TSTP Solution File: SWW654_2 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : SWW654_2 : TPTP v8.1.0. Released v6.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s

% Computer : n009.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Wed Aug 31 19:09:19 EDT 2022

% Result   : Theorem 7.22s 1.28s
% Output   : Refutation 7.22s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   18
%            Number of leaves      :  138
% Syntax   : Number of formulae    :  496 (  23 unt;  66 typ;   0 def)
%            Number of atoms       : 1692 ( 320 equ)
%            Maximal formula atoms :   54 (   3 avg)
%            Number of connectives : 2089 ( 827   ~; 857   |; 260   &)
%                                         (  52 <=>;  93  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   34 (   5 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number arithmetic     :  370 (  63 atm;   0 fun;   0 num; 307 var)
%            Number of types       :    8 (   6 usr;   1 ari)
%            Number of type conns  :   38 (  18   >;  20   *;   0   +;   0  <<)
%            Number of predicates  :   61 (  58 usr;  51 prp; 0-3 aty)
%            Number of functors    :   52 (  52 usr;  42 con; 0-5 aty)
%            Number of variables   :  655 ( 429   !; 226   ?; 655   :)

% 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,
    color1: $tType ).

tff(type_def_10,type,
    tree1: $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_10,type,
    color: ty ).

tff(func_def_11,type,
    red1: color1 ).

tff(func_def_12,type,
    black1: color1 ).

tff(func_def_13,type,
    match_color1: ( ty * color1 * uni * uni ) > uni ).

tff(func_def_14,type,
    tree: ty ).

tff(func_def_15,type,
    leaf1: tree1 ).

tff(func_def_16,type,
    node1: ( color1 * tree1 * $int * $int * tree1 ) > tree1 ).

tff(func_def_17,type,
    match_tree1: ( ty * tree1 * uni * uni ) > uni ).

tff(func_def_18,type,
    node_proj_11: tree1 > color1 ).

tff(func_def_19,type,
    node_proj_21: tree1 > tree1 ).

tff(func_def_20,type,
    node_proj_31: tree1 > $int ).

tff(func_def_21,type,
    node_proj_41: tree1 > $int ).

tff(func_def_22,type,
    node_proj_51: tree1 > tree1 ).

tff(func_def_29,type,
    sK0: $int ).

tff(func_def_30,type,
    sK1: tree1 ).

tff(func_def_31,type,
    sK2: $int ).

tff(func_def_32,type,
    sK3: tree1 ).

tff(func_def_33,type,
    sK4: color1 ).

tff(func_def_34,type,
    sK5: $int ).

tff(func_def_35,type,
    sK6: $int ).

tff(func_def_36,type,
    sK7: tree1 ).

tff(func_def_37,type,
    sK8: tree1 ).

tff(func_def_38,type,
    sK9: tree1 ).

tff(func_def_39,type,
    sK10: $int ).

tff(func_def_40,type,
    sK11: tree1 ).

tff(func_def_41,type,
    sK12: $int ).

tff(func_def_42,type,
    sK13: color1 ).

tff(func_def_43,type,
    sK14: $int ).

tff(func_def_44,type,
    sK15: tree1 ).

tff(func_def_45,type,
    sK16: tree1 ).

tff(func_def_46,type,
    sK17: $int ).

tff(func_def_47,type,
    sK18: color1 ).

tff(func_def_48,type,
    sK19: tree1 ).

tff(func_def_49,type,
    sK20: color1 ).

tff(func_def_50,type,
    sK21: $int ).

tff(func_def_51,type,
    sK22: $int ).

tff(func_def_52,type,
    sK23: tree1 ).

tff(func_def_53,type,
    sK24: tree1 ).

tff(func_def_54,type,
    sK25: color1 ).

tff(func_def_55,type,
    sK26: $int ).

tff(func_def_56,type,
    sK27: tree1 ).

tff(func_def_57,type,
    sK28: $int ).

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

tff(pred_def_2,type,
    memt1: ( tree1 * $int * $int ) > $o ).

tff(pred_def_4,type,
    lt_tree1: ( $int * tree1 ) > $o ).

tff(pred_def_6,type,
    gt_tree1: ( $int * tree1 ) > $o ).

tff(pred_def_7,type,
    bst1: tree1 > $o ).

tff(pred_def_8,type,
    is_not_red1: tree1 > $o ).

tff(pred_def_9,type,
    rbtree1: ( $int * tree1 ) > $o ).

tff(pred_def_10,type,
    almost_rbtree1: ( $int * tree1 ) > $o ).

tff(f3380,plain,
    $false,
    inference(avatar_sat_refutation,[],[f1507,f1571,f1574,f1682,f1734,f1829,f1834,f1855,f1904,f1953,f2040,f2228,f2281,f2299,f2306,f2372,f2373,f2378,f2473,f2503,f2521,f2526,f2533,f2538,f2546,f2631,f2677,f2727,f2764,f2789,f2811,f2814,f2879,f2884,f2893,f2912,f2931,f2963,f2976,f2977,f2984,f3075,f3079,f3090,f3095,f3190,f3201,f3336,f3350,f3361,f3366,f3379]) ).

tff(f3379,plain,
    ( ~ spl29_7
    | ~ spl29_8
    | ~ spl29_12
    | spl29_52 ),
    inference(avatar_contradiction_clause,[],[f3378]) ).

tff(f3378,plain,
    ( $false
    | ~ spl29_7
    | ~ spl29_8
    | ~ spl29_12
    | spl29_52 ),
    inference(subsumption_resolution,[],[f3377,f3162]) ).

tff(f3162,plain,
    ( gt_tree1(sK17,sK15)
    | ~ spl29_7
    | ~ spl29_8
    | ~ spl29_12 ),
    inference(subsumption_resolution,[],[f3154,f2569]) ).

tff(f2569,plain,
    ( bst1(sK8)
    | ~ spl29_7 ),
    inference(subsumption_resolution,[],[f2558,f159]) ).

tff(f159,plain,
    bst1(sK3),
    inference(cnf_transformation,[],[f137]) ).

tff(f137,plain,
    ( lt_tree1(sK2,sK3)
    & ( node1(sK4,sK8,sK6,sK5,sK7) = sK3 )
    & ( ( ( node1(sK13,sK11,sK10,sK12,sK9) = sK7 )
        & ( ( ( red1 = sK18 )
            & ( node1(sK18,sK16,sK17,sK14,sK15) = sK8 )
            & ( red1 = sK4 )
            & ~ bst1(node1(red1,node1(black1,sK16,sK17,sK14,sK15),sK6,sK5,node1(black1,sK7,sK2,sK0,sK1)))
            & ( black1 = sK13 ) )
          | ( ( ( ( leaf1 = sK8 )
                & ~ bst1(node1(red1,node1(black1,sK8,sK6,sK5,sK11),sK10,sK12,node1(black1,sK9,sK2,sK0,sK1)))
                & ( red1 = sK4 ) )
              | ( ( ( ~ bst1(node1(red1,node1(black1,sK23,sK22,sK21,sK19),sK6,sK5,node1(black1,sK7,sK2,sK0,sK1)))
                    & ( red1 = sK20 )
                    & ( red1 = sK4 ) )
                  | ( ( black1 = sK20 )
                    & ( red1 = sK4 )
                    & ~ bst1(node1(red1,node1(black1,sK8,sK6,sK5,sK11),sK10,sK12,node1(black1,sK9,sK2,sK0,sK1))) ) )
                & ( node1(sK20,sK23,sK22,sK21,sK19) = sK8 ) ) )
            & ( red1 = sK13 ) ) ) )
      | ( ( node1(sK25,sK24,sK26,sK28,sK27) = sK8 )
        & ( red1 = sK4 )
        & ( red1 = sK25 )
        & ~ bst1(node1(red1,node1(black1,sK24,sK26,sK28,sK27),sK6,sK5,node1(black1,sK7,sK2,sK0,sK1)))
        & ( leaf1 = sK7 ) ) )
    & bst1(sK1)
    & gt_tree1(sK2,sK1)
    & bst1(sK3) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4,sK5,sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13,sK14,sK15,sK16,sK17,sK18,sK19,sK20,sK21,sK22,sK23,sK24,sK25,sK26,sK27,sK28])],[f130,f136,f135,f134,f133,f132,f131]) ).

tff(f131,plain,
    ( ? [X0: $int,X1: tree1,X2: $int,X3: tree1] :
        ( lt_tree1(X2,X3)
        & ? [X4: color1,X5: $int,X6: $int,X7: tree1,X8: tree1] :
            ( ( node1(X4,X8,X6,X5,X7) = X3 )
            & ( ? [X9: tree1,X10: $int,X11: tree1,X12: $int,X13: color1] :
                  ( ( node1(X13,X11,X10,X12,X9) = X7 )
                  & ( ( ? [X14: $int,X15: tree1,X16: tree1,X17: $int,X18: color1] :
                          ( ( red1 = X18 )
                          & ( node1(X18,X16,X17,X14,X15) = X8 )
                          & ( red1 = X4 )
                          & ~ bst1(node1(red1,node1(black1,X16,X17,X14,X15),X6,X5,node1(black1,X7,X2,X0,X1))) )
                      & ( black1 = X13 ) )
                    | ( ( ( ( leaf1 = X8 )
                          & ~ bst1(node1(red1,node1(black1,X8,X6,X5,X11),X10,X12,node1(black1,X9,X2,X0,X1)))
                          & ( red1 = X4 ) )
                        | ? [X19: tree1,X20: color1,X21: $int,X22: $int,X23: tree1] :
                            ( ( ( ~ bst1(node1(red1,node1(black1,X23,X22,X21,X19),X6,X5,node1(black1,X7,X2,X0,X1)))
                                & ( red1 = X20 )
                                & ( red1 = X4 ) )
                              | ( ( black1 = X20 )
                                & ( red1 = X4 )
                                & ~ bst1(node1(red1,node1(black1,X8,X6,X5,X11),X10,X12,node1(black1,X9,X2,X0,X1))) ) )
                            & ( node1(X20,X23,X22,X21,X19) = X8 ) ) )
                      & ( red1 = X13 ) ) ) )
              | ( ? [X24: tree1,X25: color1,X26: $int,X27: tree1,X28: $int] :
                    ( ( node1(X25,X24,X26,X28,X27) = X8 )
                    & ( red1 = X4 )
                    & ( red1 = X25 )
                    & ~ bst1(node1(red1,node1(black1,X24,X26,X28,X27),X6,X5,node1(black1,X7,X2,X0,X1))) )
                & ( leaf1 = X7 ) ) ) )
        & bst1(X1)
        & gt_tree1(X2,X1)
        & bst1(X3) )
   => ( lt_tree1(sK2,sK3)
      & ? [X8: tree1,X7: tree1,X6: $int,X5: $int,X4: color1] :
          ( ( node1(X4,X8,X6,X5,X7) = sK3 )
          & ( ? [X13: color1,X12: $int,X11: tree1,X10: $int,X9: tree1] :
                ( ( node1(X13,X11,X10,X12,X9) = X7 )
                & ( ( ? [X18: color1,X17: $int,X16: tree1,X15: tree1,X14: $int] :
                        ( ( red1 = X18 )
                        & ( node1(X18,X16,X17,X14,X15) = X8 )
                        & ( red1 = X4 )
                        & ~ bst1(node1(red1,node1(black1,X16,X17,X14,X15),X6,X5,node1(black1,X7,sK2,sK0,sK1))) )
                    & ( black1 = X13 ) )
                  | ( ( ( ( leaf1 = X8 )
                        & ~ bst1(node1(red1,node1(black1,X8,X6,X5,X11),X10,X12,node1(black1,X9,sK2,sK0,sK1)))
                        & ( red1 = X4 ) )
                      | ? [X23: tree1,X22: $int,X21: $int,X20: color1,X19: tree1] :
                          ( ( ( ~ bst1(node1(red1,node1(black1,X23,X22,X21,X19),X6,X5,node1(black1,X7,sK2,sK0,sK1)))
                              & ( red1 = X20 )
                              & ( red1 = X4 ) )
                            | ( ( black1 = X20 )
                              & ( red1 = X4 )
                              & ~ bst1(node1(red1,node1(black1,X8,X6,X5,X11),X10,X12,node1(black1,X9,sK2,sK0,sK1))) ) )
                          & ( node1(X20,X23,X22,X21,X19) = X8 ) ) )
                    & ( red1 = X13 ) ) ) )
            | ( ? [X28: $int,X27: tree1,X26: $int,X25: color1,X24: tree1] :
                  ( ( node1(X25,X24,X26,X28,X27) = X8 )
                  & ( red1 = X4 )
                  & ( red1 = X25 )
                  & ~ bst1(node1(red1,node1(black1,X24,X26,X28,X27),X6,X5,node1(black1,X7,sK2,sK0,sK1))) )
              & ( leaf1 = X7 ) ) ) )
      & bst1(sK1)
      & gt_tree1(sK2,sK1)
      & bst1(sK3) ) ),
    introduced(choice_axiom,[]) ).

tff(f132,plain,
    ( ? [X8: tree1,X7: tree1,X6: $int,X5: $int,X4: color1] :
        ( ( node1(X4,X8,X6,X5,X7) = sK3 )
        & ( ? [X13: color1,X12: $int,X11: tree1,X10: $int,X9: tree1] :
              ( ( node1(X13,X11,X10,X12,X9) = X7 )
              & ( ( ? [X18: color1,X17: $int,X16: tree1,X15: tree1,X14: $int] :
                      ( ( red1 = X18 )
                      & ( node1(X18,X16,X17,X14,X15) = X8 )
                      & ( red1 = X4 )
                      & ~ bst1(node1(red1,node1(black1,X16,X17,X14,X15),X6,X5,node1(black1,X7,sK2,sK0,sK1))) )
                  & ( black1 = X13 ) )
                | ( ( ( ( leaf1 = X8 )
                      & ~ bst1(node1(red1,node1(black1,X8,X6,X5,X11),X10,X12,node1(black1,X9,sK2,sK0,sK1)))
                      & ( red1 = X4 ) )
                    | ? [X23: tree1,X22: $int,X21: $int,X20: color1,X19: tree1] :
                        ( ( ( ~ bst1(node1(red1,node1(black1,X23,X22,X21,X19),X6,X5,node1(black1,X7,sK2,sK0,sK1)))
                            & ( red1 = X20 )
                            & ( red1 = X4 ) )
                          | ( ( black1 = X20 )
                            & ( red1 = X4 )
                            & ~ bst1(node1(red1,node1(black1,X8,X6,X5,X11),X10,X12,node1(black1,X9,sK2,sK0,sK1))) ) )
                        & ( node1(X20,X23,X22,X21,X19) = X8 ) ) )
                  & ( red1 = X13 ) ) ) )
          | ( ? [X28: $int,X27: tree1,X26: $int,X25: color1,X24: tree1] :
                ( ( node1(X25,X24,X26,X28,X27) = X8 )
                & ( red1 = X4 )
                & ( red1 = X25 )
                & ~ bst1(node1(red1,node1(black1,X24,X26,X28,X27),X6,X5,node1(black1,X7,sK2,sK0,sK1))) )
            & ( leaf1 = X7 ) ) ) )
   => ( ( node1(sK4,sK8,sK6,sK5,sK7) = sK3 )
      & ( ? [X13: color1,X12: $int,X11: tree1,X10: $int,X9: tree1] :
            ( ( node1(X13,X11,X10,X12,X9) = sK7 )
            & ( ( ? [X18: color1,X17: $int,X16: tree1,X15: tree1,X14: $int] :
                    ( ( red1 = X18 )
                    & ( node1(X18,X16,X17,X14,X15) = sK8 )
                    & ( red1 = sK4 )
                    & ~ bst1(node1(red1,node1(black1,X16,X17,X14,X15),sK6,sK5,node1(black1,sK7,sK2,sK0,sK1))) )
                & ( black1 = X13 ) )
              | ( ( ( ( leaf1 = sK8 )
                    & ~ bst1(node1(red1,node1(black1,sK8,sK6,sK5,X11),X10,X12,node1(black1,X9,sK2,sK0,sK1)))
                    & ( red1 = sK4 ) )
                  | ? [X23: tree1,X22: $int,X21: $int,X20: color1,X19: tree1] :
                      ( ( ( ~ bst1(node1(red1,node1(black1,X23,X22,X21,X19),sK6,sK5,node1(black1,sK7,sK2,sK0,sK1)))
                          & ( red1 = X20 )
                          & ( red1 = sK4 ) )
                        | ( ( black1 = X20 )
                          & ( red1 = sK4 )
                          & ~ bst1(node1(red1,node1(black1,sK8,sK6,sK5,X11),X10,X12,node1(black1,X9,sK2,sK0,sK1))) ) )
                      & ( node1(X20,X23,X22,X21,X19) = sK8 ) ) )
                & ( red1 = X13 ) ) ) )
        | ( ? [X28: $int,X27: tree1,X26: $int,X25: color1,X24: tree1] :
              ( ( node1(X25,X24,X26,X28,X27) = sK8 )
              & ( red1 = sK4 )
              & ( red1 = X25 )
              & ~ bst1(node1(red1,node1(black1,X24,X26,X28,X27),sK6,sK5,node1(black1,sK7,sK2,sK0,sK1))) )
          & ( leaf1 = sK7 ) ) ) ) ),
    introduced(choice_axiom,[]) ).

tff(f133,plain,
    ( ? [X13: color1,X12: $int,X11: tree1,X10: $int,X9: tree1] :
        ( ( node1(X13,X11,X10,X12,X9) = sK7 )
        & ( ( ? [X18: color1,X17: $int,X16: tree1,X15: tree1,X14: $int] :
                ( ( red1 = X18 )
                & ( node1(X18,X16,X17,X14,X15) = sK8 )
                & ( red1 = sK4 )
                & ~ bst1(node1(red1,node1(black1,X16,X17,X14,X15),sK6,sK5,node1(black1,sK7,sK2,sK0,sK1))) )
            & ( black1 = X13 ) )
          | ( ( ( ( leaf1 = sK8 )
                & ~ bst1(node1(red1,node1(black1,sK8,sK6,sK5,X11),X10,X12,node1(black1,X9,sK2,sK0,sK1)))
                & ( red1 = sK4 ) )
              | ? [X23: tree1,X22: $int,X21: $int,X20: color1,X19: tree1] :
                  ( ( ( ~ bst1(node1(red1,node1(black1,X23,X22,X21,X19),sK6,sK5,node1(black1,sK7,sK2,sK0,sK1)))
                      & ( red1 = X20 )
                      & ( red1 = sK4 ) )
                    | ( ( black1 = X20 )
                      & ( red1 = sK4 )
                      & ~ bst1(node1(red1,node1(black1,sK8,sK6,sK5,X11),X10,X12,node1(black1,X9,sK2,sK0,sK1))) ) )
                  & ( node1(X20,X23,X22,X21,X19) = sK8 ) ) )
            & ( red1 = X13 ) ) ) )
   => ( ( node1(sK13,sK11,sK10,sK12,sK9) = sK7 )
      & ( ( ? [X18: color1,X17: $int,X16: tree1,X15: tree1,X14: $int] :
              ( ( red1 = X18 )
              & ( node1(X18,X16,X17,X14,X15) = sK8 )
              & ( red1 = sK4 )
              & ~ bst1(node1(red1,node1(black1,X16,X17,X14,X15),sK6,sK5,node1(black1,sK7,sK2,sK0,sK1))) )
          & ( black1 = sK13 ) )
        | ( ( ( ( leaf1 = sK8 )
              & ~ bst1(node1(red1,node1(black1,sK8,sK6,sK5,sK11),sK10,sK12,node1(black1,sK9,sK2,sK0,sK1)))
              & ( red1 = sK4 ) )
            | ? [X23: tree1,X22: $int,X21: $int,X20: color1,X19: tree1] :
                ( ( ( ~ bst1(node1(red1,node1(black1,X23,X22,X21,X19),sK6,sK5,node1(black1,sK7,sK2,sK0,sK1)))
                    & ( red1 = X20 )
                    & ( red1 = sK4 ) )
                  | ( ( black1 = X20 )
                    & ( red1 = sK4 )
                    & ~ bst1(node1(red1,node1(black1,sK8,sK6,sK5,sK11),sK10,sK12,node1(black1,sK9,sK2,sK0,sK1))) ) )
                & ( node1(X20,X23,X22,X21,X19) = sK8 ) ) )
          & ( red1 = sK13 ) ) ) ) ),
    introduced(choice_axiom,[]) ).

tff(f134,plain,
    ( ? [X18: color1,X17: $int,X16: tree1,X15: tree1,X14: $int] :
        ( ( red1 = X18 )
        & ( node1(X18,X16,X17,X14,X15) = sK8 )
        & ( red1 = sK4 )
        & ~ bst1(node1(red1,node1(black1,X16,X17,X14,X15),sK6,sK5,node1(black1,sK7,sK2,sK0,sK1))) )
   => ( ( red1 = sK18 )
      & ( node1(sK18,sK16,sK17,sK14,sK15) = sK8 )
      & ( red1 = sK4 )
      & ~ bst1(node1(red1,node1(black1,sK16,sK17,sK14,sK15),sK6,sK5,node1(black1,sK7,sK2,sK0,sK1))) ) ),
    introduced(choice_axiom,[]) ).

tff(f135,plain,
    ( ? [X23: tree1,X22: $int,X21: $int,X20: color1,X19: tree1] :
        ( ( ( ~ bst1(node1(red1,node1(black1,X23,X22,X21,X19),sK6,sK5,node1(black1,sK7,sK2,sK0,sK1)))
            & ( red1 = X20 )
            & ( red1 = sK4 ) )
          | ( ( black1 = X20 )
            & ( red1 = sK4 )
            & ~ bst1(node1(red1,node1(black1,sK8,sK6,sK5,sK11),sK10,sK12,node1(black1,sK9,sK2,sK0,sK1))) ) )
        & ( node1(X20,X23,X22,X21,X19) = sK8 ) )
   => ( ( ( ~ bst1(node1(red1,node1(black1,sK23,sK22,sK21,sK19),sK6,sK5,node1(black1,sK7,sK2,sK0,sK1)))
          & ( red1 = sK20 )
          & ( red1 = sK4 ) )
        | ( ( black1 = sK20 )
          & ( red1 = sK4 )
          & ~ bst1(node1(red1,node1(black1,sK8,sK6,sK5,sK11),sK10,sK12,node1(black1,sK9,sK2,sK0,sK1))) ) )
      & ( node1(sK20,sK23,sK22,sK21,sK19) = sK8 ) ) ),
    introduced(choice_axiom,[]) ).

tff(f136,plain,
    ( ? [X28: $int,X27: tree1,X26: $int,X25: color1,X24: tree1] :
        ( ( node1(X25,X24,X26,X28,X27) = sK8 )
        & ( red1 = sK4 )
        & ( red1 = X25 )
        & ~ bst1(node1(red1,node1(black1,X24,X26,X28,X27),sK6,sK5,node1(black1,sK7,sK2,sK0,sK1))) )
   => ( ( node1(sK25,sK24,sK26,sK28,sK27) = sK8 )
      & ( red1 = sK4 )
      & ( red1 = sK25 )
      & ~ bst1(node1(red1,node1(black1,sK24,sK26,sK28,sK27),sK6,sK5,node1(black1,sK7,sK2,sK0,sK1))) ) ),
    introduced(choice_axiom,[]) ).

tff(f130,plain,
    ? [X0: $int,X1: tree1,X2: $int,X3: tree1] :
      ( lt_tree1(X2,X3)
      & ? [X4: color1,X5: $int,X6: $int,X7: tree1,X8: tree1] :
          ( ( node1(X4,X8,X6,X5,X7) = X3 )
          & ( ? [X9: tree1,X10: $int,X11: tree1,X12: $int,X13: color1] :
                ( ( node1(X13,X11,X10,X12,X9) = X7 )
                & ( ( ? [X14: $int,X15: tree1,X16: tree1,X17: $int,X18: color1] :
                        ( ( red1 = X18 )
                        & ( node1(X18,X16,X17,X14,X15) = X8 )
                        & ( red1 = X4 )
                        & ~ bst1(node1(red1,node1(black1,X16,X17,X14,X15),X6,X5,node1(black1,X7,X2,X0,X1))) )
                    & ( black1 = X13 ) )
                  | ( ( ( ( leaf1 = X8 )
                        & ~ bst1(node1(red1,node1(black1,X8,X6,X5,X11),X10,X12,node1(black1,X9,X2,X0,X1)))
                        & ( red1 = X4 ) )
                      | ? [X19: tree1,X20: color1,X21: $int,X22: $int,X23: tree1] :
                          ( ( ( ~ bst1(node1(red1,node1(black1,X23,X22,X21,X19),X6,X5,node1(black1,X7,X2,X0,X1)))
                              & ( red1 = X20 )
                              & ( red1 = X4 ) )
                            | ( ( black1 = X20 )
                              & ( red1 = X4 )
                              & ~ bst1(node1(red1,node1(black1,X8,X6,X5,X11),X10,X12,node1(black1,X9,X2,X0,X1))) ) )
                          & ( node1(X20,X23,X22,X21,X19) = X8 ) ) )
                    & ( red1 = X13 ) ) ) )
            | ( ? [X24: tree1,X25: color1,X26: $int,X27: tree1,X28: $int] :
                  ( ( node1(X25,X24,X26,X28,X27) = X8 )
                  & ( red1 = X4 )
                  & ( red1 = X25 )
                  & ~ bst1(node1(red1,node1(black1,X24,X26,X28,X27),X6,X5,node1(black1,X7,X2,X0,X1))) )
              & ( leaf1 = X7 ) ) ) )
      & bst1(X1)
      & gt_tree1(X2,X1)
      & bst1(X3) ),
    inference(rectify,[],[f119]) ).

tff(f119,plain,
    ? [X1: $int,X3: tree1,X2: $int,X0: tree1] :
      ( lt_tree1(X2,X0)
      & ? [X7: color1,X4: $int,X6: $int,X5: tree1,X8: tree1] :
          ( ( node1(X7,X8,X6,X4,X5) = X0 )
          & ( ? [X15: tree1,X16: $int,X14: tree1,X17: $int,X18: color1] :
                ( ( node1(X18,X14,X16,X17,X15) = X5 )
                & ( ( ? [X26: $int,X25: tree1,X24: tree1,X28: $int,X27: color1] :
                        ( ( red1 = X27 )
                        & ( node1(X27,X24,X28,X26,X25) = X8 )
                        & ( red1 = X7 )
                        & ~ bst1(node1(red1,node1(black1,X24,X28,X26,X25),X6,X4,node1(black1,X5,X2,X1,X3))) )
                    & ( black1 = X18 ) )
                  | ( ( ( ( leaf1 = X8 )
                        & ~ bst1(node1(red1,node1(black1,X8,X6,X4,X14),X16,X17,node1(black1,X15,X2,X1,X3)))
                        & ( red1 = X7 ) )
                      | ? [X23: tree1,X21: color1,X19: $int,X20: $int,X22: tree1] :
                          ( ( ( ~ bst1(node1(red1,node1(black1,X22,X20,X19,X23),X6,X4,node1(black1,X5,X2,X1,X3)))
                              & ( red1 = X21 )
                              & ( red1 = X7 ) )
                            | ( ( black1 = X21 )
                              & ( red1 = X7 )
                              & ~ bst1(node1(red1,node1(black1,X8,X6,X4,X14),X16,X17,node1(black1,X15,X2,X1,X3))) ) )
                          & ( node1(X21,X22,X20,X19,X23) = X8 ) ) )
                    & ( red1 = X18 ) ) ) )
            | ( ? [X13: tree1,X9: color1,X12: $int,X10: tree1,X11: $int] :
                  ( ( node1(X9,X13,X12,X11,X10) = X8 )
                  & ( red1 = X7 )
                  & ( red1 = X9 )
                  & ~ bst1(node1(red1,node1(black1,X13,X12,X11,X10),X6,X4,node1(black1,X5,X2,X1,X3))) )
              & ( leaf1 = X5 ) ) ) )
      & bst1(X3)
      & gt_tree1(X2,X3)
      & bst1(X0) ),
    inference(flattening,[],[f118]) ).

tff(f118,plain,
    ? [X2: $int,X0: tree1,X3: tree1,X1: $int] :
      ( ? [X8: tree1,X7: color1,X6: $int,X4: $int,X5: tree1] :
          ( ( ? [X15: tree1,X16: $int,X14: tree1,X17: $int,X18: color1] :
                ( ( ( ? [X27: color1,X28: $int,X26: $int,X24: tree1,X25: tree1] :
                        ( ~ bst1(node1(red1,node1(black1,X24,X28,X26,X25),X6,X4,node1(black1,X5,X2,X1,X3)))
                        & ( red1 = X7 )
                        & ( red1 = X27 )
                        & ( node1(X27,X24,X28,X26,X25) = X8 ) )
                    & ( black1 = X18 ) )
                  | ( ( ( ~ bst1(node1(red1,node1(black1,X8,X6,X4,X14),X16,X17,node1(black1,X15,X2,X1,X3)))
                        & ( red1 = X7 )
                        & ( leaf1 = X8 ) )
                      | ? [X19: $int,X23: tree1,X20: $int,X22: tree1,X21: color1] :
                          ( ( ( ~ bst1(node1(red1,node1(black1,X8,X6,X4,X14),X16,X17,node1(black1,X15,X2,X1,X3)))
                              & ( red1 = X7 )
                              & ( black1 = X21 ) )
                            | ( ~ bst1(node1(red1,node1(black1,X22,X20,X19,X23),X6,X4,node1(black1,X5,X2,X1,X3)))
                              & ( red1 = X7 )
                              & ( red1 = X21 ) ) )
                          & ( node1(X21,X22,X20,X19,X23) = X8 ) ) )
                    & ( red1 = X18 ) ) )
                & ( node1(X18,X14,X16,X17,X15) = X5 ) )
            | ( ? [X13: tree1,X10: tree1,X9: color1,X11: $int,X12: $int] :
                  ( ~ bst1(node1(red1,node1(black1,X13,X12,X11,X10),X6,X4,node1(black1,X5,X2,X1,X3)))
                  & ( red1 = X7 )
                  & ( red1 = X9 )
                  & ( node1(X9,X13,X12,X11,X10) = X8 ) )
              & ( leaf1 = X5 ) ) )
          & ( node1(X7,X8,X6,X4,X5) = X0 ) )
      & gt_tree1(X2,X3)
      & bst1(X3)
      & lt_tree1(X2,X0)
      & bst1(X0) ),
    inference(ennf_transformation,[],[f82]) ).

tff(f82,plain,
    ~ ! [X2: $int,X0: tree1,X3: tree1,X1: $int] :
        ( ( gt_tree1(X2,X3)
          & bst1(X3)
          & lt_tree1(X2,X0)
          & bst1(X0) )
       => ! [X8: tree1,X7: color1,X6: $int,X4: $int,X5: tree1] :
            ( ( node1(X7,X8,X6,X4,X5) = X0 )
           => ( ! [X15: tree1,X16: $int,X14: tree1,X17: $int,X18: color1] :
                  ( ( node1(X18,X14,X16,X17,X15) = X5 )
                 => ( ( ( black1 = X18 )
                     => ! [X27: color1,X28: $int,X26: $int,X24: tree1,X25: tree1] :
                          ( ( node1(X27,X24,X28,X26,X25) = X8 )
                         => ( ( red1 = X27 )
                           => ( ( red1 = X7 )
                             => bst1(node1(red1,node1(black1,X24,X28,X26,X25),X6,X4,node1(black1,X5,X2,X1,X3))) ) ) ) )
                    & ( ( red1 = X18 )
                     => ( ( ( leaf1 = X8 )
                         => ( ( red1 = X7 )
                           => bst1(node1(red1,node1(black1,X8,X6,X4,X14),X16,X17,node1(black1,X15,X2,X1,X3))) ) )
                        & ! [X19: $int,X23: tree1,X20: $int,X22: tree1,X21: color1] :
                            ( ( node1(X21,X22,X20,X19,X23) = X8 )
                           => ( ( ( black1 = X21 )
                               => ( ( red1 = X7 )
                                 => bst1(node1(red1,node1(black1,X8,X6,X4,X14),X16,X17,node1(black1,X15,X2,X1,X3))) ) )
                              & ( ( red1 = X21 )
                               => ( ( red1 = X7 )
                                 => bst1(node1(red1,node1(black1,X22,X20,X19,X23),X6,X4,node1(black1,X5,X2,X1,X3))) ) ) ) ) ) ) ) )
              & ( ( leaf1 = X5 )
               => ! [X13: tree1,X10: tree1,X9: color1,X11: $int,X12: $int] :
                    ( ( node1(X9,X13,X12,X11,X10) = X8 )
                   => ( ( red1 = X9 )
                     => ( ( red1 = X7 )
                       => bst1(node1(red1,node1(black1,X13,X12,X11,X10),X6,X4,node1(black1,X5,X2,X1,X3))) ) ) ) ) ) ) ),
    inference(rectify,[],[f60]) ).

tff(f60,negated_conjecture,
    ~ ! [X19: tree1,X11: $int,X16: $int,X20: tree1] :
        ( ( bst1(X20)
          & bst1(X19)
          & gt_tree1(X16,X20)
          & lt_tree1(X16,X19) )
       => ! [X17: $int,X18: tree1,X3: $int,X1: color1,X2: tree1] :
            ( ( node1(X1,X2,X3,X17,X18) = X19 )
           => ( ( ( leaf1 = X18 )
               => ! [X38: color1,X42: tree1,X41: $int,X40: $int,X39: tree1] :
                    ( ( node1(X38,X39,X40,X41,X42) = X2 )
                   => ( ( red1 = X38 )
                     => ( ( red1 = X1 )
                       => bst1(node1(red1,node1(black1,X39,X40,X41,X42),X3,X17,node1(black1,X18,X16,X11,X20))) ) ) ) )
              & ! [X39: tree1,X42: tree1,X40: $int,X41: $int,X38: color1] :
                  ( ( node1(X38,X39,X40,X41,X42) = X18 )
                 => ( ( ( red1 = X38 )
                     => ( ! [X46: $int,X45: $int,X43: color1,X44: tree1,X47: tree1] :
                            ( ( node1(X43,X44,X45,X46,X47) = X2 )
                           => ( ( ( black1 = X43 )
                               => ( ( red1 = X1 )
                                 => bst1(node1(red1,node1(black1,X2,X3,X17,X39),X40,X41,node1(black1,X42,X16,X11,X20))) ) )
                              & ( ( red1 = X43 )
                               => ( ( red1 = X1 )
                                 => bst1(node1(red1,node1(black1,X44,X45,X46,X47),X3,X17,node1(black1,X18,X16,X11,X20))) ) ) ) )
                        & ( ( leaf1 = X2 )
                         => ( ( red1 = X1 )
                           => bst1(node1(red1,node1(black1,X2,X3,X17,X39),X40,X41,node1(black1,X42,X16,X11,X20))) ) ) ) )
                    & ( ( black1 = X38 )
                     => ! [X44: tree1,X47: tree1,X46: $int,X43: color1,X45: $int] :
                          ( ( node1(X43,X44,X45,X46,X47) = X2 )
                         => ( ( red1 = X43 )
                           => ( ( red1 = X1 )
                             => bst1(node1(red1,node1(black1,X44,X45,X46,X47),X3,X17,node1(black1,X18,X16,X11,X20))) ) ) ) ) ) ) ) ) ),
    inference(negated_conjecture,[],[f59]) ).

tff(f59,conjecture,
    ! [X19: tree1,X11: $int,X16: $int,X20: tree1] :
      ( ( bst1(X20)
        & bst1(X19)
        & gt_tree1(X16,X20)
        & lt_tree1(X16,X19) )
     => ! [X17: $int,X18: tree1,X3: $int,X1: color1,X2: tree1] :
          ( ( node1(X1,X2,X3,X17,X18) = X19 )
         => ( ( ( leaf1 = X18 )
             => ! [X38: color1,X42: tree1,X41: $int,X40: $int,X39: tree1] :
                  ( ( node1(X38,X39,X40,X41,X42) = X2 )
                 => ( ( red1 = X38 )
                   => ( ( red1 = X1 )
                     => bst1(node1(red1,node1(black1,X39,X40,X41,X42),X3,X17,node1(black1,X18,X16,X11,X20))) ) ) ) )
            & ! [X39: tree1,X42: tree1,X40: $int,X41: $int,X38: color1] :
                ( ( node1(X38,X39,X40,X41,X42) = X18 )
               => ( ( ( red1 = X38 )
                   => ( ! [X46: $int,X45: $int,X43: color1,X44: tree1,X47: tree1] :
                          ( ( node1(X43,X44,X45,X46,X47) = X2 )
                         => ( ( ( black1 = X43 )
                             => ( ( red1 = X1 )
                               => bst1(node1(red1,node1(black1,X2,X3,X17,X39),X40,X41,node1(black1,X42,X16,X11,X20))) ) )
                            & ( ( red1 = X43 )
                             => ( ( red1 = X1 )
                               => bst1(node1(red1,node1(black1,X44,X45,X46,X47),X3,X17,node1(black1,X18,X16,X11,X20))) ) ) ) )
                      & ( ( leaf1 = X2 )
                       => ( ( red1 = X1 )
                         => bst1(node1(red1,node1(black1,X2,X3,X17,X39),X40,X41,node1(black1,X42,X16,X11,X20))) ) ) ) )
                  & ( ( black1 = X38 )
                   => ! [X44: tree1,X47: tree1,X46: $int,X43: color1,X45: $int] :
                        ( ( node1(X43,X44,X45,X46,X47) = X2 )
                       => ( ( red1 = X43 )
                         => ( ( red1 = X1 )
                           => bst1(node1(red1,node1(black1,X44,X45,X46,X47),X3,X17,node1(black1,X18,X16,X11,X20))) ) ) ) ) ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',wP_parameter_lbalance) ).

tff(f2558,plain,
    ( bst1(sK8)
    | ~ bst1(sK3)
    | ~ spl29_7 ),
    inference(superposition,[],[f948,f2115]) ).

tff(f2115,plain,
    ( ( node1(red1,sK8,sK6,sK5,sK7) = sK3 )
    | ~ spl29_7 ),
    inference(backward_demodulation,[],[f942,f1357]) ).

tff(f1357,plain,
    ( ( red1 = sK4 )
    | ~ spl29_7 ),
    inference(avatar_component_clause,[],[f1355]) ).

tff(f1355,plain,
    ( spl29_7
  <=> ( red1 = sK4 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl29_7])]) ).

tff(f942,plain,
    node1(sK4,sK8,sK6,sK5,sK7) = sK3,
    inference(cnf_transformation,[],[f137]) ).

tff(f948,plain,
    ! [X2: $int,X3: tree1,X0: tree1,X1: $int,X4: color1] :
      ( ~ bst1(node1(X4,X0,X1,X2,X3))
      | bst1(X0) ),
    inference(cnf_transformation,[],[f142]) ).

tff(f142,plain,
    ( bst1(leaf1)
    & ! [X0: tree1,X1: $int,X2: $int,X3: tree1,X4: color1] :
        ( ( ( gt_tree1(X1,X3)
            & bst1(X3)
            & lt_tree1(X1,X0)
            & bst1(X0) )
          | ~ bst1(node1(X4,X0,X1,X2,X3)) )
        & ( bst1(node1(X4,X0,X1,X2,X3))
          | ~ gt_tree1(X1,X3)
          | ~ bst1(X3)
          | ~ lt_tree1(X1,X0)
          | ~ bst1(X0) ) ) ),
    inference(rectify,[],[f141]) ).

tff(f141,plain,
    ( bst1(leaf1)
    & ! [X2: tree1,X3: $int,X4: $int,X0: tree1,X1: color1] :
        ( ( ( gt_tree1(X3,X0)
            & bst1(X0)
            & lt_tree1(X3,X2)
            & bst1(X2) )
          | ~ bst1(node1(X1,X2,X3,X4,X0)) )
        & ( bst1(node1(X1,X2,X3,X4,X0))
          | ~ gt_tree1(X3,X0)
          | ~ bst1(X0)
          | ~ lt_tree1(X3,X2)
          | ~ bst1(X2) ) ) ),
    inference(flattening,[],[f140]) ).

tff(f140,plain,
    ( bst1(leaf1)
    & ! [X2: tree1,X3: $int,X4: $int,X0: tree1,X1: color1] :
        ( ( ( gt_tree1(X3,X0)
            & bst1(X0)
            & lt_tree1(X3,X2)
            & bst1(X2) )
          | ~ bst1(node1(X1,X2,X3,X4,X0)) )
        & ( bst1(node1(X1,X2,X3,X4,X0))
          | ~ gt_tree1(X3,X0)
          | ~ bst1(X0)
          | ~ lt_tree1(X3,X2)
          | ~ bst1(X2) ) ) ),
    inference(nnf_transformation,[],[f88]) ).

tff(f88,plain,
    ( bst1(leaf1)
    & ! [X2: tree1,X3: $int,X4: $int,X0: tree1,X1: color1] :
        ( ( gt_tree1(X3,X0)
          & bst1(X0)
          & lt_tree1(X3,X2)
          & bst1(X2) )
      <=> bst1(node1(X1,X2,X3,X4,X0)) ) ),
    inference(rectify,[],[f42]) ).

tff(f42,axiom,
    ( bst1(leaf1)
    & ! [X18: tree1,X1: color1,X2: tree1,X3: $int,X17: $int] :
        ( bst1(node1(X1,X2,X3,X17,X18))
      <=> ( bst1(X18)
          & lt_tree1(X3,X2)
          & bst1(X2)
          & gt_tree1(X3,X18) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',bst_def) ).

tff(f3154,plain,
    ( ~ bst1(sK8)
    | gt_tree1(sK17,sK15)
    | ~ spl29_8
    | ~ spl29_12 ),
    inference(superposition,[],[f951,f3092]) ).

tff(f3092,plain,
    ( ( sK8 = node1(red1,sK16,sK17,sK14,sK15) )
    | ~ spl29_8
    | ~ spl29_12 ),
    inference(backward_demodulation,[],[f1362,f1381]) ).

tff(f1381,plain,
    ( ( red1 = sK18 )
    | ~ spl29_12 ),
    inference(avatar_component_clause,[],[f1379]) ).

tff(f1379,plain,
    ( spl29_12
  <=> ( red1 = sK18 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl29_12])]) ).

tff(f1362,plain,
    ( ( node1(sK18,sK16,sK17,sK14,sK15) = sK8 )
    | ~ spl29_8 ),
    inference(avatar_component_clause,[],[f1360]) ).

tff(f1360,plain,
    ( spl29_8
  <=> ( node1(sK18,sK16,sK17,sK14,sK15) = sK8 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl29_8])]) ).

tff(f951,plain,
    ! [X2: $int,X3: tree1,X0: tree1,X1: $int,X4: color1] :
      ( ~ bst1(node1(X4,X0,X1,X2,X3))
      | gt_tree1(X1,X3) ),
    inference(cnf_transformation,[],[f142]) ).

tff(f3377,plain,
    ( ~ gt_tree1(sK17,sK15)
    | ~ spl29_7
    | ~ spl29_8
    | ~ spl29_12
    | spl29_52 ),
    inference(subsumption_resolution,[],[f3376,f3161]) ).

tff(f3161,plain,
    ( bst1(sK16)
    | ~ spl29_7
    | ~ spl29_8
    | ~ spl29_12 ),
    inference(subsumption_resolution,[],[f3151,f2569]) ).

tff(f3151,plain,
    ( bst1(sK16)
    | ~ bst1(sK8)
    | ~ spl29_8
    | ~ spl29_12 ),
    inference(superposition,[],[f948,f3092]) ).

tff(f3376,plain,
    ( ~ bst1(sK16)
    | ~ gt_tree1(sK17,sK15)
    | ~ spl29_7
    | ~ spl29_8
    | ~ spl29_12
    | spl29_52 ),
    inference(subsumption_resolution,[],[f3375,f3163]) ).

tff(f3163,plain,
    ( lt_tree1(sK17,sK16)
    | ~ spl29_7
    | ~ spl29_8
    | ~ spl29_12 ),
    inference(subsumption_resolution,[],[f3152,f2569]) ).

tff(f3152,plain,
    ( ~ bst1(sK8)
    | lt_tree1(sK17,sK16)
    | ~ spl29_8
    | ~ spl29_12 ),
    inference(superposition,[],[f949,f3092]) ).

tff(f949,plain,
    ! [X2: $int,X3: tree1,X0: tree1,X1: $int,X4: color1] :
      ( ~ bst1(node1(X4,X0,X1,X2,X3))
      | lt_tree1(X1,X0) ),
    inference(cnf_transformation,[],[f142]) ).

tff(f3375,plain,
    ( ~ lt_tree1(sK17,sK16)
    | ~ gt_tree1(sK17,sK15)
    | ~ bst1(sK16)
    | ~ spl29_7
    | ~ spl29_8
    | ~ spl29_12
    | spl29_52 ),
    inference(subsumption_resolution,[],[f3370,f3164]) ).

tff(f3164,plain,
    ( bst1(sK15)
    | ~ spl29_7
    | ~ spl29_8
    | ~ spl29_12 ),
    inference(subsumption_resolution,[],[f3153,f2569]) ).

tff(f3153,plain,
    ( ~ bst1(sK8)
    | bst1(sK15)
    | ~ spl29_8
    | ~ spl29_12 ),
    inference(superposition,[],[f950,f3092]) ).

tff(f950,plain,
    ! [X2: $int,X3: tree1,X0: tree1,X1: $int,X4: color1] :
      ( ~ bst1(node1(X4,X0,X1,X2,X3))
      | bst1(X3) ),
    inference(cnf_transformation,[],[f142]) ).

tff(f3370,plain,
    ( ~ bst1(sK15)
    | ~ lt_tree1(sK17,sK16)
    | ~ bst1(sK16)
    | ~ gt_tree1(sK17,sK15)
    | spl29_52 ),
    inference(resolution,[],[f3200,f947]) ).

tff(f947,plain,
    ! [X2: $int,X3: tree1,X0: tree1,X1: $int,X4: color1] :
      ( bst1(node1(X4,X0,X1,X2,X3))
      | ~ lt_tree1(X1,X0)
      | ~ bst1(X3)
      | ~ bst1(X0)
      | ~ gt_tree1(X1,X3) ),
    inference(cnf_transformation,[],[f142]) ).

tff(f3200,plain,
    ( ~ bst1(node1(black1,sK16,sK17,sK14,sK15))
    | spl29_52 ),
    inference(avatar_component_clause,[],[f3198]) ).

tff(f3198,plain,
    ( spl29_52
  <=> bst1(node1(black1,sK16,sK17,sK14,sK15)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl29_52])]) ).

tff(f3366,plain,
    ( ~ spl29_7
    | ~ spl29_8
    | ~ spl29_12
    | spl29_54 ),
    inference(avatar_contradiction_clause,[],[f3365]) ).

tff(f3365,plain,
    ( $false
    | ~ spl29_7
    | ~ spl29_8
    | ~ spl29_12
    | spl29_54 ),
    inference(subsumption_resolution,[],[f3363,f2567]) ).

tff(f2567,plain,
    ( lt_tree1(sK6,sK8)
    | ~ spl29_7 ),
    inference(subsumption_resolution,[],[f2559,f159]) ).

tff(f2559,plain,
    ( ~ bst1(sK3)
    | lt_tree1(sK6,sK8)
    | ~ spl29_7 ),
    inference(superposition,[],[f949,f2115]) ).

tff(f3363,plain,
    ( ~ lt_tree1(sK6,sK8)
    | ~ spl29_8
    | ~ spl29_12
    | spl29_54 ),
    inference(resolution,[],[f3331,f3149]) ).

tff(f3149,plain,
    ( ! [X10: $int] :
        ( $less(sK17,X10)
        | ~ lt_tree1(X10,sK8) )
    | ~ spl29_8
    | ~ spl29_12 ),
    inference(superposition,[],[f946,f3092]) ).

tff(f946,plain,
    ! [X2: tree1,X3: $int,X0: $int,X1: $int,X4: tree1,X5: color1] :
      ( ~ lt_tree1(X3,node1(X5,X2,X1,X0,X4))
      | $less(X1,X3) ),
    inference(cnf_transformation,[],[f139]) ).

tff(f139,plain,
    ! [X0: $int,X1: $int,X2: tree1,X3: $int,X4: tree1,X5: color1] :
      ( ~ lt_tree1(X3,node1(X5,X2,X1,X0,X4))
      | $less(X1,X3) ),
    inference(rectify,[],[f122]) ).

tff(f122,plain,
    ! [X4: $int,X2: $int,X1: tree1,X5: $int,X3: tree1,X0: color1] :
      ( ~ lt_tree1(X5,node1(X0,X1,X2,X4,X3))
      | $less(X2,X5) ),
    inference(ennf_transformation,[],[f101]) ).

tff(f101,plain,
    ! [X5: $int,X3: tree1,X2: $int,X0: color1,X1: tree1,X4: $int] :
      ( lt_tree1(X5,node1(X0,X1,X2,X4,X3))
     => $less(X2,X5) ),
    inference(rectify,[],[f32]) ).

tff(f32,axiom,
    ! [X23: color1,X19: tree1,X25: $int,X20: tree1,X11: $int,X1: $int] :
      ( lt_tree1(X1,node1(X23,X19,X25,X11,X20))
     => $less(X25,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',lt_node_lt) ).

tff(f3331,plain,
    ( ~ $less(sK17,sK6)
    | spl29_54 ),
    inference(avatar_component_clause,[],[f3329]) ).

tff(f3329,plain,
    ( spl29_54
  <=> $less(sK17,sK6) ),
    introduced(avatar_definition,[new_symbols(naming,[spl29_54])]) ).

tff(f3361,plain,
    ( ~ spl29_7
    | ~ spl29_8
    | ~ spl29_12
    | spl29_55 ),
    inference(avatar_contradiction_clause,[],[f3360]) ).

tff(f3360,plain,
    ( $false
    | ~ spl29_7
    | ~ spl29_8
    | ~ spl29_12
    | spl29_55 ),
    inference(subsumption_resolution,[],[f3358,f2567]) ).

tff(f3358,plain,
    ( ~ lt_tree1(sK6,sK8)
    | ~ spl29_8
    | ~ spl29_12
    | spl29_55 ),
    inference(resolution,[],[f3335,f3146]) ).

tff(f3146,plain,
    ( ! [X8: $int] :
        ( lt_tree1(X8,sK16)
        | ~ lt_tree1(X8,sK8) )
    | ~ spl29_8
    | ~ spl29_12 ),
    inference(superposition,[],[f157,f3092]) ).

tff(f157,plain,
    ! [X2: $int,X3: $int,X0: tree1,X1: color1,X4: tree1,X5: $int] :
      ( ~ lt_tree1(X2,node1(X1,X0,X3,X5,X4))
      | lt_tree1(X2,X0) ),
    inference(cnf_transformation,[],[f128]) ).

tff(f128,plain,
    ! [X0: tree1,X1: color1,X2: $int,X3: $int,X4: tree1,X5: $int] :
      ( ~ lt_tree1(X2,node1(X1,X0,X3,X5,X4))
      | lt_tree1(X2,X0) ),
    inference(rectify,[],[f107]) ).

tff(f107,plain,
    ! [X2: tree1,X0: color1,X3: $int,X4: $int,X5: tree1,X1: $int] :
      ( ~ lt_tree1(X3,node1(X0,X2,X4,X1,X5))
      | lt_tree1(X3,X2) ),
    inference(ennf_transformation,[],[f100]) ).

tff(f100,plain,
    ! [X4: $int,X2: tree1,X5: tree1,X1: $int,X0: color1,X3: $int] :
      ( lt_tree1(X3,node1(X0,X2,X4,X1,X5))
     => lt_tree1(X3,X2) ),
    inference(rectify,[],[f34]) ).

tff(f34,axiom,
    ! [X23: color1,X11: $int,X19: tree1,X1: $int,X25: $int,X20: tree1] :
      ( lt_tree1(X1,node1(X23,X19,X25,X11,X20))
     => lt_tree1(X1,X19) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',lt_left) ).

tff(f3335,plain,
    ( ~ lt_tree1(sK6,sK16)
    | spl29_55 ),
    inference(avatar_component_clause,[],[f3333]) ).

tff(f3333,plain,
    ( spl29_55
  <=> lt_tree1(sK6,sK16) ),
    introduced(avatar_definition,[new_symbols(naming,[spl29_55])]) ).

tff(f3350,plain,
    ( ~ spl29_7
    | ~ spl29_8
    | ~ spl29_12
    | spl29_53 ),
    inference(avatar_contradiction_clause,[],[f3349]) ).

tff(f3349,plain,
    ( $false
    | ~ spl29_7
    | ~ spl29_8
    | ~ spl29_12
    | spl29_53 ),
    inference(subsumption_resolution,[],[f3347,f2567]) ).

tff(f3347,plain,
    ( ~ lt_tree1(sK6,sK8)
    | ~ spl29_8
    | ~ spl29_12
    | spl29_53 ),
    inference(resolution,[],[f3327,f3143]) ).

tff(f3143,plain,
    ( ! [X0: $int] :
        ( lt_tree1(X0,sK15)
        | ~ lt_tree1(X0,sK8) )
    | ~ spl29_8
    | ~ spl29_12 ),
    inference(superposition,[],[f151,f3092]) ).

tff(f151,plain,
    ! [X2: $int,X3: color1,X0: $int,X1: tree1,X4: tree1,X5: $int] :
      ( ~ lt_tree1(X5,node1(X3,X1,X0,X2,X4))
      | lt_tree1(X5,X4) ),
    inference(cnf_transformation,[],[f124]) ).

tff(f124,plain,
    ! [X0: $int,X1: tree1,X2: $int,X3: color1,X4: tree1,X5: $int] :
      ( ~ lt_tree1(X5,node1(X3,X1,X0,X2,X4))
      | lt_tree1(X5,X4) ),
    inference(rectify,[],[f106]) ).

tff(f106,plain,
    ! [X1: $int,X5: tree1,X3: $int,X4: color1,X2: tree1,X0: $int] :
      ( ~ lt_tree1(X0,node1(X4,X5,X1,X3,X2))
      | lt_tree1(X0,X2) ),
    inference(ennf_transformation,[],[f102]) ).

tff(f102,plain,
    ! [X1: $int,X3: $int,X5: tree1,X4: color1,X0: $int,X2: tree1] :
      ( lt_tree1(X0,node1(X4,X5,X1,X3,X2))
     => lt_tree1(X0,X2) ),
    inference(rectify,[],[f35]) ).

tff(f35,axiom,
    ! [X1: $int,X25: $int,X20: tree1,X11: $int,X23: color1,X19: tree1] :
      ( lt_tree1(X1,node1(X23,X19,X25,X11,X20))
     => lt_tree1(X1,X20) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',lt_right) ).

tff(f3327,plain,
    ( ~ lt_tree1(sK6,sK15)
    | spl29_53 ),
    inference(avatar_component_clause,[],[f3325]) ).

tff(f3325,plain,
    ( spl29_53
  <=> lt_tree1(sK6,sK15) ),
    introduced(avatar_definition,[new_symbols(naming,[spl29_53])]) ).

tff(f3336,plain,
    ( ~ spl29_53
    | ~ spl29_54
    | ~ spl29_55
    | spl29_51 ),
    inference(avatar_split_clause,[],[f3321,f3194,f3333,f3329,f3325]) ).

tff(f3194,plain,
    ( spl29_51
  <=> lt_tree1(sK6,node1(black1,sK16,sK17,sK14,sK15)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl29_51])]) ).

tff(f3321,plain,
    ( ~ lt_tree1(sK6,sK16)
    | ~ $less(sK17,sK6)
    | ~ lt_tree1(sK6,sK15)
    | spl29_51 ),
    inference(resolution,[],[f3196,f960]) ).

tff(f960,plain,
    ! [X2: $int,X3: $int,X0: $int,X1: color1,X4: tree1,X5: tree1] :
      ( lt_tree1(X3,node1(X1,X5,X2,X0,X4))
      | ~ lt_tree1(X3,X5)
      | ~ $less(X2,X3)
      | ~ lt_tree1(X3,X4) ),
    inference(cnf_transformation,[],[f149]) ).

tff(f149,plain,
    ! [X0: $int,X1: color1,X2: $int,X3: $int,X4: tree1,X5: tree1] :
      ( ~ lt_tree1(X3,X5)
      | ~ lt_tree1(X3,X4)
      | lt_tree1(X3,node1(X1,X5,X2,X0,X4))
      | ~ $less(X2,X3) ),
    inference(rectify,[],[f111]) ).

tff(f111,plain,
    ! [X5: $int,X1: color1,X2: $int,X3: $int,X4: tree1,X0: tree1] :
      ( ~ lt_tree1(X3,X0)
      | ~ lt_tree1(X3,X4)
      | lt_tree1(X3,node1(X1,X0,X2,X5,X4))
      | ~ $less(X2,X3) ),
    inference(flattening,[],[f110]) ).

tff(f110,plain,
    ! [X5: $int,X2: $int,X1: color1,X0: tree1,X3: $int,X4: tree1] :
      ( lt_tree1(X3,node1(X1,X0,X2,X5,X4))
      | ~ $less(X2,X3)
      | ~ lt_tree1(X3,X4)
      | ~ lt_tree1(X3,X0) ),
    inference(ennf_transformation,[],[f99]) ).

tff(f99,plain,
    ! [X5: $int,X2: $int,X1: color1,X0: tree1,X3: $int,X4: tree1] :
      ( lt_tree1(X3,X0)
     => ( lt_tree1(X3,X4)
       => ( $less(X2,X3)
         => lt_tree1(X3,node1(X1,X0,X2,X5,X4)) ) ) ),
    inference(rectify,[],[f30]) ).

tff(f30,axiom,
    ! [X19: tree1,X23: color1,X25: $int,X1: $int,X20: tree1,X11: $int] :
      ( lt_tree1(X1,X19)
     => ( lt_tree1(X1,X20)
       => ( $less(X25,X1)
         => lt_tree1(X1,node1(X23,X19,X25,X11,X20)) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',lt_tree_node) ).

tff(f3196,plain,
    ( ~ lt_tree1(sK6,node1(black1,sK16,sK17,sK14,sK15))
    | spl29_51 ),
    inference(avatar_component_clause,[],[f3194]) ).

tff(f3201,plain,
    ( ~ spl29_51
    | ~ spl29_52
    | spl29_4
    | ~ spl29_49
    | ~ spl29_50 ),
    inference(avatar_split_clause,[],[f3192,f2890,f2886,f1342,f3198,f3194]) ).

tff(f1342,plain,
    ( spl29_4
  <=> bst1(node1(red1,node1(black1,sK16,sK17,sK14,sK15),sK6,sK5,node1(black1,sK7,sK2,sK0,sK1))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl29_4])]) ).

tff(f2886,plain,
    ( spl29_49
  <=> gt_tree1(sK6,node1(black1,sK7,sK2,sK0,sK1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl29_49])]) ).

tff(f2890,plain,
    ( spl29_50
  <=> bst1(node1(black1,sK7,sK2,sK0,sK1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl29_50])]) ).

tff(f3192,plain,
    ( ~ bst1(node1(black1,sK16,sK17,sK14,sK15))
    | ~ lt_tree1(sK6,node1(black1,sK16,sK17,sK14,sK15))
    | spl29_4
    | ~ spl29_49
    | ~ spl29_50 ),
    inference(subsumption_resolution,[],[f3191,f2891]) ).

tff(f2891,plain,
    ( bst1(node1(black1,sK7,sK2,sK0,sK1))
    | ~ spl29_50 ),
    inference(avatar_component_clause,[],[f2890]) ).

tff(f3191,plain,
    ( ~ bst1(node1(black1,sK7,sK2,sK0,sK1))
    | ~ bst1(node1(black1,sK16,sK17,sK14,sK15))
    | ~ lt_tree1(sK6,node1(black1,sK16,sK17,sK14,sK15))
    | spl29_4
    | ~ spl29_49 ),
    inference(subsumption_resolution,[],[f3167,f2887]) ).

tff(f2887,plain,
    ( gt_tree1(sK6,node1(black1,sK7,sK2,sK0,sK1))
    | ~ spl29_49 ),
    inference(avatar_component_clause,[],[f2886]) ).

tff(f3167,plain,
    ( ~ gt_tree1(sK6,node1(black1,sK7,sK2,sK0,sK1))
    | ~ bst1(node1(black1,sK7,sK2,sK0,sK1))
    | ~ bst1(node1(black1,sK16,sK17,sK14,sK15))
    | ~ lt_tree1(sK6,node1(black1,sK16,sK17,sK14,sK15))
    | spl29_4 ),
    inference(resolution,[],[f1344,f947]) ).

tff(f1344,plain,
    ( ~ bst1(node1(red1,node1(black1,sK16,sK17,sK14,sK15),sK6,sK5,node1(black1,sK7,sK2,sK0,sK1)))
    | spl29_4 ),
    inference(avatar_component_clause,[],[f1342]) ).

tff(f3190,plain,
    ( ~ spl29_7
    | spl29_48 ),
    inference(avatar_contradiction_clause,[],[f3189]) ).

tff(f3189,plain,
    ( $false
    | ~ spl29_7
    | spl29_48 ),
    inference(subsumption_resolution,[],[f3187,f943]) ).

tff(f943,plain,
    lt_tree1(sK2,sK3),
    inference(cnf_transformation,[],[f137]) ).

tff(f3187,plain,
    ( ~ lt_tree1(sK2,sK3)
    | ~ spl29_7
    | spl29_48 ),
    inference(resolution,[],[f2806,f2550]) ).

tff(f2550,plain,
    ( ! [X0: $int] :
        ( lt_tree1(X0,sK7)
        | ~ lt_tree1(X0,sK3) )
    | ~ spl29_7 ),
    inference(superposition,[],[f151,f2115]) ).

tff(f2806,plain,
    ( ~ lt_tree1(sK2,sK7)
    | spl29_48 ),
    inference(avatar_component_clause,[],[f2805]) ).

tff(f2805,plain,
    ( spl29_48
  <=> lt_tree1(sK2,sK7) ),
    introduced(avatar_definition,[new_symbols(naming,[spl29_48])]) ).

tff(f3095,plain,
    ( ~ spl29_14
    | ~ spl29_16 ),
    inference(avatar_contradiction_clause,[],[f3094]) ).

tff(f3094,plain,
    ( $false
    | ~ spl29_14
    | ~ spl29_16 ),
    inference(subsumption_resolution,[],[f3093,f944]) ).

tff(f944,plain,
    red1 != black1,
    inference(cnf_transformation,[],[f11]) ).

tff(f11,axiom,
    red1 != black1,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',red_Black) ).

tff(f3093,plain,
    ( ( red1 = black1 )
    | ~ spl29_14
    | ~ spl29_16 ),
    inference(forward_demodulation,[],[f1392,f1420]) ).

tff(f1420,plain,
    ( ( red1 = sK13 )
    | ~ spl29_16 ),
    inference(avatar_component_clause,[],[f1418]) ).

tff(f1418,plain,
    ( spl29_16
  <=> ( red1 = sK13 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl29_16])]) ).

tff(f1392,plain,
    ( ( black1 = sK13 )
    | ~ spl29_14 ),
    inference(avatar_component_clause,[],[f1390]) ).

tff(f1390,plain,
    ( spl29_14
  <=> ( black1 = sK13 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl29_14])]) ).

tff(f3090,plain,
    ( ~ spl29_7
    | spl29_18
    | ~ spl29_28
    | ~ spl29_29 ),
    inference(avatar_contradiction_clause,[],[f3089]) ).

tff(f3089,plain,
    ( $false
    | ~ spl29_7
    | spl29_18
    | ~ spl29_28
    | ~ spl29_29 ),
    inference(subsumption_resolution,[],[f3088,f2268]) ).

tff(f2268,plain,
    ( bst1(sK11)
    | ~ spl29_29 ),
    inference(avatar_component_clause,[],[f2267]) ).

tff(f2267,plain,
    ( spl29_29
  <=> bst1(sK11) ),
    introduced(avatar_definition,[new_symbols(naming,[spl29_29])]) ).

tff(f3088,plain,
    ( ~ bst1(sK11)
    | ~ spl29_7
    | spl29_18
    | ~ spl29_28 ),
    inference(subsumption_resolution,[],[f3087,f2567]) ).

tff(f3087,plain,
    ( ~ lt_tree1(sK6,sK8)
    | ~ bst1(sK11)
    | ~ spl29_7
    | spl29_18
    | ~ spl29_28 ),
    inference(subsumption_resolution,[],[f3086,f2569]) ).

tff(f3086,plain,
    ( ~ bst1(sK8)
    | ~ bst1(sK11)
    | ~ lt_tree1(sK6,sK8)
    | spl29_18
    | ~ spl29_28 ),
    inference(subsumption_resolution,[],[f3081,f2264]) ).

tff(f2264,plain,
    ( gt_tree1(sK6,sK11)
    | ~ spl29_28 ),
    inference(avatar_component_clause,[],[f2263]) ).

tff(f2263,plain,
    ( spl29_28
  <=> gt_tree1(sK6,sK11) ),
    introduced(avatar_definition,[new_symbols(naming,[spl29_28])]) ).

tff(f3081,plain,
    ( ~ gt_tree1(sK6,sK11)
    | ~ lt_tree1(sK6,sK8)
    | ~ bst1(sK8)
    | ~ bst1(sK11)
    | spl29_18 ),
    inference(resolution,[],[f2189,f947]) ).

tff(f2189,plain,
    ( ~ bst1(node1(black1,sK8,sK6,sK5,sK11))
    | spl29_18 ),
    inference(avatar_component_clause,[],[f2187]) ).

tff(f2187,plain,
    ( spl29_18
  <=> bst1(node1(black1,sK8,sK6,sK5,sK11)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl29_18])]) ).

tff(f3079,plain,
    ( ~ spl29_18
    | spl29_6
    | ~ spl29_19
    | ~ spl29_20
    | ~ spl29_21 ),
    inference(avatar_split_clause,[],[f3078,f2199,f2195,f2191,f1351,f2187]) ).

tff(f1351,plain,
    ( spl29_6
  <=> bst1(node1(red1,node1(black1,sK8,sK6,sK5,sK11),sK10,sK12,node1(black1,sK9,sK2,sK0,sK1))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl29_6])]) ).

tff(f2191,plain,
    ( spl29_19
  <=> lt_tree1(sK10,node1(black1,sK8,sK6,sK5,sK11)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl29_19])]) ).

tff(f2195,plain,
    ( spl29_20
  <=> gt_tree1(sK10,node1(black1,sK9,sK2,sK0,sK1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl29_20])]) ).

tff(f2199,plain,
    ( spl29_21
  <=> bst1(node1(black1,sK9,sK2,sK0,sK1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl29_21])]) ).

tff(f3078,plain,
    ( ~ bst1(node1(black1,sK8,sK6,sK5,sK11))
    | spl29_6
    | ~ spl29_19
    | ~ spl29_20
    | ~ spl29_21 ),
    inference(subsumption_resolution,[],[f3077,f2192]) ).

tff(f2192,plain,
    ( lt_tree1(sK10,node1(black1,sK8,sK6,sK5,sK11))
    | ~ spl29_19 ),
    inference(avatar_component_clause,[],[f2191]) ).

tff(f3077,plain,
    ( ~ lt_tree1(sK10,node1(black1,sK8,sK6,sK5,sK11))
    | ~ bst1(node1(black1,sK8,sK6,sK5,sK11))
    | spl29_6
    | ~ spl29_20
    | ~ spl29_21 ),
    inference(subsumption_resolution,[],[f3076,f2196]) ).

tff(f2196,plain,
    ( gt_tree1(sK10,node1(black1,sK9,sK2,sK0,sK1))
    | ~ spl29_20 ),
    inference(avatar_component_clause,[],[f2195]) ).

tff(f3076,plain,
    ( ~ gt_tree1(sK10,node1(black1,sK9,sK2,sK0,sK1))
    | ~ bst1(node1(black1,sK8,sK6,sK5,sK11))
    | ~ lt_tree1(sK10,node1(black1,sK8,sK6,sK5,sK11))
    | spl29_6
    | ~ spl29_21 ),
    inference(subsumption_resolution,[],[f3032,f2200]) ).

tff(f2200,plain,
    ( bst1(node1(black1,sK9,sK2,sK0,sK1))
    | ~ spl29_21 ),
    inference(avatar_component_clause,[],[f2199]) ).

tff(f3032,plain,
    ( ~ bst1(node1(black1,sK9,sK2,sK0,sK1))
    | ~ lt_tree1(sK10,node1(black1,sK8,sK6,sK5,sK11))
    | ~ bst1(node1(black1,sK8,sK6,sK5,sK11))
    | ~ gt_tree1(sK10,node1(black1,sK9,sK2,sK0,sK1))
    | spl29_6 ),
    inference(resolution,[],[f1353,f947]) ).

tff(f1353,plain,
    ( ~ bst1(node1(red1,node1(black1,sK8,sK6,sK5,sK11),sK10,sK12,node1(black1,sK9,sK2,sK0,sK1)))
    | spl29_6 ),
    inference(avatar_component_clause,[],[f1351]) ).

tff(f3075,plain,
    ( ~ spl29_7
    | ~ spl29_16
    | ~ spl29_17
    | spl29_19
    | ~ spl29_33 ),
    inference(avatar_contradiction_clause,[],[f3074]) ).

tff(f3074,plain,
    ( $false
    | ~ spl29_7
    | ~ spl29_16
    | ~ spl29_17
    | spl29_19
    | ~ spl29_33 ),
    inference(subsumption_resolution,[],[f3070,f2567]) ).

tff(f3070,plain,
    ( ~ lt_tree1(sK6,sK8)
    | ~ spl29_7
    | ~ spl29_16
    | ~ spl29_17
    | spl29_19
    | ~ spl29_33 ),
    inference(resolution,[],[f3067,f2707]) ).

tff(f2707,plain,
    ( ! [X0: tree1] :
        ( lt_tree1(sK10,X0)
        | ~ lt_tree1(sK6,X0) )
    | ~ spl29_7
    | ~ spl29_16
    | ~ spl29_17 ),
    inference(resolution,[],[f2699,f955]) ).

tff(f955,plain,
    ! [X2: tree1,X0: $int,X1: $int] :
      ( ~ $less(X0,X1)
      | ~ lt_tree1(X0,X2)
      | lt_tree1(X1,X2) ),
    inference(cnf_transformation,[],[f145]) ).

tff(f145,plain,
    ! [X0: $int,X1: $int] :
      ( ! [X2: tree1] :
          ( lt_tree1(X1,X2)
          | ~ lt_tree1(X0,X2) )
      | ~ $less(X0,X1) ),
    inference(rectify,[],[f105]) ).

tff(f105,plain,
    ! [X1: $int,X0: $int] :
      ( ! [X2: tree1] :
          ( lt_tree1(X0,X2)
          | ~ lt_tree1(X1,X2) )
      | ~ $less(X1,X0) ),
    inference(ennf_transformation,[],[f98]) ).

tff(f98,plain,
    ! [X1: $int,X0: $int] :
      ( $less(X1,X0)
     => ! [X2: tree1] :
          ( lt_tree1(X1,X2)
         => lt_tree1(X0,X2) ) ),
    inference(rectify,[],[f39]) ).

tff(f39,axiom,
    ! [X25: $int,X1: $int] :
      ( $less(X1,X25)
     => ! [X26: tree1] :
          ( lt_tree1(X1,X26)
         => lt_tree1(X25,X26) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',lt_tree_trans) ).

tff(f2699,plain,
    ( $less(sK6,sK10)
    | ~ spl29_7
    | ~ spl29_16
    | ~ spl29_17 ),
    inference(resolution,[],[f2609,f2568]) ).

tff(f2568,plain,
    ( gt_tree1(sK6,sK7)
    | ~ spl29_7 ),
    inference(subsumption_resolution,[],[f2561,f159]) ).

tff(f2561,plain,
    ( ~ bst1(sK3)
    | gt_tree1(sK6,sK7)
    | ~ spl29_7 ),
    inference(superposition,[],[f951,f2115]) ).

tff(f2609,plain,
    ( ! [X19: $int] :
        ( ~ gt_tree1(X19,sK7)
        | $less(X19,sK10) )
    | ~ spl29_16
    | ~ spl29_17 ),
    inference(superposition,[],[f959,f2547]) ).

tff(f2547,plain,
    ( ( node1(red1,sK11,sK10,sK12,sK9) = sK7 )
    | ~ spl29_16
    | ~ spl29_17 ),
    inference(forward_demodulation,[],[f1506,f1420]) ).

tff(f1506,plain,
    ( ( node1(sK13,sK11,sK10,sK12,sK9) = sK7 )
    | ~ spl29_17 ),
    inference(avatar_component_clause,[],[f1504]) ).

tff(f1504,plain,
    ( spl29_17
  <=> ( node1(sK13,sK11,sK10,sK12,sK9) = sK7 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl29_17])]) ).

tff(f959,plain,
    ! [X2: $int,X3: $int,X0: tree1,X1: tree1,X4: $int,X5: color1] :
      ( ~ gt_tree1(X3,node1(X5,X1,X2,X4,X0))
      | $less(X3,X2) ),
    inference(cnf_transformation,[],[f148]) ).

tff(f148,plain,
    ! [X0: tree1,X1: tree1,X2: $int,X3: $int,X4: $int,X5: color1] :
      ( ~ gt_tree1(X3,node1(X5,X1,X2,X4,X0))
      | $less(X3,X2) ),
    inference(rectify,[],[f123]) ).

tff(f123,plain,
    ! [X4: tree1,X2: tree1,X5: $int,X3: $int,X0: $int,X1: color1] :
      ( ~ gt_tree1(X3,node1(X1,X2,X5,X0,X4))
      | $less(X3,X5) ),
    inference(ennf_transformation,[],[f95]) ).

tff(f95,plain,
    ! [X1: color1,X3: $int,X0: $int,X2: tree1,X4: tree1,X5: $int] :
      ( gt_tree1(X3,node1(X1,X2,X5,X0,X4))
     => $less(X3,X5) ),
    inference(rectify,[],[f33]) ).

tff(f33,axiom,
    ! [X11: $int,X23: color1,X19: tree1,X1: $int,X20: tree1,X25: $int] :
      ( gt_tree1(X1,node1(X23,X19,X25,X11,X20))
     => $less(X1,X25) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gt_node_gt) ).

tff(f3067,plain,
    ( ~ lt_tree1(sK10,sK8)
    | ~ spl29_7
    | ~ spl29_16
    | ~ spl29_17
    | spl29_19
    | ~ spl29_33 ),
    inference(subsumption_resolution,[],[f3066,f2699]) ).

tff(f3066,plain,
    ( ~ $less(sK6,sK10)
    | ~ lt_tree1(sK10,sK8)
    | spl29_19
    | ~ spl29_33 ),
    inference(subsumption_resolution,[],[f3063,f2371]) ).

tff(f2371,plain,
    ( lt_tree1(sK10,sK11)
    | ~ spl29_33 ),
    inference(avatar_component_clause,[],[f2369]) ).

tff(f2369,plain,
    ( spl29_33
  <=> lt_tree1(sK10,sK11) ),
    introduced(avatar_definition,[new_symbols(naming,[spl29_33])]) ).

tff(f3063,plain,
    ( ~ lt_tree1(sK10,sK11)
    | ~ lt_tree1(sK10,sK8)
    | ~ $less(sK6,sK10)
    | spl29_19 ),
    inference(resolution,[],[f2193,f960]) ).

tff(f2193,plain,
    ( ~ lt_tree1(sK10,node1(black1,sK8,sK6,sK5,sK11))
    | spl29_19 ),
    inference(avatar_component_clause,[],[f2191]) ).

tff(f2984,plain,
    ( ~ spl29_7
    | spl29_32 ),
    inference(avatar_contradiction_clause,[],[f2983]) ).

tff(f2983,plain,
    ( $false
    | ~ spl29_7
    | spl29_32 ),
    inference(subsumption_resolution,[],[f2982,f2367]) ).

tff(f2367,plain,
    ( ~ bst1(sK7)
    | spl29_32 ),
    inference(avatar_component_clause,[],[f2365]) ).

tff(f2365,plain,
    ( spl29_32
  <=> bst1(sK7) ),
    introduced(avatar_definition,[new_symbols(naming,[spl29_32])]) ).

tff(f2982,plain,
    ( bst1(sK7)
    | ~ spl29_7 ),
    inference(subsumption_resolution,[],[f2560,f159]) ).

tff(f2560,plain,
    ( ~ bst1(sK3)
    | bst1(sK7)
    | ~ spl29_7 ),
    inference(superposition,[],[f950,f2115]) ).

tff(f2977,plain,
    ( ~ spl29_32
    | spl29_36
    | ~ spl29_16
    | ~ spl29_17 ),
    inference(avatar_split_clause,[],[f2605,f1504,f1418,f2384,f2365]) ).

tff(f2384,plain,
    ( spl29_36
  <=> gt_tree1(sK10,sK9) ),
    introduced(avatar_definition,[new_symbols(naming,[spl29_36])]) ).

tff(f2605,plain,
    ( gt_tree1(sK10,sK9)
    | ~ bst1(sK7)
    | ~ spl29_16
    | ~ spl29_17 ),
    inference(superposition,[],[f951,f2547]) ).

tff(f2976,plain,
    ( ~ spl29_7
    | spl29_31 ),
    inference(avatar_contradiction_clause,[],[f2975]) ).

tff(f2975,plain,
    ( $false
    | ~ spl29_7
    | spl29_31 ),
    inference(subsumption_resolution,[],[f2973,f943]) ).

tff(f2973,plain,
    ( ~ lt_tree1(sK2,sK3)
    | ~ spl29_7
    | spl29_31 ),
    inference(resolution,[],[f2298,f2556]) ).

tff(f2556,plain,
    ( ! [X10: $int] :
        ( $less(sK6,X10)
        | ~ lt_tree1(X10,sK3) )
    | ~ spl29_7 ),
    inference(superposition,[],[f946,f2115]) ).

tff(f2298,plain,
    ( ~ $less(sK6,sK2)
    | spl29_31 ),
    inference(avatar_component_clause,[],[f2296]) ).

tff(f2296,plain,
    ( spl29_31
  <=> $less(sK6,sK2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl29_31])]) ).

tff(f2963,plain,
    ( ~ spl29_7
    | ~ spl29_30
    | ~ spl29_31
    | spl29_49 ),
    inference(avatar_contradiction_clause,[],[f2962]) ).

tff(f2962,plain,
    ( $false
    | ~ spl29_7
    | ~ spl29_30
    | ~ spl29_31
    | spl29_49 ),
    inference(subsumption_resolution,[],[f2961,f2293]) ).

tff(f2293,plain,
    ( gt_tree1(sK6,sK1)
    | ~ spl29_30 ),
    inference(avatar_component_clause,[],[f2292]) ).

tff(f2292,plain,
    ( spl29_30
  <=> gt_tree1(sK6,sK1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl29_30])]) ).

tff(f2961,plain,
    ( ~ gt_tree1(sK6,sK1)
    | ~ spl29_7
    | ~ spl29_31
    | spl29_49 ),
    inference(subsumption_resolution,[],[f2960,f2297]) ).

tff(f2297,plain,
    ( $less(sK6,sK2)
    | ~ spl29_31 ),
    inference(avatar_component_clause,[],[f2296]) ).

tff(f2960,plain,
    ( ~ $less(sK6,sK2)
    | ~ gt_tree1(sK6,sK1)
    | ~ spl29_7
    | spl29_49 ),
    inference(subsumption_resolution,[],[f2955,f2568]) ).

tff(f2955,plain,
    ( ~ gt_tree1(sK6,sK7)
    | ~ $less(sK6,sK2)
    | ~ gt_tree1(sK6,sK1)
    | spl29_49 ),
    inference(resolution,[],[f2888,f158]) ).

tff(f158,plain,
    ! [X2: tree1,X3: $int,X0: $int,X1: $int,X4: color1,X5: tree1] :
      ( gt_tree1(X1,node1(X4,X5,X0,X3,X2))
      | ~ gt_tree1(X1,X2)
      | ~ $less(X1,X0)
      | ~ gt_tree1(X1,X5) ),
    inference(cnf_transformation,[],[f129]) ).

tff(f129,plain,
    ! [X0: $int,X1: $int,X2: tree1,X3: $int,X4: color1,X5: tree1] :
      ( ~ gt_tree1(X1,X5)
      | gt_tree1(X1,node1(X4,X5,X0,X3,X2))
      | ~ gt_tree1(X1,X2)
      | ~ $less(X1,X0) ),
    inference(rectify,[],[f116]) ).

tff(f116,plain,
    ! [X4: $int,X0: $int,X2: tree1,X1: $int,X3: color1,X5: tree1] :
      ( ~ gt_tree1(X0,X5)
      | gt_tree1(X0,node1(X3,X5,X4,X1,X2))
      | ~ gt_tree1(X0,X2)
      | ~ $less(X0,X4) ),
    inference(flattening,[],[f115]) ).

tff(f115,plain,
    ! [X0: $int,X2: tree1,X5: tree1,X4: $int,X1: $int,X3: color1] :
      ( gt_tree1(X0,node1(X3,X5,X4,X1,X2))
      | ~ $less(X0,X4)
      | ~ gt_tree1(X0,X2)
      | ~ gt_tree1(X0,X5) ),
    inference(ennf_transformation,[],[f97]) ).

tff(f97,plain,
    ! [X0: $int,X2: tree1,X5: tree1,X4: $int,X1: $int,X3: color1] :
      ( gt_tree1(X0,X5)
     => ( gt_tree1(X0,X2)
       => ( $less(X0,X4)
         => gt_tree1(X0,node1(X3,X5,X4,X1,X2)) ) ) ),
    inference(rectify,[],[f31]) ).

tff(f31,axiom,
    ! [X1: $int,X11: $int,X20: tree1,X23: color1,X25: $int,X19: tree1] :
      ( gt_tree1(X1,X19)
     => ( gt_tree1(X1,X20)
       => ( $less(X1,X25)
         => gt_tree1(X1,node1(X23,X19,X25,X11,X20)) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gt_tree_node) ).

tff(f2888,plain,
    ( ~ gt_tree1(sK6,node1(black1,sK7,sK2,sK0,sK1))
    | spl29_49 ),
    inference(avatar_component_clause,[],[f2886]) ).

tff(f2931,plain,
    ( ~ spl29_32
    | ~ spl29_48
    | spl29_50 ),
    inference(avatar_contradiction_clause,[],[f2930]) ).

tff(f2930,plain,
    ( $false
    | ~ spl29_32
    | ~ spl29_48
    | spl29_50 ),
    inference(subsumption_resolution,[],[f2929,f2366]) ).

tff(f2366,plain,
    ( bst1(sK7)
    | ~ spl29_32 ),
    inference(avatar_component_clause,[],[f2365]) ).

tff(f2929,plain,
    ( ~ bst1(sK7)
    | ~ spl29_48
    | spl29_50 ),
    inference(subsumption_resolution,[],[f2928,f161]) ).

tff(f161,plain,
    bst1(sK1),
    inference(cnf_transformation,[],[f137]) ).

tff(f2928,plain,
    ( ~ bst1(sK1)
    | ~ bst1(sK7)
    | ~ spl29_48
    | spl29_50 ),
    inference(subsumption_resolution,[],[f2927,f2807]) ).

tff(f2807,plain,
    ( lt_tree1(sK2,sK7)
    | ~ spl29_48 ),
    inference(avatar_component_clause,[],[f2805]) ).

tff(f2927,plain,
    ( ~ lt_tree1(sK2,sK7)
    | ~ bst1(sK1)
    | ~ bst1(sK7)
    | spl29_50 ),
    inference(subsumption_resolution,[],[f2922,f160]) ).

tff(f160,plain,
    gt_tree1(sK2,sK1),
    inference(cnf_transformation,[],[f137]) ).

tff(f2922,plain,
    ( ~ gt_tree1(sK2,sK1)
    | ~ bst1(sK7)
    | ~ bst1(sK1)
    | ~ lt_tree1(sK2,sK7)
    | spl29_50 ),
    inference(resolution,[],[f2892,f947]) ).

tff(f2892,plain,
    ( ~ bst1(node1(black1,sK7,sK2,sK0,sK1))
    | spl29_50 ),
    inference(avatar_component_clause,[],[f2890]) ).

tff(f2912,plain,
    ( ~ spl29_5
    | ~ spl29_7
    | ~ spl29_10
    | spl29_23 ),
    inference(avatar_contradiction_clause,[],[f2911]) ).

tff(f2911,plain,
    ( $false
    | ~ spl29_5
    | ~ spl29_7
    | ~ spl29_10
    | spl29_23 ),
    inference(subsumption_resolution,[],[f2910,f2858]) ).

tff(f2858,plain,
    ( lt_tree1(sK22,sK23)
    | ~ spl29_5
    | ~ spl29_7
    | ~ spl29_10 ),
    inference(subsumption_resolution,[],[f2847,f2569]) ).

tff(f2847,plain,
    ( lt_tree1(sK22,sK23)
    | ~ bst1(sK8)
    | ~ spl29_5
    | ~ spl29_10 ),
    inference(superposition,[],[f949,f2816]) ).

tff(f2816,plain,
    ( ( sK8 = node1(red1,sK23,sK22,sK21,sK19) )
    | ~ spl29_5
    | ~ spl29_10 ),
    inference(forward_demodulation,[],[f1371,f1348]) ).

tff(f1348,plain,
    ( ( red1 = sK20 )
    | ~ spl29_5 ),
    inference(avatar_component_clause,[],[f1346]) ).

tff(f1346,plain,
    ( spl29_5
  <=> ( red1 = sK20 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl29_5])]) ).

tff(f1371,plain,
    ( ( node1(sK20,sK23,sK22,sK21,sK19) = sK8 )
    | ~ spl29_10 ),
    inference(avatar_component_clause,[],[f1369]) ).

tff(f1369,plain,
    ( spl29_10
  <=> ( node1(sK20,sK23,sK22,sK21,sK19) = sK8 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl29_10])]) ).

tff(f2910,plain,
    ( ~ lt_tree1(sK22,sK23)
    | ~ spl29_5
    | ~ spl29_7
    | ~ spl29_10
    | spl29_23 ),
    inference(subsumption_resolution,[],[f2909,f2857]) ).

tff(f2857,plain,
    ( bst1(sK23)
    | ~ spl29_5
    | ~ spl29_7
    | ~ spl29_10 ),
    inference(subsumption_resolution,[],[f2846,f2569]) ).

tff(f2846,plain,
    ( bst1(sK23)
    | ~ bst1(sK8)
    | ~ spl29_5
    | ~ spl29_10 ),
    inference(superposition,[],[f948,f2816]) ).

tff(f2909,plain,
    ( ~ bst1(sK23)
    | ~ lt_tree1(sK22,sK23)
    | ~ spl29_5
    | ~ spl29_7
    | ~ spl29_10
    | spl29_23 ),
    inference(subsumption_resolution,[],[f2908,f2856]) ).

tff(f2856,plain,
    ( gt_tree1(sK22,sK19)
    | ~ spl29_5
    | ~ spl29_7
    | ~ spl29_10 ),
    inference(subsumption_resolution,[],[f2849,f2569]) ).

tff(f2849,plain,
    ( gt_tree1(sK22,sK19)
    | ~ bst1(sK8)
    | ~ spl29_5
    | ~ spl29_10 ),
    inference(superposition,[],[f951,f2816]) ).

tff(f2908,plain,
    ( ~ gt_tree1(sK22,sK19)
    | ~ bst1(sK23)
    | ~ lt_tree1(sK22,sK23)
    | ~ spl29_5
    | ~ spl29_7
    | ~ spl29_10
    | spl29_23 ),
    inference(subsumption_resolution,[],[f2903,f2859]) ).

tff(f2859,plain,
    ( bst1(sK19)
    | ~ spl29_5
    | ~ spl29_7
    | ~ spl29_10 ),
    inference(subsumption_resolution,[],[f2848,f2569]) ).

tff(f2848,plain,
    ( bst1(sK19)
    | ~ bst1(sK8)
    | ~ spl29_5
    | ~ spl29_10 ),
    inference(superposition,[],[f950,f2816]) ).

tff(f2903,plain,
    ( ~ bst1(sK19)
    | ~ lt_tree1(sK22,sK23)
    | ~ gt_tree1(sK22,sK19)
    | ~ bst1(sK23)
    | spl29_23 ),
    inference(resolution,[],[f2210,f947]) ).

tff(f2210,plain,
    ( ~ bst1(node1(black1,sK23,sK22,sK21,sK19))
    | spl29_23 ),
    inference(avatar_component_clause,[],[f2208]) ).

tff(f2208,plain,
    ( spl29_23
  <=> bst1(node1(black1,sK23,sK22,sK21,sK19)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl29_23])]) ).

tff(f2893,plain,
    ( ~ spl29_23
    | ~ spl29_49
    | ~ spl29_25
    | ~ spl29_50
    | spl29_11 ),
    inference(avatar_split_clause,[],[f2613,f1374,f2890,f2216,f2886,f2208]) ).

tff(f2216,plain,
    ( spl29_25
  <=> lt_tree1(sK6,node1(black1,sK23,sK22,sK21,sK19)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl29_25])]) ).

tff(f1374,plain,
    ( spl29_11
  <=> bst1(node1(red1,node1(black1,sK23,sK22,sK21,sK19),sK6,sK5,node1(black1,sK7,sK2,sK0,sK1))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl29_11])]) ).

tff(f2613,plain,
    ( ~ bst1(node1(black1,sK7,sK2,sK0,sK1))
    | ~ lt_tree1(sK6,node1(black1,sK23,sK22,sK21,sK19))
    | ~ gt_tree1(sK6,node1(black1,sK7,sK2,sK0,sK1))
    | ~ bst1(node1(black1,sK23,sK22,sK21,sK19))
    | spl29_11 ),
    inference(resolution,[],[f1376,f947]) ).

tff(f1376,plain,
    ( ~ bst1(node1(red1,node1(black1,sK23,sK22,sK21,sK19),sK6,sK5,node1(black1,sK7,sK2,sK0,sK1)))
    | spl29_11 ),
    inference(avatar_component_clause,[],[f1374]) ).

tff(f2884,plain,
    ( ~ spl29_5
    | ~ spl29_7
    | ~ spl29_10
    | spl29_38 ),
    inference(avatar_contradiction_clause,[],[f2883]) ).

tff(f2883,plain,
    ( $false
    | ~ spl29_5
    | ~ spl29_7
    | ~ spl29_10
    | spl29_38 ),
    inference(subsumption_resolution,[],[f2881,f2567]) ).

tff(f2881,plain,
    ( ~ lt_tree1(sK6,sK8)
    | ~ spl29_5
    | ~ spl29_10
    | spl29_38 ),
    inference(resolution,[],[f2498,f2841]) ).

tff(f2841,plain,
    ( ! [X8: $int] :
        ( lt_tree1(X8,sK23)
        | ~ lt_tree1(X8,sK8) )
    | ~ spl29_5
    | ~ spl29_10 ),
    inference(superposition,[],[f157,f2816]) ).

tff(f2498,plain,
    ( ~ lt_tree1(sK6,sK23)
    | spl29_38 ),
    inference(avatar_component_clause,[],[f2496]) ).

tff(f2496,plain,
    ( spl29_38
  <=> lt_tree1(sK6,sK23) ),
    introduced(avatar_definition,[new_symbols(naming,[spl29_38])]) ).

tff(f2879,plain,
    ( ~ spl29_5
    | ~ spl29_7
    | ~ spl29_10
    | spl29_39 ),
    inference(avatar_contradiction_clause,[],[f2878]) ).

tff(f2878,plain,
    ( $false
    | ~ spl29_5
    | ~ spl29_7
    | ~ spl29_10
    | spl29_39 ),
    inference(subsumption_resolution,[],[f2875,f2567]) ).

tff(f2875,plain,
    ( ~ lt_tree1(sK6,sK8)
    | ~ spl29_5
    | ~ spl29_10
    | spl29_39 ),
    inference(resolution,[],[f2844,f2502]) ).

tff(f2502,plain,
    ( ~ $less(sK22,sK6)
    | spl29_39 ),
    inference(avatar_component_clause,[],[f2500]) ).

tff(f2500,plain,
    ( spl29_39
  <=> $less(sK22,sK6) ),
    introduced(avatar_definition,[new_symbols(naming,[spl29_39])]) ).

tff(f2844,plain,
    ( ! [X10: $int] :
        ( $less(sK22,X10)
        | ~ lt_tree1(X10,sK8) )
    | ~ spl29_5
    | ~ spl29_10 ),
    inference(superposition,[],[f946,f2816]) ).

tff(f2814,plain,
    ( ~ spl29_1
    | ~ spl29_10 ),
    inference(avatar_contradiction_clause,[],[f2813]) ).

tff(f2813,plain,
    ( $false
    | ~ spl29_1
    | ~ spl29_10 ),
    inference(subsumption_resolution,[],[f2812,f945]) ).

tff(f945,plain,
    ! [X2: tree1,X3: $int,X0: $int,X1: color1,X4: tree1] : ( leaf1 != node1(X1,X2,X3,X0,X4) ),
    inference(cnf_transformation,[],[f138]) ).

tff(f138,plain,
    ! [X0: $int,X1: color1,X2: tree1,X3: $int,X4: tree1] : ( leaf1 != node1(X1,X2,X3,X0,X4) ),
    inference(rectify,[],[f83]) ).

tff(f83,plain,
    ! [X1: $int,X0: color1,X3: tree1,X2: $int,X4: tree1] : ( leaf1 != node1(X0,X3,X2,X1,X4) ),
    inference(rectify,[],[f16]) ).

tff(f16,axiom,
    ! [X11: color1,X14: $int,X13: $int,X12: tree1,X15: tree1] : ( leaf1 != node1(X11,X12,X13,X14,X15) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',leaf_Node) ).

tff(f2812,plain,
    ( ( leaf1 = node1(sK20,sK23,sK22,sK21,sK19) )
    | ~ spl29_1
    | ~ spl29_10 ),
    inference(forward_demodulation,[],[f1371,f1332]) ).

tff(f1332,plain,
    ( ( leaf1 = sK8 )
    | ~ spl29_1 ),
    inference(avatar_component_clause,[],[f1330]) ).

tff(f1330,plain,
    ( spl29_1
  <=> ( leaf1 = sK8 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl29_1])]) ).

tff(f2811,plain,
    ( ~ spl29_43
    | spl29_44 ),
    inference(avatar_contradiction_clause,[],[f2809]) ).

tff(f2809,plain,
    ( $false
    | ~ spl29_43
    | spl29_44 ),
    inference(unit_resulting_resolution,[],[f160,f2758,f2763,f150]) ).

tff(f150,plain,
    ! [X2: tree1,X0: $int,X1: $int] :
      ( gt_tree1(X1,X2)
      | ~ $less(X1,X0)
      | ~ gt_tree1(X0,X2) ),
    inference(cnf_transformation,[],[f117]) ).

tff(f117,plain,
    ! [X0: $int,X1: $int] :
      ( ! [X2: tree1] :
          ( ~ gt_tree1(X0,X2)
          | gt_tree1(X1,X2) )
      | ~ $less(X1,X0) ),
    inference(ennf_transformation,[],[f93]) ).

tff(f93,plain,
    ! [X1: $int,X0: $int] :
      ( $less(X1,X0)
     => ! [X2: tree1] :
          ( gt_tree1(X0,X2)
         => gt_tree1(X1,X2) ) ),
    inference(rectify,[],[f41]) ).

tff(f41,axiom,
    ! [X1: $int,X25: $int] :
      ( $less(X25,X1)
     => ! [X26: tree1] :
          ( gt_tree1(X1,X26)
         => gt_tree1(X25,X26) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gt_tree_trans) ).

tff(f2763,plain,
    ( ~ gt_tree1(sK10,sK1)
    | spl29_44 ),
    inference(avatar_component_clause,[],[f2761]) ).

tff(f2761,plain,
    ( spl29_44
  <=> gt_tree1(sK10,sK1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl29_44])]) ).

tff(f2758,plain,
    ( $less(sK10,sK2)
    | ~ spl29_43 ),
    inference(avatar_component_clause,[],[f2757]) ).

tff(f2757,plain,
    ( spl29_43
  <=> $less(sK10,sK2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl29_43])]) ).

tff(f2789,plain,
    ( ~ spl29_7
    | ~ spl29_16
    | ~ spl29_17
    | spl29_43 ),
    inference(avatar_contradiction_clause,[],[f2788]) ).

tff(f2788,plain,
    ( $false
    | ~ spl29_7
    | ~ spl29_16
    | ~ spl29_17
    | spl29_43 ),
    inference(subsumption_resolution,[],[f2786,f943]) ).

tff(f2786,plain,
    ( ~ lt_tree1(sK2,sK3)
    | ~ spl29_7
    | ~ spl29_16
    | ~ spl29_17
    | spl29_43 ),
    inference(resolution,[],[f2770,f2550]) ).

tff(f2770,plain,
    ( ~ lt_tree1(sK2,sK7)
    | ~ spl29_16
    | ~ spl29_17
    | spl29_43 ),
    inference(resolution,[],[f2759,f2600]) ).

tff(f2600,plain,
    ( ! [X10: $int] :
        ( $less(sK10,X10)
        | ~ lt_tree1(X10,sK7) )
    | ~ spl29_16
    | ~ spl29_17 ),
    inference(superposition,[],[f946,f2547]) ).

tff(f2759,plain,
    ( ~ $less(sK10,sK2)
    | spl29_43 ),
    inference(avatar_component_clause,[],[f2757]) ).

tff(f2764,plain,
    ( ~ spl29_43
    | ~ spl29_44
    | spl29_20
    | ~ spl29_36 ),
    inference(avatar_split_clause,[],[f2755,f2384,f2195,f2761,f2757]) ).

tff(f2755,plain,
    ( ~ gt_tree1(sK10,sK1)
    | ~ $less(sK10,sK2)
    | spl29_20
    | ~ spl29_36 ),
    inference(subsumption_resolution,[],[f2751,f2385]) ).

tff(f2385,plain,
    ( gt_tree1(sK10,sK9)
    | ~ spl29_36 ),
    inference(avatar_component_clause,[],[f2384]) ).

tff(f2751,plain,
    ( ~ $less(sK10,sK2)
    | ~ gt_tree1(sK10,sK9)
    | ~ gt_tree1(sK10,sK1)
    | spl29_20 ),
    inference(resolution,[],[f2197,f158]) ).

tff(f2197,plain,
    ( ~ gt_tree1(sK10,node1(black1,sK9,sK2,sK0,sK1))
    | spl29_20 ),
    inference(avatar_component_clause,[],[f2195]) ).

tff(f2727,plain,
    ( ~ spl29_7
    | ~ spl29_16
    | ~ spl29_17
    | spl29_21
    | ~ spl29_34 ),
    inference(avatar_contradiction_clause,[],[f2726]) ).

tff(f2726,plain,
    ( $false
    | ~ spl29_7
    | ~ spl29_16
    | ~ spl29_17
    | spl29_21
    | ~ spl29_34 ),
    inference(subsumption_resolution,[],[f2724,f943]) ).

tff(f2724,plain,
    ( ~ lt_tree1(sK2,sK3)
    | ~ spl29_7
    | ~ spl29_16
    | ~ spl29_17
    | spl29_21
    | ~ spl29_34 ),
    inference(resolution,[],[f2709,f2550]) ).

tff(f2709,plain,
    ( ~ lt_tree1(sK2,sK7)
    | ~ spl29_16
    | ~ spl29_17
    | spl29_21
    | ~ spl29_34 ),
    inference(resolution,[],[f2706,f2594]) ).

tff(f2594,plain,
    ( ! [X0: $int] :
        ( lt_tree1(X0,sK9)
        | ~ lt_tree1(X0,sK7) )
    | ~ spl29_16
    | ~ spl29_17 ),
    inference(superposition,[],[f151,f2547]) ).

tff(f2706,plain,
    ( ~ lt_tree1(sK2,sK9)
    | spl29_21
    | ~ spl29_34 ),
    inference(subsumption_resolution,[],[f2705,f161]) ).

tff(f2705,plain,
    ( ~ lt_tree1(sK2,sK9)
    | ~ bst1(sK1)
    | spl29_21
    | ~ spl29_34 ),
    inference(subsumption_resolution,[],[f2704,f2377]) ).

tff(f2377,plain,
    ( bst1(sK9)
    | ~ spl29_34 ),
    inference(avatar_component_clause,[],[f2375]) ).

tff(f2375,plain,
    ( spl29_34
  <=> bst1(sK9) ),
    introduced(avatar_definition,[new_symbols(naming,[spl29_34])]) ).

tff(f2704,plain,
    ( ~ lt_tree1(sK2,sK9)
    | ~ bst1(sK9)
    | ~ bst1(sK1)
    | spl29_21 ),
    inference(subsumption_resolution,[],[f2700,f160]) ).

tff(f2700,plain,
    ( ~ lt_tree1(sK2,sK9)
    | ~ gt_tree1(sK2,sK1)
    | ~ bst1(sK1)
    | ~ bst1(sK9)
    | spl29_21 ),
    inference(resolution,[],[f2201,f947]) ).

tff(f2201,plain,
    ( ~ bst1(node1(black1,sK9,sK2,sK0,sK1))
    | spl29_21 ),
    inference(avatar_component_clause,[],[f2199]) ).

tff(f2677,plain,
    ( ~ spl29_7
    | ~ spl29_16
    | ~ spl29_17
    | spl29_28 ),
    inference(avatar_contradiction_clause,[],[f2676]) ).

tff(f2676,plain,
    ( $false
    | ~ spl29_7
    | ~ spl29_16
    | ~ spl29_17
    | spl29_28 ),
    inference(subsumption_resolution,[],[f2674,f2568]) ).

tff(f2674,plain,
    ( ~ gt_tree1(sK6,sK7)
    | ~ spl29_16
    | ~ spl29_17
    | spl29_28 ),
    inference(resolution,[],[f2607,f2265]) ).

tff(f2265,plain,
    ( ~ gt_tree1(sK6,sK11)
    | spl29_28 ),
    inference(avatar_component_clause,[],[f2263]) ).

tff(f2607,plain,
    ( ! [X12: $int] :
        ( gt_tree1(X12,sK11)
        | ~ gt_tree1(X12,sK7) )
    | ~ spl29_16
    | ~ spl29_17 ),
    inference(superposition,[],[f954,f2547]) ).

tff(f954,plain,
    ! [X2: $int,X3: color1,X0: tree1,X1: $int,X4: $int,X5: tree1] :
      ( ~ gt_tree1(X4,node1(X3,X0,X2,X1,X5))
      | gt_tree1(X4,X0) ),
    inference(cnf_transformation,[],[f144]) ).

tff(f144,plain,
    ! [X0: tree1,X1: $int,X2: $int,X3: color1,X4: $int,X5: tree1] :
      ( ~ gt_tree1(X4,node1(X3,X0,X2,X1,X5))
      | gt_tree1(X4,X0) ),
    inference(rectify,[],[f109]) ).

tff(f109,plain,
    ! [X4: tree1,X5: $int,X2: $int,X1: color1,X3: $int,X0: tree1] :
      ( ~ gt_tree1(X3,node1(X1,X4,X2,X5,X0))
      | gt_tree1(X3,X4) ),
    inference(ennf_transformation,[],[f96]) ).

tff(f96,plain,
    ! [X2: $int,X1: color1,X4: tree1,X0: tree1,X5: $int,X3: $int] :
      ( gt_tree1(X3,node1(X1,X4,X2,X5,X0))
     => gt_tree1(X3,X4) ),
    inference(rectify,[],[f36]) ).

tff(f36,axiom,
    ! [X20: tree1,X23: color1,X25: $int,X1: $int,X19: tree1,X11: $int] :
      ( gt_tree1(X1,node1(X23,X19,X25,X11,X20))
     => gt_tree1(X1,X19) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gt_left) ).

tff(f2631,plain,
    ( ~ spl29_5
    | ~ spl29_7
    | ~ spl29_10
    | spl29_37 ),
    inference(avatar_contradiction_clause,[],[f2630]) ).

tff(f2630,plain,
    ( $false
    | ~ spl29_5
    | ~ spl29_7
    | ~ spl29_10
    | spl29_37 ),
    inference(subsumption_resolution,[],[f2628,f2567]) ).

tff(f2628,plain,
    ( ~ lt_tree1(sK6,sK8)
    | ~ spl29_5
    | ~ spl29_10
    | spl29_37 ),
    inference(resolution,[],[f2572,f2494]) ).

tff(f2494,plain,
    ( ~ lt_tree1(sK6,sK19)
    | spl29_37 ),
    inference(avatar_component_clause,[],[f2492]) ).

tff(f2492,plain,
    ( spl29_37
  <=> lt_tree1(sK6,sK19) ),
    introduced(avatar_definition,[new_symbols(naming,[spl29_37])]) ).

tff(f2572,plain,
    ( ! [X0: $int] :
        ( lt_tree1(X0,sK19)
        | ~ lt_tree1(X0,sK8) )
    | ~ spl29_5
    | ~ spl29_10 ),
    inference(superposition,[],[f151,f2540]) ).

tff(f2540,plain,
    ( ( sK8 = node1(red1,sK23,sK22,sK21,sK19) )
    | ~ spl29_5
    | ~ spl29_10 ),
    inference(backward_demodulation,[],[f1371,f1348]) ).

tff(f2546,plain,
    ( ~ spl29_13
    | ~ spl29_17 ),
    inference(avatar_contradiction_clause,[],[f2545]) ).

tff(f2545,plain,
    ( $false
    | ~ spl29_13
    | ~ spl29_17 ),
    inference(subsumption_resolution,[],[f2544,f945]) ).

tff(f2544,plain,
    ( ( leaf1 = node1(sK13,sK11,sK10,sK12,sK9) )
    | ~ spl29_13
    | ~ spl29_17 ),
    inference(forward_demodulation,[],[f1506,f1386]) ).

tff(f1386,plain,
    ( ( leaf1 = sK7 )
    | ~ spl29_13 ),
    inference(avatar_component_clause,[],[f1384]) ).

tff(f1384,plain,
    ( spl29_13
  <=> ( leaf1 = sK7 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl29_13])]) ).

tff(f2538,plain,
    ( ~ spl29_3
    | ~ spl29_7
    | ~ spl29_9
    | ~ spl29_13
    | spl29_41 ),
    inference(avatar_contradiction_clause,[],[f2537]) ).

tff(f2537,plain,
    ( $false
    | ~ spl29_3
    | ~ spl29_7
    | ~ spl29_9
    | ~ spl29_13
    | spl29_41 ),
    inference(subsumption_resolution,[],[f2535,f2412]) ).

tff(f2412,plain,
    ( lt_tree1(sK6,sK8)
    | ~ spl29_7
    | ~ spl29_13 ),
    inference(subsumption_resolution,[],[f2404,f159]) ).

tff(f2404,plain,
    ( lt_tree1(sK6,sK8)
    | ~ bst1(sK3)
    | ~ spl29_7
    | ~ spl29_13 ),
    inference(superposition,[],[f949,f2392]) ).

tff(f2392,plain,
    ( ( node1(red1,sK8,sK6,sK5,leaf1) = sK3 )
    | ~ spl29_7
    | ~ spl29_13 ),
    inference(forward_demodulation,[],[f2115,f1386]) ).

tff(f2535,plain,
    ( ~ lt_tree1(sK6,sK8)
    | ~ spl29_3
    | ~ spl29_9
    | spl29_41 ),
    inference(resolution,[],[f2516,f2423]) ).

tff(f2423,plain,
    ( ! [X10: $int] :
        ( $less(sK26,X10)
        | ~ lt_tree1(X10,sK8) )
    | ~ spl29_3
    | ~ spl29_9 ),
    inference(superposition,[],[f946,f2393]) ).

tff(f2393,plain,
    ( ( node1(red1,sK24,sK26,sK28,sK27) = sK8 )
    | ~ spl29_3
    | ~ spl29_9 ),
    inference(forward_demodulation,[],[f1340,f1366]) ).

tff(f1366,plain,
    ( ( red1 = sK25 )
    | ~ spl29_9 ),
    inference(avatar_component_clause,[],[f1364]) ).

tff(f1364,plain,
    ( spl29_9
  <=> ( red1 = sK25 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl29_9])]) ).

tff(f1340,plain,
    ( ( node1(sK25,sK24,sK26,sK28,sK27) = sK8 )
    | ~ spl29_3 ),
    inference(avatar_component_clause,[],[f1338]) ).

tff(f1338,plain,
    ( spl29_3
  <=> ( node1(sK25,sK24,sK26,sK28,sK27) = sK8 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl29_3])]) ).

tff(f2516,plain,
    ( ~ $less(sK26,sK6)
    | spl29_41 ),
    inference(avatar_component_clause,[],[f2514]) ).

tff(f2514,plain,
    ( spl29_41
  <=> $less(sK26,sK6) ),
    introduced(avatar_definition,[new_symbols(naming,[spl29_41])]) ).

tff(f2533,plain,
    ( ~ spl29_3
    | ~ spl29_7
    | ~ spl29_9
    | ~ spl29_13
    | spl29_42 ),
    inference(avatar_contradiction_clause,[],[f2532]) ).

tff(f2532,plain,
    ( $false
    | ~ spl29_3
    | ~ spl29_7
    | ~ spl29_9
    | ~ spl29_13
    | spl29_42 ),
    inference(subsumption_resolution,[],[f2530,f2412]) ).

tff(f2530,plain,
    ( ~ lt_tree1(sK6,sK8)
    | ~ spl29_3
    | ~ spl29_9
    | spl29_42 ),
    inference(resolution,[],[f2520,f2417]) ).

tff(f2417,plain,
    ( ! [X0: $int] :
        ( lt_tree1(X0,sK27)
        | ~ lt_tree1(X0,sK8) )
    | ~ spl29_3
    | ~ spl29_9 ),
    inference(superposition,[],[f151,f2393]) ).

tff(f2520,plain,
    ( ~ lt_tree1(sK6,sK27)
    | spl29_42 ),
    inference(avatar_component_clause,[],[f2518]) ).

tff(f2518,plain,
    ( spl29_42
  <=> lt_tree1(sK6,sK27) ),
    introduced(avatar_definition,[new_symbols(naming,[spl29_42])]) ).

tff(f2526,plain,
    ( ~ spl29_3
    | ~ spl29_7
    | ~ spl29_9
    | ~ spl29_13
    | spl29_40 ),
    inference(avatar_contradiction_clause,[],[f2525]) ).

tff(f2525,plain,
    ( $false
    | ~ spl29_3
    | ~ spl29_7
    | ~ spl29_9
    | ~ spl29_13
    | spl29_40 ),
    inference(subsumption_resolution,[],[f2523,f2412]) ).

tff(f2523,plain,
    ( ~ lt_tree1(sK6,sK8)
    | ~ spl29_3
    | ~ spl29_9
    | spl29_40 ),
    inference(resolution,[],[f2512,f2420]) ).

tff(f2420,plain,
    ( ! [X8: $int] :
        ( lt_tree1(X8,sK24)
        | ~ lt_tree1(X8,sK8) )
    | ~ spl29_3
    | ~ spl29_9 ),
    inference(superposition,[],[f157,f2393]) ).

tff(f2512,plain,
    ( ~ lt_tree1(sK6,sK24)
    | spl29_40 ),
    inference(avatar_component_clause,[],[f2510]) ).

tff(f2510,plain,
    ( spl29_40
  <=> lt_tree1(sK6,sK24) ),
    introduced(avatar_definition,[new_symbols(naming,[spl29_40])]) ).

tff(f2521,plain,
    ( ~ spl29_40
    | ~ spl29_41
    | ~ spl29_42
    | spl29_27 ),
    inference(avatar_split_clause,[],[f2506,f2225,f2518,f2514,f2510]) ).

tff(f2225,plain,
    ( spl29_27
  <=> lt_tree1(sK6,node1(black1,sK24,sK26,sK28,sK27)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl29_27])]) ).

tff(f2506,plain,
    ( ~ lt_tree1(sK6,sK27)
    | ~ $less(sK26,sK6)
    | ~ lt_tree1(sK6,sK24)
    | spl29_27 ),
    inference(resolution,[],[f2227,f960]) ).

tff(f2227,plain,
    ( ~ lt_tree1(sK6,node1(black1,sK24,sK26,sK28,sK27))
    | spl29_27 ),
    inference(avatar_component_clause,[],[f2225]) ).

tff(f2503,plain,
    ( ~ spl29_37
    | ~ spl29_38
    | ~ spl29_39
    | spl29_25 ),
    inference(avatar_split_clause,[],[f2488,f2216,f2500,f2496,f2492]) ).

tff(f2488,plain,
    ( ~ $less(sK22,sK6)
    | ~ lt_tree1(sK6,sK23)
    | ~ lt_tree1(sK6,sK19)
    | spl29_25 ),
    inference(resolution,[],[f2218,f960]) ).

tff(f2218,plain,
    ( ~ lt_tree1(sK6,node1(black1,sK23,sK22,sK21,sK19))
    | spl29_25 ),
    inference(avatar_component_clause,[],[f2216]) ).

tff(f2473,plain,
    ( ~ spl29_3
    | ~ spl29_7
    | ~ spl29_9
    | ~ spl29_13
    | spl29_26 ),
    inference(avatar_contradiction_clause,[],[f2472]) ).

tff(f2472,plain,
    ( $false
    | ~ spl29_3
    | ~ spl29_7
    | ~ spl29_9
    | ~ spl29_13
    | spl29_26 ),
    inference(subsumption_resolution,[],[f2471,f2434]) ).

tff(f2434,plain,
    ( lt_tree1(sK26,sK24)
    | ~ spl29_3
    | ~ spl29_7
    | ~ spl29_9
    | ~ spl29_13 ),
    inference(subsumption_resolution,[],[f2426,f2415]) ).

tff(f2415,plain,
    ( bst1(sK8)
    | ~ spl29_7
    | ~ spl29_13 ),
    inference(subsumption_resolution,[],[f2403,f159]) ).

tff(f2403,plain,
    ( ~ bst1(sK3)
    | bst1(sK8)
    | ~ spl29_7
    | ~ spl29_13 ),
    inference(superposition,[],[f948,f2392]) ).

tff(f2426,plain,
    ( ~ bst1(sK8)
    | lt_tree1(sK26,sK24)
    | ~ spl29_3
    | ~ spl29_9 ),
    inference(superposition,[],[f949,f2393]) ).

tff(f2471,plain,
    ( ~ lt_tree1(sK26,sK24)
    | ~ spl29_3
    | ~ spl29_7
    | ~ spl29_9
    | ~ spl29_13
    | spl29_26 ),
    inference(subsumption_resolution,[],[f2470,f2435]) ).

tff(f2435,plain,
    ( bst1(sK27)
    | ~ spl29_3
    | ~ spl29_7
    | ~ spl29_9
    | ~ spl29_13 ),
    inference(subsumption_resolution,[],[f2427,f2415]) ).

tff(f2427,plain,
    ( ~ bst1(sK8)
    | bst1(sK27)
    | ~ spl29_3
    | ~ spl29_9 ),
    inference(superposition,[],[f950,f2393]) ).

tff(f2470,plain,
    ( ~ bst1(sK27)
    | ~ lt_tree1(sK26,sK24)
    | ~ spl29_3
    | ~ spl29_7
    | ~ spl29_9
    | ~ spl29_13
    | spl29_26 ),
    inference(subsumption_resolution,[],[f2469,f2437]) ).

tff(f2437,plain,
    ( bst1(sK24)
    | ~ spl29_3
    | ~ spl29_7
    | ~ spl29_9
    | ~ spl29_13 ),
    inference(subsumption_resolution,[],[f2425,f2415]) ).

tff(f2425,plain,
    ( bst1(sK24)
    | ~ bst1(sK8)
    | ~ spl29_3
    | ~ spl29_9 ),
    inference(superposition,[],[f948,f2393]) ).

tff(f2469,plain,
    ( ~ bst1(sK24)
    | ~ lt_tree1(sK26,sK24)
    | ~ bst1(sK27)
    | ~ spl29_3
    | ~ spl29_7
    | ~ spl29_9
    | ~ spl29_13
    | spl29_26 ),
    inference(subsumption_resolution,[],[f2464,f2436]) ).

tff(f2436,plain,
    ( gt_tree1(sK26,sK27)
    | ~ spl29_3
    | ~ spl29_7
    | ~ spl29_9
    | ~ spl29_13 ),
    inference(subsumption_resolution,[],[f2428,f2415]) ).

tff(f2428,plain,
    ( ~ bst1(sK8)
    | gt_tree1(sK26,sK27)
    | ~ spl29_3
    | ~ spl29_9 ),
    inference(superposition,[],[f951,f2393]) ).

tff(f2464,plain,
    ( ~ gt_tree1(sK26,sK27)
    | ~ bst1(sK27)
    | ~ bst1(sK24)
    | ~ lt_tree1(sK26,sK24)
    | spl29_26 ),
    inference(resolution,[],[f2223,f947]) ).

tff(f2223,plain,
    ( ~ bst1(node1(black1,sK24,sK26,sK28,sK27))
    | spl29_26 ),
    inference(avatar_component_clause,[],[f2221]) ).

tff(f2221,plain,
    ( spl29_26
  <=> bst1(node1(black1,sK24,sK26,sK28,sK27)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl29_26])]) ).

tff(f2378,plain,
    ( spl29_34
    | ~ spl29_32
    | ~ spl29_16
    | ~ spl29_17 ),
    inference(avatar_split_clause,[],[f2357,f1504,f1418,f2365,f2375]) ).

tff(f2357,plain,
    ( ~ bst1(sK7)
    | bst1(sK9)
    | ~ spl29_16
    | ~ spl29_17 ),
    inference(superposition,[],[f950,f2334]) ).

tff(f2334,plain,
    ( ( node1(red1,sK11,sK10,sK12,sK9) = sK7 )
    | ~ spl29_16
    | ~ spl29_17 ),
    inference(forward_demodulation,[],[f1506,f1420]) ).

tff(f2373,plain,
    ( spl29_29
    | ~ spl29_32
    | ~ spl29_16
    | ~ spl29_17 ),
    inference(avatar_split_clause,[],[f2355,f1504,f1418,f2365,f2267]) ).

tff(f2355,plain,
    ( ~ bst1(sK7)
    | bst1(sK11)
    | ~ spl29_16
    | ~ spl29_17 ),
    inference(superposition,[],[f948,f2334]) ).

tff(f2372,plain,
    ( ~ spl29_32
    | spl29_33
    | ~ spl29_16
    | ~ spl29_17 ),
    inference(avatar_split_clause,[],[f2356,f1504,f1418,f2369,f2365]) ).

tff(f2356,plain,
    ( lt_tree1(sK10,sK11)
    | ~ bst1(sK7)
    | ~ spl29_16
    | ~ spl29_17 ),
    inference(superposition,[],[f949,f2334]) ).

tff(f2306,plain,
    ( ~ spl29_31
    | spl29_30 ),
    inference(avatar_split_clause,[],[f2304,f2292,f2296]) ).

tff(f2304,plain,
    ( ~ $less(sK6,sK2)
    | spl29_30 ),
    inference(resolution,[],[f2300,f160]) ).

tff(f2300,plain,
    ( ! [X0: $int] :
        ( ~ gt_tree1(X0,sK1)
        | ~ $less(sK6,X0) )
    | spl29_30 ),
    inference(resolution,[],[f2294,f150]) ).

tff(f2294,plain,
    ( ~ gt_tree1(sK6,sK1)
    | spl29_30 ),
    inference(avatar_component_clause,[],[f2292]) ).

tff(f2299,plain,
    ( ~ spl29_30
    | ~ spl29_31
    | spl29_24 ),
    inference(avatar_split_clause,[],[f2290,f2212,f2296,f2292]) ).

tff(f2212,plain,
    ( spl29_24
  <=> gt_tree1(sK6,node1(black1,leaf1,sK2,sK0,sK1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl29_24])]) ).

tff(f2290,plain,
    ( ~ $less(sK6,sK2)
    | ~ gt_tree1(sK6,sK1)
    | spl29_24 ),
    inference(subsumption_resolution,[],[f2287,f155]) ).

tff(f155,plain,
    ! [X0: $int] : gt_tree1(X0,leaf1),
    inference(cnf_transformation,[],[f94]) ).

tff(f94,plain,
    ! [X0: $int] : gt_tree1(X0,leaf1),
    inference(rectify,[],[f29]) ).

tff(f29,axiom,
    ! [X1: $int] : gt_tree1(X1,leaf1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gt_leaf) ).

tff(f2287,plain,
    ( ~ $less(sK6,sK2)
    | ~ gt_tree1(sK6,leaf1)
    | ~ gt_tree1(sK6,sK1)
    | spl29_24 ),
    inference(resolution,[],[f2214,f158]) ).

tff(f2214,plain,
    ( ~ gt_tree1(sK6,node1(black1,leaf1,sK2,sK0,sK1))
    | spl29_24 ),
    inference(avatar_component_clause,[],[f2212]) ).

tff(f2281,plain,
    spl29_22,
    inference(avatar_contradiction_clause,[],[f2280]) ).

tff(f2280,plain,
    ( $false
    | spl29_22 ),
    inference(subsumption_resolution,[],[f2279,f160]) ).

tff(f2279,plain,
    ( ~ gt_tree1(sK2,sK1)
    | spl29_22 ),
    inference(subsumption_resolution,[],[f2278,f161]) ).

tff(f2278,plain,
    ( ~ bst1(sK1)
    | ~ gt_tree1(sK2,sK1)
    | spl29_22 ),
    inference(subsumption_resolution,[],[f2277,f957]) ).

tff(f957,plain,
    bst1(leaf1),
    inference(cnf_transformation,[],[f43]) ).

tff(f43,axiom,
    bst1(leaf1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',bst_Leaf) ).

tff(f2277,plain,
    ( ~ bst1(leaf1)
    | ~ bst1(sK1)
    | ~ gt_tree1(sK2,sK1)
    | spl29_22 ),
    inference(subsumption_resolution,[],[f2273,f153]) ).

tff(f153,plain,
    ! [X0: $int] : lt_tree1(X0,leaf1),
    inference(cnf_transformation,[],[f103]) ).

tff(f103,plain,
    ! [X0: $int] : lt_tree1(X0,leaf1),
    inference(rectify,[],[f28]) ).

tff(f28,axiom,
    ! [X1: $int] : lt_tree1(X1,leaf1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',lt_leaf) ).

tff(f2273,plain,
    ( ~ lt_tree1(sK2,leaf1)
    | ~ bst1(sK1)
    | ~ gt_tree1(sK2,sK1)
    | ~ bst1(leaf1)
    | spl29_22 ),
    inference(resolution,[],[f2206,f947]) ).

tff(f2206,plain,
    ( ~ bst1(node1(black1,leaf1,sK2,sK0,sK1))
    | spl29_22 ),
    inference(avatar_component_clause,[],[f2204]) ).

tff(f2204,plain,
    ( spl29_22
  <=> bst1(node1(black1,leaf1,sK2,sK0,sK1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl29_22])]) ).

tff(f2228,plain,
    ( ~ spl29_22
    | ~ spl29_24
    | ~ spl29_26
    | ~ spl29_27
    | ~ spl29_13
    | spl29_15 ),
    inference(avatar_split_clause,[],[f2183,f1394,f1384,f2225,f2221,f2212,f2204]) ).

tff(f1394,plain,
    ( spl29_15
  <=> bst1(node1(red1,node1(black1,sK24,sK26,sK28,sK27),sK6,sK5,node1(black1,sK7,sK2,sK0,sK1))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl29_15])]) ).

tff(f2183,plain,
    ( ~ lt_tree1(sK6,node1(black1,sK24,sK26,sK28,sK27))
    | ~ bst1(node1(black1,sK24,sK26,sK28,sK27))
    | ~ gt_tree1(sK6,node1(black1,leaf1,sK2,sK0,sK1))
    | ~ bst1(node1(black1,leaf1,sK2,sK0,sK1))
    | ~ spl29_13
    | spl29_15 ),
    inference(resolution,[],[f947,f2118]) ).

tff(f2118,plain,
    ( ~ bst1(node1(red1,node1(black1,sK24,sK26,sK28,sK27),sK6,sK5,node1(black1,leaf1,sK2,sK0,sK1)))
    | ~ spl29_13
    | spl29_15 ),
    inference(backward_demodulation,[],[f1396,f1386]) ).

tff(f1396,plain,
    ( ~ bst1(node1(red1,node1(black1,sK24,sK26,sK28,sK27),sK6,sK5,node1(black1,sK7,sK2,sK0,sK1)))
    | spl29_15 ),
    inference(avatar_component_clause,[],[f1394]) ).

tff(f2040,plain,
    spl29_7,
    inference(avatar_split_clause,[],[f998,f1355]) ).

tff(f998,plain,
    red1 = sK4,
    inference(duplicate_literal_removal,[],[f490]) ).

tff(f490,plain,
    ( ( red1 = sK4 )
    | ( red1 = sK4 )
    | ( red1 = sK4 )
    | ( red1 = sK4 )
    | ( red1 = sK4 ) ),
    inference(cnf_transformation,[],[f137]) ).

tff(f1953,plain,
    ( ~ spl29_6
    | spl29_14
    | spl29_10
    | spl29_13 ),
    inference(avatar_split_clause,[],[f217,f1384,f1369,f1390,f1351]) ).

tff(f217,plain,
    ( ( leaf1 = sK7 )
    | ( node1(sK20,sK23,sK22,sK21,sK19) = sK8 )
    | ( black1 = sK13 )
    | ~ bst1(node1(red1,node1(black1,sK8,sK6,sK5,sK11),sK10,sK12,node1(black1,sK9,sK2,sK0,sK1))) ),
    inference(cnf_transformation,[],[f137]) ).

tff(f1904,plain,
    ( spl29_1
    | spl29_5
    | spl29_14
    | spl29_13
    | ~ spl29_6 ),
    inference(avatar_split_clause,[],[f287,f1351,f1384,f1390,f1346,f1330]) ).

tff(f287,plain,
    ( ~ bst1(node1(red1,node1(black1,sK8,sK6,sK5,sK11),sK10,sK12,node1(black1,sK9,sK2,sK0,sK1)))
    | ( leaf1 = sK7 )
    | ( black1 = sK13 )
    | ( red1 = sK20 )
    | ( leaf1 = sK8 ) ),
    inference(cnf_transformation,[],[f137]) ).

tff(f1855,plain,
    ( spl29_8
    | spl29_16
    | spl29_13 ),
    inference(avatar_split_clause,[],[f627,f1384,f1418,f1360]) ).

tff(f627,plain,
    ( ( leaf1 = sK7 )
    | ( red1 = sK13 )
    | ( node1(sK18,sK16,sK17,sK14,sK15) = sK8 ) ),
    inference(cnf_transformation,[],[f137]) ).

tff(f1834,plain,
    ( spl29_16
    | spl29_13
    | spl29_12 ),
    inference(avatar_split_clause,[],[f782,f1379,f1384,f1418]) ).

tff(f782,plain,
    ( ( red1 = sK18 )
    | ( leaf1 = sK7 )
    | ( red1 = sK13 ) ),
    inference(cnf_transformation,[],[f137]) ).

tff(f1829,plain,
    ( spl29_17
    | spl29_13 ),
    inference(avatar_split_clause,[],[f937,f1384,f1504]) ).

tff(f937,plain,
    ( ( leaf1 = sK7 )
    | ( node1(sK13,sK11,sK10,sK12,sK9) = sK7 ) ),
    inference(cnf_transformation,[],[f137]) ).

tff(f1734,plain,
    ( spl29_14
    | ~ spl29_6
    | spl29_13
    | ~ spl29_11 ),
    inference(avatar_split_clause,[],[f1164,f1374,f1384,f1351,f1390]) ).

tff(f1164,plain,
    ( ~ bst1(node1(red1,node1(black1,sK23,sK22,sK21,sK19),sK6,sK5,node1(black1,sK7,sK2,sK0,sK1)))
    | ( leaf1 = sK7 )
    | ~ bst1(node1(red1,node1(black1,sK8,sK6,sK5,sK11),sK10,sK12,node1(black1,sK9,sK2,sK0,sK1)))
    | ( black1 = sK13 ) ),
    inference(duplicate_literal_removal,[],[f252]) ).

tff(f252,plain,
    ( ( leaf1 = sK7 )
    | ( black1 = sK13 )
    | ~ bst1(node1(red1,node1(black1,sK8,sK6,sK5,sK11),sK10,sK12,node1(black1,sK9,sK2,sK0,sK1)))
    | ~ bst1(node1(red1,node1(black1,sK23,sK22,sK21,sK19),sK6,sK5,node1(black1,sK7,sK2,sK0,sK1)))
    | ~ bst1(node1(red1,node1(black1,sK8,sK6,sK5,sK11),sK10,sK12,node1(black1,sK9,sK2,sK0,sK1))) ),
    inference(cnf_transformation,[],[f137]) ).

tff(f1682,plain,
    ( spl29_17
    | spl29_3 ),
    inference(avatar_split_clause,[],[f941,f1338,f1504]) ).

tff(f941,plain,
    ( ( node1(sK25,sK24,sK26,sK28,sK27) = sK8 )
    | ( node1(sK13,sK11,sK10,sK12,sK9) = sK7 ) ),
    inference(cnf_transformation,[],[f137]) ).

tff(f1574,plain,
    ( ~ spl29_15
    | spl29_17 ),
    inference(avatar_split_clause,[],[f938,f1504,f1394]) ).

tff(f938,plain,
    ( ( node1(sK13,sK11,sK10,sK12,sK9) = sK7 )
    | ~ bst1(node1(red1,node1(black1,sK24,sK26,sK28,sK27),sK6,sK5,node1(black1,sK7,sK2,sK0,sK1))) ),
    inference(cnf_transformation,[],[f137]) ).

tff(f1571,plain,
    ( spl29_16
    | spl29_13
    | ~ spl29_4 ),
    inference(avatar_split_clause,[],[f317,f1342,f1384,f1418]) ).

tff(f317,plain,
    ( ~ bst1(node1(red1,node1(black1,sK16,sK17,sK14,sK15),sK6,sK5,node1(black1,sK7,sK2,sK0,sK1)))
    | ( leaf1 = sK7 )
    | ( red1 = sK13 ) ),
    inference(cnf_transformation,[],[f137]) ).

tff(f1507,plain,
    ( spl29_17
    | spl29_9 ),
    inference(avatar_split_clause,[],[f939,f1364,f1504]) ).

tff(f939,plain,
    ( ( red1 = sK25 )
    | ( node1(sK13,sK11,sK10,sK12,sK9) = sK7 ) ),
    inference(cnf_transformation,[],[f137]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12  % Problem    : SWW654=2 : TPTP v8.1.0. Released v6.1.0.
% 0.10/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.34  % Computer : n009.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit   : 300
% 0.13/0.34  % WCLimit    : 300
% 0.13/0.34  % DateTime   : Tue Aug 30 20:55:20 EDT 2022
% 0.13/0.34  % CPUTime    : 
% 0.20/0.56  % (18952)dis+32_1:1_bd=off:nm=4:sos=on:ss=included:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.56  % (18943)lrs+22_1:1_amm=sco:fsr=off:gve=force:sos=on:uwa=all:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.56  % (18935)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=32:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/32Mi)
% 0.20/0.57  % (18944)dis+20_1:12_aac=none:acc=model:awrs=converge:fd=preordered:fsr=off:nicw=on:nwc=3.0:s2a=on:s2agt=16:spb=goal:to=lpo:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.20/0.57  % (18936)lrs+1010_1:1_bd=off:fd=off:fde=none:ins=3:sac=on:sos=on:spb=goal:to=lpo:i=36:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/36Mi)
% 0.20/0.58  % (18944)Instruction limit reached!
% 0.20/0.58  % (18944)------------------------------
% 0.20/0.58  % (18944)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.58  % (18944)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.58  % (18944)Termination reason: Unknown
% 0.20/0.58  % (18944)Termination phase: Property scanning
% 0.20/0.58  
% 0.20/0.58  % (18944)Memory used [KB]: 1023
% 0.20/0.58  % (18944)Time elapsed: 0.005 s
% 0.20/0.58  % (18944)Instructions burned: 3 (million)
% 0.20/0.58  % (18944)------------------------------
% 0.20/0.58  % (18944)------------------------------
% 0.20/0.58  % (18951)dis+2_1:1_av=off:bsr=on:erd=off:s2pl=on:sgt=16:sos=on:sp=frequency:ss=axioms:i=46:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/46Mi)
% 0.20/0.62  % (18947)lrs+10_1:1_ss=axioms:st=5.0:tha=off:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/15Mi)
% 0.20/0.62  % (18934)lrs+10_1:32_s2a=on:s2agt=10:sgt=8:ss=axioms:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/15Mi)
% 2.09/0.63  % (18935)Instruction limit reached!
% 2.09/0.63  % (18935)------------------------------
% 2.09/0.63  % (18935)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.09/0.63  % (18957)dis+1011_1:1_bd=off:canc=force:ev=cautious:nwc=5.0:i=21:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/21Mi)
% 2.09/0.63  % (18936)Instruction limit reached!
% 2.09/0.63  % (18936)------------------------------
% 2.09/0.63  % (18936)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.09/0.63  % (18932)ott+21_1:1_erd=off:s2a=on:sac=on:sd=1:sgt=64:sos=on:ss=included:st=3.0:to=lpo:urr=on:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 2.09/0.63  % (18936)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.09/0.63  % (18936)Termination reason: Unknown
% 2.09/0.63  % (18936)Termination phase: Saturation
% 2.09/0.63  
% 2.09/0.63  % (18955)lrs+1_3:1_ep=RSTC:sos=on:urr=on:i=43:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/43Mi)
% 2.09/0.63  % (18936)Memory used [KB]: 6140
% 2.09/0.63  % (18936)Time elapsed: 0.188 s
% 2.09/0.63  % (18936)Instructions burned: 36 (million)
% 2.09/0.63  % (18936)------------------------------
% 2.09/0.63  % (18936)------------------------------
% 2.09/0.63  % (18932)Instruction limit reached!
% 2.09/0.63  % (18932)------------------------------
% 2.09/0.63  % (18932)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.09/0.63  % (18932)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.09/0.63  % (18932)Termination reason: Unknown
% 2.09/0.63  % (18932)Termination phase: Property scanning
% 2.09/0.63  
% 2.09/0.63  % (18932)Memory used [KB]: 1023
% 2.09/0.63  % (18932)Time elapsed: 0.003 s
% 2.09/0.63  % (18932)Instructions burned: 3 (million)
% 2.09/0.63  % (18932)------------------------------
% 2.09/0.63  % (18932)------------------------------
% 2.09/0.63  % (18933)ott+1011_1:2_br=off:bs=unit_only:bsr=unit_only:nwc=5.0:s2a=on:s2agt=32:urr=on:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 2.09/0.63  % (18958)dis+20_1:12_aac=none:acc=model:awrs=converge:fd=preordered:fsr=off:nicw=on:nwc=3.0:s2a=on:s2agt=16:spb=goal:to=lpo:i=41:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/41Mi)
% 2.09/0.63  % (18954)lrs+1002_1:1_br=off:canc=force:drc=off:s2a=on:sos=on:sp=reverse_frequency:urr=on:i=42:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/42Mi)
% 2.09/0.63  % (18939)lrs+10_1:1_canc=force:tha=some:to=lpo:i=35:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/35Mi)
% 2.09/0.64  % (18935)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.09/0.64  % (18935)Termination reason: Unknown
% 2.09/0.64  % (18935)Termination phase: Saturation
% 2.09/0.64  
% 2.09/0.64  % (18935)Memory used [KB]: 6268
% 2.09/0.64  % (18935)Time elapsed: 0.181 s
% 2.09/0.64  % (18935)Instructions burned: 32 (million)
% 2.09/0.64  % (18935)------------------------------
% 2.09/0.64  % (18935)------------------------------
% 2.09/0.64  % (18931)dis+1011_1:64_drc=off:flr=on:nwc=2.0:sac=on:urr=ec_only:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/8Mi)
% 2.09/0.64  % (18940)dis+32_1:1_bd=off:nm=4:sos=on:ss=included:i=4:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/4Mi)
% 2.09/0.64  % (18956)dis+10_1:64_nwc=1.4:tha=off:i=21:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/21Mi)
% 2.09/0.64  % (18942)dis+10_1:64_nwc=1.4:tha=off:i=21:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/21Mi)
% 2.09/0.64  % (18941)lrs+10_1:1_ep=R:gve=force:plsq=on:plsqr=32,1:uwa=one_side_interpreted:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 2.09/0.64  % (18948)lrs+10_1:1_sd=10:sos=all:ss=axioms:st=5.0:tha=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 2.09/0.64  % (18948)Instruction limit reached!
% 2.09/0.64  % (18948)------------------------------
% 2.09/0.64  % (18948)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.09/0.64  % (18941)Instruction limit reached!
% 2.09/0.64  % (18941)------------------------------
% 2.09/0.64  % (18941)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.09/0.64  % (18941)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.09/0.64  % (18941)Termination reason: Unknown
% 2.09/0.64  % (18941)Termination phase: Including theory axioms
% 2.09/0.64  
% 2.09/0.64  % (18941)Memory used [KB]: 1023
% 2.09/0.64  % (18941)Time elapsed: 0.003 s
% 2.09/0.64  % (18941)Instructions burned: 3 (million)
% 2.09/0.64  % (18941)------------------------------
% 2.09/0.64  % (18941)------------------------------
% 2.09/0.64  % (18931)Instruction limit reached!
% 2.09/0.64  % (18931)------------------------------
% 2.09/0.64  % (18931)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.09/0.64  % (18931)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.09/0.64  % (18931)Termination reason: Unknown
% 2.09/0.64  % (18931)Termination phase: Property scanning
% 2.09/0.64  
% 2.09/0.64  % (18931)Memory used [KB]: 1151
% 2.09/0.64  % (18931)Time elapsed: 0.007 s
% 2.09/0.64  % (18931)Instructions burned: 8 (million)
% 2.09/0.64  % (18931)------------------------------
% 2.09/0.64  % (18931)------------------------------
% 2.09/0.64  % (18950)dis+10_1:64_nwc=1.4:rp=on:tha=off:i=21:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/21Mi)
% 2.09/0.64  % (18949)dis+1002_1:5_av=off:nwc=2.0:sos=all:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/15Mi)
% 2.09/0.64  % (18938)lrs+10_1:8_ep=R:erd=off:fs=off:fsr=off:gve=force:nwc=2.0:uwa=one_side_interpreted:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 2.09/0.64  % (18938)Instruction limit reached!
% 2.09/0.64  % (18938)------------------------------
% 2.09/0.64  % (18938)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.09/0.64  % (18938)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.09/0.64  % (18938)Termination reason: Unknown
% 2.09/0.64  % (18938)Termination phase: Property scanning
% 2.09/0.64  
% 2.09/0.64  % (18938)Memory used [KB]: 1023
% 2.09/0.64  % (18938)Time elapsed: 0.003 s
% 2.09/0.64  % (18938)Instructions burned: 2 (million)
% 2.09/0.64  % (18938)------------------------------
% 2.09/0.64  % (18938)------------------------------
% 2.09/0.64  % (18946)dis+21_1:1_aac=none:abs=on:er=known:fde=none:fsr=off:nwc=5.0:s2a=on:s2at=4.0:sp=const_frequency:to=lpo:urr=ec_only:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/49Mi)
% 2.09/0.64  % (18948)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.09/0.64  % (18948)Termination reason: Unknown
% 2.09/0.64  % (18948)Termination phase: Property scanning
% 2.09/0.64  
% 2.09/0.64  % (18948)Memory used [KB]: 1023
% 2.09/0.64  % (18948)Time elapsed: 0.004 s
% 2.09/0.64  % (18948)Instructions burned: 2 (million)
% 2.09/0.64  % (18948)------------------------------
% 2.09/0.64  % (18948)------------------------------
% 2.09/0.64  % (18940)Instruction limit reached!
% 2.09/0.64  % (18940)------------------------------
% 2.09/0.64  % (18940)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.09/0.64  % (18940)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.09/0.64  % (18940)Termination reason: Unknown
% 2.09/0.64  % (18940)Termination phase: SInE selection
% 2.09/0.64  
% 2.09/0.64  % (18940)Memory used [KB]: 1023
% 2.09/0.64  % (18940)Time elapsed: 0.006 s
% 2.09/0.64  % (18940)Instructions burned: 4 (million)
% 2.09/0.64  % (18940)------------------------------
% 2.09/0.64  % (18940)------------------------------
% 2.35/0.65  % (18951)Instruction limit reached!
% 2.35/0.65  % (18951)------------------------------
% 2.35/0.65  % (18951)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.35/0.65  % (18951)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.35/0.65  % (18951)Termination reason: Unknown
% 2.35/0.65  % (18951)Termination phase: Saturation
% 2.35/0.65  
% 2.35/0.65  % (18951)Memory used [KB]: 1791
% 2.35/0.65  % (18951)Time elapsed: 0.213 s
% 2.35/0.65  % (18951)Instructions burned: 47 (million)
% 2.35/0.65  % (18951)------------------------------
% 2.35/0.65  % (18951)------------------------------
% 2.35/0.65  % (18930)lrs+1010_1:1_aac=none:bce=on:nicw=on:nm=0:plsq=on:plsql=on:sac=on:sos=on:sp=frequency:spb=units:to=lpo:i=34:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/34Mi)
% 2.35/0.65  % (18934)Instruction limit reached!
% 2.35/0.65  % (18934)------------------------------
% 2.35/0.65  % (18934)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.35/0.65  % (18934)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.35/0.65  % (18934)Termination reason: Unknown
% 2.35/0.65  % (18934)Termination phase: Saturation
% 2.35/0.65  
% 2.35/0.65  % (18934)Memory used [KB]: 5756
% 2.35/0.65  % (18934)Time elapsed: 0.012 s
% 2.35/0.65  % (18934)Instructions burned: 15 (million)
% 2.35/0.65  % (18934)------------------------------
% 2.35/0.65  % (18934)------------------------------
% 2.35/0.65  % (18929)dis+1010_1:4_aac=none:abs=on:atotf=0.5:avsq=on:avsqc=2:avsqr=215,247:awrs=converge:awrsf=128:bsd=on:erd=off:fde=none:gve=cautious:newcnf=on:nwc=5.0:rnwc=on:sac=on:sas=z3:sp=const_min:tgt=ground:thsq=on:thsqc=64:thsqr=1,4:i=59848:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59848Mi)
% 2.35/0.66  % (18956)Instruction limit reached!
% 2.35/0.66  % (18956)------------------------------
% 2.35/0.66  % (18956)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.35/0.66  % (18956)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.35/0.66  % (18956)Termination reason: Unknown
% 2.35/0.66  % (18956)Termination phase: Saturation
% 2.35/0.66  
% 2.35/0.66  % (18956)Memory used [KB]: 5884
% 2.35/0.66  % (18956)Time elapsed: 0.229 s
% 2.35/0.66  % (18956)Instructions burned: 21 (million)
% 2.35/0.66  % (18956)------------------------------
% 2.35/0.66  % (18956)------------------------------
% 2.35/0.66  % (18945)lrs+10_1:1_ev=force:gve=cautious:tha=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 2.37/0.67  % (18953)lrs+1_1:10_av=off:drc=off:nwc=2.0:sp=reverse_frequency:thsq=on:thsqc=64:thsql=off:i=47:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/47Mi)
% 2.37/0.67  % (18947)Instruction limit reached!
% 2.37/0.67  % (18947)------------------------------
% 2.37/0.67  % (18947)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.37/0.67  % (18947)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.37/0.67  % (18947)Termination reason: Unknown
% 2.37/0.67  % (18947)Termination phase: Saturation
% 2.37/0.67  
% 2.37/0.67  % (18947)Memory used [KB]: 5884
% 2.37/0.67  % (18947)Time elapsed: 0.220 s
% 2.37/0.67  % (18947)Instructions burned: 15 (million)
% 2.37/0.67  % (18947)------------------------------
% 2.37/0.67  % (18947)------------------------------
% 2.37/0.67  % (18952)Instruction limit reached!
% 2.37/0.67  % (18952)------------------------------
% 2.37/0.67  % (18952)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.37/0.67  % (18952)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.37/0.67  % (18952)Termination reason: Unknown
% 2.37/0.67  % (18952)Termination phase: Saturation
% 2.37/0.67  
% 2.37/0.67  % (18952)Memory used [KB]: 6140
% 2.37/0.67  % (18952)Time elapsed: 0.245 s
% 2.37/0.67  % (18952)Instructions burned: 51 (million)
% 2.37/0.67  % (18952)------------------------------
% 2.37/0.67  % (18952)------------------------------
% 2.37/0.67  % (18937)lrs+1010_1:1_ep=RST:s2a=on:s2at=5.0:sos=all:i=26:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/26Mi)
% 2.37/0.67  % (18945)Instruction limit reached!
% 2.37/0.67  % (18945)------------------------------
% 2.37/0.67  % (18945)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.37/0.67  % (18945)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.37/0.67  % (18945)Termination reason: Unknown
% 2.37/0.67  % (18945)Termination phase: Property scanning
% 2.37/0.67  
% 2.37/0.67  % (18945)Memory used [KB]: 1023
% 2.37/0.67  % (18945)Time elapsed: 0.003 s
% 2.37/0.67  % (18945)Instructions burned: 3 (million)
% 2.37/0.67  % (18945)------------------------------
% 2.37/0.67  % (18945)------------------------------
% 2.37/0.67  % (18949)Instruction limit reached!
% 2.37/0.67  % (18949)------------------------------
% 2.37/0.67  % (18949)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.37/0.67  % (18949)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.37/0.67  % (18949)Termination reason: Unknown
% 2.37/0.67  % (18949)Termination phase: Saturation
% 2.37/0.67  
% 2.37/0.67  % (18949)Memory used [KB]: 1407
% 2.37/0.67  % (18949)Time elapsed: 0.248 s
% 2.37/0.67  % (18949)Instructions burned: 16 (million)
% 2.37/0.67  % (18949)------------------------------
% 2.37/0.67  % (18949)------------------------------
% 2.37/0.68  % (18943)Instruction limit reached!
% 2.37/0.68  % (18943)------------------------------
% 2.37/0.68  % (18943)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.37/0.68  % (18943)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.37/0.68  % (18943)Termination reason: Unknown
% 2.37/0.68  % (18943)Termination phase: Saturation
% 2.37/0.68  
% 2.37/0.68  % (18943)Memory used [KB]: 7164
% 2.37/0.68  % (18943)Time elapsed: 0.244 s
% 2.37/0.68  % (18943)Instructions burned: 51 (million)
% 2.37/0.68  % (18943)------------------------------
% 2.37/0.68  % (18943)------------------------------
% 2.37/0.69  % (18957)Instruction limit reached!
% 2.37/0.69  % (18957)------------------------------
% 2.37/0.69  % (18957)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.37/0.69  % (18957)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.37/0.69  % (18957)Termination reason: Unknown
% 2.37/0.69  % (18957)Termination phase: Saturation
% 2.37/0.69  
% 2.37/0.69  % (18957)Memory used [KB]: 5884
% 2.37/0.69  % (18957)Time elapsed: 0.262 s
% 2.37/0.69  % (18957)Instructions burned: 21 (million)
% 2.37/0.69  % (18957)------------------------------
% 2.37/0.69  % (18957)------------------------------
% 2.37/0.69  % (18942)Instruction limit reached!
% 2.37/0.69  % (18942)------------------------------
% 2.37/0.69  % (18942)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.37/0.69  % (18942)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.37/0.69  % (18942)Termination reason: Unknown
% 2.37/0.69  % (18942)Termination phase: Saturation
% 2.37/0.69  
% 2.37/0.69  % (18942)Memory used [KB]: 5884
% 2.37/0.69  % (18942)Time elapsed: 0.267 s
% 2.37/0.69  % (18942)Instructions burned: 22 (million)
% 2.37/0.69  % (18942)------------------------------
% 2.37/0.69  % (18942)------------------------------
% 2.37/0.71  % (18950)Instruction limit reached!
% 2.37/0.71  % (18950)------------------------------
% 2.37/0.71  % (18950)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.37/0.71  % (18950)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.37/0.71  % (18950)Termination reason: Unknown
% 2.37/0.71  % (18950)Termination phase: Saturation
% 2.37/0.71  
% 2.37/0.71  % (18950)Memory used [KB]: 5884
% 2.37/0.71  % (18950)Time elapsed: 0.278 s
% 2.37/0.71  % (18950)Instructions burned: 22 (million)
% 2.37/0.71  % (18950)------------------------------
% 2.37/0.71  % (18950)------------------------------
% 2.37/0.71  % (18939)Instruction limit reached!
% 2.37/0.71  % (18939)------------------------------
% 2.37/0.71  % (18939)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.37/0.71  % (18939)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.37/0.71  % (18939)Termination reason: Unknown
% 2.37/0.71  % (18939)Termination phase: Saturation
% 2.37/0.71  
% 2.37/0.71  % (18939)Memory used [KB]: 6140
% 2.37/0.71  % (18939)Time elapsed: 0.284 s
% 2.37/0.71  % (18939)Instructions burned: 36 (million)
% 2.37/0.71  % (18939)------------------------------
% 2.37/0.71  % (18939)------------------------------
% 2.37/0.71  % (18930)Instruction limit reached!
% 2.37/0.71  % (18930)------------------------------
% 2.37/0.71  % (18930)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.37/0.71  % (18930)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.37/0.71  % (18930)Termination reason: Unknown
% 2.37/0.71  % (18930)Termination phase: Property scanning
% 2.37/0.71  
% 2.37/0.71  % (18930)Memory used [KB]: 1407
% 2.37/0.71  % (18930)Time elapsed: 0.020 s
% 2.37/0.71  % (18930)Instructions burned: 34 (million)
% 2.37/0.71  % (18930)------------------------------
% 2.37/0.71  % (18930)------------------------------
% 2.73/0.71  % (18955)Instruction limit reached!
% 2.73/0.71  % (18955)------------------------------
% 2.73/0.71  % (18955)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.73/0.71  % (18955)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.73/0.71  % (18955)Termination reason: Unknown
% 2.73/0.71  % (18955)Termination phase: Saturation
% 2.73/0.71  
% 2.73/0.71  % (18955)Memory used [KB]: 6780
% 2.73/0.71  % (18955)Time elapsed: 0.255 s
% 2.73/0.71  % (18955)Instructions burned: 44 (million)
% 2.73/0.71  % (18955)------------------------------
% 2.73/0.71  % (18955)------------------------------
% 2.73/0.74  % (18933)Instruction limit reached!
% 2.73/0.74  % (18933)------------------------------
% 2.73/0.74  % (18933)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.73/0.74  % (18933)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.73/0.74  % (18933)Termination reason: Unknown
% 2.73/0.74  % (18933)Termination phase: Saturation
% 2.73/0.74  
% 2.73/0.74  % (18933)Memory used [KB]: 6268
% 2.73/0.74  % (18933)Time elapsed: 0.307 s
% 2.73/0.74  % (18933)Instructions burned: 38 (million)
% 2.73/0.74  % (18933)------------------------------
% 2.73/0.74  % (18933)------------------------------
% 2.81/0.75  % (18937)Instruction limit reached!
% 2.81/0.75  % (18937)------------------------------
% 2.81/0.75  % (18937)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.81/0.75  % (18937)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.81/0.75  % (18937)Termination reason: Unknown
% 2.81/0.75  % (18937)Termination phase: Saturation
% 2.81/0.75  
% 2.81/0.75  % (18937)Memory used [KB]: 6012
% 2.81/0.75  % (18937)Time elapsed: 0.299 s
% 2.81/0.75  % (18937)Instructions burned: 27 (million)
% 2.81/0.75  % (18937)------------------------------
% 2.81/0.75  % (18937)------------------------------
% 2.81/0.75  % (18954)Instruction limit reached!
% 2.81/0.75  % (18954)------------------------------
% 2.81/0.75  % (18954)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.81/0.75  % (18954)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.81/0.75  % (18954)Termination reason: Unknown
% 2.81/0.75  % (18954)Termination phase: Saturation
% 2.81/0.75  
% 2.81/0.75  % (18954)Memory used [KB]: 6396
% 2.81/0.75  % (18954)Time elapsed: 0.268 s
% 2.81/0.75  % (18954)Instructions burned: 42 (million)
% 2.81/0.75  % (18954)------------------------------
% 2.81/0.75  % (18954)------------------------------
% 2.81/0.75  % (18958)Instruction limit reached!
% 2.81/0.75  % (18958)------------------------------
% 2.81/0.75  % (18958)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.81/0.75  % (18958)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.81/0.75  % (18958)Termination reason: Unknown
% 2.81/0.75  % (18958)Termination phase: Saturation
% 2.81/0.75  
% 2.81/0.75  % (18958)Memory used [KB]: 6268
% 2.81/0.75  % (18958)Time elapsed: 0.307 s
% 2.81/0.75  % (18958)Instructions burned: 42 (million)
% 2.81/0.75  % (18958)------------------------------
% 2.81/0.75  % (18958)------------------------------
% 2.81/0.78  % (18946)Instruction limit reached!
% 2.81/0.78  % (18946)------------------------------
% 2.81/0.78  % (18946)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.81/0.78  % (18946)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.81/0.78  % (18946)Termination reason: Unknown
% 2.81/0.78  % (18946)Termination phase: Saturation
% 2.81/0.78  
% 2.81/0.78  % (18946)Memory used [KB]: 6268
% 2.81/0.78  % (18946)Time elapsed: 0.294 s
% 2.81/0.78  % (18946)Instructions burned: 49 (million)
% 2.81/0.78  % (18946)------------------------------
% 2.81/0.78  % (18946)------------------------------
% 2.81/0.78  % (18973)lrs+10_1:3_add=large:afr=on:anc=all_dependent:avsq=on:avsqr=21,226:awrs=decay:awrsf=47:br=off:bsd=on:canc=cautious:cond=fast:fd=preordered:fsd=on:fsr=off:gs=on:gve=force:ins=1:lma=on:s2agt=4:s2at=1.9:sas=z3:slsq=on:slsqc=1:slsqr=13,121:sp=reverse_arity:tha=some:to=lpo:uace=off:uhcvi=on:updr=off:urr=ec_only:i=108:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/108Mi)
% 2.81/0.79  % (18953)Instruction limit reached!
% 2.81/0.79  % (18953)------------------------------
% 2.81/0.79  % (18953)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.81/0.79  % (18953)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.81/0.79  % (18953)Termination reason: Unknown
% 2.81/0.79  % (18953)Termination phase: Saturation
% 2.81/0.79  
% 2.81/0.79  % (18953)Memory used [KB]: 1663
% 2.81/0.79  % (18953)Time elapsed: 0.359 s
% 2.81/0.79  % (18953)Instructions burned: 47 (million)
% 2.81/0.79  % (18953)------------------------------
% 2.81/0.79  % (18953)------------------------------
% 2.81/0.81  % (18959)lrs+10_1:1_ss=axioms:st=5.0:tha=off:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/15Mi)
% 2.81/0.82  % (18975)lrs+1011_4:1_abs=on:afp=20:amm=off:anc=all:bd=off:br=off:canc=force:s2a=on:sas=z3:slsq=on:urr=on:i=494:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/494Mi)
% 2.81/0.82  % (18977)lrs+10_1:1_newcnf=on:sas=z3:tgt=ground:tha=off:i=223:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/223Mi)
% 2.93/0.84  % (18959)Instruction limit reached!
% 2.93/0.84  % (18959)------------------------------
% 2.93/0.84  % (18959)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.93/0.84  % (18959)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.93/0.84  % (18959)Termination reason: Unknown
% 2.93/0.84  % (18959)Termination phase: Saturation
% 2.93/0.84  
% 2.93/0.84  % (18959)Memory used [KB]: 5884
% 2.93/0.84  % (18959)Time elapsed: 0.182 s
% 2.93/0.84  % (18959)Instructions burned: 16 (million)
% 2.93/0.84  % (18959)------------------------------
% 2.93/0.84  % (18959)------------------------------
% 2.93/0.84  % (18978)lrs+1002_1:1_av=off:br=off:fs=off:fsr=off:tha=off:urr=ec_only:i=343:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/343Mi)
% 2.93/0.84  % (18985)dis+10_1:1_aac=none:abs=on:bce=on:bd=off:bsr=unit_only:drc=off:fd=preordered:fsd=on:gve=cautious:lcm=reverse:nm=16:plsq=on:plsqc=1:plsqr=232,15:sfv=off:slsq=on:slsql=off:slsqr=3,2:sos=on:sp=weighted_frequency:i=81:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/81Mi)
% 2.93/0.87  % (18967)lrs+1010_1:1_aac=none:bce=on:nicw=on:nm=0:plsq=on:plsql=on:sac=on:sos=on:sp=frequency:spb=units:to=lpo:i=148:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/148Mi)
% 2.93/0.87  % (18971)lrs+22_1:1_amm=sco:fsr=off:gve=force:sos=on:uwa=all:i=58:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/58Mi)
% 2.93/0.87  % (18966)dis+10_1:64_nwc=1.4:rp=on:tha=off:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/25Mi)
% 2.95/0.88  % (18965)lrs+1_1:1_aac=none:acc=on:add=large:bd=off:bs=unit_only:bsr=on:cond=on:nm=0:sac=on:sd=3:sos=on:ss=axioms:st=2.0:i=47:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/47Mi)
% 2.95/0.88  % (18970)ott+21_1:1_bd=off:bsr=unit_only:drc=off:fd=preordered:fsr=off:nwc=3.0:sac=on:to=lpo:urr=on:i=76:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/76Mi)
% 2.95/0.89  % (18974)lrs+10_1:1_plsq=on:plsqc=1:plsqr=32,1:tha=off:thi=overlap:i=463:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/463Mi)
% 2.95/0.90  % (18990)lrs+1002_1:1_nm=0:sd=1:ss=axioms:urr=ec_only:i=330:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/330Mi)
% 2.95/0.91  % (18988)ott+21_1:1_erd=off:s2a=on:sac=on:sd=1:sgt=64:sos=on:ss=included:st=3.0:to=lpo:urr=on:i=211:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/211Mi)
% 2.95/0.91  % (18992)lrs+11_1:1_erd=off:fs=off:fsr=off:norm_ineq=on:nwc=10.0:s2a=on:s2at=3.0:sas=z3:tha=some:i=294:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/294Mi)
% 2.95/0.91  % (18979)lrs+1011_1:1_br=off:fs=off:fsr=off:tha=off:urr=ec_only:i=488:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/488Mi)
% 2.95/0.92  % (18980)lrs+1010_5:1_aer=off:norm_ineq=on:sas=z3:sos=all:ss=axioms:tha=off:i=150:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/150Mi)
% 2.95/0.93  % (18982)dis+10_1:1_bd=off:fde=unused:gsp=on:ins=1:norm_ineq=on:sas=z3:sos=all:tha=off:i=370:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/370Mi)
% 2.95/0.93  % (18966)Instruction limit reached!
% 2.95/0.93  % (18966)------------------------------
% 2.95/0.93  % (18966)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.95/0.93  % (18966)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.95/0.93  % (18966)Termination reason: Unknown
% 2.95/0.93  % (18966)Termination phase: Saturation
% 2.95/0.93  
% 2.95/0.93  % (18966)Memory used [KB]: 5884
% 2.95/0.93  % (18966)Time elapsed: 0.239 s
% 2.95/0.93  % (18966)Instructions burned: 25 (million)
% 2.95/0.93  % (18966)------------------------------
% 2.95/0.93  % (18966)------------------------------
% 3.04/0.95  % (18989)dis+1010_1:1_s2a=on:sp=frequency:to=lpo:i=274:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/274Mi)
% 3.04/0.95  % (18985)Instruction limit reached!
% 3.04/0.95  % (18985)------------------------------
% 3.04/0.95  % (18985)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.04/0.95  % (18985)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.04/0.95  % (18985)Termination reason: Unknown
% 3.04/0.95  % (18985)Termination phase: Saturation
% 3.04/0.95  
% 3.04/0.95  % (18985)Memory used [KB]: 6652
% 3.04/0.95  % (18985)Time elapsed: 0.165 s
% 3.04/0.95  % (18985)Instructions burned: 82 (million)
% 3.04/0.95  % (18985)------------------------------
% 3.04/0.95  % (18985)------------------------------
% 3.04/0.96  % (18973)Instruction limit reached!
% 3.04/0.96  % (18973)------------------------------
% 3.04/0.96  % (18973)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.04/0.96  % (18973)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.04/0.96  % (18973)Termination reason: Unknown
% 3.04/0.96  % (18973)Termination phase: Saturation
% 3.04/0.96  
% 3.04/0.96  % (18973)Memory used [KB]: 6140
% 3.04/0.96  % (18973)Time elapsed: 0.068 s
% 3.04/0.96  % (18973)Instructions burned: 109 (million)
% 3.04/0.96  % (18973)------------------------------
% 3.04/0.96  % (18973)------------------------------
% 3.28/0.96  % (18965)Instruction limit reached!
% 3.28/0.96  % (18965)------------------------------
% 3.28/0.96  % (18965)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.28/0.96  % (18965)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.28/0.96  % (18965)Termination reason: Unknown
% 3.28/0.96  % (18965)Termination phase: Property scanning
% 3.28/0.96  
% 3.28/0.96  % (18965)Memory used [KB]: 1279
% 3.28/0.96  % (18965)Time elapsed: 0.026 s
% 3.28/0.96  % (18965)Instructions burned: 47 (million)
% 3.28/0.96  % (18965)------------------------------
% 3.28/0.96  % (18965)------------------------------
% 3.28/0.97  % (18969)lrs+10_1:1_acc=model:br=off:ins=1:newcnf=on:nwc=5.0:s2a=on:sac=on:sp=frequency:to=lpo:urr=on:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/100Mi)
% 3.28/0.98  % (18994)dis+1002_1:1_aac=none:abs=on:nicw=on:sac=on:sas=z3:tgt=ground:tha=some:to=lpo:i=374:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/374Mi)
% 3.28/0.99  % (18997)ins+10_1:32_fd=off:fs=off:fsr=off:igrr=4/7:igwr=on:urr=ec_only:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/500Mi)
% 3.28/0.99  % (18972)lrs+10_1:1_thi=all:thigen=on:i=96:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/96Mi)
% 3.38/1.03  % (18981)lrs+1011_1:1_br=off:fde=none:norm_ineq=on:nwc=10.0:sas=z3:slsq=on:slsqc=2:slsql=off:slsqr=1,4:sp=reverse_frequency:i=160:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/160Mi)
% 3.38/1.04  % (19001)lrs+10_1:1_abs=on:ev=cautious:nwc=10.0:s2a=on:sas=z3:tha=off:thi=all:thigen=on:i=230:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/230Mi)
% 3.38/1.04  % (19000)lrs+1011_1:1_br=off:fs=off:fsr=off:tha=off:urr=ec_only:i=488:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/488Mi)
% 3.38/1.04  % (18971)Instruction limit reached!
% 3.38/1.04  % (18971)------------------------------
% 3.38/1.04  % (18971)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.38/1.04  % (18971)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.38/1.04  % (18971)Termination reason: Unknown
% 3.38/1.04  % (18971)Termination phase: Saturation
% 3.38/1.04  
% 3.38/1.04  % (18971)Memory used [KB]: 7036
% 3.38/1.04  % (18971)Time elapsed: 0.310 s
% 3.38/1.04  % (18971)Instructions burned: 58 (million)
% 3.38/1.04  % (18971)------------------------------
% 3.38/1.04  % (18971)------------------------------
% 3.47/1.05  % (18983)lrs+1010_5:1_norm_ineq=on:sas=z3:sos=all:ss=axioms:tha=off:i=493:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/493Mi)
% 3.47/1.07  % (18987)lrs+10_1:1_amm=sco:norm_ineq=on:nwc=3.0:plsq=on:plsqc=2:plsqr=32,1:sas=z3:sp=const_min:tha=off:to=lpo:i=146:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/146Mi)
% 3.47/1.08  % (18970)Instruction limit reached!
% 3.47/1.08  % (18970)------------------------------
% 3.47/1.08  % (18970)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.47/1.08  % (18970)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.47/1.08  % (18970)Termination reason: Unknown
% 3.47/1.08  % (18970)Termination phase: Saturation
% 3.47/1.08  
% 3.47/1.08  % (18970)Memory used [KB]: 6780
% 3.47/1.08  % (18970)Time elapsed: 0.383 s
% 3.47/1.08  % (18970)Instructions burned: 76 (million)
% 3.47/1.08  % (18970)------------------------------
% 3.47/1.08  % (18970)------------------------------
% 3.47/1.08  % (19006)lrs+1010_1:1_bsr=unit_only:cond=on:flr=on:newcnf=on:nwc=10.0:sas=z3:to=lpo:i=360:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/360Mi)
% 3.47/1.10  % (18993)lrs+30_1:64_flr=on:sp=frequency:to=lpo:i=213:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/213Mi)
% 3.47/1.14  % (19013)dis+10_1:1_sgt=16:sos=on:spb=goal:ss=axioms:i=1006:si=on:rawr=on:rtra=on_0 on theBenchmark for (2993ds/1006Mi)
% 3.47/1.15  % (18967)Instruction limit reached!
% 3.47/1.15  % (18967)------------------------------
% 3.47/1.15  % (18967)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.47/1.15  % (18967)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.47/1.15  % (18967)Termination reason: Unknown
% 3.47/1.15  % (18967)Termination phase: Saturation
% 3.47/1.15  
% 3.47/1.15  % (18967)Memory used [KB]: 6396
% 3.47/1.15  % (18967)Time elapsed: 0.084 s
% 3.47/1.15  % (18967)Instructions burned: 149 (million)
% 3.47/1.15  % (18967)------------------------------
% 3.47/1.15  % (18967)------------------------------
% 3.47/1.15  % (18975)Instruction limit reached!
% 3.47/1.15  % (18975)------------------------------
% 3.47/1.15  % (18975)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.47/1.15  % (18975)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.47/1.15  % (18975)Termination reason: Unknown
% 3.47/1.15  % (18975)Termination phase: Saturation
% 3.47/1.15  
% 3.47/1.15  % (18975)Memory used [KB]: 3709
% 3.47/1.15  % (18975)Time elapsed: 0.422 s
% 3.47/1.15  % (18975)Instructions burned: 494 (million)
% 3.47/1.15  % (18975)------------------------------
% 3.47/1.15  % (18975)------------------------------
% 6.32/1.18  % (19011)dis+31_1:1_lcm=reverse:norm_ineq=on:nwc=10.0:sas=z3:tha=off:urr=on:i=382:si=on:rawr=on:rtra=on_0 on theBenchmark for (2994ds/382Mi)
% 6.32/1.18  % (18977)Refutation not found, non-redundant clauses discarded% (18977)------------------------------
% 6.32/1.18  % (18977)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 6.32/1.18  % (18977)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 6.32/1.18  % (18977)Termination reason: Refutation not found, non-redundant clauses discarded
% 6.32/1.18  
% 6.32/1.18  % (18977)Memory used [KB]: 1918
% 6.32/1.18  % (18977)Time elapsed: 0.414 s
% 6.32/1.18  % (18977)Instructions burned: 221 (million)
% 6.32/1.18  % (18977)------------------------------
% 6.32/1.18  % (18977)------------------------------
% 6.32/1.18  % (19015)dis+1004_1:3_av=off:bs=on:plsq=on:i=3721:si=on:rawr=on:rtra=on_0 on theBenchmark for (2993ds/3721Mi)
% 6.74/1.22  % (18980)Instruction limit reached!
% 6.74/1.22  % (18980)------------------------------
% 6.74/1.22  % (18980)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 6.74/1.22  % (18980)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 6.74/1.22  % (18980)Termination reason: Unknown
% 6.74/1.22  % (18980)Termination phase: Saturation
% 6.74/1.22  
% 6.74/1.22  % (18980)Memory used [KB]: 1535
% 6.74/1.22  % (18980)Time elapsed: 0.473 s
% 6.74/1.22  % (18980)Instructions burned: 150 (million)
% 6.74/1.22  % (18980)------------------------------
% 6.74/1.22  % (18980)------------------------------
% 6.74/1.25  % (18990)First to succeed.
% 6.74/1.27  % (19012)lrs+10_1:1_av=off:fde=none:lwlo=on:nwc=10.0:i=256:si=on:rawr=on:rtra=on_0 on theBenchmark for (2993ds/256Mi)
% 7.22/1.28  % (18990)Refutation found. Thanks to Tanya!
% 7.22/1.28  % SZS status Theorem for theBenchmark
% 7.22/1.28  % SZS output start Proof for theBenchmark
% See solution above
% 7.22/1.29  % (18990)------------------------------
% 7.22/1.29  % (18990)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 7.22/1.29  % (18990)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 7.22/1.29  % (18990)Termination reason: Refutation
% 7.22/1.29  
% 7.22/1.29  % (18990)Memory used [KB]: 7931
% 7.22/1.29  % (18990)Time elapsed: 0.497 s
% 7.22/1.29  % (18990)Instructions burned: 201 (million)
% 7.22/1.29  % (18990)------------------------------
% 7.22/1.29  % (18990)------------------------------
% 7.22/1.29  % (18928)Success in time 0.929 s
%------------------------------------------------------------------------------