TSTP Solution File: SWC164+1 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : SWC164+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 : n003.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 18:39:15 EDT 2022

% Result   : Theorem 3.51s 0.91s
% Output   : Refutation 3.51s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   21
%            Number of leaves      :   58
% Syntax   : Number of formulae    :  305 (  22 unt;   0 def)
%            Number of atoms       : 1412 ( 361 equ)
%            Maximal formula atoms :   42 (   4 avg)
%            Number of connectives : 1853 ( 746   ~; 789   |; 226   &)
%                                         (  29 <=>;  63  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   23 (   5 avg)
%            Maximal term depth    :    5 (   1 avg)
%            Number of predicates  :   31 (  29 usr;  24 prp; 0-2 aty)
%            Number of functors    :   23 (  23 usr;  16 con; 0-2 aty)
%            Number of variables   :  281 ( 181   !; 100   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f5420,plain,
    $false,
    inference(avatar_sat_refutation,[],[f659,f683,f684,f783,f789,f803,f805,f917,f1268,f1288,f1398,f1409,f2762,f2776,f2786,f2826,f3080,f4479,f4689,f4734,f5015,f5087,f5413,f5416]) ).

fof(f5416,plain,
    ( ~ spl68_2
    | ~ spl68_8
    | ~ spl68_14
    | ~ spl68_16
    | ~ spl68_17
    | ~ spl68_18
    | spl68_41
    | ~ spl68_90
    | ~ spl68_91
    | ~ spl68_133 ),
    inference(avatar_contradiction_clause,[],[f5415]) ).

fof(f5415,plain,
    ( $false
    | ~ spl68_2
    | ~ spl68_8
    | ~ spl68_14
    | ~ spl68_16
    | ~ spl68_17
    | ~ spl68_18
    | spl68_41
    | ~ spl68_90
    | ~ spl68_91
    | ~ spl68_133 ),
    inference(subsumption_resolution,[],[f5414,f4963]) ).

fof(f4963,plain,
    ( ssList(tl(sF66))
    | ~ spl68_133 ),
    inference(avatar_component_clause,[],[f4962]) ).

fof(f4962,plain,
    ( spl68_133
  <=> ssList(tl(sF66)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl68_133])]) ).

fof(f5414,plain,
    ( ~ ssList(tl(sF66))
    | ~ spl68_2
    | ~ spl68_8
    | ~ spl68_14
    | ~ spl68_16
    | ~ spl68_17
    | ~ spl68_18
    | spl68_41
    | ~ spl68_90
    | ~ spl68_91 ),
    inference(subsumption_resolution,[],[f5407,f1701]) ).

fof(f1701,plain,
    ( ~ frontsegP(sF66,sK51)
    | spl68_41 ),
    inference(avatar_component_clause,[],[f1699]) ).

fof(f1699,plain,
    ( spl68_41
  <=> frontsegP(sF66,sK51) ),
    introduced(avatar_definition,[new_symbols(naming,[spl68_41])]) ).

fof(f5407,plain,
    ( frontsegP(sF66,sK51)
    | ~ ssList(tl(sF66))
    | ~ spl68_2
    | ~ spl68_8
    | ~ spl68_14
    | ~ spl68_16
    | ~ spl68_17
    | ~ spl68_18
    | ~ spl68_90
    | ~ spl68_91 ),
    inference(superposition,[],[f4460,f2860]) ).

fof(f2860,plain,
    ( sF66 = cons(sK55,tl(sF66))
    | ~ spl68_2
    | ~ spl68_14
    | ~ spl68_16
    | ~ spl68_17
    | ~ spl68_18
    | ~ spl68_90 ),
    inference(subsumption_resolution,[],[f2859,f774]) ).

fof(f774,plain,
    ( ssList(sF66)
    | ~ spl68_14 ),
    inference(avatar_component_clause,[],[f772]) ).

fof(f772,plain,
    ( spl68_14
  <=> ssList(sF66) ),
    introduced(avatar_definition,[new_symbols(naming,[spl68_14])]) ).

fof(f2859,plain,
    ( sF66 = cons(sK55,tl(sF66))
    | ~ ssList(sF66)
    | ~ spl68_2
    | ~ spl68_14
    | ~ spl68_16
    | ~ spl68_17
    | ~ spl68_18
    | ~ spl68_90 ),
    inference(subsumption_resolution,[],[f2850,f1074]) ).

fof(f1074,plain,
    ( nil != sF66
    | ~ spl68_2
    | ~ spl68_16
    | ~ spl68_17
    | ~ spl68_18 ),
    inference(subsumption_resolution,[],[f1073,f781]) ).

fof(f781,plain,
    ( ssList(sF64)
    | ~ spl68_16 ),
    inference(avatar_component_clause,[],[f780]) ).

fof(f780,plain,
    ( spl68_16
  <=> ssList(sF64) ),
    introduced(avatar_definition,[new_symbols(naming,[spl68_16])]) ).

fof(f1073,plain,
    ( ~ ssList(sF64)
    | nil != sF66
    | ~ spl68_2
    | ~ spl68_17
    | ~ spl68_18 ),
    inference(subsumption_resolution,[],[f1072,f812]) ).

fof(f812,plain,
    ( nil != sF63
    | ~ spl68_2 ),
    inference(subsumption_resolution,[],[f811,f631]) ).

fof(f631,plain,
    ( ssList(nil)
    | ~ spl68_2 ),
    inference(avatar_component_clause,[],[f630]) ).

fof(f630,plain,
    ( spl68_2
  <=> ssList(nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl68_2])]) ).

fof(f811,plain,
    ( nil != sF63
    | ~ ssList(nil) ),
    inference(subsumption_resolution,[],[f807,f541]) ).

fof(f541,plain,
    ssItem(sK56),
    inference(cnf_transformation,[],[f342]) ).

fof(f342,plain,
    ( ssList(sK51)
    & ssList(sK53)
    & sK54 = sK52
    & ( ( nil = sK54
        & nil = sK53 )
      | ( cons(sK55,nil) = sK53
        & ! [X5] :
            ( ~ leq(X5,sK55)
            | ~ memberP(sK54,X5)
            | sK55 = X5
            | ~ ssItem(X5) )
        & memberP(sK54,sK55)
        & ssItem(sK55) ) )
    & ssItem(sK56)
    & ssItem(sK57)
    & ssList(sK58)
    & app(app(app(sK58,cons(sK56,nil)),cons(sK57,nil)),sK59) = sK51
    & ~ neq(sK56,sK57)
    & ssList(sK59)
    & sK53 = sK51
    & ssList(sK54)
    & ssList(sK52) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK51,sK52,sK53,sK54,sK55,sK56,sK57,sK58,sK59])],[f130,f341,f340,f339,f338,f337,f336,f335,f334,f333]) ).

fof(f333,plain,
    ( ? [X0] :
        ( ssList(X0)
        & ? [X1] :
            ( ? [X2] :
                ( ssList(X2)
                & ? [X3] :
                    ( X1 = X3
                    & ( ( nil = X3
                        & nil = X2 )
                      | ? [X4] :
                          ( cons(X4,nil) = X2
                          & ! [X5] :
                              ( ~ leq(X5,X4)
                              | ~ memberP(X3,X5)
                              | X4 = X5
                              | ~ ssItem(X5) )
                          & memberP(X3,X4)
                          & ssItem(X4) ) )
                    & ? [X6] :
                        ( ssItem(X6)
                        & ? [X7] :
                            ( ssItem(X7)
                            & ? [X8] :
                                ( ssList(X8)
                                & ? [X9] :
                                    ( app(app(app(X8,cons(X6,nil)),cons(X7,nil)),X9) = X0
                                    & ~ neq(X6,X7)
                                    & ssList(X9) ) ) ) )
                    & X0 = X2
                    & ssList(X3) ) )
            & ssList(X1) ) )
   => ( ssList(sK51)
      & ? [X1] :
          ( ? [X2] :
              ( ssList(X2)
              & ? [X3] :
                  ( X1 = X3
                  & ( ( nil = X3
                      & nil = X2 )
                    | ? [X4] :
                        ( cons(X4,nil) = X2
                        & ! [X5] :
                            ( ~ leq(X5,X4)
                            | ~ memberP(X3,X5)
                            | X4 = X5
                            | ~ ssItem(X5) )
                        & memberP(X3,X4)
                        & ssItem(X4) ) )
                  & ? [X6] :
                      ( ssItem(X6)
                      & ? [X7] :
                          ( ssItem(X7)
                          & ? [X8] :
                              ( ssList(X8)
                              & ? [X9] :
                                  ( app(app(app(X8,cons(X6,nil)),cons(X7,nil)),X9) = sK51
                                  & ~ neq(X6,X7)
                                  & ssList(X9) ) ) ) )
                  & sK51 = X2
                  & ssList(X3) ) )
          & ssList(X1) ) ) ),
    introduced(choice_axiom,[]) ).

fof(f334,plain,
    ( ? [X1] :
        ( ? [X2] :
            ( ssList(X2)
            & ? [X3] :
                ( X1 = X3
                & ( ( nil = X3
                    & nil = X2 )
                  | ? [X4] :
                      ( cons(X4,nil) = X2
                      & ! [X5] :
                          ( ~ leq(X5,X4)
                          | ~ memberP(X3,X5)
                          | X4 = X5
                          | ~ ssItem(X5) )
                      & memberP(X3,X4)
                      & ssItem(X4) ) )
                & ? [X6] :
                    ( ssItem(X6)
                    & ? [X7] :
                        ( ssItem(X7)
                        & ? [X8] :
                            ( ssList(X8)
                            & ? [X9] :
                                ( app(app(app(X8,cons(X6,nil)),cons(X7,nil)),X9) = sK51
                                & ~ neq(X6,X7)
                                & ssList(X9) ) ) ) )
                & sK51 = X2
                & ssList(X3) ) )
        & ssList(X1) )
   => ( ? [X2] :
          ( ssList(X2)
          & ? [X3] :
              ( sK52 = X3
              & ( ( nil = X3
                  & nil = X2 )
                | ? [X4] :
                    ( cons(X4,nil) = X2
                    & ! [X5] :
                        ( ~ leq(X5,X4)
                        | ~ memberP(X3,X5)
                        | X4 = X5
                        | ~ ssItem(X5) )
                    & memberP(X3,X4)
                    & ssItem(X4) ) )
              & ? [X6] :
                  ( ssItem(X6)
                  & ? [X7] :
                      ( ssItem(X7)
                      & ? [X8] :
                          ( ssList(X8)
                          & ? [X9] :
                              ( app(app(app(X8,cons(X6,nil)),cons(X7,nil)),X9) = sK51
                              & ~ neq(X6,X7)
                              & ssList(X9) ) ) ) )
              & sK51 = X2
              & ssList(X3) ) )
      & ssList(sK52) ) ),
    introduced(choice_axiom,[]) ).

fof(f335,plain,
    ( ? [X2] :
        ( ssList(X2)
        & ? [X3] :
            ( sK52 = X3
            & ( ( nil = X3
                & nil = X2 )
              | ? [X4] :
                  ( cons(X4,nil) = X2
                  & ! [X5] :
                      ( ~ leq(X5,X4)
                      | ~ memberP(X3,X5)
                      | X4 = X5
                      | ~ ssItem(X5) )
                  & memberP(X3,X4)
                  & ssItem(X4) ) )
            & ? [X6] :
                ( ssItem(X6)
                & ? [X7] :
                    ( ssItem(X7)
                    & ? [X8] :
                        ( ssList(X8)
                        & ? [X9] :
                            ( app(app(app(X8,cons(X6,nil)),cons(X7,nil)),X9) = sK51
                            & ~ neq(X6,X7)
                            & ssList(X9) ) ) ) )
            & sK51 = X2
            & ssList(X3) ) )
   => ( ssList(sK53)
      & ? [X3] :
          ( sK52 = X3
          & ( ( nil = X3
              & nil = sK53 )
            | ? [X4] :
                ( cons(X4,nil) = sK53
                & ! [X5] :
                    ( ~ leq(X5,X4)
                    | ~ memberP(X3,X5)
                    | X4 = X5
                    | ~ ssItem(X5) )
                & memberP(X3,X4)
                & ssItem(X4) ) )
          & ? [X6] :
              ( ssItem(X6)
              & ? [X7] :
                  ( ssItem(X7)
                  & ? [X8] :
                      ( ssList(X8)
                      & ? [X9] :
                          ( app(app(app(X8,cons(X6,nil)),cons(X7,nil)),X9) = sK51
                          & ~ neq(X6,X7)
                          & ssList(X9) ) ) ) )
          & sK53 = sK51
          & ssList(X3) ) ) ),
    introduced(choice_axiom,[]) ).

fof(f336,plain,
    ( ? [X3] :
        ( sK52 = X3
        & ( ( nil = X3
            & nil = sK53 )
          | ? [X4] :
              ( cons(X4,nil) = sK53
              & ! [X5] :
                  ( ~ leq(X5,X4)
                  | ~ memberP(X3,X5)
                  | X4 = X5
                  | ~ ssItem(X5) )
              & memberP(X3,X4)
              & ssItem(X4) ) )
        & ? [X6] :
            ( ssItem(X6)
            & ? [X7] :
                ( ssItem(X7)
                & ? [X8] :
                    ( ssList(X8)
                    & ? [X9] :
                        ( app(app(app(X8,cons(X6,nil)),cons(X7,nil)),X9) = sK51
                        & ~ neq(X6,X7)
                        & ssList(X9) ) ) ) )
        & sK53 = sK51
        & ssList(X3) )
   => ( sK54 = sK52
      & ( ( nil = sK54
          & nil = sK53 )
        | ? [X4] :
            ( cons(X4,nil) = sK53
            & ! [X5] :
                ( ~ leq(X5,X4)
                | ~ memberP(sK54,X5)
                | X4 = X5
                | ~ ssItem(X5) )
            & memberP(sK54,X4)
            & ssItem(X4) ) )
      & ? [X6] :
          ( ssItem(X6)
          & ? [X7] :
              ( ssItem(X7)
              & ? [X8] :
                  ( ssList(X8)
                  & ? [X9] :
                      ( app(app(app(X8,cons(X6,nil)),cons(X7,nil)),X9) = sK51
                      & ~ neq(X6,X7)
                      & ssList(X9) ) ) ) )
      & sK53 = sK51
      & ssList(sK54) ) ),
    introduced(choice_axiom,[]) ).

fof(f337,plain,
    ( ? [X4] :
        ( cons(X4,nil) = sK53
        & ! [X5] :
            ( ~ leq(X5,X4)
            | ~ memberP(sK54,X5)
            | X4 = X5
            | ~ ssItem(X5) )
        & memberP(sK54,X4)
        & ssItem(X4) )
   => ( cons(sK55,nil) = sK53
      & ! [X5] :
          ( ~ leq(X5,sK55)
          | ~ memberP(sK54,X5)
          | sK55 = X5
          | ~ ssItem(X5) )
      & memberP(sK54,sK55)
      & ssItem(sK55) ) ),
    introduced(choice_axiom,[]) ).

fof(f338,plain,
    ( ? [X6] :
        ( ssItem(X6)
        & ? [X7] :
            ( ssItem(X7)
            & ? [X8] :
                ( ssList(X8)
                & ? [X9] :
                    ( app(app(app(X8,cons(X6,nil)),cons(X7,nil)),X9) = sK51
                    & ~ neq(X6,X7)
                    & ssList(X9) ) ) ) )
   => ( ssItem(sK56)
      & ? [X7] :
          ( ssItem(X7)
          & ? [X8] :
              ( ssList(X8)
              & ? [X9] :
                  ( app(app(app(X8,cons(sK56,nil)),cons(X7,nil)),X9) = sK51
                  & ~ neq(sK56,X7)
                  & ssList(X9) ) ) ) ) ),
    introduced(choice_axiom,[]) ).

fof(f339,plain,
    ( ? [X7] :
        ( ssItem(X7)
        & ? [X8] :
            ( ssList(X8)
            & ? [X9] :
                ( app(app(app(X8,cons(sK56,nil)),cons(X7,nil)),X9) = sK51
                & ~ neq(sK56,X7)
                & ssList(X9) ) ) )
   => ( ssItem(sK57)
      & ? [X8] :
          ( ssList(X8)
          & ? [X9] :
              ( app(app(app(X8,cons(sK56,nil)),cons(sK57,nil)),X9) = sK51
              & ~ neq(sK56,sK57)
              & ssList(X9) ) ) ) ),
    introduced(choice_axiom,[]) ).

fof(f340,plain,
    ( ? [X8] :
        ( ssList(X8)
        & ? [X9] :
            ( app(app(app(X8,cons(sK56,nil)),cons(sK57,nil)),X9) = sK51
            & ~ neq(sK56,sK57)
            & ssList(X9) ) )
   => ( ssList(sK58)
      & ? [X9] :
          ( app(app(app(sK58,cons(sK56,nil)),cons(sK57,nil)),X9) = sK51
          & ~ neq(sK56,sK57)
          & ssList(X9) ) ) ),
    introduced(choice_axiom,[]) ).

fof(f341,plain,
    ( ? [X9] :
        ( app(app(app(sK58,cons(sK56,nil)),cons(sK57,nil)),X9) = sK51
        & ~ neq(sK56,sK57)
        & ssList(X9) )
   => ( app(app(app(sK58,cons(sK56,nil)),cons(sK57,nil)),sK59) = sK51
      & ~ neq(sK56,sK57)
      & ssList(sK59) ) ),
    introduced(choice_axiom,[]) ).

fof(f130,plain,
    ? [X0] :
      ( ssList(X0)
      & ? [X1] :
          ( ? [X2] :
              ( ssList(X2)
              & ? [X3] :
                  ( X1 = X3
                  & ( ( nil = X3
                      & nil = X2 )
                    | ? [X4] :
                        ( cons(X4,nil) = X2
                        & ! [X5] :
                            ( ~ leq(X5,X4)
                            | ~ memberP(X3,X5)
                            | X4 = X5
                            | ~ ssItem(X5) )
                        & memberP(X3,X4)
                        & ssItem(X4) ) )
                  & ? [X6] :
                      ( ssItem(X6)
                      & ? [X7] :
                          ( ssItem(X7)
                          & ? [X8] :
                              ( ssList(X8)
                              & ? [X9] :
                                  ( app(app(app(X8,cons(X6,nil)),cons(X7,nil)),X9) = X0
                                  & ~ neq(X6,X7)
                                  & ssList(X9) ) ) ) )
                  & X0 = X2
                  & ssList(X3) ) )
          & ssList(X1) ) ),
    inference(ennf_transformation,[],[f98]) ).

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

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

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

fof(f807,plain,
    ( ~ ssItem(sK56)
    | ~ ssList(nil)
    | nil != sF63 ),
    inference(superposition,[],[f412,f612]) ).

fof(f612,plain,
    sF63 = cons(sK56,nil),
    introduced(function_definition,[]) ).

fof(f412,plain,
    ! [X0,X1] :
      ( nil != cons(X1,X0)
      | ~ ssItem(X1)
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f116]) ).

fof(f116,plain,
    ! [X0] :
      ( ~ ssList(X0)
      | ! [X1] :
          ( ~ ssItem(X1)
          | nil != cons(X1,X0) ) ),
    inference(ennf_transformation,[],[f21]) ).

fof(f21,axiom,
    ! [X0] :
      ( ssList(X0)
     => ! [X1] :
          ( ssItem(X1)
         => nil != cons(X1,X0) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax21) ).

fof(f1072,plain,
    ( nil = sF63
    | nil != sF66
    | ~ ssList(sF64)
    | ~ spl68_17
    | ~ spl68_18 ),
    inference(subsumption_resolution,[],[f1069,f787]) ).

fof(f787,plain,
    ( ssList(sF63)
    | ~ spl68_17 ),
    inference(avatar_component_clause,[],[f786]) ).

fof(f786,plain,
    ( spl68_17
  <=> ssList(sF63) ),
    introduced(avatar_definition,[new_symbols(naming,[spl68_17])]) ).

fof(f1069,plain,
    ( ~ ssList(sF63)
    | ~ ssList(sF64)
    | nil = sF63
    | nil != sF66
    | ~ spl68_18 ),
    inference(superposition,[],[f514,f928]) ).

fof(f928,plain,
    ( sF66 = app(sF64,sF63)
    | ~ spl68_18 ),
    inference(backward_demodulation,[],[f615,f923]) ).

fof(f923,plain,
    ( sF65 = sF63
    | ~ spl68_18 ),
    inference(forward_demodulation,[],[f920,f612]) ).

fof(f920,plain,
    ( sF65 = cons(sK56,nil)
    | ~ spl68_18 ),
    inference(backward_demodulation,[],[f614,f866]) ).

fof(f866,plain,
    ( sK56 = sK57
    | ~ spl68_18 ),
    inference(avatar_component_clause,[],[f864]) ).

fof(f864,plain,
    ( spl68_18
  <=> sK56 = sK57 ),
    introduced(avatar_definition,[new_symbols(naming,[spl68_18])]) ).

fof(f614,plain,
    cons(sK57,nil) = sF65,
    introduced(function_definition,[]) ).

fof(f615,plain,
    sF66 = app(sF64,sF65),
    introduced(function_definition,[]) ).

fof(f514,plain,
    ! [X0,X1] :
      ( nil != app(X0,X1)
      | ~ ssList(X1)
      | nil = X1
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f318]) ).

fof(f318,plain,
    ! [X0] :
      ( ! [X1] :
          ( ~ ssList(X1)
          | ( ( nil = app(X0,X1)
              | nil != X0
              | nil != X1 )
            & ( ( nil = X0
                & nil = X1 )
              | nil != app(X0,X1) ) ) )
      | ~ ssList(X0) ),
    inference(flattening,[],[f317]) ).

fof(f317,plain,
    ! [X0] :
      ( ! [X1] :
          ( ~ ssList(X1)
          | ( ( nil = app(X0,X1)
              | nil != X0
              | nil != X1 )
            & ( ( nil = X0
                & nil = X1 )
              | nil != app(X0,X1) ) ) )
      | ~ ssList(X0) ),
    inference(nnf_transformation,[],[f199]) ).

fof(f199,plain,
    ! [X0] :
      ( ! [X1] :
          ( ~ ssList(X1)
          | ( nil = app(X0,X1)
          <=> ( nil = X0
              & nil = X1 ) ) )
      | ~ ssList(X0) ),
    inference(ennf_transformation,[],[f83]) ).

fof(f83,axiom,
    ! [X0] :
      ( ssList(X0)
     => ! [X1] :
          ( ssList(X1)
         => ( nil = app(X0,X1)
          <=> ( nil = X0
              & nil = X1 ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax83) ).

fof(f2850,plain,
    ( nil = sF66
    | sF66 = cons(sK55,tl(sF66))
    | ~ ssList(sF66)
    | ~ spl68_2
    | ~ spl68_14
    | ~ spl68_16
    | ~ spl68_17
    | ~ spl68_18
    | ~ spl68_90 ),
    inference(superposition,[],[f369,f2849]) ).

fof(f2849,plain,
    ( hd(sF66) = sK55
    | ~ spl68_2
    | ~ spl68_14
    | ~ spl68_16
    | ~ spl68_17
    | ~ spl68_18
    | ~ spl68_90 ),
    inference(forward_demodulation,[],[f2471,f2748]) ).

fof(f2748,plain,
    ( hd(sK51) = sK55
    | ~ spl68_90 ),
    inference(avatar_component_clause,[],[f2746]) ).

fof(f2746,plain,
    ( spl68_90
  <=> hd(sK51) = sK55 ),
    introduced(avatar_definition,[new_symbols(naming,[spl68_90])]) ).

fof(f2471,plain,
    ( hd(sK51) = hd(sF66)
    | ~ spl68_2
    | ~ spl68_14
    | ~ spl68_16
    | ~ spl68_17
    | ~ spl68_18 ),
    inference(subsumption_resolution,[],[f2470,f774]) ).

fof(f2470,plain,
    ( ~ ssList(sF66)
    | hd(sK51) = hd(sF66)
    | ~ spl68_2
    | ~ spl68_16
    | ~ spl68_17
    | ~ spl68_18 ),
    inference(subsumption_resolution,[],[f2469,f1074]) ).

fof(f2469,plain,
    ( nil = sF66
    | hd(sK51) = hd(sF66)
    | ~ ssList(sF66) ),
    inference(subsumption_resolution,[],[f2456,f536]) ).

fof(f536,plain,
    ssList(sK59),
    inference(cnf_transformation,[],[f342]) ).

fof(f2456,plain,
    ( ~ ssList(sK59)
    | ~ ssList(sF66)
    | hd(sK51) = hd(sF66)
    | nil = sF66 ),
    inference(superposition,[],[f569,f692]) ).

fof(f692,plain,
    app(sF66,sK59) = sK51,
    inference(forward_demodulation,[],[f616,f617]) ).

fof(f617,plain,
    sF67 = sK51,
    inference(definition_folding,[],[f538,f616,f615,f614,f613,f612]) ).

fof(f613,plain,
    sF64 = app(sK58,sF63),
    introduced(function_definition,[]) ).

fof(f538,plain,
    app(app(app(sK58,cons(sK56,nil)),cons(sK57,nil)),sK59) = sK51,
    inference(cnf_transformation,[],[f342]) ).

fof(f616,plain,
    app(sF66,sK59) = sF67,
    introduced(function_definition,[]) ).

fof(f569,plain,
    ! [X0,X1] :
      ( hd(X0) = hd(app(X0,X1))
      | ~ ssList(X0)
      | ~ ssList(X1)
      | nil = X0 ),
    inference(cnf_transformation,[],[f220]) ).

fof(f220,plain,
    ! [X0] :
      ( ~ ssList(X0)
      | ! [X1] :
          ( ~ ssList(X1)
          | nil = X0
          | hd(X0) = hd(app(X0,X1)) ) ),
    inference(flattening,[],[f219]) ).

fof(f219,plain,
    ! [X0] :
      ( ! [X1] :
          ( hd(X0) = hd(app(X0,X1))
          | nil = X0
          | ~ ssList(X1) )
      | ~ ssList(X0) ),
    inference(ennf_transformation,[],[f85]) ).

fof(f85,axiom,
    ! [X0] :
      ( ssList(X0)
     => ! [X1] :
          ( ssList(X1)
         => ( nil != X0
           => hd(X0) = hd(app(X0,X1)) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax85) ).

fof(f369,plain,
    ! [X0] :
      ( cons(hd(X0),tl(X0)) = X0
      | ~ ssList(X0)
      | nil = X0 ),
    inference(cnf_transformation,[],[f166]) ).

fof(f166,plain,
    ! [X0] :
      ( nil = X0
      | cons(hd(X0),tl(X0)) = X0
      | ~ ssList(X0) ),
    inference(flattening,[],[f165]) ).

fof(f165,plain,
    ! [X0] :
      ( cons(hd(X0),tl(X0)) = X0
      | nil = X0
      | ~ ssList(X0) ),
    inference(ennf_transformation,[],[f78]) ).

fof(f78,axiom,
    ! [X0] :
      ( ssList(X0)
     => ( nil != X0
       => cons(hd(X0),tl(X0)) = X0 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax78) ).

fof(f4460,plain,
    ( ! [X13] :
        ( frontsegP(cons(sK55,X13),sK51)
        | ~ ssList(X13) )
    | ~ spl68_8
    | ~ spl68_91 ),
    inference(subsumption_resolution,[],[f4434,f552]) ).

fof(f552,plain,
    ssList(sK51),
    inference(cnf_transformation,[],[f342]) ).

fof(f4434,plain,
    ( ! [X13] :
        ( frontsegP(cons(sK55,X13),sK51)
        | ~ ssList(sK51)
        | ~ ssList(X13) )
    | ~ spl68_8
    | ~ spl68_91 ),
    inference(duplicate_literal_removal,[],[f4432]) ).

fof(f4432,plain,
    ( ! [X13] :
        ( ~ ssList(X13)
        | frontsegP(cons(sK55,X13),sK51)
        | ~ ssList(sK51)
        | ~ ssList(X13) )
    | ~ spl68_8
    | ~ spl68_91 ),
    inference(superposition,[],[f1644,f3360]) ).

fof(f3360,plain,
    ( ! [X0] :
        ( app(sK51,X0) = cons(sK55,X0)
        | ~ ssList(X0) )
    | ~ spl68_8
    | ~ spl68_91 ),
    inference(subsumption_resolution,[],[f3340,f658]) ).

fof(f658,plain,
    ( ssItem(sK55)
    | ~ spl68_8 ),
    inference(avatar_component_clause,[],[f656]) ).

fof(f656,plain,
    ( spl68_8
  <=> ssItem(sK55) ),
    introduced(avatar_definition,[new_symbols(naming,[spl68_8])]) ).

fof(f3340,plain,
    ( ! [X0] :
        ( ~ ssList(X0)
        | app(sK51,X0) = cons(sK55,X0)
        | ~ ssItem(sK55) )
    | ~ spl68_91 ),
    inference(superposition,[],[f413,f2759]) ).

fof(f2759,plain,
    ( cons(sK55,nil) = sK51
    | ~ spl68_91 ),
    inference(avatar_component_clause,[],[f2757]) ).

fof(f2757,plain,
    ( spl68_91
  <=> cons(sK55,nil) = sK51 ),
    introduced(avatar_definition,[new_symbols(naming,[spl68_91])]) ).

fof(f413,plain,
    ! [X0,X1] :
      ( cons(X1,X0) = app(cons(X1,nil),X0)
      | ~ ssItem(X1)
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f128]) ).

fof(f128,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(f1644,plain,
    ! [X3,X1] :
      ( frontsegP(app(X1,X3),X1)
      | ~ ssList(X3)
      | ~ ssList(X1) ),
    inference(subsumption_resolution,[],[f606,f441]) ).

fof(f441,plain,
    ! [X0,X1] :
      ( ssList(app(X0,X1))
      | ~ ssList(X0)
      | ~ ssList(X1) ),
    inference(cnf_transformation,[],[f99]) ).

fof(f99,plain,
    ! [X0] :
      ( ~ ssList(X0)
      | ! [X1] :
          ( ssList(app(X0,X1))
          | ~ ssList(X1) ) ),
    inference(ennf_transformation,[],[f26]) ).

fof(f26,axiom,
    ! [X0] :
      ( ssList(X0)
     => ! [X1] :
          ( ssList(X1)
         => ssList(app(X0,X1)) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax26) ).

fof(f606,plain,
    ! [X3,X1] :
      ( ~ ssList(X3)
      | frontsegP(app(X1,X3),X1)
      | ~ ssList(X1)
      | ~ ssList(app(X1,X3)) ),
    inference(equality_resolution,[],[f553]) ).

fof(f553,plain,
    ! [X3,X0,X1] :
      ( ~ ssList(X0)
      | ~ ssList(X1)
      | frontsegP(X0,X1)
      | app(X1,X3) != X0
      | ~ ssList(X3) ),
    inference(cnf_transformation,[],[f346]) ).

fof(f346,plain,
    ! [X0] :
      ( ~ ssList(X0)
      | ! [X1] :
          ( ~ ssList(X1)
          | ( ( ( app(X1,sK60(X0,X1)) = X0
                & ssList(sK60(X0,X1)) )
              | ~ frontsegP(X0,X1) )
            & ( frontsegP(X0,X1)
              | ! [X3] :
                  ( app(X1,X3) != X0
                  | ~ ssList(X3) ) ) ) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK60])],[f344,f345]) ).

fof(f345,plain,
    ! [X0,X1] :
      ( ? [X2] :
          ( app(X1,X2) = X0
          & ssList(X2) )
     => ( app(X1,sK60(X0,X1)) = X0
        & ssList(sK60(X0,X1)) ) ),
    introduced(choice_axiom,[]) ).

fof(f344,plain,
    ! [X0] :
      ( ~ ssList(X0)
      | ! [X1] :
          ( ~ ssList(X1)
          | ( ( ? [X2] :
                  ( app(X1,X2) = X0
                  & ssList(X2) )
              | ~ frontsegP(X0,X1) )
            & ( frontsegP(X0,X1)
              | ! [X3] :
                  ( app(X1,X3) != X0
                  | ~ ssList(X3) ) ) ) ) ),
    inference(rectify,[],[f343]) ).

fof(f343,plain,
    ! [X0] :
      ( ~ ssList(X0)
      | ! [X1] :
          ( ~ ssList(X1)
          | ( ( ? [X2] :
                  ( app(X1,X2) = X0
                  & ssList(X2) )
              | ~ frontsegP(X0,X1) )
            & ( frontsegP(X0,X1)
              | ! [X2] :
                  ( app(X1,X2) != X0
                  | ~ ssList(X2) ) ) ) ) ),
    inference(nnf_transformation,[],[f127]) ).

fof(f127,plain,
    ! [X0] :
      ( ~ ssList(X0)
      | ! [X1] :
          ( ~ ssList(X1)
          | ( ? [X2] :
                ( app(X1,X2) = X0
                & ssList(X2) )
          <=> frontsegP(X0,X1) ) ) ),
    inference(ennf_transformation,[],[f5]) ).

fof(f5,axiom,
    ! [X0] :
      ( ssList(X0)
     => ! [X1] :
          ( ssList(X1)
         => ( ? [X2] :
                ( app(X1,X2) = X0
                & ssList(X2) )
          <=> frontsegP(X0,X1) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax5) ).

fof(f5413,plain,
    ( ~ spl68_2
    | ~ spl68_8
    | ~ spl68_14
    | ~ spl68_16
    | ~ spl68_17
    | ~ spl68_18
    | spl68_81
    | ~ spl68_90
    | ~ spl68_91
    | ~ spl68_143 ),
    inference(avatar_contradiction_clause,[],[f5412]) ).

fof(f5412,plain,
    ( $false
    | ~ spl68_2
    | ~ spl68_8
    | ~ spl68_14
    | ~ spl68_16
    | ~ spl68_17
    | ~ spl68_18
    | spl68_81
    | ~ spl68_90
    | ~ spl68_91
    | ~ spl68_143 ),
    inference(subsumption_resolution,[],[f5411,f2637]) ).

fof(f2637,plain,
    ( ~ frontsegP(sF64,sK51)
    | spl68_81 ),
    inference(avatar_component_clause,[],[f2635]) ).

fof(f2635,plain,
    ( spl68_81
  <=> frontsegP(sF64,sK51) ),
    introduced(avatar_definition,[new_symbols(naming,[spl68_81])]) ).

fof(f5411,plain,
    ( frontsegP(sF64,sK51)
    | ~ spl68_2
    | ~ spl68_8
    | ~ spl68_14
    | ~ spl68_16
    | ~ spl68_17
    | ~ spl68_18
    | ~ spl68_90
    | ~ spl68_91
    | ~ spl68_143 ),
    inference(subsumption_resolution,[],[f5406,f5035]) ).

fof(f5035,plain,
    ( ssList(tl(sF64))
    | ~ spl68_143 ),
    inference(avatar_component_clause,[],[f5034]) ).

fof(f5034,plain,
    ( spl68_143
  <=> ssList(tl(sF64)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl68_143])]) ).

fof(f5406,plain,
    ( ~ ssList(tl(sF64))
    | frontsegP(sF64,sK51)
    | ~ spl68_2
    | ~ spl68_8
    | ~ spl68_14
    | ~ spl68_16
    | ~ spl68_17
    | ~ spl68_18
    | ~ spl68_90
    | ~ spl68_91 ),
    inference(superposition,[],[f4460,f2870]) ).

fof(f2870,plain,
    ( sF64 = cons(sK55,tl(sF64))
    | ~ spl68_2
    | ~ spl68_14
    | ~ spl68_16
    | ~ spl68_17
    | ~ spl68_18
    | ~ spl68_90 ),
    inference(subsumption_resolution,[],[f2869,f781]) ).

fof(f2869,plain,
    ( sF64 = cons(sK55,tl(sF64))
    | ~ ssList(sF64)
    | ~ spl68_2
    | ~ spl68_14
    | ~ spl68_16
    | ~ spl68_17
    | ~ spl68_18
    | ~ spl68_90 ),
    inference(subsumption_resolution,[],[f2862,f1077]) ).

fof(f1077,plain,
    ( nil != sF64
    | ~ spl68_2
    | ~ spl68_17 ),
    inference(subsumption_resolution,[],[f1076,f539]) ).

fof(f539,plain,
    ssList(sK58),
    inference(cnf_transformation,[],[f342]) ).

fof(f1076,plain,
    ( nil != sF64
    | ~ ssList(sK58)
    | ~ spl68_2
    | ~ spl68_17 ),
    inference(subsumption_resolution,[],[f1075,f812]) ).

fof(f1075,plain,
    ( nil = sF63
    | ~ ssList(sK58)
    | nil != sF64
    | ~ spl68_17 ),
    inference(subsumption_resolution,[],[f1068,f787]) ).

fof(f1068,plain,
    ( ~ ssList(sF63)
    | nil = sF63
    | ~ ssList(sK58)
    | nil != sF64 ),
    inference(superposition,[],[f514,f613]) ).

fof(f2862,plain,
    ( nil = sF64
    | sF64 = cons(sK55,tl(sF64))
    | ~ ssList(sF64)
    | ~ spl68_2
    | ~ spl68_14
    | ~ spl68_16
    | ~ spl68_17
    | ~ spl68_18
    | ~ spl68_90 ),
    inference(superposition,[],[f369,f2861]) ).

fof(f2861,plain,
    ( sK55 = hd(sF64)
    | ~ spl68_2
    | ~ spl68_14
    | ~ spl68_16
    | ~ spl68_17
    | ~ spl68_18
    | ~ spl68_90 ),
    inference(forward_demodulation,[],[f2488,f2849]) ).

fof(f2488,plain,
    ( hd(sF66) = hd(sF64)
    | ~ spl68_2
    | ~ spl68_16
    | ~ spl68_17
    | ~ spl68_18 ),
    inference(subsumption_resolution,[],[f2487,f787]) ).

fof(f2487,plain,
    ( ~ ssList(sF63)
    | hd(sF66) = hd(sF64)
    | ~ spl68_2
    | ~ spl68_16
    | ~ spl68_17
    | ~ spl68_18 ),
    inference(subsumption_resolution,[],[f2486,f781]) ).

fof(f2486,plain,
    ( hd(sF66) = hd(sF64)
    | ~ ssList(sF64)
    | ~ ssList(sF63)
    | ~ spl68_2
    | ~ spl68_17
    | ~ spl68_18 ),
    inference(subsumption_resolution,[],[f2455,f1077]) ).

fof(f2455,plain,
    ( nil = sF64
    | ~ ssList(sF64)
    | ~ ssList(sF63)
    | hd(sF66) = hd(sF64)
    | ~ spl68_18 ),
    inference(superposition,[],[f569,f928]) ).

fof(f5087,plain,
    ( ~ spl68_2
    | ~ spl68_16
    | ~ spl68_17
    | spl68_143 ),
    inference(avatar_contradiction_clause,[],[f5086]) ).

fof(f5086,plain,
    ( $false
    | ~ spl68_2
    | ~ spl68_16
    | ~ spl68_17
    | spl68_143 ),
    inference(subsumption_resolution,[],[f5085,f781]) ).

fof(f5085,plain,
    ( ~ ssList(sF64)
    | ~ spl68_2
    | ~ spl68_17
    | spl68_143 ),
    inference(subsumption_resolution,[],[f5083,f1077]) ).

fof(f5083,plain,
    ( nil = sF64
    | ~ ssList(sF64)
    | spl68_143 ),
    inference(resolution,[],[f5036,f474]) ).

fof(f474,plain,
    ! [X0] :
      ( ssList(tl(X0))
      | ~ ssList(X0)
      | nil = X0 ),
    inference(cnf_transformation,[],[f126]) ).

fof(f126,plain,
    ! [X0] :
      ( nil = X0
      | ssList(tl(X0))
      | ~ ssList(X0) ),
    inference(flattening,[],[f125]) ).

fof(f125,plain,
    ! [X0] :
      ( ssList(tl(X0))
      | nil = X0
      | ~ ssList(X0) ),
    inference(ennf_transformation,[],[f24]) ).

fof(f24,axiom,
    ! [X0] :
      ( ssList(X0)
     => ( nil != X0
       => ssList(tl(X0)) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax24) ).

fof(f5036,plain,
    ( ~ ssList(tl(sF64))
    | spl68_143 ),
    inference(avatar_component_clause,[],[f5034]) ).

fof(f5015,plain,
    ( ~ spl68_14
    | spl68_129
    | spl68_133 ),
    inference(avatar_contradiction_clause,[],[f5014]) ).

fof(f5014,plain,
    ( $false
    | ~ spl68_14
    | spl68_129
    | spl68_133 ),
    inference(subsumption_resolution,[],[f5013,f4497]) ).

fof(f4497,plain,
    ( nil != sF66
    | spl68_129 ),
    inference(avatar_component_clause,[],[f4496]) ).

fof(f4496,plain,
    ( spl68_129
  <=> nil = sF66 ),
    introduced(avatar_definition,[new_symbols(naming,[spl68_129])]) ).

fof(f5013,plain,
    ( nil = sF66
    | ~ spl68_14
    | spl68_133 ),
    inference(subsumption_resolution,[],[f5011,f774]) ).

fof(f5011,plain,
    ( ~ ssList(sF66)
    | nil = sF66
    | spl68_133 ),
    inference(resolution,[],[f4964,f474]) ).

fof(f4964,plain,
    ( ~ ssList(tl(sF66))
    | spl68_133 ),
    inference(avatar_component_clause,[],[f4962]) ).

fof(f4734,plain,
    ( ~ spl68_129
    | ~ spl68_2
    | ~ spl68_16
    | ~ spl68_17
    | ~ spl68_18 ),
    inference(avatar_split_clause,[],[f4733,f864,f786,f780,f630,f4496]) ).

fof(f4733,plain,
    ( nil != sF66
    | ~ spl68_2
    | ~ spl68_16
    | ~ spl68_17
    | ~ spl68_18 ),
    inference(subsumption_resolution,[],[f4732,f812]) ).

fof(f4732,plain,
    ( nil = sF63
    | nil != sF66
    | ~ spl68_16
    | ~ spl68_17
    | ~ spl68_18 ),
    inference(subsumption_resolution,[],[f4731,f787]) ).

fof(f4731,plain,
    ( ~ ssList(sF63)
    | nil = sF63
    | nil != sF66
    | ~ spl68_16
    | ~ spl68_18 ),
    inference(subsumption_resolution,[],[f4716,f781]) ).

fof(f4716,plain,
    ( ~ ssList(sF64)
    | nil = sF63
    | ~ ssList(sF63)
    | nil != sF66
    | ~ spl68_18 ),
    inference(superposition,[],[f514,f928]) ).

fof(f4689,plain,
    ( ~ spl68_41
    | spl68_42
    | ~ spl68_14 ),
    inference(avatar_split_clause,[],[f4688,f772,f1703,f1699]) ).

fof(f1703,plain,
    ( spl68_42
  <=> sF66 = sK51 ),
    introduced(avatar_definition,[new_symbols(naming,[spl68_42])]) ).

fof(f4688,plain,
    ( sF66 = sK51
    | ~ frontsegP(sF66,sK51)
    | ~ spl68_14 ),
    inference(subsumption_resolution,[],[f4687,f552]) ).

fof(f4687,plain,
    ( ~ frontsegP(sF66,sK51)
    | ~ ssList(sK51)
    | sF66 = sK51
    | ~ spl68_14 ),
    inference(subsumption_resolution,[],[f4686,f774]) ).

fof(f4686,plain,
    ( ~ ssList(sF66)
    | ~ frontsegP(sF66,sK51)
    | sF66 = sK51
    | ~ ssList(sK51)
    | ~ spl68_14 ),
    inference(resolution,[],[f1679,f380]) ).

fof(f380,plain,
    ! [X0,X1] :
      ( ~ frontsegP(X1,X0)
      | ~ ssList(X0)
      | ~ ssList(X1)
      | ~ frontsegP(X0,X1)
      | X0 = X1 ),
    inference(cnf_transformation,[],[f139]) ).

fof(f139,plain,
    ! [X0] :
      ( ! [X1] :
          ( ~ ssList(X1)
          | ~ frontsegP(X0,X1)
          | ~ frontsegP(X1,X0)
          | X0 = X1 )
      | ~ ssList(X0) ),
    inference(flattening,[],[f138]) ).

fof(f138,plain,
    ! [X0] :
      ( ! [X1] :
          ( X0 = X1
          | ~ frontsegP(X0,X1)
          | ~ frontsegP(X1,X0)
          | ~ ssList(X1) )
      | ~ ssList(X0) ),
    inference(ennf_transformation,[],[f41]) ).

fof(f41,axiom,
    ! [X0] :
      ( ssList(X0)
     => ! [X1] :
          ( ssList(X1)
         => ( ( frontsegP(X0,X1)
              & frontsegP(X1,X0) )
           => X0 = X1 ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax41) ).

fof(f1679,plain,
    ( frontsegP(sK51,sF66)
    | ~ spl68_14 ),
    inference(subsumption_resolution,[],[f1678,f774]) ).

fof(f1678,plain,
    ( ~ ssList(sF66)
    | frontsegP(sK51,sF66) ),
    inference(subsumption_resolution,[],[f1666,f536]) ).

fof(f1666,plain,
    ( frontsegP(sK51,sF66)
    | ~ ssList(sK59)
    | ~ ssList(sF66) ),
    inference(superposition,[],[f1644,f692]) ).

fof(f4479,plain,
    ( ~ spl68_2
    | ~ spl68_8
    | ~ spl68_17
    | ~ spl68_18
    | ~ spl68_42
    | ~ spl68_80
    | ~ spl68_85
    | ~ spl68_91 ),
    inference(avatar_contradiction_clause,[],[f4478]) ).

fof(f4478,plain,
    ( $false
    | ~ spl68_2
    | ~ spl68_8
    | ~ spl68_17
    | ~ spl68_18
    | ~ spl68_42
    | ~ spl68_80
    | ~ spl68_85
    | ~ spl68_91 ),
    inference(subsumption_resolution,[],[f4477,f812]) ).

fof(f4477,plain,
    ( nil = sF63
    | ~ spl68_8
    | ~ spl68_17
    | ~ spl68_18
    | ~ spl68_42
    | ~ spl68_80
    | ~ spl68_85
    | ~ spl68_91 ),
    inference(forward_demodulation,[],[f4476,f2715]) ).

fof(f2715,plain,
    ( nil = tl(sK51)
    | ~ spl68_85 ),
    inference(avatar_component_clause,[],[f2713]) ).

fof(f2713,plain,
    ( spl68_85
  <=> nil = tl(sK51) ),
    introduced(avatar_definition,[new_symbols(naming,[spl68_85])]) ).

fof(f4476,plain,
    ( tl(sK51) = sF63
    | ~ spl68_8
    | ~ spl68_17
    | ~ spl68_18
    | ~ spl68_42
    | ~ spl68_80
    | ~ spl68_91 ),
    inference(subsumption_resolution,[],[f4475,f787]) ).

fof(f4475,plain,
    ( tl(sK51) = sF63
    | ~ ssList(sF63)
    | ~ spl68_8
    | ~ spl68_17
    | ~ spl68_18
    | ~ spl68_42
    | ~ spl68_80
    | ~ spl68_91 ),
    inference(subsumption_resolution,[],[f4463,f658]) ).

fof(f4463,plain,
    ( tl(sK51) = sF63
    | ~ ssItem(sK55)
    | ~ ssList(sF63)
    | ~ spl68_8
    | ~ spl68_17
    | ~ spl68_18
    | ~ spl68_42
    | ~ spl68_80
    | ~ spl68_91 ),
    inference(superposition,[],[f356,f4446]) ).

fof(f4446,plain,
    ( cons(sK55,sF63) = sK51
    | ~ spl68_8
    | ~ spl68_17
    | ~ spl68_18
    | ~ spl68_42
    | ~ spl68_80
    | ~ spl68_91 ),
    inference(subsumption_resolution,[],[f4417,f787]) ).

fof(f4417,plain,
    ( ~ ssList(sF63)
    | cons(sK55,sF63) = sK51
    | ~ spl68_8
    | ~ spl68_18
    | ~ spl68_42
    | ~ spl68_80
    | ~ spl68_91 ),
    inference(superposition,[],[f3360,f3736]) ).

fof(f3736,plain,
    ( app(sK51,sF63) = sK51
    | ~ spl68_18
    | ~ spl68_42
    | ~ spl68_80 ),
    inference(forward_demodulation,[],[f3735,f1705]) ).

fof(f1705,plain,
    ( sF66 = sK51
    | ~ spl68_42 ),
    inference(avatar_component_clause,[],[f1703]) ).

fof(f3735,plain,
    ( app(sK51,sF63) = sF66
    | ~ spl68_18
    | ~ spl68_80 ),
    inference(forward_demodulation,[],[f928,f2633]) ).

fof(f2633,plain,
    ( sF64 = sK51
    | ~ spl68_80 ),
    inference(avatar_component_clause,[],[f2631]) ).

fof(f2631,plain,
    ( spl68_80
  <=> sF64 = sK51 ),
    introduced(avatar_definition,[new_symbols(naming,[spl68_80])]) ).

fof(f356,plain,
    ! [X0,X1] :
      ( tl(cons(X1,X0)) = X0
      | ~ ssList(X0)
      | ~ ssItem(X1) ),
    inference(cnf_transformation,[],[f170]) ).

fof(f170,plain,
    ! [X0] :
      ( ~ ssList(X0)
      | ! [X1] :
          ( ~ ssItem(X1)
          | tl(cons(X1,X0)) = X0 ) ),
    inference(ennf_transformation,[],[f25]) ).

fof(f25,axiom,
    ! [X0] :
      ( ssList(X0)
     => ! [X1] :
          ( ssItem(X1)
         => tl(cons(X1,X0)) = X0 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax25) ).

fof(f3080,plain,
    ( spl68_80
    | ~ spl68_16
    | ~ spl68_81
    | ~ spl68_14
    | ~ spl68_16
    | ~ spl68_17
    | ~ spl68_18 ),
    inference(avatar_split_clause,[],[f1980,f864,f786,f780,f772,f2635,f780,f2631]) ).

fof(f1980,plain,
    ( ~ frontsegP(sF64,sK51)
    | ~ ssList(sF64)
    | sF64 = sK51
    | ~ spl68_14
    | ~ spl68_16
    | ~ spl68_17
    | ~ spl68_18 ),
    inference(resolution,[],[f1919,f1682]) ).

fof(f1682,plain,
    ( frontsegP(sF66,sF64)
    | ~ spl68_16
    | ~ spl68_17
    | ~ spl68_18 ),
    inference(subsumption_resolution,[],[f1681,f781]) ).

fof(f1681,plain,
    ( ~ ssList(sF64)
    | frontsegP(sF66,sF64)
    | ~ spl68_17
    | ~ spl68_18 ),
    inference(subsumption_resolution,[],[f1665,f787]) ).

fof(f1665,plain,
    ( ~ ssList(sF63)
    | ~ ssList(sF64)
    | frontsegP(sF66,sF64)
    | ~ spl68_18 ),
    inference(superposition,[],[f1644,f928]) ).

fof(f1919,plain,
    ( ! [X0] :
        ( ~ frontsegP(sF66,X0)
        | ~ ssList(X0)
        | sK51 = X0
        | ~ frontsegP(X0,sK51) )
    | ~ spl68_14 ),
    inference(subsumption_resolution,[],[f1918,f552]) ).

fof(f1918,plain,
    ( ! [X0] :
        ( ~ ssList(sK51)
        | sK51 = X0
        | ~ ssList(X0)
        | ~ frontsegP(X0,sK51)
        | ~ frontsegP(sF66,X0) )
    | ~ spl68_14 ),
    inference(duplicate_literal_removal,[],[f1917]) ).

fof(f1917,plain,
    ( ! [X0] :
        ( ~ frontsegP(sF66,X0)
        | ~ ssList(X0)
        | ~ ssList(X0)
        | ~ ssList(sK51)
        | sK51 = X0
        | ~ frontsegP(X0,sK51) )
    | ~ spl68_14 ),
    inference(resolution,[],[f1886,f380]) ).

fof(f1886,plain,
    ( ! [X14] :
        ( frontsegP(sK51,X14)
        | ~ frontsegP(sF66,X14)
        | ~ ssList(X14) )
    | ~ spl68_14 ),
    inference(subsumption_resolution,[],[f1885,f774]) ).

fof(f1885,plain,
    ! [X14] :
      ( frontsegP(sK51,X14)
      | ~ frontsegP(sF66,X14)
      | ~ ssList(X14)
      | ~ ssList(sF66) ),
    inference(subsumption_resolution,[],[f1870,f536]) ).

fof(f1870,plain,
    ! [X14] :
      ( ~ frontsegP(sF66,X14)
      | ~ ssList(sK59)
      | ~ ssList(sF66)
      | ~ ssList(X14)
      | frontsegP(sK51,X14) ),
    inference(superposition,[],[f442,f692]) ).

fof(f442,plain,
    ! [X2,X0,X1] :
      ( frontsegP(app(X0,X2),X1)
      | ~ ssList(X0)
      | ~ frontsegP(X0,X1)
      | ~ ssList(X1)
      | ~ ssList(X2) ),
    inference(cnf_transformation,[],[f123]) ).

fof(f123,plain,
    ! [X0] :
      ( ! [X1] :
          ( ~ ssList(X1)
          | ! [X2] :
              ( ~ ssList(X2)
              | frontsegP(app(X0,X2),X1)
              | ~ frontsegP(X0,X1) ) )
      | ~ ssList(X0) ),
    inference(flattening,[],[f122]) ).

fof(f122,plain,
    ! [X0] :
      ( ! [X1] :
          ( ! [X2] :
              ( frontsegP(app(X0,X2),X1)
              | ~ frontsegP(X0,X1)
              | ~ ssList(X2) )
          | ~ ssList(X1) )
      | ~ ssList(X0) ),
    inference(ennf_transformation,[],[f43]) ).

fof(f43,axiom,
    ! [X0] :
      ( ssList(X0)
     => ! [X1] :
          ( ssList(X1)
         => ! [X2] :
              ( ssList(X2)
             => ( frontsegP(X0,X1)
               => frontsegP(app(X0,X2),X1) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax43) ).

fof(f2826,plain,
    ( spl68_91
    | ~ spl68_10 ),
    inference(avatar_split_clause,[],[f2825,f668,f2757]) ).

fof(f668,plain,
    ( spl68_10
  <=> sF62 = sK51 ),
    introduced(avatar_definition,[new_symbols(naming,[spl68_10])]) ).

fof(f2825,plain,
    ( cons(sK55,nil) = sK51
    | ~ spl68_10 ),
    inference(forward_demodulation,[],[f609,f670]) ).

fof(f670,plain,
    ( sF62 = sK51
    | ~ spl68_10 ),
    inference(avatar_component_clause,[],[f668]) ).

fof(f609,plain,
    cons(sK55,nil) = sF62,
    introduced(function_definition,[]) ).

fof(f2786,plain,
    ( spl68_3
    | spl68_90
    | ~ spl68_31 ),
    inference(avatar_split_clause,[],[f2785,f1395,f2746,f635]) ).

fof(f635,plain,
    ( spl68_3
  <=> nil = sK51 ),
    introduced(avatar_definition,[new_symbols(naming,[spl68_3])]) ).

fof(f1395,plain,
    ( spl68_31
  <=> sK26(sK51) = sK55 ),
    introduced(avatar_definition,[new_symbols(naming,[spl68_31])]) ).

fof(f2785,plain,
    ( hd(sK51) = sK55
    | nil = sK51
    | ~ spl68_31 ),
    inference(subsumption_resolution,[],[f1418,f552]) ).

fof(f1418,plain,
    ( ~ ssList(sK51)
    | hd(sK51) = sK55
    | nil = sK51
    | ~ spl68_31 ),
    inference(superposition,[],[f1397,f1055]) ).

fof(f1055,plain,
    ! [X3] :
      ( sK26(X3) = hd(X3)
      | nil = X3
      | ~ ssList(X3) ),
    inference(subsumption_resolution,[],[f1054,f419]) ).

fof(f419,plain,
    ! [X0] :
      ( ssItem(sK26(X0))
      | ~ ssList(X0)
      | nil = X0 ),
    inference(cnf_transformation,[],[f273]) ).

fof(f273,plain,
    ! [X0] :
      ( ~ ssList(X0)
      | nil = X0
      | ( ssItem(sK26(X0))
        & cons(sK26(X0),sK25(X0)) = X0
        & ssList(sK25(X0)) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK25,sK26])],[f103,f272,f271]) ).

fof(f271,plain,
    ! [X0] :
      ( ? [X1] :
          ( ? [X2] :
              ( ssItem(X2)
              & cons(X2,X1) = X0 )
          & ssList(X1) )
     => ( ? [X2] :
            ( ssItem(X2)
            & cons(X2,sK25(X0)) = X0 )
        & ssList(sK25(X0)) ) ),
    introduced(choice_axiom,[]) ).

fof(f272,plain,
    ! [X0] :
      ( ? [X2] :
          ( ssItem(X2)
          & cons(X2,sK25(X0)) = X0 )
     => ( ssItem(sK26(X0))
        & cons(sK26(X0),sK25(X0)) = X0 ) ),
    introduced(choice_axiom,[]) ).

fof(f103,plain,
    ! [X0] :
      ( ~ ssList(X0)
      | nil = X0
      | ? [X1] :
          ( ? [X2] :
              ( ssItem(X2)
              & cons(X2,X1) = X0 )
          & ssList(X1) ) ),
    inference(flattening,[],[f102]) ).

fof(f102,plain,
    ! [X0] :
      ( nil = X0
      | ? [X1] :
          ( ? [X2] :
              ( ssItem(X2)
              & cons(X2,X1) = X0 )
          & ssList(X1) )
      | ~ ssList(X0) ),
    inference(ennf_transformation,[],[f20]) ).

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

fof(f1054,plain,
    ! [X3] :
      ( ~ ssList(X3)
      | ~ ssItem(sK26(X3))
      | sK26(X3) = hd(X3)
      | nil = X3 ),
    inference(subsumption_resolution,[],[f1050,f417]) ).

fof(f417,plain,
    ! [X0] :
      ( ssList(sK25(X0))
      | nil = X0
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f273]) ).

fof(f1050,plain,
    ! [X3] :
      ( ~ ssList(sK25(X3))
      | sK26(X3) = hd(X3)
      | ~ ssList(X3)
      | nil = X3
      | ~ ssItem(sK26(X3)) ),
    inference(superposition,[],[f502,f418]) ).

fof(f418,plain,
    ! [X0] :
      ( cons(sK26(X0),sK25(X0)) = X0
      | ~ ssList(X0)
      | nil = X0 ),
    inference(cnf_transformation,[],[f273]) ).

fof(f502,plain,
    ! [X0,X1] :
      ( hd(cons(X1,X0)) = X1
      | ~ ssItem(X1)
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f143]) ).

fof(f143,plain,
    ! [X0] :
      ( ~ ssList(X0)
      | ! [X1] :
          ( ~ ssItem(X1)
          | hd(cons(X1,X0)) = X1 ) ),
    inference(ennf_transformation,[],[f23]) ).

fof(f23,axiom,
    ! [X0] :
      ( ssList(X0)
     => ! [X1] :
          ( ssItem(X1)
         => hd(cons(X1,X0)) = X1 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax23) ).

fof(f1397,plain,
    ( sK26(sK51) = sK55
    | ~ spl68_31 ),
    inference(avatar_component_clause,[],[f1395]) ).

fof(f2776,plain,
    ( ~ spl68_3
    | ~ spl68_2
    | ~ spl68_14
    | ~ spl68_16
    | ~ spl68_17
    | ~ spl68_18 ),
    inference(avatar_split_clause,[],[f2775,f864,f786,f780,f772,f630,f635]) ).

fof(f2775,plain,
    ( nil != sK51
    | ~ spl68_2
    | ~ spl68_14
    | ~ spl68_16
    | ~ spl68_17
    | ~ spl68_18 ),
    inference(subsumption_resolution,[],[f2774,f1074]) ).

fof(f2774,plain,
    ( nil != sK51
    | nil = sF66
    | ~ spl68_14 ),
    inference(subsumption_resolution,[],[f2773,f536]) ).

fof(f2773,plain,
    ( nil != sK51
    | ~ ssList(sK59)
    | nil = sF66
    | ~ spl68_14 ),
    inference(subsumption_resolution,[],[f1131,f774]) ).

fof(f1131,plain,
    ( ~ ssList(sF66)
    | nil != sK51
    | nil = sF66
    | ~ ssList(sK59) ),
    inference(superposition,[],[f515,f692]) ).

fof(f515,plain,
    ! [X0,X1] :
      ( nil != app(X0,X1)
      | nil = X0
      | ~ ssList(X1)
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f318]) ).

fof(f2762,plain,
    ( spl68_85
    | spl68_3
    | ~ spl68_24 ),
    inference(avatar_split_clause,[],[f2761,f1258,f635,f2713]) ).

fof(f1258,plain,
    ( spl68_24
  <=> nil = sK25(sK51) ),
    introduced(avatar_definition,[new_symbols(naming,[spl68_24])]) ).

fof(f2761,plain,
    ( nil = sK51
    | nil = tl(sK51)
    | ~ spl68_24 ),
    inference(subsumption_resolution,[],[f1299,f552]) ).

fof(f1299,plain,
    ( ~ ssList(sK51)
    | nil = sK51
    | nil = tl(sK51)
    | ~ spl68_24 ),
    inference(superposition,[],[f1064,f1260]) ).

fof(f1260,plain,
    ( nil = sK25(sK51)
    | ~ spl68_24 ),
    inference(avatar_component_clause,[],[f1258]) ).

fof(f1064,plain,
    ! [X0] :
      ( tl(X0) = sK25(X0)
      | ~ ssList(X0)
      | nil = X0 ),
    inference(subsumption_resolution,[],[f1063,f419]) ).

fof(f1063,plain,
    ! [X0] :
      ( ~ ssItem(sK26(X0))
      | tl(X0) = sK25(X0)
      | ~ ssList(X0)
      | nil = X0 ),
    inference(subsumption_resolution,[],[f1047,f417]) ).

fof(f1047,plain,
    ! [X0] :
      ( nil = X0
      | tl(X0) = sK25(X0)
      | ~ ssList(X0)
      | ~ ssList(sK25(X0))
      | ~ ssItem(sK26(X0)) ),
    inference(superposition,[],[f356,f418]) ).

fof(f1409,plain,
    ( spl68_3
    | spl68_30 ),
    inference(avatar_contradiction_clause,[],[f1408]) ).

fof(f1408,plain,
    ( $false
    | spl68_3
    | spl68_30 ),
    inference(subsumption_resolution,[],[f1407,f636]) ).

fof(f636,plain,
    ( nil != sK51
    | spl68_3 ),
    inference(avatar_component_clause,[],[f635]) ).

fof(f1407,plain,
    ( nil = sK51
    | spl68_30 ),
    inference(subsumption_resolution,[],[f1405,f552]) ).

fof(f1405,plain,
    ( ~ ssList(sK51)
    | nil = sK51
    | spl68_30 ),
    inference(resolution,[],[f1393,f419]) ).

fof(f1393,plain,
    ( ~ ssItem(sK26(sK51))
    | spl68_30 ),
    inference(avatar_component_clause,[],[f1391]) ).

fof(f1391,plain,
    ( spl68_30
  <=> ssItem(sK26(sK51)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl68_30])]) ).

fof(f1398,plain,
    ( ~ spl68_30
    | spl68_31
    | ~ spl68_2
    | spl68_3
    | ~ spl68_8
    | ~ spl68_10
    | ~ spl68_24 ),
    inference(avatar_split_clause,[],[f1389,f1258,f668,f656,f635,f630,f1395,f1391]) ).

fof(f1389,plain,
    ( sK26(sK51) = sK55
    | ~ ssItem(sK26(sK51))
    | ~ spl68_2
    | spl68_3
    | ~ spl68_8
    | ~ spl68_10
    | ~ spl68_24 ),
    inference(forward_demodulation,[],[f1388,f852]) ).

fof(f852,plain,
    ( hd(sK51) = sK55
    | ~ spl68_2
    | ~ spl68_8
    | ~ spl68_10 ),
    inference(subsumption_resolution,[],[f851,f658]) ).

fof(f851,plain,
    ( hd(sK51) = sK55
    | ~ ssItem(sK55)
    | ~ spl68_2
    | ~ spl68_10 ),
    inference(subsumption_resolution,[],[f845,f631]) ).

fof(f845,plain,
    ( ~ ssList(nil)
    | ~ ssItem(sK55)
    | hd(sK51) = sK55
    | ~ spl68_10 ),
    inference(superposition,[],[f502,f691]) ).

fof(f691,plain,
    ( cons(sK55,nil) = sK51
    | ~ spl68_10 ),
    inference(forward_demodulation,[],[f609,f670]) ).

fof(f1388,plain,
    ( hd(sK51) = sK26(sK51)
    | ~ ssItem(sK26(sK51))
    | ~ spl68_2
    | spl68_3
    | ~ spl68_24 ),
    inference(subsumption_resolution,[],[f1381,f631]) ).

fof(f1381,plain,
    ( ~ ssItem(sK26(sK51))
    | hd(sK51) = sK26(sK51)
    | ~ ssList(nil)
    | spl68_3
    | ~ spl68_24 ),
    inference(superposition,[],[f502,f1307]) ).

fof(f1307,plain,
    ( cons(sK26(sK51),nil) = sK51
    | spl68_3
    | ~ spl68_24 ),
    inference(subsumption_resolution,[],[f1306,f636]) ).

fof(f1306,plain,
    ( nil = sK51
    | cons(sK26(sK51),nil) = sK51
    | ~ spl68_24 ),
    inference(subsumption_resolution,[],[f1301,f552]) ).

fof(f1301,plain,
    ( ~ ssList(sK51)
    | nil = sK51
    | cons(sK26(sK51),nil) = sK51
    | ~ spl68_24 ),
    inference(superposition,[],[f418,f1260]) ).

fof(f1288,plain,
    ( spl68_3
    | spl68_25 ),
    inference(avatar_contradiction_clause,[],[f1287]) ).

fof(f1287,plain,
    ( $false
    | spl68_3
    | spl68_25 ),
    inference(subsumption_resolution,[],[f1286,f636]) ).

fof(f1286,plain,
    ( nil = sK51
    | spl68_25 ),
    inference(subsumption_resolution,[],[f1278,f552]) ).

fof(f1278,plain,
    ( ~ ssList(sK51)
    | nil = sK51
    | spl68_25 ),
    inference(resolution,[],[f1264,f417]) ).

fof(f1264,plain,
    ( ~ ssList(sK25(sK51))
    | spl68_25 ),
    inference(avatar_component_clause,[],[f1262]) ).

fof(f1262,plain,
    ( spl68_25
  <=> ssList(sK25(sK51)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl68_25])]) ).

fof(f1268,plain,
    ( spl68_24
    | ~ spl68_25
    | ~ spl68_2
    | spl68_3
    | ~ spl68_8
    | ~ spl68_10 ),
    inference(avatar_split_clause,[],[f1267,f668,f656,f635,f630,f1262,f1258]) ).

fof(f1267,plain,
    ( ~ ssList(sK25(sK51))
    | nil = sK25(sK51)
    | ~ spl68_2
    | spl68_3
    | ~ spl68_8
    | ~ spl68_10 ),
    inference(forward_demodulation,[],[f1266,f837]) ).

fof(f837,plain,
    ( nil = tl(sK51)
    | ~ spl68_2
    | ~ spl68_8
    | ~ spl68_10 ),
    inference(subsumption_resolution,[],[f836,f658]) ).

fof(f836,plain,
    ( ~ ssItem(sK55)
    | nil = tl(sK51)
    | ~ spl68_2
    | ~ spl68_10 ),
    inference(subsumption_resolution,[],[f830,f631]) ).

fof(f830,plain,
    ( ~ ssList(nil)
    | nil = tl(sK51)
    | ~ ssItem(sK55)
    | ~ spl68_10 ),
    inference(superposition,[],[f356,f691]) ).

fof(f1266,plain,
    ( ~ ssList(sK25(sK51))
    | sK25(sK51) = tl(sK51)
    | ~ spl68_2
    | spl68_3
    | ~ spl68_8
    | ~ spl68_10 ),
    inference(subsumption_resolution,[],[f1248,f658]) ).

fof(f1248,plain,
    ( ~ ssItem(sK55)
    | ~ ssList(sK25(sK51))
    | sK25(sK51) = tl(sK51)
    | ~ spl68_2
    | spl68_3
    | ~ spl68_8
    | ~ spl68_10 ),
    inference(superposition,[],[f356,f1164]) ).

fof(f1164,plain,
    ( cons(sK55,sK25(sK51)) = sK51
    | ~ spl68_2
    | spl68_3
    | ~ spl68_8
    | ~ spl68_10 ),
    inference(subsumption_resolution,[],[f1163,f552]) ).

fof(f1163,plain,
    ( cons(sK55,sK25(sK51)) = sK51
    | ~ ssList(sK51)
    | ~ spl68_2
    | spl68_3
    | ~ spl68_8
    | ~ spl68_10 ),
    inference(subsumption_resolution,[],[f1149,f636]) ).

fof(f1149,plain,
    ( nil = sK51
    | cons(sK55,sK25(sK51)) = sK51
    | ~ ssList(sK51)
    | ~ spl68_2
    | ~ spl68_8
    | ~ spl68_10 ),
    inference(superposition,[],[f1089,f852]) ).

fof(f1089,plain,
    ! [X1] :
      ( cons(hd(X1),sK25(X1)) = X1
      | ~ ssList(X1)
      | nil = X1 ),
    inference(duplicate_literal_removal,[],[f1087]) ).

fof(f1087,plain,
    ! [X1] :
      ( ~ ssList(X1)
      | nil = X1
      | cons(hd(X1),sK25(X1)) = X1
      | nil = X1
      | ~ ssList(X1) ),
    inference(superposition,[],[f418,f1055]) ).

fof(f917,plain,
    spl68_18,
    inference(avatar_split_clause,[],[f916,f864]) ).

fof(f916,plain,
    sK56 = sK57,
    inference(subsumption_resolution,[],[f915,f541]) ).

fof(f915,plain,
    ( sK56 = sK57
    | ~ ssItem(sK56) ),
    inference(subsumption_resolution,[],[f910,f540]) ).

fof(f540,plain,
    ssItem(sK57),
    inference(cnf_transformation,[],[f342]) ).

fof(f910,plain,
    ( ~ ssItem(sK57)
    | sK56 = sK57
    | ~ ssItem(sK56) ),
    inference(resolution,[],[f559,f537]) ).

fof(f537,plain,
    ~ neq(sK56,sK57),
    inference(cnf_transformation,[],[f342]) ).

fof(f559,plain,
    ! [X0,X1] :
      ( neq(X0,X1)
      | ~ ssItem(X0)
      | X0 = X1
      | ~ ssItem(X1) ),
    inference(cnf_transformation,[],[f347]) ).

fof(f347,plain,
    ! [X0] :
      ( ! [X1] :
          ( ~ ssItem(X1)
          | ( ( X0 != X1
              | ~ neq(X0,X1) )
            & ( neq(X0,X1)
              | X0 = X1 ) ) )
      | ~ ssItem(X0) ),
    inference(nnf_transformation,[],[f208]) ).

fof(f208,plain,
    ! [X0] :
      ( ! [X1] :
          ( ~ ssItem(X1)
          | ( X0 != X1
          <=> neq(X0,X1) ) )
      | ~ ssItem(X0) ),
    inference(ennf_transformation,[],[f1]) ).

fof(f1,axiom,
    ! [X0] :
      ( ssItem(X0)
     => ! [X1] :
          ( ssItem(X1)
         => ( X0 != X1
          <=> neq(X0,X1) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax1) ).

fof(f805,plain,
    ( spl68_15
    | ~ spl68_2 ),
    inference(avatar_split_clause,[],[f804,f630,f776]) ).

fof(f776,plain,
    ( spl68_15
  <=> ssList(sF65) ),
    introduced(avatar_definition,[new_symbols(naming,[spl68_15])]) ).

fof(f804,plain,
    ( ssList(sF65)
    | ~ spl68_2 ),
    inference(subsumption_resolution,[],[f797,f631]) ).

fof(f797,plain,
    ( ssList(sF65)
    | ~ ssList(nil) ),
    inference(subsumption_resolution,[],[f792,f540]) ).

fof(f792,plain,
    ( ~ ssItem(sK57)
    | ~ ssList(nil)
    | ssList(sF65) ),
    inference(superposition,[],[f506,f614]) ).

fof(f506,plain,
    ! [X0,X1] :
      ( ssList(cons(X1,X0))
      | ~ ssItem(X1)
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f192]) ).

fof(f192,plain,
    ! [X0] :
      ( ! [X1] :
          ( ~ ssItem(X1)
          | ssList(cons(X1,X0)) )
      | ~ ssList(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(f803,plain,
    ( spl68_17
    | ~ spl68_2 ),
    inference(avatar_split_clause,[],[f802,f630,f786]) ).

fof(f802,plain,
    ( ssList(sF63)
    | ~ spl68_2 ),
    inference(subsumption_resolution,[],[f801,f631]) ).

fof(f801,plain,
    ( ~ ssList(nil)
    | ssList(sF63) ),
    inference(subsumption_resolution,[],[f791,f541]) ).

fof(f791,plain,
    ( ~ ssItem(sK56)
    | ssList(sF63)
    | ~ ssList(nil) ),
    inference(superposition,[],[f506,f612]) ).

fof(f789,plain,
    ( ~ spl68_17
    | spl68_16 ),
    inference(avatar_split_clause,[],[f784,f780,f786]) ).

fof(f784,plain,
    ( ssList(sF64)
    | ~ ssList(sF63) ),
    inference(subsumption_resolution,[],[f765,f539]) ).

fof(f765,plain,
    ( ~ ssList(sF63)
    | ~ ssList(sK58)
    | ssList(sF64) ),
    inference(superposition,[],[f441,f613]) ).

fof(f783,plain,
    ( spl68_14
    | ~ spl68_15
    | ~ spl68_16 ),
    inference(avatar_split_clause,[],[f766,f780,f776,f772]) ).

fof(f766,plain,
    ( ~ ssList(sF64)
    | ~ ssList(sF65)
    | ssList(sF66) ),
    inference(superposition,[],[f441,f615]) ).

fof(f684,plain,
    spl68_2,
    inference(avatar_split_clause,[],[f561,f630]) ).

fof(f561,plain,
    ssList(nil),
    inference(cnf_transformation,[],[f17]) ).

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

fof(f683,plain,
    ( spl68_10
    | spl68_3 ),
    inference(avatar_split_clause,[],[f611,f635,f668]) ).

fof(f611,plain,
    ( nil = sK51
    | sF62 = sK51 ),
    inference(definition_folding,[],[f577,f609]) ).

fof(f577,plain,
    ( nil = sK51
    | cons(sK55,nil) = sK51 ),
    inference(definition_unfolding,[],[f545,f535,f535]) ).

fof(f535,plain,
    sK53 = sK51,
    inference(cnf_transformation,[],[f342]) ).

fof(f545,plain,
    ( nil = sK53
    | cons(sK55,nil) = sK53 ),
    inference(cnf_transformation,[],[f342]) ).

fof(f659,plain,
    ( spl68_8
    | spl68_3 ),
    inference(avatar_split_clause,[],[f580,f635,f656]) ).

fof(f580,plain,
    ( nil = sK51
    | ssItem(sK55) ),
    inference(definition_unfolding,[],[f542,f535]) ).

fof(f542,plain,
    ( nil = sK53
    | ssItem(sK55) ),
    inference(cnf_transformation,[],[f342]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12  % Problem    : SWC164+1 : TPTP v8.1.0. Released v2.4.0.
% 0.14/0.13  % 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 : n003.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 18:31:22 EDT 2022
% 0.14/0.34  % CPUTime    : 
% 0.21/0.50  % (7107)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)
% 0.21/0.50  % (7122)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)
% 0.21/0.51  % (7107)Instruction limit reached!
% 0.21/0.51  % (7107)------------------------------
% 0.21/0.51  % (7107)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.51  % (7114)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)
% 0.21/0.51  % (7114)Instruction limit reached!
% 0.21/0.51  % (7114)------------------------------
% 0.21/0.51  % (7114)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.52  % (7115)lrs+10_1:4_av=off:bs=unit_only:bsr=unit_only:ep=RS:s2a=on:sos=on:sp=frequency:to=lpo:i=16:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 0.21/0.52  % (7122)Refutation not found, incomplete strategy% (7122)------------------------------
% 0.21/0.52  % (7122)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.52  % (7114)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.52  % (7114)Termination reason: Unknown
% 0.21/0.52  % (7114)Termination phase: Saturation
% 0.21/0.52  
% 0.21/0.52  % (7114)Memory used [KB]: 6140
% 0.21/0.52  % (7114)Time elapsed: 0.119 s
% 0.21/0.52  % (7114)Instructions burned: 8 (million)
% 0.21/0.52  % (7114)------------------------------
% 0.21/0.52  % (7114)------------------------------
% 0.21/0.52  % (7107)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.52  % (7107)Termination reason: Unknown
% 0.21/0.52  % (7107)Termination phase: Saturation
% 0.21/0.52  
% 0.21/0.52  % (7107)Memory used [KB]: 6268
% 0.21/0.52  % (7107)Time elapsed: 0.115 s
% 0.21/0.52  % (7107)Instructions burned: 13 (million)
% 0.21/0.52  % (7107)------------------------------
% 0.21/0.52  % (7107)------------------------------
% 0.21/0.52  % (7122)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.52  % (7122)Termination reason: Refutation not found, incomplete strategy
% 0.21/0.52  
% 0.21/0.52  % (7122)Memory used [KB]: 6268
% 0.21/0.52  % (7122)Time elapsed: 0.126 s
% 0.21/0.52  % (7122)Instructions burned: 8 (million)
% 0.21/0.52  % (7122)------------------------------
% 0.21/0.52  % (7122)------------------------------
% 0.21/0.53  % (7127)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)
% 0.21/0.53  % (7104)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)
% 0.21/0.53  % (7117)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)
% 0.21/0.53  % (7117)Instruction limit reached!
% 0.21/0.53  % (7117)------------------------------
% 0.21/0.53  % (7117)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.53  % (7117)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.53  % (7117)Termination reason: Unknown
% 0.21/0.53  % (7117)Termination phase: Preprocessing 3
% 0.21/0.53  
% 0.21/0.53  % (7117)Memory used [KB]: 1535
% 0.21/0.53  % (7117)Time elapsed: 0.003 s
% 0.21/0.53  % (7117)Instructions burned: 3 (million)
% 0.21/0.53  % (7117)------------------------------
% 0.21/0.53  % (7117)------------------------------
% 0.21/0.53  % (7131)dis+2_3:1_aac=none:abs=on:ep=R:lcm=reverse:nwc=10.0:sos=on:sp=const_frequency:spb=units:urr=ec_only:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/8Mi)
% 0.21/0.53  % (7125)dis+1010_2:3_fs=off:fsr=off:nm=0:nwc=5.0:s2a=on:s2agt=32:i=82:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/82Mi)
% 0.21/0.53  % (7108)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)
% 0.21/0.53  % (7130)dis+21_1:1_aac=none:abs=on:er=known:fde=none:fsr=off:nwc=5.0:s2a=on:s2at=4.0:sp=const_frequency:to=lpo:urr=ec_only:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 0.21/0.53  % (7103)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 0.21/0.53  % (7123)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)
% 0.21/0.53  % (7105)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)
% 0.21/0.53  % (7128)lrs+11_1:1_plsq=on:plsqc=1:plsqr=32,1:ss=included:i=95:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/95Mi)
% 0.21/0.53  % (7116)lrs+10_1:32_br=off:nm=16:sd=2:ss=axioms:st=2.0:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.21/0.53  % (7105)Instruction limit reached!
% 0.21/0.53  % (7105)------------------------------
% 0.21/0.53  % (7105)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.53  % (7105)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.53  % (7105)Termination reason: Unknown
% 0.21/0.53  % (7105)Termination phase: Naming
% 0.21/0.53  
% 0.21/0.53  % (7105)Memory used [KB]: 1535
% 0.21/0.53  % (7105)Time elapsed: 0.002 s
% 0.21/0.53  % (7105)Instructions burned: 3 (million)
% 0.21/0.53  % (7105)------------------------------
% 0.21/0.53  % (7105)------------------------------
% 0.21/0.53  % (7106)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)
% 0.21/0.54  % (7119)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)
% 0.21/0.54  % (7109)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)
% 0.21/0.54  % (7115)Instruction limit reached!
% 0.21/0.54  % (7115)------------------------------
% 0.21/0.54  % (7115)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.54  % (7129)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)
% 0.21/0.54  % (7118)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)
% 0.21/0.54  % (7131)Instruction limit reached!
% 0.21/0.54  % (7131)------------------------------
% 0.21/0.54  % (7131)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.54  % (7115)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.54  % (7115)Termination reason: Unknown
% 0.21/0.54  % (7115)Termination phase: Saturation
% 0.21/0.54  
% 0.21/0.54  % (7115)Memory used [KB]: 2046
% 0.21/0.54  % (7115)Time elapsed: 0.134 s
% 0.21/0.54  % (7115)Instructions burned: 16 (million)
% 0.21/0.54  % (7115)------------------------------
% 0.21/0.54  % (7115)------------------------------
% 0.21/0.54  % (7132)lrs-11_1:1_nm=0:sac=on:sd=4:ss=axioms:st=3.0:i=24:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/24Mi)
% 0.21/0.54  % (7131)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.54  % (7131)Termination reason: Unknown
% 0.21/0.54  % (7131)Termination phase: Equality resolution with deletion
% 0.21/0.54  
% 0.21/0.54  % (7131)Memory used [KB]: 1791
% 0.21/0.54  % (7131)Time elapsed: 0.010 s
% 0.21/0.54  % (7131)Instructions burned: 9 (million)
% 0.21/0.54  % (7131)------------------------------
% 0.21/0.54  % (7131)------------------------------
% 0.21/0.54  % (7111)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)
% 0.21/0.54  % (7118)Instruction limit reached!
% 0.21/0.54  % (7118)------------------------------
% 0.21/0.54  % (7118)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.54  % (7118)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.54  % (7118)Termination reason: Unknown
% 0.21/0.54  % (7118)Termination phase: Property scanning
% 0.21/0.54  
% 0.21/0.54  % (7118)Memory used [KB]: 1791
% 0.21/0.54  % (7118)Time elapsed: 0.004 s
% 0.21/0.54  % (7118)Instructions burned: 7 (million)
% 0.21/0.54  % (7118)------------------------------
% 0.21/0.54  % (7118)------------------------------
% 0.21/0.54  % (7113)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)
% 0.21/0.55  % (7112)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)
% 0.21/0.55  % (7110)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)
% 0.21/0.55  % (7121)ott+1010_1:1_sd=2:sos=on:sp=occurrence:ss=axioms:urr=on:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.21/0.55  % (7124)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)
% 0.21/0.55  % (7121)Instruction limit reached!
% 0.21/0.55  % (7121)------------------------------
% 0.21/0.55  % (7121)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.55  % (7121)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.55  % (7121)Termination reason: Unknown
% 0.21/0.55  % (7121)Termination phase: Preprocessing 3
% 0.21/0.55  
% 0.21/0.55  % (7121)Memory used [KB]: 1535
% 0.21/0.55  % (7121)Time elapsed: 0.002 s
% 0.21/0.55  % (7121)Instructions burned: 2 (million)
% 0.21/0.55  % (7121)------------------------------
% 0.21/0.55  % (7121)------------------------------
% 0.21/0.55  % (7120)fmb+10_1:1_nm=2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.21/0.55  % (7120)Instruction limit reached!
% 0.21/0.55  % (7120)------------------------------
% 0.21/0.55  % (7120)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.55  % (7120)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.55  % (7120)Termination reason: Unknown
% 0.21/0.55  % (7120)Termination phase: Preprocessing 3
% 0.21/0.55  
% 0.21/0.55  % (7120)Memory used [KB]: 1663
% 0.21/0.55  % (7120)Time elapsed: 0.003 s
% 0.21/0.55  % (7120)Instructions burned: 4 (million)
% 0.21/0.55  % (7120)------------------------------
% 0.21/0.55  % (7120)------------------------------
% 0.21/0.55  % (7104)Instruction limit reached!
% 0.21/0.55  % (7104)------------------------------
% 0.21/0.55  % (7104)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.55  % (7104)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.55  % (7104)Termination reason: Unknown
% 0.21/0.55  % (7104)Termination phase: Saturation
% 0.21/0.55  
% 0.21/0.55  % (7104)Memory used [KB]: 6524
% 0.21/0.55  % (7104)Time elapsed: 0.150 s
% 0.21/0.55  % (7104)Instructions burned: 13 (million)
% 0.21/0.55  % (7104)------------------------------
% 0.21/0.55  % (7104)------------------------------
% 1.69/0.56  % (7108)Instruction limit reached!
% 1.69/0.56  % (7108)------------------------------
% 1.69/0.56  % (7108)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.69/0.56  % (7108)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.69/0.56  % (7108)Termination reason: Unknown
% 1.69/0.56  % (7108)Termination phase: Saturation
% 1.69/0.56  
% 1.69/0.56  % (7108)Memory used [KB]: 1791
% 1.69/0.56  % (7108)Time elapsed: 0.157 s
% 1.69/0.56  % (7108)Instructions burned: 16 (million)
% 1.69/0.56  % (7108)------------------------------
% 1.69/0.56  % (7108)------------------------------
% 1.69/0.56  % (7126)dis+10_1:1_av=off:sos=on:sp=reverse_arity:ss=included:st=2.0:to=lpo:urr=ec_only:i=45:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/45Mi)
% 1.69/0.57  % (7113)Instruction limit reached!
% 1.69/0.57  % (7113)------------------------------
% 1.69/0.57  % (7113)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.69/0.57  % (7113)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.69/0.57  % (7113)Termination reason: Unknown
% 1.69/0.57  % (7113)Termination phase: Saturation
% 1.69/0.57  
% 1.69/0.57  % (7113)Memory used [KB]: 6268
% 1.69/0.57  % (7113)Time elapsed: 0.160 s
% 1.69/0.57  % (7113)Instructions burned: 14 (million)
% 1.69/0.57  % (7113)------------------------------
% 1.69/0.57  % (7113)------------------------------
% 1.69/0.57  % (7123)Instruction limit reached!
% 1.69/0.57  % (7123)------------------------------
% 1.69/0.57  % (7123)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.69/0.57  % (7123)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.69/0.57  % (7123)Termination reason: Unknown
% 1.69/0.57  % (7123)Termination phase: Saturation
% 1.69/0.57  
% 1.69/0.57  % (7123)Memory used [KB]: 6524
% 1.69/0.57  % (7123)Time elapsed: 0.167 s
% 1.69/0.57  % (7123)Instructions burned: 30 (million)
% 1.69/0.57  % (7123)------------------------------
% 1.69/0.57  % (7123)------------------------------
% 1.69/0.58  % (7130)Instruction limit reached!
% 1.69/0.58  % (7130)------------------------------
% 1.69/0.58  % (7130)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.69/0.58  % (7130)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.69/0.58  % (7130)Termination reason: Unknown
% 1.69/0.58  % (7130)Termination phase: Saturation
% 1.69/0.58  
% 1.69/0.58  % (7130)Memory used [KB]: 6652
% 1.69/0.58  % (7130)Time elapsed: 0.186 s
% 1.69/0.58  % (7130)Instructions burned: 25 (million)
% 1.69/0.58  % (7130)------------------------------
% 1.69/0.58  % (7130)------------------------------
% 1.79/0.59  % (7132)Instruction limit reached!
% 1.79/0.59  % (7132)------------------------------
% 1.79/0.59  % (7132)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.79/0.59  % (7132)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.79/0.59  % (7132)Termination reason: Unknown
% 1.79/0.59  % (7132)Termination phase: Saturation
% 1.79/0.59  
% 1.79/0.59  % (7132)Memory used [KB]: 6396
% 1.79/0.59  % (7132)Time elapsed: 0.184 s
% 1.79/0.59  % (7132)Instructions burned: 24 (million)
% 1.79/0.59  % (7132)------------------------------
% 1.79/0.59  % (7132)------------------------------
% 1.79/0.60  % (7112)Instruction limit reached!
% 1.79/0.60  % (7112)------------------------------
% 1.79/0.60  % (7112)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.79/0.60  % (7112)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.79/0.60  % (7112)Termination reason: Unknown
% 1.79/0.60  % (7112)Termination phase: Saturation
% 1.79/0.60  
% 1.79/0.60  % (7112)Memory used [KB]: 6780
% 1.79/0.60  % (7112)Time elapsed: 0.211 s
% 1.79/0.60  % (7112)Instructions burned: 35 (million)
% 1.79/0.60  % (7112)------------------------------
% 1.79/0.60  % (7112)------------------------------
% 1.79/0.61  % (7106)Refutation not found, non-redundant clauses discarded% (7106)------------------------------
% 1.79/0.61  % (7106)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.79/0.61  % (7106)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.79/0.61  % (7106)Termination reason: Refutation not found, non-redundant clauses discarded
% 1.79/0.61  
% 1.79/0.61  % (7106)Memory used [KB]: 6908
% 1.79/0.61  % (7106)Time elapsed: 0.212 s
% 1.79/0.61  % (7106)Instructions burned: 48 (million)
% 1.79/0.61  % (7106)------------------------------
% 1.79/0.61  % (7106)------------------------------
% 1.79/0.61  % (7116)Instruction limit reached!
% 1.79/0.61  % (7116)------------------------------
% 1.79/0.61  % (7116)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.79/0.61  % (7116)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.79/0.61  % (7116)Termination reason: Unknown
% 1.79/0.61  % (7116)Termination phase: Saturation
% 1.79/0.61  
% 1.79/0.61  % (7116)Memory used [KB]: 7291
% 1.79/0.61  % (7116)Time elapsed: 0.203 s
% 1.79/0.61  % (7116)Instructions burned: 52 (million)
% 1.79/0.61  % (7116)------------------------------
% 1.79/0.61  % (7116)------------------------------
% 1.79/0.62  % (7119)Instruction limit reached!
% 1.79/0.62  % (7119)------------------------------
% 1.79/0.62  % (7119)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.79/0.62  % (7119)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.79/0.62  % (7119)Termination reason: Unknown
% 1.79/0.62  % (7119)Termination phase: Saturation
% 1.79/0.62  
% 1.79/0.62  % (7119)Memory used [KB]: 7164
% 1.79/0.62  % (7119)Time elapsed: 0.230 s
% 1.79/0.62  % (7119)Instructions burned: 50 (million)
% 1.79/0.62  % (7119)------------------------------
% 1.79/0.62  % (7119)------------------------------
% 1.79/0.62  % (7109)Instruction limit reached!
% 1.79/0.62  % (7109)------------------------------
% 1.79/0.62  % (7109)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.79/0.62  % (7109)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.79/0.62  % (7109)Termination reason: Unknown
% 1.79/0.62  % (7109)Termination phase: Saturation
% 1.79/0.62  
% 1.79/0.62  % (7109)Memory used [KB]: 6524
% 1.79/0.62  % (7109)Time elapsed: 0.172 s
% 1.79/0.62  % (7109)Instructions burned: 39 (million)
% 1.79/0.62  % (7109)------------------------------
% 1.79/0.62  % (7109)------------------------------
% 1.79/0.62  % (7110)Instruction limit reached!
% 1.79/0.62  % (7110)------------------------------
% 1.79/0.62  % (7110)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.79/0.62  % (7110)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.79/0.62  % (7110)Termination reason: Unknown
% 1.79/0.62  % (7110)Termination phase: Saturation
% 1.79/0.62  
% 1.79/0.62  % (7110)Memory used [KB]: 6652
% 1.79/0.62  % (7110)Time elapsed: 0.237 s
% 1.79/0.62  % (7110)Instructions burned: 40 (million)
% 1.79/0.62  % (7110)------------------------------
% 1.79/0.62  % (7110)------------------------------
% 2.13/0.63  % (7111)Instruction limit reached!
% 2.13/0.63  % (7111)------------------------------
% 2.13/0.63  % (7111)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.13/0.63  % (7111)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.13/0.63  % (7111)Termination reason: Unknown
% 2.13/0.63  % (7111)Termination phase: Saturation
% 2.13/0.63  
% 2.13/0.63  % (7111)Memory used [KB]: 6908
% 2.13/0.63  % (7111)Time elapsed: 0.227 s
% 2.13/0.63  % (7111)Instructions burned: 51 (million)
% 2.13/0.63  % (7111)------------------------------
% 2.13/0.63  % (7111)------------------------------
% 2.13/0.63  % (7134)lrs+1010_1:1_afq=1.1:anc=none:bd=off:sd=2:sos=on:ss=axioms:i=92:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/92Mi)
% 2.13/0.63  % (7127)Instruction limit reached!
% 2.13/0.63  % (7127)------------------------------
% 2.13/0.63  % (7127)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.13/0.63  % (7127)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.13/0.63  % (7127)Termination reason: Unknown
% 2.13/0.63  % (7127)Termination phase: Saturation
% 2.13/0.63  
% 2.13/0.63  % (7127)Memory used [KB]: 6780
% 2.13/0.63  % (7127)Time elapsed: 0.232 s
% 2.13/0.63  % (7127)Instructions burned: 51 (million)
% 2.13/0.63  % (7127)------------------------------
% 2.13/0.63  % (7127)------------------------------
% 2.13/0.64  % (7136)lrs+11_1:1_bd=off:sd=2:sos=all:sp=unary_frequency:ss=axioms:i=87:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/87Mi)
% 2.13/0.64  % (7126)Instruction limit reached!
% 2.13/0.64  % (7126)------------------------------
% 2.13/0.64  % (7126)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.13/0.64  % (7126)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.13/0.64  % (7126)Termination reason: Unknown
% 2.13/0.64  % (7126)Termination phase: Saturation
% 2.13/0.64  
% 2.13/0.64  % (7126)Memory used [KB]: 2046
% 2.13/0.64  % (7126)Time elapsed: 0.229 s
% 2.13/0.64  % (7126)Instructions burned: 47 (million)
% 2.13/0.64  % (7126)------------------------------
% 2.13/0.64  % (7126)------------------------------
% 2.13/0.64  % (7135)lrs+1011_1:1_afp=100000:afq=1.4:bd=preordered:cond=fast:fde=unused:gs=on:gsem=on:irw=on:lma=on:nm=16:sd=1:sos=all:sp=const_min:ss=axioms:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/7Mi)
% 2.25/0.66  % (7140)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=141:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/141Mi)
% 2.25/0.67  % (7135)Instruction limit reached!
% 2.25/0.67  % (7135)------------------------------
% 2.25/0.67  % (7135)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.25/0.67  % (7135)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.25/0.67  % (7135)Termination reason: Unknown
% 2.25/0.67  % (7135)Termination phase: Saturation
% 2.25/0.67  
% 2.25/0.67  % (7135)Memory used [KB]: 10746
% 2.25/0.67  % (7135)Time elapsed: 0.117 s
% 2.25/0.67  % (7135)Instructions burned: 8 (million)
% 2.25/0.67  % (7135)------------------------------
% 2.25/0.67  % (7135)------------------------------
% 2.25/0.67  % (7141)dis+1011_1:16_fsr=off:nwc=2.0:i=42:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/42Mi)
% 2.25/0.68  % (7142)lrs+1010_1:1_ep=RS:sos=on:i=31:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/31Mi)
% 2.25/0.68  % (7137)ott+4_1:28_av=off:sos=all:i=69:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/69Mi)
% 2.25/0.68  % (7125)Instruction limit reached!
% 2.25/0.68  % (7125)------------------------------
% 2.25/0.68  % (7125)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.25/0.68  % (7125)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.25/0.68  % (7125)Termination reason: Unknown
% 2.25/0.68  % (7125)Termination phase: Saturation
% 2.25/0.68  
% 2.25/0.68  % (7125)Memory used [KB]: 8187
% 2.25/0.68  % (7125)Time elapsed: 0.206 s
% 2.25/0.68  % (7125)Instructions burned: 82 (million)
% 2.25/0.68  % (7125)------------------------------
% 2.25/0.68  % (7125)------------------------------
% 2.25/0.68  % (7139)lrs+1010_1:1_bd=off:skr=on:ss=axioms:i=56:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/56Mi)
% 2.25/0.69  % (7144)lrs+1010_1:4_amm=off:bce=on:sd=1:sos=on:ss=included:i=84:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/84Mi)
% 2.25/0.69  % (7138)dis+1011_1:1_av=off:er=known:fde=unused:nwc=10.0:slsq=on:slsqc=1:slsqr=4,15:i=107:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/107Mi)
% 2.25/0.69  % (7145)lrs+10_1:1_br=off:s2a=on:s2agt=8:ss=axioms:st=2.0:urr=on:i=131:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/131Mi)
% 2.25/0.69  % (7147)lrs+10_1:32_br=off:nm=16:sd=2:ss=axioms:st=2.0:urr=on:i=109:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/109Mi)
% 2.25/0.70  % (7143)lrs+1011_1:1_ep=RST:fs=off:fsr=off:s2a=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/68Mi)
% 2.25/0.70  % (7142)Refutation not found, incomplete strategy% (7142)------------------------------
% 2.25/0.70  % (7142)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.25/0.70  % (7142)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.25/0.70  % (7142)Termination reason: Refutation not found, incomplete strategy
% 2.25/0.70  
% 2.25/0.70  % (7142)Memory used [KB]: 6524
% 2.25/0.70  % (7142)Time elapsed: 0.127 s
% 2.25/0.70  % (7142)Instructions burned: 13 (million)
% 2.25/0.70  % (7142)------------------------------
% 2.25/0.70  % (7142)------------------------------
% 2.25/0.71  % (7148)dis+32_1:1_bd=off:nm=4:sos=on:ss=included:i=86:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/86Mi)
% 2.25/0.71  % (7146)lrs+21_1:16_gsp=on:lcm=reverse:sd=2:sp=frequency:spb=goal_then_units:ss=included:i=93:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/93Mi)
% 2.52/0.72  % (7128)Instruction limit reached!
% 2.52/0.72  % (7128)------------------------------
% 2.52/0.72  % (7128)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.52/0.72  % (7128)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.52/0.72  % (7128)Termination reason: Unknown
% 2.52/0.72  % (7128)Termination phase: Saturation
% 2.52/0.72  
% 2.52/0.72  % (7128)Memory used [KB]: 7419
% 2.52/0.72  % (7128)Time elapsed: 0.325 s
% 2.52/0.72  % (7128)Instructions burned: 95 (million)
% 2.52/0.72  % (7128)------------------------------
% 2.52/0.72  % (7128)------------------------------
% 2.52/0.72  % (7129)Instruction limit reached!
% 2.52/0.72  % (7129)------------------------------
% 2.52/0.72  % (7129)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.52/0.72  % (7129)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.52/0.72  % (7129)Termination reason: Unknown
% 2.52/0.72  % (7129)Termination phase: Saturation
% 2.52/0.72  
% 2.52/0.72  % (7129)Memory used [KB]: 7419
% 2.52/0.72  % (7129)Time elapsed: 0.314 s
% 2.52/0.72  % (7129)Instructions burned: 100 (million)
% 2.52/0.72  % (7129)------------------------------
% 2.52/0.72  % (7129)------------------------------
% 2.52/0.73  % (7149)lrs+4_1:1_fde=unused:sos=on:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/15Mi)
% 2.52/0.73  % (7124)Instruction limit reached!
% 2.52/0.73  % (7124)------------------------------
% 2.52/0.73  % (7124)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.52/0.73  % (7124)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.52/0.73  % (7124)Termination reason: Unknown
% 2.52/0.73  % (7124)Termination phase: Saturation
% 2.52/0.73  
% 2.52/0.73  % (7124)Memory used [KB]: 7931
% 2.52/0.73  % (7124)Time elapsed: 0.321 s
% 2.52/0.73  % (7124)Instructions burned: 99 (million)
% 2.52/0.73  % (7124)------------------------------
% 2.52/0.73  % (7124)------------------------------
% 2.52/0.74  % (7153)ott+10_4:7_awrs=converge:bd=preordered:flr=on:nwc=10.0:sos=on:sp=reverse_frequency:to=lpo:urr=on:i=19:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/19Mi)
% 2.52/0.74  % (7150)dis+1011_5:1_drc=off:kws=inv_arity_squared:nwc=5.0:plsq=on:plsqc=1:plsqr=32,1:s2a=on:s2at=2.1:urr=ec_only:i=32:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/32Mi)
% 2.52/0.75  % (7152)ott+10_1:1_ep=R:sd=1:sos=all:ss=axioms:i=66:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/66Mi)
% 2.52/0.75  % (7151)lrs+1002_1:32_ep=RS:ss=axioms:st=5.0:i=149:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/149Mi)
% 2.52/0.75  % (7149)Instruction limit reached!
% 2.52/0.75  % (7149)------------------------------
% 2.52/0.75  % (7149)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.52/0.75  % (7149)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.52/0.75  % (7149)Termination reason: Unknown
% 2.52/0.75  % (7149)Termination phase: Saturation
% 2.52/0.75  
% 2.52/0.75  % (7149)Memory used [KB]: 6524
% 2.52/0.75  % (7149)Time elapsed: 0.115 s
% 2.52/0.75  % (7149)Instructions burned: 15 (million)
% 2.52/0.75  % (7149)------------------------------
% 2.52/0.75  % (7149)------------------------------
% 2.52/0.75  % (7141)Instruction limit reached!
% 2.52/0.75  % (7141)------------------------------
% 2.52/0.75  % (7141)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.52/0.75  % (7141)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.52/0.75  % (7141)Termination reason: Unknown
% 2.52/0.75  % (7141)Termination phase: Saturation
% 2.52/0.75  
% 2.52/0.75  % (7141)Memory used [KB]: 7036
% 2.52/0.75  % (7141)Time elapsed: 0.172 s
% 2.52/0.75  % (7141)Instructions burned: 42 (million)
% 2.52/0.75  % (7141)------------------------------
% 2.52/0.75  % (7141)------------------------------
% 2.52/0.76  % (7156)lrs+10_1:1_bd=off:drc=off:lcm=reverse:nwc=5.0:sd=1:sgt=16:spb=goal_then_units:ss=axioms:to=lpo:i=10:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/10Mi)
% 2.52/0.76  % (7155)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=237:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/237Mi)
% 2.52/0.76  % (7157)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=472:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/472Mi)
% 2.73/0.77  % (7154)dis+1002_1:1_ins=1:sd=1:sos=on:ss=axioms:to=lpo:i=341:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/341Mi)
% 2.73/0.78  % (7156)Instruction limit reached!
% 2.73/0.78  % (7156)------------------------------
% 2.73/0.78  % (7156)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.73/0.78  % (7156)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.73/0.78  % (7156)Termination reason: Unknown
% 2.73/0.78  % (7156)Termination phase: Saturation
% 2.73/0.78  
% 2.73/0.78  % (7156)Memory used [KB]: 6268
% 2.73/0.78  % (7156)Time elapsed: 0.122 s
% 2.73/0.78  % (7156)Instructions burned: 11 (million)
% 2.73/0.78  % (7156)------------------------------
% 2.73/0.78  % (7156)------------------------------
% 2.73/0.78  % (7158)lrs+10_1:1024_nm=0:nwc=5.0:ss=axioms:i=21:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/21Mi)
% 2.73/0.79  % (7153)Instruction limit reached!
% 2.73/0.79  % (7153)------------------------------
% 2.73/0.79  % (7153)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.73/0.79  % (7153)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.73/0.79  % (7153)Termination reason: Unknown
% 2.73/0.79  % (7153)Termination phase: Saturation
% 2.73/0.79  
% 2.73/0.79  % (7153)Memory used [KB]: 6652
% 2.73/0.79  % (7153)Time elapsed: 0.011 s
% 2.73/0.79  % (7153)Instructions burned: 20 (million)
% 2.73/0.79  % (7153)------------------------------
% 2.73/0.79  % (7153)------------------------------
% 2.73/0.79  % (7139)Instruction limit reached!
% 2.73/0.79  % (7139)------------------------------
% 2.73/0.79  % (7139)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.73/0.79  % (7139)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.73/0.79  % (7139)Termination reason: Unknown
% 2.73/0.79  % (7139)Termination phase: Saturation
% 2.73/0.79  
% 2.73/0.79  % (7139)Memory used [KB]: 6908
% 2.73/0.79  % (7139)Time elapsed: 0.228 s
% 2.73/0.79  % (7139)Instructions burned: 57 (million)
% 2.73/0.79  % (7139)------------------------------
% 2.73/0.79  % (7139)------------------------------
% 2.73/0.80  % (7136)Instruction limit reached!
% 2.73/0.80  % (7136)------------------------------
% 2.73/0.80  % (7136)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.73/0.80  % (7136)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.73/0.80  % (7136)Termination reason: Unknown
% 2.73/0.80  % (7136)Termination phase: Saturation
% 2.73/0.80  
% 2.73/0.80  % (7136)Memory used [KB]: 7036
% 2.73/0.80  % (7136)Time elapsed: 0.253 s
% 2.73/0.80  % (7136)Instructions burned: 89 (million)
% 2.73/0.80  % (7136)------------------------------
% 2.73/0.80  % (7136)------------------------------
% 2.73/0.80  % (7137)Instruction limit reached!
% 2.73/0.80  % (7137)------------------------------
% 2.73/0.80  % (7137)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.73/0.80  % (7137)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.73/0.80  % (7137)Termination reason: Unknown
% 2.73/0.80  % (7137)Termination phase: Saturation
% 2.73/0.80  
% 2.73/0.80  % (7137)Memory used [KB]: 2942
% 2.73/0.80  % (7137)Time elapsed: 0.232 s
% 2.73/0.80  % (7137)Instructions burned: 70 (million)
% 2.73/0.80  % (7137)------------------------------
% 2.73/0.80  % (7137)------------------------------
% 2.73/0.81  % (7159)lrs+2_1:1_ep=R:fde=none:lcm=reverse:nwc=5.0:sos=on:i=97:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/97Mi)
% 2.73/0.81  % (7134)Instruction limit reached!
% 2.73/0.81  % (7134)------------------------------
% 2.73/0.81  % (7134)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.73/0.81  % (7134)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.73/0.81  % (7134)Termination reason: Unknown
% 2.73/0.81  % (7134)Termination phase: Saturation
% 2.73/0.81  
% 2.73/0.81  % (7134)Memory used [KB]: 7291
% 2.73/0.81  % (7134)Time elapsed: 0.260 s
% 2.73/0.81  % (7134)Instructions burned: 94 (million)
% 2.73/0.81  % (7134)------------------------------
% 2.73/0.81  % (7134)------------------------------
% 2.73/0.81  % (7143)Instruction limit reached!
% 2.73/0.81  % (7143)------------------------------
% 2.73/0.81  % (7143)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.73/0.81  % (7143)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.73/0.81  % (7143)Termination reason: Unknown
% 2.73/0.81  % (7143)Termination phase: Saturation
% 2.73/0.81  
% 2.73/0.81  % (7143)Memory used [KB]: 8187
% 2.73/0.81  % (7143)Time elapsed: 0.239 s
% 2.73/0.81  % (7143)Instructions burned: 70 (million)
% 2.73/0.81  % (7143)------------------------------
% 2.73/0.81  % (7143)------------------------------
% 2.73/0.81  % (7160)lrs+10_1:1_av=off:sd=2:sos=on:ss=axioms:st=1.5:i=21:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/21Mi)
% 2.73/0.82  % (7150)Instruction limit reached!
% 2.73/0.82  % (7150)------------------------------
% 2.73/0.82  % (7150)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.73/0.82  % (7150)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.73/0.82  % (7150)Termination reason: Unknown
% 2.73/0.82  % (7150)Termination phase: Saturation
% 2.73/0.82  
% 2.73/0.82  % (7150)Memory used [KB]: 6652
% 2.73/0.82  % (7150)Time elapsed: 0.167 s
% 2.73/0.82  % (7150)Instructions burned: 33 (million)
% 2.73/0.82  % (7150)------------------------------
% 2.73/0.82  % (7150)------------------------------
% 2.73/0.82  % (7159)Refutation not found, incomplete strategy% (7159)------------------------------
% 2.73/0.82  % (7159)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.73/0.82  % (7159)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.73/0.82  % (7159)Termination reason: Refutation not found, incomplete strategy
% 2.73/0.82  
% 2.73/0.82  % (7159)Memory used [KB]: 6524
% 2.73/0.82  % (7159)Time elapsed: 0.119 s
% 2.73/0.82  % (7159)Instructions burned: 13 (million)
% 2.73/0.82  % (7159)------------------------------
% 2.73/0.82  % (7159)------------------------------
% 2.73/0.83  % (7158)Instruction limit reached!
% 2.73/0.83  % (7158)------------------------------
% 2.73/0.83  % (7158)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.73/0.83  % (7158)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.73/0.83  % (7158)Termination reason: Unknown
% 2.73/0.83  % (7158)Termination phase: Saturation
% 2.73/0.83  
% 2.73/0.83  % (7158)Memory used [KB]: 6396
% 2.73/0.83  % (7158)Time elapsed: 0.155 s
% 2.73/0.83  % (7158)Instructions burned: 21 (million)
% 2.73/0.83  % (7158)------------------------------
% 2.73/0.83  % (7158)------------------------------
% 2.73/0.83  % (7147)Instruction limit reached!
% 2.73/0.83  % (7147)------------------------------
% 2.73/0.83  % (7147)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.73/0.83  % (7147)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.73/0.83  % (7147)Termination reason: Unknown
% 2.73/0.83  % (7147)Termination phase: Saturation
% 2.73/0.83  
% 2.73/0.83  % (7147)Memory used [KB]: 8827
% 2.73/0.83  % (7147)Time elapsed: 0.161 s
% 2.73/0.83  % (7147)Instructions burned: 109 (million)
% 2.73/0.83  % (7147)------------------------------
% 2.73/0.83  % (7147)------------------------------
% 2.73/0.84  % (7140)Instruction limit reached!
% 2.73/0.84  % (7140)------------------------------
% 2.73/0.84  % (7140)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.73/0.84  % (7140)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.73/0.84  % (7140)Termination reason: Unknown
% 2.73/0.84  % (7140)Termination phase: Saturation
% 2.73/0.84  
% 2.73/0.84  % (7140)Memory used [KB]: 9210
% 2.73/0.84  % (7140)Time elapsed: 0.202 s
% 2.73/0.84  % (7140)Instructions burned: 142 (million)
% 2.73/0.84  % (7140)------------------------------
% 2.73/0.84  % (7140)------------------------------
% 3.29/0.85  % (7161)dis+1011_1:1_nwc=3.0:sd=1:spb=goal_then_units:ss=included:to=lpo:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/138Mi)
% 3.29/0.85  % (7162)dis+10_1:1_newcnf=on:sgt=8:sos=on:ss=axioms:to=lpo:urr=on:i=393:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/393Mi)
% 3.29/0.85  % (7163)lrs+10_1:1_br=off:sos=on:ss=axioms:st=2.0:urr=on:i=488:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/488Mi)
% 3.29/0.86  % (7160)Instruction limit reached!
% 3.29/0.86  % (7160)------------------------------
% 3.29/0.86  % (7160)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.29/0.86  % (7160)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.29/0.86  % (7160)Termination reason: Unknown
% 3.29/0.86  % (7160)Termination phase: Saturation
% 3.29/0.86  
% 3.29/0.86  % (7160)Memory used [KB]: 1918
% 3.29/0.86  % (7160)Time elapsed: 0.147 s
% 3.29/0.86  % (7160)Instructions burned: 22 (million)
% 3.29/0.86  % (7160)------------------------------
% 3.29/0.86  % (7160)------------------------------
% 3.29/0.86  % (7138)Instruction limit reached!
% 3.29/0.86  % (7138)------------------------------
% 3.29/0.86  % (7138)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.29/0.86  % (7138)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.29/0.86  % (7138)Termination reason: Unknown
% 3.29/0.86  % (7138)Termination phase: Saturation
% 3.29/0.86  
% 3.29/0.86  % (7138)Memory used [KB]: 2558
% 3.29/0.86  % (7138)Time elapsed: 0.303 s
% 3.29/0.86  % (7138)Instructions burned: 107 (million)
% 3.29/0.86  % (7138)------------------------------
% 3.29/0.86  % (7138)------------------------------
% 3.29/0.87  % (7148)Instruction limit reached!
% 3.29/0.87  % (7148)------------------------------
% 3.29/0.87  % (7148)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.29/0.87  % (7148)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.29/0.87  % (7148)Termination reason: Unknown
% 3.29/0.87  % (7148)Termination phase: Saturation
% 3.29/0.87  
% 3.29/0.87  % (7148)Memory used [KB]: 7164
% 3.29/0.87  % (7148)Time elapsed: 0.257 s
% 3.29/0.87  % (7148)Instructions burned: 86 (million)
% 3.29/0.87  % (7148)------------------------------
% 3.29/0.87  % (7148)------------------------------
% 3.29/0.87  % (7164)dis+1004_1:1_br=off:fsd=on:urr=ec_only:i=93:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/93Mi)
% 3.29/0.87  % (7144)Instruction limit reached!
% 3.29/0.87  % (7144)------------------------------
% 3.29/0.87  % (7144)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.29/0.87  % (7144)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.29/0.87  % (7144)Termination reason: Unknown
% 3.29/0.87  % (7144)Termination phase: Saturation
% 3.29/0.87  
% 3.29/0.87  % (7144)Memory used [KB]: 7036
% 3.29/0.87  % (7144)Time elapsed: 0.284 s
% 3.29/0.87  % (7144)Instructions burned: 85 (million)
% 3.29/0.87  % (7144)------------------------------
% 3.29/0.87  % (7144)------------------------------
% 3.51/0.88  % (7146)Instruction limit reached!
% 3.51/0.88  % (7146)------------------------------
% 3.51/0.88  % (7146)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.51/0.88  % (7146)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.51/0.88  % (7146)Termination reason: Unknown
% 3.51/0.88  % (7146)Termination phase: Saturation
% 3.51/0.88  
% 3.51/0.88  % (7146)Memory used [KB]: 7164
% 3.51/0.88  % (7146)Time elapsed: 0.295 s
% 3.51/0.88  % (7146)Instructions burned: 93 (million)
% 3.51/0.88  % (7146)------------------------------
% 3.51/0.88  % (7146)------------------------------
% 3.51/0.88  % (7103)First to succeed.
% 3.51/0.88  % (7166)lrs+1010_1:1_sd=1:sos=on:sp=frequency:ss=included:to=lpo:i=221:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/221Mi)
% 3.51/0.88  % (7152)Instruction limit reached!
% 3.51/0.88  % (7152)------------------------------
% 3.51/0.88  % (7152)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.51/0.88  % (7152)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.51/0.88  % (7152)Termination reason: Unknown
% 3.51/0.88  % (7152)Termination phase: Saturation
% 3.51/0.88  
% 3.51/0.88  % (7152)Memory used [KB]: 7291
% 3.51/0.88  % (7152)Time elapsed: 0.230 s
% 3.51/0.88  % (7152)Instructions burned: 66 (million)
% 3.51/0.88  % (7152)------------------------------
% 3.51/0.88  % (7152)------------------------------
% 3.51/0.89  % (7165)lrs+10_1:8_ep=R:nwc=5.0:rnwc=on:sos=on:urr=on:i=23:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/23Mi)
% 3.51/0.91  % (7103)Refutation found. Thanks to Tanya!
% 3.51/0.91  % SZS status Theorem for theBenchmark
% 3.51/0.91  % SZS output start Proof for theBenchmark
% See solution above
% 3.51/0.91  % (7103)------------------------------
% 3.51/0.91  % (7103)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.51/0.91  % (7103)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.51/0.91  % (7103)Termination reason: Refutation
% 3.51/0.91  
% 3.51/0.91  % (7103)Memory used [KB]: 8443
% 3.51/0.91  % (7103)Time elapsed: 0.468 s
% 3.51/0.91  % (7103)Instructions burned: 189 (million)
% 3.51/0.91  % (7103)------------------------------
% 3.51/0.91  % (7103)------------------------------
% 3.51/0.91  % (7102)Success in time 0.569 s
%------------------------------------------------------------------------------