TSTP Solution File: LCL792_5 by Vampire---4.8

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%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : LCL792_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 : n015.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 07:42:32 EDT 2024

% Result   : Theorem 0.57s 0.74s
% Output   : Refutation 0.57s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :   50
% Syntax   : Number of formulae    :   59 (   8 unt;  47 typ;   0 def)
%            Number of atoms       :   16 (   0 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :   10 (   6   ~;   2   |;   0   &)
%                                         (   0 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   3 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of types       :    8 (   7 usr)
%            Number of type conns  :   37 (  22   >;  15   *;   0   +;   0  <<)
%            Number of predicates  :   17 (  16 usr;   1 prp; 0-3 aty)
%            Number of functors    :   24 (  24 usr;   5 con; 0-4 aty)
%            Number of variables   :   34 (   8   !;   0   ?;  34   :)
%                                         (  26  !>;   0  ?*;   0  @-;   0  @+)

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

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

tff(type_def_7,type,
    dB: $tType ).

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

tff(type_def_9,type,
    char1: $tType ).

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

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

tff(type_def_12,type,
    fun: ( $tType * $tType ) > $tType ).

tff(func_def_0,type,
    sgn_sgn: 
      !>[X0: $tType] : ( X0 > X0 ) ).

tff(func_def_1,type,
    zero_zero: 
      !>[X0: $tType] : X0 ).

tff(func_def_2,type,
    bool_size: bool > nat ).

tff(func_def_3,type,
    if: 
      !>[X0: $tType] : ( ( bool * X0 * X0 ) > X0 ) ).

tff(func_def_4,type,
    nat1: int > nat ).

tff(func_def_5,type,
    ring_1_of_int: 
      !>[X0: $tType] : ( int > X0 ) ).

tff(func_def_6,type,
    lift: ( dB * nat ) > dB ).

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

tff(func_def_8,type,
    nat_size: nat > nat ).

tff(func_def_9,type,
    semiring_1_of_nat: 
      !>[X0: $tType] : ( nat > X0 ) ).

tff(func_def_10,type,
    semiri532925092at_aux: 
      !>[X0: $tType] : ( ( fun(X0,X0) * nat * X0 ) > X0 ) ).

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

tff(func_def_12,type,
    nat_tsub: ( int * int ) > int ).

tff(func_def_13,type,
    char: ( nibble * nibble ) > char1 ).

tff(func_def_14,type,
    char_case: 
      !>[X0: $tType] : ( ( fun(nibble,fun(nibble,X0)) * char1 ) > X0 ) ).

tff(func_def_15,type,
    char_rec: 
      !>[X0: $tType] : ( ( fun(nibble,fun(nibble,X0)) * char1 ) > X0 ) ).

tff(func_def_16,type,
    char_size: char1 > nat ).

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

tff(func_def_18,type,
    fFalse: bool ).

tff(func_def_19,type,
    fTrue: bool ).

tff(func_def_20,type,
    t: dB ).

tff(func_def_21,type,
    u: dB ).

tff(func_def_22,type,
    ua: dB ).

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

tff(pred_def_2,type,
    ring_1: 
      !>[X0: $tType] : $o ).

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

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

tff(pred_def_5,type,
    ring_char_0: 
      !>[X0: $tType] : $o ).

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

tff(pred_def_7,type,
    semiring_1: 
      !>[X0: $tType] : $o ).

tff(pred_def_8,type,
    linorder: 
      !>[X0: $tType] : $o ).

tff(pred_def_9,type,
    preorder: 
      !>[X0: $tType] : $o ).

tff(pred_def_10,type,
    semiring_char_0: 
      !>[X0: $tType] : $o ).

tff(pred_def_11,type,
    linordered_idom: 
      !>[X0: $tType] : $o ).

tff(pred_def_12,type,
    linordered_semidom: 
      !>[X0: $tType] : $o ).

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

tff(pred_def_14,type,
    ord_less_eq: 
      !>[X0: $tType] : ( ( X0 * X0 ) > $o ) ).

tff(pred_def_15,type,
    pp: bool > $o ).

tff(pred_def_16,type,
    sQ0_eqProxy: 
      !>[X0: $tType] : ( ( X0 * X0 ) > $o ) ).

tff(f174,plain,
    $false,
    inference(subsumption_resolution,[],[f173,f166]) ).

tff(f166,plain,
    it(u),
    inference(cnf_transformation,[],[f3]) ).

tff(f3,axiom,
    it(u),
    file('/export/starexec/sandbox/tmp/tmp.BkKP2jqo5a/Vampire---4.8_23236',fact_2_uIT) ).

tff(f173,plain,
    ~ it(u),
    inference(resolution,[],[f155,f156]) ).

tff(f156,plain,
    ! [X0: nat,X1: dB] :
      ( it(lift(X1,X0))
      | ~ it(X1) ),
    inference(cnf_transformation,[],[f148]) ).

tff(f148,plain,
    ! [X0: nat,X1: dB] :
      ( it(lift(X1,X0))
      | ~ it(X1) ),
    inference(ennf_transformation,[],[f139]) ).

tff(f139,plain,
    ! [X0: nat,X1: dB] :
      ( it(X1)
     => it(lift(X1,X0)) ),
    inference(rectify,[],[f4]) ).

tff(f4,axiom,
    ! [X3: nat,X4: dB] :
      ( it(X4)
     => it(lift(X4,X3)) ),
    file('/export/starexec/sandbox/tmp/tmp.BkKP2jqo5a/Vampire---4.8_23236',fact_3_lift__IT) ).

tff(f155,plain,
    ~ it(lift(u,zero_zero(nat))),
    inference(cnf_transformation,[],[f138]) ).

tff(f138,plain,
    ~ it(lift(u,zero_zero(nat))),
    inference(flattening,[],[f137]) ).

tff(f137,negated_conjecture,
    ~ it(lift(u,zero_zero(nat))),
    inference(negated_conjecture,[],[f136]) ).

tff(f136,conjecture,
    it(lift(u,zero_zero(nat))),
    file('/export/starexec/sandbox/tmp/tmp.BkKP2jqo5a/Vampire---4.8_23236',conj_0) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : LCL792_5 : TPTP v8.1.2. Released v6.0.0.
% 0.13/0.14  % 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
% 0.14/0.35  % Computer : n015.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit   : 300
% 0.14/0.35  % WCLimit    : 300
% 0.14/0.35  % DateTime   : Fri May  3 13:56:21 EDT 2024
% 0.14/0.35  % CPUTime    : 
% 0.14/0.35  This is a TF1_THM_EQU_NAR problem
% 0.14/0.36  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.BkKP2jqo5a/Vampire---4.8_23236
% 0.57/0.74  % (23351)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 (2996ds/56Mi)
% 0.57/0.74  % (23351)First to succeed.
% 0.57/0.74  % (23346)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.57/0.74  % (23344)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 (2996ds/34Mi)
% 0.57/0.74  % (23348)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 (2996ds/34Mi)
% 0.57/0.74  % (23345)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 (2996ds/51Mi)
% 0.57/0.74  % (23349)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2996ds/45Mi)
% 0.57/0.74  % (23347)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2996ds/33Mi)
% 0.57/0.74  % (23351)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-23343"
% 0.57/0.74  % (23350)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 (2996ds/83Mi)
% 0.57/0.74  % (23351)Refutation found. Thanks to Tanya!
% 0.57/0.74  % SZS status Theorem for Vampire---4
% 0.57/0.74  % SZS output start Proof for Vampire---4
% See solution above
% 0.57/0.74  % (23351)------------------------------
% 0.57/0.74  % (23351)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.74  % (23351)Termination reason: Refutation
% 0.57/0.74  
% 0.57/0.74  % (23351)Memory used [KB]: 1088
% 0.57/0.74  % (23351)Time elapsed: 0.002 s
% 0.57/0.74  % (23351)Instructions burned: 3 (million)
% 0.57/0.74  % (23343)Success in time 0.378 s
% 0.57/0.74  % Vampire---4.8 exiting
%------------------------------------------------------------------------------