TSTP Solution File: SWW604_2 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : SWW604_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 : n013.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 19:08:42 EDT 2022

% Result   : Theorem 47.53s 6.39s
% Output   : Refutation 47.53s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   42
%            Number of leaves      :  378
% Syntax   : Number of formulae    : 1509 ( 147 unt; 107 typ;   0 def)
%            Number of atoms       : 4762 ( 457 equ)
%            Maximal formula atoms :   27 (   3 avg)
%            Number of connectives : 5859 (2499   ~;2932   |; 137   &)
%                                         ( 213 <=>;  78  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   23 (   4 avg)
%            Maximal term depth    :    9 (   2 avg)
%            Number arithmetic     : 4698 (1529 atm; 926 fun;1616 num; 627 var)
%            Number of types       :   13 (  11 usr;   1 ari)
%            Number of type conns  :  132 (  61   >;  71   *;   0   +;   0  <<)
%            Number of predicates  :  210 ( 206 usr; 202 prp; 0-5 aty)
%            Number of functors    :  104 (  91 usr;  46 con; 0-5 aty)
%            Number of variables   : 1011 ( 989   !;  22   ?;1011   :)

% 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,
    key1: $tType ).

tff(type_def_10,type,
    a1: $tType ).

tff(type_def_11,type,
    map_int_lplist_lpkeycm_a1rprp: $tType ).

tff(type_def_12,type,
    map_key_lpoption_a1rp: $tType ).

tff(type_def_13,type,
    option_a1: $tType ).

tff(type_def_14,type,
    array_lplist_lpkeycm_a1rprp: $tType ).

tff(type_def_15,type,
    list_lpkeycm_a1rp: $tType ).

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

tff(func_def_1,type,
    int: ty ).

tff(func_def_2,type,
    real: ty ).

tff(func_def_3,type,
    bool: ty ).

tff(func_def_4,type,
    true1: bool1 ).

tff(func_def_5,type,
    false1: bool1 ).

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

tff(func_def_7,type,
    tuple0: ty ).

tff(func_def_8,type,
    tuple03: tuple02 ).

tff(func_def_9,type,
    qtmark: ty ).

tff(func_def_12,type,
    abs1: $int > $int ).

tff(func_def_14,type,
    div1: ( $int * $int ) > $int ).

tff(func_def_15,type,
    mod1: ( $int * $int ) > $int ).

tff(func_def_18,type,
    option: ty > ty ).

tff(func_def_19,type,
    none: ty > uni ).

tff(func_def_20,type,
    some: ( ty * uni ) > uni ).

tff(func_def_21,type,
    match_option1: ( ty * ty * uni * uni * uni ) > uni ).

tff(func_def_22,type,
    some_proj_11: ( ty * uni ) > uni ).

tff(func_def_23,type,
    list: ty > ty ).

tff(func_def_24,type,
    nil: ty > uni ).

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

tff(func_def_26,type,
    match_list1: ( ty * ty * uni * uni * uni ) > uni ).

tff(func_def_27,type,
    cons_proj_11: ( ty * uni ) > uni ).

tff(func_def_28,type,
    cons_proj_21: ( ty * uni ) > uni ).

tff(func_def_29,type,
    map: ( ty * ty ) > ty ).

tff(func_def_30,type,
    get: ( ty * ty * uni * uni ) > uni ).

tff(func_def_31,type,
    set: ( ty * ty * uni * uni * uni ) > uni ).

tff(func_def_32,type,
    const: ( ty * ty * uni ) > uni ).

tff(func_def_33,type,
    array: ty > ty ).

tff(func_def_34,type,
    mk_array1: ( ty * $int * uni ) > uni ).

tff(func_def_35,type,
    length1: ( ty * uni ) > $int ).

tff(func_def_36,type,
    elts: ( ty * uni ) > uni ).

tff(func_def_37,type,
    get2: ( ty * uni * $int ) > uni ).

tff(func_def_38,type,
    t2tb: $int > uni ).

tff(func_def_39,type,
    tb2t: uni > $int ).

tff(func_def_40,type,
    set2: ( ty * uni * $int * uni ) > uni ).

tff(func_def_41,type,
    make1: ( ty * $int * uni ) > uni ).

tff(func_def_42,type,
    key: ty ).

tff(func_def_43,type,
    hash1: key1 > $int ).

tff(func_def_44,type,
    bucket1: ( key1 * $int ) > $int ).

tff(func_def_45,type,
    tuple2: ( ty * ty ) > ty ).

tff(func_def_46,type,
    tuple21: ( ty * ty * uni * uni ) > uni ).

tff(func_def_47,type,
    tuple2_proj_11: ( ty * ty * uni ) > uni ).

tff(func_def_48,type,
    tuple2_proj_21: ( ty * ty * uni ) > uni ).

tff(func_def_49,type,
    t2tb1: key1 > uni ).

tff(func_def_50,type,
    tb2t1: uni > key1 ).

tff(func_def_51,type,
    t: ty > ty ).

tff(func_def_52,type,
    mk_t1: ( ty * $int * uni * uni ) > uni ).

tff(func_def_53,type,
    size1: ( ty * uni ) > $int ).

tff(func_def_54,type,
    data: ( ty * uni ) > uni ).

tff(func_def_55,type,
    view: ( ty * uni ) > uni ).

tff(func_def_56,type,
    a: ty ).

tff(func_def_57,type,
    t2tb2: map_int_lplist_lpkeycm_a1rprp > uni ).

tff(func_def_58,type,
    tb2t2: uni > map_int_lplist_lpkeycm_a1rprp ).

tff(func_def_59,type,
    t2tb3: map_key_lpoption_a1rp > uni ).

tff(func_def_60,type,
    tb2t3: uni > map_key_lpoption_a1rp ).

tff(func_def_61,type,
    t2tb4: option_a1 > uni ).

tff(func_def_62,type,
    tb2t4: uni > option_a1 ).

tff(func_def_63,type,
    t2tb5: array_lplist_lpkeycm_a1rprp > uni ).

tff(func_def_64,type,
    tb2t5: uni > array_lplist_lpkeycm_a1rprp ).

tff(func_def_65,type,
    t2tb6: list_lpkeycm_a1rp > uni ).

tff(func_def_66,type,
    tb2t6: uni > list_lpkeycm_a1rp ).

tff(func_def_67,type,
    t2tb7: a1 > uni ).

tff(func_def_68,type,
    tb2t7: uni > a1 ).

tff(func_def_69,type,
    sK0: ( ty * uni * $int ) > key1 ).

tff(func_def_70,type,
    sK1: ( ty * uni * $int ) > uni ).

tff(func_def_71,type,
    sK2: map_key_lpoption_a1rp ).

tff(func_def_72,type,
    sK3: $int ).

tff(func_def_73,type,
    sK4: map_int_lplist_lpkeycm_a1rprp ).

tff(func_def_74,type,
    sK5: $int ).

tff(func_def_75,type,
    sK6: map_int_lplist_lpkeycm_a1rprp ).

tff(func_def_76,type,
    sK7: map_key_lpoption_a1rp ).

tff(func_def_77,type,
    sK8: $int ).

tff(func_def_78,type,
    sK9: a1 ).

tff(func_def_79,type,
    sK10: key1 ).

tff(func_def_80,type,
    sF11: uni ).

tff(func_def_81,type,
    sF12: ty ).

tff(func_def_82,type,
    sF13: ty ).

tff(func_def_83,type,
    sF14: uni ).

tff(func_def_84,type,
    sF15: uni ).

tff(func_def_85,type,
    sF16: $int ).

tff(func_def_86,type,
    sF17: ty ).

tff(func_def_87,type,
    sF18: uni ).

tff(func_def_88,type,
    sF19: uni ).

tff(func_def_89,type,
    sF20: map_key_lpoption_a1rp ).

tff(func_def_90,type,
    sF21: uni ).

tff(func_def_91,type,
    sF22: list_lpkeycm_a1rp ).

tff(func_def_92,type,
    sF23: uni ).

tff(func_def_93,type,
    sF24: uni ).

tff(func_def_94,type,
    sF25: uni ).

tff(func_def_95,type,
    sF26: uni ).

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

tff(pred_def_4,type,
    mem: ( ty * uni * uni ) > $o ).

tff(pred_def_5,type,
    in_data1: ( ty * key1 * uni * uni ) > $o ).

tff(pred_def_6,type,
    good_data1: ( ty * key1 * uni * uni * uni ) > $o ).

tff(pred_def_7,type,
    good_hash1: ( ty * uni * $int ) > $o ).

tff(f36499,plain,
    $false,
    inference(avatar_smt_refutation,[],[f463,f467,f471,f479,f483,f490,f494,f498,f502,f506,f511,f515,f519,f523,f527,f531,f537,f547,f552,f561,f562,f569,f573,f580,f589,f590,f594,f598,f602,f606,f618,f622,f626,f642,f644,f656,f696,f702,f707,f716,f763,f775,f779,f785,f789,f821,f901,f910,f1054,f1064,f1331,f1356,f1360,f1405,f2283,f2397,f2442,f2446,f2447,f2666,f2716,f2718,f2762,f2766,f2770,f2776,f2780,f2795,f2799,f2818,f2824,f2856,f2862,f3135,f3212,f3251,f3274,f3275,f3343,f3396,f3456,f3457,f3514,f3515,f3548,f3628,f3636,f3640,f3666,f3702,f3703,f3729,f3731,f3733,f3735,f3764,f3782,f3802,f3819,f3941,f4348,f4722,f4723,f4821,f4822,f4967,f5051,f5052,f5056,f5057,f5108,f5121,f5186,f5346,f5376,f6185,f6338,f6599,f6707,f6723,f6835,f7100,f7788,f8326,f8709,f9352,f9468,f9597,f9628,f11732,f11736,f12585,f13579,f13671,f13782,f14573,f14577,f14656,f14799,f15108,f15219,f15220,f15343,f15515,f16977,f18066,f18309,f18416,f18417,f18599,f18661,f18668,f18672,f19739,f19840,f19943,f20057,f20058,f20709,f20713,f20714,f21215,f21217,f21221,f21223,f21225,f21227,f21230,f21381,f21619,f22777,f23762,f24402,f25399,f26561,f26565,f26629,f27253,f28821,f29305,f29312,f29523,f30865,f33360,f33460,f33470,f33517,f33553,f33693,f33728,f33740,f33744,f33749,f33751,f33773,f33799,f33805,f33806,f33816,f33857,f33861,f33862,f33921,f34006,f34101,f34105,f34312,f34553,f34579,f34625,f34661,f34663,f34675,f34715,f34840,f34850,f34902,f34919,f34925,f34930,f34953,f34975,f34979,f35041,f35145,f35199,f35241,f35247,f35531,f35625,f35630,f35637,f35652,f35873,f35888,f36123,f36498]) ).

tff(f36498,plain,
    ( spl27_2
    | ~ spl27_8
    | ~ spl27_13
    | ~ spl27_19
    | ~ spl27_23
    | ~ spl27_27
    | ~ spl27_34
    | spl27_35
    | ~ spl27_71
    | spl27_163 ),
    inference(avatar_contradiction_clause,[],[f36497]) ).

tff(f36497,plain,
    ( $false
    | spl27_2
    | ~ spl27_8
    | ~ spl27_13
    | ~ spl27_19
    | ~ spl27_23
    | ~ spl27_27
    | ~ spl27_34
    | spl27_35
    | ~ spl27_71
    | spl27_163 ),
    inference(subsumption_resolution,[],[f36496,f543]) ).

tff(f543,plain,
    ( $less(sK8,sK3)
    | ~ spl27_19 ),
    inference(avatar_component_clause,[],[f542]) ).

tff(f542,plain,
    ( spl27_19
  <=> $less(sK8,sK3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl27_19])]) ).

tff(f36496,plain,
    ( ~ $less(sK8,sK3)
    | spl27_2
    | ~ spl27_8
    | ~ spl27_13
    | ~ spl27_23
    | ~ spl27_27
    | ~ spl27_34
    | spl27_35
    | ~ spl27_71
    | spl27_163 ),
    inference(subsumption_resolution,[],[f36495,f655]) ).

tff(f655,plain,
    ( ~ $less(sK8,0)
    | spl27_35 ),
    inference(avatar_component_clause,[],[f654]) ).

tff(f654,plain,
    ( spl27_35
  <=> $less(sK8,0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl27_35])]) ).

tff(f36495,plain,
    ( $less(sK8,0)
    | ~ $less(sK8,sK3)
    | spl27_2
    | ~ spl27_8
    | ~ spl27_13
    | ~ spl27_23
    | ~ spl27_27
    | ~ spl27_34
    | ~ spl27_71
    | spl27_163 ),
    inference(resolution,[],[f36492,f33552]) ).

tff(f33552,plain,
    ( ~ good_hash1(a,sF26,sK8)
    | spl27_163 ),
    inference(avatar_component_clause,[],[f33551]) ).

tff(f33551,plain,
    ( spl27_163
  <=> good_hash1(a,sF26,sK8) ),
    introduced(avatar_definition,[new_symbols(naming,[spl27_163])]) ).

tff(f36492,plain,
    ( ! [X5: $int] :
        ( good_hash1(a,sF26,X5)
        | ~ $less(X5,sK3)
        | $less(X5,0) )
    | spl27_2
    | ~ spl27_8
    | ~ spl27_13
    | ~ spl27_23
    | ~ spl27_27
    | ~ spl27_34
    | ~ spl27_71 ),
    inference(subsumption_resolution,[],[f36487,f917]) ).

tff(f917,plain,
    ( ! [X0: uni,X1: uni] : sort1(sF12,tuple21(key,a,X0,X1))
    | ~ spl27_27 ),
    inference(superposition,[],[f314,f593]) ).

tff(f593,plain,
    ( ( tuple2(key,a) = sF12 )
    | ~ spl27_27 ),
    inference(avatar_component_clause,[],[f592]) ).

tff(f592,plain,
    ( spl27_27
  <=> ( tuple2(key,a) = sF12 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl27_27])]) ).

tff(f314,plain,
    ! [X2: uni,X3: ty,X0: uni,X1: ty] : sort1(tuple2(X3,X1),tuple21(X3,X1,X0,X2)),
    inference(cnf_transformation,[],[f167]) ).

tff(f167,plain,
    ! [X2: uni,X3: ty,X0: uni,X1: ty] : sort1(tuple2(X3,X1),tuple21(X3,X1,X0,X2)),
    inference(rectify,[],[f70]) ).

tff(f70,axiom,
    ! [X1: uni,X0: ty,X2: uni,X8: ty] : sort1(tuple2(X8,X0),tuple21(X8,X0,X1,X2)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tuple2_sort1) ).

tff(f36487,plain,
    ( ! [X5: $int] :
        ( $less(X5,0)
        | ~ sort1(sF12,tuple21(key,a,t2tb1(sK0(a,sF26,X5)),sK1(a,sF26,X5)))
        | good_hash1(a,sF26,X5)
        | ~ $less(X5,sK3) )
    | spl27_2
    | ~ spl27_8
    | ~ spl27_13
    | ~ spl27_23
    | ~ spl27_27
    | ~ spl27_34
    | ~ spl27_71 ),
    inference(resolution,[],[f36465,f814]) ).

tff(f814,plain,
    ( ! [X0: uni] :
        ( ~ mem(sF12,X0,sF21)
        | ~ sort1(sF12,X0) )
    | ~ spl27_13 ),
    inference(superposition,[],[f400,f514]) ).

tff(f514,plain,
    ( ( nil(sF12) = sF21 )
    | ~ spl27_13 ),
    inference(avatar_component_clause,[],[f513]) ).

tff(f513,plain,
    ( spl27_13
  <=> ( nil(sF12) = sF21 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl27_13])]) ).

tff(f400,plain,
    ! [X0: uni,X1: ty] :
      ( ~ mem(X1,X0,nil(X1))
      | ~ sort1(X1,X0) ),
    inference(cnf_transformation,[],[f263]) ).

tff(f263,plain,
    ! [X1: ty,X0: uni] :
      ( ~ sort1(X1,X0)
      | ( ~ mem(X1,X0,nil(X1))
        & ! [X2: uni,X3: uni] :
            ( ( ( ( X0 = X2 )
                | mem(X1,X0,X3) )
            <=> mem(X1,X0,cons(X1,X2,X3)) )
            | ~ sort1(X1,X2) ) ) ),
    inference(ennf_transformation,[],[f164]) ).

tff(f164,plain,
    ! [X1: ty,X0: uni] :
      ( sort1(X1,X0)
     => ( ! [X3: uni,X2: uni] :
            ( sort1(X1,X2)
           => ( ( ( X0 = X2 )
                | mem(X1,X0,X3) )
            <=> mem(X1,X0,cons(X1,X2,X3)) ) )
        & ~ mem(X1,X0,nil(X1)) ) ),
    inference(rectify,[],[f46]) ).

tff(f46,axiom,
    ! [X1: uni,X0: ty] :
      ( sort1(X0,X1)
     => ( ! [X2: uni,X3: uni] :
            ( sort1(X0,X2)
           => ( ( mem(X0,X1,X3)
                | ( X1 = X2 ) )
            <=> mem(X0,X1,cons(X0,X2,X3)) ) )
        & ~ mem(X0,X1,nil(X0)) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mem_def) ).

tff(f36465,plain,
    ( ! [X1: $int] :
        ( mem(sF12,tuple21(key,a,t2tb1(sK0(a,sF26,X1)),sK1(a,sF26,X1)),sF21)
        | $less(X1,0)
        | ~ $less(X1,sK3)
        | good_hash1(a,sF26,X1) )
    | spl27_2
    | ~ spl27_8
    | ~ spl27_23
    | ~ spl27_27
    | ~ spl27_34
    | ~ spl27_71 ),
    inference(superposition,[],[f3395,f4105]) ).

tff(f4105,plain,
    ( ! [X0: $int] :
        ( ( get2(sF13,sF26,X0) = sF21 )
        | ~ $less(X0,sK3)
        | $less(X0,0) )
    | spl27_2
    | ~ spl27_23
    | ~ spl27_34
    | ~ spl27_71 ),
    inference(backward_demodulation,[],[f662,f3784]) ).

tff(f3784,plain,
    ( ! [X2: $int] : ( get(sF13,int,sF23,t2tb(X2)) = get2(sF13,sF26,X2) )
    | ~ spl27_71 ),
    inference(superposition,[],[f424,f2854]) ).

tff(f2854,plain,
    ( ( elts(sF13,sF26) = sF23 )
    | ~ spl27_71 ),
    inference(avatar_component_clause,[],[f2853]) ).

tff(f2853,plain,
    ( spl27_71
  <=> ( elts(sF13,sF26) = sF23 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl27_71])]) ).

tff(f424,plain,
    ! [X2: $int,X0: ty,X1: uni] : ( get2(X0,X1,X2) = get(X0,int,elts(X0,X1),t2tb(X2)) ),
    inference(cnf_transformation,[],[f204]) ).

tff(f204,plain,
    ! [X0: ty,X1: uni,X2: $int] : ( get2(X0,X1,X2) = get(X0,int,elts(X0,X1),t2tb(X2)) ),
    inference(rectify,[],[f62]) ).

tff(f62,axiom,
    ! [X0: ty,X8: uni,X16: $int] : ( get2(X0,X8,X16) = get(X0,int,elts(X0,X8),t2tb(X16)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',get_def) ).

tff(f662,plain,
    ( ! [X0: $int] :
        ( ( sF21 = get(sF13,int,sF23,t2tb(X0)) )
        | ~ $less(X0,sK3)
        | $less(X0,0) )
    | spl27_2
    | ~ spl27_23
    | ~ spl27_34 ),
    inference(forward_demodulation,[],[f661,f568]) ).

tff(f568,plain,
    ( ( sF21 = t2tb6(sF22) )
    | ~ spl27_23 ),
    inference(avatar_component_clause,[],[f567]) ).

tff(f567,plain,
    ( spl27_23
  <=> ( sF21 = t2tb6(sF22) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl27_23])]) ).

tff(f661,plain,
    ( ! [X0: $int] :
        ( ( t2tb6(sF22) = get(sF13,int,sF23,t2tb(X0)) )
        | ~ $less(X0,sK3)
        | $less(X0,0) )
    | spl27_2
    | ~ spl27_34 ),
    inference(superposition,[],[f345,f659]) ).

tff(f659,plain,
    ( ! [X9: $int] :
        ( ( tb2t6(get(sF13,int,sF23,t2tb(X9))) = sF22 )
        | $less(X9,0)
        | ~ $less(X9,sK3) )
    | spl27_2
    | ~ spl27_34 ),
    inference(forward_demodulation,[],[f658,f641]) ).

tff(f641,plain,
    ( ( sF16 = sK3 )
    | ~ spl27_34 ),
    inference(avatar_component_clause,[],[f640]) ).

tff(f640,plain,
    ( spl27_34
  <=> ( sF16 = sK3 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl27_34])]) ).

tff(f658,plain,
    ( ! [X9: $int] :
        ( ~ $less(X9,sF16)
        | ( tb2t6(get(sF13,int,sF23,t2tb(X9))) = sF22 )
        | $less(X9,0) )
    | spl27_2
    | ~ spl27_34 ),
    inference(subsumption_resolution,[],[f657,f131]) ).

tff(f131,plain,
    ! [X0: $int] : ~ $less(X0,X0),
    introduced(theory_axiom_147,[]) ).

tff(f657,plain,
    ( ! [X9: $int] :
        ( ( tb2t6(get(sF13,int,sF23,t2tb(X9))) = sF22 )
        | $less(X9,0)
        | $less(sK3,sK3)
        | ~ $less(X9,sF16) )
    | spl27_2
    | ~ spl27_34 ),
    inference(forward_demodulation,[],[f652,f641]) ).

tff(f652,plain,
    ( ! [X9: $int] :
        ( $less(sK3,sF16)
        | ~ $less(X9,sF16)
        | $less(X9,0)
        | ( tb2t6(get(sF13,int,sF23,t2tb(X9))) = sF22 ) )
    | spl27_2 ),
    inference(subsumption_resolution,[],[f455,f466]) ).

tff(f466,plain,
    ( ~ $less(sK3,0)
    | spl27_2 ),
    inference(avatar_component_clause,[],[f465]) ).

tff(f465,plain,
    ( spl27_2
  <=> $less(sK3,0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl27_2])]) ).

tff(f455,plain,
    ! [X9: $int] :
      ( ( tb2t6(get(sF13,int,sF23,t2tb(X9))) = sF22 )
      | ~ $less(X9,sF16)
      | $less(sK3,sF16)
      | $less(X9,0)
      | $less(sK3,0) ),
    inference(evaluation,[],[f446]) ).

tff(f446,plain,
    ! [X9: $int] :
      ( $less(X9,0)
      | ( tb2t6(get(sF13,int,sF23,t2tb(X9))) = sF22 )
      | $less(0,0)
      | ~ $less(X9,sF16)
      | $less(sK3,0)
      | $less(sK3,sF16) ),
    inference(definition_folding,[],[f359,f437,f445,f432,f431,f444,f443,f431,f437]) ).

tff(f443,plain,
    nil(sF12) = sF21,
    introduced(function_definition,[]) ).

tff(f444,plain,
    sF22 = tb2t6(sF21),
    introduced(function_definition,[]) ).

tff(f431,plain,
    tuple2(key,a) = sF12,
    introduced(function_definition,[]) ).

tff(f432,plain,
    list(sF12) = sF13,
    introduced(function_definition,[]) ).

tff(f445,plain,
    t2tb2(sK6) = sF23,
    introduced(function_definition,[]) ).

tff(f437,plain,
    sF16 = $sum(0,sK3),
    introduced(function_definition,[]) ).

tff(f359,plain,
    ! [X9: $int] :
      ( $less(sK3,$sum(0,sK3))
      | $less(sK3,0)
      | $less(0,0)
      | ( tb2t6(nil(tuple2(key,a))) = tb2t6(get(list(tuple2(key,a)),int,t2tb2(sK6),t2tb(X9))) )
      | ~ $less(X9,$sum(0,sK3))
      | $less(X9,0) ),
    inference(cnf_transformation,[],[f268]) ).

tff(f268,plain,
    ? [X2: map_key_lpoption_a1rp,X0: $int,X1: map_int_lplist_lpkeycm_a1rprp] :
      ( ! [X5: $int] :
          ( $less(X5,0)
          | ~ $less(X5,X0)
          | good_hash1(a,mk_array1(list(tuple2(key,a)),X0,t2tb2(X1)),X5) )
      & $less(0,X0)
      & ? [X6: $int] :
          ( ( ? [X7: map_int_lplist_lpkeycm_a1rprp] :
                ( ! [X9: $int] :
                    ( $less(X9,0)
                    | ~ $less(X9,$sum(0,X0))
                    | ( tb2t6(nil(tuple2(key,a))) = tb2t6(get(list(tuple2(key,a)),int,t2tb2(X7),t2tb(X9))) ) )
                & ~ $less(X0,0)
                & ! [X8: $int] :
                    ( ( ( $less(X8,0)
                        | ~ $less(X8,0) )
                      & ( ~ $less(X8,X0)
                        | $less(X8,$sum(0,X0)) ) )
                    | ( tb2t6(get(list(tuple2(key,a)),int,t2tb2(X7),t2tb(X8))) = tb2t6(get(list(tuple2(key,a)),int,t2tb2(X1),t2tb(X8))) ) )
                & ? [X10: map_key_lpoption_a1rp] :
                    ( ( tb2t3(const(option(a),key,none(a))) = X10 )
                    & ( ? [X13: a1,X12: key1] : ~ good_data1(a,X12,t2tb7(X13),t2tb3(X10),mk_array1(list(tuple2(key,a)),X0,t2tb2(X7)))
                      | ~ $less(0,X0)
                      | ? [X11: $int] :
                          ( ~ $less(X11,0)
                          & ~ good_hash1(a,mk_array1(list(tuple2(key,a)),X0,t2tb2(X7)),X11)
                          & $less(X11,X0) )
                      | ( tb2t3(const(option(a),key,none(a))) != X10 )
                      | $less(X0,0) ) ) )
            | $less(0,0)
            | $less(X0,0)
            | $less(X0,$sum(0,X0)) )
          & ( 0 = X6 ) )
      & ! [X3: key1,X4: a1] : good_data1(a,X3,t2tb7(X4),t2tb3(X2),mk_array1(list(tuple2(key,a)),X0,t2tb2(X1)))
      & ~ $less(X0,0) ),
    inference(flattening,[],[f267]) ).

tff(f267,plain,
    ? [X2: map_key_lpoption_a1rp,X1: map_int_lplist_lpkeycm_a1rprp,X0: $int] :
      ( ? [X6: $int] :
          ( ( $less(X0,$sum(0,X0))
            | $less(X0,0)
            | ? [X7: map_int_lplist_lpkeycm_a1rprp] :
                ( ? [X10: map_key_lpoption_a1rp] :
                    ( ( $less(X0,0)
                      | ( tb2t3(const(option(a),key,none(a))) != X10 )
                      | ? [X11: $int] :
                          ( ~ good_hash1(a,mk_array1(list(tuple2(key,a)),X0,t2tb2(X7)),X11)
                          & ~ $less(X11,0)
                          & $less(X11,X0) )
                      | ? [X13: a1,X12: key1] : ~ good_data1(a,X12,t2tb7(X13),t2tb3(X10),mk_array1(list(tuple2(key,a)),X0,t2tb2(X7)))
                      | ~ $less(0,X0) )
                    & ( tb2t3(const(option(a),key,none(a))) = X10 ) )
                & ~ $less(X0,0)
                & ! [X9: $int] :
                    ( ( tb2t6(nil(tuple2(key,a))) = tb2t6(get(list(tuple2(key,a)),int,t2tb2(X7),t2tb(X9))) )
                    | ~ $less(X9,$sum(0,X0))
                    | $less(X9,0) )
                & ! [X8: $int] :
                    ( ( ( $less(X8,0)
                        | ~ $less(X8,0) )
                      & ( ~ $less(X8,X0)
                        | $less(X8,$sum(0,X0)) ) )
                    | ( tb2t6(get(list(tuple2(key,a)),int,t2tb2(X7),t2tb(X8))) = tb2t6(get(list(tuple2(key,a)),int,t2tb2(X1),t2tb(X8))) ) ) )
            | $less(0,0) )
          & ( 0 = X6 ) )
      & ! [X5: $int] :
          ( good_hash1(a,mk_array1(list(tuple2(key,a)),X0,t2tb2(X1)),X5)
          | ~ $less(X5,X0)
          | $less(X5,0) )
      & $less(0,X0)
      & ! [X3: key1,X4: a1] : good_data1(a,X3,t2tb7(X4),t2tb3(X2),mk_array1(list(tuple2(key,a)),X0,t2tb2(X1)))
      & ~ $less(X0,0) ),
    inference(ennf_transformation,[],[f224]) ).

tff(f224,plain,
    ~ ! [X2: map_key_lpoption_a1rp,X1: map_int_lplist_lpkeycm_a1rprp,X0: $int] :
        ( ( ! [X5: $int] :
              ( ( $less(X5,X0)
                & ~ $less(X5,0) )
             => good_hash1(a,mk_array1(list(tuple2(key,a)),X0,t2tb2(X1)),X5) )
          & $less(0,X0)
          & ! [X3: key1,X4: a1] : good_data1(a,X3,t2tb7(X4),t2tb3(X2),mk_array1(list(tuple2(key,a)),X0,t2tb2(X1)))
          & ~ $less(X0,0) )
       => ! [X6: $int] :
            ( ( 0 = X6 )
           => ( ~ $less(X0,$sum(0,X0))
              & ~ $less(X0,0)
              & ! [X7: map_int_lplist_lpkeycm_a1rprp] :
                  ( ( ~ $less(X0,0)
                    & ! [X9: $int] :
                        ( ( $less(X9,$sum(0,X0))
                          & ~ $less(X9,0) )
                       => ( tb2t6(nil(tuple2(key,a))) = tb2t6(get(list(tuple2(key,a)),int,t2tb2(X7),t2tb(X9))) ) )
                    & ! [X8: $int] :
                        ( ( ( ~ $less(X8,$sum(0,X0))
                            & $less(X8,X0) )
                          | ( $less(X8,0)
                            & ~ $less(X8,0) ) )
                       => ( tb2t6(get(list(tuple2(key,a)),int,t2tb2(X7),t2tb(X8))) = tb2t6(get(list(tuple2(key,a)),int,t2tb2(X1),t2tb(X8))) ) ) )
                 => ! [X10: map_key_lpoption_a1rp] :
                      ( ( tb2t3(const(option(a),key,none(a))) = X10 )
                     => ( ~ $less(X0,0)
                        & ( tb2t3(const(option(a),key,none(a))) = X10 )
                        & ! [X11: $int] :
                            ( ( ~ $less(X11,0)
                              & $less(X11,X0) )
                           => good_hash1(a,mk_array1(list(tuple2(key,a)),X0,t2tb2(X7)),X11) )
                        & ! [X13: a1,X12: key1] : good_data1(a,X12,t2tb7(X13),t2tb3(X10),mk_array1(list(tuple2(key,a)),X0,t2tb2(X7)))
                        & $less(0,X0) ) ) )
              & ~ $less(0,0) ) ) ),
    inference(rectify,[],[f122]) ).

tff(f122,plain,
    ~ ! [X22: $int,X23: map_int_lplist_lpkeycm_a1rprp,X24: map_key_lpoption_a1rp] :
        ( ( ! [X19: key1,X9: a1] : good_data1(a,X19,t2tb7(X9),t2tb3(X24),mk_array1(list(tuple2(key,a)),X22,t2tb2(X23)))
          & ~ $less(X22,0)
          & $less(0,X22)
          & ! [X16: $int] :
              ( ( ~ $less(X16,0)
                & $less(X16,X22) )
             => good_hash1(a,mk_array1(list(tuple2(key,a)),X22,t2tb2(X23)),X16) ) )
       => ! [X25: $int] :
            ( ( 0 = X25 )
           => ( ! [X26: map_int_lplist_lpkeycm_a1rprp] :
                  ( ( ! [X16: $int] :
                        ( ( ( $less(X16,X22)
                            & ~ $less(X16,$sum(0,X22)) )
                          | ( ~ $less(X16,0)
                            & $less(X16,0) ) )
                       => ( tb2t6(get(list(tuple2(key,a)),int,t2tb2(X26),t2tb(X16))) = tb2t6(get(list(tuple2(key,a)),int,t2tb2(X23),t2tb(X16))) ) )
                    & ! [X16: $int] :
                        ( ( $less(X16,$sum(0,X22))
                          & ~ $less(X16,0) )
                       => ( tb2t6(get(list(tuple2(key,a)),int,t2tb2(X26),t2tb(X16))) = tb2t6(nil(tuple2(key,a))) ) )
                    & ~ $less(X22,0) )
                 => ! [X27: map_key_lpoption_a1rp] :
                      ( ( tb2t3(const(option(a),key,none(a))) = X27 )
                     => ( ~ $less(X22,0)
                        & ! [X16: $int] :
                            ( ( $less(X16,X22)
                              & ~ $less(X16,0) )
                           => good_hash1(a,mk_array1(list(tuple2(key,a)),X22,t2tb2(X26)),X16) )
                        & ( tb2t3(const(option(a),key,none(a))) = X27 )
                        & ! [X19: key1,X9: a1] : good_data1(a,X19,t2tb7(X9),t2tb3(X27),mk_array1(list(tuple2(key,a)),X22,t2tb2(X26)))
                        & $less(0,X22) ) ) )
              & ~ $less(X22,$sum(0,X22))
              & ~ $less(0,0)
              & ~ $less(X22,0) ) ) ),
    inference(theory_normalization,[],[f108]) ).

tff(f108,negated_conjecture,
    ~ ! [X22: $int,X23: map_int_lplist_lpkeycm_a1rprp,X24: map_key_lpoption_a1rp] :
        ( ( ! [X19: key1,X9: a1] : good_data1(a,X19,t2tb7(X9),t2tb3(X24),mk_array1(list(tuple2(key,a)),X22,t2tb2(X23)))
          & $lesseq(0,X22)
          & $less(0,X22)
          & ! [X16: $int] :
              ( ( $lesseq(0,X16)
                & $less(X16,X22) )
             => good_hash1(a,mk_array1(list(tuple2(key,a)),X22,t2tb2(X23)),X16) ) )
       => ! [X25: $int] :
            ( ( 0 = X25 )
           => ( ! [X26: map_int_lplist_lpkeycm_a1rprp] :
                  ( ( ! [X16: $int] :
                        ( ( ( $less(X16,X22)
                            & $lesseq($sum(0,X22),X16) )
                          | ( $lesseq(0,X16)
                            & $less(X16,0) ) )
                       => ( tb2t6(get(list(tuple2(key,a)),int,t2tb2(X26),t2tb(X16))) = tb2t6(get(list(tuple2(key,a)),int,t2tb2(X23),t2tb(X16))) ) )
                    & ! [X16: $int] :
                        ( ( $less(X16,$sum(0,X22))
                          & $lesseq(0,X16) )
                       => ( tb2t6(get(list(tuple2(key,a)),int,t2tb2(X26),t2tb(X16))) = tb2t6(nil(tuple2(key,a))) ) )
                    & $lesseq(0,X22) )
                 => ! [X27: map_key_lpoption_a1rp] :
                      ( ( tb2t3(const(option(a),key,none(a))) = X27 )
                     => ( $lesseq(0,X22)
                        & ! [X16: $int] :
                            ( ( $less(X16,X22)
                              & $lesseq(0,X16) )
                           => good_hash1(a,mk_array1(list(tuple2(key,a)),X22,t2tb2(X26)),X16) )
                        & ( tb2t3(const(option(a),key,none(a))) = X27 )
                        & ! [X19: key1,X9: a1] : good_data1(a,X19,t2tb7(X9),t2tb3(X27),mk_array1(list(tuple2(key,a)),X22,t2tb2(X26)))
                        & $less(0,X22) ) ) )
              & $lesseq($sum(0,X22),X22)
              & $lesseq(0,0)
              & $lesseq(0,X22) ) ) ),
    inference(negated_conjecture,[],[f107]) ).

tff(f107,conjecture,
    ! [X22: $int,X23: map_int_lplist_lpkeycm_a1rprp,X24: map_key_lpoption_a1rp] :
      ( ( ! [X19: key1,X9: a1] : good_data1(a,X19,t2tb7(X9),t2tb3(X24),mk_array1(list(tuple2(key,a)),X22,t2tb2(X23)))
        & $lesseq(0,X22)
        & $less(0,X22)
        & ! [X16: $int] :
            ( ( $lesseq(0,X16)
              & $less(X16,X22) )
           => good_hash1(a,mk_array1(list(tuple2(key,a)),X22,t2tb2(X23)),X16) ) )
     => ! [X25: $int] :
          ( ( 0 = X25 )
         => ( ! [X26: map_int_lplist_lpkeycm_a1rprp] :
                ( ( ! [X16: $int] :
                      ( ( ( $less(X16,X22)
                          & $lesseq($sum(0,X22),X16) )
                        | ( $lesseq(0,X16)
                          & $less(X16,0) ) )
                     => ( tb2t6(get(list(tuple2(key,a)),int,t2tb2(X26),t2tb(X16))) = tb2t6(get(list(tuple2(key,a)),int,t2tb2(X23),t2tb(X16))) ) )
                  & ! [X16: $int] :
                      ( ( $less(X16,$sum(0,X22))
                        & $lesseq(0,X16) )
                     => ( tb2t6(get(list(tuple2(key,a)),int,t2tb2(X26),t2tb(X16))) = tb2t6(nil(tuple2(key,a))) ) )
                  & $lesseq(0,X22) )
               => ! [X27: map_key_lpoption_a1rp] :
                    ( ( tb2t3(const(option(a),key,none(a))) = X27 )
                   => ( $lesseq(0,X22)
                      & ! [X16: $int] :
                          ( ( $less(X16,X22)
                            & $lesseq(0,X16) )
                         => good_hash1(a,mk_array1(list(tuple2(key,a)),X22,t2tb2(X26)),X16) )
                      & ( tb2t3(const(option(a),key,none(a))) = X27 )
                      & ! [X19: key1,X9: a1] : good_data1(a,X19,t2tb7(X9),t2tb3(X27),mk_array1(list(tuple2(key,a)),X22,t2tb2(X26)))
                      & $less(0,X22) ) ) )
            & $lesseq($sum(0,X22),X22)
            & $lesseq(0,0)
            & $lesseq(0,X22) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',wP_parameter_clear) ).

tff(f345,plain,
    ! [X0: uni] : ( t2tb6(tb2t6(X0)) = X0 ),
    inference(cnf_transformation,[],[f218]) ).

tff(f218,plain,
    ! [X0: uni] : ( t2tb6(tb2t6(X0)) = X0 ),
    inference(rectify,[],[f103]) ).

tff(f103,axiom,
    ! [X17: uni] : ( t2tb6(tb2t6(X17)) = X17 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',bridgeR6) ).

tff(f3395,plain,
    ( ! [X0: uni,X1: $int] :
        ( mem(sF12,tuple21(key,a,t2tb1(sK0(a,X0,X1)),sK1(a,X0,X1)),get2(sF13,X0,X1))
        | good_hash1(a,X0,X1) )
    | ~ spl27_8
    | ~ spl27_27 ),
    inference(forward_demodulation,[],[f3394,f493]) ).

tff(f493,plain,
    ( ( list(sF12) = sF13 )
    | ~ spl27_8 ),
    inference(avatar_component_clause,[],[f492]) ).

tff(f492,plain,
    ( spl27_8
  <=> ( list(sF12) = sF13 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl27_8])]) ).

tff(f3394,plain,
    ( ! [X0: uni,X1: $int] :
        ( good_hash1(a,X0,X1)
        | mem(sF12,tuple21(key,a,t2tb1(sK0(a,X0,X1)),sK1(a,X0,X1)),get2(list(sF12),X0,X1)) )
    | ~ spl27_27 ),
    inference(superposition,[],[f340,f593]) ).

tff(f340,plain,
    ! [X2: $int,X0: ty,X1: uni] :
      ( mem(tuple2(key,X0),tuple21(key,X0,t2tb1(sK0(X0,X1,X2)),sK1(X0,X1,X2)),get2(list(tuple2(key,X0)),X1,X2))
      | good_hash1(X0,X1,X2) ),
    inference(cnf_transformation,[],[f274]) ).

tff(f274,plain,
    ! [X2: $int,X1: uni,X0: ty] :
      ( ( ! [X5: uni,X6: key1] :
            ( ~ mem(tuple2(key,X0),tuple21(key,X0,t2tb1(X6),X5),get2(list(tuple2(key,X0)),X1,X2))
            | ( bucket1(X6,length1(list(tuple2(key,X0)),X1)) = X2 ) )
        | ~ good_hash1(X0,X1,X2) )
      & ( good_hash1(X0,X1,X2)
        | ? [X3: key1,X4: uni] :
            ( ( bucket1(X3,length1(list(tuple2(key,X0)),X1)) != X2 )
            & sort1(X0,X4)
            & mem(tuple2(key,X0),tuple21(key,X0,t2tb1(X3),X4),get2(list(tuple2(key,X0)),X1,X2)) ) ) ),
    inference(flattening,[],[f273]) ).

tff(f273,plain,
    ! [X0: ty,X2: $int,X1: uni] :
      ( ( ! [X5: uni,X6: key1] :
            ( ~ mem(tuple2(key,X0),tuple21(key,X0,t2tb1(X6),X5),get2(list(tuple2(key,X0)),X1,X2))
            | ( bucket1(X6,length1(list(tuple2(key,X0)),X1)) = X2 ) )
        | ~ good_hash1(X0,X1,X2) )
      & ( good_hash1(X0,X1,X2)
        | ? [X4: uni,X3: key1] :
            ( ( bucket1(X3,length1(list(tuple2(key,X0)),X1)) != X2 )
            & mem(tuple2(key,X0),tuple21(key,X0,t2tb1(X3),X4),get2(list(tuple2(key,X0)),X1,X2))
            & sort1(X0,X4) ) ) ),
    inference(ennf_transformation,[],[f170]) ).

tff(f170,plain,
    ! [X0: ty,X2: $int,X1: uni] :
      ( ( good_hash1(X0,X1,X2)
       => ! [X6: key1,X5: uni] :
            ( mem(tuple2(key,X0),tuple21(key,X0,t2tb1(X6),X5),get2(list(tuple2(key,X0)),X1,X2))
           => ( bucket1(X6,length1(list(tuple2(key,X0)),X1)) = X2 ) ) )
      & ( ! [X4: uni,X3: key1] :
            ( sort1(X0,X4)
           => ( mem(tuple2(key,X0),tuple21(key,X0,t2tb1(X3),X4),get2(list(tuple2(key,X0)),X1,X2))
             => ( bucket1(X3,length1(list(tuple2(key,X0)),X1)) = X2 ) ) )
       => good_hash1(X0,X1,X2) ) ),
    inference(rectify,[],[f81]) ).

tff(f81,axiom,
    ! [X0: ty,X20: uni,X16: $int] :
      ( ( ! [X19: key1,X9: uni] :
            ( sort1(X0,X9)
           => ( mem(tuple2(key,X0),tuple21(key,X0,t2tb1(X19),X9),get2(list(tuple2(key,X0)),X20,X16))
             => ( bucket1(X19,length1(list(tuple2(key,X0)),X20)) = X16 ) ) )
       => good_hash1(X0,X20,X16) )
      & ( good_hash1(X0,X20,X16)
       => ! [X9: uni,X19: key1] :
            ( mem(tuple2(key,X0),tuple21(key,X0,t2tb1(X19),X9),get2(list(tuple2(key,X0)),X20,X16))
           => ( bucket1(X19,length1(list(tuple2(key,X0)),X20)) = X16 ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',good_hash_def) ).

tff(f36123,plain,
    ( spl27_165
    | spl27_201
    | spl27_35
    | ~ spl27_199 ),
    inference(avatar_split_clause,[],[f36108,f35871,f654,f36121,f33738]) ).

tff(f33738,plain,
    ( spl27_165
  <=> ( 0 = sK8 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl27_165])]) ).

tff(f36121,plain,
    ( spl27_201
  <=> $less($uminus(sK8),sK3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl27_201])]) ).

tff(f35871,plain,
    ( spl27_199
  <=> ! [X5: $int] : $less(mod1(X5,sK8),sK3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl27_199])]) ).

tff(f36108,plain,
    ( $less($uminus(sK8),sK3)
    | ( 0 = sK8 )
    | spl27_35
    | ~ spl27_199 ),
    inference(subsumption_resolution,[],[f36088,f655]) ).

tff(f36088,plain,
    ( ( 0 = sK8 )
    | $less(sK8,0)
    | $less($uminus(sK8),sK3)
    | ~ spl27_199 ),
    inference(resolution,[],[f35875,f1056]) ).

tff(f1056,plain,
    ! [X0: $int,X1: $int] :
      ( $less($uminus(X0),mod1(X1,X0))
      | ( 0 = X0 )
      | $less(X0,0) ),
    inference(superposition,[],[f307,f377]) ).

tff(f377,plain,
    ! [X0: $int] :
      ( ( abs1(X0) = X0 )
      | $less(X0,0) ),
    inference(cnf_transformation,[],[f259]) ).

tff(f259,plain,
    ! [X0: $int] :
      ( ( ~ $less(X0,0)
        | ( $uminus(X0) = abs1(X0) ) )
      & ( ( abs1(X0) = X0 )
        | $less(X0,0) ) ),
    inference(ennf_transformation,[],[f180]) ).

tff(f180,plain,
    ! [X0: $int] :
      ( ( ~ $less(X0,0)
       => ( abs1(X0) = X0 ) )
      & ( $less(X0,0)
       => ( $uminus(X0) = abs1(X0) ) ) ),
    inference(rectify,[],[f113]) ).

tff(f113,plain,
    ! [X1: $int] :
      ( ( ~ $less(X1,0)
       => ( abs1(X1) = X1 ) )
      & ( $less(X1,0)
       => ( abs1(X1) = $uminus(X1) ) ) ),
    inference(theory_normalization,[],[f9]) ).

tff(f9,axiom,
    ! [X1: $int] :
      ( ( $lesseq(0,X1)
       => ( abs1(X1) = X1 ) )
      & ( ~ $lesseq(0,X1)
       => ( abs1(X1) = $uminus(X1) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',abs_def) ).

tff(f307,plain,
    ! [X0: $int,X1: $int] :
      ( $less($uminus(abs1(X1)),mod1(X0,X1))
      | ( 0 = X1 ) ),
    inference(cnf_transformation,[],[f280]) ).

tff(f280,plain,
    ! [X1: $int,X0: $int] :
      ( ( 0 = X1 )
      | ( $less(mod1(X0,X1),abs1(X1))
        & $less($uminus(abs1(X1)),mod1(X0,X1)) ) ),
    inference(ennf_transformation,[],[f200]) ).

tff(f200,plain,
    ! [X1: $int,X0: $int] :
      ( ( 0 != X1 )
     => ( $less(mod1(X0,X1),abs1(X1))
        & $less($uminus(abs1(X1)),mod1(X0,X1)) ) ),
    inference(rectify,[],[f14]) ).

tff(f14,axiom,
    ! [X1: $int,X7: $int] :
      ( ( 0 != X7 )
     => ( $less(mod1(X1,X7),abs1(X7))
        & $less($uminus(abs1(X7)),mod1(X1,X7)) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mod_bound) ).

tff(f35875,plain,
    ( ! [X2: $int,X3: $int] :
        ( ~ $less(X2,mod1(X3,sK8))
        | $less(X2,sK3) )
    | ~ spl27_199 ),
    inference(resolution,[],[f35872,f132]) ).

tff(f132,plain,
    ! [X2: $int,X0: $int,X1: $int] :
      ( ~ $less(X1,X2)
      | $less(X0,X2)
      | ~ $less(X0,X1) ),
    introduced(theory_axiom_148,[]) ).

tff(f35872,plain,
    ( ! [X5: $int] : $less(mod1(X5,sK8),sK3)
    | ~ spl27_199 ),
    inference(avatar_component_clause,[],[f35871]) ).

tff(f35888,plain,
    ( spl27_200
    | ~ spl27_167
    | ~ spl27_193 ),
    inference(avatar_split_clause,[],[f35316,f35143,f33797,f35886]) ).

tff(f35886,plain,
    ( spl27_200
  <=> $less($sum(-1,abs1(-2)),sK8) ),
    introduced(avatar_definition,[new_symbols(naming,[spl27_200])]) ).

tff(f33797,plain,
    ( spl27_167
  <=> $less($sum(-1,abs1(-2)),1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl27_167])]) ).

tff(f35143,plain,
    ( spl27_193
  <=> $less(1,sK8) ),
    introduced(avatar_definition,[new_symbols(naming,[spl27_193])]) ).

tff(f35316,plain,
    ( $less($sum(-1,abs1(-2)),sK8)
    | ~ spl27_167
    | ~ spl27_193 ),
    inference(resolution,[],[f35224,f33798]) ).

tff(f33798,plain,
    ( $less($sum(-1,abs1(-2)),1)
    | ~ spl27_167 ),
    inference(avatar_component_clause,[],[f33797]) ).

tff(f35224,plain,
    ( ! [X1: $int] :
        ( ~ $less(X1,1)
        | $less(X1,sK8) )
    | ~ spl27_193 ),
    inference(resolution,[],[f35144,f132]) ).

tff(f35144,plain,
    ( $less(1,sK8)
    | ~ spl27_193 ),
    inference(avatar_component_clause,[],[f35143]) ).

tff(f35873,plain,
    ( spl27_165
    | spl27_199
    | ~ spl27_19
    | spl27_35 ),
    inference(avatar_split_clause,[],[f35265,f654,f542,f35871,f33738]) ).

tff(f35265,plain,
    ( ! [X5: $int] :
        ( $less(mod1(X5,sK8),sK3)
        | ( 0 = sK8 ) )
    | ~ spl27_19
    | spl27_35 ),
    inference(subsumption_resolution,[],[f35259,f655]) ).

tff(f35259,plain,
    ( ! [X5: $int] :
        ( $less(mod1(X5,sK8),sK3)
        | $less(sK8,0)
        | ( 0 = sK8 ) )
    | ~ spl27_19 ),
    inference(resolution,[],[f35249,f914]) ).

tff(f914,plain,
    ! [X0: $int,X1: $int] :
      ( $less(mod1(X1,X0),X0)
      | $less(X0,0)
      | ( 0 = X0 ) ),
    inference(superposition,[],[f308,f377]) ).

tff(f308,plain,
    ! [X0: $int,X1: $int] :
      ( $less(mod1(X0,X1),abs1(X1))
      | ( 0 = X1 ) ),
    inference(cnf_transformation,[],[f280]) ).

tff(f35249,plain,
    ( ! [X1: $int] :
        ( ~ $less(X1,sK8)
        | $less(X1,sK3) )
    | ~ spl27_19 ),
    inference(resolution,[],[f543,f132]) ).

tff(f35652,plain,
    ( ~ spl27_198
    | ~ spl27_181 ),
    inference(avatar_split_clause,[],[f35616,f34707,f35650]) ).

tff(f35650,plain,
    ( spl27_198
  <=> $less(abs1(abs1(abs1(hash1(sK10)))),sK3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl27_198])]) ).

tff(f34707,plain,
    ( spl27_181
  <=> $less(sK3,hash1(sK10)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl27_181])]) ).

tff(f35616,plain,
    ( ~ $less(abs1(abs1(abs1(hash1(sK10)))),sK3)
    | ~ spl27_181 ),
    inference(resolution,[],[f34725,f719]) ).

tff(f719,plain,
    ! [X0: $int] : ~ $less(abs1(abs1(abs1(X0))),X0),
    inference(resolution,[],[f711,f412]) ).

tff(f412,plain,
    ! [X0: $int,X1: $int] :
      ( $less(X0,abs1(X1))
      | ~ $less(X0,X1) ),
    inference(cnf_transformation,[],[f176]) ).

tff(f176,plain,
    ! [X1: $int,X0: $int] :
      ( ~ $less(X0,abs1(X1))
    <=> ( ~ $less(X1,$uminus(X0))
        & ~ $less(X0,X1) ) ),
    inference(rectify,[],[f111]) ).

tff(f111,plain,
    ! [X7: $int,X1: $int] :
      ( ~ $less(X7,abs1(X1))
    <=> ( ~ $less(X1,$uminus(X7))
        & ~ $less(X7,X1) ) ),
    inference(theory_normalization,[],[f10]) ).

tff(f10,axiom,
    ! [X7: $int,X1: $int] :
      ( $lesseq(abs1(X1),X7)
    <=> ( $lesseq($uminus(X7),X1)
        & $lesseq(X1,X7) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',abs_le) ).

tff(f711,plain,
    ! [X0: $int] : ~ $less(abs1(abs1(X0)),X0),
    inference(resolution,[],[f709,f412]) ).

tff(f709,plain,
    ! [X0: $int] : ~ $less(abs1(X0),X0),
    inference(resolution,[],[f412,f131]) ).

tff(f34725,plain,
    ( ! [X1: $int] :
        ( $less(X1,hash1(sK10))
        | ~ $less(X1,sK3) )
    | ~ spl27_181 ),
    inference(resolution,[],[f34708,f132]) ).

tff(f34708,plain,
    ( $less(sK3,hash1(sK10))
    | ~ spl27_181 ),
    inference(avatar_component_clause,[],[f34707]) ).

tff(f35637,plain,
    ( ~ spl27_197
    | ~ spl27_181 ),
    inference(avatar_split_clause,[],[f35615,f34707,f35635]) ).

tff(f35635,plain,
    ( spl27_197
  <=> $less(abs1(abs1(hash1(sK10))),sK3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl27_197])]) ).

tff(f35615,plain,
    ( ~ $less(abs1(abs1(hash1(sK10))),sK3)
    | ~ spl27_181 ),
    inference(resolution,[],[f34725,f711]) ).

tff(f35630,plain,
    ( ~ spl27_196
    | ~ spl27_181 ),
    inference(avatar_split_clause,[],[f35614,f34707,f35628]) ).

tff(f35628,plain,
    ( spl27_196
  <=> $less(abs1(hash1(sK10)),sK3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl27_196])]) ).

tff(f35614,plain,
    ( ~ $less(abs1(hash1(sK10)),sK3)
    | ~ spl27_181 ),
    inference(resolution,[],[f34725,f709]) ).

tff(f35625,plain,
    ( ~ spl27_195
    | ~ spl27_3
    | ~ spl27_181 ),
    inference(avatar_split_clause,[],[f35621,f34707,f469,f35623]) ).

tff(f35623,plain,
    ( spl27_195
  <=> $less(hash1(sK10),1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl27_195])]) ).

tff(f469,plain,
    ( spl27_3
  <=> $less(0,sK3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl27_3])]) ).

tff(f35621,plain,
    ( ~ $less(hash1(sK10),1)
    | ~ spl27_3
    | ~ spl27_181 ),
    inference(subsumption_resolution,[],[f35612,f470]) ).

tff(f470,plain,
    ( $less(0,sK3)
    | ~ spl27_3 ),
    inference(avatar_component_clause,[],[f469]) ).

tff(f35612,plain,
    ( ~ $less(0,sK3)
    | ~ $less(hash1(sK10),1)
    | ~ spl27_181 ),
    inference(resolution,[],[f34725,f740]) ).

tff(f740,plain,
    ! [X4: $int] :
      ( ~ $less(0,X4)
      | ~ $less(X4,1) ),
    inference(superposition,[],[f143,f627]) ).

tff(f627,plain,
    ! [X0: $int] : ( $sum(0,X0) = X0 ),
    inference(superposition,[],[f126,f128]) ).

tff(f128,plain,
    ! [X0: $int] : ( $sum(X0,0) = X0 ),
    introduced(theory_axiom_142,[]) ).

tff(f126,plain,
    ! [X0: $int,X1: $int] : ( $sum(X0,X1) = $sum(X1,X0) ),
    introduced(theory_axiom_140,[]) ).

tff(f143,plain,
    ! [X0: $int,X1: $int] :
      ( ~ $less(X1,$sum(X0,1))
      | ~ $less(X0,X1) ),
    introduced(theory_axiom_166,[]) ).

tff(f35531,plain,
    ( spl27_54
    | ~ spl27_3 ),
    inference(avatar_split_clause,[],[f35475,f469,f1400]) ).

tff(f1400,plain,
    ( spl27_54
  <=> ! [X4: $int] :
        ( $less($uminus(X4),1)
        | $less(X4,sK3) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl27_54])]) ).

tff(f35475,plain,
    ( ! [X1: $int] :
        ( $less(X1,sK3)
        | $less($uminus(X1),1) )
    | ~ spl27_3 ),
    inference(resolution,[],[f4539,f727]) ).

tff(f727,plain,
    ! [X4: $int] :
      ( $less(0,X4)
      | $less(X4,1) ),
    inference(superposition,[],[f135,f627]) ).

tff(f135,plain,
    ! [X0: $int,X1: $int] :
      ( $less(X1,$sum(X0,1))
      | $less(X0,X1) ),
    introduced(theory_axiom_152,[]) ).

tff(f4539,plain,
    ( ! [X0: $int] :
        ( ~ $less(0,$uminus(X0))
        | $less(X0,sK3) )
    | ~ spl27_3 ),
    inference(superposition,[],[f4533,f136]) ).

tff(f136,plain,
    ! [X0: $int] : ( $uminus($uminus(X0)) = X0 ),
    introduced(theory_axiom_153,[]) ).

tff(f4533,plain,
    ( ! [X5: $int] :
        ( $less($uminus(X5),sK3)
        | ~ $less(0,X5) )
    | ~ spl27_3 ),
    inference(superposition,[],[f4487,f627]) ).

tff(f4487,plain,
    ( ! [X8: $int,X9: $int] :
        ( $less($sum(X8,$uminus(X9)),sK3)
        | ~ $less(X8,X9) )
    | ~ spl27_3 ),
    inference(resolution,[],[f1043,f872]) ).

tff(f872,plain,
    ( ! [X16: $int] :
        ( ~ $less(X16,0)
        | $less(X16,sK3) )
    | ~ spl27_3 ),
    inference(resolution,[],[f132,f470]) ).

tff(f1043,plain,
    ! [X2: $int,X3: $int] :
      ( $less($sum(X3,$uminus(X2)),0)
      | ~ $less(X3,X2) ),
    inference(superposition,[],[f134,f130]) ).

tff(f130,plain,
    ! [X0: $int] : ( 0 = $sum(X0,$uminus(X0)) ),
    introduced(theory_axiom_145,[]) ).

tff(f134,plain,
    ! [X2: $int,X0: $int,X1: $int] :
      ( $less($sum(X0,X2),$sum(X1,X2))
      | ~ $less(X0,X1) ),
    introduced(theory_axiom_150,[]) ).

tff(f35247,plain,
    ( ~ spl27_3
    | spl27_194 ),
    inference(avatar_contradiction_clause,[],[f35246]) ).

tff(f35246,plain,
    ( $false
    | ~ spl27_3
    | spl27_194 ),
    inference(subsumption_resolution,[],[f35242,f470]) ).

tff(f35242,plain,
    ( ~ $less(0,sK3)
    | spl27_194 ),
    inference(resolution,[],[f35240,f421]) ).

tff(f421,plain,
    ! [X0: $int,X1: key1] :
      ( $less(bucket1(X1,X0),X0)
      | ~ $less(0,X0) ),
    inference(cnf_transformation,[],[f296]) ).

tff(f296,plain,
    ! [X0: $int] :
      ( ! [X1: key1] :
          ( ~ $less(bucket1(X1,X0),0)
          & $less(bucket1(X1,X0),X0) )
      | ~ $less(0,X0) ),
    inference(ennf_transformation,[],[f227]) ).

tff(f227,plain,
    ! [X0: $int] :
      ( $less(0,X0)
     => ! [X1: key1] :
          ( ~ $less(bucket1(X1,X0),0)
          & $less(bucket1(X1,X0),X0) ) ),
    inference(rectify,[],[f123]) ).

tff(f123,plain,
    ! [X18: $int] :
      ( $less(0,X18)
     => ! [X19: key1] :
          ( ~ $less(bucket1(X19,X18),0)
          & $less(bucket1(X19,X18),X18) ) ),
    inference(theory_normalization,[],[f69]) ).

tff(f69,axiom,
    ! [X18: $int] :
      ( $less(0,X18)
     => ! [X19: key1] :
          ( $lesseq(0,bucket1(X19,X18))
          & $less(bucket1(X19,X18),X18) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',bucket_bounds) ).

tff(f35240,plain,
    ( ~ $less(bucket1(sK10,sK3),sK3)
    | spl27_194 ),
    inference(avatar_component_clause,[],[f35239]) ).

tff(f35239,plain,
    ( spl27_194
  <=> $less(bucket1(sK10,sK3),sK3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl27_194])]) ).

tff(f35241,plain,
    ( ~ spl27_194
    | spl27_2
    | ~ spl27_8
    | ~ spl27_13
    | ~ spl27_23
    | ~ spl27_27
    | ~ spl27_34
    | ~ spl27_44
    | ~ spl27_71
    | ~ spl27_162
    | ~ spl27_179 ),
    inference(avatar_split_clause,[],[f35237,f34670,f33468,f2853,f787,f640,f592,f567,f513,f492,f465,f35239]) ).

tff(f787,plain,
    ( spl27_44
  <=> ( length1(sF13,sF26) = sK3 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl27_44])]) ).

tff(f33468,plain,
    ( spl27_162
  <=> in_data1(a,sK10,sF24,sF26) ),
    introduced(avatar_definition,[new_symbols(naming,[spl27_162])]) ).

tff(f34670,plain,
    ( spl27_179
  <=> $less(0,length1(sF13,sF26)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl27_179])]) ).

tff(f35237,plain,
    ( ~ $less(bucket1(sK10,sK3),sK3)
    | spl27_2
    | ~ spl27_8
    | ~ spl27_13
    | ~ spl27_23
    | ~ spl27_27
    | ~ spl27_34
    | ~ spl27_44
    | ~ spl27_71
    | ~ spl27_162
    | ~ spl27_179 ),
    inference(resolution,[],[f35173,f33469]) ).

tff(f33469,plain,
    ( in_data1(a,sK10,sF24,sF26)
    | ~ spl27_162 ),
    inference(avatar_component_clause,[],[f33468]) ).

tff(f35173,plain,
    ( ! [X0: key1,X1: uni] :
        ( ~ in_data1(a,X0,X1,sF26)
        | ~ $less(bucket1(X0,sK3),sK3) )
    | spl27_2
    | ~ spl27_8
    | ~ spl27_13
    | ~ spl27_23
    | ~ spl27_27
    | ~ spl27_34
    | ~ spl27_44
    | ~ spl27_71
    | ~ spl27_179 ),
    inference(backward_demodulation,[],[f35050,f788]) ).

tff(f788,plain,
    ( ( length1(sF13,sF26) = sK3 )
    | ~ spl27_44 ),
    inference(avatar_component_clause,[],[f787]) ).

tff(f35050,plain,
    ( ! [X0: key1,X1: uni] :
        ( ~ $less(bucket1(X0,length1(sF13,sF26)),sK3)
        | ~ in_data1(a,X0,X1,sF26) )
    | spl27_2
    | ~ spl27_8
    | ~ spl27_13
    | ~ spl27_23
    | ~ spl27_27
    | ~ spl27_34
    | ~ spl27_71
    | ~ spl27_179 ),
    inference(subsumption_resolution,[],[f35042,f466]) ).

tff(f35042,plain,
    ( ! [X0: key1,X1: uni] :
        ( $less(sK3,0)
        | ~ $less(bucket1(X0,length1(sF13,sF26)),sK3)
        | ~ in_data1(a,X0,X1,sF26) )
    | spl27_2
    | ~ spl27_8
    | ~ spl27_13
    | ~ spl27_23
    | ~ spl27_27
    | ~ spl27_34
    | ~ spl27_71
    | ~ spl27_179 ),
    inference(backward_subsumption_demodulation,[],[f34574,f35011]) ).

tff(f35011,plain,
    ( ! [X3: key1,X4: uni] :
        ( ~ $less(bucket1(X3,length1(sF13,sF26)),sK3)
        | ~ in_data1(a,X3,X4,sF26)
        | ( bucket1(X3,length1(sF13,sF26)) = sK3 ) )
    | spl27_2
    | ~ spl27_8
    | ~ spl27_13
    | ~ spl27_23
    | ~ spl27_27
    | ~ spl27_34
    | ~ spl27_71
    | ~ spl27_179 ),
    inference(resolution,[],[f35000,f131]) ).

tff(f35000,plain,
    ( ! [X3: $int,X4: key1,X5: uni] :
        ( $less(X3,bucket1(X4,length1(sF13,sF26)))
        | ( bucket1(X4,length1(sF13,sF26)) = sK3 )
        | ~ $less(X3,sK3)
        | ~ in_data1(a,X4,X5,sF26) )
    | spl27_2
    | ~ spl27_8
    | ~ spl27_13
    | ~ spl27_23
    | ~ spl27_27
    | ~ spl27_34
    | ~ spl27_71
    | ~ spl27_179 ),
    inference(subsumption_resolution,[],[f34989,f34836]) ).

tff(f34836,plain,
    ( $less(0,length1(sF13,sF26))
    | ~ spl27_179 ),
    inference(avatar_component_clause,[],[f34670]) ).

tff(f34989,plain,
    ( ! [X3: $int,X4: key1,X5: uni] :
        ( $less(X3,bucket1(X4,length1(sF13,sF26)))
        | ( bucket1(X4,length1(sF13,sF26)) = sK3 )
        | ~ $less(0,length1(sF13,sF26))
        | ~ $less(X3,sK3)
        | ~ in_data1(a,X4,X5,sF26) )
    | spl27_2
    | ~ spl27_8
    | ~ spl27_13
    | ~ spl27_23
    | ~ spl27_27
    | ~ spl27_34
    | ~ spl27_71 ),
    inference(resolution,[],[f34641,f422]) ).

tff(f422,plain,
    ! [X0: $int,X1: key1] :
      ( ~ $less(bucket1(X1,X0),0)
      | ~ $less(0,X0) ),
    inference(cnf_transformation,[],[f296]) ).

tff(f34641,plain,
    ( ! [X6: uni,X7: $int,X5: key1] :
        ( $less(bucket1(X5,length1(sF13,sF26)),0)
        | ~ $less(X7,sK3)
        | ~ in_data1(a,X5,X6,sF26)
        | ( bucket1(X5,length1(sF13,sF26)) = sK3 )
        | $less(X7,bucket1(X5,length1(sF13,sF26))) )
    | spl27_2
    | ~ spl27_8
    | ~ spl27_13
    | ~ spl27_23
    | ~ spl27_27
    | ~ spl27_34
    | ~ spl27_71 ),
    inference(resolution,[],[f34589,f132]) ).

tff(f34589,plain,
    ( ! [X0: key1,X1: uni] :
        ( $less(sK3,bucket1(X0,length1(sF13,sF26)))
        | $less(bucket1(X0,length1(sF13,sF26)),0)
        | ~ in_data1(a,X0,X1,sF26)
        | ( bucket1(X0,length1(sF13,sF26)) = sK3 ) )
    | spl27_2
    | ~ spl27_8
    | ~ spl27_13
    | ~ spl27_23
    | ~ spl27_27
    | ~ spl27_34
    | ~ spl27_71 ),
    inference(resolution,[],[f34574,f133]) ).

tff(f133,plain,
    ! [X0: $int,X1: $int] :
      ( $less(X1,X0)
      | ( X0 = X1 )
      | $less(X0,X1) ),
    introduced(theory_axiom_149,[]) ).

tff(f34574,plain,
    ( ! [X0: key1,X1: uni] :
        ( ~ $less(bucket1(X0,length1(sF13,sF26)),sK3)
        | ~ in_data1(a,X0,X1,sF26)
        | $less(bucket1(X0,length1(sF13,sF26)),0) )
    | spl27_2
    | ~ spl27_8
    | ~ spl27_13
    | ~ spl27_23
    | ~ spl27_27
    | ~ spl27_34
    | ~ spl27_71 ),
    inference(subsumption_resolution,[],[f34571,f917]) ).

tff(f34571,plain,
    ( ! [X0: key1,X1: uni] :
        ( ~ sort1(sF12,tuple21(key,a,t2tb1(X0),X1))
        | ~ $less(bucket1(X0,length1(sF13,sF26)),sK3)
        | ~ in_data1(a,X0,X1,sF26)
        | $less(bucket1(X0,length1(sF13,sF26)),0) )
    | spl27_2
    | ~ spl27_8
    | ~ spl27_13
    | ~ spl27_23
    | ~ spl27_27
    | ~ spl27_34
    | ~ spl27_71 ),
    inference(resolution,[],[f34557,f814]) ).

tff(f34557,plain,
    ( ! [X2: uni,X1: key1] :
        ( mem(sF12,tuple21(key,a,t2tb1(X1),X2),sF21)
        | $less(bucket1(X1,length1(sF13,sF26)),0)
        | ~ in_data1(a,X1,X2,sF26)
        | ~ $less(bucket1(X1,length1(sF13,sF26)),sK3) )
    | spl27_2
    | ~ spl27_8
    | ~ spl27_23
    | ~ spl27_27
    | ~ spl27_34
    | ~ spl27_71 ),
    inference(superposition,[],[f3417,f4105]) ).

tff(f3417,plain,
    ( ! [X2: uni,X0: key1,X1: uni] :
        ( mem(sF12,tuple21(key,a,t2tb1(X0),X1),get2(sF13,X2,bucket1(X0,length1(sF13,X2))))
        | ~ in_data1(a,X0,X1,X2) )
    | ~ spl27_8
    | ~ spl27_27 ),
    inference(forward_demodulation,[],[f3415,f493]) ).

tff(f3415,plain,
    ( ! [X2: uni,X0: key1,X1: uni] :
        ( ~ in_data1(a,X0,X1,X2)
        | mem(sF12,tuple21(key,a,t2tb1(X0),X1),get2(list(sF12),X2,bucket1(X0,length1(list(sF12),X2)))) )
    | ~ spl27_27 ),
    inference(superposition,[],[f310,f593]) ).

tff(f310,plain,
    ! [X2: uni,X3: key1,X0: uni,X1: ty] :
      ( mem(tuple2(key,X1),tuple21(key,X1,t2tb1(X3),X0),get2(list(tuple2(key,X1)),X2,bucket1(X3,length1(list(tuple2(key,X1)),X2))))
      | ~ in_data1(X1,X3,X0,X2) ),
    inference(cnf_transformation,[],[f174]) ).

tff(f174,plain,
    ! [X3: key1,X2: uni,X0: uni,X1: ty] :
      ( in_data1(X1,X3,X0,X2)
    <=> mem(tuple2(key,X1),tuple21(key,X1,t2tb1(X3),X0),get2(list(tuple2(key,X1)),X2,bucket1(X3,length1(list(tuple2(key,X1)),X2)))) ),
    inference(rectify,[],[f79]) ).

tff(f79,axiom,
    ! [X9: uni,X0: ty,X20: uni,X19: key1] :
      ( mem(tuple2(key,X0),tuple21(key,X0,t2tb1(X19),X9),get2(list(tuple2(key,X0)),X20,bucket1(X19,length1(list(tuple2(key,X0)),X20))))
    <=> in_data1(X0,X19,X9,X20) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',in_data_def) ).

tff(f35199,plain,
    ( ~ spl27_44
    | ~ spl27_178 ),
    inference(avatar_contradiction_clause,[],[f35198]) ).

tff(f35198,plain,
    ( $false
    | ~ spl27_44
    | ~ spl27_178 ),
    inference(subsumption_resolution,[],[f35157,f131]) ).

tff(f35157,plain,
    ( $less(sK3,sK3)
    | ~ spl27_44
    | ~ spl27_178 ),
    inference(backward_demodulation,[],[f34668,f788]) ).

tff(f34668,plain,
    ( $less(sK3,length1(sF13,sF26))
    | ~ spl27_178 ),
    inference(avatar_component_clause,[],[f34667]) ).

tff(f34667,plain,
    ( spl27_178
  <=> $less(sK3,length1(sF13,sF26)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl27_178])]) ).

tff(f35145,plain,
    ( spl27_192
    | spl27_193
    | spl27_164 ),
    inference(avatar_split_clause,[],[f34926,f33726,f35143,f35140]) ).

tff(f35140,plain,
    ( spl27_192
  <=> ( 1 = sK8 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl27_192])]) ).

tff(f33726,plain,
    ( spl27_164
  <=> $less(sK8,1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl27_164])]) ).

tff(f34926,plain,
    ( $less(1,sK8)
    | ( 1 = sK8 )
    | spl27_164 ),
    inference(resolution,[],[f34924,f133]) ).

tff(f34924,plain,
    ( ~ $less(sK8,1)
    | spl27_164 ),
    inference(avatar_component_clause,[],[f33726]) ).

tff(f35041,plain,
    ( spl27_191
    | ~ spl27_82
    | ~ spl27_172 ),
    inference(avatar_split_clause,[],[f34936,f34099,f3634,f35039]) ).

tff(f35039,plain,
    ( spl27_191
  <=> $less($uminus(abs1(1)),sK8) ),
    introduced(avatar_definition,[new_symbols(naming,[spl27_191])]) ).

tff(f3634,plain,
    ( spl27_82
  <=> $less($uminus(abs1(1)),0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl27_82])]) ).

tff(f34099,plain,
    ( spl27_172
  <=> $less(0,sK8) ),
    introduced(avatar_definition,[new_symbols(naming,[spl27_172])]) ).

tff(f34936,plain,
    ( $less($uminus(abs1(1)),sK8)
    | ~ spl27_82
    | ~ spl27_172 ),
    inference(resolution,[],[f34923,f3635]) ).

tff(f3635,plain,
    ( $less($uminus(abs1(1)),0)
    | ~ spl27_82 ),
    inference(avatar_component_clause,[],[f3634]) ).

tff(f34923,plain,
    ( ! [X1: $int] :
        ( ~ $less(X1,0)
        | $less(X1,sK8) )
    | ~ spl27_172 ),
    inference(resolution,[],[f34918,f132]) ).

tff(f34918,plain,
    ( $less(0,sK8)
    | ~ spl27_172 ),
    inference(avatar_component_clause,[],[f34099]) ).

tff(f34979,plain,
    ( spl27_177
    | spl27_190
    | spl27_2
    | ~ spl27_8
    | ~ spl27_13
    | ~ spl27_23
    | ~ spl27_27
    | ~ spl27_34
    | ~ spl27_71 ),
    inference(avatar_split_clause,[],[f34738,f2853,f640,f592,f567,f513,f492,f465,f34977,f34623]) ).

tff(f34623,plain,
    ( spl27_177
  <=> ! [X6: uni,X4: key1,X5: $int] :
        ( ~ in_data1(a,X4,X6,sF26)
        | ~ $less(X5,length1(sF13,sF26))
        | $less(X5,hash1(X4))
        | ~ $less(hash1(X4),sK3) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl27_177])]) ).

tff(f34977,plain,
    ( spl27_190
  <=> ! [X26: $int] :
        ( ~ $less(mod1(length1(sF13,sF26),X26),0)
        | ( 0 = X26 ) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl27_190])]) ).

tff(f34738,plain,
    ( ! [X28: $int,X26: $int,X27: uni,X25: key1] :
        ( ~ $less(mod1(length1(sF13,sF26),X26),0)
        | ~ $less(hash1(X25),sK3)
        | $less(X28,hash1(X25))
        | ~ $less(X28,length1(sF13,sF26))
        | ( 0 = X26 )
        | ~ in_data1(a,X25,X27,sF26) )
    | spl27_2
    | ~ spl27_8
    | ~ spl27_13
    | ~ spl27_23
    | ~ spl27_27
    | ~ spl27_34
    | ~ spl27_71 ),
    inference(superposition,[],[f1326,f34606]) ).

tff(f34606,plain,
    ( ! [X2: $int,X3: uni,X0: key1,X1: $int] :
        ( ( bucket1(X0,X1) = mod1(length1(sF13,sF26),X1) )
        | ~ in_data1(a,X0,X3,sF26)
        | ~ $less(hash1(X0),sK3)
        | ~ $less(X2,length1(sF13,sF26))
        | $less(X2,hash1(X0)) )
    | spl27_2
    | ~ spl27_8
    | ~ spl27_13
    | ~ spl27_23
    | ~ spl27_27
    | ~ spl27_34
    | ~ spl27_71 ),
    inference(superposition,[],[f346,f34595]) ).

tff(f34595,plain,
    ( ! [X3: key1,X4: uni,X5: $int] :
        ( ( length1(sF13,sF26) = hash1(X3) )
        | ~ $less(hash1(X3),sK3)
        | ~ $less(X5,length1(sF13,sF26))
        | $less(X5,hash1(X3))
        | ~ in_data1(a,X3,X4,sF26) )
    | spl27_2
    | ~ spl27_8
    | ~ spl27_13
    | ~ spl27_23
    | ~ spl27_27
    | ~ spl27_34
    | ~ spl27_71 ),
    inference(resolution,[],[f34593,f132]) ).

tff(f34593,plain,
    ( ! [X0: key1,X1: uni] :
        ( $less(length1(sF13,sF26),hash1(X0))
        | ( length1(sF13,sF26) = hash1(X0) )
        | ~ $less(hash1(X0),sK3)
        | ~ in_data1(a,X0,X1,sF26) )
    | spl27_2
    | ~ spl27_8
    | ~ spl27_13
    | ~ spl27_23
    | ~ spl27_27
    | ~ spl27_34
    | ~ spl27_71 ),
    inference(resolution,[],[f34591,f133]) ).

tff(f34591,plain,
    ( ! [X0: key1,X1: uni] :
        ( ~ $less(hash1(X0),length1(sF13,sF26))
        | ~ $less(hash1(X0),sK3)
        | ~ in_data1(a,X0,X1,sF26) )
    | spl27_2
    | ~ spl27_8
    | ~ spl27_13
    | ~ spl27_23
    | ~ spl27_27
    | ~ spl27_34
    | ~ spl27_71 ),
    inference(subsumption_resolution,[],[f34590,f410]) ).

tff(f410,plain,
    ! [X0: key1] : ~ $less(hash1(X0),0),
    inference(cnf_transformation,[],[f195]) ).

tff(f195,plain,
    ! [X0: key1] : ~ $less(hash1(X0),0),
    inference(rectify,[],[f117]) ).

tff(f117,plain,
    ! [X19: key1] : ~ $less(hash1(X19),0),
    inference(theory_normalization,[],[f67]) ).

tff(f67,axiom,
    ! [X19: key1] : $lesseq(0,hash1(X19)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hash_nonneg) ).

tff(f34590,plain,
    ( ! [X0: key1,X1: uni] :
        ( ~ in_data1(a,X0,X1,sF26)
        | ~ $less(hash1(X0),sK3)
        | ~ $less(hash1(X0),length1(sF13,sF26))
        | $less(hash1(X0),0) )
    | spl27_2
    | ~ spl27_8
    | ~ spl27_13
    | ~ spl27_23
    | ~ spl27_27
    | ~ spl27_34
    | ~ spl27_71 ),
    inference(superposition,[],[f34574,f1463]) ).

tff(f1463,plain,
    ! [X3: key1,X4: $int] :
      ( ( hash1(X3) = bucket1(X3,X4) )
      | ~ $less(hash1(X3),X4) ),
    inference(subsumption_resolution,[],[f1455,f410]) ).

tff(f1455,plain,
    ! [X3: key1,X4: $int] :
      ( $less(hash1(X3),0)
      | ( hash1(X3) = bucket1(X3,X4) )
      | ~ $less(hash1(X3),X4) ),
    inference(superposition,[],[f381,f346]) ).

tff(f381,plain,
    ! [X0: $int,X1: $int] :
      ( ( mod1(X1,X0) = X1 )
      | $less(X1,0)
      | ~ $less(X1,X0) ),
    inference(cnf_transformation,[],[f247]) ).

tff(f247,plain,
    ! [X0: $int,X1: $int] :
      ( ( mod1(X1,X0) = X1 )
      | ~ $less(X1,X0)
      | $less(X1,0) ),
    inference(flattening,[],[f246]) ).

tff(f246,plain,
    ! [X0: $int,X1: $int] :
      ( ( mod1(X1,X0) = X1 )
      | ~ $less(X1,X0)
      | $less(X1,0) ),
    inference(ennf_transformation,[],[f190]) ).

tff(f190,plain,
    ! [X0: $int,X1: $int] :
      ( ( $less(X1,X0)
        & ~ $less(X1,0) )
     => ( mod1(X1,X0) = X1 ) ),
    inference(rectify,[],[f115]) ).

tff(f115,plain,
    ! [X7: $int,X1: $int] :
      ( ( ~ $less(X1,0)
        & $less(X1,X7) )
     => ( mod1(X1,X7) = X1 ) ),
    inference(theory_normalization,[],[f23]) ).

tff(f23,axiom,
    ! [X7: $int,X1: $int] :
      ( ( $lesseq(0,X1)
        & $less(X1,X7) )
     => ( mod1(X1,X7) = X1 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mod_inf) ).

tff(f346,plain,
    ! [X0: $int,X1: key1] : ( mod1(hash1(X1),X0) = bucket1(X1,X0) ),
    inference(cnf_transformation,[],[f208]) ).

tff(f208,plain,
    ! [X0: $int,X1: key1] : ( mod1(hash1(X1),X0) = bucket1(X1,X0) ),
    inference(rectify,[],[f68]) ).

tff(f68,axiom,
    ! [X18: $int,X19: key1] : ( bucket1(X19,X18) = mod1(hash1(X19),X18) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',bucket_def) ).

tff(f1326,plain,
    ! [X2: $int,X1: key1] :
      ( ~ $less(bucket1(X1,X2),0)
      | ( 0 = X2 ) ),
    inference(subsumption_resolution,[],[f1325,f410]) ).

tff(f1325,plain,
    ! [X2: $int,X1: key1] :
      ( ( 0 = X2 )
      | ~ $less(bucket1(X1,X2),0)
      | $less(hash1(X1),0) ),
    inference(superposition,[],[f313,f346]) ).

tff(f313,plain,
    ! [X0: $int,X1: $int] :
      ( ~ $less(mod1(X1,X0),0)
      | ( 0 = X0 )
      | $less(X1,0) ),
    inference(cnf_transformation,[],[f291]) ).

tff(f291,plain,
    ! [X0: $int,X1: $int] :
      ( $less(X1,0)
      | ( 0 = X0 )
      | ~ $less(mod1(X1,X0),0) ),
    inference(flattening,[],[f290]) ).

tff(f290,plain,
    ! [X0: $int,X1: $int] :
      ( ~ $less(mod1(X1,X0),0)
      | ( 0 = X0 )
      | $less(X1,0) ),
    inference(ennf_transformation,[],[f211]) ).

tff(f211,plain,
    ! [X0: $int,X1: $int] :
      ( ( ( 0 != X0 )
        & ~ $less(X1,0) )
     => ~ $less(mod1(X1,X0),0) ),
    inference(rectify,[],[f118]) ).

tff(f118,plain,
    ! [X7: $int,X1: $int] :
      ( ( ~ $less(X1,0)
        & ( 0 != X7 ) )
     => ~ $less(mod1(X1,X7),0) ),
    inference(theory_normalization,[],[f17]) ).

tff(f17,axiom,
    ! [X7: $int,X1: $int] :
      ( ( $lesseq(0,X1)
        & ( 0 != X7 ) )
     => $lesseq(0,mod1(X1,X7)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mod_sign_pos) ).

tff(f34975,plain,
    ( spl27_177
    | spl27_189
    | spl27_2
    | ~ spl27_8
    | ~ spl27_13
    | ~ spl27_23
    | ~ spl27_27
    | ~ spl27_34
    | ~ spl27_71 ),
    inference(avatar_split_clause,[],[f34733,f2853,f640,f592,f567,f513,f492,f465,f34973,f34623]) ).

tff(f34973,plain,
    ( spl27_189
  <=> ! [X5: $int] :
        ( ~ $less(0,X5)
        | ~ $less(mod1(length1(sF13,sF26),X5),0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl27_189])]) ).

tff(f34733,plain,
    ( ! [X6: uni,X7: $int,X4: key1,X5: $int] :
        ( ~ $less(0,X5)
        | ~ $less(hash1(X4),sK3)
        | ~ $less(mod1(length1(sF13,sF26),X5),0)
        | $less(X7,hash1(X4))
        | ~ $less(X7,length1(sF13,sF26))
        | ~ in_data1(a,X4,X6,sF26) )
    | spl27_2
    | ~ spl27_8
    | ~ spl27_13
    | ~ spl27_23
    | ~ spl27_27
    | ~ spl27_34
    | ~ spl27_71 ),
    inference(superposition,[],[f422,f34606]) ).

tff(f34953,plain,
    ( spl27_188
    | ~ spl27_172 ),
    inference(avatar_split_clause,[],[f34948,f34099,f34951]) ).

tff(f34951,plain,
    ( spl27_188
  <=> $less(-1,sK8) ),
    introduced(avatar_definition,[new_symbols(naming,[spl27_188])]) ).

tff(f34948,plain,
    ( $less(-1,sK8)
    | ~ spl27_172 ),
    inference(evaluation,[],[f34945]) ).

tff(f34945,plain,
    ( $less(0,0)
    | $less(-1,sK8)
    | ~ spl27_172 ),
    inference(resolution,[],[f34923,f752]) ).

tff(f752,plain,
    ! [X3: $int] :
      ( $less(-1,X3)
      | $less(X3,0) ),
    inference(evaluation,[],[f750]) ).

tff(f750,plain,
    ! [X3: $int] :
      ( $less(X3,0)
      | $less($uminus(1),X3) ),
    inference(superposition,[],[f135,f609]) ).

tff(f609,plain,
    ! [X0: $int] : ( 0 = $sum($uminus(X0),X0) ),
    inference(superposition,[],[f130,f136]) ).

tff(f34930,plain,
    ( spl27_177
    | spl27_187
    | spl27_2
    | ~ spl27_8
    | ~ spl27_13
    | ~ spl27_23
    | ~ spl27_27
    | ~ spl27_34
    | ~ spl27_71 ),
    inference(avatar_split_clause,[],[f34732,f2853,f640,f592,f567,f513,f492,f465,f34928,f34623]) ).

tff(f34928,plain,
    ( spl27_187
  <=> ! [X1: $int] :
        ( ~ $less(0,X1)
        | $less(mod1(length1(sF13,sF26),X1),X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl27_187])]) ).

tff(f34732,plain,
    ( ! [X2: uni,X3: $int,X0: key1,X1: $int] :
        ( ~ $less(0,X1)
        | $less(mod1(length1(sF13,sF26),X1),X1)
        | $less(X3,hash1(X0))
        | ~ $less(X3,length1(sF13,sF26))
        | ~ $less(hash1(X0),sK3)
        | ~ in_data1(a,X0,X2,sF26) )
    | spl27_2
    | ~ spl27_8
    | ~ spl27_13
    | ~ spl27_23
    | ~ spl27_27
    | ~ spl27_34
    | ~ spl27_71 ),
    inference(superposition,[],[f421,f34606]) ).

tff(f34925,plain,
    ( ~ spl27_164
    | ~ spl27_172 ),
    inference(avatar_split_clause,[],[f34921,f34099,f33726]) ).

tff(f34921,plain,
    ( ~ $less(sK8,1)
    | ~ spl27_172 ),
    inference(resolution,[],[f34918,f740]) ).

tff(f34919,plain,
    ( spl27_165
    | spl27_172
    | spl27_35 ),
    inference(avatar_split_clause,[],[f34570,f654,f34099,f33738]) ).

tff(f34570,plain,
    ( $less(0,sK8)
    | ( 0 = sK8 )
    | spl27_35 ),
    inference(resolution,[],[f655,f133]) ).

tff(f34902,plain,
    ( ~ spl27_186
    | ~ spl27_179 ),
    inference(avatar_split_clause,[],[f34841,f34670,f34900]) ).

tff(f34900,plain,
    ( spl27_186
  <=> $less(length1(sF13,sF26),1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl27_186])]) ).

tff(f34841,plain,
    ( ~ $less(length1(sF13,sF26),1)
    | ~ spl27_179 ),
    inference(resolution,[],[f34836,f740]) ).

tff(f34850,plain,
    ( ~ spl27_182
    | spl27_185
    | spl27_183
    | spl27_2
    | ~ spl27_8
    | ~ spl27_13
    | ~ spl27_23
    | ~ spl27_27
    | ~ spl27_34
    | ~ spl27_71
    | ~ spl27_162
    | ~ spl27_179 ),
    inference(avatar_split_clause,[],[f34846,f34670,f33468,f2853,f640,f592,f567,f513,f492,f465,f34713,f34848,f34710]) ).

tff(f34710,plain,
    ( spl27_182
  <=> $less(hash1(sK10),sK3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl27_182])]) ).

tff(f34848,plain,
    ( spl27_185
  <=> $less(0,hash1(sK10)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl27_185])]) ).

tff(f34713,plain,
    ( spl27_183
  <=> ! [X0: $int] :
        ( $less(X0,hash1(sK10))
        | ~ $less(X0,length1(sF13,sF26)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl27_183])]) ).

tff(f34846,plain,
    ( ! [X0: $int] :
        ( ~ $less(X0,length1(sF13,sF26))
        | $less(0,hash1(sK10))
        | ~ $less(hash1(sK10),sK3)
        | $less(X0,hash1(sK10)) )
    | spl27_2
    | ~ spl27_8
    | ~ spl27_13
    | ~ spl27_23
    | ~ spl27_27
    | ~ spl27_34
    | ~ spl27_71
    | ~ spl27_162
    | ~ spl27_179 ),
    inference(resolution,[],[f34845,f33469]) ).

tff(f34845,plain,
    ( ! [X3: key1,X4: $int,X5: uni] :
        ( ~ in_data1(a,X3,X5,sF26)
        | $less(0,hash1(X3))
        | $less(X4,hash1(X3))
        | ~ $less(hash1(X3),sK3)
        | ~ $less(X4,length1(sF13,sF26)) )
    | spl27_2
    | ~ spl27_8
    | ~ spl27_13
    | ~ spl27_23
    | ~ spl27_27
    | ~ spl27_34
    | ~ spl27_71
    | ~ spl27_179 ),
    inference(superposition,[],[f34836,f34595]) ).

tff(f34840,plain,
    ( spl27_177
    | spl27_179
    | spl27_184
    | spl27_2
    | ~ spl27_8
    | ~ spl27_13
    | ~ spl27_23
    | ~ spl27_27
    | ~ spl27_34
    | ~ spl27_71 ),
    inference(avatar_split_clause,[],[f34608,f2853,f640,f592,f567,f513,f492,f465,f34838,f34670,f34623]) ).

tff(f34838,plain,
    ( spl27_184
  <=> ( 0 = length1(sF13,sF26) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl27_184])]) ).

tff(f34608,plain,
    ( ! [X8: $int,X9: uni,X7: key1] :
        ( ( 0 = length1(sF13,sF26) )
        | $less(0,length1(sF13,sF26))
        | ~ $less(X8,length1(sF13,sF26))
        | ~ $less(hash1(X7),sK3)
        | ~ in_data1(a,X7,X9,sF26)
        | $less(X8,hash1(X7)) )
    | spl27_2
    | ~ spl27_8
    | ~ spl27_13
    | ~ spl27_23
    | ~ spl27_27
    | ~ spl27_34
    | ~ spl27_71 ),
    inference(superposition,[],[f892,f34595]) ).

tff(f892,plain,
    ! [X14: key1] :
      ( $less(0,hash1(X14))
      | ( 0 = hash1(X14) ) ),
    inference(resolution,[],[f133,f410]) ).

tff(f34715,plain,
    ( spl27_181
    | ~ spl27_182
    | spl27_183
    | spl27_2
    | ~ spl27_8
    | ~ spl27_13
    | ~ spl27_23
    | ~ spl27_27
    | ~ spl27_34
    | ~ spl27_71
    | ~ spl27_162
    | ~ spl27_178 ),
    inference(avatar_split_clause,[],[f34705,f34667,f33468,f2853,f640,f592,f567,f513,f492,f465,f34713,f34710,f34707]) ).

tff(f34705,plain,
    ( ! [X0: $int] :
        ( $less(X0,hash1(sK10))
        | ~ $less(X0,length1(sF13,sF26))
        | ~ $less(hash1(sK10),sK3)
        | $less(sK3,hash1(sK10)) )
    | spl27_2
    | ~ spl27_8
    | ~ spl27_13
    | ~ spl27_23
    | ~ spl27_27
    | ~ spl27_34
    | ~ spl27_71
    | ~ spl27_162
    | ~ spl27_178 ),
    inference(resolution,[],[f34689,f33469]) ).

tff(f34689,plain,
    ( ! [X2: uni,X0: key1,X1: $int] :
        ( ~ in_data1(a,X0,X2,sF26)
        | ~ $less(X1,length1(sF13,sF26))
        | $less(X1,hash1(X0))
        | $less(sK3,hash1(X0))
        | ~ $less(hash1(X0),sK3) )
    | spl27_2
    | ~ spl27_8
    | ~ spl27_13
    | ~ spl27_23
    | ~ spl27_27
    | ~ spl27_34
    | ~ spl27_71
    | ~ spl27_178 ),
    inference(superposition,[],[f34668,f34595]) ).

tff(f34675,plain,
    ( spl27_178
    | ~ spl27_179
    | spl27_180
    | spl27_2
    | ~ spl27_8
    | ~ spl27_13
    | ~ spl27_23
    | ~ spl27_27
    | ~ spl27_34
    | ~ spl27_71 ),
    inference(avatar_split_clause,[],[f34645,f2853,f640,f592,f567,f513,f492,f465,f34673,f34670,f34667]) ).

tff(f34673,plain,
    ( spl27_180
  <=> ! [X0: key1,X1: uni] :
        ( ~ in_data1(a,X0,X1,sF26)
        | ( bucket1(X0,length1(sF13,sF26)) = sK3 ) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl27_180])]) ).

tff(f34645,plain,
    ( ! [X0: key1,X1: uni] :
        ( ~ in_data1(a,X0,X1,sF26)
        | ~ $less(0,length1(sF13,sF26))
        | $less(sK3,length1(sF13,sF26))
        | ( bucket1(X0,length1(sF13,sF26)) = sK3 ) )
    | spl27_2
    | ~ spl27_8
    | ~ spl27_13
    | ~ spl27_23
    | ~ spl27_27
    | ~ spl27_34
    | ~ spl27_71 ),
    inference(subsumption_resolution,[],[f34639,f422]) ).

tff(f34639,plain,
    ( ! [X0: key1,X1: uni] :
        ( ~ in_data1(a,X0,X1,sF26)
        | ( bucket1(X0,length1(sF13,sF26)) = sK3 )
        | $less(bucket1(X0,length1(sF13,sF26)),0)
        | $less(sK3,length1(sF13,sF26))
        | ~ $less(0,length1(sF13,sF26)) )
    | spl27_2
    | ~ spl27_8
    | ~ spl27_13
    | ~ spl27_23
    | ~ spl27_27
    | ~ spl27_34
    | ~ spl27_71 ),
    inference(resolution,[],[f34589,f875]) ).

tff(f875,plain,
    ! [X21: $int,X22: key1,X20: $int] :
      ( ~ $less(X20,bucket1(X22,X21))
      | ~ $less(0,X21)
      | $less(X20,X21) ),
    inference(resolution,[],[f132,f421]) ).

tff(f34663,plain,
    spl27_145,
    inference(avatar_contradiction_clause,[],[f34662]) ).

tff(f34662,plain,
    ( $false
    | spl27_145 ),
    inference(evaluation,[],[f34657]) ).

tff(f34657,plain,
    ( ~ $less(0,2)
    | spl27_145 ),
    inference(resolution,[],[f23761,f412]) ).

tff(f23761,plain,
    ( ~ $less(0,abs1(2))
    | spl27_145 ),
    inference(avatar_component_clause,[],[f23760]) ).

tff(f23760,plain,
    ( spl27_145
  <=> $less(0,abs1(2)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl27_145])]) ).

tff(f34661,plain,
    spl27_145,
    inference(avatar_contradiction_clause,[],[f34660]) ).

tff(f34660,plain,
    ( $false
    | spl27_145 ),
    inference(evaluation,[],[f34659]) ).

tff(f34659,plain,
    ( ~ $less(0,2)
    | $less(2,0)
    | spl27_145 ),
    inference(superposition,[],[f23761,f377]) ).

tff(f34625,plain,
    ( ~ spl27_176
    | spl27_177
    | spl27_2
    | ~ spl27_8
    | ~ spl27_13
    | ~ spl27_23
    | ~ spl27_27
    | ~ spl27_34
    | ~ spl27_71 ),
    inference(avatar_split_clause,[],[f34607,f2853,f640,f592,f567,f513,f492,f465,f34623,f34620]) ).

tff(f34620,plain,
    ( spl27_176
  <=> $less(length1(sF13,sF26),0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl27_176])]) ).

tff(f34607,plain,
    ( ! [X6: uni,X4: key1,X5: $int] :
        ( ~ in_data1(a,X4,X6,sF26)
        | ~ $less(hash1(X4),sK3)
        | $less(X5,hash1(X4))
        | ~ $less(length1(sF13,sF26),0)
        | ~ $less(X5,length1(sF13,sF26)) )
    | spl27_2
    | ~ spl27_8
    | ~ spl27_13
    | ~ spl27_23
    | ~ spl27_27
    | ~ spl27_34
    | ~ spl27_71 ),
    inference(superposition,[],[f410,f34595]) ).

tff(f34579,plain,
    ( spl27_47
    | spl27_175
    | spl27_109
    | ~ spl27_3
    | ~ spl27_80
    | ~ spl27_82 ),
    inference(avatar_split_clause,[],[f4325,f3634,f3623,f469,f7786,f34577,f905]) ).

tff(f905,plain,
    ( spl27_47
  <=> $less(1,sK3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl27_47])]) ).

tff(f34577,plain,
    ( spl27_175
  <=> ( 0 = $uminus(abs1(1)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl27_175])]) ).

tff(f7786,plain,
    ( spl27_109
  <=> $less($uminus(abs1(1)),2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl27_109])]) ).

tff(f3623,plain,
    ( spl27_80
  <=> $less(0,$sum(1,abs1(1))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl27_80])]) ).

tff(f4325,plain,
    ( $less($uminus(abs1(1)),2)
    | ( 0 = $uminus(abs1(1)) )
    | $less(1,sK3)
    | ~ spl27_3
    | ~ spl27_80
    | ~ spl27_82 ),
    inference(evaluation,[],[f4318]) ).

tff(f4318,plain,
    ( ( 0 = 1 )
    | $less($uminus(abs1(1)),2)
    | $less(1,sK3)
    | ( 0 = $uminus(abs1(1)) )
    | ~ spl27_3
    | ~ spl27_80
    | ~ spl27_82 ),
    inference(resolution,[],[f4276,f3673]) ).

tff(f3673,plain,
    ( ! [X0: $int] :
        ( ~ $less(X0,1)
        | $less(X0,2)
        | ( 0 = X0 ) )
    | ~ spl27_80 ),
    inference(resolution,[],[f3667,f740]) ).

tff(f3667,plain,
    ( ! [X0: $int] :
        ( $less(0,X0)
        | ( 0 = X0 )
        | $less(X0,2) )
    | ~ spl27_80 ),
    inference(resolution,[],[f3661,f133]) ).

tff(f3661,plain,
    ( ! [X0: $int] :
        ( ~ $less(X0,0)
        | $less(X0,2) )
    | ~ spl27_80 ),
    inference(evaluation,[],[f3660]) ).

tff(f3660,plain,
    ( ! [X0: $int] :
        ( $less(X0,$sum(1,1))
        | ~ $less(X0,0)
        | $less(1,0) )
    | ~ spl27_80 ),
    inference(superposition,[],[f3631,f377]) ).

tff(f3631,plain,
    ( ! [X0: $int] :
        ( $less(X0,$sum(1,abs1(1)))
        | ~ $less(X0,0) )
    | ~ spl27_80 ),
    inference(resolution,[],[f3624,f132]) ).

tff(f3624,plain,
    ( $less(0,$sum(1,abs1(1)))
    | ~ spl27_80 ),
    inference(avatar_component_clause,[],[f3623]) ).

tff(f4276,plain,
    ( ! [X5: $int] :
        ( $less($uminus(abs1(1)),X5)
        | ( 0 = X5 )
        | $less(X5,sK3) )
    | ~ spl27_3
    | ~ spl27_82 ),
    inference(resolution,[],[f934,f3635]) ).

tff(f934,plain,
    ( ! [X2: $int,X1: $int] :
        ( ~ $less(X2,0)
        | $less(X2,X1)
        | $less(X1,sK3)
        | ( 0 = X1 ) )
    | ~ spl27_3 ),
    inference(resolution,[],[f884,f132]) ).

tff(f884,plain,
    ( ! [X4: $int] :
        ( $less(0,X4)
        | $less(X4,sK3)
        | ( 0 = X4 ) )
    | ~ spl27_3 ),
    inference(resolution,[],[f133,f872]) ).

tff(f34553,plain,
    ( spl27_2
    | ~ spl27_8
    | ~ spl27_13
    | ~ spl27_23
    | ~ spl27_27
    | ~ spl27_34
    | ~ spl27_63
    | ~ spl27_65
    | ~ spl27_71
    | ~ spl27_162 ),
    inference(avatar_contradiction_clause,[],[f34552]) ).

tff(f34552,plain,
    ( $false
    | spl27_2
    | ~ spl27_8
    | ~ spl27_13
    | ~ spl27_23
    | ~ spl27_27
    | ~ spl27_34
    | ~ spl27_63
    | ~ spl27_65
    | ~ spl27_71
    | ~ spl27_162 ),
    inference(resolution,[],[f34522,f33469]) ).

tff(f34522,plain,
    ( ! [X2: key1,X3: uni] : ~ in_data1(a,X2,X3,sF26)
    | spl27_2
    | ~ spl27_8
    | ~ spl27_13
    | ~ spl27_23
    | ~ spl27_27
    | ~ spl27_34
    | ~ spl27_63
    | ~ spl27_65
    | ~ spl27_71 ),
    inference(subsumption_resolution,[],[f34518,f917]) ).

tff(f34518,plain,
    ( ! [X2: key1,X3: uni] :
        ( ~ sort1(sF12,tuple21(key,a,t2tb1(X2),X3))
        | ~ in_data1(a,X2,X3,sF26) )
    | spl27_2
    | ~ spl27_8
    | ~ spl27_13
    | ~ spl27_23
    | ~ spl27_27
    | ~ spl27_34
    | ~ spl27_63
    | ~ spl27_65
    | ~ spl27_71 ),
    inference(resolution,[],[f34514,f814]) ).

tff(f34514,plain,
    ( ! [X0: key1,X1: uni] :
        ( mem(sF12,tuple21(key,a,t2tb1(X0),X1),sF21)
        | ~ in_data1(a,X0,X1,sF26) )
    | spl27_2
    | ~ spl27_8
    | ~ spl27_23
    | ~ spl27_27
    | ~ spl27_34
    | ~ spl27_63
    | ~ spl27_65
    | ~ spl27_71 ),
    inference(evaluation,[],[f34513]) ).

tff(f34513,plain,
    ( ! [X0: key1,X1: uni] :
        ( ~ in_data1(a,X0,X1,sF26)
        | $less(0,0)
        | mem(sF12,tuple21(key,a,t2tb1(X0),X1),sF21) )
    | spl27_2
    | ~ spl27_8
    | ~ spl27_23
    | ~ spl27_27
    | ~ spl27_34
    | ~ spl27_63
    | ~ spl27_65
    | ~ spl27_71 ),
    inference(forward_demodulation,[],[f34512,f790]) ).

tff(f790,plain,
    ! [X2: key1] : ( 0 = bucket1(X2,1) ),
    inference(superposition,[],[f346,f333]) ).

tff(f333,plain,
    ! [X0: $int] : ( 0 = mod1(X0,1) ),
    inference(cnf_transformation,[],[f151]) ).

tff(f151,plain,
    ! [X0: $int] : ( 0 = mod1(X0,1) ),
    inference(rectify,[],[f21]) ).

tff(f21,axiom,
    ! [X1: $int] : ( 0 = mod1(X1,1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mod_1) ).

tff(f34512,plain,
    ( ! [X0: key1,X1: uni] :
        ( mem(sF12,tuple21(key,a,t2tb1(X0),X1),sF21)
        | ~ in_data1(a,X0,X1,sF26)
        | $less(bucket1(X0,1),0) )
    | spl27_2
    | ~ spl27_8
    | ~ spl27_23
    | ~ spl27_27
    | ~ spl27_34
    | ~ spl27_63
    | ~ spl27_65
    | ~ spl27_71 ),
    inference(forward_demodulation,[],[f34511,f2769]) ).

tff(f2769,plain,
    ( ( 1 = length1(sF13,sF26) )
    | ~ spl27_65 ),
    inference(avatar_component_clause,[],[f2768]) ).

tff(f2768,plain,
    ( spl27_65
  <=> ( 1 = length1(sF13,sF26) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl27_65])]) ).

tff(f34511,plain,
    ( ! [X0: key1,X1: uni] :
        ( ~ in_data1(a,X0,X1,sF26)
        | mem(sF12,tuple21(key,a,t2tb1(X0),X1),sF21)
        | $less(bucket1(X0,length1(sF13,sF26)),0) )
    | spl27_2
    | ~ spl27_8
    | ~ spl27_23
    | ~ spl27_27
    | ~ spl27_34
    | ~ spl27_63
    | ~ spl27_65
    | ~ spl27_71 ),
    inference(evaluation,[],[f34510]) ).

tff(f34510,plain,
    ( ! [X0: key1,X1: uni] :
        ( mem(sF12,tuple21(key,a,t2tb1(X0),X1),sF21)
        | ~ $less(0,1)
        | $less(bucket1(X0,length1(sF13,sF26)),0)
        | ~ in_data1(a,X0,X1,sF26) )
    | spl27_2
    | ~ spl27_8
    | ~ spl27_23
    | ~ spl27_27
    | ~ spl27_34
    | ~ spl27_63
    | ~ spl27_65
    | ~ spl27_71 ),
    inference(forward_demodulation,[],[f34509,f790]) ).

tff(f34509,plain,
    ( ! [X0: key1,X1: uni] :
        ( ~ in_data1(a,X0,X1,sF26)
        | ~ $less(bucket1(X0,1),1)
        | $less(bucket1(X0,length1(sF13,sF26)),0)
        | mem(sF12,tuple21(key,a,t2tb1(X0),X1),sF21) )
    | spl27_2
    | ~ spl27_8
    | ~ spl27_23
    | ~ spl27_27
    | ~ spl27_34
    | ~ spl27_63
    | ~ spl27_65
    | ~ spl27_71 ),
    inference(forward_demodulation,[],[f34504,f2769]) ).

tff(f34504,plain,
    ( ! [X0: key1,X1: uni] :
        ( ~ $less(bucket1(X0,length1(sF13,sF26)),1)
        | ~ in_data1(a,X0,X1,sF26)
        | mem(sF12,tuple21(key,a,t2tb1(X0),X1),sF21)
        | $less(bucket1(X0,length1(sF13,sF26)),0) )
    | spl27_2
    | ~ spl27_8
    | ~ spl27_23
    | ~ spl27_27
    | ~ spl27_34
    | ~ spl27_63
    | ~ spl27_71 ),
    inference(superposition,[],[f3417,f33583]) ).

tff(f33583,plain,
    ( ! [X0: $int] :
        ( ( get2(sF13,sF26,X0) = sF21 )
        | $less(X0,0)
        | ~ $less(X0,1) )
    | spl27_2
    | ~ spl27_23
    | ~ spl27_34
    | ~ spl27_63
    | ~ spl27_71 ),
    inference(backward_demodulation,[],[f4105,f33549]) ).

tff(f33549,plain,
    ( ( 1 = sK3 )
    | ~ spl27_34
    | ~ spl27_63 ),
    inference(backward_demodulation,[],[f641,f2761]) ).

tff(f2761,plain,
    ( ( 1 = sF16 )
    | ~ spl27_63 ),
    inference(avatar_component_clause,[],[f2760]) ).

tff(f2760,plain,
    ( spl27_63
  <=> ( 1 = sF16 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl27_63])]) ).

tff(f34312,plain,
    ( spl27_174
    | ~ spl27_34
    | ~ spl27_63
    | ~ spl27_104 ),
    inference(avatar_split_clause,[],[f33645,f6597,f2760,f640,f34310]) ).

tff(f34310,plain,
    ( spl27_174
  <=> $less($uminus($sum(1,abs1(abs1(1)))),1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl27_174])]) ).

tff(f6597,plain,
    ( spl27_104
  <=> $less($uminus($sum(1,abs1(abs1(sK3)))),sK3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl27_104])]) ).

tff(f33645,plain,
    ( $less($uminus($sum(1,abs1(abs1(1)))),1)
    | ~ spl27_34
    | ~ spl27_63
    | ~ spl27_104 ),
    inference(backward_demodulation,[],[f6598,f33549]) ).

tff(f6598,plain,
    ( $less($uminus($sum(1,abs1(abs1(sK3)))),sK3)
    | ~ spl27_104 ),
    inference(avatar_component_clause,[],[f6597]) ).

tff(f34105,plain,
    ( spl27_173
    | ~ spl27_34
    | ~ spl27_63
    | ~ spl27_96 ),
    inference(avatar_split_clause,[],[f33616,f5054,f2760,f640,f34103]) ).

tff(f34103,plain,
    ( spl27_173
  <=> $less($uminus(abs1($sum(1,abs1(1)))),1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl27_173])]) ).

tff(f5054,plain,
    ( spl27_96
  <=> $less($uminus(abs1($sum(1,abs1(sK3)))),sK3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl27_96])]) ).

tff(f33616,plain,
    ( $less($uminus(abs1($sum(1,abs1(1)))),1)
    | ~ spl27_34
    | ~ spl27_63
    | ~ spl27_96 ),
    inference(backward_demodulation,[],[f5055,f33549]) ).

tff(f5055,plain,
    ( $less($uminus(abs1($sum(1,abs1(sK3)))),sK3)
    | ~ spl27_96 ),
    inference(avatar_component_clause,[],[f5054]) ).

tff(f34101,plain,
    ( ~ spl27_172
    | ~ spl27_35 ),
    inference(avatar_split_clause,[],[f34024,f654,f34099]) ).

tff(f34024,plain,
    ( ~ $less(0,sK8)
    | ~ spl27_35 ),
    inference(subsumption_resolution,[],[f34020,f422]) ).

tff(f34020,plain,
    ( ! [X7: key1] :
        ( ~ $less(0,sK8)
        | $less(bucket1(X7,sK8),0) )
    | ~ spl27_35 ),
    inference(resolution,[],[f33992,f421]) ).

tff(f33992,plain,
    ( ! [X1: $int] :
        ( ~ $less(X1,sK8)
        | $less(X1,0) )
    | ~ spl27_35 ),
    inference(resolution,[],[f33920,f132]) ).

tff(f33920,plain,
    ( $less(sK8,0)
    | ~ spl27_35 ),
    inference(avatar_component_clause,[],[f654]) ).

tff(f34006,plain,
    ( spl27_171
    | ~ spl27_35
    | ~ spl27_80 ),
    inference(avatar_split_clause,[],[f33990,f3623,f654,f34004]) ).

tff(f34004,plain,
    ( spl27_171
  <=> $less(sK8,2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl27_171])]) ).

tff(f33990,plain,
    ( $less(sK8,2)
    | ~ spl27_35
    | ~ spl27_80 ),
    inference(resolution,[],[f33920,f3661]) ).

tff(f33921,plain,
    ( spl27_35
    | spl27_165
    | ~ spl27_164 ),
    inference(avatar_split_clause,[],[f33729,f33726,f33738,f654]) ).

tff(f33729,plain,
    ( ( 0 = sK8 )
    | $less(sK8,0)
    | ~ spl27_164 ),
    inference(resolution,[],[f33727,f1406]) ).

tff(f1406,plain,
    ! [X0: $int] :
      ( ~ $less(X0,1)
      | $less(X0,0)
      | ( 0 = X0 ) ),
    inference(superposition,[],[f350,f312]) ).

tff(f312,plain,
    ! [X0: $int] : ( div1(X0,1) = X0 ),
    inference(cnf_transformation,[],[f235]) ).

tff(f235,plain,
    ! [X0: $int] : ( div1(X0,1) = X0 ),
    inference(rectify,[],[f20]) ).

tff(f20,axiom,
    ! [X1: $int] : ( div1(X1,1) = X1 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',div_1) ).

tff(f350,plain,
    ! [X0: $int,X1: $int] :
      ( ( 0 = div1(X1,X0) )
      | $less(X1,0)
      | ~ $less(X1,X0) ),
    inference(cnf_transformation,[],[f262]) ).

tff(f262,plain,
    ! [X0: $int,X1: $int] :
      ( ~ $less(X1,X0)
      | $less(X1,0)
      | ( 0 = div1(X1,X0) ) ),
    inference(flattening,[],[f261]) ).

tff(f261,plain,
    ! [X0: $int,X1: $int] :
      ( ( 0 = div1(X1,X0) )
      | ~ $less(X1,X0)
      | $less(X1,0) ),
    inference(ennf_transformation,[],[f220]) ).

tff(f220,plain,
    ! [X0: $int,X1: $int] :
      ( ( $less(X1,X0)
        & ~ $less(X1,0) )
     => ( 0 = div1(X1,X0) ) ),
    inference(rectify,[],[f120]) ).

tff(f120,plain,
    ! [X7: $int,X1: $int] :
      ( ( ~ $less(X1,0)
        & $less(X1,X7) )
     => ( 0 = div1(X1,X7) ) ),
    inference(theory_normalization,[],[f22]) ).

tff(f22,axiom,
    ! [X7: $int,X1: $int] :
      ( ( $lesseq(0,X1)
        & $less(X1,X7) )
     => ( 0 = div1(X1,X7) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',div_inf) ).

tff(f33727,plain,
    ( $less(sK8,1)
    | ~ spl27_164 ),
    inference(avatar_component_clause,[],[f33726]) ).

tff(f33862,plain,
    ( spl27_169
    | ~ spl27_34
    | ~ spl27_63
    | ~ spl27_121 ),
    inference(avatar_split_clause,[],[f33663,f13669,f2760,f640,f33855]) ).

tff(f33855,plain,
    ( spl27_169
  <=> $less($uminus($sum(1,abs1(1))),1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl27_169])]) ).

tff(f13669,plain,
    ( spl27_121
  <=> $less($uminus($sum(sK3,abs1(1))),sK3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl27_121])]) ).

tff(f33663,plain,
    ( $less($uminus($sum(1,abs1(1))),1)
    | ~ spl27_34
    | ~ spl27_63
    | ~ spl27_121 ),
    inference(backward_demodulation,[],[f13670,f33549]) ).

tff(f13670,plain,
    ( $less($uminus($sum(sK3,abs1(1))),sK3)
    | ~ spl27_121 ),
    inference(avatar_component_clause,[],[f13669]) ).

tff(f33861,plain,
    ( spl27_170
    | ~ spl27_34
    | ~ spl27_63
    | ~ spl27_103 ),
    inference(avatar_split_clause,[],[f33644,f6336,f2760,f640,f33859]) ).

tff(f33859,plain,
    ( spl27_170
  <=> $less($sum(-1,$uminus(abs1(1))),1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl27_170])]) ).

tff(f6336,plain,
    ( spl27_103
  <=> $less($sum(-1,$uminus(abs1(sK3))),sK3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl27_103])]) ).

tff(f33644,plain,
    ( $less($sum(-1,$uminus(abs1(1))),1)
    | ~ spl27_34
    | ~ spl27_63
    | ~ spl27_103 ),
    inference(backward_demodulation,[],[f6337,f33549]) ).

tff(f6337,plain,
    ( $less($sum(-1,$uminus(abs1(sK3))),sK3)
    | ~ spl27_103 ),
    inference(avatar_component_clause,[],[f6336]) ).

tff(f33857,plain,
    ( spl27_169
    | ~ spl27_34
    | ~ spl27_63
    | ~ spl27_93 ),
    inference(avatar_split_clause,[],[f33613,f4819,f2760,f640,f33855]) ).

tff(f4819,plain,
    ( spl27_93
  <=> $less($uminus($sum(1,abs1(sK3))),sK3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl27_93])]) ).

tff(f33613,plain,
    ( $less($uminus($sum(1,abs1(1))),1)
    | ~ spl27_34
    | ~ spl27_63
    | ~ spl27_93 ),
    inference(backward_demodulation,[],[f4820,f33549]) ).

tff(f4820,plain,
    ( $less($uminus($sum(1,abs1(sK3))),sK3)
    | ~ spl27_93 ),
    inference(avatar_component_clause,[],[f4819]) ).

tff(f33816,plain,
    ( ~ spl27_61
    | ~ spl27_3
    | ~ spl27_48 ),
    inference(avatar_split_clause,[],[f33762,f908,f469,f2444]) ).

tff(f2444,plain,
    ( spl27_61
  <=> $less(abs1(0),-1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl27_61])]) ).

tff(f908,plain,
    ( spl27_48
  <=> ( 1 = sK3 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl27_48])]) ).

tff(f33762,plain,
    ( ~ $less(abs1(0),-1)
    | ~ spl27_3
    | ~ spl27_48 ),
    inference(evaluation,[],[f33761]) ).

tff(f33761,plain,
    ( $less(1,1)
    | ~ $less(abs1(0),-1)
    | ~ spl27_3
    | ~ spl27_48 ),
    inference(forward_demodulation,[],[f25068,f909]) ).

tff(f909,plain,
    ( ( 1 = sK3 )
    | ~ spl27_48 ),
    inference(avatar_component_clause,[],[f908]) ).

tff(f25068,plain,
    ( ~ $less(abs1(0),-1)
    | $less(1,sK3)
    | ~ spl27_3 ),
    inference(resolution,[],[f8122,f143]) ).

tff(f8122,plain,
    ( ! [X8: $int] :
        ( $less(-1,$sum(abs1(0),X8))
        | $less(X8,sK3) )
    | ~ spl27_3 ),
    inference(evaluation,[],[f8102]) ).

tff(f8102,plain,
    ( ! [X8: $int] :
        ( $less($uminus(1),$sum(abs1(0),X8))
        | $less(X8,sK3) )
    | ~ spl27_3 ),
    inference(superposition,[],[f4674,f130]) ).

tff(f4674,plain,
    ( ! [X8: $int,X9: $int] :
        ( $less(X9,$sum(abs1($sum(1,X9)),X8))
        | $less(X8,sK3) )
    | ~ spl27_3 ),
    inference(resolution,[],[f4586,f725]) ).

tff(f725,plain,
    ! [X0: $int,X1: $int] :
      ( $less(X1,$sum(1,X0))
      | $less(X0,X1) ),
    inference(superposition,[],[f135,f126]) ).

tff(f4586,plain,
    ( ! [X6: $int,X5: $int] :
        ( ~ $less($sum(abs1(X6),X5),X6)
        | $less(X5,sK3) )
    | ~ spl27_3 ),
    inference(resolution,[],[f4578,f412]) ).

tff(f4578,plain,
    ( ! [X10: $int,X11: $int] :
        ( ~ $less($sum(X10,X11),X10)
        | $less(X11,sK3) )
    | ~ spl27_3 ),
    inference(evaluation,[],[f4576]) ).

tff(f4576,plain,
    ( ! [X10: $int,X11: $int] :
        ( $less(X11,sK3)
        | ~ $less($sum($uminus($uminus(X10)),X11),X10) )
    | ~ spl27_3 ),
    inference(superposition,[],[f4531,f1243]) ).

tff(f1243,plain,
    ! [X2: $int,X3: $int] : ( $sum(X2,$sum($uminus(X2),X3)) = X3 ),
    inference(forward_demodulation,[],[f1217,f627]) ).

tff(f1217,plain,
    ! [X2: $int,X3: $int] : ( $sum(X2,$sum($uminus(X2),X3)) = $sum(0,X3) ),
    inference(superposition,[],[f127,f130]) ).

tff(f127,plain,
    ! [X2: $int,X0: $int,X1: $int] : ( $sum($sum(X0,X1),X2) = $sum(X0,$sum(X1,X2)) ),
    introduced(theory_axiom_141,[]) ).

tff(f4531,plain,
    ( ! [X2: $int,X1: $int] :
        ( $less($sum($uminus(X2),X1),sK3)
        | ~ $less(X1,X2) )
    | ~ spl27_3 ),
    inference(superposition,[],[f4487,f126]) ).

tff(f33806,plain,
    ( spl27_168
    | ~ spl27_8
    | ~ spl27_27
    | ~ spl27_34
    | ~ spl27_43
    | ~ spl27_63 ),
    inference(avatar_split_clause,[],[f33801,f2760,f783,f640,f592,f492,f33803]) ).

tff(f33803,plain,
    ( spl27_168
  <=> good_hash1(a,sF15,0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl27_168])]) ).

tff(f783,plain,
    ( spl27_43
  <=> ( sK3 = length1(sF13,sF15) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl27_43])]) ).

tff(f33801,plain,
    ( good_hash1(a,sF15,0)
    | ~ spl27_8
    | ~ spl27_27
    | ~ spl27_34
    | ~ spl27_43
    | ~ spl27_63 ),
    inference(equality_resolution,[],[f33698]) ).

tff(f33698,plain,
    ( ! [X0: $int] :
        ( ( 0 != X0 )
        | good_hash1(a,sF15,X0) )
    | ~ spl27_8
    | ~ spl27_27
    | ~ spl27_34
    | ~ spl27_43
    | ~ spl27_63 ),
    inference(forward_demodulation,[],[f33671,f790]) ).

tff(f33671,plain,
    ( ! [X0: $int] :
        ( good_hash1(a,sF15,X0)
        | ( bucket1(sK0(a,sF15,X0),1) != X0 ) )
    | ~ spl27_8
    | ~ spl27_27
    | ~ spl27_34
    | ~ spl27_43
    | ~ spl27_63 ),
    inference(backward_demodulation,[],[f21957,f33549]) ).

tff(f21957,plain,
    ( ! [X0: $int] :
        ( ( bucket1(sK0(a,sF15,X0),sK3) != X0 )
        | good_hash1(a,sF15,X0) )
    | ~ spl27_8
    | ~ spl27_27
    | ~ spl27_43 ),
    inference(superposition,[],[f3018,f784]) ).

tff(f784,plain,
    ( ( sK3 = length1(sF13,sF15) )
    | ~ spl27_43 ),
    inference(avatar_component_clause,[],[f783]) ).

tff(f3018,plain,
    ( ! [X0: uni,X1: $int] :
        ( ( bucket1(sK0(a,X0,X1),length1(sF13,X0)) != X1 )
        | good_hash1(a,X0,X1) )
    | ~ spl27_8
    | ~ spl27_27 ),
    inference(forward_demodulation,[],[f3016,f493]) ).

tff(f3016,plain,
    ( ! [X0: uni,X1: $int] :
        ( ( bucket1(sK0(a,X0,X1),length1(list(sF12),X0)) != X1 )
        | good_hash1(a,X0,X1) )
    | ~ spl27_27 ),
    inference(superposition,[],[f342,f593]) ).

tff(f342,plain,
    ! [X2: $int,X0: ty,X1: uni] :
      ( ( bucket1(sK0(X0,X1,X2),length1(list(tuple2(key,X0)),X1)) != X2 )
      | good_hash1(X0,X1,X2) ),
    inference(cnf_transformation,[],[f274]) ).

tff(f33805,plain,
    ( spl27_168
    | ~ spl27_8
    | ~ spl27_27
    | ~ spl27_34
    | ~ spl27_43
    | ~ spl27_63 ),
    inference(avatar_split_clause,[],[f33800,f2760,f783,f640,f592,f492,f33803]) ).

tff(f33800,plain,
    ( good_hash1(a,sF15,0)
    | ~ spl27_8
    | ~ spl27_27
    | ~ spl27_34
    | ~ spl27_43
    | ~ spl27_63 ),
    inference(gaussian_variable_elimination,[],[f33698]) ).

tff(f33799,plain,
    ( spl27_167
    | ~ spl27_34
    | ~ spl27_63
    | ~ spl27_120 ),
    inference(avatar_split_clause,[],[f33662,f13577,f2760,f640,f33797]) ).

tff(f13577,plain,
    ( spl27_120
  <=> $less($sum(-1,abs1(-2)),sK3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl27_120])]) ).

tff(f33662,plain,
    ( $less($sum(-1,abs1(-2)),1)
    | ~ spl27_34
    | ~ spl27_63
    | ~ spl27_120 ),
    inference(backward_demodulation,[],[f13578,f33549]) ).

tff(f13578,plain,
    ( $less($sum(-1,abs1(-2)),sK3)
    | ~ spl27_120 ),
    inference(avatar_component_clause,[],[f13577]) ).

tff(f33773,plain,
    ( spl27_166
    | ~ spl27_8
    | ~ spl27_27
    | ~ spl27_34
    | ~ spl27_44
    | ~ spl27_63 ),
    inference(avatar_split_clause,[],[f33746,f2760,f787,f640,f592,f492,f33742]) ).

tff(f33742,plain,
    ( spl27_166
  <=> good_hash1(a,sF26,0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl27_166])]) ).

tff(f33746,plain,
    ( good_hash1(a,sF26,0)
    | ~ spl27_8
    | ~ spl27_27
    | ~ spl27_34
    | ~ spl27_44
    | ~ spl27_63 ),
    inference(gaussian_variable_elimination,[],[f33697]) ).

tff(f33697,plain,
    ( ! [X1: $int] :
        ( ( 0 != X1 )
        | good_hash1(a,sF26,X1) )
    | ~ spl27_8
    | ~ spl27_27
    | ~ spl27_34
    | ~ spl27_44
    | ~ spl27_63 ),
    inference(forward_demodulation,[],[f33672,f790]) ).

tff(f33672,plain,
    ( ! [X1: $int] :
        ( good_hash1(a,sF26,X1)
        | ( bucket1(sK0(a,sF26,X1),1) != X1 ) )
    | ~ spl27_8
    | ~ spl27_27
    | ~ spl27_34
    | ~ spl27_44
    | ~ spl27_63 ),
    inference(backward_demodulation,[],[f21958,f33549]) ).

tff(f21958,plain,
    ( ! [X1: $int] :
        ( ( bucket1(sK0(a,sF26,X1),sK3) != X1 )
        | good_hash1(a,sF26,X1) )
    | ~ spl27_8
    | ~ spl27_27
    | ~ spl27_44 ),
    inference(superposition,[],[f3018,f788]) ).

tff(f33751,plain,
    ( ~ spl27_8
    | ~ spl27_27
    | ~ spl27_34
    | ~ spl27_44
    | ~ spl27_63
    | spl27_166 ),
    inference(avatar_contradiction_clause,[],[f33750]) ).

tff(f33750,plain,
    ( $false
    | ~ spl27_8
    | ~ spl27_27
    | ~ spl27_34
    | ~ spl27_44
    | ~ spl27_63
    | spl27_166 ),
    inference(subsumption_resolution,[],[f33746,f33743]) ).

tff(f33743,plain,
    ( ~ good_hash1(a,sF26,0)
    | spl27_166 ),
    inference(avatar_component_clause,[],[f33742]) ).

tff(f33749,plain,
    ( ~ spl27_8
    | ~ spl27_27
    | ~ spl27_34
    | ~ spl27_44
    | ~ spl27_63
    | spl27_166 ),
    inference(avatar_contradiction_clause,[],[f33748]) ).

tff(f33748,plain,
    ( $false
    | ~ spl27_8
    | ~ spl27_27
    | ~ spl27_34
    | ~ spl27_44
    | ~ spl27_63
    | spl27_166 ),
    inference(subsumption_resolution,[],[f33747,f33743]) ).

tff(f33747,plain,
    ( good_hash1(a,sF26,0)
    | ~ spl27_8
    | ~ spl27_27
    | ~ spl27_34
    | ~ spl27_44
    | ~ spl27_63 ),
    inference(equality_resolution,[],[f33697]) ).

tff(f33744,plain,
    ( ~ spl27_166
    | spl27_35
    | spl27_163
    | ~ spl27_164 ),
    inference(avatar_split_clause,[],[f33735,f33726,f33551,f654,f33742]) ).

tff(f33735,plain,
    ( ~ good_hash1(a,sF26,0)
    | spl27_35
    | spl27_163
    | ~ spl27_164 ),
    inference(backward_demodulation,[],[f33552,f33733]) ).

tff(f33733,plain,
    ( ( 0 = sK8 )
    | spl27_35
    | ~ spl27_164 ),
    inference(subsumption_resolution,[],[f33729,f655]) ).

tff(f33740,plain,
    ( spl27_165
    | spl27_35
    | ~ spl27_164 ),
    inference(avatar_split_clause,[],[f33733,f33726,f654,f33738]) ).

tff(f33728,plain,
    ( spl27_164
    | ~ spl27_19
    | ~ spl27_34
    | ~ spl27_63 ),
    inference(avatar_split_clause,[],[f33566,f2760,f640,f542,f33726]) ).

tff(f33566,plain,
    ( $less(sK8,1)
    | ~ spl27_19
    | ~ spl27_34
    | ~ spl27_63 ),
    inference(backward_demodulation,[],[f543,f33549]) ).

tff(f33693,plain,
    ( spl27_48
    | ~ spl27_34
    | ~ spl27_63 ),
    inference(avatar_split_clause,[],[f33549,f2760,f640,f908]) ).

tff(f33553,plain,
    ( ~ spl27_53
    | ~ spl27_163
    | spl27_2
    | ~ spl27_3
    | ~ spl27_4
    | ~ spl27_34
    | ~ spl27_52 ),
    inference(avatar_split_clause,[],[f33521,f1354,f640,f474,f469,f465,f33551,f1358]) ).

tff(f1358,plain,
    ( spl27_53
  <=> good_data1(a,sK10,sF24,sF19,sF26) ),
    introduced(avatar_definition,[new_symbols(naming,[spl27_53])]) ).

tff(f474,plain,
    ( spl27_4
  <=> ( sK7 = sF20 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl27_4])]) ).

tff(f1354,plain,
    ( spl27_52
  <=> ( sF25 = sF19 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl27_52])]) ).

tff(f33521,plain,
    ( ~ good_hash1(a,sF26,sK8)
    | ~ good_data1(a,sK10,sF24,sF19,sF26)
    | spl27_2
    | ~ spl27_3
    | ~ spl27_4
    | ~ spl27_34
    | ~ spl27_52 ),
    inference(forward_demodulation,[],[f33520,f1355]) ).

tff(f1355,plain,
    ( ( sF25 = sF19 )
    | ~ spl27_52 ),
    inference(avatar_component_clause,[],[f1354]) ).

tff(f33520,plain,
    ( ~ good_data1(a,sK10,sF24,sF25,sF26)
    | ~ good_hash1(a,sF26,sK8)
    | spl27_2
    | ~ spl27_3
    | ~ spl27_4
    | ~ spl27_34 ),
    inference(subsumption_resolution,[],[f33519,f131]) ).

tff(f33519,plain,
    ( ~ good_hash1(a,sF26,sK8)
    | ~ good_data1(a,sK10,sF24,sF25,sF26)
    | $less(sK3,sK3)
    | spl27_2
    | ~ spl27_3
    | ~ spl27_4
    | ~ spl27_34 ),
    inference(forward_demodulation,[],[f648,f641]) ).

tff(f648,plain,
    ( $less(sK3,sF16)
    | ~ good_hash1(a,sF26,sK8)
    | ~ good_data1(a,sK10,sF24,sF25,sF26)
    | spl27_2
    | ~ spl27_3
    | ~ spl27_4 ),
    inference(subsumption_resolution,[],[f647,f475]) ).

tff(f475,plain,
    ( ( sK7 = sF20 )
    | ~ spl27_4 ),
    inference(avatar_component_clause,[],[f474]) ).

tff(f647,plain,
    ( ~ good_hash1(a,sF26,sK8)
    | ( sK7 != sF20 )
    | ~ good_data1(a,sK10,sF24,sF25,sF26)
    | $less(sK3,sF16)
    | spl27_2
    | ~ spl27_3 ),
    inference(subsumption_resolution,[],[f646,f466]) ).

tff(f646,plain,
    ( $less(sK3,0)
    | $less(sK3,sF16)
    | ~ good_hash1(a,sF26,sK8)
    | ( sK7 != sF20 )
    | ~ good_data1(a,sK10,sF24,sF25,sF26)
    | ~ spl27_3 ),
    inference(subsumption_resolution,[],[f459,f470]) ).

tff(f459,plain,
    ( ~ $less(0,sK3)
    | ( sK7 != sF20 )
    | ~ good_hash1(a,sF26,sK8)
    | ~ good_data1(a,sK10,sF24,sF25,sF26)
    | $less(sK3,sF16)
    | $less(sK3,0) ),
    inference(evaluation,[],[f452]) ).

tff(f452,plain,
    ( ( sK7 != sF20 )
    | $less(0,0)
    | ~ good_data1(a,sK10,sF24,sF25,sF26)
    | $less(sK3,0)
    | $less(sK3,sF16)
    | ~ good_hash1(a,sF26,sK8)
    | ~ $less(0,sK3) ),
    inference(definition_folding,[],[f356,f450,f445,f432,f431,f449,f448,f450,f445,f432,f431,f441,f440,f439,f438,f437]) ).

tff(f438,plain,
    option(a) = sF17,
    introduced(function_definition,[]) ).

tff(f439,plain,
    none(a) = sF18,
    introduced(function_definition,[]) ).

tff(f440,plain,
    const(sF17,key,sF18) = sF19,
    introduced(function_definition,[]) ).

tff(f441,plain,
    tb2t3(sF19) = sF20,
    introduced(function_definition,[]) ).

tff(f448,plain,
    t2tb7(sK9) = sF24,
    introduced(function_definition,[]) ).

tff(f449,plain,
    sF25 = t2tb3(sK7),
    introduced(function_definition,[]) ).

tff(f450,plain,
    mk_array1(sF13,sK3,sF23) = sF26,
    introduced(function_definition,[]) ).

tff(f356,plain,
    ( $less(sK3,$sum(0,sK3))
    | $less(0,0)
    | $less(sK3,0)
    | ( tb2t3(const(option(a),key,none(a))) != sK7 )
    | ~ good_hash1(a,mk_array1(list(tuple2(key,a)),sK3,t2tb2(sK6)),sK8)
    | ~ $less(0,sK3)
    | ~ good_data1(a,sK10,t2tb7(sK9),t2tb3(sK7),mk_array1(list(tuple2(key,a)),sK3,t2tb2(sK6))) ),
    inference(cnf_transformation,[],[f268]) ).

tff(f33517,plain,
    ( ~ spl27_11
    | ~ spl27_161 ),
    inference(avatar_contradiction_clause,[],[f33516]) ).

tff(f33516,plain,
    ( $false
    | ~ spl27_11
    | ~ spl27_161 ),
    inference(subsumption_resolution,[],[f33511,f505]) ).

tff(f505,plain,
    ( ( none(a) = sF18 )
    | ~ spl27_11 ),
    inference(avatar_component_clause,[],[f504]) ).

tff(f504,plain,
    ( spl27_11
  <=> ( none(a) = sF18 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl27_11])]) ).

tff(f33511,plain,
    ( ( none(a) != sF18 )
    | ~ spl27_161 ),
    inference(superposition,[],[f396,f33466]) ).

tff(f33466,plain,
    ( ( sF18 = some(a,sF24) )
    | ~ spl27_161 ),
    inference(avatar_component_clause,[],[f33465]) ).

tff(f33465,plain,
    ( spl27_161
  <=> ( sF18 = some(a,sF24) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl27_161])]) ).

tff(f396,plain,
    ! [X0: uni,X1: ty] : ( none(X1) != some(X1,X0) ),
    inference(cnf_transformation,[],[f148]) ).

tff(f148,plain,
    ! [X0: uni,X1: ty] : ( none(X1) != some(X1,X0) ),
    inference(rectify,[],[f31]) ).

tff(f31,axiom,
    ! [X9: uni,X0: ty] : ( none(X0) != some(X0,X9) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',none_Some1) ).

tff(f33470,plain,
    ( spl27_161
    | spl27_162
    | ~ spl27_10
    | ~ spl27_26
    | ~ spl27_32
    | spl27_53 ),
    inference(avatar_split_clause,[],[f33287,f1358,f620,f587,f500,f33468,f33465]) ).

tff(f500,plain,
    ( spl27_10
  <=> ( option(a) = sF17 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl27_10])]) ).

tff(f587,plain,
    ( spl27_26
  <=> sort1(sF17,sF18) ),
    introduced(avatar_definition,[new_symbols(naming,[spl27_26])]) ).

tff(f620,plain,
    ( spl27_32
  <=> ( const(sF17,key,sF18) = sF19 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl27_32])]) ).

tff(f33287,plain,
    ( in_data1(a,sK10,sF24,sF26)
    | ( sF18 = some(a,sF24) )
    | ~ spl27_10
    | ~ spl27_26
    | ~ spl27_32
    | spl27_53 ),
    inference(resolution,[],[f33041,f1359]) ).

tff(f1359,plain,
    ( ~ good_data1(a,sK10,sF24,sF19,sF26)
    | spl27_53 ),
    inference(avatar_component_clause,[],[f1358]) ).

tff(f33041,plain,
    ( ! [X2: uni,X0: key1,X1: uni] :
        ( good_data1(a,X0,X1,sF19,X2)
        | in_data1(a,X0,X1,X2)
        | ( sF18 = some(a,X1) ) )
    | ~ spl27_10
    | ~ spl27_26
    | ~ spl27_32 ),
    inference(superposition,[],[f3286,f2336]) ).

tff(f2336,plain,
    ( ! [X0: uni] : ( get(sF17,key,sF19,X0) = sF18 )
    | ~ spl27_26
    | ~ spl27_32 ),
    inference(subsumption_resolution,[],[f2334,f588]) ).

tff(f588,plain,
    ( sort1(sF17,sF18)
    | ~ spl27_26 ),
    inference(avatar_component_clause,[],[f587]) ).

tff(f2334,plain,
    ( ! [X0: uni] :
        ( ( get(sF17,key,sF19,X0) = sF18 )
        | ~ sort1(sF17,sF18) )
    | ~ spl27_32 ),
    inference(superposition,[],[f343,f621]) ).

tff(f621,plain,
    ( ( const(sF17,key,sF18) = sF19 )
    | ~ spl27_32 ),
    inference(avatar_component_clause,[],[f620]) ).

tff(f343,plain,
    ! [X2: ty,X3: uni,X0: uni,X1: ty] :
      ( ( get(X1,X2,const(X1,X2,X3),X0) = X3 )
      | ~ sort1(X1,X3) ),
    inference(cnf_transformation,[],[f248]) ).

tff(f248,plain,
    ! [X1: ty,X0: uni,X2: ty,X3: uni] :
      ( ( get(X1,X2,const(X1,X2,X3),X0) = X3 )
      | ~ sort1(X1,X3) ),
    inference(ennf_transformation,[],[f162]) ).

tff(f162,plain,
    ! [X3: uni,X2: ty,X0: uni,X1: ty] :
      ( sort1(X1,X3)
     => ( get(X1,X2,const(X1,X2,X3),X0) = X3 ) ),
    inference(rectify,[],[f52]) ).

tff(f52,axiom,
    ! [X8: uni,X12: ty,X0: ty,X15: uni] :
      ( sort1(X12,X15)
     => ( get(X12,X0,const(X12,X0,X15),X8) = X15 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',const) ).

tff(f3286,plain,
    ( ! [X2: uni,X3: uni,X0: uni,X1: key1] :
        ( ( get(sF17,key,X0,t2tb1(X1)) = some(a,X2) )
        | in_data1(a,X1,X2,X3)
        | good_data1(a,X1,X2,X0,X3) )
    | ~ spl27_10 ),
    inference(superposition,[],[f303,f501]) ).

tff(f501,plain,
    ( ( option(a) = sF17 )
    | ~ spl27_10 ),
    inference(avatar_component_clause,[],[f500]) ).

tff(f303,plain,
    ! [X2: ty,X3: uni,X0: uni,X1: uni,X4: key1] :
      ( ( get(option(X2),key,X3,t2tb1(X4)) = some(X2,X0) )
      | good_data1(X2,X4,X0,X3,X1)
      | in_data1(X2,X4,X0,X1) ),
    inference(cnf_transformation,[],[f172]) ).

tff(f172,plain,
    ! [X1: uni,X2: ty,X0: uni,X3: uni,X4: key1] :
      ( good_data1(X2,X4,X0,X3,X1)
    <=> ( ( get(option(X2),key,X3,t2tb1(X4)) = some(X2,X0) )
      <=> in_data1(X2,X4,X0,X1) ) ),
    inference(rectify,[],[f80]) ).

tff(f80,axiom,
    ! [X9: uni,X20: uni,X0: ty,X13: uni,X19: key1] :
      ( ( in_data1(X0,X19,X9,X20)
      <=> ( some(X0,X9) = get(option(X0),key,X13,t2tb1(X19)) ) )
    <=> good_data1(X0,X19,X9,X13,X20) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',good_data_def) ).

tff(f33460,plain,
    ( ~ spl27_160
    | ~ spl27_80
    | spl27_153
    | ~ spl27_155 ),
    inference(avatar_split_clause,[],[f33104,f29303,f28816,f3623,f33458]) ).

tff(f33458,plain,
    ( spl27_160
  <=> $less($sum(1,abs1(1)),-1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl27_160])]) ).

tff(f28816,plain,
    ( spl27_153
  <=> $less(0,abs1(0)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl27_153])]) ).

tff(f29303,plain,
    ( spl27_155
  <=> ( 0 = abs1(0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl27_155])]) ).

tff(f33104,plain,
    ( ~ $less($sum(1,abs1(1)),-1)
    | ~ spl27_80
    | spl27_153
    | ~ spl27_155 ),
    inference(resolution,[],[f32562,f3624]) ).

tff(f32562,plain,
    ( ! [X3: $int] :
        ( ~ $less(0,X3)
        | ~ $less(X3,-1) )
    | spl27_153
    | ~ spl27_155 ),
    inference(resolution,[],[f32251,f29635]) ).

tff(f29635,plain,
    ( ! [X4: $int] :
        ( $less($uminus(X4),0)
        | ~ $less(0,X4) )
    | ~ spl27_155 ),
    inference(superposition,[],[f816,f29304]) ).

tff(f29304,plain,
    ( ( 0 = abs1(0) )
    | ~ spl27_155 ),
    inference(avatar_component_clause,[],[f29303]) ).

tff(f816,plain,
    ! [X0: $int,X1: $int] :
      ( $less($uminus(X0),abs1(X1))
      | ~ $less(X1,X0) ),
    inference(superposition,[],[f413,f136]) ).

tff(f413,plain,
    ! [X0: $int,X1: $int] :
      ( ~ $less(X1,$uminus(X0))
      | $less(X0,abs1(X1)) ),
    inference(cnf_transformation,[],[f176]) ).

tff(f32251,plain,
    ( ! [X7: $int] :
        ( ~ $less($uminus(X7),0)
        | ~ $less(X7,-1) )
    | spl27_153 ),
    inference(resolution,[],[f30880,f29715]) ).

tff(f29715,plain,
    ( ! [X10: $int,X11: $int] :
        ( ~ $less($sum(X10,$uminus(X11)),0)
        | ~ $less(X11,X10) )
    | spl27_153 ),
    inference(resolution,[],[f29225,f1036]) ).

tff(f1036,plain,
    ! [X2: $int,X3: $int] :
      ( $less(0,$sum(X3,$uminus(X2)))
      | ~ $less(X2,X3) ),
    inference(superposition,[],[f134,f130]) ).

tff(f29225,plain,
    ( ! [X0: $int] :
        ( ~ $less(0,X0)
        | ~ $less(X0,0) )
    | spl27_153 ),
    inference(resolution,[],[f28817,f865]) ).

tff(f865,plain,
    ! [X2: $int,X0: $int,X1: $int] :
      ( $less(X0,abs1(X1))
      | ~ $less(X2,X1)
      | ~ $less(X0,X2) ),
    inference(resolution,[],[f132,f412]) ).

tff(f28817,plain,
    ( ~ $less(0,abs1(0))
    | spl27_153 ),
    inference(avatar_component_clause,[],[f28816]) ).

tff(f30880,plain,
    ( ! [X4: $int] :
        ( $less($sum(-1,X4),0)
        | ~ $less(X4,0) )
    | spl27_153 ),
    inference(evaluation,[],[f30876]) ).

tff(f30876,plain,
    ( ! [X4: $int] :
        ( $less($sum($uminus(1),X4),0)
        | ~ $less(X4,0) )
    | spl27_153 ),
    inference(superposition,[],[f29737,f1243]) ).

tff(f29737,plain,
    ( ! [X29: $int] :
        ( ~ $less($sum(1,X29),0)
        | $less(X29,0) )
    | spl27_153 ),
    inference(resolution,[],[f29225,f725]) ).

tff(f33360,plain,
    ( ~ spl27_159
    | ~ spl27_3
    | spl27_153
    | ~ spl27_155 ),
    inference(avatar_split_clause,[],[f33111,f29303,f28816,f469,f33358]) ).

tff(f33358,plain,
    ( spl27_159
  <=> $less(sK3,-1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl27_159])]) ).

tff(f33111,plain,
    ( ~ $less(sK3,-1)
    | ~ spl27_3
    | spl27_153
    | ~ spl27_155 ),
    inference(resolution,[],[f32562,f470]) ).

tff(f30865,plain,
    ( spl27_157
    | spl27_158
    | ~ spl27_41
    | ~ spl27_47
    | ~ spl27_80
    | ~ spl27_82 ),
    inference(avatar_split_clause,[],[f29674,f3634,f3623,f905,f773,f30863,f30860]) ).

tff(f30860,plain,
    ( spl27_157
  <=> ! [X5: $int] :
        ( $less(0,X5)
        | $less(X5,sK3) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl27_157])]) ).

tff(f30863,plain,
    ( spl27_158
  <=> $less($uminus(abs1(1)),1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl27_158])]) ).

tff(f773,plain,
    ( spl27_41
  <=> $less(0,abs1(1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl27_41])]) ).

tff(f29674,plain,
    ( ! [X5: $int] :
        ( $less($uminus(abs1(1)),1)
        | $less(0,X5)
        | $less(X5,sK3) )
    | ~ spl27_41
    | ~ spl27_47
    | ~ spl27_80
    | ~ spl27_82 ),
    inference(resolution,[],[f26143,f727]) ).

tff(f26143,plain,
    ( ! [X2: $int,X3: $int] :
        ( ~ $less(X3,$uminus(abs1(1)))
        | $less(X2,sK3)
        | $less(X3,X2) )
    | ~ spl27_41
    | ~ spl27_47
    | ~ spl27_80
    | ~ spl27_82 ),
    inference(resolution,[],[f25919,f132]) ).

tff(f25919,plain,
    ( ! [X15: $int] :
        ( $less($uminus(abs1(1)),X15)
        | $less(X15,sK3) )
    | ~ spl27_41
    | ~ spl27_47
    | ~ spl27_80
    | ~ spl27_82 ),
    inference(resolution,[],[f25863,f3635]) ).

tff(f25863,plain,
    ( ! [X3: $int,X4: $int] :
        ( ~ $less(X4,0)
        | $less(X3,sK3)
        | $less(X4,X3) )
    | ~ spl27_41
    | ~ spl27_47
    | ~ spl27_80 ),
    inference(resolution,[],[f25793,f135]) ).

tff(f25793,plain,
    ( ! [X2: $int,X3: $int] :
        ( ~ $less(X3,$sum(X2,1))
        | $less(X3,sK3)
        | ~ $less(X2,0) )
    | ~ spl27_41
    | ~ spl27_47
    | ~ spl27_80 ),
    inference(resolution,[],[f25786,f132]) ).

tff(f25786,plain,
    ( ! [X0: $int] :
        ( $less($sum(X0,1),sK3)
        | ~ $less(X0,0) )
    | ~ spl27_41
    | ~ spl27_47
    | ~ spl27_80 ),
    inference(forward_demodulation,[],[f25775,f790]) ).

tff(f25775,plain,
    ( ! [X0: $int,X1: key1] :
        ( ~ $less(X0,bucket1(X1,1))
        | $less($sum(X0,1),sK3) )
    | ~ spl27_41
    | ~ spl27_47
    | ~ spl27_80 ),
    inference(evaluation,[],[f25768]) ).

tff(f25768,plain,
    ( ! [X0: $int,X1: key1] :
        ( ~ $less(X0,bucket1(X1,1))
        | $less(1,0)
        | $less($sum(X0,1),sK3) )
    | ~ spl27_41
    | ~ spl27_47
    | ~ spl27_80 ),
    inference(superposition,[],[f25632,f377]) ).

tff(f25632,plain,
    ( ! [X0: key1,X1: $int] :
        ( ~ $less(X1,bucket1(X0,abs1(1)))
        | $less($sum(X1,1),sK3) )
    | ~ spl27_41
    | ~ spl27_47
    | ~ spl27_80 ),
    inference(duplicate_literal_removal,[],[f25599]) ).

tff(f25599,plain,
    ( ! [X0: key1,X1: $int] :
        ( $less($sum(X1,1),sK3)
        | ~ $less(X1,bucket1(X0,abs1(1)))
        | $less($sum(X1,1),sK3) )
    | ~ spl27_41
    | ~ spl27_47
    | ~ spl27_80 ),
    inference(superposition,[],[f23689,f23746]) ).

tff(f23746,plain,
    ( ! [X18: key1,X17: $int] :
        ( ( $sum(X17,1) = bucket1(X18,abs1(1)) )
        | $less($sum(X17,1),sK3)
        | ~ $less(X17,bucket1(X18,abs1(1))) )
    | ~ spl27_41
    | ~ spl27_47
    | ~ spl27_80 ),
    inference(resolution,[],[f23729,f886]) ).

tff(f886,plain,
    ! [X8: $int,X7: $int] :
      ( $less($sum(X7,1),X8)
      | ~ $less(X7,X8)
      | ( $sum(X7,1) = X8 ) ),
    inference(resolution,[],[f133,f143]) ).

tff(f23729,plain,
    ( ! [X2: $int,X3: key1] :
        ( ~ $less(X2,bucket1(X3,abs1(1)))
        | $less(X2,sK3) )
    | ~ spl27_41
    | ~ spl27_47
    | ~ spl27_80 ),
    inference(resolution,[],[f23689,f132]) ).

tff(f23689,plain,
    ( ! [X15: key1] : $less(bucket1(X15,abs1(1)),sK3)
    | ~ spl27_41
    | ~ spl27_47
    | ~ spl27_80 ),
    inference(subsumption_resolution,[],[f23688,f3746]) ).

tff(f3746,plain,
    ( ! [X0: $int] :
        ( ~ $less(X0,1)
        | $less(X0,sK3) )
    | ~ spl27_47 ),
    inference(resolution,[],[f906,f132]) ).

tff(f906,plain,
    ( $less(1,sK3)
    | ~ spl27_47 ),
    inference(avatar_component_clause,[],[f905]) ).

tff(f23688,plain,
    ( ! [X15: key1] :
        ( $less(bucket1(X15,abs1(1)),sK3)
        | $less(bucket1(X15,abs1(1)),1) )
    | ~ spl27_41
    | ~ spl27_47
    | ~ spl27_80 ),
    inference(subsumption_resolution,[],[f23669,f774]) ).

tff(f774,plain,
    ( $less(0,abs1(1))
    | ~ spl27_41 ),
    inference(avatar_component_clause,[],[f773]) ).

tff(f23669,plain,
    ( ! [X15: key1] :
        ( $less(bucket1(X15,abs1(1)),1)
        | $less(bucket1(X15,abs1(1)),sK3)
        | ~ $less(0,abs1(1)) )
    | ~ spl27_47
    | ~ spl27_80 ),
    inference(resolution,[],[f1490,f4503]) ).

tff(f4503,plain,
    ( ! [X0: $int] :
        ( ~ $less(1,$uminus(X0))
        | $less(X0,sK3) )
    | ~ spl27_47
    | ~ spl27_80 ),
    inference(superposition,[],[f4482,f136]) ).

tff(f4482,plain,
    ( ! [X0: $int] :
        ( $less($uminus(X0),sK3)
        | ~ $less(1,X0) )
    | ~ spl27_47
    | ~ spl27_80 ),
    inference(resolution,[],[f1043,f4243]) ).

tff(f4243,plain,
    ( ! [X2: $int] :
        ( ~ $less($sum(1,X2),0)
        | $less(X2,sK3) )
    | ~ spl27_47
    | ~ spl27_80 ),
    inference(evaluation,[],[f4242]) ).

tff(f4242,plain,
    ( ! [X2: $int] :
        ( $less(X2,sK3)
        | ~ $less($sum($uminus(-1),X2),0) )
    | ~ spl27_47
    | ~ spl27_80 ),
    inference(superposition,[],[f4229,f1243]) ).

tff(f4229,plain,
    ( ! [X1: $int] :
        ( $less($sum(-1,X1),sK3)
        | ~ $less(X1,0) )
    | ~ spl27_47
    | ~ spl27_80 ),
    inference(resolution,[],[f4211,f3746]) ).

tff(f4211,plain,
    ( ! [X30: $int] :
        ( $less($sum(-1,X30),1)
        | ~ $less(X30,0) )
    | ~ spl27_80 ),
    inference(evaluation,[],[f4209]) ).

tff(f4209,plain,
    ( ! [X30: $int] :
        ( $less($sum($uminus(1),X30),1)
        | ~ $less(X30,0) )
    | ~ spl27_80 ),
    inference(superposition,[],[f4047,f1243]) ).

tff(f4047,plain,
    ( ! [X2: $int] :
        ( ~ $less($sum(1,X2),0)
        | $less(X2,1) )
    | ~ spl27_80 ),
    inference(resolution,[],[f4038,f725]) ).

tff(f4038,plain,
    ( ! [X0: $int] :
        ( ~ $less(1,X0)
        | ~ $less(X0,0) )
    | ~ spl27_80 ),
    inference(evaluation,[],[f4037]) ).

tff(f4037,plain,
    ( ! [X0: $int] :
        ( ~ $less(1,X0)
        | $less(1,0)
        | ~ $less(X0,0) )
    | ~ spl27_80 ),
    inference(superposition,[],[f4016,f377]) ).

tff(f4016,plain,
    ( ! [X0: $int] :
        ( ~ $less(abs1(1),X0)
        | ~ $less(X0,0) )
    | ~ spl27_80 ),
    inference(resolution,[],[f3631,f738]) ).

tff(f738,plain,
    ! [X0: $int,X1: $int] :
      ( ~ $less(X1,$sum(1,X0))
      | ~ $less(X0,X1) ),
    inference(superposition,[],[f143,f126]) ).

tff(f1490,plain,
    ! [X21: key1,X22: $int] :
      ( $less(X22,$uminus(bucket1(X21,abs1(X22))))
      | $less(bucket1(X21,abs1(X22)),X22)
      | ~ $less(0,abs1(X22)) ),
    inference(resolution,[],[f414,f421]) ).

tff(f414,plain,
    ! [X0: $int,X1: $int] :
      ( ~ $less(X0,abs1(X1))
      | $less(X0,X1)
      | $less(X1,$uminus(X0)) ),
    inference(cnf_transformation,[],[f176]) ).

tff(f29523,plain,
    ( spl27_155
    | spl27_153 ),
    inference(avatar_split_clause,[],[f29229,f28816,f29303]) ).

tff(f29229,plain,
    ( ( 0 = abs1(0) )
    | spl27_153 ),
    inference(subsumption_resolution,[],[f29227,f395]) ).

tff(f395,plain,
    ! [X0: $int] : ~ $less(abs1(X0),0),
    inference(cnf_transformation,[],[f144]) ).

tff(f144,plain,
    ! [X0: $int] : ~ $less(abs1(X0),0),
    inference(rectify,[],[f109]) ).

tff(f109,plain,
    ! [X1: $int] : ~ $less(abs1(X1),0),
    inference(theory_normalization,[],[f11]) ).

tff(f11,axiom,
    ! [X1: $int] : $lesseq(0,abs1(X1)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',abs_pos) ).

tff(f29227,plain,
    ( $less(abs1(0),0)
    | ( 0 = abs1(0) )
    | spl27_153 ),
    inference(resolution,[],[f28817,f133]) ).

tff(f29312,plain,
    ( spl27_156
    | spl27_153 ),
    inference(avatar_split_clause,[],[f29224,f28816,f29310]) ).

tff(f29310,plain,
    ( spl27_156
  <=> $less(abs1(0),1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl27_156])]) ).

tff(f29224,plain,
    ( $less(abs1(0),1)
    | spl27_153 ),
    inference(resolution,[],[f28817,f727]) ).

tff(f29305,plain,
    ( spl27_155
    | spl27_153 ),
    inference(avatar_split_clause,[],[f29220,f28816,f29303]) ).

tff(f29220,plain,
    ( ( 0 = abs1(0) )
    | spl27_153 ),
    inference(resolution,[],[f28817,f888]) ).

tff(f888,plain,
    ! [X10: $int] :
      ( $less(0,abs1(X10))
      | ( 0 = abs1(X10) ) ),
    inference(resolution,[],[f133,f395]) ).

tff(f28821,plain,
    ( ~ spl27_153
    | spl27_154
    | ~ spl27_3 ),
    inference(avatar_split_clause,[],[f23687,f469,f28819,f28816]) ).

tff(f28819,plain,
    ( spl27_154
  <=> ! [X8: key1] : $less(bucket1(X8,abs1(0)),sK3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl27_154])]) ).

tff(f23687,plain,
    ( ! [X8: key1] :
        ( $less(bucket1(X8,abs1(0)),sK3)
        | ~ $less(0,abs1(0)) )
    | ~ spl27_3 ),
    inference(subsumption_resolution,[],[f23662,f872]) ).

tff(f23662,plain,
    ( ! [X8: key1] :
        ( $less(bucket1(X8,abs1(0)),0)
        | ~ $less(0,abs1(0))
        | $less(bucket1(X8,abs1(0)),sK3) )
    | ~ spl27_3 ),
    inference(resolution,[],[f1490,f4539]) ).

tff(f27253,plain,
    ( spl27_152
    | ~ spl27_41
    | ~ spl27_47
    | ~ spl27_80
    | ~ spl27_82 ),
    inference(avatar_split_clause,[],[f26323,f3634,f3623,f905,f773,f27251]) ).

tff(f27251,plain,
    ( spl27_152
  <=> $less($uminus(abs1(abs1(abs1(abs1($uminus(abs1(1))))))),sK3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl27_152])]) ).

tff(f26323,plain,
    ( $less($uminus(abs1(abs1(abs1(abs1($uminus(abs1(1))))))),sK3)
    | ~ spl27_41
    | ~ spl27_47
    | ~ spl27_80
    | ~ spl27_82 ),
    inference(resolution,[],[f26154,f719]) ).

tff(f26154,plain,
    ( ! [X11: $int] :
        ( $less(X11,abs1($uminus(abs1(1))))
        | $less($uminus(X11),sK3) )
    | ~ spl27_41
    | ~ spl27_47
    | ~ spl27_80
    | ~ spl27_82 ),
    inference(resolution,[],[f25919,f413]) ).

tff(f26629,plain,
    ( spl27_151
    | ~ spl27_41
    | ~ spl27_47
    | ~ spl27_80
    | ~ spl27_82 ),
    inference(avatar_split_clause,[],[f26321,f3634,f3623,f905,f773,f26627]) ).

tff(f26627,plain,
    ( spl27_151
  <=> $less($uminus(abs1(abs1(abs1($uminus(abs1(1)))))),sK3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl27_151])]) ).

tff(f26321,plain,
    ( $less($uminus(abs1(abs1(abs1($uminus(abs1(1)))))),sK3)
    | ~ spl27_41
    | ~ spl27_47
    | ~ spl27_80
    | ~ spl27_82 ),
    inference(resolution,[],[f26154,f711]) ).

tff(f26565,plain,
    ( spl27_150
    | ~ spl27_41
    | ~ spl27_47
    | ~ spl27_80
    | ~ spl27_82 ),
    inference(avatar_split_clause,[],[f26319,f3634,f3623,f905,f773,f26563]) ).

tff(f26563,plain,
    ( spl27_150
  <=> $less($uminus(abs1(abs1($uminus(abs1(1))))),sK3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl27_150])]) ).

tff(f26319,plain,
    ( $less($uminus(abs1(abs1($uminus(abs1(1))))),sK3)
    | ~ spl27_41
    | ~ spl27_47
    | ~ spl27_80
    | ~ spl27_82 ),
    inference(resolution,[],[f26154,f709]) ).

tff(f26561,plain,
    ( spl27_149
    | ~ spl27_41
    | ~ spl27_47
    | ~ spl27_80
    | ~ spl27_82 ),
    inference(avatar_split_clause,[],[f26314,f3634,f3623,f905,f773,f26559]) ).

tff(f26559,plain,
    ( spl27_149
  <=> $less($uminus(abs1($uminus(abs1(1)))),sK3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl27_149])]) ).

tff(f26314,plain,
    ( $less($uminus(abs1($uminus(abs1(1)))),sK3)
    | ~ spl27_41
    | ~ spl27_47
    | ~ spl27_80
    | ~ spl27_82 ),
    inference(resolution,[],[f26154,f131]) ).

tff(f25399,plain,
    ( spl27_141
    | spl27_148
    | ~ spl27_41
    | ~ spl27_47
    | ~ spl27_80 ),
    inference(avatar_split_clause,[],[f25388,f3623,f905,f773,f25397,f20704]) ).

tff(f20704,plain,
    ( spl27_141
  <=> ( 0 = sK3 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl27_141])]) ).

tff(f25397,plain,
    ( spl27_148
  <=> ! [X0: $int] :
        ( $less(X0,abs1(0))
        | $less($uminus(X0),sK3) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl27_148])]) ).

tff(f25388,plain,
    ( ! [X0: $int] :
        ( $less(X0,abs1(0))
        | $less($uminus(X0),sK3)
        | ( 0 = sK3 ) )
    | ~ spl27_41
    | ~ spl27_47
    | ~ spl27_80 ),
    inference(backward_subsumption_demodulation,[],[f24986,f25387]) ).

tff(f25387,plain,
    ( ! [X0: $int] :
        ( $less($uminus(X0),sK3)
        | $less(X0,abs1(0))
        | ( 0 = $uminus(X0) ) )
    | ~ spl27_41
    | ~ spl27_47
    | ~ spl27_80 ),
    inference(forward_demodulation,[],[f25386,f790]) ).

tff(f25386,plain,
    ( ! [X0: $int,X1: key1] :
        ( $less(X0,abs1(bucket1(X1,1)))
        | ( 0 = $uminus(X0) )
        | $less($uminus(X0),sK3) )
    | ~ spl27_41
    | ~ spl27_47
    | ~ spl27_80 ),
    inference(forward_demodulation,[],[f25382,f790]) ).

tff(f25382,plain,
    ( ! [X0: $int,X1: key1] :
        ( ( bucket1(X1,1) = $uminus(X0) )
        | $less(X0,abs1(bucket1(X1,1)))
        | $less($uminus(X0),sK3) )
    | ~ spl27_41
    | ~ spl27_47
    | ~ spl27_80 ),
    inference(evaluation,[],[f25379]) ).

tff(f25379,plain,
    ( ! [X0: $int,X1: key1] :
        ( $less($uminus(X0),sK3)
        | $less(1,0)
        | ( bucket1(X1,1) = $uminus(X0) )
        | $less(X0,abs1(bucket1(X1,1))) )
    | ~ spl27_41
    | ~ spl27_47
    | ~ spl27_80 ),
    inference(superposition,[],[f23741,f377]) ).

tff(f23741,plain,
    ( ! [X10: key1,X9: $int] :
        ( $less(X9,abs1(bucket1(X10,abs1(1))))
        | ( $uminus(X9) = bucket1(X10,abs1(1)) )
        | $less($uminus(X9),sK3) )
    | ~ spl27_41
    | ~ spl27_47
    | ~ spl27_80 ),
    inference(resolution,[],[f23729,f885]) ).

tff(f885,plain,
    ! [X6: $int,X5: $int] :
      ( $less($uminus(X5),X6)
      | ( $uminus(X5) = X6 )
      | $less(X5,abs1(X6)) ),
    inference(resolution,[],[f133,f413]) ).

tff(f24986,plain,
    ( ! [X0: $int] :
        ( $less($uminus(X0),sK3)
        | ( $uminus(X0) = sK3 )
        | $less(X0,abs1(0)) )
    | ~ spl27_41
    | ~ spl27_47
    | ~ spl27_80 ),
    inference(forward_demodulation,[],[f24983,f790]) ).

tff(f24983,plain,
    ( ! [X0: $int,X1: key1] :
        ( $less($uminus(X0),sK3)
        | $less(X0,abs1(bucket1(X1,1)))
        | ( $uminus(X0) = sK3 ) )
    | ~ spl27_41
    | ~ spl27_47
    | ~ spl27_80 ),
    inference(evaluation,[],[f24979]) ).

tff(f24979,plain,
    ( ! [X0: $int,X1: key1] :
        ( $less($uminus(X0),sK3)
        | ( $uminus(X0) = sK3 )
        | $less(X0,abs1(bucket1(X1,1)))
        | $less(1,0) )
    | ~ spl27_41
    | ~ spl27_47
    | ~ spl27_80 ),
    inference(superposition,[],[f23933,f377]) ).

tff(f23933,plain,
    ( ! [X18: key1,X17: $int] :
        ( $less(X17,abs1(bucket1(X18,abs1(1))))
        | $less($uminus(X17),sK3)
        | ( $uminus(X17) = sK3 ) )
    | ~ spl27_41
    | ~ spl27_47
    | ~ spl27_80 ),
    inference(resolution,[],[f23728,f413]) ).

tff(f23728,plain,
    ( ! [X0: $int,X1: key1] :
        ( $less(bucket1(X1,abs1(1)),X0)
        | $less(X0,sK3)
        | ( sK3 = X0 ) )
    | ~ spl27_41
    | ~ spl27_47
    | ~ spl27_80 ),
    inference(resolution,[],[f23689,f883]) ).

tff(f883,plain,
    ! [X2: $int,X3: $int,X1: $int] :
      ( ~ $less(X3,X2)
      | ( X1 = X2 )
      | $less(X3,X1)
      | $less(X1,X2) ),
    inference(resolution,[],[f133,f132]) ).

tff(f24402,plain,
    ( spl27_146
    | ~ spl27_147
    | ~ spl27_41
    | ~ spl27_47
    | ~ spl27_80 ),
    inference(avatar_split_clause,[],[f24394,f3623,f905,f773,f24400,f24397]) ).

tff(f24397,plain,
    ( spl27_146
  <=> ! [X7: key1] :
        ( $less(0,hash1(X7))
        | $less(hash1(X7),sK3) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl27_146])]) ).

tff(f24400,plain,
    ( spl27_147
  <=> $less(abs1(-1),1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl27_147])]) ).

tff(f24394,plain,
    ( ! [X7: key1] :
        ( ~ $less(abs1(-1),1)
        | $less(0,hash1(X7))
        | $less(hash1(X7),sK3) )
    | ~ spl27_41
    | ~ spl27_47
    | ~ spl27_80 ),
    inference(evaluation,[],[f24387]) ).

tff(f24387,plain,
    ( ! [X7: key1] :
        ( ~ $less(abs1(-1),1)
        | $less(0,hash1(X7))
        | ~ $less(-1,0)
        | $less(hash1(X7),sK3) )
    | ~ spl27_41
    | ~ spl27_47
    | ~ spl27_80 ),
    inference(superposition,[],[f24293,f798]) ).

tff(f798,plain,
    ! [X1: $int] :
      ( ( 0 = $sum(X1,abs1(X1)) )
      | ~ $less(X1,0) ),
    inference(superposition,[],[f130,f376]) ).

tff(f376,plain,
    ! [X0: $int] :
      ( ( $uminus(X0) = abs1(X0) )
      | ~ $less(X0,0) ),
    inference(cnf_transformation,[],[f259]) ).

tff(f24293,plain,
    ( ! [X10: key1,X9: $int] :
        ( $less($sum(-1,X9),hash1(X10))
        | ~ $less(X9,1)
        | $less(hash1(X10),sK3) )
    | ~ spl27_41
    | ~ spl27_47
    | ~ spl27_80 ),
    inference(evaluation,[],[f24288]) ).

tff(f24288,plain,
    ( ! [X10: key1,X9: $int] :
        ( $less($sum($uminus(1),X9),hash1(X10))
        | $less(hash1(X10),sK3)
        | ~ $less(X9,1) )
    | ~ spl27_41
    | ~ spl27_47
    | ~ spl27_80 ),
    inference(superposition,[],[f23977,f1243]) ).

tff(f23977,plain,
    ( ! [X18: key1,X17: $int] :
        ( ~ $less($sum(1,X17),1)
        | $less(X17,hash1(X18))
        | $less(hash1(X18),sK3) )
    | ~ spl27_41
    | ~ spl27_47
    | ~ spl27_80 ),
    inference(resolution,[],[f23916,f725]) ).

tff(f23916,plain,
    ( ! [X0: key1,X1: $int] :
        ( ~ $less(hash1(X0),X1)
        | ~ $less(X1,1)
        | $less(hash1(X0),sK3) )
    | ~ spl27_41
    | ~ spl27_47
    | ~ spl27_80 ),
    inference(resolution,[],[f23731,f865]) ).

tff(f23731,plain,
    ( ! [X0: key1] :
        ( ~ $less(hash1(X0),abs1(1))
        | $less(hash1(X0),sK3) )
    | ~ spl27_41
    | ~ spl27_47
    | ~ spl27_80 ),
    inference(superposition,[],[f23689,f1463]) ).

tff(f23762,plain,
    ( spl27_144
    | ~ spl27_145
    | ~ spl27_3
    | ~ spl27_80
    | ~ spl27_111 ),
    inference(avatar_split_clause,[],[f23685,f8324,f3623,f469,f23760,f23757]) ).

tff(f23757,plain,
    ( spl27_144
  <=> ! [X20: key1] : $less(bucket1(X20,abs1(2)),sK3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl27_144])]) ).

tff(f8324,plain,
    ( spl27_111
  <=> $less(2,sK3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl27_111])]) ).

tff(f23685,plain,
    ( ! [X20: key1] :
        ( ~ $less(0,abs1(2))
        | $less(bucket1(X20,abs1(2)),sK3) )
    | ~ spl27_3
    | ~ spl27_80
    | ~ spl27_111 ),
    inference(subsumption_resolution,[],[f23674,f11772]) ).

tff(f11772,plain,
    ( ! [X1: $int] :
        ( ~ $less(X1,2)
        | $less(X1,sK3) )
    | ~ spl27_111 ),
    inference(resolution,[],[f8325,f132]) ).

tff(f8325,plain,
    ( $less(2,sK3)
    | ~ spl27_111 ),
    inference(avatar_component_clause,[],[f8324]) ).

tff(f23674,plain,
    ( ! [X20: key1] :
        ( $less(bucket1(X20,abs1(2)),2)
        | ~ $less(0,abs1(2))
        | $less(bucket1(X20,abs1(2)),sK3) )
    | ~ spl27_3
    | ~ spl27_80 ),
    inference(resolution,[],[f1490,f6996]) ).

tff(f6996,plain,
    ( ! [X2: $int] :
        ( ~ $less(2,$uminus(X2))
        | $less(X2,sK3) )
    | ~ spl27_3
    | ~ spl27_80 ),
    inference(superposition,[],[f6970,f136]) ).

tff(f6970,plain,
    ( ! [X0: $int] :
        ( $less($uminus(X0),sK3)
        | ~ $less(2,X0) )
    | ~ spl27_3
    | ~ spl27_80 ),
    inference(resolution,[],[f5603,f1043]) ).

tff(f5603,plain,
    ( ! [X10: $int] :
        ( ~ $less($sum(2,X10),0)
        | $less(X10,sK3) )
    | ~ spl27_3
    | ~ spl27_80 ),
    inference(evaluation,[],[f5583]) ).

tff(f5583,plain,
    ( ! [X10: $int] :
        ( ~ $less($sum(1,$sum(1,X10)),0)
        | $less(X10,sK3) )
    | ~ spl27_3
    | ~ spl27_80 ),
    inference(resolution,[],[f4603,f4038]) ).

tff(f4603,plain,
    ( ! [X8: $int,X7: $int] :
        ( $less(X8,$sum(1,$sum(X8,X7)))
        | $less(X7,sK3) )
    | ~ spl27_3 ),
    inference(forward_demodulation,[],[f4587,f127]) ).

tff(f4587,plain,
    ( ! [X8: $int,X7: $int] :
        ( $less(X7,sK3)
        | $less(X8,$sum($sum(1,X8),X7)) )
    | ~ spl27_3 ),
    inference(resolution,[],[f4578,f725]) ).

tff(f22777,plain,
    ( spl27_57
    | ~ spl27_60 ),
    inference(avatar_split_clause,[],[f4145,f2395,f2281]) ).

tff(f2281,plain,
    ( spl27_57
  <=> ! [X11: $int] :
        ( $less(X11,sK3)
        | $less($uminus(X11),0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl27_57])]) ).

tff(f2395,plain,
    ( spl27_60
  <=> $less(abs1(-1),sK3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl27_60])]) ).

tff(f4145,plain,
    ( ! [X2: $int] :
        ( $less(X2,sK3)
        | $less($uminus(X2),0) )
    | ~ spl27_60 ),
    inference(resolution,[],[f4138,f752]) ).

tff(f4138,plain,
    ( ! [X0: $int] :
        ( ~ $less(-1,$uminus(X0))
        | $less(X0,sK3) )
    | ~ spl27_60 ),
    inference(superposition,[],[f4124,f136]) ).

tff(f4124,plain,
    ( ! [X2: $int] :
        ( $less($uminus(X2),sK3)
        | ~ $less(-1,X2) )
    | ~ spl27_60 ),
    inference(resolution,[],[f816,f3753]) ).

tff(f3753,plain,
    ( ! [X0: $int] :
        ( ~ $less(X0,abs1(-1))
        | $less(X0,sK3) )
    | ~ spl27_60 ),
    inference(resolution,[],[f2396,f132]) ).

tff(f2396,plain,
    ( $less(abs1(-1),sK3)
    | ~ spl27_60 ),
    inference(avatar_component_clause,[],[f2395]) ).

tff(f21619,plain,
    ( spl27_54
    | ~ spl27_3 ),
    inference(avatar_split_clause,[],[f21604,f469,f1400]) ).

tff(f21604,plain,
    ( ! [X1: $int] :
        ( $less($uminus(X1),1)
        | $less(X1,sK3) )
    | ~ spl27_3 ),
    inference(resolution,[],[f4539,f727]) ).

tff(f21381,plain,
    ( ~ spl27_60
    | ~ spl27_141 ),
    inference(avatar_contradiction_clause,[],[f21380]) ).

tff(f21380,plain,
    ( $false
    | ~ spl27_60
    | ~ spl27_141 ),
    inference(subsumption_resolution,[],[f20813,f395]) ).

tff(f20813,plain,
    ( $less(abs1(-1),0)
    | ~ spl27_60
    | ~ spl27_141 ),
    inference(backward_demodulation,[],[f2396,f20705]) ).

tff(f20705,plain,
    ( ( 0 = sK3 )
    | ~ spl27_141 ),
    inference(avatar_component_clause,[],[f20704]) ).

tff(f21230,plain,
    ( ~ spl27_111
    | ~ spl27_141 ),
    inference(avatar_contradiction_clause,[],[f21229]) ).

tff(f21229,plain,
    ( $false
    | ~ spl27_111
    | ~ spl27_141 ),
    inference(evaluation,[],[f21023]) ).

tff(f21023,plain,
    ( $less(2,0)
    | ~ spl27_111
    | ~ spl27_141 ),
    inference(backward_demodulation,[],[f8325,f20705]) ).

tff(f21227,plain,
    ( ~ spl27_138
    | ~ spl27_141 ),
    inference(avatar_contradiction_clause,[],[f21226]) ).

tff(f21226,plain,
    ( $false
    | ~ spl27_138
    | ~ spl27_141 ),
    inference(evaluation,[],[f21207]) ).

tff(f21207,plain,
    ( $less(5,0)
    | ~ spl27_138
    | ~ spl27_141 ),
    inference(backward_demodulation,[],[f20053,f20705]) ).

tff(f20053,plain,
    ( $less(5,sK3)
    | ~ spl27_138 ),
    inference(avatar_component_clause,[],[f20052]) ).

tff(f20052,plain,
    ( spl27_138
  <=> $less(5,sK3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl27_138])]) ).

tff(f21225,plain,
    ( spl27_45
    | ~ spl27_141 ),
    inference(avatar_contradiction_clause,[],[f21224]) ).

tff(f21224,plain,
    ( $false
    | spl27_45
    | ~ spl27_141 ),
    inference(evaluation,[],[f20794]) ).

tff(f20794,plain,
    ( ~ $less(0,1)
    | spl27_45
    | ~ spl27_141 ),
    inference(backward_demodulation,[],[f820,f20705]) ).

tff(f820,plain,
    ( ~ $less(sK3,1)
    | spl27_45 ),
    inference(avatar_component_clause,[],[f819]) ).

tff(f819,plain,
    ( spl27_45
  <=> $less(sK3,1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl27_45])]) ).

tff(f21223,plain,
    ( ~ spl27_133
    | ~ spl27_141 ),
    inference(avatar_contradiction_clause,[],[f21222]) ).

tff(f21222,plain,
    ( $false
    | ~ spl27_133
    | ~ spl27_141 ),
    inference(evaluation,[],[f21193]) ).

tff(f21193,plain,
    ( $less(4,0)
    | ~ spl27_133
    | ~ spl27_141 ),
    inference(backward_demodulation,[],[f18657,f20705]) ).

tff(f18657,plain,
    ( $less(4,sK3)
    | ~ spl27_133 ),
    inference(avatar_component_clause,[],[f18656]) ).

tff(f18656,plain,
    ( spl27_133
  <=> $less(4,sK3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl27_133])]) ).

tff(f21221,plain,
    ( ~ spl27_112
    | ~ spl27_141 ),
    inference(avatar_contradiction_clause,[],[f21220]) ).

tff(f21220,plain,
    ( $false
    | ~ spl27_112
    | ~ spl27_141 ),
    inference(evaluation,[],[f21033]) ).

tff(f21033,plain,
    ( $less($uminus(0),0)
    | ~ spl27_112
    | ~ spl27_141 ),
    inference(backward_demodulation,[],[f8705,f20705]) ).

tff(f8705,plain,
    ( $less($uminus(sK3),sK3)
    | ~ spl27_112 ),
    inference(avatar_component_clause,[],[f8704]) ).

tff(f8704,plain,
    ( spl27_112
  <=> $less($uminus(sK3),sK3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl27_112])]) ).

tff(f21217,plain,
    ( ~ spl27_47
    | ~ spl27_141 ),
    inference(avatar_contradiction_clause,[],[f21216]) ).

tff(f21216,plain,
    ( $false
    | ~ spl27_47
    | ~ spl27_141 ),
    inference(evaluation,[],[f20799]) ).

tff(f20799,plain,
    ( $less(1,0)
    | ~ spl27_47
    | ~ spl27_141 ),
    inference(backward_demodulation,[],[f906,f20705]) ).

tff(f21215,plain,
    ( ~ spl27_3
    | ~ spl27_141 ),
    inference(avatar_contradiction_clause,[],[f21214]) ).

tff(f21214,plain,
    ( $false
    | ~ spl27_3
    | ~ spl27_141 ),
    inference(evaluation,[],[f20787]) ).

tff(f20787,plain,
    ( $less(0,0)
    | ~ spl27_3
    | ~ spl27_141 ),
    inference(backward_demodulation,[],[f470,f20705]) ).

tff(f20714,plain,
    ( spl27_141
    | spl27_140
    | spl27_142
    | ~ spl27_3
    | ~ spl27_47
    | ~ spl27_57 ),
    inference(avatar_split_clause,[],[f20586,f2281,f905,f469,f20707,f20701,f20704]) ).

tff(f20701,plain,
    ( spl27_140
  <=> $less($uminus(abs1(sK3)),sK3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl27_140])]) ).

tff(f20707,plain,
    ( spl27_142
  <=> ! [X35: $int] :
        ( $less($uminus(X35),sK3)
        | $less($uminus(abs1(X35)),0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl27_142])]) ).

tff(f20586,plain,
    ( ! [X94: $int] :
        ( $less($uminus(X94),sK3)
        | $less($uminus(abs1(X94)),0)
        | $less($uminus(abs1(sK3)),sK3)
        | ( 0 = sK3 ) )
    | ~ spl27_3
    | ~ spl27_47
    | ~ spl27_57 ),
    inference(subsumption_resolution,[],[f20480,f395]) ).

tff(f20480,plain,
    ( ! [X94: $int] :
        ( $less($uminus(abs1(X94)),0)
        | $less($uminus(abs1(sK3)),sK3)
        | $less($uminus(X94),sK3)
        | $less(abs1(X94),0)
        | ( 0 = sK3 ) )
    | ~ spl27_3
    | ~ spl27_47
    | ~ spl27_57 ),
    inference(resolution,[],[f20147,f3830]) ).

tff(f3830,plain,
    ( ! [X0: $int] :
        ( $less($uminus(X0),sK3)
        | $less(X0,0) )
    | ~ spl27_57 ),
    inference(superposition,[],[f2282,f136]) ).

tff(f2282,plain,
    ( ! [X11: $int] :
        ( $less($uminus(X11),0)
        | $less(X11,sK3) )
    | ~ spl27_57 ),
    inference(avatar_component_clause,[],[f2281]) ).

tff(f20147,plain,
    ( ! [X63: $int,X64: $int] :
        ( ~ $less($uminus(abs1(X64)),X63)
        | $less($uminus(abs1(X64)),0)
        | $less($uminus(abs1(X63)),sK3)
        | ( 0 = X63 )
        | $less($uminus(X64),sK3) )
    | ~ spl27_3
    | ~ spl27_47
    | ~ spl27_57 ),
    inference(resolution,[],[f1459,f8077]) ).

tff(f8077,plain,
    ( ! [X0: $int,X1: $int] :
        ( ~ $less(X1,$uminus(abs1(X0)))
        | $less($uminus(X0),sK3)
        | $less(X1,sK3) )
    | ~ spl27_3
    | ~ spl27_47
    | ~ spl27_57 ),
    inference(resolution,[],[f8070,f132]) ).

tff(f8070,plain,
    ( ! [X2: $int] :
        ( $less($uminus(abs1(X2)),sK3)
        | $less($uminus(X2),sK3) )
    | ~ spl27_3
    | ~ spl27_47
    | ~ spl27_57 ),
    inference(resolution,[],[f7605,f3746]) ).

tff(f7605,plain,
    ( ! [X2: $int] :
        ( $less($uminus(abs1(X2)),1)
        | $less($uminus(X2),sK3) )
    | ~ spl27_3
    | ~ spl27_57 ),
    inference(resolution,[],[f7602,f727]) ).

tff(f7602,plain,
    ( ! [X7: $int] :
        ( ~ $less(0,$uminus(abs1(X7)))
        | $less($uminus(X7),sK3) )
    | ~ spl27_3
    | ~ spl27_57 ),
    inference(subsumption_resolution,[],[f7587,f3830]) ).

tff(f7587,plain,
    ( ! [X7: $int] :
        ( ~ $less(X7,0)
        | ~ $less(0,$uminus(abs1(X7)))
        | $less($uminus(X7),sK3) )
    | ~ spl27_3 ),
    inference(evaluation,[],[f7563]) ).

tff(f7563,plain,
    ( ! [X7: $int] :
        ( ~ $less($uminus(0),$uminus(abs1(X7)))
        | $less($uminus(X7),sK3)
        | ~ $less(X7,0) )
    | ~ spl27_3 ),
    inference(superposition,[],[f4601,f798]) ).

tff(f4601,plain,
    ( ! [X16: $int,X17: $int] :
        ( ~ $less($uminus($sum(X17,X16)),$uminus(X16))
        | $less($uminus(X17),sK3) )
    | ~ spl27_3 ),
    inference(superposition,[],[f4578,f129]) ).

tff(f129,plain,
    ! [X0: $int,X1: $int] : ( $uminus($sum(X0,X1)) = $sum($uminus(X1),$uminus(X0)) ),
    introduced(theory_axiom_144,[]) ).

tff(f1459,plain,
    ! [X6: $int,X5: $int] :
      ( $less($uminus(abs1(X6)),X5)
      | ( 0 = X6 )
      | $less(X5,0)
      | ~ $less(X5,X6) ),
    inference(superposition,[],[f307,f381]) ).

tff(f20713,plain,
    ( spl27_141
    | spl27_143
    | ~ spl27_3
    | ~ spl27_47
    | ~ spl27_57 ),
    inference(avatar_split_clause,[],[f20699,f2281,f905,f469,f20711,f20704]) ).

tff(f20711,plain,
    ( spl27_143
  <=> ! [X0: $int] : $less(mod1(X0,sK3),sK3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl27_143])]) ).

tff(f20699,plain,
    ( ! [X0: $int] :
        ( $less(mod1(X0,sK3),sK3)
        | ( 0 = sK3 ) )
    | ~ spl27_3
    | ~ spl27_47
    | ~ spl27_57 ),
    inference(subsumption_resolution,[],[f20694,f131]) ).

tff(f20694,plain,
    ( ! [X0: $int] :
        ( ( 0 = sK3 )
        | $less(mod1(X0,sK3),sK3)
        | $less(sK3,sK3) )
    | ~ spl27_3
    | ~ spl27_47
    | ~ spl27_57 ),
    inference(factoring,[],[f20625]) ).

tff(f20625,plain,
    ( ! [X12: $int,X13: $int] :
        ( $less(mod1(X12,X13),sK3)
        | $less(X13,sK3)
        | ( 0 = X13 )
        | $less(mod1(X12,X13),X13) )
    | ~ spl27_3
    | ~ spl27_47
    | ~ spl27_57 ),
    inference(resolution,[],[f1488,f8164]) ).

tff(f8164,plain,
    ( ! [X2: $int,X3: $int] :
        ( ~ $less(X3,$uminus(X2))
        | $less(X3,sK3)
        | $less(X2,sK3) )
    | ~ spl27_3
    | ~ spl27_47
    | ~ spl27_57 ),
    inference(subsumption_resolution,[],[f8163,f2282]) ).

tff(f8163,plain,
    ( ! [X2: $int,X3: $int] :
        ( ~ $less(X3,$uminus(X2))
        | $less(X2,sK3)
        | $less(X3,sK3)
        | ~ $less($uminus(X2),0) )
    | ~ spl27_3
    | ~ spl27_47
    | ~ spl27_57 ),
    inference(evaluation,[],[f8160]) ).

tff(f8160,plain,
    ( ! [X2: $int,X3: $int] :
        ( $less(X3,sK3)
        | $less($uminus($uminus(X2)),sK3)
        | ~ $less($uminus(X2),0)
        | ~ $less(X3,$uminus(X2)) )
    | ~ spl27_3
    | ~ spl27_47
    | ~ spl27_57 ),
    inference(superposition,[],[f8077,f796]) ).

tff(f796,plain,
    ! [X0: $int] :
      ( ( abs1($uminus(X0)) = X0 )
      | ~ $less($uminus(X0),0) ),
    inference(superposition,[],[f376,f136]) ).

tff(f1488,plain,
    ! [X18: $int,X19: $int] :
      ( $less(X19,$uminus(mod1(X18,X19)))
      | $less(mod1(X18,X19),X19)
      | ( 0 = X19 ) ),
    inference(resolution,[],[f414,f308]) ).

tff(f20709,plain,
    ( spl27_140
    | spl27_141
    | spl27_142
    | ~ spl27_3
    | ~ spl27_47
    | ~ spl27_57 ),
    inference(avatar_split_clause,[],[f20551,f2281,f905,f469,f20707,f20704,f20701]) ).

tff(f20551,plain,
    ( ! [X35: $int] :
        ( $less($uminus(X35),sK3)
        | ( 0 = sK3 )
        | $less($uminus(abs1(X35)),0)
        | $less($uminus(abs1(sK3)),sK3) )
    | ~ spl27_3
    | ~ spl27_47
    | ~ spl27_57 ),
    inference(duplicate_literal_removal,[],[f20419]) ).

tff(f20419,plain,
    ( ! [X35: $int] :
        ( $less($uminus(abs1(X35)),0)
        | $less($uminus(X35),sK3)
        | ( 0 = sK3 )
        | $less($uminus(X35),sK3)
        | $less($uminus(abs1(sK3)),sK3) )
    | ~ spl27_3
    | ~ spl27_47
    | ~ spl27_57 ),
    inference(resolution,[],[f20147,f8070]) ).

tff(f20058,plain,
    ( spl27_139
    | spl27_138
    | ~ spl27_3
    | ~ spl27_47
    | ~ spl27_57
    | ~ spl27_134 ),
    inference(avatar_split_clause,[],[f20045,f18659,f2281,f905,f469,f20052,f20055]) ).

tff(f20055,plain,
    ( spl27_139
  <=> $less(-5,sK3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl27_139])]) ).

tff(f18659,plain,
    ( spl27_134
  <=> $less(-4,sK3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl27_134])]) ).

tff(f20045,plain,
    ( $less(5,sK3)
    | $less(-5,sK3)
    | ~ spl27_3
    | ~ spl27_47
    | ~ spl27_57
    | ~ spl27_134 ),
    inference(evaluation,[],[f20022]) ).

tff(f20022,plain,
    ( $less($uminus($sum(-4,-1)),sK3)
    | $less($sum(-4,-1),sK3)
    | ~ spl27_3
    | ~ spl27_47
    | ~ spl27_57
    | ~ spl27_134 ),
    inference(resolution,[],[f19839,f18546]) ).

tff(f18546,plain,
    ( ! [X0: $int] :
        ( $less($uminus($sum(X0,-1)),X0)
        | $less($sum(X0,-1),sK3) )
    | ~ spl27_3
    | ~ spl27_47
    | ~ spl27_57 ),
    inference(superposition,[],[f17814,f126]) ).

tff(f17814,plain,
    ( ! [X3: $int] :
        ( $less($uminus($sum(-1,X3)),X3)
        | $less($sum(-1,X3),sK3) )
    | ~ spl27_3
    | ~ spl27_47
    | ~ spl27_57 ),
    inference(evaluation,[],[f17807]) ).

tff(f17807,plain,
    ( ! [X3: $int] :
        ( $less($sum($uminus(1),X3),sK3)
        | $less($uminus($sum($uminus(1),X3)),X3) )
    | ~ spl27_3
    | ~ spl27_47
    | ~ spl27_57 ),
    inference(superposition,[],[f17772,f1243]) ).

tff(f17772,plain,
    ( ! [X4: $int] :
        ( $less($uminus(X4),$sum(1,X4))
        | $less(X4,sK3) )
    | ~ spl27_3
    | ~ spl27_47
    | ~ spl27_57 ),
    inference(superposition,[],[f17701,f136]) ).

tff(f17701,plain,
    ( ! [X179: $int] :
        ( $less(X179,$sum(1,$uminus(X179)))
        | $less($uminus(X179),sK3) )
    | ~ spl27_3
    | ~ spl27_47
    | ~ spl27_57 ),
    inference(resolution,[],[f16940,f728]) ).

tff(f728,plain,
    ! [X0: $int] : $less(X0,$sum(1,X0)),
    inference(superposition,[],[f722,f126]) ).

tff(f722,plain,
    ! [X0: $int] : $less(X0,$sum(X0,1)),
    inference(resolution,[],[f135,f131]) ).

tff(f16940,plain,
    ( ! [X16: $int,X15: $int] :
        ( ~ $less($uminus(X15),X16)
        | $less($uminus(X15),sK3)
        | $less(X15,X16) )
    | ~ spl27_3
    | ~ spl27_47
    | ~ spl27_57 ),
    inference(resolution,[],[f15753,f869]) ).

tff(f869,plain,
    ! [X10: $int,X11: $int,X9: $int] :
      ( $less(X9,$sum(X10,1))
      | ~ $less(X9,X11)
      | $less(X10,X11) ),
    inference(resolution,[],[f132,f135]) ).

tff(f15753,plain,
    ( ! [X0: $int] :
        ( ~ $less($uminus(X0),$sum(X0,1))
        | $less($uminus(X0),sK3) )
    | ~ spl27_3
    | ~ spl27_47
    | ~ spl27_57 ),
    inference(evaluation,[],[f15750]) ).

tff(f15750,plain,
    ( ! [X0: $int] :
        ( $less($uminus(X0),sK3)
        | ~ $less($uminus(X0),$sum(X0,$uminus(-1))) )
    | ~ spl27_3
    | ~ spl27_47
    | ~ spl27_57 ),
    inference(superposition,[],[f15564,f1014]) ).

tff(f1014,plain,
    ! [X0: $int,X1: $int] : ( $sum(X0,$uminus(X1)) = $uminus($sum(X1,$uminus(X0))) ),
    inference(superposition,[],[f129,f136]) ).

tff(f15564,plain,
    ( ! [X0: $int] :
        ( ~ $less(X0,$uminus($sum(-1,X0)))
        | $less(X0,sK3) )
    | ~ spl27_3
    | ~ spl27_47
    | ~ spl27_57 ),
    inference(superposition,[],[f15491,f126]) ).

tff(f15491,plain,
    ( ! [X13: $int] :
        ( ~ $less(X13,$uminus($sum(X13,-1)))
        | $less(X13,sK3) )
    | ~ spl27_3
    | ~ spl27_47
    | ~ spl27_57 ),
    inference(evaluation,[],[f15464]) ).

tff(f15464,plain,
    ( ! [X13: $int] :
        ( $less($sum(1,$sum(X13,$uminus(1))),sK3)
        | ~ $less(X13,$uminus($sum(X13,$uminus(1)))) )
    | ~ spl27_3
    | ~ spl27_47
    | ~ spl27_57 ),
    inference(resolution,[],[f15409,f1048]) ).

tff(f1048,plain,
    ! [X16: $int,X14: $int,X15: $int] :
      ( $less($sum(X16,$uminus(X15)),$uminus($sum(X15,X14)))
      | ~ $less(X16,$uminus(X14)) ),
    inference(superposition,[],[f134,f129]) ).

tff(f15409,plain,
    ( ! [X2: $int] :
        ( ~ $less(X2,$uminus($sum(1,X2)))
        | $less($sum(1,X2),sK3) )
    | ~ spl27_3
    | ~ spl27_47
    | ~ spl27_57 ),
    inference(superposition,[],[f15372,f126]) ).

tff(f15372,plain,
    ( ! [X0: $int] :
        ( ~ $less(X0,$uminus($sum(X0,1)))
        | $less($sum(X0,1),sK3) )
    | ~ spl27_3
    | ~ spl27_47
    | ~ spl27_57 ),
    inference(factoring,[],[f12505]) ).

tff(f12505,plain,
    ( ! [X2: $int,X3: $int] :
        ( $less($sum(X3,1),sK3)
        | $less(X2,sK3)
        | ~ $less(X3,$uminus(X2)) )
    | ~ spl27_3
    | ~ spl27_47
    | ~ spl27_57 ),
    inference(subsumption_resolution,[],[f12502,f2282]) ).

tff(f12502,plain,
    ( ! [X2: $int,X3: $int] :
        ( ~ $less($uminus(X2),0)
        | $less(X2,sK3)
        | $less($sum(X3,1),sK3)
        | ~ $less(X3,$uminus(X2)) )
    | ~ spl27_3
    | ~ spl27_47
    | ~ spl27_57 ),
    inference(evaluation,[],[f12482]) ).

tff(f12482,plain,
    ( ! [X2: $int,X3: $int] :
        ( ~ $less($uminus(X2),0)
        | ~ $less(X3,$uminus(X2))
        | $less($uminus($uminus(X2)),sK3)
        | $less($sum(X3,1),sK3) )
    | ~ spl27_3
    | ~ spl27_47
    | ~ spl27_57 ),
    inference(superposition,[],[f11417,f796]) ).

tff(f11417,plain,
    ( ! [X42: $int,X43: $int] :
        ( ~ $less(X43,$uminus(abs1(X42)))
        | $less($uminus(X42),sK3)
        | $less($sum(X43,1),sK3) )
    | ~ spl27_3
    | ~ spl27_47
    | ~ spl27_57 ),
    inference(duplicate_literal_removal,[],[f11202]) ).

tff(f11202,plain,
    ( ! [X42: $int,X43: $int] :
        ( $less($uminus(X42),sK3)
        | $less($sum(X43,1),sK3)
        | ~ $less(X43,$uminus(abs1(X42)))
        | $less($sum(X43,1),sK3)
        | $less($uminus(X42),sK3) )
    | ~ spl27_3
    | ~ spl27_47
    | ~ spl27_57 ),
    inference(superposition,[],[f8070,f11123]) ).

tff(f11123,plain,
    ( ! [X52: $int,X53: $int] :
        ( ( $uminus(abs1(X53)) = $sum(X52,1) )
        | $less($sum(X52,1),sK3)
        | $less($uminus(X53),sK3)
        | ~ $less(X52,$uminus(abs1(X53))) )
    | ~ spl27_3
    | ~ spl27_47
    | ~ spl27_57 ),
    inference(resolution,[],[f886,f8077]) ).

tff(f19839,plain,
    ( ! [X1: $int] :
        ( ~ $less(X1,-4)
        | $less(X1,sK3) )
    | ~ spl27_134 ),
    inference(resolution,[],[f18660,f132]) ).

tff(f18660,plain,
    ( $less(-4,sK3)
    | ~ spl27_134 ),
    inference(avatar_component_clause,[],[f18659]) ).

tff(f20057,plain,
    ( spl27_138
    | spl27_139
    | ~ spl27_3
    | ~ spl27_47
    | ~ spl27_57
    | ~ spl27_134 ),
    inference(avatar_split_clause,[],[f20037,f18659,f2281,f905,f469,f20055,f20052]) ).

tff(f20037,plain,
    ( $less(-5,sK3)
    | $less(5,sK3)
    | ~ spl27_3
    | ~ spl27_47
    | ~ spl27_57
    | ~ spl27_134 ),
    inference(evaluation,[],[f20020]) ).

tff(f20020,plain,
    ( $less($sum(-1,-4),sK3)
    | $less($uminus($sum(-1,-4)),sK3)
    | ~ spl27_3
    | ~ spl27_47
    | ~ spl27_57
    | ~ spl27_134 ),
    inference(resolution,[],[f19839,f17814]) ).

tff(f19943,plain,
    ( spl27_137
    | ~ spl27_133 ),
    inference(avatar_split_clause,[],[f19410,f18656,f19941]) ).

tff(f19941,plain,
    ( spl27_137
  <=> $less($uminus(abs1(4)),sK3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl27_137])]) ).

tff(f19410,plain,
    ( $less($uminus(abs1(4)),sK3)
    | ~ spl27_133 ),
    inference(evaluation,[],[f19378]) ).

tff(f19378,plain,
    ( $less($uminus(abs1(4)),sK3)
    | ( 0 = 4 )
    | ~ spl27_133 ),
    inference(resolution,[],[f18871,f307]) ).

tff(f18871,plain,
    ( ! [X3: $int,X4: $int] :
        ( ~ $less(X3,mod1(X4,4))
        | $less(X3,sK3) )
    | ~ spl27_133 ),
    inference(resolution,[],[f18715,f132]) ).

tff(f18715,plain,
    ( ! [X17: $int] : $less(mod1(X17,4),sK3)
    | ~ spl27_133 ),
    inference(evaluation,[],[f18700]) ).

tff(f18700,plain,
    ( ! [X17: $int] :
        ( $less(mod1(X17,4),sK3)
        | $less(4,0)
        | ( 0 = 4 ) )
    | ~ spl27_133 ),
    inference(resolution,[],[f18664,f914]) ).

tff(f18664,plain,
    ( ! [X1: $int] :
        ( ~ $less(X1,4)
        | $less(X1,sK3) )
    | ~ spl27_133 ),
    inference(resolution,[],[f18657,f132]) ).

tff(f19840,plain,
    ( spl27_135
    | ~ spl27_128 ),
    inference(avatar_split_clause,[],[f18482,f16975,f18666]) ).

tff(f18666,plain,
    ( spl27_135
  <=> $less($uminus(abs1(abs1(abs1($sum(1,abs1(0)))))),sK3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl27_135])]) ).

tff(f16975,plain,
    ( spl27_128
  <=> $less($uminus(abs1(abs1(abs1($sum(1,abs1(abs1(0))))))),sK3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl27_128])]) ).

tff(f18482,plain,
    ( $less($uminus(abs1(abs1(abs1($sum(1,abs1(0)))))),sK3)
    | ~ spl27_128 ),
    inference(subsumption_resolution,[],[f18472,f395]) ).

tff(f18472,plain,
    ( $less(abs1(0),0)
    | $less($uminus(abs1(abs1(abs1($sum(1,abs1(0)))))),sK3)
    | ~ spl27_128 ),
    inference(superposition,[],[f16976,f377]) ).

tff(f16976,plain,
    ( $less($uminus(abs1(abs1(abs1($sum(1,abs1(abs1(0))))))),sK3)
    | ~ spl27_128 ),
    inference(avatar_component_clause,[],[f16975]) ).

tff(f19739,plain,
    ( spl27_134
    | ~ spl27_133 ),
    inference(avatar_split_clause,[],[f19409,f18656,f18659]) ).

tff(f19409,plain,
    ( $less(-4,sK3)
    | ~ spl27_133 ),
    inference(evaluation,[],[f19365]) ).

tff(f19365,plain,
    ( $less(4,0)
    | $less($uminus(4),sK3)
    | ( 0 = 4 )
    | ~ spl27_133 ),
    inference(resolution,[],[f18871,f1056]) ).

tff(f18672,plain,
    ( spl27_136
    | ~ spl27_128 ),
    inference(avatar_split_clause,[],[f18481,f16975,f18670]) ).

tff(f18670,plain,
    ( spl27_136
  <=> $less($uminus(abs1(abs1($sum(1,abs1(abs1(0)))))),sK3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl27_136])]) ).

tff(f18481,plain,
    ( $less($uminus(abs1(abs1($sum(1,abs1(abs1(0)))))),sK3)
    | ~ spl27_128 ),
    inference(subsumption_resolution,[],[f18474,f395]) ).

tff(f18474,plain,
    ( $less($uminus(abs1(abs1($sum(1,abs1(abs1(0)))))),sK3)
    | $less(abs1($sum(1,abs1(abs1(0)))),0)
    | ~ spl27_128 ),
    inference(superposition,[],[f16976,f377]) ).

tff(f18668,plain,
    ( spl27_135
    | ~ spl27_128 ),
    inference(avatar_split_clause,[],[f18479,f16975,f18666]) ).

tff(f18479,plain,
    ( $less($uminus(abs1(abs1(abs1($sum(1,abs1(0)))))),sK3)
    | ~ spl27_128 ),
    inference(evaluation,[],[f18471]) ).

tff(f18471,plain,
    ( $less($uminus(abs1(abs1(abs1($sum(1,abs1(0)))))),sK3)
    | $less(0,0)
    | ~ spl27_128 ),
    inference(superposition,[],[f16976,f377]) ).

tff(f18661,plain,
    ( spl27_133
    | spl27_134
    | ~ spl27_3
    | ~ spl27_47
    | ~ spl27_57
    | ~ spl27_116 ),
    inference(avatar_split_clause,[],[f18651,f11730,f2281,f905,f469,f18659,f18656]) ).

tff(f11730,plain,
    ( spl27_116
  <=> $less(-3,sK3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl27_116])]) ).

tff(f18651,plain,
    ( $less(-4,sK3)
    | $less(4,sK3)
    | ~ spl27_3
    | ~ spl27_47
    | ~ spl27_57
    | ~ spl27_116 ),
    inference(evaluation,[],[f18628]) ).

tff(f18628,plain,
    ( $less($sum(-1,-3),sK3)
    | $less($uminus($sum(-1,-3)),sK3)
    | ~ spl27_3
    | ~ spl27_47
    | ~ spl27_57
    | ~ spl27_116 ),
    inference(resolution,[],[f18602,f17814]) ).

tff(f18602,plain,
    ( ! [X1: $int] :
        ( ~ $less(X1,-3)
        | $less(X1,sK3) )
    | ~ spl27_116 ),
    inference(resolution,[],[f11731,f132]) ).

tff(f11731,plain,
    ( $less(-3,sK3)
    | ~ spl27_116 ),
    inference(avatar_component_clause,[],[f11730]) ).

tff(f18599,plain,
    ( spl27_132
    | spl27_116
    | ~ spl27_3
    | ~ spl27_47
    | ~ spl27_57
    | ~ spl27_110 ),
    inference(avatar_split_clause,[],[f18568,f8321,f2281,f905,f469,f11730,f18597]) ).

tff(f18597,plain,
    ( spl27_132
  <=> $less(3,sK3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl27_132])]) ).

tff(f8321,plain,
    ( spl27_110
  <=> $less(-2,sK3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl27_110])]) ).

tff(f18568,plain,
    ( $less(-3,sK3)
    | $less(3,sK3)
    | ~ spl27_3
    | ~ spl27_47
    | ~ spl27_57
    | ~ spl27_110 ),
    inference(evaluation,[],[f18545]) ).

tff(f18545,plain,
    ( $less($sum(-1,-2),sK3)
    | $less($uminus($sum(-1,-2)),sK3)
    | ~ spl27_3
    | ~ spl27_47
    | ~ spl27_57
    | ~ spl27_110 ),
    inference(resolution,[],[f17814,f8390]) ).

tff(f8390,plain,
    ( ! [X0: $int] :
        ( ~ $less(X0,-2)
        | $less(X0,sK3) )
    | ~ spl27_110 ),
    inference(resolution,[],[f8322,f132]) ).

tff(f8322,plain,
    ( $less(-2,sK3)
    | ~ spl27_110 ),
    inference(avatar_component_clause,[],[f8321]) ).

tff(f18417,plain,
    ( spl27_131
    | ~ spl27_3 ),
    inference(avatar_split_clause,[],[f11710,f469,f18414]) ).

tff(f18414,plain,
    ( spl27_131
  <=> $less($uminus($sum(1,abs1(abs1(abs1(0))))),sK3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl27_131])]) ).

tff(f11710,plain,
    ( $less($uminus($sum(1,abs1(abs1(abs1(0))))),sK3)
    | ~ spl27_3 ),
    inference(forward_demodulation,[],[f11700,f126]) ).

tff(f11700,plain,
    ( $less($uminus($sum(abs1(abs1(abs1(0))),1)),sK3)
    | ~ spl27_3 ),
    inference(resolution,[],[f10894,f722]) ).

tff(f10894,plain,
    ( ! [X0: $int] :
        ( ~ $less(abs1(abs1(abs1(0))),X0)
        | $less($uminus(X0),sK3) )
    | ~ spl27_3 ),
    inference(resolution,[],[f6100,f1043]) ).

tff(f6100,plain,
    ( ! [X11: $int,X12: $int] :
        ( ~ $less($sum(abs1(abs1(abs1(X12))),X11),X12)
        | $less(X11,sK3) )
    | ~ spl27_3 ),
    inference(resolution,[],[f4673,f412]) ).

tff(f4673,plain,
    ( ! [X6: $int,X7: $int] :
        ( ~ $less($sum(abs1(abs1(X7)),X6),X7)
        | $less(X6,sK3) )
    | ~ spl27_3 ),
    inference(resolution,[],[f4586,f412]) ).

tff(f18416,plain,
    ( spl27_131
    | ~ spl27_3 ),
    inference(avatar_split_clause,[],[f11684,f469,f18414]) ).

tff(f11684,plain,
    ( $less($uminus($sum(1,abs1(abs1(abs1(0))))),sK3)
    | ~ spl27_3 ),
    inference(resolution,[],[f10894,f728]) ).

tff(f18309,plain,
    ( spl27_130
    | ~ spl27_3 ),
    inference(avatar_split_clause,[],[f10909,f469,f18307]) ).

tff(f18307,plain,
    ( spl27_130
  <=> $less($sum(-1,$uminus(abs1(abs1(abs1(sK3))))),sK3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl27_130])]) ).

tff(f10909,plain,
    ( $less($sum(-1,$uminus(abs1(abs1(abs1(sK3))))),sK3)
    | ~ spl27_3 ),
    inference(resolution,[],[f6100,f5864]) ).

tff(f5864,plain,
    ( ! [X2: $int] : $less($sum(X2,$sum(-1,$uminus(X2))),sK3)
    | ~ spl27_3 ),
    inference(superposition,[],[f5752,f136]) ).

tff(f5752,plain,
    ( ! [X2: $int] : $less($sum($uminus(X2),$sum(-1,X2)),sK3)
    | ~ spl27_3 ),
    inference(forward_demodulation,[],[f5747,f126]) ).

tff(f5747,plain,
    ( ! [X2: $int] : $less($sum($sum(-1,X2),$uminus(X2)),sK3)
    | ~ spl27_3 ),
    inference(evaluation,[],[f5736]) ).

tff(f5736,plain,
    ( ! [X2: $int] : $less($sum($sum($uminus(1),X2),$uminus(X2)),sK3)
    | ~ spl27_3 ),
    inference(superposition,[],[f5727,f1243]) ).

tff(f5727,plain,
    ( ! [X9: $int] : $less($sum(X9,$uminus($sum(1,X9))),sK3)
    | ~ spl27_3 ),
    inference(subsumption_resolution,[],[f5726,f131]) ).

tff(f5726,plain,
    ( ! [X10: $int,X9: $int] :
        ( $less($sum(X9,$uminus($sum(1,X9))),sK3)
        | $less(X10,X10) )
    | ~ spl27_3 ),
    inference(forward_demodulation,[],[f5712,f128]) ).

tff(f5712,plain,
    ( ! [X10: $int,X9: $int] :
        ( $less(X10,$sum(X10,0))
        | $less($sum(X9,$uminus($sum(1,X9))),sK3) )
    | ~ spl27_3 ),
    inference(superposition,[],[f4605,f1225]) ).

tff(f1225,plain,
    ! [X6: $int,X5: $int] : ( 0 = $sum(X5,$sum(X6,$uminus($sum(X5,X6)))) ),
    inference(superposition,[],[f127,f130]) ).

tff(f4605,plain,
    ( ! [X10: $int,X11: $int] :
        ( $less(X11,$sum(X11,$sum(1,X10)))
        | $less(X10,sK3) )
    | ~ spl27_3 ),
    inference(forward_demodulation,[],[f4589,f127]) ).

tff(f4589,plain,
    ( ! [X10: $int,X11: $int] :
        ( $less(X11,$sum($sum(X11,1),X10))
        | $less(X10,sK3) )
    | ~ spl27_3 ),
    inference(resolution,[],[f4578,f135]) ).

tff(f18066,plain,
    ( spl27_129
    | ~ spl27_3 ),
    inference(avatar_split_clause,[],[f11715,f469,f18064]) ).

tff(f18064,plain,
    ( spl27_129
  <=> $less($uminus(abs1(abs1($sum(1,abs1(abs1(abs1(0))))))),sK3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl27_129])]) ).

tff(f11715,plain,
    ( $less($uminus(abs1(abs1($sum(1,abs1(abs1(abs1(0))))))),sK3)
    | ~ spl27_3 ),
    inference(forward_demodulation,[],[f11673,f126]) ).

tff(f11673,plain,
    ( $less($uminus(abs1(abs1($sum(abs1(abs1(abs1(0))),1)))),sK3)
    | ~ spl27_3 ),
    inference(resolution,[],[f10894,f724]) ).

tff(f724,plain,
    ! [X2: $int] : $less(X2,abs1(abs1($sum(X2,1)))),
    inference(resolution,[],[f135,f711]) ).

tff(f16977,plain,
    ( spl27_128
    | ~ spl27_3 ),
    inference(avatar_split_clause,[],[f7130,f469,f16975]) ).

tff(f7130,plain,
    ( $less($uminus(abs1(abs1(abs1($sum(1,abs1(abs1(0))))))),sK3)
    | ~ spl27_3 ),
    inference(forward_demodulation,[],[f7106,f126]) ).

tff(f7106,plain,
    ( $less($uminus(abs1(abs1(abs1($sum(abs1(abs1(0)),1))))),sK3)
    | ~ spl27_3 ),
    inference(resolution,[],[f6159,f724]) ).

tff(f6159,plain,
    ( ! [X2: $int] :
        ( ~ $less(abs1(abs1(0)),X2)
        | $less($uminus(abs1(X2)),sK3) )
    | ~ spl27_3 ),
    inference(resolution,[],[f6084,f412]) ).

tff(f6084,plain,
    ( ! [X0: $int] :
        ( ~ $less(abs1(abs1(0)),X0)
        | $less($uminus(X0),sK3) )
    | ~ spl27_3 ),
    inference(resolution,[],[f4673,f1043]) ).

tff(f15515,plain,
    ( spl27_127
    | ~ spl27_3 ),
    inference(avatar_split_clause,[],[f10941,f469,f15341]) ).

tff(f15341,plain,
    ( spl27_127
  <=> $less($uminus($sum(1,abs1(abs1(abs1(sK3))))),sK3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl27_127])]) ).

tff(f10941,plain,
    ( $less($uminus($sum(1,abs1(abs1(abs1(sK3))))),sK3)
    | ~ spl27_3 ),
    inference(forward_demodulation,[],[f10904,f126]) ).

tff(f10904,plain,
    ( $less($uminus($sum(abs1(abs1(abs1(sK3))),1)),sK3)
    | ~ spl27_3 ),
    inference(resolution,[],[f6100,f5731]) ).

tff(f5731,plain,
    ( ! [X0: $int] : $less($sum(X0,$uminus($sum(X0,1))),sK3)
    | ~ spl27_3 ),
    inference(superposition,[],[f5727,f126]) ).

tff(f15343,plain,
    ( spl27_127
    | ~ spl27_3 ),
    inference(avatar_split_clause,[],[f10903,f469,f15341]) ).

tff(f10903,plain,
    ( $less($uminus($sum(1,abs1(abs1(abs1(sK3))))),sK3)
    | ~ spl27_3 ),
    inference(resolution,[],[f6100,f5727]) ).

tff(f15220,plain,
    ( spl27_126
    | ~ spl27_3
    | ~ spl27_47
    | ~ spl27_57 ),
    inference(avatar_split_clause,[],[f14638,f2281,f905,f469,f15217]) ).

tff(f15217,plain,
    ( spl27_126
  <=> $less($sum(1,$uminus($sum(2,abs1(abs1(abs1(sK3)))))),sK3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl27_126])]) ).

tff(f14638,plain,
    ( $less($sum(1,$uminus($sum(2,abs1(abs1(abs1(sK3)))))),sK3)
    | ~ spl27_3
    | ~ spl27_47
    | ~ spl27_57 ),
    inference(forward_demodulation,[],[f14618,f126]) ).

tff(f14618,plain,
    ( $less($sum(1,$uminus($sum(abs1(abs1(abs1(sK3))),2))),sK3)
    | ~ spl27_3
    | ~ spl27_47
    | ~ spl27_57 ),
    inference(resolution,[],[f14484,f6100]) ).

tff(f14484,plain,
    ( ! [X1: $int] : $less($sum(X1,$sum(1,$uminus($sum(X1,2)))),sK3)
    | ~ spl27_3
    | ~ spl27_47
    | ~ spl27_57 ),
    inference(forward_demodulation,[],[f14476,f126]) ).

tff(f14476,plain,
    ( ! [X1: $int] : $less($sum(X1,$sum($uminus($sum(X1,2)),1)),sK3)
    | ~ spl27_3
    | ~ spl27_47
    | ~ spl27_57 ),
    inference(superposition,[],[f14098,f1226]) ).

tff(f1226,plain,
    ! [X8: $int,X9: $int,X7: $int] : ( $sum(X9,$sum(X7,X8)) = $sum(X7,$sum(X8,X9)) ),
    inference(superposition,[],[f127,f126]) ).

tff(f14098,plain,
    ( ! [X0: $int] : $less($sum(1,$sum(X0,$uminus($sum(X0,2)))),sK3)
    | ~ spl27_3
    | ~ spl27_47
    | ~ spl27_57 ),
    inference(superposition,[],[f14021,f126]) ).

tff(f14021,plain,
    ( ! [X4: $int] : $less($sum(1,$sum(X4,$uminus($sum(2,X4)))),sK3)
    | ~ spl27_3
    | ~ spl27_47
    | ~ spl27_57 ),
    inference(evaluation,[],[f14020]) ).

tff(f14020,plain,
    ( ! [X4: $int] :
        ( $less($sum(1,$sum(X4,$uminus($sum(2,X4)))),sK3)
        | ~ $less(0,$sum(2,0)) )
    | ~ spl27_3
    | ~ spl27_47
    | ~ spl27_57 ),
    inference(forward_demodulation,[],[f14019,f130]) ).

tff(f14019,plain,
    ( ! [X4: $int] :
        ( ~ $less(0,$sum(2,$sum(X4,$uminus(X4))))
        | $less($sum(1,$sum(X4,$uminus($sum(2,X4)))),sK3) )
    | ~ spl27_3
    | ~ spl27_47
    | ~ spl27_57 ),
    inference(forward_demodulation,[],[f14018,f1226]) ).

tff(f14018,plain,
    ( ! [X4: $int] :
        ( ~ $less(0,$sum($uminus(X4),$sum(2,X4)))
        | $less($sum(1,$sum(X4,$uminus($sum(2,X4)))),sK3) )
    | ~ spl27_3
    | ~ spl27_47
    | ~ spl27_57 ),
    inference(forward_demodulation,[],[f14017,f126]) ).

tff(f14017,plain,
    ( ! [X4: $int] :
        ( ~ $less(0,$sum($sum(2,X4),$uminus(X4)))
        | $less($sum(1,$sum(X4,$uminus($sum(2,X4)))),sK3) )
    | ~ spl27_3
    | ~ spl27_47
    | ~ spl27_57 ),
    inference(forward_demodulation,[],[f14006,f1014]) ).

tff(f14006,plain,
    ( ! [X4: $int] :
        ( ~ $less(0,$uminus($sum(X4,$uminus($sum(2,X4)))))
        | $less($sum(1,$sum(X4,$uminus($sum(2,X4)))),sK3) )
    | ~ spl27_3
    | ~ spl27_47
    | ~ spl27_57 ),
    inference(superposition,[],[f13717,f1225]) ).

tff(f13717,plain,
    ( ! [X3: $int] :
        ( ~ $less($sum(2,X3),$uminus(X3))
        | $less($sum(1,X3),sK3) )
    | ~ spl27_3
    | ~ spl27_47
    | ~ spl27_57 ),
    inference(evaluation,[],[f13708]) ).

tff(f13708,plain,
    ( ! [X3: $int] :
        ( ~ $less($sum($uminus(-2),X3),$uminus(X3))
        | $less($sum(-1,$sum($uminus(-2),X3)),sK3) )
    | ~ spl27_3
    | ~ spl27_47
    | ~ spl27_57 ),
    inference(superposition,[],[f13455,f1243]) ).

tff(f13455,plain,
    ( ! [X0: $int] :
        ( ~ $less(X0,$uminus($sum(-2,X0)))
        | $less($sum(-1,X0),sK3) )
    | ~ spl27_3
    | ~ spl27_47
    | ~ spl27_57 ),
    inference(superposition,[],[f13359,f126]) ).

tff(f13359,plain,
    ( ! [X9: $int] :
        ( ~ $less(X9,$uminus($sum(X9,-2)))
        | $less($sum(-1,X9),sK3) )
    | ~ spl27_3
    | ~ spl27_47
    | ~ spl27_57 ),
    inference(evaluation,[],[f13305]) ).

tff(f13305,plain,
    ( ! [X9: $int] :
        ( ~ $less(X9,$uminus($sum(X9,$uminus(2))))
        | $less($sum($sum(X9,$uminus(2)),1),sK3) )
    | ~ spl27_3
    | ~ spl27_47
    | ~ spl27_57 ),
    inference(resolution,[],[f1048,f10766]) ).

tff(f10766,plain,
    ( ! [X27: $int] :
        ( ~ $less(X27,$uminus($sum(2,X27)))
        | $less($sum(X27,1),sK3) )
    | ~ spl27_3
    | ~ spl27_47
    | ~ spl27_57 ),
    inference(evaluation,[],[f10734]) ).

tff(f10734,plain,
    ( ! [X27: $int] :
        ( ~ $less(X27,$uminus($sum(1,$sum(X27,1))))
        | $less($sum(X27,1),sK3) )
    | ~ spl27_3
    | ~ spl27_47
    | ~ spl27_57 ),
    inference(resolution,[],[f10674,f143]) ).

tff(f10674,plain,
    ( ! [X3: $int] :
        ( $less($uminus($sum(1,X3)),X3)
        | $less(X3,sK3) )
    | ~ spl27_3
    | ~ spl27_47
    | ~ spl27_57 ),
    inference(evaluation,[],[f10670]) ).

tff(f10670,plain,
    ( ! [X3: $int] :
        ( $less(X3,sK3)
        | $less($uminus($sum($uminus(-1),X3)),X3) )
    | ~ spl27_3
    | ~ spl27_47
    | ~ spl27_57 ),
    inference(superposition,[],[f10507,f1243]) ).

tff(f10507,plain,
    ( ! [X0: $int] :
        ( $less($uminus(X0),$sum(-1,X0))
        | $less($sum(-1,X0),sK3) )
    | ~ spl27_3
    | ~ spl27_47
    | ~ spl27_57 ),
    inference(superposition,[],[f8591,f126]) ).

tff(f8591,plain,
    ( ! [X0: $int] :
        ( $less($uminus(X0),$sum(X0,-1))
        | $less($sum(X0,-1),sK3) )
    | ~ spl27_3
    | ~ spl27_47
    | ~ spl27_57 ),
    inference(evaluation,[],[f8586]) ).

tff(f8586,plain,
    ( ! [X0: $int] :
        ( $less($sum(X0,$uminus(1)),sK3)
        | $less($uminus(X0),$sum(X0,$uminus(1))) )
    | ~ spl27_3
    | ~ spl27_47
    | ~ spl27_57 ),
    inference(superposition,[],[f8254,f1014]) ).

tff(f8254,plain,
    ( ! [X9: $int] :
        ( $less($uminus($sum(1,X9)),sK3)
        | $less(X9,$uminus($sum(1,X9))) )
    | ~ spl27_3
    | ~ spl27_47
    | ~ spl27_57 ),
    inference(resolution,[],[f8203,f725]) ).

tff(f8203,plain,
    ( ! [X0: $int] :
        ( ~ $less($uminus(X0),X0)
        | $less($uminus(X0),sK3) )
    | ~ spl27_3
    | ~ spl27_47
    | ~ spl27_57 ),
    inference(factoring,[],[f8165]) ).

tff(f8165,plain,
    ( ! [X0: $int,X1: $int] :
        ( $less($uminus(X0),sK3)
        | ~ $less(X1,X0)
        | $less(X1,sK3) )
    | ~ spl27_3
    | ~ spl27_47
    | ~ spl27_57 ),
    inference(subsumption_resolution,[],[f8161,f3830]) ).

tff(f8161,plain,
    ( ! [X0: $int,X1: $int] :
        ( $less(X1,sK3)
        | $less($uminus(X0),sK3)
        | ~ $less(X1,X0)
        | ~ $less(X0,0) )
    | ~ spl27_3
    | ~ spl27_47
    | ~ spl27_57 ),
    inference(superposition,[],[f8077,f799]) ).

tff(f799,plain,
    ! [X2: $int] :
      ( ( $uminus(abs1(X2)) = X2 )
      | ~ $less(X2,0) ),
    inference(superposition,[],[f136,f376]) ).

tff(f15219,plain,
    ( spl27_126
    | ~ spl27_3
    | ~ spl27_47
    | ~ spl27_57 ),
    inference(avatar_split_clause,[],[f14510,f2281,f905,f469,f15217]) ).

tff(f14510,plain,
    ( $less($sum(1,$uminus($sum(2,abs1(abs1(abs1(sK3)))))),sK3)
    | ~ spl27_3
    | ~ spl27_47
    | ~ spl27_57 ),
    inference(resolution,[],[f14134,f6100]) ).

tff(f14134,plain,
    ( ! [X1: $int] : $less($sum(X1,$sum(1,$uminus($sum(2,X1)))),sK3)
    | ~ spl27_3
    | ~ spl27_47
    | ~ spl27_57 ),
    inference(forward_demodulation,[],[f14117,f126]) ).

tff(f14117,plain,
    ( ! [X1: $int] : $less($sum(X1,$sum($uminus($sum(2,X1)),1)),sK3)
    | ~ spl27_3
    | ~ spl27_47
    | ~ spl27_57 ),
    inference(superposition,[],[f14021,f1226]) ).

tff(f15108,plain,
    ( spl27_125
    | ~ spl27_3
    | ~ spl27_47
    | ~ spl27_57 ),
    inference(avatar_split_clause,[],[f14655,f2281,f905,f469,f14797]) ).

tff(f14797,plain,
    ( spl27_125
  <=> $less($sum(1,$uminus($sum(2,abs1(abs1(sK3))))),sK3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl27_125])]) ).

tff(f14655,plain,
    ( $less($sum(1,$uminus($sum(2,abs1(abs1(sK3))))),sK3)
    | ~ spl27_3
    | ~ spl27_47
    | ~ spl27_57 ),
    inference(forward_demodulation,[],[f14617,f126]) ).

tff(f14617,plain,
    ( $less($sum(1,$uminus($sum(abs1(abs1(sK3)),2))),sK3)
    | ~ spl27_3
    | ~ spl27_47
    | ~ spl27_57 ),
    inference(resolution,[],[f14484,f4673]) ).

tff(f14799,plain,
    ( spl27_125
    | ~ spl27_3
    | ~ spl27_47
    | ~ spl27_57 ),
    inference(avatar_split_clause,[],[f14509,f2281,f905,f469,f14797]) ).

tff(f14509,plain,
    ( $less($sum(1,$uminus($sum(2,abs1(abs1(sK3))))),sK3)
    | ~ spl27_3
    | ~ spl27_47
    | ~ spl27_57 ),
    inference(resolution,[],[f14134,f4673]) ).

tff(f14656,plain,
    ( spl27_124
    | ~ spl27_3
    | ~ spl27_47
    | ~ spl27_57 ),
    inference(avatar_split_clause,[],[f14644,f2281,f905,f469,f14575]) ).

tff(f14575,plain,
    ( spl27_124
  <=> $less($sum(1,$uminus($sum(2,abs1(sK3)))),sK3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl27_124])]) ).

tff(f14644,plain,
    ( $less($sum(1,$uminus($sum(2,abs1(sK3)))),sK3)
    | ~ spl27_3
    | ~ spl27_47
    | ~ spl27_57 ),
    inference(forward_demodulation,[],[f14616,f126]) ).

tff(f14616,plain,
    ( $less($sum(1,$uminus($sum(abs1(sK3),2))),sK3)
    | ~ spl27_3
    | ~ spl27_47
    | ~ spl27_57 ),
    inference(resolution,[],[f14484,f4586]) ).

tff(f14577,plain,
    ( spl27_124
    | ~ spl27_3
    | ~ spl27_47
    | ~ spl27_57 ),
    inference(avatar_split_clause,[],[f14508,f2281,f905,f469,f14575]) ).

tff(f14508,plain,
    ( $less($sum(1,$uminus($sum(2,abs1(sK3)))),sK3)
    | ~ spl27_3
    | ~ spl27_47
    | ~ spl27_57 ),
    inference(resolution,[],[f14134,f4586]) ).

tff(f14573,plain,
    ( spl27_123
    | ~ spl27_3
    | ~ spl27_47
    | ~ spl27_57 ),
    inference(avatar_split_clause,[],[f14507,f2281,f905,f469,f14571]) ).

tff(f14571,plain,
    ( spl27_123
  <=> $less($sum(1,$uminus($sum(2,sK3))),sK3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl27_123])]) ).

tff(f14507,plain,
    ( $less($sum(1,$uminus($sum(2,sK3))),sK3)
    | ~ spl27_3
    | ~ spl27_47
    | ~ spl27_57 ),
    inference(resolution,[],[f14134,f4578]) ).

tff(f13782,plain,
    ( spl27_122
    | ~ spl27_3 ),
    inference(avatar_split_clause,[],[f13621,f469,f13780]) ).

tff(f13780,plain,
    ( spl27_122
  <=> $less($uminus($sum(abs1(1),abs1(sK3))),sK3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl27_122])]) ).

tff(f13621,plain,
    ( $less($uminus($sum(abs1(1),abs1(sK3))),sK3)
    | ~ spl27_3 ),
    inference(resolution,[],[f8143,f4586]) ).

tff(f8143,plain,
    ( ! [X4: $int] : $less($sum(X4,$uminus($sum(abs1(1),X4))),sK3)
    | ~ spl27_3 ),
    inference(evaluation,[],[f8138]) ).

tff(f8138,plain,
    ( ! [X4: $int] :
        ( $less($sum(X4,$uminus($sum(abs1(1),X4))),sK3)
        | $less(0,0) )
    | ~ spl27_3 ),
    inference(superposition,[],[f8099,f1225]) ).

tff(f8099,plain,
    ( ! [X4: $int] :
        ( $less(0,$sum(abs1(1),X4))
        | $less(X4,sK3) )
    | ~ spl27_3 ),
    inference(superposition,[],[f4674,f128]) ).

tff(f13671,plain,
    ( spl27_121
    | ~ spl27_3 ),
    inference(avatar_split_clause,[],[f13665,f469,f13669]) ).

tff(f13665,plain,
    ( $less($uminus($sum(sK3,abs1(1))),sK3)
    | ~ spl27_3 ),
    inference(forward_demodulation,[],[f13620,f126]) ).

tff(f13620,plain,
    ( $less($uminus($sum(abs1(1),sK3)),sK3)
    | ~ spl27_3 ),
    inference(resolution,[],[f8143,f4578]) ).

tff(f13579,plain,
    ( ~ spl27_119
    | spl27_120
    | ~ spl27_3
    | ~ spl27_47
    | ~ spl27_57 ),
    inference(avatar_split_clause,[],[f12885,f2281,f905,f469,f13577,f13574]) ).

tff(f13574,plain,
    ( spl27_119
  <=> $less(0,$uminus(abs1(-2))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl27_119])]) ).

tff(f12885,plain,
    ( $less($sum(-1,abs1(-2)),sK3)
    | ~ $less(0,$uminus(abs1(-2)))
    | ~ spl27_3
    | ~ spl27_47
    | ~ spl27_57 ),
    inference(evaluation,[],[f12871]) ).

tff(f12871,plain,
    ( ~ $less(-2,0)
    | $less($sum(-1,abs1(-2)),sK3)
    | ~ $less(0,$uminus(abs1(-2)))
    | ~ spl27_3
    | ~ spl27_47
    | ~ spl27_57 ),
    inference(superposition,[],[f11015,f798]) ).

tff(f11015,plain,
    ( ! [X3: $int] :
        ( ~ $less($sum(-2,X3),$uminus(X3))
        | $less($sum(-1,X3),sK3) )
    | ~ spl27_3
    | ~ spl27_47
    | ~ spl27_57 ),
    inference(evaluation,[],[f11000]) ).

tff(f11000,plain,
    ( ! [X3: $int] :
        ( $less($sum($sum($uminus(2),X3),1),sK3)
        | ~ $less($sum($uminus(2),X3),$uminus(X3)) )
    | ~ spl27_3
    | ~ spl27_47
    | ~ spl27_57 ),
    inference(superposition,[],[f10766,f1243]) ).

tff(f12585,plain,
    ( spl27_118
    | ~ spl27_111 ),
    inference(avatar_split_clause,[],[f12580,f8324,f12583]) ).

tff(f12583,plain,
    ( spl27_118
  <=> $less($uminus(abs1(2)),sK3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl27_118])]) ).

tff(f12580,plain,
    ( $less($uminus(abs1(2)),sK3)
    | ~ spl27_111 ),
    inference(evaluation,[],[f12556]) ).

tff(f12556,plain,
    ( ( 0 = 2 )
    | $less($uminus(abs1(2)),sK3)
    | ~ spl27_111 ),
    inference(resolution,[],[f11961,f307]) ).

tff(f11961,plain,
    ( ! [X2: $int,X3: $int] :
        ( ~ $less(X2,mod1(X3,2))
        | $less(X2,sK3) )
    | ~ spl27_111 ),
    inference(resolution,[],[f11815,f132]) ).

tff(f11815,plain,
    ( ! [X14: $int] : $less(mod1(X14,2),sK3)
    | ~ spl27_111 ),
    inference(evaluation,[],[f11794]) ).

tff(f11794,plain,
    ( ! [X14: $int] :
        ( $less(mod1(X14,2),sK3)
        | ( 0 = 2 )
        | $less(2,0) )
    | ~ spl27_111 ),
    inference(resolution,[],[f11772,f914]) ).

tff(f11736,plain,
    ( spl27_117
    | spl27_116
    | spl27_111
    | ~ spl27_3
    | ~ spl27_47
    | ~ spl27_57 ),
    inference(avatar_split_clause,[],[f11011,f2281,f905,f469,f8324,f11730,f11734]) ).

tff(f11734,plain,
    ( spl27_117
  <=> ( -3 = sK3 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl27_117])]) ).

tff(f11011,plain,
    ( $less(2,sK3)
    | $less(-3,sK3)
    | ( -3 = sK3 )
    | ~ spl27_3
    | ~ spl27_47
    | ~ spl27_57 ),
    inference(evaluation,[],[f10988]) ).

tff(f10988,plain,
    ( ( sK3 = $uminus($sum(2,1)) )
    | $less($sum(1,1),sK3)
    | $less($uminus($sum(2,1)),sK3)
    | ~ spl27_3
    | ~ spl27_47
    | ~ spl27_57 ),
    inference(resolution,[],[f10766,f8982]) ).

tff(f8982,plain,
    ( ! [X340: $int] :
        ( $less(1,X340)
        | $less(X340,sK3)
        | ( sK3 = X340 ) )
    | ~ spl27_47 ),
    inference(resolution,[],[f883,f906]) ).

tff(f11732,plain,
    ( spl27_111
    | spl27_116
    | ~ spl27_3
    | ~ spl27_47
    | ~ spl27_57 ),
    inference(avatar_split_clause,[],[f11009,f2281,f905,f469,f11730,f8324]) ).

tff(f11009,plain,
    ( $less(-3,sK3)
    | $less(2,sK3)
    | ~ spl27_3
    | ~ spl27_47
    | ~ spl27_57 ),
    inference(evaluation,[],[f10989]) ).

tff(f10989,plain,
    ( $less($uminus($sum(2,1)),sK3)
    | $less($sum(1,1),sK3)
    | ( 1 = $uminus($sum(2,1)) )
    | ~ spl27_3
    | ~ spl27_47
    | ~ spl27_57 ),
    inference(resolution,[],[f10766,f3773]) ).

tff(f3773,plain,
    ( ! [X0: $int] :
        ( $less(1,X0)
        | $less(X0,sK3)
        | ( 1 = X0 ) )
    | ~ spl27_47 ),
    inference(resolution,[],[f3746,f133]) ).

tff(f9628,plain,
    ( spl27_115
    | ~ spl27_3 ),
    inference(avatar_split_clause,[],[f6210,f469,f9595]) ).

tff(f9595,plain,
    ( spl27_115
  <=> $less($uminus(abs1($sum(1,abs1(abs1(sK3))))),sK3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl27_115])]) ).

tff(f6210,plain,
    ( $less($uminus(abs1($sum(1,abs1(abs1(sK3))))),sK3)
    | ~ spl27_3 ),
    inference(forward_demodulation,[],[f6193,f126]) ).

tff(f6193,plain,
    ( $less($uminus(abs1($sum(abs1(abs1(sK3)),1))),sK3)
    | ~ spl27_3 ),
    inference(resolution,[],[f6092,f723]) ).

tff(f723,plain,
    ! [X1: $int] : $less(X1,abs1($sum(X1,1))),
    inference(resolution,[],[f135,f709]) ).

tff(f6092,plain,
    ( ! [X7: $int] :
        ( ~ $less(abs1(abs1(sK3)),X7)
        | $less($uminus(X7),sK3) )
    | ~ spl27_3 ),
    inference(resolution,[],[f4673,f4487]) ).

tff(f9597,plain,
    ( spl27_115
    | ~ spl27_3 ),
    inference(avatar_split_clause,[],[f6194,f469,f9595]) ).

tff(f6194,plain,
    ( $less($uminus(abs1($sum(1,abs1(abs1(sK3))))),sK3)
    | ~ spl27_3 ),
    inference(resolution,[],[f6092,f764]) ).

tff(f764,plain,
    ! [X0: $int] : $less(X0,abs1($sum(1,X0))),
    inference(superposition,[],[f723,f126]) ).

tff(f9468,plain,
    ( spl27_114
    | ~ spl27_3 ),
    inference(avatar_split_clause,[],[f6181,f469,f9350]) ).

tff(f9350,plain,
    ( spl27_114
  <=> $less($uminus(abs1($sum(1,abs1(abs1(0))))),sK3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl27_114])]) ).

tff(f6181,plain,
    ( $less($uminus(abs1($sum(1,abs1(abs1(0))))),sK3)
    | ~ spl27_3 ),
    inference(forward_demodulation,[],[f6161,f126]) ).

tff(f6161,plain,
    ( $less($uminus(abs1($sum(abs1(abs1(0)),1))),sK3)
    | ~ spl27_3 ),
    inference(resolution,[],[f6084,f723]) ).

tff(f9352,plain,
    ( spl27_114
    | ~ spl27_3 ),
    inference(avatar_split_clause,[],[f6162,f469,f9350]) ).

tff(f6162,plain,
    ( $less($uminus(abs1($sum(1,abs1(abs1(0))))),sK3)
    | ~ spl27_3 ),
    inference(resolution,[],[f6084,f764]) ).

tff(f8709,plain,
    ( spl27_112
    | spl27_113
    | ~ spl27_3
    | ~ spl27_47
    | ~ spl27_57 ),
    inference(avatar_split_clause,[],[f8642,f2281,f905,f469,f8707,f8704]) ).

tff(f8707,plain,
    ( spl27_113
  <=> $less($sum(-1,sK3),sK3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl27_113])]) ).

tff(f8642,plain,
    ( $less($sum(-1,sK3),sK3)
    | $less($uminus(sK3),sK3)
    | ~ spl27_3
    | ~ spl27_47
    | ~ spl27_57 ),
    inference(resolution,[],[f8590,f4617]) ).

tff(f4617,plain,
    ( ! [X0: $int] :
        ( ~ $less(X0,$uminus(sK3))
        | $less(X0,sK3) )
    | ~ spl27_3 ),
    inference(resolution,[],[f4591,f4527]) ).

tff(f4527,plain,
    ( ! [X0: $int,X1: $int] :
        ( $less($sum(X1,X0),sK3)
        | ~ $less(X1,$uminus(X0)) )
    | ~ spl27_3 ),
    inference(superposition,[],[f4487,f136]) ).

tff(f4591,plain,
    ( ! [X0: $int,X1: $int] :
        ( ~ $less($sum(X1,X0),X0)
        | $less(X1,sK3) )
    | ~ spl27_3 ),
    inference(superposition,[],[f4578,f126]) ).

tff(f8590,plain,
    ( ! [X3: $int] :
        ( $less($sum(-1,X3),$uminus(X3))
        | $less($uminus(X3),sK3) )
    | ~ spl27_3
    | ~ spl27_47
    | ~ spl27_57 ),
    inference(evaluation,[],[f8582]) ).

tff(f8582,plain,
    ( ! [X3: $int] :
        ( $less($sum($uminus(1),X3),$uminus(X3))
        | $less($uminus(X3),sK3) )
    | ~ spl27_3
    | ~ spl27_47
    | ~ spl27_57 ),
    inference(superposition,[],[f8254,f1243]) ).

tff(f8326,plain,
    ( spl27_110
    | spl27_111
    | ~ spl27_3
    | ~ spl27_47
    | ~ spl27_57
    | ~ spl27_80 ),
    inference(avatar_split_clause,[],[f8267,f3623,f2281,f905,f469,f8324,f8321]) ).

tff(f8267,plain,
    ( $less(2,sK3)
    | $less(-2,sK3)
    | ~ spl27_3
    | ~ spl27_47
    | ~ spl27_57
    | ~ spl27_80 ),
    inference(evaluation,[],[f8251]) ).

tff(f8251,plain,
    ( $less($uminus(2),sK3)
    | $less(2,sK3)
    | ~ spl27_3
    | ~ spl27_47
    | ~ spl27_57
    | ~ spl27_80 ),
    inference(resolution,[],[f8203,f3828]) ).

tff(f3828,plain,
    ( ! [X1: $int] :
        ( $less($uminus(X1),2)
        | $less(X1,sK3) )
    | ~ spl27_57
    | ~ spl27_80 ),
    inference(resolution,[],[f2282,f3661]) ).

tff(f7788,plain,
    ( spl27_108
    | spl27_109
    | ~ spl27_3
    | ~ spl27_57
    | ~ spl27_80
    | ~ spl27_82 ),
    inference(avatar_split_clause,[],[f7682,f3634,f3623,f2281,f469,f7786,f7783]) ).

tff(f7783,plain,
    ( spl27_108
  <=> ! [X5: $int] :
        ( $less($uminus(abs1(X5)),sK3)
        | $less($uminus(X5),sK3)
        | ( 0 = $uminus(abs1(X5)) ) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl27_108])]) ).

tff(f7682,plain,
    ( ! [X5: $int] :
        ( $less($uminus(abs1(1)),2)
        | $less($uminus(abs1(X5)),sK3)
        | ( 0 = $uminus(abs1(X5)) )
        | $less($uminus(X5),sK3) )
    | ~ spl27_3
    | ~ spl27_57
    | ~ spl27_80
    | ~ spl27_82 ),
    inference(duplicate_literal_removal,[],[f7668]) ).

tff(f7668,plain,
    ( ! [X5: $int] :
        ( ( 0 = $uminus(abs1(X5)) )
        | $less($uminus(X5),sK3)
        | $less($uminus(abs1(X5)),sK3)
        | $less($uminus(abs1(1)),2)
        | ( 0 = $uminus(abs1(X5)) ) )
    | ~ spl27_3
    | ~ spl27_57
    | ~ spl27_80
    | ~ spl27_82 ),
    inference(resolution,[],[f7612,f4276]) ).

tff(f7612,plain,
    ( ! [X0: $int,X1: $int] :
        ( ~ $less(X1,$uminus(abs1(X0)))
        | ( 0 = $uminus(abs1(X0)) )
        | $less($uminus(X0),sK3)
        | $less(X1,2) )
    | ~ spl27_3
    | ~ spl27_57
    | ~ spl27_80 ),
    inference(resolution,[],[f7604,f132]) ).

tff(f7604,plain,
    ( ! [X1: $int] :
        ( $less($uminus(abs1(X1)),2)
        | $less($uminus(X1),sK3)
        | ( 0 = $uminus(abs1(X1)) ) )
    | ~ spl27_3
    | ~ spl27_57
    | ~ spl27_80 ),
    inference(resolution,[],[f7602,f3667]) ).

tff(f7100,plain,
    ( spl27_107
    | ~ spl27_10 ),
    inference(avatar_split_clause,[],[f1301,f500,f7098]) ).

tff(f7098,plain,
    ( spl27_107
  <=> ( witness1(map(key,sF17)) = t2tb3(tb2t3(witness1(map(key,sF17)))) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl27_107])]) ).

tff(f1301,plain,
    ( ( witness1(map(key,sF17)) = t2tb3(tb2t3(witness1(map(key,sF17)))) )
    | ~ spl27_10 ),
    inference(resolution,[],[f1278,f321]) ).

tff(f321,plain,
    ! [X0: ty] : sort1(X0,witness1(X0)),
    inference(cnf_transformation,[],[f1]) ).

tff(f1,axiom,
    ! [X0: ty] : sort1(X0,witness1(X0)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',witness_sort1) ).

tff(f1278,plain,
    ( ! [X0: uni] :
        ( ~ sort1(map(key,sF17),X0)
        | ( t2tb3(tb2t3(X0)) = X0 ) )
    | ~ spl27_10 ),
    inference(forward_demodulation,[],[f297,f501]) ).

tff(f297,plain,
    ! [X0: uni] :
      ( ( t2tb3(tb2t3(X0)) = X0 )
      | ~ sort1(map(key,option(a)),X0) ),
    inference(cnf_transformation,[],[f270]) ).

tff(f270,plain,
    ! [X0: uni] :
      ( ( t2tb3(tb2t3(X0)) = X0 )
      | ~ sort1(map(key,option(a)),X0) ),
    inference(ennf_transformation,[],[f242]) ).

tff(f242,plain,
    ! [X0: uni] :
      ( sort1(map(key,option(a)),X0)
     => ( t2tb3(tb2t3(X0)) = X0 ) ),
    inference(rectify,[],[f94]) ).

tff(f94,axiom,
    ! [X17: uni] :
      ( sort1(map(key,option(a)),X17)
     => ( t2tb3(tb2t3(X17)) = X17 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',bridgeR3) ).

tff(f6835,plain,
    ( spl27_106
    | ~ spl27_3 ),
    inference(avatar_split_clause,[],[f6095,f469,f6833]) ).

tff(f6833,plain,
    ( spl27_106
  <=> $less($sum(-1,$uminus(abs1(abs1(sK3)))),sK3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl27_106])]) ).

tff(f6095,plain,
    ( $less($sum(-1,$uminus(abs1(abs1(sK3)))),sK3)
    | ~ spl27_3 ),
    inference(resolution,[],[f4673,f5864]) ).

tff(f6723,plain,
    ( spl27_105
    | ~ spl27_3 ),
    inference(avatar_split_clause,[],[f6180,f469,f6705]) ).

tff(f6705,plain,
    ( spl27_105
  <=> $less($uminus($sum(1,abs1(abs1(0)))),sK3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl27_105])]) ).

tff(f6180,plain,
    ( $less($uminus($sum(1,abs1(abs1(0)))),sK3)
    | ~ spl27_3 ),
    inference(forward_demodulation,[],[f6173,f126]) ).

tff(f6173,plain,
    ( $less($uminus($sum(abs1(abs1(0)),1)),sK3)
    | ~ spl27_3 ),
    inference(resolution,[],[f6084,f722]) ).

tff(f6707,plain,
    ( spl27_105
    | ~ spl27_3 ),
    inference(avatar_split_clause,[],[f6164,f469,f6705]) ).

tff(f6164,plain,
    ( $less($uminus($sum(1,abs1(abs1(0)))),sK3)
    | ~ spl27_3 ),
    inference(resolution,[],[f6084,f728]) ).

tff(f6599,plain,
    ( spl27_104
    | ~ spl27_3 ),
    inference(avatar_split_clause,[],[f6093,f469,f6597]) ).

tff(f6093,plain,
    ( $less($uminus($sum(1,abs1(abs1(sK3)))),sK3)
    | ~ spl27_3 ),
    inference(resolution,[],[f4673,f5727]) ).

tff(f6338,plain,
    ( spl27_103
    | ~ spl27_3 ),
    inference(avatar_split_clause,[],[f6070,f469,f6336]) ).

tff(f6070,plain,
    ( $less($sum(-1,$uminus(abs1(sK3))),sK3)
    | ~ spl27_3 ),
    inference(resolution,[],[f5864,f4586]) ).

tff(f6185,plain,
    ( spl27_102
    | ~ spl27_3 ),
    inference(avatar_split_clause,[],[f6069,f469,f6183]) ).

tff(f6183,plain,
    ( spl27_102
  <=> $less($sum(-1,$uminus(sK3)),sK3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl27_102])]) ).

tff(f6069,plain,
    ( $less($sum(-1,$uminus(sK3)),sK3)
    | ~ spl27_3 ),
    inference(resolution,[],[f5864,f4578]) ).

tff(f5376,plain,
    ( spl27_101
    | spl27_2
    | ~ spl27_99 ),
    inference(avatar_split_clause,[],[f5359,f5184,f465,f5374]) ).

tff(f5374,plain,
    ( spl27_101
  <=> $less($uminus(abs1(abs1($sum(1,sK3)))),sK3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl27_101])]) ).

tff(f5184,plain,
    ( spl27_99
  <=> $less($uminus(abs1(abs1($sum(1,abs1(sK3))))),sK3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl27_99])]) ).

tff(f5359,plain,
    ( $less($uminus(abs1(abs1($sum(1,sK3)))),sK3)
    | spl27_2
    | ~ spl27_99 ),
    inference(subsumption_resolution,[],[f5354,f466]) ).

tff(f5354,plain,
    ( $less(sK3,0)
    | $less($uminus(abs1(abs1($sum(1,sK3)))),sK3)
    | ~ spl27_99 ),
    inference(superposition,[],[f5185,f377]) ).

tff(f5185,plain,
    ( $less($uminus(abs1(abs1($sum(1,abs1(sK3))))),sK3)
    | ~ spl27_99 ),
    inference(avatar_component_clause,[],[f5184]) ).

tff(f5346,plain,
    ( spl27_100
    | ~ spl27_98 ),
    inference(avatar_split_clause,[],[f5342,f5119,f5344]) ).

tff(f5344,plain,
    ( spl27_100
  <=> $less($uminus(abs1(abs1(1))),sK3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl27_100])]) ).

tff(f5119,plain,
    ( spl27_98
  <=> $less($uminus(abs1(abs1($sum(1,abs1(0))))),sK3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl27_98])]) ).

tff(f5342,plain,
    ( $less($uminus(abs1(abs1(1))),sK3)
    | ~ spl27_98 ),
    inference(evaluation,[],[f5337]) ).

tff(f5337,plain,
    ( $less(0,0)
    | $less($uminus(abs1(abs1($sum(1,0)))),sK3)
    | ~ spl27_98 ),
    inference(superposition,[],[f5120,f377]) ).

tff(f5120,plain,
    ( $less($uminus(abs1(abs1($sum(1,abs1(0))))),sK3)
    | ~ spl27_98 ),
    inference(avatar_component_clause,[],[f5119]) ).

tff(f5186,plain,
    ( spl27_99
    | ~ spl27_3 ),
    inference(avatar_split_clause,[],[f4811,f469,f5184]) ).

tff(f4811,plain,
    ( $less($uminus(abs1(abs1($sum(1,abs1(sK3))))),sK3)
    | ~ spl27_3 ),
    inference(forward_demodulation,[],[f4800,f126]) ).

tff(f4800,plain,
    ( $less($uminus(abs1(abs1($sum(abs1(sK3),1)))),sK3)
    | ~ spl27_3 ),
    inference(resolution,[],[f4671,f724]) ).

tff(f4671,plain,
    ( ! [X5: $int] :
        ( ~ $less(abs1(sK3),X5)
        | $less($uminus(X5),sK3) )
    | ~ spl27_3 ),
    inference(resolution,[],[f4586,f4487]) ).

tff(f5121,plain,
    ( spl27_98
    | ~ spl27_3 ),
    inference(avatar_split_clause,[],[f4717,f469,f5119]) ).

tff(f4717,plain,
    ( $less($uminus(abs1(abs1($sum(1,abs1(0))))),sK3)
    | ~ spl27_3 ),
    inference(forward_demodulation,[],[f4705,f126]) ).

tff(f4705,plain,
    ( $less($uminus(abs1(abs1($sum(abs1(0),1)))),sK3)
    | ~ spl27_3 ),
    inference(resolution,[],[f4665,f724]) ).

tff(f4665,plain,
    ( ! [X0: $int] :
        ( ~ $less(abs1(0),X0)
        | $less($uminus(X0),sK3) )
    | ~ spl27_3 ),
    inference(resolution,[],[f4586,f1043]) ).

tff(f5108,plain,
    ( spl27_97
    | spl27_2
    | ~ spl27_96 ),
    inference(avatar_split_clause,[],[f5104,f5054,f465,f5106]) ).

tff(f5106,plain,
    ( spl27_97
  <=> $less($uminus(abs1($sum(1,sK3))),sK3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl27_97])]) ).

tff(f5104,plain,
    ( $less($uminus(abs1($sum(1,sK3))),sK3)
    | spl27_2
    | ~ spl27_96 ),
    inference(subsumption_resolution,[],[f5100,f466]) ).

tff(f5100,plain,
    ( $less($uminus(abs1($sum(1,sK3))),sK3)
    | $less(sK3,0)
    | ~ spl27_96 ),
    inference(superposition,[],[f5055,f377]) ).

tff(f5057,plain,
    ( spl27_96
    | ~ spl27_3 ),
    inference(avatar_split_clause,[],[f4812,f469,f5054]) ).

tff(f4812,plain,
    ( $less($uminus(abs1($sum(1,abs1(sK3)))),sK3)
    | ~ spl27_3 ),
    inference(forward_demodulation,[],[f4801,f126]) ).

tff(f4801,plain,
    ( $less($uminus(abs1($sum(abs1(sK3),1))),sK3)
    | ~ spl27_3 ),
    inference(resolution,[],[f4671,f723]) ).

tff(f5056,plain,
    ( spl27_96
    | ~ spl27_3 ),
    inference(avatar_split_clause,[],[f4802,f469,f5054]) ).

tff(f4802,plain,
    ( $less($uminus(abs1($sum(1,abs1(sK3)))),sK3)
    | ~ spl27_3 ),
    inference(resolution,[],[f4671,f764]) ).

tff(f5052,plain,
    ( spl27_95
    | ~ spl27_3 ),
    inference(avatar_split_clause,[],[f4718,f469,f5049]) ).

tff(f5049,plain,
    ( spl27_95
  <=> $less($uminus(abs1($sum(1,abs1(0)))),sK3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl27_95])]) ).

tff(f4718,plain,
    ( $less($uminus(abs1($sum(1,abs1(0)))),sK3)
    | ~ spl27_3 ),
    inference(forward_demodulation,[],[f4706,f126]) ).

tff(f4706,plain,
    ( $less($uminus(abs1($sum(abs1(0),1))),sK3)
    | ~ spl27_3 ),
    inference(resolution,[],[f4665,f723]) ).

tff(f5051,plain,
    ( spl27_95
    | ~ spl27_3 ),
    inference(avatar_split_clause,[],[f4707,f469,f5049]) ).

tff(f4707,plain,
    ( $less($uminus(abs1($sum(1,abs1(0)))),sK3)
    | ~ spl27_3 ),
    inference(resolution,[],[f4665,f764]) ).

tff(f4967,plain,
    ( spl27_94
    | spl27_2
    | ~ spl27_93 ),
    inference(avatar_split_clause,[],[f4826,f4819,f465,f4965]) ).

tff(f4965,plain,
    ( spl27_94
  <=> $less($uminus($sum(1,sK3)),sK3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl27_94])]) ).

tff(f4826,plain,
    ( $less($uminus($sum(1,sK3)),sK3)
    | spl27_2
    | ~ spl27_93 ),
    inference(subsumption_resolution,[],[f4824,f466]) ).

tff(f4824,plain,
    ( $less($uminus($sum(1,sK3)),sK3)
    | $less(sK3,0)
    | ~ spl27_93 ),
    inference(superposition,[],[f4820,f377]) ).

tff(f4822,plain,
    ( spl27_93
    | ~ spl27_3 ),
    inference(avatar_split_clause,[],[f4810,f469,f4819]) ).

tff(f4810,plain,
    ( $less($uminus($sum(1,abs1(sK3))),sK3)
    | ~ spl27_3 ),
    inference(forward_demodulation,[],[f4807,f126]) ).

tff(f4807,plain,
    ( $less($uminus($sum(abs1(sK3),1)),sK3)
    | ~ spl27_3 ),
    inference(resolution,[],[f4671,f722]) ).

tff(f4821,plain,
    ( spl27_93
    | ~ spl27_3 ),
    inference(avatar_split_clause,[],[f4803,f469,f4819]) ).

tff(f4803,plain,
    ( $less($uminus($sum(1,abs1(sK3))),sK3)
    | ~ spl27_3 ),
    inference(resolution,[],[f4671,f728]) ).

tff(f4723,plain,
    ( spl27_92
    | ~ spl27_3 ),
    inference(avatar_split_clause,[],[f4716,f469,f4720]) ).

tff(f4720,plain,
    ( spl27_92
  <=> $less($uminus($sum(1,abs1(0))),sK3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl27_92])]) ).

tff(f4716,plain,
    ( $less($uminus($sum(1,abs1(0))),sK3)
    | ~ spl27_3 ),
    inference(forward_demodulation,[],[f4712,f126]) ).

tff(f4712,plain,
    ( $less($uminus($sum(abs1(0),1)),sK3)
    | ~ spl27_3 ),
    inference(resolution,[],[f4665,f722]) ).

tff(f4722,plain,
    ( spl27_92
    | ~ spl27_3 ),
    inference(avatar_split_clause,[],[f4708,f469,f4720]) ).

tff(f4708,plain,
    ( $less($uminus($sum(1,abs1(0))),sK3)
    | ~ spl27_3 ),
    inference(resolution,[],[f4665,f728]) ).

tff(f4348,plain,
    ( spl27_90
    | ~ spl27_91
    | ~ spl27_88 ),
    inference(avatar_split_clause,[],[f3835,f3817,f4346,f4343]) ).

tff(f4343,plain,
    ( spl27_90
  <=> ! [X1: key1] : $less(bucket1(X1,$uminus(abs1(1))),sK3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl27_90])]) ).

tff(f4346,plain,
    ( spl27_91
  <=> $less(0,$uminus(abs1(1))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl27_91])]) ).

tff(f3817,plain,
    ( spl27_88
  <=> $less($uminus(abs1(1)),sK3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl27_88])]) ).

tff(f3835,plain,
    ( ! [X1: key1] :
        ( ~ $less(0,$uminus(abs1(1)))
        | $less(bucket1(X1,$uminus(abs1(1))),sK3) )
    | ~ spl27_88 ),
    inference(resolution,[],[f3820,f421]) ).

tff(f3820,plain,
    ( ! [X0: $int] :
        ( ~ $less(X0,$uminus(abs1(1)))
        | $less(X0,sK3) )
    | ~ spl27_88 ),
    inference(resolution,[],[f3818,f132]) ).

tff(f3818,plain,
    ( $less($uminus(abs1(1)),sK3)
    | ~ spl27_88 ),
    inference(avatar_component_clause,[],[f3817]) ).

tff(f3941,plain,
    ( spl27_89
    | ~ spl27_60 ),
    inference(avatar_split_clause,[],[f3937,f2395,f3939]) ).

tff(f3939,plain,
    ( spl27_89
  <=> $less($uminus(abs1(-1)),sK3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl27_89])]) ).

tff(f3937,plain,
    ( $less($uminus(abs1(-1)),sK3)
    | ~ spl27_60 ),
    inference(evaluation,[],[f3929]) ).

tff(f3929,plain,
    ( ( 0 = -1 )
    | $less($uminus(abs1(-1)),sK3)
    | ~ spl27_60 ),
    inference(resolution,[],[f3897,f307]) ).

tff(f3897,plain,
    ( ! [X0: $int,X1: $int] :
        ( ~ $less(X0,mod1(X1,-1))
        | $less(X0,sK3) )
    | ~ spl27_60 ),
    inference(resolution,[],[f3878,f132]) ).

tff(f3878,plain,
    ( ! [X2: $int] : $less(mod1(X2,-1),sK3)
    | ~ spl27_60 ),
    inference(evaluation,[],[f3874]) ).

tff(f3874,plain,
    ( ! [X2: $int] :
        ( $less(mod1(X2,-1),sK3)
        | ( 0 = -1 ) )
    | ~ spl27_60 ),
    inference(resolution,[],[f3753,f308]) ).

tff(f3819,plain,
    ( spl27_88
    | ~ spl27_3
    | ~ spl27_82 ),
    inference(avatar_split_clause,[],[f3811,f3634,f469,f3817]) ).

tff(f3811,plain,
    ( $less($uminus(abs1(1)),sK3)
    | ~ spl27_3
    | ~ spl27_82 ),
    inference(resolution,[],[f3635,f872]) ).

tff(f3802,plain,
    ( spl27_87
    | ~ spl27_71 ),
    inference(avatar_split_clause,[],[f3785,f2853,f3800]) ).

tff(f3800,plain,
    ( spl27_87
  <=> ( sF26 = mk_array1(sF13,length1(sF13,sF26),sF23) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl27_87])]) ).

tff(f3785,plain,
    ( ( sF26 = mk_array1(sF13,length1(sF13,sF26),sF23) )
    | ~ spl27_71 ),
    inference(superposition,[],[f317,f2854]) ).

tff(f317,plain,
    ! [X0: uni,X1: ty] : ( mk_array1(X1,length1(X1,X0),elts(X1,X0)) = X0 ),
    inference(cnf_transformation,[],[f233]) ).

tff(f233,plain,
    ! [X0: uni,X1: ty] : ( mk_array1(X1,length1(X1,X0),elts(X1,X0)) = X0 ),
    inference(rectify,[],[f57]) ).

tff(f57,axiom,
    ! [X6: uni,X0: ty] : ( mk_array1(X0,length1(X0,X6),elts(X0,X6)) = X6 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',array_inversion1) ).

tff(f3782,plain,
    ( spl27_71
    | ~ spl27_8
    | ~ spl27_27
    | ~ spl27_33 ),
    inference(avatar_split_clause,[],[f3772,f624,f592,f492,f2853]) ).

tff(f624,plain,
    ( spl27_33
  <=> ( mk_array1(sF13,sK3,sF23) = sF26 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl27_33])]) ).

tff(f3772,plain,
    ( ( elts(sF13,sF26) = sF23 )
    | ~ spl27_8
    | ~ spl27_27
    | ~ spl27_33 ),
    inference(subsumption_resolution,[],[f3769,f1012]) ).

tff(f1012,plain,
    ( ! [X0: uni] : sort1(map(int,sF13),X0)
    | ~ spl27_8
    | ~ spl27_27 ),
    inference(superposition,[],[f1009,f306]) ).

tff(f306,plain,
    ! [X0: uni] : ( t2tb2(tb2t2(X0)) = X0 ),
    inference(cnf_transformation,[],[f171]) ).

tff(f171,plain,
    ! [X0: uni] : ( t2tb2(tb2t2(X0)) = X0 ),
    inference(rectify,[],[f91]) ).

tff(f91,axiom,
    ! [X17: uni] : ( t2tb2(tb2t2(X17)) = X17 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',bridgeR2) ).

tff(f1009,plain,
    ( ! [X0: map_int_lplist_lpkeycm_a1rprp] : sort1(map(int,sF13),t2tb2(X0))
    | ~ spl27_8
    | ~ spl27_27 ),
    inference(forward_demodulation,[],[f1008,f493]) ).

tff(f1008,plain,
    ( ! [X0: map_int_lplist_lpkeycm_a1rprp] : sort1(map(int,list(sF12)),t2tb2(X0))
    | ~ spl27_27 ),
    inference(forward_demodulation,[],[f391,f593]) ).

tff(f391,plain,
    ! [X0: map_int_lplist_lpkeycm_a1rprp] : sort1(map(int,list(tuple2(key,a))),t2tb2(X0)),
    inference(cnf_transformation,[],[f161]) ).

tff(f161,plain,
    ! [X0: map_int_lplist_lpkeycm_a1rprp] : sort1(map(int,list(tuple2(key,a))),t2tb2(X0)),
    inference(rectify,[],[f89]) ).

tff(f89,axiom,
    ! [X1: map_int_lplist_lpkeycm_a1rprp] : sort1(map(int,list(tuple2(key,a))),t2tb2(X1)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t2tb_sort2) ).

tff(f3769,plain,
    ( ~ sort1(map(int,sF13),sF23)
    | ( elts(sF13,sF26) = sF23 )
    | ~ spl27_33 ),
    inference(superposition,[],[f402,f625]) ).

tff(f625,plain,
    ( ( mk_array1(sF13,sK3,sF23) = sF26 )
    | ~ spl27_33 ),
    inference(avatar_component_clause,[],[f624]) ).

tff(f402,plain,
    ! [X2: ty,X0: uni,X1: $int] :
      ( ( elts(X2,mk_array1(X2,X1,X0)) = X0 )
      | ~ sort1(map(int,X2),X0) ),
    inference(cnf_transformation,[],[f275]) ).

tff(f275,plain,
    ! [X2: ty,X1: $int,X0: uni] :
      ( ~ sort1(map(int,X2),X0)
      | ( elts(X2,mk_array1(X2,X1,X0)) = X0 ) ),
    inference(ennf_transformation,[],[f155]) ).

tff(f155,plain,
    ! [X0: uni,X1: $int,X2: ty] :
      ( sort1(map(int,X2),X0)
     => ( elts(X2,mk_array1(X2,X1,X0)) = X0 ) ),
    inference(rectify,[],[f56]) ).

tff(f56,axiom,
    ! [X10: uni,X6: $int,X0: ty] :
      ( sort1(map(int,X0),X10)
     => ( elts(X0,mk_array1(X0,X6,X10)) = X10 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',elts_def1) ).

tff(f3764,plain,
    ( spl27_70
    | ~ spl27_8
    | ~ spl27_27
    | ~ spl27_31 ),
    inference(avatar_split_clause,[],[f3763,f616,f592,f492,f2816]) ).

tff(f2816,plain,
    ( spl27_70
  <=> ( elts(sF13,sF15) = sF14 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl27_70])]) ).

tff(f616,plain,
    ( spl27_31
  <=> ( mk_array1(sF13,sK3,sF14) = sF15 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl27_31])]) ).

tff(f3763,plain,
    ( ( elts(sF13,sF15) = sF14 )
    | ~ spl27_8
    | ~ spl27_27
    | ~ spl27_31 ),
    inference(subsumption_resolution,[],[f3760,f1012]) ).

tff(f3760,plain,
    ( ( elts(sF13,sF15) = sF14 )
    | ~ sort1(map(int,sF13),sF14)
    | ~ spl27_31 ),
    inference(superposition,[],[f402,f617]) ).

tff(f617,plain,
    ( ( mk_array1(sF13,sK3,sF14) = sF15 )
    | ~ spl27_31 ),
    inference(avatar_component_clause,[],[f616]) ).

tff(f3735,plain,
    ~ spl27_81,
    inference(avatar_contradiction_clause,[],[f3734]) ).

tff(f3734,plain,
    ( $false
    | ~ spl27_81 ),
    inference(subsumption_resolution,[],[f3717,f395]) ).

tff(f3717,plain,
    ( $less(abs1(1),0)
    | ~ spl27_81 ),
    inference(superposition,[],[f728,f3627]) ).

tff(f3627,plain,
    ( ( 0 = $sum(1,abs1(1)) )
    | ~ spl27_81 ),
    inference(avatar_component_clause,[],[f3626]) ).

tff(f3626,plain,
    ( spl27_81
  <=> ( 0 = $sum(1,abs1(1)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl27_81])]) ).

tff(f3733,plain,
    ~ spl27_81,
    inference(avatar_contradiction_clause,[],[f3732]) ).

tff(f3732,plain,
    ( $false
    | ~ spl27_81 ),
    inference(evaluation,[],[f3716]) ).

tff(f3716,plain,
    ( $less(1,0)
    | ( 0 = $sum(1,1) )
    | ~ spl27_81 ),
    inference(superposition,[],[f3627,f377]) ).

tff(f3731,plain,
    ( ~ spl27_80
    | ~ spl27_81 ),
    inference(avatar_contradiction_clause,[],[f3730]) ).

tff(f3730,plain,
    ( $false
    | ~ spl27_80
    | ~ spl27_81 ),
    inference(evaluation,[],[f3714]) ).

tff(f3714,plain,
    ( $less(0,0)
    | ~ spl27_80
    | ~ spl27_81 ),
    inference(backward_demodulation,[],[f3624,f3627]) ).

tff(f3729,plain,
    ( ~ spl27_81
    | spl27_83 ),
    inference(avatar_contradiction_clause,[],[f3728]) ).

tff(f3728,plain,
    ( $false
    | ~ spl27_81
    | spl27_83 ),
    inference(evaluation,[],[f3713]) ).

tff(f3713,plain,
    ( ~ $less(0,1)
    | ~ spl27_81
    | spl27_83 ),
    inference(backward_demodulation,[],[f3639,f3627]) ).

tff(f3639,plain,
    ( ~ $less($sum(1,abs1(1)),1)
    | spl27_83 ),
    inference(avatar_component_clause,[],[f3638]) ).

tff(f3638,plain,
    ( spl27_83
  <=> $less($sum(1,abs1(1)),1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl27_83])]) ).

tff(f3703,plain,
    ( spl27_81
    | ~ spl27_86
    | ~ spl27_3
    | ~ spl27_48
    | spl27_83 ),
    inference(avatar_split_clause,[],[f3642,f3638,f908,f469,f3700,f3626]) ).

tff(f3700,plain,
    ( spl27_86
  <=> $less(abs1(1),-1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl27_86])]) ).

tff(f3642,plain,
    ( ~ $less(abs1(1),-1)
    | ( 0 = $sum(1,abs1(1)) )
    | ~ spl27_3
    | ~ spl27_48
    | spl27_83 ),
    inference(resolution,[],[f3639,f2751]) ).

tff(f2751,plain,
    ( ! [X0: $int] :
        ( $less($sum(1,X0),1)
        | ~ $less(X0,-1)
        | ( 0 = $sum(1,X0) ) )
    | ~ spl27_3
    | ~ spl27_48 ),
    inference(backward_demodulation,[],[f1467,f909]) ).

tff(f1467,plain,
    ( ! [X0: $int] :
        ( $less($sum(1,X0),sK3)
        | ( 0 = $sum(1,X0) )
        | ~ $less(X0,-1) )
    | ~ spl27_3 ),
    inference(superposition,[],[f980,f126]) ).

tff(f980,plain,
    ( ! [X5: $int] :
        ( $less($sum(X5,1),sK3)
        | ( 0 = $sum(X5,1) )
        | ~ $less(X5,-1) )
    | ~ spl27_3 ),
    inference(resolution,[],[f973,f143]) ).

tff(f973,plain,
    ( ! [X8: $int] :
        ( $less(-1,X8)
        | ( 0 = X8 )
        | $less(X8,sK3) )
    | ~ spl27_3 ),
    inference(evaluation,[],[f970]) ).

tff(f970,plain,
    ( ! [X8: $int] :
        ( $less(0,0)
        | $less(-1,X8)
        | $less(X8,sK3)
        | ( 0 = X8 ) )
    | ~ spl27_3 ),
    inference(resolution,[],[f934,f752]) ).

tff(f3702,plain,
    ( spl27_85
    | ~ spl27_86
    | ~ spl27_46
    | ~ spl27_48
    | spl27_83 ),
    inference(avatar_split_clause,[],[f3641,f3638,f908,f899,f3700,f3697]) ).

tff(f3697,plain,
    ( spl27_85
  <=> ( $sum(1,abs1(1)) = -1 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl27_85])]) ).

tff(f899,plain,
    ( spl27_46
  <=> $less(-1,sK3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl27_46])]) ).

tff(f3641,plain,
    ( ~ $less(abs1(1),-1)
    | ( $sum(1,abs1(1)) = -1 )
    | ~ spl27_46
    | ~ spl27_48
    | spl27_83 ),
    inference(resolution,[],[f3639,f3043]) ).

tff(f3043,plain,
    ( ! [X0: $int] :
        ( $less($sum(1,X0),1)
        | ( $sum(1,X0) = -1 )
        | ~ $less(X0,-1) )
    | ~ spl27_46
    | ~ spl27_48 ),
    inference(superposition,[],[f2739,f126]) ).

tff(f2739,plain,
    ( ! [X4: $int] :
        ( $less($sum(X4,1),1)
        | ~ $less(X4,-1)
        | ( -1 = $sum(X4,1) ) )
    | ~ spl27_46
    | ~ spl27_48 ),
    inference(backward_demodulation,[],[f948,f909]) ).

tff(f948,plain,
    ( ! [X4: $int] :
        ( $less($sum(X4,1),sK3)
        | ~ $less(X4,-1)
        | ( -1 = $sum(X4,1) ) )
    | ~ spl27_46 ),
    inference(resolution,[],[f920,f143]) ).

tff(f920,plain,
    ( ! [X0: $int] :
        ( $less(-1,X0)
        | $less(X0,sK3)
        | ( -1 = X0 ) )
    | ~ spl27_46 ),
    inference(resolution,[],[f903,f133]) ).

tff(f903,plain,
    ( ! [X0: $int] :
        ( ~ $less(X0,-1)
        | $less(X0,sK3) )
    | ~ spl27_46 ),
    inference(resolution,[],[f900,f132]) ).

tff(f900,plain,
    ( $less(-1,sK3)
    | ~ spl27_46 ),
    inference(avatar_component_clause,[],[f899]) ).

tff(f3666,plain,
    ( ~ spl27_84
    | ~ spl27_72 ),
    inference(avatar_split_clause,[],[f3620,f3130,f3664]) ).

tff(f3664,plain,
    ( spl27_84
  <=> $less($sum(1,abs1(abs1(abs1(abs1(abs1(abs1(abs1(1)))))))),0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl27_84])]) ).

tff(f3130,plain,
    ( spl27_72
  <=> $less(0,abs1(abs1(1))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl27_72])]) ).

tff(f3620,plain,
    ( ~ $less($sum(1,abs1(abs1(abs1(abs1(abs1(abs1(abs1(1)))))))),0)
    | ~ spl27_72 ),
    inference(forward_demodulation,[],[f3605,f126]) ).

tff(f3605,plain,
    ( ~ $less($sum(abs1(abs1(abs1(abs1(abs1(abs1(abs1(1))))))),1),0)
    | ~ spl27_72 ),
    inference(resolution,[],[f3443,f719]) ).

tff(f3443,plain,
    ( ! [X2: $int] :
        ( $less(X2,abs1(abs1(abs1(abs1(1)))))
        | ~ $less($sum(X2,1),0) )
    | ~ spl27_72 ),
    inference(resolution,[],[f3173,f135]) ).

tff(f3173,plain,
    ( ! [X9: $int] :
        ( ~ $less(abs1(abs1(abs1(abs1(1)))),X9)
        | ~ $less(X9,0) )
    | ~ spl27_72 ),
    inference(resolution,[],[f3158,f719]) ).

tff(f3158,plain,
    ( ! [X2: $int,X1: $int] :
        ( $less(X2,abs1(1))
        | ~ $less(X2,X1)
        | ~ $less(X1,0) )
    | ~ spl27_72 ),
    inference(resolution,[],[f3154,f132]) ).

tff(f3154,plain,
    ( ! [X0: $int] :
        ( $less(X0,abs1(1))
        | ~ $less(X0,0) )
    | ~ spl27_72 ),
    inference(evaluation,[],[f3151]) ).

tff(f3151,plain,
    ( ! [X0: $int] :
        ( $less(1,0)
        | $less(X0,abs1(1))
        | ~ $less(X0,0) )
    | ~ spl27_72 ),
    inference(superposition,[],[f3138,f377]) ).

tff(f3138,plain,
    ( ! [X0: $int] :
        ( $less(X0,abs1(abs1(1)))
        | ~ $less(X0,0) )
    | ~ spl27_72 ),
    inference(resolution,[],[f3131,f132]) ).

tff(f3131,plain,
    ( $less(0,abs1(abs1(1)))
    | ~ spl27_72 ),
    inference(avatar_component_clause,[],[f3130]) ).

tff(f3640,plain,
    ( ~ spl27_83
    | ~ spl27_80 ),
    inference(avatar_split_clause,[],[f3629,f3623,f3638]) ).

tff(f3629,plain,
    ( ~ $less($sum(1,abs1(1)),1)
    | ~ spl27_80 ),
    inference(resolution,[],[f3624,f740]) ).

tff(f3636,plain,
    spl27_82,
    inference(avatar_split_clause,[],[f1060,f3634]) ).

tff(f1060,plain,
    $less($uminus(abs1(1)),0),
    inference(evaluation,[],[f1058]) ).

tff(f1058,plain,
    ( $less($uminus(abs1(1)),0)
    | ( 0 = 1 ) ),
    inference(superposition,[],[f307,f333]) ).

tff(f3628,plain,
    ( spl27_80
    | spl27_81
    | spl27_74 ),
    inference(avatar_split_clause,[],[f3252,f3210,f3626,f3623]) ).

tff(f3210,plain,
    ( spl27_74
  <=> $less($sum(1,abs1(1)),0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl27_74])]) ).

tff(f3252,plain,
    ( ( 0 = $sum(1,abs1(1)) )
    | $less(0,$sum(1,abs1(1)))
    | spl27_74 ),
    inference(resolution,[],[f3211,f133]) ).

tff(f3211,plain,
    ( ~ $less($sum(1,abs1(1)),0)
    | spl27_74 ),
    inference(avatar_component_clause,[],[f3210]) ).

tff(f3548,plain,
    ( ~ spl27_79
    | ~ spl27_72 ),
    inference(avatar_split_clause,[],[f3543,f3130,f3546]) ).

tff(f3546,plain,
    ( spl27_79
  <=> $less($sum(1,abs1(abs1(abs1(abs1(abs1(abs1(1))))))),0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl27_79])]) ).

tff(f3543,plain,
    ( ~ $less($sum(1,abs1(abs1(abs1(abs1(abs1(abs1(1))))))),0)
    | ~ spl27_72 ),
    inference(forward_demodulation,[],[f3529,f126]) ).

tff(f3529,plain,
    ( ~ $less($sum(abs1(abs1(abs1(abs1(abs1(abs1(1)))))),1),0)
    | ~ spl27_72 ),
    inference(resolution,[],[f3331,f719]) ).

tff(f3331,plain,
    ( ! [X2: $int] :
        ( $less(X2,abs1(abs1(abs1(1))))
        | ~ $less($sum(X2,1),0) )
    | ~ spl27_72 ),
    inference(resolution,[],[f3172,f135]) ).

tff(f3172,plain,
    ( ! [X8: $int] :
        ( ~ $less(abs1(abs1(abs1(1))),X8)
        | ~ $less(X8,0) )
    | ~ spl27_72 ),
    inference(resolution,[],[f3158,f711]) ).

tff(f3515,plain,
    ( ~ spl27_78
    | ~ spl27_72 ),
    inference(avatar_split_clause,[],[f3510,f3130,f3512]) ).

tff(f3512,plain,
    ( spl27_78
  <=> $less($sum(1,abs1(abs1(abs1(abs1(abs1(1)))))),0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl27_78])]) ).

tff(f3510,plain,
    ( ~ $less($sum(1,abs1(abs1(abs1(abs1(abs1(1)))))),0)
    | ~ spl27_72 ),
    inference(forward_demodulation,[],[f3501,f126]) ).

tff(f3501,plain,
    ( ~ $less($sum(abs1(abs1(abs1(abs1(abs1(1))))),1),0)
    | ~ spl27_72 ),
    inference(resolution,[],[f3481,f722]) ).

tff(f3481,plain,
    ( ! [X9: $int] :
        ( ~ $less(abs1(abs1(abs1(abs1(abs1(1))))),X9)
        | ~ $less(X9,0) )
    | ~ spl27_72 ),
    inference(resolution,[],[f3145,f719]) ).

tff(f3145,plain,
    ( ! [X2: $int,X1: $int] :
        ( $less(X2,abs1(abs1(1)))
        | ~ $less(X2,X1)
        | ~ $less(X1,0) )
    | ~ spl27_72 ),
    inference(resolution,[],[f3138,f132]) ).

tff(f3514,plain,
    ( ~ spl27_78
    | ~ spl27_72 ),
    inference(avatar_split_clause,[],[f3502,f3130,f3512]) ).

tff(f3502,plain,
    ( ~ $less($sum(1,abs1(abs1(abs1(abs1(abs1(1)))))),0)
    | ~ spl27_72 ),
    inference(resolution,[],[f3481,f728]) ).

tff(f3457,plain,
    ( ~ spl27_77
    | ~ spl27_72 ),
    inference(avatar_split_clause,[],[f3452,f3130,f3454]) ).

tff(f3454,plain,
    ( spl27_77
  <=> $less($sum(1,abs1(abs1(abs1(abs1(1))))),0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl27_77])]) ).

tff(f3452,plain,
    ( ~ $less($sum(1,abs1(abs1(abs1(abs1(1))))),0)
    | ~ spl27_72 ),
    inference(forward_demodulation,[],[f3444,f126]) ).

tff(f3444,plain,
    ( ~ $less($sum(abs1(abs1(abs1(abs1(1)))),1),0)
    | ~ spl27_72 ),
    inference(resolution,[],[f3173,f722]) ).

tff(f3456,plain,
    ( ~ spl27_77
    | ~ spl27_72 ),
    inference(avatar_split_clause,[],[f3445,f3130,f3454]) ).

tff(f3445,plain,
    ( ~ $less($sum(1,abs1(abs1(abs1(abs1(1))))),0)
    | ~ spl27_72 ),
    inference(resolution,[],[f3173,f728]) ).

tff(f3396,plain,
    ( ~ spl27_76
    | ~ spl27_72 ),
    inference(avatar_split_clause,[],[f3339,f3130,f3341]) ).

tff(f3341,plain,
    ( spl27_76
  <=> $less($sum(1,abs1(abs1(abs1(1)))),0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl27_76])]) ).

tff(f3339,plain,
    ( ~ $less($sum(1,abs1(abs1(abs1(1)))),0)
    | ~ spl27_72 ),
    inference(forward_demodulation,[],[f3332,f126]) ).

tff(f3332,plain,
    ( ~ $less($sum(abs1(abs1(abs1(1))),1),0)
    | ~ spl27_72 ),
    inference(resolution,[],[f3172,f722]) ).

tff(f3343,plain,
    ( ~ spl27_76
    | ~ spl27_72 ),
    inference(avatar_split_clause,[],[f3333,f3130,f3341]) ).

tff(f3333,plain,
    ( ~ $less($sum(1,abs1(abs1(abs1(1)))),0)
    | ~ spl27_72 ),
    inference(resolution,[],[f3172,f728]) ).

tff(f3275,plain,
    ( ~ spl27_75
    | ~ spl27_72 ),
    inference(avatar_split_clause,[],[f3270,f3130,f3272]) ).

tff(f3272,plain,
    ( spl27_75
  <=> $less($sum(1,abs1(abs1(1))),0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl27_75])]) ).

tff(f3270,plain,
    ( ~ $less($sum(1,abs1(abs1(1))),0)
    | ~ spl27_72 ),
    inference(forward_demodulation,[],[f3263,f126]) ).

tff(f3263,plain,
    ( ~ $less($sum(abs1(abs1(1)),1),0)
    | ~ spl27_72 ),
    inference(resolution,[],[f3171,f722]) ).

tff(f3171,plain,
    ( ! [X7: $int] :
        ( ~ $less(abs1(abs1(1)),X7)
        | ~ $less(X7,0) )
    | ~ spl27_72 ),
    inference(resolution,[],[f3158,f709]) ).

tff(f3274,plain,
    ( ~ spl27_75
    | ~ spl27_72 ),
    inference(avatar_split_clause,[],[f3264,f3130,f3272]) ).

tff(f3264,plain,
    ( ~ $less($sum(1,abs1(abs1(1))),0)
    | ~ spl27_72 ),
    inference(resolution,[],[f3171,f728]) ).

tff(f3251,plain,
    ( ~ spl27_74
    | ~ spl27_72 ),
    inference(avatar_split_clause,[],[f3208,f3130,f3210]) ).

tff(f3208,plain,
    ( ~ $less($sum(1,abs1(1)),0)
    | ~ spl27_72 ),
    inference(forward_demodulation,[],[f3202,f126]) ).

tff(f3202,plain,
    ( ~ $less($sum(abs1(1),1),0)
    | ~ spl27_72 ),
    inference(resolution,[],[f3168,f722]) ).

tff(f3168,plain,
    ( ! [X2: $int] :
        ( ~ $less(abs1(1),X2)
        | ~ $less(X2,0) )
    | ~ spl27_72 ),
    inference(resolution,[],[f3158,f131]) ).

tff(f3212,plain,
    ( ~ spl27_74
    | ~ spl27_72 ),
    inference(avatar_split_clause,[],[f3203,f3130,f3210]) ).

tff(f3203,plain,
    ( ~ $less($sum(1,abs1(1)),0)
    | ~ spl27_72 ),
    inference(resolution,[],[f3168,f728]) ).

tff(f3135,plain,
    ( spl27_72
    | spl27_73
    | ~ spl27_3
    | ~ spl27_48 ),
    inference(avatar_split_clause,[],[f3122,f908,f469,f3133,f3130]) ).

tff(f3133,plain,
    ( spl27_73
  <=> ( 0 = abs1(abs1(abs1(1))) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl27_73])]) ).

tff(f3122,plain,
    ( ( 0 = abs1(abs1(abs1(1))) )
    | $less(0,abs1(abs1(1)))
    | ~ spl27_3
    | ~ spl27_48 ),
    inference(subsumption_resolution,[],[f3118,f395]) ).

tff(f3118,plain,
    ( ( 0 = abs1(abs1(abs1(1))) )
    | $less(0,abs1(abs1(1)))
    | $less(abs1(abs1(1)),0)
    | ~ spl27_3
    | ~ spl27_48 ),
    inference(resolution,[],[f3115,f719]) ).

tff(f3115,plain,
    ( ! [X8: $int] :
        ( $less(abs1(X8),1)
        | ( 0 = abs1(X8) )
        | $less(X8,0)
        | $less(0,X8) )
    | ~ spl27_3
    | ~ spl27_48 ),
    inference(forward_demodulation,[],[f1501,f909]) ).

tff(f1501,plain,
    ( ! [X8: $int] :
        ( $less(X8,0)
        | $less(0,X8)
        | $less(abs1(X8),sK3)
        | ( 0 = abs1(X8) ) )
    | ~ spl27_3 ),
    inference(evaluation,[],[f1479]) ).

tff(f1479,plain,
    ( ! [X8: $int] :
        ( $less(X8,$uminus(0))
        | $less(abs1(X8),sK3)
        | $less(0,X8)
        | ( 0 = abs1(X8) ) )
    | ~ spl27_3 ),
    inference(resolution,[],[f414,f884]) ).

tff(f2862,plain,
    ( spl27_50
    | ~ spl27_71 ),
    inference(avatar_split_clause,[],[f2860,f2853,f1062]) ).

tff(f1062,plain,
    ( spl27_50
  <=> sort1(map(int,sF13),sF23) ),
    introduced(avatar_definition,[new_symbols(naming,[spl27_50])]) ).

tff(f2860,plain,
    ( sort1(map(int,sF13),sF23)
    | ~ spl27_71 ),
    inference(superposition,[],[f392,f2854]) ).

tff(f392,plain,
    ! [X0: ty,X1: uni] : sort1(map(int,X0),elts(X0,X1)),
    inference(cnf_transformation,[],[f55]) ).

tff(f55,axiom,
    ! [X0: ty,X1: uni] : sort1(map(int,X0),elts(X0,X1)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',elts_sort1) ).

tff(f2856,plain,
    ( spl27_71
    | ~ spl27_50
    | ~ spl27_67 ),
    inference(avatar_split_clause,[],[f2784,f2778,f1062,f2853]) ).

tff(f2778,plain,
    ( spl27_67
  <=> ( mk_array1(sF13,1,sF23) = sF26 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl27_67])]) ).

tff(f2784,plain,
    ( ~ sort1(map(int,sF13),sF23)
    | ( elts(sF13,sF26) = sF23 )
    | ~ spl27_67 ),
    inference(superposition,[],[f402,f2779]) ).

tff(f2779,plain,
    ( ( mk_array1(sF13,1,sF23) = sF26 )
    | ~ spl27_67 ),
    inference(avatar_component_clause,[],[f2778]) ).

tff(f2824,plain,
    ( spl27_49
    | ~ spl27_70 ),
    inference(avatar_split_clause,[],[f2822,f2816,f1052]) ).

tff(f1052,plain,
    ( spl27_49
  <=> sort1(map(int,sF13),sF14) ),
    introduced(avatar_definition,[new_symbols(naming,[spl27_49])]) ).

tff(f2822,plain,
    ( sort1(map(int,sF13),sF14)
    | ~ spl27_70 ),
    inference(superposition,[],[f392,f2817]) ).

tff(f2817,plain,
    ( ( elts(sF13,sF15) = sF14 )
    | ~ spl27_70 ),
    inference(avatar_component_clause,[],[f2816]) ).

tff(f2818,plain,
    ( ~ spl27_49
    | spl27_70
    | ~ spl27_66 ),
    inference(avatar_split_clause,[],[f2781,f2774,f2816,f1052]) ).

tff(f2774,plain,
    ( spl27_66
  <=> ( sF15 = mk_array1(sF13,1,sF14) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl27_66])]) ).

tff(f2781,plain,
    ( ( elts(sF13,sF15) = sF14 )
    | ~ sort1(map(int,sF13),sF14)
    | ~ spl27_66 ),
    inference(superposition,[],[f402,f2775]) ).

tff(f2775,plain,
    ( ( sF15 = mk_array1(sF13,1,sF14) )
    | ~ spl27_66 ),
    inference(avatar_component_clause,[],[f2774]) ).

tff(f2799,plain,
    ( spl27_69
    | ~ spl27_65 ),
    inference(avatar_split_clause,[],[f2772,f2768,f2797]) ).

tff(f2797,plain,
    ( spl27_69
  <=> ( sF26 = mk_array1(sF13,1,elts(sF13,sF26)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl27_69])]) ).

tff(f2772,plain,
    ( ( sF26 = mk_array1(sF13,1,elts(sF13,sF26)) )
    | ~ spl27_65 ),
    inference(superposition,[],[f317,f2769]) ).

tff(f2795,plain,
    ( spl27_68
    | ~ spl27_64 ),
    inference(avatar_split_clause,[],[f2771,f2764,f2793]) ).

tff(f2793,plain,
    ( spl27_68
  <=> ( mk_array1(sF13,1,elts(sF13,sF15)) = sF15 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl27_68])]) ).

tff(f2764,plain,
    ( spl27_64
  <=> ( 1 = length1(sF13,sF15) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl27_64])]) ).

tff(f2771,plain,
    ( ( mk_array1(sF13,1,elts(sF13,sF15)) = sF15 )
    | ~ spl27_64 ),
    inference(superposition,[],[f317,f2765]) ).

tff(f2765,plain,
    ( ( 1 = length1(sF13,sF15) )
    | ~ spl27_64 ),
    inference(avatar_component_clause,[],[f2764]) ).

tff(f2780,plain,
    ( spl27_67
    | ~ spl27_33
    | ~ spl27_48 ),
    inference(avatar_split_clause,[],[f2723,f908,f624,f2778]) ).

tff(f2723,plain,
    ( ( mk_array1(sF13,1,sF23) = sF26 )
    | ~ spl27_33
    | ~ spl27_48 ),
    inference(backward_demodulation,[],[f625,f909]) ).

tff(f2776,plain,
    ( spl27_66
    | ~ spl27_31
    | ~ spl27_48 ),
    inference(avatar_split_clause,[],[f2722,f908,f616,f2774]) ).

tff(f2722,plain,
    ( ( sF15 = mk_array1(sF13,1,sF14) )
    | ~ spl27_31
    | ~ spl27_48 ),
    inference(backward_demodulation,[],[f617,f909]) ).

tff(f2770,plain,
    ( spl27_65
    | ~ spl27_44
    | ~ spl27_48 ),
    inference(avatar_split_clause,[],[f2728,f908,f787,f2768]) ).

tff(f2728,plain,
    ( ( 1 = length1(sF13,sF26) )
    | ~ spl27_44
    | ~ spl27_48 ),
    inference(backward_demodulation,[],[f788,f909]) ).

tff(f2766,plain,
    ( spl27_64
    | ~ spl27_43
    | ~ spl27_48 ),
    inference(avatar_split_clause,[],[f2727,f908,f783,f2764]) ).

tff(f2727,plain,
    ( ( 1 = length1(sF13,sF15) )
    | ~ spl27_43
    | ~ spl27_48 ),
    inference(backward_demodulation,[],[f784,f909]) ).

tff(f2762,plain,
    ( spl27_63
    | ~ spl27_34
    | ~ spl27_48 ),
    inference(avatar_split_clause,[],[f2724,f908,f640,f2760]) ).

tff(f2724,plain,
    ( ( 1 = sF16 )
    | ~ spl27_34
    | ~ spl27_48 ),
    inference(backward_demodulation,[],[f641,f909]) ).

tff(f2718,plain,
    ~ spl27_58,
    inference(avatar_contradiction_clause,[],[f2717]) ).

tff(f2717,plain,
    ( $false
    | ~ spl27_58 ),
    inference(subsumption_resolution,[],[f2712,f2679]) ).

tff(f2679,plain,
    ( ! [X0: $int] : $less(0,X0)
    | ~ spl27_58 ),
    inference(evaluation,[],[f2673]) ).

tff(f2673,plain,
    ( ! [X0: $int] :
        ( $less(0,X0)
        | ( 0 = -1 ) )
    | ~ spl27_58 ),
    inference(resolution,[],[f2425,f369]) ).

tff(f369,plain,
    ! [X0: $int,X1: $int] :
      ( ~ $less(0,mod1(X1,X0))
      | $less(0,X1)
      | ( 0 = X0 ) ),
    inference(cnf_transformation,[],[f288]) ).

tff(f288,plain,
    ! [X0: $int,X1: $int] :
      ( ~ $less(0,mod1(X1,X0))
      | ( 0 = X0 )
      | $less(0,X1) ),
    inference(flattening,[],[f287]) ).

tff(f287,plain,
    ! [X0: $int,X1: $int] :
      ( ~ $less(0,mod1(X1,X0))
      | $less(0,X1)
      | ( 0 = X0 ) ),
    inference(ennf_transformation,[],[f230]) ).

tff(f230,plain,
    ! [X0: $int,X1: $int] :
      ( ( ~ $less(0,X1)
        & ( 0 != X0 ) )
     => ~ $less(0,mod1(X1,X0)) ),
    inference(rectify,[],[f124]) ).

tff(f124,plain,
    ! [X7: $int,X1: $int] :
      ( ( ( 0 != X7 )
        & ~ $less(0,X1) )
     => ~ $less(0,mod1(X1,X7)) ),
    inference(theory_normalization,[],[f18]) ).

tff(f18,axiom,
    ! [X7: $int,X1: $int] :
      ( ( ( 0 != X7 )
        & $lesseq(X1,0) )
     => $lesseq(mod1(X1,X7),0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mod_sign_neg) ).

tff(f2425,plain,
    ( ! [X0: $int] : $less(0,mod1(X0,-1))
    | ~ spl27_58 ),
    inference(evaluation,[],[f2410]) ).

tff(f2410,plain,
    ( ! [X0: $int] :
        ( $less($uminus(0),mod1(X0,-1))
        | ( 0 = -1 ) )
    | ~ spl27_58 ),
    inference(superposition,[],[f307,f2390]) ).

tff(f2390,plain,
    ( ( 0 = abs1(-1) )
    | ~ spl27_58 ),
    inference(avatar_component_clause,[],[f2389]) ).

tff(f2389,plain,
    ( spl27_58
  <=> ( 0 = abs1(-1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl27_58])]) ).

tff(f2712,plain,
    ( ! [X25: $int] : ~ $less(0,X25)
    | ~ spl27_58 ),
    inference(evaluation,[],[f2703]) ).

tff(f2703,plain,
    ( ! [X25: $int] :
        ( ~ $less(0,X25)
        | $less(0,0) )
    | ~ spl27_58 ),
    inference(resolution,[],[f2679,f328]) ).

tff(f328,plain,
    ! [X0: $int,X1: $int] :
      ( ~ $less(X1,div1(X1,X0))
      | $less(X1,0)
      | ~ $less(0,X0) ),
    inference(cnf_transformation,[],[f279]) ).

tff(f279,plain,
    ! [X1: $int,X0: $int] :
      ( ~ $less(0,X0)
      | ( ~ $less(div1(X1,X0),0)
        & ~ $less(X1,div1(X1,X0)) )
      | $less(X1,0) ),
    inference(flattening,[],[f278]) ).

tff(f278,plain,
    ! [X0: $int,X1: $int] :
      ( ( ~ $less(div1(X1,X0),0)
        & ~ $less(X1,div1(X1,X0)) )
      | ~ $less(0,X0)
      | $less(X1,0) ),
    inference(ennf_transformation,[],[f163]) ).

tff(f163,plain,
    ! [X0: $int,X1: $int] :
      ( ( $less(0,X0)
        & ~ $less(X1,0) )
     => ( ~ $less(div1(X1,X0),0)
        & ~ $less(X1,div1(X1,X0)) ) ),
    inference(rectify,[],[f110]) ).

tff(f110,plain,
    ! [X7: $int,X1: $int] :
      ( ( ~ $less(X1,0)
        & $less(0,X7) )
     => ( ~ $less(div1(X1,X7),0)
        & ~ $less(X1,div1(X1,X7)) ) ),
    inference(theory_normalization,[],[f13]) ).

tff(f13,axiom,
    ! [X7: $int,X1: $int] :
      ( ( $lesseq(0,X1)
        & $less(0,X7) )
     => ( $lesseq(0,div1(X1,X7))
        & $lesseq(div1(X1,X7),X1) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',div_bound) ).

tff(f2716,plain,
    ~ spl27_58,
    inference(avatar_contradiction_clause,[],[f2685]) ).

tff(f2685,plain,
    ( $false
    | ~ spl27_58 ),
    inference(resolution,[],[f2679,f131]) ).

tff(f2666,plain,
    ( ~ spl27_62
    | ~ spl27_58 ),
    inference(avatar_split_clause,[],[f2418,f2389,f2664]) ).

tff(f2664,plain,
    ( spl27_62
  <=> $less(abs1(abs1(0)),-1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl27_62])]) ).

tff(f2418,plain,
    ( ~ $less(abs1(abs1(0)),-1)
    | ~ spl27_58 ),
    inference(superposition,[],[f719,f2390]) ).

tff(f2447,plain,
    ( spl27_57
    | ~ spl27_46
    | ~ spl27_47
    | ~ spl27_58 ),
    inference(avatar_split_clause,[],[f2430,f2389,f905,f899,f2281]) ).

tff(f2430,plain,
    ( ! [X0: $int] :
        ( $less(X0,sK3)
        | $less($uminus(X0),0) )
    | ~ spl27_46
    | ~ spl27_47
    | ~ spl27_58 ),
    inference(superposition,[],[f2402,f136]) ).

tff(f2402,plain,
    ( ! [X3: $int] :
        ( $less($uminus(X3),sK3)
        | $less(X3,0) )
    | ~ spl27_46
    | ~ spl27_47
    | ~ spl27_58 ),
    inference(backward_demodulation,[],[f1319,f2390]) ).

tff(f1319,plain,
    ( ! [X3: $int] :
        ( $less($uminus(X3),sK3)
        | $less(X3,abs1(-1)) )
    | ~ spl27_46
    | ~ spl27_47 ),
    inference(evaluation,[],[f1315]) ).

tff(f1315,plain,
    ( ! [X3: $int] :
        ( ( 1 = -1 )
        | $less(X3,abs1(-1))
        | $less($uminus(X3),sK3) )
    | ~ spl27_46
    | ~ spl27_47 ),
    inference(backward_subsumption_demodulation,[],[f947,f1149]) ).

tff(f1149,plain,
    ( ! [X4: $int] :
        ( $less($uminus(X4),sK3)
        | ( 1 = $uminus(X4) )
        | $less(X4,abs1(-1)) )
    | ~ spl27_47 ),
    inference(resolution,[],[f1122,f413]) ).

tff(f1122,plain,
    ( ! [X9: $int] :
        ( $less(-1,X9)
        | $less(X9,sK3)
        | ( 1 = X9 ) )
    | ~ spl27_47 ),
    inference(evaluation,[],[f1116]) ).

tff(f1116,plain,
    ( ! [X9: $int] :
        ( $less(-1,X9)
        | $less(1,0)
        | ( 1 = X9 )
        | $less(X9,sK3) )
    | ~ spl27_47 ),
    inference(resolution,[],[f955,f752]) ).

tff(f955,plain,
    ( ! [X0: $int,X1: $int] :
        ( ~ $less(X1,1)
        | $less(X0,sK3)
        | ( 1 = X0 )
        | $less(X1,X0) )
    | ~ spl27_47 ),
    inference(resolution,[],[f924,f132]) ).

tff(f924,plain,
    ( ! [X0: $int] :
        ( $less(1,X0)
        | ( 1 = X0 )
        | $less(X0,sK3) )
    | ~ spl27_47 ),
    inference(resolution,[],[f916,f133]) ).

tff(f916,plain,
    ( ! [X0: $int] :
        ( ~ $less(X0,1)
        | $less(X0,sK3) )
    | ~ spl27_47 ),
    inference(resolution,[],[f906,f132]) ).

tff(f947,plain,
    ( ! [X3: $int] :
        ( $less($uminus(X3),sK3)
        | $less(X3,abs1(-1))
        | ( -1 = $uminus(X3) ) )
    | ~ spl27_46 ),
    inference(resolution,[],[f920,f413]) ).

tff(f2446,plain,
    ( ~ spl27_61
    | ~ spl27_58 ),
    inference(avatar_split_clause,[],[f2417,f2389,f2444]) ).

tff(f2417,plain,
    ( ~ $less(abs1(0),-1)
    | ~ spl27_58 ),
    inference(superposition,[],[f711,f2390]) ).

tff(f2442,plain,
    ( spl27_57
    | ~ spl27_46
    | ~ spl27_47
    | ~ spl27_58 ),
    inference(avatar_split_clause,[],[f2404,f2389,f905,f899,f2281]) ).

tff(f2404,plain,
    ( ! [X0: $int] :
        ( $less(X0,sK3)
        | $less($uminus(X0),0) )
    | ~ spl27_46
    | ~ spl27_47
    | ~ spl27_58 ),
    inference(backward_demodulation,[],[f1321,f2390]) ).

tff(f1321,plain,
    ( ! [X0: $int] :
        ( $less($uminus(X0),abs1(-1))
        | $less(X0,sK3) )
    | ~ spl27_46
    | ~ spl27_47 ),
    inference(superposition,[],[f1319,f136]) ).

tff(f2397,plain,
    ( spl27_58
    | spl27_59
    | spl27_60
    | ~ spl27_3
    | ~ spl27_46
    | ~ spl27_47 ),
    inference(avatar_split_clause,[],[f1649,f905,f899,f469,f2395,f2392,f2389]) ).

tff(f2392,plain,
    ( spl27_59
  <=> ! [X36: $int,X35: $int] :
        ( $less(-1,X35)
        | $less(X35,sK3)
        | $less(X36,sK3)
        | ( -1 = X36 )
        | $less($uminus(X35),X36) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl27_59])]) ).

tff(f1649,plain,
    ( ! [X36: $int,X35: $int] :
        ( $less(abs1(-1),sK3)
        | $less(-1,X35)
        | ( 0 = abs1(-1) )
        | $less($uminus(X35),X36)
        | ( -1 = X36 )
        | $less(X36,sK3)
        | $less(X35,sK3) )
    | ~ spl27_3
    | ~ spl27_46
    | ~ spl27_47 ),
    inference(duplicate_literal_removal,[],[f1642]) ).

tff(f1642,plain,
    ( ! [X36: $int,X35: $int] :
        ( $less($uminus(X35),X36)
        | ( 0 = abs1(-1) )
        | $less(-1,X35)
        | ( -1 = X36 )
        | $less(X36,sK3)
        | $less(abs1(-1),sK3)
        | $less(X35,sK3)
        | $less(-1,X35) )
    | ~ spl27_3
    | ~ spl27_46
    | ~ spl27_47 ),
    inference(resolution,[],[f1542,f945]) ).

tff(f945,plain,
    ( ! [X2: $int,X1: $int] :
        ( ~ $less(X2,-1)
        | $less(X1,sK3)
        | ( -1 = X1 )
        | $less(X2,X1) )
    | ~ spl27_46 ),
    inference(resolution,[],[f920,f132]) ).

tff(f1542,plain,
    ( ! [X10: $int,X9: $int] :
        ( $less($uminus(X10),X9)
        | ( 0 = abs1(X9) )
        | $less(X9,X10)
        | $less(abs1(X9),sK3)
        | $less(X10,sK3)
        | $less(-1,X10) )
    | ~ spl27_3
    | ~ spl27_46
    | ~ spl27_47 ),
    inference(evaluation,[],[f1525]) ).

tff(f1525,plain,
    ( ! [X10: $int,X9: $int] :
        ( $less(-1,X10)
        | $less(X10,sK3)
        | ( 0 = abs1(X9) )
        | $less($uminus(X10),X9)
        | $less(abs1(X9),sK3)
        | $less(X9,$uminus($uminus(X10))) )
    | ~ spl27_3
    | ~ spl27_46
    | ~ spl27_47 ),
    inference(resolution,[],[f1515,f414]) ).

tff(f1515,plain,
    ( ! [X4: $int,X5: $int] :
        ( $less($uminus(X4),X5)
        | $less(X5,sK3)
        | $less(-1,X4)
        | ( 0 = X5 )
        | $less(X4,sK3) )
    | ~ spl27_3
    | ~ spl27_46
    | ~ spl27_47 ),
    inference(resolution,[],[f1507,f976]) ).

tff(f976,plain,
    ( ! [X2: $int,X1: $int] :
        ( ~ $less(X2,-1)
        | $less(X1,sK3)
        | $less(X2,X1)
        | ( 0 = X1 ) )
    | ~ spl27_3 ),
    inference(resolution,[],[f973,f132]) ).

tff(f1507,plain,
    ( ! [X14: $int] :
        ( $less($uminus(X14),-1)
        | $less(-1,X14)
        | $less(X14,sK3) )
    | ~ spl27_46
    | ~ spl27_47 ),
    inference(evaluation,[],[f1484]) ).

tff(f1484,plain,
    ( ! [X14: $int] :
        ( $less(X14,sK3)
        | $less($uminus(X14),-1)
        | $less(-1,$uminus($uminus(X14))) )
    | ~ spl27_46
    | ~ spl27_47 ),
    inference(resolution,[],[f414,f1321]) ).

tff(f2283,plain,
    ( spl27_56
    | spl27_57
    | ~ spl27_46
    | ~ spl27_47 ),
    inference(avatar_split_clause,[],[f1392,f905,f899,f2281,f2278]) ).

tff(f2278,plain,
    ( spl27_56
  <=> $less(-1,abs1(-1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl27_56])]) ).

tff(f1392,plain,
    ( ! [X11: $int] :
        ( $less(X11,sK3)
        | $less($uminus(X11),0)
        | $less(-1,abs1(-1)) )
    | ~ spl27_46
    | ~ spl27_47 ),
    inference(resolution,[],[f1334,f752]) ).

tff(f1334,plain,
    ( ! [X0: $int,X1: $int] :
        ( ~ $less(X1,$uminus(X0))
        | $less(X1,abs1(-1))
        | $less(X0,sK3) )
    | ~ spl27_46
    | ~ spl27_47 ),
    inference(resolution,[],[f1321,f132]) ).

tff(f1405,plain,
    ( spl27_54
    | spl27_55
    | ~ spl27_46
    | ~ spl27_47 ),
    inference(avatar_split_clause,[],[f1386,f905,f899,f1403,f1400]) ).

tff(f1403,plain,
    ( spl27_55
  <=> $less(0,abs1(-1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl27_55])]) ).

tff(f1386,plain,
    ( ! [X4: $int] :
        ( $less(0,abs1(-1))
        | $less($uminus(X4),1)
        | $less(X4,sK3) )
    | ~ spl27_46
    | ~ spl27_47 ),
    inference(resolution,[],[f1334,f727]) ).

tff(f1360,plain,
    ( ~ spl27_53
    | ~ spl27_10
    | ~ spl27_12
    | ~ spl27_17
    | spl27_20
    | ~ spl27_40 ),
    inference(avatar_split_clause,[],[f1351,f761,f545,f529,f509,f500,f1358]) ).

tff(f509,plain,
    ( spl27_12
  <=> ( sK7 = tb2t3(sF19) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl27_12])]) ).

tff(f529,plain,
    ( spl27_17
  <=> ( sF25 = t2tb3(sK7) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl27_17])]) ).

tff(f545,plain,
    ( spl27_20
  <=> good_data1(a,sK10,sF24,sF25,sF26) ),
    introduced(avatar_definition,[new_symbols(naming,[spl27_20])]) ).

tff(f761,plain,
    ( spl27_40
  <=> sort1(map(key,sF17),sF19) ),
    introduced(avatar_definition,[new_symbols(naming,[spl27_40])]) ).

tff(f1351,plain,
    ( ~ good_data1(a,sK10,sF24,sF19,sF26)
    | ~ spl27_10
    | ~ spl27_12
    | ~ spl27_17
    | spl27_20
    | ~ spl27_40 ),
    inference(backward_demodulation,[],[f546,f1327]) ).

tff(f1327,plain,
    ( ( sF25 = sF19 )
    | ~ spl27_10
    | ~ spl27_12
    | ~ spl27_17
    | ~ spl27_40 ),
    inference(backward_demodulation,[],[f530,f1313]) ).

tff(f1313,plain,
    ( ( t2tb3(sK7) = sF19 )
    | ~ spl27_10
    | ~ spl27_12
    | ~ spl27_40 ),
    inference(forward_demodulation,[],[f1299,f510]) ).

tff(f510,plain,
    ( ( sK7 = tb2t3(sF19) )
    | ~ spl27_12 ),
    inference(avatar_component_clause,[],[f509]) ).

tff(f1299,plain,
    ( ( t2tb3(tb2t3(sF19)) = sF19 )
    | ~ spl27_10
    | ~ spl27_40 ),
    inference(resolution,[],[f1278,f762]) ).

tff(f762,plain,
    ( sort1(map(key,sF17),sF19)
    | ~ spl27_40 ),
    inference(avatar_component_clause,[],[f761]) ).

tff(f530,plain,
    ( ( sF25 = t2tb3(sK7) )
    | ~ spl27_17 ),
    inference(avatar_component_clause,[],[f529]) ).

tff(f546,plain,
    ( ~ good_data1(a,sK10,sF24,sF25,sF26)
    | spl27_20 ),
    inference(avatar_component_clause,[],[f545]) ).

tff(f1356,plain,
    ( spl27_52
    | ~ spl27_10
    | ~ spl27_12
    | ~ spl27_17
    | ~ spl27_40 ),
    inference(avatar_split_clause,[],[f1327,f761,f529,f509,f500,f1354]) ).

tff(f1331,plain,
    ( spl27_51
    | ~ spl27_10
    | ~ spl27_12
    | ~ spl27_40 ),
    inference(avatar_split_clause,[],[f1313,f761,f509,f500,f1329]) ).

tff(f1329,plain,
    ( spl27_51
  <=> ( t2tb3(sK7) = sF19 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl27_51])]) ).

tff(f1064,plain,
    ( spl27_50
    | ~ spl27_8
    | ~ spl27_15
    | ~ spl27_27 ),
    inference(avatar_split_clause,[],[f1011,f592,f521,f492,f1062]) ).

tff(f521,plain,
    ( spl27_15
  <=> ( t2tb2(sK6) = sF23 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl27_15])]) ).

tff(f1011,plain,
    ( sort1(map(int,sF13),sF23)
    | ~ spl27_8
    | ~ spl27_15
    | ~ spl27_27 ),
    inference(superposition,[],[f1009,f522]) ).

tff(f522,plain,
    ( ( t2tb2(sK6) = sF23 )
    | ~ spl27_15 ),
    inference(avatar_component_clause,[],[f521]) ).

tff(f1054,plain,
    ( spl27_49
    | ~ spl27_8
    | ~ spl27_9
    | ~ spl27_27 ),
    inference(avatar_split_clause,[],[f1010,f592,f496,f492,f1052]) ).

tff(f496,plain,
    ( spl27_9
  <=> ( t2tb2(sK4) = sF14 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl27_9])]) ).

tff(f1010,plain,
    ( sort1(map(int,sF13),sF14)
    | ~ spl27_8
    | ~ spl27_9
    | ~ spl27_27 ),
    inference(superposition,[],[f1009,f497]) ).

tff(f497,plain,
    ( ( t2tb2(sK4) = sF14 )
    | ~ spl27_9 ),
    inference(avatar_component_clause,[],[f496]) ).

tff(f910,plain,
    ( spl27_47
    | spl27_48
    | spl27_45 ),
    inference(avatar_split_clause,[],[f895,f819,f908,f905]) ).

tff(f895,plain,
    ( ( 1 = sK3 )
    | $less(1,sK3)
    | spl27_45 ),
    inference(resolution,[],[f133,f820]) ).

tff(f901,plain,
    ( spl27_46
    | ~ spl27_3 ),
    inference(avatar_split_clause,[],[f881,f469,f899]) ).

tff(f881,plain,
    ( $less(-1,sK3)
    | ~ spl27_3 ),
    inference(evaluation,[],[f880]) ).

tff(f880,plain,
    ( $less(0,0)
    | $less(-1,sK3)
    | ~ spl27_3 ),
    inference(resolution,[],[f872,f752]) ).

tff(f821,plain,
    ( ~ spl27_45
    | ~ spl27_3 ),
    inference(avatar_split_clause,[],[f805,f469,f819]) ).

tff(f805,plain,
    ( ~ $less(sK3,1)
    | ~ spl27_3 ),
    inference(resolution,[],[f740,f470]) ).

tff(f789,plain,
    ( spl27_44
    | ~ spl27_33 ),
    inference(avatar_split_clause,[],[f771,f624,f787]) ).

tff(f771,plain,
    ( ( length1(sF13,sF26) = sK3 )
    | ~ spl27_33 ),
    inference(superposition,[],[f337,f625]) ).

tff(f337,plain,
    ! [X2: ty,X0: $int,X1: uni] : ( length1(X2,mk_array1(X2,X0,X1)) = X0 ),
    inference(cnf_transformation,[],[f156]) ).

tff(f156,plain,
    ! [X2: ty,X1: uni,X0: $int] : ( length1(X2,mk_array1(X2,X0,X1)) = X0 ),
    inference(rectify,[],[f54]) ).

tff(f54,axiom,
    ! [X6: $int,X10: uni,X0: ty] : ( length1(X0,mk_array1(X0,X6,X10)) = X6 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',length_def1) ).

tff(f785,plain,
    ( spl27_43
    | ~ spl27_31 ),
    inference(avatar_split_clause,[],[f770,f616,f783]) ).

tff(f770,plain,
    ( ( sK3 = length1(sF13,sF15) )
    | ~ spl27_31 ),
    inference(superposition,[],[f337,f617]) ).

tff(f779,plain,
    spl27_42,
    inference(avatar_split_clause,[],[f769,f777]) ).

tff(f777,plain,
    ( spl27_42
  <=> $less(-1,abs1(0)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl27_42])]) ).

tff(f769,plain,
    $less(-1,abs1(0)),
    inference(evaluation,[],[f767]) ).

tff(f767,plain,
    $less($uminus(1),abs1(0)),
    inference(superposition,[],[f723,f609]) ).

tff(f775,plain,
    spl27_41,
    inference(avatar_split_clause,[],[f766,f773]) ).

tff(f766,plain,
    $less(0,abs1(1)),
    inference(superposition,[],[f723,f627]) ).

tff(f763,plain,
    ( spl27_40
    | ~ spl27_32 ),
    inference(avatar_split_clause,[],[f759,f620,f761]) ).

tff(f759,plain,
    ( sort1(map(key,sF17),sF19)
    | ~ spl27_32 ),
    inference(superposition,[],[f336,f621]) ).

tff(f336,plain,
    ! [X2: ty,X0: ty,X1: uni] : sort1(map(X2,X0),const(X0,X2,X1)),
    inference(cnf_transformation,[],[f182]) ).

tff(f182,plain,
    ! [X2: ty,X0: ty,X1: uni] : sort1(map(X2,X0),const(X0,X2,X1)),
    inference(rectify,[],[f51]) ).

tff(f51,axiom,
    ! [X12: ty,X1: uni,X0: ty] : sort1(map(X0,X12),const(X12,X0,X1)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',const_sort1) ).

tff(f716,plain,
    ( spl27_39
    | ~ spl27_10
    | ~ spl27_17 ),
    inference(avatar_split_clause,[],[f692,f529,f500,f714]) ).

tff(f714,plain,
    ( spl27_39
  <=> sort1(map(key,sF17),sF25) ),
    introduced(avatar_definition,[new_symbols(naming,[spl27_39])]) ).

tff(f692,plain,
    ( sort1(map(key,sF17),sF25)
    | ~ spl27_10
    | ~ spl27_17 ),
    inference(superposition,[],[f690,f530]) ).

tff(f690,plain,
    ( ! [X0: map_key_lpoption_a1rp] : sort1(map(key,sF17),t2tb3(X0))
    | ~ spl27_10 ),
    inference(forward_demodulation,[],[f326,f501]) ).

tff(f326,plain,
    ! [X0: map_key_lpoption_a1rp] : sort1(map(key,option(a)),t2tb3(X0)),
    inference(cnf_transformation,[],[f177]) ).

tff(f177,plain,
    ! [X0: map_key_lpoption_a1rp] : sort1(map(key,option(a)),t2tb3(X0)),
    inference(rectify,[],[f92]) ).

tff(f92,axiom,
    ! [X1: map_key_lpoption_a1rp] : sort1(map(key,option(a)),t2tb3(X1)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t2tb_sort3) ).

tff(f707,plain,
    ( spl27_38
    | ~ spl27_33 ),
    inference(avatar_split_clause,[],[f698,f624,f705]) ).

tff(f705,plain,
    ( spl27_38
  <=> sort1(array(sF13),sF26) ),
    introduced(avatar_definition,[new_symbols(naming,[spl27_38])]) ).

tff(f698,plain,
    ( sort1(array(sF13),sF26)
    | ~ spl27_33 ),
    inference(superposition,[],[f338,f625]) ).

tff(f338,plain,
    ! [X2: ty,X0: uni,X1: $int] : sort1(array(X2),mk_array1(X2,X1,X0)),
    inference(cnf_transformation,[],[f173]) ).

tff(f173,plain,
    ! [X0: uni,X2: ty,X1: $int] : sort1(array(X2),mk_array1(X2,X1,X0)),
    inference(rectify,[],[f53]) ).

tff(f53,axiom,
    ! [X2: uni,X1: $int,X0: ty] : sort1(array(X0),mk_array1(X0,X1,X2)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mk_array_sort1) ).

tff(f702,plain,
    ( spl27_37
    | ~ spl27_31 ),
    inference(avatar_split_clause,[],[f697,f616,f700]) ).

tff(f700,plain,
    ( spl27_37
  <=> sort1(array(sF13),sF15) ),
    introduced(avatar_definition,[new_symbols(naming,[spl27_37])]) ).

tff(f697,plain,
    ( sort1(array(sF13),sF15)
    | ~ spl27_31 ),
    inference(superposition,[],[f338,f617]) ).

tff(f696,plain,
    ( spl27_36
    | ~ spl27_7
    | ~ spl27_10 ),
    inference(avatar_split_clause,[],[f691,f500,f488,f694]) ).

tff(f694,plain,
    ( spl27_36
  <=> sort1(map(key,sF17),sF11) ),
    introduced(avatar_definition,[new_symbols(naming,[spl27_36])]) ).

tff(f488,plain,
    ( spl27_7
  <=> ( t2tb3(sK2) = sF11 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl27_7])]) ).

tff(f691,plain,
    ( sort1(map(key,sF17),sF11)
    | ~ spl27_7
    | ~ spl27_10 ),
    inference(superposition,[],[f690,f489]) ).

tff(f489,plain,
    ( ( t2tb3(sK2) = sF11 )
    | ~ spl27_7 ),
    inference(avatar_component_clause,[],[f488]) ).

tff(f656,plain,
    ( ~ spl27_20
    | ~ spl27_35
    | spl27_5
    | spl27_2
    | ~ spl27_3
    | ~ spl27_4 ),
    inference(avatar_split_clause,[],[f651,f474,f469,f465,f477,f654,f545]) ).

tff(f477,plain,
    ( spl27_5
  <=> $less(sK3,sF16) ),
    introduced(avatar_definition,[new_symbols(naming,[spl27_5])]) ).

tff(f651,plain,
    ( $less(sK3,sF16)
    | ~ $less(sK8,0)
    | ~ good_data1(a,sK10,sF24,sF25,sF26)
    | spl27_2
    | ~ spl27_3
    | ~ spl27_4 ),
    inference(subsumption_resolution,[],[f650,f475]) ).

tff(f650,plain,
    ( $less(sK3,sF16)
    | ( sK7 != sF20 )
    | ~ $less(sK8,0)
    | ~ good_data1(a,sK10,sF24,sF25,sF26)
    | spl27_2
    | ~ spl27_3 ),
    inference(subsumption_resolution,[],[f649,f466]) ).

tff(f649,plain,
    ( $less(sK3,0)
    | $less(sK3,sF16)
    | ~ good_data1(a,sK10,sF24,sF25,sF26)
    | ( sK7 != sF20 )
    | ~ $less(sK8,0)
    | ~ spl27_3 ),
    inference(subsumption_resolution,[],[f457,f470]) ).

tff(f457,plain,
    ( ~ good_data1(a,sK10,sF24,sF25,sF26)
    | $less(sK3,sF16)
    | ~ $less(0,sK3)
    | $less(sK3,0)
    | ( sK7 != sF20 )
    | ~ $less(sK8,0) ),
    inference(evaluation,[],[f451]) ).

tff(f451,plain,
    ( $less(sK3,sF16)
    | ~ good_data1(a,sK10,sF24,sF25,sF26)
    | ~ $less(0,sK3)
    | ( sK7 != sF20 )
    | ~ $less(sK8,0)
    | $less(0,0)
    | $less(sK3,0) ),
    inference(definition_folding,[],[f357,f450,f445,f432,f431,f449,f448,f441,f440,f439,f438,f437]) ).

tff(f357,plain,
    ( $less(sK3,$sum(0,sK3))
    | $less(0,0)
    | $less(sK3,0)
    | ( tb2t3(const(option(a),key,none(a))) != sK7 )
    | ~ $less(sK8,0)
    | ~ $less(0,sK3)
    | ~ good_data1(a,sK10,t2tb7(sK9),t2tb3(sK7),mk_array1(list(tuple2(key,a)),sK3,t2tb2(sK6))) ),
    inference(cnf_transformation,[],[f268]) ).

tff(f644,plain,
    ( ~ spl27_5
    | ~ spl27_29 ),
    inference(avatar_contradiction_clause,[],[f643]) ).

tff(f643,plain,
    ( $false
    | ~ spl27_5
    | ~ spl27_29 ),
    inference(subsumption_resolution,[],[f638,f131]) ).

tff(f638,plain,
    ( $less(sK3,sK3)
    | ~ spl27_5
    | ~ spl27_29 ),
    inference(backward_demodulation,[],[f478,f631]) ).

tff(f631,plain,
    ( ( sF16 = sK3 )
    | ~ spl27_29 ),
    inference(backward_demodulation,[],[f601,f627]) ).

tff(f601,plain,
    ( ( sF16 = $sum(0,sK3) )
    | ~ spl27_29 ),
    inference(avatar_component_clause,[],[f600]) ).

tff(f600,plain,
    ( spl27_29
  <=> ( sF16 = $sum(0,sK3) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl27_29])]) ).

tff(f478,plain,
    ( $less(sK3,sF16)
    | ~ spl27_5 ),
    inference(avatar_component_clause,[],[f477]) ).

tff(f642,plain,
    ( spl27_34
    | ~ spl27_29 ),
    inference(avatar_split_clause,[],[f631,f600,f640]) ).

tff(f626,plain,
    spl27_33,
    inference(avatar_split_clause,[],[f450,f624]) ).

tff(f622,plain,
    spl27_32,
    inference(avatar_split_clause,[],[f440,f620]) ).

tff(f618,plain,
    spl27_31,
    inference(avatar_split_clause,[],[f434,f616]) ).

tff(f434,plain,
    mk_array1(sF13,sK3,sF14) = sF15,
    introduced(function_definition,[]) ).

tff(f606,plain,
    ( spl27_30
    | ~ spl27_15 ),
    inference(avatar_split_clause,[],[f575,f521,f604]) ).

tff(f604,plain,
    ( spl27_30
  <=> ( tb2t2(sF23) = sK6 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl27_30])]) ).

tff(f575,plain,
    ( ( tb2t2(sF23) = sK6 )
    | ~ spl27_15 ),
    inference(superposition,[],[f385,f522]) ).

tff(f385,plain,
    ! [X0: map_int_lplist_lpkeycm_a1rprp] : ( tb2t2(t2tb2(X0)) = X0 ),
    inference(cnf_transformation,[],[f215]) ).

tff(f215,plain,
    ! [X0: map_int_lplist_lpkeycm_a1rprp] : ( tb2t2(t2tb2(X0)) = X0 ),
    inference(rectify,[],[f90]) ).

tff(f90,axiom,
    ! [X16: map_int_lplist_lpkeycm_a1rprp] : ( tb2t2(t2tb2(X16)) = X16 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',bridgeL2) ).

tff(f602,plain,
    spl27_29,
    inference(avatar_split_clause,[],[f437,f600]) ).

tff(f598,plain,
    ( spl27_28
    | ~ spl27_9 ),
    inference(avatar_split_clause,[],[f574,f496,f596]) ).

tff(f596,plain,
    ( spl27_28
  <=> ( sK4 = tb2t2(sF14) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl27_28])]) ).

tff(f574,plain,
    ( ( sK4 = tb2t2(sF14) )
    | ~ spl27_9 ),
    inference(superposition,[],[f385,f497]) ).

tff(f594,plain,
    spl27_27,
    inference(avatar_split_clause,[],[f431,f592]) ).

tff(f590,plain,
    ( spl27_26
    | ~ spl27_10
    | ~ spl27_11 ),
    inference(avatar_split_clause,[],[f585,f504,f500,f587]) ).

tff(f585,plain,
    ( sort1(sF17,sF18)
    | ~ spl27_10
    | ~ spl27_11 ),
    inference(forward_demodulation,[],[f583,f501]) ).

tff(f583,plain,
    ( sort1(option(a),sF18)
    | ~ spl27_11 ),
    inference(superposition,[],[f417,f505]) ).

tff(f417,plain,
    ! [X0: ty] : sort1(option(X0),none(X0)),
    inference(cnf_transformation,[],[f26]) ).

tff(f26,axiom,
    ! [X0: ty] : sort1(option(X0),none(X0)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',none_sort1) ).

tff(f589,plain,
    ( spl27_26
    | ~ spl27_10
    | ~ spl27_11 ),
    inference(avatar_split_clause,[],[f584,f504,f500,f587]) ).

tff(f584,plain,
    ( sort1(sF17,sF18)
    | ~ spl27_10
    | ~ spl27_11 ),
    inference(forward_demodulation,[],[f582,f505]) ).

tff(f582,plain,
    ( sort1(sF17,none(a))
    | ~ spl27_10 ),
    inference(superposition,[],[f417,f501]) ).

tff(f580,plain,
    ( spl27_25
    | ~ spl27_17 ),
    inference(avatar_split_clause,[],[f565,f529,f578]) ).

tff(f578,plain,
    ( spl27_25
  <=> ( sK7 = tb2t3(sF25) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl27_25])]) ).

tff(f565,plain,
    ( ( sK7 = tb2t3(sF25) )
    | ~ spl27_17 ),
    inference(superposition,[],[f380,f530]) ).

tff(f380,plain,
    ! [X0: map_key_lpoption_a1rp] : ( tb2t3(t2tb3(X0)) = X0 ),
    inference(cnf_transformation,[],[f229]) ).

tff(f229,plain,
    ! [X0: map_key_lpoption_a1rp] : ( tb2t3(t2tb3(X0)) = X0 ),
    inference(rectify,[],[f93]) ).

tff(f93,axiom,
    ! [X16: map_key_lpoption_a1rp] : ( tb2t3(t2tb3(X16)) = X16 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',bridgeL3) ).

tff(f573,plain,
    ( spl27_24
    | ~ spl27_7 ),
    inference(avatar_split_clause,[],[f564,f488,f571]) ).

tff(f571,plain,
    ( spl27_24
  <=> ( tb2t3(sF11) = sK2 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl27_24])]) ).

tff(f564,plain,
    ( ( tb2t3(sF11) = sK2 )
    | ~ spl27_7 ),
    inference(superposition,[],[f380,f489]) ).

tff(f569,plain,
    ( spl27_23
    | ~ spl27_14 ),
    inference(avatar_split_clause,[],[f553,f517,f567]) ).

tff(f517,plain,
    ( spl27_14
  <=> ( sF22 = tb2t6(sF21) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl27_14])]) ).

tff(f553,plain,
    ( ( sF21 = t2tb6(sF22) )
    | ~ spl27_14 ),
    inference(superposition,[],[f345,f518]) ).

tff(f518,plain,
    ( ( sF22 = tb2t6(sF21) )
    | ~ spl27_14 ),
    inference(avatar_component_clause,[],[f517]) ).

tff(f562,plain,
    ( spl27_22
    | ~ spl27_8
    | ~ spl27_13 ),
    inference(avatar_split_clause,[],[f557,f513,f492,f559]) ).

tff(f559,plain,
    ( spl27_22
  <=> sort1(sF13,sF21) ),
    introduced(avatar_definition,[new_symbols(naming,[spl27_22])]) ).

tff(f557,plain,
    ( sort1(sF13,sF21)
    | ~ spl27_8
    | ~ spl27_13 ),
    inference(forward_demodulation,[],[f554,f514]) ).

tff(f554,plain,
    ( sort1(sF13,nil(sF12))
    | ~ spl27_8 ),
    inference(superposition,[],[f351,f493]) ).

tff(f351,plain,
    ! [X0: ty] : sort1(list(X0),nil(X0)),
    inference(cnf_transformation,[],[f35]) ).

tff(f35,axiom,
    ! [X0: ty] : sort1(list(X0),nil(X0)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',nil_sort1) ).

tff(f561,plain,
    ( spl27_22
    | ~ spl27_8
    | ~ spl27_13 ),
    inference(avatar_split_clause,[],[f556,f513,f492,f559]) ).

tff(f556,plain,
    ( sort1(sF13,sF21)
    | ~ spl27_8
    | ~ spl27_13 ),
    inference(forward_demodulation,[],[f555,f493]) ).

tff(f555,plain,
    ( sort1(list(sF12),sF21)
    | ~ spl27_13 ),
    inference(superposition,[],[f351,f514]) ).

tff(f552,plain,
    ( spl27_21
    | ~ spl27_16 ),
    inference(avatar_split_clause,[],[f548,f525,f550]) ).

tff(f550,plain,
    ( spl27_21
  <=> ( sK9 = tb2t7(sF24) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl27_21])]) ).

tff(f525,plain,
    ( spl27_16
  <=> ( t2tb7(sK9) = sF24 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl27_16])]) ).

tff(f548,plain,
    ( ( sK9 = tb2t7(sF24) )
    | ~ spl27_16 ),
    inference(superposition,[],[f323,f526]) ).

tff(f526,plain,
    ( ( t2tb7(sK9) = sF24 )
    | ~ spl27_16 ),
    inference(avatar_component_clause,[],[f525]) ).

tff(f323,plain,
    ! [X0: a1] : ( tb2t7(t2tb7(X0)) = X0 ),
    inference(cnf_transformation,[],[f197]) ).

tff(f197,plain,
    ! [X0: a1] : ( tb2t7(t2tb7(X0)) = X0 ),
    inference(rectify,[],[f105]) ).

tff(f105,axiom,
    ! [X16: a1] : ( tb2t7(t2tb7(X16)) = X16 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',bridgeL7) ).

tff(f547,plain,
    ( spl27_5
    | spl27_19
    | ~ spl27_20
    | spl27_2
    | ~ spl27_3
    | ~ spl27_4 ),
    inference(avatar_split_clause,[],[f540,f474,f469,f465,f545,f542,f477]) ).

tff(f540,plain,
    ( ~ good_data1(a,sK10,sF24,sF25,sF26)
    | $less(sK8,sK3)
    | $less(sK3,sF16)
    | spl27_2
    | ~ spl27_3
    | ~ spl27_4 ),
    inference(subsumption_resolution,[],[f539,f466]) ).

tff(f539,plain,
    ( $less(sK8,sK3)
    | $less(sK3,sF16)
    | $less(sK3,0)
    | ~ good_data1(a,sK10,sF24,sF25,sF26)
    | ~ spl27_3
    | ~ spl27_4 ),
    inference(subsumption_resolution,[],[f538,f475]) ).

tff(f538,plain,
    ( $less(sK8,sK3)
    | ~ good_data1(a,sK10,sF24,sF25,sF26)
    | $less(sK3,sF16)
    | ( sK7 != sF20 )
    | $less(sK3,0)
    | ~ spl27_3 ),
    inference(subsumption_resolution,[],[f454,f470]) ).

tff(f454,plain,
    ( $less(sK8,sK3)
    | ~ $less(0,sK3)
    | $less(sK3,sF16)
    | $less(sK3,0)
    | ~ good_data1(a,sK10,sF24,sF25,sF26)
    | ( sK7 != sF20 ) ),
    inference(evaluation,[],[f453]) ).

tff(f453,plain,
    ( $less(sK3,sF16)
    | $less(sK8,sK3)
    | ~ good_data1(a,sK10,sF24,sF25,sF26)
    | ~ $less(0,sK3)
    | $less(0,0)
    | ( sK7 != sF20 )
    | $less(sK3,0) ),
    inference(definition_folding,[],[f355,f450,f445,f432,f431,f449,f448,f441,f440,f439,f438,f437]) ).

tff(f355,plain,
    ( $less(sK3,$sum(0,sK3))
    | $less(0,0)
    | $less(sK3,0)
    | ( tb2t3(const(option(a),key,none(a))) != sK7 )
    | $less(sK8,sK3)
    | ~ $less(0,sK3)
    | ~ good_data1(a,sK10,t2tb7(sK9),t2tb3(sK7),mk_array1(list(tuple2(key,a)),sK3,t2tb2(sK6))) ),
    inference(cnf_transformation,[],[f268]) ).

tff(f537,plain,
    ( spl27_18
    | ~ spl27_16 ),
    inference(avatar_split_clause,[],[f532,f525,f535]) ).

tff(f535,plain,
    ( spl27_18
  <=> sort1(a,sF24) ),
    introduced(avatar_definition,[new_symbols(naming,[spl27_18])]) ).

tff(f532,plain,
    ( sort1(a,sF24)
    | ~ spl27_16 ),
    inference(superposition,[],[f408,f526]) ).

tff(f408,plain,
    ! [X0: a1] : sort1(a,t2tb7(X0)),
    inference(cnf_transformation,[],[f207]) ).

tff(f207,plain,
    ! [X0: a1] : sort1(a,t2tb7(X0)),
    inference(rectify,[],[f104]) ).

tff(f104,axiom,
    ! [X1: a1] : sort1(a,t2tb7(X1)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t2tb_sort7) ).

tff(f531,plain,
    spl27_17,
    inference(avatar_split_clause,[],[f449,f529]) ).

tff(f527,plain,
    spl27_16,
    inference(avatar_split_clause,[],[f448,f525]) ).

tff(f523,plain,
    spl27_15,
    inference(avatar_split_clause,[],[f445,f521]) ).

tff(f519,plain,
    spl27_14,
    inference(avatar_split_clause,[],[f444,f517]) ).

tff(f515,plain,
    spl27_13,
    inference(avatar_split_clause,[],[f443,f513]) ).

tff(f511,plain,
    ( spl27_12
    | ~ spl27_4 ),
    inference(avatar_split_clause,[],[f507,f474,f509]) ).

tff(f507,plain,
    ( ( sK7 = tb2t3(sF19) )
    | ~ spl27_4 ),
    inference(forward_demodulation,[],[f441,f475]) ).

tff(f506,plain,
    spl27_11,
    inference(avatar_split_clause,[],[f439,f504]) ).

tff(f502,plain,
    spl27_10,
    inference(avatar_split_clause,[],[f438,f500]) ).

tff(f498,plain,
    spl27_9,
    inference(avatar_split_clause,[],[f433,f496]) ).

tff(f433,plain,
    t2tb2(sK4) = sF14,
    introduced(function_definition,[]) ).

tff(f494,plain,
    spl27_8,
    inference(avatar_split_clause,[],[f432,f492]) ).

tff(f490,plain,
    spl27_7,
    inference(avatar_split_clause,[],[f430,f488]) ).

tff(f430,plain,
    t2tb3(sK2) = sF11,
    introduced(function_definition,[]) ).

tff(f483,plain,
    ~ spl27_6,
    inference(avatar_split_clause,[],[f386,f481]) ).

tff(f481,plain,
    ( spl27_6
  <=> ( true1 = false1 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl27_6])]) ).

tff(f386,plain,
    true1 != false1,
    inference(cnf_transformation,[],[f5]) ).

tff(f5,axiom,
    true1 != false1,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',true_False) ).

tff(f479,plain,
    ( spl27_4
    | spl27_5
    | spl27_2 ),
    inference(avatar_split_clause,[],[f472,f465,f477,f474]) ).

tff(f472,plain,
    ( $less(sK3,sF16)
    | ( sK7 = sF20 )
    | spl27_2 ),
    inference(subsumption_resolution,[],[f458,f466]) ).

tff(f458,plain,
    ( ( sK7 = sF20 )
    | $less(sK3,sF16)
    | $less(sK3,0) ),
    inference(evaluation,[],[f442]) ).

tff(f442,plain,
    ( ( sK7 = sF20 )
    | $less(0,0)
    | $less(sK3,sF16)
    | $less(sK3,0) ),
    inference(definition_folding,[],[f360,f441,f440,f439,f438,f437]) ).

tff(f360,plain,
    ( $less(sK3,$sum(0,sK3))
    | $less(sK3,0)
    | $less(0,0)
    | ( tb2t3(const(option(a),key,none(a))) = sK7 ) ),
    inference(cnf_transformation,[],[f268]) ).

tff(f471,plain,
    spl27_3,
    inference(avatar_split_clause,[],[f365,f469]) ).

tff(f365,plain,
    $less(0,sK3),
    inference(cnf_transformation,[],[f268]) ).

tff(f467,plain,
    ~ spl27_2,
    inference(avatar_split_clause,[],[f363,f465]) ).

tff(f363,plain,
    ~ $less(sK3,0),
    inference(cnf_transformation,[],[f268]) ).

tff(f463,plain,
    spl27_1,
    inference(avatar_split_clause,[],[f362,f461]) ).

tff(f461,plain,
    ( spl27_1
  <=> ( 0 = sK5 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl27_1])]) ).

tff(f362,plain,
    0 = sK5,
    inference(cnf_transformation,[],[f268]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : SWW604=2 : TPTP v8.1.0. Released v6.1.0.
% 0.03/0.13  % 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 : n013.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 20:51:31 EDT 2022
% 0.13/0.34  % CPUTime    : 
% 0.20/0.50  % (29913)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)
% 0.20/0.50  % (29895)ott+1011_1:2_br=off:bs=unit_only:bsr=unit_only:nwc=5.0:s2a=on:s2agt=32:urr=on:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.20/0.50  % (29903)lrs+10_1:1_ep=R:gve=force:plsq=on:plsqr=32,1:uwa=one_side_interpreted:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.20/0.51  % (29903)Instruction limit reached!
% 0.20/0.51  % (29903)------------------------------
% 0.20/0.51  % (29903)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.52  % (29892)lrs+1010_1:1_aac=none:bce=on:nicw=on:nm=0:plsq=on:plsql=on:sac=on:sos=on:sp=frequency:spb=units:to=lpo:i=34:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/34Mi)
% 0.20/0.52  % (29894)ott+21_1:1_erd=off:s2a=on:sac=on:sd=1:sgt=64:sos=on:ss=included:st=3.0:to=lpo:urr=on:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.20/0.52  % (29903)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.52  % (29903)Termination reason: Unknown
% 0.20/0.52  % (29903)Termination phase: Property scanning
% 0.20/0.52  
% 0.20/0.52  % (29903)Memory used [KB]: 1023
% 0.20/0.52  % (29903)Time elapsed: 0.004 s
% 0.20/0.52  % (29903)Instructions burned: 4 (million)
% 0.20/0.52  % (29903)------------------------------
% 0.20/0.52  % (29903)------------------------------
% 0.20/0.53  % (29914)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)
% 0.20/0.53  % (29901)lrs+10_1:1_canc=force:tha=some:to=lpo:i=35:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/35Mi)
% 0.20/0.53  % (29915)lrs+1_1:10_av=off:drc=off:nwc=2.0:sp=reverse_frequency:thsq=on:thsqc=64:thsql=off:i=47:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/47Mi)
% 0.20/0.53  % (29891)dis+1010_1:4_aac=none:abs=on:atotf=0.5:avsq=on:avsqc=2:avsqr=215,247:awrs=converge:awrsf=128:bsd=on:erd=off:fde=none:gve=cautious:newcnf=on:nwc=5.0:rnwc=on:sac=on:sas=z3:sp=const_min:tgt=ground:thsq=on:thsqc=64:thsqr=1,4:i=59848:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59848Mi)
% 0.20/0.53  % (29916)lrs+1002_1:1_br=off:canc=force:drc=off:s2a=on:sos=on:sp=reverse_frequency:urr=on:i=42:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/42Mi)
% 0.20/0.53  % (29917)lrs+1_3:1_ep=RSTC:sos=on:urr=on:i=43:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/43Mi)
% 0.20/0.53  % (29918)dis+10_1:64_nwc=1.4:tha=off:i=21:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/21Mi)
% 0.20/0.53  % (29906)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)
% 0.20/0.53  % (29906)Instruction limit reached!
% 0.20/0.53  % (29906)------------------------------
% 0.20/0.53  % (29906)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53  % (29906)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53  % (29906)Termination reason: Unknown
% 0.20/0.53  % (29906)Termination phase: Including theory axioms
% 0.20/0.53  
% 0.20/0.53  % (29906)Memory used [KB]: 1023
% 0.20/0.53  % (29906)Time elapsed: 0.002 s
% 0.20/0.53  % (29906)Instructions burned: 3 (million)
% 0.20/0.53  % (29906)------------------------------
% 0.20/0.53  % (29906)------------------------------
% 0.20/0.53  % (29893)dis+1011_1:64_drc=off:flr=on:nwc=2.0:sac=on:urr=ec_only:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/8Mi)
% 0.20/0.53  % (29894)Instruction limit reached!
% 0.20/0.53  % (29894)------------------------------
% 0.20/0.53  % (29894)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53  % (29894)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53  % (29894)Termination reason: Unknown
% 0.20/0.53  % (29894)Termination phase: Property scanning
% 0.20/0.53  
% 0.20/0.53  % (29894)Memory used [KB]: 1023
% 0.20/0.53  % (29894)Time elapsed: 0.003 s
% 0.20/0.53  % (29894)Instructions burned: 3 (million)
% 0.20/0.53  % (29894)------------------------------
% 0.20/0.53  % (29894)------------------------------
% 0.20/0.53  % (29896)lrs+10_1:32_s2a=on:s2agt=10:sgt=8:ss=axioms:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/15Mi)
% 0.20/0.54  % (29897)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)
% 0.20/0.54  % (29908)dis+21_1:1_aac=none:abs=on:er=known:fde=none:fsr=off:nwc=5.0:s2a=on:s2at=4.0:sp=const_frequency:to=lpo:urr=ec_only:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/49Mi)
% 0.20/0.54  % (29893)Instruction limit reached!
% 0.20/0.54  % (29893)------------------------------
% 0.20/0.54  % (29893)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54  % (29909)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)
% 0.20/0.54  % (29920)dis+20_1:12_aac=none:acc=model:awrs=converge:fd=preordered:fsr=off:nicw=on:nwc=3.0:s2a=on:s2agt=16:spb=goal:to=lpo:i=41:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/41Mi)
% 0.20/0.54  % (29911)dis+1002_1:5_av=off:nwc=2.0:sos=all:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/15Mi)
% 0.20/0.54  % (29912)dis+10_1:64_nwc=1.4:rp=on:tha=off:i=21:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/21Mi)
% 0.20/0.54  % (29902)dis+32_1:1_bd=off:nm=4:sos=on:ss=included:i=4:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/4Mi)
% 0.20/0.54  % (29895)Instruction limit reached!
% 0.20/0.54  % (29895)------------------------------
% 0.20/0.54  % (29895)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54  % (29895)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.54  % (29895)Termination reason: Unknown
% 0.20/0.54  % (29895)Termination phase: Saturation
% 0.20/0.54  
% 0.20/0.54  % (29895)Memory used [KB]: 6268
% 0.20/0.54  % (29895)Time elapsed: 0.132 s
% 0.20/0.54  % (29895)Instructions burned: 37 (million)
% 0.20/0.54  % (29895)------------------------------
% 0.20/0.54  % (29895)------------------------------
% 0.20/0.54  % (29902)Instruction limit reached!
% 0.20/0.54  % (29902)------------------------------
% 0.20/0.54  % (29902)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54  % (29902)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.54  % (29902)Termination reason: Unknown
% 0.20/0.54  % (29902)Termination phase: Property scanning
% 0.20/0.54  
% 0.20/0.54  % (29902)Memory used [KB]: 1023
% 0.20/0.54  % (29902)Time elapsed: 0.003 s
% 0.20/0.54  % (29902)Instructions burned: 5 (million)
% 0.20/0.54  % (29902)------------------------------
% 0.20/0.54  % (29902)------------------------------
% 0.20/0.54  % (29893)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.54  % (29893)Termination reason: Unknown
% 0.20/0.54  % (29893)Termination phase: Property scanning
% 0.20/0.54  
% 0.20/0.54  % (29893)Memory used [KB]: 1279
% 0.20/0.54  % (29893)Time elapsed: 0.005 s
% 0.20/0.54  % (29893)Instructions burned: 9 (million)
% 0.20/0.54  % (29893)------------------------------
% 0.20/0.54  % (29893)------------------------------
% 0.20/0.54  % (29910)lrs+10_1:1_sd=10:sos=all:ss=axioms:st=5.0:tha=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.20/0.54  % (29898)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)
% 0.20/0.55  % (29910)Instruction limit reached!
% 0.20/0.55  % (29910)------------------------------
% 0.20/0.55  % (29910)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.55  % (29910)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.55  % (29910)Termination reason: Unknown
% 0.20/0.55  % (29910)Termination phase: Property scanning
% 0.20/0.55  
% 0.20/0.55  % (29910)Memory used [KB]: 1023
% 0.20/0.55  % (29910)Time elapsed: 0.002 s
% 0.20/0.55  % (29910)Instructions burned: 3 (million)
% 0.20/0.55  % (29910)------------------------------
% 0.20/0.55  % (29910)------------------------------
% 0.20/0.55  % (29905)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)
% 0.20/0.55  % (29899)lrs+1010_1:1_ep=RST:s2a=on:s2at=5.0:sos=all:i=26:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/26Mi)
% 0.20/0.55  % (29900)lrs+10_1:8_ep=R:erd=off:fs=off:fsr=off:gve=force:nwc=2.0:uwa=one_side_interpreted:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.20/0.55  % (29907)lrs+10_1:1_ev=force:gve=cautious:tha=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.20/0.55  % (29900)Instruction limit reached!
% 0.20/0.55  % (29900)------------------------------
% 0.20/0.55  % (29900)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.55  % (29900)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.55  % (29900)Termination reason: Unknown
% 0.20/0.55  % (29900)Termination phase: Property scanning
% 0.20/0.55  
% 0.20/0.55  % (29900)Memory used [KB]: 1023
% 0.20/0.55  % (29900)Time elapsed: 0.002 s
% 0.20/0.55  % (29900)Instructions burned: 2 (million)
% 0.20/0.55  % (29900)------------------------------
% 0.20/0.55  % (29900)------------------------------
% 0.20/0.55  % (29904)dis+10_1:64_nwc=1.4:tha=off:i=21:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/21Mi)
% 0.20/0.55  % (29907)Instruction limit reached!
% 0.20/0.55  % (29907)------------------------------
% 0.20/0.55  % (29907)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.55  % (29907)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.55  % (29907)Termination reason: Unknown
% 0.20/0.55  % (29907)Termination phase: Property scanning
% 0.20/0.55  
% 0.20/0.55  % (29907)Memory used [KB]: 1023
% 0.20/0.55  % (29907)Time elapsed: 0.003 s
% 0.20/0.55  % (29907)Instructions burned: 3 (million)
% 0.20/0.55  % (29907)------------------------------
% 0.20/0.55  % (29907)------------------------------
% 1.61/0.55  % (29919)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)
% 1.61/0.56  % (29909)Instruction limit reached!
% 1.61/0.56  % (29909)------------------------------
% 1.61/0.56  % (29909)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.61/0.56  % (29909)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.61/0.56  % (29909)Termination reason: Unknown
% 1.61/0.56  % (29909)Termination phase: Saturation
% 1.61/0.56  
% 1.61/0.56  % (29909)Memory used [KB]: 5884
% 1.61/0.56  % (29909)Time elapsed: 0.166 s
% 1.61/0.56  % (29909)Instructions burned: 16 (million)
% 1.61/0.56  % (29909)------------------------------
% 1.61/0.56  % (29909)------------------------------
% 1.61/0.57  % (29896)Instruction limit reached!
% 1.61/0.57  % (29896)------------------------------
% 1.61/0.57  % (29896)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.61/0.57  % (29896)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.61/0.57  % (29896)Termination reason: Unknown
% 1.61/0.57  % (29896)Termination phase: Saturation
% 1.61/0.57  
% 1.61/0.57  % (29896)Memory used [KB]: 5884
% 1.61/0.57  % (29896)Time elapsed: 0.009 s
% 1.61/0.57  % (29896)Instructions burned: 16 (million)
% 1.61/0.57  % (29896)------------------------------
% 1.61/0.57  % (29896)------------------------------
% 1.61/0.57  % (29911)Instruction limit reached!
% 1.61/0.57  % (29911)------------------------------
% 1.61/0.57  % (29911)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.61/0.57  % (29913)Instruction limit reached!
% 1.61/0.57  % (29913)------------------------------
% 1.61/0.57  % (29913)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.61/0.57  % (29904)Instruction limit reached!
% 1.61/0.57  % (29904)------------------------------
% 1.61/0.57  % (29904)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.61/0.57  % (29918)Instruction limit reached!
% 1.61/0.57  % (29918)------------------------------
% 1.61/0.57  % (29918)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.61/0.57  % (29904)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.61/0.57  % (29904)Termination reason: Unknown
% 1.61/0.57  % (29904)Termination phase: Saturation
% 1.75/0.57  
% 1.75/0.57  % (29904)Memory used [KB]: 6012
% 1.75/0.57  % (29904)Time elapsed: 0.161 s
% 1.75/0.57  % (29904)Instructions burned: 21 (million)
% 1.75/0.57  % (29904)------------------------------
% 1.75/0.57  % (29904)------------------------------
% 1.75/0.57  % (29918)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.75/0.57  % (29918)Termination reason: Unknown
% 1.75/0.57  % (29918)Termination phase: Saturation
% 1.75/0.57  
% 1.75/0.57  % (29918)Memory used [KB]: 6012
% 1.75/0.57  % (29918)Time elapsed: 0.168 s
% 1.75/0.57  % (29918)Instructions burned: 21 (million)
% 1.75/0.57  % (29918)------------------------------
% 1.75/0.57  % (29918)------------------------------
% 1.75/0.58  % (29913)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.75/0.58  % (29913)Termination reason: Unknown
% 1.75/0.58  % (29913)Termination phase: Saturation
% 1.75/0.58  
% 1.75/0.58  % (29913)Memory used [KB]: 1791
% 1.75/0.58  % (29913)Time elapsed: 0.162 s
% 1.75/0.58  % (29913)Instructions burned: 46 (million)
% 1.75/0.58  % (29913)------------------------------
% 1.75/0.58  % (29913)------------------------------
% 1.75/0.58  % (29899)Instruction limit reached!
% 1.75/0.58  % (29899)------------------------------
% 1.75/0.58  % (29899)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.75/0.58  % (29899)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.75/0.58  % (29899)Termination reason: Unknown
% 1.75/0.58  % (29899)Termination phase: Saturation
% 1.75/0.58  
% 1.75/0.58  % (29899)Memory used [KB]: 6140
% 1.75/0.58  % (29899)Time elapsed: 0.178 s
% 1.75/0.58  % (29899)Instructions burned: 27 (million)
% 1.75/0.58  % (29899)------------------------------
% 1.75/0.58  % (29899)------------------------------
% 1.75/0.58  % (29911)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.75/0.58  % (29911)Termination reason: Unknown
% 1.75/0.58  % (29911)Termination phase: Saturation
% 1.75/0.58  
% 1.75/0.58  % (29911)Memory used [KB]: 1535
% 1.75/0.58  % (29911)Time elapsed: 0.009 s
% 1.75/0.58  % (29911)Instructions burned: 17 (million)
% 1.75/0.58  % (29911)------------------------------
% 1.75/0.58  % (29911)------------------------------
% 1.75/0.58  % (29919)Instruction limit reached!
% 1.75/0.58  % (29919)------------------------------
% 1.75/0.58  % (29919)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.75/0.58  % (29919)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.75/0.58  % (29919)Termination reason: Unknown
% 1.75/0.58  % (29919)Termination phase: Saturation
% 1.75/0.58  
% 1.75/0.58  % (29919)Memory used [KB]: 6012
% 1.75/0.58  % (29919)Time elapsed: 0.167 s
% 1.75/0.58  % (29919)Instructions burned: 22 (million)
% 1.75/0.58  % (29919)------------------------------
% 1.75/0.58  % (29919)------------------------------
% 1.75/0.59  % (29897)Instruction limit reached!
% 1.75/0.59  % (29897)------------------------------
% 1.75/0.59  % (29897)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.75/0.59  % (29897)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.75/0.59  % (29897)Termination reason: Unknown
% 1.75/0.59  % (29897)Termination phase: Saturation
% 1.75/0.59  
% 1.75/0.59  % (29897)Memory used [KB]: 6140
% 1.75/0.59  % (29897)Time elapsed: 0.170 s
% 1.75/0.59  % (29897)Instructions burned: 34 (million)
% 1.75/0.59  % (29897)------------------------------
% 1.75/0.59  % (29897)------------------------------
% 1.75/0.59  % (29912)Instruction limit reached!
% 1.75/0.59  % (29912)------------------------------
% 1.75/0.59  % (29912)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.75/0.59  % (29912)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.75/0.59  % (29912)Termination reason: Unknown
% 1.75/0.59  % (29912)Termination phase: Saturation
% 1.75/0.59  
% 1.75/0.59  % (29912)Memory used [KB]: 5884
% 1.75/0.59  % (29912)Time elapsed: 0.166 s
% 1.75/0.59  % (29912)Instructions burned: 22 (million)
% 1.75/0.59  % (29912)------------------------------
% 1.75/0.59  % (29912)------------------------------
% 1.75/0.59  % (29892)Instruction limit reached!
% 1.75/0.59  % (29892)------------------------------
% 1.75/0.59  % (29892)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.75/0.59  % (29892)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.75/0.59  % (29892)Termination reason: Unknown
% 1.75/0.59  % (29892)Termination phase: Saturation
% 1.75/0.59  
% 1.75/0.59  % (29892)Memory used [KB]: 6140
% 1.75/0.59  % (29892)Time elapsed: 0.189 s
% 1.75/0.59  % (29892)Instructions burned: 35 (million)
% 1.75/0.59  % (29892)------------------------------
% 1.75/0.59  % (29892)------------------------------
% 1.75/0.59  % (29916)Instruction limit reached!
% 1.75/0.59  % (29916)------------------------------
% 1.75/0.59  % (29916)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.75/0.60  % (29901)Instruction limit reached!
% 1.75/0.60  % (29901)------------------------------
% 1.75/0.60  % (29901)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.75/0.60  % (29915)Instruction limit reached!
% 1.75/0.60  % (29915)------------------------------
% 1.75/0.60  % (29915)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.75/0.60  % (29915)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.75/0.60  % (29901)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.75/0.60  % (29915)Termination reason: Unknown
% 1.75/0.60  % (29901)Termination reason: Unknown
% 1.75/0.60  % (29915)Termination phase: Saturation
% 1.75/0.60  % (29901)Termination phase: Saturation
% 1.75/0.60  
% 1.75/0.60  
% 1.75/0.60  % (29915)Memory used [KB]: 1791
% 1.75/0.60  % (29901)Memory used [KB]: 6268
% 1.75/0.60  % (29915)Time elapsed: 0.180 s
% 1.75/0.60  % (29901)Time elapsed: 0.181 s
% 1.75/0.60  % (29915)Instructions burned: 47 (million)
% 1.75/0.60  % (29901)Instructions burned: 35 (million)
% 1.75/0.60  % (29915)------------------------------
% 1.75/0.60  % (29915)------------------------------
% 1.75/0.60  % (29901)------------------------------
% 1.75/0.60  % (29901)------------------------------
% 1.75/0.60  % (29916)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.75/0.60  % (29916)Termination reason: Unknown
% 1.75/0.60  % (29916)Termination phase: Saturation
% 1.75/0.60  
% 1.75/0.60  % (29916)Memory used [KB]: 6396
% 1.75/0.60  % (29916)Time elapsed: 0.193 s
% 1.75/0.60  % (29916)Instructions burned: 42 (million)
% 1.75/0.60  % (29916)------------------------------
% 1.75/0.60  % (29916)------------------------------
% 1.75/0.60  % (29898)Instruction limit reached!
% 1.75/0.60  % (29898)------------------------------
% 1.75/0.60  % (29898)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.75/0.60  % (29898)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.75/0.60  % (29898)Termination reason: Unknown
% 1.75/0.60  % (29898)Termination phase: Saturation
% 1.75/0.60  
% 1.75/0.60  % (29898)Memory used [KB]: 6140
% 1.75/0.60  % (29898)Time elapsed: 0.201 s
% 1.75/0.60  % (29898)Instructions burned: 37 (million)
% 1.75/0.60  % (29898)------------------------------
% 1.75/0.60  % (29898)------------------------------
% 1.75/0.62  % (29914)Instruction limit reached!
% 1.75/0.62  % (29914)------------------------------
% 1.75/0.62  % (29914)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.75/0.62  % (29917)Instruction limit reached!
% 1.75/0.62  % (29917)------------------------------
% 1.75/0.62  % (29917)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.75/0.62  % (29917)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.75/0.62  % (29917)Termination reason: Unknown
% 1.75/0.62  % (29917)Termination phase: Saturation
% 1.75/0.62  
% 1.75/0.62  % (29917)Memory used [KB]: 6780
% 1.75/0.62  % (29917)Time elapsed: 0.194 s
% 1.75/0.62  % (29917)Instructions burned: 45 (million)
% 1.75/0.62  % (29917)------------------------------
% 1.75/0.62  % (29917)------------------------------
% 1.75/0.62  % (29920)Instruction limit reached!
% 1.75/0.62  % (29920)------------------------------
% 1.75/0.62  % (29920)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.75/0.62  % (29920)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.75/0.62  % (29921)lrs+10_1:1_ss=axioms:st=5.0:tha=off:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/15Mi)
% 1.75/0.63  % (29920)Termination reason: Unknown
% 1.75/0.63  % (29920)Termination phase: Saturation
% 1.75/0.63  
% 1.75/0.63  % (29920)Memory used [KB]: 6396
% 1.75/0.63  % (29920)Time elapsed: 0.192 s
% 1.75/0.63  % (29920)Instructions burned: 41 (million)
% 1.75/0.63  % (29920)------------------------------
% 1.75/0.63  % (29920)------------------------------
% 2.03/0.63  % (29908)Instruction limit reached!
% 2.03/0.63  % (29908)------------------------------
% 2.03/0.63  % (29908)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.03/0.63  % (29914)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.03/0.63  % (29914)Termination reason: Unknown
% 2.03/0.63  % (29914)Termination phase: Saturation
% 2.03/0.63  
% 2.03/0.63  % (29914)Memory used [KB]: 6396
% 2.03/0.63  % (29914)Time elapsed: 0.160 s
% 2.03/0.63  % (29914)Instructions burned: 51 (million)
% 2.03/0.63  % (29914)------------------------------
% 2.03/0.63  % (29914)------------------------------
% 2.03/0.63  % (29908)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.03/0.63  % (29908)Termination reason: Unknown
% 2.03/0.63  % (29908)Termination phase: Saturation
% 2.03/0.63  
% 2.03/0.63  % (29908)Memory used [KB]: 6268
% 2.03/0.63  % (29908)Time elapsed: 0.228 s
% 2.03/0.63  % (29908)Instructions burned: 49 (million)
% 2.03/0.63  % (29908)------------------------------
% 2.03/0.63  % (29908)------------------------------
% 2.03/0.64  % (29905)Instruction limit reached!
% 2.03/0.64  % (29905)------------------------------
% 2.03/0.64  % (29905)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.03/0.64  % (29905)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.03/0.64  % (29905)Termination reason: Unknown
% 2.03/0.64  % (29905)Termination phase: Saturation
% 2.03/0.64  
% 2.03/0.64  % (29905)Memory used [KB]: 6908
% 2.03/0.64  % (29905)Time elapsed: 0.221 s
% 2.03/0.64  % (29905)Instructions burned: 51 (million)
% 2.03/0.64  % (29905)------------------------------
% 2.03/0.64  % (29905)------------------------------
% 2.03/0.64  % (29921)Instruction limit reached!
% 2.03/0.64  % (29921)------------------------------
% 2.03/0.64  % (29921)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.03/0.64  % (29921)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.03/0.64  % (29921)Termination reason: Unknown
% 2.03/0.64  % (29921)Termination phase: Saturation
% 2.03/0.64  
% 2.03/0.64  % (29921)Memory used [KB]: 5884
% 2.03/0.64  % (29921)Time elapsed: 0.079 s
% 2.03/0.64  % (29921)Instructions burned: 16 (million)
% 2.03/0.64  % (29921)------------------------------
% 2.03/0.64  % (29921)------------------------------
% 2.03/0.65  % (29926)ott+21_1:1_bd=off:bsr=unit_only:drc=off:fd=preordered:fsr=off:nwc=3.0:sac=on:to=lpo:urr=on:i=76:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/76Mi)
% 2.08/0.66  % (29922)lrs+1_1:1_aac=none:acc=on:add=large:bd=off:bs=unit_only:bsr=on:cond=on:nm=0:sac=on:sd=3:sos=on:ss=axioms:st=2.0:i=47:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/47Mi)
% 2.08/0.67  % (29925)lrs+10_1:1_acc=model:br=off:ins=1:newcnf=on:nwc=5.0:s2a=on:sac=on:sp=frequency:to=lpo:urr=on:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/100Mi)
% 2.08/0.67  % (29930)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)
% 2.08/0.67  % (29927)lrs+22_1:1_amm=sco:fsr=off:gve=force:sos=on:uwa=all:i=58:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/58Mi)
% 2.08/0.68  % (29923)dis+10_1:64_nwc=1.4:rp=on:tha=off:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/25Mi)
% 2.08/0.69  % (29934)lrs+1011_1:1_br=off:fs=off:fsr=off:tha=off:urr=ec_only:i=488:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/488Mi)
% 2.08/0.69  % (29928)lrs+10_1:1_thi=all:thigen=on:i=96:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/96Mi)
% 2.08/0.69  % (29929)lrs+10_1:3_add=large:afr=on:anc=all_dependent:avsq=on:avsqr=21,226:awrs=decay:awrsf=47:br=off:bsd=on:canc=cautious:cond=fast:fd=preordered:fsd=on:fsr=off:gs=on:gve=force:ins=1:lma=on:s2agt=4:s2at=1.9:sas=z3:slsq=on:slsqc=1:slsqr=13,121:sp=reverse_arity:tha=some:to=lpo:uace=off:uhcvi=on:updr=off:urr=ec_only:i=108:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/108Mi)
% 2.08/0.69  % (29924)lrs+1010_1:1_aac=none:bce=on:nicw=on:nm=0:plsq=on:plsql=on:sac=on:sos=on:sp=frequency:spb=units:to=lpo:i=148:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/148Mi)
% 2.08/0.70  % (29923)Instruction limit reached!
% 2.08/0.70  % (29923)------------------------------
% 2.08/0.70  % (29923)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.08/0.70  % (29923)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.08/0.70  % (29923)Termination reason: Unknown
% 2.08/0.70  % (29923)Termination phase: Saturation
% 2.08/0.70  
% 2.08/0.70  % (29923)Memory used [KB]: 6012
% 2.08/0.70  % (29923)Time elapsed: 0.136 s
% 2.08/0.70  % (29923)Instructions burned: 25 (million)
% 2.08/0.70  % (29923)------------------------------
% 2.08/0.70  % (29923)------------------------------
% 2.08/0.70  % (29932)lrs+10_1:1_newcnf=on:sas=z3:tgt=ground:tha=off:i=223:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/223Mi)
% 2.08/0.70  % (29931)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)
% 2.08/0.70  % (29933)lrs+1002_1:1_av=off:br=off:fs=off:fsr=off:tha=off:urr=ec_only:i=343:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/343Mi)
% 2.08/0.71  % (29937)dis+10_1:1_bd=off:fde=unused:gsp=on:ins=1:norm_ineq=on:sas=z3:sos=all:tha=off:i=370:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/370Mi)
% 2.08/0.71  % (29936)lrs+1011_1:1_br=off:fde=none:norm_ineq=on:nwc=10.0:sas=z3:slsq=on:slsqc=2:slsql=off:slsqr=1,4:sp=reverse_frequency:i=160:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/160Mi)
% 2.08/0.71  % (29939)dis+10_1:1_aac=none:abs=on:bce=on:bd=off:bsr=unit_only:drc=off:fd=preordered:fsd=on:gve=cautious:lcm=reverse:nm=16:plsq=on:plsqc=1:plsqr=232,15:sfv=off:slsq=on:slsql=off:slsqr=3,2:sos=on:sp=weighted_frequency:i=81:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/81Mi)
% 2.08/0.71  % (29935)lrs+1010_5:1_aer=off:norm_ineq=on:sas=z3:sos=all:ss=axioms:tha=off:i=150:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/150Mi)
% 2.08/0.71  % (29942)dis+1010_1:1_s2a=on:sp=frequency:to=lpo:i=274:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/274Mi)
% 2.15/0.72  % (29938)lrs+1010_5:1_norm_ineq=on:sas=z3:sos=all:ss=axioms:tha=off:i=493:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/493Mi)
% 2.15/0.72  % (29940)lrs+10_1:1_amm=sco:norm_ineq=on:nwc=3.0:plsq=on:plsqc=2:plsqr=32,1:sas=z3:sp=const_min:tha=off:to=lpo:i=146:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/146Mi)
% 2.15/0.73  % (29941)ott+21_1:1_erd=off:s2a=on:sac=on:sd=1:sgt=64:sos=on:ss=included:st=3.0:to=lpo:urr=on:i=211:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/211Mi)
% 2.15/0.74  % (29945)lrs+30_1:64_flr=on:sp=frequency:to=lpo:i=213:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/213Mi)
% 2.15/0.74  % (29943)lrs+1002_1:1_nm=0:sd=1:ss=axioms:urr=ec_only:i=330:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/330Mi)
% 2.15/0.75  % (29948)lrs+1011_1:1_br=off:fs=off:fsr=off:tha=off:urr=ec_only:i=488:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/488Mi)
% 2.15/0.75  % (29946)dis+1002_1:1_aac=none:abs=on:nicw=on:sac=on:sas=z3:tgt=ground:tha=some:to=lpo:i=374:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/374Mi)
% 2.15/0.75  % (29944)lrs+11_1:1_erd=off:fs=off:fsr=off:norm_ineq=on:nwc=10.0:s2a=on:s2at=3.0:sas=z3:tha=some:i=294:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/294Mi)
% 2.15/0.76  % (29922)Instruction limit reached!
% 2.15/0.76  % (29922)------------------------------
% 2.15/0.76  % (29922)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.15/0.76  % (29926)Instruction limit reached!
% 2.15/0.76  % (29926)------------------------------
% 2.15/0.76  % (29926)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.18/0.76  % (29947)ins+10_1:32_fd=off:fs=off:fsr=off:igrr=4/7:igwr=on:urr=ec_only:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/500Mi)
% 2.18/0.77  % (29949)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 (2997ds/230Mi)
% 2.18/0.77  % (29922)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.18/0.77  % (29922)Termination reason: Unknown
% 2.18/0.77  % (29922)Termination phase: Saturation
% 2.18/0.77  
% 2.18/0.77  % (29922)Memory used [KB]: 6396
% 2.18/0.77  % (29922)Time elapsed: 0.195 s
% 2.18/0.77  % (29922)Instructions burned: 48 (million)
% 2.18/0.77  % (29922)------------------------------
% 2.18/0.77  % (29922)------------------------------
% 2.18/0.77  % (29950)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 (2997ds/360Mi)
% 2.18/0.78  % (29927)Instruction limit reached!
% 2.18/0.78  % (29927)------------------------------
% 2.18/0.78  % (29927)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.18/0.78  % (29927)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.18/0.78  % (29927)Termination reason: Unknown
% 2.18/0.78  % (29927)Termination phase: Saturation
% 2.18/0.78  
% 2.18/0.78  % (29927)Memory used [KB]: 6908
% 2.18/0.78  % (29927)Time elapsed: 0.195 s
% 2.18/0.78  % (29927)Instructions burned: 58 (million)
% 2.18/0.78  % (29927)------------------------------
% 2.18/0.78  % (29927)------------------------------
% 2.18/0.78  % (29926)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.18/0.78  % (29926)Termination reason: Unknown
% 2.18/0.78  % (29926)Termination phase: Saturation
% 2.18/0.78  
% 2.18/0.78  % (29926)Memory used [KB]: 6908
% 2.18/0.78  % (29926)Time elapsed: 0.182 s
% 2.18/0.78  % (29926)Instructions burned: 77 (million)
% 2.18/0.78  % (29926)------------------------------
% 2.18/0.78  % (29926)------------------------------
% 2.18/0.83  % (29925)Instruction limit reached!
% 2.18/0.83  % (29925)------------------------------
% 2.18/0.83  % (29925)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.18/0.83  % (29925)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.18/0.83  % (29925)Termination reason: Unknown
% 2.18/0.83  % (29925)Termination phase: Saturation
% 2.18/0.83  
% 2.18/0.83  % (29925)Memory used [KB]: 7036
% 2.18/0.83  % (29925)Time elapsed: 0.253 s
% 2.18/0.83  % (29925)Instructions burned: 100 (million)
% 2.18/0.83  % (29925)------------------------------
% 2.18/0.83  % (29925)------------------------------
% 2.41/0.84  % (29929)Instruction limit reached!
% 2.41/0.84  % (29929)------------------------------
% 2.41/0.84  % (29929)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.41/0.84  % (29929)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.41/0.84  % (29929)Termination reason: Unknown
% 2.41/0.84  % (29929)Termination phase: Saturation
% 2.41/0.84  
% 2.41/0.84  % (29929)Memory used [KB]: 6140
% 2.41/0.84  % (29929)Time elapsed: 0.048 s
% 2.41/0.84  % (29929)Instructions burned: 111 (million)
% 2.41/0.84  % (29929)------------------------------
% 2.41/0.84  % (29929)------------------------------
% 2.41/0.86  % (29951)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 (2996ds/382Mi)
% 2.41/0.86  % (29928)Instruction limit reached!
% 2.41/0.86  % (29928)------------------------------
% 2.41/0.86  % (29928)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.41/0.86  % (29928)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.41/0.86  % (29928)Termination reason: Unknown
% 2.41/0.86  % (29928)Termination phase: Saturation
% 2.41/0.86  
% 2.41/0.86  % (29928)Memory used [KB]: 6012
% 2.41/0.86  % (29928)Time elapsed: 0.268 s
% 2.41/0.86  % (29928)Instructions burned: 96 (million)
% 2.41/0.86  % (29928)------------------------------
% 2.41/0.86  % (29928)------------------------------
% 2.41/0.87  % (29939)Instruction limit reached!
% 2.41/0.87  % (29939)------------------------------
% 2.41/0.87  % (29939)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.41/0.87  % (29939)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.41/0.87  % (29939)Termination reason: Unknown
% 2.41/0.87  % (29939)Termination phase: Saturation
% 2.41/0.87  
% 2.41/0.87  % (29939)Memory used [KB]: 6652
% 2.41/0.87  % (29939)Time elapsed: 0.226 s
% 2.41/0.87  % (29939)Instructions burned: 81 (million)
% 2.41/0.87  % (29939)------------------------------
% 2.41/0.87  % (29939)------------------------------
% 2.63/0.88  % (29954)dis+1004_1:3_av=off:bs=on:plsq=on:i=3721:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/3721Mi)
% 2.63/0.90  % (29952)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 (2995ds/256Mi)
% 2.63/0.91  % (29953)dis+10_1:1_sgt=16:sos=on:spb=goal:ss=axioms:i=1006:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/1006Mi)
% 2.65/0.93  % (29924)Instruction limit reached!
% 2.65/0.93  % (29924)------------------------------
% 2.65/0.93  % (29924)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.65/0.93  % (29924)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.65/0.93  % (29924)Termination reason: Unknown
% 2.65/0.93  % (29924)Termination phase: Saturation
% 2.65/0.93  
% 2.65/0.93  % (29924)Memory used [KB]: 6780
% 2.65/0.93  % (29924)Time elapsed: 0.341 s
% 2.65/0.93  % (29924)Instructions burned: 150 (million)
% 2.65/0.93  % (29924)------------------------------
% 2.65/0.93  % (29924)------------------------------
% 2.65/0.93  % (29935)Instruction limit reached!
% 2.65/0.93  % (29935)------------------------------
% 2.65/0.93  % (29935)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.65/0.93  % (29935)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.65/0.93  % (29935)Termination reason: Unknown
% 2.65/0.93  % (29935)Termination phase: Saturation
% 2.65/0.93  
% 2.65/0.93  % (29935)Memory used [KB]: 1663
% 2.65/0.93  % (29935)Time elapsed: 0.294 s
% 2.65/0.93  % (29935)Instructions burned: 151 (million)
% 2.65/0.93  % (29935)------------------------------
% 2.65/0.93  % (29935)------------------------------
% 2.65/0.94  % (29936)Instruction limit reached!
% 2.65/0.94  % (29936)------------------------------
% 2.65/0.94  % (29936)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.65/0.94  % (29936)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.65/0.94  % (29936)Termination reason: Unknown
% 2.65/0.94  % (29936)Termination phase: Saturation
% 2.65/0.94  
% 2.65/0.94  % (29936)Memory used [KB]: 1791
% 2.65/0.94  % (29936)Time elapsed: 0.326 s
% 2.65/0.94  % (29936)Instructions burned: 161 (million)
% 2.65/0.94  % (29936)------------------------------
% 2.65/0.94  % (29936)------------------------------
% 2.65/0.94  % (29940)Instruction limit reached!
% 2.65/0.94  % (29940)------------------------------
% 2.65/0.94  % (29940)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.65/0.94  % (29940)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.65/0.94  % (29940)Termination reason: Unknown
% 2.65/0.94  % (29940)Termination phase: Saturation
% 2.65/0.94  
% 2.65/0.94  % (29940)Memory used [KB]: 1918
% 2.65/0.94  % (29940)Time elapsed: 0.299 s
% 2.65/0.94  % (29940)Instructions burned: 147 (million)
% 2.65/0.94  % (29940)------------------------------
% 2.65/0.94  % (29940)------------------------------
% 3.03/0.97  % (29955)ott+10_1:1_bd=preordered:drc=off:fd=preordered:nwc=5.0:sp=reverse_frequency:i=501:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/501Mi)
% 3.03/0.99  % (29949)Instruction limit reached!
% 3.03/0.99  % (29949)------------------------------
% 3.03/0.99  % (29949)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.03/0.99  % (29957)lrs+10_1:1_av=off:sd=10:sos=all:ss=axioms:st=4.0:i=2416:si=on:rawr=on:rtra=on_0 on theBenchmark for (2994ds/2416Mi)
% 3.03/1.00  % (29956)ott+1011_1:1_anc=all:avsq=on:avsqc=1:bsr=unit_only:drc=off:erd=off:fs=off:fsr=off:nwc=3.0:s2a=on:s2at=1.5:sac=on:urr=on:i=1705:si=on:rawr=on:rtra=on_0 on theBenchmark for (2994ds/1705Mi)
% 3.03/1.00  % (29949)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.03/1.00  % (29949)Termination reason: Unknown
% 3.03/1.00  % (29949)Termination phase: Saturation
% 3.03/1.00  
% 3.03/1.00  % (29949)Memory used [KB]: 1791
% 3.03/1.00  % (29949)Time elapsed: 0.326 s
% 3.03/1.00  % (29949)Instructions burned: 230 (million)
% 3.03/1.00  % (29949)------------------------------
% 3.03/1.00  % (29949)------------------------------
% 3.03/1.00  % (29958)dis+10_1:64_s2a=on:s2agt=16:slsq=on:slsqc=1:slsqr=1,1:i=1683:si=on:rawr=on:rtra=on_0 on theBenchmark for (2994ds/1683Mi)
% 3.15/1.03  % (29932)Refutation not found, non-redundant clauses discarded% (29932)------------------------------
% 3.15/1.03  % (29932)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.15/1.03  % (29932)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.15/1.03  % (29932)Termination reason: Refutation not found, non-redundant clauses discarded
% 3.15/1.03  
% 3.15/1.03  % (29932)Memory used [KB]: 2174
% 3.15/1.03  % (29932)Time elapsed: 0.420 s
% 3.15/1.03  % (29932)Instructions burned: 218 (million)
% 3.15/1.03  % (29932)------------------------------
% 3.15/1.03  % (29932)------------------------------
% 3.15/1.05  % (29961)lrs+10_1:1_ep=RS:fsr=off:sos=all:i=3217:si=on:rawr=on:rtra=on_0 on theBenchmark for (2994ds/3217Mi)
% 3.15/1.06  % (29959)dis+1011_1:1_av=off:fsr=off:nm=6:plsq=on:s2a=on:s2at=3.0:slsq=on:slsqc=0:slsqr=1,8:sp=frequency:to=lpo:i=330:si=on:rawr=on:rtra=on_0 on theBenchmark for (2994ds/330Mi)
% 3.15/1.06  % (29960)lrs+10_1:1_afp=1:sac=on:sas=z3:tha=off:i=113:si=on:rawr=on:rtra=on_0 on theBenchmark for (2994ds/113Mi)
% 3.15/1.07  % (29941)Instruction limit reached!
% 3.15/1.07  % (29941)------------------------------
% 3.15/1.07  % (29941)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.15/1.07  % (29942)Instruction limit reached!
% 3.15/1.07  % (29942)------------------------------
% 3.15/1.07  % (29942)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.15/1.07  % (29942)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.15/1.07  % (29942)Termination reason: Unknown
% 3.15/1.07  % (29942)Termination phase: Saturation
% 3.15/1.07  
% 3.15/1.07  % (29942)Memory used [KB]: 8059
% 3.15/1.07  % (29942)Time elapsed: 0.365 s
% 3.15/1.07  % (29942)Instructions burned: 274 (million)
% 3.15/1.07  % (29942)------------------------------
% 3.15/1.07  % (29942)------------------------------
% 3.15/1.07  % (29962)ott+10_6715:511922_awrs=decay:awrsf=1:bd=preordered:bs=on:drc=off:fd=preordered:nwc=5.0:sp=frequency:spb=goal_then_units:uwa=interpreted_only:i=3528:si=on:rawr=on:rtra=on_0 on theBenchmark for (2994ds/3528Mi)
% 3.15/1.08  % (29941)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.15/1.08  % (29941)Termination reason: Unknown
% 3.15/1.08  % (29941)Termination phase: Saturation
% 3.15/1.08  
% 3.15/1.08  % (29941)Memory used [KB]: 8315
% 3.15/1.08  % (29941)Time elapsed: 0.386 s
% 3.15/1.08  % (29941)Instructions burned: 211 (million)
% 3.15/1.08  % (29941)------------------------------
% 3.15/1.08  % (29941)------------------------------
% 5.72/1.11  % (29945)Instruction limit reached!
% 5.72/1.11  % (29945)------------------------------
% 5.72/1.11  % (29945)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 5.72/1.12  % (29963)lrs+1011_1:6_aac=none:afr=on:bce=on:bsr=unit_only:canc=cautious:cond=fast:fde=unused:newcnf=on:nwc=3.0:s2a=on:s2agt=40:sas=z3:sfv=off:sp=weighted_frequency:spb=units:tha=off:to=lpo:i=2304:si=on:rawr=on:rtra=on_0 on theBenchmark for (2993ds/2304Mi)
% 5.72/1.13  % (29945)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 5.72/1.13  % (29945)Termination reason: Unknown
% 5.72/1.13  % (29945)Termination phase: Saturation
% 5.72/1.13  
% 5.72/1.13  % (29945)Memory used [KB]: 8571
% 5.72/1.13  % (29945)Time elapsed: 0.464 s
% 5.72/1.13  % (29945)Instructions burned: 213 (million)
% 5.72/1.13  % (29945)------------------------------
% 5.72/1.13  % (29945)------------------------------
% 6.27/1.16  % (29943)Instruction limit reached!
% 6.27/1.16  % (29943)------------------------------
% 6.27/1.16  % (29943)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 6.27/1.16  % (29943)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 6.27/1.16  % (29943)Termination reason: Unknown
% 6.27/1.16  % (29943)Termination phase: Saturation
% 6.27/1.16  
% 6.27/1.16  % (29943)Memory used [KB]: 7547
% 6.27/1.16  % (29943)Time elapsed: 0.502 s
% 6.27/1.16  % (29943)Instructions burned: 331 (million)
% 6.27/1.16  % (29943)------------------------------
% 6.27/1.16  % (29943)------------------------------
% 6.27/1.17  % (29964)dis+1011_1:1_abs=on:bd=off:flr=on:nm=0:s2at=3.0:sas=z3:sfv=off:slsq=on:slsqc=2:slsqr=46,31:sp=const_frequency:tgt=ground:tha=some:thi=overlap:thitd=on:thsq=on:thsqc=32:thsqd=32:thsqr=7,4:i=3780:si=on:rawr=on:rtra=on_0 on theBenchmark for (2993ds/3780Mi)
% 6.51/1.19  % (29965)lrs+10_1:32_newcnf=on:sas=z3:tgt=ground:tha=off:i=238:si=on:rawr=on:rtra=on_0 on theBenchmark for (2992ds/238Mi)
% 6.51/1.21  % (29966)dis+1002_1:1_aac=none:abs=on:nicw=on:sac=on:sas=z3:tgt=ground:tha=some:to=lpo:i=656:si=on:rawr=on:rtra=on_0 on theBenchmark for (2992ds/656Mi)
% 6.51/1.21  % (29960)Instruction limit reached!
% 6.51/1.21  % (29960)------------------------------
% 6.51/1.21  % (29960)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 6.51/1.21  % (29960)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 6.51/1.21  % (29960)Termination reason: Unknown
% 6.51/1.21  % (29960)Termination phase: Saturation
% 6.51/1.21  
% 6.51/1.21  % (29960)Memory used [KB]: 1407
% 6.51/1.21  % (29960)Time elapsed: 0.041 s
% 6.51/1.21  % (29960)Instructions burned: 113 (million)
% 6.51/1.21  % (29960)------------------------------
% 6.51/1.21  % (29960)------------------------------
% 6.51/1.21  % (29944)Instruction limit reached!
% 6.51/1.21  % (29944)------------------------------
% 6.51/1.21  % (29944)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 6.51/1.21  % (29944)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 6.51/1.21  % (29944)Termination reason: Unknown
% 6.51/1.21  % (29944)Termination phase: Saturation
% 6.51/1.21  
% 6.51/1.21  % (29944)Memory used [KB]: 2046
% 6.51/1.21  % (29944)Time elapsed: 0.563 s
% 6.51/1.21  % (29944)Instructions burned: 294 (million)
% 6.51/1.21  % (29944)------------------------------
% 6.51/1.21  % (29944)------------------------------
% 6.51/1.21  % (29937)Instruction limit reached!
% 6.51/1.21  % (29937)------------------------------
% 6.51/1.21  % (29937)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 6.51/1.22  % (29937)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 6.51/1.22  % (29937)Termination reason: Unknown
% 6.51/1.22  % (29937)Termination phase: Saturation
% 6.51/1.22  
% 6.51/1.22  % (29937)Memory used [KB]: 2430
% 6.51/1.22  % (29937)Time elapsed: 0.578 s
% 6.51/1.22  % (29937)Instructions burned: 371 (million)
% 6.51/1.22  % (29937)------------------------------
% 6.51/1.22  % (29937)------------------------------
% 6.91/1.26  % (29933)Instruction limit reached!
% 6.91/1.26  % (29933)------------------------------
% 6.91/1.26  % (29933)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 6.91/1.26  % (29967)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=485:si=on:rawr=on:rtra=on_0 on theBenchmark for (2992ds/485Mi)
% 6.91/1.27  % (29933)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 6.91/1.27  % (29933)Termination reason: Unknown
% 6.91/1.27  % (29933)Termination phase: Saturation
% 6.91/1.27  
% 6.91/1.27  % (29933)Memory used [KB]: 2046
% 6.91/1.27  % (29933)Time elapsed: 0.648 s
% 6.91/1.27  % (29933)Instructions burned: 343 (million)
% 6.91/1.27  % (29933)------------------------------
% 6.91/1.27  % (29933)------------------------------
% 6.91/1.29  % (29968)lrs+1010_1:1_aac=none:abs=on:bd=off:fd=off:nm=0:sas=z3:sims=off:tha=off:to=lpo:i=1302:si=on:rawr=on:rtra=on_0 on theBenchmark for (2991ds/1302Mi)
% 6.91/1.30  % (29930)Instruction limit reached!
% 6.91/1.30  % (29930)------------------------------
% 6.91/1.30  % (29930)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 7.32/1.31  % (29930)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 7.32/1.31  % (29930)Termination reason: Unknown
% 7.32/1.31  % (29930)Termination phase: Saturation
% 7.32/1.31  
% 7.32/1.31  % (29930)Memory used [KB]: 9978
% 7.32/1.31  % (29930)Time elapsed: 0.706 s
% 7.32/1.31  % (29930)Instructions burned: 464 (million)
% 7.32/1.31  % (29930)------------------------------
% 7.32/1.31  % (29930)------------------------------
% 7.32/1.32  % (29934)Instruction limit reached!
% 7.32/1.32  % (29934)------------------------------
% 7.32/1.32  % (29934)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 7.32/1.32  % (29934)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 7.32/1.32  % (29934)Termination reason: Unknown
% 7.32/1.32  % (29934)Termination phase: Saturation
% 7.32/1.32  
% 7.32/1.32  % (29934)Memory used [KB]: 6652
% 7.32/1.32  % (29934)Time elapsed: 0.694 s
% 7.32/1.32  % (29934)Instructions burned: 488 (million)
% 7.32/1.32  % (29934)------------------------------
% 7.32/1.32  % (29934)------------------------------
% 7.32/1.32  % (29946)Instruction limit reached!
% 7.32/1.32  % (29946)------------------------------
% 7.32/1.32  % (29946)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 7.32/1.32  % (29946)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 7.32/1.32  % (29946)Termination reason: Unknown
% 7.32/1.32  % (29946)Termination phase: Saturation
% 7.32/1.32  
% 7.32/1.32  % (29946)Memory used [KB]: 3454
% 7.32/1.32  % (29946)Time elapsed: 0.668 s
% 7.32/1.32  % (29946)Instructions burned: 376 (million)
% 7.32/1.32  % (29946)------------------------------
% 7.32/1.32  % (29946)------------------------------
% 7.32/1.33  % (29952)Instruction limit reached!
% 7.32/1.33  % (29952)------------------------------
% 7.32/1.33  % (29952)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 7.32/1.33  % (29952)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 7.32/1.33  % (29952)Termination reason: Unknown
% 7.32/1.33  % (29952)Termination phase: Saturation
% 7.32/1.33  
% 7.32/1.33  % (29952)Memory used [KB]: 3582
% 7.32/1.33  % (29952)Time elapsed: 0.533 s
% 7.32/1.33  % (29952)Instructions burned: 257 (million)
% 7.32/1.33  % (29952)------------------------------
% 7.32/1.33  % (29952)------------------------------
% 7.32/1.33  % (29950)Instruction limit reached!
% 7.32/1.33  % (29950)------------------------------
% 7.32/1.33  % (29950)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 7.32/1.33  % (29950)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 7.32/1.33  % (29950)Termination reason: Unknown
% 7.32/1.33  % (29950)Termination phase: Saturation
% 7.32/1.33  
% 7.32/1.33  % (29950)Memory used [KB]: 3070
% 7.32/1.33  % (29950)Time elapsed: 0.662 s
% 7.32/1.33  % (29950)Instructions burned: 361 (million)
% 7.32/1.33  % (29950)------------------------------
% 7.32/1.33  % (29950)------------------------------
% 7.32/1.34  % (29970)ins+10_1:32_fd=off:fs=off:fsr=off:igrr=4/7:igwr=on:urr=ec_only:i=591:si=on:rawr=on:rtra=on_0 on theBenchmark for (2991ds/591Mi)
% 7.32/1.35  % (29969)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=980:si=on:rawr=on:rtra=on_0 on theBenchmark for (2991ds/980Mi)
% 7.32/1.36  % (29971)lrs+1011_1:1_br=off:fs=off:fsr=off:tha=off:urr=ec_only:i=638:si=on:rawr=on:rtra=on_0 on theBenchmark for (2991ds/638Mi)
% 7.67/1.38  % (29931)Refutation not found, non-redundant clauses discarded% (29931)------------------------------
% 7.67/1.38  % (29931)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 7.67/1.38  % (29931)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 7.67/1.38  % (29931)Termination reason: Refutation not found, non-redundant clauses discarded
% 7.67/1.38  
% 7.67/1.38  % (29931)Memory used [KB]: 5373
% 7.67/1.38  % (29931)Time elapsed: 0.772 s
% 7.67/1.38  % (29931)Instructions burned: 492 (million)
% 7.67/1.38  % (29931)------------------------------
% 7.67/1.38  % (29931)------------------------------
% 7.67/1.38  % (29972)dis+1010_137062:920759_aac=none:abs=on:amm=sco:anc=none:asg=cautious:atotf=0.5:avsq=on:avsqc=2:avsqr=383,440:bce=on:bsd=on:erd=off:fde=unused:gs=on:gve=cautious:newcnf=on:nwc=3.3:sac=on:sas=z3:sfv=off:skr=on:spb=goal:tgt=ground:thsq=on:thsqc=128:thsql=off:uwa=all:i=947:si=on:rawr=on:rtra=on_0 on theBenchmark for (2990ds/947Mi)
% 7.67/1.39  % (29951)Instruction limit reached!
% 7.67/1.39  % (29951)------------------------------
% 7.67/1.39  % (29951)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 7.67/1.39  % (29951)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 7.67/1.39  % (29951)Termination reason: Unknown
% 7.67/1.39  % (29951)Termination phase: Saturation
% 7.67/1.39  
% 7.67/1.39  % (29951)Memory used [KB]: 4093
% 7.67/1.39  % (29951)Time elapsed: 0.669 s
% 7.67/1.39  % (29951)Instructions burned: 383 (million)
% 7.67/1.39  % (29951)------------------------------
% 7.67/1.39  % (29951)------------------------------
% 7.67/1.40  % (29938)Refutation not found, non-redundant clauses discarded% (29938)------------------------------
% 7.67/1.40  % (29938)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 7.67/1.40  % (29938)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 7.67/1.40  % (29938)Termination reason: Refutation not found, non-redundant clauses discarded
% 7.67/1.40  
% 7.67/1.40  % (29938)Memory used [KB]: 3070
% 7.67/1.40  % (29938)Time elapsed: 0.757 s
% 7.67/1.40  % (29938)Instructions burned: 479 (million)
% 7.67/1.40  % (29938)------------------------------
% 7.67/1.40  % (29938)------------------------------
% 7.67/1.42  % (29974)lrs+10_1:128_asg=cautious:drc=off:fde=none:gve=force:norm_ineq=on:sas=z3:sos=all:sp=reverse_arity:spb=intro:ss=axioms:to=lpo:uwa=one_side_constant:i=370:si=on:rawr=on:rtra=on_0 on theBenchmark for (2990ds/370Mi)
% 7.67/1.42  % (29948)Instruction limit reached!
% 7.67/1.42  % (29948)------------------------------
% 7.67/1.42  % (29948)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 7.67/1.43  % (29948)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 7.67/1.43  % (29948)Termination reason: Unknown
% 7.67/1.43  % (29948)Termination phase: Saturation
% 7.67/1.43  
% 7.67/1.43  % (29948)Memory used [KB]: 6652
% 7.67/1.43  % (29948)Time elapsed: 0.727 s
% 7.67/1.43  % (29948)Instructions burned: 488 (million)
% 7.67/1.43  % (29948)------------------------------
% 7.67/1.43  % (29948)------------------------------
% 7.67/1.43  % (29973)lrs+10_1:1024_drc=off:fde=none:gve=force:nm=4:norm_ineq=on:sas=z3:sos=all:sp=const_min:spb=non_intro:to=lpo:uwa=one_side_constant:i=691:si=on:rawr=on:rtra=on_0 on theBenchmark for (2990ds/691Mi)
% 8.01/1.45  % (29976)lrs+1011_1:1_bce=on:drc=off:erd=off:gve=force:ins=2:norm_ineq=on:sac=on:sp=frequency:tha=some:urr=on:i=3058:si=on:rawr=on:rtra=on_0 on theBenchmark for (2990ds/3058Mi)
% 8.01/1.46  % (29965)Instruction limit reached!
% 8.01/1.46  % (29965)------------------------------
% 8.01/1.46  % (29965)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 8.01/1.46  % (29965)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 8.01/1.46  % (29965)Termination reason: Unknown
% 8.01/1.46  % (29965)Termination phase: Saturation
% 8.01/1.46  
% 8.01/1.46  % (29965)Memory used [KB]: 2430
% 8.01/1.46  % (29965)Time elapsed: 0.361 s
% 8.01/1.46  % (29965)Instructions burned: 238 (million)
% 8.01/1.46  % (29965)------------------------------
% 8.01/1.46  % (29965)------------------------------
% 8.01/1.46  % (29975)dis+10_1:1_bd=off:fde=unused:gsp=on:ins=1:norm_ineq=on:sas=z3:sos=all:tha=off:i=361:si=on:rawr=on:rtra=on_0 on theBenchmark for (2990ds/361Mi)
% 8.01/1.48  % (29977)lrs+1010_5:1_norm_ineq=on:sas=z3:sos=all:ss=axioms:tha=off:i=1198:si=on:rawr=on:rtra=on_0 on theBenchmark for (2989ds/1198Mi)
% 8.23/1.49  % (29979)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 (2989ds/256Mi)
% 8.23/1.52  % (29978)lrs+11_1:1_avsq=on:avsql=on:avsqr=1,16:norm_ineq=on:nwc=10.0:plsq=on:sas=z3:tha=off:urr=on:i=2501:si=on:rawr=on:rtra=on_0 on theBenchmark for (2989ds/2501Mi)
% 8.23/1.52  % (29980)dis+1011_1:1_bd=preordered:sd=2:sos=all:ss=axioms:i=217:si=on:rawr=on:rtra=on_0 on theBenchmark for (2989ds/217Mi)
% 8.34/1.53  % (29981)ott+11_1:1_aac=none:amm=off:bd=off:fsr=off:sas=z3:sos=all:sp=const_frequency:tha=off:i=1168:si=on:rawr=on:rtra=on_0 on theBenchmark for (2989ds/1168Mi)
% 8.40/1.58  % (29982)dis+10_1:1_sgt=16:sos=on:spb=goal:ss=axioms:i=1006:si=on:rawr=on:rtra=on_0 on theBenchmark for (2988ds/1006Mi)
% 8.40/1.58  % (29947)Instruction limit reached!
% 8.40/1.58  % (29947)------------------------------
% 8.40/1.58  % (29947)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 8.40/1.58  % (29947)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 8.40/1.58  % (29947)Termination reason: Unknown
% 8.40/1.58  % (29947)Termination phase: Saturation
% 8.40/1.58  
% 8.40/1.58  % (29947)Memory used [KB]: 11001
% 8.40/1.58  % (29947)Time elapsed: 0.236 s
% 8.40/1.58  % (29947)Instructions burned: 500 (million)
% 8.40/1.58  % (29947)------------------------------
% 8.40/1.58  % (29947)------------------------------
% 8.40/1.61  % (29959)Instruction limit reached!
% 8.40/1.61  % (29959)------------------------------
% 8.40/1.61  % (29959)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 8.40/1.61  % (29959)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 8.40/1.61  % (29959)Termination reason: Unknown
% 8.40/1.61  % (29959)Termination phase: Saturation
% 8.40/1.61  
% 8.40/1.61  % (29959)Memory used [KB]: 4221
% 8.40/1.61  % (29959)Time elapsed: 0.640 s
% 8.40/1.61  % (29959)Instructions burned: 330 (million)
% 8.40/1.61  % (29959)------------------------------
% 8.40/1.61  % (29959)------------------------------
% 10.45/1.72  % (29983)dis+1004_1:3_av=off:bs=on:plsq=on:i=4966:si=on:rawr=on:rtra=on_0 on theBenchmark for (2987ds/4966Mi)
% 10.45/1.74  % (29984)ott+10_18762:894869_awrs=decay:awrsf=8:bsd=on:drc=off:fsr=off:irw=on:newcnf=on:slsq=on:slsqc=1:slsqr=76,61:i=4835:si=on:rawr=on:rtra=on_0 on theBenchmark for (2987ds/4835Mi)
% 11.11/1.77  % (29979)Instruction limit reached!
% 11.11/1.77  % (29979)------------------------------
% 11.11/1.77  % (29979)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 11.11/1.77  % (29979)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 11.11/1.77  % (29979)Termination reason: Unknown
% 11.11/1.77  % (29979)Termination phase: Saturation
% 11.11/1.77  
% 11.11/1.77  % (29979)Memory used [KB]: 3326
% 11.11/1.77  % (29979)Time elapsed: 0.319 s
% 11.11/1.77  % (29979)Instructions burned: 256 (million)
% 11.11/1.77  % (29979)------------------------------
% 11.11/1.77  % (29979)------------------------------
% 11.61/1.83  % (29955)Instruction limit reached!
% 11.61/1.83  % (29955)------------------------------
% 11.61/1.83  % (29955)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 11.61/1.83  % (29955)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 11.61/1.83  % (29955)Termination reason: Unknown
% 11.61/1.83  % (29955)Termination phase: Saturation
% 11.61/1.83  
% 11.61/1.83  % (29955)Memory used [KB]: 10106
% 11.61/1.83  % (29955)Time elapsed: 0.976 s
% 11.61/1.83  % (29955)Instructions burned: 501 (million)
% 11.61/1.83  % (29955)------------------------------
% 11.61/1.83  % (29955)------------------------------
% 11.61/1.85  % (29985)ott+0_1:128_afr=on:amm=sco:anc=none:awrs=converge:awrsf=110:bsd=on:cond=fast:etr=on:fde=unused:flr=on:fsd=on:gve=force:irw=on:norm_ineq=on:sas=z3:sos=all:spb=units:tha=off:thi=strong:to=lpo:uwa=one_side_interpreted:i=3932:si=on:rawr=on:rtra=on_0 on theBenchmark for (2985ds/3932Mi)
% 11.61/1.86  % (29980)Instruction limit reached!
% 11.61/1.86  % (29980)------------------------------
% 11.61/1.86  % (29980)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 11.61/1.86  % (29980)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 11.61/1.86  % (29980)Termination reason: Unknown
% 11.61/1.86  % (29980)Termination phase: Saturation
% 11.61/1.86  
% 11.61/1.86  % (29980)Memory used [KB]: 7164
% 11.61/1.86  % (29980)Time elapsed: 0.435 s
% 11.61/1.86  % (29980)Instructions burned: 217 (million)
% 11.61/1.86  % (29980)------------------------------
% 11.61/1.86  % (29980)------------------------------
% 11.61/1.90  % (29974)Instruction limit reached!
% 11.61/1.90  % (29974)------------------------------
% 11.61/1.90  % (29974)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 11.61/1.90  % (29974)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 11.61/1.90  % (29974)Termination reason: Unknown
% 11.61/1.90  % (29974)Termination phase: Saturation
% 11.61/1.90  
% 11.61/1.90  % (29974)Memory used [KB]: 3709
% 11.61/1.90  % (29974)Time elapsed: 0.501 s
% 11.61/1.90  % (29974)Instructions burned: 371 (million)
% 11.61/1.90  % (29974)------------------------------
% 11.61/1.90  % (29974)------------------------------
% 12.17/1.95  % (29975)Instruction limit reached!
% 12.17/1.95  % (29975)------------------------------
% 12.17/1.95  % (29975)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 12.17/1.95  % (29975)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 12.17/1.95  % (29975)Termination reason: Unknown
% 12.17/1.95  % (29975)Termination phase: Saturation
% 12.17/1.95  
% 12.17/1.95  % (29975)Memory used [KB]: 2430
% 12.17/1.95  % (29975)Time elapsed: 0.583 s
% 12.17/1.95  % (29975)Instructions burned: 363 (million)
% 12.17/1.95  % (29975)------------------------------
% 12.17/1.95  % (29975)------------------------------
% 12.17/1.95  % (29986)lrs+1011_1:6_aac=none:afr=on:bce=on:bsr=unit_only:canc=cautious:cond=fast:fde=unused:newcnf=on:nwc=3.0:s2a=on:s2agt=40:sas=z3:sfv=off:sp=weighted_frequency:spb=units:tha=off:to=lpo:i=1742:si=on:rawr=on:rtra=on_0 on theBenchmark for (2985ds/1742Mi)
% 12.64/1.99  % (29967)Instruction limit reached!
% 12.64/1.99  % (29967)------------------------------
% 12.64/1.99  % (29967)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 12.64/1.99  % (29967)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 12.64/1.99  % (29967)Termination reason: Unknown
% 12.64/1.99  % (29967)Termination phase: Saturation
% 12.64/1.99  
% 12.64/1.99  % (29967)Memory used [KB]: 4221
% 12.64/1.99  % (29967)Time elapsed: 0.817 s
% 12.64/1.99  % (29967)Instructions burned: 485 (million)
% 12.64/1.99  % (29967)------------------------------
% 12.64/1.99  % (29967)------------------------------
% 12.64/1.99  % (29987)dis+1011_1:1_abs=on:bd=off:flr=on:nm=0:s2at=3.0:sas=z3:sfv=off:slsq=on:slsqc=2:slsqr=46,31:sp=const_frequency:tgt=ground:tha=some:thi=overlap:thitd=on:thsq=on:thsqc=32:thsqd=32:thsqr=7,4:i=3843:si=on:rawr=on:rtra=on_0 on theBenchmark for (2984ds/3843Mi)
% 12.64/2.03  % (29988)dis+1010_137062:920759_aac=none:abs=on:amm=sco:anc=none:asg=cautious:atotf=0.5:avsq=on:avsqc=2:avsqr=383,440:bce=on:bsd=on:erd=off:fde=unused:gs=on:gve=cautious:newcnf=on:nwc=3.3:sac=on:sas=z3:sfv=off:skr=on:spb=goal:tgt=ground:thsq=on:thsqc=128:thsql=off:uwa=all:i=947:si=on:rawr=on:rtra=on_0 on theBenchmark for (2984ds/947Mi)
% 13.32/2.09  % (29989)dis+10_1:14_awrs=converge:sp=unary_first:tgt=ground:i=3622:si=on:rawr=on:rtra=on_0 on theBenchmark for (2983ds/3622Mi)
% 13.51/2.13  % (29990)lrs+11_9:8_amm=off:bsd=on:etr=on:fsd=on:fsr=off:lma=on:newcnf=on:nm=0:nwc=3.0:s2a=on:s2agt=10:sas=z3:tha=some:i=4725:si=on:rawr=on:rtra=on_0 on theBenchmark for (2983ds/4725Mi)
% 14.14/2.18  % (29966)Instruction limit reached!
% 14.14/2.18  % (29966)------------------------------
% 14.14/2.18  % (29966)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 14.14/2.18  % (29966)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 14.14/2.18  % (29966)Termination reason: Unknown
% 14.14/2.18  % (29966)Termination phase: Saturation
% 14.14/2.18  
% 14.14/2.18  % (29966)Memory used [KB]: 4733
% 14.14/2.18  % (29966)Time elapsed: 1.060 s
% 14.14/2.18  % (29966)Instructions burned: 657 (million)
% 14.14/2.18  % (29966)------------------------------
% 14.14/2.18  % (29966)------------------------------
% 14.76/2.29  % (29970)Instruction limit reached!
% 14.76/2.29  % (29970)------------------------------
% 14.76/2.29  % (29970)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 14.76/2.29  % (29970)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 14.76/2.29  % (29970)Termination reason: Unknown
% 14.76/2.29  % (29970)Termination phase: Saturation
% 14.76/2.29  
% 14.76/2.29  % (29970)Memory used [KB]: 12281
% 14.76/2.29  % (29970)Time elapsed: 0.277 s
% 14.76/2.29  % (29970)Instructions burned: 592 (million)
% 14.76/2.29  % (29970)------------------------------
% 14.76/2.29  % (29970)------------------------------
% 15.34/2.32  % (29971)Instruction limit reached!
% 15.34/2.32  % (29971)------------------------------
% 15.34/2.32  % (29971)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 15.34/2.33  % (29991)dis+31_1:1_lcm=reverse:norm_ineq=on:nwc=10.0:sas=z3:tha=off:urr=on:i=1518:si=on:rawr=on:rtra=on_0 on theBenchmark for (2981ds/1518Mi)
% 15.34/2.34  % (29971)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 15.34/2.34  % (29971)Termination reason: Unknown
% 15.34/2.34  % (29971)Termination phase: Saturation
% 15.34/2.34  
% 15.34/2.34  % (29971)Memory used [KB]: 6780
% 15.34/2.34  % (29971)Time elapsed: 1.089 s
% 15.34/2.34  % (29971)Instructions burned: 639 (million)
% 15.34/2.34  % (29971)------------------------------
% 15.34/2.34  % (29971)------------------------------
% 15.97/2.40  % (29992)lrs+11_1:1_avsq=on:avsql=on:avsqr=1,16:norm_ineq=on:nwc=10.0:plsq=on:sas=z3:tha=off:urr=on:i=2661:si=on:rawr=on:rtra=on_0 on theBenchmark for (2980ds/2661Mi)
% 16.34/2.50  % (29993)ott+11_2:1_add=large:afp=4000:newcnf=on:sd=1:sos=on:sp=const_min:ss=axioms:i=1324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2980ds/1324Mi)
% 16.34/2.51  % (29953)Instruction limit reached!
% 16.34/2.51  % (29953)------------------------------
% 16.34/2.51  % (29953)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 16.34/2.52  % (29973)Instruction limit reached!
% 16.34/2.52  % (29973)------------------------------
% 16.34/2.52  % (29973)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 17.02/2.53  % (29953)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 17.02/2.53  % (29953)Termination reason: Unknown
% 17.02/2.53  % (29953)Termination phase: Saturation
% 17.02/2.53  
% 17.02/2.53  % (29953)Memory used [KB]: 12537
% 17.02/2.53  % (29953)Time elapsed: 1.703 s
% 17.02/2.53  % (29953)Instructions burned: 1007 (million)
% 17.02/2.53  % (29953)------------------------------
% 17.02/2.53  % (29953)------------------------------
% 17.02/2.53  % (29973)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 17.02/2.53  % (29973)Termination reason: Unknown
% 17.02/2.53  % (29973)Termination phase: Saturation
% 17.02/2.53  
% 17.02/2.53  % (29973)Memory used [KB]: 7419
% 17.02/2.53  % (29973)Time elapsed: 1.197 s
% 17.02/2.53  % (29973)Instructions burned: 691 (million)
% 17.02/2.53  % (29973)------------------------------
% 17.02/2.53  % (29973)------------------------------
% 17.52/2.61  % (29969)Instruction limit reached!
% 17.52/2.61  % (29969)------------------------------
% 17.52/2.61  % (29969)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 17.52/2.62  % (29969)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 17.52/2.62  % (29969)Termination reason: Unknown
% 17.52/2.62  % (29969)Termination phase: Saturation
% 17.52/2.62  
% 17.52/2.62  % (29969)Memory used [KB]: 9850
% 17.52/2.62  % (29969)Time elapsed: 1.375 s
% 17.52/2.62  % (29969)Instructions burned: 980 (million)
% 17.52/2.62  % (29969)------------------------------
% 17.52/2.62  % (29969)------------------------------
% 17.52/2.66  % (29994)ott+11_1:1_aac=none:amm=off:bd=off:fsr=off:sas=z3:sos=all:sp=const_frequency:tha=off:i=1168:si=on:rawr=on:rtra=on_0 on theBenchmark for (2978ds/1168Mi)
% 18.08/2.67  % (29995)dis+1004_1:3_av=off:bs=on:plsq=on:i=11321:si=on:rawr=on:rtra=on_0 on theBenchmark for (2978ds/11321Mi)
% 18.93/2.75  % (29982)Instruction limit reached!
% 18.93/2.75  % (29982)------------------------------
% 18.93/2.75  % (29982)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 18.93/2.76  % (29996)lrs+10_1:1_av=off:sd=10:sos=all:ss=axioms:st=4.0:i=12082:si=on:rawr=on:rtra=on_0 on theBenchmark for (2977ds/12082Mi)
% 18.93/2.76  % (29982)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 18.93/2.76  % (29982)Termination reason: Unknown
% 18.93/2.76  % (29982)Termination phase: Saturation
% 18.93/2.76  
% 18.93/2.76  % (29982)Memory used [KB]: 13176
% 18.93/2.76  % (29982)Time elapsed: 1.217 s
% 18.93/2.76  % (29982)Instructions burned: 1008 (million)
% 18.93/2.76  % (29982)------------------------------
% 18.93/2.76  % (29982)------------------------------
% 18.93/2.76  % (29972)Instruction limit reached!
% 18.93/2.76  % (29972)------------------------------
% 18.93/2.76  % (29972)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 18.93/2.76  % (29972)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 18.93/2.76  % (29972)Termination reason: Unknown
% 18.93/2.76  % (29972)Termination phase: Saturation
% 18.93/2.76  
% 18.93/2.76  % (29972)Memory used [KB]: 12281
% 18.93/2.76  % (29972)Time elapsed: 1.438 s
% 18.93/2.76  % (29972)Instructions burned: 949 (million)
% 18.93/2.76  % (29972)------------------------------
% 18.93/2.76  % (29972)------------------------------
% 19.65/2.87  % (29997)lrs+10_3:1_abs=on:ep=RST:newcnf=on:nm=2:sas=z3:sd=1:sos=all:ss=included:to=lpo:i=31695:si=on:rawr=on:rtra=on_0 on theBenchmark for (2975ds/31695Mi)
% 19.65/2.87  % (29998)lrs+1002_1:1_nm=0:sd=1:ss=axioms:urr=ec_only:i=7145:si=on:rawr=on:rtra=on_0 on theBenchmark for (2975ds/7145Mi)
% 21.18/3.05  % (29956)Instruction limit reached!
% 21.18/3.05  % (29956)------------------------------
% 21.18/3.05  % (29956)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 21.18/3.05  % (29956)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 21.18/3.05  % (29956)Termination reason: Unknown
% 21.18/3.05  % (29956)Termination phase: Saturation
% 21.18/3.05  
% 21.18/3.05  % (29956)Memory used [KB]: 13688
% 21.18/3.05  % (29956)Time elapsed: 2.117 s
% 21.18/3.05  % (29956)Instructions burned: 1707 (million)
% 21.18/3.05  % (29956)------------------------------
% 21.18/3.05  % (29956)------------------------------
% 21.84/3.16  % (29981)Instruction limit reached!
% 21.84/3.16  % (29981)------------------------------
% 21.84/3.16  % (29981)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 21.84/3.16  % (29981)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 21.84/3.16  % (29981)Termination reason: Unknown
% 21.84/3.16  % (29981)Termination phase: Saturation
% 21.84/3.16  
% 21.84/3.16  % (29981)Memory used [KB]: 4477
% 21.84/3.16  % (29981)Time elapsed: 1.664 s
% 21.84/3.16  % (29981)Instructions burned: 1171 (million)
% 21.84/3.16  % (29981)------------------------------
% 21.84/3.16  % (29981)------------------------------
% 21.84/3.16  % (29977)Refutation not found, non-redundant clauses discarded% (29977)------------------------------
% 21.84/3.16  % (29977)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 21.84/3.16  % (29977)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 21.84/3.16  % (29977)Termination reason: Refutation not found, non-redundant clauses discarded
% 21.84/3.16  
% 21.84/3.16  % (29977)Memory used [KB]: 4861
% 21.84/3.16  % (29977)Time elapsed: 1.777 s
% 21.84/3.16  % (29977)Instructions burned: 1196 (million)
% 21.84/3.16  % (29977)------------------------------
% 21.84/3.16  % (29977)------------------------------
% 21.84/3.17  % (29968)Refutation not found, non-redundant clauses discarded% (29968)------------------------------
% 21.84/3.17  % (29968)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 21.84/3.17  % (29968)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 21.84/3.17  % (29968)Termination reason: Refutation not found, non-redundant clauses discarded
% 21.84/3.17  
% 21.84/3.17  % (29968)Memory used [KB]: 7803
% 21.84/3.17  % (29968)Time elapsed: 1.969 s
% 21.84/3.17  % (29968)Instructions burned: 1292 (million)
% 21.84/3.17  % (29968)------------------------------
% 21.84/3.17  % (29968)------------------------------
% 22.23/3.19  % (29999)lrs+10_1:1_br=off:ep=RSTC:plsq=on:plsqc=1:plsqr=32,1:urr=on:i=48352:si=on:rawr=on:rtra=on_0 on theBenchmark for (2972ds/48352Mi)
% 23.17/3.29  % (30000)lrs+10_1:16_ss=axioms:st=3.0:i=48076:si=on:rawr=on:rtra=on_0 on theBenchmark for (2971ds/48076Mi)
% 23.17/3.30  % (30001)lrs+21_1:1_ep=RS:fs=off:fsr=off:s2a=on:s2at=1.5:sac=on:sos=all:updr=off:i=24952:si=on:rawr=on:rtra=on_0 on theBenchmark for (2971ds/24952Mi)
% 23.17/3.30  % (30002)ott+0_1:128_afr=on:amm=sco:anc=none:awrs=converge:awrsf=110:bsd=on:cond=fast:etr=on:fde=unused:flr=on:fsd=on:gve=force:irw=on:norm_ineq=on:sas=z3:sos=all:spb=units:tha=off:thi=strong:to=lpo:uwa=one_side_interpreted:i=17722:si=on:rawr=on:rtra=on_0 on theBenchmark for (2971ds/17722Mi)
% 25.32/3.54  % (29988)Instruction limit reached!
% 25.32/3.54  % (29988)------------------------------
% 25.32/3.54  % (29988)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 25.32/3.54  % (29988)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 25.32/3.54  % (29988)Termination reason: Unknown
% 25.32/3.54  % (29988)Termination phase: Saturation
% 25.32/3.54  
% 25.32/3.54  % (29988)Memory used [KB]: 13816
% 25.32/3.54  % (29988)Time elapsed: 1.600 s
% 25.32/3.54  % (29988)Instructions burned: 948 (million)
% 25.32/3.54  % (29988)------------------------------
% 25.32/3.54  % (29988)------------------------------
% 25.90/3.65  % (30003)lrs+35_1:1_aac=none:abs=on:amm=off:norm_ineq=on:s2a=on:s2at=3.0:tha=off:i=25691:si=on:rawr=on:rtra=on_0 on theBenchmark for (2968ds/25691Mi)
% 28.35/3.94  % (29958)Instruction limit reached!
% 28.35/3.94  % (29958)------------------------------
% 28.35/3.94  % (29958)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 28.35/3.95  % (29958)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 28.35/3.95  % (29958)Termination reason: Unknown
% 28.35/3.95  % (29958)Termination phase: Saturation
% 28.35/3.95  
% 28.35/3.95  % (29958)Memory used [KB]: 16375
% 28.35/3.95  % (29958)Time elapsed: 3.038 s
% 28.35/3.95  % (29958)Instructions burned: 1684 (million)
% 28.35/3.95  % (29958)------------------------------
% 28.35/3.95  % (29958)------------------------------
% 29.41/4.09  % (30004)lrs+1011_1:6_aac=none:afr=on:bce=on:bsr=unit_only:canc=cautious:cond=fast:fde=unused:newcnf=on:nwc=3.0:s2a=on:s2agt=40:sas=z3:sfv=off:sp=weighted_frequency:spb=units:tha=off:to=lpo:i=1742:si=on:rawr=on:rtra=on_0 on theBenchmark for (2964ds/1742Mi)
% 30.71/4.23  % (29994)Instruction limit reached!
% 30.71/4.23  % (29994)------------------------------
% 30.71/4.23  % (29994)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 30.71/4.24  % (29994)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 30.71/4.24  % (29994)Termination reason: Unknown
% 30.71/4.24  % (29994)Termination phase: Saturation
% 30.71/4.24  
% 30.71/4.24  % (29994)Memory used [KB]: 4477
% 30.71/4.24  % (29994)Time elapsed: 1.666 s
% 30.71/4.24  % (29994)Instructions burned: 1169 (million)
% 30.71/4.24  % (29994)------------------------------
% 30.71/4.24  % (29994)------------------------------
% 30.91/4.26  % (29986)Instruction limit reached!
% 30.91/4.26  % (29986)------------------------------
% 30.91/4.26  % (29986)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 30.91/4.26  % (29986)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 30.91/4.26  % (29986)Termination reason: Unknown
% 30.91/4.26  % (29986)Termination phase: Saturation
% 30.91/4.26  
% 30.91/4.26  % (29986)Memory used [KB]: 5628
% 30.91/4.26  % (29986)Time elapsed: 2.364 s
% 30.91/4.26  % (29986)Instructions burned: 1742 (million)
% 30.91/4.26  % (29986)------------------------------
% 30.91/4.26  % (29986)------------------------------
% 30.91/4.27  % (29993)Instruction limit reached!
% 30.91/4.27  % (29993)------------------------------
% 30.91/4.27  % (29993)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 30.91/4.27  % (29993)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 30.91/4.27  % (29993)Termination reason: Unknown
% 30.91/4.27  % (29993)Termination phase: Saturation
% 30.91/4.27  
% 30.91/4.27  % (29993)Memory used [KB]: 10234
% 30.91/4.27  % (29993)Time elapsed: 1.876 s
% 30.91/4.27  % (29993)Instructions burned: 1324 (million)
% 30.91/4.27  % (29993)------------------------------
% 30.91/4.27  % (29993)------------------------------
% 31.39/4.35  % (30005)dis+1011_1:1_abs=on:bd=off:flr=on:nm=0:s2at=3.0:sas=z3:sfv=off:slsq=on:slsqc=2:slsqr=46,31:sp=const_frequency:tgt=ground:tha=some:thi=overlap:thitd=on:thsq=on:thsqc=32:thsqd=32:thsqr=7,4:i=31719:si=on:rawr=on:rtra=on_0 on theBenchmark for (2961ds/31719Mi)
% 31.91/4.40  % (29991)Instruction limit reached!
% 31.91/4.40  % (29991)------------------------------
% 31.91/4.40  % (29991)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 31.91/4.40  % (29991)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 31.91/4.40  % (29991)Termination reason: Unknown
% 31.91/4.40  % (29991)Termination phase: Saturation
% 31.91/4.40  
% 31.91/4.40  % (29991)Memory used [KB]: 8443
% 31.91/4.40  % (29991)Time elapsed: 2.177 s
% 31.91/4.40  % (29991)Instructions burned: 1520 (million)
% 31.91/4.40  % (29991)------------------------------
% 31.91/4.40  % (29991)------------------------------
% 31.91/4.41  % (30006)lrs+1010_1:1_aac=none:abs=on:bd=off:fd=off:nm=0:sas=z3:sims=off:tha=off:to=lpo:i=12098:si=on:rawr=on:rtra=on_0 on theBenchmark for (2960ds/12098Mi)
% 31.91/4.41  % (30007)lrs+10_1:1_ev=force:newcnf=on:sas=z3:spb=goal:tgt=full:tha=off:uwa=ground:i=7522:si=on:rawr=on:rtra=on_0 on theBenchmark for (2960ds/7522Mi)
% 32.52/4.46  % (29963)Instruction limit reached!
% 32.52/4.46  % (29963)------------------------------
% 32.52/4.46  % (29963)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 32.52/4.46  % (29963)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 32.52/4.46  % (29963)Termination reason: Unknown
% 32.52/4.46  % (29963)Termination phase: Saturation
% 32.52/4.46  
% 32.52/4.46  % (29963)Memory used [KB]: 7291
% 32.52/4.46  % (29963)Time elapsed: 3.418 s
% 32.52/4.46  % (29963)Instructions burned: 2307 (million)
% 32.52/4.46  % (29963)------------------------------
% 32.52/4.46  % (29963)------------------------------
% 32.84/4.51  % (29957)Refutation not found, non-redundant clauses discarded% (29957)------------------------------
% 32.84/4.51  % (29957)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 32.84/4.51  % (29957)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 32.84/4.51  % (29957)Termination reason: Refutation not found, non-redundant clauses discarded
% 32.84/4.51  
% 32.84/4.51  % (29957)Memory used [KB]: 10618
% 32.84/4.51  % (29957)Time elapsed: 3.601 s
% 32.84/4.51  % (29957)Instructions burned: 2171 (million)
% 32.84/4.51  % (29957)------------------------------
% 32.84/4.51  % (29957)------------------------------
% 33.22/4.56  % (30008)lrs+10_1:1_abs=on:afp=1000:nicw=on:sas=z3:tgt=ground:tha=off:uwa=all:i=9256:si=on:rawr=on:rtra=on_0 on theBenchmark for (2959ds/9256Mi)
% 33.22/4.59  % (30009)lrs+31_1:3_abs=on:add=large:afp=329:afq=1.2:anc=none:avsq=on:avsqr=160,201:awrs=decay:bce=on:bsr=unit_only:canc=cautious:etr=on:ev=force:flr=on:fs=off:fsd=on:fsr=off:irw=on:lcm=reverse:newcnf=on:nicw=on:nwc=1.55:pum=on:rnwc=on:s2agt=32:sas=z3:sffsmt=on:sims=off:skr=on:slsq=on:slsqc=2:slsqr=433504,723351:sp=unary_first:spb=goal_then_units:tgt=full:tha=some:to=lpo:uhcvi=on:uwa=one_side_constant:i=7507:si=on:rawr=on:rtra=on_0 on theBenchmark for (2959ds/7507Mi)
% 33.68/4.63  % (30010)lrs+11_9:8_amm=off:bsd=on:etr=on:fsd=on:fsr=off:lma=on:newcnf=on:nm=0:nwc=3.0:s2a=on:s2agt=10:sas=z3:tha=some:i=4725:si=on:rawr=on:rtra=on_0 on theBenchmark for (2958ds/4725Mi)
% 38.54/5.25  % (29978)Instruction limit reached!
% 38.54/5.25  % (29978)------------------------------
% 38.54/5.25  % (29978)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 38.54/5.25  % (29978)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 38.54/5.25  % (29978)Termination reason: Unknown
% 38.54/5.25  % (29978)Termination phase: Saturation
% 38.54/5.25  
% 38.54/5.25  % (29978)Memory used [KB]: 15351
% 38.54/5.25  % (29978)Time elapsed: 3.799 s
% 38.54/5.25  % (29978)Instructions burned: 2503 (million)
% 38.54/5.25  % (29978)------------------------------
% 38.54/5.25  % (29978)------------------------------
% 39.94/5.40  % (30011)lrs+11_1:1_avsq=on:avsql=on:avsqr=1,16:norm_ineq=on:nwc=10.0:plsq=on:sas=z3:tha=off:urr=on:i=6461:si=on:rawr=on:rtra=on_0 on theBenchmark for (2951ds/6461Mi)
% 40.37/5.46  % (29992)Instruction limit reached!
% 40.37/5.46  % (29992)------------------------------
% 40.37/5.46  % (29992)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 40.37/5.46  % (29992)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 40.37/5.46  % (29992)Termination reason: Unknown
% 40.37/5.46  % (29992)Termination phase: Saturation
% 40.37/5.46  
% 40.37/5.46  % (29992)Memory used [KB]: 15863
% 40.37/5.46  % (29992)Time elapsed: 3.130 s
% 40.37/5.46  % (29992)Instructions burned: 2662 (million)
% 40.37/5.46  % (29992)------------------------------
% 40.37/5.46  % (29992)------------------------------
% 41.00/5.57  % (30012)dis+1011_5:1_drc=off:kws=inv_arity_squared:nwc=5.0:plsq=on:plsqc=1:plsqr=32,1:s2a=on:s2at=2.1:urr=ec_only:i=11248:si=on:rawr=on:rtra=on_0 on theBenchmark for (2948ds/11248Mi)
% 47.31/6.33  % (29891)First to succeed.
% 47.53/6.36  % (30004)Instruction limit reached!
% 47.53/6.36  % (30004)------------------------------
% 47.53/6.36  % (30004)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 47.53/6.36  % (30004)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 47.53/6.36  % (30004)Termination reason: Unknown
% 47.53/6.36  % (30004)Termination phase: Saturation
% 47.53/6.36  
% 47.53/6.36  % (30004)Memory used [KB]: 4989
% 47.53/6.36  % (30004)Time elapsed: 2.350 s
% 47.53/6.36  % (30004)Instructions burned: 1743 (million)
% 47.53/6.36  % (30004)------------------------------
% 47.53/6.36  % (30004)------------------------------
% 47.53/6.38  % (29954)Instruction limit reached!
% 47.53/6.38  % (29954)------------------------------
% 47.53/6.38  % (29954)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 47.53/6.38  % (29954)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 47.53/6.38  % (29954)Termination reason: Unknown
% 47.53/6.38  % (29954)Termination phase: Saturation
% 47.53/6.38  
% 47.53/6.38  % (29954)Memory used [KB]: 29167
% 47.53/6.38  % (29954)Time elapsed: 5.563 s
% 47.53/6.38  % (29954)Instructions burned: 3721 (million)
% 47.53/6.38  % (29954)------------------------------
% 47.53/6.38  % (29954)------------------------------
% 47.53/6.39  % (29891)Refutation found. Thanks to Tanya!
% 47.53/6.39  % SZS status Theorem for theBenchmark
% 47.53/6.39  % SZS output start Proof for theBenchmark
% See solution above
% 47.53/6.40  % (29891)------------------------------
% 47.53/6.40  % (29891)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 47.53/6.40  % (29891)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 47.53/6.40  % (29891)Termination reason: Refutation
% 47.53/6.40  
% 47.53/6.40  % (29891)Memory used [KB]: 20084
% 47.53/6.40  % (29891)Time elapsed: 5.925 s
% 47.53/6.40  % (29891)Instructions burned: 3620 (million)
% 47.53/6.40  % (29891)------------------------------
% 47.53/6.40  % (29891)------------------------------
% 47.53/6.40  % (29890)Success in time 6.046 s
%------------------------------------------------------------------------------