TSTP Solution File: SWW629_2 by Vampire---4.8

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%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SWW629_2 : TPTP v8.1.2. Released v6.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s

% Computer : n004.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 May  1 04:20:23 EDT 2024

% Result   : Theorem 0.71s 0.91s
% Output   : Refutation 0.71s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   16
%            Number of leaves      :   77
% Syntax   : Number of formulae    :  121 (   9 unt;  61 typ;   0 def)
%            Number of atoms       :  556 ( 194 equ)
%            Maximal formula atoms :   50 (   9 avg)
%            Number of connectives :  602 ( 106   ~;  99   |; 334   &)
%                                         (   9 <=>;  54  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   25 (   8 avg)
%            Maximal term depth    :    4 (   2 avg)
%            Number arithmetic     :   68 (  10 atm;  16 fun;  42 num;   0 var)
%            Number of types       :    8 (   6 usr;   1 ari)
%            Number of type conns  :   72 (  36   >;  36   *;   0   +;   0  <<)
%            Number of predicates  :   13 (  10 usr;   5 prp; 0-3 aty)
%            Number of functors    :   52 (  49 usr;  21 con; 0-5 aty)
%            Number of variables   :  209 (  90   !; 118   ?; 209   :)
%                                         (   1  !>;   0  ?*;   0  @-;   0  @+)

% 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,
    elt1: $tType ).

tff(type_def_10,type,
    list_elt: $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,
    length2: ( ty * uni ) > $int ).

tff(func_def_21,type,
    infix_plpl: ( ty * uni * uni ) > uni ).

tff(func_def_22,type,
    num_occ1: ( ty * uni * uni ) > $int ).

tff(func_def_23,type,
    reverse: ( ty * uni ) > uni ).

tff(func_def_24,type,
    t: ty > ty ).

tff(func_def_25,type,
    mk_t: ( ty * uni ) > uni ).

tff(func_def_26,type,
    elts: ( ty * uni ) > uni ).

tff(func_def_27,type,
    length3: ( ty * uni ) > $int ).

tff(func_def_28,type,
    elt: ty ).

tff(func_def_29,type,
    t2tb: list_elt > uni ).

tff(func_def_30,type,
    tb2t: uni > list_elt ).

tff(func_def_31,type,
    t2tb1: elt1 > uni ).

tff(func_def_32,type,
    tb2t1: uni > elt1 ).

tff(func_def_34,type,
    sK0: list_elt ).

tff(func_def_35,type,
    sK1: list_elt ).

tff(func_def_36,type,
    sK2: list_elt ).

tff(func_def_37,type,
    sK3: list_elt ).

tff(func_def_38,type,
    sK4: list_elt ).

tff(func_def_39,type,
    sK5: list_elt ).

tff(func_def_40,type,
    sK6: bool1 ).

tff(func_def_41,type,
    sK7: list_elt ).

tff(func_def_42,type,
    sK8: list_elt ).

tff(func_def_43,type,
    sK9: list_elt ).

tff(func_def_44,type,
    sK10: ( ty * uni * uni ) > uni ).

tff(func_def_45,type,
    sK11: ( list_elt * list_elt ) > elt1 ).

tff(func_def_46,type,
    sK12: ( list_elt * list_elt ) > elt1 ).

tff(func_def_47,type,
    sK13: ( elt1 * list_elt ) > elt1 ).

tff(func_def_48,type,
    sK14: list_elt > elt1 ).

tff(func_def_49,type,
    sK15: list_elt > elt1 ).

tff(func_def_50,type,
    sK16: list_elt > list_elt ).

tff(func_def_51,type,
    sK17: list_elt > elt1 ).

tff(func_def_52,type,
    sK18: ( ty * uni * uni ) > uni ).

tff(func_def_53,type,
    sK19: ( ty * uni * uni ) > uni ).

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

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

tff(pred_def_5,type,
    permut: ( ty * uni * uni ) > $o ).

tff(pred_def_6,type,
    le1: ( elt1 * elt1 ) > $o ).

tff(pred_def_7,type,
    sorted1: list_elt > $o ).

tff(pred_def_8,type,
    sQ20_eqProxy: 
      !>[X0: $tType] : ( ( X0 * X0 ) > $o ) ).

tff(f579,plain,
    $false,
    inference(avatar_sat_refutation,[],[f360,f361,f557,f564,f578]) ).

tff(f578,plain,
    spl21_9,
    inference(avatar_contradiction_clause,[],[f577]) ).

tff(f577,plain,
    ( $false
    | spl21_9 ),
    inference(subsumption_resolution,[],[f576,f208]) ).

tff(f208,plain,
    permut(elt,t2tb(sK8),t2tb(sK3)),
    inference(cnf_transformation,[],[f170]) ).

tff(f170,plain,
    ( ( ~ permut(elt,t2tb(sK9),t2tb(sK0))
      | ~ sorted1(sK9) )
    & permut(elt,t2tb(sK9),infix_plpl(elt,t2tb(sK7),t2tb(sK8)))
    & sorted1(sK9)
    & sorted1(sK8)
    & sorted1(sK7)
    & ( tb2t(nil(elt)) = sK5 )
    & permut(elt,t2tb(sK8),t2tb(sK3))
    & sorted1(sK8)
    & permut(elt,t2tb(sK7),t2tb(sK4))
    & sorted1(sK7)
    & permut(elt,infix_plpl(elt,t2tb(sK4),t2tb(sK3)),t2tb(sK0))
    & ( tb2t(nil(elt)) = sK5 )
    & ( true1 = sK6 )
    & ( ( true1 = sK6 )
      | ( tb2t(nil(elt)) != sK5 ) )
    & ( ( tb2t(nil(elt)) = sK5 )
      | ( true1 != sK6 ) )
    & ( ( ( length2(elt,t2tb(sK4)) = $sum(length2(elt,t2tb(sK3)),1) )
        & ( 0 = length2(elt,t2tb(sK5)) ) )
      | ( length2(elt,t2tb(sK4)) = length2(elt,t2tb(sK3)) ) )
    & permut(elt,infix_plpl(elt,infix_plpl(elt,t2tb(sK4),t2tb(sK3)),t2tb(sK5)),t2tb(sK0))
    & ( tb2t(nil(elt)) = sK2 )
    & ( tb2t(nil(elt)) = sK1 )
    & $less(1,length2(elt,t2tb(sK0))) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4,sK5,sK6,sK7,sK8,sK9])],[f161,f169,f168,f167,f166,f165,f164,f163,f162]) ).

tff(f162,plain,
    ( ? [X0: list_elt] :
        ( ? [X1: list_elt] :
            ( ? [X2: list_elt] :
                ( ? [X3: list_elt,X4: list_elt,X5: list_elt] :
                    ( ? [X6: bool1] :
                        ( ? [X7: list_elt] :
                            ( ? [X8: list_elt] :
                                ( ? [X9: list_elt] :
                                    ( ( ~ permut(elt,t2tb(X9),t2tb(X0))
                                      | ~ sorted1(X9) )
                                    & permut(elt,t2tb(X9),infix_plpl(elt,t2tb(X7),t2tb(X8)))
                                    & sorted1(X9) )
                                & sorted1(X8)
                                & sorted1(X7)
                                & ( tb2t(nil(elt)) = X5 )
                                & permut(elt,t2tb(X8),t2tb(X3))
                                & sorted1(X8) )
                            & permut(elt,t2tb(X7),t2tb(X4))
                            & sorted1(X7) )
                        & permut(elt,infix_plpl(elt,t2tb(X4),t2tb(X3)),t2tb(X0))
                        & ( tb2t(nil(elt)) = X5 )
                        & ( true1 = X6 )
                        & ( ( true1 = X6 )
                          | ( tb2t(nil(elt)) != X5 ) )
                        & ( ( tb2t(nil(elt)) = X5 )
                          | ( true1 != X6 ) ) )
                    & ( ( ( length2(elt,t2tb(X4)) = $sum(length2(elt,t2tb(X3)),1) )
                        & ( 0 = length2(elt,t2tb(X5)) ) )
                      | ( length2(elt,t2tb(X4)) = length2(elt,t2tb(X3)) ) )
                    & permut(elt,infix_plpl(elt,infix_plpl(elt,t2tb(X4),t2tb(X3)),t2tb(X5)),t2tb(X0)) )
                & ( tb2t(nil(elt)) = X2 ) )
            & ( tb2t(nil(elt)) = X1 ) )
        & $less(1,length2(elt,t2tb(X0))) )
   => ( ? [X1: list_elt] :
          ( ? [X2: list_elt] :
              ( ? [X5: list_elt,X4: list_elt,X3: list_elt] :
                  ( ? [X6: bool1] :
                      ( ? [X7: list_elt] :
                          ( ? [X8: list_elt] :
                              ( ? [X9: list_elt] :
                                  ( ( ~ permut(elt,t2tb(X9),t2tb(sK0))
                                    | ~ sorted1(X9) )
                                  & permut(elt,t2tb(X9),infix_plpl(elt,t2tb(X7),t2tb(X8)))
                                  & sorted1(X9) )
                              & sorted1(X8)
                              & sorted1(X7)
                              & ( tb2t(nil(elt)) = X5 )
                              & permut(elt,t2tb(X8),t2tb(X3))
                              & sorted1(X8) )
                          & permut(elt,t2tb(X7),t2tb(X4))
                          & sorted1(X7) )
                      & permut(elt,infix_plpl(elt,t2tb(X4),t2tb(X3)),t2tb(sK0))
                      & ( tb2t(nil(elt)) = X5 )
                      & ( true1 = X6 )
                      & ( ( true1 = X6 )
                        | ( tb2t(nil(elt)) != X5 ) )
                      & ( ( tb2t(nil(elt)) = X5 )
                        | ( true1 != X6 ) ) )
                  & ( ( ( length2(elt,t2tb(X4)) = $sum(length2(elt,t2tb(X3)),1) )
                      & ( 0 = length2(elt,t2tb(X5)) ) )
                    | ( length2(elt,t2tb(X4)) = length2(elt,t2tb(X3)) ) )
                  & permut(elt,infix_plpl(elt,infix_plpl(elt,t2tb(X4),t2tb(X3)),t2tb(X5)),t2tb(sK0)) )
              & ( tb2t(nil(elt)) = X2 ) )
          & ( tb2t(nil(elt)) = X1 ) )
      & $less(1,length2(elt,t2tb(sK0))) ) ),
    introduced(choice_axiom,[]) ).

tff(f163,plain,
    ( ? [X1: list_elt] :
        ( ? [X2: list_elt] :
            ( ? [X5: list_elt,X4: list_elt,X3: list_elt] :
                ( ? [X6: bool1] :
                    ( ? [X7: list_elt] :
                        ( ? [X8: list_elt] :
                            ( ? [X9: list_elt] :
                                ( ( ~ permut(elt,t2tb(X9),t2tb(sK0))
                                  | ~ sorted1(X9) )
                                & permut(elt,t2tb(X9),infix_plpl(elt,t2tb(X7),t2tb(X8)))
                                & sorted1(X9) )
                            & sorted1(X8)
                            & sorted1(X7)
                            & ( tb2t(nil(elt)) = X5 )
                            & permut(elt,t2tb(X8),t2tb(X3))
                            & sorted1(X8) )
                        & permut(elt,t2tb(X7),t2tb(X4))
                        & sorted1(X7) )
                    & permut(elt,infix_plpl(elt,t2tb(X4),t2tb(X3)),t2tb(sK0))
                    & ( tb2t(nil(elt)) = X5 )
                    & ( true1 = X6 )
                    & ( ( true1 = X6 )
                      | ( tb2t(nil(elt)) != X5 ) )
                    & ( ( tb2t(nil(elt)) = X5 )
                      | ( true1 != X6 ) ) )
                & ( ( ( length2(elt,t2tb(X4)) = $sum(length2(elt,t2tb(X3)),1) )
                    & ( 0 = length2(elt,t2tb(X5)) ) )
                  | ( length2(elt,t2tb(X4)) = length2(elt,t2tb(X3)) ) )
                & permut(elt,infix_plpl(elt,infix_plpl(elt,t2tb(X4),t2tb(X3)),t2tb(X5)),t2tb(sK0)) )
            & ( tb2t(nil(elt)) = X2 ) )
        & ( tb2t(nil(elt)) = X1 ) )
   => ( ? [X2: list_elt] :
          ( ? [X5: list_elt,X4: list_elt,X3: list_elt] :
              ( ? [X6: bool1] :
                  ( ? [X7: list_elt] :
                      ( ? [X8: list_elt] :
                          ( ? [X9: list_elt] :
                              ( ( ~ permut(elt,t2tb(X9),t2tb(sK0))
                                | ~ sorted1(X9) )
                              & permut(elt,t2tb(X9),infix_plpl(elt,t2tb(X7),t2tb(X8)))
                              & sorted1(X9) )
                          & sorted1(X8)
                          & sorted1(X7)
                          & ( tb2t(nil(elt)) = X5 )
                          & permut(elt,t2tb(X8),t2tb(X3))
                          & sorted1(X8) )
                      & permut(elt,t2tb(X7),t2tb(X4))
                      & sorted1(X7) )
                  & permut(elt,infix_plpl(elt,t2tb(X4),t2tb(X3)),t2tb(sK0))
                  & ( tb2t(nil(elt)) = X5 )
                  & ( true1 = X6 )
                  & ( ( true1 = X6 )
                    | ( tb2t(nil(elt)) != X5 ) )
                  & ( ( tb2t(nil(elt)) = X5 )
                    | ( true1 != X6 ) ) )
              & ( ( ( length2(elt,t2tb(X4)) = $sum(length2(elt,t2tb(X3)),1) )
                  & ( 0 = length2(elt,t2tb(X5)) ) )
                | ( length2(elt,t2tb(X4)) = length2(elt,t2tb(X3)) ) )
              & permut(elt,infix_plpl(elt,infix_plpl(elt,t2tb(X4),t2tb(X3)),t2tb(X5)),t2tb(sK0)) )
          & ( tb2t(nil(elt)) = X2 ) )
      & ( tb2t(nil(elt)) = sK1 ) ) ),
    introduced(choice_axiom,[]) ).

tff(f164,plain,
    ( ? [X2: list_elt] :
        ( ? [X5: list_elt,X4: list_elt,X3: list_elt] :
            ( ? [X6: bool1] :
                ( ? [X7: list_elt] :
                    ( ? [X8: list_elt] :
                        ( ? [X9: list_elt] :
                            ( ( ~ permut(elt,t2tb(X9),t2tb(sK0))
                              | ~ sorted1(X9) )
                            & permut(elt,t2tb(X9),infix_plpl(elt,t2tb(X7),t2tb(X8)))
                            & sorted1(X9) )
                        & sorted1(X8)
                        & sorted1(X7)
                        & ( tb2t(nil(elt)) = X5 )
                        & permut(elt,t2tb(X8),t2tb(X3))
                        & sorted1(X8) )
                    & permut(elt,t2tb(X7),t2tb(X4))
                    & sorted1(X7) )
                & permut(elt,infix_plpl(elt,t2tb(X4),t2tb(X3)),t2tb(sK0))
                & ( tb2t(nil(elt)) = X5 )
                & ( true1 = X6 )
                & ( ( true1 = X6 )
                  | ( tb2t(nil(elt)) != X5 ) )
                & ( ( tb2t(nil(elt)) = X5 )
                  | ( true1 != X6 ) ) )
            & ( ( ( length2(elt,t2tb(X4)) = $sum(length2(elt,t2tb(X3)),1) )
                & ( 0 = length2(elt,t2tb(X5)) ) )
              | ( length2(elt,t2tb(X4)) = length2(elt,t2tb(X3)) ) )
            & permut(elt,infix_plpl(elt,infix_plpl(elt,t2tb(X4),t2tb(X3)),t2tb(X5)),t2tb(sK0)) )
        & ( tb2t(nil(elt)) = X2 ) )
   => ( ? [X5: list_elt,X4: list_elt,X3: list_elt] :
          ( ? [X6: bool1] :
              ( ? [X7: list_elt] :
                  ( ? [X8: list_elt] :
                      ( ? [X9: list_elt] :
                          ( ( ~ permut(elt,t2tb(X9),t2tb(sK0))
                            | ~ sorted1(X9) )
                          & permut(elt,t2tb(X9),infix_plpl(elt,t2tb(X7),t2tb(X8)))
                          & sorted1(X9) )
                      & sorted1(X8)
                      & sorted1(X7)
                      & ( tb2t(nil(elt)) = X5 )
                      & permut(elt,t2tb(X8),t2tb(X3))
                      & sorted1(X8) )
                  & permut(elt,t2tb(X7),t2tb(X4))
                  & sorted1(X7) )
              & permut(elt,infix_plpl(elt,t2tb(X4),t2tb(X3)),t2tb(sK0))
              & ( tb2t(nil(elt)) = X5 )
              & ( true1 = X6 )
              & ( ( true1 = X6 )
                | ( tb2t(nil(elt)) != X5 ) )
              & ( ( tb2t(nil(elt)) = X5 )
                | ( true1 != X6 ) ) )
          & ( ( ( length2(elt,t2tb(X4)) = $sum(length2(elt,t2tb(X3)),1) )
              & ( 0 = length2(elt,t2tb(X5)) ) )
            | ( length2(elt,t2tb(X4)) = length2(elt,t2tb(X3)) ) )
          & permut(elt,infix_plpl(elt,infix_plpl(elt,t2tb(X4),t2tb(X3)),t2tb(X5)),t2tb(sK0)) )
      & ( tb2t(nil(elt)) = sK2 ) ) ),
    introduced(choice_axiom,[]) ).

tff(f165,plain,
    ( ? [X5: list_elt,X4: list_elt,X3: list_elt] :
        ( ? [X6: bool1] :
            ( ? [X7: list_elt] :
                ( ? [X8: list_elt] :
                    ( ? [X9: list_elt] :
                        ( ( ~ permut(elt,t2tb(X9),t2tb(sK0))
                          | ~ sorted1(X9) )
                        & permut(elt,t2tb(X9),infix_plpl(elt,t2tb(X7),t2tb(X8)))
                        & sorted1(X9) )
                    & sorted1(X8)
                    & sorted1(X7)
                    & ( tb2t(nil(elt)) = X5 )
                    & permut(elt,t2tb(X8),t2tb(X3))
                    & sorted1(X8) )
                & permut(elt,t2tb(X7),t2tb(X4))
                & sorted1(X7) )
            & permut(elt,infix_plpl(elt,t2tb(X4),t2tb(X3)),t2tb(sK0))
            & ( tb2t(nil(elt)) = X5 )
            & ( true1 = X6 )
            & ( ( true1 = X6 )
              | ( tb2t(nil(elt)) != X5 ) )
            & ( ( tb2t(nil(elt)) = X5 )
              | ( true1 != X6 ) ) )
        & ( ( ( length2(elt,t2tb(X4)) = $sum(length2(elt,t2tb(X3)),1) )
            & ( 0 = length2(elt,t2tb(X5)) ) )
          | ( length2(elt,t2tb(X4)) = length2(elt,t2tb(X3)) ) )
        & permut(elt,infix_plpl(elt,infix_plpl(elt,t2tb(X4),t2tb(X3)),t2tb(X5)),t2tb(sK0)) )
   => ( ? [X6: bool1] :
          ( ? [X7: list_elt] :
              ( ? [X8: list_elt] :
                  ( ? [X9: list_elt] :
                      ( ( ~ permut(elt,t2tb(X9),t2tb(sK0))
                        | ~ sorted1(X9) )
                      & permut(elt,t2tb(X9),infix_plpl(elt,t2tb(X7),t2tb(X8)))
                      & sorted1(X9) )
                  & sorted1(X8)
                  & sorted1(X7)
                  & ( tb2t(nil(elt)) = sK5 )
                  & permut(elt,t2tb(X8),t2tb(sK3))
                  & sorted1(X8) )
              & permut(elt,t2tb(X7),t2tb(sK4))
              & sorted1(X7) )
          & permut(elt,infix_plpl(elt,t2tb(sK4),t2tb(sK3)),t2tb(sK0))
          & ( tb2t(nil(elt)) = sK5 )
          & ( true1 = X6 )
          & ( ( true1 = X6 )
            | ( tb2t(nil(elt)) != sK5 ) )
          & ( ( tb2t(nil(elt)) = sK5 )
            | ( true1 != X6 ) ) )
      & ( ( ( length2(elt,t2tb(sK4)) = $sum(length2(elt,t2tb(sK3)),1) )
          & ( 0 = length2(elt,t2tb(sK5)) ) )
        | ( length2(elt,t2tb(sK4)) = length2(elt,t2tb(sK3)) ) )
      & permut(elt,infix_plpl(elt,infix_plpl(elt,t2tb(sK4),t2tb(sK3)),t2tb(sK5)),t2tb(sK0)) ) ),
    introduced(choice_axiom,[]) ).

tff(f166,plain,
    ( ? [X6: bool1] :
        ( ? [X7: list_elt] :
            ( ? [X8: list_elt] :
                ( ? [X9: list_elt] :
                    ( ( ~ permut(elt,t2tb(X9),t2tb(sK0))
                      | ~ sorted1(X9) )
                    & permut(elt,t2tb(X9),infix_plpl(elt,t2tb(X7),t2tb(X8)))
                    & sorted1(X9) )
                & sorted1(X8)
                & sorted1(X7)
                & ( tb2t(nil(elt)) = sK5 )
                & permut(elt,t2tb(X8),t2tb(sK3))
                & sorted1(X8) )
            & permut(elt,t2tb(X7),t2tb(sK4))
            & sorted1(X7) )
        & permut(elt,infix_plpl(elt,t2tb(sK4),t2tb(sK3)),t2tb(sK0))
        & ( tb2t(nil(elt)) = sK5 )
        & ( true1 = X6 )
        & ( ( true1 = X6 )
          | ( tb2t(nil(elt)) != sK5 ) )
        & ( ( tb2t(nil(elt)) = sK5 )
          | ( true1 != X6 ) ) )
   => ( ? [X7: list_elt] :
          ( ? [X8: list_elt] :
              ( ? [X9: list_elt] :
                  ( ( ~ permut(elt,t2tb(X9),t2tb(sK0))
                    | ~ sorted1(X9) )
                  & permut(elt,t2tb(X9),infix_plpl(elt,t2tb(X7),t2tb(X8)))
                  & sorted1(X9) )
              & sorted1(X8)
              & sorted1(X7)
              & ( tb2t(nil(elt)) = sK5 )
              & permut(elt,t2tb(X8),t2tb(sK3))
              & sorted1(X8) )
          & permut(elt,t2tb(X7),t2tb(sK4))
          & sorted1(X7) )
      & permut(elt,infix_plpl(elt,t2tb(sK4),t2tb(sK3)),t2tb(sK0))
      & ( tb2t(nil(elt)) = sK5 )
      & ( true1 = sK6 )
      & ( ( true1 = sK6 )
        | ( tb2t(nil(elt)) != sK5 ) )
      & ( ( tb2t(nil(elt)) = sK5 )
        | ( true1 != sK6 ) ) ) ),
    introduced(choice_axiom,[]) ).

tff(f167,plain,
    ( ? [X7: list_elt] :
        ( ? [X8: list_elt] :
            ( ? [X9: list_elt] :
                ( ( ~ permut(elt,t2tb(X9),t2tb(sK0))
                  | ~ sorted1(X9) )
                & permut(elt,t2tb(X9),infix_plpl(elt,t2tb(X7),t2tb(X8)))
                & sorted1(X9) )
            & sorted1(X8)
            & sorted1(X7)
            & ( tb2t(nil(elt)) = sK5 )
            & permut(elt,t2tb(X8),t2tb(sK3))
            & sorted1(X8) )
        & permut(elt,t2tb(X7),t2tb(sK4))
        & sorted1(X7) )
   => ( ? [X8: list_elt] :
          ( ? [X9: list_elt] :
              ( ( ~ permut(elt,t2tb(X9),t2tb(sK0))
                | ~ sorted1(X9) )
              & permut(elt,t2tb(X9),infix_plpl(elt,t2tb(sK7),t2tb(X8)))
              & sorted1(X9) )
          & sorted1(X8)
          & sorted1(sK7)
          & ( tb2t(nil(elt)) = sK5 )
          & permut(elt,t2tb(X8),t2tb(sK3))
          & sorted1(X8) )
      & permut(elt,t2tb(sK7),t2tb(sK4))
      & sorted1(sK7) ) ),
    introduced(choice_axiom,[]) ).

tff(f168,plain,
    ( ? [X8: list_elt] :
        ( ? [X9: list_elt] :
            ( ( ~ permut(elt,t2tb(X9),t2tb(sK0))
              | ~ sorted1(X9) )
            & permut(elt,t2tb(X9),infix_plpl(elt,t2tb(sK7),t2tb(X8)))
            & sorted1(X9) )
        & sorted1(X8)
        & sorted1(sK7)
        & ( tb2t(nil(elt)) = sK5 )
        & permut(elt,t2tb(X8),t2tb(sK3))
        & sorted1(X8) )
   => ( ? [X9: list_elt] :
          ( ( ~ permut(elt,t2tb(X9),t2tb(sK0))
            | ~ sorted1(X9) )
          & permut(elt,t2tb(X9),infix_plpl(elt,t2tb(sK7),t2tb(sK8)))
          & sorted1(X9) )
      & sorted1(sK8)
      & sorted1(sK7)
      & ( tb2t(nil(elt)) = sK5 )
      & permut(elt,t2tb(sK8),t2tb(sK3))
      & sorted1(sK8) ) ),
    introduced(choice_axiom,[]) ).

tff(f169,plain,
    ( ? [X9: list_elt] :
        ( ( ~ permut(elt,t2tb(X9),t2tb(sK0))
          | ~ sorted1(X9) )
        & permut(elt,t2tb(X9),infix_plpl(elt,t2tb(sK7),t2tb(sK8)))
        & sorted1(X9) )
   => ( ( ~ permut(elt,t2tb(sK9),t2tb(sK0))
        | ~ sorted1(sK9) )
      & permut(elt,t2tb(sK9),infix_plpl(elt,t2tb(sK7),t2tb(sK8)))
      & sorted1(sK9) ) ),
    introduced(choice_axiom,[]) ).

tff(f161,plain,
    ? [X0: list_elt] :
      ( ? [X1: list_elt] :
          ( ? [X2: list_elt] :
              ( ? [X3: list_elt,X4: list_elt,X5: list_elt] :
                  ( ? [X6: bool1] :
                      ( ? [X7: list_elt] :
                          ( ? [X8: list_elt] :
                              ( ? [X9: list_elt] :
                                  ( ( ~ permut(elt,t2tb(X9),t2tb(X0))
                                    | ~ sorted1(X9) )
                                  & permut(elt,t2tb(X9),infix_plpl(elt,t2tb(X7),t2tb(X8)))
                                  & sorted1(X9) )
                              & sorted1(X8)
                              & sorted1(X7)
                              & ( tb2t(nil(elt)) = X5 )
                              & permut(elt,t2tb(X8),t2tb(X3))
                              & sorted1(X8) )
                          & permut(elt,t2tb(X7),t2tb(X4))
                          & sorted1(X7) )
                      & permut(elt,infix_plpl(elt,t2tb(X4),t2tb(X3)),t2tb(X0))
                      & ( tb2t(nil(elt)) = X5 )
                      & ( true1 = X6 )
                      & ( ( true1 = X6 )
                        | ( tb2t(nil(elt)) != X5 ) )
                      & ( ( tb2t(nil(elt)) = X5 )
                        | ( true1 != X6 ) ) )
                  & ( ( ( length2(elt,t2tb(X4)) = $sum(length2(elt,t2tb(X3)),1) )
                      & ( 0 = length2(elt,t2tb(X5)) ) )
                    | ( length2(elt,t2tb(X4)) = length2(elt,t2tb(X3)) ) )
                  & permut(elt,infix_plpl(elt,infix_plpl(elt,t2tb(X4),t2tb(X3)),t2tb(X5)),t2tb(X0)) )
              & ( tb2t(nil(elt)) = X2 ) )
          & ( tb2t(nil(elt)) = X1 ) )
      & $less(1,length2(elt,t2tb(X0))) ),
    inference(flattening,[],[f160]) ).

tff(f160,plain,
    ? [X0: list_elt] :
      ( ? [X1: list_elt] :
          ( ? [X2: list_elt] :
              ( ? [X3: list_elt,X4: list_elt,X5: list_elt] :
                  ( ? [X6: bool1] :
                      ( ? [X7: list_elt] :
                          ( ? [X8: list_elt] :
                              ( ? [X9: list_elt] :
                                  ( ( ~ permut(elt,t2tb(X9),t2tb(X0))
                                    | ~ sorted1(X9) )
                                  & permut(elt,t2tb(X9),infix_plpl(elt,t2tb(X7),t2tb(X8)))
                                  & sorted1(X9) )
                              & sorted1(X8)
                              & sorted1(X7)
                              & ( tb2t(nil(elt)) = X5 )
                              & permut(elt,t2tb(X8),t2tb(X3))
                              & sorted1(X8) )
                          & permut(elt,t2tb(X7),t2tb(X4))
                          & sorted1(X7) )
                      & permut(elt,infix_plpl(elt,t2tb(X4),t2tb(X3)),t2tb(X0))
                      & ( tb2t(nil(elt)) = X5 )
                      & ( true1 = X6 )
                      & ( ( true1 = X6 )
                        | ( tb2t(nil(elt)) != X5 ) )
                      & ( ( tb2t(nil(elt)) = X5 )
                        | ( true1 != X6 ) ) )
                  & ( ( ( length2(elt,t2tb(X4)) = $sum(length2(elt,t2tb(X3)),1) )
                      & ( 0 = length2(elt,t2tb(X5)) ) )
                    | ( length2(elt,t2tb(X4)) = length2(elt,t2tb(X3)) ) )
                  & permut(elt,infix_plpl(elt,infix_plpl(elt,t2tb(X4),t2tb(X3)),t2tb(X5)),t2tb(X0)) )
              & ( tb2t(nil(elt)) = X2 ) )
          & ( tb2t(nil(elt)) = X1 ) )
      & $less(1,length2(elt,t2tb(X0))) ),
    inference(nnf_transformation,[],[f136]) ).

tff(f136,plain,
    ? [X0: list_elt] :
      ( ? [X1: list_elt] :
          ( ? [X2: list_elt] :
              ( ? [X3: list_elt,X4: list_elt,X5: list_elt] :
                  ( ? [X6: bool1] :
                      ( ? [X7: list_elt] :
                          ( ? [X8: list_elt] :
                              ( ? [X9: list_elt] :
                                  ( ( ~ permut(elt,t2tb(X9),t2tb(X0))
                                    | ~ sorted1(X9) )
                                  & permut(elt,t2tb(X9),infix_plpl(elt,t2tb(X7),t2tb(X8)))
                                  & sorted1(X9) )
                              & sorted1(X8)
                              & sorted1(X7)
                              & ( tb2t(nil(elt)) = X5 )
                              & permut(elt,t2tb(X8),t2tb(X3))
                              & sorted1(X8) )
                          & permut(elt,t2tb(X7),t2tb(X4))
                          & sorted1(X7) )
                      & permut(elt,infix_plpl(elt,t2tb(X4),t2tb(X3)),t2tb(X0))
                      & ( tb2t(nil(elt)) = X5 )
                      & ( true1 = X6 )
                      & ( ( true1 = X6 )
                      <=> ( tb2t(nil(elt)) = X5 ) ) )
                  & ( ( ( length2(elt,t2tb(X4)) = $sum(length2(elt,t2tb(X3)),1) )
                      & ( 0 = length2(elt,t2tb(X5)) ) )
                    | ( length2(elt,t2tb(X4)) = length2(elt,t2tb(X3)) ) )
                  & permut(elt,infix_plpl(elt,infix_plpl(elt,t2tb(X4),t2tb(X3)),t2tb(X5)),t2tb(X0)) )
              & ( tb2t(nil(elt)) = X2 ) )
          & ( tb2t(nil(elt)) = X1 ) )
      & $less(1,length2(elt,t2tb(X0))) ),
    inference(flattening,[],[f135]) ).

tff(f135,plain,
    ? [X0: list_elt] :
      ( ? [X1: list_elt] :
          ( ? [X2: list_elt] :
              ( ? [X3: list_elt,X4: list_elt,X5: list_elt] :
                  ( ? [X6: bool1] :
                      ( ? [X7: list_elt] :
                          ( ? [X8: list_elt] :
                              ( ? [X9: list_elt] :
                                  ( ( ~ permut(elt,t2tb(X9),t2tb(X0))
                                    | ~ sorted1(X9) )
                                  & permut(elt,t2tb(X9),infix_plpl(elt,t2tb(X7),t2tb(X8)))
                                  & sorted1(X9) )
                              & sorted1(X8)
                              & sorted1(X7)
                              & ( tb2t(nil(elt)) = X5 )
                              & permut(elt,t2tb(X8),t2tb(X3))
                              & sorted1(X8) )
                          & permut(elt,t2tb(X7),t2tb(X4))
                          & sorted1(X7) )
                      & permut(elt,infix_plpl(elt,t2tb(X4),t2tb(X3)),t2tb(X0))
                      & ( tb2t(nil(elt)) = X5 )
                      & ( true1 = X6 )
                      & ( ( true1 = X6 )
                      <=> ( tb2t(nil(elt)) = X5 ) ) )
                  & ( ( ( length2(elt,t2tb(X4)) = $sum(length2(elt,t2tb(X3)),1) )
                      & ( 0 = length2(elt,t2tb(X5)) ) )
                    | ( length2(elt,t2tb(X4)) = length2(elt,t2tb(X3)) ) )
                  & permut(elt,infix_plpl(elt,infix_plpl(elt,t2tb(X4),t2tb(X3)),t2tb(X5)),t2tb(X0)) )
              & ( tb2t(nil(elt)) = X2 ) )
          & ( tb2t(nil(elt)) = X1 ) )
      & $less(1,length2(elt,t2tb(X0))) ),
    inference(ennf_transformation,[],[f96]) ).

tff(f96,plain,
    ~ ! [X0: list_elt] :
        ( $less(1,length2(elt,t2tb(X0)))
       => ! [X1: list_elt] :
            ( ( tb2t(nil(elt)) = X1 )
           => ! [X2: list_elt] :
                ( ( tb2t(nil(elt)) = X2 )
               => ! [X3: list_elt,X4: list_elt,X5: list_elt] :
                    ( ( ( ( ( length2(elt,t2tb(X4)) = $sum(length2(elt,t2tb(X3)),1) )
                          & ( 0 = length2(elt,t2tb(X5)) ) )
                        | ( length2(elt,t2tb(X4)) = length2(elt,t2tb(X3)) ) )
                      & permut(elt,infix_plpl(elt,infix_plpl(elt,t2tb(X4),t2tb(X3)),t2tb(X5)),t2tb(X0)) )
                   => ! [X6: bool1] :
                        ( ( ( true1 = X6 )
                        <=> ( tb2t(nil(elt)) = X5 ) )
                       => ( ( true1 = X6 )
                         => ( ( tb2t(nil(elt)) = X5 )
                           => ( permut(elt,infix_plpl(elt,t2tb(X4),t2tb(X3)),t2tb(X0))
                             => ! [X7: list_elt] :
                                  ( ( permut(elt,t2tb(X7),t2tb(X4))
                                    & sorted1(X7) )
                                 => ! [X8: list_elt] :
                                      ( ( permut(elt,t2tb(X8),t2tb(X3))
                                        & sorted1(X8) )
                                     => ( ( sorted1(X8)
                                          & sorted1(X7)
                                          & ( tb2t(nil(elt)) = X5 ) )
                                       => ! [X9: list_elt] :
                                            ( ( permut(elt,t2tb(X9),infix_plpl(elt,t2tb(X7),t2tb(X8)))
                                              & sorted1(X9) )
                                           => ( permut(elt,t2tb(X9),t2tb(X0))
                                              & sorted1(X9) ) ) ) ) ) ) ) ) ) ) ) ) ),
    inference(rectify,[],[f75]) ).

tff(f75,negated_conjecture,
    ~ ! [X18: list_elt] :
        ( $less(1,length2(elt,t2tb(X18)))
       => ! [X21: list_elt] :
            ( ( tb2t(nil(elt)) = X21 )
           => ! [X22: list_elt] :
                ( ( tb2t(nil(elt)) = X22 )
               => ! [X23: list_elt,X24: list_elt,X25: list_elt] :
                    ( ( ( ( ( length2(elt,t2tb(X24)) = $sum(length2(elt,t2tb(X23)),1) )
                          & ( 0 = length2(elt,t2tb(X25)) ) )
                        | ( length2(elt,t2tb(X24)) = length2(elt,t2tb(X23)) ) )
                      & permut(elt,infix_plpl(elt,infix_plpl(elt,t2tb(X24),t2tb(X23)),t2tb(X25)),t2tb(X18)) )
                   => ! [X26: bool1] :
                        ( ( ( true1 = X26 )
                        <=> ( tb2t(nil(elt)) = X25 ) )
                       => ( ( true1 = X26 )
                         => ( ( tb2t(nil(elt)) = X25 )
                           => ( permut(elt,infix_plpl(elt,t2tb(X24),t2tb(X23)),t2tb(X18))
                             => ! [X27: list_elt] :
                                  ( ( permut(elt,t2tb(X27),t2tb(X24))
                                    & sorted1(X27) )
                                 => ! [X28: list_elt] :
                                      ( ( permut(elt,t2tb(X28),t2tb(X23))
                                        & sorted1(X28) )
                                     => ( ( sorted1(X28)
                                          & sorted1(X27)
                                          & ( tb2t(nil(elt)) = X25 ) )
                                       => ! [X29: list_elt] :
                                            ( ( permut(elt,t2tb(X29),infix_plpl(elt,t2tb(X27),t2tb(X28)))
                                              & sorted1(X29) )
                                           => ( permut(elt,t2tb(X29),t2tb(X18))
                                              & sorted1(X29) ) ) ) ) ) ) ) ) ) ) ) ) ),
    inference(negated_conjecture,[],[f74]) ).

tff(f74,conjecture,
    ! [X18: list_elt] :
      ( $less(1,length2(elt,t2tb(X18)))
     => ! [X21: list_elt] :
          ( ( tb2t(nil(elt)) = X21 )
         => ! [X22: list_elt] :
              ( ( tb2t(nil(elt)) = X22 )
             => ! [X23: list_elt,X24: list_elt,X25: list_elt] :
                  ( ( ( ( ( length2(elt,t2tb(X24)) = $sum(length2(elt,t2tb(X23)),1) )
                        & ( 0 = length2(elt,t2tb(X25)) ) )
                      | ( length2(elt,t2tb(X24)) = length2(elt,t2tb(X23)) ) )
                    & permut(elt,infix_plpl(elt,infix_plpl(elt,t2tb(X24),t2tb(X23)),t2tb(X25)),t2tb(X18)) )
                 => ! [X26: bool1] :
                      ( ( ( true1 = X26 )
                      <=> ( tb2t(nil(elt)) = X25 ) )
                     => ( ( true1 = X26 )
                       => ( ( tb2t(nil(elt)) = X25 )
                         => ( permut(elt,infix_plpl(elt,t2tb(X24),t2tb(X23)),t2tb(X18))
                           => ! [X27: list_elt] :
                                ( ( permut(elt,t2tb(X27),t2tb(X24))
                                  & sorted1(X27) )
                               => ! [X28: list_elt] :
                                    ( ( permut(elt,t2tb(X28),t2tb(X23))
                                      & sorted1(X28) )
                                   => ( ( sorted1(X28)
                                        & sorted1(X27)
                                        & ( tb2t(nil(elt)) = X25 ) )
                                     => ! [X29: list_elt] :
                                          ( ( permut(elt,t2tb(X29),infix_plpl(elt,t2tb(X27),t2tb(X28)))
                                            & sorted1(X29) )
                                         => ( permut(elt,t2tb(X29),t2tb(X18))
                                            & sorted1(X29) ) ) ) ) ) ) ) ) ) ) ) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.NZcEcckxfg/Vampire---4.8_2389',wP_parameter_mergesort) ).

tff(f576,plain,
    ( ~ permut(elt,t2tb(sK8),t2tb(sK3))
    | spl21_9 ),
    inference(resolution,[],[f556,f232]) ).

tff(f232,plain,
    ! [X2: uni,X0: ty,X1: uni] :
      ( permut(X0,X2,X1)
      | ~ permut(X0,X1,X2) ),
    inference(cnf_transformation,[],[f148]) ).

tff(f148,plain,
    ! [X0: ty,X1: uni,X2: uni] :
      ( permut(X0,X2,X1)
      | ~ permut(X0,X1,X2) ),
    inference(ennf_transformation,[],[f112]) ).

tff(f112,plain,
    ! [X0: ty,X1: uni,X2: uni] :
      ( permut(X0,X1,X2)
     => permut(X0,X2,X1) ),
    inference(rectify,[],[f44]) ).

tff(f44,axiom,
    ! [X0: ty,X14: uni,X13: uni] :
      ( permut(X0,X14,X13)
     => permut(X0,X13,X14) ),
    file('/export/starexec/sandbox2/tmp/tmp.NZcEcckxfg/Vampire---4.8_2389',permut_sym) ).

tff(f556,plain,
    ( ~ permut(elt,t2tb(sK3),t2tb(sK8))
    | spl21_9 ),
    inference(avatar_component_clause,[],[f554]) ).

tff(f554,plain,
    ( spl21_9
  <=> permut(elt,t2tb(sK3),t2tb(sK8)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_9])]) ).

tff(f564,plain,
    spl21_8,
    inference(avatar_contradiction_clause,[],[f563]) ).

tff(f563,plain,
    ( $false
    | spl21_8 ),
    inference(subsumption_resolution,[],[f562,f206]) ).

tff(f206,plain,
    permut(elt,t2tb(sK7),t2tb(sK4)),
    inference(cnf_transformation,[],[f170]) ).

tff(f562,plain,
    ( ~ permut(elt,t2tb(sK7),t2tb(sK4))
    | spl21_8 ),
    inference(resolution,[],[f552,f232]) ).

tff(f552,plain,
    ( ~ permut(elt,t2tb(sK4),t2tb(sK7))
    | spl21_8 ),
    inference(avatar_component_clause,[],[f550]) ).

tff(f550,plain,
    ( spl21_8
  <=> permut(elt,t2tb(sK4),t2tb(sK7)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_8])]) ).

tff(f557,plain,
    ( ~ spl21_8
    | ~ spl21_9
    | spl21_2 ),
    inference(avatar_split_clause,[],[f546,f357,f554,f550]) ).

tff(f357,plain,
    ( spl21_2
  <=> permut(elt,t2tb(sK9),t2tb(sK0)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_2])]) ).

tff(f546,plain,
    ( ~ permut(elt,t2tb(sK3),t2tb(sK8))
    | ~ permut(elt,t2tb(sK4),t2tb(sK7))
    | spl21_2 ),
    inference(resolution,[],[f526,f226]) ).

tff(f226,plain,
    ! [X2: uni,X3: uni,X0: ty,X1: uni,X4: uni] :
      ( permut(X0,infix_plpl(X0,X1,X2),infix_plpl(X0,X3,X4))
      | ~ permut(X0,X2,X4)
      | ~ permut(X0,X1,X3) ),
    inference(cnf_transformation,[],[f144]) ).

tff(f144,plain,
    ! [X0: ty,X1: uni,X2: uni,X3: uni,X4: uni] :
      ( permut(X0,infix_plpl(X0,X1,X2),infix_plpl(X0,X3,X4))
      | ~ permut(X0,X2,X4)
      | ~ permut(X0,X1,X3) ),
    inference(flattening,[],[f143]) ).

tff(f143,plain,
    ! [X0: ty,X1: uni,X2: uni,X3: uni,X4: uni] :
      ( permut(X0,infix_plpl(X0,X1,X2),infix_plpl(X0,X3,X4))
      | ~ permut(X0,X2,X4)
      | ~ permut(X0,X1,X3) ),
    inference(ennf_transformation,[],[f106]) ).

tff(f106,plain,
    ! [X0: ty,X1: uni,X2: uni,X3: uni,X4: uni] :
      ( permut(X0,X1,X3)
     => ( permut(X0,X2,X4)
       => permut(X0,infix_plpl(X0,X1,X2),infix_plpl(X0,X3,X4)) ) ),
    inference(rectify,[],[f50]) ).

tff(f50,axiom,
    ! [X0: ty,X14: uni,X13: uni,X16: uni,X17: uni] :
      ( permut(X0,X14,X16)
     => ( permut(X0,X13,X17)
       => permut(X0,infix_plpl(X0,X14,X13),infix_plpl(X0,X16,X17)) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.NZcEcckxfg/Vampire---4.8_2389',permut_append) ).

tff(f526,plain,
    ( ~ permut(elt,infix_plpl(elt,t2tb(sK4),t2tb(sK3)),infix_plpl(elt,t2tb(sK7),t2tb(sK8)))
    | spl21_2 ),
    inference(resolution,[],[f498,f204]) ).

tff(f204,plain,
    permut(elt,infix_plpl(elt,t2tb(sK4),t2tb(sK3)),t2tb(sK0)),
    inference(cnf_transformation,[],[f170]) ).

tff(f498,plain,
    ( ! [X0: uni] :
        ( ~ permut(elt,X0,t2tb(sK0))
        | ~ permut(elt,X0,infix_plpl(elt,t2tb(sK7),t2tb(sK8))) )
    | spl21_2 ),
    inference(resolution,[],[f459,f232]) ).

tff(f459,plain,
    ( ! [X0: uni] :
        ( ~ permut(elt,t2tb(sK0),X0)
        | ~ permut(elt,X0,infix_plpl(elt,t2tb(sK7),t2tb(sK8))) )
    | spl21_2 ),
    inference(resolution,[],[f447,f231]) ).

tff(f231,plain,
    ! [X2: uni,X3: uni,X0: ty,X1: uni] :
      ( permut(X0,X1,X3)
      | ~ permut(X0,X2,X3)
      | ~ permut(X0,X1,X2) ),
    inference(cnf_transformation,[],[f147]) ).

tff(f147,plain,
    ! [X0: ty,X1: uni,X2: uni,X3: uni] :
      ( permut(X0,X1,X3)
      | ~ permut(X0,X2,X3)
      | ~ permut(X0,X1,X2) ),
    inference(flattening,[],[f146]) ).

tff(f146,plain,
    ! [X0: ty,X1: uni,X2: uni,X3: uni] :
      ( permut(X0,X1,X3)
      | ~ permut(X0,X2,X3)
      | ~ permut(X0,X1,X2) ),
    inference(ennf_transformation,[],[f111]) ).

tff(f111,plain,
    ! [X0: ty,X1: uni,X2: uni,X3: uni] :
      ( permut(X0,X1,X2)
     => ( permut(X0,X2,X3)
       => permut(X0,X1,X3) ) ),
    inference(rectify,[],[f45]) ).

tff(f45,axiom,
    ! [X0: ty,X14: uni,X13: uni,X15: uni] :
      ( permut(X0,X14,X13)
     => ( permut(X0,X13,X15)
       => permut(X0,X14,X15) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.NZcEcckxfg/Vampire---4.8_2389',permut_trans) ).

tff(f447,plain,
    ( ~ permut(elt,t2tb(sK0),infix_plpl(elt,t2tb(sK7),t2tb(sK8)))
    | spl21_2 ),
    inference(forward_literal_rewriting,[],[f443,f232]) ).

tff(f443,plain,
    ( ~ permut(elt,infix_plpl(elt,t2tb(sK7),t2tb(sK8)),t2tb(sK0))
    | spl21_2 ),
    inference(resolution,[],[f441,f213]) ).

tff(f213,plain,
    permut(elt,t2tb(sK9),infix_plpl(elt,t2tb(sK7),t2tb(sK8))),
    inference(cnf_transformation,[],[f170]) ).

tff(f441,plain,
    ( ! [X0: uni] :
        ( ~ permut(elt,t2tb(sK9),X0)
        | ~ permut(elt,X0,t2tb(sK0)) )
    | spl21_2 ),
    inference(resolution,[],[f231,f359]) ).

tff(f359,plain,
    ( ~ permut(elt,t2tb(sK9),t2tb(sK0))
    | spl21_2 ),
    inference(avatar_component_clause,[],[f357]) ).

tff(f361,plain,
    spl21_1,
    inference(avatar_split_clause,[],[f212,f353]) ).

tff(f353,plain,
    ( spl21_1
  <=> sorted1(sK9) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_1])]) ).

tff(f212,plain,
    sorted1(sK9),
    inference(cnf_transformation,[],[f170]) ).

tff(f360,plain,
    ( ~ spl21_1
    | ~ spl21_2 ),
    inference(avatar_split_clause,[],[f214,f357,f353]) ).

tff(f214,plain,
    ( ~ permut(elt,t2tb(sK9),t2tb(sK0))
    | ~ sorted1(sK9) ),
    inference(cnf_transformation,[],[f170]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13  % Problem    : SWW629_2 : TPTP v8.1.2. Released v6.1.0.
% 0.15/0.15  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.15/0.36  % Computer : n004.cluster.edu
% 0.15/0.36  % Model    : x86_64 x86_64
% 0.15/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36  % Memory   : 8042.1875MB
% 0.15/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36  % CPULimit   : 300
% 0.15/0.36  % WCLimit    : 300
% 0.15/0.36  % DateTime   : Tue Apr 30 17:52:18 EDT 2024
% 0.22/0.36  % CPUTime    : 
% 0.22/0.36  This is a TF0_THM_EQU_ARI problem
% 0.22/0.37  Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox2/tmp/tmp.NZcEcckxfg/Vampire---4.8_2389
% 0.71/0.89  % (2597)dis-1011_2:1_sil=2000:lsd=20:nwc=5.0:flr=on:mep=off:st=3.0:i=34:sd=1:ep=RS:ss=axioms_0 on Vampire---4 for (2994ds/34Mi)
% 0.71/0.89  % (2598)lrs+1011_461:32768_sil=16000:irw=on:sp=frequency:lsd=20:fd=preordered:nwc=10.0:s2agt=32:alpa=false:cond=fast:s2a=on:i=51:s2at=3.0:awrs=decay:awrsf=691:bd=off:nm=20:fsr=off:amm=sco:uhcvi=on:rawr=on_0 on Vampire---4 for (2994ds/51Mi)
% 0.71/0.89  % (2600)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2994ds/33Mi)
% 0.71/0.89  % (2599)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2994ds/78Mi)
% 0.71/0.89  % (2601)lrs+2_1:1_sil=16000:fde=none:sos=all:nwc=5.0:i=34:ep=RS:s2pl=on:lma=on:afp=100000_0 on Vampire---4 for (2994ds/34Mi)
% 0.71/0.89  % (2602)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2994ds/45Mi)
% 0.71/0.89  % (2603)lrs+21_1:5_sil=2000:sos=on:urr=on:newcnf=on:slsq=on:i=83:slsql=off:bd=off:nm=2:ss=axioms:st=1.5:sp=const_min:gsp=on:rawr=on_0 on Vampire---4 for (2994ds/83Mi)
% 0.71/0.89  % (2604)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on Vampire---4 for (2994ds/56Mi)
% 0.71/0.90  % (2597)First to succeed.
% 0.71/0.91  % (2597)Refutation found. Thanks to Tanya!
% 0.71/0.91  % SZS status Theorem for Vampire---4
% 0.71/0.91  % SZS output start Proof for Vampire---4
% See solution above
% 0.71/0.91  % (2597)------------------------------
% 0.71/0.91  % (2597)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.71/0.91  % (2597)Termination reason: Refutation
% 0.71/0.91  
% 0.71/0.91  % (2597)Memory used [KB]: 1304
% 0.71/0.91  % (2597)Time elapsed: 0.018 s
% 0.71/0.91  % (2597)Instructions burned: 31 (million)
% 0.71/0.91  % (2597)------------------------------
% 0.71/0.91  % (2597)------------------------------
% 0.71/0.91  % (2559)Success in time 0.524 s
% 0.71/0.91  % Vampire---4.8 exiting
%------------------------------------------------------------------------------