TSTP Solution File: LCL756_5 by Vampire---4.8

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%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : LCL756_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 : n006.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 07:42:12 EDT 2024

% Result   : Theorem 0.69s 0.89s
% Output   : Refutation 0.69s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :   39
% Syntax   : Number of formulae    :   45 (   8 unt;  37 typ;   0 def)
%            Number of atoms       :    8 (   0 equ)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :    3 (   3   ~;   0   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    3 (   2 avg)
%            Maximal term depth    :    4 (   2 avg)
%            Number of types       :    4 (   3 usr)
%            Number of type conns  :   39 (  18   >;  21   *;   0   +;   0  <<)
%            Number of predicates  :   15 (  14 usr;   1 prp; 0-3 aty)
%            Number of functors    :   20 (  20 usr;   5 con; 0-5 aty)
%            Number of variables   :   24 (   6   !;   0   ?;  24   :)
%                                         (  18  !>;   0  ?*;   0  @-;   0  @+)

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

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

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

tff(type_def_8,type,
    fun: ( $tType * $tType ) > $tType ).

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

tff(func_def_1,type,
    var: nat > dB ).

tff(func_def_2,type,
    dB_case: 
      !>[X0: $tType] : ( ( fun(nat,X0) * fun(dB,fun(dB,X0)) * fun(dB,X0) * dB ) > X0 ) ).

tff(func_def_3,type,
    dB_rec: 
      !>[X0: $tType] : ( ( fun(nat,X0) * fun(dB,fun(dB,fun(X0,fun(X0,X0)))) * fun(dB,fun(X0,X0)) * dB ) > X0 ) ).

tff(func_def_4,type,
    lift: ( dB * nat ) > dB ).

tff(func_def_5,type,
    liftn: ( nat * dB * nat ) > dB ).

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

tff(func_def_7,type,
    suc: nat > nat ).

tff(func_def_8,type,
    semiri532925092at_aux: 
      !>[X0: $tType] : ( ( fun(X0,X0) * nat * X0 ) > X0 ) ).

tff(func_def_9,type,
    aa: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * X0 ) > X1 ) ).

tff(func_def_10,type,
    fFalse: bool ).

tff(func_def_11,type,
    fTrue: bool ).

tff(func_def_12,type,
    ia: nat ).

tff(func_def_13,type,
    ja: nat ).

tff(func_def_14,type,
    ra: dB ).

tff(func_def_15,type,
    sK0: ( nat * nat ) > nat ).

tff(func_def_16,type,
    sK1: ( nat * nat ) > nat ).

tff(func_def_17,type,
    sK2: ( nat * nat ) > nat ).

tff(func_def_18,type,
    sK3: ( nat * nat ) > nat ).

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

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

tff(pred_def_3,type,
    semiring_1: 
      !>[X0: $tType] : $o ).

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

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

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

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

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

tff(pred_def_9,type,
    cancel146912293up_add: 
      !>[X0: $tType] : $o ).

tff(pred_def_10,type,
    ordere236663937imp_le: 
      !>[X0: $tType] : $o ).

tff(pred_def_11,type,
    ordere223160158up_add: 
      !>[X0: $tType] : $o ).

tff(pred_def_12,type,
    it: dB > $o ).

tff(pred_def_13,type,
    ord_less: 
      !>[X0: $tType] : ( ( X0 * X0 ) > $o ) ).

tff(pred_def_14,type,
    pp: bool > $o ).

tff(f234,plain,
    $false,
    inference(subsumption_resolution,[],[f189,f188]) ).

tff(f188,plain,
    ! [X0: nat,X1: nat] : it(subst(ra,var(X0),X1)),
    inference(cnf_transformation,[],[f120]) ).

tff(f120,plain,
    ! [X0: nat,X1: nat] : it(subst(ra,var(X0),X1)),
    inference(rectify,[],[f117]) ).

tff(f117,axiom,
    ! [X47: nat,X48: nat] : it(subst(ra,var(X47),X48)),
    file('/export/starexec/sandbox2/tmp/tmp.b7LsZJG94K/Vampire---4.8_32532',conj_1) ).

tff(f189,plain,
    ~ it(subst(ra,var(suc(ia)),suc(ja))),
    inference(cnf_transformation,[],[f121]) ).

tff(f121,plain,
    ~ it(subst(ra,var(suc(ia)),suc(ja))),
    inference(flattening,[],[f119]) ).

tff(f119,negated_conjecture,
    ~ it(subst(ra,var(suc(ia)),suc(ja))),
    inference(negated_conjecture,[],[f118]) ).

tff(f118,conjecture,
    it(subst(ra,var(suc(ia)),suc(ja))),
    file('/export/starexec/sandbox2/tmp/tmp.b7LsZJG94K/Vampire---4.8_32532',conj_2) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : LCL756_5 : TPTP v8.1.2. Released v6.0.0.
% 0.12/0.14  % 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
% 0.15/0.34  % Computer : n006.cluster.edu
% 0.15/0.34  % Model    : x86_64 x86_64
% 0.15/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.34  % Memory   : 8042.1875MB
% 0.15/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.34  % CPULimit   : 300
% 0.15/0.34  % WCLimit    : 300
% 0.15/0.34  % DateTime   : Fri May  3 13:16:34 EDT 2024
% 0.20/0.35  % CPUTime    : 
% 0.20/0.35  This is a TF1_THM_EQU_NAR problem
% 0.20/0.35  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.b7LsZJG94K/Vampire---4.8_32532
% 0.69/0.88  % (313)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 (2994ds/34Mi)
% 0.69/0.88  % (318)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2994ds/45Mi)
% 0.69/0.88  % (315)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2994ds/78Mi)
% 0.69/0.88  % (314)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 (2994ds/51Mi)
% 0.69/0.88  % (316)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2994ds/33Mi)
% 0.69/0.88  % (317)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 (2994ds/34Mi)
% 0.69/0.88  % (319)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 (2994ds/83Mi)
% 0.69/0.88  % (320)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 (2994ds/56Mi)
% 0.69/0.88  % (319)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs.
% 0.69/0.88  % (316)First to succeed.
% 0.69/0.88  % (313)Also succeeded, but the first one will report.
% 0.69/0.88  % (315)Also succeeded, but the first one will report.
% 0.69/0.88  % (316)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-32748"
% 0.69/0.88  % (318)Also succeeded, but the first one will report.
% 0.69/0.88  % (319)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 0.69/0.89  % (316)Refutation found. Thanks to Tanya!
% 0.69/0.89  % SZS status Theorem for Vampire---4
% 0.69/0.89  % SZS output start Proof for Vampire---4
% See solution above
% 0.69/0.89  % (316)------------------------------
% 0.69/0.89  % (316)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.69/0.89  % (316)Termination reason: Refutation
% 0.69/0.89  
% 0.69/0.89  % (316)Memory used [KB]: 1081
% 0.69/0.89  % (316)Time elapsed: 0.004 s
% 0.69/0.89  % (316)Instructions burned: 4 (million)
% 0.69/0.89  % (32748)Success in time 0.529 s
% 0.69/0.89  % Vampire---4.8 exiting
%------------------------------------------------------------------------------