TSTP Solution File: SWW551_5 by Vampire---4.8

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%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SWW551_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 : n007.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 04:19:56 EDT 2024

% Result   : Theorem 0.60s 0.82s
% Output   : Refutation 0.60s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :   60
% Syntax   : Number of formulae    :   65 (   7 unt;  58 typ;   0 def)
%            Number of atoms       :    7 (   6 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    :    3 (   2 avg)
%            Number of FOOLs       :    1 (   1 fml;   0 var)
%            Number of types       :    6 (   5 usr)
%            Number of type conns  :   63 (  35   >;  28   *;   0   +;   0  <<)
%            Number of predicates  :   10 (   8 usr;   1 prp; 0-5 aty)
%            Number of functors    :   45 (  45 usr;  13 con; 0-6 aty)
%            Number of variables   :   49 (   0   !;   0   ?;  49   :)
%                                         (  49  !>;   0  ?*;   0  @-;   0  @+)

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

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

tff(type_def_7,type,
    list: $tType > $tType ).

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

tff(type_def_9,type,
    option: $tType > $tType ).

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

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

tff(type_def_12,type,
    val: $tType ).

tff(type_def_13,type,
    fun: ( $tType * $tType ) > $tType ).

tff(type_def_14,type,
    product_prod: ( $tType * $tType ) > $tType ).

tff(func_def_0,type,
    combb: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( fun(X0,X1) * 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,
    combk: 
      !>[X0: $tType,X1: $tType] : ( X0 > fun(X1,X0) ) ).

tff(func_def_3,type,
    combs: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( fun(X0,fun(X1,X2)) * fun(X0,X1) ) > fun(X0,X2) ) ).

tff(func_def_4,type,
    start_heap: 
      !>[X0: $tType] : ( list(product_prod(list(char),product_prod(list(char),product_prod(list(product_prod(list(char),ty)),list(product_prod(list(char),product_prod(list(ty),product_prod(ty,X0)))))))) > fun(nat,option(product_prod(list(char),fun(product_prod(list(char),list(char)),option(val))))) ) ).

tff(func_def_5,type,
    new: 
      !>[X0: $tType] : ( list(char) > exp(X0) ) ).

tff(func_def_6,type,
    fun_upd: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * X0 * X1 ) > fun(X0,X1) ) ).

tff(func_def_7,type,
    map_comp: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( fun(X0,option(X1)) * fun(X2,option(X0)) * X2 ) > option(X1) ) ).

tff(func_def_8,type,
    ran: 
      !>[X0: $tType,X1: $tType] : ( fun(X0,option(X1)) > fun(X1,bool) ) ).

tff(func_def_9,type,
    init_fields: list(product_prod(product_prod(list(char),list(char)),ty)) > fun(product_prod(list(char),list(char)),option(val)) ).

tff(func_def_10,type,
    new_Addr: fun(nat,option(product_prod(list(char),fun(product_prod(list(char),list(char)),option(val))))) > option(nat) ).

tff(func_def_11,type,
    bind: 
      !>[X0: $tType,X1: $tType] : fun(option(X0),fun(fun(X0,option(X1)),option(X1))) ).

tff(func_def_12,type,
    map: 
      !>[X0: $tType,X1: $tType] : ( fun(X0,X1) > fun(option(X0),option(X1)) ) ).

tff(func_def_13,type,
    none: 
      !>[X0: $tType] : option(X0) ).

tff(func_def_14,type,
    some: 
      !>[X0: $tType] : fun(X0,option(X0)) ).

tff(func_def_15,type,
    option_case: 
      !>[X0: $tType,X1: $tType] : ( ( X0 * fun(X1,X0) ) > fun(option(X1),X0) ) ).

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

tff(func_def_17,type,
    set: 
      !>[X0: $tType] : ( option(X0) > fun(X0,bool) ) ).

tff(func_def_18,type,
    product_Pair: 
      !>[X0: $tType,X1: $tType] : ( ( X0 * X1 ) > product_prod(X0,X1) ) ).

tff(func_def_19,type,
    product_prod_rec: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( fun(X0,fun(X1,X2)) * product_prod(X0,X1) ) > X2 ) ).

tff(func_def_20,type,
    quickcheck_orelse: 
      !>[X0: $tType] : ( ( option(X0) * option(X0) ) > option(X0) ) ).

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

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

tff(func_def_23,type,
    aa: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * X0 ) > X1 ) ).

tff(func_def_24,type,
    fFalse: bool ).

tff(func_def_25,type,
    fNot: fun(bool,bool) ).

tff(func_def_26,type,
    fTrue: bool ).

tff(func_def_27,type,
    fdisj: fun(bool,fun(bool,bool)) ).

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

tff(func_def_29,type,
    fimplies: fun(bool,fun(bool,bool)) ).

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

tff(func_def_31,type,
    c: list(char) ).

tff(func_def_32,type,
    e: fun(list(char),option(ty)) ).

tff(func_def_33,type,
    fDTs: list(product_prod(product_prod(list(char),list(char)),ty)) ).

tff(func_def_34,type,
    p: list(product_prod(list(char),product_prod(list(char),product_prod(list(product_prod(list(char),ty)),list(product_prod(list(char),product_prod(list(ty),product_prod(ty,product_prod(list(list(char)),exp(list(char))))))))))) ).

tff(func_def_35,type,
    t: ty ).

tff(func_def_36,type,
    a: nat ).

tff(func_def_37,type,
    h_a: fun(nat,option(product_prod(list(char),fun(product_prod(list(char),list(char)),option(val))))) ).

tff(func_def_38,type,
    ha: fun(nat,option(product_prod(list(char),fun(product_prod(list(char),list(char)),option(val))))) ).

tff(func_def_39,type,
    sK0: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * fun(X1,X0) ) > X1 ) ).

tff(pred_def_1,type,
    hconf: 
      !>[X0: $tType] : ( ( list(product_prod(list(char),product_prod(list(char),product_prod(list(product_prod(list(char),ty)),list(product_prod(list(char),product_prod(list(ty),product_prod(ty,X0)))))))) * fun(nat,option(product_prod(list(char),fun(product_prod(list(char),list(char)),option(val))))) ) > $o ) ).

tff(pred_def_2,type,
    oconf: 
      !>[X0: $tType] : ( ( list(product_prod(list(char),product_prod(list(char),product_prod(list(product_prod(list(char),ty)),list(product_prod(list(char),product_prod(list(ty),product_prod(ty,X0)))))))) * fun(nat,option(product_prod(list(char),fun(product_prod(list(char),list(char)),option(val))))) * product_prod(list(char),fun(product_prod(list(char),list(char)),option(val))) ) > $o ) ).

tff(pred_def_3,type,
    preallocated: fun(nat,option(product_prod(list(char),fun(product_prod(list(char),list(char)),option(val))))) > $o ).

tff(pred_def_4,type,
    hext: ( fun(nat,option(product_prod(list(char),fun(product_prod(list(char),list(char)),option(val))))) * fun(nat,option(product_prod(list(char),fun(product_prod(list(char),list(char)),option(val))))) ) > $o ).

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

tff(pred_def_6,type,
    fields: 
      !>[X0: $tType] : ( ( list(product_prod(list(char),product_prod(list(char),product_prod(list(product_prod(list(char),ty)),list(product_prod(list(char),product_prod(list(ty),product_prod(ty,X0)))))))) * list(char) * list(product_prod(product_prod(list(char),list(char)),ty)) ) > $o ) ).

tff(pred_def_7,type,
    wTrt: ( list(product_prod(list(char),product_prod(list(char),product_prod(list(product_prod(list(char),ty)),list(product_prod(list(char),product_prod(list(ty),product_prod(ty,product_prod(list(list(char)),exp(list(char))))))))))) * fun(nat,option(product_prod(list(char),fun(product_prod(list(char),list(char)),option(val))))) * fun(list(char),option(ty)) * exp(list(char)) * ty ) > $o ).

tff(pred_def_8,type,
    pp: bool > $o ).

tff(f135,plain,
    $false,
    inference(subsumption_resolution,[],[f130,f128]) ).

tff(f128,plain,
    new_Addr(ha) != aa(nat,option(nat),some(nat),a),
    inference(cnf_transformation,[],[f119]) ).

tff(f119,plain,
    new_Addr(ha) != aa(nat,option(nat),some(nat),a),
    inference(flattening,[],[f118]) ).

tff(f118,negated_conjecture,
    ( ~ new_Addr(ha) = aa(nat,option(nat),some(nat),a) ),
    inference(negated_conjecture,[],[f117]) ).

tff(f117,conjecture,
    new_Addr(ha) = aa(nat,option(nat),some(nat),a),
    file('/export/starexec/sandbox2/tmp/tmp.WYcN7XfzIz/Vampire---4.8_25523',conj_0) ).

tff(f130,plain,
    new_Addr(ha) = aa(nat,option(nat),some(nat),a),
    inference(cnf_transformation,[],[f1]) ).

tff(f1,axiom,
    new_Addr(ha) = aa(nat,option(nat),some(nat),a),
    file('/export/starexec/sandbox2/tmp/tmp.WYcN7XfzIz/Vampire---4.8_25523',fact_0_RedNew_I1_J) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.11  % Problem    : SWW551_5 : TPTP v8.1.2. Released v6.0.0.
% 0.02/0.12  % 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
% 0.12/0.33  % Computer : n007.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit   : 300
% 0.12/0.33  % WCLimit    : 300
% 0.12/0.33  % DateTime   : Tue Apr 30 17:44:33 EDT 2024
% 0.12/0.33  % CPUTime    : 
% 0.12/0.33  This is a TF1_THM_EQU_NAR problem
% 0.12/0.33  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.WYcN7XfzIz/Vampire---4.8_25523
% 0.60/0.82  % (25636)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)
% 0.60/0.82  % (25635)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2995ds/78Mi)
% 0.60/0.82  % (25634)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)
% 0.60/0.82  % (25637)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)
% 0.60/0.82  % (25638)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)
% 0.60/0.82  % (25639)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)
% 0.60/0.82  % (25640)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)
% 0.60/0.82  % (25636)First to succeed.
% 0.60/0.82  % (25633)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)
% 0.60/0.82  % (25639)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs.
% 0.60/0.82  % (25640)Also succeeded, but the first one will report.
% 0.60/0.82  % (25638)Also succeeded, but the first one will report.
% 0.60/0.82  % (25636)Refutation found. Thanks to Tanya!
% 0.60/0.82  % SZS status Theorem for Vampire---4
% 0.60/0.82  % SZS output start Proof for Vampire---4
% See solution above
% 0.60/0.82  % (25636)------------------------------
% 0.60/0.82  % (25636)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.82  % (25636)Termination reason: Refutation
% 0.60/0.82  
% 0.60/0.82  % (25636)Memory used [KB]: 1099
% 0.60/0.82  % (25636)Time elapsed: 0.004 s
% 0.60/0.82  % (25636)Instructions burned: 4 (million)
% 0.60/0.82  % (25636)------------------------------
% 0.60/0.82  % (25636)------------------------------
% 0.60/0.82  % (25631)Success in time 0.487 s
% 0.60/0.83  % Vampire---4.8 exiting
%------------------------------------------------------------------------------