TSTP Solution File: SWC232+1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : SWC232+1 : TPTP v8.1.0. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s

% Computer : n022.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Wed Aug 31 18:42:33 EDT 2022

% Result   : Theorem 11.52s 1.88s
% Output   : Refutation 11.52s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   13
%            Number of leaves      :  220
% Syntax   : Number of formulae    :  804 (  49 unt;   0 def)
%            Number of atoms       : 3070 ( 612 equ)
%            Maximal formula atoms :   52 (   3 avg)
%            Number of connectives : 3940 (1674   ~;1689   |; 307   &)
%                                         ( 189 <=>;  81  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   28 (   5 avg)
%            Maximal term depth    :    5 (   1 avg)
%            Number of predicates  :  192 ( 190 usr; 176 prp; 0-2 aty)
%            Number of functors    :   18 (  18 usr;  10 con; 0-3 aty)
%            Number of variables   :  633 ( 511   !; 122   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f2193,plain,
    $false,
    inference(avatar_smt_refutation,[],[f598,f603,f608,f617,f622,f627,f631,f636,f642,f647,f652,f657,f662,f663,f664,f669,f674,f679,f684,f685,f690,f694,f699,f702,f708,f713,f714,f722,f726,f736,f741,f746,f751,f761,f766,f771,f776,f815,f823,f831,f835,f848,f868,f873,f882,f888,f895,f909,f1027,f1031,f1036,f1040,f1041,f1045,f1047,f1048,f1066,f1071,f1076,f1081,f1082,f1092,f1093,f1107,f1133,f1142,f1147,f1151,f1152,f1153,f1176,f1181,f1191,f1192,f1198,f1221,f1225,f1229,f1233,f1238,f1239,f1244,f1245,f1249,f1288,f1292,f1296,f1300,f1304,f1305,f1306,f1310,f1315,f1322,f1340,f1345,f1350,f1352,f1360,f1361,f1378,f1382,f1387,f1392,f1397,f1417,f1431,f1455,f1463,f1468,f1473,f1478,f1493,f1511,f1513,f1515,f1516,f1518,f1539,f1542,f1543,f1557,f1609,f1626,f1634,f1647,f1652,f1657,f1664,f1668,f1673,f1686,f1691,f1696,f1709,f1722,f1728,f1730,f1753,f1759,f1764,f1769,f1774,f1779,f1784,f1789,f1797,f1802,f1808,f1838,f1843,f1848,f1850,f1875,f1879,f1883,f1886,f1897,f1902,f1919,f1924,f1925,f1930,f1935,f1936,f1958,f1963,f1968,f1973,f1978,f1983,f1988,f1993,f1998,f2026,f2030,f2034,f2039,f2049,f2053,f2059,f2099,f2103,f2108,f2112,f2128,f2132,f2137,f2148,f2155,f2161,f2173,f2181,f2185,f2191,f2192]) ).

fof(f2192,plain,
    ( ~ spl55_69
    | ~ spl55_68
    | ~ spl55_44
    | ~ spl55_111 ),
    inference(avatar_split_clause,[],[f2189,f1632,f870,f1211,f1215]) ).

fof(f1215,plain,
    ( spl55_69
  <=> ssList(sK28(sK39)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl55_69])]) ).

fof(f1211,plain,
    ( spl55_68
  <=> ssItem(sK29(sK39)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl55_68])]) ).

fof(f870,plain,
    ( spl55_44
  <=> cons(sK29(sK39),sK28(sK39)) = sK39 ),
    introduced(avatar_definition,[new_symbols(naming,[spl55_44])]) ).

fof(f1632,plain,
    ( spl55_111
  <=> ! [X0,X1] :
        ( cons(X1,X0) != sK39
        | ~ ssList(X0)
        | ~ ssItem(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl55_111])]) ).

fof(f2189,plain,
    ( ~ ssItem(sK29(sK39))
    | ~ ssList(sK28(sK39))
    | ~ spl55_44
    | ~ spl55_111 ),
    inference(trivial_inequality_removal,[],[f2186]) ).

fof(f2186,plain,
    ( ~ ssItem(sK29(sK39))
    | sK39 != sK39
    | ~ ssList(sK28(sK39))
    | ~ spl55_44
    | ~ spl55_111 ),
    inference(superposition,[],[f1633,f872]) ).

fof(f872,plain,
    ( cons(sK29(sK39),sK28(sK39)) = sK39
    | ~ spl55_44 ),
    inference(avatar_component_clause,[],[f870]) ).

fof(f1633,plain,
    ( ! [X0,X1] :
        ( cons(X1,X0) != sK39
        | ~ ssList(X0)
        | ~ ssItem(X1) )
    | ~ spl55_111 ),
    inference(avatar_component_clause,[],[f1632]) ).

fof(f2191,plain,
    ( ~ spl55_6
    | ~ spl55_1
    | ~ spl55_111
    | ~ spl55_135 ),
    inference(avatar_split_clause,[],[f2190,f1805,f1632,f591,f614]) ).

fof(f614,plain,
    ( spl55_6
  <=> ssItem(sK44) ),
    introduced(avatar_definition,[new_symbols(naming,[spl55_6])]) ).

fof(f591,plain,
    ( spl55_1
  <=> ssList(nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl55_1])]) ).

fof(f1805,plain,
    ( spl55_135
  <=> cons(sK44,nil) = sK39 ),
    introduced(avatar_definition,[new_symbols(naming,[spl55_135])]) ).

fof(f2190,plain,
    ( ~ ssList(nil)
    | ~ ssItem(sK44)
    | ~ spl55_111
    | ~ spl55_135 ),
    inference(trivial_inequality_removal,[],[f2188]) ).

fof(f2188,plain,
    ( ~ ssList(nil)
    | sK39 != sK39
    | ~ ssItem(sK44)
    | ~ spl55_111
    | ~ spl55_135 ),
    inference(superposition,[],[f1633,f1807]) ).

fof(f1807,plain,
    ( cons(sK44,nil) = sK39
    | ~ spl55_135 ),
    inference(avatar_component_clause,[],[f1805]) ).

fof(f2185,plain,
    ( ~ spl55_69
    | spl55_175
    | ~ spl55_71 ),
    inference(avatar_split_clause,[],[f2176,f1223,f2183,f1215]) ).

fof(f2183,plain,
    ( spl55_175
  <=> ! [X0,X1] :
        ( app(app(sK28(sK39),cons(X0,nil)),X1) != sK39
        | ~ ssList(X1)
        | ~ ssItem(X0)
        | ~ ssItem(sK43(X0,sK28(sK39),X1))
        | memberP(sK39,sK43(X0,sK28(sK39),X1)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl55_175])]) ).

fof(f1223,plain,
    ( spl55_71
  <=> ! [X0] :
        ( memberP(sK39,X0)
        | ~ ssItem(X0)
        | ~ memberP(sK28(sK39),X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl55_71])]) ).

fof(f2176,plain,
    ( ! [X0,X1] :
        ( app(app(sK28(sK39),cons(X0,nil)),X1) != sK39
        | memberP(sK39,sK43(X0,sK28(sK39),X1))
        | ~ ssItem(sK43(X0,sK28(sK39),X1))
        | ~ ssItem(X0)
        | ~ ssList(sK28(sK39))
        | ~ ssList(X1) )
    | ~ spl55_71 ),
    inference(resolution,[],[f1224,f501]) ).

fof(f501,plain,
    ! [X6,X4,X5] :
      ( memberP(X5,sK43(X4,X5,X6))
      | ~ ssList(X6)
      | ~ ssItem(X4)
      | app(app(X5,cons(X4,nil)),X6) != sK39
      | ~ ssList(X5) ),
    inference(cnf_transformation,[],[f324]) ).

fof(f324,plain,
    ( ssList(sK39)
    & nil != sK39
    & sK41 = sK39
    & sK40 = sK42
    & ! [X4] :
        ( ~ ssItem(X4)
        | ! [X5] :
            ( ! [X6] :
                ( app(app(X5,cons(X4,nil)),X6) != sK39
                | ~ ssList(X6)
                | ( ssItem(sK43(X4,X5,X6))
                  & memberP(X6,sK43(X4,X5,X6))
                  & leq(X4,sK43(X4,X5,X6))
                  & ~ lt(X4,sK43(X4,X5,X6))
                  & memberP(X5,sK43(X4,X5,X6)) ) )
            | ~ ssList(X5) ) )
    & ssList(sK42)
    & ( ( ssItem(sK44)
        & ssList(sK45)
        & sK41 = app(app(sK45,cons(sK44,nil)),sK46)
        & ssList(sK46)
        & ! [X11] :
            ( ~ ssItem(X11)
            | ~ memberP(sK46,X11)
            | leq(sK44,X11)
            | ~ memberP(sK45,X11)
            | ~ lt(sK44,X11) ) )
      | nil = sK41 )
    & ssList(sK41)
    & ssList(sK40) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK39,sK40,sK41,sK42,sK43,sK44,sK45,sK46])],[f315,f323,f322,f321,f320,f319,f318,f317,f316]) ).

fof(f316,plain,
    ( ? [X0] :
        ( ssList(X0)
        & ? [X1] :
            ( ? [X2] :
                ( ? [X3] :
                    ( nil != X0
                    & X0 = X2
                    & X1 = X3
                    & ! [X4] :
                        ( ~ ssItem(X4)
                        | ! [X5] :
                            ( ! [X6] :
                                ( app(app(X5,cons(X4,nil)),X6) != X0
                                | ~ ssList(X6)
                                | ? [X7] :
                                    ( ssItem(X7)
                                    & memberP(X6,X7)
                                    & leq(X4,X7)
                                    & ~ lt(X4,X7)
                                    & memberP(X5,X7) ) )
                            | ~ ssList(X5) ) )
                    & ssList(X3)
                    & ( ? [X8] :
                          ( ssItem(X8)
                          & ? [X9] :
                              ( ssList(X9)
                              & ? [X10] :
                                  ( app(app(X9,cons(X8,nil)),X10) = X2
                                  & ssList(X10)
                                  & ! [X11] :
                                      ( ~ ssItem(X11)
                                      | ~ memberP(X10,X11)
                                      | leq(X8,X11)
                                      | ~ memberP(X9,X11)
                                      | ~ lt(X8,X11) ) ) ) )
                      | nil = X2 ) )
                & ssList(X2) )
            & ssList(X1) ) )
   => ( ssList(sK39)
      & ? [X1] :
          ( ? [X2] :
              ( ? [X3] :
                  ( nil != sK39
                  & sK39 = X2
                  & X1 = X3
                  & ! [X4] :
                      ( ~ ssItem(X4)
                      | ! [X5] :
                          ( ! [X6] :
                              ( app(app(X5,cons(X4,nil)),X6) != sK39
                              | ~ ssList(X6)
                              | ? [X7] :
                                  ( ssItem(X7)
                                  & memberP(X6,X7)
                                  & leq(X4,X7)
                                  & ~ lt(X4,X7)
                                  & memberP(X5,X7) ) )
                          | ~ ssList(X5) ) )
                  & ssList(X3)
                  & ( ? [X8] :
                        ( ssItem(X8)
                        & ? [X9] :
                            ( ssList(X9)
                            & ? [X10] :
                                ( app(app(X9,cons(X8,nil)),X10) = X2
                                & ssList(X10)
                                & ! [X11] :
                                    ( ~ ssItem(X11)
                                    | ~ memberP(X10,X11)
                                    | leq(X8,X11)
                                    | ~ memberP(X9,X11)
                                    | ~ lt(X8,X11) ) ) ) )
                    | nil = X2 ) )
              & ssList(X2) )
          & ssList(X1) ) ) ),
    introduced(choice_axiom,[]) ).

fof(f317,plain,
    ( ? [X1] :
        ( ? [X2] :
            ( ? [X3] :
                ( nil != sK39
                & sK39 = X2
                & X1 = X3
                & ! [X4] :
                    ( ~ ssItem(X4)
                    | ! [X5] :
                        ( ! [X6] :
                            ( app(app(X5,cons(X4,nil)),X6) != sK39
                            | ~ ssList(X6)
                            | ? [X7] :
                                ( ssItem(X7)
                                & memberP(X6,X7)
                                & leq(X4,X7)
                                & ~ lt(X4,X7)
                                & memberP(X5,X7) ) )
                        | ~ ssList(X5) ) )
                & ssList(X3)
                & ( ? [X8] :
                      ( ssItem(X8)
                      & ? [X9] :
                          ( ssList(X9)
                          & ? [X10] :
                              ( app(app(X9,cons(X8,nil)),X10) = X2
                              & ssList(X10)
                              & ! [X11] :
                                  ( ~ ssItem(X11)
                                  | ~ memberP(X10,X11)
                                  | leq(X8,X11)
                                  | ~ memberP(X9,X11)
                                  | ~ lt(X8,X11) ) ) ) )
                  | nil = X2 ) )
            & ssList(X2) )
        & ssList(X1) )
   => ( ? [X2] :
          ( ? [X3] :
              ( nil != sK39
              & sK39 = X2
              & sK40 = X3
              & ! [X4] :
                  ( ~ ssItem(X4)
                  | ! [X5] :
                      ( ! [X6] :
                          ( app(app(X5,cons(X4,nil)),X6) != sK39
                          | ~ ssList(X6)
                          | ? [X7] :
                              ( ssItem(X7)
                              & memberP(X6,X7)
                              & leq(X4,X7)
                              & ~ lt(X4,X7)
                              & memberP(X5,X7) ) )
                      | ~ ssList(X5) ) )
              & ssList(X3)
              & ( ? [X8] :
                    ( ssItem(X8)
                    & ? [X9] :
                        ( ssList(X9)
                        & ? [X10] :
                            ( app(app(X9,cons(X8,nil)),X10) = X2
                            & ssList(X10)
                            & ! [X11] :
                                ( ~ ssItem(X11)
                                | ~ memberP(X10,X11)
                                | leq(X8,X11)
                                | ~ memberP(X9,X11)
                                | ~ lt(X8,X11) ) ) ) )
                | nil = X2 ) )
          & ssList(X2) )
      & ssList(sK40) ) ),
    introduced(choice_axiom,[]) ).

fof(f318,plain,
    ( ? [X2] :
        ( ? [X3] :
            ( nil != sK39
            & sK39 = X2
            & sK40 = X3
            & ! [X4] :
                ( ~ ssItem(X4)
                | ! [X5] :
                    ( ! [X6] :
                        ( app(app(X5,cons(X4,nil)),X6) != sK39
                        | ~ ssList(X6)
                        | ? [X7] :
                            ( ssItem(X7)
                            & memberP(X6,X7)
                            & leq(X4,X7)
                            & ~ lt(X4,X7)
                            & memberP(X5,X7) ) )
                    | ~ ssList(X5) ) )
            & ssList(X3)
            & ( ? [X8] :
                  ( ssItem(X8)
                  & ? [X9] :
                      ( ssList(X9)
                      & ? [X10] :
                          ( app(app(X9,cons(X8,nil)),X10) = X2
                          & ssList(X10)
                          & ! [X11] :
                              ( ~ ssItem(X11)
                              | ~ memberP(X10,X11)
                              | leq(X8,X11)
                              | ~ memberP(X9,X11)
                              | ~ lt(X8,X11) ) ) ) )
              | nil = X2 ) )
        & ssList(X2) )
   => ( ? [X3] :
          ( nil != sK39
          & sK41 = sK39
          & sK40 = X3
          & ! [X4] :
              ( ~ ssItem(X4)
              | ! [X5] :
                  ( ! [X6] :
                      ( app(app(X5,cons(X4,nil)),X6) != sK39
                      | ~ ssList(X6)
                      | ? [X7] :
                          ( ssItem(X7)
                          & memberP(X6,X7)
                          & leq(X4,X7)
                          & ~ lt(X4,X7)
                          & memberP(X5,X7) ) )
                  | ~ ssList(X5) ) )
          & ssList(X3)
          & ( ? [X8] :
                ( ssItem(X8)
                & ? [X9] :
                    ( ssList(X9)
                    & ? [X10] :
                        ( app(app(X9,cons(X8,nil)),X10) = sK41
                        & ssList(X10)
                        & ! [X11] :
                            ( ~ ssItem(X11)
                            | ~ memberP(X10,X11)
                            | leq(X8,X11)
                            | ~ memberP(X9,X11)
                            | ~ lt(X8,X11) ) ) ) )
            | nil = sK41 ) )
      & ssList(sK41) ) ),
    introduced(choice_axiom,[]) ).

fof(f319,plain,
    ( ? [X3] :
        ( nil != sK39
        & sK41 = sK39
        & sK40 = X3
        & ! [X4] :
            ( ~ ssItem(X4)
            | ! [X5] :
                ( ! [X6] :
                    ( app(app(X5,cons(X4,nil)),X6) != sK39
                    | ~ ssList(X6)
                    | ? [X7] :
                        ( ssItem(X7)
                        & memberP(X6,X7)
                        & leq(X4,X7)
                        & ~ lt(X4,X7)
                        & memberP(X5,X7) ) )
                | ~ ssList(X5) ) )
        & ssList(X3)
        & ( ? [X8] :
              ( ssItem(X8)
              & ? [X9] :
                  ( ssList(X9)
                  & ? [X10] :
                      ( app(app(X9,cons(X8,nil)),X10) = sK41
                      & ssList(X10)
                      & ! [X11] :
                          ( ~ ssItem(X11)
                          | ~ memberP(X10,X11)
                          | leq(X8,X11)
                          | ~ memberP(X9,X11)
                          | ~ lt(X8,X11) ) ) ) )
          | nil = sK41 ) )
   => ( nil != sK39
      & sK41 = sK39
      & sK40 = sK42
      & ! [X4] :
          ( ~ ssItem(X4)
          | ! [X5] :
              ( ! [X6] :
                  ( app(app(X5,cons(X4,nil)),X6) != sK39
                  | ~ ssList(X6)
                  | ? [X7] :
                      ( ssItem(X7)
                      & memberP(X6,X7)
                      & leq(X4,X7)
                      & ~ lt(X4,X7)
                      & memberP(X5,X7) ) )
              | ~ ssList(X5) ) )
      & ssList(sK42)
      & ( ? [X8] :
            ( ssItem(X8)
            & ? [X9] :
                ( ssList(X9)
                & ? [X10] :
                    ( app(app(X9,cons(X8,nil)),X10) = sK41
                    & ssList(X10)
                    & ! [X11] :
                        ( ~ ssItem(X11)
                        | ~ memberP(X10,X11)
                        | leq(X8,X11)
                        | ~ memberP(X9,X11)
                        | ~ lt(X8,X11) ) ) ) )
        | nil = sK41 ) ) ),
    introduced(choice_axiom,[]) ).

fof(f320,plain,
    ! [X4,X5,X6] :
      ( ? [X7] :
          ( ssItem(X7)
          & memberP(X6,X7)
          & leq(X4,X7)
          & ~ lt(X4,X7)
          & memberP(X5,X7) )
     => ( ssItem(sK43(X4,X5,X6))
        & memberP(X6,sK43(X4,X5,X6))
        & leq(X4,sK43(X4,X5,X6))
        & ~ lt(X4,sK43(X4,X5,X6))
        & memberP(X5,sK43(X4,X5,X6)) ) ),
    introduced(choice_axiom,[]) ).

fof(f321,plain,
    ( ? [X8] :
        ( ssItem(X8)
        & ? [X9] :
            ( ssList(X9)
            & ? [X10] :
                ( app(app(X9,cons(X8,nil)),X10) = sK41
                & ssList(X10)
                & ! [X11] :
                    ( ~ ssItem(X11)
                    | ~ memberP(X10,X11)
                    | leq(X8,X11)
                    | ~ memberP(X9,X11)
                    | ~ lt(X8,X11) ) ) ) )
   => ( ssItem(sK44)
      & ? [X9] :
          ( ssList(X9)
          & ? [X10] :
              ( sK41 = app(app(X9,cons(sK44,nil)),X10)
              & ssList(X10)
              & ! [X11] :
                  ( ~ ssItem(X11)
                  | ~ memberP(X10,X11)
                  | leq(sK44,X11)
                  | ~ memberP(X9,X11)
                  | ~ lt(sK44,X11) ) ) ) ) ),
    introduced(choice_axiom,[]) ).

fof(f322,plain,
    ( ? [X9] :
        ( ssList(X9)
        & ? [X10] :
            ( sK41 = app(app(X9,cons(sK44,nil)),X10)
            & ssList(X10)
            & ! [X11] :
                ( ~ ssItem(X11)
                | ~ memberP(X10,X11)
                | leq(sK44,X11)
                | ~ memberP(X9,X11)
                | ~ lt(sK44,X11) ) ) )
   => ( ssList(sK45)
      & ? [X10] :
          ( sK41 = app(app(sK45,cons(sK44,nil)),X10)
          & ssList(X10)
          & ! [X11] :
              ( ~ ssItem(X11)
              | ~ memberP(X10,X11)
              | leq(sK44,X11)
              | ~ memberP(sK45,X11)
              | ~ lt(sK44,X11) ) ) ) ),
    introduced(choice_axiom,[]) ).

fof(f323,plain,
    ( ? [X10] :
        ( sK41 = app(app(sK45,cons(sK44,nil)),X10)
        & ssList(X10)
        & ! [X11] :
            ( ~ ssItem(X11)
            | ~ memberP(X10,X11)
            | leq(sK44,X11)
            | ~ memberP(sK45,X11)
            | ~ lt(sK44,X11) ) )
   => ( sK41 = app(app(sK45,cons(sK44,nil)),sK46)
      & ssList(sK46)
      & ! [X11] :
          ( ~ ssItem(X11)
          | ~ memberP(sK46,X11)
          | leq(sK44,X11)
          | ~ memberP(sK45,X11)
          | ~ lt(sK44,X11) ) ) ),
    introduced(choice_axiom,[]) ).

fof(f315,plain,
    ? [X0] :
      ( ssList(X0)
      & ? [X1] :
          ( ? [X2] :
              ( ? [X3] :
                  ( nil != X0
                  & X0 = X2
                  & X1 = X3
                  & ! [X4] :
                      ( ~ ssItem(X4)
                      | ! [X5] :
                          ( ! [X6] :
                              ( app(app(X5,cons(X4,nil)),X6) != X0
                              | ~ ssList(X6)
                              | ? [X7] :
                                  ( ssItem(X7)
                                  & memberP(X6,X7)
                                  & leq(X4,X7)
                                  & ~ lt(X4,X7)
                                  & memberP(X5,X7) ) )
                          | ~ ssList(X5) ) )
                  & ssList(X3)
                  & ( ? [X8] :
                        ( ssItem(X8)
                        & ? [X9] :
                            ( ssList(X9)
                            & ? [X10] :
                                ( app(app(X9,cons(X8,nil)),X10) = X2
                                & ssList(X10)
                                & ! [X11] :
                                    ( ~ ssItem(X11)
                                    | ~ memberP(X10,X11)
                                    | leq(X8,X11)
                                    | ~ memberP(X9,X11)
                                    | ~ lt(X8,X11) ) ) ) )
                    | nil = X2 ) )
              & ssList(X2) )
          & ssList(X1) ) ),
    inference(rectify,[],[f155]) ).

fof(f155,plain,
    ? [X0] :
      ( ssList(X0)
      & ? [X1] :
          ( ? [X2] :
              ( ? [X3] :
                  ( nil != X0
                  & X0 = X2
                  & X1 = X3
                  & ! [X8] :
                      ( ~ ssItem(X8)
                      | ! [X9] :
                          ( ! [X10] :
                              ( app(app(X9,cons(X8,nil)),X10) != X0
                              | ~ ssList(X10)
                              | ? [X11] :
                                  ( ssItem(X11)
                                  & memberP(X10,X11)
                                  & leq(X8,X11)
                                  & ~ lt(X8,X11)
                                  & memberP(X9,X11) ) )
                          | ~ ssList(X9) ) )
                  & ssList(X3)
                  & ( ? [X4] :
                        ( ssItem(X4)
                        & ? [X5] :
                            ( ssList(X5)
                            & ? [X6] :
                                ( app(app(X5,cons(X4,nil)),X6) = X2
                                & ssList(X6)
                                & ! [X7] :
                                    ( ~ ssItem(X7)
                                    | ~ memberP(X6,X7)
                                    | leq(X4,X7)
                                    | ~ memberP(X5,X7)
                                    | ~ lt(X4,X7) ) ) ) )
                    | nil = X2 ) )
              & ssList(X2) )
          & ssList(X1) ) ),
    inference(flattening,[],[f154]) ).

fof(f154,plain,
    ? [X0] :
      ( ? [X1] :
          ( ? [X2] :
              ( ? [X3] :
                  ( ( ? [X4] :
                        ( ? [X5] :
                            ( ? [X6] :
                                ( app(app(X5,cons(X4,nil)),X6) = X2
                                & ! [X7] :
                                    ( ~ ssItem(X7)
                                    | ~ memberP(X6,X7)
                                    | leq(X4,X7)
                                    | ~ memberP(X5,X7)
                                    | ~ lt(X4,X7) )
                                & ssList(X6) )
                            & ssList(X5) )
                        & ssItem(X4) )
                    | nil = X2 )
                  & ! [X8] :
                      ( ! [X9] :
                          ( ! [X10] :
                              ( app(app(X9,cons(X8,nil)),X10) != X0
                              | ? [X11] :
                                  ( ~ lt(X8,X11)
                                  & memberP(X10,X11)
                                  & leq(X8,X11)
                                  & memberP(X9,X11)
                                  & ssItem(X11) )
                              | ~ ssList(X10) )
                          | ~ ssList(X9) )
                      | ~ ssItem(X8) )
                  & X0 = X2
                  & X1 = X3
                  & nil != X0
                  & 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)
                   => ( ( ! [X4] :
                            ( ssItem(X4)
                           => ! [X5] :
                                ( ssList(X5)
                               => ! [X6] :
                                    ( ssList(X6)
                                   => ( app(app(X5,cons(X4,nil)),X6) != X2
                                      | ? [X7] :
                                          ( lt(X4,X7)
                                          & memberP(X6,X7)
                                          & memberP(X5,X7)
                                          & ~ leq(X4,X7)
                                          & ssItem(X7) ) ) ) ) )
                        & nil != X2 )
                      | ? [X8] :
                          ( ? [X9] :
                              ( ? [X10] :
                                  ( app(app(X9,cons(X8,nil)),X10) = X0
                                  & ! [X11] :
                                      ( ssItem(X11)
                                     => ( lt(X8,X11)
                                        | ~ memberP(X10,X11)
                                        | ~ leq(X8,X11)
                                        | ~ memberP(X9,X11) ) )
                                  & ssList(X10) )
                              & ssList(X9) )
                          & ssItem(X8) )
                      | X0 != X2
                      | X1 != X3
                      | nil = X0 ) ) ) ) ),
    inference(rectify,[],[f97]) ).

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

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

fof(f1224,plain,
    ( ! [X0] :
        ( ~ memberP(sK28(sK39),X0)
        | ~ ssItem(X0)
        | memberP(sK39,X0) )
    | ~ spl55_71 ),
    inference(avatar_component_clause,[],[f1223]) ).

fof(f2181,plain,
    ( ~ spl55_69
    | spl55_174
    | ~ spl55_71 ),
    inference(avatar_split_clause,[],[f2177,f1223,f2179,f1215]) ).

fof(f2179,plain,
    ( spl55_174
  <=> ! [X2,X3] :
        ( memberP(sK39,sK43(X2,X3,sK28(sK39)))
        | ~ ssItem(X2)
        | ~ ssItem(sK43(X2,X3,sK28(sK39)))
        | app(app(X3,cons(X2,nil)),sK28(sK39)) != sK39
        | ~ ssList(X3) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl55_174])]) ).

fof(f2177,plain,
    ( ! [X2,X3] :
        ( memberP(sK39,sK43(X2,X3,sK28(sK39)))
        | ~ ssList(sK28(sK39))
        | ~ ssList(X3)
        | app(app(X3,cons(X2,nil)),sK28(sK39)) != sK39
        | ~ ssItem(sK43(X2,X3,sK28(sK39)))
        | ~ ssItem(X2) )
    | ~ spl55_71 ),
    inference(resolution,[],[f1224,f504]) ).

fof(f504,plain,
    ! [X6,X4,X5] :
      ( memberP(X6,sK43(X4,X5,X6))
      | app(app(X5,cons(X4,nil)),X6) != sK39
      | ~ ssList(X5)
      | ~ ssItem(X4)
      | ~ ssList(X6) ),
    inference(cnf_transformation,[],[f324]) ).

fof(f2173,plain,
    ( spl55_173
    | ~ spl55_6
    | ~ spl55_135 ),
    inference(avatar_split_clause,[],[f2169,f1805,f614,f2171]) ).

fof(f2171,plain,
    ( spl55_173
  <=> ! [X4,X5,X3] :
        ( sK39 != app(app(X3,sK39),X4)
        | ~ ssList(X3)
        | ~ ssList(X5)
        | ~ ssList(X4)
        | app(cons(sK43(sK44,X3,X4),nil),X5) = cons(sK43(sK44,X3,X4),X5) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl55_173])]) ).

fof(f2169,plain,
    ( ! [X3,X4,X5] :
        ( ~ ssItem(sK44)
        | sK39 != app(app(X3,sK39),X4)
        | app(cons(sK43(sK44,X3,X4),nil),X5) = cons(sK43(sK44,X3,X4),X5)
        | ~ ssList(X4)
        | ~ ssList(X5)
        | ~ ssList(X3) )
    | ~ spl55_135 ),
    inference(superposition,[],[f921,f1807]) ).

fof(f921,plain,
    ! [X2,X3,X4,X5] :
      ( sK39 != app(app(X4,cons(X3,nil)),X5)
      | ~ ssList(X2)
      | ~ ssList(X4)
      | ~ ssList(X5)
      | ~ ssItem(X3)
      | app(cons(sK43(X3,X4,X5),nil),X2) = cons(sK43(X3,X4,X5),X2) ),
    inference(resolution,[],[f487,f505]) ).

fof(f505,plain,
    ! [X6,X4,X5] :
      ( ssItem(sK43(X4,X5,X6))
      | ~ ssList(X6)
      | ~ ssItem(X4)
      | ~ ssList(X5)
      | app(app(X5,cons(X4,nil)),X6) != sK39 ),
    inference(cnf_transformation,[],[f324]) ).

fof(f487,plain,
    ! [X0,X1] :
      ( ~ ssItem(X1)
      | ~ ssList(X0)
      | cons(X1,X0) = app(cons(X1,nil),X0) ),
    inference(cnf_transformation,[],[f130]) ).

fof(f130,plain,
    ! [X0] :
      ( ! [X1] :
          ( ~ ssItem(X1)
          | cons(X1,X0) = app(cons(X1,nil),X0) )
      | ~ 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(f2161,plain,
    ( ~ spl55_68
    | spl55_172
    | ~ spl55_6
    | ~ spl55_116
    | ~ spl55_135 ),
    inference(avatar_split_clause,[],[f2157,f1805,f1666,f614,f2159,f1211]) ).

fof(f2159,plain,
    ( spl55_172
  <=> ! [X4,X3] :
        ( ~ ssList(X4)
        | memberP(app(X4,cons(sK44,X3)),sK29(sK39))
        | ~ ssList(X3)
        | ~ ssList(cons(sK44,X3)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl55_172])]) ).

fof(f1666,plain,
    ( spl55_116
  <=> ! [X0] :
        ( memberP(app(sK39,X0),sK29(sK39))
        | ~ ssList(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl55_116])]) ).

fof(f2157,plain,
    ( ! [X3,X4] :
        ( ~ ssList(X4)
        | ~ ssList(X3)
        | ~ ssList(cons(sK44,X3))
        | ~ ssItem(sK29(sK39))
        | memberP(app(X4,cons(sK44,X3)),sK29(sK39)) )
    | ~ spl55_6
    | ~ spl55_116
    | ~ spl55_135 ),
    inference(forward_subsumption_demodulation,[],[f2156,f1809]) ).

fof(f1809,plain,
    ( ! [X6] :
        ( ~ ssList(X6)
        | app(sK39,X6) = cons(sK44,X6) )
    | ~ spl55_6
    | ~ spl55_135 ),
    inference(backward_demodulation,[],[f922,f1807]) ).

fof(f922,plain,
    ( ! [X6] :
        ( ~ ssList(X6)
        | app(cons(sK44,nil),X6) = cons(sK44,X6) )
    | ~ spl55_6 ),
    inference(resolution,[],[f487,f616]) ).

fof(f616,plain,
    ( ssItem(sK44)
    | ~ spl55_6 ),
    inference(avatar_component_clause,[],[f614]) ).

fof(f2156,plain,
    ( ! [X3,X4] :
        ( memberP(app(X4,app(sK39,X3)),sK29(sK39))
        | ~ ssList(X3)
        | ~ ssItem(sK29(sK39))
        | ~ ssList(cons(sK44,X3))
        | ~ ssList(X4) )
    | ~ spl55_6
    | ~ spl55_116
    | ~ spl55_135 ),
    inference(forward_subsumption_demodulation,[],[f2140,f1809]) ).

fof(f2140,plain,
    ( ! [X3,X4] :
        ( ~ ssList(X4)
        | ~ ssList(X3)
        | ~ ssList(app(sK39,X3))
        | memberP(app(X4,app(sK39,X3)),sK29(sK39))
        | ~ ssItem(sK29(sK39)) )
    | ~ spl55_116 ),
    inference(resolution,[],[f1667,f536]) ).

fof(f536,plain,
    ! [X2,X0,X1] :
      ( ~ memberP(X2,X0)
      | memberP(app(X1,X2),X0)
      | ~ ssItem(X0)
      | ~ ssList(X1)
      | ~ ssList(X2) ),
    inference(cnf_transformation,[],[f340]) ).

fof(f340,plain,
    ! [X0] :
      ( ~ ssItem(X0)
      | ! [X1] :
          ( ! [X2] :
              ( ( ( memberP(app(X1,X2),X0)
                  | ( ~ memberP(X1,X0)
                    & ~ memberP(X2,X0) ) )
                & ( memberP(X1,X0)
                  | memberP(X2,X0)
                  | ~ memberP(app(X1,X2),X0) ) )
              | ~ ssList(X2) )
          | ~ ssList(X1) ) ),
    inference(flattening,[],[f339]) ).

fof(f339,plain,
    ! [X0] :
      ( ~ ssItem(X0)
      | ! [X1] :
          ( ! [X2] :
              ( ( ( memberP(app(X1,X2),X0)
                  | ( ~ memberP(X1,X0)
                    & ~ memberP(X2,X0) ) )
                & ( memberP(X1,X0)
                  | memberP(X2,X0)
                  | ~ memberP(app(X1,X2),X0) ) )
              | ~ ssList(X2) )
          | ~ ssList(X1) ) ),
    inference(nnf_transformation,[],[f208]) ).

fof(f208,plain,
    ! [X0] :
      ( ~ ssItem(X0)
      | ! [X1] :
          ( ! [X2] :
              ( ( memberP(app(X1,X2),X0)
              <=> ( memberP(X1,X0)
                  | memberP(X2,X0) ) )
              | ~ ssList(X2) )
          | ~ ssList(X1) ) ),
    inference(ennf_transformation,[],[f36]) ).

fof(f36,axiom,
    ! [X0] :
      ( ssItem(X0)
     => ! [X1] :
          ( ssList(X1)
         => ! [X2] :
              ( ssList(X2)
             => ( memberP(app(X1,X2),X0)
              <=> ( memberP(X1,X0)
                  | memberP(X2,X0) ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax36) ).

fof(f1667,plain,
    ( ! [X0] :
        ( memberP(app(sK39,X0),sK29(sK39))
        | ~ ssList(X0) )
    | ~ spl55_116 ),
    inference(avatar_component_clause,[],[f1666]) ).

fof(f2155,plain,
    ( ~ spl55_68
    | spl55_171
    | ~ spl55_6
    | ~ spl55_116
    | ~ spl55_135 ),
    inference(avatar_split_clause,[],[f2151,f1805,f1666,f614,f2153,f1211]) ).

fof(f2153,plain,
    ( spl55_171
  <=> ! [X2,X1] :
        ( ~ ssList(cons(sK44,X1))
        | memberP(cons(sK44,app(X1,X2)),sK29(sK39))
        | ~ ssList(X1)
        | ~ ssList(X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl55_171])]) ).

fof(f2151,plain,
    ( ! [X2,X1] :
        ( ~ ssList(cons(sK44,X1))
        | ~ ssList(X2)
        | ~ ssList(X1)
        | memberP(cons(sK44,app(X1,X2)),sK29(sK39))
        | ~ ssItem(sK29(sK39)) )
    | ~ spl55_6
    | ~ spl55_116
    | ~ spl55_135 ),
    inference(forward_subsumption_demodulation,[],[f2150,f1001]) ).

fof(f1001,plain,
    ( ! [X8,X9] :
        ( ~ ssList(X8)
        | app(cons(sK44,X8),X9) = cons(sK44,app(X8,X9))
        | ~ ssList(X9) )
    | ~ spl55_6 ),
    inference(resolution,[],[f545,f616]) ).

fof(f545,plain,
    ! [X2,X0,X1] :
      ( ~ ssItem(X2)
      | ~ ssList(X1)
      | cons(X2,app(X1,X0)) = app(cons(X2,X1),X0)
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f118]) ).

fof(f118,plain,
    ! [X0] :
      ( ~ ssList(X0)
      | ! [X1] :
          ( ~ ssList(X1)
          | ! [X2] :
              ( ~ ssItem(X2)
              | cons(X2,app(X1,X0)) = app(cons(X2,X1),X0) ) ) ),
    inference(ennf_transformation,[],[f27]) ).

fof(f27,axiom,
    ! [X0] :
      ( ssList(X0)
     => ! [X1] :
          ( ssList(X1)
         => ! [X2] :
              ( ssItem(X2)
             => cons(X2,app(X1,X0)) = app(cons(X2,X1),X0) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax27) ).

fof(f2150,plain,
    ( ! [X2,X1] :
        ( ~ ssItem(sK29(sK39))
        | memberP(app(cons(sK44,X1),X2),sK29(sK39))
        | ~ ssList(X2)
        | ~ ssList(X1)
        | ~ ssList(cons(sK44,X1)) )
    | ~ spl55_6
    | ~ spl55_116
    | ~ spl55_135 ),
    inference(forward_subsumption_demodulation,[],[f2149,f1809]) ).

fof(f2149,plain,
    ( ! [X2,X1] :
        ( ~ ssList(X1)
        | ~ ssList(cons(sK44,X1))
        | ~ ssItem(sK29(sK39))
        | memberP(app(app(sK39,X1),X2),sK29(sK39))
        | ~ ssList(X2) )
    | ~ spl55_6
    | ~ spl55_116
    | ~ spl55_135 ),
    inference(forward_subsumption_demodulation,[],[f2139,f1809]) ).

fof(f2139,plain,
    ( ! [X2,X1] :
        ( ~ ssItem(sK29(sK39))
        | ~ ssList(app(sK39,X1))
        | ~ ssList(X2)
        | memberP(app(app(sK39,X1),X2),sK29(sK39))
        | ~ ssList(X1) )
    | ~ spl55_116 ),
    inference(resolution,[],[f1667,f537]) ).

fof(f537,plain,
    ! [X2,X0,X1] :
      ( ~ memberP(X1,X0)
      | ~ ssList(X2)
      | ~ ssItem(X0)
      | memberP(app(X1,X2),X0)
      | ~ ssList(X1) ),
    inference(cnf_transformation,[],[f340]) ).

fof(f2148,plain,
    ( ~ spl55_68
    | spl55_170
    | ~ spl55_6
    | ~ spl55_116
    | ~ spl55_135 ),
    inference(avatar_split_clause,[],[f2144,f1805,f1666,f614,f2146,f1211]) ).

fof(f2146,plain,
    ( spl55_170
  <=> ! [X0] :
        ( ~ ssList(cons(sK44,X0))
        | app(sK36(cons(sK44,X0),sK29(sK39)),cons(sK29(sK39),sK37(cons(sK44,X0),sK29(sK39)))) = cons(sK44,X0)
        | ~ ssList(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl55_170])]) ).

fof(f2144,plain,
    ( ! [X0] :
        ( ~ ssList(cons(sK44,X0))
        | ~ ssItem(sK29(sK39))
        | ~ ssList(X0)
        | app(sK36(cons(sK44,X0),sK29(sK39)),cons(sK29(sK39),sK37(cons(sK44,X0),sK29(sK39)))) = cons(sK44,X0) )
    | ~ spl55_6
    | ~ spl55_116
    | ~ spl55_135 ),
    inference(forward_subsumption_demodulation,[],[f2143,f1809]) ).

fof(f2143,plain,
    ( ! [X0] :
        ( app(sK36(cons(sK44,X0),sK29(sK39)),cons(sK29(sK39),sK37(cons(sK44,X0),sK29(sK39)))) = cons(sK44,X0)
        | ~ ssList(X0)
        | ~ ssItem(sK29(sK39))
        | ~ ssList(app(sK39,X0)) )
    | ~ spl55_6
    | ~ spl55_116
    | ~ spl55_135 ),
    inference(forward_subsumption_demodulation,[],[f2138,f1809]) ).

fof(f2138,plain,
    ( ! [X0] :
        ( ~ ssItem(sK29(sK39))
        | app(sK39,X0) = app(sK36(app(sK39,X0),sK29(sK39)),cons(sK29(sK39),sK37(app(sK39,X0),sK29(sK39))))
        | ~ ssList(app(sK39,X0))
        | ~ ssList(X0) )
    | ~ spl55_116 ),
    inference(resolution,[],[f1667,f477]) ).

fof(f477,plain,
    ! [X0,X1] :
      ( ~ memberP(X0,X1)
      | ~ ssList(X0)
      | app(sK36(X0,X1),cons(X1,sK37(X0,X1))) = X0
      | ~ ssItem(X1) ),
    inference(cnf_transformation,[],[f309]) ).

fof(f309,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( ( memberP(X0,X1)
              | ! [X2] :
                  ( ! [X3] :
                      ( ~ ssList(X3)
                      | app(X2,cons(X1,X3)) != X0 )
                  | ~ ssList(X2) ) )
            & ( ( ssList(sK37(X0,X1))
                & app(sK36(X0,X1),cons(X1,sK37(X0,X1))) = X0
                & ssList(sK36(X0,X1)) )
              | ~ memberP(X0,X1) ) )
          | ~ ssItem(X1) )
      | ~ ssList(X0) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK36,sK37])],[f306,f308,f307]) ).

fof(f307,plain,
    ! [X0,X1] :
      ( ? [X4] :
          ( ? [X5] :
              ( ssList(X5)
              & app(X4,cons(X1,X5)) = X0 )
          & ssList(X4) )
     => ( ? [X5] :
            ( ssList(X5)
            & app(sK36(X0,X1),cons(X1,X5)) = X0 )
        & ssList(sK36(X0,X1)) ) ),
    introduced(choice_axiom,[]) ).

fof(f308,plain,
    ! [X0,X1] :
      ( ? [X5] :
          ( ssList(X5)
          & app(sK36(X0,X1),cons(X1,X5)) = X0 )
     => ( ssList(sK37(X0,X1))
        & app(sK36(X0,X1),cons(X1,sK37(X0,X1))) = X0 ) ),
    introduced(choice_axiom,[]) ).

fof(f306,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( ( memberP(X0,X1)
              | ! [X2] :
                  ( ! [X3] :
                      ( ~ ssList(X3)
                      | app(X2,cons(X1,X3)) != X0 )
                  | ~ ssList(X2) ) )
            & ( ? [X4] :
                  ( ? [X5] :
                      ( ssList(X5)
                      & app(X4,cons(X1,X5)) = X0 )
                  & ssList(X4) )
              | ~ memberP(X0,X1) ) )
          | ~ ssItem(X1) )
      | ~ ssList(X0) ),
    inference(rectify,[],[f305]) ).

fof(f305,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( ( memberP(X0,X1)
              | ! [X2] :
                  ( ! [X3] :
                      ( ~ ssList(X3)
                      | app(X2,cons(X1,X3)) != X0 )
                  | ~ ssList(X2) ) )
            & ( ? [X2] :
                  ( ? [X3] :
                      ( ssList(X3)
                      & app(X2,cons(X1,X3)) = X0 )
                  & ssList(X2) )
              | ~ memberP(X0,X1) ) )
          | ~ ssItem(X1) )
      | ~ ssList(X0) ),
    inference(nnf_transformation,[],[f162]) ).

fof(f162,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( memberP(X0,X1)
          <=> ? [X2] :
                ( ? [X3] :
                    ( ssList(X3)
                    & app(X2,cons(X1,X3)) = X0 )
                & ssList(X2) ) )
          | ~ ssItem(X1) )
      | ~ ssList(X0) ),
    inference(ennf_transformation,[],[f3]) ).

fof(f3,axiom,
    ! [X0] :
      ( ssList(X0)
     => ! [X1] :
          ( ssItem(X1)
         => ( memberP(X0,X1)
          <=> ? [X2] :
                ( ? [X3] :
                    ( ssList(X3)
                    & app(X2,cons(X1,X3)) = X0 )
                & ssList(X2) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax3) ).

fof(f2137,plain,
    ( spl55_169
    | ~ spl55_144
    | ~ spl55_68
    | ~ spl55_165 ),
    inference(avatar_split_clause,[],[f2120,f2105,f1211,f1921,f2134]) ).

fof(f2134,plain,
    ( spl55_169
  <=> cons(sK44,sK39) = app(sK36(cons(sK44,sK39),sK29(sK39)),cons(sK29(sK39),sK37(cons(sK44,sK39),sK29(sK39)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl55_169])]) ).

fof(f1921,plain,
    ( spl55_144
  <=> ssList(cons(sK44,sK39)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl55_144])]) ).

fof(f2105,plain,
    ( spl55_165
  <=> memberP(cons(sK44,sK39),sK29(sK39)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl55_165])]) ).

fof(f2120,plain,
    ( ~ ssItem(sK29(sK39))
    | ~ ssList(cons(sK44,sK39))
    | cons(sK44,sK39) = app(sK36(cons(sK44,sK39),sK29(sK39)),cons(sK29(sK39),sK37(cons(sK44,sK39),sK29(sK39))))
    | ~ spl55_165 ),
    inference(resolution,[],[f2107,f477]) ).

fof(f2107,plain,
    ( memberP(cons(sK44,sK39),sK29(sK39))
    | ~ spl55_165 ),
    inference(avatar_component_clause,[],[f2105]) ).

fof(f2132,plain,
    ( ~ spl55_68
    | ~ spl55_144
    | spl55_168
    | ~ spl55_165 ),
    inference(avatar_split_clause,[],[f2122,f2105,f2130,f1921,f1211]) ).

fof(f2130,plain,
    ( spl55_168
  <=> ! [X1] :
        ( memberP(app(X1,cons(sK44,sK39)),sK29(sK39))
        | ~ ssList(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl55_168])]) ).

fof(f2122,plain,
    ( ! [X1] :
        ( memberP(app(X1,cons(sK44,sK39)),sK29(sK39))
        | ~ ssList(cons(sK44,sK39))
        | ~ ssList(X1)
        | ~ ssItem(sK29(sK39)) )
    | ~ spl55_165 ),
    inference(resolution,[],[f2107,f536]) ).

fof(f2128,plain,
    ( ~ spl55_144
    | ~ spl55_68
    | spl55_167
    | ~ spl55_6
    | ~ spl55_8
    | ~ spl55_135
    | ~ spl55_165 ),
    inference(avatar_split_clause,[],[f2124,f2105,f1805,f624,f614,f2126,f1211,f1921]) ).

fof(f2126,plain,
    ( spl55_167
  <=> ! [X0] :
        ( memberP(cons(sK44,cons(sK44,X0)),sK29(sK39))
        | ~ ssList(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl55_167])]) ).

fof(f624,plain,
    ( spl55_8
  <=> ssList(sK39) ),
    introduced(avatar_definition,[new_symbols(naming,[spl55_8])]) ).

fof(f2124,plain,
    ( ! [X0] :
        ( memberP(cons(sK44,cons(sK44,X0)),sK29(sK39))
        | ~ ssList(X0)
        | ~ ssItem(sK29(sK39))
        | ~ ssList(cons(sK44,sK39)) )
    | ~ spl55_6
    | ~ spl55_8
    | ~ spl55_135
    | ~ spl55_165 ),
    inference(forward_subsumption_demodulation,[],[f2123,f1809]) ).

fof(f2123,plain,
    ( ! [X0] :
        ( ~ ssList(X0)
        | ~ ssList(cons(sK44,sK39))
        | memberP(cons(sK44,app(sK39,X0)),sK29(sK39))
        | ~ ssItem(sK29(sK39)) )
    | ~ spl55_6
    | ~ spl55_8
    | ~ spl55_165 ),
    inference(forward_subsumption_demodulation,[],[f2121,f1617]) ).

fof(f1617,plain,
    ( ! [X16] :
        ( ~ ssList(X16)
        | cons(sK44,app(sK39,X16)) = app(cons(sK44,sK39),X16) )
    | ~ spl55_6
    | ~ spl55_8 ),
    inference(resolution,[],[f1001,f626]) ).

fof(f626,plain,
    ( ssList(sK39)
    | ~ spl55_8 ),
    inference(avatar_component_clause,[],[f624]) ).

fof(f2121,plain,
    ( ! [X0] :
        ( ~ ssList(X0)
        | memberP(app(cons(sK44,sK39),X0),sK29(sK39))
        | ~ ssItem(sK29(sK39))
        | ~ ssList(cons(sK44,sK39)) )
    | ~ spl55_165 ),
    inference(resolution,[],[f2107,f537]) ).

fof(f2112,plain,
    ( ~ spl55_68
    | spl55_166
    | ~ spl55_115 ),
    inference(avatar_split_clause,[],[f2092,f1662,f2110,f1211]) ).

fof(f2110,plain,
    ( spl55_166
  <=> ! [X2,X1] :
        ( ~ ssList(app(X1,sK39))
        | memberP(app(app(X1,sK39),X2),sK29(sK39))
        | ~ ssList(X1)
        | ~ ssList(X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl55_166])]) ).

fof(f1662,plain,
    ( spl55_115
  <=> ! [X1] :
        ( memberP(app(X1,sK39),sK29(sK39))
        | ~ ssList(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl55_115])]) ).

fof(f2092,plain,
    ( ! [X2,X1] :
        ( ~ ssList(app(X1,sK39))
        | ~ ssList(X2)
        | ~ ssList(X1)
        | ~ ssItem(sK29(sK39))
        | memberP(app(app(X1,sK39),X2),sK29(sK39)) )
    | ~ spl55_115 ),
    inference(resolution,[],[f1663,f537]) ).

fof(f1663,plain,
    ( ! [X1] :
        ( memberP(app(X1,sK39),sK29(sK39))
        | ~ ssList(X1) )
    | ~ spl55_115 ),
    inference(avatar_component_clause,[],[f1662]) ).

fof(f2108,plain,
    ( spl55_165
    | ~ spl55_8
    | ~ spl55_115
    | ~ spl55_137 ),
    inference(avatar_split_clause,[],[f2095,f1840,f1662,f624,f2105]) ).

fof(f1840,plain,
    ( spl55_137
  <=> cons(sK44,sK39) = app(sK39,sK39) ),
    introduced(avatar_definition,[new_symbols(naming,[spl55_137])]) ).

fof(f2095,plain,
    ( ~ ssList(sK39)
    | memberP(cons(sK44,sK39),sK29(sK39))
    | ~ spl55_115
    | ~ spl55_137 ),
    inference(superposition,[],[f1663,f1842]) ).

fof(f1842,plain,
    ( cons(sK44,sK39) = app(sK39,sK39)
    | ~ spl55_137 ),
    inference(avatar_component_clause,[],[f1840]) ).

fof(f2103,plain,
    ( spl55_164
    | ~ spl55_68
    | ~ spl55_115 ),
    inference(avatar_split_clause,[],[f2091,f1662,f1211,f2101]) ).

fof(f2101,plain,
    ( spl55_164
  <=> ! [X0] :
        ( ~ ssList(app(X0,sK39))
        | app(sK36(app(X0,sK39),sK29(sK39)),cons(sK29(sK39),sK37(app(X0,sK39),sK29(sK39)))) = app(X0,sK39)
        | ~ ssList(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl55_164])]) ).

fof(f2091,plain,
    ( ! [X0] :
        ( ~ ssItem(sK29(sK39))
        | ~ ssList(app(X0,sK39))
        | ~ ssList(X0)
        | app(sK36(app(X0,sK39),sK29(sK39)),cons(sK29(sK39),sK37(app(X0,sK39),sK29(sK39)))) = app(X0,sK39) )
    | ~ spl55_115 ),
    inference(resolution,[],[f1663,f477]) ).

fof(f2099,plain,
    ( ~ spl55_68
    | spl55_163
    | ~ spl55_115 ),
    inference(avatar_split_clause,[],[f2093,f1662,f2097,f1211]) ).

fof(f2097,plain,
    ( spl55_163
  <=> ! [X4,X3] :
        ( ~ ssList(X4)
        | ~ ssList(X3)
        | ~ ssList(app(X3,sK39))
        | memberP(app(X4,app(X3,sK39)),sK29(sK39)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl55_163])]) ).

fof(f2093,plain,
    ( ! [X3,X4] :
        ( ~ ssList(X4)
        | memberP(app(X4,app(X3,sK39)),sK29(sK39))
        | ~ ssList(app(X3,sK39))
        | ~ ssList(X3)
        | ~ ssItem(sK29(sK39)) )
    | ~ spl55_115 ),
    inference(resolution,[],[f1663,f536]) ).

fof(f2059,plain,
    ( ~ spl55_6
    | ~ spl55_144
    | spl55_162
    | ~ spl55_6
    | ~ spl55_8
    | ~ spl55_135
    | ~ spl55_159 ),
    inference(avatar_split_clause,[],[f2055,f2036,f1805,f624,f614,f2057,f1921,f614]) ).

fof(f2057,plain,
    ( spl55_162
  <=> ! [X0] :
        ( memberP(cons(sK44,cons(sK44,X0)),sK44)
        | ~ ssList(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl55_162])]) ).

fof(f2036,plain,
    ( spl55_159
  <=> memberP(cons(sK44,sK39),sK44) ),
    introduced(avatar_definition,[new_symbols(naming,[spl55_159])]) ).

fof(f2055,plain,
    ( ! [X0] :
        ( memberP(cons(sK44,cons(sK44,X0)),sK44)
        | ~ ssList(cons(sK44,sK39))
        | ~ ssList(X0)
        | ~ ssItem(sK44) )
    | ~ spl55_6
    | ~ spl55_8
    | ~ spl55_135
    | ~ spl55_159 ),
    inference(forward_subsumption_demodulation,[],[f2054,f1809]) ).

fof(f2054,plain,
    ( ! [X0] :
        ( ~ ssItem(sK44)
        | memberP(cons(sK44,app(sK39,X0)),sK44)
        | ~ ssList(X0)
        | ~ ssList(cons(sK44,sK39)) )
    | ~ spl55_6
    | ~ spl55_8
    | ~ spl55_159 ),
    inference(forward_subsumption_demodulation,[],[f2042,f1617]) ).

fof(f2042,plain,
    ( ! [X0] :
        ( ~ ssList(X0)
        | memberP(app(cons(sK44,sK39),X0),sK44)
        | ~ ssItem(sK44)
        | ~ ssList(cons(sK44,sK39)) )
    | ~ spl55_159 ),
    inference(resolution,[],[f2038,f537]) ).

fof(f2038,plain,
    ( memberP(cons(sK44,sK39),sK44)
    | ~ spl55_159 ),
    inference(avatar_component_clause,[],[f2036]) ).

fof(f2053,plain,
    ( ~ spl55_6
    | spl55_161
    | ~ spl55_144
    | ~ spl55_159 ),
    inference(avatar_split_clause,[],[f2043,f2036,f1921,f2051,f614]) ).

fof(f2051,plain,
    ( spl55_161
  <=> ! [X1] :
        ( ~ ssList(X1)
        | memberP(app(X1,cons(sK44,sK39)),sK44) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl55_161])]) ).

fof(f2043,plain,
    ( ! [X1] :
        ( ~ ssList(cons(sK44,sK39))
        | ~ ssList(X1)
        | ~ ssItem(sK44)
        | memberP(app(X1,cons(sK44,sK39)),sK44) )
    | ~ spl55_159 ),
    inference(resolution,[],[f2038,f536]) ).

fof(f2049,plain,
    ( ~ spl55_6
    | spl55_160
    | ~ spl55_144
    | ~ spl55_159 ),
    inference(avatar_split_clause,[],[f2041,f2036,f1921,f2046,f614]) ).

fof(f2046,plain,
    ( spl55_160
  <=> cons(sK44,sK39) = app(sK36(cons(sK44,sK39),sK44),cons(sK44,sK37(cons(sK44,sK39),sK44))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl55_160])]) ).

fof(f2041,plain,
    ( ~ ssList(cons(sK44,sK39))
    | cons(sK44,sK39) = app(sK36(cons(sK44,sK39),sK44),cons(sK44,sK37(cons(sK44,sK39),sK44)))
    | ~ ssItem(sK44)
    | ~ spl55_159 ),
    inference(resolution,[],[f2038,f477]) ).

fof(f2039,plain,
    ( ~ spl55_8
    | spl55_159
    | ~ spl55_137
    | ~ spl55_142 ),
    inference(avatar_split_clause,[],[f2021,f1900,f1840,f2036,f624]) ).

fof(f1900,plain,
    ( spl55_142
  <=> ! [X1] :
        ( memberP(app(X1,sK39),sK44)
        | ~ ssList(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl55_142])]) ).

fof(f2021,plain,
    ( memberP(cons(sK44,sK39),sK44)
    | ~ ssList(sK39)
    | ~ spl55_137
    | ~ spl55_142 ),
    inference(superposition,[],[f1901,f1842]) ).

fof(f1901,plain,
    ( ! [X1] :
        ( memberP(app(X1,sK39),sK44)
        | ~ ssList(X1) )
    | ~ spl55_142 ),
    inference(avatar_component_clause,[],[f1900]) ).

fof(f2034,plain,
    ( spl55_158
    | ~ spl55_6
    | ~ spl55_142 ),
    inference(avatar_split_clause,[],[f2019,f1900,f614,f2032]) ).

fof(f2032,plain,
    ( spl55_158
  <=> ! [X4,X5] :
        ( memberP(app(X5,app(X4,sK39)),sK44)
        | ~ ssList(X5)
        | ~ ssList(X4)
        | ~ ssList(app(X4,sK39)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl55_158])]) ).

fof(f2019,plain,
    ( ! [X4,X5] :
        ( ~ ssItem(sK44)
        | memberP(app(X5,app(X4,sK39)),sK44)
        | ~ ssList(app(X4,sK39))
        | ~ ssList(X4)
        | ~ ssList(X5) )
    | ~ spl55_142 ),
    inference(resolution,[],[f1901,f536]) ).

fof(f2030,plain,
    ( ~ spl55_6
    | spl55_157
    | ~ spl55_142 ),
    inference(avatar_split_clause,[],[f2017,f1900,f2028,f614]) ).

fof(f2028,plain,
    ( spl55_157
  <=> ! [X1] :
        ( ~ ssList(X1)
        | app(X1,sK39) = app(sK36(app(X1,sK39),sK44),cons(sK44,sK37(app(X1,sK39),sK44)))
        | ~ ssList(app(X1,sK39)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl55_157])]) ).

fof(f2017,plain,
    ( ! [X1] :
        ( ~ ssList(X1)
        | ~ ssItem(sK44)
        | ~ ssList(app(X1,sK39))
        | app(X1,sK39) = app(sK36(app(X1,sK39),sK44),cons(sK44,sK37(app(X1,sK39),sK44))) )
    | ~ spl55_142 ),
    inference(resolution,[],[f1901,f477]) ).

fof(f2026,plain,
    ( ~ spl55_6
    | spl55_156
    | ~ spl55_142 ),
    inference(avatar_split_clause,[],[f2018,f1900,f2024,f614]) ).

fof(f2024,plain,
    ( spl55_156
  <=> ! [X2,X3] :
        ( ~ ssList(X3)
        | ~ ssList(X2)
        | memberP(app(app(X2,sK39),X3),sK44)
        | ~ ssList(app(X2,sK39)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl55_156])]) ).

fof(f2018,plain,
    ( ! [X2,X3] :
        ( ~ ssList(X3)
        | ~ ssList(X2)
        | ~ ssItem(sK44)
        | ~ ssList(app(X2,sK39))
        | memberP(app(app(X2,sK39),X3),sK44) )
    | ~ spl55_142 ),
    inference(resolution,[],[f1901,f537]) ).

fof(f1998,plain,
    ( spl55_155
    | spl55_145
    | ~ spl55_144 ),
    inference(avatar_split_clause,[],[f1943,f1921,f1927,f1995]) ).

fof(f1995,plain,
    ( spl55_155
  <=> cons(sK44,sK39) = cons(sK29(cons(sK44,sK39)),sK28(cons(sK44,sK39))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl55_155])]) ).

fof(f1927,plain,
    ( spl55_145
  <=> nil = cons(sK44,sK39) ),
    introduced(avatar_definition,[new_symbols(naming,[spl55_145])]) ).

fof(f1943,plain,
    ( nil = cons(sK44,sK39)
    | cons(sK44,sK39) = cons(sK29(cons(sK44,sK39)),sK28(cons(sK44,sK39)))
    | ~ spl55_144 ),
    inference(resolution,[],[f1923,f452]) ).

fof(f452,plain,
    ! [X0] :
      ( ~ ssList(X0)
      | nil = X0
      | cons(sK29(X0),sK28(X0)) = X0 ),
    inference(cnf_transformation,[],[f290]) ).

fof(f290,plain,
    ! [X0] :
      ( nil = X0
      | ( ssList(sK28(X0))
        & ssItem(sK29(X0))
        & cons(sK29(X0),sK28(X0)) = X0 )
      | ~ ssList(X0) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK28,sK29])],[f223,f289,f288]) ).

fof(f288,plain,
    ! [X0] :
      ( ? [X1] :
          ( ssList(X1)
          & ? [X2] :
              ( ssItem(X2)
              & cons(X2,X1) = X0 ) )
     => ( ssList(sK28(X0))
        & ? [X2] :
            ( ssItem(X2)
            & cons(X2,sK28(X0)) = X0 ) ) ),
    introduced(choice_axiom,[]) ).

fof(f289,plain,
    ! [X0] :
      ( ? [X2] :
          ( ssItem(X2)
          & cons(X2,sK28(X0)) = X0 )
     => ( ssItem(sK29(X0))
        & cons(sK29(X0),sK28(X0)) = X0 ) ),
    introduced(choice_axiom,[]) ).

fof(f223,plain,
    ! [X0] :
      ( nil = X0
      | ? [X1] :
          ( ssList(X1)
          & ? [X2] :
              ( ssItem(X2)
              & cons(X2,X1) = X0 ) )
      | ~ ssList(X0) ),
    inference(flattening,[],[f222]) ).

fof(f222,plain,
    ! [X0] :
      ( ? [X1] :
          ( ssList(X1)
          & ? [X2] :
              ( ssItem(X2)
              & cons(X2,X1) = X0 ) )
      | nil = X0
      | ~ ssList(X0) ),
    inference(ennf_transformation,[],[f20]) ).

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

fof(f1923,plain,
    ( ssList(cons(sK44,sK39))
    | ~ spl55_144 ),
    inference(avatar_component_clause,[],[f1921]) ).

fof(f1993,plain,
    ( spl55_154
    | ~ spl55_144 ),
    inference(avatar_split_clause,[],[f1945,f1921,f1990]) ).

fof(f1990,plain,
    ( spl55_154
  <=> cons(sK44,sK39) = app(nil,cons(sK44,sK39)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl55_154])]) ).

fof(f1945,plain,
    ( cons(sK44,sK39) = app(nil,cons(sK44,sK39))
    | ~ spl55_144 ),
    inference(resolution,[],[f1923,f546]) ).

fof(f546,plain,
    ! [X0] :
      ( ~ ssList(X0)
      | app(nil,X0) = X0 ),
    inference(cnf_transformation,[],[f153]) ).

fof(f153,plain,
    ! [X0] :
      ( ~ ssList(X0)
      | app(nil,X0) = X0 ),
    inference(ennf_transformation,[],[f28]) ).

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

fof(f1988,plain,
    ( spl55_145
    | spl55_153
    | ~ spl55_144 ),
    inference(avatar_split_clause,[],[f1946,f1921,f1985,f1927]) ).

fof(f1985,plain,
    ( spl55_153
  <=> sK28(cons(sK44,sK39)) = app(nil,sK28(cons(sK44,sK39))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl55_153])]) ).

fof(f1946,plain,
    ( sK28(cons(sK44,sK39)) = app(nil,sK28(cons(sK44,sK39)))
    | nil = cons(sK44,sK39)
    | ~ spl55_144 ),
    inference(resolution,[],[f1923,f785]) ).

fof(f785,plain,
    ! [X0] :
      ( ~ ssList(X0)
      | app(nil,sK28(X0)) = sK28(X0)
      | nil = X0 ),
    inference(resolution,[],[f454,f546]) ).

fof(f454,plain,
    ! [X0] :
      ( ssList(sK28(X0))
      | nil = X0
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f290]) ).

fof(f1983,plain,
    ( spl55_152
    | ~ spl55_3
    | ~ spl55_144 ),
    inference(avatar_split_clause,[],[f1948,f1921,f600,f1980]) ).

fof(f1980,plain,
    ( spl55_152
  <=> cons(sK47,cons(sK44,sK39)) = app(cons(sK47,nil),cons(sK44,sK39)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl55_152])]) ).

fof(f600,plain,
    ( spl55_3
  <=> ssItem(sK47) ),
    introduced(avatar_definition,[new_symbols(naming,[spl55_3])]) ).

fof(f1948,plain,
    ( cons(sK47,cons(sK44,sK39)) = app(cons(sK47,nil),cons(sK44,sK39))
    | ~ spl55_3
    | ~ spl55_144 ),
    inference(resolution,[],[f1923,f923]) ).

fof(f923,plain,
    ( ! [X7] :
        ( ~ ssList(X7)
        | cons(sK47,X7) = app(cons(sK47,nil),X7) )
    | ~ spl55_3 ),
    inference(resolution,[],[f487,f602]) ).

fof(f602,plain,
    ( ssItem(sK47)
    | ~ spl55_3 ),
    inference(avatar_component_clause,[],[f600]) ).

fof(f1978,plain,
    ( spl55_151
    | ~ spl55_18
    | ~ spl55_144 ),
    inference(avatar_split_clause,[],[f1949,f1921,f676,f1975]) ).

fof(f1975,plain,
    ( spl55_151
  <=> cons(sK48,cons(sK44,sK39)) = app(cons(sK48,nil),cons(sK44,sK39)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl55_151])]) ).

fof(f676,plain,
    ( spl55_18
  <=> ssItem(sK48) ),
    introduced(avatar_definition,[new_symbols(naming,[spl55_18])]) ).

fof(f1949,plain,
    ( cons(sK48,cons(sK44,sK39)) = app(cons(sK48,nil),cons(sK44,sK39))
    | ~ spl55_18
    | ~ spl55_144 ),
    inference(resolution,[],[f1923,f924]) ).

fof(f924,plain,
    ( ! [X8] :
        ( ~ ssList(X8)
        | app(cons(sK48,nil),X8) = cons(sK48,X8) )
    | ~ spl55_18 ),
    inference(resolution,[],[f487,f678]) ).

fof(f678,plain,
    ( ssItem(sK48)
    | ~ spl55_18 ),
    inference(avatar_component_clause,[],[f676]) ).

fof(f1973,plain,
    ( spl55_150
    | spl55_145
    | ~ spl55_144 ),
    inference(avatar_split_clause,[],[f1947,f1921,f1927,f1970]) ).

fof(f1970,plain,
    ( spl55_150
  <=> sK28(cons(sK44,sK39)) = app(sK28(cons(sK44,sK39)),nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl55_150])]) ).

fof(f1947,plain,
    ( nil = cons(sK44,sK39)
    | sK28(cons(sK44,sK39)) = app(sK28(cons(sK44,sK39)),nil)
    | ~ spl55_144 ),
    inference(resolution,[],[f1923,f786]) ).

fof(f786,plain,
    ! [X1] :
      ( ~ ssList(X1)
      | nil = X1
      | app(sK28(X1),nil) = sK28(X1) ),
    inference(resolution,[],[f454,f447]) ).

fof(f447,plain,
    ! [X0] :
      ( ~ ssList(X0)
      | app(X0,nil) = X0 ),
    inference(cnf_transformation,[],[f146]) ).

fof(f146,plain,
    ! [X0] :
      ( ~ ssList(X0)
      | app(X0,nil) = X0 ),
    inference(ennf_transformation,[],[f84]) ).

fof(f84,axiom,
    ! [X0] :
      ( ssList(X0)
     => app(X0,nil) = X0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax84) ).

fof(f1968,plain,
    ( spl55_149
    | ~ spl55_6
    | ~ spl55_135
    | ~ spl55_144 ),
    inference(avatar_split_clause,[],[f1952,f1921,f1805,f614,f1965]) ).

fof(f1965,plain,
    ( spl55_149
  <=> cons(sK44,cons(sK44,sK39)) = app(sK39,cons(sK44,sK39)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl55_149])]) ).

fof(f1952,plain,
    ( cons(sK44,cons(sK44,sK39)) = app(sK39,cons(sK44,sK39))
    | ~ spl55_6
    | ~ spl55_135
    | ~ spl55_144 ),
    inference(resolution,[],[f1923,f1809]) ).

fof(f1963,plain,
    ( spl55_148
    | ~ spl55_144 ),
    inference(avatar_split_clause,[],[f1941,f1921,f1960]) ).

fof(f1960,plain,
    ( spl55_148
  <=> cons(sK44,sK39) = app(cons(sK44,sK39),nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl55_148])]) ).

fof(f1941,plain,
    ( cons(sK44,sK39) = app(cons(sK44,sK39),nil)
    | ~ spl55_144 ),
    inference(resolution,[],[f1923,f447]) ).

fof(f1958,plain,
    ( spl55_145
    | spl55_147
    | ~ spl55_144 ),
    inference(avatar_split_clause,[],[f1940,f1921,f1956,f1927]) ).

fof(f1956,plain,
    ( spl55_147
  <=> ! [X2] :
        ( nil != app(cons(sK44,sK39),X2)
        | ~ ssList(X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl55_147])]) ).

fof(f1940,plain,
    ( ! [X2] :
        ( nil != app(cons(sK44,sK39),X2)
        | ~ ssList(X2)
        | nil = cons(sK44,sK39) )
    | ~ spl55_144 ),
    inference(resolution,[],[f1923,f362]) ).

fof(f362,plain,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | ~ ssList(X1)
      | nil = X0
      | nil != app(X0,X1) ),
    inference(cnf_transformation,[],[f236]) ).

fof(f236,plain,
    ! [X0] :
      ( ! [X1] :
          ( ~ ssList(X1)
          | ( ( nil = app(X0,X1)
              | nil != X1
              | nil != X0 )
            & ( ( nil = X1
                & nil = X0 )
              | nil != app(X0,X1) ) ) )
      | ~ ssList(X0) ),
    inference(flattening,[],[f235]) ).

fof(f235,plain,
    ! [X0] :
      ( ! [X1] :
          ( ~ ssList(X1)
          | ( ( nil = app(X0,X1)
              | nil != X1
              | nil != X0 )
            & ( ( nil = X1
                & nil = X0 )
              | nil != app(X0,X1) ) ) )
      | ~ ssList(X0) ),
    inference(nnf_transformation,[],[f181]) ).

fof(f181,plain,
    ! [X0] :
      ( ! [X1] :
          ( ~ ssList(X1)
          | ( nil = app(X0,X1)
          <=> ( nil = X1
              & nil = X0 ) ) )
      | ~ ssList(X0) ),
    inference(ennf_transformation,[],[f83]) ).

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

fof(f1936,plain,
    ( ~ spl55_145
    | ~ spl55_8
    | spl55_5
    | ~ spl55_137 ),
    inference(avatar_split_clause,[],[f1913,f1840,f610,f624,f1927]) ).

fof(f610,plain,
    ( spl55_5
  <=> nil = sK39 ),
    introduced(avatar_definition,[new_symbols(naming,[spl55_5])]) ).

fof(f1913,plain,
    ( nil = sK39
    | ~ ssList(sK39)
    | nil != cons(sK44,sK39)
    | ~ spl55_137 ),
    inference(duplicate_literal_removal,[],[f1911]) ).

fof(f1911,plain,
    ( ~ ssList(sK39)
    | nil != cons(sK44,sK39)
    | nil = sK39
    | ~ ssList(sK39)
    | ~ spl55_137 ),
    inference(superposition,[],[f363,f1842]) ).

fof(f363,plain,
    ! [X0,X1] :
      ( nil != app(X0,X1)
      | ~ ssList(X0)
      | ~ ssList(X1)
      | nil = X1 ),
    inference(cnf_transformation,[],[f236]) ).

fof(f1935,plain,
    ( ~ spl55_8
    | spl55_146
    | ~ spl55_6
    | ~ spl55_8
    | ~ spl55_135
    | ~ spl55_137 ),
    inference(avatar_split_clause,[],[f1931,f1840,f1805,f624,f614,f1933,f624]) ).

fof(f1933,plain,
    ( spl55_146
  <=> ! [X0] :
        ( sK39 = X0
        | ~ ssList(X0)
        | cons(sK44,sK39) != cons(sK44,X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl55_146])]) ).

fof(f1931,plain,
    ( ! [X0] :
        ( sK39 = X0
        | cons(sK44,sK39) != cons(sK44,X0)
        | ~ ssList(X0)
        | ~ ssList(sK39) )
    | ~ spl55_6
    | ~ spl55_8
    | ~ spl55_135
    | ~ spl55_137 ),
    inference(forward_subsumption_demodulation,[],[f1906,f1809]) ).

fof(f1906,plain,
    ( ! [X0] :
        ( cons(sK44,sK39) != app(sK39,X0)
        | ~ ssList(X0)
        | sK39 = X0
        | ~ ssList(sK39) )
    | ~ spl55_8
    | ~ spl55_137 ),
    inference(superposition,[],[f973,f1842]) ).

fof(f973,plain,
    ( ! [X21,X22] :
        ( app(X22,X21) != app(X22,sK39)
        | ~ ssList(X22)
        | ~ ssList(X21)
        | sK39 = X21 )
    | ~ spl55_8 ),
    inference(resolution,[],[f463,f626]) ).

fof(f463,plain,
    ! [X2,X0,X1] :
      ( ~ ssList(X2)
      | X0 = X2
      | ~ ssList(X0)
      | app(X1,X2) != app(X1,X0)
      | ~ ssList(X1) ),
    inference(cnf_transformation,[],[f180]) ).

fof(f180,plain,
    ! [X0] :
      ( ! [X1] :
          ( ~ ssList(X1)
          | ! [X2] :
              ( app(X1,X2) != app(X1,X0)
              | ~ ssList(X2)
              | X0 = X2 ) )
      | ~ ssList(X0) ),
    inference(flattening,[],[f179]) ).

fof(f179,plain,
    ! [X0] :
      ( ! [X1] :
          ( ! [X2] :
              ( X0 = X2
              | app(X1,X2) != app(X1,X0)
              | ~ ssList(X2) )
          | ~ ssList(X1) )
      | ~ ssList(X0) ),
    inference(ennf_transformation,[],[f80]) ).

fof(f80,axiom,
    ! [X0] :
      ( ssList(X0)
     => ! [X1] :
          ( ssList(X1)
         => ! [X2] :
              ( ssList(X2)
             => ( app(X1,X2) = app(X1,X0)
               => X0 = X2 ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax80) ).

fof(f1930,plain,
    ( ~ spl55_8
    | ~ spl55_145
    | ~ spl55_41
    | ~ spl55_137 ),
    inference(avatar_split_clause,[],[f1905,f1840,f833,f1927,f624]) ).

fof(f833,plain,
    ( spl55_41
  <=> ! [X15] :
        ( nil != app(sK39,X15)
        | ~ ssList(X15) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl55_41])]) ).

fof(f1905,plain,
    ( nil != cons(sK44,sK39)
    | ~ ssList(sK39)
    | ~ spl55_41
    | ~ spl55_137 ),
    inference(superposition,[],[f834,f1842]) ).

fof(f834,plain,
    ( ! [X15] :
        ( nil != app(sK39,X15)
        | ~ ssList(X15) )
    | ~ spl55_41 ),
    inference(avatar_component_clause,[],[f833]) ).

fof(f1925,plain,
    ( ~ spl55_8
    | spl55_143
    | ~ spl55_8
    | ~ spl55_137 ),
    inference(avatar_split_clause,[],[f1907,f1840,f624,f1917,f624]) ).

fof(f1917,plain,
    ( spl55_143
  <=> ! [X2] :
        ( sK39 = X2
        | app(X2,sK39) != cons(sK44,sK39)
        | ~ ssList(X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl55_143])]) ).

fof(f1907,plain,
    ( ! [X1] :
        ( ~ ssList(X1)
        | cons(sK44,sK39) != app(X1,sK39)
        | ~ ssList(sK39)
        | sK39 = X1 )
    | ~ spl55_8
    | ~ spl55_137 ),
    inference(superposition,[],[f961,f1842]) ).

fof(f961,plain,
    ( ! [X21,X22] :
        ( app(X22,sK39) != app(X21,sK39)
        | ~ ssList(X22)
        | X21 = X22
        | ~ ssList(X21) )
    | ~ spl55_8 ),
    inference(resolution,[],[f450,f626]) ).

fof(f450,plain,
    ! [X2,X0,X1] :
      ( ~ ssList(X1)
      | ~ ssList(X2)
      | ~ ssList(X0)
      | X0 = X2
      | app(X2,X1) != app(X0,X1) ),
    inference(cnf_transformation,[],[f200]) ).

fof(f200,plain,
    ! [X0] :
      ( ~ ssList(X0)
      | ! [X1] :
          ( ~ ssList(X1)
          | ! [X2] :
              ( X0 = X2
              | ~ ssList(X2)
              | app(X2,X1) != app(X0,X1) ) ) ),
    inference(flattening,[],[f199]) ).

fof(f199,plain,
    ! [X0] :
      ( ! [X1] :
          ( ! [X2] :
              ( X0 = X2
              | app(X2,X1) != app(X0,X1)
              | ~ ssList(X2) )
          | ~ ssList(X1) )
      | ~ ssList(X0) ),
    inference(ennf_transformation,[],[f79]) ).

fof(f79,axiom,
    ! [X0] :
      ( ssList(X0)
     => ! [X1] :
          ( ssList(X1)
         => ! [X2] :
              ( ssList(X2)
             => ( app(X2,X1) = app(X0,X1)
               => X0 = X2 ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax79) ).

fof(f1924,plain,
    ( spl55_144
    | ~ spl55_8
    | ~ spl55_137 ),
    inference(avatar_split_clause,[],[f1915,f1840,f624,f1921]) ).

fof(f1915,plain,
    ( ~ ssList(sK39)
    | ssList(cons(sK44,sK39))
    | ~ spl55_137 ),
    inference(duplicate_literal_removal,[],[f1912]) ).

fof(f1912,plain,
    ( ~ ssList(sK39)
    | ssList(cons(sK44,sK39))
    | ~ ssList(sK39)
    | ~ spl55_137 ),
    inference(superposition,[],[f368,f1842]) ).

fof(f368,plain,
    ! [X0,X1] :
      ( ssList(app(X0,X1))
      | ~ ssList(X0)
      | ~ ssList(X1) ),
    inference(cnf_transformation,[],[f188]) ).

fof(f188,plain,
    ! [X0] :
      ( ~ ssList(X0)
      | ! [X1] :
          ( ssList(app(X0,X1))
          | ~ ssList(X1) ) ),
    inference(ennf_transformation,[],[f26]) ).

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

fof(f1919,plain,
    ( spl55_143
    | ~ spl55_8
    | ~ spl55_8
    | ~ spl55_137 ),
    inference(avatar_split_clause,[],[f1908,f1840,f624,f624,f1917]) ).

fof(f1908,plain,
    ( ! [X2] :
        ( ~ ssList(sK39)
        | sK39 = X2
        | ~ ssList(X2)
        | app(X2,sK39) != cons(sK44,sK39) )
    | ~ spl55_8
    | ~ spl55_137 ),
    inference(superposition,[],[f961,f1842]) ).

fof(f1902,plain,
    ( ~ spl55_8
    | spl55_142
    | ~ spl55_6
    | ~ spl55_109 ),
    inference(avatar_split_clause,[],[f1892,f1606,f614,f1900,f624]) ).

fof(f1606,plain,
    ( spl55_109
  <=> memberP(sK39,sK44) ),
    introduced(avatar_definition,[new_symbols(naming,[spl55_109])]) ).

fof(f1892,plain,
    ( ! [X1] :
        ( ~ ssItem(sK44)
        | memberP(app(X1,sK39),sK44)
        | ~ ssList(sK39)
        | ~ ssList(X1) )
    | ~ spl55_109 ),
    inference(resolution,[],[f1607,f536]) ).

fof(f1607,plain,
    ( memberP(sK39,sK44)
    | ~ spl55_109 ),
    inference(avatar_component_clause,[],[f1606]) ).

fof(f1897,plain,
    ( ~ spl55_6
    | ~ spl55_8
    | spl55_141
    | ~ spl55_109 ),
    inference(avatar_split_clause,[],[f1890,f1606,f1894,f624,f614]) ).

fof(f1894,plain,
    ( spl55_141
  <=> app(sK36(sK39,sK44),cons(sK44,sK37(sK39,sK44))) = sK39 ),
    introduced(avatar_definition,[new_symbols(naming,[spl55_141])]) ).

fof(f1890,plain,
    ( app(sK36(sK39,sK44),cons(sK44,sK37(sK39,sK44))) = sK39
    | ~ ssList(sK39)
    | ~ ssItem(sK44)
    | ~ spl55_109 ),
    inference(resolution,[],[f1607,f477]) ).

fof(f1886,plain,
    ( spl55_109
    | ~ spl55_32
    | ~ spl55_107
    | ~ spl55_135 ),
    inference(avatar_split_clause,[],[f1885,f1805,f1598,f763,f1606]) ).

fof(f763,plain,
    ( spl55_32
  <=> app(nil,sK39) = sK39 ),
    introduced(avatar_definition,[new_symbols(naming,[spl55_32])]) ).

fof(f1598,plain,
    ( spl55_107
  <=> memberP(app(nil,cons(sK44,nil)),sK44) ),
    introduced(avatar_definition,[new_symbols(naming,[spl55_107])]) ).

fof(f1885,plain,
    ( memberP(sK39,sK44)
    | ~ spl55_32
    | ~ spl55_107
    | ~ spl55_135 ),
    inference(forward_demodulation,[],[f1884,f765]) ).

fof(f765,plain,
    ( app(nil,sK39) = sK39
    | ~ spl55_32 ),
    inference(avatar_component_clause,[],[f763]) ).

fof(f1884,plain,
    ( memberP(app(nil,sK39),sK44)
    | ~ spl55_107
    | ~ spl55_135 ),
    inference(forward_demodulation,[],[f1600,f1807]) ).

fof(f1600,plain,
    ( memberP(app(nil,cons(sK44,nil)),sK44)
    | ~ spl55_107 ),
    inference(avatar_component_clause,[],[f1598]) ).

fof(f1883,plain,
    ( ~ spl55_1
    | ~ spl55_6
    | spl55_140
    | ~ spl55_135 ),
    inference(avatar_split_clause,[],[f1865,f1805,f1881,f614,f591]) ).

fof(f1881,plain,
    ( spl55_140
  <=> ! [X1] :
        ( ~ ssItem(X1)
        | memberP(nil,X1)
        | sK44 = X1
        | ~ memberP(sK39,X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl55_140])]) ).

fof(f1865,plain,
    ( ! [X1] :
        ( ~ ssItem(X1)
        | ~ memberP(sK39,X1)
        | ~ ssItem(sK44)
        | ~ ssList(nil)
        | sK44 = X1
        | memberP(nil,X1) )
    | ~ spl55_135 ),
    inference(superposition,[],[f359,f1807]) ).

fof(f359,plain,
    ! [X2,X0,X1] :
      ( ~ memberP(cons(X1,X2),X0)
      | X0 = X1
      | ~ ssItem(X1)
      | ~ ssList(X2)
      | ~ ssItem(X0)
      | memberP(X2,X0) ),
    inference(cnf_transformation,[],[f234]) ).

fof(f234,plain,
    ! [X0] :
      ( ~ ssItem(X0)
      | ! [X1] :
          ( ~ ssItem(X1)
          | ! [X2] :
              ( ~ ssList(X2)
              | ( ( X0 = X1
                  | memberP(X2,X0)
                  | ~ memberP(cons(X1,X2),X0) )
                & ( memberP(cons(X1,X2),X0)
                  | ( X0 != X1
                    & ~ memberP(X2,X0) ) ) ) ) ) ),
    inference(flattening,[],[f233]) ).

fof(f233,plain,
    ! [X0] :
      ( ~ ssItem(X0)
      | ! [X1] :
          ( ~ ssItem(X1)
          | ! [X2] :
              ( ~ ssList(X2)
              | ( ( X0 = X1
                  | memberP(X2,X0)
                  | ~ memberP(cons(X1,X2),X0) )
                & ( memberP(cons(X1,X2),X0)
                  | ( X0 != X1
                    & ~ memberP(X2,X0) ) ) ) ) ) ),
    inference(nnf_transformation,[],[f185]) ).

fof(f185,plain,
    ! [X0] :
      ( ~ ssItem(X0)
      | ! [X1] :
          ( ~ ssItem(X1)
          | ! [X2] :
              ( ~ ssList(X2)
              | ( ( X0 = X1
                  | memberP(X2,X0) )
              <=> memberP(cons(X1,X2),X0) ) ) ) ),
    inference(ennf_transformation,[],[f37]) ).

fof(f37,axiom,
    ! [X0] :
      ( ssItem(X0)
     => ! [X1] :
          ( ssItem(X1)
         => ! [X2] :
              ( ssList(X2)
             => ( ( X0 = X1
                  | memberP(X2,X0) )
              <=> memberP(cons(X1,X2),X0) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax37) ).

fof(f1879,plain,
    ( ~ spl55_1
    | ~ spl55_6
    | spl55_139
    | ~ spl55_135 ),
    inference(avatar_split_clause,[],[f1873,f1805,f1877,f614,f591]) ).

fof(f1877,plain,
    ( spl55_139
  <=> ! [X10] :
        ( memberP(app(X10,sK39),sK44)
        | ~ ssList(X10)
        | ~ ssList(app(X10,sK39)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl55_139])]) ).

fof(f1873,plain,
    ( ! [X10] :
        ( memberP(app(X10,sK39),sK44)
        | ~ ssItem(sK44)
        | ~ ssList(nil)
        | ~ ssList(app(X10,sK39))
        | ~ ssList(X10) )
    | ~ spl55_135 ),
    inference(superposition,[],[f579,f1807]) ).

fof(f579,plain,
    ! [X2,X3,X1] :
      ( ~ ssList(app(X2,cons(X1,X3)))
      | ~ ssItem(X1)
      | ~ ssList(X2)
      | memberP(app(X2,cons(X1,X3)),X1)
      | ~ ssList(X3) ),
    inference(equality_resolution,[],[f479]) ).

fof(f479,plain,
    ! [X2,X3,X0,X1] :
      ( memberP(X0,X1)
      | ~ ssList(X3)
      | app(X2,cons(X1,X3)) != X0
      | ~ ssList(X2)
      | ~ ssItem(X1)
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f309]) ).

fof(f1875,plain,
    ( ~ spl55_1
    | ~ spl55_6
    | spl55_109
    | ~ spl55_135 ),
    inference(avatar_split_clause,[],[f1874,f1805,f1606,f614,f591]) ).

fof(f1874,plain,
    ( memberP(sK39,sK44)
    | ~ ssItem(sK44)
    | ~ ssList(nil)
    | ~ spl55_135 ),
    inference(superposition,[],[f587,f1807]) ).

fof(f587,plain,
    ! [X2,X1] :
      ( memberP(cons(X1,X2),X1)
      | ~ ssList(X2)
      | ~ ssItem(X1) ),
    inference(duplicate_literal_removal,[],[f558]) ).

fof(f558,plain,
    ! [X2,X1] :
      ( ~ ssItem(X1)
      | memberP(cons(X1,X2),X1)
      | ~ ssItem(X1)
      | ~ ssList(X2) ),
    inference(equality_resolution,[],[f358]) ).

fof(f358,plain,
    ! [X2,X0,X1] :
      ( ~ ssItem(X0)
      | ~ ssItem(X1)
      | ~ ssList(X2)
      | memberP(cons(X1,X2),X0)
      | X0 != X1 ),
    inference(cnf_transformation,[],[f234]) ).

fof(f1850,plain,
    ( spl55_137
    | ~ spl55_130
    | ~ spl55_135 ),
    inference(avatar_split_clause,[],[f1829,f1805,f1776,f1840]) ).

fof(f1776,plain,
    ( spl55_130
  <=> cons(sK44,cons(sK44,nil)) = app(cons(sK44,nil),cons(sK44,nil)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl55_130])]) ).

fof(f1829,plain,
    ( cons(sK44,sK39) = app(sK39,sK39)
    | ~ spl55_130
    | ~ spl55_135 ),
    inference(backward_demodulation,[],[f1778,f1807]) ).

fof(f1778,plain,
    ( cons(sK44,cons(sK44,nil)) = app(cons(sK44,nil),cons(sK44,nil))
    | ~ spl55_130 ),
    inference(avatar_component_clause,[],[f1776]) ).

fof(f1848,plain,
    ( spl55_138
    | ~ spl55_93
    | ~ spl55_135 ),
    inference(avatar_split_clause,[],[f1816,f1805,f1384,f1845]) ).

fof(f1845,plain,
    ( spl55_138
  <=> cons(sK44,sK28(sK39)) = app(sK39,sK28(sK39)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl55_138])]) ).

fof(f1384,plain,
    ( spl55_93
  <=> cons(sK44,sK28(sK39)) = app(cons(sK44,nil),sK28(sK39)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl55_93])]) ).

fof(f1816,plain,
    ( cons(sK44,sK28(sK39)) = app(sK39,sK28(sK39))
    | ~ spl55_93
    | ~ spl55_135 ),
    inference(backward_demodulation,[],[f1386,f1807]) ).

fof(f1386,plain,
    ( cons(sK44,sK28(sK39)) = app(cons(sK44,nil),sK28(sK39))
    | ~ spl55_93 ),
    inference(avatar_component_clause,[],[f1384]) ).

fof(f1843,plain,
    ( spl55_137
    | ~ spl55_87
    | ~ spl55_135 ),
    inference(avatar_split_clause,[],[f1815,f1805,f1342,f1840]) ).

fof(f1342,plain,
    ( spl55_87
  <=> cons(sK44,sK39) = app(cons(sK44,nil),sK39) ),
    introduced(avatar_definition,[new_symbols(naming,[spl55_87])]) ).

fof(f1815,plain,
    ( cons(sK44,sK39) = app(sK39,sK39)
    | ~ spl55_87
    | ~ spl55_135 ),
    inference(backward_demodulation,[],[f1344,f1807]) ).

fof(f1344,plain,
    ( cons(sK44,sK39) = app(cons(sK44,nil),sK39)
    | ~ spl55_87 ),
    inference(avatar_component_clause,[],[f1342]) ).

fof(f1838,plain,
    ( spl55_136
    | ~ spl55_105
    | ~ spl55_135 ),
    inference(avatar_split_clause,[],[f1817,f1805,f1554,f1835]) ).

fof(f1835,plain,
    ( spl55_136
  <=> cons(sK44,sK28(nil)) = app(sK39,sK28(nil)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl55_136])]) ).

fof(f1554,plain,
    ( spl55_105
  <=> cons(sK44,sK28(nil)) = app(cons(sK44,nil),sK28(nil)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl55_105])]) ).

fof(f1817,plain,
    ( cons(sK44,sK28(nil)) = app(sK39,sK28(nil))
    | ~ spl55_105
    | ~ spl55_135 ),
    inference(backward_demodulation,[],[f1556,f1807]) ).

fof(f1556,plain,
    ( cons(sK44,sK28(nil)) = app(cons(sK44,nil),sK28(nil))
    | ~ spl55_105 ),
    inference(avatar_component_clause,[],[f1554]) ).

fof(f1808,plain,
    ( spl55_135
    | ~ spl55_86
    | ~ spl55_134 ),
    inference(avatar_split_clause,[],[f1803,f1799,f1337,f1805]) ).

fof(f1337,plain,
    ( spl55_86
  <=> app(cons(sK44,nil),nil) = cons(sK44,nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl55_86])]) ).

fof(f1799,plain,
    ( spl55_134
  <=> app(cons(sK44,nil),nil) = sK39 ),
    introduced(avatar_definition,[new_symbols(naming,[spl55_134])]) ).

fof(f1803,plain,
    ( cons(sK44,nil) = sK39
    | ~ spl55_86
    | ~ spl55_134 ),
    inference(backward_demodulation,[],[f1339,f1801]) ).

fof(f1801,plain,
    ( app(cons(sK44,nil),nil) = sK39
    | ~ spl55_134 ),
    inference(avatar_component_clause,[],[f1799]) ).

fof(f1339,plain,
    ( app(cons(sK44,nil),nil) = cons(sK44,nil)
    | ~ spl55_86 ),
    inference(avatar_component_clause,[],[f1337]) ).

fof(f1802,plain,
    ( spl55_134
    | ~ spl55_45
    | ~ spl55_132 ),
    inference(avatar_split_clause,[],[f1792,f1786,f879,f1799]) ).

fof(f879,plain,
    ( spl55_45
  <=> sK39 = app(app(nil,cons(sK44,nil)),nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl55_45])]) ).

fof(f1786,plain,
    ( spl55_132
  <=> cons(sK44,nil) = app(nil,cons(sK44,nil)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl55_132])]) ).

fof(f1792,plain,
    ( app(cons(sK44,nil),nil) = sK39
    | ~ spl55_45
    | ~ spl55_132 ),
    inference(backward_demodulation,[],[f881,f1788]) ).

fof(f1788,plain,
    ( cons(sK44,nil) = app(nil,cons(sK44,nil))
    | ~ spl55_132 ),
    inference(avatar_component_clause,[],[f1786]) ).

fof(f881,plain,
    ( sK39 = app(app(nil,cons(sK44,nil)),nil)
    | ~ spl55_45 ),
    inference(avatar_component_clause,[],[f879]) ).

fof(f1797,plain,
    ( ~ spl55_133
    | spl55_107
    | ~ spl55_132 ),
    inference(avatar_split_clause,[],[f1791,f1786,f1598,f1794]) ).

fof(f1794,plain,
    ( spl55_133
  <=> memberP(cons(sK44,nil),sK44) ),
    introduced(avatar_definition,[new_symbols(naming,[spl55_133])]) ).

fof(f1791,plain,
    ( ~ memberP(cons(sK44,nil),sK44)
    | spl55_107
    | ~ spl55_132 ),
    inference(backward_demodulation,[],[f1599,f1788]) ).

fof(f1599,plain,
    ( ~ memberP(app(nil,cons(sK44,nil)),sK44)
    | spl55_107 ),
    inference(avatar_component_clause,[],[f1598]) ).

fof(f1789,plain,
    ( spl55_132
    | ~ spl55_123 ),
    inference(avatar_split_clause,[],[f1737,f1725,f1786]) ).

fof(f1725,plain,
    ( spl55_123
  <=> ssList(cons(sK44,nil)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl55_123])]) ).

fof(f1737,plain,
    ( cons(sK44,nil) = app(nil,cons(sK44,nil))
    | ~ spl55_123 ),
    inference(resolution,[],[f1726,f546]) ).

fof(f1726,plain,
    ( ssList(cons(sK44,nil))
    | ~ spl55_123 ),
    inference(avatar_component_clause,[],[f1725]) ).

fof(f1784,plain,
    ( spl55_124
    | spl55_131
    | ~ spl55_123 ),
    inference(avatar_split_clause,[],[f1735,f1725,f1781,f1747]) ).

fof(f1747,plain,
    ( spl55_124
  <=> nil = cons(sK44,nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl55_124])]) ).

fof(f1781,plain,
    ( spl55_131
  <=> cons(sK44,nil) = cons(sK29(cons(sK44,nil)),sK28(cons(sK44,nil))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl55_131])]) ).

fof(f1735,plain,
    ( cons(sK44,nil) = cons(sK29(cons(sK44,nil)),sK28(cons(sK44,nil)))
    | nil = cons(sK44,nil)
    | ~ spl55_123 ),
    inference(resolution,[],[f1726,f452]) ).

fof(f1779,plain,
    ( spl55_130
    | ~ spl55_6
    | ~ spl55_123 ),
    inference(avatar_split_clause,[],[f1740,f1725,f614,f1776]) ).

fof(f1740,plain,
    ( cons(sK44,cons(sK44,nil)) = app(cons(sK44,nil),cons(sK44,nil))
    | ~ spl55_6
    | ~ spl55_123 ),
    inference(resolution,[],[f1726,f922]) ).

fof(f1774,plain,
    ( spl55_129
    | spl55_124
    | ~ spl55_123 ),
    inference(avatar_split_clause,[],[f1739,f1725,f1747,f1771]) ).

fof(f1771,plain,
    ( spl55_129
  <=> sK28(cons(sK44,nil)) = app(sK28(cons(sK44,nil)),nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl55_129])]) ).

fof(f1739,plain,
    ( nil = cons(sK44,nil)
    | sK28(cons(sK44,nil)) = app(sK28(cons(sK44,nil)),nil)
    | ~ spl55_123 ),
    inference(resolution,[],[f1726,f786]) ).

fof(f1769,plain,
    ( spl55_128
    | ~ spl55_18
    | ~ spl55_123 ),
    inference(avatar_split_clause,[],[f1742,f1725,f676,f1766]) ).

fof(f1766,plain,
    ( spl55_128
  <=> app(cons(sK48,nil),cons(sK44,nil)) = cons(sK48,cons(sK44,nil)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl55_128])]) ).

fof(f1742,plain,
    ( app(cons(sK48,nil),cons(sK44,nil)) = cons(sK48,cons(sK44,nil))
    | ~ spl55_18
    | ~ spl55_123 ),
    inference(resolution,[],[f1726,f924]) ).

fof(f1764,plain,
    ( spl55_124
    | spl55_127
    | ~ spl55_123 ),
    inference(avatar_split_clause,[],[f1738,f1725,f1761,f1747]) ).

fof(f1761,plain,
    ( spl55_127
  <=> app(nil,sK28(cons(sK44,nil))) = sK28(cons(sK44,nil)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl55_127])]) ).

fof(f1738,plain,
    ( app(nil,sK28(cons(sK44,nil))) = sK28(cons(sK44,nil))
    | nil = cons(sK44,nil)
    | ~ spl55_123 ),
    inference(resolution,[],[f1726,f785]) ).

fof(f1759,plain,
    ( spl55_126
    | ~ spl55_3
    | ~ spl55_123 ),
    inference(avatar_split_clause,[],[f1741,f1725,f600,f1756]) ).

fof(f1756,plain,
    ( spl55_126
  <=> cons(sK47,cons(sK44,nil)) = app(cons(sK47,nil),cons(sK44,nil)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl55_126])]) ).

fof(f1741,plain,
    ( cons(sK47,cons(sK44,nil)) = app(cons(sK47,nil),cons(sK44,nil))
    | ~ spl55_3
    | ~ spl55_123 ),
    inference(resolution,[],[f1726,f923]) ).

fof(f1753,plain,
    ( spl55_124
    | spl55_125
    | ~ spl55_123 ),
    inference(avatar_split_clause,[],[f1732,f1725,f1751,f1747]) ).

fof(f1751,plain,
    ( spl55_125
  <=> ! [X2] :
        ( ~ ssList(X2)
        | nil != app(cons(sK44,nil),X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl55_125])]) ).

fof(f1732,plain,
    ( ! [X2] :
        ( ~ ssList(X2)
        | nil != app(cons(sK44,nil),X2)
        | nil = cons(sK44,nil) )
    | ~ spl55_123 ),
    inference(resolution,[],[f1726,f362]) ).

fof(f1730,plain,
    ( ~ spl55_6
    | ~ spl55_1
    | spl55_123 ),
    inference(avatar_split_clause,[],[f1729,f1725,f591,f614]) ).

fof(f1729,plain,
    ( ~ ssList(nil)
    | ~ ssItem(sK44)
    | spl55_123 ),
    inference(resolution,[],[f1727,f538]) ).

fof(f538,plain,
    ! [X0,X1] :
      ( ssList(cons(X1,X0))
      | ~ ssItem(X1)
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f100]) ).

fof(f100,plain,
    ! [X0] :
      ( ~ ssList(X0)
      | ! [X1] :
          ( ssList(cons(X1,X0))
          | ~ ssItem(X1) ) ),
    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(f1727,plain,
    ( ~ ssList(cons(sK44,nil))
    | spl55_123 ),
    inference(avatar_component_clause,[],[f1725]) ).

fof(f1728,plain,
    ( ~ spl55_123
    | ~ spl55_1
    | spl55_108 ),
    inference(avatar_split_clause,[],[f1723,f1602,f591,f1725]) ).

fof(f1602,plain,
    ( spl55_108
  <=> ssList(app(nil,cons(sK44,nil))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl55_108])]) ).

fof(f1723,plain,
    ( ~ ssList(nil)
    | ~ ssList(cons(sK44,nil))
    | spl55_108 ),
    inference(resolution,[],[f1604,f368]) ).

fof(f1604,plain,
    ( ~ ssList(app(nil,cons(sK44,nil)))
    | spl55_108 ),
    inference(avatar_component_clause,[],[f1602]) ).

fof(f1722,plain,
    ( spl55_122
    | spl55_90
    | ~ spl55_69 ),
    inference(avatar_split_clause,[],[f1714,f1215,f1371,f1719]) ).

fof(f1719,plain,
    ( spl55_122
  <=> sK28(sK28(sK39)) = app(sK28(sK28(sK39)),nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl55_122])]) ).

fof(f1371,plain,
    ( spl55_90
  <=> nil = sK28(sK39) ),
    introduced(avatar_definition,[new_symbols(naming,[spl55_90])]) ).

fof(f1714,plain,
    ( nil = sK28(sK39)
    | sK28(sK28(sK39)) = app(sK28(sK28(sK39)),nil)
    | ~ spl55_69 ),
    inference(resolution,[],[f786,f1216]) ).

fof(f1216,plain,
    ( ssList(sK28(sK39))
    | ~ spl55_69 ),
    inference(avatar_component_clause,[],[f1215]) ).

fof(f1709,plain,
    ( spl55_90
    | spl55_121
    | ~ spl55_69 ),
    inference(avatar_split_clause,[],[f1701,f1215,f1706,f1371]) ).

fof(f1706,plain,
    ( spl55_121
  <=> sK28(sK28(sK39)) = app(nil,sK28(sK28(sK39))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl55_121])]) ).

fof(f1701,plain,
    ( sK28(sK28(sK39)) = app(nil,sK28(sK28(sK39)))
    | nil = sK28(sK39)
    | ~ spl55_69 ),
    inference(resolution,[],[f785,f1216]) ).

fof(f1696,plain,
    ( spl55_120
    | ~ spl55_8
    | ~ spl55_18 ),
    inference(avatar_split_clause,[],[f1681,f676,f624,f1693]) ).

fof(f1693,plain,
    ( spl55_120
  <=> app(cons(sK48,nil),sK39) = cons(sK48,sK39) ),
    introduced(avatar_definition,[new_symbols(naming,[spl55_120])]) ).

fof(f1681,plain,
    ( app(cons(sK48,nil),sK39) = cons(sK48,sK39)
    | ~ spl55_8
    | ~ spl55_18 ),
    inference(resolution,[],[f924,f626]) ).

fof(f1691,plain,
    ( spl55_119
    | ~ spl55_18
    | ~ spl55_69 ),
    inference(avatar_split_clause,[],[f1678,f1215,f676,f1688]) ).

fof(f1688,plain,
    ( spl55_119
  <=> cons(sK48,sK28(sK39)) = app(cons(sK48,nil),sK28(sK39)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl55_119])]) ).

fof(f1678,plain,
    ( cons(sK48,sK28(sK39)) = app(cons(sK48,nil),sK28(sK39))
    | ~ spl55_18
    | ~ spl55_69 ),
    inference(resolution,[],[f924,f1216]) ).

fof(f1686,plain,
    ( spl55_118
    | ~ spl55_1
    | ~ spl55_18 ),
    inference(avatar_split_clause,[],[f1676,f676,f591,f1683]) ).

fof(f1683,plain,
    ( spl55_118
  <=> app(cons(sK48,nil),nil) = cons(sK48,nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl55_118])]) ).

fof(f1676,plain,
    ( app(cons(sK48,nil),nil) = cons(sK48,nil)
    | ~ spl55_1
    | ~ spl55_18 ),
    inference(resolution,[],[f924,f592]) ).

fof(f592,plain,
    ( ssList(nil)
    | ~ spl55_1 ),
    inference(avatar_component_clause,[],[f591]) ).

fof(f1673,plain,
    ( ~ spl55_68
    | ~ spl55_8
    | spl55_117
    | ~ spl55_74 ),
    inference(avatar_split_clause,[],[f1658,f1235,f1670,f624,f1211]) ).

fof(f1670,plain,
    ( spl55_117
  <=> app(sK36(sK39,sK29(sK39)),cons(sK29(sK39),sK37(sK39,sK29(sK39)))) = sK39 ),
    introduced(avatar_definition,[new_symbols(naming,[spl55_117])]) ).

fof(f1235,plain,
    ( spl55_74
  <=> memberP(sK39,sK29(sK39)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl55_74])]) ).

fof(f1658,plain,
    ( app(sK36(sK39,sK29(sK39)),cons(sK29(sK39),sK37(sK39,sK29(sK39)))) = sK39
    | ~ ssList(sK39)
    | ~ ssItem(sK29(sK39))
    | ~ spl55_74 ),
    inference(resolution,[],[f1237,f477]) ).

fof(f1237,plain,
    ( memberP(sK39,sK29(sK39))
    | ~ spl55_74 ),
    inference(avatar_component_clause,[],[f1235]) ).

fof(f1668,plain,
    ( ~ spl55_68
    | ~ spl55_8
    | spl55_116
    | ~ spl55_74 ),
    inference(avatar_split_clause,[],[f1659,f1235,f1666,f624,f1211]) ).

fof(f1659,plain,
    ( ! [X0] :
        ( memberP(app(sK39,X0),sK29(sK39))
        | ~ ssList(sK39)
        | ~ ssItem(sK29(sK39))
        | ~ ssList(X0) )
    | ~ spl55_74 ),
    inference(resolution,[],[f1237,f537]) ).

fof(f1664,plain,
    ( ~ spl55_68
    | spl55_115
    | ~ spl55_8
    | ~ spl55_74 ),
    inference(avatar_split_clause,[],[f1660,f1235,f624,f1662,f1211]) ).

fof(f1660,plain,
    ( ! [X1] :
        ( ~ ssList(sK39)
        | memberP(app(X1,sK39),sK29(sK39))
        | ~ ssList(X1)
        | ~ ssItem(sK29(sK39)) )
    | ~ spl55_74 ),
    inference(resolution,[],[f1237,f536]) ).

fof(f1657,plain,
    ( spl55_114
    | ~ spl55_3
    | ~ spl55_8 ),
    inference(avatar_split_clause,[],[f1642,f624,f600,f1654]) ).

fof(f1654,plain,
    ( spl55_114
  <=> cons(sK47,sK39) = app(cons(sK47,nil),sK39) ),
    introduced(avatar_definition,[new_symbols(naming,[spl55_114])]) ).

fof(f1642,plain,
    ( cons(sK47,sK39) = app(cons(sK47,nil),sK39)
    | ~ spl55_3
    | ~ spl55_8 ),
    inference(resolution,[],[f923,f626]) ).

fof(f1652,plain,
    ( spl55_113
    | ~ spl55_1
    | ~ spl55_3 ),
    inference(avatar_split_clause,[],[f1637,f600,f591,f1649]) ).

fof(f1649,plain,
    ( spl55_113
  <=> cons(sK47,nil) = app(cons(sK47,nil),nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl55_113])]) ).

fof(f1637,plain,
    ( cons(sK47,nil) = app(cons(sK47,nil),nil)
    | ~ spl55_1
    | ~ spl55_3 ),
    inference(resolution,[],[f923,f592]) ).

fof(f1647,plain,
    ( spl55_112
    | ~ spl55_3
    | ~ spl55_69 ),
    inference(avatar_split_clause,[],[f1639,f1215,f600,f1644]) ).

fof(f1644,plain,
    ( spl55_112
  <=> app(cons(sK47,nil),sK28(sK39)) = cons(sK47,sK28(sK39)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl55_112])]) ).

fof(f1639,plain,
    ( app(cons(sK47,nil),sK28(sK39)) = cons(sK47,sK28(sK39))
    | ~ spl55_3
    | ~ spl55_69 ),
    inference(resolution,[],[f923,f1216]) ).

fof(f1634,plain,
    ( ~ spl55_1
    | spl55_111
    | ~ spl55_26 ),
    inference(avatar_split_clause,[],[f1630,f724,f1632,f591]) ).

fof(f724,plain,
    ( spl55_26
  <=> ! [X0,X1] :
        ( app(app(nil,cons(X0,nil)),X1) != sK39
        | ~ ssItem(X0)
        | ~ ssItem(sK43(X0,nil,X1))
        | ~ ssList(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl55_26])]) ).

fof(f1630,plain,
    ( ! [X0,X1] :
        ( cons(X1,X0) != sK39
        | ~ ssItem(X1)
        | ~ ssList(X0)
        | ~ ssList(nil) )
    | ~ spl55_26 ),
    inference(forward_subsumption_demodulation,[],[f1629,f487]) ).

fof(f1629,plain,
    ( ! [X0,X1] :
        ( app(cons(X1,nil),X0) != sK39
        | ~ ssItem(X1)
        | ~ ssList(X0)
        | ~ ssList(nil) )
    | ~ spl55_26 ),
    inference(forward_subsumption_demodulation,[],[f1628,f787]) ).

fof(f787,plain,
    ! [X0,X1] :
      ( ~ ssItem(X0)
      | cons(X0,X1) = app(nil,cons(X0,X1))
      | ~ ssList(X1) ),
    inference(resolution,[],[f538,f546]) ).

fof(f1628,plain,
    ( ! [X0,X1] :
        ( ~ ssList(nil)
        | ~ ssItem(X1)
        | ~ ssList(X0)
        | app(app(nil,cons(X1,nil)),X0) != sK39 )
    | ~ spl55_26 ),
    inference(duplicate_literal_removal,[],[f1627]) ).

fof(f1627,plain,
    ( ! [X0,X1] :
        ( ~ ssList(X0)
        | ~ ssList(X0)
        | ~ ssItem(X1)
        | ~ ssList(nil)
        | app(app(nil,cons(X1,nil)),X0) != sK39
        | ~ ssItem(X1)
        | app(app(nil,cons(X1,nil)),X0) != sK39 )
    | ~ spl55_26 ),
    inference(resolution,[],[f725,f505]) ).

fof(f725,plain,
    ( ! [X0,X1] :
        ( ~ ssItem(sK43(X0,nil,X1))
        | ~ ssList(X1)
        | ~ ssItem(X0)
        | app(app(nil,cons(X0,nil)),X1) != sK39 )
    | ~ spl55_26 ),
    inference(avatar_component_clause,[],[f724]) ).

fof(f1626,plain,
    ( ~ spl55_1
    | spl55_110
    | ~ spl55_25 ),
    inference(avatar_split_clause,[],[f1622,f720,f1624,f591]) ).

fof(f1624,plain,
    ( spl55_110
  <=> ! [X0,X1] :
        ( ~ ssItem(X1)
        | ~ ssList(X0)
        | app(app(X0,cons(X1,nil)),nil) != sK39 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl55_110])]) ).

fof(f720,plain,
    ( spl55_25
  <=> ! [X2,X3] :
        ( app(app(X3,cons(X2,nil)),nil) != sK39
        | ~ ssList(X3)
        | ~ ssItem(sK43(X2,X3,nil))
        | ~ ssItem(X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl55_25])]) ).

fof(f1622,plain,
    ( ! [X0,X1] :
        ( ~ ssItem(X1)
        | app(app(X0,cons(X1,nil)),nil) != sK39
        | ~ ssList(X0)
        | ~ ssList(nil) )
    | ~ spl55_25 ),
    inference(duplicate_literal_removal,[],[f1621]) ).

fof(f1621,plain,
    ( ! [X0,X1] :
        ( ~ ssList(X0)
        | app(app(X0,cons(X1,nil)),nil) != sK39
        | ~ ssItem(X1)
        | ~ ssItem(X1)
        | ~ ssList(nil)
        | app(app(X0,cons(X1,nil)),nil) != sK39
        | ~ ssList(X0) )
    | ~ spl55_25 ),
    inference(resolution,[],[f721,f505]) ).

fof(f721,plain,
    ( ! [X2,X3] :
        ( ~ ssItem(sK43(X2,X3,nil))
        | ~ ssList(X3)
        | app(app(X3,cons(X2,nil)),nil) != sK39
        | ~ ssItem(X2) )
    | ~ spl55_25 ),
    inference(avatar_component_clause,[],[f720]) ).

fof(f1609,plain,
    ( spl55_106
    | ~ spl55_1
    | spl55_107
    | ~ spl55_108
    | ~ spl55_109
    | ~ spl55_6
    | ~ spl55_45 ),
    inference(avatar_split_clause,[],[f1588,f879,f614,f1606,f1602,f1598,f591,f1594]) ).

fof(f1594,plain,
    ( spl55_106
  <=> memberP(nil,sK44) ),
    introduced(avatar_definition,[new_symbols(naming,[spl55_106])]) ).

fof(f1588,plain,
    ( ~ memberP(sK39,sK44)
    | ~ ssList(app(nil,cons(sK44,nil)))
    | memberP(app(nil,cons(sK44,nil)),sK44)
    | ~ ssList(nil)
    | memberP(nil,sK44)
    | ~ spl55_6
    | ~ spl55_45 ),
    inference(superposition,[],[f996,f881]) ).

fof(f996,plain,
    ( ! [X8,X9] :
        ( ~ memberP(app(X9,X8),sK44)
        | ~ ssList(X9)
        | memberP(X8,sK44)
        | ~ ssList(X8)
        | memberP(X9,sK44) )
    | ~ spl55_6 ),
    inference(resolution,[],[f535,f616]) ).

fof(f535,plain,
    ! [X2,X0,X1] :
      ( ~ ssItem(X0)
      | memberP(X2,X0)
      | ~ memberP(app(X1,X2),X0)
      | ~ ssList(X2)
      | memberP(X1,X0)
      | ~ ssList(X1) ),
    inference(cnf_transformation,[],[f340]) ).

fof(f1557,plain,
    ( spl55_105
    | ~ spl55_37
    | ~ spl55_97 ),
    inference(avatar_split_clause,[],[f1552,f1452,f817,f1554]) ).

fof(f817,plain,
    ( spl55_37
  <=> nil = sK46 ),
    introduced(avatar_definition,[new_symbols(naming,[spl55_37])]) ).

fof(f1452,plain,
    ( spl55_97
  <=> app(cons(sK44,nil),sK28(sK46)) = cons(sK44,sK28(sK46)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl55_97])]) ).

fof(f1552,plain,
    ( cons(sK44,sK28(nil)) = app(cons(sK44,nil),sK28(nil))
    | ~ spl55_37
    | ~ spl55_97 ),
    inference(forward_demodulation,[],[f1454,f819]) ).

fof(f819,plain,
    ( nil = sK46
    | ~ spl55_37 ),
    inference(avatar_component_clause,[],[f817]) ).

fof(f1454,plain,
    ( app(cons(sK44,nil),sK28(sK46)) = cons(sK44,sK28(sK46))
    | ~ spl55_97 ),
    inference(avatar_component_clause,[],[f1452]) ).

fof(f1543,plain,
    ( ~ spl55_59
    | ~ spl55_37
    | spl55_85 ),
    inference(avatar_split_clause,[],[f1529,f1312,f817,f1078]) ).

fof(f1078,plain,
    ( spl55_59
  <=> memberP(nil,sK29(nil)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl55_59])]) ).

fof(f1312,plain,
    ( spl55_85
  <=> memberP(sK46,sK29(sK46)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl55_85])]) ).

fof(f1529,plain,
    ( ~ memberP(nil,sK29(nil))
    | ~ spl55_37
    | spl55_85 ),
    inference(backward_demodulation,[],[f1313,f819]) ).

fof(f1313,plain,
    ( ~ memberP(sK46,sK29(sK46))
    | spl55_85 ),
    inference(avatar_component_clause,[],[f1312]) ).

fof(f1542,plain,
    ( ~ spl55_56
    | ~ spl55_37
    | spl55_79 ),
    inference(avatar_split_clause,[],[f1528,f1285,f817,f1063]) ).

fof(f1063,plain,
    ( spl55_56
  <=> ssItem(sK29(nil)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl55_56])]) ).

fof(f1285,plain,
    ( spl55_79
  <=> ssItem(sK29(sK46)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl55_79])]) ).

fof(f1528,plain,
    ( ~ ssItem(sK29(nil))
    | ~ spl55_37
    | spl55_79 ),
    inference(backward_demodulation,[],[f1287,f819]) ).

fof(f1287,plain,
    ( ~ ssItem(sK29(sK46))
    | spl55_79 ),
    inference(avatar_component_clause,[],[f1285]) ).

fof(f1539,plain,
    ( spl55_104
    | ~ spl55_37
    | ~ spl55_103 ),
    inference(avatar_split_clause,[],[f1532,f1490,f817,f1536]) ).

fof(f1536,plain,
    ( spl55_104
  <=> nil = cons(sK29(nil),nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl55_104])]) ).

fof(f1490,plain,
    ( spl55_103
  <=> sK46 = cons(sK29(sK46),nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl55_103])]) ).

fof(f1532,plain,
    ( nil = cons(sK29(nil),nil)
    | ~ spl55_37
    | ~ spl55_103 ),
    inference(backward_demodulation,[],[f1492,f819]) ).

fof(f1492,plain,
    ( sK46 = cons(sK29(sK46),nil)
    | ~ spl55_103 ),
    inference(avatar_component_clause,[],[f1490]) ).

fof(f1518,plain,
    ( ~ spl55_56
    | ~ spl55_35
    | spl55_50 ),
    inference(avatar_split_clause,[],[f1517,f1020,f809,f1063]) ).

fof(f809,plain,
    ( spl55_35
  <=> nil = sK45 ),
    introduced(avatar_definition,[new_symbols(naming,[spl55_35])]) ).

fof(f1020,plain,
    ( spl55_50
  <=> ssItem(sK29(sK45)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl55_50])]) ).

fof(f1517,plain,
    ( ~ ssItem(sK29(nil))
    | ~ spl55_35
    | spl55_50 ),
    inference(forward_demodulation,[],[f1022,f811]) ).

fof(f811,plain,
    ( nil = sK45
    | ~ spl55_35 ),
    inference(avatar_component_clause,[],[f809]) ).

fof(f1022,plain,
    ( ~ ssItem(sK29(sK45))
    | spl55_50 ),
    inference(avatar_component_clause,[],[f1020]) ).

fof(f1516,plain,
    ( ~ spl55_59
    | ~ spl55_35
    | spl55_49 ),
    inference(avatar_split_clause,[],[f1058,f1016,f809,f1078]) ).

fof(f1016,plain,
    ( spl55_49
  <=> memberP(sK45,sK29(sK45)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl55_49])]) ).

fof(f1058,plain,
    ( ~ memberP(nil,sK29(nil))
    | ~ spl55_35
    | spl55_49 ),
    inference(backward_demodulation,[],[f1017,f811]) ).

fof(f1017,plain,
    ( ~ memberP(sK45,sK29(sK45))
    | spl55_49 ),
    inference(avatar_component_clause,[],[f1016]) ).

fof(f1515,plain,
    ( ~ spl55_56
    | ~ spl55_35
    | spl55_50 ),
    inference(avatar_split_clause,[],[f1059,f1020,f809,f1063]) ).

fof(f1059,plain,
    ( ~ ssItem(sK29(nil))
    | ~ spl55_35
    | spl55_50 ),
    inference(backward_demodulation,[],[f1022,f811]) ).

fof(f1513,plain,
    ( ~ spl55_59
    | ~ spl55_35
    | spl55_49 ),
    inference(avatar_split_clause,[],[f1512,f1016,f809,f1078]) ).

fof(f1512,plain,
    ( ~ memberP(nil,sK29(nil))
    | ~ spl55_35
    | spl55_49 ),
    inference(forward_demodulation,[],[f1017,f811]) ).

fof(f1511,plain,
    ( ~ spl55_22
    | spl55_37
    | spl55_79 ),
    inference(avatar_split_clause,[],[f1510,f1285,f817,f696]) ).

fof(f696,plain,
    ( spl55_22
  <=> ssList(sK46) ),
    introduced(avatar_definition,[new_symbols(naming,[spl55_22])]) ).

fof(f1510,plain,
    ( nil = sK46
    | ~ ssList(sK46)
    | spl55_79 ),
    inference(resolution,[],[f1287,f453]) ).

fof(f453,plain,
    ! [X0] :
      ( ssItem(sK29(X0))
      | ~ ssList(X0)
      | nil = X0 ),
    inference(cnf_transformation,[],[f290]) ).

fof(f1493,plain,
    ( spl55_103
    | ~ spl55_48
    | ~ spl55_98 ),
    inference(avatar_split_clause,[],[f1479,f1457,f906,f1490]) ).

fof(f906,plain,
    ( spl55_48
  <=> sK46 = cons(sK29(sK46),sK28(sK46)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl55_48])]) ).

fof(f1457,plain,
    ( spl55_98
  <=> nil = sK28(sK46) ),
    introduced(avatar_definition,[new_symbols(naming,[spl55_98])]) ).

fof(f1479,plain,
    ( sK46 = cons(sK29(sK46),nil)
    | ~ spl55_48
    | ~ spl55_98 ),
    inference(backward_demodulation,[],[f908,f1459]) ).

fof(f1459,plain,
    ( nil = sK28(sK46)
    | ~ spl55_98 ),
    inference(avatar_component_clause,[],[f1457]) ).

fof(f908,plain,
    ( sK46 = cons(sK29(sK46),sK28(sK46))
    | ~ spl55_48 ),
    inference(avatar_component_clause,[],[f906]) ).

fof(f1478,plain,
    ( spl55_102
    | ~ spl55_78 ),
    inference(avatar_split_clause,[],[f1445,f1281,f1475]) ).

fof(f1475,plain,
    ( spl55_102
  <=> sK28(sK46) = app(sK28(sK46),nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl55_102])]) ).

fof(f1281,plain,
    ( spl55_78
  <=> ssList(sK28(sK46)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl55_78])]) ).

fof(f1445,plain,
    ( sK28(sK46) = app(sK28(sK46),nil)
    | ~ spl55_78 ),
    inference(resolution,[],[f1282,f447]) ).

fof(f1282,plain,
    ( ssList(sK28(sK46))
    | ~ spl55_78 ),
    inference(avatar_component_clause,[],[f1281]) ).

fof(f1473,plain,
    ( spl55_101
    | ~ spl55_78 ),
    inference(avatar_split_clause,[],[f1449,f1281,f1470]) ).

fof(f1470,plain,
    ( spl55_101
  <=> sK28(sK46) = app(nil,sK28(sK46)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl55_101])]) ).

fof(f1449,plain,
    ( sK28(sK46) = app(nil,sK28(sK46))
    | ~ spl55_78 ),
    inference(resolution,[],[f1282,f546]) ).

fof(f1468,plain,
    ( spl55_98
    | spl55_100
    | ~ spl55_78 ),
    inference(avatar_split_clause,[],[f1447,f1281,f1465,f1457]) ).

fof(f1465,plain,
    ( spl55_100
  <=> sK28(sK46) = cons(sK29(sK28(sK46)),sK28(sK28(sK46))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl55_100])]) ).

fof(f1447,plain,
    ( sK28(sK46) = cons(sK29(sK28(sK46)),sK28(sK28(sK46)))
    | nil = sK28(sK46)
    | ~ spl55_78 ),
    inference(resolution,[],[f1282,f452]) ).

fof(f1463,plain,
    ( spl55_98
    | spl55_99
    | ~ spl55_78 ),
    inference(avatar_split_clause,[],[f1444,f1281,f1461,f1457]) ).

fof(f1461,plain,
    ( spl55_99
  <=> ! [X2] :
        ( ~ ssList(X2)
        | nil != app(sK28(sK46),X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl55_99])]) ).

fof(f1444,plain,
    ( ! [X2] :
        ( ~ ssList(X2)
        | nil = sK28(sK46)
        | nil != app(sK28(sK46),X2) )
    | ~ spl55_78 ),
    inference(resolution,[],[f1282,f362]) ).

fof(f1455,plain,
    ( spl55_97
    | ~ spl55_6
    | ~ spl55_78 ),
    inference(avatar_split_clause,[],[f1450,f1281,f614,f1452]) ).

fof(f1450,plain,
    ( app(cons(sK44,nil),sK28(sK46)) = cons(sK44,sK28(sK46))
    | ~ spl55_6
    | ~ spl55_78 ),
    inference(resolution,[],[f1282,f922]) ).

fof(f1431,plain,
    ( spl55_37
    | ~ spl55_22
    | spl55_78 ),
    inference(avatar_split_clause,[],[f1430,f1281,f696,f817]) ).

fof(f1430,plain,
    ( ~ ssList(sK46)
    | nil = sK46
    | spl55_78 ),
    inference(resolution,[],[f1283,f454]) ).

fof(f1283,plain,
    ( ~ ssList(sK28(sK46))
    | spl55_78 ),
    inference(avatar_component_clause,[],[f1281]) ).

fof(f1417,plain,
    ( spl55_96
    | ~ spl55_44
    | ~ spl55_90 ),
    inference(avatar_split_clause,[],[f1398,f1371,f870,f1414]) ).

fof(f1414,plain,
    ( spl55_96
  <=> cons(sK29(sK39),nil) = sK39 ),
    introduced(avatar_definition,[new_symbols(naming,[spl55_96])]) ).

fof(f1398,plain,
    ( cons(sK29(sK39),nil) = sK39
    | ~ spl55_44
    | ~ spl55_90 ),
    inference(backward_demodulation,[],[f872,f1373]) ).

fof(f1373,plain,
    ( nil = sK28(sK39)
    | ~ spl55_90 ),
    inference(avatar_component_clause,[],[f1371]) ).

fof(f1397,plain,
    ( spl55_95
    | ~ spl55_69 ),
    inference(avatar_split_clause,[],[f1368,f1215,f1394]) ).

fof(f1394,plain,
    ( spl55_95
  <=> app(nil,sK28(sK39)) = sK28(sK39) ),
    introduced(avatar_definition,[new_symbols(naming,[spl55_95])]) ).

fof(f1368,plain,
    ( app(nil,sK28(sK39)) = sK28(sK39)
    | ~ spl55_69 ),
    inference(resolution,[],[f1216,f546]) ).

fof(f1392,plain,
    ( spl55_94
    | ~ spl55_69 ),
    inference(avatar_split_clause,[],[f1364,f1215,f1389]) ).

fof(f1389,plain,
    ( spl55_94
  <=> app(sK28(sK39),nil) = sK28(sK39) ),
    introduced(avatar_definition,[new_symbols(naming,[spl55_94])]) ).

fof(f1364,plain,
    ( app(sK28(sK39),nil) = sK28(sK39)
    | ~ spl55_69 ),
    inference(resolution,[],[f1216,f447]) ).

fof(f1387,plain,
    ( spl55_93
    | ~ spl55_6
    | ~ spl55_69 ),
    inference(avatar_split_clause,[],[f1369,f1215,f614,f1384]) ).

fof(f1369,plain,
    ( cons(sK44,sK28(sK39)) = app(cons(sK44,nil),sK28(sK39))
    | ~ spl55_6
    | ~ spl55_69 ),
    inference(resolution,[],[f1216,f922]) ).

fof(f1382,plain,
    ( spl55_92
    | spl55_90
    | ~ spl55_69 ),
    inference(avatar_split_clause,[],[f1363,f1215,f1371,f1380]) ).

fof(f1380,plain,
    ( spl55_92
  <=> ! [X2] :
        ( ~ ssList(X2)
        | nil != app(sK28(sK39),X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl55_92])]) ).

fof(f1363,plain,
    ( ! [X2] :
        ( nil = sK28(sK39)
        | ~ ssList(X2)
        | nil != app(sK28(sK39),X2) )
    | ~ spl55_69 ),
    inference(resolution,[],[f1216,f362]) ).

fof(f1378,plain,
    ( spl55_90
    | spl55_91
    | ~ spl55_69 ),
    inference(avatar_split_clause,[],[f1366,f1215,f1375,f1371]) ).

fof(f1375,plain,
    ( spl55_91
  <=> cons(sK29(sK28(sK39)),sK28(sK28(sK39))) = sK28(sK39) ),
    introduced(avatar_definition,[new_symbols(naming,[spl55_91])]) ).

fof(f1366,plain,
    ( cons(sK29(sK28(sK39)),sK28(sK28(sK39))) = sK28(sK39)
    | nil = sK28(sK39)
    | ~ spl55_69 ),
    inference(resolution,[],[f1216,f452]) ).

fof(f1361,plain,
    ( ~ spl55_1
    | spl55_89
    | ~ spl55_8
    | ~ spl55_32 ),
    inference(avatar_split_clause,[],[f1353,f763,f624,f1358,f591]) ).

fof(f1358,plain,
    ( spl55_89
  <=> ! [X0] :
        ( ~ ssList(X0)
        | sK39 != app(X0,sK39)
        | nil = X0 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl55_89])]) ).

fof(f1353,plain,
    ( ! [X0] :
        ( ~ ssList(X0)
        | nil = X0
        | ~ ssList(nil)
        | sK39 != app(X0,sK39) )
    | ~ spl55_8
    | ~ spl55_32 ),
    inference(superposition,[],[f961,f765]) ).

fof(f1360,plain,
    ( ~ spl55_1
    | spl55_89
    | ~ spl55_8
    | ~ spl55_32 ),
    inference(avatar_split_clause,[],[f1354,f763,f624,f1358,f591]) ).

fof(f1354,plain,
    ( ! [X0] :
        ( ~ ssList(X0)
        | nil = X0
        | sK39 != app(X0,sK39)
        | ~ ssList(nil) )
    | ~ spl55_8
    | ~ spl55_32 ),
    inference(superposition,[],[f961,f765]) ).

fof(f1352,plain,
    ( spl55_5
    | ~ spl55_8
    | spl55_69 ),
    inference(avatar_split_clause,[],[f1351,f1215,f624,f610]) ).

fof(f1351,plain,
    ( ~ ssList(sK39)
    | nil = sK39
    | spl55_69 ),
    inference(resolution,[],[f1217,f454]) ).

fof(f1217,plain,
    ( ~ ssList(sK28(sK39))
    | spl55_69 ),
    inference(avatar_component_clause,[],[f1215]) ).

fof(f1350,plain,
    ( spl55_88
    | ~ spl55_6
    | ~ spl55_22 ),
    inference(avatar_split_clause,[],[f1335,f696,f614,f1347]) ).

fof(f1347,plain,
    ( spl55_88
  <=> cons(sK44,sK46) = app(cons(sK44,nil),sK46) ),
    introduced(avatar_definition,[new_symbols(naming,[spl55_88])]) ).

fof(f1335,plain,
    ( cons(sK44,sK46) = app(cons(sK44,nil),sK46)
    | ~ spl55_6
    | ~ spl55_22 ),
    inference(resolution,[],[f922,f698]) ).

fof(f698,plain,
    ( ssList(sK46)
    | ~ spl55_22 ),
    inference(avatar_component_clause,[],[f696]) ).

fof(f1345,plain,
    ( spl55_87
    | ~ spl55_6
    | ~ spl55_8 ),
    inference(avatar_split_clause,[],[f1334,f624,f614,f1342]) ).

fof(f1334,plain,
    ( cons(sK44,sK39) = app(cons(sK44,nil),sK39)
    | ~ spl55_6
    | ~ spl55_8 ),
    inference(resolution,[],[f922,f626]) ).

fof(f1340,plain,
    ( spl55_86
    | ~ spl55_1
    | ~ spl55_6 ),
    inference(avatar_split_clause,[],[f1330,f614,f591,f1337]) ).

fof(f1330,plain,
    ( app(cons(sK44,nil),nil) = cons(sK44,nil)
    | ~ spl55_1
    | ~ spl55_6 ),
    inference(resolution,[],[f922,f592]) ).

fof(f1322,plain,
    ( ~ spl55_8
    | spl55_5
    | spl55_68 ),
    inference(avatar_split_clause,[],[f1321,f1211,f610,f624]) ).

fof(f1321,plain,
    ( nil = sK39
    | ~ ssList(sK39)
    | spl55_68 ),
    inference(resolution,[],[f1213,f453]) ).

fof(f1213,plain,
    ( ~ ssItem(sK29(sK39))
    | spl55_68 ),
    inference(avatar_component_clause,[],[f1211]) ).

fof(f1315,plain,
    ( ~ spl55_79
    | spl55_85
    | ~ spl55_78
    | ~ spl55_48 ),
    inference(avatar_split_clause,[],[f1275,f906,f1281,f1312,f1285]) ).

fof(f1275,plain,
    ( ~ ssList(sK28(sK46))
    | memberP(sK46,sK29(sK46))
    | ~ ssItem(sK29(sK46))
    | ~ spl55_48 ),
    inference(superposition,[],[f587,f908]) ).

fof(f1310,plain,
    ( ~ spl55_79
    | ~ spl55_78
    | spl55_84
    | ~ spl55_48 ),
    inference(avatar_split_clause,[],[f1274,f906,f1308,f1281,f1285]) ).

fof(f1308,plain,
    ( spl55_84
  <=> ! [X10] :
        ( ~ ssList(X10)
        | memberP(app(X10,sK46),sK29(sK46))
        | ~ ssList(app(X10,sK46)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl55_84])]) ).

fof(f1274,plain,
    ( ! [X10] :
        ( ~ ssList(X10)
        | ~ ssList(app(X10,sK46))
        | ~ ssList(sK28(sK46))
        | memberP(app(X10,sK46),sK29(sK46))
        | ~ ssItem(sK29(sK46)) )
    | ~ spl55_48 ),
    inference(superposition,[],[f579,f908]) ).

fof(f1306,plain,
    ( ~ spl55_79
    | ~ spl55_78
    | spl55_83
    | ~ spl55_48 ),
    inference(avatar_split_clause,[],[f1270,f906,f1302,f1281,f1285]) ).

fof(f1302,plain,
    ( spl55_83
  <=> ! [X9,X8] :
        ( ~ ssItem(X8)
        | ~ ssList(X9)
        | sK46 != cons(X8,X9)
        | sK28(sK46) = X9 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl55_83])]) ).

fof(f1270,plain,
    ( ! [X6,X7] :
        ( ~ ssItem(X6)
        | ~ ssList(sK28(sK46))
        | cons(X6,X7) != sK46
        | ~ ssList(X7)
        | sK28(sK46) = X7
        | ~ ssItem(sK29(sK46)) )
    | ~ spl55_48 ),
    inference(superposition,[],[f393,f908]) ).

fof(f393,plain,
    ! [X2,X3,X0,X1] :
      ( cons(X2,X0) != cons(X3,X1)
      | ~ ssList(X0)
      | ~ ssItem(X3)
      | ~ ssItem(X2)
      | X0 = X1
      | ~ ssList(X1) ),
    inference(cnf_transformation,[],[f212]) ).

fof(f212,plain,
    ! [X0] :
      ( ! [X1] :
          ( ! [X2] :
              ( ~ ssItem(X2)
              | ! [X3] :
                  ( ( X0 = X1
                    & X2 = X3 )
                  | ~ ssItem(X3)
                  | cons(X2,X0) != cons(X3,X1) ) )
          | ~ ssList(X1) )
      | ~ ssList(X0) ),
    inference(flattening,[],[f211]) ).

fof(f211,plain,
    ! [X0] :
      ( ! [X1] :
          ( ! [X2] :
              ( ! [X3] :
                  ( ( X0 = X1
                    & X2 = X3 )
                  | cons(X2,X0) != cons(X3,X1)
                  | ~ ssItem(X3) )
              | ~ ssItem(X2) )
          | ~ ssList(X1) )
      | ~ ssList(X0) ),
    inference(ennf_transformation,[],[f19]) ).

fof(f19,axiom,
    ! [X0] :
      ( ssList(X0)
     => ! [X1] :
          ( ssList(X1)
         => ! [X2] :
              ( ssItem(X2)
             => ! [X3] :
                  ( ssItem(X3)
                 => ( cons(X2,X0) = cons(X3,X1)
                   => ( X0 = X1
                      & X2 = X3 ) ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax19) ).

fof(f1305,plain,
    ( ~ spl55_79
    | ~ spl55_78
    | spl55_80
    | ~ spl55_48 ),
    inference(avatar_split_clause,[],[f1269,f906,f1290,f1281,f1285]) ).

fof(f1290,plain,
    ( spl55_80
  <=> ! [X2,X3] :
        ( ~ ssList(X3)
        | sK29(sK46) = X2
        | ~ ssItem(X2)
        | sK46 != cons(X2,X3) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl55_80])]) ).

fof(f1269,plain,
    ( ! [X4,X5] :
        ( sK46 != cons(X4,X5)
        | ~ ssList(sK28(sK46))
        | ~ ssItem(sK29(sK46))
        | sK29(sK46) = X4
        | ~ ssList(X5)
        | ~ ssItem(X4) )
    | ~ spl55_48 ),
    inference(superposition,[],[f392,f908]) ).

fof(f392,plain,
    ! [X2,X3,X0,X1] :
      ( cons(X2,X0) != cons(X3,X1)
      | ~ ssList(X1)
      | ~ ssItem(X3)
      | ~ ssItem(X2)
      | ~ ssList(X0)
      | X2 = X3 ),
    inference(cnf_transformation,[],[f212]) ).

fof(f1304,plain,
    ( ~ spl55_79
    | spl55_83
    | ~ spl55_78
    | ~ spl55_48 ),
    inference(avatar_split_clause,[],[f1271,f906,f1281,f1302,f1285]) ).

fof(f1271,plain,
    ( ! [X8,X9] :
        ( ~ ssList(sK28(sK46))
        | ~ ssItem(X8)
        | sK28(sK46) = X9
        | sK46 != cons(X8,X9)
        | ~ ssItem(sK29(sK46))
        | ~ ssList(X9) )
    | ~ spl55_48 ),
    inference(superposition,[],[f393,f908]) ).

fof(f1300,plain,
    ( ~ spl55_79
    | ~ spl55_78
    | spl55_82
    | ~ spl55_48 ),
    inference(avatar_split_clause,[],[f1265,f906,f1298,f1281,f1285]) ).

fof(f1298,plain,
    ( spl55_82
  <=> ! [X0] :
        ( memberP(sK46,X0)
        | ~ memberP(sK28(sK46),X0)
        | ~ ssItem(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl55_82])]) ).

fof(f1265,plain,
    ( ! [X0] :
        ( memberP(sK46,X0)
        | ~ ssItem(X0)
        | ~ ssList(sK28(sK46))
        | ~ ssItem(sK29(sK46))
        | ~ memberP(sK28(sK46),X0) )
    | ~ spl55_48 ),
    inference(superposition,[],[f357,f908]) ).

fof(f357,plain,
    ! [X2,X0,X1] :
      ( memberP(cons(X1,X2),X0)
      | ~ memberP(X2,X0)
      | ~ ssList(X2)
      | ~ ssItem(X0)
      | ~ ssItem(X1) ),
    inference(cnf_transformation,[],[f234]) ).

fof(f1296,plain,
    ( ~ spl55_79
    | ~ spl55_78
    | spl55_81
    | ~ spl55_48 ),
    inference(avatar_split_clause,[],[f1266,f906,f1294,f1281,f1285]) ).

fof(f1294,plain,
    ( spl55_81
  <=> ! [X1] :
        ( ~ memberP(sK46,X1)
        | memberP(sK28(sK46),X1)
        | ~ ssItem(X1)
        | sK29(sK46) = X1 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl55_81])]) ).

fof(f1266,plain,
    ( ! [X1] :
        ( ~ memberP(sK46,X1)
        | sK29(sK46) = X1
        | ~ ssList(sK28(sK46))
        | ~ ssItem(X1)
        | memberP(sK28(sK46),X1)
        | ~ ssItem(sK29(sK46)) )
    | ~ spl55_48 ),
    inference(superposition,[],[f359,f908]) ).

fof(f1292,plain,
    ( ~ spl55_78
    | ~ spl55_79
    | spl55_80
    | ~ spl55_48 ),
    inference(avatar_split_clause,[],[f1268,f906,f1290,f1285,f1281]) ).

fof(f1268,plain,
    ( ! [X2,X3] :
        ( ~ ssList(X3)
        | ~ ssItem(sK29(sK46))
        | sK46 != cons(X2,X3)
        | ~ ssItem(X2)
        | sK29(sK46) = X2
        | ~ ssList(sK28(sK46)) )
    | ~ spl55_48 ),
    inference(superposition,[],[f392,f908]) ).

fof(f1288,plain,
    ( ~ spl55_77
    | ~ spl55_78
    | ~ spl55_79
    | ~ spl55_48 ),
    inference(avatar_split_clause,[],[f1267,f906,f1285,f1281,f1277]) ).

fof(f1277,plain,
    ( spl55_77
  <=> sK28(sK46) = sK46 ),
    introduced(avatar_definition,[new_symbols(naming,[spl55_77])]) ).

fof(f1267,plain,
    ( ~ ssItem(sK29(sK46))
    | ~ ssList(sK28(sK46))
    | sK28(sK46) != sK46
    | ~ spl55_48 ),
    inference(superposition,[],[f361,f908]) ).

fof(f361,plain,
    ! [X0,X1] :
      ( cons(X1,X0) != X0
      | ~ ssList(X0)
      | ~ ssItem(X1) ),
    inference(cnf_transformation,[],[f210]) ).

fof(f210,plain,
    ! [X0] :
      ( ~ ssList(X0)
      | ! [X1] :
          ( ~ ssItem(X1)
          | cons(X1,X0) != 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(f1249,plain,
    ( ~ spl55_69
    | ~ spl55_68
    | spl55_76
    | ~ spl55_44 ),
    inference(avatar_split_clause,[],[f1200,f870,f1247,f1211,f1215]) ).

fof(f1247,plain,
    ( spl55_76
  <=> ! [X1] :
        ( ~ memberP(sK39,X1)
        | sK29(sK39) = X1
        | ~ ssItem(X1)
        | memberP(sK28(sK39),X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl55_76])]) ).

fof(f1200,plain,
    ( ! [X1] :
        ( ~ memberP(sK39,X1)
        | memberP(sK28(sK39),X1)
        | ~ ssItem(sK29(sK39))
        | ~ ssList(sK28(sK39))
        | ~ ssItem(X1)
        | sK29(sK39) = X1 )
    | ~ spl55_44 ),
    inference(superposition,[],[f359,f872]) ).

fof(f1245,plain,
    ( ~ spl55_68
    | ~ spl55_69
    | spl55_73
    | ~ spl55_44 ),
    inference(avatar_split_clause,[],[f1203,f870,f1231,f1215,f1211]) ).

fof(f1231,plain,
    ( spl55_73
  <=> ! [X2,X3] :
        ( ~ ssItem(X2)
        | ~ ssList(X3)
        | sK29(sK39) = X2
        | cons(X2,X3) != sK39 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl55_73])]) ).

fof(f1203,plain,
    ( ! [X4,X5] :
        ( ~ ssList(X5)
        | cons(X4,X5) != sK39
        | ~ ssItem(X4)
        | ~ ssList(sK28(sK39))
        | sK29(sK39) = X4
        | ~ ssItem(sK29(sK39)) )
    | ~ spl55_44 ),
    inference(superposition,[],[f392,f872]) ).

fof(f1244,plain,
    ( ~ spl55_75
    | ~ spl55_69
    | ~ spl55_68
    | ~ spl55_44 ),
    inference(avatar_split_clause,[],[f1201,f870,f1211,f1215,f1241]) ).

fof(f1241,plain,
    ( spl55_75
  <=> sK28(sK39) = sK39 ),
    introduced(avatar_definition,[new_symbols(naming,[spl55_75])]) ).

fof(f1201,plain,
    ( ~ ssItem(sK29(sK39))
    | ~ ssList(sK28(sK39))
    | sK28(sK39) != sK39
    | ~ spl55_44 ),
    inference(superposition,[],[f361,f872]) ).

fof(f1239,plain,
    ( ~ spl55_68
    | ~ spl55_69
    | spl55_70
    | ~ spl55_44 ),
    inference(avatar_split_clause,[],[f1205,f870,f1219,f1215,f1211]) ).

fof(f1219,plain,
    ( spl55_70
  <=> ! [X6,X7] :
        ( sK28(sK39) = X7
        | ~ ssItem(X6)
        | ~ ssList(X7)
        | cons(X6,X7) != sK39 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl55_70])]) ).

fof(f1205,plain,
    ( ! [X8,X9] :
        ( ~ ssList(X9)
        | ~ ssList(sK28(sK39))
        | ~ ssItem(sK29(sK39))
        | ~ ssItem(X8)
        | cons(X8,X9) != sK39
        | sK28(sK39) = X9 )
    | ~ spl55_44 ),
    inference(superposition,[],[f393,f872]) ).

fof(f1238,plain,
    ( spl55_74
    | ~ spl55_69
    | ~ spl55_68
    | ~ spl55_44 ),
    inference(avatar_split_clause,[],[f1209,f870,f1211,f1215,f1235]) ).

fof(f1209,plain,
    ( ~ ssItem(sK29(sK39))
    | ~ ssList(sK28(sK39))
    | memberP(sK39,sK29(sK39))
    | ~ spl55_44 ),
    inference(superposition,[],[f587,f872]) ).

fof(f1233,plain,
    ( ~ spl55_69
    | ~ spl55_68
    | spl55_73
    | ~ spl55_44 ),
    inference(avatar_split_clause,[],[f1202,f870,f1231,f1211,f1215]) ).

fof(f1202,plain,
    ( ! [X2,X3] :
        ( ~ ssItem(X2)
        | ~ ssItem(sK29(sK39))
        | cons(X2,X3) != sK39
        | sK29(sK39) = X2
        | ~ ssList(X3)
        | ~ ssList(sK28(sK39)) )
    | ~ spl55_44 ),
    inference(superposition,[],[f392,f872]) ).

fof(f1229,plain,
    ( ~ spl55_69
    | spl55_72
    | ~ spl55_68
    | ~ spl55_44 ),
    inference(avatar_split_clause,[],[f1208,f870,f1211,f1227,f1215]) ).

fof(f1227,plain,
    ( spl55_72
  <=> ! [X10] :
        ( memberP(app(X10,sK39),sK29(sK39))
        | ~ ssList(X10)
        | ~ ssList(app(X10,sK39)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl55_72])]) ).

fof(f1208,plain,
    ( ! [X10] :
        ( ~ ssItem(sK29(sK39))
        | memberP(app(X10,sK39),sK29(sK39))
        | ~ ssList(sK28(sK39))
        | ~ ssList(app(X10,sK39))
        | ~ ssList(X10) )
    | ~ spl55_44 ),
    inference(superposition,[],[f579,f872]) ).

fof(f1225,plain,
    ( ~ spl55_69
    | spl55_71
    | ~ spl55_68
    | ~ spl55_44 ),
    inference(avatar_split_clause,[],[f1199,f870,f1211,f1223,f1215]) ).

fof(f1199,plain,
    ( ! [X0] :
        ( ~ ssItem(sK29(sK39))
        | memberP(sK39,X0)
        | ~ ssList(sK28(sK39))
        | ~ memberP(sK28(sK39),X0)
        | ~ ssItem(X0) )
    | ~ spl55_44 ),
    inference(superposition,[],[f357,f872]) ).

fof(f1221,plain,
    ( ~ spl55_68
    | ~ spl55_69
    | spl55_70
    | ~ spl55_44 ),
    inference(avatar_split_clause,[],[f1204,f870,f1219,f1215,f1211]) ).

fof(f1204,plain,
    ( ! [X6,X7] :
        ( sK28(sK39) = X7
        | ~ ssList(sK28(sK39))
        | cons(X6,X7) != sK39
        | ~ ssList(X7)
        | ~ ssItem(sK29(sK39))
        | ~ ssItem(X6) )
    | ~ spl55_44 ),
    inference(superposition,[],[f393,f872]) ).

fof(f1198,plain,
    ( ~ spl55_67
    | ~ spl55_35
    | spl55_60 ),
    inference(avatar_split_clause,[],[f1193,f1130,f809,f1195]) ).

fof(f1195,plain,
    ( spl55_67
  <=> app(sK28(nil),nil) = sK28(nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl55_67])]) ).

fof(f1130,plain,
    ( spl55_60
  <=> app(sK28(sK45),nil) = sK28(sK45) ),
    introduced(avatar_definition,[new_symbols(naming,[spl55_60])]) ).

fof(f1193,plain,
    ( app(sK28(nil),nil) != sK28(nil)
    | ~ spl55_35
    | spl55_60 ),
    inference(forward_demodulation,[],[f1131,f811]) ).

fof(f1131,plain,
    ( app(sK28(sK45),nil) != sK28(sK45)
    | spl55_60 ),
    inference(avatar_component_clause,[],[f1130]) ).

fof(f1192,plain,
    ( spl55_46
    | ~ spl55_35
    | ~ spl55_43 ),
    inference(avatar_split_clause,[],[f1160,f865,f809,f885]) ).

fof(f885,plain,
    ( spl55_46
  <=> nil = cons(sK29(nil),sK28(nil)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl55_46])]) ).

fof(f865,plain,
    ( spl55_43
  <=> cons(sK29(sK45),sK28(sK45)) = sK45 ),
    introduced(avatar_definition,[new_symbols(naming,[spl55_43])]) ).

fof(f1160,plain,
    ( nil = cons(sK29(nil),sK28(nil))
    | ~ spl55_35
    | ~ spl55_43 ),
    inference(backward_demodulation,[],[f867,f811]) ).

fof(f867,plain,
    ( cons(sK29(sK45),sK28(sK45)) = sK45
    | ~ spl55_43 ),
    inference(avatar_component_clause,[],[f865]) ).

fof(f1191,plain,
    ( ~ spl55_66
    | ~ spl55_35
    | spl55_62 ),
    inference(avatar_split_clause,[],[f1172,f1139,f809,f1188]) ).

fof(f1188,plain,
    ( spl55_66
  <=> cons(sK29(sK28(nil)),sK28(sK28(nil))) = sK28(nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl55_66])]) ).

fof(f1139,plain,
    ( spl55_62
  <=> cons(sK29(sK28(sK45)),sK28(sK28(sK45))) = sK28(sK45) ),
    introduced(avatar_definition,[new_symbols(naming,[spl55_62])]) ).

fof(f1172,plain,
    ( cons(sK29(sK28(nil)),sK28(sK28(nil))) != sK28(nil)
    | ~ spl55_35
    | spl55_62 ),
    inference(backward_demodulation,[],[f1140,f811]) ).

fof(f1140,plain,
    ( cons(sK29(sK28(sK45)),sK28(sK28(sK45))) != sK28(sK45)
    | spl55_62 ),
    inference(avatar_component_clause,[],[f1139]) ).

fof(f1181,plain,
    ( ~ spl55_65
    | ~ spl55_35
    | spl55_63 ),
    inference(avatar_split_clause,[],[f1173,f1144,f809,f1178]) ).

fof(f1178,plain,
    ( spl55_65
  <=> app(nil,sK28(nil)) = sK28(nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl55_65])]) ).

fof(f1144,plain,
    ( spl55_63
  <=> app(nil,sK28(sK45)) = sK28(sK45) ),
    introduced(avatar_definition,[new_symbols(naming,[spl55_63])]) ).

fof(f1173,plain,
    ( app(nil,sK28(nil)) != sK28(nil)
    | ~ spl55_35
    | spl55_63 ),
    inference(backward_demodulation,[],[f1145,f811]) ).

fof(f1145,plain,
    ( app(nil,sK28(sK45)) != sK28(sK45)
    | spl55_63 ),
    inference(avatar_component_clause,[],[f1144]) ).

fof(f1176,plain,
    ( spl55_56
    | ~ spl55_35
    | ~ spl55_50 ),
    inference(avatar_split_clause,[],[f1165,f1020,f809,f1063]) ).

fof(f1165,plain,
    ( ssItem(sK29(nil))
    | ~ spl55_35
    | ~ spl55_50 ),
    inference(backward_demodulation,[],[f1021,f811]) ).

fof(f1021,plain,
    ( ssItem(sK29(sK45))
    | ~ spl55_50 ),
    inference(avatar_component_clause,[],[f1020]) ).

fof(f1153,plain,
    ( spl55_36
    | spl55_35
    | ~ spl55_16 ),
    inference(avatar_split_clause,[],[f898,f666,f809,f813]) ).

fof(f813,plain,
    ( spl55_36
  <=> ! [X17] :
        ( nil != app(sK45,X17)
        | ~ ssList(X17) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl55_36])]) ).

fof(f666,plain,
    ( spl55_16
  <=> ssList(sK45) ),
    introduced(avatar_definition,[new_symbols(naming,[spl55_16])]) ).

fof(f898,plain,
    ( ! [X0] :
        ( nil = sK45
        | ~ ssList(X0)
        | nil != app(sK45,X0) )
    | ~ spl55_16 ),
    inference(resolution,[],[f668,f362]) ).

fof(f668,plain,
    ( ssList(sK45)
    | ~ spl55_16 ),
    inference(avatar_component_clause,[],[f666]) ).

fof(f1152,plain,
    ( spl55_36
    | spl55_35
    | ~ spl55_16 ),
    inference(avatar_split_clause,[],[f1095,f666,f809,f813]) ).

fof(f1095,plain,
    ( ! [X2] :
        ( nil = sK45
        | nil != app(sK45,X2)
        | ~ ssList(X2) )
    | ~ spl55_16 ),
    inference(resolution,[],[f668,f362]) ).

fof(f1151,plain,
    ( spl55_61
    | spl55_64
    | ~ spl55_51 ),
    inference(avatar_split_clause,[],[f1123,f1024,f1149,f1135]) ).

fof(f1135,plain,
    ( spl55_61
  <=> nil = sK28(sK45) ),
    introduced(avatar_definition,[new_symbols(naming,[spl55_61])]) ).

fof(f1149,plain,
    ( spl55_64
  <=> ! [X2] :
        ( nil != app(sK28(sK45),X2)
        | ~ ssList(X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl55_64])]) ).

fof(f1024,plain,
    ( spl55_51
  <=> ssList(sK28(sK45)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl55_51])]) ).

fof(f1123,plain,
    ( ! [X2] :
        ( nil != app(sK28(sK45),X2)
        | nil = sK28(sK45)
        | ~ ssList(X2) )
    | ~ spl55_51 ),
    inference(resolution,[],[f1025,f362]) ).

fof(f1025,plain,
    ( ssList(sK28(sK45))
    | ~ spl55_51 ),
    inference(avatar_component_clause,[],[f1024]) ).

fof(f1147,plain,
    ( spl55_63
    | ~ spl55_51 ),
    inference(avatar_split_clause,[],[f1128,f1024,f1144]) ).

fof(f1128,plain,
    ( app(nil,sK28(sK45)) = sK28(sK45)
    | ~ spl55_51 ),
    inference(resolution,[],[f1025,f546]) ).

fof(f1142,plain,
    ( spl55_61
    | spl55_62
    | ~ spl55_51 ),
    inference(avatar_split_clause,[],[f1126,f1024,f1139,f1135]) ).

fof(f1126,plain,
    ( cons(sK29(sK28(sK45)),sK28(sK28(sK45))) = sK28(sK45)
    | nil = sK28(sK45)
    | ~ spl55_51 ),
    inference(resolution,[],[f1025,f452]) ).

fof(f1133,plain,
    ( spl55_60
    | ~ spl55_51 ),
    inference(avatar_split_clause,[],[f1124,f1024,f1130]) ).

fof(f1124,plain,
    ( app(sK28(sK45),nil) = sK28(sK45)
    | ~ spl55_51 ),
    inference(resolution,[],[f1025,f447]) ).

fof(f1107,plain,
    ( spl55_35
    | ~ spl55_16
    | spl55_51 ),
    inference(avatar_split_clause,[],[f1106,f1024,f666,f809]) ).

fof(f1106,plain,
    ( ~ ssList(sK45)
    | nil = sK45
    | spl55_51 ),
    inference(resolution,[],[f1026,f454]) ).

fof(f1026,plain,
    ( ~ ssList(sK28(sK45))
    | spl55_51 ),
    inference(avatar_component_clause,[],[f1024]) ).

fof(f1093,plain,
    ( spl55_35
    | spl55_43
    | ~ spl55_16 ),
    inference(avatar_split_clause,[],[f897,f666,f865,f809]) ).

fof(f897,plain,
    ( cons(sK29(sK45),sK28(sK45)) = sK45
    | nil = sK45
    | ~ spl55_16 ),
    inference(resolution,[],[f668,f452]) ).

fof(f1092,plain,
    ( ~ spl55_1
    | ~ spl55_28
    | ~ spl55_35
    | ~ spl55_36 ),
    inference(avatar_split_clause,[],[f1091,f813,f809,f738,f591]) ).

fof(f738,plain,
    ( spl55_28
  <=> app(sK45,nil) = sK45 ),
    introduced(avatar_definition,[new_symbols(naming,[spl55_28])]) ).

fof(f1091,plain,
    ( ~ ssList(nil)
    | ~ spl55_28
    | ~ spl55_35
    | ~ spl55_36 ),
    inference(trivial_inequality_removal,[],[f1090]) ).

fof(f1090,plain,
    ( ~ ssList(nil)
    | nil != nil
    | ~ spl55_28
    | ~ spl55_35
    | ~ spl55_36 ),
    inference(forward_demodulation,[],[f966,f811]) ).

fof(f966,plain,
    ( ~ ssList(nil)
    | nil != sK45
    | ~ spl55_28
    | ~ spl55_36 ),
    inference(superposition,[],[f814,f740]) ).

fof(f740,plain,
    ( app(sK45,nil) = sK45
    | ~ spl55_28 ),
    inference(avatar_component_clause,[],[f738]) ).

fof(f814,plain,
    ( ! [X17] :
        ( nil != app(sK45,X17)
        | ~ ssList(X17) )
    | ~ spl55_36 ),
    inference(avatar_component_clause,[],[f813]) ).

fof(f1082,plain,
    ( spl55_47
    | ~ spl55_20
    | ~ spl55_35 ),
    inference(avatar_split_clause,[],[f1051,f809,f687,f892]) ).

fof(f892,plain,
    ( spl55_47
  <=> sK39 = app(app(nil,cons(sK44,nil)),sK46) ),
    introduced(avatar_definition,[new_symbols(naming,[spl55_47])]) ).

fof(f687,plain,
    ( spl55_20
  <=> app(app(sK45,cons(sK44,nil)),sK46) = sK39 ),
    introduced(avatar_definition,[new_symbols(naming,[spl55_20])]) ).

fof(f1051,plain,
    ( sK39 = app(app(nil,cons(sK44,nil)),sK46)
    | ~ spl55_20
    | ~ spl55_35 ),
    inference(backward_demodulation,[],[f689,f811]) ).

fof(f689,plain,
    ( app(app(sK45,cons(sK44,nil)),sK46) = sK39
    | ~ spl55_20 ),
    inference(avatar_component_clause,[],[f687]) ).

fof(f1081,plain,
    ( ~ spl55_59
    | ~ spl55_35
    | spl55_49 ),
    inference(avatar_split_clause,[],[f1058,f1016,f809,f1078]) ).

fof(f1076,plain,
    ( ~ spl55_58
    | ~ spl55_35
    | spl55_53 ),
    inference(avatar_split_clause,[],[f1061,f1033,f809,f1073]) ).

fof(f1073,plain,
    ( spl55_58
  <=> nil = sK28(nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl55_58])]) ).

fof(f1033,plain,
    ( spl55_53
  <=> sK28(sK45) = sK45 ),
    introduced(avatar_definition,[new_symbols(naming,[spl55_53])]) ).

fof(f1061,plain,
    ( nil != sK28(nil)
    | ~ spl55_35
    | spl55_53 ),
    inference(backward_demodulation,[],[f1035,f811]) ).

fof(f1035,plain,
    ( sK28(sK45) != sK45
    | spl55_53 ),
    inference(avatar_component_clause,[],[f1033]) ).

fof(f1071,plain,
    ( ~ spl55_57
    | ~ spl55_35
    | spl55_51 ),
    inference(avatar_split_clause,[],[f1060,f1024,f809,f1068]) ).

fof(f1068,plain,
    ( spl55_57
  <=> ssList(sK28(nil)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl55_57])]) ).

fof(f1060,plain,
    ( ~ ssList(sK28(nil))
    | ~ spl55_35
    | spl55_51 ),
    inference(backward_demodulation,[],[f1026,f811]) ).

fof(f1066,plain,
    ( ~ spl55_56
    | ~ spl55_35
    | spl55_50 ),
    inference(avatar_split_clause,[],[f1059,f1020,f809,f1063]) ).

fof(f1048,plain,
    ( spl55_47
    | ~ spl55_20
    | ~ spl55_35 ),
    inference(avatar_split_clause,[],[f890,f809,f687,f892]) ).

fof(f890,plain,
    ( sK39 = app(app(nil,cons(sK44,nil)),sK46)
    | ~ spl55_20
    | ~ spl55_35 ),
    inference(forward_demodulation,[],[f689,f811]) ).

fof(f1047,plain,
    ( spl55_35
    | ~ spl55_16
    | spl55_50 ),
    inference(avatar_split_clause,[],[f1046,f1020,f666,f809]) ).

fof(f1046,plain,
    ( ~ ssList(sK45)
    | nil = sK45
    | spl55_50 ),
    inference(resolution,[],[f1022,f453]) ).

fof(f1045,plain,
    ( ~ spl55_50
    | ~ spl55_51
    | spl55_55
    | ~ spl55_43 ),
    inference(avatar_split_clause,[],[f1008,f865,f1043,f1024,f1020]) ).

fof(f1043,plain,
    ( spl55_55
  <=> ! [X1] :
        ( sK29(sK45) = X1
        | ~ memberP(sK45,X1)
        | ~ ssItem(X1)
        | memberP(sK28(sK45),X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl55_55])]) ).

fof(f1008,plain,
    ( ! [X1] :
        ( sK29(sK45) = X1
        | memberP(sK28(sK45),X1)
        | ~ ssList(sK28(sK45))
        | ~ ssItem(X1)
        | ~ memberP(sK45,X1)
        | ~ ssItem(sK29(sK45)) )
    | ~ spl55_43 ),
    inference(superposition,[],[f359,f867]) ).

fof(f1041,plain,
    ( ~ spl55_50
    | ~ spl55_51
    | spl55_54
    | ~ spl55_43 ),
    inference(avatar_split_clause,[],[f1011,f865,f1038,f1024,f1020]) ).

fof(f1038,plain,
    ( spl55_54
  <=> ! [X2,X3] :
        ( ~ ssList(X3)
        | sK29(sK45) = X2
        | ~ ssItem(X2)
        | cons(X2,X3) != sK45 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl55_54])]) ).

fof(f1011,plain,
    ( ! [X4,X5] :
        ( ~ ssItem(X4)
        | sK29(sK45) = X4
        | cons(X4,X5) != sK45
        | ~ ssList(sK28(sK45))
        | ~ ssItem(sK29(sK45))
        | ~ ssList(X5) )
    | ~ spl55_43 ),
    inference(superposition,[],[f392,f867]) ).

fof(f1040,plain,
    ( ~ spl55_50
    | ~ spl55_51
    | spl55_54
    | ~ spl55_43 ),
    inference(avatar_split_clause,[],[f1010,f865,f1038,f1024,f1020]) ).

fof(f1010,plain,
    ( ! [X2,X3] :
        ( ~ ssList(X3)
        | ~ ssList(sK28(sK45))
        | cons(X2,X3) != sK45
        | ~ ssItem(sK29(sK45))
        | ~ ssItem(X2)
        | sK29(sK45) = X2 )
    | ~ spl55_43 ),
    inference(superposition,[],[f392,f867]) ).

fof(f1036,plain,
    ( ~ spl55_51
    | ~ spl55_53
    | ~ spl55_50
    | ~ spl55_43 ),
    inference(avatar_split_clause,[],[f1009,f865,f1020,f1033,f1024]) ).

fof(f1009,plain,
    ( ~ ssItem(sK29(sK45))
    | sK28(sK45) != sK45
    | ~ ssList(sK28(sK45))
    | ~ spl55_43 ),
    inference(superposition,[],[f361,f867]) ).

fof(f1031,plain,
    ( ~ spl55_50
    | ~ spl55_51
    | spl55_52
    | ~ spl55_43 ),
    inference(avatar_split_clause,[],[f1007,f865,f1029,f1024,f1020]) ).

fof(f1029,plain,
    ( spl55_52
  <=> ! [X0] :
        ( memberP(sK45,X0)
        | ~ ssItem(X0)
        | ~ memberP(sK28(sK45),X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl55_52])]) ).

fof(f1007,plain,
    ( ! [X0] :
        ( memberP(sK45,X0)
        | ~ ssList(sK28(sK45))
        | ~ ssItem(sK29(sK45))
        | ~ memberP(sK28(sK45),X0)
        | ~ ssItem(X0) )
    | ~ spl55_43 ),
    inference(superposition,[],[f357,f867]) ).

fof(f1027,plain,
    ( spl55_49
    | ~ spl55_50
    | ~ spl55_51
    | ~ spl55_43 ),
    inference(avatar_split_clause,[],[f1014,f865,f1024,f1020,f1016]) ).

fof(f1014,plain,
    ( ~ ssList(sK28(sK45))
    | ~ ssItem(sK29(sK45))
    | memberP(sK45,sK29(sK45))
    | ~ spl55_43 ),
    inference(superposition,[],[f587,f867]) ).

fof(f909,plain,
    ( spl55_48
    | spl55_37
    | ~ spl55_22 ),
    inference(avatar_split_clause,[],[f901,f696,f817,f906]) ).

fof(f901,plain,
    ( nil = sK46
    | sK46 = cons(sK29(sK46),sK28(sK46))
    | ~ spl55_22 ),
    inference(resolution,[],[f698,f452]) ).

fof(f895,plain,
    ( spl55_47
    | ~ spl55_20
    | ~ spl55_35 ),
    inference(avatar_split_clause,[],[f890,f809,f687,f892]) ).

fof(f888,plain,
    ( ~ spl55_46
    | ~ spl55_35
    | spl55_43 ),
    inference(avatar_split_clause,[],[f883,f865,f809,f885]) ).

fof(f883,plain,
    ( nil != cons(sK29(nil),sK28(nil))
    | ~ spl55_35
    | spl55_43 ),
    inference(forward_demodulation,[],[f866,f811]) ).

fof(f866,plain,
    ( cons(sK29(sK45),sK28(sK45)) != sK45
    | spl55_43 ),
    inference(avatar_component_clause,[],[f865]) ).

fof(f882,plain,
    ( spl55_45
    | ~ spl55_35
    | ~ spl55_42 ),
    inference(avatar_split_clause,[],[f877,f845,f809,f879]) ).

fof(f845,plain,
    ( spl55_42
  <=> app(app(sK45,cons(sK44,nil)),nil) = sK39 ),
    introduced(avatar_definition,[new_symbols(naming,[spl55_42])]) ).

fof(f877,plain,
    ( sK39 = app(app(nil,cons(sK44,nil)),nil)
    | ~ spl55_35
    | ~ spl55_42 ),
    inference(backward_demodulation,[],[f847,f811]) ).

fof(f847,plain,
    ( app(app(sK45,cons(sK44,nil)),nil) = sK39
    | ~ spl55_42 ),
    inference(avatar_component_clause,[],[f845]) ).

fof(f873,plain,
    ( spl55_5
    | spl55_44
    | ~ spl55_8 ),
    inference(avatar_split_clause,[],[f862,f624,f870,f610]) ).

fof(f862,plain,
    ( cons(sK29(sK39),sK28(sK39)) = sK39
    | nil = sK39
    | ~ spl55_8 ),
    inference(resolution,[],[f452,f626]) ).

fof(f868,plain,
    ( spl55_43
    | spl55_35
    | ~ spl55_16 ),
    inference(avatar_split_clause,[],[f863,f666,f809,f865]) ).

fof(f863,plain,
    ( nil = sK45
    | cons(sK29(sK45),sK28(sK45)) = sK45
    | ~ spl55_16 ),
    inference(resolution,[],[f452,f668]) ).

fof(f848,plain,
    ( spl55_42
    | ~ spl55_20
    | ~ spl55_37 ),
    inference(avatar_split_clause,[],[f842,f817,f687,f845]) ).

fof(f842,plain,
    ( app(app(sK45,cons(sK44,nil)),nil) = sK39
    | ~ spl55_20
    | ~ spl55_37 ),
    inference(backward_demodulation,[],[f689,f819]) ).

fof(f835,plain,
    ( spl55_5
    | spl55_41
    | ~ spl55_8 ),
    inference(avatar_split_clause,[],[f804,f624,f833,f610]) ).

fof(f804,plain,
    ( ! [X15] :
        ( nil != app(sK39,X15)
        | ~ ssList(X15)
        | nil = sK39 )
    | ~ spl55_8 ),
    inference(resolution,[],[f362,f626]) ).

fof(f831,plain,
    ( spl55_39
    | spl55_40
    | ~ spl55_19 ),
    inference(avatar_split_clause,[],[f805,f681,f828,f825]) ).

fof(f825,plain,
    ( spl55_39
  <=> ! [X16] :
        ( nil != app(sK42,X16)
        | ~ ssList(X16) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl55_39])]) ).

fof(f828,plain,
    ( spl55_40
  <=> nil = sK42 ),
    introduced(avatar_definition,[new_symbols(naming,[spl55_40])]) ).

fof(f681,plain,
    ( spl55_19
  <=> ssList(sK42) ),
    introduced(avatar_definition,[new_symbols(naming,[spl55_19])]) ).

fof(f805,plain,
    ( ! [X16] :
        ( nil = sK42
        | nil != app(sK42,X16)
        | ~ ssList(X16) )
    | ~ spl55_19 ),
    inference(resolution,[],[f362,f683]) ).

fof(f683,plain,
    ( ssList(sK42)
    | ~ spl55_19 ),
    inference(avatar_component_clause,[],[f681]) ).

fof(f823,plain,
    ( spl55_37
    | spl55_38
    | ~ spl55_22 ),
    inference(avatar_split_clause,[],[f807,f696,f821,f817]) ).

fof(f821,plain,
    ( spl55_38
  <=> ! [X18] :
        ( ~ ssList(X18)
        | nil != app(sK46,X18) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl55_38])]) ).

fof(f807,plain,
    ( ! [X18] :
        ( ~ ssList(X18)
        | nil = sK46
        | nil != app(sK46,X18) )
    | ~ spl55_22 ),
    inference(resolution,[],[f362,f698]) ).

fof(f815,plain,
    ( spl55_35
    | spl55_36
    | ~ spl55_16 ),
    inference(avatar_split_clause,[],[f806,f666,f813,f809]) ).

fof(f806,plain,
    ( ! [X17] :
        ( nil != app(sK45,X17)
        | nil = sK45
        | ~ ssList(X17) )
    | ~ spl55_16 ),
    inference(resolution,[],[f362,f668]) ).

fof(f776,plain,
    ( spl55_34
    | ~ spl55_19 ),
    inference(avatar_split_clause,[],[f754,f681,f773]) ).

fof(f773,plain,
    ( spl55_34
  <=> app(nil,sK42) = sK42 ),
    introduced(avatar_definition,[new_symbols(naming,[spl55_34])]) ).

fof(f754,plain,
    ( app(nil,sK42) = sK42
    | ~ spl55_19 ),
    inference(resolution,[],[f546,f683]) ).

fof(f771,plain,
    ( spl55_33
    | ~ spl55_16 ),
    inference(avatar_split_clause,[],[f755,f666,f768]) ).

fof(f768,plain,
    ( spl55_33
  <=> app(nil,sK45) = sK45 ),
    introduced(avatar_definition,[new_symbols(naming,[spl55_33])]) ).

fof(f755,plain,
    ( app(nil,sK45) = sK45
    | ~ spl55_16 ),
    inference(resolution,[],[f546,f668]) ).

fof(f766,plain,
    ( spl55_32
    | ~ spl55_8 ),
    inference(avatar_split_clause,[],[f753,f624,f763]) ).

fof(f753,plain,
    ( app(nil,sK39) = sK39
    | ~ spl55_8 ),
    inference(resolution,[],[f546,f626]) ).

fof(f761,plain,
    ( spl55_31
    | ~ spl55_22 ),
    inference(avatar_split_clause,[],[f756,f696,f758]) ).

fof(f758,plain,
    ( spl55_31
  <=> app(nil,sK46) = sK46 ),
    introduced(avatar_definition,[new_symbols(naming,[spl55_31])]) ).

fof(f756,plain,
    ( app(nil,sK46) = sK46
    | ~ spl55_22 ),
    inference(resolution,[],[f546,f698]) ).

fof(f751,plain,
    ( spl55_30
    | ~ spl55_22 ),
    inference(avatar_split_clause,[],[f731,f696,f748]) ).

fof(f748,plain,
    ( spl55_30
  <=> app(sK46,nil) = sK46 ),
    introduced(avatar_definition,[new_symbols(naming,[spl55_30])]) ).

fof(f731,plain,
    ( app(sK46,nil) = sK46
    | ~ spl55_22 ),
    inference(resolution,[],[f447,f698]) ).

fof(f746,plain,
    ( spl55_29
    | ~ spl55_8 ),
    inference(avatar_split_clause,[],[f728,f624,f743]) ).

fof(f743,plain,
    ( spl55_29
  <=> sK39 = app(sK39,nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl55_29])]) ).

fof(f728,plain,
    ( sK39 = app(sK39,nil)
    | ~ spl55_8 ),
    inference(resolution,[],[f447,f626]) ).

fof(f741,plain,
    ( spl55_28
    | ~ spl55_16 ),
    inference(avatar_split_clause,[],[f730,f666,f738]) ).

fof(f730,plain,
    ( app(sK45,nil) = sK45
    | ~ spl55_16 ),
    inference(resolution,[],[f447,f668]) ).

fof(f736,plain,
    ( spl55_27
    | ~ spl55_19 ),
    inference(avatar_split_clause,[],[f729,f681,f733]) ).

fof(f733,plain,
    ( spl55_27
  <=> app(sK42,nil) = sK42 ),
    introduced(avatar_definition,[new_symbols(naming,[spl55_27])]) ).

fof(f729,plain,
    ( app(sK42,nil) = sK42
    | ~ spl55_19 ),
    inference(resolution,[],[f447,f683]) ).

fof(f726,plain,
    ( ~ spl55_1
    | spl55_26 ),
    inference(avatar_split_clause,[],[f717,f724,f591]) ).

fof(f717,plain,
    ! [X0,X1] :
      ( app(app(nil,cons(X0,nil)),X1) != sK39
      | ~ ssList(X1)
      | ~ ssItem(sK43(X0,nil,X1))
      | ~ ssItem(X0)
      | ~ ssList(nil) ),
    inference(resolution,[],[f379,f501]) ).

fof(f379,plain,
    ! [X0] :
      ( ~ memberP(nil,X0)
      | ~ ssItem(X0) ),
    inference(cnf_transformation,[],[f184]) ).

fof(f184,plain,
    ! [X0] :
      ( ~ ssItem(X0)
      | ~ memberP(nil,X0) ),
    inference(ennf_transformation,[],[f38]) ).

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

fof(f722,plain,
    ( ~ spl55_1
    | spl55_25 ),
    inference(avatar_split_clause,[],[f718,f720,f591]) ).

fof(f718,plain,
    ! [X2,X3] :
      ( app(app(X3,cons(X2,nil)),nil) != sK39
      | ~ ssItem(X2)
      | ~ ssItem(sK43(X2,X3,nil))
      | ~ ssList(nil)
      | ~ ssList(X3) ),
    inference(resolution,[],[f379,f504]) ).

fof(f714,plain,
    spl55_1,
    inference(avatar_split_clause,[],[f531,f591]) ).

fof(f531,plain,
    ssList(nil),
    inference(cnf_transformation,[],[f17]) ).

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

fof(f713,plain,
    spl55_24,
    inference(avatar_split_clause,[],[f460,f710]) ).

fof(f710,plain,
    ( spl55_24
  <=> strictorderedP(nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl55_24])]) ).

fof(f460,plain,
    strictorderedP(nil),
    inference(cnf_transformation,[],[f69]) ).

fof(f69,axiom,
    strictorderedP(nil),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax69) ).

fof(f708,plain,
    ~ spl55_23,
    inference(avatar_split_clause,[],[f511,f705]) ).

fof(f705,plain,
    ( spl55_23
  <=> sK48 = sK47 ),
    introduced(avatar_definition,[new_symbols(naming,[spl55_23])]) ).

fof(f511,plain,
    sK48 != sK47,
    inference(cnf_transformation,[],[f327]) ).

fof(f327,plain,
    ( ssItem(sK47)
    & sK48 != sK47
    & ssItem(sK48) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK47,sK48])],[f2,f326,f325]) ).

fof(f325,plain,
    ( ? [X0] :
        ( ssItem(X0)
        & ? [X1] :
            ( X0 != X1
            & ssItem(X1) ) )
   => ( ssItem(sK47)
      & ? [X1] :
          ( sK47 != X1
          & ssItem(X1) ) ) ),
    introduced(choice_axiom,[]) ).

fof(f326,plain,
    ( ? [X1] :
        ( sK47 != X1
        & ssItem(X1) )
   => ( sK48 != sK47
      & ssItem(sK48) ) ),
    introduced(choice_axiom,[]) ).

fof(f2,axiom,
    ? [X0] :
      ( ssItem(X0)
      & ? [X1] :
          ( X0 != X1
          & ssItem(X1) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax2) ).

fof(f702,plain,
    spl55_21,
    inference(avatar_split_clause,[],[f525,f692]) ).

fof(f692,plain,
    ( spl55_21
  <=> ! [X0] :
        ( strictorderedP(cons(X0,nil))
        | ~ ssItem(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl55_21])]) ).

fof(f525,plain,
    ! [X0] :
      ( ~ ssItem(X0)
      | strictorderedP(cons(X0,nil)) ),
    inference(cnf_transformation,[],[f114]) ).

fof(f114,plain,
    ! [X0] :
      ( strictorderedP(cons(X0,nil))
      | ~ ssItem(X0) ),
    inference(ennf_transformation,[],[f68]) ).

fof(f68,axiom,
    ! [X0] :
      ( ssItem(X0)
     => strictorderedP(cons(X0,nil)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax68) ).

fof(f699,plain,
    ( spl55_5
    | spl55_22 ),
    inference(avatar_split_clause,[],[f552,f696,f610]) ).

fof(f552,plain,
    ( ssList(sK46)
    | nil = sK39 ),
    inference(definition_unfolding,[],[f496,f507]) ).

fof(f507,plain,
    sK41 = sK39,
    inference(cnf_transformation,[],[f324]) ).

fof(f496,plain,
    ( ssList(sK46)
    | nil = sK41 ),
    inference(cnf_transformation,[],[f324]) ).

fof(f694,plain,
    ( spl55_21
    | ~ spl55_1 ),
    inference(avatar_split_clause,[],[f563,f591,f692]) ).

fof(f563,plain,
    ! [X0] :
      ( ~ ssList(nil)
      | strictorderedP(cons(X0,nil))
      | ~ ssItem(X0) ),
    inference(equality_resolution,[],[f371]) ).

fof(f371,plain,
    ! [X0,X1] :
      ( strictorderedP(cons(X0,X1))
      | nil != X1
      | ~ ssList(X1)
      | ~ ssItem(X0) ),
    inference(cnf_transformation,[],[f240]) ).

fof(f240,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( ( ( nil != X1
                & strictorderedP(X1)
                & lt(X0,hd(X1)) )
              | nil = X1
              | ~ strictorderedP(cons(X0,X1)) )
            & ( strictorderedP(cons(X0,X1))
              | ( ( nil = X1
                  | ~ strictorderedP(X1)
                  | ~ lt(X0,hd(X1)) )
                & nil != X1 ) ) )
          | ~ ssList(X1) )
      | ~ ssItem(X0) ),
    inference(flattening,[],[f239]) ).

fof(f239,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( ( ( nil != X1
                & strictorderedP(X1)
                & lt(X0,hd(X1)) )
              | nil = X1
              | ~ strictorderedP(cons(X0,X1)) )
            & ( strictorderedP(cons(X0,X1))
              | ( ( nil = X1
                  | ~ strictorderedP(X1)
                  | ~ lt(X0,hd(X1)) )
                & nil != X1 ) ) )
          | ~ ssList(X1) )
      | ~ ssItem(X0) ),
    inference(nnf_transformation,[],[f174]) ).

fof(f174,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( ( ( nil != X1
                & strictorderedP(X1)
                & lt(X0,hd(X1)) )
              | nil = X1 )
          <=> strictorderedP(cons(X0,X1)) )
          | ~ ssList(X1) )
      | ~ ssItem(X0) ),
    inference(ennf_transformation,[],[f70]) ).

fof(f70,axiom,
    ! [X0] :
      ( ssItem(X0)
     => ! [X1] :
          ( ssList(X1)
         => ( ( ( nil != X1
                & strictorderedP(X1)
                & lt(X0,hd(X1)) )
              | nil = X1 )
          <=> strictorderedP(cons(X0,X1)) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax70) ).

fof(f690,plain,
    ( spl55_20
    | spl55_5 ),
    inference(avatar_split_clause,[],[f551,f610,f687]) ).

fof(f551,plain,
    ( nil = sK39
    | app(app(sK45,cons(sK44,nil)),sK46) = sK39 ),
    inference(definition_unfolding,[],[f497,f507,f507]) ).

fof(f497,plain,
    ( sK41 = app(app(sK45,cons(sK44,nil)),sK46)
    | nil = sK41 ),
    inference(cnf_transformation,[],[f324]) ).

fof(f685,plain,
    spl55_19,
    inference(avatar_split_clause,[],[f555,f681]) ).

fof(f555,plain,
    ssList(sK42),
    inference(definition_unfolding,[],[f493,f506]) ).

fof(f506,plain,
    sK40 = sK42,
    inference(cnf_transformation,[],[f324]) ).

fof(f493,plain,
    ssList(sK40),
    inference(cnf_transformation,[],[f324]) ).

fof(f684,plain,
    spl55_19,
    inference(avatar_split_clause,[],[f500,f681]) ).

fof(f500,plain,
    ssList(sK42),
    inference(cnf_transformation,[],[f324]) ).

fof(f679,plain,
    spl55_18,
    inference(avatar_split_clause,[],[f510,f676]) ).

fof(f510,plain,
    ssItem(sK48),
    inference(cnf_transformation,[],[f327]) ).

fof(f674,plain,
    spl55_17,
    inference(avatar_split_clause,[],[f523,f671]) ).

fof(f671,plain,
    ( spl55_17
  <=> strictorderP(nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl55_17])]) ).

fof(f523,plain,
    strictorderP(nil),
    inference(cnf_transformation,[],[f64]) ).

fof(f64,axiom,
    strictorderP(nil),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax64) ).

fof(f669,plain,
    ( spl55_5
    | spl55_16 ),
    inference(avatar_split_clause,[],[f550,f666,f610]) ).

fof(f550,plain,
    ( ssList(sK45)
    | nil = sK39 ),
    inference(definition_unfolding,[],[f498,f507]) ).

fof(f498,plain,
    ( ssList(sK45)
    | nil = sK41 ),
    inference(cnf_transformation,[],[f324]) ).

fof(f664,plain,
    ~ spl55_5,
    inference(avatar_split_clause,[],[f508,f610]) ).

fof(f508,plain,
    nil != sK39,
    inference(cnf_transformation,[],[f324]) ).

fof(f663,plain,
    spl55_8,
    inference(avatar_split_clause,[],[f509,f624]) ).

fof(f509,plain,
    ssList(sK39),
    inference(cnf_transformation,[],[f324]) ).

fof(f662,plain,
    spl55_15,
    inference(avatar_split_clause,[],[f395,f659]) ).

fof(f659,plain,
    ( spl55_15
  <=> cyclefreeP(nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl55_15])]) ).

fof(f395,plain,
    cyclefreeP(nil),
    inference(cnf_transformation,[],[f60]) ).

fof(f60,axiom,
    cyclefreeP(nil),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax60) ).

fof(f657,plain,
    spl55_14,
    inference(avatar_split_clause,[],[f406,f654]) ).

fof(f654,plain,
    ( spl55_14
  <=> equalelemsP(nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl55_14])]) ).

fof(f406,plain,
    equalelemsP(nil),
    inference(cnf_transformation,[],[f74]) ).

fof(f74,axiom,
    equalelemsP(nil),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax74) ).

fof(f652,plain,
    spl55_13,
    inference(avatar_split_clause,[],[f394,f649]) ).

fof(f649,plain,
    ( spl55_13
  <=> totalorderP(nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl55_13])]) ).

fof(f394,plain,
    totalorderP(nil),
    inference(cnf_transformation,[],[f62]) ).

fof(f62,axiom,
    totalorderP(nil),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax62) ).

fof(f647,plain,
    ~ spl55_12,
    inference(avatar_split_clause,[],[f360,f644]) ).

fof(f644,plain,
    ( spl55_12
  <=> singletonP(nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl55_12])]) ).

fof(f360,plain,
    ~ singletonP(nil),
    inference(cnf_transformation,[],[f39]) ).

fof(f39,axiom,
    ~ singletonP(nil),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax39) ).

fof(f642,plain,
    spl55_11,
    inference(avatar_split_clause,[],[f414,f639]) ).

fof(f639,plain,
    ( spl55_11
  <=> totalorderedP(nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl55_11])]) ).

fof(f414,plain,
    totalorderedP(nil),
    inference(cnf_transformation,[],[f66]) ).

fof(f66,axiom,
    totalorderedP(nil),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax66) ).

fof(f636,plain,
    ( spl55_10
    | ~ spl55_1 ),
    inference(avatar_split_clause,[],[f588,f591,f633]) ).

fof(f633,plain,
    ( spl55_10
  <=> nil = app(nil,nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl55_10])]) ).

fof(f588,plain,
    ( ~ ssList(nil)
    | nil = app(nil,nil) ),
    inference(duplicate_literal_removal,[],[f560]) ).

fof(f560,plain,
    ( ~ ssList(nil)
    | ~ ssList(nil)
    | nil = app(nil,nil) ),
    inference(equality_resolution,[],[f559]) ).

fof(f559,plain,
    ! [X0] :
      ( ~ ssList(nil)
      | nil = app(X0,nil)
      | nil != X0
      | ~ ssList(X0) ),
    inference(equality_resolution,[],[f364]) ).

fof(f364,plain,
    ! [X0,X1] :
      ( ~ ssList(X1)
      | nil = app(X0,X1)
      | nil != X1
      | nil != X0
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f236]) ).

fof(f631,plain,
    ( spl55_5
    | spl55_9 ),
    inference(avatar_split_clause,[],[f553,f629,f610]) ).

fof(f629,plain,
    ( spl55_9
  <=> ! [X11] :
        ( ~ memberP(sK46,X11)
        | ~ memberP(sK45,X11)
        | ~ lt(sK44,X11)
        | leq(sK44,X11)
        | ~ ssItem(X11) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl55_9])]) ).

fof(f553,plain,
    ! [X11] :
      ( ~ memberP(sK46,X11)
      | ~ ssItem(X11)
      | leq(sK44,X11)
      | ~ lt(sK44,X11)
      | ~ memberP(sK45,X11)
      | nil = sK39 ),
    inference(definition_unfolding,[],[f495,f507]) ).

fof(f495,plain,
    ! [X11] :
      ( ~ ssItem(X11)
      | ~ memberP(sK46,X11)
      | leq(sK44,X11)
      | ~ memberP(sK45,X11)
      | ~ lt(sK44,X11)
      | nil = sK41 ),
    inference(cnf_transformation,[],[f324]) ).

fof(f627,plain,
    spl55_8,
    inference(avatar_split_clause,[],[f554,f624]) ).

fof(f554,plain,
    ssList(sK39),
    inference(definition_unfolding,[],[f494,f507]) ).

fof(f494,plain,
    ssList(sK41),
    inference(cnf_transformation,[],[f324]) ).

fof(f622,plain,
    spl55_7,
    inference(avatar_split_clause,[],[f445,f619]) ).

fof(f619,plain,
    ( spl55_7
  <=> duplicatefreeP(nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl55_7])]) ).

fof(f445,plain,
    duplicatefreeP(nil),
    inference(cnf_transformation,[],[f72]) ).

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

fof(f617,plain,
    ( spl55_5
    | spl55_6 ),
    inference(avatar_split_clause,[],[f549,f614,f610]) ).

fof(f549,plain,
    ( ssItem(sK44)
    | nil = sK39 ),
    inference(definition_unfolding,[],[f499,f507]) ).

fof(f499,plain,
    ( ssItem(sK44)
    | nil = sK41 ),
    inference(cnf_transformation,[],[f324]) ).

fof(f608,plain,
    ( ~ spl55_1
    | spl55_4 ),
    inference(avatar_split_clause,[],[f582,f605,f591]) ).

fof(f605,plain,
    ( spl55_4
  <=> frontsegP(nil,nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl55_4])]) ).

fof(f582,plain,
    ( frontsegP(nil,nil)
    | ~ ssList(nil) ),
    inference(equality_resolution,[],[f530]) ).

fof(f530,plain,
    ! [X0] :
      ( frontsegP(nil,X0)
      | nil != X0
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f336]) ).

fof(f336,plain,
    ! [X0] :
      ( ( ( frontsegP(nil,X0)
          | nil != X0 )
        & ( nil = X0
          | ~ frontsegP(nil,X0) ) )
      | ~ ssList(X0) ),
    inference(nnf_transformation,[],[f171]) ).

fof(f171,plain,
    ! [X0] :
      ( ( frontsegP(nil,X0)
      <=> nil = X0 )
      | ~ ssList(X0) ),
    inference(ennf_transformation,[],[f46]) ).

fof(f46,axiom,
    ! [X0] :
      ( ssList(X0)
     => ( frontsegP(nil,X0)
      <=> nil = X0 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax46) ).

fof(f603,plain,
    spl55_3,
    inference(avatar_split_clause,[],[f512,f600]) ).

fof(f512,plain,
    ssItem(sK47),
    inference(cnf_transformation,[],[f327]) ).

fof(f598,plain,
    ( ~ spl55_1
    | spl55_2 ),
    inference(avatar_split_clause,[],[f571,f595,f591]) ).

fof(f595,plain,
    ( spl55_2
  <=> segmentP(nil,nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl55_2])]) ).

fof(f571,plain,
    ( segmentP(nil,nil)
    | ~ ssList(nil) ),
    inference(equality_resolution,[],[f423]) ).

fof(f423,plain,
    ! [X0] :
      ( segmentP(nil,X0)
      | nil != X0
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f271]) ).

fof(f271,plain,
    ! [X0] :
      ( ( ( nil = X0
          | ~ segmentP(nil,X0) )
        & ( segmentP(nil,X0)
          | nil != X0 ) )
      | ~ ssList(X0) ),
    inference(nnf_transformation,[],[f99]) ).

fof(f99,plain,
    ! [X0] :
      ( ( nil = X0
      <=> segmentP(nil,X0) )
      | ~ ssList(X0) ),
    inference(ennf_transformation,[],[f58]) ).

fof(f58,axiom,
    ! [X0] :
      ( ssList(X0)
     => ( nil = X0
      <=> segmentP(nil,X0) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax58) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem    : SWC232+1 : TPTP v8.1.0. Released v2.4.0.
% 0.11/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.34  % Computer : n022.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit   : 300
% 0.13/0.34  % WCLimit    : 300
% 0.13/0.34  % DateTime   : Tue Aug 30 18:38:26 EDT 2022
% 0.13/0.34  % CPUTime    : 
% 0.19/0.56  % (32311)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 0.19/0.56  % (32294)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.57  % (32303)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 0.19/0.57  % (32295)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.19/0.57  % (32310)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 0.19/0.57  % (32302)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.19/0.57  % (32295)Instruction limit reached!
% 0.19/0.57  % (32295)------------------------------
% 0.19/0.57  % (32295)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.71/0.58  % (32299)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.71/0.59  % (32309)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 1.71/0.59  % (32295)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.71/0.59  % (32295)Termination reason: Unknown
% 1.71/0.59  % (32295)Termination phase: Function definition elimination
% 1.71/0.59  
% 1.71/0.59  % (32295)Memory used [KB]: 1279
% 1.71/0.59  % (32295)Time elapsed: 0.008 s
% 1.71/0.59  % (32295)Instructions burned: 8 (million)
% 1.71/0.59  % (32295)------------------------------
% 1.71/0.59  % (32295)------------------------------
% 1.71/0.59  % (32291)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.71/0.59  % (32288)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/191324Mi)
% 1.71/0.59  % (32301)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.71/0.59  % (32315)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/177Mi)
% 1.71/0.59  % (32298)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.71/0.59  % (32307)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.71/0.59  % (32292)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.83/0.59  % (32312)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 1.83/0.60  % (32306)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.83/0.60  % (32290)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 1.83/0.60  % (32304)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.83/0.60  % (32297)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.83/0.60  % (32313)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 1.83/0.60  % (32317)ott+10_7:2_awrs=decay:awrsf=8:bd=preordered:drc=off:fd=preordered:fde=unused:fsr=off:slsq=on:slsqc=2:slsqr=5,8:sp=const_min:spb=units:to=lpo:i=355:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/355Mi)
% 1.83/0.60  % (32300)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 1.83/0.60  % (32293)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 1.83/0.60  % (32289)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.83/0.60  % (32305)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 1.83/0.60  % (32296)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 1.83/0.61  % (32296)Instruction limit reached!
% 1.83/0.61  % (32296)------------------------------
% 1.83/0.61  % (32296)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.83/0.61  % (32296)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.83/0.61  % (32296)Termination reason: Unknown
% 1.83/0.61  % (32296)Termination phase: Naming
% 1.83/0.61  
% 1.83/0.61  % (32296)Memory used [KB]: 1151
% 1.83/0.61  % (32296)Time elapsed: 0.004 s
% 1.83/0.61  % (32296)Instructions burned: 3 (million)
% 1.83/0.61  % (32296)------------------------------
% 1.83/0.61  % (32296)------------------------------
% 1.83/0.61  % (32308)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/176Mi)
% 1.83/0.62  % (32314)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 1.83/0.62  % (32316)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 1.83/0.62  TRYING [1]
% 1.83/0.62  TRYING [2]
% 2.09/0.64  TRYING [1]
% 2.09/0.64  TRYING [2]
% 2.09/0.65  % (32294)Instruction limit reached!
% 2.09/0.65  % (32294)------------------------------
% 2.09/0.65  % (32294)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.09/0.65  % (32294)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.09/0.65  % (32294)Termination reason: Unknown
% 2.09/0.65  % (32294)Termination phase: Finite model building SAT solving
% 2.09/0.65  
% 2.09/0.65  % (32294)Memory used [KB]: 7164
% 2.09/0.65  % (32294)Time elapsed: 0.183 s
% 2.09/0.65  % (32294)Instructions burned: 51 (million)
% 2.09/0.65  % (32294)------------------------------
% 2.09/0.65  % (32294)------------------------------
% 2.09/0.66  % (32290)Instruction limit reached!
% 2.09/0.66  % (32290)------------------------------
% 2.09/0.66  % (32290)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.09/0.66  % (32290)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.09/0.66  % (32290)Termination reason: Unknown
% 2.09/0.66  % (32290)Termination phase: Saturation
% 2.09/0.66  
% 2.09/0.66  % (32290)Memory used [KB]: 1663
% 2.09/0.66  % (32290)Time elapsed: 0.237 s
% 2.09/0.66  % (32290)Instructions burned: 38 (million)
% 2.09/0.66  % (32290)------------------------------
% 2.09/0.66  % (32290)------------------------------
% 2.09/0.66  TRYING [1]
% 2.09/0.66  % (32289)Refutation not found, incomplete strategy% (32289)------------------------------
% 2.09/0.66  % (32289)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.09/0.66  % (32289)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.09/0.66  % (32289)Termination reason: Refutation not found, incomplete strategy
% 2.09/0.66  
% 2.09/0.66  % (32289)Memory used [KB]: 6268
% 2.09/0.66  % (32289)Time elapsed: 0.176 s
% 2.09/0.66  % (32289)Instructions burned: 28 (million)
% 2.09/0.66  % (32289)------------------------------
% 2.09/0.66  % (32289)------------------------------
% 2.09/0.66  TRYING [2]
% 2.09/0.66  TRYING [3]
% 2.09/0.67  % (32298)Instruction limit reached!
% 2.09/0.67  % (32298)------------------------------
% 2.09/0.67  % (32298)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.09/0.68  % (32293)Instruction limit reached!
% 2.09/0.68  % (32293)------------------------------
% 2.09/0.68  % (32293)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.09/0.68  % (32293)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.09/0.68  % (32293)Termination reason: Unknown
% 2.09/0.68  % (32293)Termination phase: Saturation
% 2.09/0.68  
% 2.09/0.68  % (32293)Memory used [KB]: 6268
% 2.09/0.68  % (32293)Time elapsed: 0.255 s
% 2.09/0.68  % (32293)Instructions burned: 48 (million)
% 2.09/0.68  % (32293)------------------------------
% 2.09/0.68  % (32293)------------------------------
% 2.09/0.68  % (32298)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.09/0.68  % (32298)Termination reason: Unknown
% 2.09/0.68  % (32298)Termination phase: Saturation
% 2.09/0.68  
% 2.09/0.68  % (32298)Memory used [KB]: 6780
% 2.09/0.68  % (32298)Time elapsed: 0.253 s
% 2.09/0.68  % (32298)Instructions burned: 50 (million)
% 2.09/0.68  % (32298)------------------------------
% 2.09/0.68  % (32298)------------------------------
% 2.09/0.68  % (32291)Instruction limit reached!
% 2.09/0.68  % (32291)------------------------------
% 2.09/0.68  % (32291)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.09/0.68  % (32305)Instruction limit reached!
% 2.09/0.68  % (32305)------------------------------
% 2.09/0.68  % (32305)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.09/0.68  % (32302)Instruction limit reached!
% 2.09/0.68  % (32302)------------------------------
% 2.09/0.68  % (32302)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.09/0.68  % (32302)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.09/0.68  % (32302)Termination reason: Unknown
% 2.09/0.68  % (32302)Termination phase: Saturation
% 2.09/0.68  
% 2.09/0.68  % (32302)Memory used [KB]: 7164
% 2.09/0.68  % (32302)Time elapsed: 0.040 s
% 2.09/0.68  % (32302)Instructions burned: 68 (million)
% 2.09/0.68  % (32302)------------------------------
% 2.09/0.68  % (32302)------------------------------
% 2.09/0.68  % (32297)Instruction limit reached!
% 2.09/0.68  % (32297)------------------------------
% 2.09/0.68  % (32297)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.09/0.69  % (32292)Instruction limit reached!
% 2.09/0.69  % (32292)------------------------------
% 2.09/0.69  % (32292)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.09/0.69  % (32292)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.09/0.69  % (32292)Termination reason: Unknown
% 2.09/0.69  % (32292)Termination phase: Saturation
% 2.09/0.69  
% 2.09/0.69  % (32292)Memory used [KB]: 6524
% 2.09/0.69  % (32292)Time elapsed: 0.265 s
% 2.09/0.69  % (32292)Instructions burned: 51 (million)
% 2.09/0.69  % (32292)------------------------------
% 2.09/0.69  % (32292)------------------------------
% 2.09/0.69  % (32291)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.09/0.69  % (32291)Termination reason: Unknown
% 2.09/0.69  % (32291)Termination phase: Saturation
% 2.09/0.69  
% 2.09/0.69  % (32291)Memory used [KB]: 6652
% 2.09/0.69  % (32291)Time elapsed: 0.244 s
% 2.09/0.69  % (32291)Instructions burned: 52 (million)
% 2.09/0.69  % (32291)------------------------------
% 2.09/0.69  % (32291)------------------------------
% 2.65/0.70  % (32297)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.65/0.70  % (32297)Termination reason: Unknown
% 2.65/0.70  % (32305)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.65/0.70  % (32305)Termination reason: Unknown
% 2.65/0.70  % (32305)Termination phase: Finite model building constraint generation
% 2.65/0.70  
% 2.65/0.70  % (32305)Memory used [KB]: 7419
% 2.65/0.70  % (32305)Time elapsed: 0.197 s
% 2.65/0.70  % (32305)Instructions burned: 59 (million)
% 2.65/0.70  % (32305)------------------------------
% 2.65/0.70  % (32305)------------------------------
% 2.65/0.70  % (32297)Termination phase: Saturation
% 2.65/0.70  
% 2.65/0.70  % (32297)Memory used [KB]: 2302
% 2.65/0.70  % (32297)Time elapsed: 0.216 s
% 2.65/0.70  % (32297)Instructions burned: 52 (million)
% 2.65/0.70  % (32297)------------------------------
% 2.65/0.70  % (32297)------------------------------
% 2.65/0.71  % (32303)Instruction limit reached!
% 2.65/0.71  % (32303)------------------------------
% 2.65/0.71  % (32303)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.65/0.71  % (32326)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=388:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/388Mi)
% 2.65/0.72  % (32303)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.65/0.72  % (32303)Termination reason: Unknown
% 2.65/0.72  % (32303)Termination phase: Saturation
% 2.65/0.72  
% 2.65/0.72  % (32303)Memory used [KB]: 2430
% 2.65/0.72  % (32303)Time elapsed: 0.284 s
% 2.65/0.72  % (32303)Instructions burned: 76 (million)
% 2.65/0.72  % (32303)------------------------------
% 2.65/0.72  % (32303)------------------------------
% 2.65/0.72  % (32335)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=211:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/211Mi)
% 2.65/0.74  % (32304)Instruction limit reached!
% 2.65/0.74  % (32304)------------------------------
% 2.65/0.74  % (32304)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.65/0.74  % (32304)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.65/0.74  % (32304)Termination reason: Unknown
% 2.65/0.74  % (32304)Termination phase: Saturation
% 2.65/0.74  
% 2.65/0.74  % (32304)Memory used [KB]: 6908
% 2.65/0.74  % (32304)Time elapsed: 0.325 s
% 2.65/0.74  % (32304)Instructions burned: 99 (million)
% 2.65/0.74  % (32304)------------------------------
% 2.65/0.74  % (32304)------------------------------
% 2.65/0.75  % (32314)Instruction limit reached!
% 2.65/0.75  % (32314)------------------------------
% 2.65/0.75  % (32314)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.65/0.75  % (32314)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.65/0.75  % (32314)Termination reason: Unknown
% 2.65/0.75  % (32314)Termination phase: Saturation
% 2.65/0.75  
% 2.65/0.75  % (32314)Memory used [KB]: 7164
% 2.65/0.75  % (32314)Time elapsed: 0.038 s
% 2.65/0.75  % (32314)Instructions burned: 69 (million)
% 2.65/0.75  % (32314)------------------------------
% 2.65/0.75  % (32314)------------------------------
% 2.65/0.75  TRYING [4]
% 2.65/0.76  % (32306)Instruction limit reached!
% 2.65/0.76  % (32306)------------------------------
% 2.65/0.76  % (32306)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.65/0.76  % (32306)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.65/0.76  % (32306)Termination reason: Unknown
% 2.65/0.76  % (32306)Termination phase: Saturation
% 2.65/0.76  
% 2.65/0.76  % (32306)Memory used [KB]: 7291
% 2.65/0.76  % (32306)Time elapsed: 0.323 s
% 2.65/0.76  % (32306)Instructions burned: 102 (million)
% 2.65/0.76  % (32306)------------------------------
% 2.65/0.76  % (32306)------------------------------
% 2.97/0.77  % (32301)Instruction limit reached!
% 2.97/0.77  % (32301)------------------------------
% 2.97/0.77  % (32301)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.97/0.77  % (32301)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.97/0.77  % (32301)Termination reason: Unknown
% 2.97/0.77  % (32301)Termination phase: Saturation
% 2.97/0.77  
% 2.97/0.77  % (32301)Memory used [KB]: 7291
% 2.97/0.77  % (32301)Time elapsed: 0.341 s
% 2.97/0.77  % (32301)Instructions burned: 99 (million)
% 2.97/0.77  % (32301)------------------------------
% 2.97/0.77  % (32301)------------------------------
% 2.97/0.78  % (32299)Instruction limit reached!
% 2.97/0.78  % (32299)------------------------------
% 2.97/0.78  % (32299)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.97/0.78  % (32299)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.97/0.78  % (32299)Termination reason: Unknown
% 2.97/0.78  % (32299)Termination phase: Saturation
% 2.97/0.78  
% 2.97/0.78  % (32299)Memory used [KB]: 7803
% 2.97/0.78  % (32299)Time elapsed: 0.364 s
% 2.97/0.78  % (32299)Instructions burned: 101 (million)
% 2.97/0.78  % (32299)------------------------------
% 2.97/0.78  % (32299)------------------------------
% 2.97/0.78  % (32353)dis+22_1:128_bsd=on:rp=on:slsq=on:slsqc=1:slsqr=1,6:sp=frequency:spb=goal:thsq=on:thsqc=16:thsqd=1:thsql=off:i=90:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/90Mi)
% 2.97/0.78  % (32307)Instruction limit reached!
% 2.97/0.78  % (32307)------------------------------
% 2.97/0.78  % (32307)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.97/0.78  % (32307)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.97/0.78  % (32307)Termination reason: Unknown
% 2.97/0.78  % (32307)Termination phase: Saturation
% 2.97/0.78  
% 2.97/0.78  % (32307)Memory used [KB]: 2558
% 2.97/0.78  % (32307)Time elapsed: 0.346 s
% 2.97/0.78  % (32307)Instructions burned: 100 (million)
% 2.97/0.78  % (32307)------------------------------
% 2.97/0.78  % (32307)------------------------------
% 2.97/0.79  % (32366)ott+1_1:2_i=920:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/920Mi)
% 2.97/0.79  % (32300)Instruction limit reached!
% 2.97/0.79  % (32300)------------------------------
% 2.97/0.79  % (32300)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.97/0.79  % (32300)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.97/0.79  % (32300)Termination reason: Unknown
% 2.97/0.79  % (32300)Termination phase: Saturation
% 2.97/0.79  
% 2.97/0.79  % (32300)Memory used [KB]: 7419
% 2.97/0.79  % (32300)Time elapsed: 0.355 s
% 2.97/0.79  % (32300)Instructions burned: 102 (million)
% 2.97/0.79  % (32300)------------------------------
% 2.97/0.79  % (32300)------------------------------
% 2.97/0.80  % (32371)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=655:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/655Mi)
% 2.97/0.80  % (32384)dis+22_1:128_bsd=on:rp=on:slsq=on:slsqc=1:slsqr=1,6:sp=frequency:spb=goal:thsq=on:thsqc=16:thsqd=1:thsql=off:i=90:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/90Mi)
% 2.97/0.81  % (32368)ott+10_1:50_bsr=unit_only:drc=off:fd=preordered:sp=frequency:i=747:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/747Mi)
% 2.97/0.81  % (32373)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/68Mi)
% 2.97/0.81  % (32367)ott+1_1:7_bd=off:i=934:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/934Mi)
% 2.97/0.82  WARNING Broken Constraint: if sine_depth(2) has been set then sine_selection(off) is not equal to off
% 2.97/0.82  % (32380)ott+11_4:1_br=off:fde=none:s2a=on:sd=2:sp=frequency:urr=on:i=981:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/981Mi)
% 2.97/0.82  % (32375)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=940:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/940Mi)
% 2.97/0.83  % (32385)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=2016:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/2016Mi)
% 2.97/0.84  % (32402)ott+11_9:8_add=large:afp=10:amm=off:fsd=on:fsr=off:lma=on:nm=0:nwc=2.4:s2a=on:s2agt=10:sas=z3:sp=reverse_arity:tha=some:thi=overlap:i=4958:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/4958Mi)
% 2.97/0.85  % (32391)dis+10_1:2_atotf=0.3:i=3735:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/3735Mi)
% 2.97/0.86  % (32309)Instruction limit reached!
% 2.97/0.86  % (32309)------------------------------
% 2.97/0.86  % (32309)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.97/0.86  % (32309)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.97/0.86  % (32309)Termination reason: Unknown
% 2.97/0.86  % (32309)Termination phase: Saturation
% 2.97/0.86  
% 2.97/0.86  % (32309)Memory used [KB]: 7675
% 2.97/0.86  % (32309)Time elapsed: 0.425 s
% 2.97/0.86  % (32309)Instructions burned: 138 (million)
% 2.97/0.86  % (32309)------------------------------
% 2.97/0.86  % (32309)------------------------------
% 3.31/0.86  % (32421)ott+10_1:1_kws=precedence:tgt=ground:i=4756:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/4756Mi)
% 3.31/0.87  % (32412)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=4959:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/4959Mi)
% 3.37/0.90  % (32308)Instruction limit reached!
% 3.37/0.90  % (32308)------------------------------
% 3.37/0.90  % (32308)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.37/0.90  % (32308)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.37/0.90  % (32308)Termination reason: Unknown
% 3.37/0.90  % (32308)Termination phase: Saturation
% 3.37/0.90  
% 3.37/0.90  % (32308)Memory used [KB]: 6652
% 3.37/0.90  % (32308)Time elapsed: 0.451 s
% 3.37/0.90  % (32308)Instructions burned: 178 (million)
% 3.37/0.90  % (32308)------------------------------
% 3.37/0.90  % (32308)------------------------------
% 3.37/0.91  % (32433)ott+3_1:1_atotf=0.2:fsr=off:kws=precedence:sp=weighted_frequency:spb=intro:tgt=ground:i=4931:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/4931Mi)
% 3.37/0.91  % (32434)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/68Mi)
% 3.37/0.91  % (32315)Instruction limit reached!
% 3.37/0.91  % (32315)------------------------------
% 3.37/0.91  % (32315)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.37/0.91  % (32315)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.37/0.91  % (32315)Termination reason: Unknown
% 3.37/0.91  % (32315)Termination phase: Saturation
% 3.37/0.91  
% 3.37/0.91  % (32315)Memory used [KB]: 3582
% 3.37/0.91  % (32315)Time elapsed: 0.498 s
% 3.37/0.91  % (32315)Instructions burned: 177 (million)
% 3.37/0.91  % (32315)------------------------------
% 3.37/0.91  % (32315)------------------------------
% 3.37/0.91  % (32439)ott+11_9:8_amm=off:bsd=on:etr=on:fsd=on:fsr=off:lma=on:newcnf=on:nm=0:nwc=3.0:s2a=on:s2agt=10:sas=z3:tha=some:i=1824:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/1824Mi)
% 3.37/0.93  % (32373)Instruction limit reached!
% 3.37/0.93  % (32373)------------------------------
% 3.37/0.93  % (32373)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.37/0.93  % (32373)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.37/0.93  % (32373)Termination reason: Unknown
% 3.37/0.93  % (32373)Termination phase: Saturation
% 3.37/0.93  
% 3.37/0.93  % (32373)Memory used [KB]: 7036
% 3.37/0.93  % (32373)Time elapsed: 0.035 s
% 3.37/0.93  % (32373)Instructions burned: 68 (million)
% 3.37/0.93  % (32373)------------------------------
% 3.37/0.93  % (32373)------------------------------
% 3.47/0.93  % (32444)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=2134:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/2134Mi)
% 3.53/0.94  % (32353)Instruction limit reached!
% 3.53/0.94  % (32353)------------------------------
% 3.53/0.94  % (32353)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.53/0.94  % (32353)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.53/0.94  % (32353)Termination reason: Unknown
% 3.53/0.94  % (32353)Termination phase: Saturation
% 3.53/0.94  
% 3.53/0.94  % (32353)Memory used [KB]: 6908
% 3.53/0.94  % (32353)Time elapsed: 0.253 s
% 3.53/0.94  % (32353)Instructions burned: 90 (million)
% 3.53/0.94  % (32353)------------------------------
% 3.53/0.94  % (32353)------------------------------
% 3.53/0.97  % (32384)Instruction limit reached!
% 3.53/0.97  % (32384)------------------------------
% 3.53/0.97  % (32384)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.53/0.97  % (32384)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.53/0.97  % (32384)Termination reason: Unknown
% 3.53/0.97  % (32384)Termination phase: Saturation
% 3.53/0.97  
% 3.53/0.97  % (32384)Memory used [KB]: 6780
% 3.53/0.97  % (32384)Time elapsed: 0.247 s
% 3.53/0.97  % (32384)Instructions burned: 90 (million)
% 3.53/0.97  % (32384)------------------------------
% 3.53/0.97  % (32384)------------------------------
% 3.82/1.00  % (32482)ott-1_1:1_sp=const_frequency:i=2891:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/2891Mi)
% 3.82/1.01  TRYING [5]
% 3.82/1.02  % (32335)Instruction limit reached!
% 3.82/1.02  % (32335)------------------------------
% 3.82/1.02  % (32335)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.82/1.02  % (32335)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.82/1.02  % (32335)Termination reason: Unknown
% 3.82/1.02  % (32335)Termination phase: Saturation
% 3.82/1.02  
% 3.82/1.02  % (32335)Memory used [KB]: 4477
% 3.82/1.02  % (32335)Time elapsed: 0.367 s
% 3.82/1.02  % (32335)Instructions burned: 211 (million)
% 3.82/1.02  % (32335)------------------------------
% 3.82/1.02  % (32335)------------------------------
% 3.82/1.02  % (32434)Instruction limit reached!
% 3.82/1.02  % (32434)------------------------------
% 3.82/1.02  % (32434)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.82/1.02  % (32434)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.82/1.02  % (32434)Termination reason: Unknown
% 3.82/1.02  % (32434)Termination phase: Saturation
% 3.82/1.02  
% 3.82/1.02  % (32434)Memory used [KB]: 7164
% 3.82/1.02  % (32434)Time elapsed: 0.036 s
% 3.82/1.02  % (32434)Instructions burned: 69 (million)
% 3.82/1.02  % (32434)------------------------------
% 3.82/1.02  % (32434)------------------------------
% 3.82/1.03  % (32496)dis+2_1:64_add=large:bce=on:bd=off:i=4585:si=on:rawr=on:rtra=on_0 on theBenchmark for (2994ds/4585Mi)
% 3.82/1.04  % (32500)dis+22_1:128_bsd=on:rp=on:slsq=on:slsqc=1:slsqr=1,6:sp=frequency:spb=goal:thsq=on:thsqc=16:thsqd=1:thsql=off:i=90:si=on:rawr=on:rtra=on_0 on theBenchmark for (2994ds/90Mi)
% 3.82/1.07  % (32501)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=2016:si=on:rawr=on:rtra=on_0 on theBenchmark for (2994ds/2016Mi)
% 3.82/1.07  % (32502)dis+10_1:2_atotf=0.3:i=8004:si=on:rawr=on:rtra=on_0 on theBenchmark for (2994ds/8004Mi)
% 5.63/1.12  % (32515)ott+11_9:8_add=large:afp=10:amm=off:fsd=on:fsr=off:lma=on:nm=0:nwc=2.4:s2a=on:s2agt=10:sas=z3:sp=reverse_arity:tha=some:thi=overlap:i=9965:si=on:rawr=on:rtra=on_0 on theBenchmark for (2993ds/9965Mi)
% 5.63/1.14  % (32529)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=9877:si=on:rawr=on:rtra=on_0 on theBenchmark for (2993ds/9877Mi)
% 5.63/1.16  % (32530)ins+10_1:16_bce=on:fde=unused:igpr=on:igs=35:igwr=on:sp=const_frequency:tgt=full:to=lpo:i=9902:si=on:rawr=on:rtra=on_0 on theBenchmark for (2993ds/9902Mi)
% 6.60/1.21  % (32500)Instruction limit reached!
% 6.60/1.21  % (32500)------------------------------
% 6.60/1.21  % (32500)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 6.60/1.21  % (32500)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 6.60/1.21  % (32500)Termination reason: Unknown
% 6.60/1.21  % (32500)Termination phase: Saturation
% 6.60/1.21  
% 6.60/1.21  % (32500)Memory used [KB]: 7547
% 6.60/1.21  % (32500)Time elapsed: 0.221 s
% 6.60/1.21  % (32500)Instructions burned: 92 (million)
% 6.60/1.21  % (32500)------------------------------
% 6.60/1.21  % (32500)------------------------------
% 6.60/1.22  % (32310)Instruction limit reached!
% 6.60/1.22  % (32310)------------------------------
% 6.60/1.22  % (32310)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 6.60/1.22  % (32310)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 6.60/1.22  % (32310)Termination reason: Unknown
% 6.60/1.22  % (32310)Termination phase: Saturation
% 6.60/1.22  
% 6.60/1.22  % (32310)Memory used [KB]: 4349
% 6.60/1.22  % (32310)Time elapsed: 0.761 s
% 6.60/1.22  % (32310)Instructions burned: 499 (million)
% 6.60/1.22  % (32310)------------------------------
% 6.60/1.22  % (32310)------------------------------
% 6.80/1.28  % (32317)Instruction limit reached!
% 6.80/1.28  % (32317)------------------------------
% 6.80/1.28  % (32317)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 6.80/1.28  % (32317)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 6.80/1.28  % (32317)Termination reason: Unknown
% 6.80/1.28  % (32317)Termination phase: Saturation
% 6.80/1.28  
% 6.80/1.28  % (32317)Memory used [KB]: 12025
% 6.80/1.28  % (32317)Time elapsed: 0.840 s
% 6.80/1.28  % (32317)Instructions burned: 356 (million)
% 6.80/1.28  % (32317)------------------------------
% 6.80/1.28  % (32317)------------------------------
% 7.50/1.32  % (32579)ott+11_9:8_amm=off:bsd=on:etr=on:fsd=on:fsr=off:lma=on:newcnf=on:nm=0:nwc=3.0:s2a=on:s2agt=10:sas=z3:tha=some:i=1824:si=on:rawr=on:rtra=on_0 on theBenchmark for (2991ds/1824Mi)
% 7.50/1.34  % (32580)dis+2_1:64_add=large:bce=on:bd=off:i=9989:si=on:rawr=on:rtra=on_0 on theBenchmark for (2991ds/9989Mi)
% 7.50/1.36  % (32312)Instruction limit reached!
% 7.50/1.36  % (32312)------------------------------
% 7.50/1.36  % (32312)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 7.50/1.38  % (32326)Instruction limit reached!
% 7.50/1.38  % (32326)------------------------------
% 7.50/1.38  % (32326)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 7.50/1.38  % (32312)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 7.50/1.38  % (32312)Termination reason: Unknown
% 7.50/1.38  % (32312)Termination phase: Saturation
% 7.50/1.38  
% 7.50/1.38  % (32312)Memory used [KB]: 12281
% 7.50/1.38  % (32312)Time elapsed: 0.926 s
% 7.50/1.38  % (32312)Instructions burned: 483 (million)
% 7.50/1.38  % (32312)------------------------------
% 7.50/1.38  % (32312)------------------------------
% 7.50/1.39  % (32326)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 7.50/1.39  % (32326)Termination reason: Unknown
% 7.50/1.39  % (32326)Termination phase: Saturation
% 7.50/1.39  
% 7.50/1.39  % (32326)Memory used [KB]: 9466
% 7.50/1.39  % (32326)Time elapsed: 0.760 s
% 7.50/1.39  % (32326)Instructions burned: 388 (million)
% 7.50/1.39  % (32326)------------------------------
% 7.50/1.39  % (32326)------------------------------
% 8.03/1.40  % (32316)Instruction limit reached!
% 8.03/1.40  % (32316)------------------------------
% 8.03/1.40  % (32316)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 8.03/1.41  % (32581)ott-11_1:32_i=9707:si=on:rawr=on:rtra=on_0 on theBenchmark for (2990ds/9707Mi)
% 8.03/1.42  % (32316)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 8.03/1.42  % (32316)Termination reason: Unknown
% 8.03/1.42  % (32316)Termination phase: Saturation
% 8.03/1.42  
% 8.03/1.42  % (32316)Memory used [KB]: 10234
% 8.03/1.42  % (32316)Time elapsed: 0.967 s
% 8.03/1.42  % (32316)Instructions burned: 440 (million)
% 8.03/1.42  % (32316)------------------------------
% 8.03/1.42  % (32316)------------------------------
% 8.03/1.44  % (32311)Instruction limit reached!
% 8.03/1.44  % (32311)------------------------------
% 8.03/1.44  % (32311)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 8.03/1.45  % (32311)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 8.03/1.45  % (32311)Termination reason: Unknown
% 8.03/1.45  % (32311)Termination phase: Saturation
% 8.03/1.45  
% 8.03/1.45  % (32311)Memory used [KB]: 10362
% 8.03/1.45  % (32311)Time elapsed: 1.002 s
% 8.03/1.45  % (32311)Instructions burned: 468 (million)
% 8.03/1.45  % (32311)------------------------------
% 8.03/1.45  % (32311)------------------------------
% 8.61/1.47  % (32313)Instruction limit reached!
% 8.61/1.47  % (32313)------------------------------
% 8.61/1.47  % (32313)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 8.61/1.47  % (32313)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 8.61/1.47  % (32313)Termination reason: Unknown
% 8.61/1.47  % (32313)Termination phase: Saturation
% 8.61/1.47  
% 8.61/1.47  % (32313)Memory used [KB]: 11385
% 8.61/1.47  % (32313)Time elapsed: 1.003 s
% 8.61/1.47  % (32313)Instructions burned: 500 (million)
% 8.61/1.47  % (32313)------------------------------
% 8.61/1.47  % (32313)------------------------------
% 8.61/1.49  % (32582)dis+22_1:128_bsd=on:rp=on:slsq=on:slsqc=1:slsqr=1,6:sp=frequency:spb=goal:thsq=on:thsqc=16:thsqd=1:thsql=off:i=90:si=on:rawr=on:rtra=on_0 on theBenchmark for (2989ds/90Mi)
% 8.75/1.52  % (32583)ott+3_1:1_abs=on:anc=none:bs=on:fsr=off:spb=goal_then_units:i=44001:si=on:rawr=on:rtra=on_0 on theBenchmark for (2989ds/44001Mi)
% 8.87/1.56  % (32585)ott+1_27:428_av=off:awrs=converge:awrsf=8:bsr=unit_only:drc=off:fd=preordered:newcnf=on:nwc=1.5:skr=on:slsq=on:slsqc=2:slsql=off:slsqr=1,4:sp=reverse_frequency:uwa=one_side_constant:i=35256:si=on:rawr=on:rtra=on_0 on theBenchmark for (2988ds/35256Mi)
% 8.87/1.57  % (32584)ott+11_9:8_add=large:afp=10:amm=off:fsd=on:fsr=off:lma=on:nm=0:nwc=2.4:s2a=on:s2agt=10:sas=z3:sp=reverse_arity:tha=some:thi=overlap:i=4958:si=on:rawr=on:rtra=on_0 on theBenchmark for (2989ds/4958Mi)
% 8.87/1.61  % (32586)dis+1002_1:1_fde=unused:nwc=10.0:s2a=on:s2at=3.0:sac=on:i=32293:si=on:rawr=on:rtra=on_0 on theBenchmark for (2988ds/32293Mi)
% 9.45/1.63  % (32582)Instruction limit reached!
% 9.45/1.63  % (32582)------------------------------
% 9.45/1.63  % (32582)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 9.45/1.63  % (32582)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 9.45/1.63  % (32582)Termination reason: Unknown
% 9.45/1.63  % (32582)Termination phase: Saturation
% 9.45/1.63  
% 9.45/1.63  % (32582)Memory used [KB]: 7291
% 9.45/1.63  % (32582)Time elapsed: 0.207 s
% 9.45/1.63  % (32582)Instructions burned: 90 (million)
% 9.45/1.63  % (32582)------------------------------
% 9.45/1.63  % (32582)------------------------------
% 9.45/1.65  % (32371)Instruction limit reached!
% 9.45/1.65  % (32371)------------------------------
% 9.45/1.65  % (32371)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 9.45/1.67  % (32371)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 9.45/1.67  % (32371)Termination reason: Unknown
% 9.45/1.67  % (32371)Termination phase: Saturation
% 9.45/1.67  
% 9.45/1.67  % (32371)Memory used [KB]: 4605
% 9.45/1.67  % (32371)Time elapsed: 0.945 s
% 9.45/1.67  % (32371)Instructions burned: 656 (million)
% 9.45/1.67  % (32371)------------------------------
% 9.45/1.67  % (32371)------------------------------
% 11.23/1.79  % (32587)ott+21_1:28_afr=on:anc=all_dependent:bs=on:bsr=unit_only:nicw=on:sp=const_frequency:uhcvi=on:i=37001:si=on:rawr=on:rtra=on_0 on theBenchmark for (2987ds/37001Mi)
% 11.23/1.80  % (32588)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=10187:si=on:rawr=on:rtra=on_0 on theBenchmark for (2986ds/10187Mi)
% 11.52/1.85  % (32515)First to succeed.
% 11.52/1.88  % (32515)Refutation found. Thanks to Tanya!
% 11.52/1.88  % SZS status Theorem for theBenchmark
% 11.52/1.88  % SZS output start Proof for theBenchmark
% See solution above
% 11.52/1.89  % (32515)------------------------------
% 11.52/1.89  % (32515)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 11.52/1.89  % (32515)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 11.52/1.89  % (32515)Termination reason: Refutation
% 11.52/1.89  
% 11.52/1.89  % (32515)Memory used [KB]: 2686
% 11.52/1.89  % (32515)Time elapsed: 0.830 s
% 11.52/1.89  % (32515)Instructions burned: 557 (million)
% 11.52/1.89  % (32515)------------------------------
% 11.52/1.89  % (32515)------------------------------
% 11.52/1.89  % (32287)Success in time 1.533 s
%------------------------------------------------------------------------------