TSTP Solution File: SWW527_5 by Vampire---4.8

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%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SWW527_5 : TPTP v8.1.2. Released v6.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s

% Computer : n007.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 : Sun May  5 11:18:52 EDT 2024

% Result   : Theorem 0.75s 0.91s
% Output   : Refutation 0.75s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   18
%            Number of leaves      :   74
% Syntax   : Number of formulae    :  149 (   8 unt;  56 typ;   0 def)
%            Number of atoms       :  445 ( 150 equ)
%            Maximal formula atoms :    8 (   4 avg)
%            Number of connectives :  623 ( 271   ~; 261   |;  25   &)
%                                         (  10 <=>;  56  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   13 (   8 avg)
%            Maximal term depth    :    5 (   2 avg)
%            Number of types       :    4 (   3 usr)
%            Number of type conns  :   65 (  36   >;  29   *;   0   +;   0  <<)
%            Number of predicates  :   18 (  16 usr;   7 prp; 0-5 aty)
%            Number of functors    :   43 (  43 usr;   8 con; 0-5 aty)
%            Number of variables   :  349 ( 273   !;  23   ?; 349   :)
%                                         (  53  !>;   0  ?*;   0  @-;   0  @+)

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

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

tff(type_def_7,type,
    huffma1450048681e_tree: $tType > $tType ).

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

tff(type_def_9,type,
    fun: ( $tType * $tType ) > $tType ).

tff(func_def_0,type,
    combb: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( fun(X0,X1) * fun(X2,X0) ) > fun(X2,X1) ) ).

tff(func_def_1,type,
    combc: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( fun(X0,fun(X1,X2)) * X1 ) > fun(X0,X2) ) ).

tff(func_def_2,type,
    combk: 
      !>[X0: $tType,X1: $tType] : ( X0 > fun(X1,X0) ) ).

tff(func_def_3,type,
    combs: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( fun(X0,fun(X1,X2)) * fun(X0,X1) ) > fun(X0,X2) ) ).

tff(func_def_4,type,
    huffma675207370phabet: 
      !>[X0: $tType] : ( huffma1450048681e_tree(X0) > fun(X0,bool) ) ).

tff(func_def_5,type,
    huffma1146269203erNode: 
      !>[X0: $tType] : ( ( nat * huffma1450048681e_tree(X0) * huffma1450048681e_tree(X0) ) > huffma1450048681e_tree(X0) ) ).

tff(func_def_6,type,
    huffma2021818691e_Leaf: 
      !>[X0: $tType] : ( ( nat * X0 ) > huffma1450048681e_tree(X0) ) ).

tff(func_def_7,type,
    huffma107959123e_case: 
      !>[X0: $tType,X1: $tType] : ( ( fun(nat,fun(X0,X1)) * fun(nat,fun(huffma1450048681e_tree(X0),fun(huffma1450048681e_tree(X0),X1))) * huffma1450048681e_tree(X0) ) > X1 ) ).

tff(func_def_8,type,
    huffma1280178957ee_rec: 
      !>[X0: $tType,X1: $tType] : ( ( fun(nat,fun(X0,X1)) * fun(nat,fun(huffma1450048681e_tree(X0),fun(huffma1450048681e_tree(X0),fun(X1,fun(X1,X1))))) * huffma1450048681e_tree(X0) ) > X1 ) ).

tff(func_def_9,type,
    inf_inf: 
      !>[X0: $tType] : ( ( X0 * X0 ) > X0 ) ).

tff(func_def_10,type,
    sup_sup: 
      !>[X0: $tType] : ( ( X0 * X0 ) > X0 ) ).

tff(func_def_11,type,
    bot_bot: 
      !>[X0: $tType] : X0 ).

tff(func_def_12,type,
    collect: 
      !>[X0: $tType] : ( fun(X0,bool) > fun(X0,bool) ) ).

tff(func_def_13,type,
    insert: 
      !>[X0: $tType] : ( ( X0 * fun(X0,bool) ) > fun(X0,bool) ) ).

tff(func_def_14,type,
    the_elem: 
      !>[X0: $tType] : ( fun(X0,bool) > X0 ) ).

tff(func_def_15,type,
    aa1: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * X0 ) > X1 ) ).

tff(func_def_16,type,
    fFalse: bool ).

tff(func_def_17,type,
    fNot: fun(bool,bool) ).

tff(func_def_18,type,
    fTrue: bool ).

tff(func_def_19,type,
    fconj: fun(bool,fun(bool,bool)) ).

tff(func_def_20,type,
    fdisj: fun(bool,fun(bool,bool)) ).

tff(func_def_21,type,
    fequal: 
      !>[X0: $tType] : fun(X0,fun(X0,bool)) ).

tff(func_def_22,type,
    fimplies: fun(bool,fun(bool,bool)) ).

tff(func_def_23,type,
    member: 
      !>[X0: $tType] : fun(X0,fun(fun(X0,bool),bool)) ).

tff(func_def_24,type,
    aa: a ).

tff(func_def_25,type,
    ta: huffma1450048681e_tree(a) ).

tff(func_def_26,type,
    sK2: 
      !>[X0: $tType] : ( huffma1450048681e_tree(X0) > nat ) ).

tff(func_def_27,type,
    sK3: 
      !>[X0: $tType] : ( huffma1450048681e_tree(X0) > huffma1450048681e_tree(X0) ) ).

tff(func_def_28,type,
    sK4: 
      !>[X0: $tType] : ( huffma1450048681e_tree(X0) > huffma1450048681e_tree(X0) ) ).

tff(func_def_29,type,
    sK5: 
      !>[X0: $tType] : ( huffma1450048681e_tree(X0) > nat ) ).

tff(func_def_30,type,
    sK6: 
      !>[X0: $tType] : ( huffma1450048681e_tree(X0) > X0 ) ).

tff(func_def_31,type,
    sK7: 
      !>[X0: $tType] : ( huffma1450048681e_tree(X0) > X0 ) ).

tff(func_def_32,type,
    sK8: 
      !>[X0: $tType] : ( fun(X0,bool) > X0 ) ).

tff(func_def_33,type,
    sK9: 
      !>[X0: $tType] : ( ( fun(X0,bool) * fun(X0,bool) ) > X0 ) ).

tff(func_def_34,type,
    sK10: 
      !>[X0: $tType] : ( ( fun(X0,bool) * fun(X0,bool) ) > X0 ) ).

tff(func_def_35,type,
    sK11: 
      !>[X0: $tType] : ( fun(X0,bool) > X0 ) ).

tff(func_def_36,type,
    sK12: 
      !>[X0: $tType] : ( fun(X0,bool) > X0 ) ).

tff(func_def_37,type,
    sK13: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * fun(X1,X0) ) > X1 ) ).

tff(func_def_38,type,
    sK14: 
      !>[X0: $tType] : ( ( fun(X0,bool) * X0 ) > fun(X0,bool) ) ).

tff(func_def_39,type,
    sK15: 
      !>[X0: $tType] : ( ( fun(X0,bool) * X0 ) > fun(X0,bool) ) ).

tff(func_def_40,type,
    sK16: 
      !>[X0: $tType] : ( ( X0 * fun(X0,bool) * X0 * fun(X0,bool) ) > fun(X0,bool) ) ).

tff(pred_def_1,type,
    bounded_lattice: 
      !>[X0: $tType] : $o ).

tff(pred_def_2,type,
    bot: 
      !>[X0: $tType] : $o ).

tff(pred_def_3,type,
    lattice: 
      !>[X0: $tType] : $o ).

tff(pred_def_4,type,
    semilattice_inf: 
      !>[X0: $tType] : $o ).

tff(pred_def_5,type,
    semilattice_sup: 
      !>[X0: $tType] : $o ).

tff(pred_def_6,type,
    bounded_lattice_bot: 
      !>[X0: $tType] : $o ).

tff(pred_def_7,type,
    huffma1518433673istent: 
      !>[X0: $tType] : ( huffma1450048681e_tree(X0) > $o ) ).

tff(pred_def_8,type,
    pp: bool > $o ).

tff(pred_def_10,type,
    sP0: 
      !>[X0: $tType] : ( ( X0 * fun(X0,bool) * X0 * fun(X0,bool) ) > $o ) ).

tff(pred_def_11,type,
    sP1: 
      !>[X0: $tType] : ( ( fun(X0,bool) * X0 * fun(X0,bool) * X0 ) > $o ) ).

tff(f594,plain,
    $false,
    inference(avatar_sat_refutation,[],[f491,f496,f501,f505,f506,f593]) ).

tff(f593,plain,
    ( ~ spl17_1
    | ~ spl17_3
    | ~ spl17_4
    | ~ spl17_5 ),
    inference(avatar_contradiction_clause,[],[f592]) ).

tff(f592,plain,
    ( $false
    | ~ spl17_1
    | ~ spl17_3
    | ~ spl17_4
    | ~ spl17_5 ),
    inference(subsumption_resolution,[],[f591,f486]) ).

tff(f486,plain,
    ( ! [X0: nat,X1: a] : ( ta != huffma2021818691e_Leaf(a,X0,X1) )
    | ~ spl17_1 ),
    inference(avatar_component_clause,[],[f485]) ).

tff(f485,plain,
    ( spl17_1
  <=> ! [X0: nat,X1: a] : ( ta != huffma2021818691e_Leaf(a,X0,X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl17_1])]) ).

tff(f591,plain,
    ( ( ta = huffma2021818691e_Leaf(a,sK5(a,ta),sK6(a,ta)) )
    | ~ spl17_1
    | ~ spl17_3
    | ~ spl17_4
    | ~ spl17_5 ),
    inference(subsumption_resolution,[],[f590,f327]) ).

tff(f327,plain,
    huffma1518433673istent(a,ta),
    inference(cnf_transformation,[],[f138]) ).

tff(f138,axiom,
    huffma1518433673istent(a,ta),
    file('/export/starexec/sandbox2/tmp/tmp.w6PspCiFBG/Vampire---4.8_23904',conj_0) ).

tff(f590,plain,
    ( ~ huffma1518433673istent(a,ta)
    | ( ta = huffma2021818691e_Leaf(a,sK5(a,ta),sK6(a,ta)) )
    | ~ spl17_1
    | ~ spl17_3
    | ~ spl17_4
    | ~ spl17_5 ),
    inference(superposition,[],[f588,f340]) ).

tff(f340,plain,
    ! [X0: $tType,X1: huffma1450048681e_tree(X0)] :
      ( ( huffma1146269203erNode(X0,sK2(X0,X1),sK3(X0,X1),sK4(X0,X1)) = X1 )
      | ( huffma2021818691e_Leaf(X0,sK5(X0,X1),sK6(X0,X1)) = X1 ) ),
    inference(cnf_transformation,[],[f280]) ).

tff(f280,plain,
    ! [X0: $tType,X1: huffma1450048681e_tree(X0)] :
      ( ( huffma1146269203erNode(X0,sK2(X0,X1),sK3(X0,X1),sK4(X0,X1)) = X1 )
      | ( huffma2021818691e_Leaf(X0,sK5(X0,X1),sK6(X0,X1)) = X1 ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK2,sK3,sK4,sK5,sK6])],[f277,f279,f278]) ).

tff(f278,plain,
    ! [X0: $tType,X1: huffma1450048681e_tree(X0)] :
      ( ? [X2: nat,X3: huffma1450048681e_tree(X0),X4: huffma1450048681e_tree(X0)] : ( huffma1146269203erNode(X0,X2,X3,X4) = X1 )
     => ( huffma1146269203erNode(X0,sK2(X0,X1),sK3(X0,X1),sK4(X0,X1)) = X1 ) ),
    introduced(choice_axiom,[]) ).

tff(f279,plain,
    ! [X0: $tType,X1: huffma1450048681e_tree(X0)] :
      ( ? [X5: nat,X6: X0] : ( huffma2021818691e_Leaf(X0,X5,X6) = X1 )
     => ( huffma2021818691e_Leaf(X0,sK5(X0,X1),sK6(X0,X1)) = X1 ) ),
    introduced(choice_axiom,[]) ).

tff(f277,plain,
    ! [X0: $tType,X1: huffma1450048681e_tree(X0)] :
      ( ? [X2: nat,X3: huffma1450048681e_tree(X0),X4: huffma1450048681e_tree(X0)] : ( huffma1146269203erNode(X0,X2,X3,X4) = X1 )
      | ? [X5: nat,X6: X0] : ( huffma2021818691e_Leaf(X0,X5,X6) = X1 ) ),
    inference(rectify,[],[f232]) ).

tff(f232,plain,
    ! [X0: $tType,X1: huffma1450048681e_tree(X0)] :
      ( ? [X4: nat,X5: huffma1450048681e_tree(X0),X6: huffma1450048681e_tree(X0)] : ( huffma1146269203erNode(X0,X4,X5,X6) = X1 )
      | ? [X2: nat,X3: X0] : ( huffma2021818691e_Leaf(X0,X2,X3) = X1 ) ),
    inference(ennf_transformation,[],[f154]) ).

tff(f154,plain,
    ! [X0: $tType,X1: huffma1450048681e_tree(X0)] :
      ( ! [X2: nat,X3: X0] : ( huffma2021818691e_Leaf(X0,X2,X3) != X1 )
     => ~ ! [X4: nat,X5: huffma1450048681e_tree(X0),X6: huffma1450048681e_tree(X0)] : ( huffma1146269203erNode(X0,X4,X5,X6) != X1 ) ),
    inference(rectify,[],[f57]) ).

tff(f57,axiom,
    ! [X0: $tType,X27: huffma1450048681e_tree(X0)] :
      ( ! [X41: nat,X38: X0] : ( huffma2021818691e_Leaf(X0,X41,X38) != X27 )
     => ~ ! [X41: nat,X42: huffma1450048681e_tree(X0),X43: huffma1450048681e_tree(X0)] : ( huffma1146269203erNode(X0,X41,X42,X43) != X27 ) ),
    file('/export/starexec/sandbox2/tmp/tmp.w6PspCiFBG/Vampire---4.8_23904',fact_56_tree_Oexhaust) ).

tff(f588,plain,
    ( ! [X0: nat] : ~ huffma1518433673istent(a,huffma1146269203erNode(a,X0,sK3(a,ta),sK4(a,ta)))
    | ~ spl17_1
    | ~ spl17_3
    | ~ spl17_4
    | ~ spl17_5 ),
    inference(subsumption_resolution,[],[f587,f486]) ).

tff(f587,plain,
    ( ! [X0: nat] :
        ( ~ huffma1518433673istent(a,huffma1146269203erNode(a,X0,sK3(a,ta),sK4(a,ta)))
        | ( ta = huffma2021818691e_Leaf(a,sK5(a,ta),sK6(a,ta)) ) )
    | ~ spl17_3
    | ~ spl17_4
    | ~ spl17_5 ),
    inference(equality_resolution,[],[f582]) ).

tff(f582,plain,
    ( ! [X0: huffma1450048681e_tree(a),X1: nat] :
        ( ( ta != X0 )
        | ~ huffma1518433673istent(a,huffma1146269203erNode(a,X1,sK3(a,X0),sK4(a,X0)))
        | ( huffma2021818691e_Leaf(a,sK5(a,X0),sK6(a,X0)) = X0 ) )
    | ~ spl17_3
    | ~ spl17_4
    | ~ spl17_5 ),
    inference(superposition,[],[f576,f340]) ).

tff(f576,plain,
    ( ! [X2: nat,X3: nat,X0: huffma1450048681e_tree(a),X1: huffma1450048681e_tree(a)] :
        ( ( ta != huffma1146269203erNode(a,X2,X0,X1) )
        | ~ huffma1518433673istent(a,huffma1146269203erNode(a,X3,X0,X1)) )
    | ~ spl17_3
    | ~ spl17_4
    | ~ spl17_5 ),
    inference(subsumption_resolution,[],[f575,f543]) ).

tff(f543,plain,
    ( ! [X2: nat,X3: nat,X0: huffma1450048681e_tree(a),X1: huffma1450048681e_tree(a)] :
        ( ( ta != huffma1146269203erNode(a,X2,X0,X1) )
        | ~ pp(aa1(fun(a,bool),bool,aa1(a,fun(fun(a,bool),bool),member(a),aa),huffma675207370phabet(a,X1)))
        | ~ huffma1518433673istent(a,huffma1146269203erNode(a,X3,X0,X1)) )
    | ~ spl17_4 ),
    inference(subsumption_resolution,[],[f542,f333]) ).

tff(f333,plain,
    ! [X0: $tType,X2: huffma1450048681e_tree(X0),X3: nat,X1: huffma1450048681e_tree(X0)] :
      ( ~ huffma1518433673istent(X0,huffma1146269203erNode(X0,X3,X2,X1))
      | huffma1518433673istent(X0,X2) ),
    inference(cnf_transformation,[],[f276]) ).

tff(f276,plain,
    ! [X0: $tType,X1: huffma1450048681e_tree(X0),X2: huffma1450048681e_tree(X0),X3: nat] :
      ( ( huffma1518433673istent(X0,huffma1146269203erNode(X0,X3,X2,X1))
        | ( inf_inf(fun(X0,bool),huffma675207370phabet(X0,X2),huffma675207370phabet(X0,X1)) != bot_bot(fun(X0,bool)) )
        | ~ huffma1518433673istent(X0,X1)
        | ~ huffma1518433673istent(X0,X2) )
      & ( ( ( inf_inf(fun(X0,bool),huffma675207370phabet(X0,X2),huffma675207370phabet(X0,X1)) = bot_bot(fun(X0,bool)) )
          & huffma1518433673istent(X0,X1)
          & huffma1518433673istent(X0,X2) )
        | ~ huffma1518433673istent(X0,huffma1146269203erNode(X0,X3,X2,X1)) ) ),
    inference(flattening,[],[f275]) ).

tff(f275,plain,
    ! [X0: $tType,X1: huffma1450048681e_tree(X0),X2: huffma1450048681e_tree(X0),X3: nat] :
      ( ( huffma1518433673istent(X0,huffma1146269203erNode(X0,X3,X2,X1))
        | ( inf_inf(fun(X0,bool),huffma675207370phabet(X0,X2),huffma675207370phabet(X0,X1)) != bot_bot(fun(X0,bool)) )
        | ~ huffma1518433673istent(X0,X1)
        | ~ huffma1518433673istent(X0,X2) )
      & ( ( ( inf_inf(fun(X0,bool),huffma675207370phabet(X0,X2),huffma675207370phabet(X0,X1)) = bot_bot(fun(X0,bool)) )
          & huffma1518433673istent(X0,X1)
          & huffma1518433673istent(X0,X2) )
        | ~ huffma1518433673istent(X0,huffma1146269203erNode(X0,X3,X2,X1)) ) ),
    inference(nnf_transformation,[],[f150]) ).

tff(f150,plain,
    ! [X0: $tType,X1: huffma1450048681e_tree(X0),X2: huffma1450048681e_tree(X0),X3: nat] :
      ( huffma1518433673istent(X0,huffma1146269203erNode(X0,X3,X2,X1))
    <=> ( ( inf_inf(fun(X0,bool),huffma675207370phabet(X0,X2),huffma675207370phabet(X0,X1)) = bot_bot(fun(X0,bool)) )
        & huffma1518433673istent(X0,X1)
        & huffma1518433673istent(X0,X2) ) ),
    inference(rectify,[],[f4]) ).

tff(f4,axiom,
    ! [X1: $tType,X14: huffma1450048681e_tree(X1),X15: huffma1450048681e_tree(X1),X16: nat] :
      ( huffma1518433673istent(X1,huffma1146269203erNode(X1,X16,X15,X14))
    <=> ( ( inf_inf(fun(X1,bool),huffma675207370phabet(X1,X15),huffma675207370phabet(X1,X14)) = bot_bot(fun(X1,bool)) )
        & huffma1518433673istent(X1,X14)
        & huffma1518433673istent(X1,X15) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.w6PspCiFBG/Vampire---4.8_23904',fact_3_consistent_Osimps_I2_J) ).

tff(f542,plain,
    ( ! [X2: nat,X3: nat,X0: huffma1450048681e_tree(a),X1: huffma1450048681e_tree(a)] :
        ( ~ huffma1518433673istent(a,X0)
        | ( ta != huffma1146269203erNode(a,X2,X0,X1) )
        | ~ pp(aa1(fun(a,bool),bool,aa1(a,fun(fun(a,bool),bool),member(a),aa),huffma675207370phabet(a,X1)))
        | ~ huffma1518433673istent(a,huffma1146269203erNode(a,X3,X0,X1)) )
    | ~ spl17_4 ),
    inference(subsumption_resolution,[],[f539,f334]) ).

tff(f334,plain,
    ! [X0: $tType,X2: huffma1450048681e_tree(X0),X3: nat,X1: huffma1450048681e_tree(X0)] :
      ( ~ huffma1518433673istent(X0,huffma1146269203erNode(X0,X3,X2,X1))
      | huffma1518433673istent(X0,X1) ),
    inference(cnf_transformation,[],[f276]) ).

tff(f539,plain,
    ( ! [X2: nat,X3: nat,X0: huffma1450048681e_tree(a),X1: huffma1450048681e_tree(a)] :
        ( ~ huffma1518433673istent(a,X0)
        | ~ huffma1518433673istent(a,X1)
        | ( ta != huffma1146269203erNode(a,X2,X0,X1) )
        | ~ pp(aa1(fun(a,bool),bool,aa1(a,fun(fun(a,bool),bool),member(a),aa),huffma675207370phabet(a,X1)))
        | ~ huffma1518433673istent(a,huffma1146269203erNode(a,X3,X0,X1)) )
    | ~ spl17_4 ),
    inference(trivial_inequality_removal,[],[f532]) ).

tff(f532,plain,
    ( ! [X2: nat,X3: nat,X0: huffma1450048681e_tree(a),X1: huffma1450048681e_tree(a)] :
        ( ( bot_bot(fun(a,bool)) != bot_bot(fun(a,bool)) )
        | ~ huffma1518433673istent(a,X0)
        | ~ huffma1518433673istent(a,X1)
        | ( ta != huffma1146269203erNode(a,X2,X0,X1) )
        | ~ pp(aa1(fun(a,bool),bool,aa1(a,fun(fun(a,bool),bool),member(a),aa),huffma675207370phabet(a,X1)))
        | ~ huffma1518433673istent(a,huffma1146269203erNode(a,X3,X0,X1)) )
    | ~ spl17_4 ),
    inference(superposition,[],[f500,f335]) ).

tff(f335,plain,
    ! [X0: $tType,X2: huffma1450048681e_tree(X0),X3: nat,X1: huffma1450048681e_tree(X0)] :
      ( ( inf_inf(fun(X0,bool),huffma675207370phabet(X0,X2),huffma675207370phabet(X0,X1)) = bot_bot(fun(X0,bool)) )
      | ~ huffma1518433673istent(X0,huffma1146269203erNode(X0,X3,X2,X1)) ),
    inference(cnf_transformation,[],[f276]) ).

tff(f500,plain,
    ( ! [X2: huffma1450048681e_tree(a),X0: nat,X1: huffma1450048681e_tree(a)] :
        ( ( bot_bot(fun(a,bool)) != inf_inf(fun(a,bool),huffma675207370phabet(a,X1),huffma675207370phabet(a,X2)) )
        | ~ huffma1518433673istent(a,X1)
        | ~ huffma1518433673istent(a,X2)
        | ( ta != huffma1146269203erNode(a,X0,X1,X2) )
        | ~ pp(aa1(fun(a,bool),bool,aa1(a,fun(fun(a,bool),bool),member(a),aa),huffma675207370phabet(a,X2))) )
    | ~ spl17_4 ),
    inference(avatar_component_clause,[],[f499]) ).

tff(f499,plain,
    ( spl17_4
  <=> ! [X2: huffma1450048681e_tree(a),X0: nat,X1: huffma1450048681e_tree(a)] :
        ( ( ta != huffma1146269203erNode(a,X0,X1,X2) )
        | ~ huffma1518433673istent(a,X1)
        | ~ huffma1518433673istent(a,X2)
        | ( bot_bot(fun(a,bool)) != inf_inf(fun(a,bool),huffma675207370phabet(a,X1),huffma675207370phabet(a,X2)) )
        | ~ pp(aa1(fun(a,bool),bool,aa1(a,fun(fun(a,bool),bool),member(a),aa),huffma675207370phabet(a,X2))) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl17_4])]) ).

tff(f575,plain,
    ( ! [X2: nat,X3: nat,X0: huffma1450048681e_tree(a),X1: huffma1450048681e_tree(a)] :
        ( ( ta != huffma1146269203erNode(a,X2,X0,X1) )
        | pp(aa1(fun(a,bool),bool,aa1(a,fun(fun(a,bool),bool),member(a),aa),huffma675207370phabet(a,X1)))
        | ~ huffma1518433673istent(a,huffma1146269203erNode(a,X3,X0,X1)) )
    | ~ spl17_3
    | ~ spl17_5 ),
    inference(subsumption_resolution,[],[f574,f524]) ).

tff(f524,plain,
    ( ! [X2: nat,X3: nat,X0: huffma1450048681e_tree(a),X1: huffma1450048681e_tree(a)] :
        ( ( ta != huffma1146269203erNode(a,X2,X0,X1) )
        | ~ pp(aa1(fun(a,bool),bool,aa1(a,fun(fun(a,bool),bool),member(a),aa),huffma675207370phabet(a,X0)))
        | ~ huffma1518433673istent(a,huffma1146269203erNode(a,X3,X0,X1)) )
    | ~ spl17_3 ),
    inference(subsumption_resolution,[],[f523,f333]) ).

tff(f523,plain,
    ( ! [X2: nat,X3: nat,X0: huffma1450048681e_tree(a),X1: huffma1450048681e_tree(a)] :
        ( ~ huffma1518433673istent(a,X0)
        | ( ta != huffma1146269203erNode(a,X2,X0,X1) )
        | ~ pp(aa1(fun(a,bool),bool,aa1(a,fun(fun(a,bool),bool),member(a),aa),huffma675207370phabet(a,X0)))
        | ~ huffma1518433673istent(a,huffma1146269203erNode(a,X3,X0,X1)) )
    | ~ spl17_3 ),
    inference(subsumption_resolution,[],[f520,f334]) ).

tff(f520,plain,
    ( ! [X2: nat,X3: nat,X0: huffma1450048681e_tree(a),X1: huffma1450048681e_tree(a)] :
        ( ~ huffma1518433673istent(a,X0)
        | ~ huffma1518433673istent(a,X1)
        | ( ta != huffma1146269203erNode(a,X2,X0,X1) )
        | ~ pp(aa1(fun(a,bool),bool,aa1(a,fun(fun(a,bool),bool),member(a),aa),huffma675207370phabet(a,X0)))
        | ~ huffma1518433673istent(a,huffma1146269203erNode(a,X3,X0,X1)) )
    | ~ spl17_3 ),
    inference(trivial_inequality_removal,[],[f513]) ).

tff(f513,plain,
    ( ! [X2: nat,X3: nat,X0: huffma1450048681e_tree(a),X1: huffma1450048681e_tree(a)] :
        ( ( bot_bot(fun(a,bool)) != bot_bot(fun(a,bool)) )
        | ~ huffma1518433673istent(a,X0)
        | ~ huffma1518433673istent(a,X1)
        | ( ta != huffma1146269203erNode(a,X2,X0,X1) )
        | ~ pp(aa1(fun(a,bool),bool,aa1(a,fun(fun(a,bool),bool),member(a),aa),huffma675207370phabet(a,X0)))
        | ~ huffma1518433673istent(a,huffma1146269203erNode(a,X3,X0,X1)) )
    | ~ spl17_3 ),
    inference(superposition,[],[f495,f335]) ).

tff(f495,plain,
    ( ! [X2: huffma1450048681e_tree(a),X0: nat,X1: huffma1450048681e_tree(a)] :
        ( ( bot_bot(fun(a,bool)) != inf_inf(fun(a,bool),huffma675207370phabet(a,X1),huffma675207370phabet(a,X2)) )
        | ~ huffma1518433673istent(a,X1)
        | ~ huffma1518433673istent(a,X2)
        | ( ta != huffma1146269203erNode(a,X0,X1,X2) )
        | ~ pp(aa1(fun(a,bool),bool,aa1(a,fun(fun(a,bool),bool),member(a),aa),huffma675207370phabet(a,X1))) )
    | ~ spl17_3 ),
    inference(avatar_component_clause,[],[f494]) ).

tff(f494,plain,
    ( spl17_3
  <=> ! [X2: huffma1450048681e_tree(a),X0: nat,X1: huffma1450048681e_tree(a)] :
        ( ( ta != huffma1146269203erNode(a,X0,X1,X2) )
        | ~ huffma1518433673istent(a,X1)
        | ~ huffma1518433673istent(a,X2)
        | ( bot_bot(fun(a,bool)) != inf_inf(fun(a,bool),huffma675207370phabet(a,X1),huffma675207370phabet(a,X2)) )
        | ~ pp(aa1(fun(a,bool),bool,aa1(a,fun(fun(a,bool),bool),member(a),aa),huffma675207370phabet(a,X1))) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl17_3])]) ).

tff(f574,plain,
    ( ! [X2: nat,X3: nat,X0: huffma1450048681e_tree(a),X1: huffma1450048681e_tree(a)] :
        ( ( ta != huffma1146269203erNode(a,X2,X0,X1) )
        | pp(aa1(fun(a,bool),bool,aa1(a,fun(fun(a,bool),bool),member(a),aa),huffma675207370phabet(a,X0)))
        | pp(aa1(fun(a,bool),bool,aa1(a,fun(fun(a,bool),bool),member(a),aa),huffma675207370phabet(a,X1)))
        | ~ huffma1518433673istent(a,huffma1146269203erNode(a,X3,X0,X1)) )
    | ~ spl17_5 ),
    inference(subsumption_resolution,[],[f573,f333]) ).

tff(f573,plain,
    ( ! [X2: nat,X3: nat,X0: huffma1450048681e_tree(a),X1: huffma1450048681e_tree(a)] :
        ( ~ huffma1518433673istent(a,X0)
        | ( ta != huffma1146269203erNode(a,X2,X0,X1) )
        | pp(aa1(fun(a,bool),bool,aa1(a,fun(fun(a,bool),bool),member(a),aa),huffma675207370phabet(a,X0)))
        | pp(aa1(fun(a,bool),bool,aa1(a,fun(fun(a,bool),bool),member(a),aa),huffma675207370phabet(a,X1)))
        | ~ huffma1518433673istent(a,huffma1146269203erNode(a,X3,X0,X1)) )
    | ~ spl17_5 ),
    inference(subsumption_resolution,[],[f558,f334]) ).

tff(f558,plain,
    ( ! [X2: nat,X3: nat,X0: huffma1450048681e_tree(a),X1: huffma1450048681e_tree(a)] :
        ( ~ huffma1518433673istent(a,X0)
        | ~ huffma1518433673istent(a,X1)
        | ( ta != huffma1146269203erNode(a,X2,X0,X1) )
        | pp(aa1(fun(a,bool),bool,aa1(a,fun(fun(a,bool),bool),member(a),aa),huffma675207370phabet(a,X0)))
        | pp(aa1(fun(a,bool),bool,aa1(a,fun(fun(a,bool),bool),member(a),aa),huffma675207370phabet(a,X1)))
        | ~ huffma1518433673istent(a,huffma1146269203erNode(a,X3,X0,X1)) )
    | ~ spl17_5 ),
    inference(trivial_inequality_removal,[],[f551]) ).

tff(f551,plain,
    ( ! [X2: nat,X3: nat,X0: huffma1450048681e_tree(a),X1: huffma1450048681e_tree(a)] :
        ( ( bot_bot(fun(a,bool)) != bot_bot(fun(a,bool)) )
        | ~ huffma1518433673istent(a,X0)
        | ~ huffma1518433673istent(a,X1)
        | ( ta != huffma1146269203erNode(a,X2,X0,X1) )
        | pp(aa1(fun(a,bool),bool,aa1(a,fun(fun(a,bool),bool),member(a),aa),huffma675207370phabet(a,X0)))
        | pp(aa1(fun(a,bool),bool,aa1(a,fun(fun(a,bool),bool),member(a),aa),huffma675207370phabet(a,X1)))
        | ~ huffma1518433673istent(a,huffma1146269203erNode(a,X3,X0,X1)) )
    | ~ spl17_5 ),
    inference(superposition,[],[f504,f335]) ).

tff(f504,plain,
    ( ! [X2: huffma1450048681e_tree(a),X0: nat,X1: huffma1450048681e_tree(a)] :
        ( ( bot_bot(fun(a,bool)) != inf_inf(fun(a,bool),huffma675207370phabet(a,X1),huffma675207370phabet(a,X2)) )
        | ~ huffma1518433673istent(a,X1)
        | ~ huffma1518433673istent(a,X2)
        | ( ta != huffma1146269203erNode(a,X0,X1,X2) )
        | pp(aa1(fun(a,bool),bool,aa1(a,fun(fun(a,bool),bool),member(a),aa),huffma675207370phabet(a,X1)))
        | pp(aa1(fun(a,bool),bool,aa1(a,fun(fun(a,bool),bool),member(a),aa),huffma675207370phabet(a,X2))) )
    | ~ spl17_5 ),
    inference(avatar_component_clause,[],[f503]) ).

tff(f503,plain,
    ( spl17_5
  <=> ! [X2: huffma1450048681e_tree(a),X0: nat,X1: huffma1450048681e_tree(a)] :
        ( ( ta != huffma1146269203erNode(a,X0,X1,X2) )
        | ~ huffma1518433673istent(a,X1)
        | ~ huffma1518433673istent(a,X2)
        | ( bot_bot(fun(a,bool)) != inf_inf(fun(a,bool),huffma675207370phabet(a,X1),huffma675207370phabet(a,X2)) )
        | pp(aa1(fun(a,bool),bool,aa1(a,fun(fun(a,bool),bool),member(a),aa),huffma675207370phabet(a,X1)))
        | pp(aa1(fun(a,bool),bool,aa1(a,fun(fun(a,bool),bool),member(a),aa),huffma675207370phabet(a,X2))) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl17_5])]) ).

tff(f506,plain,
    ~ spl17_2,
    inference(avatar_split_clause,[],[f332,f488]) ).

tff(f488,plain,
    ( spl17_2
  <=> pa ),
    introduced(avatar_definition,[new_symbols(naming,[spl17_2])]) ).

tff(f332,plain,
    ~ pa,
    inference(cnf_transformation,[],[f149]) ).

tff(f149,plain,
    ~ pa,
    inference(flattening,[],[f144]) ).

tff(f144,negated_conjecture,
    ~ pa,
    inference(negated_conjecture,[],[f143]) ).

tff(f143,conjecture,
    pa,
    file('/export/starexec/sandbox2/tmp/tmp.w6PspCiFBG/Vampire---4.8_23904',conj_5) ).

tff(f505,plain,
    ( spl17_5
    | spl17_2 ),
    inference(avatar_split_clause,[],[f456,f488,f503]) ).

tff(f456,plain,
    ! [X2: huffma1450048681e_tree(a),X0: nat,X1: huffma1450048681e_tree(a)] :
      ( pa
      | ( ta != huffma1146269203erNode(a,X0,X1,X2) )
      | pp(aa1(fun(a,bool),bool,aa1(a,fun(fun(a,bool),bool),member(a),aa),huffma675207370phabet(a,X2)))
      | pp(aa1(fun(a,bool),bool,aa1(a,fun(fun(a,bool),bool),member(a),aa),huffma675207370phabet(a,X1)))
      | ( bot_bot(fun(a,bool)) != inf_inf(fun(a,bool),huffma675207370phabet(a,X1),huffma675207370phabet(a,X2)) )
      | ~ huffma1518433673istent(a,X2)
      | ~ huffma1518433673istent(a,X1) ),
    inference(equality_resolution,[],[f331]) ).

tff(f331,plain,
    ! [X2: huffma1450048681e_tree(a),X3: a,X0: nat,X1: huffma1450048681e_tree(a)] :
      ( pa
      | ( aa != X3 )
      | ( ta != huffma1146269203erNode(a,X0,X1,X2) )
      | pp(aa1(fun(a,bool),bool,aa1(a,fun(fun(a,bool),bool),member(a),X3),huffma675207370phabet(a,X2)))
      | pp(aa1(fun(a,bool),bool,aa1(a,fun(fun(a,bool),bool),member(a),X3),huffma675207370phabet(a,X1)))
      | ( bot_bot(fun(a,bool)) != inf_inf(fun(a,bool),huffma675207370phabet(a,X1),huffma675207370phabet(a,X2)) )
      | ~ huffma1518433673istent(a,X2)
      | ~ huffma1518433673istent(a,X1) ),
    inference(cnf_transformation,[],[f231]) ).

tff(f231,plain,
    ! [X0: nat,X1: huffma1450048681e_tree(a),X2: huffma1450048681e_tree(a),X3: a] :
      ( pa
      | ( aa != X3 )
      | ( ta != huffma1146269203erNode(a,X0,X1,X2) )
      | pp(aa1(fun(a,bool),bool,aa1(a,fun(fun(a,bool),bool),member(a),X3),huffma675207370phabet(a,X2)))
      | pp(aa1(fun(a,bool),bool,aa1(a,fun(fun(a,bool),bool),member(a),X3),huffma675207370phabet(a,X1)))
      | ( bot_bot(fun(a,bool)) != inf_inf(fun(a,bool),huffma675207370phabet(a,X1),huffma675207370phabet(a,X2)) )
      | ~ huffma1518433673istent(a,X2)
      | ~ huffma1518433673istent(a,X1) ),
    inference(flattening,[],[f230]) ).

tff(f230,plain,
    ! [X0: nat,X1: huffma1450048681e_tree(a),X2: huffma1450048681e_tree(a),X3: a] :
      ( pa
      | ( aa != X3 )
      | ( ta != huffma1146269203erNode(a,X0,X1,X2) )
      | pp(aa1(fun(a,bool),bool,aa1(a,fun(fun(a,bool),bool),member(a),X3),huffma675207370phabet(a,X2)))
      | pp(aa1(fun(a,bool),bool,aa1(a,fun(fun(a,bool),bool),member(a),X3),huffma675207370phabet(a,X1)))
      | ( bot_bot(fun(a,bool)) != inf_inf(fun(a,bool),huffma675207370phabet(a,X1),huffma675207370phabet(a,X2)) )
      | ~ huffma1518433673istent(a,X2)
      | ~ huffma1518433673istent(a,X1) ),
    inference(ennf_transformation,[],[f148]) ).

tff(f148,plain,
    ! [X0: nat,X1: huffma1450048681e_tree(a),X2: huffma1450048681e_tree(a),X3: a] :
      ( huffma1518433673istent(a,X1)
     => ( huffma1518433673istent(a,X2)
       => ( ( bot_bot(fun(a,bool)) = inf_inf(fun(a,bool),huffma675207370phabet(a,X1),huffma675207370phabet(a,X2)) )
         => ( ~ pp(aa1(fun(a,bool),bool,aa1(a,fun(fun(a,bool),bool),member(a),X3),huffma675207370phabet(a,X1)))
           => ( ~ pp(aa1(fun(a,bool),bool,aa1(a,fun(fun(a,bool),bool),member(a),X3),huffma675207370phabet(a,X2)))
             => ( ( ta = huffma1146269203erNode(a,X0,X1,X2) )
               => ( ( aa = X3 )
                 => pa ) ) ) ) ) ) ),
    inference(rectify,[],[f142]) ).

tff(f142,axiom,
    ! [X59: nat,X60: huffma1450048681e_tree(a),X61: huffma1450048681e_tree(a),X58: a] :
      ( huffma1518433673istent(a,X60)
     => ( huffma1518433673istent(a,X61)
       => ( ( inf_inf(fun(a,bool),huffma675207370phabet(a,X60),huffma675207370phabet(a,X61)) = bot_bot(fun(a,bool)) )
         => ( ~ pp(aa1(fun(a,bool),bool,aa1(a,fun(fun(a,bool),bool),member(a),X58),huffma675207370phabet(a,X60)))
           => ( ~ pp(aa1(fun(a,bool),bool,aa1(a,fun(fun(a,bool),bool),member(a),X58),huffma675207370phabet(a,X61)))
             => ( ( ta = huffma1146269203erNode(a,X59,X60,X61) )
               => ( ( aa = X58 )
                 => pa ) ) ) ) ) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.w6PspCiFBG/Vampire---4.8_23904',conj_4) ).

tff(f501,plain,
    ( spl17_4
    | spl17_2 ),
    inference(avatar_split_clause,[],[f497,f488,f499]) ).

tff(f497,plain,
    ! [X2: huffma1450048681e_tree(a),X0: nat,X1: huffma1450048681e_tree(a)] :
      ( pa
      | ( ta != huffma1146269203erNode(a,X0,X1,X2) )
      | ~ pp(aa1(fun(a,bool),bool,aa1(a,fun(fun(a,bool),bool),member(a),aa),huffma675207370phabet(a,X2)))
      | ( bot_bot(fun(a,bool)) != inf_inf(fun(a,bool),huffma675207370phabet(a,X1),huffma675207370phabet(a,X2)) )
      | ~ huffma1518433673istent(a,X2)
      | ~ huffma1518433673istent(a,X1) ),
    inference(subsumption_resolution,[],[f455,f467]) ).

tff(f467,plain,
    ! [X0: $tType,X2: fun(X0,bool),X1: fun(X0,bool),X6: X0] :
      ( ( bot_bot(fun(X0,bool)) != inf_inf(fun(X0,bool),X2,X1) )
      | ~ pp(aa1(fun(X0,bool),bool,aa1(X0,fun(fun(X0,bool),bool),member(X0),X6),X2))
      | ~ pp(aa1(fun(X0,bool),bool,aa1(X0,fun(fun(X0,bool),bool),member(X0),X6),X1)) ),
    inference(equality_resolution,[],[f380]) ).

tff(f380,plain,
    ! [X0: $tType,X2: fun(X0,bool),X1: fun(X0,bool),X6: X0,X5: X0] :
      ( ( X5 != X6 )
      | ~ pp(aa1(fun(X0,bool),bool,aa1(X0,fun(fun(X0,bool),bool),member(X0),X6),X1))
      | ~ pp(aa1(fun(X0,bool),bool,aa1(X0,fun(fun(X0,bool),bool),member(X0),X5),X2))
      | ( bot_bot(fun(X0,bool)) != inf_inf(fun(X0,bool),X2,X1) ) ),
    inference(cnf_transformation,[],[f296]) ).

tff(f296,plain,
    ! [X0: $tType,X1: fun(X0,bool),X2: fun(X0,bool)] :
      ( ( ( bot_bot(fun(X0,bool)) = inf_inf(fun(X0,bool),X2,X1) )
        | ( ( sK9(X0,X1,X2) = sK10(X0,X1,X2) )
          & pp(aa1(fun(X0,bool),bool,aa1(X0,fun(fun(X0,bool),bool),member(X0),sK10(X0,X1,X2)),X1))
          & pp(aa1(fun(X0,bool),bool,aa1(X0,fun(fun(X0,bool),bool),member(X0),sK9(X0,X1,X2)),X2)) ) )
      & ( ! [X5: X0] :
            ( ! [X6: X0] :
                ( ( X5 != X6 )
                | ~ pp(aa1(fun(X0,bool),bool,aa1(X0,fun(fun(X0,bool),bool),member(X0),X6),X1)) )
            | ~ pp(aa1(fun(X0,bool),bool,aa1(X0,fun(fun(X0,bool),bool),member(X0),X5),X2)) )
        | ( bot_bot(fun(X0,bool)) != inf_inf(fun(X0,bool),X2,X1) ) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK9,sK10])],[f293,f295,f294]) ).

tff(f294,plain,
    ! [X0: $tType,X1: fun(X0,bool),X2: fun(X0,bool)] :
      ( ? [X3: X0] :
          ( ? [X4: X0] :
              ( ( X3 = X4 )
              & pp(aa1(fun(X0,bool),bool,aa1(X0,fun(fun(X0,bool),bool),member(X0),X4),X1)) )
          & pp(aa1(fun(X0,bool),bool,aa1(X0,fun(fun(X0,bool),bool),member(X0),X3),X2)) )
     => ( ? [X4: X0] :
            ( ( sK9(X0,X1,X2) = X4 )
            & pp(aa1(fun(X0,bool),bool,aa1(X0,fun(fun(X0,bool),bool),member(X0),X4),X1)) )
        & pp(aa1(fun(X0,bool),bool,aa1(X0,fun(fun(X0,bool),bool),member(X0),sK9(X0,X1,X2)),X2)) ) ),
    introduced(choice_axiom,[]) ).

tff(f295,plain,
    ! [X0: $tType,X1: fun(X0,bool),X2: fun(X0,bool)] :
      ( ? [X4: X0] :
          ( ( sK9(X0,X1,X2) = X4 )
          & pp(aa1(fun(X0,bool),bool,aa1(X0,fun(fun(X0,bool),bool),member(X0),X4),X1)) )
     => ( ( sK9(X0,X1,X2) = sK10(X0,X1,X2) )
        & pp(aa1(fun(X0,bool),bool,aa1(X0,fun(fun(X0,bool),bool),member(X0),sK10(X0,X1,X2)),X1)) ) ),
    introduced(choice_axiom,[]) ).

tff(f293,plain,
    ! [X0: $tType,X1: fun(X0,bool),X2: fun(X0,bool)] :
      ( ( ( bot_bot(fun(X0,bool)) = inf_inf(fun(X0,bool),X2,X1) )
        | ? [X3: X0] :
            ( ? [X4: X0] :
                ( ( X3 = X4 )
                & pp(aa1(fun(X0,bool),bool,aa1(X0,fun(fun(X0,bool),bool),member(X0),X4),X1)) )
            & pp(aa1(fun(X0,bool),bool,aa1(X0,fun(fun(X0,bool),bool),member(X0),X3),X2)) ) )
      & ( ! [X5: X0] :
            ( ! [X6: X0] :
                ( ( X5 != X6 )
                | ~ pp(aa1(fun(X0,bool),bool,aa1(X0,fun(fun(X0,bool),bool),member(X0),X6),X1)) )
            | ~ pp(aa1(fun(X0,bool),bool,aa1(X0,fun(fun(X0,bool),bool),member(X0),X5),X2)) )
        | ( bot_bot(fun(X0,bool)) != inf_inf(fun(X0,bool),X2,X1) ) ) ),
    inference(rectify,[],[f292]) ).

tff(f292,plain,
    ! [X0: $tType,X1: fun(X0,bool),X2: fun(X0,bool)] :
      ( ( ( bot_bot(fun(X0,bool)) = inf_inf(fun(X0,bool),X2,X1) )
        | ? [X3: X0] :
            ( ? [X4: X0] :
                ( ( X3 = X4 )
                & pp(aa1(fun(X0,bool),bool,aa1(X0,fun(fun(X0,bool),bool),member(X0),X4),X1)) )
            & pp(aa1(fun(X0,bool),bool,aa1(X0,fun(fun(X0,bool),bool),member(X0),X3),X2)) ) )
      & ( ! [X3: X0] :
            ( ! [X4: X0] :
                ( ( X3 != X4 )
                | ~ pp(aa1(fun(X0,bool),bool,aa1(X0,fun(fun(X0,bool),bool),member(X0),X4),X1)) )
            | ~ pp(aa1(fun(X0,bool),bool,aa1(X0,fun(fun(X0,bool),bool),member(X0),X3),X2)) )
        | ( bot_bot(fun(X0,bool)) != inf_inf(fun(X0,bool),X2,X1) ) ) ),
    inference(nnf_transformation,[],[f241]) ).

tff(f241,plain,
    ! [X0: $tType,X1: fun(X0,bool),X2: fun(X0,bool)] :
      ( ( bot_bot(fun(X0,bool)) = inf_inf(fun(X0,bool),X2,X1) )
    <=> ! [X3: X0] :
          ( ! [X4: X0] :
              ( ( X3 != X4 )
              | ~ pp(aa1(fun(X0,bool),bool,aa1(X0,fun(fun(X0,bool),bool),member(X0),X4),X1)) )
          | ~ pp(aa1(fun(X0,bool),bool,aa1(X0,fun(fun(X0,bool),bool),member(X0),X3),X2)) ) ),
    inference(ennf_transformation,[],[f182]) ).

tff(f182,plain,
    ! [X0: $tType,X1: fun(X0,bool),X2: fun(X0,bool)] :
      ( ( bot_bot(fun(X0,bool)) = inf_inf(fun(X0,bool),X2,X1) )
    <=> ! [X3: X0] :
          ( pp(aa1(fun(X0,bool),bool,aa1(X0,fun(fun(X0,bool),bool),member(X0),X3),X2))
         => ! [X4: X0] :
              ( pp(aa1(fun(X0,bool),bool,aa1(X0,fun(fun(X0,bool),bool),member(X0),X4),X1))
             => ( X3 != X4 ) ) ) ),
    inference(rectify,[],[f47]) ).

tff(f47,axiom,
    ! [X1: $tType,X22: fun(X1,bool),X23: fun(X1,bool)] :
      ( ( bot_bot(fun(X1,bool)) = inf_inf(fun(X1,bool),X23,X22) )
    <=> ! [X28: X1] :
          ( pp(aa1(fun(X1,bool),bool,aa1(X1,fun(fun(X1,bool),bool),member(X1),X28),X23))
         => ! [X34: X1] :
              ( pp(aa1(fun(X1,bool),bool,aa1(X1,fun(fun(X1,bool),bool),member(X1),X34),X22))
             => ( X28 != X34 ) ) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.w6PspCiFBG/Vampire---4.8_23904',fact_46_disjoint__iff__not__equal) ).

tff(f455,plain,
    ! [X2: huffma1450048681e_tree(a),X0: nat,X1: huffma1450048681e_tree(a)] :
      ( pa
      | ( ta != huffma1146269203erNode(a,X0,X1,X2) )
      | ~ pp(aa1(fun(a,bool),bool,aa1(a,fun(fun(a,bool),bool),member(a),aa),huffma675207370phabet(a,X2)))
      | pp(aa1(fun(a,bool),bool,aa1(a,fun(fun(a,bool),bool),member(a),aa),huffma675207370phabet(a,X1)))
      | ( bot_bot(fun(a,bool)) != inf_inf(fun(a,bool),huffma675207370phabet(a,X1),huffma675207370phabet(a,X2)) )
      | ~ huffma1518433673istent(a,X2)
      | ~ huffma1518433673istent(a,X1) ),
    inference(equality_resolution,[],[f330]) ).

tff(f330,plain,
    ! [X2: huffma1450048681e_tree(a),X3: a,X0: nat,X1: huffma1450048681e_tree(a)] :
      ( pa
      | ( aa != X3 )
      | ( ta != huffma1146269203erNode(a,X0,X1,X2) )
      | ~ pp(aa1(fun(a,bool),bool,aa1(a,fun(fun(a,bool),bool),member(a),X3),huffma675207370phabet(a,X2)))
      | pp(aa1(fun(a,bool),bool,aa1(a,fun(fun(a,bool),bool),member(a),X3),huffma675207370phabet(a,X1)))
      | ( bot_bot(fun(a,bool)) != inf_inf(fun(a,bool),huffma675207370phabet(a,X1),huffma675207370phabet(a,X2)) )
      | ~ huffma1518433673istent(a,X2)
      | ~ huffma1518433673istent(a,X1) ),
    inference(cnf_transformation,[],[f229]) ).

tff(f229,plain,
    ! [X0: nat,X1: huffma1450048681e_tree(a),X2: huffma1450048681e_tree(a),X3: a] :
      ( pa
      | ( aa != X3 )
      | ( ta != huffma1146269203erNode(a,X0,X1,X2) )
      | ~ pp(aa1(fun(a,bool),bool,aa1(a,fun(fun(a,bool),bool),member(a),X3),huffma675207370phabet(a,X2)))
      | pp(aa1(fun(a,bool),bool,aa1(a,fun(fun(a,bool),bool),member(a),X3),huffma675207370phabet(a,X1)))
      | ( bot_bot(fun(a,bool)) != inf_inf(fun(a,bool),huffma675207370phabet(a,X1),huffma675207370phabet(a,X2)) )
      | ~ huffma1518433673istent(a,X2)
      | ~ huffma1518433673istent(a,X1) ),
    inference(flattening,[],[f228]) ).

tff(f228,plain,
    ! [X0: nat,X1: huffma1450048681e_tree(a),X2: huffma1450048681e_tree(a),X3: a] :
      ( pa
      | ( aa != X3 )
      | ( ta != huffma1146269203erNode(a,X0,X1,X2) )
      | ~ pp(aa1(fun(a,bool),bool,aa1(a,fun(fun(a,bool),bool),member(a),X3),huffma675207370phabet(a,X2)))
      | pp(aa1(fun(a,bool),bool,aa1(a,fun(fun(a,bool),bool),member(a),X3),huffma675207370phabet(a,X1)))
      | ( bot_bot(fun(a,bool)) != inf_inf(fun(a,bool),huffma675207370phabet(a,X1),huffma675207370phabet(a,X2)) )
      | ~ huffma1518433673istent(a,X2)
      | ~ huffma1518433673istent(a,X1) ),
    inference(ennf_transformation,[],[f147]) ).

tff(f147,plain,
    ! [X0: nat,X1: huffma1450048681e_tree(a),X2: huffma1450048681e_tree(a),X3: a] :
      ( huffma1518433673istent(a,X1)
     => ( huffma1518433673istent(a,X2)
       => ( ( bot_bot(fun(a,bool)) = inf_inf(fun(a,bool),huffma675207370phabet(a,X1),huffma675207370phabet(a,X2)) )
         => ( ~ pp(aa1(fun(a,bool),bool,aa1(a,fun(fun(a,bool),bool),member(a),X3),huffma675207370phabet(a,X1)))
           => ( pp(aa1(fun(a,bool),bool,aa1(a,fun(fun(a,bool),bool),member(a),X3),huffma675207370phabet(a,X2)))
             => ( ( ta = huffma1146269203erNode(a,X0,X1,X2) )
               => ( ( aa = X3 )
                 => pa ) ) ) ) ) ) ),
    inference(rectify,[],[f141]) ).

tff(f141,axiom,
    ! [X59: nat,X60: huffma1450048681e_tree(a),X61: huffma1450048681e_tree(a),X58: a] :
      ( huffma1518433673istent(a,X60)
     => ( huffma1518433673istent(a,X61)
       => ( ( inf_inf(fun(a,bool),huffma675207370phabet(a,X60),huffma675207370phabet(a,X61)) = bot_bot(fun(a,bool)) )
         => ( ~ pp(aa1(fun(a,bool),bool,aa1(a,fun(fun(a,bool),bool),member(a),X58),huffma675207370phabet(a,X60)))
           => ( pp(aa1(fun(a,bool),bool,aa1(a,fun(fun(a,bool),bool),member(a),X58),huffma675207370phabet(a,X61)))
             => ( ( ta = huffma1146269203erNode(a,X59,X60,X61) )
               => ( ( aa = X58 )
                 => pa ) ) ) ) ) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.w6PspCiFBG/Vampire---4.8_23904',conj_3) ).

tff(f496,plain,
    ( spl17_3
    | spl17_2 ),
    inference(avatar_split_clause,[],[f492,f488,f494]) ).

tff(f492,plain,
    ! [X2: huffma1450048681e_tree(a),X0: nat,X1: huffma1450048681e_tree(a)] :
      ( pa
      | ( ta != huffma1146269203erNode(a,X0,X1,X2) )
      | ~ pp(aa1(fun(a,bool),bool,aa1(a,fun(fun(a,bool),bool),member(a),aa),huffma675207370phabet(a,X1)))
      | ( bot_bot(fun(a,bool)) != inf_inf(fun(a,bool),huffma675207370phabet(a,X1),huffma675207370phabet(a,X2)) )
      | ~ huffma1518433673istent(a,X2)
      | ~ huffma1518433673istent(a,X1) ),
    inference(subsumption_resolution,[],[f454,f467]) ).

tff(f454,plain,
    ! [X2: huffma1450048681e_tree(a),X0: nat,X1: huffma1450048681e_tree(a)] :
      ( pa
      | ( ta != huffma1146269203erNode(a,X0,X1,X2) )
      | pp(aa1(fun(a,bool),bool,aa1(a,fun(fun(a,bool),bool),member(a),aa),huffma675207370phabet(a,X2)))
      | ~ pp(aa1(fun(a,bool),bool,aa1(a,fun(fun(a,bool),bool),member(a),aa),huffma675207370phabet(a,X1)))
      | ( bot_bot(fun(a,bool)) != inf_inf(fun(a,bool),huffma675207370phabet(a,X1),huffma675207370phabet(a,X2)) )
      | ~ huffma1518433673istent(a,X2)
      | ~ huffma1518433673istent(a,X1) ),
    inference(equality_resolution,[],[f329]) ).

tff(f329,plain,
    ! [X2: huffma1450048681e_tree(a),X3: a,X0: nat,X1: huffma1450048681e_tree(a)] :
      ( pa
      | ( aa != X3 )
      | ( ta != huffma1146269203erNode(a,X0,X1,X2) )
      | pp(aa1(fun(a,bool),bool,aa1(a,fun(fun(a,bool),bool),member(a),X3),huffma675207370phabet(a,X2)))
      | ~ pp(aa1(fun(a,bool),bool,aa1(a,fun(fun(a,bool),bool),member(a),X3),huffma675207370phabet(a,X1)))
      | ( bot_bot(fun(a,bool)) != inf_inf(fun(a,bool),huffma675207370phabet(a,X1),huffma675207370phabet(a,X2)) )
      | ~ huffma1518433673istent(a,X2)
      | ~ huffma1518433673istent(a,X1) ),
    inference(cnf_transformation,[],[f227]) ).

tff(f227,plain,
    ! [X0: nat,X1: huffma1450048681e_tree(a),X2: huffma1450048681e_tree(a),X3: a] :
      ( pa
      | ( aa != X3 )
      | ( ta != huffma1146269203erNode(a,X0,X1,X2) )
      | pp(aa1(fun(a,bool),bool,aa1(a,fun(fun(a,bool),bool),member(a),X3),huffma675207370phabet(a,X2)))
      | ~ pp(aa1(fun(a,bool),bool,aa1(a,fun(fun(a,bool),bool),member(a),X3),huffma675207370phabet(a,X1)))
      | ( bot_bot(fun(a,bool)) != inf_inf(fun(a,bool),huffma675207370phabet(a,X1),huffma675207370phabet(a,X2)) )
      | ~ huffma1518433673istent(a,X2)
      | ~ huffma1518433673istent(a,X1) ),
    inference(flattening,[],[f226]) ).

tff(f226,plain,
    ! [X0: nat,X1: huffma1450048681e_tree(a),X2: huffma1450048681e_tree(a),X3: a] :
      ( pa
      | ( aa != X3 )
      | ( ta != huffma1146269203erNode(a,X0,X1,X2) )
      | pp(aa1(fun(a,bool),bool,aa1(a,fun(fun(a,bool),bool),member(a),X3),huffma675207370phabet(a,X2)))
      | ~ pp(aa1(fun(a,bool),bool,aa1(a,fun(fun(a,bool),bool),member(a),X3),huffma675207370phabet(a,X1)))
      | ( bot_bot(fun(a,bool)) != inf_inf(fun(a,bool),huffma675207370phabet(a,X1),huffma675207370phabet(a,X2)) )
      | ~ huffma1518433673istent(a,X2)
      | ~ huffma1518433673istent(a,X1) ),
    inference(ennf_transformation,[],[f146]) ).

tff(f146,plain,
    ! [X0: nat,X1: huffma1450048681e_tree(a),X2: huffma1450048681e_tree(a),X3: a] :
      ( huffma1518433673istent(a,X1)
     => ( huffma1518433673istent(a,X2)
       => ( ( bot_bot(fun(a,bool)) = inf_inf(fun(a,bool),huffma675207370phabet(a,X1),huffma675207370phabet(a,X2)) )
         => ( pp(aa1(fun(a,bool),bool,aa1(a,fun(fun(a,bool),bool),member(a),X3),huffma675207370phabet(a,X1)))
           => ( ~ pp(aa1(fun(a,bool),bool,aa1(a,fun(fun(a,bool),bool),member(a),X3),huffma675207370phabet(a,X2)))
             => ( ( ta = huffma1146269203erNode(a,X0,X1,X2) )
               => ( ( aa = X3 )
                 => pa ) ) ) ) ) ) ),
    inference(rectify,[],[f140]) ).

tff(f140,axiom,
    ! [X59: nat,X60: huffma1450048681e_tree(a),X61: huffma1450048681e_tree(a),X58: a] :
      ( huffma1518433673istent(a,X60)
     => ( huffma1518433673istent(a,X61)
       => ( ( inf_inf(fun(a,bool),huffma675207370phabet(a,X60),huffma675207370phabet(a,X61)) = bot_bot(fun(a,bool)) )
         => ( pp(aa1(fun(a,bool),bool,aa1(a,fun(fun(a,bool),bool),member(a),X58),huffma675207370phabet(a,X60)))
           => ( ~ pp(aa1(fun(a,bool),bool,aa1(a,fun(fun(a,bool),bool),member(a),X58),huffma675207370phabet(a,X61)))
             => ( ( ta = huffma1146269203erNode(a,X59,X60,X61) )
               => ( ( aa = X58 )
                 => pa ) ) ) ) ) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.w6PspCiFBG/Vampire---4.8_23904',conj_2) ).

tff(f491,plain,
    ( spl17_1
    | spl17_2 ),
    inference(avatar_split_clause,[],[f453,f488,f485]) ).

tff(f453,plain,
    ! [X0: nat,X1: a] :
      ( pa
      | ( ta != huffma2021818691e_Leaf(a,X0,X1) ) ),
    inference(equality_resolution,[],[f328]) ).

tff(f328,plain,
    ! [X2: a,X0: nat,X1: a] :
      ( pa
      | ( aa != X2 )
      | ( ta != huffma2021818691e_Leaf(a,X0,X1) ) ),
    inference(cnf_transformation,[],[f225]) ).

tff(f225,plain,
    ! [X0: nat,X1: a,X2: a] :
      ( pa
      | ( aa != X2 )
      | ( ta != huffma2021818691e_Leaf(a,X0,X1) ) ),
    inference(flattening,[],[f224]) ).

tff(f224,plain,
    ! [X0: nat,X1: a,X2: a] :
      ( pa
      | ( aa != X2 )
      | ( ta != huffma2021818691e_Leaf(a,X0,X1) ) ),
    inference(ennf_transformation,[],[f145]) ).

tff(f145,plain,
    ! [X0: nat,X1: a,X2: a] :
      ( ( ta = huffma2021818691e_Leaf(a,X0,X1) )
     => ( ( aa = X2 )
       => pa ) ),
    inference(rectify,[],[f139]) ).

tff(f139,axiom,
    ! [X56: nat,X57: a,X58: a] :
      ( ( ta = huffma2021818691e_Leaf(a,X56,X57) )
     => ( ( aa = X58 )
       => pa ) ),
    file('/export/starexec/sandbox2/tmp/tmp.w6PspCiFBG/Vampire---4.8_23904',conj_1) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13  % Problem    : SWW527_5 : TPTP v8.1.2. Released v6.0.0.
% 0.12/0.15  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.15/0.36  % Computer : n007.cluster.edu
% 0.15/0.36  % Model    : x86_64 x86_64
% 0.15/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36  % Memory   : 8042.1875MB
% 0.15/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36  % CPULimit   : 300
% 0.15/0.36  % WCLimit    : 300
% 0.15/0.36  % DateTime   : Fri May  3 19:35:53 EDT 2024
% 0.15/0.36  % CPUTime    : 
% 0.15/0.36  This is a TF1_THM_EQU_NAR problem
% 0.15/0.36  Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox2/tmp/tmp.w6PspCiFBG/Vampire---4.8_23904
% 0.70/0.86  % (24116)lrs+1011_461:32768_sil=16000:irw=on:sp=frequency:lsd=20:fd=preordered:nwc=10.0:s2agt=32:alpa=false:cond=fast:s2a=on:i=51:s2at=3.0:awrs=decay:awrsf=691:bd=off:nm=20:fsr=off:amm=sco:uhcvi=on:rawr=on_0 on Vampire---4 for (2995ds/51Mi)
% 0.70/0.86  % (24115)dis-1011_2:1_sil=2000:lsd=20:nwc=5.0:flr=on:mep=off:st=3.0:i=34:sd=1:ep=RS:ss=axioms_0 on Vampire---4 for (2995ds/34Mi)
% 0.70/0.86  % (24117)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2995ds/78Mi)
% 0.70/0.86  % (24118)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2995ds/33Mi)
% 0.70/0.86  % (24119)lrs+2_1:1_sil=16000:fde=none:sos=all:nwc=5.0:i=34:ep=RS:s2pl=on:lma=on:afp=100000_0 on Vampire---4 for (2995ds/34Mi)
% 0.70/0.86  % (24120)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2995ds/45Mi)
% 0.70/0.86  % (24122)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on Vampire---4 for (2995ds/56Mi)
% 0.70/0.86  % (24121)lrs+21_1:5_sil=2000:sos=on:urr=on:newcnf=on:slsq=on:i=83:slsql=off:bd=off:nm=2:ss=axioms:st=1.5:sp=const_min:gsp=on:rawr=on_0 on Vampire---4 for (2995ds/83Mi)
% 0.70/0.86  % (24121)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs.
% 0.70/0.87  % (24121)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 0.70/0.88  % (24118)Instruction limit reached!
% 0.70/0.88  % (24118)------------------------------
% 0.70/0.88  % (24118)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.70/0.88  % (24118)Termination reason: Unknown
% 0.70/0.88  % (24119)Instruction limit reached!
% 0.70/0.88  % (24119)------------------------------
% 0.70/0.88  % (24119)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.70/0.88  % (24118)Termination phase: Saturation
% 0.70/0.88  
% 0.70/0.88  % (24118)Memory used [KB]: 1567
% 0.70/0.88  % (24118)Time elapsed: 0.019 s
% 0.70/0.88  % (24118)Instructions burned: 34 (million)
% 0.70/0.88  % (24118)------------------------------
% 0.70/0.88  % (24118)------------------------------
% 0.70/0.88  % (24119)Termination reason: Unknown
% 0.70/0.88  % (24119)Termination phase: Saturation
% 0.70/0.88  
% 0.70/0.88  % (24119)Memory used [KB]: 1560
% 0.70/0.88  % (24119)Time elapsed: 0.019 s
% 0.70/0.88  % (24119)Instructions burned: 35 (million)
% 0.70/0.88  % (24119)------------------------------
% 0.70/0.88  % (24119)------------------------------
% 0.70/0.88  % (24115)Instruction limit reached!
% 0.70/0.88  % (24115)------------------------------
% 0.70/0.88  % (24115)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.70/0.88  % (24115)Termination reason: Unknown
% 0.70/0.88  % (24115)Termination phase: Saturation
% 0.70/0.88  
% 0.70/0.88  % (24115)Memory used [KB]: 1409
% 0.70/0.88  % (24115)Time elapsed: 0.021 s
% 0.70/0.88  % (24115)Instructions burned: 34 (million)
% 0.70/0.88  % (24115)------------------------------
% 0.70/0.88  % (24115)------------------------------
% 0.75/0.88  % (24124)lrs+21_1:16_sil=2000:sp=occurrence:urr=on:flr=on:i=55:sd=1:nm=0:ins=3:ss=included:rawr=on:br=off_0 on Vampire---4 for (2994ds/55Mi)
% 0.75/0.88  % (24125)dis+3_25:4_sil=16000:sos=all:erd=off:i=50:s2at=4.0:bd=off:nm=60:sup=off:cond=on:av=off:ins=2:nwc=10.0:etr=on:to=lpo:s2agt=20:fd=off:bsr=unit_only:slsq=on:slsqr=28,19:awrs=converge:awrsf=500:tgt=ground:bs=unit_only_0 on Vampire---4 for (2994ds/50Mi)
% 0.75/0.88  % (24126)lrs+1010_1:2_sil=4000:tgt=ground:nwc=10.0:st=2.0:i=208:sd=1:bd=off:ss=axioms_0 on Vampire---4 for (2994ds/208Mi)
% 0.75/0.88  % (24116)Instruction limit reached!
% 0.75/0.88  % (24116)------------------------------
% 0.75/0.88  % (24116)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.75/0.88  % (24116)Termination reason: Unknown
% 0.75/0.88  % (24116)Termination phase: Saturation
% 0.75/0.88  
% 0.75/0.88  % (24116)Memory used [KB]: 1541
% 0.75/0.88  % (24116)Time elapsed: 0.026 s
% 0.75/0.88  % (24116)Instructions burned: 51 (million)
% 0.75/0.88  % (24116)------------------------------
% 0.75/0.88  % (24116)------------------------------
% 0.75/0.88  % (24120)Instruction limit reached!
% 0.75/0.88  % (24120)------------------------------
% 0.75/0.88  % (24120)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.75/0.88  % (24120)Termination reason: Unknown
% 0.75/0.88  % (24120)Termination phase: Saturation
% 0.75/0.88  
% 0.75/0.88  % (24120)Memory used [KB]: 1512
% 0.75/0.88  % (24120)Time elapsed: 0.026 s
% 0.75/0.88  % (24120)Instructions burned: 46 (million)
% 0.75/0.88  % (24120)------------------------------
% 0.75/0.88  % (24120)------------------------------
% 0.75/0.89  % (24122)Instruction limit reached!
% 0.75/0.89  % (24122)------------------------------
% 0.75/0.89  % (24122)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.75/0.89  % (24122)Termination reason: Unknown
% 0.75/0.89  % (24122)Termination phase: Saturation
% 0.75/0.89  
% 0.75/0.89  % (24122)Memory used [KB]: 1540
% 0.75/0.89  % (24122)Time elapsed: 0.029 s
% 0.75/0.89  % (24127)lrs-1011_1:1_sil=4000:plsq=on:plsqr=32,1:sp=frequency:plsql=on:nwc=10.0:i=52:aac=none:afr=on:ss=axioms:er=filter:sgt=16:rawr=on:etr=on:lma=on_0 on Vampire---4 for (2994ds/52Mi)
% 0.75/0.89  % (24122)Instructions burned: 57 (million)
% 0.75/0.89  % (24122)------------------------------
% 0.75/0.89  % (24122)------------------------------
% 0.75/0.89  % (24128)lrs-1010_1:1_to=lpo:sil=2000:sp=reverse_arity:sos=on:urr=ec_only:i=518:sd=2:bd=off:ss=axioms:sgt=16_0 on Vampire---4 for (2994ds/518Mi)
% 0.75/0.89  % (24130)lrs+1011_87677:1048576_sil=8000:sos=on:spb=non_intro:nwc=10.0:kmz=on:i=42:ep=RS:nm=0:ins=1:uhcvi=on:rawr=on:fde=unused:afp=2000:afq=1.444:plsq=on:nicw=on_0 on Vampire---4 for (2994ds/42Mi)
% 0.75/0.90  % (24117)Instruction limit reached!
% 0.75/0.90  % (24117)------------------------------
% 0.75/0.90  % (24117)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.75/0.90  % (24117)Termination reason: Unknown
% 0.75/0.90  % (24117)Termination phase: Saturation
% 0.75/0.90  
% 0.75/0.90  % (24117)Memory used [KB]: 1638
% 0.75/0.90  % (24117)Time elapsed: 0.043 s
% 0.75/0.90  % (24117)Instructions burned: 79 (million)
% 0.75/0.90  % (24117)------------------------------
% 0.75/0.90  % (24117)------------------------------
% 0.75/0.90  % (24125)Instruction limit reached!
% 0.75/0.90  % (24125)------------------------------
% 0.75/0.90  % (24125)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.75/0.90  % (24125)Termination reason: Unknown
% 0.75/0.90  % (24125)Termination phase: Saturation
% 0.75/0.90  
% 0.75/0.90  % (24125)Memory used [KB]: 1712
% 0.75/0.90  % (24125)Time elapsed: 0.023 s
% 0.75/0.90  % (24125)Instructions burned: 50 (million)
% 0.75/0.90  % (24125)------------------------------
% 0.75/0.90  % (24125)------------------------------
% 0.75/0.90  % (24130)Refutation not found, incomplete strategy% (24130)------------------------------
% 0.75/0.90  % (24130)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.75/0.90  % (24130)Termination reason: Refutation not found, incomplete strategy
% 0.75/0.90  
% 0.75/0.90  % (24130)Memory used [KB]: 1396
% 0.75/0.90  % (24130)Time elapsed: 0.013 s
% 0.75/0.90  % (24130)Instructions burned: 23 (million)
% 0.75/0.90  % (24130)------------------------------
% 0.75/0.90  % (24130)------------------------------
% 0.75/0.90  % (24128)First to succeed.
% 0.75/0.90  % (24134)dis+1011_1258907:1048576_bsr=unit_only:to=lpo:drc=off:sil=2000:tgt=full:fde=none:sp=frequency:spb=goal:rnwc=on:nwc=6.70083:sac=on:newcnf=on:st=2:i=243:bs=unit_only:sd=3:afp=300:awrs=decay:awrsf=218:nm=16:ins=3:afq=3.76821:afr=on:ss=axioms:sgt=5:rawr=on:add=off:bsd=on_0 on Vampire---4 for (2994ds/243Mi)
% 0.75/0.90  % (24121)Instruction limit reached!
% 0.75/0.90  % (24121)------------------------------
% 0.75/0.90  % (24121)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.75/0.90  % (24135)lrs+1011_2:9_sil=2000:lsd=10:newcnf=on:i=117:sd=2:awrs=decay:ss=included:amm=off:ep=R_0 on Vampire---4 for (2994ds/117Mi)
% 0.75/0.90  % (24121)Termination reason: Unknown
% 0.75/0.90  % (24121)Termination phase: Saturation
% 0.75/0.90  
% 0.75/0.90  % (24121)Memory used [KB]: 2003
% 0.75/0.90  % (24121)Time elapsed: 0.046 s
% 0.75/0.90  % (24121)Instructions burned: 84 (million)
% 0.75/0.90  % (24121)------------------------------
% 0.75/0.90  % (24121)------------------------------
% 0.75/0.91  % (24136)dis+1011_11:1_sil=2000:avsq=on:i=143:avsqr=1,16:ep=RS:rawr=on:aac=none:lsd=100:mep=off:fde=none:newcnf=on:bsr=unit_only_0 on Vampire---4 for (2994ds/143Mi)
% 0.75/0.91  % (24124)Instruction limit reached!
% 0.75/0.91  % (24124)------------------------------
% 0.75/0.91  % (24124)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.75/0.91  % (24124)Termination reason: Unknown
% 0.75/0.91  % (24124)Termination phase: Saturation
% 0.75/0.91  
% 0.75/0.91  % (24124)Memory used [KB]: 1543
% 0.75/0.91  % (24124)Time elapsed: 0.028 s
% 0.75/0.91  % (24124)Instructions burned: 55 (million)
% 0.75/0.91  % (24124)------------------------------
% 0.75/0.91  % (24124)------------------------------
% 0.75/0.91  % (24134)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs.
% 0.75/0.91  % (24136)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs.
% 0.75/0.91  % (24135)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs.
% 0.75/0.91  % (24128)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-24070"
% 0.75/0.91  % (24138)lrs+1011_1:2_to=lpo:sil=8000:plsqc=1:plsq=on:plsqr=326,59:sp=weighted_frequency:plsql=on:nwc=10.0:newcnf=on:i=93:awrs=converge:awrsf=200:bd=off:ins=1:rawr=on:alpa=false:avsq=on:avsqr=1,16_0 on Vampire---4 for (2994ds/93Mi)
% 0.75/0.91  % (24128)Refutation found. Thanks to Tanya!
% 0.75/0.91  % SZS status Theorem for Vampire---4
% 0.75/0.91  % SZS output start Proof for Vampire---4
% See solution above
% 0.75/0.91  % (24128)------------------------------
% 0.75/0.91  % (24128)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.75/0.91  % (24128)Termination reason: Refutation
% 0.75/0.91  
% 0.75/0.91  % (24128)Memory used [KB]: 1393
% 0.75/0.91  % (24128)Time elapsed: 0.023 s
% 0.75/0.91  % (24128)Instructions burned: 41 (million)
% 0.75/0.91  % (24070)Success in time 0.537 s
% 0.75/0.91  % Vampire---4.8 exiting
%------------------------------------------------------------------------------