TSTP Solution File: SWV242-1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SWV242-1 : TPTP v8.1.2. Released v3.2.0.
% 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 : 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 : Sun May  5 10:28:32 EDT 2024

% Result   : Unsatisfiable 0.71s 0.87s
% Output   : Refutation 0.71s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    9
% Syntax   : Number of formulae    :   23 (   7 unt;   0 def)
%            Number of atoms       :   42 (   0 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   36 (  17   ~;  17   |;   0   &)
%                                         (   2 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   3 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    4 (   3 usr;   3 prp; 0-3 aty)
%            Number of functors    :    8 (   8 usr;   5 con; 0-3 aty)
%            Number of variables   :   14 (  14   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1441,plain,
    $false,
    inference(avatar_sat_refutation,[],[f1407,f1423,f1440]) ).

fof(f1440,plain,
    spl1_2,
    inference(avatar_contradiction_clause,[],[f1439]) ).

fof(f1439,plain,
    ( $false
    | spl1_2 ),
    inference(subsumption_resolution,[],[f1437,f1387]) ).

fof(f1387,axiom,
    ! [X1,X12,X13] : c_lessequals(X12,c_union(X12,X13,X1),tc_set(X1)),
    file('/export/starexec/sandbox/tmp/tmp.Vg6rJtV39T/Vampire---4.8_17444',cls_Set_OUn__upper1_0) ).

fof(f1437,plain,
    ( ~ c_lessequals(v_G_H,c_union(v_G_H,v_H_H,tc_Message_Omsg),tc_set(tc_Message_Omsg))
    | spl1_2 ),
    inference(resolution,[],[f1426,f1372]) ).

fof(f1372,axiom,
    ! [X55,X20] :
      ( c_lessequals(c_Message_Oanalz(X20),c_Message_Oanalz(X55),tc_set(tc_Message_Omsg))
      | ~ c_lessequals(X20,X55,tc_set(tc_Message_Omsg)) ),
    file('/export/starexec/sandbox/tmp/tmp.Vg6rJtV39T/Vampire---4.8_17444',cls_Message_Oanalz__mono_0) ).

fof(f1426,plain,
    ( ~ c_lessequals(c_Message_Oanalz(v_G_H),c_Message_Oanalz(c_union(v_G_H,v_H_H,tc_Message_Omsg)),tc_set(tc_Message_Omsg))
    | spl1_2 ),
    inference(resolution,[],[f1425,f1390]) ).

fof(f1390,axiom,
    c_lessequals(v_G,c_Message_Oanalz(v_G_H),tc_set(tc_Message_Omsg)),
    file('/export/starexec/sandbox/tmp/tmp.Vg6rJtV39T/Vampire---4.8_17444',cls_conjecture_0) ).

fof(f1425,plain,
    ( ! [X0] :
        ( ~ c_lessequals(v_G,X0,tc_set(tc_Message_Omsg))
        | ~ c_lessequals(X0,c_Message_Oanalz(c_union(v_G_H,v_H_H,tc_Message_Omsg)),tc_set(tc_Message_Omsg)) )
    | spl1_2 ),
    inference(resolution,[],[f1406,f1389]) ).

fof(f1389,axiom,
    ! [X1,X12,X32,X13] :
      ( c_lessequals(X12,X32,tc_set(X1))
      | ~ c_lessequals(X12,X13,tc_set(X1))
      | ~ c_lessequals(X13,X32,tc_set(X1)) ),
    file('/export/starexec/sandbox/tmp/tmp.Vg6rJtV39T/Vampire---4.8_17444',cls_Set_Osubset__trans_0) ).

fof(f1406,plain,
    ( ~ c_lessequals(v_G,c_Message_Oanalz(c_union(v_G_H,v_H_H,tc_Message_Omsg)),tc_set(tc_Message_Omsg))
    | spl1_2 ),
    inference(avatar_component_clause,[],[f1404]) ).

fof(f1404,plain,
    ( spl1_2
  <=> c_lessequals(v_G,c_Message_Oanalz(c_union(v_G_H,v_H_H,tc_Message_Omsg)),tc_set(tc_Message_Omsg)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_2])]) ).

fof(f1423,plain,
    spl1_1,
    inference(avatar_contradiction_clause,[],[f1422]) ).

fof(f1422,plain,
    ( $false
    | spl1_1 ),
    inference(subsumption_resolution,[],[f1420,f1388]) ).

fof(f1388,axiom,
    ! [X1,X12,X13] : c_lessequals(X13,c_union(X12,X13,X1),tc_set(X1)),
    file('/export/starexec/sandbox/tmp/tmp.Vg6rJtV39T/Vampire---4.8_17444',cls_Set_OUn__upper2_0) ).

fof(f1420,plain,
    ( ~ c_lessequals(v_H_H,c_union(v_G_H,v_H_H,tc_Message_Omsg),tc_set(tc_Message_Omsg))
    | spl1_1 ),
    inference(resolution,[],[f1411,f1372]) ).

fof(f1411,plain,
    ( ~ c_lessequals(c_Message_Oanalz(v_H_H),c_Message_Oanalz(c_union(v_G_H,v_H_H,tc_Message_Omsg)),tc_set(tc_Message_Omsg))
    | spl1_1 ),
    inference(resolution,[],[f1410,f1391]) ).

fof(f1391,axiom,
    c_lessequals(v_H,c_Message_Oanalz(v_H_H),tc_set(tc_Message_Omsg)),
    file('/export/starexec/sandbox/tmp/tmp.Vg6rJtV39T/Vampire---4.8_17444',cls_conjecture_1) ).

fof(f1410,plain,
    ( ! [X0] :
        ( ~ c_lessequals(v_H,X0,tc_set(tc_Message_Omsg))
        | ~ c_lessequals(X0,c_Message_Oanalz(c_union(v_G_H,v_H_H,tc_Message_Omsg)),tc_set(tc_Message_Omsg)) )
    | spl1_1 ),
    inference(resolution,[],[f1402,f1389]) ).

fof(f1402,plain,
    ( ~ c_lessequals(v_H,c_Message_Oanalz(c_union(v_G_H,v_H_H,tc_Message_Omsg)),tc_set(tc_Message_Omsg))
    | spl1_1 ),
    inference(avatar_component_clause,[],[f1400]) ).

fof(f1400,plain,
    ( spl1_1
  <=> c_lessequals(v_H,c_Message_Oanalz(c_union(v_G_H,v_H_H,tc_Message_Omsg)),tc_set(tc_Message_Omsg)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_1])]) ).

fof(f1407,plain,
    ( ~ spl1_1
    | ~ spl1_2 ),
    inference(avatar_split_clause,[],[f1392,f1404,f1400]) ).

fof(f1392,axiom,
    ( ~ c_lessequals(v_G,c_Message_Oanalz(c_union(v_G_H,v_H_H,tc_Message_Omsg)),tc_set(tc_Message_Omsg))
    | ~ c_lessequals(v_H,c_Message_Oanalz(c_union(v_G_H,v_H_H,tc_Message_Omsg)),tc_set(tc_Message_Omsg)) ),
    file('/export/starexec/sandbox/tmp/tmp.Vg6rJtV39T/Vampire---4.8_17444',cls_conjecture_2) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem    : SWV242-1 : TPTP v8.1.2. Released v3.2.0.
% 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
% 0.14/0.36  % Computer : n007.cluster.edu
% 0.14/0.36  % Model    : x86_64 x86_64
% 0.14/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36  % Memory   : 8042.1875MB
% 0.14/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36  % CPULimit   : 300
% 0.14/0.36  % WCLimit    : 300
% 0.14/0.36  % DateTime   : Fri May  3 21:15:53 EDT 2024
% 0.14/0.36  % CPUTime    : 
% 0.14/0.36  This is a CNF_UNS_RFO_SEQ_NHN problem
% 0.14/0.37  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.Vg6rJtV39T/Vampire---4.8_17444
% 0.71/0.87  % (17693)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)
% 0.71/0.87  % (17694)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2995ds/78Mi)
% 0.71/0.87  % (17695)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)
% 0.71/0.87  % (17696)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)
% 0.71/0.87  % (17697)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)
% 0.71/0.87  % (17698)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)
% 0.71/0.87  % (17699)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)
% 0.71/0.87  % (17692)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)
% 0.71/0.87  % (17699)First to succeed.
% 0.71/0.87  % (17699)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-17682"
% 0.71/0.87  % (17699)Refutation found. Thanks to Tanya!
% 0.71/0.87  % SZS status Unsatisfiable for Vampire---4
% 0.71/0.87  % SZS output start Proof for Vampire---4
% See solution above
% 0.71/0.87  % (17699)------------------------------
% 0.71/0.87  % (17699)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.71/0.87  % (17699)Termination reason: Refutation
% 0.71/0.87  
% 0.71/0.87  % (17699)Memory used [KB]: 1775
% 0.71/0.87  % (17699)Time elapsed: 0.006 s
% 0.71/0.87  % (17699)Instructions burned: 7 (million)
% 0.71/0.87  % (17682)Success in time 0.502 s
% 0.71/0.88  % Vampire---4.8 exiting
%------------------------------------------------------------------------------