TSTP Solution File: LCL806_5 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : LCL806_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/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s

% Computer : n031.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 07:42:38 EDT 2024

% Result   : Theorem 0.72s 0.87s
% Output   : Refutation 0.72s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :   71
% Syntax   : Number of formulae    :   88 (   6 unt;  67 typ;   0 def)
%            Number of atoms       :   70 (   0 equ)
%            Maximal formula atoms :    8 (   3 avg)
%            Number of connectives :   82 (  33   ~;  24   |;  17   &)
%                                         (   0 <=>;   8  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   6 avg)
%            Maximal term depth    :   10 (   2 avg)
%            Number of types       :    5 (   4 usr)
%            Number of type conns  :   32 (  18   >;  14   *;   0   +;   0  <<)
%            Number of predicates  :    5 (   4 usr;   1 prp; 0-3 aty)
%            Number of functors    :   59 (  59 usr;  33 con; 0-5 aty)
%            Number of variables   :   84 (  37   !;  13   ?;  84   :)
%                                         (  34  !>;   0  ?*;   0  @-;   0  @+)

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

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

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

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

tff(type_def_9,type,
    type: $tType ).

tff(type_def_10,type,
    fun: ( $tType * $tType ) > $tType ).

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

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

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

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

tff(func_def_4,type,
    zero_zero: 
      !>[X0: $tType] : X0 ).

tff(func_def_5,type,
    it: fun(dB,bool) ).

tff(func_def_6,type,
    abs: dB > dB ).

tff(func_def_7,type,
    app: fun(dB,fun(dB,dB)) ).

tff(func_def_8,type,
    var: nat > dB ).

tff(func_def_9,type,
    dB_size: dB > nat ).

tff(func_def_10,type,
    lift: fun(dB,fun(nat,dB)) ).

tff(func_def_11,type,
    subst: fun(dB,fun(dB,fun(nat,dB))) ).

tff(func_def_12,type,
    foldl: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,fun(X1,X0)) * X0 * list(X1) ) > X0 ) ).

tff(func_def_13,type,
    foldr: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,fun(X1,X1)) * list(X0) * X1 ) > X1 ) ).

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

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

tff(func_def_16,type,
    listset: 
      !>[X0: $tType] : ( list(fun(X0,bool)) > fun(list(X0),bool) ) ).

tff(func_def_17,type,
    map: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * list(X0) ) > list(X1) ) ).

tff(func_def_18,type,
    set_Cons: 
      !>[X0: $tType] : ( ( fun(X0,bool) * fun(list(X0),bool) ) > fun(list(X0),bool) ) ).

tff(func_def_19,type,
    collect: 
      !>[X0: $tType] : ( fun(X0,bool) > fun(X0,bool) ) ).

tff(func_def_20,type,
    shift: 
      !>[X0: $tType] : fun(fun(nat,X0),fun(nat,fun(X0,fun(nat,X0)))) ).

tff(func_def_21,type,
    fun1: fun(type,fun(type,type)) ).

tff(func_def_22,type,
    typing: fun(fun(nat,type),fun(dB,fun(type,bool))) ).

tff(func_def_23,type,
    typings: ( fun(nat,type) * list(dB) ) > fun(list(type),bool) ).

tff(func_def_24,type,
    aa: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * X0 ) > X1 ) ).

tff(func_def_25,type,
    fAll: 
      !>[X0: $tType] : fun(fun(X0,bool),bool) ).

tff(func_def_26,type,
    fEx: 
      !>[X0: $tType] : fun(fun(X0,bool),bool) ).

tff(func_def_27,type,
    fFalse: bool ).

tff(func_def_28,type,
    fTrue: bool ).

tff(func_def_29,type,
    fconj: fun(bool,fun(bool,bool)) ).

tff(func_def_30,type,
    fequal: 
      !>[X0: $tType] : fun(X0,fun(X0,bool)) ).

tff(func_def_31,type,
    fimplies: fun(bool,fun(bool,bool)) ).

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

tff(func_def_33,type,
    t2: type ).

tff(func_def_34,type,
    t1: type ).

tff(func_def_35,type,
    t_a: type ).

tff(func_def_36,type,
    t: type ).

tff(func_def_37,type,
    ts: list(type) ).

tff(func_def_38,type,
    a: dB ).

tff(func_def_39,type,
    as: list(dB) ).

tff(func_def_40,type,
    b: dB ).

tff(func_def_41,type,
    bs: list(dB) ).

tff(func_def_42,type,
    e: fun(nat,type) ).

tff(func_def_43,type,
    ea: fun(nat,type) ).

tff(func_def_44,type,
    i: nat ).

tff(func_def_45,type,
    ia: nat ).

tff(func_def_46,type,
    n: nat ).

tff(func_def_47,type,
    rs: list(dB) ).

tff(func_def_48,type,
    t3: dB ).

tff(func_def_49,type,
    u: dB ).

tff(func_def_50,type,
    ua: dB ).

tff(func_def_51,type,
    sK0: fun(nat,type) ).

tff(func_def_52,type,
    sK1: type ).

tff(func_def_53,type,
    sK2: dB ).

tff(func_def_54,type,
    sK3: nat ).

tff(func_def_55,type,
    sK4: type ).

tff(func_def_56,type,
    sK5: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * fun(X1,X0) ) > X1 ) ).

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

tff(pred_def_2,type,
    beta: ( dB * dB ) > $o ).

tff(pred_def_3,type,
    listsp: 
      !>[X0: $tType] : ( ( fun(X0,bool) * list(X0) ) > $o ) ).

tff(pred_def_4,type,
    pp: bool > $o ).

tff(f190,plain,
    $false,
    inference(subsumption_resolution,[],[f189,f159]) ).

tff(f159,plain,
    pp(aa(type,bool,aa(dB,fun(type,bool),aa(fun(nat,type),fun(dB,fun(type,bool)),typing,sK0),sK2),t)),
    inference(cnf_transformation,[],[f149]) ).

tff(f149,plain,
    ( ~ pp(aa(dB,bool,it,aa(nat,dB,aa(dB,fun(nat,dB),aa(dB,fun(dB,fun(nat,dB)),subst,b),sK2),sK3)))
    & pp(aa(type,bool,aa(dB,fun(type,bool),aa(fun(nat,type),fun(dB,fun(type,bool)),typing,sK0),sK2),t))
    & pp(aa(dB,bool,it,sK2))
    & pp(aa(type,bool,aa(dB,fun(type,bool),aa(fun(nat,type),fun(dB,fun(type,bool)),typing,aa(type,fun(nat,type),aa(nat,fun(type,fun(nat,type)),aa(fun(nat,type),fun(nat,fun(type,fun(nat,type))),shift(type),sK0),sK3),t)),b),sK1)) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3])],[f137,f148]) ).

tff(f148,plain,
    ( ? [X0: fun(nat,type),X1: type,X2: dB,X3: nat] :
        ( ~ pp(aa(dB,bool,it,aa(nat,dB,aa(dB,fun(nat,dB),aa(dB,fun(dB,fun(nat,dB)),subst,b),X2),X3)))
        & pp(aa(type,bool,aa(dB,fun(type,bool),aa(fun(nat,type),fun(dB,fun(type,bool)),typing,X0),X2),t))
        & pp(aa(dB,bool,it,X2))
        & pp(aa(type,bool,aa(dB,fun(type,bool),aa(fun(nat,type),fun(dB,fun(type,bool)),typing,aa(type,fun(nat,type),aa(nat,fun(type,fun(nat,type)),aa(fun(nat,type),fun(nat,fun(type,fun(nat,type))),shift(type),X0),X3),t)),b),X1)) )
   => ( ~ pp(aa(dB,bool,it,aa(nat,dB,aa(dB,fun(nat,dB),aa(dB,fun(dB,fun(nat,dB)),subst,b),sK2),sK3)))
      & pp(aa(type,bool,aa(dB,fun(type,bool),aa(fun(nat,type),fun(dB,fun(type,bool)),typing,sK0),sK2),t))
      & pp(aa(dB,bool,it,sK2))
      & pp(aa(type,bool,aa(dB,fun(type,bool),aa(fun(nat,type),fun(dB,fun(type,bool)),typing,aa(type,fun(nat,type),aa(nat,fun(type,fun(nat,type)),aa(fun(nat,type),fun(nat,fun(type,fun(nat,type))),shift(type),sK0),sK3),t)),b),sK1)) ) ),
    introduced(choice_axiom,[]) ).

tff(f137,plain,
    ? [X0: fun(nat,type),X1: type,X2: dB,X3: nat] :
      ( ~ pp(aa(dB,bool,it,aa(nat,dB,aa(dB,fun(nat,dB),aa(dB,fun(dB,fun(nat,dB)),subst,b),X2),X3)))
      & pp(aa(type,bool,aa(dB,fun(type,bool),aa(fun(nat,type),fun(dB,fun(type,bool)),typing,X0),X2),t))
      & pp(aa(dB,bool,it,X2))
      & pp(aa(type,bool,aa(dB,fun(type,bool),aa(fun(nat,type),fun(dB,fun(type,bool)),typing,aa(type,fun(nat,type),aa(nat,fun(type,fun(nat,type)),aa(fun(nat,type),fun(nat,fun(type,fun(nat,type))),shift(type),X0),X3),t)),b),X1)) ),
    inference(ennf_transformation,[],[f121]) ).

tff(f121,plain,
    ~ ! [X0: fun(nat,type),X1: type,X2: dB,X3: nat] :
        ( pp(aa(dB,bool,it,aa(nat,dB,aa(dB,fun(nat,dB),aa(dB,fun(dB,fun(nat,dB)),subst,b),X2),X3)))
        | ~ pp(aa(type,bool,aa(dB,fun(type,bool),aa(fun(nat,type),fun(dB,fun(type,bool)),typing,X0),X2),t))
        | ~ pp(aa(dB,bool,it,X2))
        | ~ pp(aa(type,bool,aa(dB,fun(type,bool),aa(fun(nat,type),fun(dB,fun(type,bool)),typing,aa(type,fun(nat,type),aa(nat,fun(type,fun(nat,type)),aa(fun(nat,type),fun(nat,fun(type,fun(nat,type))),shift(type),X0),X3),t)),b),X1)) ),
    inference(rectify,[],[f120]) ).

tff(f120,negated_conjecture,
    ~ ! [X93: fun(nat,type),X94: type,X95: dB,X96: nat] :
        ( pp(aa(dB,bool,it,aa(nat,dB,aa(dB,fun(nat,dB),aa(dB,fun(dB,fun(nat,dB)),subst,b),X95),X96)))
        | ~ pp(aa(type,bool,aa(dB,fun(type,bool),aa(fun(nat,type),fun(dB,fun(type,bool)),typing,X93),X95),t))
        | ~ pp(aa(dB,bool,it,X95))
        | ~ pp(aa(type,bool,aa(dB,fun(type,bool),aa(fun(nat,type),fun(dB,fun(type,bool)),typing,aa(type,fun(nat,type),aa(nat,fun(type,fun(nat,type)),aa(fun(nat,type),fun(nat,fun(type,fun(nat,type))),shift(type),X93),X96),t)),b),X94)) ),
    inference(negated_conjecture,[],[f119]) ).

tff(f119,conjecture,
    ! [X93: fun(nat,type),X94: type,X95: dB,X96: nat] :
      ( pp(aa(dB,bool,it,aa(nat,dB,aa(dB,fun(nat,dB),aa(dB,fun(dB,fun(nat,dB)),subst,b),X95),X96)))
      | ~ pp(aa(type,bool,aa(dB,fun(type,bool),aa(fun(nat,type),fun(dB,fun(type,bool)),typing,X93),X95),t))
      | ~ pp(aa(dB,bool,it,X95))
      | ~ pp(aa(type,bool,aa(dB,fun(type,bool),aa(fun(nat,type),fun(dB,fun(type,bool)),typing,aa(type,fun(nat,type),aa(nat,fun(type,fun(nat,type)),aa(fun(nat,type),fun(nat,fun(type,fun(nat,type))),shift(type),X93),X96),t)),b),X94)) ),
    file('/export/starexec/sandbox/tmp/tmp.i3gWMAbZbd/Vampire---4.8_4675',conj_0) ).

tff(f189,plain,
    ~ pp(aa(type,bool,aa(dB,fun(type,bool),aa(fun(nat,type),fun(dB,fun(type,bool)),typing,sK0),sK2),t)),
    inference(subsumption_resolution,[],[f188,f158]) ).

tff(f158,plain,
    pp(aa(dB,bool,it,sK2)),
    inference(cnf_transformation,[],[f149]) ).

tff(f188,plain,
    ( ~ pp(aa(dB,bool,it,sK2))
    | ~ pp(aa(type,bool,aa(dB,fun(type,bool),aa(fun(nat,type),fun(dB,fun(type,bool)),typing,sK0),sK2),t)) ),
    inference(resolution,[],[f186,f160]) ).

tff(f160,plain,
    ~ pp(aa(dB,bool,it,aa(nat,dB,aa(dB,fun(nat,dB),aa(dB,fun(dB,fun(nat,dB)),subst,b),sK2),sK3))),
    inference(cnf_transformation,[],[f149]) ).

tff(f186,plain,
    ! [X0: dB] :
      ( pp(aa(dB,bool,it,aa(nat,dB,aa(dB,fun(nat,dB),aa(dB,fun(dB,fun(nat,dB)),subst,b),X0),sK3)))
      | ~ pp(aa(dB,bool,it,X0))
      | ~ pp(aa(type,bool,aa(dB,fun(type,bool),aa(fun(nat,type),fun(dB,fun(type,bool)),typing,sK0),X0),t)) ),
    inference(resolution,[],[f157,f168]) ).

tff(f168,plain,
    ! [X2: type,X3: dB,X1: fun(nat,type),X4: nat] :
      ( ~ pp(aa(type,bool,aa(dB,fun(type,bool),aa(fun(nat,type),fun(dB,fun(type,bool)),typing,aa(type,fun(nat,type),aa(nat,fun(type,fun(nat,type)),aa(fun(nat,type),fun(nat,fun(type,fun(nat,type))),shift(type),X1),X4),t)),b),X2))
      | ~ pp(aa(type,bool,aa(dB,fun(type,bool),aa(fun(nat,type),fun(dB,fun(type,bool)),typing,X1),X3),t))
      | ~ pp(aa(dB,bool,it,X3))
      | pp(aa(dB,bool,it,aa(nat,dB,aa(dB,fun(nat,dB),aa(dB,fun(dB,fun(nat,dB)),subst,b),X3),X4))) ),
    inference(cnf_transformation,[],[f151]) ).

tff(f151,plain,
    ( pp(aa(type,bool,aa(dB,fun(type,bool),aa(fun(nat,type),fun(dB,fun(type,bool)),typing,aa(type,fun(nat,type),aa(nat,fun(type,fun(nat,type)),aa(fun(nat,type),fun(nat,fun(type,fun(nat,type))),shift(type),e),i),t)),b),sK4))
    & ! [X1: fun(nat,type),X2: type,X3: dB,X4: nat] :
        ( pp(aa(dB,bool,it,aa(nat,dB,aa(dB,fun(nat,dB),aa(dB,fun(dB,fun(nat,dB)),subst,b),X3),X4)))
        | ~ pp(aa(type,bool,aa(dB,fun(type,bool),aa(fun(nat,type),fun(dB,fun(type,bool)),typing,X1),X3),t))
        | ~ pp(aa(dB,bool,it,X3))
        | ~ pp(aa(type,bool,aa(dB,fun(type,bool),aa(fun(nat,type),fun(dB,fun(type,bool)),typing,aa(type,fun(nat,type),aa(nat,fun(type,fun(nat,type)),aa(fun(nat,type),fun(nat,fun(type,fun(nat,type))),shift(type),X1),X4),t)),b),X2)) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK4])],[f144,f150]) ).

tff(f150,plain,
    ( ? [X0: type] : pp(aa(type,bool,aa(dB,fun(type,bool),aa(fun(nat,type),fun(dB,fun(type,bool)),typing,aa(type,fun(nat,type),aa(nat,fun(type,fun(nat,type)),aa(fun(nat,type),fun(nat,fun(type,fun(nat,type))),shift(type),e),i),t)),b),X0))
   => pp(aa(type,bool,aa(dB,fun(type,bool),aa(fun(nat,type),fun(dB,fun(type,bool)),typing,aa(type,fun(nat,type),aa(nat,fun(type,fun(nat,type)),aa(fun(nat,type),fun(nat,fun(type,fun(nat,type))),shift(type),e),i),t)),b),sK4)) ),
    introduced(choice_axiom,[]) ).

tff(f144,plain,
    ( ? [X0: type] : pp(aa(type,bool,aa(dB,fun(type,bool),aa(fun(nat,type),fun(dB,fun(type,bool)),typing,aa(type,fun(nat,type),aa(nat,fun(type,fun(nat,type)),aa(fun(nat,type),fun(nat,fun(type,fun(nat,type))),shift(type),e),i),t)),b),X0))
    & ! [X1: fun(nat,type),X2: type,X3: dB,X4: nat] :
        ( pp(aa(dB,bool,it,aa(nat,dB,aa(dB,fun(nat,dB),aa(dB,fun(dB,fun(nat,dB)),subst,b),X3),X4)))
        | ~ pp(aa(type,bool,aa(dB,fun(type,bool),aa(fun(nat,type),fun(dB,fun(type,bool)),typing,X1),X3),t))
        | ~ pp(aa(dB,bool,it,X3))
        | ~ pp(aa(type,bool,aa(dB,fun(type,bool),aa(fun(nat,type),fun(dB,fun(type,bool)),typing,aa(type,fun(nat,type),aa(nat,fun(type,fun(nat,type)),aa(fun(nat,type),fun(nat,fun(type,fun(nat,type))),shift(type),X1),X4),t)),b),X2)) ) ),
    inference(flattening,[],[f143]) ).

tff(f143,plain,
    ( ? [X0: type] : pp(aa(type,bool,aa(dB,fun(type,bool),aa(fun(nat,type),fun(dB,fun(type,bool)),typing,aa(type,fun(nat,type),aa(nat,fun(type,fun(nat,type)),aa(fun(nat,type),fun(nat,fun(type,fun(nat,type))),shift(type),e),i),t)),b),X0))
    & ! [X1: fun(nat,type),X2: type,X3: dB,X4: nat] :
        ( pp(aa(dB,bool,it,aa(nat,dB,aa(dB,fun(nat,dB),aa(dB,fun(dB,fun(nat,dB)),subst,b),X3),X4)))
        | ~ pp(aa(type,bool,aa(dB,fun(type,bool),aa(fun(nat,type),fun(dB,fun(type,bool)),typing,X1),X3),t))
        | ~ pp(aa(dB,bool,it,X3))
        | ~ pp(aa(type,bool,aa(dB,fun(type,bool),aa(fun(nat,type),fun(dB,fun(type,bool)),typing,aa(type,fun(nat,type),aa(nat,fun(type,fun(nat,type)),aa(fun(nat,type),fun(nat,fun(type,fun(nat,type))),shift(type),X1),X4),t)),b),X2)) ) ),
    inference(ennf_transformation,[],[f129]) ).

tff(f129,plain,
    ( ? [X0: type] : pp(aa(type,bool,aa(dB,fun(type,bool),aa(fun(nat,type),fun(dB,fun(type,bool)),typing,aa(type,fun(nat,type),aa(nat,fun(type,fun(nat,type)),aa(fun(nat,type),fun(nat,fun(type,fun(nat,type))),shift(type),e),i),t)),b),X0))
    & ! [X1: fun(nat,type),X2: type,X3: dB,X4: nat] :
        ( pp(aa(type,bool,aa(dB,fun(type,bool),aa(fun(nat,type),fun(dB,fun(type,bool)),typing,aa(type,fun(nat,type),aa(nat,fun(type,fun(nat,type)),aa(fun(nat,type),fun(nat,fun(type,fun(nat,type))),shift(type),X1),X4),t)),b),X2))
       => ( pp(aa(dB,bool,it,X3))
         => ( pp(aa(type,bool,aa(dB,fun(type,bool),aa(fun(nat,type),fun(dB,fun(type,bool)),typing,X1),X3),t))
           => pp(aa(dB,bool,it,aa(nat,dB,aa(dB,fun(nat,dB),aa(dB,fun(dB,fun(nat,dB)),subst,b),X3),X4))) ) ) ) ),
    inference(rectify,[],[f6]) ).

tff(f6,axiom,
    ( ? [X8: type] : pp(aa(type,bool,aa(dB,fun(type,bool),aa(fun(nat,type),fun(dB,fun(type,bool)),typing,aa(type,fun(nat,type),aa(nat,fun(type,fun(nat,type)),aa(fun(nat,type),fun(nat,fun(type,fun(nat,type))),shift(type),e),i),t)),b),X8))
    & ! [X4: fun(nat,type),X5: type,X6: dB,X7: nat] :
        ( pp(aa(type,bool,aa(dB,fun(type,bool),aa(fun(nat,type),fun(dB,fun(type,bool)),typing,aa(type,fun(nat,type),aa(nat,fun(type,fun(nat,type)),aa(fun(nat,type),fun(nat,fun(type,fun(nat,type))),shift(type),X4),X7),t)),b),X5))
       => ( pp(aa(dB,bool,it,X6))
         => ( pp(aa(type,bool,aa(dB,fun(type,bool),aa(fun(nat,type),fun(dB,fun(type,bool)),typing,X4),X6),t))
           => pp(aa(dB,bool,it,aa(nat,dB,aa(dB,fun(nat,dB),aa(dB,fun(dB,fun(nat,dB)),subst,b),X6),X7))) ) ) ) ),
    file('/export/starexec/sandbox/tmp/tmp.i3gWMAbZbd/Vampire---4.8_4675',fact_5_Cons_I1_J) ).

tff(f157,plain,
    pp(aa(type,bool,aa(dB,fun(type,bool),aa(fun(nat,type),fun(dB,fun(type,bool)),typing,aa(type,fun(nat,type),aa(nat,fun(type,fun(nat,type)),aa(fun(nat,type),fun(nat,fun(type,fun(nat,type))),shift(type),sK0),sK3),t)),b),sK1)),
    inference(cnf_transformation,[],[f149]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem    : LCL806_5 : TPTP v8.1.2. Released v6.0.0.
% 0.07/0.15  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.15/0.36  % Computer : n031.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 14:25:17 EDT 2024
% 0.15/0.36  % CPUTime    : 
% 0.15/0.36  This is a TF1_THM_EQU_NAR problem
% 0.15/0.37  Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox/tmp/tmp.i3gWMAbZbd/Vampire---4.8_4675
% 0.72/0.87  % (5019)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)
% 0.72/0.87  % (5018)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2995ds/78Mi)
% 0.72/0.87  % (5016)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)
% 0.72/0.87  % (5017)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)
% 0.72/0.87  % (5020)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)
% 0.72/0.87  % (5022)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)
% 0.72/0.87  % (5021)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)
% 0.72/0.87  % (5023)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)
% 0.72/0.87  % (5021)First to succeed.
% 0.72/0.87  % (5019)Also succeeded, but the first one will report.
% 0.72/0.87  % (5021)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-4923"
% 0.72/0.87  % (5023)Also succeeded, but the first one will report.
% 0.72/0.87  % (5021)Refutation found. Thanks to Tanya!
% 0.72/0.87  % SZS status Theorem for Vampire---4
% 0.72/0.87  % SZS output start Proof for Vampire---4
% See solution above
% 0.72/0.87  % (5021)------------------------------
% 0.72/0.87  % (5021)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.72/0.87  % (5021)Termination reason: Refutation
% 0.72/0.87  
% 0.72/0.87  % (5021)Memory used [KB]: 1228
% 0.72/0.87  % (5021)Time elapsed: 0.009 s
% 0.72/0.87  % (5021)Instructions burned: 13 (million)
% 0.72/0.87  % (4923)Success in time 0.497 s
% 0.72/0.88  % Vampire---4.8 exiting
%------------------------------------------------------------------------------