TSTP Solution File: SWW512_5 by Vampire---4.8

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%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SWW512_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 : n009.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 04:19:43 EDT 2024

% Result   : Theorem 0.55s 0.74s
% Output   : Refutation 0.55s
% 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       :    3 (   2 usr)
%            Number of type conns  :   32 (  19   >;  13   *;   0   +;   0  <<)
%            Number of predicates  :   13 (  12 usr;   1 prp; 0-6 aty)
%            Number of functors    :   23 (  23 usr;   5 con; 0-5 aty)
%            Number of variables   :   43 (   6   !;   0   ?;  43   :)
%                                         (  37  !>;   0  ?*;   0  @-;   0  @+)

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

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

tff(type_def_7,type,
    hoare_28830079triple: $tType > $tType ).

tff(type_def_8,type,
    fun: ( $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,
    bot_bot: 
      !>[X0: $tType] : X0 ).

tff(func_def_5,type,
    ord_Least: 
      !>[X0: $tType] : ( fun(X0,bool) > X0 ) ).

tff(func_def_6,type,
    ord_less_eq: 
      !>[X0: $tType] : fun(X0,fun(X0,bool)) ).

tff(func_def_7,type,
    powp: 
      !>[X0: $tType] : ( fun(X0,bool) > fun(fun(X0,bool),bool) ) ).

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

tff(func_def_9,type,
    pow: 
      !>[X0: $tType] : ( fun(X0,bool) > fun(fun(X0,bool),bool) ) ).

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

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

tff(func_def_12,type,
    fFalse: bool ).

tff(func_def_13,type,
    fTrue: bool ).

tff(func_def_14,type,
    fconj: fun(bool,fun(bool,bool)) ).

tff(func_def_15,type,
    fequal: 
      !>[X0: $tType] : fun(X0,fun(X0,bool)) ).

tff(func_def_16,type,
    member: 
      !>[X0: $tType] : fun(X0,fun(fun(X0,bool),bool)) ).

tff(func_def_17,type,
    g: fun(hoare_28830079triple(a),bool) ).

tff(func_def_18,type,
    ga: fun(hoare_28830079triple(a),bool) ).

tff(func_def_19,type,
    sK0: 
      !>[X0: $tType] : ( ( fun(X0,bool) * fun(X0,bool) ) > X0 ) ).

tff(func_def_20,type,
    sK1: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * fun(X1,X0) ) > X1 ) ).

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

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

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

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

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

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

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

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

tff(pred_def_9,type,
    hoare_992312373derivs: 
      !>[X0: $tType] : ( ( fun(hoare_28830079triple(X0),bool) * fun(hoare_28830079triple(X0),bool) ) > $o ) ).

tff(pred_def_10,type,
    inv_imagep: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,fun(X0,bool)) * fun(X1,X0) * X1 * X1 ) > $o ) ).

tff(pred_def_11,type,
    pp: bool > $o ).

tff(pred_def_12,type,
    sQ2_eqProxy: 
      !>[X0: $tType] : ( ( X0 * X0 ) > $o ) ).

tff(f208,plain,
    $false,
    inference(subsumption_resolution,[],[f172,f181]) ).

tff(f181,plain,
    ! [X0: $tType,X1: fun(hoare_28830079triple(X0),bool)] : hoare_992312373derivs(X0,X1,bot_bot(fun(hoare_28830079triple(X0),bool))),
    inference(cnf_transformation,[],[f136]) ).

tff(f136,plain,
    ! [X0: $tType,X1: fun(hoare_28830079triple(X0),bool)] : hoare_992312373derivs(X0,X1,bot_bot(fun(hoare_28830079triple(X0),bool))),
    inference(rectify,[],[f1]) ).

tff(f1,axiom,
    ! [X1: $tType,X3: fun(hoare_28830079triple(X1),bool)] : hoare_992312373derivs(X1,X3,bot_bot(fun(hoare_28830079triple(X1),bool))),
    file('/export/starexec/sandbox/tmp/tmp.7ctEr3enlJ/Vampire---4.8_18425',fact_0_empty) ).

tff(f172,plain,
    ~ hoare_992312373derivs(a,ga,bot_bot(fun(hoare_28830079triple(a),bool))),
    inference(cnf_transformation,[],[f128]) ).

tff(f128,plain,
    ~ hoare_992312373derivs(a,ga,bot_bot(fun(hoare_28830079triple(a),bool))),
    inference(flattening,[],[f127]) ).

tff(f127,negated_conjecture,
    ~ hoare_992312373derivs(a,ga,bot_bot(fun(hoare_28830079triple(a),bool))),
    inference(negated_conjecture,[],[f126]) ).

tff(f126,conjecture,
    hoare_992312373derivs(a,ga,bot_bot(fun(hoare_28830079triple(a),bool))),
    file('/export/starexec/sandbox/tmp/tmp.7ctEr3enlJ/Vampire---4.8_18425',conj_1) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem    : SWW512_5 : TPTP v8.1.2. Released v6.0.0.
% 0.07/0.15  % 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 : n009.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
% 0.15/0.36  % CPULimit   : 300
% 0.15/0.36  % WCLimit    : 300
% 0.15/0.36  % DateTime   : Tue Apr 30 17:50:41 EDT 2024
% 0.15/0.36  % CPUTime    : 
% 0.15/0.36  This is a TF1_THM_EQU_NAR problem
% 0.15/0.36  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.7ctEr3enlJ/Vampire---4.8_18425
% 0.55/0.74  % (18673)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)
% 0.55/0.74  % (18666)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)
% 0.55/0.74  % (18668)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.55/0.74  % (18669)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)
% 0.55/0.74  % (18667)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)
% 0.55/0.74  % (18670)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)
% 0.55/0.74  % (18671)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)
% 0.55/0.74  % (18673)First to succeed.
% 0.55/0.74  % (18673)Refutation found. Thanks to Tanya!
% 0.55/0.74  % SZS status Theorem for Vampire---4
% 0.55/0.74  % SZS output start Proof for Vampire---4
% See solution above
% 0.55/0.74  % (18673)------------------------------
% 0.55/0.74  % (18673)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.55/0.74  % (18673)Termination reason: Refutation
% 0.55/0.74  
% 0.55/0.74  % (18673)Memory used [KB]: 1109
% 0.55/0.74  % (18673)Time elapsed: 0.003 s
% 0.55/0.74  % (18673)Instructions burned: 5 (million)
% 0.55/0.74  % (18673)------------------------------
% 0.55/0.74  % (18673)------------------------------
% 0.55/0.74  % (18662)Success in time 0.371 s
% 0.55/0.74  % Vampire---4.8 exiting
%------------------------------------------------------------------------------