TSTP Solution File: SWV247-1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SWV247-1 : 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 : n006.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 10:28:34 EDT 2024

% Result   : Unsatisfiable 0.61s 0.77s
% Output   : Refutation 0.61s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :   15
% Syntax   : Number of formulae    :   46 (   6 unt;   0 def)
%            Number of atoms       :   98 (   0 equ)
%            Maximal formula atoms :    3 (   2 avg)
%            Number of connectives :   97 (  45   ~;  47   |;   0   &)
%                                         (   5 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   3 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    7 (   6 usr;   6 prp; 0-3 aty)
%            Number of functors    :   11 (  11 usr;   5 con; 0-3 aty)
%            Number of variables   :   26 (  26   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1471,plain,
    $false,
    inference(avatar_sat_refutation,[],[f1422,f1435,f1445,f1457,f1463,f1470]) ).

fof(f1470,plain,
    ( ~ spl0_1
    | ~ spl0_5 ),
    inference(avatar_contradiction_clause,[],[f1469]) ).

fof(f1469,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_5 ),
    inference(subsumption_resolution,[],[f1467,f1408]) ).

fof(f1408,plain,
    ~ c_in(v_X,c_Message_Oanalz(c_union(v_G,v_H,tc_Message_Omsg)),tc_Message_Omsg),
    inference(resolution,[],[f1405,f1327]) ).

fof(f1327,axiom,
    ! [X1,X4,X12,X13] :
      ( c_in(X4,c_union(X12,X13,X1),X1)
      | ~ c_in(X4,X12,X1) ),
    file('/export/starexec/sandbox/tmp/tmp.FZlfHx3P7A/Vampire---4.8_28383',cls_Set_OUnCI_1) ).

fof(f1405,axiom,
    ~ c_in(v_X,c_union(c_Message_Oanalz(c_union(v_G,v_H,tc_Message_Omsg)),c_Message_Osynth(v_G),tc_Message_Omsg),tc_Message_Omsg),
    file('/export/starexec/sandbox/tmp/tmp.FZlfHx3P7A/Vampire---4.8_28383',cls_conjecture_4) ).

fof(f1467,plain,
    ( c_in(v_X,c_Message_Oanalz(c_union(v_G,v_H,tc_Message_Omsg)),tc_Message_Omsg)
    | ~ spl0_1
    | ~ spl0_5 ),
    inference(resolution,[],[f1466,f1417]) ).

fof(f1417,plain,
    ( c_in(c_Message_Omsg_OCrypt(v_K,v_X),c_Message_Oanalz(c_union(v_G,v_H,tc_Message_Omsg)),tc_Message_Omsg)
    | ~ spl0_1 ),
    inference(avatar_component_clause,[],[f1415]) ).

fof(f1415,plain,
    ( spl0_1
  <=> c_in(c_Message_Omsg_OCrypt(v_K,v_X),c_Message_Oanalz(c_union(v_G,v_H,tc_Message_Omsg)),tc_Message_Omsg) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

fof(f1466,plain,
    ( ! [X0] :
        ( ~ c_in(c_Message_Omsg_OCrypt(v_K,X0),c_Message_Oanalz(c_union(v_G,v_H,tc_Message_Omsg)),tc_Message_Omsg)
        | c_in(X0,c_Message_Oanalz(c_union(v_G,v_H,tc_Message_Omsg)),tc_Message_Omsg) )
    | ~ spl0_5 ),
    inference(resolution,[],[f1440,f1376]) ).

fof(f1376,axiom,
    ! [X54,X55,X53] :
      ( ~ c_in(c_Message_Omsg_OKey(c_Message_OinvKey(X54)),c_Message_Oanalz(X55),tc_Message_Omsg)
      | c_in(X53,c_Message_Oanalz(X55),tc_Message_Omsg)
      | ~ c_in(c_Message_Omsg_OCrypt(X54,X53),c_Message_Oanalz(X55),tc_Message_Omsg) ),
    file('/export/starexec/sandbox/tmp/tmp.FZlfHx3P7A/Vampire---4.8_28383',cls_Message_Oanalz_ODecrypt__dest_0) ).

fof(f1440,plain,
    ( c_in(c_Message_Omsg_OKey(c_Message_OinvKey(v_K)),c_Message_Oanalz(c_union(v_G,v_H,tc_Message_Omsg)),tc_Message_Omsg)
    | ~ spl0_5 ),
    inference(avatar_component_clause,[],[f1438]) ).

fof(f1438,plain,
    ( spl0_5
  <=> c_in(c_Message_Omsg_OKey(c_Message_OinvKey(v_K)),c_Message_Oanalz(c_union(v_G,v_H,tc_Message_Omsg)),tc_Message_Omsg) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).

fof(f1463,plain,
    ( spl0_5
    | ~ spl0_6 ),
    inference(avatar_contradiction_clause,[],[f1462]) ).

fof(f1462,plain,
    ( $false
    | spl0_5
    | ~ spl0_6 ),
    inference(subsumption_resolution,[],[f1461,f1458]) ).

fof(f1458,plain,
    ( c_in(c_Message_Omsg_OKey(c_Message_OinvKey(v_K)),v_G,tc_Message_Omsg)
    | ~ spl0_6 ),
    inference(resolution,[],[f1444,f1361]) ).

fof(f1361,axiom,
    ! [X54,X55] :
      ( ~ c_in(c_Message_Omsg_OKey(X54),c_Message_Osynth(X55),tc_Message_Omsg)
      | c_in(c_Message_Omsg_OKey(X54),X55,tc_Message_Omsg) ),
    file('/export/starexec/sandbox/tmp/tmp.FZlfHx3P7A/Vampire---4.8_28383',cls_Message_OKey__synth_0) ).

fof(f1444,plain,
    ( c_in(c_Message_Omsg_OKey(c_Message_OinvKey(v_K)),c_Message_Osynth(v_G),tc_Message_Omsg)
    | ~ spl0_6 ),
    inference(avatar_component_clause,[],[f1442]) ).

fof(f1442,plain,
    ( spl0_6
  <=> c_in(c_Message_Omsg_OKey(c_Message_OinvKey(v_K)),c_Message_Osynth(v_G),tc_Message_Omsg) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).

fof(f1461,plain,
    ( ~ c_in(c_Message_Omsg_OKey(c_Message_OinvKey(v_K)),v_G,tc_Message_Omsg)
    | spl0_5 ),
    inference(resolution,[],[f1459,f1327]) ).

fof(f1459,plain,
    ( ~ c_in(c_Message_Omsg_OKey(c_Message_OinvKey(v_K)),c_union(v_G,v_H,tc_Message_Omsg),tc_Message_Omsg)
    | spl0_5 ),
    inference(resolution,[],[f1439,f1377]) ).

fof(f1377,axiom,
    ! [X55,X53] :
      ( c_in(X53,c_Message_Oanalz(X55),tc_Message_Omsg)
      | ~ c_in(X53,X55,tc_Message_Omsg) ),
    file('/export/starexec/sandbox/tmp/tmp.FZlfHx3P7A/Vampire---4.8_28383',cls_Message_Oanalz_OInj_0) ).

fof(f1439,plain,
    ( ~ c_in(c_Message_Omsg_OKey(c_Message_OinvKey(v_K)),c_Message_Oanalz(c_union(v_G,v_H,tc_Message_Omsg)),tc_Message_Omsg)
    | spl0_5 ),
    inference(avatar_component_clause,[],[f1438]) ).

fof(f1457,plain,
    ( ~ spl0_4
    | ~ spl0_5 ),
    inference(avatar_contradiction_clause,[],[f1456]) ).

fof(f1456,plain,
    ( $false
    | ~ spl0_4
    | ~ spl0_5 ),
    inference(subsumption_resolution,[],[f1455,f1432]) ).

fof(f1432,plain,
    ( c_in(c_Message_Omsg_OCrypt(v_K,v_X),v_G,tc_Message_Omsg)
    | ~ spl0_4 ),
    inference(avatar_component_clause,[],[f1430]) ).

fof(f1430,plain,
    ( spl0_4
  <=> c_in(c_Message_Omsg_OCrypt(v_K,v_X),v_G,tc_Message_Omsg) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).

fof(f1455,plain,
    ( ~ c_in(c_Message_Omsg_OCrypt(v_K,v_X),v_G,tc_Message_Omsg)
    | ~ spl0_5 ),
    inference(resolution,[],[f1449,f1408]) ).

fof(f1449,plain,
    ( ! [X0] :
        ( c_in(X0,c_Message_Oanalz(c_union(v_G,v_H,tc_Message_Omsg)),tc_Message_Omsg)
        | ~ c_in(c_Message_Omsg_OCrypt(v_K,X0),v_G,tc_Message_Omsg) )
    | ~ spl0_5 ),
    inference(resolution,[],[f1447,f1327]) ).

fof(f1447,plain,
    ( ! [X0] :
        ( ~ c_in(c_Message_Omsg_OCrypt(v_K,X0),c_union(v_G,v_H,tc_Message_Omsg),tc_Message_Omsg)
        | c_in(X0,c_Message_Oanalz(c_union(v_G,v_H,tc_Message_Omsg)),tc_Message_Omsg) )
    | ~ spl0_5 ),
    inference(resolution,[],[f1446,f1377]) ).

fof(f1446,plain,
    ( ! [X0] :
        ( ~ c_in(c_Message_Omsg_OCrypt(v_K,X0),c_Message_Oanalz(c_union(v_G,v_H,tc_Message_Omsg)),tc_Message_Omsg)
        | c_in(X0,c_Message_Oanalz(c_union(v_G,v_H,tc_Message_Omsg)),tc_Message_Omsg) )
    | ~ spl0_5 ),
    inference(resolution,[],[f1440,f1376]) ).

fof(f1445,plain,
    ( spl0_5
    | spl0_6 ),
    inference(avatar_split_clause,[],[f1436,f1442,f1438]) ).

fof(f1436,plain,
    ( c_in(c_Message_Omsg_OKey(c_Message_OinvKey(v_K)),c_Message_Osynth(v_G),tc_Message_Omsg)
    | c_in(c_Message_Omsg_OKey(c_Message_OinvKey(v_K)),c_Message_Oanalz(c_union(v_G,v_H,tc_Message_Omsg)),tc_Message_Omsg) ),
    inference(resolution,[],[f1404,f1328]) ).

fof(f1328,axiom,
    ! [X1,X4,X12,X13] :
      ( ~ c_in(X4,c_union(X12,X13,X1),X1)
      | c_in(X4,X13,X1)
      | c_in(X4,X12,X1) ),
    file('/export/starexec/sandbox/tmp/tmp.FZlfHx3P7A/Vampire---4.8_28383',cls_Set_OUnE_0) ).

fof(f1404,axiom,
    c_in(c_Message_Omsg_OKey(c_Message_OinvKey(v_K)),c_union(c_Message_Oanalz(c_union(v_G,v_H,tc_Message_Omsg)),c_Message_Osynth(v_G),tc_Message_Omsg),tc_Message_Omsg),
    file('/export/starexec/sandbox/tmp/tmp.FZlfHx3P7A/Vampire---4.8_28383',cls_conjecture_3) ).

fof(f1435,plain,
    ( spl0_4
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f1434,f1419,f1430]) ).

fof(f1419,plain,
    ( spl0_2
  <=> c_in(c_Message_Omsg_OCrypt(v_K,v_X),c_Message_Osynth(v_G),tc_Message_Omsg) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

fof(f1434,plain,
    ( c_in(c_Message_Omsg_OCrypt(v_K,v_X),v_G,tc_Message_Omsg)
    | ~ spl0_2 ),
    inference(subsumption_resolution,[],[f1424,f1407]) ).

fof(f1407,plain,
    ~ c_in(v_X,c_Message_Osynth(v_G),tc_Message_Omsg),
    inference(resolution,[],[f1405,f1326]) ).

fof(f1326,axiom,
    ! [X1,X4,X12,X13] :
      ( c_in(X4,c_union(X12,X13,X1),X1)
      | ~ c_in(X4,X13,X1) ),
    file('/export/starexec/sandbox/tmp/tmp.FZlfHx3P7A/Vampire---4.8_28383',cls_Set_OUnCI_0) ).

fof(f1424,plain,
    ( c_in(v_X,c_Message_Osynth(v_G),tc_Message_Omsg)
    | c_in(c_Message_Omsg_OCrypt(v_K,v_X),v_G,tc_Message_Omsg)
    | ~ spl0_2 ),
    inference(resolution,[],[f1421,f1359]) ).

fof(f1359,axiom,
    ! [X54,X55,X53] :
      ( ~ c_in(c_Message_Omsg_OCrypt(X54,X53),c_Message_Osynth(X55),tc_Message_Omsg)
      | c_in(X53,c_Message_Osynth(X55),tc_Message_Omsg)
      | c_in(c_Message_Omsg_OCrypt(X54,X53),X55,tc_Message_Omsg) ),
    file('/export/starexec/sandbox/tmp/tmp.FZlfHx3P7A/Vampire---4.8_28383',cls_Message_OCrypt__synth_1) ).

fof(f1421,plain,
    ( c_in(c_Message_Omsg_OCrypt(v_K,v_X),c_Message_Osynth(v_G),tc_Message_Omsg)
    | ~ spl0_2 ),
    inference(avatar_component_clause,[],[f1419]) ).

fof(f1422,plain,
    ( spl0_1
    | spl0_2 ),
    inference(avatar_split_clause,[],[f1413,f1419,f1415]) ).

fof(f1413,plain,
    ( c_in(c_Message_Omsg_OCrypt(v_K,v_X),c_Message_Osynth(v_G),tc_Message_Omsg)
    | c_in(c_Message_Omsg_OCrypt(v_K,v_X),c_Message_Oanalz(c_union(v_G,v_H,tc_Message_Omsg)),tc_Message_Omsg) ),
    inference(resolution,[],[f1402,f1328]) ).

fof(f1402,axiom,
    c_in(c_Message_Omsg_OCrypt(v_K,v_X),c_union(c_Message_Oanalz(c_union(v_G,v_H,tc_Message_Omsg)),c_Message_Osynth(v_G),tc_Message_Omsg),tc_Message_Omsg),
    file('/export/starexec/sandbox/tmp/tmp.FZlfHx3P7A/Vampire---4.8_28383',cls_conjecture_1) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem    : SWV247-1 : TPTP v8.1.2. Released v3.2.0.
% 0.06/0.14  % 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
% 0.15/0.35  % Computer : n006.cluster.edu
% 0.15/0.35  % Model    : x86_64 x86_64
% 0.15/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35  % Memory   : 8042.1875MB
% 0.15/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35  % CPULimit   : 300
% 0.15/0.35  % WCLimit    : 300
% 0.15/0.35  % DateTime   : Fri May  3 20:54:23 EDT 2024
% 0.15/0.36  % CPUTime    : 
% 0.15/0.36  This is a CNF_UNS_RFO_SEQ_NHN 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.FZlfHx3P7A/Vampire---4.8_28383
% 0.61/0.76  % (28651)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)
% 0.61/0.76  % (28645)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)
% 0.61/0.76  % (28647)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.61/0.76  % (28646)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)
% 0.61/0.76  % (28648)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)
% 0.61/0.76  % (28649)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)
% 0.61/0.76  % (28650)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)
% 0.61/0.76  % (28652)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)
% 0.61/0.77  % (28650)First to succeed.
% 0.61/0.77  % (28650)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-28640"
% 0.61/0.77  % (28645)Also succeeded, but the first one will report.
% 0.61/0.77  % (28652)Also succeeded, but the first one will report.
% 0.61/0.77  % (28647)Also succeeded, but the first one will report.
% 0.61/0.77  % (28650)Refutation found. Thanks to Tanya!
% 0.61/0.77  % SZS status Unsatisfiable for Vampire---4
% 0.61/0.77  % SZS output start Proof for Vampire---4
% See solution above
% 0.61/0.77  % (28650)------------------------------
% 0.61/0.77  % (28650)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.77  % (28650)Termination reason: Refutation
% 0.61/0.77  
% 0.61/0.77  % (28650)Memory used [KB]: 1858
% 0.61/0.77  % (28650)Time elapsed: 0.008 s
% 0.61/0.77  % (28650)Instructions burned: 11 (million)
% 0.61/0.77  % (28640)Success in time 0.396 s
% 0.61/0.77  % Vampire---4.8 exiting
%------------------------------------------------------------------------------