TSTP Solution File: LCL827_5 by Vampire-SAT---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : LCL827_5 : TPTP v8.1.2. Released v6.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s

% Computer : n020.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 : Tue Apr 30 13:50:18 EDT 2024

% Result   : Theorem 0.21s 0.43s
% Output   : Refutation 0.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :  100
% Syntax   : Number of formulae    :  113 (   7 unt;  96 typ;   0 def)
%            Number of atoms       :   42 (   0 equ)
%            Maximal formula atoms :    5 (   2 avg)
%            Number of connectives :   40 (  15   ~;  11   |;   5   &)
%                                         (   0 <=>;   9  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   5 avg)
%            Maximal term depth    :   10 (   2 avg)
%            Number of types       :    5 (   4 usr)
%            Number of type conns  :  125 (  55   >;  70   *;   0   +;   0  <<)
%            Number of predicates  :   15 (  14 usr;   2 prp; 0-4 aty)
%            Number of functors    :   79 (  79 usr;  28 con; 0-5 aty)
%            Number of variables   :   66 (  25   !;   5   ?;  66   :)
%                                         (  36  !>;   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,
    beta: fun(dB,fun(dB,bool)) ).

tff(func_def_7,type,
    abs: dB > dB ).

tff(func_def_8,type,
    app: fun(dB,fun(dB,dB)) ).

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

tff(func_def_10,type,
    dB_size: dB > nat ).

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

tff(func_def_12,type,
    liftn: ( nat * dB * nat ) > dB ).

tff(func_def_13,type,
    subst: fun(dB,fun(dB,fun(nat,dB))) ).

tff(func_def_14,type,
    substn: ( dB * dB * nat ) > dB ).

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

tff(func_def_16,type,
    foldr: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,fun(X1,X1)) * list(X0) * X1 ) > X1 ) ).

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

tff(func_def_18,type,
    map: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * list(X0) ) > list(X1) ) ).

tff(func_def_19,type,
    size_size: 
      !>[X0: $tType] : ( X0 > nat ) ).

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,
    type_case: 
      !>[X0: $tType] : ( ( fun(nat,X0) * fun(type,fun(type,X0)) * type ) > X0 ) ).

tff(func_def_23,type,
    typing: fun(fun(nat,type),fun(dB,fun(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,
    fimplies: fun(bool,fun(bool,bool)) ).

tff(func_def_31,type,
    t2: type ).

tff(func_def_32,type,
    t_a: type ).

tff(func_def_33,type,
    t: type ).

tff(func_def_34,type,
    ts: list(type) ).

tff(func_def_35,type,
    a: dB ).

tff(func_def_36,type,
    as: list(dB) ).

tff(func_def_37,type,
    e: fun(nat,type) ).

tff(func_def_38,type,
    ea: fun(nat,type) ).

tff(func_def_39,type,
    i: nat ).

tff(func_def_40,type,
    ia: nat ).

tff(func_def_41,type,
    n: nat ).

tff(func_def_42,type,
    rs: list(dB) ).

tff(func_def_43,type,
    t1: dB ).

tff(func_def_44,type,
    u: dB ).

tff(func_def_45,type,
    ua: dB ).

tff(func_def_46,type,
    sK8: type ).

tff(func_def_47,type,
    sK9: list(type) ).

tff(func_def_48,type,
    sK10: dB > dB ).

tff(func_def_49,type,
    sK11: dB > list(dB) ).

tff(func_def_50,type,
    sK12: dB > nat ).

tff(func_def_51,type,
    sK13: dB > dB ).

tff(func_def_52,type,
    sK14: dB > dB ).

tff(func_def_53,type,
    sK15: dB > list(dB) ).

tff(func_def_54,type,
    sK16: ( dB * dB ) > dB ).

tff(func_def_55,type,
    sK17: ( dB * dB * list(dB) ) > list(dB) ).

tff(func_def_56,type,
    sK18: ( dB * list(dB) * dB ) > dB ).

tff(func_def_57,type,
    sK19: ( dB * dB * list(dB) ) > dB ).

tff(func_def_58,type,
    sK20: ( dB * dB * list(dB) ) > list(dB) ).

tff(func_def_59,type,
    sK21: ( dB * list(dB) * dB ) > dB ).

tff(func_def_60,type,
    sK22: ( dB * list(dB) * nat ) > list(dB) ).

tff(func_def_61,type,
    sK23: ( dB * dB * dB ) > dB ).

tff(func_def_62,type,
    sK24: ( dB * dB * dB ) > dB ).

tff(func_def_63,type,
    sK25: ( dB * dB * dB ) > dB ).

tff(func_def_64,type,
    sK26: ( dB * fun(nat,type) ) > type ).

tff(func_def_65,type,
    sK27: ( dB * fun(nat,type) ) > type ).

tff(func_def_66,type,
    sK28: ( type * dB * fun(nat,type) ) > type ).

tff(func_def_67,type,
    sK29: ( type * dB * fun(nat,type) ) > type ).

tff(func_def_68,type,
    sK30: ( type * list(dB) * dB * fun(nat,type) ) > list(type) ).

tff(func_def_69,type,
    sK31: ( type * list(dB) * dB * fun(nat,type) ) > list(type) ).

tff(func_def_70,type,
    sK32: ( type * list(dB) * nat * fun(nat,type) ) > list(type) ).

tff(func_def_71,type,
    sK33: ( type * dB * dB * fun(nat,type) ) > type ).

tff(func_def_72,type,
    sK34: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * fun(X1,X0) ) > X1 ) ).

tff(func_def_73,type,
    sK35: 
      !>[X0: $tType,X1: $tType] : ( fun(X0,fun(X1,X0)) > X1 ) ).

tff(func_def_74,type,
    sK36: 
      !>[X0: $tType,X1: $tType] : ( fun(X0,fun(X1,X0)) > X1 ) ).

tff(func_def_75,type,
    sK37: 
      !>[X0: $tType,X1: $tType] : ( fun(X0,fun(X1,X0)) > X0 ) ).

tff(func_def_76,type,
    sK38: ( type * type * list(dB) * fun(nat,type) ) > list(type) ).

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

tff(pred_def_2,type,
    step1: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,bool)) * list(X0) * list(X0) ) > $o ) ).

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

tff(pred_def_4,type,
    typings: ( fun(nat,type) * list(dB) * list(type) ) > $o ).

tff(pred_def_5,type,
    pp: bool > $o ).

tff(pred_def_7,type,
    sP0: dB > $o ).

tff(pred_def_8,type,
    sP1: dB > $o ).

tff(pred_def_9,type,
    sP2: dB > $o ).

tff(pred_def_10,type,
    sP3: ( dB * dB * list(dB) ) > $o ).

tff(pred_def_11,type,
    sP4: ( dB * list(dB) * dB ) > $o ).

tff(pred_def_12,type,
    sP5: ( dB * dB * list(dB) ) > $o ).

tff(pred_def_13,type,
    sP6: ( dB * dB * dB ) > $o ).

tff(pred_def_14,type,
    sP7: ( dB * dB * dB ) > $o ).

tff(f557,plain,
    $false,
    inference(subsumption_resolution,[],[f390,f556]) ).

tff(f556,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)),a),X0)),
    inference(subsumption_resolution,[],[f370,f369]) ).

tff(f369,plain,
    ~ thesis,
    inference(cnf_transformation,[],[f118]) ).

tff(f118,plain,
    ~ thesis,
    inference(flattening,[],[f117]) ).

tff(f117,negated_conjecture,
    ~ thesis,
    inference(negated_conjecture,[],[f116]) ).

tff(f116,conjecture,
    thesis,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_1) ).

tff(f370,plain,
    ! [X0: type] :
      ( thesis
      | ~ 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)),a),X0)) ),
    inference(cnf_transformation,[],[f216]) ).

tff(f216,plain,
    ! [X0: type] :
      ( thesis
      | ~ 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)),a),X0)) ),
    inference(ennf_transformation,[],[f119]) ).

tff(f119,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)),a),X0))
     => thesis ),
    inference(rectify,[],[f115]) ).

tff(f115,axiom,
    ! [X93: 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)),a),X93))
     => thesis ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0) ).

tff(f390,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)),a),sK8)),
    inference(cnf_transformation,[],[f289]) ).

tff(f289,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)),a),sK8))
    & ! [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,a),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)),a),X2)) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK8])],[f218,f288]) ).

tff(f288,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)),a),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)),a),sK8)) ),
    introduced(choice_axiom,[]) ).

tff(f218,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)),a),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,a),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)),a),X2)) ) ),
    inference(flattening,[],[f217]) ).

tff(f217,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)),a),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,a),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)),a),X2)) ) ),
    inference(ennf_transformation,[],[f120]) ).

tff(f120,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)),a),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)),a),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,a),X3),X4))) ) ) ) ),
    inference(rectify,[],[f3]) ).

tff(f3,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)),a),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)),a),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,a),X6),X7))) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_2_Cons_I1_J) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12  % Problem    : LCL827_5 : TPTP v8.1.2. Released v6.0.0.
% 0.10/0.14  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.35  % Computer : n020.cluster.edu
% 0.15/0.35  % Model    : x86_64 x86_64
% 0.15/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35  % Memory   : 8042.1875MB
% 0.15/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35  % CPULimit   : 300
% 0.15/0.35  % WCLimit    : 300
% 0.15/0.35  % DateTime   : Mon Apr 29 22:52:02 EDT 2024
% 0.15/0.35  % CPUTime    : 
% 0.15/0.35  % (32736)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.40  % (32739)WARNING: value z3 for option sas not known
% 0.15/0.40  % (32740)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.15/0.40  % (32737)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.15/0.40  % (32743)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.15/0.40  % (32738)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.15/0.40  % (32741)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.15/0.40  % (32742)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.15/0.40  % (32739)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.21/0.41  % (32743)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 0.21/0.42  % Exception at run slice level
% 0.21/0.42  User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.21/0.42  % Exception at run slice level
% 0.21/0.42  User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.21/0.42  % Exception at run slice level
% 0.21/0.42  User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.21/0.42  % (32743)First to succeed.
% 0.21/0.43  % (32743)Refutation found. Thanks to Tanya!
% 0.21/0.43  % SZS status Theorem for theBenchmark
% 0.21/0.43  % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.43  % (32743)------------------------------
% 0.21/0.43  % (32743)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.21/0.43  % (32743)Termination reason: Refutation
% 0.21/0.43  
% 0.21/0.43  % (32743)Memory used [KB]: 1254
% 0.21/0.43  % (32743)Time elapsed: 0.023 s
% 0.21/0.43  % (32743)Instructions burned: 49 (million)
% 0.21/0.43  % (32743)------------------------------
% 0.21/0.43  % (32743)------------------------------
% 0.21/0.43  % (32736)Success in time 0.071 s
%------------------------------------------------------------------------------