  % (19278)Instructions burned: 7 (million)
% 2.25/0.67  % (19278)------------------------------
% 2.25/0.67  % (19278)------------------------------
% 2.25/0.67  % (19292)Instruction limit reached!
% 2.25/0.67  % (19292)------------------------------
% 2.25/0.67  % (19292)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.25/0.68  % (19292)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.25/0.68  % (19292)Termination reason: Unknown
% 2.25/0.68  % (19292)Termination phase: Saturation
% 2.25/0.68  
% 2.25/0.68  % (19292)Memory used [KB]: 6524
% 2.25/0.68  % (19292)Time elapsed: 0.238 s
% 2.25/0.68  % (19292)Instructions burned: 25 (million)
% 2.25/0.68  % (19292)------------------------------
% 2.25/0.68  % (19292)------------------------------
% 2.25/0.69  % (19269)Instruction limit reached!
% 2.25/0.69  % (19269)------------------------------
% 2.25/0.69  % (19269)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.25/0.70  % (19290)Instruction limit reached!
% 2.25/0.70  % (19290)------------------------------
% 2.25/0.70  % (19290)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.25/0.70  % (19290)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.25/0.70  % (19290)Termination reason: Unknown
% 2.25/0.70  % (19290)Termination phase: Saturation
% 2.25/0.70  
% 2.25/0.70  % (19290)Memory used [KB]: 6652
% 2.25/0.70  % (19290)Time elapsed: 0.283 s
% 2.25/0.70  % (19290)Instructions burned: 25 (million)
% 2.25/0.70  % (19290)------------------------------
% 2.25/0.70  % (19290)------------------------------
% 2.25/0.71  % (19269)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.25/0.71  % (19269)Termination reason: Unknown
% 2.25/0.71  % (19269)Termination phase: Saturation
% 2.25/0.71  
% 2.25/0.71  % (19269)Memory used [KB]: 6524
% 2.25/0.71  % (19269)Time elapsed: 0.259 s
% 2.25/0.71  % (19269)Instructions burned: 40 (million)
% 2.25/0.71  % (19269)------------------------------
% 2.25/0.71  % (19269)------------------------------
% 2.60/0.71  % (19272)Instruction limit reached!
% 2.60/0.71  % (19272)------------------------------
% 2.60/0.71  % (19272)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.60/0.71  % (19272)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.60/0.71  % (19272)Termination reason: Unknown
% 2.60/0.71  % (19272)Termination phase: Saturation
% 2.60/0.71  
% 2.60/0.71  % (19272)Memory used [KB]: 6780
% 2.60/0.71  % (19272)Time elapsed: 0.275 s
% 2.60/0.71  % (19272)Instructions burned: 34 (million)
% 2.60/0.71  % (19272)------------------------------
% 2.60/0.71  % (19272)------------------------------
% 2.60/0.73  % (19286)Instruction limit reached!
% 2.60/0.73  % (19286)------------------------------
% 2.60/0.73  % (19286)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.60/0.73  % (19286)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.60/0.73  % (19286)Termination reason: Unknown
% 2.60/0.73  % (19286)Termination phase: Saturation
% 2.60/0.73  
% 2.60/0.73  % (19286)Memory used [KB]: 2174
% 2.60/0.73  % (19286)Time elapsed: 0.246 s
% 2.60/0.73  % (19286)Instructions burned: 45 (million)
% 2.60/0.73  % (19286)------------------------------
% 2.60/0.73  % (19286)------------------------------
% 2.60/0.74  % (19276)Instruction limit reached!
% 2.60/0.74  % (19276)------------------------------
% 2.60/0.74  % (19276)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.60/0.74  % (19276)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.60/0.74  % (19276)Termination reason: Unknown
% 2.60/0.74  % (19276)Termination phase: Saturation
% 2.60/0.74  
% 2.60/0.74  % (19276)Memory used [KB]: 7291
% 2.60/0.74  % (19276)Time elapsed: 0.321 s
% 2.60/0.74  % (19276)Instructions burned: 52 (million)
% 2.60/0.74  % (19276)------------------------------
% 2.60/0.74  % (19276)------------------------------
% 2.60/0.74  % (19270)Instruction limit reached!
% 2.60/0.74  % (19270)------------------------------
% 2.60/0.74  % (19270)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.60/0.74  % (19270)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.60/0.74  % (19270)Termination reason: Unknown
% 2.60/0.74  % (19270)Termination phase: Saturation
% 2.60/0.74  
% 2.60/0.74  % (19270)Memory used [KB]: 6780
% 2.60/0.74  % (19270)Time elapsed: 0.261 s
% 2.60/0.74  % (19270)Instructions burned: 39 (million)
% 2.60/0.74  % (19270)------------------------------
% 2.60/0.74  % (19270)------------------------------
% 2.60/0.74  % (19287)Instruction limit reached!
% 2.60/0.74  % (19287)------------------------------
% 2.60/0.74  % (19287)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.60/0.74  % (19287)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.60/0.74  % (19287)Termination reason: Unknown
% 2.60/0.74  % (19287)Termination phase: Saturation
% 2.60/0.74  
% 2.60/0.74  % (19287)Memory used [KB]: 6780
% 2.60/0.74  % (19287)Time elapsed: 0.328 s
% 2.60/0.74  % (19287)Instructions burned: 50 (million)
% 2.60/0.74  % (19287)------------------------------
% 2.60/0.74  % (19287)------------------------------
% 2.60/0.75  % (19279)Instruction limit reached!
% 2.60/0.75  % (19279)------------------------------
% 2.60/0.75  % (19279)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.60/0.75  % (19279)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.60/0.75  % (19279)Termination reason: Unknown
% 2.60/0.75  % (19279)Termination phase: Saturation
% 2.60/0.75  
% 2.60/0.75  % (19279)Memory used [KB]: 6908
% 2.60/0.75  % (19279)Time elapsed: 0.311 s
% 2.60/0.75  % (19279)Instructions burned: 50 (million)
% 2.60/0.75  % (19279)------------------------------
% 2.60/0.75  % (19279)------------------------------
% 2.60/0.76  % (19289)Refutation not found, non-redundant clauses discarded% (19289)------------------------------
% 2.60/0.76  % (19289)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.60/0.76  % (19289)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.60/0.76  % (19289)Termination reason: Refutation not found, non-redundant clauses discarded
% 2.60/0.76  
% 2.60/0.76  % (19289)Memory used [KB]: 7291
% 2.60/0.76  % (19289)Time elapsed: 0.332 s
% 2.60/0.76  % (19289)Instructions burned: 97 (million)
% 2.60/0.76  % (19289)------------------------------
% 2.60/0.76  % (19289)------------------------------
% 2.60/0.76  % (19285)First to succeed.
% 2.78/0.77  % (19271)Instruction limit reached!
% 2.78/0.77  % (19271)------------------------------
% 2.78/0.77  % (19271)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.78/0.77  % (19271)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.78/0.77  % (19271)Termination reason: Unknown
% 2.78/0.77  % (19271)Termination phase: Saturation
% 2.78/0.77  
% 2.78/0.77  % (19271)Memory used [KB]: 6908
% 2.78/0.77  % (19271)Time elapsed: 0.315 s
% 2.78/0.77  % (19271)Instructions burned: 49 (million)
% 2.78/0.77  % (19271)------------------------------
% 2.78/0.77  % (19271)------------------------------
% 2.78/0.77  % (19285)Refutation found. Thanks to Tanya!
% 2.78/0.77  % SZS status Theorem for theBenchmark
% 2.78/0.77  % SZS output start Proof for theBenchmark
% See solution above
% 2.78/0.77  % (19285)------------------------------
% 2.78/0.77  % (19285)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.78/0.77  % (19285)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.78/0.77  % (19285)Termination reason: Refutation
% 2.78/0.77  
% 2.78/0.77  % (19285)Memory used [KB]: 7803
% 2.78/0.77  % (19285)Time elapsed: 0.340 s
% 2.78/0.77  % (19285)Instructions burned: 55 (million)
% 2.78/0.77  % (19285)------------------------------
% 2.78/0.77  % (19285)------------------------------
% 2.78/0.77  % (19262)Success in time 0.428 s
%------------------------------------------------------------------------------