TSTP Solution File: SWV841-1 by Vampire---4.8

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%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SWV841-1 : TPTP v8.1.2. Released v4.1.0.
% 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 : n018.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 10:40:15 EDT 2024

% Result   : Unsatisfiable 0.60s 0.77s
% Output   : Refutation 0.60s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    8
% Syntax   : Number of formulae    :   21 (   6 unt;   0 def)
%            Number of atoms       :   39 (   0 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   34 (  16   ~;  16   |;   0   &)
%                                         (   2 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   3 avg)
%            Maximal term depth    :    5 (   2 avg)
%            Number of predicates  :    5 (   4 usr;   3 prp; 0-3 aty)
%            Number of functors    :   10 (  10 usr;   5 con; 0-2 aty)
%            Number of variables   :   15 (  15   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f662,plain,
    $false,
    inference(avatar_sat_refutation,[],[f553,f582,f661]) ).

fof(f661,plain,
    spl1_2,
    inference(avatar_contradiction_clause,[],[f660]) ).

fof(f660,plain,
    ( $false
    | spl1_2 ),
    inference(subsumption_resolution,[],[f657,f287]) ).

fof(f287,axiom,
    ! [X3,X0] : c_lessequals(c_Orderings_Obot__class_Obot(tc_fun(X0,tc_bool)),X3,tc_fun(X0,tc_bool)),
    file('/export/starexec/sandbox/tmp/tmp.8yU5oXNjBx/Vampire---4.8_29690',cls_empty__subsetI_0) ).

fof(f657,plain,
    ( ~ c_lessequals(c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool)),v_ts,tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))
    | spl1_2 ),
    inference(resolution,[],[f607,f414]) ).

fof(f414,axiom,
    ! [X10,X0,X37,X5] :
      ( c_lessequals(hAPP(hAPP(c_Set_Oinsert(X0),X5),X10),hAPP(hAPP(c_Set_Oinsert(X0),X5),X37),tc_fun(X0,tc_bool))
      | ~ c_lessequals(X10,X37,tc_fun(X0,tc_bool)) ),
    file('/export/starexec/sandbox/tmp/tmp.8yU5oXNjBx/Vampire---4.8_29690',cls_insert__mono_0) ).

fof(f607,plain,
    ( ~ c_lessequals(hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),v_t),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),v_t),v_ts),tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))
    | spl1_2 ),
    inference(resolution,[],[f584,f500]) ).

fof(f500,axiom,
    c_Hoare__Mirabelle_Ohoare__derivs(v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),v_t),v_ts),t_a),
    file('/export/starexec/sandbox/tmp/tmp.8yU5oXNjBx/Vampire---4.8_29690',cls_conjecture_0) ).

fof(f584,plain,
    ( ! [X0] :
        ( ~ c_Hoare__Mirabelle_Ohoare__derivs(v_G,X0,t_a)
        | ~ c_lessequals(hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),v_t),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),X0,tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool)) )
    | spl1_2 ),
    inference(resolution,[],[f552,f436]) ).

fof(f436,axiom,
    ! [X0,X54,X55,X35] :
      ( c_Hoare__Mirabelle_Ohoare__derivs(X35,X54,X0)
      | ~ c_lessequals(X54,X55,tc_fun(tc_Hoare__Mirabelle_Otriple(X0),tc_bool))
      | ~ c_Hoare__Mirabelle_Ohoare__derivs(X35,X55,X0) ),
    file('/export/starexec/sandbox/tmp/tmp.8yU5oXNjBx/Vampire---4.8_29690',cls_weaken_0) ).

fof(f552,plain,
    ( ~ c_Hoare__Mirabelle_Ohoare__derivs(v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),v_t),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a)
    | spl1_2 ),
    inference(avatar_component_clause,[],[f550]) ).

fof(f550,plain,
    ( spl1_2
  <=> c_Hoare__Mirabelle_Ohoare__derivs(v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),v_t),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_2])]) ).

fof(f582,plain,
    spl1_1,
    inference(avatar_contradiction_clause,[],[f581]) ).

fof(f581,plain,
    ( $false
    | spl1_1 ),
    inference(subsumption_resolution,[],[f574,f423]) ).

fof(f423,axiom,
    ! [X0,X4,X5] : c_lessequals(X4,hAPP(hAPP(c_Set_Oinsert(X0),X5),X4),tc_fun(X0,tc_bool)),
    file('/export/starexec/sandbox/tmp/tmp.8yU5oXNjBx/Vampire---4.8_29690',cls_subset__insertI_0) ).

fof(f574,plain,
    ( ~ c_lessequals(v_ts,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),v_t),v_ts),tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))
    | spl1_1 ),
    inference(resolution,[],[f554,f500]) ).

fof(f554,plain,
    ( ! [X0] :
        ( ~ c_Hoare__Mirabelle_Ohoare__derivs(v_G,X0,t_a)
        | ~ c_lessequals(v_ts,X0,tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool)) )
    | spl1_1 ),
    inference(resolution,[],[f548,f436]) ).

fof(f548,plain,
    ( ~ c_Hoare__Mirabelle_Ohoare__derivs(v_G,v_ts,t_a)
    | spl1_1 ),
    inference(avatar_component_clause,[],[f546]) ).

fof(f546,plain,
    ( spl1_1
  <=> c_Hoare__Mirabelle_Ohoare__derivs(v_G,v_ts,t_a) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_1])]) ).

fof(f553,plain,
    ( ~ spl1_1
    | ~ spl1_2 ),
    inference(avatar_split_clause,[],[f501,f550,f546]) ).

fof(f501,axiom,
    ( ~ c_Hoare__Mirabelle_Ohoare__derivs(v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),v_t),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a)
    | ~ c_Hoare__Mirabelle_Ohoare__derivs(v_G,v_ts,t_a) ),
    file('/export/starexec/sandbox/tmp/tmp.8yU5oXNjBx/Vampire---4.8_29690',cls_conjecture_1) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13  % Problem    : SWV841-1 : TPTP v8.1.2. Released v4.1.0.
% 0.16/0.15  % 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
% 0.16/0.36  % Computer : n018.cluster.edu
% 0.16/0.36  % Model    : x86_64 x86_64
% 0.16/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.36  % Memory   : 8042.1875MB
% 0.16/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.16/0.36  % CPULimit   : 300
% 0.16/0.36  % WCLimit    : 300
% 0.16/0.36  % DateTime   : Fri May  3 21:07:23 EDT 2024
% 0.16/0.36  % CPUTime    : 
% 0.16/0.36  This is a CNF_UNS_RFO_SEQ_NHN problem
% 0.16/0.36  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.8yU5oXNjBx/Vampire---4.8_29690
% 0.60/0.76  % (29956)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)
% 0.60/0.76  % (29959)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)
% 0.60/0.76  % (29958)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.60/0.76  % (29960)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)
% 0.60/0.76  % (29957)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)
% 0.60/0.76  % (29961)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)
% 0.60/0.76  % (29962)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)
% 0.60/0.76  % (29963)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)
% 0.60/0.76  % (29963)First to succeed.
% 0.60/0.77  % (29963)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-29946"
% 0.60/0.77  % (29963)Refutation found. Thanks to Tanya!
% 0.60/0.77  % SZS status Unsatisfiable for Vampire---4
% 0.60/0.77  % SZS output start Proof for Vampire---4
% See solution above
% 0.60/0.77  % (29963)------------------------------
% 0.60/0.77  % (29963)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.77  % (29963)Termination reason: Refutation
% 0.60/0.77  
% 0.60/0.77  % (29963)Memory used [KB]: 1430
% 0.60/0.77  % (29963)Time elapsed: 0.009 s
% 0.60/0.77  % (29963)Instructions burned: 12 (million)
% 0.60/0.77  % (29946)Success in time 0.399 s
% 0.60/0.77  % Vampire---4.8 exiting
%------------------------------------------------------------------------------