TSTP Solution File: LCL773_5 by Vampire---4.8

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%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : LCL773_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 : 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 : Wed May  1 03:20:01 EDT 2024

% Result   : Theorem 0.57s 0.76s
% Output   : Refutation 0.57s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :   55
% Syntax   : Number of formulae    :   63 (   7 unt;  52 typ;   0 def)
%            Number of atoms       :   15 (   0 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :    9 (   5   ~;   2   |;   0   &)
%                                         (   0 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   3 avg)
%            Maximal term depth    :    4 (   2 avg)
%            Number of types       :    7 (   6 usr)
%            Number of type conns  :   71 (  33   >;  38   *;   0   +;   0  <<)
%            Number of predicates  :   15 (  14 usr;   1 prp; 0-3 aty)
%            Number of functors    :   32 (  32 usr;   6 con; 0-5 aty)
%            Number of variables   :   33 (  12   !;   0   ?;  33   :)
%                                         (  21  !>;   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,
    list: $tType > $tType ).

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

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

tff(type_def_11,type,
    literal: $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,
    it: fun(dB,bool) ).

tff(func_def_5,type,
    abs: dB > dB ).

tff(func_def_6,type,
    app: fun(dB,fun(dB,dB)) ).

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

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

tff(func_def_9,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_10,type,
    dB_size: dB > nat ).

tff(func_def_11,type,
    lift: ( dB * nat ) > dB ).

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

tff(func_def_13,type,
    subst: ( dB * dB * 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,
    nat_size: nat > nat ).

tff(func_def_17,type,
    semiring_1_of_nat: 
      !>[X0: $tType] : ( nat > X0 ) ).

tff(func_def_18,type,
    size_size: 
      !>[X0: $tType] : ( X0 > nat ) ).

tff(func_def_19,type,
    char_size: char > nat ).

tff(func_def_20,type,
    aa: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * X0 ) > X1 ) ).

tff(func_def_21,type,
    fFalse: bool ).

tff(func_def_22,type,
    fTrue: bool ).

tff(func_def_23,type,
    i: nat ).

tff(func_def_24,type,
    r: dB ).

tff(func_def_25,type,
    sK4: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * fun(X1,X0) ) > X1 ) ).

tff(func_def_26,type,
    sK5: ( dB * dB * dB ) > dB ).

tff(func_def_27,type,
    sK6: ( dB * dB * dB ) > dB ).

tff(func_def_28,type,
    sK7: ( dB * dB * dB ) > dB ).

tff(func_def_29,type,
    sK8: ( dB * dB ) > dB ).

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

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

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

tff(pred_def_4,type,
    semiring_char_0: 
      !>[X0: $tType] : $o ).

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

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

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

tff(pred_def_8,type,
    listsp: 
      !>[X0: $tType] : ( ( fun(X0,bool) * list(X0) ) > $o ) ).

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

tff(pred_def_10,type,
    pp: bool > $o ).

tff(pred_def_11,type,
    sP0: ( nat * nat * fun(nat,fun(nat,bool)) ) > $o ).

tff(pred_def_12,type,
    sP1: ( nat * nat * fun(nat,fun(nat,bool)) ) > $o ).

tff(pred_def_13,type,
    sP2: ( dB * dB * dB ) > $o ).

tff(pred_def_14,type,
    sP3: ( dB * dB * dB ) > $o ).

tff(f317,plain,
    $false,
    inference(unit_resulting_resolution,[],[f227,f229,f232]) ).

tff(f232,plain,
    ! [X2: dB,X0: nat,X1: nat] :
      ( pp(aa(dB,bool,it,subst(X2,var(X1),X0)))
      | ~ pp(aa(dB,bool,it,X2)) ),
    inference(cnf_transformation,[],[f171]) ).

tff(f171,plain,
    ! [X0: nat,X1: nat,X2: dB] :
      ( pp(aa(dB,bool,it,subst(X2,var(X1),X0)))
      | ~ pp(aa(dB,bool,it,X2)) ),
    inference(ennf_transformation,[],[f126]) ).

tff(f126,plain,
    ! [X0: nat,X1: nat,X2: dB] :
      ( pp(aa(dB,bool,it,X2))
     => pp(aa(dB,bool,it,subst(X2,var(X1),X0))) ),
    inference(rectify,[],[f2]) ).

tff(f2,axiom,
    ! [X4: nat,X5: nat,X6: dB] :
      ( pp(aa(dB,bool,it,X6))
     => pp(aa(dB,bool,it,subst(X6,var(X5),X4))) ),
    file('/export/starexec/sandbox/tmp/tmp.jsoYRmGKvI/Vampire---4.8_18516',fact_1_subst__Var__IT) ).

tff(f229,plain,
    ~ pp(aa(dB,bool,it,subst(r,var(i),zero_zero(nat)))),
    inference(cnf_transformation,[],[f123]) ).

tff(f123,plain,
    ~ pp(aa(dB,bool,it,subst(r,var(i),zero_zero(nat)))),
    inference(flattening,[],[f122]) ).

tff(f122,negated_conjecture,
    ~ pp(aa(dB,bool,it,subst(r,var(i),zero_zero(nat)))),
    inference(negated_conjecture,[],[f121]) ).

tff(f121,conjecture,
    pp(aa(dB,bool,it,subst(r,var(i),zero_zero(nat)))),
    file('/export/starexec/sandbox/tmp/tmp.jsoYRmGKvI/Vampire---4.8_18516',conj_2) ).

tff(f227,plain,
    pp(aa(dB,bool,it,r)),
    inference(cnf_transformation,[],[f119]) ).

tff(f119,axiom,
    pp(aa(dB,bool,it,r)),
    file('/export/starexec/sandbox/tmp/tmp.jsoYRmGKvI/Vampire---4.8_18516',conj_0) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13  % Problem    : LCL773_5 : TPTP v8.1.2. Released v6.0.0.
% 0.11/0.15  % 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
% 0.15/0.36  % Computer : n020.cluster.edu
% 0.15/0.36  % Model    : x86_64 x86_64
% 0.15/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36  % Memory   : 8042.1875MB
% 0.15/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.37  % CPULimit   : 300
% 0.15/0.37  % WCLimit    : 300
% 0.15/0.37  % DateTime   : Tue Apr 30 16:41:17 EDT 2024
% 0.15/0.37  % CPUTime    : 
% 0.15/0.37  This is a TF1_THM_EQU_NAR problem
% 0.15/0.37  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.jsoYRmGKvI/Vampire---4.8_18516
% 0.57/0.76  % (18774)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)
% 0.57/0.76  % (18774)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs.
% 0.57/0.76  % (18775)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)
% 0.57/0.76  % (18768)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)
% 0.57/0.76  % (18770)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.57/0.76  % (18769)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)
% 0.57/0.76  % (18772)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)
% 0.57/0.76  % (18773)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)
% 0.57/0.76  % (18771)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)
% 0.57/0.76  % (18774)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 0.57/0.76  % (18774)First to succeed.
% 0.57/0.76  % (18775)Also succeeded, but the first one will report.
% 0.57/0.76  % (18774)Refutation found. Thanks to Tanya!
% 0.57/0.76  % SZS status Theorem for Vampire---4
% 0.57/0.76  % SZS output start Proof for Vampire---4
% See solution above
% 0.57/0.76  % (18774)------------------------------
% 0.57/0.76  % (18774)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.57/0.76  % (18774)Termination reason: Refutation
% 0.57/0.76  
% 0.57/0.76  % (18774)Memory used [KB]: 1176
% 0.57/0.76  % (18774)Time elapsed: 0.004 s
% 0.57/0.76  % (18774)Instructions burned: 10 (million)
% 0.57/0.76  % (18774)------------------------------
% 0.57/0.76  % (18774)------------------------------
% 0.57/0.76  % (18764)Success in time 0.382 s
% 0.57/0.76  % Vampire---4.8 exiting
%------------------------------------------------------------------------------