TSTP Solution File: SWW629_2 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : SWW629_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_sat --cores 0 -t %d %s

% Computer : n006.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 19:20:21 EDT 2022

% Result   : Theorem 3.16s 0.84s
% Output   : Refutation 3.16s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   19
%            Number of leaves      :   97
% Syntax   : Number of formulae    :  143 (  27 unt;  77 typ;   0 def)
%            Number of atoms       :  570 ( 214 equ)
%            Maximal formula atoms :   50 (   8 avg)
%            Number of connectives :  605 ( 101   ~;  91   |; 354   &)
%                                         (   5 <=>;  54  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   28 (   8 avg)
%            Maximal term depth    :    4 (   2 avg)
%            Number arithmetic     :   73 (  11 atm;  17 fun;  45 num;   0 var)
%            Number of types       :    8 (   6 usr;   1 ari)
%            Number of type conns  :   70 (  35   >;  35   *;   0   +;   0  <<)
%            Number of predicates  :    8 (   5 usr;   1 prp; 0-3 aty)
%            Number of functors    :   69 (  66 usr;  38 con; 0-5 aty)
%            Number of variables   :  231 ( 103   !; 128   ?; 231   :)

% 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 > elt1 ).

tff(func_def_35,type,
    sK1: list_elt > elt1 ).

tff(func_def_36,type,
    sK2: list_elt > elt1 ).

tff(func_def_37,type,
    sK3: list_elt > list_elt ).

tff(func_def_38,type,
    sK4: ( list_elt * list_elt ) > elt1 ).

tff(func_def_39,type,
    sK5: ( list_elt * list_elt ) > elt1 ).

tff(func_def_40,type,
    sK6: list_elt ).

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: list_elt ).

tff(func_def_45,type,
    sK11: list_elt ).

tff(func_def_46,type,
    sK12: bool1 ).

tff(func_def_47,type,
    sK13: list_elt ).

tff(func_def_48,type,
    sK14: list_elt ).

tff(func_def_49,type,
    sK15: list_elt ).

tff(func_def_50,type,
    sK16: ( uni * ty * uni ) > uni ).

tff(func_def_51,type,
    sK17: ( uni * ty * uni ) > uni ).

tff(func_def_52,type,
    sK18: ( elt1 * list_elt ) > elt1 ).

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

tff(func_def_54,type,
    sF20: uni ).

tff(func_def_55,type,
    sF21: list_elt ).

tff(func_def_56,type,
    sF22: uni ).

tff(func_def_57,type,
    sF23: uni ).

tff(func_def_58,type,
    sF24: uni ).

tff(func_def_59,type,
    sF25: uni ).

tff(func_def_60,type,
    sF26: uni ).

tff(func_def_61,type,
    sF27: uni ).

tff(func_def_62,type,
    sF28: $int ).

tff(func_def_63,type,
    sF29: $int ).

tff(func_def_64,type,
    sF30: $int ).

tff(func_def_65,type,
    sF31: $int ).

tff(func_def_66,type,
    sF32: uni ).

tff(func_def_67,type,
    sF33: uni ).

tff(func_def_68,type,
    sF34: uni ).

tff(func_def_69,type,
    sF35: uni ).

tff(func_def_70,type,
    sF36: $int ).

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(f2419,plain,
    $false,
    inference(subsumption_resolution,[],[f2418,f448]) ).

tff(f448,plain,
    ~ permut(elt,sF33,sF27),
    inference(subsumption_resolution,[],[f416,f317]) ).

tff(f317,plain,
    sorted1(sK15),
    inference(cnf_transformation,[],[f230]) ).

tff(f230,plain,
    ( ( tb2t(nil(elt)) = sK7 )
    & ( tb2t(nil(elt)) = sK8 )
    & permut(elt,infix_plpl(elt,infix_plpl(elt,t2tb(sK10),t2tb(sK11)),t2tb(sK9)),t2tb(sK6))
    & ( ( ( length2(elt,t2tb(sK10)) = $sum(length2(elt,t2tb(sK11)),1) )
        & ( 0 = length2(elt,t2tb(sK9)) ) )
      | ( length2(elt,t2tb(sK10)) = length2(elt,t2tb(sK11)) ) )
    & permut(elt,infix_plpl(elt,t2tb(sK10),t2tb(sK11)),t2tb(sK6))
    & sorted1(sK14)
    & sorted1(sK13)
    & ( tb2t(nil(elt)) = sK9 )
    & permut(elt,t2tb(sK14),t2tb(sK11))
    & sorted1(sK14)
    & ( ~ sorted1(sK15)
      | ~ permut(elt,t2tb(sK15),t2tb(sK6)) )
    & sorted1(sK15)
    & permut(elt,t2tb(sK15),infix_plpl(elt,t2tb(sK13),t2tb(sK14)))
    & permut(elt,t2tb(sK13),t2tb(sK10))
    & sorted1(sK13)
    & ( true1 = sK12 )
    & ( ( true1 = sK12 )
      | ( tb2t(nil(elt)) != sK9 ) )
    & ( ( tb2t(nil(elt)) = sK9 )
      | ( true1 != sK12 ) )
    & ( tb2t(nil(elt)) = sK9 )
    & $less(1,length2(elt,t2tb(sK6))) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13,sK14,sK15])],[f221,f229,f228,f227,f226,f225,f224,f223,f222]) ).

tff(f222,plain,
    ( ? [X0: list_elt] :
        ( ? [X1: list_elt] :
            ( ( tb2t(nil(elt)) = X1 )
            & ? [X2: list_elt] :
                ( ( tb2t(nil(elt)) = X2 )
                & ? [X3: list_elt,X4: list_elt,X5: list_elt] :
                    ( permut(elt,infix_plpl(elt,infix_plpl(elt,t2tb(X4),t2tb(X5)),t2tb(X3)),t2tb(X0))
                    & ( ( ( length2(elt,t2tb(X4)) = $sum(length2(elt,t2tb(X5)),1) )
                        & ( 0 = length2(elt,t2tb(X3)) ) )
                      | ( length2(elt,t2tb(X5)) = length2(elt,t2tb(X4)) ) )
                    & ? [X6: bool1] :
                        ( permut(elt,infix_plpl(elt,t2tb(X4),t2tb(X5)),t2tb(X0))
                        & ? [X7: list_elt] :
                            ( ? [X8: list_elt] :
                                ( sorted1(X8)
                                & sorted1(X7)
                                & ( tb2t(nil(elt)) = X3 )
                                & permut(elt,t2tb(X8),t2tb(X5))
                                & sorted1(X8)
                                & ? [X9: list_elt] :
                                    ( ( ~ sorted1(X9)
                                      | ~ permut(elt,t2tb(X9),t2tb(X0)) )
                                    & sorted1(X9)
                                    & permut(elt,t2tb(X9),infix_plpl(elt,t2tb(X7),t2tb(X8))) ) )
                            & permut(elt,t2tb(X7),t2tb(X4))
                            & sorted1(X7) )
                        & ( true1 = X6 )
                        & ( ( true1 = X6 )
                          | ( tb2t(nil(elt)) != X3 ) )
                        & ( ( tb2t(nil(elt)) = X3 )
                          | ( true1 != X6 ) )
                        & ( tb2t(nil(elt)) = X3 ) ) ) ) )
        & $less(1,length2(elt,t2tb(X0))) )
   => ( ? [X1: list_elt] :
          ( ( tb2t(nil(elt)) = X1 )
          & ? [X2: list_elt] :
              ( ( tb2t(nil(elt)) = X2 )
              & ? [X5: list_elt,X4: list_elt,X3: list_elt] :
                  ( permut(elt,infix_plpl(elt,infix_plpl(elt,t2tb(X4),t2tb(X5)),t2tb(X3)),t2tb(sK6))
                  & ( ( ( length2(elt,t2tb(X4)) = $sum(length2(elt,t2tb(X5)),1) )
                      & ( 0 = length2(elt,t2tb(X3)) ) )
                    | ( length2(elt,t2tb(X5)) = length2(elt,t2tb(X4)) ) )
                  & ? [X6: bool1] :
                      ( permut(elt,infix_plpl(elt,t2tb(X4),t2tb(X5)),t2tb(sK6))
                      & ? [X7: list_elt] :
                          ( ? [X8: list_elt] :
                              ( sorted1(X8)
                              & sorted1(X7)
                              & ( tb2t(nil(elt)) = X3 )
                              & permut(elt,t2tb(X8),t2tb(X5))
                              & sorted1(X8)
                              & ? [X9: list_elt] :
                                  ( ( ~ sorted1(X9)
                                    | ~ permut(elt,t2tb(X9),t2tb(sK6)) )
                                  & sorted1(X9)
                                  & permut(elt,t2tb(X9),infix_plpl(elt,t2tb(X7),t2tb(X8))) ) )
                          & permut(elt,t2tb(X7),t2tb(X4))
                          & sorted1(X7) )
                      & ( true1 = X6 )
                      & ( ( true1 = X6 )
                        | ( tb2t(nil(elt)) != X3 ) )
                      & ( ( tb2t(nil(elt)) = X3 )
                        | ( true1 != X6 ) )
                      & ( tb2t(nil(elt)) = X3 ) ) ) ) )
      & $less(1,length2(elt,t2tb(sK6))) ) ),
    introduced(choice_axiom,[]) ).

tff(f223,plain,
    ( ? [X1: list_elt] :
        ( ( tb2t(nil(elt)) = X1 )
        & ? [X2: list_elt] :
            ( ( tb2t(nil(elt)) = X2 )
            & ? [X5: list_elt,X4: list_elt,X3: list_elt] :
                ( permut(elt,infix_plpl(elt,infix_plpl(elt,t2tb(X4),t2tb(X5)),t2tb(X3)),t2tb(sK6))
                & ( ( ( length2(elt,t2tb(X4)) = $sum(length2(elt,t2tb(X5)),1) )
                    & ( 0 = length2(elt,t2tb(X3)) ) )
                  | ( length2(elt,t2tb(X5)) = length2(elt,t2tb(X4)) ) )
                & ? [X6: bool1] :
                    ( permut(elt,infix_plpl(elt,t2tb(X4),t2tb(X5)),t2tb(sK6))
                    & ? [X7: list_elt] :
                        ( ? [X8: list_elt] :
                            ( sorted1(X8)
                            & sorted1(X7)
                            & ( tb2t(nil(elt)) = X3 )
                            & permut(elt,t2tb(X8),t2tb(X5))
                            & sorted1(X8)
                            & ? [X9: list_elt] :
                                ( ( ~ sorted1(X9)
                                  | ~ permut(elt,t2tb(X9),t2tb(sK6)) )
                                & sorted1(X9)
                                & permut(elt,t2tb(X9),infix_plpl(elt,t2tb(X7),t2tb(X8))) ) )
                        & permut(elt,t2tb(X7),t2tb(X4))
                        & sorted1(X7) )
                    & ( true1 = X6 )
                    & ( ( true1 = X6 )
                      | ( tb2t(nil(elt)) != X3 ) )
                    & ( ( tb2t(nil(elt)) = X3 )
                      | ( true1 != X6 ) )
                    & ( tb2t(nil(elt)) = X3 ) ) ) ) )
   => ( ( tb2t(nil(elt)) = sK7 )
      & ? [X2: list_elt] :
          ( ( tb2t(nil(elt)) = X2 )
          & ? [X5: list_elt,X4: list_elt,X3: list_elt] :
              ( permut(elt,infix_plpl(elt,infix_plpl(elt,t2tb(X4),t2tb(X5)),t2tb(X3)),t2tb(sK6))
              & ( ( ( length2(elt,t2tb(X4)) = $sum(length2(elt,t2tb(X5)),1) )
                  & ( 0 = length2(elt,t2tb(X3)) ) )
                | ( length2(elt,t2tb(X5)) = length2(elt,t2tb(X4)) ) )
              & ? [X6: bool1] :
                  ( permut(elt,infix_plpl(elt,t2tb(X4),t2tb(X5)),t2tb(sK6))
                  & ? [X7: list_elt] :
                      ( ? [X8: list_elt] :
                          ( sorted1(X8)
                          & sorted1(X7)
                          & ( tb2t(nil(elt)) = X3 )
                          & permut(elt,t2tb(X8),t2tb(X5))
                          & sorted1(X8)
                          & ? [X9: list_elt] :
                              ( ( ~ sorted1(X9)
                                | ~ permut(elt,t2tb(X9),t2tb(sK6)) )
                              & sorted1(X9)
                              & permut(elt,t2tb(X9),infix_plpl(elt,t2tb(X7),t2tb(X8))) ) )
                      & permut(elt,t2tb(X7),t2tb(X4))
                      & sorted1(X7) )
                  & ( true1 = X6 )
                  & ( ( true1 = X6 )
                    | ( tb2t(nil(elt)) != X3 ) )
                  & ( ( tb2t(nil(elt)) = X3 )
                    | ( true1 != X6 ) )
                  & ( tb2t(nil(elt)) = X3 ) ) ) ) ) ),
    introduced(choice_axiom,[]) ).

tff(f224,plain,
    ( ? [X2: list_elt] :
        ( ( tb2t(nil(elt)) = X2 )
        & ? [X5: list_elt,X4: list_elt,X3: list_elt] :
            ( permut(elt,infix_plpl(elt,infix_plpl(elt,t2tb(X4),t2tb(X5)),t2tb(X3)),t2tb(sK6))
            & ( ( ( length2(elt,t2tb(X4)) = $sum(length2(elt,t2tb(X5)),1) )
                & ( 0 = length2(elt,t2tb(X3)) ) )
              | ( length2(elt,t2tb(X5)) = length2(elt,t2tb(X4)) ) )
            & ? [X6: bool1] :
                ( permut(elt,infix_plpl(elt,t2tb(X4),t2tb(X5)),t2tb(sK6))
                & ? [X7: list_elt] :
                    ( ? [X8: list_elt] :
                        ( sorted1(X8)
                        & sorted1(X7)
                        & ( tb2t(nil(elt)) = X3 )
                        & permut(elt,t2tb(X8),t2tb(X5))
                        & sorted1(X8)
                        & ? [X9: list_elt] :
                            ( ( ~ sorted1(X9)
                              | ~ permut(elt,t2tb(X9),t2tb(sK6)) )
                            & sorted1(X9)
                            & permut(elt,t2tb(X9),infix_plpl(elt,t2tb(X7),t2tb(X8))) ) )
                    & permut(elt,t2tb(X7),t2tb(X4))
                    & sorted1(X7) )
                & ( true1 = X6 )
                & ( ( true1 = X6 )
                  | ( tb2t(nil(elt)) != X3 ) )
                & ( ( tb2t(nil(elt)) = X3 )
                  | ( true1 != X6 ) )
                & ( tb2t(nil(elt)) = X3 ) ) ) )
   => ( ( tb2t(nil(elt)) = sK8 )
      & ? [X5: list_elt,X4: list_elt,X3: list_elt] :
          ( permut(elt,infix_plpl(elt,infix_plpl(elt,t2tb(X4),t2tb(X5)),t2tb(X3)),t2tb(sK6))
          & ( ( ( length2(elt,t2tb(X4)) = $sum(length2(elt,t2tb(X5)),1) )
              & ( 0 = length2(elt,t2tb(X3)) ) )
            | ( length2(elt,t2tb(X5)) = length2(elt,t2tb(X4)) ) )
          & ? [X6: bool1] :
              ( permut(elt,infix_plpl(elt,t2tb(X4),t2tb(X5)),t2tb(sK6))
              & ? [X7: list_elt] :
                  ( ? [X8: list_elt] :
                      ( sorted1(X8)
                      & sorted1(X7)
                      & ( tb2t(nil(elt)) = X3 )
                      & permut(elt,t2tb(X8),t2tb(X5))
                      & sorted1(X8)
                      & ? [X9: list_elt] :
                          ( ( ~ sorted1(X9)
                            | ~ permut(elt,t2tb(X9),t2tb(sK6)) )
                          & sorted1(X9)
                          & permut(elt,t2tb(X9),infix_plpl(elt,t2tb(X7),t2tb(X8))) ) )
                  & permut(elt,t2tb(X7),t2tb(X4))
                  & sorted1(X7) )
              & ( true1 = X6 )
              & ( ( true1 = X6 )
                | ( tb2t(nil(elt)) != X3 ) )
              & ( ( tb2t(nil(elt)) = X3 )
                | ( true1 != X6 ) )
              & ( tb2t(nil(elt)) = X3 ) ) ) ) ),
    introduced(choice_axiom,[]) ).

tff(f225,plain,
    ( ? [X5: list_elt,X4: list_elt,X3: list_elt] :
        ( permut(elt,infix_plpl(elt,infix_plpl(elt,t2tb(X4),t2tb(X5)),t2tb(X3)),t2tb(sK6))
        & ( ( ( length2(elt,t2tb(X4)) = $sum(length2(elt,t2tb(X5)),1) )
            & ( 0 = length2(elt,t2tb(X3)) ) )
          | ( length2(elt,t2tb(X5)) = length2(elt,t2tb(X4)) ) )
        & ? [X6: bool1] :
            ( permut(elt,infix_plpl(elt,t2tb(X4),t2tb(X5)),t2tb(sK6))
            & ? [X7: list_elt] :
                ( ? [X8: list_elt] :
                    ( sorted1(X8)
                    & sorted1(X7)
                    & ( tb2t(nil(elt)) = X3 )
                    & permut(elt,t2tb(X8),t2tb(X5))
                    & sorted1(X8)
                    & ? [X9: list_elt] :
                        ( ( ~ sorted1(X9)
                          | ~ permut(elt,t2tb(X9),t2tb(sK6)) )
                        & sorted1(X9)
                        & permut(elt,t2tb(X9),infix_plpl(elt,t2tb(X7),t2tb(X8))) ) )
                & permut(elt,t2tb(X7),t2tb(X4))
                & sorted1(X7) )
            & ( true1 = X6 )
            & ( ( true1 = X6 )
              | ( tb2t(nil(elt)) != X3 ) )
            & ( ( tb2t(nil(elt)) = X3 )
              | ( true1 != X6 ) )
            & ( tb2t(nil(elt)) = X3 ) ) )
   => ( permut(elt,infix_plpl(elt,infix_plpl(elt,t2tb(sK10),t2tb(sK11)),t2tb(sK9)),t2tb(sK6))
      & ( ( ( length2(elt,t2tb(sK10)) = $sum(length2(elt,t2tb(sK11)),1) )
          & ( 0 = length2(elt,t2tb(sK9)) ) )
        | ( length2(elt,t2tb(sK10)) = length2(elt,t2tb(sK11)) ) )
      & ? [X6: bool1] :
          ( permut(elt,infix_plpl(elt,t2tb(sK10),t2tb(sK11)),t2tb(sK6))
          & ? [X7: list_elt] :
              ( ? [X8: list_elt] :
                  ( sorted1(X8)
                  & sorted1(X7)
                  & ( tb2t(nil(elt)) = sK9 )
                  & permut(elt,t2tb(X8),t2tb(sK11))
                  & sorted1(X8)
                  & ? [X9: list_elt] :
                      ( ( ~ sorted1(X9)
                        | ~ permut(elt,t2tb(X9),t2tb(sK6)) )
                      & sorted1(X9)
                      & permut(elt,t2tb(X9),infix_plpl(elt,t2tb(X7),t2tb(X8))) ) )
              & permut(elt,t2tb(X7),t2tb(sK10))
              & sorted1(X7) )
          & ( true1 = X6 )
          & ( ( true1 = X6 )
            | ( tb2t(nil(elt)) != sK9 ) )
          & ( ( tb2t(nil(elt)) = sK9 )
            | ( true1 != X6 ) )
          & ( tb2t(nil(elt)) = sK9 ) ) ) ),
    introduced(choice_axiom,[]) ).

tff(f226,plain,
    ( ? [X6: bool1] :
        ( permut(elt,infix_plpl(elt,t2tb(sK10),t2tb(sK11)),t2tb(sK6))
        & ? [X7: list_elt] :
            ( ? [X8: list_elt] :
                ( sorted1(X8)
                & sorted1(X7)
                & ( tb2t(nil(elt)) = sK9 )
                & permut(elt,t2tb(X8),t2tb(sK11))
                & sorted1(X8)
                & ? [X9: list_elt] :
                    ( ( ~ sorted1(X9)
                      | ~ permut(elt,t2tb(X9),t2tb(sK6)) )
                    & sorted1(X9)
                    & permut(elt,t2tb(X9),infix_plpl(elt,t2tb(X7),t2tb(X8))) ) )
            & permut(elt,t2tb(X7),t2tb(sK10))
            & sorted1(X7) )
        & ( true1 = X6 )
        & ( ( true1 = X6 )
          | ( tb2t(nil(elt)) != sK9 ) )
        & ( ( tb2t(nil(elt)) = sK9 )
          | ( true1 != X6 ) )
        & ( tb2t(nil(elt)) = sK9 ) )
   => ( permut(elt,infix_plpl(elt,t2tb(sK10),t2tb(sK11)),t2tb(sK6))
      & ? [X7: list_elt] :
          ( ? [X8: list_elt] :
              ( sorted1(X8)
              & sorted1(X7)
              & ( tb2t(nil(elt)) = sK9 )
              & permut(elt,t2tb(X8),t2tb(sK11))
              & sorted1(X8)
              & ? [X9: list_elt] :
                  ( ( ~ sorted1(X9)
                    | ~ permut(elt,t2tb(X9),t2tb(sK6)) )
                  & sorted1(X9)
                  & permut(elt,t2tb(X9),infix_plpl(elt,t2tb(X7),t2tb(X8))) ) )
          & permut(elt,t2tb(X7),t2tb(sK10))
          & sorted1(X7) )
      & ( true1 = sK12 )
      & ( ( true1 = sK12 )
        | ( tb2t(nil(elt)) != sK9 ) )
      & ( ( tb2t(nil(elt)) = sK9 )
        | ( true1 != sK12 ) )
      & ( tb2t(nil(elt)) = sK9 ) ) ),
    introduced(choice_axiom,[]) ).

tff(f227,plain,
    ( ? [X7: list_elt] :
        ( ? [X8: list_elt] :
            ( sorted1(X8)
            & sorted1(X7)
            & ( tb2t(nil(elt)) = sK9 )
            & permut(elt,t2tb(X8),t2tb(sK11))
            & sorted1(X8)
            & ? [X9: list_elt] :
                ( ( ~ sorted1(X9)
                  | ~ permut(elt,t2tb(X9),t2tb(sK6)) )
                & sorted1(X9)
                & permut(elt,t2tb(X9),infix_plpl(elt,t2tb(X7),t2tb(X8))) ) )
        & permut(elt,t2tb(X7),t2tb(sK10))
        & sorted1(X7) )
   => ( ? [X8: list_elt] :
          ( sorted1(X8)
          & sorted1(sK13)
          & ( tb2t(nil(elt)) = sK9 )
          & permut(elt,t2tb(X8),t2tb(sK11))
          & sorted1(X8)
          & ? [X9: list_elt] :
              ( ( ~ sorted1(X9)
                | ~ permut(elt,t2tb(X9),t2tb(sK6)) )
              & sorted1(X9)
              & permut(elt,t2tb(X9),infix_plpl(elt,t2tb(sK13),t2tb(X8))) ) )
      & permut(elt,t2tb(sK13),t2tb(sK10))
      & sorted1(sK13) ) ),
    introduced(choice_axiom,[]) ).

tff(f228,plain,
    ( ? [X8: list_elt] :
        ( sorted1(X8)
        & sorted1(sK13)
        & ( tb2t(nil(elt)) = sK9 )
        & permut(elt,t2tb(X8),t2tb(sK11))
        & sorted1(X8)
        & ? [X9: list_elt] :
            ( ( ~ sorted1(X9)
              | ~ permut(elt,t2tb(X9),t2tb(sK6)) )
            & sorted1(X9)
            & permut(elt,t2tb(X9),infix_plpl(elt,t2tb(sK13),t2tb(X8))) ) )
   => ( sorted1(sK14)
      & sorted1(sK13)
      & ( tb2t(nil(elt)) = sK9 )
      & permut(elt,t2tb(sK14),t2tb(sK11))
      & sorted1(sK14)
      & ? [X9: list_elt] :
          ( ( ~ sorted1(X9)
            | ~ permut(elt,t2tb(X9),t2tb(sK6)) )
          & sorted1(X9)
          & permut(elt,t2tb(X9),infix_plpl(elt,t2tb(sK13),t2tb(sK14))) ) ) ),
    introduced(choice_axiom,[]) ).

tff(f229,plain,
    ( ? [X9: list_elt] :
        ( ( ~ sorted1(X9)
          | ~ permut(elt,t2tb(X9),t2tb(sK6)) )
        & sorted1(X9)
        & permut(elt,t2tb(X9),infix_plpl(elt,t2tb(sK13),t2tb(sK14))) )
   => ( ( ~ sorted1(sK15)
        | ~ permut(elt,t2tb(sK15),t2tb(sK6)) )
      & sorted1(sK15)
      & permut(elt,t2tb(sK15),infix_plpl(elt,t2tb(sK13),t2tb(sK14))) ) ),
    introduced(choice_axiom,[]) ).

tff(f221,plain,
    ? [X0: list_elt] :
      ( ? [X1: list_elt] :
          ( ( tb2t(nil(elt)) = X1 )
          & ? [X2: list_elt] :
              ( ( tb2t(nil(elt)) = X2 )
              & ? [X3: list_elt,X4: list_elt,X5: list_elt] :
                  ( permut(elt,infix_plpl(elt,infix_plpl(elt,t2tb(X4),t2tb(X5)),t2tb(X3)),t2tb(X0))
                  & ( ( ( length2(elt,t2tb(X4)) = $sum(length2(elt,t2tb(X5)),1) )
                      & ( 0 = length2(elt,t2tb(X3)) ) )
                    | ( length2(elt,t2tb(X5)) = length2(elt,t2tb(X4)) ) )
                  & ? [X6: bool1] :
                      ( permut(elt,infix_plpl(elt,t2tb(X4),t2tb(X5)),t2tb(X0))
                      & ? [X7: list_elt] :
                          ( ? [X8: list_elt] :
                              ( sorted1(X8)
                              & sorted1(X7)
                              & ( tb2t(nil(elt)) = X3 )
                              & permut(elt,t2tb(X8),t2tb(X5))
                              & sorted1(X8)
                              & ? [X9: list_elt] :
                                  ( ( ~ sorted1(X9)
                                    | ~ permut(elt,t2tb(X9),t2tb(X0)) )
                                  & sorted1(X9)
                                  & permut(elt,t2tb(X9),infix_plpl(elt,t2tb(X7),t2tb(X8))) ) )
                          & permut(elt,t2tb(X7),t2tb(X4))
                          & sorted1(X7) )
                      & ( true1 = X6 )
                      & ( ( true1 = X6 )
                        | ( tb2t(nil(elt)) != X3 ) )
                      & ( ( tb2t(nil(elt)) = X3 )
                        | ( true1 != X6 ) )
                      & ( tb2t(nil(elt)) = X3 ) ) ) ) )
      & $less(1,length2(elt,t2tb(X0))) ),
    inference(rectify,[],[f220]) ).

tff(f220,plain,
    ? [X0: list_elt] :
      ( ? [X1: list_elt] :
          ( ( tb2t(nil(elt)) = X1 )
          & ? [X2: list_elt] :
              ( ( tb2t(nil(elt)) = X2 )
              & ? [X4: list_elt,X3: list_elt,X5: list_elt] :
                  ( permut(elt,infix_plpl(elt,infix_plpl(elt,t2tb(X3),t2tb(X5)),t2tb(X4)),t2tb(X0))
                  & ( ( ( length2(elt,t2tb(X3)) = $sum(length2(elt,t2tb(X5)),1) )
                      & ( 0 = length2(elt,t2tb(X4)) ) )
                    | ( length2(elt,t2tb(X5)) = length2(elt,t2tb(X3)) ) )
                  & ? [X6: bool1] :
                      ( permut(elt,infix_plpl(elt,t2tb(X3),t2tb(X5)),t2tb(X0))
                      & ? [X7: list_elt] :
                          ( ? [X8: list_elt] :
                              ( sorted1(X8)
                              & sorted1(X7)
                              & ( tb2t(nil(elt)) = X4 )
                              & permut(elt,t2tb(X8),t2tb(X5))
                              & sorted1(X8)
                              & ? [X9: list_elt] :
                                  ( ( ~ sorted1(X9)
                                    | ~ permut(elt,t2tb(X9),t2tb(X0)) )
                                  & sorted1(X9)
                                  & permut(elt,t2tb(X9),infix_plpl(elt,t2tb(X7),t2tb(X8))) ) )
                          & permut(elt,t2tb(X7),t2tb(X3))
                          & sorted1(X7) )
                      & ( true1 = X6 )
                      & ( ( true1 = X6 )
                        | ( tb2t(nil(elt)) != X4 ) )
                      & ( ( tb2t(nil(elt)) = X4 )
                        | ( true1 != X6 ) )
                      & ( tb2t(nil(elt)) = X4 ) ) ) ) )
      & $less(1,length2(elt,t2tb(X0))) ),
    inference(flattening,[],[f219]) ).

tff(f219,plain,
    ? [X0: list_elt] :
      ( ? [X1: list_elt] :
          ( ( tb2t(nil(elt)) = X1 )
          & ? [X2: list_elt] :
              ( ( tb2t(nil(elt)) = X2 )
              & ? [X4: list_elt,X3: list_elt,X5: list_elt] :
                  ( permut(elt,infix_plpl(elt,infix_plpl(elt,t2tb(X3),t2tb(X5)),t2tb(X4)),t2tb(X0))
                  & ( ( ( length2(elt,t2tb(X3)) = $sum(length2(elt,t2tb(X5)),1) )
                      & ( 0 = length2(elt,t2tb(X4)) ) )
                    | ( length2(elt,t2tb(X5)) = length2(elt,t2tb(X3)) ) )
                  & ? [X6: bool1] :
                      ( permut(elt,infix_plpl(elt,t2tb(X3),t2tb(X5)),t2tb(X0))
                      & ? [X7: list_elt] :
                          ( ? [X8: list_elt] :
                              ( sorted1(X8)
                              & sorted1(X7)
                              & ( tb2t(nil(elt)) = X4 )
                              & permut(elt,t2tb(X8),t2tb(X5))
                              & sorted1(X8)
                              & ? [X9: list_elt] :
                                  ( ( ~ sorted1(X9)
                                    | ~ permut(elt,t2tb(X9),t2tb(X0)) )
                                  & sorted1(X9)
                                  & permut(elt,t2tb(X9),infix_plpl(elt,t2tb(X7),t2tb(X8))) ) )
                          & permut(elt,t2tb(X7),t2tb(X3))
                          & sorted1(X7) )
                      & ( true1 = X6 )
                      & ( ( true1 = X6 )
                        | ( tb2t(nil(elt)) != X4 ) )
                      & ( ( tb2t(nil(elt)) = X4 )
                        | ( true1 != X6 ) )
                      & ( tb2t(nil(elt)) = X4 ) ) ) ) )
      & $less(1,length2(elt,t2tb(X0))) ),
    inference(nnf_transformation,[],[f161]) ).

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

tff(f160,plain,
    ? [X0: list_elt] :
      ( ? [X1: list_elt] :
          ( ? [X2: list_elt] :
              ( ? [X4: list_elt,X3: list_elt,X5: list_elt] :
                  ( ? [X6: bool1] :
                      ( ? [X7: list_elt] :
                          ( ? [X8: list_elt] :
                              ( ? [X9: list_elt] :
                                  ( ( ~ sorted1(X9)
                                    | ~ permut(elt,t2tb(X9),t2tb(X0)) )
                                  & permut(elt,t2tb(X9),infix_plpl(elt,t2tb(X7),t2tb(X8)))
                                  & sorted1(X9) )
                              & sorted1(X7)
                              & sorted1(X8)
                              & ( tb2t(nil(elt)) = X4 )
                              & permut(elt,t2tb(X8),t2tb(X5))
                              & sorted1(X8) )
                          & sorted1(X7)
                          & permut(elt,t2tb(X7),t2tb(X3)) )
                      & permut(elt,infix_plpl(elt,t2tb(X3),t2tb(X5)),t2tb(X0))
                      & ( tb2t(nil(elt)) = X4 )
                      & ( true1 = X6 )
                      & ( ( true1 = X6 )
                      <=> ( tb2t(nil(elt)) = X4 ) ) )
                  & ( ( ( length2(elt,t2tb(X3)) = $sum(length2(elt,t2tb(X5)),1) )
                      & ( 0 = length2(elt,t2tb(X4)) ) )
                    | ( length2(elt,t2tb(X5)) = length2(elt,t2tb(X3)) ) )
                  & permut(elt,infix_plpl(elt,infix_plpl(elt,t2tb(X3),t2tb(X5)),t2tb(X4)),t2tb(X0)) )
              & ( tb2t(nil(elt)) = X2 ) )
          & ( tb2t(nil(elt)) = X1 ) )
      & $less(1,length2(elt,t2tb(X0))) ),
    inference(ennf_transformation,[],[f135]) ).

tff(f135,plain,
    ~ ! [X0: list_elt] :
        ( $less(1,length2(elt,t2tb(X0)))
       => ! [X1: list_elt] :
            ( ( tb2t(nil(elt)) = X1 )
           => ! [X2: list_elt] :
                ( ( tb2t(nil(elt)) = X2 )
               => ! [X4: list_elt,X3: list_elt,X5: list_elt] :
                    ( ( ( ( ( length2(elt,t2tb(X3)) = $sum(length2(elt,t2tb(X5)),1) )
                          & ( 0 = length2(elt,t2tb(X4)) ) )
                        | ( length2(elt,t2tb(X5)) = length2(elt,t2tb(X3)) ) )
                      & permut(elt,infix_plpl(elt,infix_plpl(elt,t2tb(X3),t2tb(X5)),t2tb(X4)),t2tb(X0)) )
                   => ! [X6: bool1] :
                        ( ( ( true1 = X6 )
                        <=> ( tb2t(nil(elt)) = X4 ) )
                       => ( ( true1 = X6 )
                         => ( ( tb2t(nil(elt)) = X4 )
                           => ( permut(elt,infix_plpl(elt,t2tb(X3),t2tb(X5)),t2tb(X0))
                             => ! [X7: list_elt] :
                                  ( ( sorted1(X7)
                                    & permut(elt,t2tb(X7),t2tb(X3)) )
                                 => ! [X8: list_elt] :
                                      ( ( permut(elt,t2tb(X8),t2tb(X5))
                                        & sorted1(X8) )
                                     => ( ( sorted1(X7)
                                          & sorted1(X8)
                                          & ( tb2t(nil(elt)) = X4 ) )
                                       => ! [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 )
               => ! [X24: list_elt,X25: list_elt,X23: list_elt] :
                    ( ( permut(elt,infix_plpl(elt,infix_plpl(elt,t2tb(X24),t2tb(X23)),t2tb(X25)),t2tb(X18))
                      & ( ( length2(elt,t2tb(X24)) = length2(elt,t2tb(X23)) )
                        | ( ( length2(elt,t2tb(X24)) = $sum(length2(elt,t2tb(X23)),1) )
                          & ( 0 = length2(elt,t2tb(X25)) ) ) ) )
                   => ! [X26: bool1] :
                        ( ( ( tb2t(nil(elt)) = X25 )
                        <=> ( true1 = X26 ) )
                       => ( ( true1 = X26 )
                         => ( ( tb2t(nil(elt)) = X25 )
                           => ( permut(elt,infix_plpl(elt,t2tb(X24),t2tb(X23)),t2tb(X18))
                             => ! [X27: list_elt] :
                                  ( ( sorted1(X27)
                                    & permut(elt,t2tb(X27),t2tb(X24)) )
                                 => ! [X28: list_elt] :
                                      ( ( sorted1(X28)
                                        & permut(elt,t2tb(X28),t2tb(X23)) )
                                     => ( ( ( tb2t(nil(elt)) = X25 )
                                          & sorted1(X28)
                                          & sorted1(X27) )
                                       => ! [X29: list_elt] :
                                            ( ( sorted1(X29)
                                              & permut(elt,t2tb(X29),infix_plpl(elt,t2tb(X27),t2tb(X28))) )
                                           => ( 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 )
             => ! [X24: list_elt,X25: list_elt,X23: list_elt] :
                  ( ( permut(elt,infix_plpl(elt,infix_plpl(elt,t2tb(X24),t2tb(X23)),t2tb(X25)),t2tb(X18))
                    & ( ( length2(elt,t2tb(X24)) = length2(elt,t2tb(X23)) )
                      | ( ( length2(elt,t2tb(X24)) = $sum(length2(elt,t2tb(X23)),1) )
                        & ( 0 = length2(elt,t2tb(X25)) ) ) ) )
                 => ! [X26: bool1] :
                      ( ( ( tb2t(nil(elt)) = X25 )
                      <=> ( true1 = X26 ) )
                     => ( ( true1 = X26 )
                       => ( ( tb2t(nil(elt)) = X25 )
                         => ( permut(elt,infix_plpl(elt,t2tb(X24),t2tb(X23)),t2tb(X18))
                           => ! [X27: list_elt] :
                                ( ( sorted1(X27)
                                  & permut(elt,t2tb(X27),t2tb(X24)) )
                               => ! [X28: list_elt] :
                                    ( ( sorted1(X28)
                                      & permut(elt,t2tb(X28),t2tb(X23)) )
                                   => ( ( ( tb2t(nil(elt)) = X25 )
                                        & sorted1(X28)
                                        & sorted1(X27) )
                                     => ! [X29: list_elt] :
                                          ( ( sorted1(X29)
                                            & permut(elt,t2tb(X29),infix_plpl(elt,t2tb(X27),t2tb(X28))) )
                                         => ( permut(elt,t2tb(X29),t2tb(X18))
                                            & sorted1(X29) ) ) ) ) ) ) ) ) ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',wP_parameter_mergesort) ).

tff(f416,plain,
    ( ~ sorted1(sK15)
    | ~ permut(elt,sF33,sF27) ),
    inference(definition_folding,[],[f318,f403,f415]) ).

tff(f415,plain,
    t2tb(sK15) = sF33,
    introduced(function_definition,[]) ).

tff(f403,plain,
    t2tb(sK6) = sF27,
    introduced(function_definition,[]) ).

tff(f318,plain,
    ( ~ sorted1(sK15)
    | ~ permut(elt,t2tb(sK15),t2tb(sK6)) ),
    inference(cnf_transformation,[],[f230]) ).

tff(f2418,plain,
    permut(elt,sF33,sF27),
    inference(resolution,[],[f2352,f385]) ).

tff(f385,plain,
    ! [X2: uni,X0: ty,X1: uni] :
      ( ~ permut(X0,X1,X2)
      | permut(X0,X2,X1) ),
    inference(cnf_transformation,[],[f265]) ).

tff(f265,plain,
    ! [X0: ty,X1: uni,X2: uni] :
      ( ~ permut(X0,X1,X2)
      | permut(X0,X2,X1) ),
    inference(rectify,[],[f177]) ).

tff(f177,plain,
    ! [X1: ty,X0: uni,X2: uni] :
      ( ~ permut(X1,X0,X2)
      | permut(X1,X2,X0) ),
    inference(ennf_transformation,[],[f146]) ).

tff(f146,plain,
    ! [X0: uni,X2: uni,X1: ty] :
      ( permut(X1,X0,X2)
     => permut(X1,X2,X0) ),
    inference(rectify,[],[f44]) ).

tff(f44,axiom,
    ! [X14: uni,X0: ty,X13: uni] :
      ( permut(X0,X14,X13)
     => permut(X0,X13,X14) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',permut_sym) ).

tff(f2352,plain,
    permut(elt,sF27,sF33),
    inference(resolution,[],[f2337,f1270]) ).

tff(f1270,plain,
    ! [X5: uni] :
      ( ~ permut(elt,X5,sF35)
      | permut(elt,X5,sF33) ),
    inference(resolution,[],[f372,f612]) ).

tff(f612,plain,
    permut(elt,sF35,sF33),
    inference(resolution,[],[f385,f419]) ).

tff(f419,plain,
    permut(elt,sF33,sF35),
    inference(definition_folding,[],[f316,f418,f413,f417,f415]) ).

tff(f417,plain,
    t2tb(sK13) = sF34,
    introduced(function_definition,[]) ).

tff(f413,plain,
    t2tb(sK14) = sF32,
    introduced(function_definition,[]) ).

tff(f418,plain,
    sF35 = infix_plpl(elt,sF34,sF32),
    introduced(function_definition,[]) ).

tff(f316,plain,
    permut(elt,t2tb(sK15),infix_plpl(elt,t2tb(sK13),t2tb(sK14))),
    inference(cnf_transformation,[],[f230]) ).

tff(f372,plain,
    ! [X2: uni,X3: uni,X0: uni,X1: ty] :
      ( ~ permut(X1,X0,X2)
      | ~ permut(X1,X3,X0)
      | permut(X1,X3,X2) ),
    inference(cnf_transformation,[],[f255]) ).

tff(f255,plain,
    ! [X0: uni,X1: ty,X2: uni,X3: uni] :
      ( ~ permut(X1,X0,X2)
      | ~ permut(X1,X3,X0)
      | permut(X1,X3,X2) ),
    inference(rectify,[],[f168]) ).

tff(f168,plain,
    ! [X0: uni,X1: ty,X3: uni,X2: uni] :
      ( ~ permut(X1,X0,X3)
      | ~ permut(X1,X2,X0)
      | permut(X1,X2,X3) ),
    inference(flattening,[],[f167]) ).

tff(f167,plain,
    ! [X1: ty,X3: uni,X2: uni,X0: uni] :
      ( permut(X1,X2,X3)
      | ~ permut(X1,X0,X3)
      | ~ permut(X1,X2,X0) ),
    inference(ennf_transformation,[],[f115]) ).

tff(f115,plain,
    ! [X1: ty,X3: uni,X2: uni,X0: uni] :
      ( permut(X1,X2,X0)
     => ( permut(X1,X0,X3)
       => permut(X1,X2,X3) ) ),
    inference(rectify,[],[f45]) ).

tff(f45,axiom,
    ! [X13: uni,X0: ty,X14: uni,X15: uni] :
      ( permut(X0,X14,X13)
     => ( permut(X0,X13,X15)
       => permut(X0,X14,X15) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',permut_trans) ).

tff(f2337,plain,
    permut(elt,sF27,sF35),
    inference(resolution,[],[f2309,f385]) ).

tff(f2309,plain,
    permut(elt,sF35,sF27),
    inference(resolution,[],[f2213,f1268]) ).

tff(f1268,plain,
    ! [X3: uni] :
      ( ~ permut(elt,X3,sF24)
      | permut(elt,X3,sF27) ),
    inference(resolution,[],[f372,f411]) ).

tff(f411,plain,
    permut(elt,sF24,sF27),
    inference(definition_folding,[],[f324,f403,f400,f399,f398]) ).

tff(f398,plain,
    sF22 = t2tb(sK10),
    introduced(function_definition,[]) ).

tff(f399,plain,
    t2tb(sK11) = sF23,
    introduced(function_definition,[]) ).

tff(f400,plain,
    infix_plpl(elt,sF22,sF23) = sF24,
    introduced(function_definition,[]) ).

tff(f324,plain,
    permut(elt,infix_plpl(elt,t2tb(sK10),t2tb(sK11)),t2tb(sK6)),
    inference(cnf_transformation,[],[f230]) ).

tff(f2213,plain,
    permut(elt,sF35,sF24),
    inference(forward_demodulation,[],[f2212,f418]) ).

tff(f2212,plain,
    permut(elt,infix_plpl(elt,sF34,sF32),sF24),
    inference(forward_demodulation,[],[f2190,f400]) ).

tff(f2190,plain,
    permut(elt,infix_plpl(elt,sF34,sF32),infix_plpl(elt,sF22,sF23)),
    inference(resolution,[],[f1717,f420]) ).

tff(f420,plain,
    permut(elt,sF34,sF22),
    inference(definition_folding,[],[f315,f398,f417]) ).

tff(f315,plain,
    permut(elt,t2tb(sK13),t2tb(sK10)),
    inference(cnf_transformation,[],[f230]) ).

tff(f1717,plain,
    ! [X2: uni,X3: uni] :
      ( ~ permut(elt,X2,X3)
      | permut(elt,infix_plpl(elt,X2,sF32),infix_plpl(elt,X3,sF23)) ),
    inference(resolution,[],[f304,f414]) ).

tff(f414,plain,
    permut(elt,sF32,sF23),
    inference(definition_folding,[],[f320,f399,f413]) ).

tff(f320,plain,
    permut(elt,t2tb(sK14),t2tb(sK11)),
    inference(cnf_transformation,[],[f230]) ).

tff(f304,plain,
    ! [X2: uni,X3: ty,X0: uni,X1: uni,X4: uni] :
      ( ~ permut(X3,X1,X2)
      | ~ permut(X3,X0,X4)
      | permut(X3,infix_plpl(X3,X0,X1),infix_plpl(X3,X4,X2)) ),
    inference(cnf_transformation,[],[f217]) ).

tff(f217,plain,
    ! [X0: uni,X1: uni,X2: uni,X3: ty,X4: uni] :
      ( permut(X3,infix_plpl(X3,X0,X1),infix_plpl(X3,X4,X2))
      | ~ permut(X3,X1,X2)
      | ~ permut(X3,X0,X4) ),
    inference(rectify,[],[f175]) ).

tff(f175,plain,
    ! [X2: uni,X0: uni,X4: uni,X1: ty,X3: uni] :
      ( permut(X1,infix_plpl(X1,X2,X0),infix_plpl(X1,X3,X4))
      | ~ permut(X1,X0,X4)
      | ~ permut(X1,X2,X3) ),
    inference(flattening,[],[f174]) ).

tff(f174,plain,
    ! [X2: uni,X1: ty,X0: uni,X4: uni,X3: uni] :
      ( permut(X1,infix_plpl(X1,X2,X0),infix_plpl(X1,X3,X4))
      | ~ permut(X1,X0,X4)
      | ~ permut(X1,X2,X3) ),
    inference(ennf_transformation,[],[f156]) ).

tff(f156,plain,
    ! [X2: uni,X1: ty,X0: uni,X4: uni,X3: uni] :
      ( permut(X1,X2,X3)
     => ( permut(X1,X0,X4)
       => permut(X1,infix_plpl(X1,X2,X0),infix_plpl(X1,X3,X4)) ) ),
    inference(rectify,[],[f50]) ).

tff(f50,axiom,
    ! [X13: uni,X0: ty,X14: 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/benchmark/theBenchmark.p',permut_append) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : SWW629=2 : TPTP v8.1.0. Released v6.1.0.
% 0.07/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.32  % Computer : n006.cluster.edu
% 0.13/0.32  % Model    : x86_64 x86_64
% 0.13/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.32  % Memory   : 8042.1875MB
% 0.13/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.32  % CPULimit   : 300
% 0.13/0.32  % WCLimit    : 300
% 0.13/0.32  % DateTime   : Tue Aug 30 20:54:39 EDT 2022
% 0.13/0.33  % CPUTime    : 
% 0.18/0.46  % (435)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.18/0.48  % (436)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.18/0.48  % (427)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.18/0.48  % (423)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/191324Mi)
% 0.18/0.49  % (428)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 0.18/0.49  % (423)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.18/0.50  % (439)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.18/0.50  % (444)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/176Mi)
% 0.18/0.50  % (423)Terminated due to inappropriate strategy.
% 0.18/0.50  % (423)------------------------------
% 0.18/0.50  % (423)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.50  % (423)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.50  % (423)Termination reason: Inappropriate
% 0.18/0.50  
% 0.18/0.50  % (423)Memory used [KB]: 1279
% 0.18/0.50  % (423)Time elapsed: 0.008 s
% 0.18/0.50  % (423)Instructions burned: 13 (million)
% 0.18/0.50  % (423)------------------------------
% 0.18/0.50  % (423)------------------------------
% 0.18/0.50  % (431)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.18/0.50  % (431)Instruction limit reached!
% 0.18/0.50  % (431)------------------------------
% 0.18/0.50  % (431)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.50  % (431)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.50  % (431)Termination reason: Unknown
% 0.18/0.50  % (431)Termination phase: Property scanning
% 0.18/0.50  % (452)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.18/0.50  
% 0.18/0.50  % (431)Memory used [KB]: 895
% 0.18/0.50  % (431)Time elapsed: 0.005 s
% 0.18/0.50  % (431)Instructions burned: 4 (million)
% 0.18/0.50  % (431)------------------------------
% 0.18/0.50  % (431)------------------------------
% 0.18/0.50  % (430)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.18/0.50  % (437)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.18/0.51  % (438)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 0.18/0.51  % (425)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.18/0.51  % (424)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.18/0.51  % (429)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.18/0.51  % (446)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 0.18/0.51  % (426)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.18/0.51  % (429)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.18/0.51  % (448)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.18/0.52  % (441)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.18/0.52  % (451)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/177Mi)
% 0.18/0.52  % (429)Terminated due to inappropriate strategy.
% 0.18/0.52  % (429)------------------------------
% 0.18/0.52  % (429)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.52  % (429)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.52  % (429)Termination reason: Inappropriate
% 0.18/0.52  
% 0.18/0.52  % (429)Memory used [KB]: 1151
% 0.18/0.52  % (429)Time elapsed: 0.008 s
% 0.18/0.52  % (429)Instructions burned: 11 (million)
% 0.18/0.52  % (429)------------------------------
% 0.18/0.52  % (429)------------------------------
% 0.18/0.52  % (447)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 0.18/0.52  % (453)ott+10_7:2_awrs=decay:awrsf=8:bd=preordered:drc=off:fd=preordered:fde=unused:fsr=off:slsq=on:slsqc=2:slsqr=5,8:sp=const_min:spb=units:to=lpo:i=355:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/355Mi)
% 0.18/0.52  % (440)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.18/0.52  % (433)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.18/0.52  % (449)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.18/0.53  % (430)Instruction limit reached!
% 0.18/0.53  % (430)------------------------------
% 0.18/0.53  % (430)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.53  % (430)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.53  % (430)Termination reason: Unknown
% 0.18/0.53  % (430)Termination phase: Preprocessing 3
% 0.18/0.53  
% 0.18/0.53  % (430)Memory used [KB]: 1151
% 0.18/0.53  % (430)Time elapsed: 0.005 s
% 0.18/0.53  % (430)Instructions burned: 7 (million)
% 0.18/0.53  % (430)------------------------------
% 0.18/0.53  % (430)------------------------------
% 0.18/0.53  % (450)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.18/0.53  % (432)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.18/0.53  % (442)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.18/0.53  % (445)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.18/0.53  % (434)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.18/0.55  % (440)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.18/0.55  % (440)Terminated due to inappropriate strategy.
% 0.18/0.55  % (440)------------------------------
% 0.18/0.55  % (440)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.55  % (440)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.55  % (440)Termination reason: Inappropriate
% 0.18/0.55  
% 0.18/0.55  % (440)Memory used [KB]: 1279
% 0.18/0.55  % (440)Time elapsed: 0.007 s
% 0.18/0.55  % (440)Instructions burned: 12 (million)
% 0.18/0.55  % (440)------------------------------
% 0.18/0.55  % (440)------------------------------
% 0.18/0.57  % (425)Instruction limit reached!
% 0.18/0.57  % (425)------------------------------
% 0.18/0.57  % (425)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.57  % (425)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.57  % (425)Termination reason: Unknown
% 0.18/0.57  % (425)Termination phase: Saturation
% 0.18/0.57  
% 0.18/0.57  % (425)Memory used [KB]: 1407
% 0.18/0.57  % (425)Time elapsed: 0.178 s
% 0.18/0.57  % (425)Instructions burned: 38 (million)
% 0.18/0.57  % (425)------------------------------
% 0.18/0.57  % (425)------------------------------
% 0.18/0.57  % (427)Instruction limit reached!
% 0.18/0.57  % (427)------------------------------
% 0.18/0.57  % (427)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.57  % (427)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.57  % (427)Termination reason: Unknown
% 0.18/0.57  % (427)Termination phase: Saturation
% 0.18/0.57  
% 0.18/0.57  % (427)Memory used [KB]: 6140
% 0.18/0.57  % (427)Time elapsed: 0.193 s
% 0.18/0.57  % (427)Instructions burned: 51 (million)
% 0.18/0.57  % (427)------------------------------
% 0.18/0.57  % (427)------------------------------
% 0.18/0.57  % (428)Instruction limit reached!
% 0.18/0.57  % (428)------------------------------
% 0.18/0.57  % (428)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.57  % (428)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.57  % (428)Termination reason: Unknown
% 0.18/0.57  % (428)Termination phase: Saturation
% 0.18/0.57  
% 0.18/0.57  % (428)Memory used [KB]: 6140
% 0.18/0.57  % (428)Time elapsed: 0.185 s
% 0.18/0.57  % (428)Instructions burned: 49 (million)
% 0.18/0.57  % (428)------------------------------
% 0.18/0.57  % (428)------------------------------
% 1.93/0.60  % (437)Instruction limit reached!
% 1.93/0.60  % (437)------------------------------
% 1.93/0.60  % (437)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.93/0.60  % (437)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.93/0.60  % (437)Termination reason: Unknown
% 1.93/0.60  % (437)Termination phase: Saturation
% 1.93/0.60  
% 1.93/0.60  % (437)Memory used [KB]: 6908
% 1.93/0.60  % (437)Time elapsed: 0.066 s
% 1.93/0.60  % (437)Instructions burned: 68 (million)
% 1.93/0.60  % (437)------------------------------
% 1.93/0.60  % (437)------------------------------
% 1.93/0.60  % (424)Instruction limit reached!
% 1.93/0.60  % (424)------------------------------
% 1.93/0.60  % (424)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.93/0.60  % (424)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.93/0.60  % (424)Termination reason: Unknown
% 1.93/0.60  % (424)Termination phase: Saturation
% 1.93/0.60  
% 1.93/0.60  % (424)Memory used [KB]: 6140
% 1.93/0.60  % (424)Time elapsed: 0.205 s
% 1.93/0.60  % (424)Instructions burned: 50 (million)
% 1.93/0.60  % (424)------------------------------
% 1.93/0.60  % (424)------------------------------
% 1.93/0.60  % (432)Instruction limit reached!
% 1.93/0.60  % (432)------------------------------
% 1.93/0.60  % (432)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.93/0.60  % (432)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.93/0.60  % (432)Termination reason: Unknown
% 1.93/0.60  % (432)Termination phase: Saturation
% 1.93/0.60  
% 1.93/0.60  % (432)Memory used [KB]: 1407
% 1.93/0.60  % (432)Time elapsed: 0.182 s
% 1.93/0.60  % (432)Instructions burned: 52 (million)
% 1.93/0.60  % (432)------------------------------
% 1.93/0.60  % (432)------------------------------
% 2.10/0.61  % (454)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=388:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/388Mi)
% 2.10/0.63  % (426)Instruction limit reached!
% 2.10/0.63  % (426)------------------------------
% 2.10/0.63  % (426)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.10/0.63  % (426)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.10/0.63  % (426)Termination reason: Unknown
% 2.10/0.63  % (426)Termination phase: Saturation
% 2.10/0.63  
% 2.10/0.63  % (426)Memory used [KB]: 6140
% 2.10/0.63  % (426)Time elapsed: 0.216 s
% 2.10/0.63  % (426)Instructions burned: 52 (million)
% 2.10/0.63  % (426)------------------------------
% 2.10/0.63  % (426)------------------------------
% 2.10/0.63  % (456)dis+22_1:128_bsd=on:rp=on:slsq=on:slsqc=1:slsqr=1,6:sp=frequency:spb=goal:thsq=on:thsqc=16:thsqd=1:thsql=off:i=90:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/90Mi)
% 2.29/0.63  % (433)Instruction limit reached!
% 2.29/0.63  % (433)------------------------------
% 2.29/0.63  % (433)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.29/0.63  % (433)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.29/0.63  % (433)Termination reason: Unknown
% 2.29/0.63  % (433)Termination phase: Saturation
% 2.29/0.63  
% 2.29/0.63  % (433)Memory used [KB]: 6396
% 2.29/0.63  % (433)Time elapsed: 0.238 s
% 2.29/0.63  % (433)Instructions burned: 51 (million)
% 2.29/0.63  % (433)------------------------------
% 2.29/0.63  % (433)------------------------------
% 2.29/0.63  % (438)Instruction limit reached!
% 2.29/0.63  % (438)------------------------------
% 2.29/0.63  % (438)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.29/0.63  % (438)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.29/0.63  % (438)Termination reason: Unknown
% 2.29/0.63  % (438)Termination phase: Saturation
% 2.29/0.63  
% 2.29/0.63  % (438)Memory used [KB]: 2174
% 2.29/0.63  % (438)Time elapsed: 0.214 s
% 2.29/0.63  % (438)Instructions burned: 75 (million)
% 2.29/0.63  % (438)------------------------------
% 2.29/0.63  % (438)------------------------------
% 2.29/0.63  % (450)Instruction limit reached!
% 2.29/0.63  % (450)------------------------------
% 2.29/0.63  % (450)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.29/0.63  % (450)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.29/0.63  % (450)Termination reason: Unknown
% 2.29/0.63  % (450)Termination phase: Saturation
% 2.29/0.63  
% 2.29/0.63  % (450)Memory used [KB]: 6908
% 2.29/0.63  % (450)Time elapsed: 0.039 s
% 2.29/0.63  % (450)Instructions burned: 68 (million)
% 2.29/0.63  % (450)------------------------------
% 2.29/0.63  % (450)------------------------------
% 2.29/0.64  % (439)Instruction limit reached!
% 2.29/0.64  % (439)------------------------------
% 2.29/0.64  % (439)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.29/0.64  % (439)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.29/0.64  % (439)Termination reason: Unknown
% 2.29/0.64  % (439)Termination phase: Saturation
% 2.29/0.64  
% 2.29/0.64  % (439)Memory used [KB]: 6396
% 2.29/0.64  % (439)Time elapsed: 0.249 s
% 2.29/0.64  % (439)Instructions burned: 101 (million)
% 2.29/0.64  % (439)------------------------------
% 2.29/0.64  % (439)------------------------------
% 2.29/0.64  % (455)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=211:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/211Mi)
% 2.29/0.64  % (435)Instruction limit reached!
% 2.29/0.64  % (435)------------------------------
% 2.29/0.64  % (435)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.29/0.64  % (435)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.29/0.64  % (435)Termination reason: Unknown
% 2.29/0.64  % (435)Termination phase: Saturation
% 2.29/0.64  
% 2.29/0.64  % (435)Memory used [KB]: 6780
% 2.29/0.64  % (435)Time elapsed: 0.247 s
% 2.29/0.64  % (435)Instructions burned: 102 (million)
% 2.29/0.64  % (435)------------------------------
% 2.29/0.64  % (435)------------------------------
% 2.29/0.65  % (436)Instruction limit reached!
% 2.29/0.65  % (436)------------------------------
% 2.29/0.65  % (436)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.29/0.65  % (436)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.29/0.65  % (436)Termination reason: Unknown
% 2.29/0.65  % (436)Termination phase: Saturation
% 2.29/0.65  
% 2.29/0.65  % (436)Memory used [KB]: 6780
% 2.29/0.65  % (436)Time elapsed: 0.256 s
% 2.29/0.65  % (436)Instructions burned: 99 (million)
% 2.29/0.65  % (436)------------------------------
% 2.29/0.65  % (436)------------------------------
% 2.29/0.65  % (442)Instruction limit reached!
% 2.29/0.65  % (442)------------------------------
% 2.29/0.65  % (442)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.29/0.65  % (442)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.29/0.65  % (442)Termination reason: Unknown
% 2.29/0.65  % (442)Termination phase: Saturation
% 2.29/0.65  
% 2.29/0.65  % (442)Memory used [KB]: 1407
% 2.29/0.65  % (442)Time elapsed: 0.244 s
% 2.29/0.65  % (442)Instructions burned: 102 (million)
% 2.29/0.65  % (442)------------------------------
% 2.29/0.65  % (442)------------------------------
% 2.29/0.67  % (457)ott+1_1:2_i=920:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/920Mi)
% 2.29/0.68  % (458)ott+1_1:7_bd=off:i=934:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/934Mi)
% 2.29/0.68  % (441)Instruction limit reached!
% 2.29/0.68  % (441)------------------------------
% 2.29/0.68  % (441)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.29/0.68  % (441)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.29/0.68  % (441)Termination reason: Unknown
% 2.29/0.68  % (441)Termination phase: Saturation
% 2.29/0.68  
% 2.29/0.68  % (441)Memory used [KB]: 6908
% 2.29/0.68  % (441)Time elapsed: 0.281 s
% 2.29/0.68  % (441)Instructions burned: 100 (million)
% 2.29/0.68  % (441)------------------------------
% 2.29/0.68  % (441)------------------------------
% 2.29/0.69  % (459)ott+10_1:50_bsr=unit_only:drc=off:fd=preordered:sp=frequency:i=747:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/747Mi)
% 2.29/0.70  % (434)Instruction limit reached!
% 2.29/0.70  % (434)------------------------------
% 2.29/0.70  % (434)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.29/0.70  % (434)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.29/0.70  % (434)Termination reason: Unknown
% 2.29/0.70  % (434)Termination phase: Saturation
% 2.29/0.70  
% 2.29/0.70  % (434)Memory used [KB]: 6780
% 2.29/0.70  % (434)Time elapsed: 0.323 s
% 2.29/0.70  % (434)Instructions burned: 101 (million)
% 2.29/0.70  % (434)------------------------------
% 2.29/0.70  % (434)------------------------------
% 2.29/0.71  % (462)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=940:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/940Mi)
% 2.29/0.71  % (461)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/68Mi)
% 2.29/0.72  % (460)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=655:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/655Mi)
% 2.29/0.72  % (444)Instruction limit reached!
% 2.29/0.72  % (444)------------------------------
% 2.29/0.72  % (444)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.29/0.72  % (444)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.29/0.72  % (444)Termination reason: Unknown
% 2.29/0.72  % (444)Termination phase: Saturation
% 2.29/0.72  
% 2.29/0.72  % (444)Memory used [KB]: 6012
% 2.29/0.72  % (444)Time elapsed: 0.262 s
% 2.29/0.72  % (444)Instructions burned: 176 (million)
% 2.29/0.72  % (444)------------------------------
% 2.29/0.72  % (444)------------------------------
% 2.90/0.73  WARNING Broken Constraint: if sine_depth(2) has been set then sine_selection(off) is not equal to off
% 2.90/0.73  % (463)ott+11_4:1_br=off:fde=none:s2a=on:sd=2:sp=frequency:urr=on:i=981:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/981Mi)
% 2.90/0.75  % (464)dis+22_1:128_bsd=on:rp=on:slsq=on:slsqc=1:slsqr=1,6:sp=frequency:spb=goal:thsq=on:thsqc=16:thsqd=1:thsql=off:i=90:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/90Mi)
% 2.90/0.75  % (456)Instruction limit reached!
% 2.90/0.75  % (456)------------------------------
% 2.90/0.75  % (456)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.90/0.76  % (465)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=2016:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/2016Mi)
% 2.90/0.76  % (456)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.90/0.76  % (456)Termination reason: Unknown
% 2.90/0.76  % (456)Termination phase: Saturation
% 2.90/0.76  
% 2.90/0.76  % (456)Memory used [KB]: 6780
% 2.90/0.76  % (456)Time elapsed: 0.163 s
% 2.90/0.76  % (456)Instructions burned: 91 (million)
% 2.90/0.76  % (456)------------------------------
% 2.90/0.76  % (456)------------------------------
% 2.90/0.77  % (469)ott+10_1:1_kws=precedence:tgt=ground:i=4756:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/4756Mi)
% 2.90/0.78  % (467)ott+11_9:8_add=large:afp=10:amm=off:fsd=on:fsr=off:lma=on:nm=0:nwc=2.4:s2a=on:s2agt=10:sas=z3:sp=reverse_arity:tha=some:thi=overlap:i=4958:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/4958Mi)
% 2.90/0.78  % (466)dis+10_1:2_atotf=0.3:i=3735:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/3735Mi)
% 2.90/0.79  % (472)ott+11_9:8_amm=off:bsd=on:etr=on:fsd=on:fsr=off:lma=on:newcnf=on:nm=0:nwc=3.0:s2a=on:s2agt=10:sas=z3:tha=some:i=1824:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/1824Mi)
% 3.16/0.79  % (470)ott+3_1:1_atotf=0.2:fsr=off:kws=precedence:sp=weighted_frequency:spb=intro:tgt=ground:i=4931:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/4931Mi)
% 3.16/0.80  % (445)Instruction limit reached!
% 3.16/0.80  % (445)------------------------------
% 3.16/0.80  % (445)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.16/0.80  % (445)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.16/0.80  % (445)Termination reason: Unknown
% 3.16/0.80  % (445)Termination phase: Saturation
% 3.16/0.80  
% 3.16/0.80  % (445)Memory used [KB]: 7547
% 3.16/0.80  % (445)Time elapsed: 0.394 s
% 3.16/0.80  % (445)Instructions burned: 138 (million)
% 3.16/0.80  % (445)------------------------------
% 3.16/0.80  % (445)------------------------------
% 3.16/0.80  % (471)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/68Mi)
% 3.16/0.80  % (468)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=4959:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/4959Mi)
% 3.16/0.81  % (451)First to succeed.
% 3.16/0.83  % (473)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=2134:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/2134Mi)
% 3.16/0.83  % (461)Instruction limit reached!
% 3.16/0.83  % (461)------------------------------
% 3.16/0.83  % (461)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.16/0.83  % (461)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.16/0.83  % (461)Termination reason: Unknown
% 3.16/0.83  % (461)Termination phase: Saturation
% 3.16/0.83  
% 3.16/0.83  % (461)Memory used [KB]: 6908
% 3.16/0.83  % (461)Time elapsed: 0.045 s
% 3.16/0.83  % (461)Instructions burned: 68 (million)
% 3.16/0.83  % (461)------------------------------
% 3.16/0.83  % (461)------------------------------
% 3.16/0.84  % (474)ott-1_1:1_sp=const_frequency:i=2891:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/2891Mi)
% 3.16/0.84  % (451)Refutation found. Thanks to Tanya!
% 3.16/0.84  % SZS status Theorem for theBenchmark
% 3.16/0.84  % SZS output start Proof for theBenchmark
% See solution above
% 3.16/0.84  % (451)------------------------------
% 3.16/0.84  % (451)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.16/0.84  % (451)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.16/0.84  % (451)Termination reason: Refutation
% 3.16/0.84  
% 3.16/0.84  % (451)Memory used [KB]: 3326
% 3.16/0.84  % (451)Time elapsed: 0.415 s
% 3.16/0.84  % (451)Instructions burned: 152 (million)
% 3.16/0.84  % (451)------------------------------
% 3.16/0.84  % (451)------------------------------
% 3.16/0.84  % (422)Success in time 0.493 s
%------------------------------------------------------------------------------