TSTP Solution File: SWW643_2 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : SWW643_2 : TPTP v8.1.0. Released v6.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s

% Computer : n028.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 19:09:16 EDT 2022

% Result   : Theorem 2.59s 0.82s
% Output   : Refutation 2.59s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   16
%            Number of leaves      :   72
% Syntax   : Number of formulae    :  236 (  22 unt;  46 typ;   0 def)
%            Number of atoms       :  956 ( 336 equ)
%            Maximal formula atoms :   44 (   5 avg)
%            Number of connectives : 1216 ( 450   ~; 552   |; 146   &)
%                                         (  24 <=>;  43  =>;   0  <=;   1 <~>)
%            Maximal formula depth :   22 (   6 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number arithmetic     :  150 (  75 atm;   0 fun;   0 num;  75 var)
%            Number of types       :    7 (   5 usr;   1 ari)
%            Number of type conns  :   50 (  26   >;  24   *;   0   +;   0  <<)
%            Number of predicates  :   17 (  13 usr;  11 prp; 0-3 aty)
%            Number of functors    :   38 (  38 usr;  15 con; 0-5 aty)
%            Number of variables   :  208 ( 153   !;  55   ?; 208   :)

% Comments : 
%------------------------------------------------------------------------------
tff(type_def_5,type,
    uni: $tType ).

tff(type_def_6,type,
    ty: $tType ).

tff(type_def_7,type,
    bool1: $tType ).

tff(type_def_8,type,
    tuple02: $tType ).

tff(type_def_9,type,
    list_int: $tType ).

tff(func_def_0,type,
    witness1: ty > uni ).

tff(func_def_1,type,
    int: ty ).

tff(func_def_2,type,
    real: ty ).

tff(func_def_3,type,
    bool: ty ).

tff(func_def_4,type,
    true1: bool1 ).

tff(func_def_5,type,
    false1: bool1 ).

tff(func_def_6,type,
    match_bool1: ( ty * bool1 * uni * uni ) > uni ).

tff(func_def_7,type,
    tuple0: ty ).

tff(func_def_8,type,
    tuple03: tuple02 ).

tff(func_def_9,type,
    qtmark: ty ).

tff(func_def_12,type,
    list: ty > ty ).

tff(func_def_13,type,
    nil: ty > uni ).

tff(func_def_14,type,
    cons: ( ty * uni * uni ) > uni ).

tff(func_def_15,type,
    match_list1: ( ty * ty * uni * uni * uni ) > uni ).

tff(func_def_16,type,
    cons_proj_11: ( ty * uni ) > uni ).

tff(func_def_17,type,
    cons_proj_21: ( ty * uni ) > uni ).

tff(func_def_18,type,
    t2tb: list_int > uni ).

tff(func_def_19,type,
    tb2t: uni > list_int ).

tff(func_def_20,type,
    t2tb1: $int > uni ).

tff(func_def_21,type,
    tb2t1: uni > $int ).

tff(func_def_22,type,
    infix_plpl: ( ty * uni * uni ) > uni ).

tff(func_def_23,type,
    length1: ( ty * uni ) > $int ).

tff(func_def_27,type,
    sK0: ( uni * uni * ty ) > uni ).

tff(func_def_28,type,
    sK1: ( uni * uni * ty ) > uni ).

tff(func_def_29,type,
    sK2: list_int ).

tff(func_def_30,type,
    sK3: $int ).

tff(func_def_31,type,
    sK4: list_int ).

tff(func_def_32,type,
    sK5: $int ).

tff(func_def_33,type,
    sK6: list_int ).

tff(func_def_34,type,
    sK7: $int ).

tff(func_def_35,type,
    sK8: bool1 ).

tff(func_def_36,type,
    sK9: ( list_int * list_int ) > $int ).

tff(func_def_37,type,
    sK10: ( list_int * list_int ) > $int ).

tff(func_def_38,type,
    sK11: ( $int * list_int ) > $int ).

tff(func_def_39,type,
    sK12: list_int > $int ).

tff(func_def_40,type,
    sK13: list_int > list_int ).

tff(func_def_41,type,
    sK14: list_int > $int ).

tff(func_def_42,type,
    sK15: list_int > $int ).

tff(pred_def_1,type,
    sort1: ( ty * uni ) > $o ).

tff(pred_def_3,type,
    mem: ( ty * uni * uni ) > $o ).

tff(pred_def_4,type,
    sorted1: list_int > $o ).

tff(f1326,plain,
    $false,
    inference(avatar_sat_refutation,[],[f367,f380,f386,f400,f505,f516,f548,f552,f592,f609,f628,f772,f878,f1110,f1281,f1288,f1319,f1325]) ).

tff(f1325,plain,
    ( spl16_2
    | ~ spl16_1
    | spl16_3
    | ~ spl16_5 ),
    inference(avatar_split_clause,[],[f1324,f384,f365,f359,f362]) ).

tff(f362,plain,
    ( spl16_2
  <=> $less(sK5,sK3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl16_2])]) ).

tff(f359,plain,
    ( spl16_1
  <=> mem(int,t2tb1(sK3),t2tb(sK2)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl16_1])]) ).

tff(f365,plain,
    ( spl16_3
  <=> ( sK5 = sK3 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl16_3])]) ).

tff(f384,plain,
    ( spl16_5
  <=> ( tb2t(cons(int,t2tb1(sK5),t2tb(sK4))) = sK2 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl16_5])]) ).

tff(f1324,plain,
    ( $less(sK5,sK3)
    | ~ spl16_1
    | spl16_3
    | ~ spl16_5 ),
    inference(subsumption_resolution,[],[f913,f379]) ).

tff(f379,plain,
    ( ( sK5 != sK3 )
    | spl16_3 ),
    inference(avatar_component_clause,[],[f365]) ).

tff(f913,plain,
    ( ( sK5 = sK3 )
    | $less(sK5,sK3)
    | ~ spl16_1
    | ~ spl16_5 ),
    inference(resolution,[],[f910,f59]) ).

tff(f59,plain,
    ! [X0: $int,X1: $int] :
      ( $less(X1,X0)
      | ( X0 = X1 )
      | $less(X0,X1) ),
    introduced(theory_axiom_149,[]) ).

tff(f910,plain,
    ( ~ $less(sK3,sK5)
    | ~ spl16_1
    | ~ spl16_5 ),
    inference(resolution,[],[f360,f583]) ).

tff(f583,plain,
    ( ! [X0: $int] :
        ( ~ mem(int,t2tb1(X0),t2tb(sK2))
        | ~ $less(X0,sK5) )
    | ~ spl16_5 ),
    inference(subsumption_resolution,[],[f582,f273]) ).

tff(f273,plain,
    sorted1(sK2),
    inference(cnf_transformation,[],[f142]) ).

tff(f142,plain,
    ( sorted1(sK2)
    & ( ( mem(int,t2tb1(sK3),t2tb(sK2))
        & ( tb2t(nil(int)) = sK2 ) )
      | ( ( tb2t(cons(int,t2tb1(sK5),t2tb(sK4))) = sK2 )
        & ( ( ~ mem(int,t2tb1(sK3),t2tb(sK2))
            & ( sK5 = sK3 ) )
          | ( ( sK5 != sK3 )
            & ( ( $less(sK5,sK3)
                & ( ( tb2t(nil(int)) = sK2 )
                  | ~ sorted1(sK4)
                  | ( ( sK4 != sK6 )
                    & ( sK2 = tb2t(cons(int,t2tb1(sK7),t2tb(sK6))) ) )
                  | ( ( ( true1 != sK8 )
                      | ~ mem(int,t2tb1(sK3),t2tb(sK2)) )
                    & ( ( true1 = sK8 )
                      | mem(int,t2tb1(sK3),t2tb(sK2)) )
                    & ( mem(int,t2tb1(sK3),t2tb(sK4))
                      | ( true1 != sK8 ) )
                    & ( ( true1 = sK8 )
                      | ~ mem(int,t2tb1(sK3),t2tb(sK4)) ) ) ) )
              | ( mem(int,t2tb1(sK3),t2tb(sK2))
                & ~ $less(sK5,sK3) ) ) ) ) ) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK2,sK3,sK4,sK5,sK6,sK7,sK8])],[f137,f141,f140,f139,f138]) ).

tff(f138,plain,
    ( ? [X0: list_int,X1: $int] :
        ( sorted1(X0)
        & ( ( mem(int,t2tb1(X1),t2tb(X0))
            & ( tb2t(nil(int)) = X0 ) )
          | ? [X2: list_int,X3: $int] :
              ( ( tb2t(cons(int,t2tb1(X3),t2tb(X2))) = X0 )
              & ( ( ~ mem(int,t2tb1(X1),t2tb(X0))
                  & ( X1 = X3 ) )
                | ( ( X1 != X3 )
                  & ( ( $less(X3,X1)
                      & ( ( tb2t(nil(int)) = X0 )
                        | ~ sorted1(X2)
                        | ? [X4: list_int,X5: $int] :
                            ( ( X2 != X4 )
                            & ( tb2t(cons(int,t2tb1(X5),t2tb(X4))) = X0 ) )
                        | ? [X6: bool1] :
                            ( ( ( true1 != X6 )
                              | ~ mem(int,t2tb1(X1),t2tb(X0)) )
                            & ( ( true1 = X6 )
                              | mem(int,t2tb1(X1),t2tb(X0)) )
                            & ( mem(int,t2tb1(X1),t2tb(X2))
                              | ( true1 != X6 ) )
                            & ( ( true1 = X6 )
                              | ~ mem(int,t2tb1(X1),t2tb(X2)) ) ) ) )
                    | ( mem(int,t2tb1(X1),t2tb(X0))
                      & ~ $less(X3,X1) ) ) ) ) ) ) )
   => ( sorted1(sK2)
      & ( ( mem(int,t2tb1(sK3),t2tb(sK2))
          & ( tb2t(nil(int)) = sK2 ) )
        | ? [X3: $int,X2: list_int] :
            ( ( tb2t(cons(int,t2tb1(X3),t2tb(X2))) = sK2 )
            & ( ( ~ mem(int,t2tb1(sK3),t2tb(sK2))
                & ( sK3 = X3 ) )
              | ( ( sK3 != X3 )
                & ( ( $less(X3,sK3)
                    & ( ( tb2t(nil(int)) = sK2 )
                      | ~ sorted1(X2)
                      | ? [X5: $int,X4: list_int] :
                          ( ( X2 != X4 )
                          & ( tb2t(cons(int,t2tb1(X5),t2tb(X4))) = sK2 ) )
                      | ? [X6: bool1] :
                          ( ( ( true1 != X6 )
                            | ~ mem(int,t2tb1(sK3),t2tb(sK2)) )
                          & ( ( true1 = X6 )
                            | mem(int,t2tb1(sK3),t2tb(sK2)) )
                          & ( mem(int,t2tb1(sK3),t2tb(X2))
                            | ( true1 != X6 ) )
                          & ( ( true1 = X6 )
                            | ~ mem(int,t2tb1(sK3),t2tb(X2)) ) ) ) )
                  | ( mem(int,t2tb1(sK3),t2tb(sK2))
                    & ~ $less(X3,sK3) ) ) ) ) ) ) ) ),
    introduced(choice_axiom,[]) ).

tff(f139,plain,
    ( ? [X3: $int,X2: list_int] :
        ( ( tb2t(cons(int,t2tb1(X3),t2tb(X2))) = sK2 )
        & ( ( ~ mem(int,t2tb1(sK3),t2tb(sK2))
            & ( sK3 = X3 ) )
          | ( ( sK3 != X3 )
            & ( ( $less(X3,sK3)
                & ( ( tb2t(nil(int)) = sK2 )
                  | ~ sorted1(X2)
                  | ? [X5: $int,X4: list_int] :
                      ( ( X2 != X4 )
                      & ( tb2t(cons(int,t2tb1(X5),t2tb(X4))) = sK2 ) )
                  | ? [X6: bool1] :
                      ( ( ( true1 != X6 )
                        | ~ mem(int,t2tb1(sK3),t2tb(sK2)) )
                      & ( ( true1 = X6 )
                        | mem(int,t2tb1(sK3),t2tb(sK2)) )
                      & ( mem(int,t2tb1(sK3),t2tb(X2))
                        | ( true1 != X6 ) )
                      & ( ( true1 = X6 )
                        | ~ mem(int,t2tb1(sK3),t2tb(X2)) ) ) ) )
              | ( mem(int,t2tb1(sK3),t2tb(sK2))
                & ~ $less(X3,sK3) ) ) ) ) )
   => ( ( tb2t(cons(int,t2tb1(sK5),t2tb(sK4))) = sK2 )
      & ( ( ~ mem(int,t2tb1(sK3),t2tb(sK2))
          & ( sK5 = sK3 ) )
        | ( ( sK5 != sK3 )
          & ( ( $less(sK5,sK3)
              & ( ( tb2t(nil(int)) = sK2 )
                | ~ sorted1(sK4)
                | ? [X5: $int,X4: list_int] :
                    ( ( sK4 != X4 )
                    & ( tb2t(cons(int,t2tb1(X5),t2tb(X4))) = sK2 ) )
                | ? [X6: bool1] :
                    ( ( ( true1 != X6 )
                      | ~ mem(int,t2tb1(sK3),t2tb(sK2)) )
                    & ( ( true1 = X6 )
                      | mem(int,t2tb1(sK3),t2tb(sK2)) )
                    & ( mem(int,t2tb1(sK3),t2tb(sK4))
                      | ( true1 != X6 ) )
                    & ( ( true1 = X6 )
                      | ~ mem(int,t2tb1(sK3),t2tb(sK4)) ) ) ) )
            | ( mem(int,t2tb1(sK3),t2tb(sK2))
              & ~ $less(sK5,sK3) ) ) ) ) ) ),
    introduced(choice_axiom,[]) ).

tff(f140,plain,
    ( ? [X5: $int,X4: list_int] :
        ( ( sK4 != X4 )
        & ( tb2t(cons(int,t2tb1(X5),t2tb(X4))) = sK2 ) )
   => ( ( sK4 != sK6 )
      & ( sK2 = tb2t(cons(int,t2tb1(sK7),t2tb(sK6))) ) ) ),
    introduced(choice_axiom,[]) ).

tff(f141,plain,
    ( ? [X6: bool1] :
        ( ( ( true1 != X6 )
          | ~ mem(int,t2tb1(sK3),t2tb(sK2)) )
        & ( ( true1 = X6 )
          | mem(int,t2tb1(sK3),t2tb(sK2)) )
        & ( mem(int,t2tb1(sK3),t2tb(sK4))
          | ( true1 != X6 ) )
        & ( ( true1 = X6 )
          | ~ mem(int,t2tb1(sK3),t2tb(sK4)) ) )
   => ( ( ( true1 != sK8 )
        | ~ mem(int,t2tb1(sK3),t2tb(sK2)) )
      & ( ( true1 = sK8 )
        | mem(int,t2tb1(sK3),t2tb(sK2)) )
      & ( mem(int,t2tb1(sK3),t2tb(sK4))
        | ( true1 != sK8 ) )
      & ( ( true1 = sK8 )
        | ~ mem(int,t2tb1(sK3),t2tb(sK4)) ) ) ),
    introduced(choice_axiom,[]) ).

tff(f137,plain,
    ? [X0: list_int,X1: $int] :
      ( sorted1(X0)
      & ( ( mem(int,t2tb1(X1),t2tb(X0))
          & ( tb2t(nil(int)) = X0 ) )
        | ? [X2: list_int,X3: $int] :
            ( ( tb2t(cons(int,t2tb1(X3),t2tb(X2))) = X0 )
            & ( ( ~ mem(int,t2tb1(X1),t2tb(X0))
                & ( X1 = X3 ) )
              | ( ( X1 != X3 )
                & ( ( $less(X3,X1)
                    & ( ( tb2t(nil(int)) = X0 )
                      | ~ sorted1(X2)
                      | ? [X4: list_int,X5: $int] :
                          ( ( X2 != X4 )
                          & ( tb2t(cons(int,t2tb1(X5),t2tb(X4))) = X0 ) )
                      | ? [X6: bool1] :
                          ( ( ( true1 != X6 )
                            | ~ mem(int,t2tb1(X1),t2tb(X0)) )
                          & ( ( true1 = X6 )
                            | mem(int,t2tb1(X1),t2tb(X0)) )
                          & ( mem(int,t2tb1(X1),t2tb(X2))
                            | ( true1 != X6 ) )
                          & ( ( true1 = X6 )
                            | ~ mem(int,t2tb1(X1),t2tb(X2)) ) ) ) )
                  | ( mem(int,t2tb1(X1),t2tb(X0))
                    & ~ $less(X3,X1) ) ) ) ) ) ) ),
    inference(rectify,[],[f136]) ).

tff(f136,plain,
    ? [X0: list_int,X1: $int] :
      ( sorted1(X0)
      & ( ( mem(int,t2tb1(X1),t2tb(X0))
          & ( tb2t(nil(int)) = X0 ) )
        | ? [X3: list_int,X2: $int] :
            ( ( tb2t(cons(int,t2tb1(X2),t2tb(X3))) = X0 )
            & ( ( ~ mem(int,t2tb1(X1),t2tb(X0))
                & ( X1 = X2 ) )
              | ( ( X1 != X2 )
                & ( ( $less(X2,X1)
                    & ( ( tb2t(nil(int)) = X0 )
                      | ~ sorted1(X3)
                      | ? [X6: list_int,X5: $int] :
                          ( ( X3 != X6 )
                          & ( tb2t(cons(int,t2tb1(X5),t2tb(X6))) = X0 ) )
                      | ? [X4: bool1] :
                          ( ( ( true1 != X4 )
                            | ~ mem(int,t2tb1(X1),t2tb(X0)) )
                          & ( ( true1 = X4 )
                            | mem(int,t2tb1(X1),t2tb(X0)) )
                          & ( mem(int,t2tb1(X1),t2tb(X3))
                            | ( true1 != X4 ) )
                          & ( ( true1 = X4 )
                            | ~ mem(int,t2tb1(X1),t2tb(X3)) ) ) ) )
                  | ( mem(int,t2tb1(X1),t2tb(X0))
                    & ~ $less(X2,X1) ) ) ) ) ) ) ),
    inference(flattening,[],[f135]) ).

tff(f135,plain,
    ? [X0: list_int,X1: $int] :
      ( sorted1(X0)
      & ( ( mem(int,t2tb1(X1),t2tb(X0))
          & ( tb2t(nil(int)) = X0 ) )
        | ? [X3: list_int,X2: $int] :
            ( ( tb2t(cons(int,t2tb1(X2),t2tb(X3))) = X0 )
            & ( ( ~ mem(int,t2tb1(X1),t2tb(X0))
                & ( X1 = X2 ) )
              | ( ( X1 != X2 )
                & ( ( $less(X2,X1)
                    & ( ( tb2t(nil(int)) = X0 )
                      | ~ sorted1(X3)
                      | ? [X6: list_int,X5: $int] :
                          ( ( X3 != X6 )
                          & ( tb2t(cons(int,t2tb1(X5),t2tb(X6))) = X0 ) )
                      | ? [X4: bool1] :
                          ( ( ( true1 != X4 )
                            | ~ mem(int,t2tb1(X1),t2tb(X0)) )
                          & ( ( true1 = X4 )
                            | mem(int,t2tb1(X1),t2tb(X0)) )
                          & ( mem(int,t2tb1(X1),t2tb(X3))
                            | ( true1 != X4 ) )
                          & ( ( true1 = X4 )
                            | ~ mem(int,t2tb1(X1),t2tb(X3)) ) ) ) )
                  | ( mem(int,t2tb1(X1),t2tb(X0))
                    & ~ $less(X2,X1) ) ) ) ) ) ) ),
    inference(nnf_transformation,[],[f113]) ).

tff(f113,plain,
    ? [X0: list_int,X1: $int] :
      ( sorted1(X0)
      & ( ( mem(int,t2tb1(X1),t2tb(X0))
          & ( tb2t(nil(int)) = X0 ) )
        | ? [X3: list_int,X2: $int] :
            ( ( tb2t(cons(int,t2tb1(X2),t2tb(X3))) = X0 )
            & ( ( ~ mem(int,t2tb1(X1),t2tb(X0))
                & ( X1 = X2 ) )
              | ( ( X1 != X2 )
                & ( ( $less(X2,X1)
                    & ( ( tb2t(nil(int)) = X0 )
                      | ~ sorted1(X3)
                      | ? [X6: list_int,X5: $int] :
                          ( ( X3 != X6 )
                          & ( tb2t(cons(int,t2tb1(X5),t2tb(X6))) = X0 ) )
                      | ? [X4: bool1] :
                          ( ( mem(int,t2tb1(X1),t2tb(X0))
                          <~> ( true1 = X4 ) )
                          & ( mem(int,t2tb1(X1),t2tb(X3))
                          <=> ( true1 = X4 ) ) ) ) )
                  | ( mem(int,t2tb1(X1),t2tb(X0))
                    & ~ $less(X2,X1) ) ) ) ) ) ) ),
    inference(ennf_transformation,[],[f106]) ).

tff(f106,plain,
    ~ ! [X1: $int,X0: list_int] :
        ( sorted1(X0)
       => ( ( ( tb2t(nil(int)) = X0 )
           => ~ mem(int,t2tb1(X1),t2tb(X0)) )
          & ! [X2: $int,X3: list_int] :
              ( ( tb2t(cons(int,t2tb1(X2),t2tb(X3))) = X0 )
             => ( ( ( X1 = X2 )
                 => mem(int,t2tb1(X1),t2tb(X0)) )
                & ( ( X1 != X2 )
                 => ( ( ~ $less(X2,X1)
                     => ~ mem(int,t2tb1(X1),t2tb(X0)) )
                    & ( $less(X2,X1)
                     => ( sorted1(X3)
                        & ! [X4: bool1] :
                            ( ( mem(int,t2tb1(X1),t2tb(X3))
                            <=> ( true1 = X4 ) )
                           => ( mem(int,t2tb1(X1),t2tb(X0))
                            <=> ( true1 = X4 ) ) )
                        & ( tb2t(nil(int)) != X0 )
                        & ! [X6: list_int,X5: $int] :
                            ( ( tb2t(cons(int,t2tb1(X5),t2tb(X6))) = X0 )
                           => ( X3 = X6 ) ) ) ) ) ) ) ) ) ),
    inference(rectify,[],[f45]) ).

tff(f45,negated_conjecture,
    ~ ! [X14: list_int,X1: $int] :
        ( sorted1(X14)
       => ( ! [X2: $int,X3: list_int] :
              ( ( tb2t(cons(int,t2tb1(X2),t2tb(X3))) = X14 )
             => ( ( ( X1 != X2 )
                 => ( ( ~ $less(X2,X1)
                     => ~ mem(int,t2tb1(X1),t2tb(X14)) )
                    & ( $less(X2,X1)
                     => ( ( tb2t(nil(int)) != X14 )
                        & ! [X20: bool1] :
                            ( ( ( true1 = X20 )
                            <=> mem(int,t2tb1(X1),t2tb(X3)) )
                           => ( ( true1 = X20 )
                            <=> mem(int,t2tb1(X1),t2tb(X14)) ) )
                        & sorted1(X3)
                        & ! [X18: $int,X19: list_int] :
                            ( ( tb2t(cons(int,t2tb1(X18),t2tb(X19))) = X14 )
                           => ( X3 = X19 ) ) ) ) ) )
                & ( ( X1 = X2 )
                 => mem(int,t2tb1(X1),t2tb(X14)) ) ) )
          & ( ( tb2t(nil(int)) = X14 )
           => ~ mem(int,t2tb1(X1),t2tb(X14)) ) ) ),
    inference(negated_conjecture,[],[f44]) ).

tff(f44,conjecture,
    ! [X14: list_int,X1: $int] :
      ( sorted1(X14)
     => ( ! [X2: $int,X3: list_int] :
            ( ( tb2t(cons(int,t2tb1(X2),t2tb(X3))) = X14 )
           => ( ( ( X1 != X2 )
               => ( ( ~ $less(X2,X1)
                   => ~ mem(int,t2tb1(X1),t2tb(X14)) )
                  & ( $less(X2,X1)
                   => ( ( tb2t(nil(int)) != X14 )
                      & ! [X20: bool1] :
                          ( ( ( true1 = X20 )
                          <=> mem(int,t2tb1(X1),t2tb(X3)) )
                         => ( ( true1 = X20 )
                          <=> mem(int,t2tb1(X1),t2tb(X14)) ) )
                      & sorted1(X3)
                      & ! [X18: $int,X19: list_int] :
                          ( ( tb2t(cons(int,t2tb1(X18),t2tb(X19))) = X14 )
                         => ( X3 = X19 ) ) ) ) ) )
              & ( ( X1 = X2 )
               => mem(int,t2tb1(X1),t2tb(X14)) ) ) )
        & ( ( tb2t(nil(int)) = X14 )
         => ~ mem(int,t2tb1(X1),t2tb(X14)) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',wP_parameter_find) ).

tff(f582,plain,
    ( ! [X0: $int] :
        ( ~ $less(X0,sK5)
        | ~ sorted1(sK2)
        | ~ mem(int,t2tb1(X0),t2tb(sK2)) )
    | ~ spl16_5 ),
    inference(forward_demodulation,[],[f559,f291]) ).

tff(f291,plain,
    ! [X0: list_int] : ( tb2t(t2tb(X0)) = X0 ),
    inference(cnf_transformation,[],[f74]) ).

tff(f74,plain,
    ! [X0: list_int] : ( tb2t(t2tb(X0)) = X0 ),
    inference(rectify,[],[f22]) ).

tff(f22,axiom,
    ! [X12: list_int] : ( tb2t(t2tb(X12)) = X12 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',bridgeL) ).

tff(f559,plain,
    ( ! [X0: $int] :
        ( ~ sorted1(tb2t(t2tb(sK2)))
        | ~ $less(X0,sK5)
        | ~ mem(int,t2tb1(X0),t2tb(sK2)) )
    | ~ spl16_5 ),
    inference(superposition,[],[f297,f532]) ).

tff(f532,plain,
    ( ( cons(int,t2tb1(sK5),t2tb(sK4)) = t2tb(sK2) )
    | ~ spl16_5 ),
    inference(superposition,[],[f181,f385]) ).

tff(f385,plain,
    ( ( tb2t(cons(int,t2tb1(sK5),t2tb(sK4))) = sK2 )
    | ~ spl16_5 ),
    inference(avatar_component_clause,[],[f384]) ).

tff(f181,plain,
    ! [X0: uni] : ( t2tb(tb2t(X0)) = X0 ),
    inference(cnf_transformation,[],[f79]) ).

tff(f79,plain,
    ! [X0: uni] : ( t2tb(tb2t(X0)) = X0 ),
    inference(rectify,[],[f23]) ).

tff(f23,axiom,
    ! [X13: uni] : ( t2tb(tb2t(X13)) = X13 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',bridgeR) ).

tff(f297,plain,
    ! [X2: $int,X0: $int,X1: list_int] :
      ( ~ mem(int,t2tb1(X0),cons(int,t2tb1(X2),t2tb(X1)))
      | ~ $less(X0,X2)
      | ~ sorted1(tb2t(cons(int,t2tb1(X2),t2tb(X1)))) ),
    inference(cnf_transformation,[],[f164]) ).

tff(f164,plain,
    ! [X0: $int,X1: list_int,X2: $int] :
      ( ~ mem(int,t2tb1(X0),cons(int,t2tb1(X2),t2tb(X1)))
      | ~ $less(X0,X2)
      | ~ sorted1(tb2t(cons(int,t2tb1(X2),t2tb(X1)))) ),
    inference(rectify,[],[f121]) ).

tff(f121,plain,
    ! [X1: $int,X0: list_int,X2: $int] :
      ( ~ mem(int,t2tb1(X1),cons(int,t2tb1(X2),t2tb(X0)))
      | ~ $less(X1,X2)
      | ~ sorted1(tb2t(cons(int,t2tb1(X2),t2tb(X0)))) ),
    inference(flattening,[],[f120]) ).

tff(f120,plain,
    ! [X2: $int,X1: $int,X0: list_int] :
      ( ~ mem(int,t2tb1(X1),cons(int,t2tb1(X2),t2tb(X0)))
      | ~ sorted1(tb2t(cons(int,t2tb1(X2),t2tb(X0))))
      | ~ $less(X1,X2) ),
    inference(ennf_transformation,[],[f97]) ).

tff(f97,plain,
    ! [X2: $int,X1: $int,X0: list_int] :
      ( $less(X1,X2)
     => ( sorted1(tb2t(cons(int,t2tb1(X2),t2tb(X0))))
       => ~ mem(int,t2tb1(X1),cons(int,t2tb1(X2),t2tb(X0))) ) ),
    inference(rectify,[],[f43]) ).

tff(f43,axiom,
    ! [X14: list_int,X1: $int,X7: $int] :
      ( $less(X1,X7)
     => ( sorted1(tb2t(cons(int,t2tb1(X7),t2tb(X14))))
       => ~ mem(int,t2tb1(X1),cons(int,t2tb1(X7),t2tb(X14))) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sorted_not_mem) ).

tff(f360,plain,
    ( mem(int,t2tb1(sK3),t2tb(sK2))
    | ~ spl16_1 ),
    inference(avatar_component_clause,[],[f359]) ).

tff(f1319,plain,
    ( spl16_4
    | spl16_10
    | ~ spl16_2
    | spl16_3
    | ~ spl16_5
    | spl16_8
    | ~ spl16_9 ),
    inference(avatar_split_clause,[],[f1290,f550,f544,f384,f365,f362,f590,f377]) ).

tff(f377,plain,
    ( spl16_4
  <=> ( tb2t(nil(int)) = sK2 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl16_4])]) ).

tff(f590,plain,
    ( spl16_10
  <=> ( sK2 = tb2t(cons(int,t2tb1(sK7),t2tb(sK6))) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl16_10])]) ).

tff(f544,plain,
    ( spl16_8
  <=> ( true1 = sK8 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl16_8])]) ).

tff(f550,plain,
    ( spl16_9
  <=> mem(int,t2tb1(sK3),t2tb(sK4)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl16_9])]) ).

tff(f1290,plain,
    ( ( sK2 = tb2t(cons(int,t2tb1(sK7),t2tb(sK6))) )
    | ( tb2t(nil(int)) = sK2 )
    | ~ spl16_2
    | spl16_3
    | ~ spl16_5
    | spl16_8
    | ~ spl16_9 ),
    inference(subsumption_resolution,[],[f1289,f584]) ).

tff(f584,plain,
    ( ( true1 != sK8 )
    | spl16_8 ),
    inference(avatar_component_clause,[],[f544]) ).

tff(f1289,plain,
    ( ( sK2 = tb2t(cons(int,t2tb1(sK7),t2tb(sK6))) )
    | ( true1 = sK8 )
    | ( tb2t(nil(int)) = sK2 )
    | ~ spl16_2
    | spl16_3
    | ~ spl16_5
    | ~ spl16_9 ),
    inference(subsumption_resolution,[],[f1117,f551]) ).

tff(f551,plain,
    ( mem(int,t2tb1(sK3),t2tb(sK4))
    | ~ spl16_9 ),
    inference(avatar_component_clause,[],[f550]) ).

tff(f1117,plain,
    ( ~ mem(int,t2tb1(sK3),t2tb(sK4))
    | ( tb2t(nil(int)) = sK2 )
    | ( sK2 = tb2t(cons(int,t2tb1(sK7),t2tb(sK6))) )
    | ( true1 = sK8 )
    | ~ spl16_2
    | spl16_3
    | ~ spl16_5 ),
    inference(subsumption_resolution,[],[f1116,f535]) ).

tff(f535,plain,
    ( sorted1(sK4)
    | ~ spl16_5 ),
    inference(subsumption_resolution,[],[f529,f273]) ).

tff(f529,plain,
    ( sorted1(sK4)
    | ~ sorted1(sK2)
    | ~ spl16_5 ),
    inference(superposition,[],[f285,f385]) ).

tff(f285,plain,
    ! [X0: $int,X1: list_int] :
      ( ~ sorted1(tb2t(cons(int,t2tb1(X0),t2tb(X1))))
      | sorted1(X1) ),
    inference(cnf_transformation,[],[f153]) ).

tff(f153,plain,
    ! [X0: $int,X1: list_int] :
      ( ( ( sorted1(X1)
          & ! [X2: $int] :
              ( ~ mem(int,t2tb1(X2),t2tb(X1))
              | ~ $less(X2,X0) ) )
        | ~ sorted1(tb2t(cons(int,t2tb1(X0),t2tb(X1)))) )
      & ( sorted1(tb2t(cons(int,t2tb1(X0),t2tb(X1))))
        | ~ sorted1(X1)
        | ( mem(int,t2tb1(sK11(X0,X1)),t2tb(X1))
          & $less(sK11(X0,X1),X0) ) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK11])],[f151,f152]) ).

tff(f152,plain,
    ! [X0: $int,X1: list_int] :
      ( ? [X3: $int] :
          ( mem(int,t2tb1(X3),t2tb(X1))
          & $less(X3,X0) )
     => ( mem(int,t2tb1(sK11(X0,X1)),t2tb(X1))
        & $less(sK11(X0,X1),X0) ) ),
    introduced(choice_axiom,[]) ).

tff(f151,plain,
    ! [X0: $int,X1: list_int] :
      ( ( ( sorted1(X1)
          & ! [X2: $int] :
              ( ~ mem(int,t2tb1(X2),t2tb(X1))
              | ~ $less(X2,X0) ) )
        | ~ sorted1(tb2t(cons(int,t2tb1(X0),t2tb(X1)))) )
      & ( sorted1(tb2t(cons(int,t2tb1(X0),t2tb(X1))))
        | ~ sorted1(X1)
        | ? [X3: $int] :
            ( mem(int,t2tb1(X3),t2tb(X1))
            & $less(X3,X0) ) ) ),
    inference(rectify,[],[f150]) ).

tff(f150,plain,
    ! [X0: $int,X1: list_int] :
      ( ( ( sorted1(X1)
          & ! [X2: $int] :
              ( ~ mem(int,t2tb1(X2),t2tb(X1))
              | ~ $less(X2,X0) ) )
        | ~ sorted1(tb2t(cons(int,t2tb1(X0),t2tb(X1)))) )
      & ( sorted1(tb2t(cons(int,t2tb1(X0),t2tb(X1))))
        | ~ sorted1(X1)
        | ? [X2: $int] :
            ( mem(int,t2tb1(X2),t2tb(X1))
            & $less(X2,X0) ) ) ),
    inference(flattening,[],[f149]) ).

tff(f149,plain,
    ! [X0: $int,X1: list_int] :
      ( ( ( sorted1(X1)
          & ! [X2: $int] :
              ( ~ mem(int,t2tb1(X2),t2tb(X1))
              | ~ $less(X2,X0) ) )
        | ~ sorted1(tb2t(cons(int,t2tb1(X0),t2tb(X1)))) )
      & ( sorted1(tb2t(cons(int,t2tb1(X0),t2tb(X1))))
        | ~ sorted1(X1)
        | ? [X2: $int] :
            ( mem(int,t2tb1(X2),t2tb(X1))
            & $less(X2,X0) ) ) ),
    inference(nnf_transformation,[],[f117]) ).

tff(f117,plain,
    ! [X0: $int,X1: list_int] :
      ( ( sorted1(X1)
        & ! [X2: $int] :
            ( ~ mem(int,t2tb1(X2),t2tb(X1))
            | ~ $less(X2,X0) ) )
    <=> sorted1(tb2t(cons(int,t2tb1(X0),t2tb(X1)))) ),
    inference(ennf_transformation,[],[f71]) ).

tff(f71,plain,
    ! [X1: list_int,X0: $int] :
      ( sorted1(tb2t(cons(int,t2tb1(X0),t2tb(X1))))
    <=> ( ! [X2: $int] :
            ( mem(int,t2tb1(X2),t2tb(X1))
           => ~ $less(X2,X0) )
        & sorted1(X1) ) ),
    inference(rectify,[],[f46]) ).

tff(f46,plain,
    ! [X1: $int,X14: list_int] :
      ( ( sorted1(X14)
        & ! [X7: $int] :
            ( mem(int,t2tb1(X7),t2tb(X14))
           => ~ $less(X7,X1) ) )
    <=> sorted1(tb2t(cons(int,t2tb1(X1),t2tb(X14)))) ),
    inference(theory_normalization,[],[f31]) ).

tff(f31,axiom,
    ! [X1: $int,X14: list_int] :
      ( ( sorted1(X14)
        & ! [X7: $int] :
            ( mem(int,t2tb1(X7),t2tb(X14))
           => $lesseq(X1,X7) ) )
    <=> sorted1(tb2t(cons(int,t2tb1(X1),t2tb(X14)))) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sorted_mem) ).

tff(f1116,plain,
    ( ( sK2 = tb2t(cons(int,t2tb1(sK7),t2tb(sK6))) )
    | ~ sorted1(sK4)
    | ( tb2t(nil(int)) = sK2 )
    | ( true1 = sK8 )
    | ~ mem(int,t2tb1(sK3),t2tb(sK4))
    | ~ spl16_2
    | spl16_3 ),
    inference(subsumption_resolution,[],[f518,f379]) ).

tff(f518,plain,
    ( ( sK5 = sK3 )
    | ~ mem(int,t2tb1(sK3),t2tb(sK4))
    | ~ sorted1(sK4)
    | ( sK2 = tb2t(cons(int,t2tb1(sK7),t2tb(sK6))) )
    | ( true1 = sK8 )
    | ( tb2t(nil(int)) = sK2 )
    | ~ spl16_2 ),
    inference(subsumption_resolution,[],[f345,f363]) ).

tff(f363,plain,
    ( $less(sK5,sK3)
    | ~ spl16_2 ),
    inference(avatar_component_clause,[],[f362]) ).

tff(f345,plain,
    ( ~ $less(sK5,sK3)
    | ( sK5 = sK3 )
    | ( sK2 = tb2t(cons(int,t2tb1(sK7),t2tb(sK6))) )
    | ( tb2t(nil(int)) = sK2 )
    | ~ mem(int,t2tb1(sK3),t2tb(sK4))
    | ( true1 = sK8 )
    | ~ sorted1(sK4) ),
    inference(duplicate_literal_removal,[],[f195]) ).

tff(f195,plain,
    ( ( sK5 = sK3 )
    | ( true1 = sK8 )
    | ~ mem(int,t2tb1(sK3),t2tb(sK4))
    | ( tb2t(nil(int)) = sK2 )
    | ~ $less(sK5,sK3)
    | ~ sorted1(sK4)
    | ( sK2 = tb2t(cons(int,t2tb1(sK7),t2tb(sK6))) )
    | ( tb2t(nil(int)) = sK2 ) ),
    inference(cnf_transformation,[],[f142]) ).

tff(f1288,plain,
    ( spl16_10
    | spl16_4
    | ~ spl16_1
    | ~ spl16_2
    | ~ spl16_5
    | ~ spl16_8 ),
    inference(avatar_split_clause,[],[f1211,f544,f384,f362,f359,f377,f590]) ).

tff(f1211,plain,
    ( ( tb2t(nil(int)) = sK2 )
    | ( sK2 = tb2t(cons(int,t2tb1(sK7),t2tb(sK6))) )
    | ~ spl16_1
    | ~ spl16_2
    | ~ spl16_5
    | ~ spl16_8 ),
    inference(subsumption_resolution,[],[f1122,f545]) ).

tff(f545,plain,
    ( ( true1 = sK8 )
    | ~ spl16_8 ),
    inference(avatar_component_clause,[],[f544]) ).

tff(f1122,plain,
    ( ( true1 != sK8 )
    | ( tb2t(nil(int)) = sK2 )
    | ( sK2 = tb2t(cons(int,t2tb1(sK7),t2tb(sK6))) )
    | ~ spl16_1
    | ~ spl16_2
    | ~ spl16_5 ),
    inference(subsumption_resolution,[],[f1121,f363]) ).

tff(f1121,plain,
    ( ~ $less(sK5,sK3)
    | ( true1 != sK8 )
    | ( tb2t(nil(int)) = sK2 )
    | ( sK2 = tb2t(cons(int,t2tb1(sK7),t2tb(sK6))) )
    | ~ spl16_1
    | ~ spl16_5 ),
    inference(subsumption_resolution,[],[f1120,f360]) ).

tff(f1120,plain,
    ( ( sK2 = tb2t(cons(int,t2tb1(sK7),t2tb(sK6))) )
    | ~ mem(int,t2tb1(sK3),t2tb(sK2))
    | ~ $less(sK5,sK3)
    | ( true1 != sK8 )
    | ( tb2t(nil(int)) = sK2 )
    | ~ spl16_5 ),
    inference(subsumption_resolution,[],[f356,f535]) ).

tff(f356,plain,
    ( ( tb2t(nil(int)) = sK2 )
    | ~ sorted1(sK4)
    | ~ $less(sK5,sK3)
    | ( sK2 = tb2t(cons(int,t2tb1(sK7),t2tb(sK6))) )
    | ( true1 != sK8 )
    | ~ mem(int,t2tb1(sK3),t2tb(sK2)) ),
    inference(subsumption_resolution,[],[f329,f232]) ).

tff(f232,plain,
    ( ( sK5 != sK3 )
    | ( tb2t(nil(int)) = sK2 )
    | ~ mem(int,t2tb1(sK3),t2tb(sK2)) ),
    inference(cnf_transformation,[],[f142]) ).

tff(f329,plain,
    ( ~ mem(int,t2tb1(sK3),t2tb(sK2))
    | ~ $less(sK5,sK3)
    | ( sK2 = tb2t(cons(int,t2tb1(sK7),t2tb(sK6))) )
    | ( sK5 = sK3 )
    | ( tb2t(nil(int)) = sK2 )
    | ~ sorted1(sK4)
    | ( true1 != sK8 ) ),
    inference(duplicate_literal_removal,[],[f201]) ).

tff(f201,plain,
    ( ~ sorted1(sK4)
    | ~ $less(sK5,sK3)
    | ( tb2t(nil(int)) = sK2 )
    | ~ mem(int,t2tb1(sK3),t2tb(sK2))
    | ( sK5 = sK3 )
    | ( tb2t(nil(int)) = sK2 )
    | ( sK2 = tb2t(cons(int,t2tb1(sK7),t2tb(sK6))) )
    | ( true1 != sK8 ) ),
    inference(cnf_transformation,[],[f142]) ).

tff(f1281,plain,
    ( ~ spl16_7
    | spl16_4
    | ~ spl16_1
    | ~ spl16_2
    | ~ spl16_5
    | ~ spl16_9 ),
    inference(avatar_split_clause,[],[f1210,f550,f384,f362,f359,f377,f541]) ).

tff(f541,plain,
    ( spl16_7
  <=> ( sK4 = sK6 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl16_7])]) ).

tff(f1210,plain,
    ( ( tb2t(nil(int)) = sK2 )
    | ( sK4 != sK6 )
    | ~ spl16_1
    | ~ spl16_2
    | ~ spl16_5
    | ~ spl16_9 ),
    inference(subsumption_resolution,[],[f1209,f535]) ).

tff(f1209,plain,
    ( ( tb2t(nil(int)) = sK2 )
    | ~ sorted1(sK4)
    | ( sK4 != sK6 )
    | ~ spl16_1
    | ~ spl16_2
    | ~ spl16_9 ),
    inference(subsumption_resolution,[],[f1150,f551]) ).

tff(f1150,plain,
    ( ~ mem(int,t2tb1(sK3),t2tb(sK4))
    | ( sK4 != sK6 )
    | ~ sorted1(sK4)
    | ( tb2t(nil(int)) = sK2 )
    | ~ spl16_1
    | ~ spl16_2 ),
    inference(subsumption_resolution,[],[f1149,f363]) ).

tff(f1149,plain,
    ( ( tb2t(nil(int)) = sK2 )
    | ~ $less(sK5,sK3)
    | ( sK4 != sK6 )
    | ~ sorted1(sK4)
    | ~ mem(int,t2tb1(sK3),t2tb(sK4))
    | ~ spl16_1 ),
    inference(subsumption_resolution,[],[f357,f360]) ).

tff(f357,plain,
    ( ~ mem(int,t2tb1(sK3),t2tb(sK2))
    | ~ sorted1(sK4)
    | ( sK4 != sK6 )
    | ~ $less(sK5,sK3)
    | ( tb2t(nil(int)) = sK2 )
    | ~ mem(int,t2tb1(sK3),t2tb(sK4)) ),
    inference(subsumption_resolution,[],[f324,f337]) ).

tff(f337,plain,
    ( ( true1 != sK8 )
    | ~ sorted1(sK4)
    | ~ mem(int,t2tb1(sK3),t2tb(sK2))
    | ( tb2t(nil(int)) = sK2 )
    | ( sK4 != sK6 )
    | ~ $less(sK5,sK3) ),
    inference(duplicate_literal_removal,[],[f228]) ).

tff(f228,plain,
    ( ~ mem(int,t2tb1(sK3),t2tb(sK2))
    | ( tb2t(nil(int)) = sK2 )
    | ~ $less(sK5,sK3)
    | ~ sorted1(sK4)
    | ( sK4 != sK6 )
    | ( true1 != sK8 )
    | ~ mem(int,t2tb1(sK3),t2tb(sK2))
    | ( tb2t(nil(int)) = sK2 ) ),
    inference(cnf_transformation,[],[f142]) ).

tff(f324,plain,
    ( ~ sorted1(sK4)
    | ~ mem(int,t2tb1(sK3),t2tb(sK2))
    | ( tb2t(nil(int)) = sK2 )
    | ( true1 = sK8 )
    | ~ $less(sK5,sK3)
    | ~ mem(int,t2tb1(sK3),t2tb(sK4))
    | ( sK4 != sK6 ) ),
    inference(duplicate_literal_removal,[],[f222]) ).

tff(f222,plain,
    ( ( tb2t(nil(int)) = sK2 )
    | ~ sorted1(sK4)
    | ~ mem(int,t2tb1(sK3),t2tb(sK2))
    | ~ $less(sK5,sK3)
    | ( sK4 != sK6 )
    | ~ mem(int,t2tb1(sK3),t2tb(sK4))
    | ( true1 = sK8 )
    | ( tb2t(nil(int)) = sK2 ) ),
    inference(cnf_transformation,[],[f142]) ).

tff(f1110,plain,
    ( ~ spl16_1
    | spl16_3
    | ~ spl16_5
    | spl16_9 ),
    inference(avatar_contradiction_clause,[],[f1109]) ).

tff(f1109,plain,
    ( $false
    | ~ spl16_1
    | spl16_3
    | ~ spl16_5
    | spl16_9 ),
    inference(subsumption_resolution,[],[f1108,f379]) ).

tff(f1108,plain,
    ( ( sK5 = sK3 )
    | ~ spl16_1
    | ~ spl16_5
    | spl16_9 ),
    inference(forward_demodulation,[],[f1091,f184]) ).

tff(f184,plain,
    ! [X0: $int] : ( tb2t1(t2tb1(X0)) = X0 ),
    inference(cnf_transformation,[],[f102]) ).

tff(f102,plain,
    ! [X0: $int] : ( tb2t1(t2tb1(X0)) = X0 ),
    inference(rectify,[],[f26]) ).

tff(f26,axiom,
    ! [X12: $int] : ( tb2t1(t2tb1(X12)) = X12 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',bridgeL1) ).

tff(f1091,plain,
    ( ( sK5 = tb2t1(t2tb1(sK3)) )
    | ~ spl16_1
    | ~ spl16_5
    | spl16_9 ),
    inference(superposition,[],[f184,f1073]) ).

tff(f1073,plain,
    ( ( t2tb1(sK3) = t2tb1(sK5) )
    | ~ spl16_1
    | ~ spl16_5
    | spl16_9 ),
    inference(subsumption_resolution,[],[f1072,f586]) ).

tff(f586,plain,
    ( ~ mem(int,t2tb1(sK3),t2tb(sK4))
    | spl16_9 ),
    inference(avatar_component_clause,[],[f550]) ).

tff(f1072,plain,
    ( mem(int,t2tb1(sK3),t2tb(sK4))
    | ( t2tb1(sK3) = t2tb1(sK5) )
    | ~ spl16_1
    | ~ spl16_5 ),
    inference(subsumption_resolution,[],[f1071,f314]) ).

tff(f314,plain,
    ! [X0: $int] : sort1(int,t2tb1(X0)),
    inference(cnf_transformation,[],[f98]) ).

tff(f98,plain,
    ! [X0: $int] : sort1(int,t2tb1(X0)),
    inference(rectify,[],[f25]) ).

tff(f25,axiom,
    ! [X1: $int] : sort1(int,t2tb1(X1)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t2tb_sort1) ).

tff(f1071,plain,
    ( ~ sort1(int,t2tb1(sK3))
    | ( t2tb1(sK3) = t2tb1(sK5) )
    | mem(int,t2tb1(sK3),t2tb(sK4))
    | ~ spl16_1
    | ~ spl16_5 ),
    inference(resolution,[],[f574,f360]) ).

tff(f574,plain,
    ( ! [X3: uni] :
        ( ~ mem(int,X3,t2tb(sK2))
        | ( t2tb1(sK5) = X3 )
        | ~ sort1(int,X3)
        | mem(int,X3,t2tb(sK4)) )
    | ~ spl16_5 ),
    inference(subsumption_resolution,[],[f562,f314]) ).

tff(f562,plain,
    ( ! [X3: uni] :
        ( ~ sort1(int,X3)
        | mem(int,X3,t2tb(sK4))
        | ~ sort1(int,t2tb1(sK5))
        | ~ mem(int,X3,t2tb(sK2))
        | ( t2tb1(sK5) = X3 ) )
    | ~ spl16_5 ),
    inference(superposition,[],[f177,f532]) ).

tff(f177,plain,
    ! [X2: uni,X3: uni,X0: ty,X1: uni] :
      ( ~ mem(X0,X1,cons(X0,X3,X2))
      | ~ sort1(X0,X1)
      | mem(X0,X1,X2)
      | ( X1 = X3 )
      | ~ sort1(X0,X3) ),
    inference(cnf_transformation,[],[f128]) ).

tff(f128,plain,
    ! [X0: ty,X1: uni] :
      ( ( ~ mem(X0,X1,nil(X0))
        & ! [X2: uni,X3: uni] :
            ( ~ sort1(X0,X3)
            | ( ( mem(X0,X1,cons(X0,X3,X2))
                | ( ( X1 != X3 )
                  & ~ mem(X0,X1,X2) ) )
              & ( ( X1 = X3 )
                | mem(X0,X1,X2)
                | ~ mem(X0,X1,cons(X0,X3,X2)) ) ) ) )
      | ~ sort1(X0,X1) ),
    inference(flattening,[],[f127]) ).

tff(f127,plain,
    ! [X0: ty,X1: uni] :
      ( ( ~ mem(X0,X1,nil(X0))
        & ! [X2: uni,X3: uni] :
            ( ~ sort1(X0,X3)
            | ( ( mem(X0,X1,cons(X0,X3,X2))
                | ( ( X1 != X3 )
                  & ~ mem(X0,X1,X2) ) )
              & ( ( X1 = X3 )
                | mem(X0,X1,X2)
                | ~ mem(X0,X1,cons(X0,X3,X2)) ) ) ) )
      | ~ sort1(X0,X1) ),
    inference(nnf_transformation,[],[f108]) ).

tff(f108,plain,
    ! [X0: ty,X1: uni] :
      ( ( ~ mem(X0,X1,nil(X0))
        & ! [X2: uni,X3: uni] :
            ( ~ sort1(X0,X3)
            | ( mem(X0,X1,cons(X0,X3,X2))
            <=> ( ( X1 = X3 )
                | mem(X0,X1,X2) ) ) ) )
      | ~ sort1(X0,X1) ),
    inference(ennf_transformation,[],[f87]) ).

tff(f87,plain,
    ! [X1: uni,X0: ty] :
      ( sort1(X0,X1)
     => ( ! [X2: uni,X3: uni] :
            ( sort1(X0,X3)
           => ( mem(X0,X1,cons(X0,X3,X2))
            <=> ( ( X1 = X3 )
                | mem(X0,X1,X2) ) ) )
        & ~ mem(X0,X1,nil(X0)) ) ),
    inference(rectify,[],[f20]) ).

tff(f20,axiom,
    ! [X0: ty,X1: uni] :
      ( sort1(X0,X1)
     => ( ~ mem(X0,X1,nil(X0))
        & ! [X3: uni,X2: uni] :
            ( sort1(X0,X2)
           => ( ( ( X1 = X2 )
                | mem(X0,X1,X3) )
            <=> mem(X0,X1,cons(X0,X2,X3)) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mem_def) ).

tff(f878,plain,
    ( ~ spl16_5
    | spl16_7
    | ~ spl16_10 ),
    inference(avatar_contradiction_clause,[],[f877]) ).

tff(f877,plain,
    ( $false
    | ~ spl16_5
    | spl16_7
    | ~ spl16_10 ),
    inference(subsumption_resolution,[],[f876,f542]) ).

tff(f542,plain,
    ( ( sK4 != sK6 )
    | spl16_7 ),
    inference(avatar_component_clause,[],[f541]) ).

tff(f876,plain,
    ( ( sK4 = sK6 )
    | ~ spl16_5
    | ~ spl16_10 ),
    inference(forward_demodulation,[],[f873,f291]) ).

tff(f873,plain,
    ( ( tb2t(t2tb(sK4)) = sK6 )
    | ~ spl16_5
    | ~ spl16_10 ),
    inference(superposition,[],[f291,f804]) ).

tff(f804,plain,
    ( ( t2tb(sK4) = t2tb(sK6) )
    | ~ spl16_5
    | ~ spl16_10 ),
    inference(forward_demodulation,[],[f795,f569]) ).

tff(f569,plain,
    ( ( t2tb(sK4) = cons_proj_21(int,t2tb(sK2)) )
    | ~ spl16_5 ),
    inference(superposition,[],[f313,f532]) ).

tff(f313,plain,
    ! [X2: uni,X0: ty,X1: uni] : ( cons_proj_21(X0,cons(X0,X1,X2)) = X2 ),
    inference(cnf_transformation,[],[f174]) ).

tff(f174,plain,
    ! [X0: ty,X1: uni,X2: uni] : ( cons_proj_21(X0,cons(X0,X1,X2)) = X2 ),
    inference(rectify,[],[f80]) ).

tff(f80,plain,
    ! [X0: ty,X2: uni,X1: uni] : ( cons_proj_21(X0,cons(X0,X2,X1)) = X1 ),
    inference(rectify,[],[f18]) ).

tff(f18,axiom,
    ! [X0: ty,X9: uni,X6: uni] : ( cons_proj_21(X0,cons(X0,X6,X9)) = X9 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cons_proj_2_def1) ).

tff(f795,plain,
    ( ( t2tb(sK6) = cons_proj_21(int,t2tb(sK2)) )
    | ~ spl16_10 ),
    inference(superposition,[],[f313,f777]) ).

tff(f777,plain,
    ( ( t2tb(sK2) = cons(int,t2tb1(sK7),t2tb(sK6)) )
    | ~ spl16_10 ),
    inference(superposition,[],[f181,f591]) ).

tff(f591,plain,
    ( ( sK2 = tb2t(cons(int,t2tb1(sK7),t2tb(sK6))) )
    | ~ spl16_10 ),
    inference(avatar_component_clause,[],[f590]) ).

tff(f772,plain,
    ( spl16_1
    | ~ spl16_5
    | ~ spl16_9 ),
    inference(avatar_contradiction_clause,[],[f771]) ).

tff(f771,plain,
    ( $false
    | spl16_1
    | ~ spl16_5
    | ~ spl16_9 ),
    inference(subsumption_resolution,[],[f770,f375]) ).

tff(f375,plain,
    ( ~ mem(int,t2tb1(sK3),t2tb(sK2))
    | spl16_1 ),
    inference(avatar_component_clause,[],[f359]) ).

tff(f770,plain,
    ( mem(int,t2tb1(sK3),t2tb(sK2))
    | ~ spl16_5
    | ~ spl16_9 ),
    inference(subsumption_resolution,[],[f769,f314]) ).

tff(f769,plain,
    ( ~ sort1(int,t2tb1(sK3))
    | mem(int,t2tb1(sK3),t2tb(sK2))
    | ~ spl16_5
    | ~ spl16_9 ),
    inference(resolution,[],[f572,f551]) ).

tff(f572,plain,
    ( ! [X4: uni] :
        ( ~ mem(int,X4,t2tb(sK4))
        | mem(int,X4,t2tb(sK2))
        | ~ sort1(int,X4) )
    | ~ spl16_5 ),
    inference(subsumption_resolution,[],[f563,f314]) ).

tff(f563,plain,
    ( ! [X4: uni] :
        ( ~ sort1(int,X4)
        | ~ sort1(int,t2tb1(sK5))
        | ~ mem(int,X4,t2tb(sK4))
        | mem(int,X4,t2tb(sK2)) )
    | ~ spl16_5 ),
    inference(superposition,[],[f178,f532]) ).

tff(f178,plain,
    ! [X2: uni,X3: uni,X0: ty,X1: uni] :
      ( mem(X0,X1,cons(X0,X3,X2))
      | ~ sort1(X0,X1)
      | ~ mem(X0,X1,X2)
      | ~ sort1(X0,X3) ),
    inference(cnf_transformation,[],[f128]) ).

tff(f628,plain,
    ( spl16_1
    | ~ spl16_3
    | ~ spl16_5 ),
    inference(avatar_contradiction_clause,[],[f627]) ).

tff(f627,plain,
    ( $false
    | spl16_1
    | ~ spl16_3
    | ~ spl16_5 ),
    inference(subsumption_resolution,[],[f620,f375]) ).

tff(f620,plain,
    ( mem(int,t2tb1(sK3),t2tb(sK2))
    | ~ spl16_3
    | ~ spl16_5 ),
    inference(backward_demodulation,[],[f573,f366]) ).

tff(f366,plain,
    ( ( sK5 = sK3 )
    | ~ spl16_3 ),
    inference(avatar_component_clause,[],[f365]) ).

tff(f573,plain,
    ( mem(int,t2tb1(sK5),t2tb(sK2))
    | ~ spl16_5 ),
    inference(subsumption_resolution,[],[f571,f314]) ).

tff(f571,plain,
    ( mem(int,t2tb1(sK5),t2tb(sK2))
    | ~ sort1(int,t2tb1(sK5))
    | ~ spl16_5 ),
    inference(superposition,[],[f322,f532]) ).

tff(f322,plain,
    ! [X2: uni,X3: uni,X0: ty] :
      ( mem(X0,X3,cons(X0,X3,X2))
      | ~ sort1(X0,X3) ),
    inference(duplicate_literal_removal,[],[f319]) ).

tff(f319,plain,
    ! [X2: uni,X3: uni,X0: ty] :
      ( mem(X0,X3,cons(X0,X3,X2))
      | ~ sort1(X0,X3)
      | ~ sort1(X0,X3) ),
    inference(equality_resolution,[],[f179]) ).

tff(f179,plain,
    ! [X2: uni,X3: uni,X0: ty,X1: uni] :
      ( ~ sort1(X0,X3)
      | mem(X0,X1,cons(X0,X3,X2))
      | ( X1 != X3 )
      | ~ sort1(X0,X1) ),
    inference(cnf_transformation,[],[f128]) ).

tff(f609,plain,
    ( spl16_10
    | spl16_3
    | spl16_4
    | spl16_9
    | ~ spl16_2
    | ~ spl16_5
    | ~ spl16_8 ),
    inference(avatar_split_clause,[],[f602,f544,f384,f362,f550,f377,f365,f590]) ).

tff(f602,plain,
    ( mem(int,t2tb1(sK3),t2tb(sK4))
    | ( tb2t(nil(int)) = sK2 )
    | ( sK5 = sK3 )
    | ( sK2 = tb2t(cons(int,t2tb1(sK7),t2tb(sK6))) )
    | ~ spl16_2
    | ~ spl16_5
    | ~ spl16_8 ),
    inference(subsumption_resolution,[],[f599,f535]) ).

tff(f599,plain,
    ( mem(int,t2tb1(sK3),t2tb(sK4))
    | ( sK5 = sK3 )
    | ~ sorted1(sK4)
    | ( sK2 = tb2t(cons(int,t2tb1(sK7),t2tb(sK6))) )
    | ( tb2t(nil(int)) = sK2 )
    | ~ spl16_2
    | ~ spl16_8 ),
    inference(trivial_inequality_removal,[],[f598]) ).

tff(f598,plain,
    ( mem(int,t2tb1(sK3),t2tb(sK4))
    | ~ sorted1(sK4)
    | ( tb2t(nil(int)) = sK2 )
    | ( sK2 = tb2t(cons(int,t2tb1(sK7),t2tb(sK6))) )
    | ( sK8 != sK8 )
    | ( sK5 = sK3 )
    | ~ spl16_2
    | ~ spl16_8 ),
    inference(backward_demodulation,[],[f523,f545]) ).

tff(f523,plain,
    ( ( sK5 = sK3 )
    | ( tb2t(nil(int)) = sK2 )
    | ( sK2 = tb2t(cons(int,t2tb1(sK7),t2tb(sK6))) )
    | mem(int,t2tb1(sK3),t2tb(sK4))
    | ~ sorted1(sK4)
    | ( true1 != sK8 )
    | ~ spl16_2 ),
    inference(subsumption_resolution,[],[f351,f363]) ).

tff(f351,plain,
    ( ~ sorted1(sK4)
    | ( tb2t(nil(int)) = sK2 )
    | ( sK5 = sK3 )
    | ( sK2 = tb2t(cons(int,t2tb1(sK7),t2tb(sK6))) )
    | ~ $less(sK5,sK3)
    | mem(int,t2tb1(sK3),t2tb(sK4))
    | ( true1 != sK8 ) ),
    inference(duplicate_literal_removal,[],[f197]) ).

tff(f197,plain,
    ( ~ sorted1(sK4)
    | ( tb2t(nil(int)) = sK2 )
    | ( sK5 = sK3 )
    | ( tb2t(nil(int)) = sK2 )
    | ( sK2 = tb2t(cons(int,t2tb1(sK7),t2tb(sK6))) )
    | mem(int,t2tb1(sK3),t2tb(sK4))
    | ( true1 != sK8 )
    | ~ $less(sK5,sK3) ),
    inference(cnf_transformation,[],[f142]) ).

tff(f592,plain,
    ( spl16_3
    | ~ spl16_6
    | spl16_10
    | spl16_8
    | spl16_4
    | spl16_1 ),
    inference(avatar_split_clause,[],[f525,f359,f377,f544,f590,f538,f365]) ).

tff(f538,plain,
    ( spl16_6
  <=> sorted1(sK4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl16_6])]) ).

tff(f525,plain,
    ( ( tb2t(nil(int)) = sK2 )
    | ( true1 = sK8 )
    | ( sK2 = tb2t(cons(int,t2tb1(sK7),t2tb(sK6))) )
    | ~ sorted1(sK4)
    | ( sK5 = sK3 )
    | spl16_1 ),
    inference(subsumption_resolution,[],[f343,f375]) ).

tff(f343,plain,
    ( ( true1 = sK8 )
    | ( sK2 = tb2t(cons(int,t2tb1(sK7),t2tb(sK6))) )
    | ~ sorted1(sK4)
    | mem(int,t2tb1(sK3),t2tb(sK2))
    | ( sK5 = sK3 )
    | ( tb2t(nil(int)) = sK2 ) ),
    inference(duplicate_literal_removal,[],[f200]) ).

tff(f200,plain,
    ( ( tb2t(nil(int)) = sK2 )
    | mem(int,t2tb1(sK3),t2tb(sK2))
    | ( true1 = sK8 )
    | ( sK5 = sK3 )
    | ( tb2t(nil(int)) = sK2 )
    | ~ sorted1(sK4)
    | mem(int,t2tb1(sK3),t2tb(sK2))
    | ( sK2 = tb2t(cons(int,t2tb1(sK7),t2tb(sK6))) ) ),
    inference(cnf_transformation,[],[f142]) ).

tff(f552,plain,
    ( spl16_9
    | ~ spl16_6
    | spl16_3
    | spl16_4
    | ~ spl16_7
    | spl16_1 ),
    inference(avatar_split_clause,[],[f524,f359,f541,f377,f365,f538,f550]) ).

tff(f524,plain,
    ( ( sK4 != sK6 )
    | ( tb2t(nil(int)) = sK2 )
    | ( sK5 = sK3 )
    | ~ sorted1(sK4)
    | mem(int,t2tb1(sK3),t2tb(sK4))
    | spl16_1 ),
    inference(subsumption_resolution,[],[f355,f375]) ).

tff(f355,plain,
    ( ~ sorted1(sK4)
    | ( sK5 = sK3 )
    | mem(int,t2tb1(sK3),t2tb(sK4))
    | ( sK4 != sK6 )
    | mem(int,t2tb1(sK3),t2tb(sK2))
    | ( tb2t(nil(int)) = sK2 ) ),
    inference(subsumption_resolution,[],[f354,f353]) ).

tff(f353,plain,
    ( ( tb2t(nil(int)) = sK2 )
    | ( sK4 != sK6 )
    | ~ sorted1(sK4)
    | ( true1 = sK8 )
    | ( sK5 = sK3 )
    | mem(int,t2tb1(sK3),t2tb(sK2)) ),
    inference(subsumption_resolution,[],[f350,f212]) ).

tff(f212,plain,
    ( ( tb2t(nil(int)) = sK2 )
    | ( sK5 = sK3 )
    | $less(sK5,sK3)
    | mem(int,t2tb1(sK3),t2tb(sK2)) ),
    inference(cnf_transformation,[],[f142]) ).

tff(f350,plain,
    ( ( sK5 = sK3 )
    | mem(int,t2tb1(sK3),t2tb(sK2))
    | ( true1 = sK8 )
    | ( tb2t(nil(int)) = sK2 )
    | ~ $less(sK5,sK3)
    | ( sK4 != sK6 )
    | ~ sorted1(sK4) ),
    inference(duplicate_literal_removal,[],[f207]) ).

tff(f207,plain,
    ( ( true1 = sK8 )
    | mem(int,t2tb1(sK3),t2tb(sK2))
    | ~ $less(sK5,sK3)
    | ( tb2t(nil(int)) = sK2 )
    | ~ sorted1(sK4)
    | ( sK5 = sK3 )
    | ( tb2t(nil(int)) = sK2 )
    | ( sK4 != sK6 ) ),
    inference(cnf_transformation,[],[f142]) ).

tff(f354,plain,
    ( ( sK4 != sK6 )
    | mem(int,t2tb1(sK3),t2tb(sK2))
    | ( true1 != sK8 )
    | mem(int,t2tb1(sK3),t2tb(sK4))
    | ( tb2t(nil(int)) = sK2 )
    | ( sK5 = sK3 )
    | ~ sorted1(sK4) ),
    inference(subsumption_resolution,[],[f244,f212]) ).

tff(f244,plain,
    ( ~ sorted1(sK4)
    | ~ $less(sK5,sK3)
    | ( sK5 = sK3 )
    | ( tb2t(nil(int)) = sK2 )
    | ( sK4 != sK6 )
    | mem(int,t2tb1(sK3),t2tb(sK2))
    | mem(int,t2tb1(sK3),t2tb(sK4))
    | ( true1 != sK8 ) ),
    inference(cnf_transformation,[],[f142]) ).

tff(f548,plain,
    ( ~ spl16_5
    | spl16_6 ),
    inference(avatar_contradiction_clause,[],[f547]) ).

tff(f547,plain,
    ( $false
    | ~ spl16_5
    | spl16_6 ),
    inference(subsumption_resolution,[],[f539,f535]) ).

tff(f539,plain,
    ( ~ sorted1(sK4)
    | spl16_6 ),
    inference(avatar_component_clause,[],[f538]) ).

tff(f516,plain,
    ( ~ spl16_1
    | ~ spl16_4 ),
    inference(avatar_contradiction_clause,[],[f515]) ).

tff(f515,plain,
    ( $false
    | ~ spl16_1
    | ~ spl16_4 ),
    inference(subsumption_resolution,[],[f513,f314]) ).

tff(f513,plain,
    ( ~ sort1(int,t2tb1(sK3))
    | ~ spl16_1
    | ~ spl16_4 ),
    inference(resolution,[],[f360,f401]) ).

tff(f401,plain,
    ( ! [X0: uni] :
        ( ~ mem(int,X0,t2tb(sK2))
        | ~ sort1(int,X0) )
    | ~ spl16_4 ),
    inference(superposition,[],[f180,f391]) ).

tff(f391,plain,
    ( ( nil(int) = t2tb(sK2) )
    | ~ spl16_4 ),
    inference(superposition,[],[f181,f378]) ).

tff(f378,plain,
    ( ( tb2t(nil(int)) = sK2 )
    | ~ spl16_4 ),
    inference(avatar_component_clause,[],[f377]) ).

tff(f180,plain,
    ! [X0: ty,X1: uni] :
      ( ~ mem(X0,X1,nil(X0))
      | ~ sort1(X0,X1) ),
    inference(cnf_transformation,[],[f128]) ).

tff(f505,plain,
    ( ~ spl16_4
    | ~ spl16_5 ),
    inference(avatar_contradiction_clause,[],[f504]) ).

tff(f504,plain,
    ( $false
    | ~ spl16_4
    | ~ spl16_5 ),
    inference(subsumption_resolution,[],[f492,f391]) ).

tff(f492,plain,
    ( ( nil(int) != t2tb(sK2) )
    | ~ spl16_5 ),
    inference(superposition,[],[f190,f412]) ).

tff(f412,plain,
    ( ( cons(int,t2tb1(sK5),t2tb(sK4)) = t2tb(sK2) )
    | ~ spl16_5 ),
    inference(superposition,[],[f181,f385]) ).

tff(f190,plain,
    ! [X2: uni,X0: ty,X1: uni] : ( nil(X0) != cons(X0,X1,X2) ),
    inference(cnf_transformation,[],[f133]) ).

tff(f133,plain,
    ! [X0: ty,X1: uni,X2: uni] : ( nil(X0) != cons(X0,X1,X2) ),
    inference(rectify,[],[f104]) ).

tff(f104,plain,
    ! [X2: ty,X0: uni,X1: uni] : ( nil(X2) != cons(X2,X0,X1) ),
    inference(rectify,[],[f14]) ).

tff(f14,axiom,
    ! [X10: uni,X11: uni,X0: ty] : ( nil(X0) != cons(X0,X10,X11) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',nil_Cons1) ).

tff(f400,plain,
    ( spl16_1
    | spl16_5 ),
    inference(avatar_split_clause,[],[f272,f384,f359]) ).

tff(f272,plain,
    ( ( tb2t(cons(int,t2tb1(sK5),t2tb(sK4))) = sK2 )
    | mem(int,t2tb1(sK3),t2tb(sK2)) ),
    inference(cnf_transformation,[],[f142]) ).

tff(f386,plain,
    ( spl16_5
    | spl16_4 ),
    inference(avatar_split_clause,[],[f233,f377,f384]) ).

tff(f233,plain,
    ( ( tb2t(nil(int)) = sK2 )
    | ( tb2t(cons(int,t2tb1(sK5),t2tb(sK4))) = sK2 ) ),
    inference(cnf_transformation,[],[f142]) ).

tff(f380,plain,
    ( ~ spl16_1
    | spl16_4
    | ~ spl16_3 ),
    inference(avatar_split_clause,[],[f232,f365,f377,f359]) ).

tff(f367,plain,
    ( spl16_1
    | spl16_2
    | spl16_3 ),
    inference(avatar_split_clause,[],[f348,f365,f362,f359]) ).

tff(f348,plain,
    ( ( sK5 = sK3 )
    | $less(sK5,sK3)
    | mem(int,t2tb1(sK3),t2tb(sK2)) ),
    inference(duplicate_literal_removal,[],[f251]) ).

tff(f251,plain,
    ( $less(sK5,sK3)
    | mem(int,t2tb1(sK3),t2tb(sK2))
    | ( sK5 = sK3 )
    | mem(int,t2tb1(sK3),t2tb(sK2)) ),
    inference(cnf_transformation,[],[f142]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem    : SWW643=2 : TPTP v8.1.0. Released v6.1.0.
% 0.12/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.12/0.34  % Computer : n028.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit   : 300
% 0.12/0.34  % WCLimit    : 300
% 0.12/0.34  % DateTime   : Tue Aug 30 21:06:49 EDT 2022
% 0.12/0.34  % CPUTime    : 
% 0.19/0.49  % (30858)dis+1010_1:4_aac=none:abs=on:atotf=0.5:avsq=on:avsqc=2:avsqr=215,247:awrs=converge:awrsf=128:bsd=on:erd=off:fde=none:gve=cautious:newcnf=on:nwc=5.0:rnwc=on:sac=on:sas=z3:sp=const_min:tgt=ground:thsq=on:thsqc=64:thsqr=1,4:i=59848:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59848Mi)
% 0.19/0.49  % (30886)dis+1011_1:1_bd=off:canc=force:ev=cautious:nwc=5.0:i=21:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/21Mi)
% 0.19/0.50  % (30878)dis+1002_1:5_av=off:nwc=2.0:sos=all:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/15Mi)
% 0.19/0.50  % (30870)lrs+10_1:1_ep=R:gve=force:plsq=on:plsqr=32,1:uwa=one_side_interpreted:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.19/0.50  % (30870)Instruction limit reached!
% 0.19/0.50  % (30870)------------------------------
% 0.19/0.50  % (30870)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.50  % (30870)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.50  % (30870)Termination reason: Unknown
% 0.19/0.50  % (30870)Termination phase: Preprocessing 1
% 0.19/0.50  
% 0.19/0.50  % (30870)Memory used [KB]: 1023
% 0.19/0.50  % (30870)Time elapsed: 0.004 s
% 0.19/0.50  % (30870)Instructions burned: 3 (million)
% 0.19/0.50  % (30870)------------------------------
% 0.19/0.50  % (30870)------------------------------
% 0.19/0.51  % (30869)dis+32_1:1_bd=off:nm=4:sos=on:ss=included:i=4:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/4Mi)
% 0.19/0.51  % (30865)lrs+1010_1:1_bd=off:fd=off:fde=none:ins=3:sac=on:sos=on:spb=goal:to=lpo:i=36:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/36Mi)
% 0.19/0.52  % (30873)dis+20_1:12_aac=none:acc=model:awrs=converge:fd=preordered:fsr=off:nicw=on:nwc=3.0:s2a=on:s2agt=16:spb=goal:to=lpo:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.19/0.52  % (30873)Instruction limit reached!
% 0.19/0.52  % (30873)------------------------------
% 0.19/0.52  % (30873)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52  % (30873)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52  % (30873)Termination reason: Unknown
% 0.19/0.52  % (30873)Termination phase: SInE selection
% 0.19/0.52  
% 0.19/0.52  % (30873)Memory used [KB]: 1023
% 0.19/0.52  % (30873)Time elapsed: 0.004 s
% 0.19/0.52  % (30873)Instructions burned: 3 (million)
% 0.19/0.52  % (30873)------------------------------
% 0.19/0.52  % (30873)------------------------------
% 0.19/0.52  % (30862)ott+1011_1:2_br=off:bs=unit_only:bsr=unit_only:nwc=5.0:s2a=on:s2agt=32:urr=on:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.19/0.52  % (30878)Instruction limit reached!
% 0.19/0.52  % (30878)------------------------------
% 0.19/0.52  % (30878)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52  % (30878)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52  % (30878)Termination reason: Unknown
% 0.19/0.52  % (30878)Termination phase: Saturation
% 0.19/0.52  
% 0.19/0.52  % (30878)Memory used [KB]: 1279
% 0.19/0.52  % (30878)Time elapsed: 0.127 s
% 0.19/0.52  % (30878)Instructions burned: 15 (million)
% 0.19/0.52  % (30878)------------------------------
% 0.19/0.52  % (30878)------------------------------
% 0.19/0.52  % (30880)dis+2_1:1_av=off:bsr=on:erd=off:s2pl=on:sgt=16:sos=on:sp=frequency:ss=axioms:i=46:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/46Mi)
% 0.19/0.53  % (30882)lrs+1_1:10_av=off:drc=off:nwc=2.0:sp=reverse_frequency:thsq=on:thsqc=64:thsql=off:i=47:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/47Mi)
% 0.19/0.53  % (30860)dis+1011_1:64_drc=off:flr=on:nwc=2.0:sac=on:urr=ec_only:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/8Mi)
% 0.19/0.53  % (30869)Instruction limit reached!
% 0.19/0.53  % (30869)------------------------------
% 0.19/0.53  % (30869)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53  % (30869)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53  % (30869)Termination reason: Unknown
% 0.19/0.53  % (30869)Termination phase: Clausification
% 0.19/0.53  
% 0.19/0.53  % (30869)Memory used [KB]: 1151
% 0.19/0.53  % (30869)Time elapsed: 0.004 s
% 0.19/0.53  % (30869)Instructions burned: 5 (million)
% 0.19/0.53  % (30869)------------------------------
% 0.19/0.53  % (30869)------------------------------
% 0.19/0.53  % (30871)dis+10_1:64_nwc=1.4:tha=off:i=21:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/21Mi)
% 0.19/0.53  % (30868)lrs+10_1:1_canc=force:tha=some:to=lpo:i=35:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/35Mi)
% 0.19/0.53  % (30886)Instruction limit reached!
% 0.19/0.53  % (30886)------------------------------
% 0.19/0.53  % (30886)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53  % (30859)lrs+1010_1:1_aac=none:bce=on:nicw=on:nm=0:plsq=on:plsql=on:sac=on:sos=on:sp=frequency:spb=units:to=lpo:i=34:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/34Mi)
% 0.19/0.53  % (30886)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53  % (30886)Termination reason: Unknown
% 0.19/0.53  % (30886)Termination phase: Saturation
% 0.19/0.53  
% 0.19/0.53  % (30886)Memory used [KB]: 5884
% 0.19/0.53  % (30886)Time elapsed: 0.137 s
% 0.19/0.53  % (30886)Instructions burned: 22 (million)
% 0.19/0.53  % (30886)------------------------------
% 0.19/0.53  % (30886)------------------------------
% 0.19/0.53  % (30860)Instruction limit reached!
% 0.19/0.53  % (30860)------------------------------
% 0.19/0.53  % (30860)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53  % (30860)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53  % (30860)Termination reason: Unknown
% 0.19/0.53  % (30860)Termination phase: Saturation
% 0.19/0.53  
% 0.19/0.53  % (30860)Memory used [KB]: 5628
% 0.19/0.53  % (30860)Time elapsed: 0.132 s
% 0.19/0.53  % (30860)Instructions burned: 9 (million)
% 0.19/0.53  % (30860)------------------------------
% 0.19/0.53  % (30860)------------------------------
% 0.19/0.53  % (30872)lrs+22_1:1_amm=sco:fsr=off:gve=force:sos=on:uwa=all:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.19/0.53  % (30885)dis+10_1:64_nwc=1.4:tha=off:i=21:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/21Mi)
% 0.19/0.53  % (30881)dis+32_1:1_bd=off:nm=4:sos=on:ss=included:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.19/0.54  % (30875)dis+21_1:1_aac=none:abs=on:er=known:fde=none:fsr=off:nwc=5.0:s2a=on:s2at=4.0:sp=const_frequency:to=lpo:urr=ec_only:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/49Mi)
% 0.19/0.54  % (30887)dis+20_1:12_aac=none:acc=model:awrs=converge:fd=preordered:fsr=off:nicw=on:nwc=3.0:s2a=on:s2agt=16:spb=goal:to=lpo:i=41:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/41Mi)
% 0.19/0.54  % (30877)lrs+10_1:1_sd=10:sos=all:ss=axioms:st=5.0:tha=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.19/0.54  % (30877)Instruction limit reached!
% 0.19/0.54  % (30877)------------------------------
% 0.19/0.54  % (30877)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.54  % (30877)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.54  % (30877)Termination reason: Unknown
% 0.19/0.54  % (30877)Termination phase: shuffling
% 0.19/0.54  
% 0.19/0.54  % (30877)Memory used [KB]: 895
% 0.19/0.54  % (30877)Time elapsed: 0.002 s
% 0.19/0.54  % (30877)Instructions burned: 2 (million)
% 0.19/0.54  % (30877)------------------------------
% 0.19/0.54  % (30877)------------------------------
% 0.19/0.54  % (30884)lrs+1_3:1_ep=RSTC:sos=on:urr=on:i=43:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/43Mi)
% 0.19/0.54  % (30874)lrs+10_1:1_ev=force:gve=cautious:tha=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.19/0.54  % (30861)ott+21_1:1_erd=off:s2a=on:sac=on:sd=1:sgt=64:sos=on:ss=included:st=3.0:to=lpo:urr=on:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.19/0.54  % (30861)Instruction limit reached!
% 0.19/0.54  % (30861)------------------------------
% 0.19/0.54  % (30861)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.54  % (30861)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.54  % (30861)Termination reason: Unknown
% 0.19/0.54  % (30861)Termination phase: Property scanning
% 0.19/0.54  
% 0.19/0.54  % (30861)Memory used [KB]: 895
% 0.19/0.54  % (30861)Time elapsed: 0.003 s
% 0.19/0.54  % (30861)Instructions burned: 2 (million)
% 0.19/0.54  % (30861)------------------------------
% 0.19/0.54  % (30861)------------------------------
% 0.19/0.54  % (30864)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=32:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/32Mi)
% 0.19/0.54  % (30867)lrs+10_1:8_ep=R:erd=off:fs=off:fsr=off:gve=force:nwc=2.0:uwa=one_side_interpreted:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.19/0.54  % (30867)Instruction limit reached!
% 0.19/0.54  % (30867)------------------------------
% 0.19/0.54  % (30867)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.54  % (30867)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.54  % (30867)Termination reason: Unknown
% 0.19/0.54  % (30867)Termination phase: Property scanning
% 0.19/0.54  
% 0.19/0.54  % (30867)Memory used [KB]: 1023
% 0.19/0.54  % (30867)Time elapsed: 0.002 s
% 0.19/0.54  % (30867)Instructions burned: 3 (million)
% 0.19/0.54  % (30867)------------------------------
% 0.19/0.54  % (30867)------------------------------
% 0.19/0.54  % (30879)dis+10_1:64_nwc=1.4:rp=on:tha=off:i=21:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/21Mi)
% 0.19/0.54  % (30866)lrs+1010_1:1_ep=RST:s2a=on:s2at=5.0:sos=all:i=26:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/26Mi)
% 0.19/0.55  % (30876)lrs+10_1:1_ss=axioms:st=5.0:tha=off:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/15Mi)
% 0.19/0.55  % (30863)lrs+10_1:32_s2a=on:s2agt=10:sgt=8:ss=axioms:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/15Mi)
% 0.19/0.55  % (30883)lrs+1002_1:1_br=off:canc=force:drc=off:s2a=on:sos=on:sp=reverse_frequency:urr=on:i=42:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/42Mi)
% 0.19/0.55  % (30863)Instruction limit reached!
% 0.19/0.55  % (30863)------------------------------
% 0.19/0.55  % (30863)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.55  % (30863)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.55  % (30863)Termination reason: Unknown
% 0.19/0.55  % (30863)Termination phase: Saturation
% 0.19/0.55  
% 0.19/0.55  % (30863)Memory used [KB]: 5756
% 0.19/0.55  % (30863)Time elapsed: 0.155 s
% 0.19/0.55  % (30863)Instructions burned: 15 (million)
% 0.19/0.55  % (30863)------------------------------
% 0.19/0.55  % (30863)------------------------------
% 0.19/0.56  % (30874)Instruction limit reached!
% 0.19/0.56  % (30874)------------------------------
% 0.19/0.56  % (30874)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.56  % (30874)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.56  % (30874)Termination reason: Unknown
% 0.19/0.56  % (30874)Termination phase: Preprocessing 1
% 0.19/0.56  
% 0.19/0.56  % (30874)Memory used [KB]: 895
% 0.19/0.56  % (30874)Time elapsed: 0.002 s
% 0.19/0.56  % (30874)Instructions burned: 2 (million)
% 0.19/0.56  % (30874)------------------------------
% 0.19/0.56  % (30874)------------------------------
% 0.19/0.56  % (30885)Instruction limit reached!
% 0.19/0.56  % (30885)------------------------------
% 0.19/0.56  % (30885)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.56  % (30885)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.56  % (30885)Termination reason: Unknown
% 0.19/0.56  % (30885)Termination phase: Saturation
% 0.19/0.56  
% 0.19/0.56  % (30885)Memory used [KB]: 5756
% 0.19/0.56  % (30885)Time elapsed: 0.157 s
% 0.19/0.56  % (30885)Instructions burned: 21 (million)
% 0.19/0.56  % (30885)------------------------------
% 0.19/0.56  % (30885)------------------------------
% 0.19/0.56  % (30871)Instruction limit reached!
% 0.19/0.56  % (30871)------------------------------
% 0.19/0.56  % (30871)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.56  % (30871)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.56  % (30871)Termination reason: Unknown
% 0.19/0.56  % (30871)Termination phase: Saturation
% 0.19/0.56  
% 0.19/0.56  % (30871)Memory used [KB]: 5756
% 0.19/0.56  % (30871)Time elapsed: 0.166 s
% 0.19/0.56  % (30871)Instructions burned: 22 (million)
% 0.19/0.56  % (30871)------------------------------
% 0.19/0.56  % (30871)------------------------------
% 1.73/0.57  % (30865)Instruction limit reached!
% 1.73/0.57  % (30865)------------------------------
% 1.73/0.57  % (30865)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.73/0.57  % (30879)Instruction limit reached!
% 1.73/0.57  % (30879)------------------------------
% 1.73/0.57  % (30879)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.73/0.57  % (30879)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.73/0.57  % (30879)Termination reason: Unknown
% 1.73/0.57  % (30879)Termination phase: Saturation
% 1.73/0.57  
% 1.73/0.57  % (30879)Memory used [KB]: 5756
% 1.73/0.57  % (30879)Time elapsed: 0.165 s
% 1.73/0.57  % (30879)Instructions burned: 22 (million)
% 1.73/0.57  % (30879)------------------------------
% 1.73/0.57  % (30879)------------------------------
% 1.73/0.57  % (30876)Instruction limit reached!
% 1.73/0.57  % (30876)------------------------------
% 1.73/0.57  % (30876)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.73/0.57  % (30876)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.73/0.57  % (30876)Termination reason: Unknown
% 1.73/0.57  % (30876)Termination phase: Saturation
% 1.73/0.57  
% 1.73/0.57  % (30876)Memory used [KB]: 5756
% 1.73/0.57  % (30876)Time elapsed: 0.180 s
% 1.73/0.57  % (30876)Instructions burned: 16 (million)
% 1.73/0.57  % (30876)------------------------------
% 1.73/0.57  % (30876)------------------------------
% 1.73/0.57  % (30862)Instruction limit reached!
% 1.73/0.57  % (30862)------------------------------
% 1.73/0.57  % (30862)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.86/0.58  % (30868)Instruction limit reached!
% 1.86/0.58  % (30868)------------------------------
% 1.86/0.58  % (30868)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.86/0.58  % (30859)Instruction limit reached!
% 1.86/0.58  % (30859)------------------------------
% 1.86/0.58  % (30859)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.86/0.58  % (30859)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.86/0.58  % (30859)Termination reason: Unknown
% 1.86/0.58  % (30859)Termination phase: Saturation
% 1.86/0.58  
% 1.86/0.58  % (30859)Memory used [KB]: 5884
% 1.86/0.58  % (30859)Time elapsed: 0.183 s
% 1.86/0.58  % (30859)Instructions burned: 34 (million)
% 1.86/0.58  % (30859)------------------------------
% 1.86/0.58  % (30859)------------------------------
% 1.86/0.58  % (30862)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.86/0.58  % (30862)Termination reason: Unknown
% 1.86/0.58  % (30862)Termination phase: Saturation
% 1.86/0.58  
% 1.86/0.58  % (30862)Memory used [KB]: 6012
% 1.86/0.58  % (30866)Instruction limit reached!
% 1.86/0.58  % (30866)------------------------------
% 1.86/0.58  % (30866)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.86/0.58  % (30866)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.86/0.58  % (30866)Termination reason: Unknown
% 1.86/0.58  % (30866)Termination phase: Saturation
% 1.86/0.58  
% 1.86/0.58  % (30866)Memory used [KB]: 6012
% 1.86/0.58  % (30866)Time elapsed: 0.174 s
% 1.86/0.58  % (30866)Instructions burned: 27 (million)
% 1.86/0.58  % (30866)------------------------------
% 1.86/0.58  % (30866)------------------------------
% 1.86/0.58  % (30862)Time elapsed: 0.183 s
% 1.86/0.58  % (30862)Instructions burned: 38 (million)
% 1.86/0.58  % (30862)------------------------------
% 1.86/0.58  % (30862)------------------------------
% 1.86/0.59  % (30865)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.86/0.59  % (30865)Termination reason: Unknown
% 1.86/0.59  % (30865)Termination phase: Saturation
% 1.86/0.59  
% 1.86/0.59  % (30865)Memory used [KB]: 6140
% 1.86/0.59  % (30865)Time elapsed: 0.167 s
% 1.86/0.59  % (30865)Instructions burned: 37 (million)
% 1.86/0.59  % (30865)------------------------------
% 1.86/0.59  % (30865)------------------------------
% 1.86/0.60  % (30864)Instruction limit reached!
% 1.86/0.60  % (30864)------------------------------
% 1.86/0.60  % (30864)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.86/0.60  % (30864)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.86/0.60  % (30864)Termination reason: Unknown
% 1.86/0.60  % (30864)Termination phase: Saturation
% 1.86/0.60  
% 1.86/0.60  % (30864)Memory used [KB]: 6140
% 1.86/0.60  % (30864)Time elapsed: 0.174 s
% 1.86/0.60  % (30864)Instructions burned: 32 (million)
% 1.86/0.60  % (30864)------------------------------
% 1.86/0.60  % (30864)------------------------------
% 1.86/0.60  % (30868)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.86/0.60  % (30868)Termination reason: Unknown
% 1.86/0.60  % (30868)Termination phase: Saturation
% 1.86/0.60  
% 1.86/0.60  % (30868)Memory used [KB]: 6140
% 1.86/0.60  % (30868)Time elapsed: 0.187 s
% 1.86/0.60  % (30868)Instructions burned: 35 (million)
% 1.86/0.60  % (30868)------------------------------
% 1.86/0.60  % (30868)------------------------------
% 1.86/0.60  % (30880)Instruction limit reached!
% 1.86/0.60  % (30880)------------------------------
% 1.86/0.60  % (30880)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.86/0.60  % (30880)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.86/0.60  % (30880)Termination reason: Unknown
% 1.86/0.60  % (30880)Termination phase: Saturation
% 1.86/0.60  
% 1.86/0.60  % (30880)Memory used [KB]: 1535
% 1.86/0.60  % (30880)Time elapsed: 0.156 s
% 1.86/0.60  % (30880)Instructions burned: 47 (million)
% 1.86/0.60  % (30880)------------------------------
% 1.86/0.60  % (30880)------------------------------
% 1.86/0.61  % (30882)Instruction limit reached!
% 1.86/0.61  % (30882)------------------------------
% 1.86/0.61  % (30882)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.86/0.61  % (30882)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.86/0.61  % (30882)Termination reason: Unknown
% 1.86/0.61  % (30882)Termination phase: Saturation
% 1.86/0.61  
% 1.86/0.61  % (30882)Memory used [KB]: 1535
% 1.86/0.61  % (30882)Time elapsed: 0.205 s
% 1.86/0.61  % (30882)Instructions burned: 47 (million)
% 1.86/0.61  % (30882)------------------------------
% 1.86/0.61  % (30882)------------------------------
% 1.86/0.62  % (30887)Instruction limit reached!
% 1.86/0.62  % (30887)------------------------------
% 1.86/0.62  % (30887)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.86/0.62  % (30887)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.86/0.62  % (30887)Termination reason: Unknown
% 1.86/0.62  % (30887)Termination phase: Saturation
% 1.86/0.62  
% 1.86/0.62  % (30887)Memory used [KB]: 6268
% 1.86/0.62  % (30887)Time elapsed: 0.231 s
% 1.86/0.62  % (30887)Instructions burned: 42 (million)
% 1.86/0.62  % (30887)------------------------------
% 1.86/0.62  % (30887)------------------------------
% 1.86/0.62  % (30884)Instruction limit reached!
% 1.86/0.62  % (30884)------------------------------
% 1.86/0.62  % (30884)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.86/0.62  % (30884)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.86/0.62  % (30884)Termination reason: Unknown
% 1.86/0.62  % (30884)Termination phase: Saturation
% 1.86/0.62  
% 1.86/0.62  % (30884)Memory used [KB]: 6652
% 1.86/0.62  % (30884)Time elapsed: 0.227 s
% 1.86/0.62  % (30884)Instructions burned: 43 (million)
% 1.86/0.62  % (30884)------------------------------
% 1.86/0.62  % (30884)------------------------------
% 2.17/0.63  % (30881)Instruction limit reached!
% 2.17/0.63  % (30881)------------------------------
% 2.17/0.63  % (30881)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.17/0.63  % (30881)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.17/0.63  % (30881)Termination reason: Unknown
% 2.17/0.63  % (30881)Termination phase: Saturation
% 2.17/0.63  
% 2.17/0.63  % (30881)Memory used [KB]: 6140
% 2.17/0.63  % (30881)Time elapsed: 0.213 s
% 2.17/0.63  % (30881)Instructions burned: 50 (million)
% 2.17/0.63  % (30881)------------------------------
% 2.17/0.63  % (30881)------------------------------
% 2.17/0.63  % (30883)Instruction limit reached!
% 2.17/0.63  % (30883)------------------------------
% 2.17/0.63  % (30883)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.17/0.63  % (30883)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.17/0.63  % (30883)Termination reason: Unknown
% 2.17/0.63  % (30883)Termination phase: Saturation
% 2.17/0.63  
% 2.17/0.63  % (30883)Memory used [KB]: 6268
% 2.17/0.63  % (30883)Time elapsed: 0.237 s
% 2.17/0.63  % (30883)Instructions burned: 43 (million)
% 2.17/0.63  % (30883)------------------------------
% 2.17/0.63  % (30883)------------------------------
% 2.17/0.63  % (30872)Instruction limit reached!
% 2.17/0.63  % (30872)------------------------------
% 2.17/0.63  % (30872)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.17/0.63  % (30872)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.17/0.63  % (30872)Termination reason: Unknown
% 2.17/0.63  % (30872)Termination phase: Saturation
% 2.17/0.63  
% 2.17/0.63  % (30872)Memory used [KB]: 6524
% 2.17/0.63  % (30872)Time elapsed: 0.196 s
% 2.17/0.63  % (30872)Instructions burned: 51 (million)
% 2.17/0.63  % (30872)------------------------------
% 2.17/0.63  % (30872)------------------------------
% 2.24/0.65  % (30891)lrs+1010_1:1_aac=none:bce=on:nicw=on:nm=0:plsq=on:plsql=on:sac=on:sos=on:sp=frequency:spb=units:to=lpo:i=148:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/148Mi)
% 2.24/0.65  % (30889)lrs+1_1:1_aac=none:acc=on:add=large:bd=off:bs=unit_only:bsr=on:cond=on:nm=0:sac=on:sd=3:sos=on:ss=axioms:st=2.0:i=47:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/47Mi)
% 2.24/0.66  % (30890)dis+10_1:64_nwc=1.4:rp=on:tha=off:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/25Mi)
% 2.24/0.66  % (30894)lrs+22_1:1_amm=sco:fsr=off:gve=force:sos=on:uwa=all:i=58:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/58Mi)
% 2.24/0.66  % (30888)lrs+10_1:1_ss=axioms:st=5.0:tha=off:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/15Mi)
% 2.24/0.66  % (30875)Instruction limit reached!
% 2.24/0.66  % (30875)------------------------------
% 2.24/0.66  % (30875)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.24/0.66  % (30875)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.24/0.66  % (30875)Termination reason: Unknown
% 2.24/0.66  % (30875)Termination phase: Saturation
% 2.24/0.66  
% 2.24/0.66  % (30875)Memory used [KB]: 6140
% 2.24/0.66  % (30875)Time elapsed: 0.236 s
% 2.24/0.66  % (30875)Instructions burned: 50 (million)
% 2.24/0.66  % (30875)------------------------------
% 2.24/0.66  % (30875)------------------------------
% 2.24/0.67  % (30895)lrs+10_1:1_thi=all:thigen=on:i=96:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/96Mi)
% 2.24/0.68  % (30893)ott+21_1:1_bd=off:bsr=unit_only:drc=off:fd=preordered:fsr=off:nwc=3.0:sac=on:to=lpo:urr=on:i=76:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/76Mi)
% 2.24/0.68  % (30899)lrs+10_1:1_newcnf=on:sas=z3:tgt=ground:tha=off:i=223:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/223Mi)
% 2.24/0.69  % (30892)lrs+10_1:1_acc=model:br=off:ins=1:newcnf=on:nwc=5.0:s2a=on:sac=on:sp=frequency:to=lpo:urr=on:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/100Mi)
% 2.24/0.69  % (30900)lrs+1002_1:1_av=off:br=off:fs=off:fsr=off:tha=off:urr=ec_only:i=343:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/343Mi)
% 2.24/0.69  % (30888)Instruction limit reached!
% 2.24/0.69  % (30888)------------------------------
% 2.24/0.69  % (30888)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.24/0.69  % (30888)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.24/0.69  % (30888)Termination reason: Unknown
% 2.24/0.69  % (30888)Termination phase: Saturation
% 2.24/0.69  
% 2.24/0.69  % (30888)Memory used [KB]: 5756
% 2.24/0.69  % (30888)Time elapsed: 0.148 s
% 2.24/0.69  % (30888)Instructions burned: 15 (million)
% 2.24/0.69  % (30888)------------------------------
% 2.24/0.69  % (30888)------------------------------
% 2.24/0.69  % (30902)lrs+1010_5:1_aer=off:norm_ineq=on:sas=z3:sos=all:ss=axioms:tha=off:i=150:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/150Mi)
% 2.24/0.70  % (30890)Instruction limit reached!
% 2.24/0.70  % (30890)------------------------------
% 2.24/0.70  % (30890)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.24/0.70  % (30896)lrs+10_1:3_add=large:afr=on:anc=all_dependent:avsq=on:avsqr=21,226:awrs=decay:awrsf=47:br=off:bsd=on:canc=cautious:cond=fast:fd=preordered:fsd=on:fsr=off:gs=on:gve=force:ins=1:lma=on:s2agt=4:s2at=1.9:sas=z3:slsq=on:slsqc=1:slsqr=13,121:sp=reverse_arity:tha=some:to=lpo:uace=off:uhcvi=on:updr=off:urr=ec_only:i=108:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/108Mi)
% 2.24/0.71  % (30901)lrs+1011_1:1_br=off:fs=off:fsr=off:tha=off:urr=ec_only:i=488:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/488Mi)
% 2.24/0.71  % (30890)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.24/0.71  % (30890)Termination reason: Unknown
% 2.24/0.71  % (30890)Termination phase: Saturation
% 2.24/0.71  
% 2.24/0.71  % (30890)Memory used [KB]: 5884
% 2.24/0.71  % (30890)Time elapsed: 0.098 s
% 2.24/0.71  % (30890)Instructions burned: 26 (million)
% 2.24/0.71  % (30890)------------------------------
% 2.24/0.71  % (30890)------------------------------
% 2.24/0.71  % (30897)lrs+10_1:1_plsq=on:plsqc=1:plsqr=32,1:tha=off:thi=overlap:i=463:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/463Mi)
% 2.24/0.71  % (30905)lrs+1010_5:1_norm_ineq=on:sas=z3:sos=all:ss=axioms:tha=off:i=493:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/493Mi)
% 2.24/0.71  % (30903)lrs+1011_1:1_br=off:fde=none:norm_ineq=on:nwc=10.0:sas=z3:slsq=on:slsqc=2:slsql=off:slsqr=1,4:sp=reverse_frequency:i=160:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/160Mi)
% 2.45/0.72  % (30904)dis+10_1:1_bd=off:fde=unused:gsp=on:ins=1:norm_ineq=on:sas=z3:sos=all:tha=off:i=370:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/370Mi)
% 2.45/0.73  % (30909)dis+1010_1:1_s2a=on:sp=frequency:to=lpo:i=274:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/274Mi)
% 2.45/0.73  % (30908)ott+21_1:1_erd=off:s2a=on:sac=on:sd=1:sgt=64:sos=on:ss=included:st=3.0:to=lpo:urr=on:i=211:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/211Mi)
% 2.45/0.73  % (30898)lrs+1011_4:1_abs=on:afp=20:amm=off:anc=all:bd=off:br=off:canc=force:s2a=on:sas=z3:slsq=on:urr=on:i=494:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/494Mi)
% 2.45/0.73  % (30912)lrs+30_1:64_flr=on:sp=frequency:to=lpo:i=213:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/213Mi)
% 2.45/0.73  % (30907)lrs+10_1:1_amm=sco:norm_ineq=on:nwc=3.0:plsq=on:plsqc=2:plsqr=32,1:sas=z3:sp=const_min:tha=off:to=lpo:i=146:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/146Mi)
% 2.45/0.74  % (30906)dis+10_1:1_aac=none:abs=on:bce=on:bd=off:bsr=unit_only:drc=off:fd=preordered:fsd=on:gve=cautious:lcm=reverse:nm=16:plsq=on:plsqc=1:plsqr=232,15:sfv=off:slsq=on:slsql=off:slsqr=3,2:sos=on:sp=weighted_frequency:i=81:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/81Mi)
% 2.45/0.75  % (30894)Instruction limit reached!
% 2.45/0.75  % (30894)------------------------------
% 2.45/0.75  % (30894)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.45/0.75  % (30894)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.45/0.75  % (30894)Termination reason: Unknown
% 2.45/0.75  % (30894)Termination phase: Saturation
% 2.45/0.75  
% 2.45/0.75  % (30894)Memory used [KB]: 6524
% 2.45/0.75  % (30894)Time elapsed: 0.170 s
% 2.45/0.75  % (30894)Instructions burned: 59 (million)
% 2.45/0.75  % (30894)------------------------------
% 2.45/0.75  % (30894)------------------------------
% 2.45/0.75  % (30910)lrs+1002_1:1_nm=0:sd=1:ss=axioms:urr=ec_only:i=330:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/330Mi)
% 2.45/0.75  % (30889)Instruction limit reached!
% 2.45/0.75  % (30889)------------------------------
% 2.45/0.75  % (30889)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.45/0.75  % (30889)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.45/0.75  % (30889)Termination reason: Unknown
% 2.45/0.75  % (30889)Termination phase: Saturation
% 2.45/0.75  
% 2.45/0.75  % (30889)Memory used [KB]: 6140
% 2.45/0.75  % (30889)Time elapsed: 0.171 s
% 2.45/0.75  % (30889)Instructions burned: 48 (million)
% 2.45/0.75  % (30889)------------------------------
% 2.45/0.75  % (30889)------------------------------
% 2.45/0.76  % (30911)lrs+11_1:1_erd=off:fs=off:fsr=off:norm_ineq=on:nwc=10.0:s2a=on:s2at=3.0:sas=z3:tha=some:i=294:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/294Mi)
% 2.59/0.77  % (30915)lrs+1011_1:1_br=off:fs=off:fsr=off:tha=off:urr=ec_only:i=488:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/488Mi)
% 2.59/0.77  % (30913)dis+1002_1:1_aac=none:abs=on:nicw=on:sac=on:sas=z3:tgt=ground:tha=some:to=lpo:i=374:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/374Mi)
% 2.59/0.77  % (30914)ins+10_1:32_fd=off:fs=off:fsr=off:igrr=4/7:igwr=on:urr=ec_only:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/500Mi)
% 2.59/0.81  % (30892)Instruction limit reached!
% 2.59/0.81  % (30892)------------------------------
% 2.59/0.81  % (30892)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.59/0.81  % (30891)First to succeed.
% 2.59/0.81  % (30895)Instruction limit reached!
% 2.59/0.81  % (30895)------------------------------
% 2.59/0.81  % (30895)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.59/0.81  % (30895)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.59/0.81  % (30895)Termination reason: Unknown
% 2.59/0.81  % (30895)Termination phase: Saturation
% 2.59/0.81  
% 2.59/0.81  % (30895)Memory used [KB]: 6140
% 2.59/0.81  % (30895)Time elapsed: 0.224 s
% 2.59/0.81  % (30895)Instructions burned: 98 (million)
% 2.59/0.81  % (30895)------------------------------
% 2.59/0.81  % (30895)------------------------------
% 2.59/0.81  % (30892)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.59/0.81  % (30892)Termination reason: Unknown
% 2.59/0.81  % (30892)Termination phase: Saturation
% 2.59/0.81  
% 2.59/0.81  % (30892)Memory used [KB]: 7036
% 2.59/0.81  % (30892)Time elapsed: 0.217 s
% 2.59/0.81  % (30892)Instructions burned: 101 (million)
% 2.59/0.81  % (30892)------------------------------
% 2.59/0.81  % (30892)------------------------------
% 2.59/0.82  % (30891)Refutation found. Thanks to Tanya!
% 2.59/0.82  % SZS status Theorem for theBenchmark
% 2.59/0.82  % SZS output start Proof for theBenchmark
% See solution above
% 2.59/0.82  % (30891)------------------------------
% 2.59/0.82  % (30891)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.59/0.82  % (30891)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.59/0.82  % (30891)Termination reason: Refutation
% 2.59/0.82  
% 2.59/0.82  % (30891)Memory used [KB]: 6268
% 2.59/0.82  % (30891)Time elapsed: 0.245 s
% 2.59/0.82  % (30891)Instructions burned: 124 (million)
% 2.59/0.82  % (30891)------------------------------
% 2.59/0.82  % (30891)------------------------------
% 2.59/0.82  % (30857)Success in time 0.472 s
%------------------------------------------------------------------------------