%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : SWV247-1 : TPTP v8.1.0. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -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 : Wed Aug 31 18:44:38 EDT 2022

% Result   : Unsatisfiable 0.19s 0.56s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :   14
% Syntax   : Number of formulae    :   42 (   6 unt;   0 def)
%            Number of atoms       :   87 (   0 equ)
%            Maximal formula atoms :    3 (   2 avg)
%            Number of connectives :   81 (  36   ~;  41   |;   0   &)
%                                         (   4 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   3 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    6 (   5 usr;   5 prp; 0-3 aty)
%            Number of functors    :   11 (  11 usr;   5 con; 0-3 aty)
%            Number of variables   :   23 (  23   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1452,plain,
    $false,
    inference(avatar_sat_refutation,[],[f1422,f1432,f1441,f1446,f1451]) ).

fof(f1451,plain,
    ( ~ spl0_1
    | ~ spl0_4 ),
    inference(avatar_contradiction_clause,[],[f1450]) ).

fof(f1450,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_4 ),
    inference(subsumption_resolution,[],[f1448,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/benchmark/theBenchmark.p',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/benchmark/theBenchmark.p',cls_conjecture_4) ).

fof(f1448,plain,
    ( c_in(v_X,c_Message_Oanalz(c_union(v_G,v_H,tc_Message_Omsg)),tc_Message_Omsg)
    | ~ spl0_1
    | ~ spl0_4 ),
    inference(resolution,[],[f1447,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(f1447,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_4 ),
    inference(resolution,[],[f1431,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/benchmark/theBenchmark.p',cls_Message_Oanalz_ODecrypt__dest_0) ).

fof(f1431,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_4 ),
    inference(avatar_component_clause,[],[f1429]) ).

fof(f1429,plain,
    ( spl0_4
  <=> 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_4])]) ).

fof(f1446,plain,
    ( ~ spl0_3
    | spl0_4 ),
    inference(avatar_contradiction_clause,[],[f1445]) ).

fof(f1445,plain,
    ( $false
    | ~ spl0_3
    | spl0_4 ),
    inference(subsumption_resolution,[],[f1444,f1436]) ).

fof(f1436,plain,
    ( c_in(c_Message_Omsg_OKey(c_Message_OinvKey(v_K)),v_G,tc_Message_Omsg)
    | ~ spl0_3 ),
    inference(resolution,[],[f1427,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/benchmark/theBenchmark.p',cls_Message_OKey__synth_0) ).

fof(f1427,plain,
    ( c_in(c_Message_Omsg_OKey(c_Message_OinvKey(v_K)),c_Message_Osynth(v_G),tc_Message_Omsg)
    | ~ spl0_3 ),
    inference(avatar_component_clause,[],[f1425]) ).

fof(f1425,plain,
    ( spl0_3
  <=> 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_3])]) ).

fof(f1444,plain,
    ( ~ c_in(c_Message_Omsg_OKey(c_Message_OinvKey(v_K)),v_G,tc_Message_Omsg)
    | spl0_4 ),
    inference(resolution,[],[f1442,f1327]) ).

fof(f1442,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_4 ),
    inference(resolution,[],[f1430,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/benchmark/theBenchmark.p',cls_Message_Oanalz_OInj_0) ).

fof(f1430,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_4 ),
    inference(avatar_component_clause,[],[f1429]) ).

fof(f1441,plain,
    ( spl0_1
    | ~ spl0_2 ),
    inference(avatar_contradiction_clause,[],[f1440]) ).

fof(f1440,plain,
    ( $false
    | spl0_1
    | ~ spl0_2 ),
    inference(subsumption_resolution,[],[f1439,f1435]) ).

fof(f1435,plain,
    ( c_in(c_Message_Omsg_OCrypt(v_K,v_X),v_G,tc_Message_Omsg)
    | ~ spl0_2 ),
    inference(subsumption_resolution,[],[f1434,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/benchmark/theBenchmark.p',cls_Set_OUnCI_0) ).

fof(f1434,plain,
    ( c_in(c_Message_Omsg_OCrypt(v_K,v_X),v_G,tc_Message_Omsg)
    | c_in(v_X,c_Message_Osynth(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(c_Message_Omsg_OCrypt(X54,X53),X55,tc_Message_Omsg)
      | c_in(X53,c_Message_Osynth(X55),tc_Message_Omsg) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',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(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(f1439,plain,
    ( ~ c_in(c_Message_Omsg_OCrypt(v_K,v_X),v_G,tc_Message_Omsg)
    | spl0_1 ),
    inference(resolution,[],[f1437,f1327]) ).

fof(f1437,plain,
    ( ~ c_in(c_Message_Omsg_OCrypt(v_K,v_X),c_union(v_G,v_H,tc_Message_Omsg),tc_Message_Omsg)
    | spl0_1 ),
    inference(resolution,[],[f1416,f1377]) ).

fof(f1416,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(f1432,plain,
    ( spl0_3
    | spl0_4 ),
    inference(avatar_split_clause,[],[f1423,f1429,f1425]) ).

fof(f1423,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)
    | c_in(c_Message_Omsg_OKey(c_Message_OinvKey(v_K)),c_Message_Osynth(v_G),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/benchmark/theBenchmark.p',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/benchmark/theBenchmark.p',cls_conjecture_3) ).

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/benchmark/theBenchmark.p',cls_conjecture_1) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : SWV247-1 : TPTP v8.1.0. Released v3.2.0.
% 0.07/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.12/0.33  % Computer : n018.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
% 0.12/0.34  % CPULimit   : 300
% 0.12/0.34  % WCLimit    : 300
% 0.12/0.34  % DateTime   : Tue Aug 30 19:12:40 EDT 2022
% 0.12/0.34  % CPUTime    : 
% 0.19/0.53  % (5369)fmb+10_1:1_fmbes=contour:fmbsr=2.0:fmbsso=input_usage:i=6:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.19/0.53  % (5366)lrs+10_1:1_drc=off:sp=reverse_frequency:spb=goal:to=lpo:i=5:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/5Mi)
% 0.19/0.53  % (5377)lrs+1011_1:1_aac=none:bsr=unit_only:ep=R:sac=on:sos=all:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.19/0.54  % (5361)lrs+1010_1:4_amm=off:bce=on:sd=1:sos=on:ss=included:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.54  % (5354)lrs+10_1:1_kws=precedence:lwlo=on:tgt=ground:i=99966:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99966Mi)
% 0.19/0.54  % (5376)ott+21_1:1_erd=off:s2a=on:sac=on:sd=1:sgt=64:sos=on:ss=included:st=3.0:to=lpo:urr=on:i=97:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/97Mi)
% 0.19/0.54  % (5364)lrs+1004_1:734_av=off:awrs=converge:awrsf=70:br=off:ep=RSTC:erd=off:gs=on:nwc=3.0:s2a=on:s2agt=16:sp=occurrence:updr=off:urr=on:i=6:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.19/0.54  % (5357)lrs+10_1:1_bd=off:drc=off:lcm=reverse:nwc=5.0:sd=1:sgt=16:spb=goal_then_units:ss=axioms:to=lpo:i=43:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/43Mi)
% 0.19/0.54  % (5368)dis+1011_3:29_av=off:awrs=decay:awrsf=32:bce=on:drc=off:fde=unused:gsp=on:irw=on:nwc=2.0:spb=goal_then_units:updr=off:urr=ec_only:i=29:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/29Mi)
% 0.19/0.55  % (5356)lrs+10_1:16_awrs=converge:awrsf=40:br=off:ep=RSTC:flr=on:gsp=on:nwc=3.0:sos=on:urr=on:i=4:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/4Mi)
% 0.19/0.55  % (5364)Instruction limit reached!
% 0.19/0.55  % (5364)------------------------------
% 0.19/0.55  % (5364)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.55  % (5361)First to succeed.
% 0.19/0.55  % (5372)lrs+1003_1:1024_add=large:afr=on:cond=fast:fsr=off:gs=on:sos=on:sp=reverse_arity:i=28:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/28Mi)
% 0.19/0.55  % (5364)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.55  % (5364)Termination reason: Unknown
% 0.19/0.55  % (5364)Termination phase: Property scanning
% 0.19/0.55  % (5356)Instruction limit reached!
% 0.19/0.55  % (5356)------------------------------
% 0.19/0.55  % (5356)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.55  % (5356)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.55  % (5356)Termination reason: Unknown
% 0.19/0.55  % (5356)Termination phase: Equality proxy
% 0.19/0.55  
% 0.19/0.55  % (5356)Memory used [KB]: 2430
% 0.19/0.55  % (5356)Time elapsed: 0.004 s
% 0.19/0.55  % (5356)Instructions burned: 6 (million)
% 0.19/0.55  % (5356)------------------------------
% 0.19/0.55  % (5356)------------------------------
% 0.19/0.55  
% 0.19/0.55  % (5364)Memory used [KB]: 2302
% 0.19/0.55  % (5364)Time elapsed: 0.007 s
% 0.19/0.55  % (5364)Instructions burned: 7 (million)
% 0.19/0.55  % (5369)Instruction limit reached!
% 0.19/0.55  % (5369)------------------------------
% 0.19/0.55  % (5369)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.55  % (5364)------------------------------
% 0.19/0.55  % (5364)------------------------------
% 0.19/0.55  % (5380)lrs+3_8:1_anc=none:erd=off:fsd=on:s2a=on:s2agt=16:sgt=16:sos=on:sp=frequency:ss=included:i=71:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/71Mi)
% 0.19/0.55  % (5358)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=34:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/34Mi)
% 0.19/0.55  % (5355)dis+21_1:1_av=off:fd=off:lcm=predicate:sos=on:spb=goal:urr=ec_only:i=42:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/42Mi)
% 0.19/0.55  % (5359)dis+1011_1:16_fsr=off:nwc=2.0:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 0.19/0.56  % (5369)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.56  % (5369)Termination reason: Unknown
% 0.19/0.56  % (5369)Termination phase: Finite model building preprocessing
% 0.19/0.56  
% 0.19/0.56  % (5369)Memory used [KB]: 2558
% 0.19/0.56  % (5369)Time elapsed: 0.007 s
% 0.19/0.56  % (5369)Instructions burned: 7 (million)
% 0.19/0.56  % (5369)------------------------------
% 0.19/0.56  % (5369)------------------------------
% 0.19/0.56  % (5381)lrs+10_1:1_av=off:sd=2:sos=on:sp=reverse_arity:ss=axioms:to=lpo:i=73:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/73Mi)
% 0.19/0.56  % (5366)Instruction limit reached!
% 0.19/0.56  % (5366)------------------------------
% 0.19/0.56  % (5366)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.56  % (5366)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.56  % (5366)Termination reason: Unknown
% 0.19/0.56  % (5366)Termination phase: Saturation
% 0.19/0.56  
% 0.19/0.56  % (5366)Memory used [KB]: 7036
% 0.19/0.56  % (5366)Time elapsed: 0.006 s
% 0.19/0.56  % (5366)Instructions burned: 6 (million)
% 0.19/0.56  % (5366)------------------------------
% 0.19/0.56  % (5366)------------------------------
% 0.19/0.56  % (5360)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/49Mi)
% 0.19/0.56  % (5367)lrs+30_1:12_av=off:bs=unit_only:fsd=on:gs=on:lwlo=on:newcnf=on:slsq=on:slsqr=1,2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.19/0.56  % (5361)Refutation found. Thanks to Tanya!
% 0.19/0.56  % SZS status Unsatisfiable for theBenchmark
% 0.19/0.56  % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.56  % (5361)------------------------------
% 0.19/0.56  % (5361)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.56  % (5361)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.56  % (5361)Termination reason: Refutation
% 0.19/0.56  
% 0.19/0.56  % (5361)Memory used [KB]: 6908
% 0.19/0.56  % (5361)Time elapsed: 0.115 s
% 0.19/0.56  % (5361)Instructions burned: 8 (million)
% 0.19/0.56  % (5361)------------------------------
% 0.19/0.56  % (5361)------------------------------
% 0.19/0.56  % (5353)Success in time 0.212 s
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