TSTP Solution File: SWC297+1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SWC297+1 : TPTP v8.2.0. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s

% Computer : n016.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Tue May 21 04:37:55 EDT 2024

% Result   : Theorem 1.40s 0.99s
% Output   : Refutation 1.40s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   30
%            Number of leaves      :   69
% Syntax   : Number of formulae    :  362 (  27 unt;   0 def)
%            Number of atoms       : 1596 ( 355 equ)
%            Maximal formula atoms :   42 (   4 avg)
%            Number of connectives : 2000 ( 766   ~; 807   |; 309   &)
%                                         (  35 <=>;  83  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   25 (   5 avg)
%            Maximal term depth    :    5 (   1 avg)
%            Number of predicates  :   38 (  36 usr;  27 prp; 0-2 aty)
%            Number of functors    :   24 (  24 usr;  14 con; 0-2 aty)
%            Number of variables   :  360 ( 229   !; 131   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f5288,plain,
    $false,
    inference(avatar_sat_refutation,[],[f642,f647,f656,f676,f855,f898,f902,f970,f1038,f1315,f1337,f1340,f1345,f2785,f2985,f3074,f3128,f3452,f3545,f3852,f3853,f3856,f3986,f4068,f4253,f4302,f5250,f5282]) ).

fof(f5282,plain,
    ( spl80_9
    | ~ spl80_10
    | ~ spl80_58
    | ~ spl80_66 ),
    inference(avatar_contradiction_clause,[],[f5281]) ).

fof(f5281,plain,
    ( $false
    | spl80_9
    | ~ spl80_10
    | ~ spl80_58
    | ~ spl80_66 ),
    inference(subsumption_resolution,[],[f5254,f4254]) ).

fof(f4254,plain,
    ( ~ memberP(nil,sK61)
    | spl80_9
    | ~ spl80_58 ),
    inference(forward_demodulation,[],[f668,f1310]) ).

fof(f1310,plain,
    ( nil = sK59
    | ~ spl80_58 ),
    inference(avatar_component_clause,[],[f1308]) ).

fof(f1308,plain,
    ( spl80_58
  <=> nil = sK59 ),
    introduced(avatar_definition,[new_symbols(naming,[spl80_58])]) ).

fof(f668,plain,
    ( ~ memberP(sK59,sK61)
    | spl80_9 ),
    inference(avatar_component_clause,[],[f667]) ).

fof(f667,plain,
    ( spl80_9
  <=> memberP(sK59,sK61) ),
    introduced(avatar_definition,[new_symbols(naming,[spl80_9])]) ).

fof(f5254,plain,
    ( memberP(nil,sK61)
    | ~ spl80_10
    | ~ spl80_66 ),
    inference(backward_demodulation,[],[f674,f1501]) ).

fof(f1501,plain,
    ( nil = sK60
    | ~ spl80_66 ),
    inference(avatar_component_clause,[],[f1499]) ).

fof(f1499,plain,
    ( spl80_66
  <=> nil = sK60 ),
    introduced(avatar_definition,[new_symbols(naming,[spl80_66])]) ).

fof(f674,plain,
    ( memberP(sK60,sK61)
    | ~ spl80_10 ),
    inference(avatar_component_clause,[],[f672]) ).

fof(f672,plain,
    ( spl80_10
  <=> memberP(sK60,sK61) ),
    introduced(avatar_definition,[new_symbols(naming,[spl80_10])]) ).

fof(f5250,plain,
    ( spl80_66
    | ~ spl80_3
    | ~ spl80_4
    | spl80_5
    | ~ spl80_20
    | spl80_62
    | ~ spl80_127 ),
    inference(avatar_split_clause,[],[f5249,f2527,f1407,f793,f649,f644,f639,f1499]) ).

fof(f639,plain,
    ( spl80_3
  <=> sK55 = sF76 ),
    introduced(avatar_definition,[new_symbols(naming,[spl80_3])]) ).

fof(f644,plain,
    ( spl80_4
  <=> ssItem(sK57) ),
    introduced(avatar_definition,[new_symbols(naming,[spl80_4])]) ).

fof(f649,plain,
    ( spl80_5
  <=> nil = sK55 ),
    introduced(avatar_definition,[new_symbols(naming,[spl80_5])]) ).

fof(f793,plain,
    ( spl80_20
  <=> ssList(sF77) ),
    introduced(avatar_definition,[new_symbols(naming,[spl80_20])]) ).

fof(f1407,plain,
    ( spl80_62
  <=> nil = sF78 ),
    introduced(avatar_definition,[new_symbols(naming,[spl80_62])]) ).

fof(f2527,plain,
    ( spl80_127
  <=> sF77 = sF78 ),
    introduced(avatar_definition,[new_symbols(naming,[spl80_127])]) ).

fof(f5249,plain,
    ( nil = sK60
    | ~ spl80_3
    | ~ spl80_4
    | spl80_5
    | ~ spl80_20
    | spl80_62
    | ~ spl80_127 ),
    inference(subsumption_resolution,[],[f5248,f446]) ).

fof(f446,plain,
    ssList(nil),
    inference(cnf_transformation,[],[f17]) ).

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

fof(f5248,plain,
    ( nil = sK60
    | ~ ssList(nil)
    | ~ spl80_3
    | ~ spl80_4
    | spl80_5
    | ~ spl80_20
    | spl80_62
    | ~ spl80_127 ),
    inference(subsumption_resolution,[],[f5247,f561]) ).

fof(f561,plain,
    ssList(sK60),
    inference(cnf_transformation,[],[f353]) ).

fof(f353,plain,
    ( ( ~ neq(sK56,nil)
      | ( memberP(sK56,sK57)
        & sK55 = cons(sK57,nil)
        & ssItem(sK57) ) )
    & ( nil != sK56
      | nil = sK55 )
    & ( ( ~ lt(sK58,sK61)
        & memberP(sK60,sK61) )
      | ( ~ lt(sK61,sK58)
        & memberP(sK59,sK61) ) )
    & ssItem(sK61)
    & sK53 = app(app(sK59,cons(sK58,nil)),sK60)
    & ssList(sK60)
    & ssList(sK59)
    & ssItem(sK58)
    & sK53 = sK55
    & sK54 = sK56
    & ssList(sK56)
    & ssList(sK55)
    & ssList(sK54)
    & ssList(sK53) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK53,sK54,sK55,sK56,sK57,sK58,sK59,sK60,sK61])],[f223,f352,f351,f350,f349,f348,f347,f346,f345,f344]) ).

fof(f344,plain,
    ( ? [X0] :
        ( ? [X1] :
            ( ? [X2] :
                ( ? [X3] :
                    ( ( ~ neq(X3,nil)
                      | ? [X4] :
                          ( memberP(X3,X4)
                          & cons(X4,nil) = X2
                          & ssItem(X4) ) )
                    & ( nil != X3
                      | nil = X2 )
                    & ? [X5] :
                        ( ? [X6] :
                            ( ? [X7] :
                                ( ? [X8] :
                                    ( ( ( ~ lt(X5,X8)
                                        & memberP(X7,X8) )
                                      | ( ~ lt(X8,X5)
                                        & memberP(X6,X8) ) )
                                    & ssItem(X8) )
                                & app(app(X6,cons(X5,nil)),X7) = X0
                                & ssList(X7) )
                            & ssList(X6) )
                        & ssItem(X5) )
                    & X0 = X2
                    & X1 = X3
                    & ssList(X3) )
                & ssList(X2) )
            & ssList(X1) )
        & ssList(X0) )
   => ( ? [X1] :
          ( ? [X2] :
              ( ? [X3] :
                  ( ( ~ neq(X3,nil)
                    | ? [X4] :
                        ( memberP(X3,X4)
                        & cons(X4,nil) = X2
                        & ssItem(X4) ) )
                  & ( nil != X3
                    | nil = X2 )
                  & ? [X5] :
                      ( ? [X6] :
                          ( ? [X7] :
                              ( ? [X8] :
                                  ( ( ( ~ lt(X5,X8)
                                      & memberP(X7,X8) )
                                    | ( ~ lt(X8,X5)
                                      & memberP(X6,X8) ) )
                                  & ssItem(X8) )
                              & app(app(X6,cons(X5,nil)),X7) = sK53
                              & ssList(X7) )
                          & ssList(X6) )
                      & ssItem(X5) )
                  & sK53 = X2
                  & X1 = X3
                  & ssList(X3) )
              & ssList(X2) )
          & ssList(X1) )
      & ssList(sK53) ) ),
    introduced(choice_axiom,[]) ).

fof(f345,plain,
    ( ? [X1] :
        ( ? [X2] :
            ( ? [X3] :
                ( ( ~ neq(X3,nil)
                  | ? [X4] :
                      ( memberP(X3,X4)
                      & cons(X4,nil) = X2
                      & ssItem(X4) ) )
                & ( nil != X3
                  | nil = X2 )
                & ? [X5] :
                    ( ? [X6] :
                        ( ? [X7] :
                            ( ? [X8] :
                                ( ( ( ~ lt(X5,X8)
                                    & memberP(X7,X8) )
                                  | ( ~ lt(X8,X5)
                                    & memberP(X6,X8) ) )
                                & ssItem(X8) )
                            & app(app(X6,cons(X5,nil)),X7) = sK53
                            & ssList(X7) )
                        & ssList(X6) )
                    & ssItem(X5) )
                & sK53 = X2
                & X1 = X3
                & ssList(X3) )
            & ssList(X2) )
        & ssList(X1) )
   => ( ? [X2] :
          ( ? [X3] :
              ( ( ~ neq(X3,nil)
                | ? [X4] :
                    ( memberP(X3,X4)
                    & cons(X4,nil) = X2
                    & ssItem(X4) ) )
              & ( nil != X3
                | nil = X2 )
              & ? [X5] :
                  ( ? [X6] :
                      ( ? [X7] :
                          ( ? [X8] :
                              ( ( ( ~ lt(X5,X8)
                                  & memberP(X7,X8) )
                                | ( ~ lt(X8,X5)
                                  & memberP(X6,X8) ) )
                              & ssItem(X8) )
                          & app(app(X6,cons(X5,nil)),X7) = sK53
                          & ssList(X7) )
                      & ssList(X6) )
                  & ssItem(X5) )
              & sK53 = X2
              & sK54 = X3
              & ssList(X3) )
          & ssList(X2) )
      & ssList(sK54) ) ),
    introduced(choice_axiom,[]) ).

fof(f346,plain,
    ( ? [X2] :
        ( ? [X3] :
            ( ( ~ neq(X3,nil)
              | ? [X4] :
                  ( memberP(X3,X4)
                  & cons(X4,nil) = X2
                  & ssItem(X4) ) )
            & ( nil != X3
              | nil = X2 )
            & ? [X5] :
                ( ? [X6] :
                    ( ? [X7] :
                        ( ? [X8] :
                            ( ( ( ~ lt(X5,X8)
                                & memberP(X7,X8) )
                              | ( ~ lt(X8,X5)
                                & memberP(X6,X8) ) )
                            & ssItem(X8) )
                        & app(app(X6,cons(X5,nil)),X7) = sK53
                        & ssList(X7) )
                    & ssList(X6) )
                & ssItem(X5) )
            & sK53 = X2
            & sK54 = X3
            & ssList(X3) )
        & ssList(X2) )
   => ( ? [X3] :
          ( ( ~ neq(X3,nil)
            | ? [X4] :
                ( memberP(X3,X4)
                & cons(X4,nil) = sK55
                & ssItem(X4) ) )
          & ( nil != X3
            | nil = sK55 )
          & ? [X5] :
              ( ? [X6] :
                  ( ? [X7] :
                      ( ? [X8] :
                          ( ( ( ~ lt(X5,X8)
                              & memberP(X7,X8) )
                            | ( ~ lt(X8,X5)
                              & memberP(X6,X8) ) )
                          & ssItem(X8) )
                      & app(app(X6,cons(X5,nil)),X7) = sK53
                      & ssList(X7) )
                  & ssList(X6) )
              & ssItem(X5) )
          & sK53 = sK55
          & sK54 = X3
          & ssList(X3) )
      & ssList(sK55) ) ),
    introduced(choice_axiom,[]) ).

fof(f347,plain,
    ( ? [X3] :
        ( ( ~ neq(X3,nil)
          | ? [X4] :
              ( memberP(X3,X4)
              & cons(X4,nil) = sK55
              & ssItem(X4) ) )
        & ( nil != X3
          | nil = sK55 )
        & ? [X5] :
            ( ? [X6] :
                ( ? [X7] :
                    ( ? [X8] :
                        ( ( ( ~ lt(X5,X8)
                            & memberP(X7,X8) )
                          | ( ~ lt(X8,X5)
                            & memberP(X6,X8) ) )
                        & ssItem(X8) )
                    & app(app(X6,cons(X5,nil)),X7) = sK53
                    & ssList(X7) )
                & ssList(X6) )
            & ssItem(X5) )
        & sK53 = sK55
        & sK54 = X3
        & ssList(X3) )
   => ( ( ~ neq(sK56,nil)
        | ? [X4] :
            ( memberP(sK56,X4)
            & cons(X4,nil) = sK55
            & ssItem(X4) ) )
      & ( nil != sK56
        | nil = sK55 )
      & ? [X5] :
          ( ? [X6] :
              ( ? [X7] :
                  ( ? [X8] :
                      ( ( ( ~ lt(X5,X8)
                          & memberP(X7,X8) )
                        | ( ~ lt(X8,X5)
                          & memberP(X6,X8) ) )
                      & ssItem(X8) )
                  & app(app(X6,cons(X5,nil)),X7) = sK53
                  & ssList(X7) )
              & ssList(X6) )
          & ssItem(X5) )
      & sK53 = sK55
      & sK54 = sK56
      & ssList(sK56) ) ),
    introduced(choice_axiom,[]) ).

fof(f348,plain,
    ( ? [X4] :
        ( memberP(sK56,X4)
        & cons(X4,nil) = sK55
        & ssItem(X4) )
   => ( memberP(sK56,sK57)
      & sK55 = cons(sK57,nil)
      & ssItem(sK57) ) ),
    introduced(choice_axiom,[]) ).

fof(f349,plain,
    ( ? [X5] :
        ( ? [X6] :
            ( ? [X7] :
                ( ? [X8] :
                    ( ( ( ~ lt(X5,X8)
                        & memberP(X7,X8) )
                      | ( ~ lt(X8,X5)
                        & memberP(X6,X8) ) )
                    & ssItem(X8) )
                & app(app(X6,cons(X5,nil)),X7) = sK53
                & ssList(X7) )
            & ssList(X6) )
        & ssItem(X5) )
   => ( ? [X6] :
          ( ? [X7] :
              ( ? [X8] :
                  ( ( ( ~ lt(sK58,X8)
                      & memberP(X7,X8) )
                    | ( ~ lt(X8,sK58)
                      & memberP(X6,X8) ) )
                  & ssItem(X8) )
              & sK53 = app(app(X6,cons(sK58,nil)),X7)
              & ssList(X7) )
          & ssList(X6) )
      & ssItem(sK58) ) ),
    introduced(choice_axiom,[]) ).

fof(f350,plain,
    ( ? [X6] :
        ( ? [X7] :
            ( ? [X8] :
                ( ( ( ~ lt(sK58,X8)
                    & memberP(X7,X8) )
                  | ( ~ lt(X8,sK58)
                    & memberP(X6,X8) ) )
                & ssItem(X8) )
            & sK53 = app(app(X6,cons(sK58,nil)),X7)
            & ssList(X7) )
        & ssList(X6) )
   => ( ? [X7] :
          ( ? [X8] :
              ( ( ( ~ lt(sK58,X8)
                  & memberP(X7,X8) )
                | ( ~ lt(X8,sK58)
                  & memberP(sK59,X8) ) )
              & ssItem(X8) )
          & sK53 = app(app(sK59,cons(sK58,nil)),X7)
          & ssList(X7) )
      & ssList(sK59) ) ),
    introduced(choice_axiom,[]) ).

fof(f351,plain,
    ( ? [X7] :
        ( ? [X8] :
            ( ( ( ~ lt(sK58,X8)
                & memberP(X7,X8) )
              | ( ~ lt(X8,sK58)
                & memberP(sK59,X8) ) )
            & ssItem(X8) )
        & sK53 = app(app(sK59,cons(sK58,nil)),X7)
        & ssList(X7) )
   => ( ? [X8] :
          ( ( ( ~ lt(sK58,X8)
              & memberP(sK60,X8) )
            | ( ~ lt(X8,sK58)
              & memberP(sK59,X8) ) )
          & ssItem(X8) )
      & sK53 = app(app(sK59,cons(sK58,nil)),sK60)
      & ssList(sK60) ) ),
    introduced(choice_axiom,[]) ).

fof(f352,plain,
    ( ? [X8] :
        ( ( ( ~ lt(sK58,X8)
            & memberP(sK60,X8) )
          | ( ~ lt(X8,sK58)
            & memberP(sK59,X8) ) )
        & ssItem(X8) )
   => ( ( ( ~ lt(sK58,sK61)
          & memberP(sK60,sK61) )
        | ( ~ lt(sK61,sK58)
          & memberP(sK59,sK61) ) )
      & ssItem(sK61) ) ),
    introduced(choice_axiom,[]) ).

fof(f223,plain,
    ? [X0] :
      ( ? [X1] :
          ( ? [X2] :
              ( ? [X3] :
                  ( ( ~ neq(X3,nil)
                    | ? [X4] :
                        ( memberP(X3,X4)
                        & cons(X4,nil) = X2
                        & ssItem(X4) ) )
                  & ( nil != X3
                    | nil = X2 )
                  & ? [X5] :
                      ( ? [X6] :
                          ( ? [X7] :
                              ( ? [X8] :
                                  ( ( ( ~ lt(X5,X8)
                                      & memberP(X7,X8) )
                                    | ( ~ lt(X8,X5)
                                      & memberP(X6,X8) ) )
                                  & ssItem(X8) )
                              & app(app(X6,cons(X5,nil)),X7) = X0
                              & ssList(X7) )
                          & ssList(X6) )
                      & ssItem(X5) )
                  & X0 = X2
                  & X1 = X3
                  & ssList(X3) )
              & ssList(X2) )
          & ssList(X1) )
      & ssList(X0) ),
    inference(flattening,[],[f222]) ).

fof(f222,plain,
    ? [X0] :
      ( ? [X1] :
          ( ? [X2] :
              ( ? [X3] :
                  ( ( ~ neq(X3,nil)
                    | ? [X4] :
                        ( memberP(X3,X4)
                        & cons(X4,nil) = X2
                        & ssItem(X4) ) )
                  & ( nil != X3
                    | nil = X2 )
                  & ? [X5] :
                      ( ? [X6] :
                          ( ? [X7] :
                              ( ? [X8] :
                                  ( ( ( ~ lt(X5,X8)
                                      & memberP(X7,X8) )
                                    | ( ~ lt(X8,X5)
                                      & memberP(X6,X8) ) )
                                  & ssItem(X8) )
                              & app(app(X6,cons(X5,nil)),X7) = X0
                              & ssList(X7) )
                          & ssList(X6) )
                      & ssItem(X5) )
                  & X0 = X2
                  & X1 = X3
                  & ssList(X3) )
              & ssList(X2) )
          & ssList(X1) )
      & ssList(X0) ),
    inference(ennf_transformation,[],[f98]) ).

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

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

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

fof(f5247,plain,
    ( nil = sK60
    | ~ ssList(sK60)
    | ~ ssList(nil)
    | ~ spl80_3
    | ~ spl80_4
    | spl80_5
    | ~ spl80_20
    | spl80_62
    | ~ spl80_127 ),
    inference(subsumption_resolution,[],[f5231,f595]) ).

fof(f595,plain,
    ~ sP74(nil),
    introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP74])]) ).

fof(f5231,plain,
    ( sP74(nil)
    | nil = sK60
    | ~ ssList(sK60)
    | ~ ssList(nil)
    | ~ spl80_3
    | ~ spl80_4
    | spl80_5
    | ~ spl80_20
    | spl80_62
    | ~ spl80_127 ),
    inference(superposition,[],[f596,f5165]) ).

fof(f5165,plain,
    ( nil = app(nil,sK60)
    | ~ spl80_3
    | ~ spl80_4
    | spl80_5
    | ~ spl80_20
    | spl80_62
    | ~ spl80_127 ),
    inference(forward_demodulation,[],[f5164,f1469]) ).

fof(f1469,plain,
    ( nil = tl(sK55)
    | ~ spl80_3
    | ~ spl80_4 ),
    inference(subsumption_resolution,[],[f1468,f446]) ).

fof(f1468,plain,
    ( nil = tl(sK55)
    | ~ ssList(nil)
    | ~ spl80_3
    | ~ spl80_4 ),
    inference(subsumption_resolution,[],[f1434,f646]) ).

fof(f646,plain,
    ( ssItem(sK57)
    | ~ spl80_4 ),
    inference(avatar_component_clause,[],[f644]) ).

fof(f1434,plain,
    ( nil = tl(sK55)
    | ~ ssItem(sK57)
    | ~ ssList(nil)
    | ~ spl80_3 ),
    inference(superposition,[],[f457,f1348]) ).

fof(f1348,plain,
    ( sK55 = cons(sK57,nil)
    | ~ spl80_3 ),
    inference(forward_demodulation,[],[f617,f641]) ).

fof(f641,plain,
    ( sK55 = sF76
    | ~ spl80_3 ),
    inference(avatar_component_clause,[],[f639]) ).

fof(f617,plain,
    cons(sK57,nil) = sF76,
    introduced(function_definition,[new_symbols(definition,[sF76])]) ).

fof(f457,plain,
    ! [X0,X1] :
      ( tl(cons(X1,X0)) = X0
      | ~ ssItem(X1)
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f132]) ).

fof(f132,plain,
    ! [X0] :
      ( ! [X1] :
          ( tl(cons(X1,X0)) = X0
          | ~ ssItem(X1) )
      | ~ ssList(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(f5164,plain,
    ( tl(sK55) = app(tl(sK55),sK60)
    | ~ spl80_3
    | ~ spl80_4
    | spl80_5
    | ~ spl80_20
    | spl80_62
    | ~ spl80_127 ),
    inference(subsumption_resolution,[],[f5163,f555]) ).

fof(f555,plain,
    ssList(sK55),
    inference(cnf_transformation,[],[f353]) ).

fof(f5163,plain,
    ( tl(sK55) = app(tl(sK55),sK60)
    | ~ ssList(sK55)
    | ~ spl80_3
    | ~ spl80_4
    | spl80_5
    | ~ spl80_20
    | spl80_62
    | ~ spl80_127 ),
    inference(subsumption_resolution,[],[f5162,f561]) ).

fof(f5162,plain,
    ( tl(sK55) = app(tl(sK55),sK60)
    | ~ ssList(sK60)
    | ~ ssList(sK55)
    | ~ spl80_3
    | ~ spl80_4
    | spl80_5
    | ~ spl80_20
    | spl80_62
    | ~ spl80_127 ),
    inference(subsumption_resolution,[],[f5156,f650]) ).

fof(f650,plain,
    ( nil != sK55
    | spl80_5 ),
    inference(avatar_component_clause,[],[f649]) ).

fof(f5156,plain,
    ( tl(sK55) = app(tl(sK55),sK60)
    | nil = sK55
    | ~ ssList(sK60)
    | ~ ssList(sK55)
    | ~ spl80_3
    | ~ spl80_4
    | ~ spl80_20
    | spl80_62
    | ~ spl80_127 ),
    inference(superposition,[],[f541,f4707]) ).

fof(f4707,plain,
    ( sK55 = app(sK55,sK60)
    | ~ spl80_3
    | ~ spl80_4
    | ~ spl80_20
    | spl80_62
    | ~ spl80_127 ),
    inference(backward_demodulation,[],[f4303,f4540]) ).

fof(f4540,plain,
    ( sK55 = sF77
    | ~ spl80_3
    | ~ spl80_4
    | ~ spl80_20
    | spl80_62
    | ~ spl80_127 ),
    inference(forward_demodulation,[],[f4429,f619]) ).

fof(f619,plain,
    cons(sK58,nil) = sF77,
    introduced(function_definition,[new_symbols(definition,[sF77])]) ).

fof(f4429,plain,
    ( sK55 = cons(sK58,nil)
    | ~ spl80_3
    | ~ spl80_4
    | ~ spl80_20
    | spl80_62
    | ~ spl80_127 ),
    inference(backward_demodulation,[],[f1348,f4422]) ).

fof(f4422,plain,
    ( sK57 = sK58
    | ~ spl80_3
    | ~ spl80_4
    | ~ spl80_20
    | spl80_62
    | ~ spl80_127 ),
    inference(forward_demodulation,[],[f4377,f1112]) ).

fof(f1112,plain,
    sK58 = hd(sF77),
    inference(subsumption_resolution,[],[f1111,f446]) ).

fof(f1111,plain,
    ( sK58 = hd(sF77)
    | ~ ssList(nil) ),
    inference(subsumption_resolution,[],[f1108,f559]) ).

fof(f559,plain,
    ssItem(sK58),
    inference(cnf_transformation,[],[f353]) ).

fof(f1108,plain,
    ( sK58 = hd(sF77)
    | ~ ssItem(sK58)
    | ~ ssList(nil) ),
    inference(superposition,[],[f455,f619]) ).

fof(f455,plain,
    ! [X0,X1] :
      ( hd(cons(X1,X0)) = X1
      | ~ ssItem(X1)
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f129]) ).

fof(f129,plain,
    ! [X0] :
      ( ! [X1] :
          ( hd(cons(X1,X0)) = X1
          | ~ ssItem(X1) )
      | ~ ssList(X0) ),
    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(f4377,plain,
    ( sK57 = hd(sF77)
    | ~ spl80_3
    | ~ spl80_4
    | ~ spl80_20
    | spl80_62
    | ~ spl80_127 ),
    inference(backward_demodulation,[],[f4081,f2529]) ).

fof(f2529,plain,
    ( sF77 = sF78
    | ~ spl80_127 ),
    inference(avatar_component_clause,[],[f2527]) ).

fof(f4081,plain,
    ( sK57 = hd(sF78)
    | ~ spl80_3
    | ~ spl80_4
    | ~ spl80_20
    | spl80_62 ),
    inference(forward_demodulation,[],[f3268,f1467]) ).

fof(f1467,plain,
    ( sK57 = hd(sK55)
    | ~ spl80_3
    | ~ spl80_4 ),
    inference(subsumption_resolution,[],[f1466,f446]) ).

fof(f1466,plain,
    ( sK57 = hd(sK55)
    | ~ ssList(nil)
    | ~ spl80_3
    | ~ spl80_4 ),
    inference(subsumption_resolution,[],[f1433,f646]) ).

fof(f1433,plain,
    ( sK57 = hd(sK55)
    | ~ ssItem(sK57)
    | ~ ssList(nil)
    | ~ spl80_3 ),
    inference(superposition,[],[f455,f1348]) ).

fof(f3268,plain,
    ( hd(sK55) = hd(sF78)
    | ~ spl80_20
    | spl80_62 ),
    inference(subsumption_resolution,[],[f3267,f900]) ).

fof(f900,plain,
    ( ssList(sF78)
    | ~ spl80_20 ),
    inference(subsumption_resolution,[],[f899,f560]) ).

fof(f560,plain,
    ssList(sK59),
    inference(cnf_transformation,[],[f353]) ).

fof(f899,plain,
    ( ssList(sF78)
    | ~ ssList(sK59)
    | ~ spl80_20 ),
    inference(subsumption_resolution,[],[f887,f794]) ).

fof(f794,plain,
    ( ssList(sF77)
    | ~ spl80_20 ),
    inference(avatar_component_clause,[],[f793]) ).

fof(f887,plain,
    ( ssList(sF78)
    | ~ ssList(sF77)
    | ~ ssList(sK59) ),
    inference(superposition,[],[f458,f620]) ).

fof(f620,plain,
    app(sK59,sF77) = sF78,
    introduced(function_definition,[new_symbols(definition,[sF78])]) ).

fof(f458,plain,
    ! [X0,X1] :
      ( ssList(app(X0,X1))
      | ~ ssList(X1)
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f133]) ).

fof(f133,plain,
    ! [X0] :
      ( ! [X1] :
          ( ssList(app(X0,X1))
          | ~ ssList(X1) )
      | ~ ssList(X0) ),
    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(f3267,plain,
    ( hd(sK55) = hd(sF78)
    | ~ ssList(sF78)
    | spl80_62 ),
    inference(subsumption_resolution,[],[f3266,f561]) ).

fof(f3266,plain,
    ( hd(sK55) = hd(sF78)
    | ~ ssList(sK60)
    | ~ ssList(sF78)
    | spl80_62 ),
    inference(subsumption_resolution,[],[f3261,f1408]) ).

fof(f1408,plain,
    ( nil != sF78
    | spl80_62 ),
    inference(avatar_component_clause,[],[f1407]) ).

fof(f3261,plain,
    ( hd(sK55) = hd(sF78)
    | nil = sF78
    | ~ ssList(sK60)
    | ~ ssList(sF78) ),
    inference(superposition,[],[f540,f678]) ).

fof(f678,plain,
    sK55 = app(sF78,sK60),
    inference(backward_demodulation,[],[f621,f677]) ).

fof(f677,plain,
    sK55 = sF79,
    inference(forward_demodulation,[],[f622,f558]) ).

fof(f558,plain,
    sK53 = sK55,
    inference(cnf_transformation,[],[f353]) ).

fof(f622,plain,
    sK53 = sF79,
    inference(definition_folding,[],[f562,f621,f620,f619]) ).

fof(f562,plain,
    sK53 = app(app(sK59,cons(sK58,nil)),sK60),
    inference(cnf_transformation,[],[f353]) ).

fof(f621,plain,
    app(sF78,sK60) = sF79,
    introduced(function_definition,[new_symbols(definition,[sF79])]) ).

fof(f540,plain,
    ! [X0,X1] :
      ( hd(X0) = hd(app(X0,X1))
      | nil = X0
      | ~ ssList(X1)
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f204]) ).

fof(f204,plain,
    ! [X0] :
      ( ! [X1] :
          ( hd(X0) = hd(app(X0,X1))
          | nil = X0
          | ~ ssList(X1) )
      | ~ ssList(X0) ),
    inference(flattening,[],[f203]) ).

fof(f203,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(f4303,plain,
    ( sK55 = app(sF77,sK60)
    | ~ spl80_127 ),
    inference(backward_demodulation,[],[f678,f2529]) ).

fof(f541,plain,
    ! [X0,X1] :
      ( tl(app(X0,X1)) = app(tl(X0),X1)
      | nil = X0
      | ~ ssList(X1)
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f206]) ).

fof(f206,plain,
    ! [X0] :
      ( ! [X1] :
          ( tl(app(X0,X1)) = app(tl(X0),X1)
          | nil = X0
          | ~ ssList(X1) )
      | ~ ssList(X0) ),
    inference(flattening,[],[f205]) ).

fof(f205,plain,
    ! [X0] :
      ( ! [X1] :
          ( tl(app(X0,X1)) = app(tl(X0),X1)
          | nil = X0
          | ~ ssList(X1) )
      | ~ ssList(X0) ),
    inference(ennf_transformation,[],[f86]) ).

fof(f86,axiom,
    ! [X0] :
      ( ssList(X0)
     => ! [X1] :
          ( ssList(X1)
         => ( nil != X0
           => tl(app(X0,X1)) = app(tl(X0),X1) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax86) ).

fof(f596,plain,
    ! [X0,X1] :
      ( sP74(app(X0,X1))
      | nil = X1
      | ~ ssList(X1)
      | ~ ssList(X0) ),
    inference(inequality_splitting,[],[f536,f595]) ).

fof(f536,plain,
    ! [X0,X1] :
      ( nil = X1
      | nil != app(X0,X1)
      | ~ ssList(X1)
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f341]) ).

fof(f341,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( ( nil = app(X0,X1)
              | nil != X0
              | nil != X1 )
            & ( ( nil = X0
                & nil = X1 )
              | nil != app(X0,X1) ) )
          | ~ ssList(X1) )
      | ~ ssList(X0) ),
    inference(flattening,[],[f340]) ).

fof(f340,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( ( nil = app(X0,X1)
              | nil != X0
              | nil != X1 )
            & ( ( nil = X0
                & nil = X1 )
              | nil != app(X0,X1) ) )
          | ~ ssList(X1) )
      | ~ ssList(X0) ),
    inference(nnf_transformation,[],[f201]) ).

fof(f201,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( nil = app(X0,X1)
          <=> ( nil = X0
              & nil = X1 ) )
          | ~ ssList(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(f4302,plain,
    ( spl80_127
    | ~ spl80_20
    | ~ spl80_58 ),
    inference(avatar_split_clause,[],[f4301,f1308,f793,f2527]) ).

fof(f4301,plain,
    ( sF77 = sF78
    | ~ spl80_20
    | ~ spl80_58 ),
    inference(subsumption_resolution,[],[f4285,f794]) ).

fof(f4285,plain,
    ( sF77 = sF78
    | ~ ssList(sF77)
    | ~ spl80_58 ),
    inference(superposition,[],[f460,f4133]) ).

fof(f4133,plain,
    ( sF78 = app(nil,sF77)
    | ~ spl80_58 ),
    inference(forward_demodulation,[],[f620,f1310]) ).

fof(f460,plain,
    ! [X0] :
      ( app(nil,X0) = X0
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f135]) ).

fof(f135,plain,
    ! [X0] :
      ( app(nil,X0) = X0
      | ~ ssList(X0) ),
    inference(ennf_transformation,[],[f28]) ).

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

fof(f4253,plain,
    ( ~ spl80_9
    | ~ spl80_58 ),
    inference(avatar_contradiction_clause,[],[f4252]) ).

fof(f4252,plain,
    ( $false
    | ~ spl80_9
    | ~ spl80_58 ),
    inference(subsumption_resolution,[],[f4251,f563]) ).

fof(f563,plain,
    ssItem(sK61),
    inference(cnf_transformation,[],[f353]) ).

fof(f4251,plain,
    ( ~ ssItem(sK61)
    | ~ spl80_9
    | ~ spl80_58 ),
    inference(resolution,[],[f4222,f476]) ).

fof(f476,plain,
    ! [X0] :
      ( ~ memberP(nil,X0)
      | ~ ssItem(X0) ),
    inference(cnf_transformation,[],[f149]) ).

fof(f149,plain,
    ! [X0] :
      ( ~ memberP(nil,X0)
      | ~ ssItem(X0) ),
    inference(ennf_transformation,[],[f38]) ).

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

fof(f4222,plain,
    ( memberP(nil,sK61)
    | ~ spl80_9
    | ~ spl80_58 ),
    inference(forward_demodulation,[],[f669,f1310]) ).

fof(f669,plain,
    ( memberP(sK59,sK61)
    | ~ spl80_9 ),
    inference(avatar_component_clause,[],[f667]) ).

fof(f4068,plain,
    ( ~ spl80_3
    | spl80_17
    | ~ spl80_41
    | ~ spl80_123
    | ~ spl80_197 ),
    inference(avatar_contradiction_clause,[],[f4067]) ).

fof(f4067,plain,
    ( $false
    | ~ spl80_3
    | spl80_17
    | ~ spl80_41
    | ~ spl80_123
    | ~ spl80_197 ),
    inference(subsumption_resolution,[],[f4065,f1354]) ).

fof(f1354,plain,
    ( duplicatefreeP(sK55)
    | ~ spl80_3
    | ~ spl80_41 ),
    inference(forward_demodulation,[],[f1037,f641]) ).

fof(f1037,plain,
    ( duplicatefreeP(sF76)
    | ~ spl80_41 ),
    inference(avatar_component_clause,[],[f1035]) ).

fof(f1035,plain,
    ( spl80_41
  <=> duplicatefreeP(sF76) ),
    introduced(avatar_definition,[new_symbols(naming,[spl80_41])]) ).

fof(f4065,plain,
    ( ~ duplicatefreeP(sK55)
    | spl80_17
    | ~ spl80_123
    | ~ spl80_197 ),
    inference(backward_demodulation,[],[f3860,f4036]) ).

fof(f4036,plain,
    ( sK55 = app(sK55,sF77)
    | ~ spl80_123
    | ~ spl80_197 ),
    inference(backward_demodulation,[],[f3857,f3584]) ).

fof(f3584,plain,
    ( sK55 = sK59
    | ~ spl80_197 ),
    inference(avatar_component_clause,[],[f3582]) ).

fof(f3582,plain,
    ( spl80_197
  <=> sK55 = sK59 ),
    introduced(avatar_definition,[new_symbols(naming,[spl80_197])]) ).

fof(f3857,plain,
    ( sK55 = app(sK59,sF77)
    | ~ spl80_123 ),
    inference(backward_demodulation,[],[f620,f2470]) ).

fof(f2470,plain,
    ( sK55 = sF78
    | ~ spl80_123 ),
    inference(avatar_component_clause,[],[f2468]) ).

fof(f2468,plain,
    ( spl80_123
  <=> sK55 = sF78 ),
    introduced(avatar_definition,[new_symbols(naming,[spl80_123])]) ).

fof(f3860,plain,
    ( ~ duplicatefreeP(app(sK55,sF77))
    | spl80_17
    | ~ spl80_123 ),
    inference(backward_demodulation,[],[f743,f2470]) ).

fof(f743,plain,
    ( ~ duplicatefreeP(app(sF78,sF77))
    | spl80_17 ),
    inference(avatar_component_clause,[],[f741]) ).

fof(f741,plain,
    ( spl80_17
  <=> duplicatefreeP(app(sF78,sF77)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl80_17])]) ).

fof(f3986,plain,
    ( spl80_197
    | ~ spl80_20
    | ~ spl80_123
    | ~ spl80_179 ),
    inference(avatar_split_clause,[],[f3985,f3449,f2468,f793,f3582]) ).

fof(f3449,plain,
    ( spl80_179
  <=> frontsegP(sK59,sK55) ),
    introduced(avatar_definition,[new_symbols(naming,[spl80_179])]) ).

fof(f3985,plain,
    ( sK55 = sK59
    | ~ spl80_20
    | ~ spl80_123
    | ~ spl80_179 ),
    inference(subsumption_resolution,[],[f3984,f555]) ).

fof(f3984,plain,
    ( ~ ssList(sK55)
    | sK55 = sK59
    | ~ spl80_20
    | ~ spl80_123
    | ~ spl80_179 ),
    inference(forward_demodulation,[],[f3983,f2470]) ).

fof(f3983,plain,
    ( sK55 = sK59
    | ~ ssList(sF78)
    | ~ spl80_20
    | ~ spl80_123
    | ~ spl80_179 ),
    inference(subsumption_resolution,[],[f3982,f3451]) ).

fof(f3451,plain,
    ( frontsegP(sK59,sK55)
    | ~ spl80_179 ),
    inference(avatar_component_clause,[],[f3449]) ).

fof(f3982,plain,
    ( ~ frontsegP(sK59,sK55)
    | sK55 = sK59
    | ~ ssList(sF78)
    | ~ spl80_20
    | ~ spl80_123 ),
    inference(forward_demodulation,[],[f3981,f2470]) ).

fof(f3981,plain,
    ( sK55 = sK59
    | ~ frontsegP(sK59,sF78)
    | ~ ssList(sF78)
    | ~ spl80_20
    | ~ spl80_123 ),
    inference(forward_demodulation,[],[f3980,f2470]) ).

fof(f3980,plain,
    ( sK59 = sF78
    | ~ frontsegP(sK59,sF78)
    | ~ ssList(sF78)
    | ~ spl80_20 ),
    inference(subsumption_resolution,[],[f3149,f560]) ).

fof(f3149,plain,
    ( sK59 = sF78
    | ~ frontsegP(sK59,sF78)
    | ~ ssList(sF78)
    | ~ ssList(sK59)
    | ~ spl80_20 ),
    inference(resolution,[],[f2444,f479]) ).

fof(f479,plain,
    ! [X0,X1] :
      ( ~ frontsegP(X1,X0)
      | X0 = X1
      | ~ frontsegP(X0,X1)
      | ~ ssList(X1)
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f153]) ).

fof(f153,plain,
    ! [X0] :
      ( ! [X1] :
          ( X0 = X1
          | ~ frontsegP(X1,X0)
          | ~ frontsegP(X0,X1)
          | ~ ssList(X1) )
      | ~ ssList(X0) ),
    inference(flattening,[],[f152]) ).

fof(f152,plain,
    ! [X0] :
      ( ! [X1] :
          ( X0 = X1
          | ~ frontsegP(X1,X0)
          | ~ frontsegP(X0,X1)
          | ~ ssList(X1) )
      | ~ ssList(X0) ),
    inference(ennf_transformation,[],[f41]) ).

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

fof(f2444,plain,
    ( frontsegP(sF78,sK59)
    | ~ spl80_20 ),
    inference(subsumption_resolution,[],[f2443,f900]) ).

fof(f2443,plain,
    ( frontsegP(sF78,sK59)
    | ~ ssList(sF78)
    | ~ spl80_20 ),
    inference(subsumption_resolution,[],[f2442,f560]) ).

fof(f2442,plain,
    ( frontsegP(sF78,sK59)
    | ~ ssList(sK59)
    | ~ ssList(sF78)
    | ~ spl80_20 ),
    inference(subsumption_resolution,[],[f2433,f794]) ).

fof(f2433,plain,
    ( frontsegP(sF78,sK59)
    | ~ ssList(sF77)
    | ~ ssList(sK59)
    | ~ ssList(sF78) ),
    inference(superposition,[],[f602,f620]) ).

fof(f602,plain,
    ! [X2,X1] :
      ( frontsegP(app(X1,X2),X1)
      | ~ ssList(X2)
      | ~ ssList(X1)
      | ~ ssList(app(X1,X2)) ),
    inference(equality_resolution,[],[f368]) ).

fof(f368,plain,
    ! [X2,X0,X1] :
      ( frontsegP(X0,X1)
      | app(X1,X2) != X0
      | ~ ssList(X2)
      | ~ ssList(X1)
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f249]) ).

fof(f249,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( ( frontsegP(X0,X1)
              | ! [X2] :
                  ( app(X1,X2) != X0
                  | ~ ssList(X2) ) )
            & ( ( app(X1,sK11(X0,X1)) = X0
                & ssList(sK11(X0,X1)) )
              | ~ frontsegP(X0,X1) ) )
          | ~ ssList(X1) )
      | ~ ssList(X0) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK11])],[f247,f248]) ).

fof(f248,plain,
    ! [X0,X1] :
      ( ? [X3] :
          ( app(X1,X3) = X0
          & ssList(X3) )
     => ( app(X1,sK11(X0,X1)) = X0
        & ssList(sK11(X0,X1)) ) ),
    introduced(choice_axiom,[]) ).

fof(f247,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( ( frontsegP(X0,X1)
              | ! [X2] :
                  ( app(X1,X2) != X0
                  | ~ ssList(X2) ) )
            & ( ? [X3] :
                  ( app(X1,X3) = X0
                  & ssList(X3) )
              | ~ frontsegP(X0,X1) ) )
          | ~ ssList(X1) )
      | ~ ssList(X0) ),
    inference(rectify,[],[f246]) ).

fof(f246,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( ( frontsegP(X0,X1)
              | ! [X2] :
                  ( app(X1,X2) != X0
                  | ~ ssList(X2) ) )
            & ( ? [X2] :
                  ( app(X1,X2) = X0
                  & ssList(X2) )
              | ~ frontsegP(X0,X1) ) )
          | ~ ssList(X1) )
      | ~ ssList(X0) ),
    inference(nnf_transformation,[],[f102]) ).

fof(f102,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( frontsegP(X0,X1)
          <=> ? [X2] :
                ( app(X1,X2) = X0
                & ssList(X2) ) )
          | ~ ssList(X1) )
      | ~ ssList(X0) ),
    inference(ennf_transformation,[],[f5]) ).

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

fof(f3856,plain,
    ( ~ spl80_122
    | spl80_123
    | ~ spl80_20 ),
    inference(avatar_split_clause,[],[f3855,f793,f2468,f2464]) ).

fof(f2464,plain,
    ( spl80_122
  <=> frontsegP(sF78,sK55) ),
    introduced(avatar_definition,[new_symbols(naming,[spl80_122])]) ).

fof(f3855,plain,
    ( sK55 = sF78
    | ~ frontsegP(sF78,sK55)
    | ~ spl80_20 ),
    inference(subsumption_resolution,[],[f3854,f900]) ).

fof(f3854,plain,
    ( sK55 = sF78
    | ~ frontsegP(sF78,sK55)
    | ~ ssList(sF78)
    | ~ spl80_20 ),
    inference(subsumption_resolution,[],[f3153,f555]) ).

fof(f3153,plain,
    ( sK55 = sF78
    | ~ frontsegP(sF78,sK55)
    | ~ ssList(sK55)
    | ~ ssList(sF78)
    | ~ spl80_20 ),
    inference(resolution,[],[f2447,f479]) ).

fof(f2447,plain,
    ( frontsegP(sK55,sF78)
    | ~ spl80_20 ),
    inference(subsumption_resolution,[],[f2446,f555]) ).

fof(f2446,plain,
    ( frontsegP(sK55,sF78)
    | ~ ssList(sK55)
    | ~ spl80_20 ),
    inference(subsumption_resolution,[],[f2445,f900]) ).

fof(f2445,plain,
    ( frontsegP(sK55,sF78)
    | ~ ssList(sF78)
    | ~ ssList(sK55) ),
    inference(subsumption_resolution,[],[f2434,f561]) ).

fof(f2434,plain,
    ( frontsegP(sK55,sF78)
    | ~ ssList(sK60)
    | ~ ssList(sF78)
    | ~ ssList(sK55) ),
    inference(superposition,[],[f602,f678]) ).

fof(f3853,plain,
    ( ~ spl80_198
    | spl80_122
    | ~ spl80_3
    | ~ spl80_4
    | ~ spl80_159 ),
    inference(avatar_split_clause,[],[f3647,f3071,f644,f639,f2464,f3675]) ).

fof(f3675,plain,
    ( spl80_198
  <=> ssList(tl(sF78)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl80_198])]) ).

fof(f3071,plain,
    ( spl80_159
  <=> sF78 = cons(sK57,tl(sF78)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl80_159])]) ).

fof(f3647,plain,
    ( frontsegP(sF78,sK55)
    | ~ ssList(tl(sF78))
    | ~ spl80_3
    | ~ spl80_4
    | ~ spl80_159 ),
    inference(superposition,[],[f2441,f3073]) ).

fof(f3073,plain,
    ( sF78 = cons(sK57,tl(sF78))
    | ~ spl80_159 ),
    inference(avatar_component_clause,[],[f3071]) ).

fof(f2441,plain,
    ( ! [X0] :
        ( frontsegP(cons(sK57,X0),sK55)
        | ~ ssList(X0) )
    | ~ spl80_3
    | ~ spl80_4 ),
    inference(subsumption_resolution,[],[f2440,f2394]) ).

fof(f2394,plain,
    ( ! [X0] :
        ( ssList(cons(sK57,X0))
        | ~ ssList(X0) )
    | ~ spl80_3
    | ~ spl80_4 ),
    inference(subsumption_resolution,[],[f2383,f555]) ).

fof(f2383,plain,
    ( ! [X0] :
        ( ssList(cons(sK57,X0))
        | ~ ssList(X0)
        | ~ ssList(sK55) )
    | ~ spl80_3
    | ~ spl80_4 ),
    inference(duplicate_literal_removal,[],[f2360]) ).

fof(f2360,plain,
    ( ! [X0] :
        ( ssList(cons(sK57,X0))
        | ~ ssList(X0)
        | ~ ssList(sK55)
        | ~ ssList(X0) )
    | ~ spl80_3
    | ~ spl80_4 ),
    inference(superposition,[],[f458,f1895]) ).

fof(f1895,plain,
    ( ! [X0] :
        ( cons(sK57,X0) = app(sK55,X0)
        | ~ ssList(X0) )
    | ~ spl80_3
    | ~ spl80_4 ),
    inference(forward_demodulation,[],[f1892,f1348]) ).

fof(f1892,plain,
    ( ! [X0] :
        ( cons(sK57,X0) = app(cons(sK57,nil),X0)
        | ~ ssList(X0) )
    | ~ spl80_4 ),
    inference(resolution,[],[f534,f646]) ).

fof(f534,plain,
    ! [X0,X1] :
      ( ~ ssItem(X1)
      | cons(X1,X0) = app(cons(X1,nil),X0)
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f199]) ).

fof(f199,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(f2440,plain,
    ( ! [X0] :
        ( frontsegP(cons(sK57,X0),sK55)
        | ~ ssList(X0)
        | ~ ssList(cons(sK57,X0)) )
    | ~ spl80_3
    | ~ spl80_4 ),
    inference(subsumption_resolution,[],[f2435,f555]) ).

fof(f2435,plain,
    ( ! [X0] :
        ( frontsegP(cons(sK57,X0),sK55)
        | ~ ssList(X0)
        | ~ ssList(sK55)
        | ~ ssList(cons(sK57,X0)) )
    | ~ spl80_3
    | ~ spl80_4 ),
    inference(duplicate_literal_removal,[],[f2432]) ).

fof(f2432,plain,
    ( ! [X0] :
        ( frontsegP(cons(sK57,X0),sK55)
        | ~ ssList(X0)
        | ~ ssList(sK55)
        | ~ ssList(cons(sK57,X0))
        | ~ ssList(X0) )
    | ~ spl80_3
    | ~ spl80_4 ),
    inference(superposition,[],[f602,f1895]) ).

fof(f3852,plain,
    ( ~ spl80_20
    | spl80_62
    | spl80_198 ),
    inference(avatar_contradiction_clause,[],[f3851]) ).

fof(f3851,plain,
    ( $false
    | ~ spl80_20
    | spl80_62
    | spl80_198 ),
    inference(subsumption_resolution,[],[f3850,f900]) ).

fof(f3850,plain,
    ( ~ ssList(sF78)
    | spl80_62
    | spl80_198 ),
    inference(subsumption_resolution,[],[f3849,f1408]) ).

fof(f3849,plain,
    ( nil = sF78
    | ~ ssList(sF78)
    | spl80_198 ),
    inference(resolution,[],[f3677,f456]) ).

fof(f456,plain,
    ! [X0] :
      ( ssList(tl(X0))
      | nil = X0
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f131]) ).

fof(f131,plain,
    ! [X0] :
      ( ssList(tl(X0))
      | nil = X0
      | ~ ssList(X0) ),
    inference(flattening,[],[f130]) ).

fof(f130,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(f3677,plain,
    ( ~ ssList(tl(sF78))
    | spl80_198 ),
    inference(avatar_component_clause,[],[f3675]) ).

fof(f3545,plain,
    ( spl80_58
    | spl80_160 ),
    inference(avatar_contradiction_clause,[],[f3544]) ).

fof(f3544,plain,
    ( $false
    | spl80_58
    | spl80_160 ),
    inference(subsumption_resolution,[],[f3543,f560]) ).

fof(f3543,plain,
    ( ~ ssList(sK59)
    | spl80_58
    | spl80_160 ),
    inference(subsumption_resolution,[],[f3542,f1309]) ).

fof(f1309,plain,
    ( nil != sK59
    | spl80_58 ),
    inference(avatar_component_clause,[],[f1308]) ).

fof(f3542,plain,
    ( nil = sK59
    | ~ ssList(sK59)
    | spl80_160 ),
    inference(resolution,[],[f3362,f456]) ).

fof(f3362,plain,
    ( ~ ssList(tl(sK59))
    | spl80_160 ),
    inference(avatar_component_clause,[],[f3360]) ).

fof(f3360,plain,
    ( spl80_160
  <=> ssList(tl(sK59)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl80_160])]) ).

fof(f3452,plain,
    ( ~ spl80_160
    | spl80_179
    | ~ spl80_3
    | ~ spl80_4
    | spl80_58
    | ~ spl80_156 ),
    inference(avatar_split_clause,[],[f3332,f2977,f1308,f644,f639,f3449,f3360]) ).

fof(f2977,plain,
    ( spl80_156
  <=> sK57 = hd(sK59) ),
    introduced(avatar_definition,[new_symbols(naming,[spl80_156])]) ).

fof(f3332,plain,
    ( frontsegP(sK59,sK55)
    | ~ ssList(tl(sK59))
    | ~ spl80_3
    | ~ spl80_4
    | spl80_58
    | ~ spl80_156 ),
    inference(superposition,[],[f2441,f3029]) ).

fof(f3029,plain,
    ( sK59 = cons(sK57,tl(sK59))
    | spl80_58
    | ~ spl80_156 ),
    inference(subsumption_resolution,[],[f3028,f560]) ).

fof(f3028,plain,
    ( sK59 = cons(sK57,tl(sK59))
    | ~ ssList(sK59)
    | spl80_58
    | ~ spl80_156 ),
    inference(subsumption_resolution,[],[f3022,f1309]) ).

fof(f3022,plain,
    ( sK59 = cons(sK57,tl(sK59))
    | nil = sK59
    | ~ ssList(sK59)
    | ~ spl80_156 ),
    inference(superposition,[],[f531,f2979]) ).

fof(f2979,plain,
    ( sK57 = hd(sK59)
    | ~ spl80_156 ),
    inference(avatar_component_clause,[],[f2977]) ).

fof(f531,plain,
    ! [X0] :
      ( cons(hd(X0),tl(X0)) = X0
      | nil = X0
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f194]) ).

fof(f194,plain,
    ! [X0] :
      ( cons(hd(X0),tl(X0)) = X0
      | nil = X0
      | ~ ssList(X0) ),
    inference(flattening,[],[f193]) ).

fof(f193,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(f3128,plain,
    ( ~ spl80_20
    | ~ spl80_62 ),
    inference(avatar_contradiction_clause,[],[f3127]) ).

fof(f3127,plain,
    ( $false
    | ~ spl80_20
    | ~ spl80_62 ),
    inference(subsumption_resolution,[],[f3084,f595]) ).

fof(f3084,plain,
    ( sP74(nil)
    | ~ spl80_20
    | ~ spl80_62 ),
    inference(backward_demodulation,[],[f1495,f1409]) ).

fof(f1409,plain,
    ( nil = sF78
    | ~ spl80_62 ),
    inference(avatar_component_clause,[],[f1407]) ).

fof(f1495,plain,
    ( sP74(sF78)
    | ~ spl80_20 ),
    inference(subsumption_resolution,[],[f1494,f560]) ).

fof(f1494,plain,
    ( sP74(sF78)
    | ~ ssList(sK59)
    | ~ spl80_20 ),
    inference(subsumption_resolution,[],[f1493,f794]) ).

fof(f1493,plain,
    ( sP74(sF78)
    | ~ ssList(sF77)
    | ~ ssList(sK59) ),
    inference(subsumption_resolution,[],[f1489,f730]) ).

fof(f730,plain,
    nil != sF77,
    inference(subsumption_resolution,[],[f729,f446]) ).

fof(f729,plain,
    ( nil != sF77
    | ~ ssList(nil) ),
    inference(subsumption_resolution,[],[f720,f559]) ).

fof(f720,plain,
    ( nil != sF77
    | ~ ssItem(sK58)
    | ~ ssList(nil) ),
    inference(superposition,[],[f447,f619]) ).

fof(f447,plain,
    ! [X0,X1] :
      ( cons(X1,X0) != X0
      | ~ ssItem(X1)
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f121]) ).

fof(f121,plain,
    ! [X0] :
      ( ! [X1] :
          ( cons(X1,X0) != X0
          | ~ ssItem(X1) )
      | ~ ssList(X0) ),
    inference(ennf_transformation,[],[f18]) ).

fof(f18,axiom,
    ! [X0] :
      ( ssList(X0)
     => ! [X1] :
          ( ssItem(X1)
         => cons(X1,X0) != X0 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax18) ).

fof(f1489,plain,
    ( sP74(sF78)
    | nil = sF77
    | ~ ssList(sF77)
    | ~ ssList(sK59) ),
    inference(superposition,[],[f596,f620]) ).

fof(f3074,plain,
    ( spl80_62
    | spl80_159
    | ~ spl80_20
    | spl80_58
    | ~ spl80_156 ),
    inference(avatar_split_clause,[],[f3069,f2977,f1308,f793,f3071,f1407]) ).

fof(f3069,plain,
    ( sF78 = cons(sK57,tl(sF78))
    | nil = sF78
    | ~ spl80_20
    | spl80_58
    | ~ spl80_156 ),
    inference(subsumption_resolution,[],[f3055,f900]) ).

fof(f3055,plain,
    ( sF78 = cons(sK57,tl(sF78))
    | nil = sF78
    | ~ ssList(sF78)
    | ~ spl80_20
    | spl80_58
    | ~ spl80_156 ),
    inference(superposition,[],[f531,f2989]) ).

fof(f2989,plain,
    ( sK57 = hd(sF78)
    | ~ spl80_20
    | spl80_58
    | ~ spl80_156 ),
    inference(backward_demodulation,[],[f2971,f2979]) ).

fof(f2971,plain,
    ( hd(sK59) = hd(sF78)
    | ~ spl80_20
    | spl80_58 ),
    inference(subsumption_resolution,[],[f2970,f560]) ).

fof(f2970,plain,
    ( hd(sK59) = hd(sF78)
    | ~ ssList(sK59)
    | ~ spl80_20
    | spl80_58 ),
    inference(subsumption_resolution,[],[f2969,f794]) ).

fof(f2969,plain,
    ( hd(sK59) = hd(sF78)
    | ~ ssList(sF77)
    | ~ ssList(sK59)
    | spl80_58 ),
    inference(subsumption_resolution,[],[f2938,f1309]) ).

fof(f2938,plain,
    ( hd(sK59) = hd(sF78)
    | nil = sK59
    | ~ ssList(sF77)
    | ~ ssList(sK59) ),
    inference(superposition,[],[f540,f620]) ).

fof(f2985,plain,
    ( spl80_62
    | spl80_156
    | ~ spl80_3
    | ~ spl80_4
    | ~ spl80_20
    | spl80_58
    | ~ spl80_130 ),
    inference(avatar_split_clause,[],[f2984,f2639,f1308,f793,f644,f639,f2977,f1407]) ).

fof(f2639,plain,
    ( spl80_130
  <=> ssList(sK11(sK55,sF78)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl80_130])]) ).

fof(f2984,plain,
    ( sK57 = hd(sK59)
    | nil = sF78
    | ~ spl80_3
    | ~ spl80_4
    | ~ spl80_20
    | spl80_58
    | ~ spl80_130 ),
    inference(forward_demodulation,[],[f2983,f1467]) ).

fof(f2983,plain,
    ( hd(sK55) = hd(sK59)
    | nil = sF78
    | ~ spl80_20
    | spl80_58
    | ~ spl80_130 ),
    inference(forward_demodulation,[],[f2982,f2971]) ).

fof(f2982,plain,
    ( hd(sK55) = hd(sF78)
    | nil = sF78
    | ~ spl80_20
    | ~ spl80_130 ),
    inference(subsumption_resolution,[],[f2981,f900]) ).

fof(f2981,plain,
    ( hd(sK55) = hd(sF78)
    | nil = sF78
    | ~ ssList(sF78)
    | ~ spl80_20
    | ~ spl80_130 ),
    inference(subsumption_resolution,[],[f2941,f2640]) ).

fof(f2640,plain,
    ( ssList(sK11(sK55,sF78))
    | ~ spl80_130 ),
    inference(avatar_component_clause,[],[f2639]) ).

fof(f2941,plain,
    ( hd(sK55) = hd(sF78)
    | nil = sF78
    | ~ ssList(sK11(sK55,sF78))
    | ~ ssList(sF78)
    | ~ spl80_20 ),
    inference(superposition,[],[f540,f2505]) ).

fof(f2505,plain,
    ( sK55 = app(sF78,sK11(sK55,sF78))
    | ~ spl80_20 ),
    inference(subsumption_resolution,[],[f2504,f555]) ).

fof(f2504,plain,
    ( sK55 = app(sF78,sK11(sK55,sF78))
    | ~ ssList(sK55)
    | ~ spl80_20 ),
    inference(subsumption_resolution,[],[f2495,f900]) ).

fof(f2495,plain,
    ( sK55 = app(sF78,sK11(sK55,sF78))
    | ~ ssList(sF78)
    | ~ ssList(sK55)
    | ~ spl80_20 ),
    inference(resolution,[],[f367,f2447]) ).

fof(f367,plain,
    ! [X0,X1] :
      ( ~ frontsegP(X0,X1)
      | app(X1,sK11(X0,X1)) = X0
      | ~ ssList(X1)
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f249]) ).

fof(f2785,plain,
    ( ~ spl80_20
    | spl80_130 ),
    inference(avatar_contradiction_clause,[],[f2784]) ).

fof(f2784,plain,
    ( $false
    | ~ spl80_20
    | spl80_130 ),
    inference(subsumption_resolution,[],[f2783,f555]) ).

fof(f2783,plain,
    ( ~ ssList(sK55)
    | ~ spl80_20
    | spl80_130 ),
    inference(subsumption_resolution,[],[f2782,f900]) ).

fof(f2782,plain,
    ( ~ ssList(sF78)
    | ~ ssList(sK55)
    | ~ spl80_20
    | spl80_130 ),
    inference(subsumption_resolution,[],[f2781,f2447]) ).

fof(f2781,plain,
    ( ~ frontsegP(sK55,sF78)
    | ~ ssList(sF78)
    | ~ ssList(sK55)
    | spl80_130 ),
    inference(resolution,[],[f2641,f366]) ).

fof(f366,plain,
    ! [X0,X1] :
      ( ssList(sK11(X0,X1))
      | ~ frontsegP(X0,X1)
      | ~ ssList(X1)
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f249]) ).

fof(f2641,plain,
    ( ~ ssList(sK11(sK55,sF78))
    | spl80_130 ),
    inference(avatar_component_clause,[],[f2639]) ).

fof(f1345,plain,
    ( ~ spl80_6
    | ~ spl80_28 ),
    inference(avatar_contradiction_clause,[],[f1344]) ).

fof(f1344,plain,
    ( $false
    | ~ spl80_6
    | ~ spl80_28 ),
    inference(subsumption_resolution,[],[f1343,f597]) ).

fof(f597,plain,
    ~ sP75(nil),
    introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP75])]) ).

fof(f1343,plain,
    ( sP75(nil)
    | ~ spl80_6
    | ~ spl80_28 ),
    inference(forward_demodulation,[],[f655,f961]) ).

fof(f961,plain,
    ( nil = sK56
    | ~ spl80_28 ),
    inference(avatar_component_clause,[],[f959]) ).

fof(f959,plain,
    ( spl80_28
  <=> nil = sK56 ),
    introduced(avatar_definition,[new_symbols(naming,[spl80_28])]) ).

fof(f655,plain,
    ( sP75(sK56)
    | ~ spl80_6 ),
    inference(avatar_component_clause,[],[f653]) ).

fof(f653,plain,
    ( spl80_6
  <=> sP75(sK56) ),
    introduced(avatar_definition,[new_symbols(naming,[spl80_6])]) ).

fof(f1340,plain,
    ( ~ spl80_5
    | ~ spl80_20
    | ~ spl80_59 ),
    inference(avatar_contradiction_clause,[],[f1339]) ).

fof(f1339,plain,
    ( $false
    | ~ spl80_5
    | ~ spl80_20
    | ~ spl80_59 ),
    inference(subsumption_resolution,[],[f1338,f593]) ).

fof(f593,plain,
    ~ sP73(nil),
    introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP73])]) ).

fof(f1338,plain,
    ( sP73(nil)
    | ~ spl80_5
    | ~ spl80_20
    | ~ spl80_59 ),
    inference(forward_demodulation,[],[f1314,f1318]) ).

fof(f1318,plain,
    ( nil = sF78
    | ~ spl80_5
    | ~ spl80_20 ),
    inference(subsumption_resolution,[],[f1317,f900]) ).

fof(f1317,plain,
    ( nil = sF78
    | ~ ssList(sF78)
    | ~ spl80_5 ),
    inference(subsumption_resolution,[],[f1316,f561]) ).

fof(f1316,plain,
    ( nil = sF78
    | ~ ssList(sK60)
    | ~ ssList(sF78)
    | ~ spl80_5 ),
    inference(subsumption_resolution,[],[f1302,f593]) ).

fof(f1302,plain,
    ( sP73(nil)
    | nil = sF78
    | ~ ssList(sK60)
    | ~ ssList(sF78)
    | ~ spl80_5 ),
    inference(superposition,[],[f594,f682]) ).

fof(f682,plain,
    ( nil = app(sF78,sK60)
    | ~ spl80_5 ),
    inference(backward_demodulation,[],[f678,f651]) ).

fof(f651,plain,
    ( nil = sK55
    | ~ spl80_5 ),
    inference(avatar_component_clause,[],[f649]) ).

fof(f594,plain,
    ! [X0,X1] :
      ( sP73(app(X0,X1))
      | nil = X0
      | ~ ssList(X1)
      | ~ ssList(X0) ),
    inference(inequality_splitting,[],[f537,f593]) ).

fof(f537,plain,
    ! [X0,X1] :
      ( nil = X0
      | nil != app(X0,X1)
      | ~ ssList(X1)
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f341]) ).

fof(f1314,plain,
    ( sP73(sF78)
    | ~ spl80_59 ),
    inference(avatar_component_clause,[],[f1312]) ).

fof(f1312,plain,
    ( spl80_59
  <=> sP73(sF78) ),
    introduced(avatar_definition,[new_symbols(naming,[spl80_59])]) ).

fof(f1337,plain,
    ( ~ spl80_5
    | spl80_17
    | ~ spl80_20
    | ~ spl80_58 ),
    inference(avatar_contradiction_clause,[],[f1336]) ).

fof(f1336,plain,
    ( $false
    | ~ spl80_5
    | spl80_17
    | ~ spl80_20
    | ~ spl80_58 ),
    inference(subsumption_resolution,[],[f1332,f523]) ).

fof(f523,plain,
    duplicatefreeP(nil),
    inference(cnf_transformation,[],[f72]) ).

fof(f72,axiom,
    duplicatefreeP(nil),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax72) ).

fof(f1332,plain,
    ( ~ duplicatefreeP(nil)
    | ~ spl80_5
    | spl80_17
    | ~ spl80_20
    | ~ spl80_58 ),
    inference(backward_demodulation,[],[f1322,f1328]) ).

fof(f1328,plain,
    ( nil = app(nil,sF77)
    | ~ spl80_5
    | ~ spl80_20
    | ~ spl80_58 ),
    inference(backward_demodulation,[],[f1319,f1310]) ).

fof(f1319,plain,
    ( nil = app(sK59,sF77)
    | ~ spl80_5
    | ~ spl80_20 ),
    inference(backward_demodulation,[],[f620,f1318]) ).

fof(f1322,plain,
    ( ~ duplicatefreeP(app(nil,sF77))
    | ~ spl80_5
    | spl80_17
    | ~ spl80_20 ),
    inference(backward_demodulation,[],[f743,f1318]) ).

fof(f1315,plain,
    ( spl80_58
    | spl80_59
    | ~ spl80_20 ),
    inference(avatar_split_clause,[],[f1306,f793,f1312,f1308]) ).

fof(f1306,plain,
    ( sP73(sF78)
    | nil = sK59
    | ~ spl80_20 ),
    inference(subsumption_resolution,[],[f1305,f560]) ).

fof(f1305,plain,
    ( sP73(sF78)
    | nil = sK59
    | ~ ssList(sK59)
    | ~ spl80_20 ),
    inference(subsumption_resolution,[],[f1301,f794]) ).

fof(f1301,plain,
    ( sP73(sF78)
    | nil = sK59
    | ~ ssList(sF77)
    | ~ ssList(sK59) ),
    inference(superposition,[],[f594,f620]) ).

fof(f1038,plain,
    ( ~ spl80_4
    | spl80_41 ),
    inference(avatar_split_clause,[],[f774,f1035,f644]) ).

fof(f774,plain,
    ( duplicatefreeP(sF76)
    | ~ ssItem(sK57) ),
    inference(superposition,[],[f522,f617]) ).

fof(f522,plain,
    ! [X0] :
      ( duplicatefreeP(cons(X0,nil))
      | ~ ssItem(X0) ),
    inference(cnf_transformation,[],[f185]) ).

fof(f185,plain,
    ! [X0] :
      ( duplicatefreeP(cons(X0,nil))
      | ~ ssItem(X0) ),
    inference(ennf_transformation,[],[f71]) ).

fof(f71,axiom,
    ! [X0] :
      ( ssItem(X0)
     => duplicatefreeP(cons(X0,nil)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax71) ).

fof(f970,plain,
    ( spl80_28
    | spl80_2 ),
    inference(avatar_split_clause,[],[f969,f634,f959]) ).

fof(f634,plain,
    ( spl80_2
  <=> neq(sK56,nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl80_2])]) ).

fof(f969,plain,
    ( nil = sK56
    | spl80_2 ),
    inference(subsumption_resolution,[],[f968,f556]) ).

fof(f556,plain,
    ssList(sK56),
    inference(cnf_transformation,[],[f353]) ).

fof(f968,plain,
    ( nil = sK56
    | ~ ssList(sK56)
    | spl80_2 ),
    inference(subsumption_resolution,[],[f963,f446]) ).

fof(f963,plain,
    ( nil = sK56
    | ~ ssList(nil)
    | ~ ssList(sK56)
    | spl80_2 ),
    inference(resolution,[],[f444,f636]) ).

fof(f636,plain,
    ( ~ neq(sK56,nil)
    | spl80_2 ),
    inference(avatar_component_clause,[],[f634]) ).

fof(f444,plain,
    ! [X0,X1] :
      ( neq(X0,X1)
      | X0 = X1
      | ~ ssList(X1)
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f317]) ).

fof(f317,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( ( neq(X0,X1)
              | X0 = X1 )
            & ( X0 != X1
              | ~ neq(X0,X1) ) )
          | ~ ssList(X1) )
      | ~ ssList(X0) ),
    inference(nnf_transformation,[],[f119]) ).

fof(f119,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( neq(X0,X1)
          <=> X0 != X1 )
          | ~ ssList(X1) )
      | ~ ssList(X0) ),
    inference(ennf_transformation,[],[f15]) ).

fof(f15,axiom,
    ! [X0] :
      ( ssList(X0)
     => ! [X1] :
          ( ssList(X1)
         => ( neq(X0,X1)
          <=> X0 != X1 ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax15) ).

fof(f902,plain,
    ( ~ spl80_16
    | ~ spl80_17 ),
    inference(avatar_split_clause,[],[f901,f741,f737]) ).

fof(f737,plain,
    ( spl80_16
  <=> ssList(app(sF78,sF77)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl80_16])]) ).

fof(f901,plain,
    ( ~ duplicatefreeP(app(sF78,sF77))
    | ~ ssList(app(sF78,sF77)) ),
    inference(subsumption_resolution,[],[f811,f446]) ).

fof(f811,plain,
    ( ~ duplicatefreeP(app(sF78,sF77))
    | ~ ssList(nil)
    | ~ ssList(app(sF78,sF77)) ),
    inference(superposition,[],[f747,f619]) ).

fof(f747,plain,
    ! [X0] :
      ( ~ duplicatefreeP(app(sF78,cons(sK58,X0)))
      | ~ ssList(X0)
      | ~ ssList(app(sF78,cons(sK58,X0))) ),
    inference(subsumption_resolution,[],[f745,f560]) ).

fof(f745,plain,
    ! [X0] :
      ( ~ duplicatefreeP(app(sF78,cons(sK58,X0)))
      | ~ ssList(sK59)
      | ~ ssList(X0)
      | ~ ssList(app(sF78,cons(sK58,X0))) ),
    inference(superposition,[],[f724,f620]) ).

fof(f724,plain,
    ! [X0,X1] :
      ( ~ duplicatefreeP(app(app(X0,sF77),cons(sK58,X1)))
      | ~ ssList(X0)
      | ~ ssList(X1)
      | ~ ssList(app(app(X0,sF77),cons(sK58,X1))) ),
    inference(subsumption_resolution,[],[f723,f559]) ).

fof(f723,plain,
    ! [X0,X1] :
      ( ~ duplicatefreeP(app(app(X0,sF77),cons(sK58,X1)))
      | ~ ssList(X0)
      | ~ ssItem(sK58)
      | ~ ssList(X1)
      | ~ ssList(app(app(X0,sF77),cons(sK58,X1))) ),
    inference(subsumption_resolution,[],[f717,f446]) ).

fof(f717,plain,
    ! [X0,X1] :
      ( ~ duplicatefreeP(app(app(X0,sF77),cons(sK58,X1)))
      | ~ ssList(nil)
      | ~ ssList(X0)
      | ~ ssItem(sK58)
      | ~ ssList(X1)
      | ~ ssList(app(app(X0,sF77),cons(sK58,X1))) ),
    inference(superposition,[],[f627,f619]) ).

fof(f627,plain,
    ! [X10,X8,X9,X7] :
      ( ~ duplicatefreeP(app(app(X8,cons(X7,X9)),cons(X7,X10)))
      | ~ ssList(X9)
      | ~ ssList(X8)
      | ~ ssItem(X7)
      | ~ ssList(X10)
      | ~ ssList(app(app(X8,cons(X7,X9)),cons(X7,X10))) ),
    inference(duplicate_literal_removal,[],[f611]) ).

fof(f611,plain,
    ! [X10,X8,X9,X7] :
      ( ~ ssList(X10)
      | ~ ssList(X9)
      | ~ ssList(X8)
      | ~ ssItem(X7)
      | ~ ssItem(X7)
      | ~ duplicatefreeP(app(app(X8,cons(X7,X9)),cons(X7,X10)))
      | ~ ssList(app(app(X8,cons(X7,X9)),cons(X7,X10))) ),
    inference(equality_resolution,[],[f610]) ).

fof(f610,plain,
    ! [X10,X0,X8,X9,X7] :
      ( app(app(X8,cons(X7,X9)),cons(X7,X10)) != X0
      | ~ ssList(X10)
      | ~ ssList(X9)
      | ~ ssList(X8)
      | ~ ssItem(X7)
      | ~ ssItem(X7)
      | ~ duplicatefreeP(X0)
      | ~ ssList(X0) ),
    inference(equality_resolution,[],[f428]) ).

fof(f428,plain,
    ! [X10,X0,X8,X6,X9,X7] :
      ( X6 != X7
      | app(app(X8,cons(X6,X9)),cons(X7,X10)) != X0
      | ~ ssList(X10)
      | ~ ssList(X9)
      | ~ ssList(X8)
      | ~ ssItem(X7)
      | ~ ssItem(X6)
      | ~ duplicatefreeP(X0)
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f309]) ).

fof(f309,plain,
    ! [X0] :
      ( ( ( duplicatefreeP(X0)
          | ( sK40(X0) = sK41(X0)
            & app(app(sK42(X0),cons(sK40(X0),sK43(X0))),cons(sK41(X0),sK44(X0))) = X0
            & ssList(sK44(X0))
            & ssList(sK43(X0))
            & ssList(sK42(X0))
            & ssItem(sK41(X0))
            & ssItem(sK40(X0)) ) )
        & ( ! [X6] :
              ( ! [X7] :
                  ( ! [X8] :
                      ( ! [X9] :
                          ( ! [X10] :
                              ( X6 != X7
                              | app(app(X8,cons(X6,X9)),cons(X7,X10)) != X0
                              | ~ ssList(X10) )
                          | ~ ssList(X9) )
                      | ~ ssList(X8) )
                  | ~ ssItem(X7) )
              | ~ ssItem(X6) )
          | ~ duplicatefreeP(X0) ) )
      | ~ ssList(X0) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK40,sK41,sK42,sK43,sK44])],[f303,f308,f307,f306,f305,f304]) ).

fof(f304,plain,
    ! [X0] :
      ( ? [X1] :
          ( ? [X2] :
              ( ? [X3] :
                  ( ? [X4] :
                      ( ? [X5] :
                          ( X1 = X2
                          & app(app(X3,cons(X1,X4)),cons(X2,X5)) = X0
                          & ssList(X5) )
                      & ssList(X4) )
                  & ssList(X3) )
              & ssItem(X2) )
          & ssItem(X1) )
     => ( ? [X2] :
            ( ? [X3] :
                ( ? [X4] :
                    ( ? [X5] :
                        ( sK40(X0) = X2
                        & app(app(X3,cons(sK40(X0),X4)),cons(X2,X5)) = X0
                        & ssList(X5) )
                    & ssList(X4) )
                & ssList(X3) )
            & ssItem(X2) )
        & ssItem(sK40(X0)) ) ),
    introduced(choice_axiom,[]) ).

fof(f305,plain,
    ! [X0] :
      ( ? [X2] :
          ( ? [X3] :
              ( ? [X4] :
                  ( ? [X5] :
                      ( sK40(X0) = X2
                      & app(app(X3,cons(sK40(X0),X4)),cons(X2,X5)) = X0
                      & ssList(X5) )
                  & ssList(X4) )
              & ssList(X3) )
          & ssItem(X2) )
     => ( ? [X3] :
            ( ? [X4] :
                ( ? [X5] :
                    ( sK40(X0) = sK41(X0)
                    & app(app(X3,cons(sK40(X0),X4)),cons(sK41(X0),X5)) = X0
                    & ssList(X5) )
                & ssList(X4) )
            & ssList(X3) )
        & ssItem(sK41(X0)) ) ),
    introduced(choice_axiom,[]) ).

fof(f306,plain,
    ! [X0] :
      ( ? [X3] :
          ( ? [X4] :
              ( ? [X5] :
                  ( sK40(X0) = sK41(X0)
                  & app(app(X3,cons(sK40(X0),X4)),cons(sK41(X0),X5)) = X0
                  & ssList(X5) )
              & ssList(X4) )
          & ssList(X3) )
     => ( ? [X4] :
            ( ? [X5] :
                ( sK40(X0) = sK41(X0)
                & app(app(sK42(X0),cons(sK40(X0),X4)),cons(sK41(X0),X5)) = X0
                & ssList(X5) )
            & ssList(X4) )
        & ssList(sK42(X0)) ) ),
    introduced(choice_axiom,[]) ).

fof(f307,plain,
    ! [X0] :
      ( ? [X4] :
          ( ? [X5] :
              ( sK40(X0) = sK41(X0)
              & app(app(sK42(X0),cons(sK40(X0),X4)),cons(sK41(X0),X5)) = X0
              & ssList(X5) )
          & ssList(X4) )
     => ( ? [X5] :
            ( sK40(X0) = sK41(X0)
            & app(app(sK42(X0),cons(sK40(X0),sK43(X0))),cons(sK41(X0),X5)) = X0
            & ssList(X5) )
        & ssList(sK43(X0)) ) ),
    introduced(choice_axiom,[]) ).

fof(f308,plain,
    ! [X0] :
      ( ? [X5] :
          ( sK40(X0) = sK41(X0)
          & app(app(sK42(X0),cons(sK40(X0),sK43(X0))),cons(sK41(X0),X5)) = X0
          & ssList(X5) )
     => ( sK40(X0) = sK41(X0)
        & app(app(sK42(X0),cons(sK40(X0),sK43(X0))),cons(sK41(X0),sK44(X0))) = X0
        & ssList(sK44(X0)) ) ),
    introduced(choice_axiom,[]) ).

fof(f303,plain,
    ! [X0] :
      ( ( ( duplicatefreeP(X0)
          | ? [X1] :
              ( ? [X2] :
                  ( ? [X3] :
                      ( ? [X4] :
                          ( ? [X5] :
                              ( X1 = X2
                              & app(app(X3,cons(X1,X4)),cons(X2,X5)) = X0
                              & ssList(X5) )
                          & ssList(X4) )
                      & ssList(X3) )
                  & ssItem(X2) )
              & ssItem(X1) ) )
        & ( ! [X6] :
              ( ! [X7] :
                  ( ! [X8] :
                      ( ! [X9] :
                          ( ! [X10] :
                              ( X6 != X7
                              | app(app(X8,cons(X6,X9)),cons(X7,X10)) != X0
                              | ~ ssList(X10) )
                          | ~ ssList(X9) )
                      | ~ ssList(X8) )
                  | ~ ssItem(X7) )
              | ~ ssItem(X6) )
          | ~ duplicatefreeP(X0) ) )
      | ~ ssList(X0) ),
    inference(rectify,[],[f302]) ).

fof(f302,plain,
    ! [X0] :
      ( ( ( duplicatefreeP(X0)
          | ? [X1] :
              ( ? [X2] :
                  ( ? [X3] :
                      ( ? [X4] :
                          ( ? [X5] :
                              ( X1 = X2
                              & app(app(X3,cons(X1,X4)),cons(X2,X5)) = X0
                              & ssList(X5) )
                          & ssList(X4) )
                      & ssList(X3) )
                  & ssItem(X2) )
              & ssItem(X1) ) )
        & ( ! [X1] :
              ( ! [X2] :
                  ( ! [X3] :
                      ( ! [X4] :
                          ( ! [X5] :
                              ( X1 != X2
                              | app(app(X3,cons(X1,X4)),cons(X2,X5)) != X0
                              | ~ ssList(X5) )
                          | ~ ssList(X4) )
                      | ~ ssList(X3) )
                  | ~ ssItem(X2) )
              | ~ ssItem(X1) )
          | ~ duplicatefreeP(X0) ) )
      | ~ ssList(X0) ),
    inference(nnf_transformation,[],[f116]) ).

fof(f116,plain,
    ! [X0] :
      ( ( duplicatefreeP(X0)
      <=> ! [X1] :
            ( ! [X2] :
                ( ! [X3] :
                    ( ! [X4] :
                        ( ! [X5] :
                            ( X1 != X2
                            | app(app(X3,cons(X1,X4)),cons(X2,X5)) != X0
                            | ~ ssList(X5) )
                        | ~ ssList(X4) )
                    | ~ ssList(X3) )
                | ~ ssItem(X2) )
            | ~ ssItem(X1) ) )
      | ~ ssList(X0) ),
    inference(flattening,[],[f115]) ).

fof(f115,plain,
    ! [X0] :
      ( ( duplicatefreeP(X0)
      <=> ! [X1] :
            ( ! [X2] :
                ( ! [X3] :
                    ( ! [X4] :
                        ( ! [X5] :
                            ( X1 != X2
                            | app(app(X3,cons(X1,X4)),cons(X2,X5)) != X0
                            | ~ ssList(X5) )
                        | ~ ssList(X4) )
                    | ~ ssList(X3) )
                | ~ ssItem(X2) )
            | ~ ssItem(X1) ) )
      | ~ ssList(X0) ),
    inference(ennf_transformation,[],[f13]) ).

fof(f13,axiom,
    ! [X0] :
      ( ssList(X0)
     => ( duplicatefreeP(X0)
      <=> ! [X1] :
            ( ssItem(X1)
           => ! [X2] :
                ( ssItem(X2)
               => ! [X3] :
                    ( ssList(X3)
                   => ! [X4] :
                        ( ssList(X4)
                       => ! [X5] :
                            ( ssList(X5)
                           => ( app(app(X3,cons(X1,X4)),cons(X2,X5)) = X0
                             => X1 != X2 ) ) ) ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax13) ).

fof(f898,plain,
    ( spl80_16
    | ~ spl80_20 ),
    inference(avatar_contradiction_clause,[],[f897]) ).

fof(f897,plain,
    ( $false
    | spl80_16
    | ~ spl80_20 ),
    inference(subsumption_resolution,[],[f896,f560]) ).

fof(f896,plain,
    ( ~ ssList(sK59)
    | spl80_16
    | ~ spl80_20 ),
    inference(subsumption_resolution,[],[f895,f794]) ).

fof(f895,plain,
    ( ~ ssList(sF77)
    | ~ ssList(sK59)
    | spl80_16
    | ~ spl80_20 ),
    inference(subsumption_resolution,[],[f887,f892]) ).

fof(f892,plain,
    ( ~ ssList(sF78)
    | spl80_16
    | ~ spl80_20 ),
    inference(subsumption_resolution,[],[f883,f794]) ).

fof(f883,plain,
    ( ~ ssList(sF77)
    | ~ ssList(sF78)
    | spl80_16 ),
    inference(resolution,[],[f458,f739]) ).

fof(f739,plain,
    ( ~ ssList(app(sF78,sF77))
    | spl80_16 ),
    inference(avatar_component_clause,[],[f737]) ).

fof(f855,plain,
    spl80_20,
    inference(avatar_split_clause,[],[f854,f793]) ).

fof(f854,plain,
    ssList(sF77),
    inference(subsumption_resolution,[],[f853,f446]) ).

fof(f853,plain,
    ( ssList(sF77)
    | ~ ssList(nil) ),
    inference(subsumption_resolution,[],[f848,f559]) ).

fof(f848,plain,
    ( ssList(sF77)
    | ~ ssItem(sK58)
    | ~ ssList(nil) ),
    inference(superposition,[],[f445,f619]) ).

fof(f445,plain,
    ! [X0,X1] :
      ( ssList(cons(X1,X0))
      | ~ ssItem(X1)
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f120]) ).

fof(f120,plain,
    ! [X0] :
      ( ! [X1] :
          ( ssList(cons(X1,X0))
          | ~ ssItem(X1) )
      | ~ ssList(X0) ),
    inference(ennf_transformation,[],[f16]) ).

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

fof(f676,plain,
    ( spl80_9
    | spl80_10 ),
    inference(avatar_split_clause,[],[f564,f672,f667]) ).

fof(f564,plain,
    ( memberP(sK60,sK61)
    | memberP(sK59,sK61) ),
    inference(cnf_transformation,[],[f353]) ).

fof(f656,plain,
    ( spl80_5
    | spl80_6 ),
    inference(avatar_split_clause,[],[f598,f653,f649]) ).

fof(f598,plain,
    ( sP75(sK56)
    | nil = sK55 ),
    inference(inequality_splitting,[],[f568,f597]) ).

fof(f568,plain,
    ( nil != sK56
    | nil = sK55 ),
    inference(cnf_transformation,[],[f353]) ).

fof(f647,plain,
    ( spl80_4
    | ~ spl80_2 ),
    inference(avatar_split_clause,[],[f569,f634,f644]) ).

fof(f569,plain,
    ( ~ neq(sK56,nil)
    | ssItem(sK57) ),
    inference(cnf_transformation,[],[f353]) ).

fof(f642,plain,
    ( spl80_3
    | ~ spl80_2 ),
    inference(avatar_split_clause,[],[f618,f634,f639]) ).

fof(f618,plain,
    ( ~ neq(sK56,nil)
    | sK55 = sF76 ),
    inference(definition_folding,[],[f570,f617]) ).

fof(f570,plain,
    ( ~ neq(sK56,nil)
    | sK55 = cons(sK57,nil) ),
    inference(cnf_transformation,[],[f353]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13  % Problem    : SWC297+1 : TPTP v8.2.0. Released v2.4.0.
% 0.08/0.15  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.15/0.37  % Computer : n016.cluster.edu
% 0.15/0.37  % Model    : x86_64 x86_64
% 0.15/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.37  % Memory   : 8042.1875MB
% 0.15/0.37  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.37  % CPULimit   : 300
% 0.15/0.37  % WCLimit    : 300
% 0.15/0.37  % DateTime   : Sun May 19 03:22:38 EDT 2024
% 0.15/0.37  % CPUTime    : 
% 0.15/0.37  This is a FOF_THM_RFO_SEQ problem
% 0.15/0.37  Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.57/0.77  % (4977)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on theBenchmark for (2996ds/45Mi)
% 0.57/0.77  % (4979)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on theBenchmark for (2996ds/56Mi)
% 0.57/0.77  % (4978)lrs+21_1:5_sil=2000:sos=on:urr=on:newcnf=on:slsq=on:i=83:slsql=off:bd=off:nm=2:ss=axioms:st=1.5:sp=const_min:gsp=on:rawr=on_0 on theBenchmark for (2996ds/83Mi)
% 0.57/0.77  % (4972)dis-1011_2:1_sil=2000:lsd=20:nwc=5.0:flr=on:mep=off:st=3.0:i=34:sd=1:ep=RS:ss=axioms_0 on theBenchmark for (2996ds/34Mi)
% 0.57/0.77  % (4973)lrs+1011_461:32768_sil=16000:irw=on:sp=frequency:lsd=20:fd=preordered:nwc=10.0:s2agt=32:alpa=false:cond=fast:s2a=on:i=51:s2at=3.0:awrs=decay:awrsf=691:bd=off:nm=20:fsr=off:amm=sco:uhcvi=on:rawr=on_0 on theBenchmark for (2996ds/51Mi)
% 0.57/0.77  % (4976)lrs+2_1:1_sil=16000:fde=none:sos=all:nwc=5.0:i=34:ep=RS:s2pl=on:lma=on:afp=100000_0 on theBenchmark for (2996ds/34Mi)
% 0.57/0.77  % (4975)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on theBenchmark for (2996ds/33Mi)
% 0.57/0.78  % (4974)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on theBenchmark for (2996ds/78Mi)
% 0.57/0.78  % (4977)Instruction limit reached!
% 0.57/0.78  % (4977)------------------------------
% 0.57/0.78  % (4977)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.78  % (4977)Termination reason: Unknown
% 0.57/0.78  % (4977)Termination phase: Saturation
% 0.57/0.78  
% 0.57/0.78  % (4977)Memory used [KB]: 1647
% 0.57/0.78  % (4977)Time elapsed: 0.017 s
% 0.57/0.78  % (4977)Instructions burned: 45 (million)
% 0.57/0.78  % (4977)------------------------------
% 0.57/0.78  % (4977)------------------------------
% 0.57/0.78  % (4976)Instruction limit reached!
% 0.57/0.78  % (4976)------------------------------
% 0.57/0.78  % (4976)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.78  % (4976)Termination reason: Unknown
% 0.57/0.78  % (4976)Termination phase: Saturation
% 0.57/0.78  
% 0.57/0.78  % (4976)Memory used [KB]: 2070
% 0.57/0.78  % (4976)Time elapsed: 0.018 s
% 0.57/0.78  % (4976)Instructions burned: 34 (million)
% 0.57/0.78  % (4976)------------------------------
% 0.57/0.78  % (4976)------------------------------
% 0.57/0.78  % (4980)lrs+21_1:16_sil=2000:sp=occurrence:urr=on:flr=on:i=55:sd=1:nm=0:ins=3:ss=included:rawr=on:br=off_0 on theBenchmark for (2995ds/55Mi)
% 0.57/0.79  % (4975)Instruction limit reached!
% 0.57/0.79  % (4975)------------------------------
% 0.57/0.79  % (4975)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.79  % (4975)Termination reason: Unknown
% 0.57/0.79  % (4975)Termination phase: Saturation
% 0.57/0.79  
% 0.57/0.79  % (4975)Memory used [KB]: 1680
% 0.57/0.79  % (4975)Time elapsed: 0.018 s
% 0.57/0.79  % (4975)Instructions burned: 34 (million)
% 0.57/0.79  % (4975)------------------------------
% 0.57/0.79  % (4975)------------------------------
% 0.57/0.79  % (4972)Instruction limit reached!
% 0.57/0.79  % (4972)------------------------------
% 0.57/0.79  % (4972)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.79  % (4972)Termination reason: Unknown
% 0.57/0.79  % (4972)Termination phase: Saturation
% 0.57/0.79  
% 0.57/0.79  % (4972)Memory used [KB]: 1553
% 0.57/0.79  % (4972)Time elapsed: 0.018 s
% 0.57/0.79  % (4972)Instructions burned: 34 (million)
% 0.57/0.79  % (4972)------------------------------
% 0.57/0.79  % (4972)------------------------------
% 0.57/0.79  % (4981)dis+3_25:4_sil=16000:sos=all:erd=off:i=50:s2at=4.0:bd=off:nm=60:sup=off:cond=on:av=off:ins=2:nwc=10.0:etr=on:to=lpo:s2agt=20:fd=off:bsr=unit_only:slsq=on:slsqr=28,19:awrs=converge:awrsf=500:tgt=ground:bs=unit_only_0 on theBenchmark for (2995ds/50Mi)
% 0.66/0.79  % (4979)Instruction limit reached!
% 0.66/0.79  % (4979)------------------------------
% 0.66/0.79  % (4979)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.66/0.79  % (4979)Termination reason: Unknown
% 0.66/0.79  % (4979)Termination phase: Saturation
% 0.66/0.79  
% 0.66/0.79  % (4979)Memory used [KB]: 1696
% 0.66/0.79  % (4979)Time elapsed: 0.028 s
% 0.66/0.79  % (4979)Instructions burned: 56 (million)
% 0.66/0.79  % (4979)------------------------------
% 0.66/0.79  % (4979)------------------------------
% 0.66/0.79  % (4983)lrs-1011_1:1_sil=4000:plsq=on:plsqr=32,1:sp=frequency:plsql=on:nwc=10.0:i=52:aac=none:afr=on:ss=axioms:er=filter:sgt=16:rawr=on:etr=on:lma=on_0 on theBenchmark for (2995ds/52Mi)
% 0.66/0.80  % (4982)lrs+1010_1:2_sil=4000:tgt=ground:nwc=10.0:st=2.0:i=208:sd=1:bd=off:ss=axioms_0 on theBenchmark for (2995ds/208Mi)
% 0.66/0.80  % (4984)lrs-1010_1:1_to=lpo:sil=2000:sp=reverse_arity:sos=on:urr=ec_only:i=518:sd=2:bd=off:ss=axioms:sgt=16_0 on theBenchmark for (2995ds/518Mi)
% 0.66/0.80  % (4973)Instruction limit reached!
% 0.66/0.80  % (4973)------------------------------
% 0.66/0.80  % (4973)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.66/0.80  % (4973)Termination reason: Unknown
% 0.66/0.80  % (4973)Termination phase: Saturation
% 0.66/0.80  
% 0.66/0.80  % (4973)Memory used [KB]: 2004
% 0.66/0.80  % (4973)Time elapsed: 0.034 s
% 0.66/0.80  % (4973)Instructions burned: 52 (million)
% 0.66/0.80  % (4973)------------------------------
% 0.66/0.80  % (4973)------------------------------
% 0.66/0.80  % (4978)Instruction limit reached!
% 0.66/0.80  % (4978)------------------------------
% 0.66/0.80  % (4978)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.66/0.80  % (4978)Termination reason: Unknown
% 0.66/0.80  % (4978)Termination phase: Saturation
% 0.66/0.80  
% 0.66/0.80  % (4978)Memory used [KB]: 2111
% 0.66/0.80  % (4978)Time elapsed: 0.039 s
% 0.66/0.80  % (4978)Instructions burned: 83 (million)
% 0.66/0.80  % (4978)------------------------------
% 0.66/0.80  % (4978)------------------------------
% 0.66/0.80  % (4985)lrs+1011_87677:1048576_sil=8000:sos=on:spb=non_intro:nwc=10.0:kmz=on:i=42:ep=RS:nm=0:ins=1:uhcvi=on:rawr=on:fde=unused:afp=2000:afq=1.444:plsq=on:nicw=on_0 on theBenchmark for (2995ds/42Mi)
% 0.66/0.81  % (4983)Instruction limit reached!
% 0.66/0.81  % (4983)------------------------------
% 0.66/0.81  % (4983)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.66/0.81  % (4983)Termination reason: Unknown
% 0.66/0.81  % (4983)Termination phase: Saturation
% 0.66/0.81  
% 0.66/0.81  % (4983)Memory used [KB]: 1807
% 0.66/0.81  % (4983)Time elapsed: 0.017 s
% 0.66/0.81  % (4983)Instructions burned: 52 (million)
% 0.66/0.81  % (4983)------------------------------
% 0.66/0.81  % (4983)------------------------------
% 0.66/0.81  % (4986)dis+1011_1258907:1048576_bsr=unit_only:to=lpo:drc=off:sil=2000:tgt=full:fde=none:sp=frequency:spb=goal:rnwc=on:nwc=6.70083:sac=on:newcnf=on:st=2:i=243:bs=unit_only:sd=3:afp=300:awrs=decay:awrsf=218:nm=16:ins=3:afq=3.76821:afr=on:ss=axioms:sgt=5:rawr=on:add=off:bsd=on_0 on theBenchmark for (2995ds/243Mi)
% 0.66/0.81  % (4980)Instruction limit reached!
% 0.66/0.81  % (4980)------------------------------
% 0.66/0.81  % (4980)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.66/0.81  % (4987)lrs+1011_2:9_sil=2000:lsd=10:newcnf=on:i=117:sd=2:awrs=decay:ss=included:amm=off:ep=R_0 on theBenchmark for (2995ds/117Mi)
% 0.66/0.81  % (4980)Termination reason: Unknown
% 0.66/0.81  % (4980)Termination phase: Saturation
% 0.66/0.81  
% 0.66/0.81  % (4980)Memory used [KB]: 2245
% 0.66/0.81  % (4980)Time elapsed: 0.028 s
% 0.66/0.81  % (4980)Instructions burned: 55 (million)
% 0.66/0.81  % (4980)------------------------------
% 0.66/0.81  % (4980)------------------------------
% 0.66/0.81  % (4981)Instruction limit reached!
% 0.66/0.81  % (4981)------------------------------
% 0.66/0.81  % (4981)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.66/0.81  % (4981)Termination reason: Unknown
% 0.66/0.81  % (4981)Termination phase: Saturation
% 0.66/0.81  
% 0.66/0.81  % (4981)Memory used [KB]: 1924
% 0.66/0.81  % (4981)Time elapsed: 0.025 s
% 0.66/0.81  % (4981)Instructions burned: 51 (million)
% 0.66/0.81  % (4981)------------------------------
% 0.66/0.81  % (4981)------------------------------
% 0.66/0.81  % (4987)Refutation not found, incomplete strategy% (4987)------------------------------
% 0.66/0.81  % (4987)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.66/0.81  % (4987)Termination reason: Refutation not found, incomplete strategy
% 0.66/0.81  
% 0.66/0.81  % (4987)Memory used [KB]: 1179
% 0.66/0.81  % (4987)Time elapsed: 0.004 s
% 0.66/0.81  % (4987)Instructions burned: 9 (million)
% 0.66/0.81  % (4987)------------------------------
% 0.66/0.81  % (4987)------------------------------
% 0.66/0.82  % (4990)lrs+1666_1:1_sil=4000:sp=occurrence:sos=on:urr=on:newcnf=on:i=62:amm=off:ep=R:erd=off:nm=0:plsq=on:plsqr=14,1_0 on theBenchmark for (2995ds/62Mi)
% 0.66/0.82  % (4988)dis+1011_11:1_sil=2000:avsq=on:i=143:avsqr=1,16:ep=RS:rawr=on:aac=none:lsd=100:mep=off:fde=none:newcnf=on:bsr=unit_only_0 on theBenchmark for (2995ds/143Mi)
% 0.66/0.82  % (4989)lrs+1011_1:2_to=lpo:sil=8000:plsqc=1:plsq=on:plsqr=326,59:sp=weighted_frequency:plsql=on:nwc=10.0:newcnf=on:i=93:awrs=converge:awrsf=200:bd=off:ins=1:rawr=on:alpa=false:avsq=on:avsqr=1,16_0 on theBenchmark for (2995ds/93Mi)
% 0.66/0.83  % (4974)Instruction limit reached!
% 0.66/0.83  % (4974)------------------------------
% 0.66/0.83  % (4974)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.66/0.83  % (4974)Termination reason: Unknown
% 0.66/0.83  % (4974)Termination phase: Saturation
% 0.66/0.83  
% 0.66/0.83  % (4974)Memory used [KB]: 2118
% 0.66/0.83  % (4974)Time elapsed: 0.049 s
% 0.66/0.83  % (4974)Instructions burned: 79 (million)
% 0.66/0.83  % (4974)------------------------------
% 0.66/0.83  % (4974)------------------------------
% 0.66/0.83  % (4991)lrs+21_2461:262144_anc=none:drc=off:sil=2000:sp=occurrence:nwc=6.0:updr=off:st=3.0:i=32:sd=2:afp=4000:erml=3:nm=14:afq=2.0:uhcvi=on:ss=included:er=filter:abs=on:nicw=on:ile=on:sims=off:s2a=on:s2agt=50:s2at=-1.0:plsq=on:plsql=on:plsqc=2:plsqr=1,32:newcnf=on:bd=off:to=lpo_0 on theBenchmark for (2995ds/32Mi)
% 0.66/0.83  % (4985)Instruction limit reached!
% 0.66/0.83  % (4985)------------------------------
% 0.66/0.83  % (4985)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.66/0.83  % (4985)Termination reason: Unknown
% 0.66/0.83  % (4985)Termination phase: Saturation
% 0.66/0.83  
% 0.66/0.83  % (4985)Memory used [KB]: 2089
% 0.66/0.83  % (4985)Time elapsed: 0.031 s
% 0.66/0.83  % (4985)Instructions burned: 42 (million)
% 0.66/0.83  % (4985)------------------------------
% 0.66/0.83  % (4985)------------------------------
% 0.66/0.84  % (4990)Instruction limit reached!
% 0.66/0.84  % (4990)------------------------------
% 0.66/0.84  % (4990)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.66/0.84  % (4990)Termination reason: Unknown
% 0.66/0.84  % (4990)Termination phase: Saturation
% 0.66/0.84  
% 0.66/0.84  % (4990)Memory used [KB]: 2201
% 0.66/0.84  % (4990)Time elapsed: 0.020 s
% 0.66/0.84  % (4990)Instructions burned: 64 (million)
% 0.66/0.84  % (4990)------------------------------
% 0.66/0.84  % (4990)------------------------------
% 0.66/0.84  % (4993)ott-32_5:1_sil=4000:sp=occurrence:urr=full:rp=on:nwc=5.0:newcnf=on:st=5.0:s2pl=on:i=55:sd=2:ins=2:ss=included:rawr=on:anc=none:sos=on:s2agt=8:spb=intro:ep=RS:avsq=on:avsqr=27,155:lma=on_0 on theBenchmark for (2995ds/55Mi)
% 0.66/0.84  % (4992)dis+1011_1:1_sil=16000:nwc=7.0:s2agt=64:s2a=on:i=1919:ss=axioms:sgt=8:lsd=50:sd=7_0 on theBenchmark for (2995ds/1919Mi)
% 0.66/0.85  % (4991)Instruction limit reached!
% 0.66/0.85  % (4991)------------------------------
% 0.66/0.85  % (4991)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.66/0.85  % (4991)Termination reason: Unknown
% 0.66/0.85  % (4991)Termination phase: Saturation
% 0.66/0.85  
% 0.66/0.85  % (4991)Memory used [KB]: 1509
% 0.66/0.85  % (4991)Time elapsed: 0.021 s
% 0.66/0.85  % (4991)Instructions burned: 33 (million)
% 0.66/0.85  % (4991)------------------------------
% 0.66/0.85  % (4991)------------------------------
% 0.66/0.85  % (4989)Instruction limit reached!
% 0.66/0.85  % (4989)------------------------------
% 0.66/0.85  % (4989)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.66/0.85  % (4989)Termination reason: Unknown
% 0.66/0.85  % (4989)Termination phase: Saturation
% 0.66/0.85  
% 0.66/0.85  % (4989)Memory used [KB]: 2121
% 0.66/0.85  % (4989)Time elapsed: 0.034 s
% 0.66/0.85  % (4989)Instructions burned: 95 (million)
% 0.66/0.85  % (4989)------------------------------
% 0.66/0.85  % (4989)------------------------------
% 0.66/0.85  % (4994)lrs-1011_1:1_sil=2000:sos=on:urr=on:i=53:sd=1:bd=off:ins=3:av=off:ss=axioms:sgt=16:gsp=on:lsd=10_0 on theBenchmark for (2995ds/53Mi)
% 0.66/0.85  % (4993)Instruction limit reached!
% 0.66/0.85  % (4993)------------------------------
% 0.66/0.85  % (4993)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.66/0.85  % (4995)lrs+1011_6929:65536_anc=all_dependent:sil=2000:fde=none:plsqc=1:plsq=on:plsqr=19,8:plsql=on:nwc=3.0:i=46:afp=4000:ep=R:nm=3:fsr=off:afr=on:aer=off:gsp=on_0 on theBenchmark for (2995ds/46Mi)
% 0.66/0.85  % (4993)Termination reason: Unknown
% 0.66/0.85  % (4993)Termination phase: Saturation
% 0.66/0.85  
% 0.66/0.85  % (4993)Memory used [KB]: 2255
% 0.66/0.85  % (4993)Time elapsed: 0.017 s
% 0.66/0.85  % (4993)Instructions burned: 55 (million)
% 0.66/0.85  % (4993)------------------------------
% 0.66/0.85  % (4993)------------------------------
% 0.66/0.86  % (4996)dis+10_3:31_sil=2000:sp=frequency:abs=on:acc=on:lcm=reverse:nwc=3.0:alpa=random:st=3.0:i=102:sd=1:nm=4:ins=1:aer=off:ss=axioms_0 on theBenchmark for (2995ds/102Mi)
% 1.03/0.87  % (4995)Instruction limit reached!
% 1.03/0.87  % (4995)------------------------------
% 1.03/0.87  % (4995)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.03/0.87  % (4995)Termination reason: Unknown
% 1.03/0.87  % (4995)Termination phase: Saturation
% 1.03/0.87  
% 1.03/0.87  % (4995)Memory used [KB]: 2324
% 1.03/0.87  % (4995)Time elapsed: 0.016 s
% 1.03/0.87  % (4995)Instructions burned: 46 (million)
% 1.03/0.87  % (4995)------------------------------
% 1.03/0.87  % (4995)------------------------------
% 1.03/0.87  % (4997)ott+1011_9:29_slsqr=3,2:sil=2000:tgt=ground:lsd=10:lcm=predicate:avsqc=4:slsq=on:avsq=on:i=35:s2at=4.0:add=large:sd=1:avsqr=1,16:aer=off:ss=axioms:sgt=100:rawr=on:s2a=on:sac=on:afp=1:nwc=10.0:nm=64:bd=preordered:abs=on:rnwc=on:er=filter:nicw=on:spb=non_intro:lma=on_0 on theBenchmark for (2995ds/35Mi)
% 1.03/0.88  % (4994)Instruction limit reached!
% 1.03/0.88  % (4994)------------------------------
% 1.03/0.88  % (4994)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.03/0.88  % (4994)Termination reason: Unknown
% 1.03/0.88  % (4994)Termination phase: Saturation
% 1.03/0.88  
% 1.03/0.88  % (4994)Memory used [KB]: 1949
% 1.03/0.88  % (4994)Time elapsed: 0.026 s
% 1.03/0.88  % (4994)Instructions burned: 54 (million)
% 1.03/0.88  % (4994)------------------------------
% 1.03/0.88  % (4994)------------------------------
% 1.03/0.88  % (4998)dis+1003_1:1024_sil=4000:urr=on:newcnf=on:i=87:av=off:fsr=off:bce=on_0 on theBenchmark for (2995ds/87Mi)
% 1.03/0.88  % (4988)Instruction limit reached!
% 1.03/0.88  % (4988)------------------------------
% 1.03/0.88  % (4988)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.03/0.88  % (4988)Termination reason: Unknown
% 1.03/0.88  % (4988)Termination phase: Saturation
% 1.03/0.88  
% 1.03/0.88  % (4988)Memory used [KB]: 2383
% 1.03/0.88  % (4988)Time elapsed: 0.069 s
% 1.03/0.88  % (4988)Instructions burned: 143 (million)
% 1.03/0.88  % (4988)------------------------------
% 1.03/0.88  % (4988)------------------------------
% 1.03/0.89  % (4997)Instruction limit reached!
% 1.03/0.89  % (4997)------------------------------
% 1.03/0.89  % (4997)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.03/0.89  % (4997)Termination reason: Unknown
% 1.03/0.89  % (4997)Termination phase: Saturation
% 1.03/0.89  
% 1.03/0.89  % (4997)Memory used [KB]: 1538
% 1.03/0.89  % (4997)Time elapsed: 0.019 s
% 1.03/0.89  % (4997)Instructions burned: 35 (million)
% 1.03/0.89  % (4997)------------------------------
% 1.03/0.89  % (4997)------------------------------
% 1.03/0.89  % (4999)dis+1010_12107:524288_anc=none:drc=encompass:sil=2000:bsd=on:rp=on:nwc=10.0:alpa=random:i=109:kws=precedence:awrs=decay:awrsf=2:nm=16:ins=3:rawr=on:s2a=on:s2at=4.5:acc=on:flr=on_0 on theBenchmark for (2995ds/109Mi)
% 1.03/0.89  % (4996)Instruction limit reached!
% 1.03/0.89  % (4996)------------------------------
% 1.03/0.89  % (4996)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.03/0.89  % (4996)Termination reason: Unknown
% 1.03/0.89  % (4996)Termination phase: Saturation
% 1.03/0.89  
% 1.03/0.89  % (4996)Memory used [KB]: 3001
% 1.03/0.89  % (4996)Time elapsed: 0.037 s
% 1.03/0.89  % (4996)Instructions burned: 103 (million)
% 1.03/0.89  % (4996)------------------------------
% 1.03/0.89  % (4996)------------------------------
% 1.03/0.90  % (5001)lrs-1002_2:9_anc=none:sil=2000:plsqc=1:plsq=on:avsql=on:plsqr=2859761,1048576:erd=off:rp=on:nwc=21.7107:newcnf=on:avsq=on:i=69:aac=none:avsqr=6317,1048576:ep=RS:fsr=off:rawr=on:afp=50:afq=2.133940627822616:sac=on_0 on theBenchmark for (2994ds/69Mi)
% 1.03/0.90  % (5000)lrs+1002_1:16_sil=2000:sp=occurrence:sos=on:i=161:aac=none:bd=off:ss=included:sd=5:st=2.5:sup=off_0 on theBenchmark for (2994ds/161Mi)
% 1.03/0.90  % (4982)Instruction limit reached!
% 1.03/0.90  % (4982)------------------------------
% 1.03/0.90  % (4982)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.03/0.90  % (4982)Termination reason: Unknown
% 1.03/0.90  % (4982)Termination phase: Saturation
% 1.03/0.90  
% 1.03/0.90  % (4982)Memory used [KB]: 2772
% 1.03/0.90  % (4982)Time elapsed: 0.105 s
% 1.03/0.90  % (4982)Instructions burned: 208 (million)
% 1.03/0.90  % (4982)------------------------------
% 1.03/0.90  % (4982)------------------------------
% 1.32/0.90  % (5002)lrs+1010_1:512_sil=8000:tgt=ground:spb=units:gs=on:lwlo=on:nicw=on:gsem=on:st=1.5:i=40:nm=21:ss=included:nwc=5.3:afp=4000:afq=1.38:ins=1:bs=unit_only:awrs=converge:awrsf=10:bce=on_0 on theBenchmark for (2994ds/40Mi)
% 1.32/0.91  % (4998)Instruction limit reached!
% 1.32/0.91  % (4998)------------------------------
% 1.32/0.91  % (4998)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.32/0.91  % (4998)Termination reason: Unknown
% 1.32/0.91  % (4998)Termination phase: Saturation
% 1.32/0.91  
% 1.32/0.91  % (4998)Memory used [KB]: 3013
% 1.32/0.91  % (4998)Time elapsed: 0.028 s
% 1.32/0.91  % (4998)Instructions burned: 89 (million)
% 1.32/0.91  % (4998)------------------------------
% 1.32/0.91  % (4998)------------------------------
% 1.32/0.91  % (5003)ott+1011_1:3_drc=off:sil=4000:tgt=ground:fde=unused:plsq=on:sp=unary_first:fd=preordered:nwc=10.0:i=360:ins=1:rawr=on:bd=preordered_0 on theBenchmark for (2994ds/360Mi)
% 1.32/0.92  % (5001)Instruction limit reached!
% 1.32/0.92  % (5001)------------------------------
% 1.32/0.92  % (5001)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.32/0.92  % (5001)Termination reason: Unknown
% 1.32/0.92  % (5001)Termination phase: Saturation
% 1.32/0.92  
% 1.32/0.92  % (5001)Memory used [KB]: 2267
% 1.32/0.92  % (5001)Time elapsed: 0.024 s
% 1.32/0.92  % (5001)Instructions burned: 71 (million)
% 1.32/0.92  % (5001)------------------------------
% 1.32/0.92  % (5001)------------------------------
% 1.32/0.92  % (5004)dis+10_1:4_to=lpo:sil=2000:sos=on:spb=goal:rp=on:sac=on:newcnf=on:i=161:ss=axioms:aac=none_0 on theBenchmark for (2994ds/161Mi)
% 1.32/0.93  % (5002)Instruction limit reached!
% 1.32/0.93  % (5002)------------------------------
% 1.32/0.93  % (5002)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.32/0.93  % (5002)Termination reason: Unknown
% 1.32/0.93  % (5002)Termination phase: Saturation
% 1.32/0.93  
% 1.32/0.93  % (5002)Memory used [KB]: 1557
% 1.32/0.93  % (5002)Time elapsed: 0.046 s
% 1.32/0.93  % (5002)Instructions burned: 41 (million)
% 1.32/0.93  % (5002)------------------------------
% 1.32/0.93  % (5002)------------------------------
% 1.32/0.93  % (4986)Instruction limit reached!
% 1.32/0.93  % (4986)------------------------------
% 1.32/0.93  % (4986)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.32/0.93  % (4986)Termination reason: Unknown
% 1.32/0.93  % (4986)Termination phase: Saturation
% 1.32/0.93  
% 1.32/0.93  % (4986)Memory used [KB]: 2813
% 1.32/0.93  % (4986)Time elapsed: 0.125 s
% 1.32/0.93  % (4986)Instructions burned: 244 (million)
% 1.32/0.93  % (4986)------------------------------
% 1.32/0.93  % (4986)------------------------------
% 1.40/0.93  % (4999)Instruction limit reached!
% 1.40/0.93  % (4999)------------------------------
% 1.40/0.93  % (4999)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.40/0.93  % (4999)Termination reason: Unknown
% 1.40/0.93  % (4999)Termination phase: Saturation
% 1.40/0.93  
% 1.40/0.93  % (4999)Memory used [KB]: 2531
% 1.40/0.93  % (4999)Time elapsed: 0.047 s
% 1.40/0.93  % (4999)Instructions burned: 110 (million)
% 1.40/0.93  % (4999)------------------------------
% 1.40/0.93  % (4999)------------------------------
% 1.40/0.94  % (5005)lrs+1011_1:20_sil=4000:tgt=ground:i=80:sd=1:bd=off:nm=32:av=off:ss=axioms:lsd=60_0 on theBenchmark for (2994ds/80Mi)
% 1.40/0.94  % (5006)lrs+11_1:2_slsqr=1,2:sil=2000:sp=const_frequency:kmz=on:newcnf=on:slsq=on:i=37:s2at=1.5:awrs=converge:nm=2:uhcvi=on:ss=axioms:sgt=20:afp=10000:fs=off:fsr=off:bd=off:s2agt=5:fd=off:add=off:erd=off:foolp=on:nwc=10.0:rp=on_0 on theBenchmark for (2994ds/37Mi)
% 1.40/0.95  % (5006)Instruction limit reached!
% 1.40/0.95  % (5006)------------------------------
% 1.40/0.95  % (5006)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.40/0.95  % (5006)Termination reason: Unknown
% 1.40/0.95  % (5006)Termination phase: Saturation
% 1.40/0.95  
% 1.40/0.95  % (5006)Memory used [KB]: 2082
% 1.40/0.95  % (5006)Time elapsed: 0.038 s
% 1.40/0.95  % (5006)Instructions burned: 39 (million)
% 1.40/0.95  % (5006)------------------------------
% 1.40/0.95  % (5006)------------------------------
% 1.40/0.95  % (5007)lrs+1011_1:2_drc=encompass:sil=4000:fde=unused:sos=on:sac=on:newcnf=on:i=55:sd=10:bd=off:ins=1:uhcvi=on:ss=axioms:spb=non_intro:st=3.0:erd=off:s2a=on:nwc=3.0_0 on theBenchmark for (2994ds/55Mi)
% 1.40/0.95  % (5008)dis-1011_1:32_to=lpo:drc=off:sil=2000:sp=reverse_arity:sos=on:foolp=on:lsd=20:nwc=1.49509792053687:s2agt=30:avsq=on:s2a=on:s2pl=no:i=47:s2at=5.0:avsqr=5593,1048576:nm=0:fsr=off:amm=sco:rawr=on:awrs=converge:awrsf=427:ss=included:sd=1:slsq=on:fd=off_0 on theBenchmark for (2994ds/47Mi)
% 1.40/0.96  % (5000)Instruction limit reached!
% 1.40/0.96  % (5000)------------------------------
% 1.40/0.96  % (5000)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.40/0.96  % (5000)Termination reason: Unknown
% 1.40/0.96  % (5000)Termination phase: Saturation
% 1.40/0.96  
% 1.40/0.96  % (5000)Memory used [KB]: 1672
% 1.40/0.96  % (5000)Time elapsed: 0.063 s
% 1.40/0.96  % (5000)Instructions burned: 162 (million)
% 1.40/0.96  % (5000)------------------------------
% 1.40/0.96  % (5000)------------------------------
% 1.40/0.97  % (5004)Instruction limit reached!
% 1.40/0.97  % (5004)------------------------------
% 1.40/0.97  % (5004)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.40/0.97  % (5004)Termination reason: Unknown
% 1.40/0.97  % (5004)Termination phase: Saturation
% 1.40/0.97  
% 1.40/0.97  % (5004)Memory used [KB]: 2411
% 1.40/0.97  % (5004)Time elapsed: 0.068 s
% 1.40/0.97  % (5004)Instructions burned: 161 (million)
% 1.40/0.97  % (5004)------------------------------
% 1.40/0.97  % (5004)------------------------------
% 1.40/0.97  % (5009)lrs+10_1:1024_sil=2000:st=2.0:i=32:sd=2:ss=included:ep=R_0 on theBenchmark for (2994ds/32Mi)
% 1.40/0.97  % (5010)dis+1011_1:1_sil=4000:s2agt=4:slsqc=3:slsq=on:i=132:bd=off:av=off:sup=off:ss=axioms:st=3.0_0 on theBenchmark for (2994ds/132Mi)
% 1.40/0.97  % (5008)Instruction limit reached!
% 1.40/0.97  % (5008)------------------------------
% 1.40/0.97  % (5008)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.40/0.97  % (5008)Termination reason: Unknown
% 1.40/0.97  % (5008)Termination phase: Saturation
% 1.40/0.97  
% 1.40/0.97  % (5008)Memory used [KB]: 2078
% 1.40/0.97  % (5008)Time elapsed: 0.018 s
% 1.40/0.97  % (5008)Instructions burned: 47 (million)
% 1.40/0.97  % (5008)------------------------------
% 1.40/0.97  % (5008)------------------------------
% 1.40/0.97  % (5011)dis-1011_1:1024_sil=2000:fde=unused:sos=on:nwc=10.0:i=54:uhcvi=on:ss=axioms:ep=RS:av=off:sp=occurrence:fsr=off:awrs=decay:awrsf=200_0 on theBenchmark for (2994ds/54Mi)
% 1.40/0.98  % (5005)Instruction limit reached!
% 1.40/0.98  % (5005)------------------------------
% 1.40/0.98  % (5005)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.40/0.98  % (5005)Termination reason: Unknown
% 1.40/0.98  % (5005)Termination phase: Saturation
% 1.40/0.98  
% 1.40/0.98  % (5005)Memory used [KB]: 1689
% 1.40/0.98  % (5005)Time elapsed: 0.071 s
% 1.40/0.98  % (5005)Instructions burned: 80 (million)
% 1.40/0.98  % (5005)------------------------------
% 1.40/0.98  % (5005)------------------------------
% 1.40/0.98  % (5007)Instruction limit reached!
% 1.40/0.98  % (5007)------------------------------
% 1.40/0.98  % (5007)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.40/0.98  % (5007)Termination reason: Unknown
% 1.40/0.98  % (5007)Termination phase: Saturation
% 1.40/0.98  
% 1.40/0.98  % (5007)Memory used [KB]: 1849
% 1.40/0.98  % (5007)Time elapsed: 0.060 s
% 1.40/0.98  % (5007)Instructions burned: 55 (million)
% 1.40/0.98  % (5007)------------------------------
% 1.40/0.98  % (5007)------------------------------
% 1.40/0.98  % (5013)lrs+11_1:32_sil=2000:sp=occurrence:lsd=20:rp=on:i=119:sd=1:nm=0:av=off:ss=included:nwc=10.0:flr=on_0 on theBenchmark for (2993ds/119Mi)
% 1.40/0.98  % (5003)First to succeed.
% 1.40/0.98  % (5012)lrs+1011_1:2_to=lpo:drc=off:sil=2000:sp=const_min:urr=on:lcm=predicate:nwc=16.7073:updr=off:newcnf=on:i=82:av=off:rawr=on:ss=included:st=5.0:erd=off:flr=on_0 on theBenchmark for (2993ds/82Mi)
% 1.40/0.98  % (5009)Instruction limit reached!
% 1.40/0.98  % (5009)------------------------------
% 1.40/0.98  % (5009)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.40/0.98  % (5009)Termination reason: Unknown
% 1.40/0.98  % (5009)Termination phase: Saturation
% 1.40/0.98  
% 1.40/0.98  % (5009)Memory used [KB]: 1550
% 1.40/0.98  % (5009)Time elapsed: 0.018 s
% 1.40/0.98  % (5009)Instructions burned: 33 (million)
% 1.40/0.98  % (5009)------------------------------
% 1.40/0.98  % (5009)------------------------------
% 1.40/0.99  % (5003)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-4970"
% 1.40/0.99  % (5003)Refutation found. Thanks to Tanya!
% 1.40/0.99  % SZS status Theorem for theBenchmark
% 1.40/0.99  % SZS output start Proof for theBenchmark
% See solution above
% 1.40/0.99  % (5003)------------------------------
% 1.40/0.99  % (5003)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.40/0.99  % (5003)Termination reason: Refutation
% 1.40/0.99  
% 1.40/0.99  % (5003)Memory used [KB]: 3008
% 1.40/0.99  % (5003)Time elapsed: 0.098 s
% 1.40/0.99  % (5003)Instructions burned: 218 (million)
% 1.40/0.99  % (4970)Success in time 0.613 s
% 1.40/0.99  % Vampire---4.8 exiting
%------------------------------------------------------------------------------