TSTP Solution File: LCL779_5 by Vampire---4.8

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%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : LCL779_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 : n008.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 : Wed May  1 03:20:03 EDT 2024

% Result   : Theorem 0.61s 0.80s
% Output   : Refutation 0.61s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :   45
% Syntax   : Number of formulae    :   50 (   7 unt;  43 typ;   0 def)
%            Number of atoms       :    7 (   0 equ)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :    3 (   3   ~;   0   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    2 (   1 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of types       :    4 (   3 usr)
%            Number of type conns  :   56 (  28   >;  28   *;   0   +;   0  <<)
%            Number of predicates  :    7 (   6 usr;   1 prp; 0-4 aty)
%            Number of functors    :   34 (  34 usr;   9 con; 0-5 aty)
%            Number of variables   :   30 (   0   !;   0   ?;  30   :)
%                                         (  30  !>;   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,
    fun: ( $tType * $tType ) > $tType ).

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

tff(func_def_1,type,
    it: fun(dB,bool) ).

tff(func_def_2,type,
    beta: fun(dB,fun(dB,bool)) ).

tff(func_def_3,type,
    abs: dB > dB ).

tff(func_def_4,type,
    app: fun(dB,fun(dB,dB)) ).

tff(func_def_5,type,
    var: nat > dB ).

tff(func_def_6,type,
    dB_case: 
      !>[X0: $tType] : ( ( fun(nat,X0) * fun(dB,fun(dB,X0)) * fun(dB,X0) * dB ) > X0 ) ).

tff(func_def_7,type,
    dB_size: dB > nat ).

tff(func_def_8,type,
    liftn: ( nat * dB * nat ) > dB ).

tff(func_def_9,type,
    subst: ( dB * dB * nat ) > dB ).

tff(func_def_10,type,
    substn: ( dB * dB * nat ) > dB ).

tff(func_def_11,type,
    append: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) ) > list(X0) ) ).

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

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

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

tff(func_def_15,type,
    nil: 
      !>[X0: $tType] : list(X0) ).

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

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

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

tff(func_def_19,type,
    sublist: 
      !>[X0: $tType] : ( ( list(X0) * fun(nat,bool) ) > list(X0) ) ).

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

tff(func_def_21,type,
    aa: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * X0 ) > X1 ) ).

tff(func_def_22,type,
    fFalse: bool ).

tff(func_def_23,type,
    fTrue: bool ).

tff(func_def_24,type,
    i: nat ).

tff(func_def_25,type,
    r: dB ).

tff(func_def_26,type,
    s: dB ).

tff(func_def_27,type,
    ss: list(dB) ).

tff(func_def_28,type,
    sK0: 
      !>[X0: $tType,X1: $tType] : ( fun(X0,fun(X1,X0)) > X1 ) ).

tff(func_def_29,type,
    sK1: 
      !>[X0: $tType,X1: $tType] : ( fun(X0,fun(X1,X0)) > X1 ) ).

tff(func_def_30,type,
    sK2: 
      !>[X0: $tType,X1: $tType] : ( fun(X0,fun(X1,X0)) > X0 ) ).

tff(func_def_31,type,
    sK3: 
      !>[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,
    step1: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,bool)) * list(X0) * list(X0) ) > $o ) ).

tff(pred_def_3,type,
    list_ex1: 
      !>[X0: $tType] : ( ( fun(X0,bool) * list(X0) ) > $o ) ).

tff(pred_def_4,type,
    listsp: 
      !>[X0: $tType] : ( ( fun(X0,bool) * list(X0) ) > $o ) ).

tff(pred_def_5,type,
    member: 
      !>[X0: $tType] : ( ( X0 * fun(X0,bool) ) > $o ) ).

tff(pred_def_6,type,
    pp: bool > $o ).

tff(f181,plain,
    $false,
    inference(subsumption_resolution,[],[f148,f146]) ).

tff(f146,plain,
    pp(aa(dB,bool,it,s)),
    inference(cnf_transformation,[],[f105]) ).

tff(f105,axiom,
    pp(aa(dB,bool,it,s)),
    file('/export/starexec/sandbox/tmp/tmp.bLMoMtFKPV/Vampire---4.8_26902',conj_2) ).

tff(f148,plain,
    ~ pp(aa(dB,bool,it,s)),
    inference(cnf_transformation,[],[f109]) ).

tff(f109,plain,
    ~ pp(aa(dB,bool,it,s)),
    inference(flattening,[],[f108]) ).

tff(f108,negated_conjecture,
    ~ pp(aa(dB,bool,it,s)),
    inference(negated_conjecture,[],[f107]) ).

tff(f107,conjecture,
    pp(aa(dB,bool,it,s)),
    file('/export/starexec/sandbox/tmp/tmp.bLMoMtFKPV/Vampire---4.8_26902',conj_4) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10  % Problem    : LCL779_5 : TPTP v8.1.2. Released v6.0.0.
% 0.10/0.11  % 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
% 0.10/0.31  % Computer : n008.cluster.edu
% 0.10/0.31  % Model    : x86_64 x86_64
% 0.10/0.31  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31  % Memory   : 8042.1875MB
% 0.10/0.31  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31  % CPULimit   : 300
% 0.10/0.31  % WCLimit    : 300
% 0.10/0.31  % DateTime   : Tue Apr 30 16:37:57 EDT 2024
% 0.10/0.31  % CPUTime    : 
% 0.10/0.31  This is a TF1_THM_EQU_NAR problem
% 0.10/0.32  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.bLMoMtFKPV/Vampire---4.8_26902
% 0.61/0.80  % (27015)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)
% 0.61/0.80  % (27014)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)
% 0.61/0.80  % (27016)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2995ds/78Mi)
% 0.61/0.80  % (27017)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)
% 0.61/0.80  % (27018)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)
% 0.61/0.80  % (27019)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)
% 0.61/0.80  % (27020)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)
% 0.61/0.80  % (27021)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)
% 0.61/0.80  % (27017)First to succeed.
% 0.61/0.80  % (27016)Also succeeded, but the first one will report.
% 0.61/0.80  % (27020)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs.
% 0.61/0.80  % (27019)Also succeeded, but the first one will report.
% 0.61/0.80  % (27017)Refutation found. Thanks to Tanya!
% 0.61/0.80  % SZS status Theorem for Vampire---4
% 0.61/0.80  % SZS output start Proof for Vampire---4
% See solution above
% 0.61/0.80  % (27017)------------------------------
% 0.61/0.80  % (27017)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.80  % (27017)Termination reason: Refutation
% 0.61/0.80  
% 0.61/0.80  % (27017)Memory used [KB]: 1100
% 0.61/0.80  % (27017)Time elapsed: 0.004 s
% 0.61/0.80  % (27017)Instructions burned: 5 (million)
% 0.61/0.80  % (27017)------------------------------
% 0.61/0.80  % (27017)------------------------------
% 0.61/0.80  % (27011)Success in time 0.485 s
% 0.61/0.81  % Vampire---4.8 exiting
%------------------------------------------------------------------------------