TSTP Solution File: LCL787_5 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : LCL787_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 : n012.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 07:42:29 EDT 2024

% Result   : Theorem 0.53s 0.73s
% Output   : Refutation 0.53s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :   80
% Syntax   : Number of formulae    :  105 (  12 unt;  72 typ;   0 def)
%            Number of atoms       :   70 (   2 equ)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :   72 (  35   ~;  22   |;   4   &)
%                                         (   2 <=>;   9  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   4 avg)
%            Maximal term depth    :    6 (   2 avg)
%            Number of types       :    5 (   4 usr)
%            Number of type conns  :   71 (  35   >;  36   *;   0   +;   0  <<)
%            Number of predicates  :   10 (   8 usr;   4 prp; 0-3 aty)
%            Number of functors    :   63 (  63 usr;  24 con; 0-5 aty)
%            Number of variables   :   84 (  39   !;   2   ?;  84   :)
%                                         (  43  !>;   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(X0,fun(X1,X2)) * 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,
    splice: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) ) > list(X0) ) ).

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

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

tff(func_def_22,type,
    shift: 
      !>[X0: $tType] : ( ( fun(nat,X0) * nat * X0 ) > fun(nat,X0) ) ).

tff(func_def_23,type,
    atom: nat > type ).

tff(func_def_24,type,
    fun1: fun(type,fun(type,type)) ).

tff(func_def_25,type,
    type_case: 
      !>[X0: $tType] : ( ( fun(nat,X0) * fun(type,fun(type,X0)) * type ) > X0 ) ).

tff(func_def_26,type,
    type_size: type > nat ).

tff(func_def_27,type,
    typing: fun(nat,type) > fun(dB,fun(type,bool)) ).

tff(func_def_28,type,
    typings: ( fun(nat,type) * list(dB) ) > fun(list(type),bool) ).

tff(func_def_29,type,
    aa: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * X0 ) > X1 ) ).

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

tff(func_def_31,type,
    fFalse: bool ).

tff(func_def_32,type,
    fTrue: bool ).

tff(func_def_33,type,
    fconj: fun(bool,fun(bool,bool)) ).

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

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

tff(func_def_36,type,
    t1: type ).

tff(func_def_37,type,
    t_a: type ).

tff(func_def_38,type,
    t: type ).

tff(func_def_39,type,
    ts: list(type) ).

tff(func_def_40,type,
    a: dB ).

tff(func_def_41,type,
    as: 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,
    t2: dB ).

tff(func_def_49,type,
    u: dB ).

tff(func_def_50,type,
    ua: dB ).

tff(func_def_51,type,
    sK0: ( type * list(dB) * dB * fun(nat,type) ) > list(type) ).

tff(func_def_52,type,
    sK1: ( type * list(dB) * dB * fun(nat,type) ) > list(type) ).

tff(func_def_53,type,
    sK2: ( type * list(dB) * nat * fun(nat,type) ) > list(type) ).

tff(func_def_54,type,
    sK3: ( type * type * list(dB) * fun(nat,type) ) > list(type) ).

tff(func_def_55,type,
    sK4: ( type * dB * dB * fun(nat,type) ) > type ).

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

tff(func_def_57,type,
    sK6: 
      !>[X0: $tType,X1: $tType] : ( fun(X0,fun(X1,X0)) > X1 ) ).

tff(func_def_58,type,
    sK7: 
      !>[X0: $tType,X1: $tType] : ( fun(X0,fun(X1,X0)) > X1 ) ).

tff(func_def_59,type,
    sK8: 
      !>[X0: $tType,X1: $tType] : ( fun(X0,fun(X1,X0)) > X0 ) ).

tff(func_def_60,type,
    sK9: list(type) ).

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(pred_def_6,type,
    sQ10_eqProxy: 
      !>[X0: $tType] : ( ( X0 * X0 ) > $o ) ).

tff(f332,plain,
    $false,
    inference(avatar_sat_refutation,[],[f325,f326,f331]) ).

tff(f331,plain,
    ~ spl11_1,
    inference(avatar_contradiction_clause,[],[f330]) ).

tff(f330,plain,
    ( $false
    | ~ spl11_1 ),
    inference(subsumption_resolution,[],[f329,f268]) ).

tff(f268,plain,
    pp(aa(type,bool,aa(dB,fun(type,bool),typing(shift(type,e,i,t)),aa(dB,dB,aa(dB,fun(dB,dB),app,var(i)),a)),foldr(type,type,fun1,ts,t1))),
    inference(definition_unfolding,[],[f238,f239]) ).

tff(f239,plain,
    n = i,
    inference(cnf_transformation,[],[f2]) ).

tff(f2,axiom,
    n = i,
    file('/export/starexec/sandbox2/tmp/tmp.NejgEYPEV7/Vampire---4.8_7561',fact_1_True) ).

tff(f238,plain,
    pp(aa(type,bool,aa(dB,fun(type,bool),typing(shift(type,e,i,t)),aa(dB,dB,aa(dB,fun(dB,dB),app,var(n)),a)),foldr(type,type,fun1,ts,t1))),
    inference(cnf_transformation,[],[f4]) ).

tff(f4,axiom,
    pp(aa(type,bool,aa(dB,fun(type,bool),typing(shift(type,e,i,t)),aa(dB,dB,aa(dB,fun(dB,dB),app,var(n)),a)),foldr(type,type,fun1,ts,t1))),
    file('/export/starexec/sandbox2/tmp/tmp.NejgEYPEV7/Vampire---4.8_7561',fact_3_headT) ).

tff(f329,plain,
    ( ~ pp(aa(type,bool,aa(dB,fun(type,bool),typing(shift(type,e,i,t)),aa(dB,dB,aa(dB,fun(dB,dB),app,var(i)),a)),foldr(type,type,fun1,ts,t1)))
    | ~ spl11_1 ),
    inference(duplicate_literal_removal,[],[f328]) ).

tff(f328,plain,
    ( ~ pp(aa(type,bool,aa(dB,fun(type,bool),typing(shift(type,e,i,t)),aa(dB,dB,aa(dB,fun(dB,dB),app,var(i)),a)),foldr(type,type,fun1,ts,t1)))
    | ~ pp(aa(type,bool,aa(dB,fun(type,bool),typing(shift(type,e,i,t)),aa(dB,dB,aa(dB,fun(dB,dB),app,var(i)),a)),foldr(type,type,fun1,ts,t1)))
    | ~ spl11_1 ),
    inference(resolution,[],[f327,f230]) ).

tff(f230,plain,
    ! [X2: dB,X3: fun(nat,type),X0: type,X1: dB] :
      ( pp(aa(type,bool,aa(dB,fun(type,bool),typing(X3),X1),sK4(X0,X1,X2,X3)))
      | ~ pp(aa(type,bool,aa(dB,fun(type,bool),typing(X3),aa(dB,dB,aa(dB,fun(dB,dB),app,X2),X1)),X0)) ),
    inference(cnf_transformation,[],[f194]) ).

tff(f194,plain,
    ! [X0: type,X1: dB,X2: dB,X3: fun(nat,type)] :
      ( ( pp(aa(type,bool,aa(dB,fun(type,bool),typing(X3),X1),sK4(X0,X1,X2,X3)))
        & pp(aa(type,bool,aa(dB,fun(type,bool),typing(X3),X2),aa(type,type,aa(type,fun(type,type),fun1,sK4(X0,X1,X2,X3)),X0))) )
      | ~ pp(aa(type,bool,aa(dB,fun(type,bool),typing(X3),aa(dB,dB,aa(dB,fun(dB,dB),app,X2),X1)),X0)) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK4])],[f167,f193]) ).

tff(f193,plain,
    ! [X0: type,X1: dB,X2: dB,X3: fun(nat,type)] :
      ( ? [X4: type] :
          ( pp(aa(type,bool,aa(dB,fun(type,bool),typing(X3),X1),X4))
          & pp(aa(type,bool,aa(dB,fun(type,bool),typing(X3),X2),aa(type,type,aa(type,fun(type,type),fun1,X4),X0))) )
     => ( pp(aa(type,bool,aa(dB,fun(type,bool),typing(X3),X1),sK4(X0,X1,X2,X3)))
        & pp(aa(type,bool,aa(dB,fun(type,bool),typing(X3),X2),aa(type,type,aa(type,fun(type,type),fun1,sK4(X0,X1,X2,X3)),X0))) ) ),
    introduced(choice_axiom,[]) ).

tff(f167,plain,
    ! [X0: type,X1: dB,X2: dB,X3: fun(nat,type)] :
      ( ? [X4: type] :
          ( pp(aa(type,bool,aa(dB,fun(type,bool),typing(X3),X1),X4))
          & pp(aa(type,bool,aa(dB,fun(type,bool),typing(X3),X2),aa(type,type,aa(type,fun(type,type),fun1,X4),X0))) )
      | ~ pp(aa(type,bool,aa(dB,fun(type,bool),typing(X3),aa(dB,dB,aa(dB,fun(dB,dB),app,X2),X1)),X0)) ),
    inference(ennf_transformation,[],[f132]) ).

tff(f132,plain,
    ! [X0: type,X1: dB,X2: dB,X3: fun(nat,type)] :
      ( pp(aa(type,bool,aa(dB,fun(type,bool),typing(X3),aa(dB,dB,aa(dB,fun(dB,dB),app,X2),X1)),X0))
     => ~ ! [X4: type] :
            ( pp(aa(type,bool,aa(dB,fun(type,bool),typing(X3),X2),aa(type,type,aa(type,fun(type,type),fun1,X4),X0)))
           => ~ pp(aa(type,bool,aa(dB,fun(type,bool),typing(X3),X1),X4)) ) ),
    inference(rectify,[],[f31]) ).

tff(f31,axiom,
    ! [X4: type,X19: dB,X16: dB,X8: fun(nat,type)] :
      ( pp(aa(type,bool,aa(dB,fun(type,bool),typing(X8),aa(dB,dB,aa(dB,fun(dB,dB),app,X16),X19)),X4))
     => ~ ! [X41: type] :
            ( pp(aa(type,bool,aa(dB,fun(type,bool),typing(X8),X16),aa(type,type,aa(type,fun(type,type),fun1,X41),X4)))
           => ~ pp(aa(type,bool,aa(dB,fun(type,bool),typing(X8),X19),X41)) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.NejgEYPEV7/Vampire---4.8_7561',fact_30_typing__elims_I2_J) ).

tff(f327,plain,
    ( ! [X0: dB] :
        ( ~ pp(aa(type,bool,aa(dB,fun(type,bool),typing(shift(type,e,i,t)),a),sK4(foldr(type,type,fun1,ts,t1),X0,var(i),shift(type,e,i,t))))
        | ~ pp(aa(type,bool,aa(dB,fun(type,bool),typing(shift(type,e,i,t)),aa(dB,dB,aa(dB,fun(dB,dB),app,var(i)),X0)),foldr(type,type,fun1,ts,t1))) )
    | ~ spl11_1 ),
    inference(resolution,[],[f320,f229]) ).

tff(f229,plain,
    ! [X2: dB,X3: fun(nat,type),X0: type,X1: dB] :
      ( pp(aa(type,bool,aa(dB,fun(type,bool),typing(X3),X2),aa(type,type,aa(type,fun(type,type),fun1,sK4(X0,X1,X2,X3)),X0)))
      | ~ pp(aa(type,bool,aa(dB,fun(type,bool),typing(X3),aa(dB,dB,aa(dB,fun(dB,dB),app,X2),X1)),X0)) ),
    inference(cnf_transformation,[],[f194]) ).

tff(f320,plain,
    ( ! [X0: type] :
        ( ~ pp(aa(type,bool,aa(dB,fun(type,bool),typing(shift(type,e,i,t)),var(i)),aa(type,type,aa(type,fun(type,type),fun1,X0),foldr(type,type,fun1,ts,t1))))
        | ~ pp(aa(type,bool,aa(dB,fun(type,bool),typing(shift(type,e,i,t)),a),X0)) )
    | ~ spl11_1 ),
    inference(avatar_component_clause,[],[f319]) ).

tff(f319,plain,
    ( spl11_1
  <=> ! [X0: type] :
        ( ~ pp(aa(type,bool,aa(dB,fun(type,bool),typing(shift(type,e,i,t)),a),X0))
        | ~ pp(aa(type,bool,aa(dB,fun(type,bool),typing(shift(type,e,i,t)),var(i)),aa(type,type,aa(type,fun(type,type),fun1,X0),foldr(type,type,fun1,ts,t1)))) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl11_1])]) ).

tff(f326,plain,
    ~ spl11_2,
    inference(avatar_split_clause,[],[f211,f322]) ).

tff(f322,plain,
    ( spl11_2
  <=> thesis ),
    introduced(avatar_definition,[new_symbols(naming,[spl11_2])]) ).

tff(f211,plain,
    ~ thesis,
    inference(cnf_transformation,[],[f119]) ).

tff(f119,plain,
    ~ thesis,
    inference(flattening,[],[f117]) ).

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

tff(f116,conjecture,
    thesis,
    file('/export/starexec/sandbox2/tmp/tmp.NejgEYPEV7/Vampire---4.8_7561',conj_1) ).

tff(f325,plain,
    ( spl11_1
    | spl11_2 ),
    inference(avatar_split_clause,[],[f267,f322,f319]) ).

tff(f267,plain,
    ! [X0: type] :
      ( thesis
      | ~ pp(aa(type,bool,aa(dB,fun(type,bool),typing(shift(type,e,i,t)),a),X0))
      | ~ pp(aa(type,bool,aa(dB,fun(type,bool),typing(shift(type,e,i,t)),var(i)),aa(type,type,aa(type,fun(type,type),fun1,X0),foldr(type,type,fun1,ts,t1)))) ),
    inference(definition_unfolding,[],[f210,f239]) ).

tff(f210,plain,
    ! [X0: type] :
      ( thesis
      | ~ pp(aa(type,bool,aa(dB,fun(type,bool),typing(shift(type,e,i,t)),a),X0))
      | ~ pp(aa(type,bool,aa(dB,fun(type,bool),typing(shift(type,e,i,t)),var(n)),aa(type,type,aa(type,fun(type,type),fun1,X0),foldr(type,type,fun1,ts,t1)))) ),
    inference(cnf_transformation,[],[f156]) ).

tff(f156,plain,
    ! [X0: type] :
      ( thesis
      | ~ pp(aa(type,bool,aa(dB,fun(type,bool),typing(shift(type,e,i,t)),a),X0))
      | ~ pp(aa(type,bool,aa(dB,fun(type,bool),typing(shift(type,e,i,t)),var(n)),aa(type,type,aa(type,fun(type,type),fun1,X0),foldr(type,type,fun1,ts,t1)))) ),
    inference(flattening,[],[f155]) ).

tff(f155,plain,
    ! [X0: type] :
      ( thesis
      | ~ pp(aa(type,bool,aa(dB,fun(type,bool),typing(shift(type,e,i,t)),a),X0))
      | ~ pp(aa(type,bool,aa(dB,fun(type,bool),typing(shift(type,e,i,t)),var(n)),aa(type,type,aa(type,fun(type,type),fun1,X0),foldr(type,type,fun1,ts,t1)))) ),
    inference(ennf_transformation,[],[f118]) ).

tff(f118,plain,
    ! [X0: type] :
      ( pp(aa(type,bool,aa(dB,fun(type,bool),typing(shift(type,e,i,t)),var(n)),aa(type,type,aa(type,fun(type,type),fun1,X0),foldr(type,type,fun1,ts,t1))))
     => ( pp(aa(type,bool,aa(dB,fun(type,bool),typing(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),typing(shift(type,e,i,t)),var(n)),aa(type,type,aa(type,fun(type,type),fun1,X93),foldr(type,type,fun1,ts,t1))))
     => ( pp(aa(type,bool,aa(dB,fun(type,bool),typing(shift(type,e,i,t)),a),X93))
       => thesis ) ),
    file('/export/starexec/sandbox2/tmp/tmp.NejgEYPEV7/Vampire---4.8_7561',conj_0) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09  % Problem    : LCL787_5 : TPTP v8.1.2. Released v6.0.0.
% 0.09/0.10  % 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
% 0.10/0.30  % Computer : n012.cluster.edu
% 0.10/0.30  % Model    : x86_64 x86_64
% 0.10/0.30  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.30  % Memory   : 8042.1875MB
% 0.10/0.30  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.30  % CPULimit   : 300
% 0.10/0.30  % WCLimit    : 300
% 0.10/0.30  % DateTime   : Fri May  3 13:25:10 EDT 2024
% 0.10/0.30  % CPUTime    : 
% 0.10/0.30  This is a TF1_THM_EQU_NAR problem
% 0.10/0.30  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.NejgEYPEV7/Vampire---4.8_7561
% 0.53/0.72  % (7672)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)
% 0.53/0.72  % (7673)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)
% 0.53/0.72  % (7670)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)
% 0.53/0.72  % (7674)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)
% 0.53/0.72  % (7669)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)
% 0.53/0.72  % (7671)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2995ds/78Mi)
% 0.53/0.72  % (7675)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)
% 0.53/0.72  % (7676)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)
% 0.53/0.72  % (7675)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs.
% 0.53/0.73  % (7676)First to succeed.
% 0.53/0.73  % (7672)Also succeeded, but the first one will report.
% 0.53/0.73  % (7676)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-7668"
% 0.53/0.73  % (7676)Refutation found. Thanks to Tanya!
% 0.53/0.73  % SZS status Theorem for Vampire---4
% 0.53/0.73  % SZS output start Proof for Vampire---4
% See solution above
% 0.53/0.73  % (7676)------------------------------
% 0.53/0.73  % (7676)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.53/0.73  % (7676)Termination reason: Refutation
% 0.53/0.73  
% 0.53/0.73  % (7676)Memory used [KB]: 1246
% 0.53/0.73  % (7676)Time elapsed: 0.007 s
% 0.53/0.73  % (7676)Instructions burned: 15 (million)
% 0.53/0.73  % (7668)Success in time 0.417 s
% 0.53/0.73  % Vampire---4.8 exiting
%------------------------------------------------------------------------------