TSTP Solution File: SWV233+1 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SWV233+1 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n017.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 10:47:24 EDT 2024
% Result : Theorem 0.16s 0.40s
% Output : Refutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 188
% Syntax : Number of formulae : 755 ( 59 unt; 0 def)
% Number of atoms : 3026 ( 177 equ)
% Maximal formula atoms : 11 ( 4 avg)
% Number of connectives : 4348 (2077 ~;2014 |; 73 &)
% ( 170 <=>; 14 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 6 avg)
% Maximal term depth : 10 ( 2 avg)
% Number of predicates : 174 ( 172 usr; 171 prp; 0-2 aty)
% Number of functors : 24 ( 24 usr; 9 con; 0-2 aty)
% Number of variables : 1147 (1147 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1769,plain,
$false,
inference(avatar_sat_refutation,[],[f92,f97,f102,f107,f111,f115,f119,f123,f127,f131,f135,f141,f145,f149,f153,f157,f161,f165,f169,f173,f179,f184,f188,f192,f196,f200,f207,f211,f218,f225,f229,f234,f242,f247,f251,f258,f264,f270,f274,f284,f289,f294,f299,f306,f312,f317,f323,f339,f356,f357,f358,f359,f360,f361,f362,f363,f364,f371,f398,f423,f429,f435,f440,f446,f452,f456,f457,f465,f471,f478,f484,f490,f494,f501,f505,f513,f517,f523,f530,f541,f562,f567,f579,f584,f597,f603,f604,f607,f608,f618,f622,f630,f634,f638,f639,f645,f654,f658,f662,f668,f677,f682,f701,f706,f714,f724,f732,f736,f761,f765,f769,f783,f788,f796,f798,f810,f823,f825,f826,f830,f845,f866,f870,f882,f886,f893,f906,f938,f939,f942,f943,f952,f959,f960,f965,f1007,f1014,f1018,f1019,f1021,f1054,f1063,f1067,f1072,f1079,f1083,f1084,f1101,f1166,f1167,f1177,f1200,f1213,f1244,f1249,f1271,f1304,f1343,f1371,f1416,f1455,f1498,f1504,f1538,f1547,f1569,f1576,f1581,f1585,f1599,f1608,f1637,f1642,f1648,f1654,f1655,f1657,f1676,f1682,f1686,f1692,f1698,f1707,f1713,f1717,f1721,f1732,f1739,f1744,f1752,f1761,f1766,f1768]) ).
fof(f1768,plain,
( ~ spl1_4
| ~ spl1_3
| ~ spl1_155
| ~ spl1_170 ),
inference(avatar_split_clause,[],[f1767,f1764,f1679,f99,f104]) ).
fof(f104,plain,
( spl1_4
<=> knows(inverse(k_a)) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_4])]) ).
fof(f99,plain,
( spl1_3
<=> knows(k_a) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_3])]) ).
fof(f1679,plain,
( spl1_155
<=> knows(kgen(k_a)) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_155])]) ).
fof(f1764,plain,
( spl1_170
<=> ! [X0] :
( ~ knows(X0)
| ~ knows(kgen(X0))
| ~ knows(inverse(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_170])]) ).
fof(f1767,plain,
( ~ knows(k_a)
| ~ knows(inverse(k_a))
| ~ spl1_155
| ~ spl1_170 ),
inference(resolution,[],[f1765,f1681]) ).
fof(f1681,plain,
( knows(kgen(k_a))
| ~ spl1_155 ),
inference(avatar_component_clause,[],[f1679]) ).
fof(f1765,plain,
( ! [X0] :
( ~ knows(kgen(X0))
| ~ knows(X0)
| ~ knows(inverse(X0)) )
| ~ spl1_170 ),
inference(avatar_component_clause,[],[f1764]) ).
fof(f1766,plain,
( spl1_1
| spl1_170
| ~ spl1_25
| ~ spl1_165 ),
inference(avatar_split_clause,[],[f1740,f1737,f194,f1764,f89]) ).
fof(f89,plain,
( spl1_1
<=> knows(secret) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_1])]) ).
fof(f194,plain,
( spl1_25
<=> ! [X0,X1] :
( knows(X0)
| ~ knows(X1)
| ~ knows(symmetric_encrypt(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_25])]) ).
fof(f1737,plain,
( spl1_165
<=> ! [X0] :
( knows(symmetric_encrypt(secret,kgen(X0)))
| ~ knows(X0)
| ~ knows(inverse(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_165])]) ).
fof(f1740,plain,
( ! [X0] :
( ~ knows(X0)
| ~ knows(inverse(X0))
| ~ knows(kgen(X0))
| knows(secret) )
| ~ spl1_25
| ~ spl1_165 ),
inference(resolution,[],[f1738,f195]) ).
fof(f195,plain,
( ! [X0,X1] :
( ~ knows(symmetric_encrypt(X0,X1))
| ~ knows(X1)
| knows(X0) )
| ~ spl1_25 ),
inference(avatar_component_clause,[],[f194]) ).
fof(f1738,plain,
( ! [X0] :
( knows(symmetric_encrypt(secret,kgen(X0)))
| ~ knows(X0)
| ~ knows(inverse(X0)) )
| ~ spl1_165 ),
inference(avatar_component_clause,[],[f1737]) ).
fof(f1761,plain,
( spl1_169
| ~ spl1_19
| ~ spl1_161 ),
inference(avatar_split_clause,[],[f1726,f1711,f167,f1759]) ).
fof(f1759,plain,
( spl1_169
<=> ! [X0,X3,X2,X1] :
( ~ sP0(inverse(X0),concatenate(X1,concatenate(n,X2)))
| knows(symmetric_encrypt(secret,X1))
| ~ sP0(inverse(k_ca),concatenate(s,concatenate(X0,X3))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_169])]) ).
fof(f167,plain,
( spl1_19
<=> ! [X0,X1] :
( knows(sign(X1,X0))
| ~ sP0(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_19])]) ).
fof(f1711,plain,
( spl1_161
<=> ! [X0,X3,X2,X1] :
( ~ sP0(inverse(X0),concatenate(X2,concatenate(n,X3)))
| ~ knows(sign(concatenate(s,concatenate(X0,X1)),inverse(k_ca)))
| knows(symmetric_encrypt(secret,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_161])]) ).
fof(f1726,plain,
( ! [X2,X3,X0,X1] :
( ~ sP0(inverse(X0),concatenate(X1,concatenate(n,X2)))
| knows(symmetric_encrypt(secret,X1))
| ~ sP0(inverse(k_ca),concatenate(s,concatenate(X0,X3))) )
| ~ spl1_19
| ~ spl1_161 ),
inference(resolution,[],[f1712,f168]) ).
fof(f168,plain,
( ! [X0,X1] :
( knows(sign(X1,X0))
| ~ sP0(X0,X1) )
| ~ spl1_19 ),
inference(avatar_component_clause,[],[f167]) ).
fof(f1712,plain,
( ! [X2,X3,X0,X1] :
( ~ knows(sign(concatenate(s,concatenate(X0,X1)),inverse(k_ca)))
| ~ sP0(inverse(X0),concatenate(X2,concatenate(n,X3)))
| knows(symmetric_encrypt(secret,X2)) )
| ~ spl1_161 ),
inference(avatar_component_clause,[],[f1711]) ).
fof(f1752,plain,
( spl1_167
| spl1_168
| ~ spl1_20
| ~ spl1_163 ),
inference(avatar_split_clause,[],[f1735,f1719,f171,f1750,f1747]) ).
fof(f1747,plain,
( spl1_167
<=> ! [X1] : ~ knows(concatenate(n,X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_167])]) ).
fof(f1750,plain,
( spl1_168
<=> ! [X0] :
( knows(symmetric_encrypt(secret,X0))
| ~ knows(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_168])]) ).
fof(f171,plain,
( spl1_20
<=> ! [X0,X1] :
( sP0(X1,X0)
| ~ knows(X1)
| ~ knows(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_20])]) ).
fof(f1719,plain,
( spl1_163
<=> ! [X0,X1] :
( knows(symmetric_encrypt(secret,X0))
| ~ sP0(concatenate(n,X1),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_163])]) ).
fof(f1735,plain,
( ! [X0,X1] :
( knows(symmetric_encrypt(secret,X0))
| ~ knows(concatenate(n,X1))
| ~ knows(X0) )
| ~ spl1_20
| ~ spl1_163 ),
inference(resolution,[],[f1720,f172]) ).
fof(f172,plain,
( ! [X0,X1] :
( sP0(X1,X0)
| ~ knows(X1)
| ~ knows(X0) )
| ~ spl1_20 ),
inference(avatar_component_clause,[],[f171]) ).
fof(f1720,plain,
( ! [X0,X1] :
( ~ sP0(concatenate(n,X1),X0)
| knows(symmetric_encrypt(secret,X0)) )
| ~ spl1_163 ),
inference(avatar_component_clause,[],[f1719]) ).
fof(f1744,plain,
( spl1_166
| ~ spl1_19
| ~ spl1_158 ),
inference(avatar_split_clause,[],[f1700,f1696,f167,f1742]) ).
fof(f1742,plain,
( spl1_166
<=> ! [X0,X1] :
( knows(symmetric_encrypt(secret,X0))
| ~ sP0(inverse(k_s),concatenate(X0,concatenate(n,X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_166])]) ).
fof(f1696,plain,
( spl1_158
<=> ! [X0,X1] :
( knows(symmetric_encrypt(secret,X0))
| ~ knows(sign(concatenate(X0,concatenate(n,X1)),inverse(k_s))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_158])]) ).
fof(f1700,plain,
( ! [X0,X1] :
( knows(symmetric_encrypt(secret,X0))
| ~ sP0(inverse(k_s),concatenate(X0,concatenate(n,X1))) )
| ~ spl1_19
| ~ spl1_158 ),
inference(resolution,[],[f1697,f168]) ).
fof(f1697,plain,
( ! [X0,X1] :
( ~ knows(sign(concatenate(X0,concatenate(n,X1)),inverse(k_s)))
| knows(symmetric_encrypt(secret,X0)) )
| ~ spl1_158 ),
inference(avatar_component_clause,[],[f1696]) ).
fof(f1739,plain,
( ~ spl1_30
| spl1_165
| ~ spl1_134
| ~ spl1_158 ),
inference(avatar_split_clause,[],[f1699,f1696,f1247,f1737,f222]) ).
fof(f222,plain,
( spl1_30
<=> knows(n) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_30])]) ).
fof(f1247,plain,
( spl1_134
<=> ! [X0,X1] :
( knows(sign(concatenate(kgen(X0),concatenate(X1,eol)),inverse(k_s)))
| ~ knows(X1)
| ~ knows(inverse(X0))
| ~ knows(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_134])]) ).
fof(f1699,plain,
( ! [X0] :
( knows(symmetric_encrypt(secret,kgen(X0)))
| ~ knows(n)
| ~ knows(inverse(X0))
| ~ knows(X0) )
| ~ spl1_134
| ~ spl1_158 ),
inference(resolution,[],[f1697,f1248]) ).
fof(f1248,plain,
( ! [X0,X1] :
( knows(sign(concatenate(kgen(X0),concatenate(X1,eol)),inverse(k_s)))
| ~ knows(X1)
| ~ knows(inverse(X0))
| ~ knows(X0) )
| ~ spl1_134 ),
inference(avatar_component_clause,[],[f1247]) ).
fof(f1732,plain,
( spl1_164
| ~ spl1_19
| ~ spl1_160 ),
inference(avatar_split_clause,[],[f1723,f1705,f167,f1730]) ).
fof(f1730,plain,
( spl1_164
<=> ! [X0] :
( ~ knows(inverse(head(X0)))
| ~ sP0(inverse(k_ca),concatenate(s,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_164])]) ).
fof(f1705,plain,
( spl1_160
<=> ! [X0] :
( ~ knows(sign(concatenate(s,X0),inverse(k_ca)))
| ~ knows(inverse(head(X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_160])]) ).
fof(f1723,plain,
( ! [X0] :
( ~ knows(inverse(head(X0)))
| ~ sP0(inverse(k_ca),concatenate(s,X0)) )
| ~ spl1_19
| ~ spl1_160 ),
inference(resolution,[],[f1706,f168]) ).
fof(f1706,plain,
( ! [X0] :
( ~ knows(sign(concatenate(s,X0),inverse(k_ca)))
| ~ knows(inverse(head(X0))) )
| ~ spl1_160 ),
inference(avatar_component_clause,[],[f1705]) ).
fof(f1721,plain,
( spl1_163
| ~ spl1_13
| ~ spl1_159 ),
inference(avatar_split_clause,[],[f1708,f1702,f143,f1719]) ).
fof(f143,plain,
( spl1_13
<=> ! [X0,X1] :
( knows(concatenate(X1,X0))
| ~ sP0(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_13])]) ).
fof(f1702,plain,
( spl1_159
<=> ! [X2,X1] :
( knows(symmetric_encrypt(secret,X1))
| ~ knows(concatenate(X1,concatenate(n,X2))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_159])]) ).
fof(f1708,plain,
( ! [X0,X1] :
( knows(symmetric_encrypt(secret,X0))
| ~ sP0(concatenate(n,X1),X0) )
| ~ spl1_13
| ~ spl1_159 ),
inference(resolution,[],[f1703,f144]) ).
fof(f144,plain,
( ! [X0,X1] :
( knows(concatenate(X1,X0))
| ~ sP0(X0,X1) )
| ~ spl1_13 ),
inference(avatar_component_clause,[],[f143]) ).
fof(f1703,plain,
( ! [X2,X1] :
( ~ knows(concatenate(X1,concatenate(n,X2)))
| knows(symmetric_encrypt(secret,X1)) )
| ~ spl1_159 ),
inference(avatar_component_clause,[],[f1702]) ).
fof(f1717,plain,
( spl1_162
| ~ spl1_19
| ~ spl1_157 ),
inference(avatar_split_clause,[],[f1694,f1690,f167,f1715]) ).
fof(f1715,plain,
( spl1_162
<=> ! [X0,X3,X2,X1] :
( knows(symmetric_encrypt(secret,X0))
| ~ knows(sign(concatenate(X0,concatenate(n,X1)),inverse(X2)))
| ~ sP0(inverse(k_ca),concatenate(s,concatenate(X2,X3))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_162])]) ).
fof(f1690,plain,
( spl1_157
<=> ! [X0,X3,X2,X1] :
( ~ knows(sign(concatenate(X2,concatenate(n,X3)),inverse(X0)))
| knows(symmetric_encrypt(secret,X2))
| ~ knows(sign(concatenate(s,concatenate(X0,X1)),inverse(k_ca))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_157])]) ).
fof(f1694,plain,
( ! [X2,X3,X0,X1] :
( knows(symmetric_encrypt(secret,X0))
| ~ knows(sign(concatenate(X0,concatenate(n,X1)),inverse(X2)))
| ~ sP0(inverse(k_ca),concatenate(s,concatenate(X2,X3))) )
| ~ spl1_19
| ~ spl1_157 ),
inference(resolution,[],[f1691,f168]) ).
fof(f1691,plain,
( ! [X2,X3,X0,X1] :
( ~ knows(sign(concatenate(s,concatenate(X0,X1)),inverse(k_ca)))
| knows(symmetric_encrypt(secret,X2))
| ~ knows(sign(concatenate(X2,concatenate(n,X3)),inverse(X0))) )
| ~ spl1_157 ),
inference(avatar_component_clause,[],[f1690]) ).
fof(f1713,plain,
( spl1_161
| ~ spl1_8
| ~ spl1_156 ),
inference(avatar_split_clause,[],[f1688,f1684,f121,f1711]) ).
fof(f121,plain,
( spl1_8
<=> ! [X0,X1] : head(concatenate(X0,X1)) = X0 ),
introduced(avatar_definition,[new_symbols(naming,[spl1_8])]) ).
fof(f1684,plain,
( spl1_156
<=> ! [X2,X0,X1] :
( knows(symmetric_encrypt(secret,X0))
| ~ knows(sign(concatenate(s,X1),inverse(k_ca)))
| ~ sP0(inverse(head(X1)),concatenate(X0,concatenate(n,X2))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_156])]) ).
fof(f1688,plain,
( ! [X2,X3,X0,X1] :
( ~ sP0(inverse(X0),concatenate(X2,concatenate(n,X3)))
| ~ knows(sign(concatenate(s,concatenate(X0,X1)),inverse(k_ca)))
| knows(symmetric_encrypt(secret,X2)) )
| ~ spl1_8
| ~ spl1_156 ),
inference(superposition,[],[f1685,f122]) ).
fof(f122,plain,
( ! [X0,X1] : head(concatenate(X0,X1)) = X0
| ~ spl1_8 ),
inference(avatar_component_clause,[],[f121]) ).
fof(f1685,plain,
( ! [X2,X0,X1] :
( ~ sP0(inverse(head(X1)),concatenate(X0,concatenate(n,X2)))
| ~ knows(sign(concatenate(s,X1),inverse(k_ca)))
| knows(symmetric_encrypt(secret,X0)) )
| ~ spl1_156 ),
inference(avatar_component_clause,[],[f1684]) ).
fof(f1707,plain,
( spl1_159
| spl1_160
| ~ spl1_20
| ~ spl1_156 ),
inference(avatar_split_clause,[],[f1687,f1684,f171,f1705,f1702]) ).
fof(f1687,plain,
( ! [X2,X0,X1] :
( ~ knows(sign(concatenate(s,X0),inverse(k_ca)))
| knows(symmetric_encrypt(secret,X1))
| ~ knows(inverse(head(X0)))
| ~ knows(concatenate(X1,concatenate(n,X2))) )
| ~ spl1_20
| ~ spl1_156 ),
inference(resolution,[],[f1685,f172]) ).
fof(f1698,plain,
( spl1_158
| ~ spl1_48
| ~ spl1_157 ),
inference(avatar_split_clause,[],[f1693,f1690,f330,f1696]) ).
fof(f330,plain,
( spl1_48
<=> knows(sign(concatenate(s,concatenate(k_s,eol)),inverse(k_ca))) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_48])]) ).
fof(f1693,plain,
( ! [X0,X1] :
( knows(symmetric_encrypt(secret,X0))
| ~ knows(sign(concatenate(X0,concatenate(n,X1)),inverse(k_s))) )
| ~ spl1_48
| ~ spl1_157 ),
inference(resolution,[],[f1691,f332]) ).
fof(f332,plain,
( knows(sign(concatenate(s,concatenate(k_s,eol)),inverse(k_ca)))
| ~ spl1_48 ),
inference(avatar_component_clause,[],[f330]) ).
fof(f1692,plain,
( spl1_157
| ~ spl1_8
| ~ spl1_151 ),
inference(avatar_split_clause,[],[f1644,f1640,f121,f1690]) ).
fof(f1640,plain,
( spl1_151
<=> ! [X2,X0,X1] :
( knows(symmetric_encrypt(secret,X0))
| ~ knows(sign(concatenate(X0,concatenate(n,X2)),inverse(head(X1))))
| ~ knows(sign(concatenate(s,X1),inverse(k_ca))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_151])]) ).
fof(f1644,plain,
( ! [X2,X3,X0,X1] :
( ~ knows(sign(concatenate(X2,concatenate(n,X3)),inverse(X0)))
| knows(symmetric_encrypt(secret,X2))
| ~ knows(sign(concatenate(s,concatenate(X0,X1)),inverse(k_ca))) )
| ~ spl1_8
| ~ spl1_151 ),
inference(superposition,[],[f1641,f122]) ).
fof(f1641,plain,
( ! [X2,X0,X1] :
( ~ knows(sign(concatenate(X0,concatenate(n,X2)),inverse(head(X1))))
| knows(symmetric_encrypt(secret,X0))
| ~ knows(sign(concatenate(s,X1),inverse(k_ca))) )
| ~ spl1_151 ),
inference(avatar_component_clause,[],[f1640]) ).
fof(f1686,plain,
( spl1_156
| ~ spl1_19
| ~ spl1_151 ),
inference(avatar_split_clause,[],[f1643,f1640,f167,f1684]) ).
fof(f1643,plain,
( ! [X2,X0,X1] :
( knows(symmetric_encrypt(secret,X0))
| ~ knows(sign(concatenate(s,X1),inverse(k_ca)))
| ~ sP0(inverse(head(X1)),concatenate(X0,concatenate(n,X2))) )
| ~ spl1_19
| ~ spl1_151 ),
inference(resolution,[],[f1641,f168]) ).
fof(f1682,plain,
( ~ spl1_3
| spl1_155
| ~ spl1_4
| ~ spl1_154 ),
inference(avatar_split_clause,[],[f1677,f1674,f104,f1679,f99]) ).
fof(f1674,plain,
( spl1_154
<=> ! [X0] :
( ~ knows(inverse(X0))
| knows(kgen(X0))
| ~ knows(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_154])]) ).
fof(f1677,plain,
( knows(kgen(k_a))
| ~ knows(k_a)
| ~ spl1_4
| ~ spl1_154 ),
inference(resolution,[],[f1675,f106]) ).
fof(f106,plain,
( knows(inverse(k_a))
| ~ spl1_4 ),
inference(avatar_component_clause,[],[f104]) ).
fof(f1675,plain,
( ! [X0] :
( ~ knows(inverse(X0))
| knows(kgen(X0))
| ~ knows(X0) )
| ~ spl1_154 ),
inference(avatar_component_clause,[],[f1674]) ).
fof(f1676,plain,
( spl1_49
| spl1_154
| ~ spl1_10
| ~ spl1_140 ),
inference(avatar_split_clause,[],[f1597,f1453,f129,f1674,f334]) ).
fof(f334,plain,
( spl1_49
<=> ! [X1] : ~ knows(X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_49])]) ).
fof(f129,plain,
( spl1_10
<=> ! [X0,X1] :
( knows(X0)
| ~ knows(concatenate(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_10])]) ).
fof(f1453,plain,
( spl1_140
<=> ! [X0,X1] :
( ~ knows(X0)
| ~ knows(inverse(X1))
| knows(concatenate(kgen(X1),concatenate(X0,eol)))
| ~ knows(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_140])]) ).
fof(f1597,plain,
( ! [X0,X1] :
( ~ knows(inverse(X0))
| ~ knows(X1)
| ~ knows(X0)
| knows(kgen(X0)) )
| ~ spl1_10
| ~ spl1_140 ),
inference(resolution,[],[f1454,f130]) ).
fof(f130,plain,
( ! [X0,X1] :
( ~ knows(concatenate(X0,X1))
| knows(X0) )
| ~ spl1_10 ),
inference(avatar_component_clause,[],[f129]) ).
fof(f1454,plain,
( ! [X0,X1] :
( knows(concatenate(kgen(X1),concatenate(X0,eol)))
| ~ knows(inverse(X1))
| ~ knows(X0)
| ~ knows(X1) )
| ~ spl1_140 ),
inference(avatar_component_clause,[],[f1453]) ).
fof(f1657,plain,
( ~ spl1_3
| ~ spl1_4
| ~ spl1_142 ),
inference(avatar_split_clause,[],[f1656,f1502,f104,f99]) ).
fof(f1502,plain,
( spl1_142
<=> ! [X0] :
( ~ knows(X0)
| ~ knows(inverse(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_142])]) ).
fof(f1656,plain,
( ~ knows(k_a)
| ~ spl1_4
| ~ spl1_142 ),
inference(resolution,[],[f1503,f106]) ).
fof(f1503,plain,
( ! [X0] :
( ~ knows(inverse(X0))
| ~ knows(X0) )
| ~ spl1_142 ),
inference(avatar_component_clause,[],[f1502]) ).
fof(f1655,plain,
( spl1_49
| spl1_142
| ~ spl1_20
| ~ spl1_147 ),
inference(avatar_split_clause,[],[f1626,f1583,f171,f1502,f334]) ).
fof(f1583,plain,
( spl1_147
<=> ! [X0,X1] :
( ~ knows(X0)
| ~ knows(inverse(X0))
| ~ sP0(X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_147])]) ).
fof(f1626,plain,
( ! [X0,X1] :
( ~ knows(inverse(X0))
| ~ knows(X0)
| ~ knows(X1) )
| ~ spl1_20
| ~ spl1_147 ),
inference(duplicate_literal_removal,[],[f1624]) ).
fof(f1624,plain,
( ! [X0,X1] :
( ~ knows(inverse(X0))
| ~ knows(X0)
| ~ knows(X1)
| ~ knows(X0) )
| ~ spl1_20
| ~ spl1_147 ),
inference(resolution,[],[f1584,f172]) ).
fof(f1584,plain,
( ! [X0,X1] :
( ~ sP0(X1,X0)
| ~ knows(inverse(X0))
| ~ knows(X0) )
| ~ spl1_147 ),
inference(avatar_component_clause,[],[f1583]) ).
fof(f1654,plain,
( spl1_1
| ~ spl1_153
| ~ spl1_25
| ~ spl1_149 ),
inference(avatar_split_clause,[],[f1638,f1631,f194,f1651,f89]) ).
fof(f1651,plain,
( spl1_153
<=> knows(kgen(k_c)) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_153])]) ).
fof(f1631,plain,
( spl1_149
<=> knows(symmetric_encrypt(secret,kgen(k_c))) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_149])]) ).
fof(f1638,plain,
( ~ knows(kgen(k_c))
| knows(secret)
| ~ spl1_25
| ~ spl1_149 ),
inference(resolution,[],[f1633,f195]) ).
fof(f1633,plain,
( knows(symmetric_encrypt(secret,kgen(k_c)))
| ~ spl1_149 ),
inference(avatar_component_clause,[],[f1631]) ).
fof(f1648,plain,
( spl1_152
| ~ spl1_8
| ~ spl1_141 ),
inference(avatar_split_clause,[],[f1500,f1496,f121,f1646]) ).
fof(f1646,plain,
( spl1_152
<=> ! [X0,X3,X2,X1] :
( ~ sP0(k_c,sign(concatenate(X2,concatenate(n,X3)),inverse(X0)))
| knows(symmetric_encrypt(secret,X2))
| ~ knows(sign(concatenate(s,concatenate(X0,X1)),inverse(k_ca))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_152])]) ).
fof(f1496,plain,
( spl1_141
<=> ! [X2,X0,X1] :
( ~ knows(sign(concatenate(s,X0),inverse(k_ca)))
| knows(symmetric_encrypt(secret,X1))
| ~ sP0(k_c,sign(concatenate(X1,concatenate(n,X2)),inverse(head(X0)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_141])]) ).
fof(f1500,plain,
( ! [X2,X3,X0,X1] :
( ~ sP0(k_c,sign(concatenate(X2,concatenate(n,X3)),inverse(X0)))
| knows(symmetric_encrypt(secret,X2))
| ~ knows(sign(concatenate(s,concatenate(X0,X1)),inverse(k_ca))) )
| ~ spl1_8
| ~ spl1_141 ),
inference(superposition,[],[f1497,f122]) ).
fof(f1497,plain,
( ! [X2,X0,X1] :
( ~ sP0(k_c,sign(concatenate(X1,concatenate(n,X2)),inverse(head(X0))))
| knows(symmetric_encrypt(secret,X1))
| ~ knows(sign(concatenate(s,X0),inverse(k_ca))) )
| ~ spl1_141 ),
inference(avatar_component_clause,[],[f1496]) ).
fof(f1642,plain,
( ~ spl1_40
| spl1_151
| ~ spl1_20
| ~ spl1_141 ),
inference(avatar_split_clause,[],[f1499,f1496,f171,f1640,f281]) ).
fof(f281,plain,
( spl1_40
<=> knows(k_c) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_40])]) ).
fof(f1499,plain,
( ! [X2,X0,X1] :
( knows(symmetric_encrypt(secret,X0))
| ~ knows(sign(concatenate(s,X1),inverse(k_ca)))
| ~ knows(k_c)
| ~ knows(sign(concatenate(X0,concatenate(n,X2)),inverse(head(X1)))) )
| ~ spl1_20
| ~ spl1_141 ),
inference(resolution,[],[f1497,f172]) ).
fof(f1637,plain,
( ~ spl1_30
| spl1_149
| spl1_150
| ~ spl1_87
| ~ spl1_144 ),
inference(avatar_split_clause,[],[f1570,f1567,f666,f1635,f1631,f222]) ).
fof(f1635,plain,
( spl1_150
<=> ! [X0] : ~ knows(sign(concatenate(s,concatenate(k_s,X0)),inverse(k_ca))) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_150])]) ).
fof(f666,plain,
( spl1_87
<=> ! [X0] :
( ~ knows(X0)
| knows(encrypt(sign(concatenate(kgen(k_c),concatenate(X0,eol)),inverse(k_s)),k_c)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_87])]) ).
fof(f1567,plain,
( spl1_144
<=> ! [X0,X3,X2,X1] :
( ~ knows(encrypt(sign(concatenate(X2,concatenate(n,X3)),inverse(X0)),k_c))
| ~ knows(sign(concatenate(s,concatenate(X0,X1)),inverse(k_ca)))
| knows(symmetric_encrypt(secret,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_144])]) ).
fof(f1570,plain,
( ! [X0] :
( ~ knows(sign(concatenate(s,concatenate(k_s,X0)),inverse(k_ca)))
| knows(symmetric_encrypt(secret,kgen(k_c)))
| ~ knows(n) )
| ~ spl1_87
| ~ spl1_144 ),
inference(resolution,[],[f1568,f667]) ).
fof(f667,plain,
( ! [X0] :
( knows(encrypt(sign(concatenate(kgen(k_c),concatenate(X0,eol)),inverse(k_s)),k_c))
| ~ knows(X0) )
| ~ spl1_87 ),
inference(avatar_component_clause,[],[f666]) ).
fof(f1568,plain,
( ! [X2,X3,X0,X1] :
( ~ knows(encrypt(sign(concatenate(X2,concatenate(n,X3)),inverse(X0)),k_c))
| ~ knows(sign(concatenate(s,concatenate(X0,X1)),inverse(k_ca)))
| knows(symmetric_encrypt(secret,X2)) )
| ~ spl1_144 ),
inference(avatar_component_clause,[],[f1567]) ).
fof(f1608,plain,
( spl1_148
| ~ spl1_118
| ~ spl1_139 ),
inference(avatar_split_clause,[],[f1430,f1414,f888,f1606]) ).
fof(f1606,plain,
( spl1_148
<=> ! [X0,X1] :
( knows(concatenate(encrypt(sign(concatenate(kgen(X0),concatenate(X1,eol)),inverse(k_s)),X0),sign(concatenate(s,concatenate(k_s,eol)),inverse(k_ca))))
| ~ knows(X1)
| ~ knows(X0)
| ~ knows(inverse(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_148])]) ).
fof(f888,plain,
( spl1_118
<=> ! [X1] :
( ~ knows(X1)
| knows(concatenate(X1,eol)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_118])]) ).
fof(f1414,plain,
( spl1_139
<=> ! [X2,X0,X1] :
( knows(concatenate(encrypt(sign(concatenate(kgen(X0),concatenate(X1,eol)),inverse(k_s)),X0),sign(concatenate(s,concatenate(k_s,eol)),inverse(k_ca))))
| ~ knows(concatenate(X0,X2))
| ~ knows(X1)
| ~ knows(X0)
| ~ knows(inverse(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_139])]) ).
fof(f1430,plain,
( ! [X0,X1] :
( knows(concatenate(encrypt(sign(concatenate(kgen(X0),concatenate(X1,eol)),inverse(k_s)),X0),sign(concatenate(s,concatenate(k_s,eol)),inverse(k_ca))))
| ~ knows(X1)
| ~ knows(X0)
| ~ knows(inverse(X0)) )
| ~ spl1_118
| ~ spl1_139 ),
inference(duplicate_literal_removal,[],[f1419]) ).
fof(f1419,plain,
( ! [X0,X1] :
( knows(concatenate(encrypt(sign(concatenate(kgen(X0),concatenate(X1,eol)),inverse(k_s)),X0),sign(concatenate(s,concatenate(k_s,eol)),inverse(k_ca))))
| ~ knows(X1)
| ~ knows(X0)
| ~ knows(inverse(X0))
| ~ knows(X0) )
| ~ spl1_118
| ~ spl1_139 ),
inference(resolution,[],[f1415,f889]) ).
fof(f889,plain,
( ! [X1] :
( knows(concatenate(X1,eol))
| ~ knows(X1) )
| ~ spl1_118 ),
inference(avatar_component_clause,[],[f888]) ).
fof(f1415,plain,
( ! [X2,X0,X1] :
( ~ knows(concatenate(X0,X2))
| knows(concatenate(encrypt(sign(concatenate(kgen(X0),concatenate(X1,eol)),inverse(k_s)),X0),sign(concatenate(s,concatenate(k_s,eol)),inverse(k_ca))))
| ~ knows(X1)
| ~ knows(X0)
| ~ knows(inverse(X0)) )
| ~ spl1_139 ),
inference(avatar_component_clause,[],[f1414]) ).
fof(f1599,plain,
( spl1_134
| ~ spl1_27
| ~ spl1_137 ),
inference(avatar_split_clause,[],[f1590,f1341,f205,f1247]) ).
fof(f205,plain,
( spl1_27
<=> ! [X0,X1] :
( knows(X0)
| ~ knows(inverse(X1))
| ~ knows(encrypt(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_27])]) ).
fof(f1341,plain,
( spl1_137
<=> ! [X0,X1] :
( knows(encrypt(sign(concatenate(kgen(X0),concatenate(X1,eol)),inverse(k_s)),X0))
| ~ knows(X1)
| ~ knows(inverse(X0))
| ~ knows(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_137])]) ).
fof(f1590,plain,
( ! [X0,X1] :
( ~ knows(X0)
| ~ knows(inverse(X1))
| ~ knows(X1)
| knows(sign(concatenate(kgen(X1),concatenate(X0,eol)),inverse(k_s))) )
| ~ spl1_27
| ~ spl1_137 ),
inference(duplicate_literal_removal,[],[f1526]) ).
fof(f1526,plain,
( ! [X0,X1] :
( ~ knows(X0)
| ~ knows(inverse(X1))
| ~ knows(X1)
| ~ knows(inverse(X1))
| knows(sign(concatenate(kgen(X1),concatenate(X0,eol)),inverse(k_s))) )
| ~ spl1_27
| ~ spl1_137 ),
inference(resolution,[],[f1342,f206]) ).
fof(f206,plain,
( ! [X0,X1] :
( ~ knows(encrypt(X0,X1))
| ~ knows(inverse(X1))
| knows(X0) )
| ~ spl1_27 ),
inference(avatar_component_clause,[],[f205]) ).
fof(f1342,plain,
( ! [X0,X1] :
( knows(encrypt(sign(concatenate(kgen(X0),concatenate(X1,eol)),inverse(k_s)),X0))
| ~ knows(X1)
| ~ knows(inverse(X0))
| ~ knows(X0) )
| ~ spl1_137 ),
inference(avatar_component_clause,[],[f1341]) ).
fof(f1585,plain,
( spl1_147
| ~ spl1_13
| ~ spl1_138 ),
inference(avatar_split_clause,[],[f1483,f1369,f143,f1583]) ).
fof(f1369,plain,
( spl1_138
<=> ! [X0,X1] :
( ~ knows(X0)
| ~ knows(concatenate(X0,X1))
| ~ knows(inverse(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_138])]) ).
fof(f1483,plain,
( ! [X0,X1] :
( ~ knows(X0)
| ~ knows(inverse(X0))
| ~ sP0(X1,X0) )
| ~ spl1_13
| ~ spl1_138 ),
inference(resolution,[],[f1370,f144]) ).
fof(f1370,plain,
( ! [X0,X1] :
( ~ knows(concatenate(X0,X1))
| ~ knows(X0)
| ~ knows(inverse(X0)) )
| ~ spl1_138 ),
inference(avatar_component_clause,[],[f1369]) ).
fof(f1581,plain,
( ~ spl1_146
| ~ spl1_68
| ~ spl1_62
| ~ spl1_138 ),
inference(avatar_split_clause,[],[f1492,f1369,f475,f510,f1578]) ).
fof(f1578,plain,
( spl1_146
<=> knows(inverse(s)) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_146])]) ).
fof(f510,plain,
( spl1_68
<=> knows(s) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_68])]) ).
fof(f475,plain,
( spl1_62
<=> knows(concatenate(s,concatenate(k_s,eol))) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_62])]) ).
fof(f1492,plain,
( ~ knows(s)
| ~ knows(inverse(s))
| ~ spl1_62
| ~ spl1_138 ),
inference(resolution,[],[f1370,f477]) ).
fof(f477,plain,
( knows(concatenate(s,concatenate(k_s,eol)))
| ~ spl1_62 ),
inference(avatar_component_clause,[],[f475]) ).
fof(f1576,plain,
( ~ spl1_145
| ~ spl1_51
| ~ spl1_46
| ~ spl1_138 ),
inference(avatar_split_clause,[],[f1491,f1369,f314,f368,f1573]) ).
fof(f1573,plain,
( spl1_145
<=> knows(inverse(c)) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_145])]) ).
fof(f368,plain,
( spl1_51
<=> knows(c) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_51])]) ).
fof(f314,plain,
( spl1_46
<=> knows(concatenate(c,concatenate(k_c,eol))) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_46])]) ).
fof(f1491,plain,
( ~ knows(c)
| ~ knows(inverse(c))
| ~ spl1_46
| ~ spl1_138 ),
inference(resolution,[],[f1370,f316]) ).
fof(f316,plain,
( knows(concatenate(c,concatenate(k_c,eol)))
| ~ spl1_46 ),
inference(avatar_component_clause,[],[f314]) ).
fof(f1569,plain,
( spl1_144
| ~ spl1_8
| ~ spl1_131 ),
inference(avatar_split_clause,[],[f1209,f1198,f121,f1567]) ).
fof(f1198,plain,
( spl1_131
<=> ! [X2,X0,X1] :
( knows(symmetric_encrypt(secret,X0))
| ~ knows(sign(concatenate(s,X1),inverse(k_ca)))
| ~ knows(encrypt(sign(concatenate(X0,concatenate(n,X2)),inverse(head(X1))),k_c)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_131])]) ).
fof(f1209,plain,
( ! [X2,X3,X0,X1] :
( ~ knows(encrypt(sign(concatenate(X2,concatenate(n,X3)),inverse(X0)),k_c))
| ~ knows(sign(concatenate(s,concatenate(X0,X1)),inverse(k_ca)))
| knows(symmetric_encrypt(secret,X2)) )
| ~ spl1_8
| ~ spl1_131 ),
inference(superposition,[],[f1199,f122]) ).
fof(f1199,plain,
( ! [X2,X0,X1] :
( ~ knows(encrypt(sign(concatenate(X0,concatenate(n,X2)),inverse(head(X1))),k_c))
| ~ knows(sign(concatenate(s,X1),inverse(k_ca)))
| knows(symmetric_encrypt(secret,X0)) )
| ~ spl1_131 ),
inference(avatar_component_clause,[],[f1198]) ).
fof(f1547,plain,
( ~ spl1_143
| ~ spl1_30
| ~ spl1_29
| ~ spl1_138 ),
inference(avatar_split_clause,[],[f1488,f1369,f215,f222,f1544]) ).
fof(f1544,plain,
( spl1_143
<=> knows(inverse(n)) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_143])]) ).
fof(f215,plain,
( spl1_29
<=> knows(concatenate(n,concatenate(k_c,sign(concatenate(c,concatenate(k_c,eol)),inverse(k_c))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_29])]) ).
fof(f1488,plain,
( ~ knows(n)
| ~ knows(inverse(n))
| ~ spl1_29
| ~ spl1_138 ),
inference(resolution,[],[f1370,f217]) ).
fof(f217,plain,
( knows(concatenate(n,concatenate(k_c,sign(concatenate(c,concatenate(k_c,eol)),inverse(k_c)))))
| ~ spl1_29 ),
inference(avatar_component_clause,[],[f215]) ).
fof(f1538,plain,
( spl1_134
| ~ spl1_27
| ~ spl1_137 ),
inference(avatar_split_clause,[],[f1397,f1341,f205,f1247]) ).
fof(f1397,plain,
( ! [X0,X1] :
( ~ knows(X0)
| ~ knows(inverse(X1))
| ~ knows(X1)
| knows(sign(concatenate(kgen(X1),concatenate(X0,eol)),inverse(k_s))) )
| ~ spl1_27
| ~ spl1_137 ),
inference(duplicate_literal_removal,[],[f1396]) ).
fof(f1396,plain,
( ! [X0,X1] :
( ~ knows(X0)
| ~ knows(inverse(X1))
| ~ knows(X1)
| ~ knows(inverse(X1))
| knows(sign(concatenate(kgen(X1),concatenate(X0,eol)),inverse(k_s))) )
| ~ spl1_27
| ~ spl1_137 ),
inference(resolution,[],[f1342,f206]) ).
fof(f1504,plain,
( spl1_142
| ~ spl1_118
| ~ spl1_138 ),
inference(avatar_split_clause,[],[f1494,f1369,f888,f1502]) ).
fof(f1494,plain,
( ! [X0] :
( ~ knows(X0)
| ~ knows(inverse(X0)) )
| ~ spl1_118
| ~ spl1_138 ),
inference(duplicate_literal_removal,[],[f1484]) ).
fof(f1484,plain,
( ! [X0] :
( ~ knows(X0)
| ~ knows(inverse(X0))
| ~ knows(X0) )
| ~ spl1_118
| ~ spl1_138 ),
inference(resolution,[],[f1370,f889]) ).
fof(f1498,plain,
( spl1_141
| ~ spl1_14
| ~ spl1_131 ),
inference(avatar_split_clause,[],[f1208,f1198,f147,f1496]) ).
fof(f147,plain,
( spl1_14
<=> ! [X0,X1] :
( knows(encrypt(X1,X0))
| ~ sP0(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_14])]) ).
fof(f1208,plain,
( ! [X2,X0,X1] :
( ~ knows(sign(concatenate(s,X0),inverse(k_ca)))
| knows(symmetric_encrypt(secret,X1))
| ~ sP0(k_c,sign(concatenate(X1,concatenate(n,X2)),inverse(head(X0)))) )
| ~ spl1_14
| ~ spl1_131 ),
inference(resolution,[],[f1199,f148]) ).
fof(f148,plain,
( ! [X0,X1] :
( knows(encrypt(X1,X0))
| ~ sP0(X0,X1) )
| ~ spl1_14 ),
inference(avatar_component_clause,[],[f147]) ).
fof(f1455,plain,
( ~ spl1_74
| spl1_140
| ~ spl1_28
| ~ spl1_134 ),
inference(avatar_split_clause,[],[f1320,f1247,f209,f1453,f564]) ).
fof(f564,plain,
( spl1_74
<=> knows(k_s) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_74])]) ).
fof(f209,plain,
( spl1_28
<=> ! [X0,X1] :
( knows(X0)
| ~ knows(X1)
| ~ knows(sign(X0,inverse(X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_28])]) ).
fof(f1320,plain,
( ! [X0,X1] :
( ~ knows(X0)
| ~ knows(inverse(X1))
| ~ knows(X1)
| ~ knows(k_s)
| knows(concatenate(kgen(X1),concatenate(X0,eol))) )
| ~ spl1_28
| ~ spl1_134 ),
inference(resolution,[],[f1248,f210]) ).
fof(f210,plain,
( ! [X0,X1] :
( ~ knows(sign(X0,inverse(X1)))
| ~ knows(X1)
| knows(X0) )
| ~ spl1_28 ),
inference(avatar_component_clause,[],[f209]) ).
fof(f1416,plain,
( spl1_49
| spl1_139
| ~ spl1_20
| ~ spl1_125 ),
inference(avatar_split_clause,[],[f1074,f1070,f171,f1414,f334]) ).
fof(f1070,plain,
( spl1_125
<=> ! [X0,X3,X2,X1] :
( ~ knows(X0)
| knows(concatenate(encrypt(sign(concatenate(kgen(X1),concatenate(X0,eol)),inverse(k_s)),X1),sign(concatenate(s,concatenate(k_s,eol)),inverse(k_ca))))
| ~ knows(inverse(X1))
| ~ knows(X1)
| ~ sP0(concatenate(X1,X2),X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_125])]) ).
fof(f1074,plain,
( ! [X2,X3,X0,X1] :
( knows(concatenate(encrypt(sign(concatenate(kgen(X0),concatenate(X1,eol)),inverse(k_s)),X0),sign(concatenate(s,concatenate(k_s,eol)),inverse(k_ca))))
| ~ knows(inverse(X0))
| ~ knows(X0)
| ~ knows(X1)
| ~ knows(concatenate(X0,X2))
| ~ knows(X3) )
| ~ spl1_20
| ~ spl1_125 ),
inference(resolution,[],[f1071,f172]) ).
fof(f1071,plain,
( ! [X2,X3,X0,X1] :
( ~ sP0(concatenate(X1,X2),X3)
| knows(concatenate(encrypt(sign(concatenate(kgen(X1),concatenate(X0,eol)),inverse(k_s)),X1),sign(concatenate(s,concatenate(k_s,eol)),inverse(k_ca))))
| ~ knows(inverse(X1))
| ~ knows(X1)
| ~ knows(X0) )
| ~ spl1_125 ),
inference(avatar_component_clause,[],[f1070]) ).
fof(f1371,plain,
( spl1_49
| spl1_138
| ~ spl1_20
| ~ spl1_135 ),
inference(avatar_split_clause,[],[f1366,f1269,f171,f1369,f334]) ).
fof(f1269,plain,
( spl1_135
<=> ! [X2,X0,X1] :
( ~ knows(inverse(X0))
| ~ knows(X0)
| ~ sP0(concatenate(X0,X1),X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_135])]) ).
fof(f1366,plain,
( ! [X2,X0,X1] :
( ~ knows(X0)
| ~ knows(inverse(X0))
| ~ knows(concatenate(X0,X1))
| ~ knows(X2) )
| ~ spl1_20
| ~ spl1_135 ),
inference(resolution,[],[f1270,f172]) ).
fof(f1270,plain,
( ! [X2,X0,X1] :
( ~ sP0(concatenate(X0,X1),X2)
| ~ knows(X0)
| ~ knows(inverse(X0)) )
| ~ spl1_135 ),
inference(avatar_component_clause,[],[f1269]) ).
fof(f1343,plain,
( spl1_119
| spl1_137
| ~ spl1_112
| ~ spl1_114 ),
inference(avatar_split_clause,[],[f909,f864,f828,f1341,f891]) ).
fof(f891,plain,
( spl1_119
<=> ! [X0] :
( ~ knows(inverse(head(tail(X0))))
| ~ knows(head(tail(X0)))
| ~ knows(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_119])]) ).
fof(f828,plain,
( spl1_112
<=> ! [X0,X1] :
( ~ knows(inverse(head(tail(X0))))
| knows(concatenate(kgen(head(tail(X0))),concatenate(X1,eol)))
| ~ knows(X0)
| ~ knows(X1)
| ~ knows(head(tail(X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_112])]) ).
fof(f864,plain,
( spl1_114
<=> ! [X2,X0,X1,X3] :
( ~ knows(X0)
| knows(encrypt(sign(concatenate(kgen(X1),concatenate(X0,eol)),inverse(k_s)),X1))
| ~ knows(X1)
| ~ knows(inverse(X1))
| ~ knows(concatenate(X2,concatenate(X1,X3))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_114])]) ).
fof(f909,plain,
( ! [X2,X0,X1] :
( knows(encrypt(sign(concatenate(kgen(X0),concatenate(X1,eol)),inverse(k_s)),X0))
| ~ knows(X0)
| ~ knows(inverse(X0))
| ~ knows(X1)
| ~ knows(inverse(head(tail(X2))))
| ~ knows(X2)
| ~ knows(head(tail(X2))) )
| ~ spl1_112
| ~ spl1_114 ),
inference(duplicate_literal_removal,[],[f875]) ).
fof(f875,plain,
( ! [X2,X0,X1] :
( knows(encrypt(sign(concatenate(kgen(X0),concatenate(X1,eol)),inverse(k_s)),X0))
| ~ knows(X0)
| ~ knows(inverse(X0))
| ~ knows(X1)
| ~ knows(inverse(head(tail(X2))))
| ~ knows(X2)
| ~ knows(X0)
| ~ knows(head(tail(X2))) )
| ~ spl1_112
| ~ spl1_114 ),
inference(resolution,[],[f865,f829]) ).
fof(f829,plain,
( ! [X0,X1] :
( knows(concatenate(kgen(head(tail(X0))),concatenate(X1,eol)))
| ~ knows(inverse(head(tail(X0))))
| ~ knows(X0)
| ~ knows(X1)
| ~ knows(head(tail(X0))) )
| ~ spl1_112 ),
inference(avatar_component_clause,[],[f828]) ).
fof(f865,plain,
( ! [X2,X3,X0,X1] :
( ~ knows(concatenate(X2,concatenate(X1,X3)))
| knows(encrypt(sign(concatenate(kgen(X1),concatenate(X0,eol)),inverse(k_s)),X1))
| ~ knows(X1)
| ~ knows(inverse(X1))
| ~ knows(X0) )
| ~ spl1_114 ),
inference(avatar_component_clause,[],[f864]) ).
fof(f1304,plain,
( spl1_136
| ~ spl1_13
| ~ spl1_129 ),
inference(avatar_split_clause,[],[f1214,f1164,f143,f1302]) ).
fof(f1302,plain,
( spl1_136
<=> ! [X0,X1] :
( knows(kgen(head(X0)))
| ~ knows(head(X0))
| ~ knows(inverse(head(X0)))
| ~ sP0(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_136])]) ).
fof(f1164,plain,
( spl1_129
<=> ! [X0,X1] :
( ~ knows(inverse(head(X1)))
| knows(kgen(head(X1)))
| ~ knows(head(X1))
| ~ knows(concatenate(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_129])]) ).
fof(f1214,plain,
( ! [X0,X1] :
( knows(kgen(head(X0)))
| ~ knows(head(X0))
| ~ knows(inverse(head(X0)))
| ~ sP0(X0,X1) )
| ~ spl1_13
| ~ spl1_129 ),
inference(resolution,[],[f1165,f144]) ).
fof(f1165,plain,
( ! [X0,X1] :
( ~ knows(concatenate(X0,X1))
| knows(kgen(head(X1)))
| ~ knows(head(X1))
| ~ knows(inverse(head(X1))) )
| ~ spl1_129 ),
inference(avatar_component_clause,[],[f1164]) ).
fof(f1271,plain,
( spl1_135
| ~ spl1_8
| ~ spl1_128 ),
inference(avatar_split_clause,[],[f1267,f1099,f121,f1269]) ).
fof(f1099,plain,
( spl1_128
<=> ! [X0,X1] :
( ~ knows(inverse(head(X0)))
| ~ knows(head(X0))
| ~ sP0(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_128])]) ).
fof(f1267,plain,
( ! [X2,X0,X1] :
( ~ knows(inverse(X0))
| ~ knows(X0)
| ~ sP0(concatenate(X0,X1),X2) )
| ~ spl1_8
| ~ spl1_128 ),
inference(superposition,[],[f1100,f122]) ).
fof(f1100,plain,
( ! [X0,X1] :
( ~ knows(inverse(head(X0)))
| ~ knows(head(X0))
| ~ sP0(X0,X1) )
| ~ spl1_128 ),
inference(avatar_component_clause,[],[f1099]) ).
fof(f1249,plain,
( spl1_119
| spl1_134
| ~ spl1_8
| ~ spl1_112
| ~ spl1_113 ),
inference(avatar_split_clause,[],[f911,f843,f828,f121,f1247,f891]) ).
fof(f843,plain,
( spl1_113
<=> ! [X2,X0,X1] :
( knows(sign(concatenate(kgen(head(X1)),concatenate(X2,eol)),inverse(k_s)))
| ~ knows(inverse(head(X1)))
| ~ knows(head(X1))
| ~ knows(X2)
| ~ knows(concatenate(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_113])]) ).
fof(f911,plain,
( ! [X2,X0,X1] :
( knows(sign(concatenate(kgen(X0),concatenate(X1,eol)),inverse(k_s)))
| ~ knows(X0)
| ~ knows(inverse(X0))
| ~ knows(X1)
| ~ knows(inverse(head(tail(X2))))
| ~ knows(X2)
| ~ knows(head(tail(X2))) )
| ~ spl1_8
| ~ spl1_112
| ~ spl1_113 ),
inference(forward_demodulation,[],[f910,f122]) ).
fof(f910,plain,
( ! [X2,X0,X1] :
( ~ knows(X0)
| ~ knows(inverse(X0))
| ~ knows(X1)
| knows(sign(concatenate(kgen(head(concatenate(X0,eol))),concatenate(X1,eol)),inverse(k_s)))
| ~ knows(inverse(head(tail(X2))))
| ~ knows(X2)
| ~ knows(head(tail(X2))) )
| ~ spl1_8
| ~ spl1_112
| ~ spl1_113 ),
inference(duplicate_literal_removal,[],[f860]) ).
fof(f860,plain,
( ! [X2,X0,X1] :
( ~ knows(X0)
| ~ knows(inverse(X0))
| ~ knows(X1)
| knows(sign(concatenate(kgen(head(concatenate(X0,eol))),concatenate(X1,eol)),inverse(k_s)))
| ~ knows(inverse(head(tail(X2))))
| ~ knows(X2)
| ~ knows(X0)
| ~ knows(head(tail(X2))) )
| ~ spl1_8
| ~ spl1_112
| ~ spl1_113 ),
inference(forward_demodulation,[],[f859,f122]) ).
fof(f859,plain,
( ! [X2,X0,X1] :
( ~ knows(inverse(X0))
| ~ knows(head(concatenate(X0,eol)))
| ~ knows(X1)
| knows(sign(concatenate(kgen(head(concatenate(X0,eol))),concatenate(X1,eol)),inverse(k_s)))
| ~ knows(inverse(head(tail(X2))))
| ~ knows(X2)
| ~ knows(X0)
| ~ knows(head(tail(X2))) )
| ~ spl1_8
| ~ spl1_112
| ~ spl1_113 ),
inference(forward_demodulation,[],[f854,f122]) ).
fof(f854,plain,
( ! [X2,X0,X1] :
( ~ knows(inverse(head(concatenate(X0,eol))))
| ~ knows(head(concatenate(X0,eol)))
| ~ knows(X1)
| knows(sign(concatenate(kgen(head(concatenate(X0,eol))),concatenate(X1,eol)),inverse(k_s)))
| ~ knows(inverse(head(tail(X2))))
| ~ knows(X2)
| ~ knows(X0)
| ~ knows(head(tail(X2))) )
| ~ spl1_112
| ~ spl1_113 ),
inference(resolution,[],[f844,f829]) ).
fof(f844,plain,
( ! [X2,X0,X1] :
( ~ knows(concatenate(X0,X1))
| ~ knows(inverse(head(X1)))
| ~ knows(head(X1))
| ~ knows(X2)
| knows(sign(concatenate(kgen(head(X1)),concatenate(X2,eol)),inverse(k_s))) )
| ~ spl1_113 ),
inference(avatar_component_clause,[],[f843]) ).
fof(f1244,plain,
( spl1_133
| ~ spl1_124 ),
inference(avatar_split_clause,[],[f1068,f1065,f1242]) ).
fof(f1242,plain,
( spl1_133
<=> ! [X4,X0,X3,X2,X1] :
( knows(symmetric_encrypt(secret,X0))
| n != X1
| ~ knows(sign(concatenate(s,concatenate(X2,X3)),inverse(k_ca)))
| ~ knows(encrypt(sign(concatenate(X0,concatenate(X1,X4)),inverse(X2)),k_c)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_133])]) ).
fof(f1065,plain,
( spl1_124
<=> ! [X3,X4,X0,X5,X2,X1] :
( n != X0
| knows(symmetric_encrypt(secret,X2))
| s != X3
| ~ knows(sign(concatenate(X3,concatenate(X4,X5)),inverse(k_ca)))
| ~ knows(encrypt(sign(concatenate(X2,concatenate(X0,X1)),inverse(X4)),k_c)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_124])]) ).
fof(f1068,plain,
( ! [X2,X3,X0,X1,X4] :
( knows(symmetric_encrypt(secret,X0))
| n != X1
| ~ knows(sign(concatenate(s,concatenate(X2,X3)),inverse(k_ca)))
| ~ knows(encrypt(sign(concatenate(X0,concatenate(X1,X4)),inverse(X2)),k_c)) )
| ~ spl1_124 ),
inference(equality_resolution,[],[f1066]) ).
fof(f1066,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( s != X3
| knows(symmetric_encrypt(secret,X2))
| n != X0
| ~ knows(sign(concatenate(X3,concatenate(X4,X5)),inverse(k_ca)))
| ~ knows(encrypt(sign(concatenate(X2,concatenate(X0,X1)),inverse(X4)),k_c)) )
| ~ spl1_124 ),
inference(avatar_component_clause,[],[f1065]) ).
fof(f1213,plain,
( spl1_132
| ~ spl1_13
| ~ spl1_114 ),
inference(avatar_split_clause,[],[f871,f864,f143,f1211]) ).
fof(f1211,plain,
( spl1_132
<=> ! [X0,X3,X2,X1] :
( knows(encrypt(sign(concatenate(kgen(X0),concatenate(X1,eol)),inverse(k_s)),X0))
| ~ knows(X0)
| ~ knows(inverse(X0))
| ~ knows(X1)
| ~ sP0(concatenate(X0,X2),X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_132])]) ).
fof(f871,plain,
( ! [X2,X3,X0,X1] :
( knows(encrypt(sign(concatenate(kgen(X0),concatenate(X1,eol)),inverse(k_s)),X0))
| ~ knows(X0)
| ~ knows(inverse(X0))
| ~ knows(X1)
| ~ sP0(concatenate(X0,X2),X3) )
| ~ spl1_13
| ~ spl1_114 ),
inference(resolution,[],[f865,f144]) ).
fof(f1200,plain,
( spl1_131
| ~ spl1_117 ),
inference(avatar_split_clause,[],[f1059,f884,f1198]) ).
fof(f884,plain,
( spl1_117
<=> ! [X0,X3,X2,X1] :
( knows(symmetric_encrypt(secret,X0))
| n != X1
| ~ knows(sign(concatenate(s,X2),inverse(k_ca)))
| ~ knows(encrypt(sign(concatenate(X0,concatenate(X1,X3)),inverse(head(X2))),k_c)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_117])]) ).
fof(f1059,plain,
( ! [X2,X0,X1] :
( knows(symmetric_encrypt(secret,X0))
| ~ knows(sign(concatenate(s,X1),inverse(k_ca)))
| ~ knows(encrypt(sign(concatenate(X0,concatenate(n,X2)),inverse(head(X1))),k_c)) )
| ~ spl1_117 ),
inference(equality_resolution,[],[f885]) ).
fof(f885,plain,
( ! [X2,X3,X0,X1] :
( n != X1
| knows(symmetric_encrypt(secret,X0))
| ~ knows(sign(concatenate(s,X2),inverse(k_ca)))
| ~ knows(encrypt(sign(concatenate(X0,concatenate(X1,X3)),inverse(head(X2))),k_c)) )
| ~ spl1_117 ),
inference(avatar_component_clause,[],[f884]) ).
fof(f1177,plain,
( spl1_130
| ~ spl1_9
| ~ spl1_112 ),
inference(avatar_split_clause,[],[f836,f828,f125,f1175]) ).
fof(f1175,plain,
( spl1_130
<=> ! [X2,X0,X1] :
( knows(concatenate(kgen(head(X1)),concatenate(X2,eol)))
| ~ knows(inverse(head(X1)))
| ~ knows(concatenate(X0,X1))
| ~ knows(X2)
| ~ knows(head(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_130])]) ).
fof(f125,plain,
( spl1_9
<=> ! [X0,X1] : tail(concatenate(X0,X1)) = X1 ),
introduced(avatar_definition,[new_symbols(naming,[spl1_9])]) ).
fof(f836,plain,
( ! [X2,X0,X1] :
( knows(concatenate(kgen(head(X1)),concatenate(X2,eol)))
| ~ knows(inverse(head(X1)))
| ~ knows(concatenate(X0,X1))
| ~ knows(X2)
| ~ knows(head(X1)) )
| ~ spl1_9
| ~ spl1_112 ),
inference(superposition,[],[f829,f126]) ).
fof(f126,plain,
( ! [X0,X1] : tail(concatenate(X0,X1)) = X1
| ~ spl1_9 ),
inference(avatar_component_clause,[],[f125]) ).
fof(f1167,plain,
( spl1_97
| ~ spl1_74
| spl1_119
| ~ spl1_69
| ~ spl1_91 ),
inference(avatar_split_clause,[],[f719,f704,f515,f891,f564,f755]) ).
fof(f755,plain,
( spl1_97
<=> ! [X0] :
( knows(concatenate(encrypt(sign(concatenate(kgen(k_s),concatenate(X0,eol)),inverse(k_s)),k_s),sign(concatenate(s,concatenate(k_s,eol)),inverse(k_ca))))
| ~ knows(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_97])]) ).
fof(f515,plain,
( spl1_69
<=> ! [X0,X3,X2,X1] :
( knows(concatenate(encrypt(sign(concatenate(kgen(X0),concatenate(X1,eol)),inverse(k_s)),X0),sign(concatenate(s,concatenate(k_s,eol)),inverse(k_ca))))
| ~ knows(sign(concatenate(X2,concatenate(X0,X3)),inverse(X0)))
| ~ knows(X0)
| ~ knows(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_69])]) ).
fof(f704,plain,
( spl1_91
<=> ! [X0,X1] :
( ~ knows(head(tail(X0)))
| ~ knows(inverse(head(tail(X0))))
| knows(sign(concatenate(kgen(head(tail(X0))),concatenate(X1,eol)),inverse(k_s)))
| ~ knows(X1)
| ~ knows(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_91])]) ).
fof(f719,plain,
( ! [X0,X1] :
( ~ knows(inverse(head(tail(X0))))
| ~ knows(head(tail(X0)))
| ~ knows(k_s)
| ~ knows(X0)
| knows(concatenate(encrypt(sign(concatenate(kgen(k_s),concatenate(X1,eol)),inverse(k_s)),k_s),sign(concatenate(s,concatenate(k_s,eol)),inverse(k_ca))))
| ~ knows(X1) )
| ~ spl1_69
| ~ spl1_91 ),
inference(duplicate_literal_removal,[],[f716]) ).
fof(f716,plain,
( ! [X0,X1] :
( ~ knows(inverse(head(tail(X0))))
| ~ knows(head(tail(X0)))
| ~ knows(k_s)
| ~ knows(X0)
| knows(concatenate(encrypt(sign(concatenate(kgen(k_s),concatenate(X1,eol)),inverse(k_s)),k_s),sign(concatenate(s,concatenate(k_s,eol)),inverse(k_ca))))
| ~ knows(k_s)
| ~ knows(X1) )
| ~ spl1_69
| ~ spl1_91 ),
inference(resolution,[],[f705,f516]) ).
fof(f516,plain,
( ! [X2,X3,X0,X1] :
( ~ knows(sign(concatenate(X2,concatenate(X0,X3)),inverse(X0)))
| knows(concatenate(encrypt(sign(concatenate(kgen(X0),concatenate(X1,eol)),inverse(k_s)),X0),sign(concatenate(s,concatenate(k_s,eol)),inverse(k_ca))))
| ~ knows(X0)
| ~ knows(X1) )
| ~ spl1_69 ),
inference(avatar_component_clause,[],[f515]) ).
fof(f705,plain,
( ! [X0,X1] :
( knows(sign(concatenate(kgen(head(tail(X0))),concatenate(X1,eol)),inverse(k_s)))
| ~ knows(inverse(head(tail(X0))))
| ~ knows(head(tail(X0)))
| ~ knows(X1)
| ~ knows(X0) )
| ~ spl1_91 ),
inference(avatar_component_clause,[],[f704]) ).
fof(f1166,plain,
( spl1_129
| ~ spl1_9
| ~ spl1_122 ),
inference(avatar_split_clause,[],[f1057,f1016,f125,f1164]) ).
fof(f1016,plain,
( spl1_122
<=> ! [X0] :
( ~ knows(inverse(head(tail(X0))))
| knows(kgen(head(tail(X0))))
| ~ knows(head(tail(X0)))
| ~ knows(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_122])]) ).
fof(f1057,plain,
( ! [X0,X1] :
( ~ knows(inverse(head(X1)))
| knows(kgen(head(X1)))
| ~ knows(head(X1))
| ~ knows(concatenate(X0,X1)) )
| ~ spl1_9
| ~ spl1_122 ),
inference(superposition,[],[f1017,f126]) ).
fof(f1017,plain,
( ! [X0] :
( ~ knows(inverse(head(tail(X0))))
| knows(kgen(head(tail(X0))))
| ~ knows(head(tail(X0)))
| ~ knows(X0) )
| ~ spl1_122 ),
inference(avatar_component_clause,[],[f1016]) ).
fof(f1101,plain,
( spl1_128
| ~ spl1_13
| ~ spl1_120 ),
inference(avatar_split_clause,[],[f1085,f957,f143,f1099]) ).
fof(f957,plain,
( spl1_120
<=> ! [X0,X1] :
( ~ knows(head(X0))
| ~ knows(inverse(head(X0)))
| ~ knows(concatenate(X1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_120])]) ).
fof(f1085,plain,
( ! [X0,X1] :
( ~ knows(inverse(head(X0)))
| ~ knows(head(X0))
| ~ sP0(X0,X1) )
| ~ spl1_13
| ~ spl1_120 ),
inference(resolution,[],[f958,f144]) ).
fof(f958,plain,
( ! [X0,X1] :
( ~ knows(concatenate(X1,X0))
| ~ knows(inverse(head(X0)))
| ~ knows(head(X0)) )
| ~ spl1_120 ),
inference(avatar_component_clause,[],[f957]) ).
fof(f1084,plain,
( spl1_120
| ~ spl1_9
| ~ spl1_119 ),
inference(avatar_split_clause,[],[f1075,f891,f125,f957]) ).
fof(f1075,plain,
( ! [X0,X1] :
( ~ knows(inverse(head(X1)))
| ~ knows(head(X1))
| ~ knows(concatenate(X0,X1)) )
| ~ spl1_9
| ~ spl1_119 ),
inference(superposition,[],[f892,f126]) ).
fof(f892,plain,
( ! [X0] :
( ~ knows(inverse(head(tail(X0))))
| ~ knows(head(tail(X0)))
| ~ knows(X0) )
| ~ spl1_119 ),
inference(avatar_component_clause,[],[f891]) ).
fof(f1083,plain,
( spl1_127
| ~ spl1_20
| ~ spl1_115 ),
inference(avatar_split_clause,[],[f878,f868,f171,f1081]) ).
fof(f1081,plain,
( spl1_127
<=> ! [X2,X0,X1,X3] :
( ~ knows(X0)
| ~ knows(inverse(X0))
| knows(sign(concatenate(kgen(X0),concatenate(X1,eol)),inverse(k_s)))
| ~ knows(X1)
| ~ knows(concatenate(X2,concatenate(X0,X3))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_127])]) ).
fof(f868,plain,
( spl1_115
<=> ! [X0,X3,X2,X1] :
( ~ knows(X0)
| ~ knows(X1)
| ~ knows(inverse(X1))
| knows(sign(concatenate(kgen(X1),concatenate(X0,eol)),inverse(k_s)))
| ~ sP0(inverse(X1),concatenate(X2,concatenate(X1,X3))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_115])]) ).
fof(f878,plain,
( ! [X2,X3,X0,X1] :
( ~ knows(X0)
| ~ knows(inverse(X0))
| knows(sign(concatenate(kgen(X0),concatenate(X1,eol)),inverse(k_s)))
| ~ knows(X1)
| ~ knows(concatenate(X2,concatenate(X0,X3))) )
| ~ spl1_20
| ~ spl1_115 ),
inference(duplicate_literal_removal,[],[f877]) ).
fof(f877,plain,
( ! [X2,X3,X0,X1] :
( ~ knows(X0)
| ~ knows(inverse(X0))
| knows(sign(concatenate(kgen(X0),concatenate(X1,eol)),inverse(k_s)))
| ~ knows(X1)
| ~ knows(inverse(X0))
| ~ knows(concatenate(X2,concatenate(X0,X3))) )
| ~ spl1_20
| ~ spl1_115 ),
inference(resolution,[],[f869,f172]) ).
fof(f869,plain,
( ! [X2,X3,X0,X1] :
( ~ sP0(inverse(X1),concatenate(X2,concatenate(X1,X3)))
| ~ knows(X1)
| ~ knows(inverse(X1))
| knows(sign(concatenate(kgen(X1),concatenate(X0,eol)),inverse(k_s)))
| ~ knows(X0) )
| ~ spl1_115 ),
inference(avatar_component_clause,[],[f868]) ).
fof(f1079,plain,
( spl1_126
| ~ spl1_13
| ~ spl1_113 ),
inference(avatar_split_clause,[],[f846,f843,f143,f1077]) ).
fof(f1077,plain,
( spl1_126
<=> ! [X2,X0,X1] :
( ~ knows(inverse(head(X0)))
| ~ knows(head(X0))
| ~ knows(X1)
| knows(sign(concatenate(kgen(head(X0)),concatenate(X1,eol)),inverse(k_s)))
| ~ sP0(X0,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_126])]) ).
fof(f846,plain,
( ! [X2,X0,X1] :
( ~ knows(inverse(head(X0)))
| ~ knows(head(X0))
| ~ knows(X1)
| knows(sign(concatenate(kgen(head(X0)),concatenate(X1,eol)),inverse(k_s)))
| ~ sP0(X0,X2) )
| ~ spl1_13
| ~ spl1_113 ),
inference(resolution,[],[f844,f144]) ).
fof(f1072,plain,
( spl1_125
| ~ spl1_13
| ~ spl1_104 ),
inference(avatar_split_clause,[],[f789,f786,f143,f1070]) ).
fof(f786,plain,
( spl1_104
<=> ! [X2,X0,X1,X3] :
( ~ knows(X0)
| ~ knows(X1)
| knows(concatenate(encrypt(sign(concatenate(kgen(X0),concatenate(X1,eol)),inverse(k_s)),X0),sign(concatenate(s,concatenate(k_s,eol)),inverse(k_ca))))
| ~ knows(inverse(X0))
| ~ knows(concatenate(X2,concatenate(X0,X3))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_104])]) ).
fof(f789,plain,
( ! [X2,X3,X0,X1] :
( ~ knows(X0)
| knows(concatenate(encrypt(sign(concatenate(kgen(X1),concatenate(X0,eol)),inverse(k_s)),X1),sign(concatenate(s,concatenate(k_s,eol)),inverse(k_ca))))
| ~ knows(inverse(X1))
| ~ knows(X1)
| ~ sP0(concatenate(X1,X2),X3) )
| ~ spl1_13
| ~ spl1_104 ),
inference(resolution,[],[f787,f144]) ).
fof(f787,plain,
( ! [X2,X3,X0,X1] :
( ~ knows(concatenate(X2,concatenate(X0,X3)))
| ~ knows(X1)
| knows(concatenate(encrypt(sign(concatenate(kgen(X0),concatenate(X1,eol)),inverse(k_s)),X0),sign(concatenate(s,concatenate(k_s,eol)),inverse(k_ca))))
| ~ knows(inverse(X0))
| ~ knows(X0) )
| ~ spl1_104 ),
inference(avatar_component_clause,[],[f786]) ).
fof(f1067,plain,
( spl1_124
| ~ spl1_8
| ~ spl1_100 ),
inference(avatar_split_clause,[],[f771,f767,f121,f1065]) ).
fof(f767,plain,
( spl1_100
<=> ! [X4,X0,X3,X2,X1] :
( knows(symmetric_encrypt(secret,X0))
| n != head(X1)
| s != X2
| ~ knows(sign(concatenate(X2,concatenate(X3,X4)),inverse(k_ca)))
| ~ knows(encrypt(sign(concatenate(X0,X1),inverse(X3)),k_c)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_100])]) ).
fof(f771,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( n != X0
| knows(symmetric_encrypt(secret,X2))
| s != X3
| ~ knows(sign(concatenate(X3,concatenate(X4,X5)),inverse(k_ca)))
| ~ knows(encrypt(sign(concatenate(X2,concatenate(X0,X1)),inverse(X4)),k_c)) )
| ~ spl1_8
| ~ spl1_100 ),
inference(superposition,[],[f768,f122]) ).
fof(f768,plain,
( ! [X2,X3,X0,X1,X4] :
( n != head(X1)
| knows(symmetric_encrypt(secret,X0))
| s != X2
| ~ knows(sign(concatenate(X2,concatenate(X3,X4)),inverse(k_ca)))
| ~ knows(encrypt(sign(concatenate(X0,X1),inverse(X3)),k_c)) )
| ~ spl1_100 ),
inference(avatar_component_clause,[],[f767]) ).
fof(f1063,plain,
( spl1_123
| ~ spl1_74
| spl1_119
| ~ spl1_78
| ~ spl1_91 ),
inference(avatar_split_clause,[],[f720,f704,f616,f891,f564,f1061]) ).
fof(f1061,plain,
( spl1_123
<=> ! [X1] :
( ~ knows(X1)
| knows(encrypt(sign(concatenate(kgen(k_s),concatenate(X1,eol)),inverse(k_s)),k_s)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_123])]) ).
fof(f616,plain,
( spl1_78
<=> ! [X0,X3,X2,X1] :
( ~ knows(sign(concatenate(X2,concatenate(X0,X1)),inverse(X0)))
| ~ knows(X0)
| ~ knows(X3)
| knows(encrypt(sign(concatenate(kgen(X0),concatenate(X3,eol)),inverse(k_s)),X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_78])]) ).
fof(f720,plain,
( ! [X0,X1] :
( ~ knows(inverse(head(tail(X0))))
| ~ knows(head(tail(X0)))
| ~ knows(k_s)
| ~ knows(X0)
| ~ knows(X1)
| knows(encrypt(sign(concatenate(kgen(k_s),concatenate(X1,eol)),inverse(k_s)),k_s)) )
| ~ spl1_78
| ~ spl1_91 ),
inference(duplicate_literal_removal,[],[f715]) ).
fof(f715,plain,
( ! [X0,X1] :
( ~ knows(inverse(head(tail(X0))))
| ~ knows(head(tail(X0)))
| ~ knows(k_s)
| ~ knows(X0)
| ~ knows(k_s)
| ~ knows(X1)
| knows(encrypt(sign(concatenate(kgen(k_s),concatenate(X1,eol)),inverse(k_s)),k_s)) )
| ~ spl1_78
| ~ spl1_91 ),
inference(resolution,[],[f705,f617]) ).
fof(f617,plain,
( ! [X2,X3,X0,X1] :
( ~ knows(sign(concatenate(X2,concatenate(X0,X1)),inverse(X0)))
| ~ knows(X0)
| ~ knows(X3)
| knows(encrypt(sign(concatenate(kgen(X0),concatenate(X3,eol)),inverse(k_s)),X0)) )
| ~ spl1_78 ),
inference(avatar_component_clause,[],[f616]) ).
fof(f1054,plain,
( spl1_115
| ~ spl1_8
| ~ spl1_96 ),
inference(avatar_split_clause,[],[f1009,f734,f121,f868]) ).
fof(f734,plain,
( spl1_96
<=> ! [X2,X0,X1] :
( ~ knows(X0)
| ~ knows(head(X1))
| ~ knows(inverse(head(X1)))
| knows(sign(concatenate(kgen(head(X1)),concatenate(X0,eol)),inverse(k_s)))
| ~ sP0(inverse(head(X1)),concatenate(X2,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_96])]) ).
fof(f1009,plain,
( ! [X2,X3,X0,X1] :
( ~ sP0(inverse(X0),concatenate(X2,concatenate(X0,X1)))
| ~ knows(X0)
| ~ knows(inverse(X0))
| knows(sign(concatenate(kgen(X0),concatenate(X3,eol)),inverse(k_s)))
| ~ knows(X3) )
| ~ spl1_8
| ~ spl1_96 ),
inference(superposition,[],[f735,f122]) ).
fof(f735,plain,
( ! [X2,X0,X1] :
( ~ sP0(inverse(head(X1)),concatenate(X2,X1))
| ~ knows(head(X1))
| ~ knows(inverse(head(X1)))
| knows(sign(concatenate(kgen(head(X1)),concatenate(X0,eol)),inverse(k_s)))
| ~ knows(X0) )
| ~ spl1_96 ),
inference(avatar_component_clause,[],[f734]) ).
fof(f1021,plain,
( spl1_90
| ~ spl1_8
| ~ spl1_83 ),
inference(avatar_split_clause,[],[f967,f643,f121,f699]) ).
fof(f699,plain,
( spl1_90
<=> ! [X0,X3,X2,X1] :
( ~ knows(X0)
| ~ knows(X1)
| knows(encrypt(sign(concatenate(kgen(X0),concatenate(X1,eol)),inverse(k_s)),X0))
| ~ sP0(inverse(X0),concatenate(X2,concatenate(X0,X3))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_90])]) ).
fof(f643,plain,
( spl1_83
<=> ! [X2,X0,X1] :
( ~ knows(head(X0))
| ~ knows(X1)
| knows(encrypt(sign(concatenate(kgen(head(X0)),concatenate(X1,eol)),inverse(k_s)),head(X0)))
| ~ sP0(inverse(head(X0)),concatenate(X2,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_83])]) ).
fof(f967,plain,
( ! [X2,X3,X0,X1] :
( ~ sP0(inverse(X0),concatenate(X2,concatenate(X0,X1)))
| ~ knows(X3)
| knows(encrypt(sign(concatenate(kgen(X0),concatenate(X3,eol)),inverse(k_s)),X0))
| ~ knows(X0) )
| ~ spl1_8
| ~ spl1_83 ),
inference(superposition,[],[f644,f122]) ).
fof(f644,plain,
( ! [X2,X0,X1] :
( ~ sP0(inverse(head(X0)),concatenate(X2,X0))
| ~ knows(X1)
| knows(encrypt(sign(concatenate(kgen(head(X0)),concatenate(X1,eol)),inverse(k_s)),head(X0)))
| ~ knows(head(X0)) )
| ~ spl1_83 ),
inference(avatar_component_clause,[],[f643]) ).
fof(f1019,plain,
( spl1_88
| ~ spl1_8
| ~ spl1_70 ),
inference(avatar_split_clause,[],[f964,f521,f121,f675]) ).
fof(f675,plain,
( spl1_88
<=> ! [X0,X3,X2,X1] :
( knows(concatenate(encrypt(sign(concatenate(kgen(X0),concatenate(X1,eol)),inverse(k_s)),X0),sign(concatenate(s,concatenate(k_s,eol)),inverse(k_ca))))
| ~ knows(X0)
| ~ knows(X1)
| ~ sP0(inverse(X0),concatenate(X2,concatenate(X0,X3))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_88])]) ).
fof(f521,plain,
( spl1_70
<=> ! [X2,X0,X1] :
( knows(concatenate(encrypt(sign(concatenate(kgen(head(X0)),concatenate(X1,eol)),inverse(k_s)),head(X0)),sign(concatenate(s,concatenate(k_s,eol)),inverse(k_ca))))
| ~ knows(head(X0))
| ~ knows(X1)
| ~ sP0(inverse(head(X0)),concatenate(X2,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_70])]) ).
fof(f964,plain,
( ! [X2,X3,X0,X1] :
( ~ sP0(inverse(X0),concatenate(X2,concatenate(X0,X1)))
| ~ knows(X0)
| ~ knows(X3)
| knows(concatenate(encrypt(sign(concatenate(kgen(X0),concatenate(X3,eol)),inverse(k_s)),X0),sign(concatenate(s,concatenate(k_s,eol)),inverse(k_ca)))) )
| ~ spl1_8
| ~ spl1_70 ),
inference(superposition,[],[f522,f122]) ).
fof(f522,plain,
( ! [X2,X0,X1] :
( ~ sP0(inverse(head(X0)),concatenate(X2,X0))
| ~ knows(head(X0))
| ~ knows(X1)
| knows(concatenate(encrypt(sign(concatenate(kgen(head(X0)),concatenate(X1,eol)),inverse(k_s)),head(X0)),sign(concatenate(s,concatenate(k_s,eol)),inverse(k_ca)))) )
| ~ spl1_70 ),
inference(avatar_component_clause,[],[f521]) ).
fof(f1018,plain,
( spl1_49
| spl1_122
| ~ spl1_10
| ~ spl1_112 ),
inference(avatar_split_clause,[],[f835,f828,f129,f1016,f334]) ).
fof(f835,plain,
( ! [X0,X1] :
( ~ knows(inverse(head(tail(X0))))
| ~ knows(X0)
| ~ knows(X1)
| ~ knows(head(tail(X0)))
| knows(kgen(head(tail(X0)))) )
| ~ spl1_10
| ~ spl1_112 ),
inference(resolution,[],[f829,f130]) ).
fof(f1014,plain,
( spl1_121
| ~ spl1_20
| ~ spl1_82 ),
inference(avatar_split_clause,[],[f955,f636,f171,f1012]) ).
fof(f1012,plain,
( spl1_121
<=> ! [X2,X0,X1] :
( ~ knows(X0)
| ~ knows(inverse(X0))
| ~ knows(concatenate(X1,concatenate(X0,X2))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_121])]) ).
fof(f636,plain,
( spl1_82
<=> ! [X2,X0,X1] :
( ~ sP0(inverse(X0),concatenate(X2,concatenate(X0,X1)))
| ~ knows(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_82])]) ).
fof(f955,plain,
( ! [X2,X0,X1] :
( ~ knows(X0)
| ~ knows(inverse(X0))
| ~ knows(concatenate(X1,concatenate(X0,X2))) )
| ~ spl1_20
| ~ spl1_82 ),
inference(resolution,[],[f637,f172]) ).
fof(f637,plain,
( ! [X2,X0,X1] :
( ~ sP0(inverse(X0),concatenate(X2,concatenate(X0,X1)))
| ~ knows(X0) )
| ~ spl1_82 ),
inference(avatar_component_clause,[],[f636]) ).
fof(f1007,plain,
( spl1_96
| ~ spl1_19
| ~ spl1_81 ),
inference(avatar_split_clause,[],[f953,f632,f167,f734]) ).
fof(f632,plain,
( spl1_81
<=> ! [X2,X0,X1] :
( ~ knows(sign(concatenate(X0,X1),inverse(head(X1))))
| ~ knows(X2)
| ~ knows(head(X1))
| ~ knows(inverse(head(X1)))
| knows(sign(concatenate(kgen(head(X1)),concatenate(X2,eol)),inverse(k_s))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_81])]) ).
fof(f953,plain,
( ! [X2,X0,X1] :
( ~ knows(X0)
| ~ knows(head(X1))
| ~ knows(inverse(head(X1)))
| knows(sign(concatenate(kgen(head(X1)),concatenate(X0,eol)),inverse(k_s)))
| ~ sP0(inverse(head(X1)),concatenate(X2,X1)) )
| ~ spl1_19
| ~ spl1_81 ),
inference(resolution,[],[f633,f168]) ).
fof(f633,plain,
( ! [X2,X0,X1] :
( ~ knows(sign(concatenate(X0,X1),inverse(head(X1))))
| ~ knows(X2)
| ~ knows(head(X1))
| ~ knows(inverse(head(X1)))
| knows(sign(concatenate(kgen(head(X1)),concatenate(X2,eol)),inverse(k_s))) )
| ~ spl1_81 ),
inference(avatar_component_clause,[],[f632]) ).
fof(f965,plain,
( spl1_83
| ~ spl1_19
| ~ spl1_63 ),
inference(avatar_split_clause,[],[f944,f482,f167,f643]) ).
fof(f482,plain,
( spl1_63
<=> ! [X2,X0,X1] :
( knows(encrypt(sign(concatenate(kgen(head(X1)),concatenate(X2,eol)),inverse(k_s)),head(X1)))
| ~ knows(head(X1))
| ~ knows(X2)
| ~ knows(sign(concatenate(X0,X1),inverse(head(X1)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_63])]) ).
fof(f944,plain,
( ! [X2,X0,X1] :
( ~ knows(head(X0))
| ~ knows(X1)
| knows(encrypt(sign(concatenate(kgen(head(X0)),concatenate(X1,eol)),inverse(k_s)),head(X0)))
| ~ sP0(inverse(head(X0)),concatenate(X2,X0)) )
| ~ spl1_19
| ~ spl1_63 ),
inference(resolution,[],[f483,f168]) ).
fof(f483,plain,
( ! [X2,X0,X1] :
( ~ knows(sign(concatenate(X0,X1),inverse(head(X1))))
| ~ knows(head(X1))
| ~ knows(X2)
| knows(encrypt(sign(concatenate(kgen(head(X1)),concatenate(X2,eol)),inverse(k_s)),head(X1))) )
| ~ spl1_63 ),
inference(avatar_component_clause,[],[f482]) ).
fof(f960,plain,
( spl1_70
| ~ spl1_19
| ~ spl1_61 ),
inference(avatar_split_clause,[],[f940,f469,f167,f521]) ).
fof(f469,plain,
( spl1_61
<=> ! [X2,X0,X1] :
( knows(concatenate(encrypt(sign(concatenate(kgen(head(X0)),concatenate(X1,eol)),inverse(k_s)),head(X0)),sign(concatenate(s,concatenate(k_s,eol)),inverse(k_ca))))
| ~ knows(sign(concatenate(X2,X0),inverse(head(X0))))
| ~ knows(head(X0))
| ~ knows(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_61])]) ).
fof(f940,plain,
( ! [X2,X0,X1] :
( knows(concatenate(encrypt(sign(concatenate(kgen(head(X0)),concatenate(X1,eol)),inverse(k_s)),head(X0)),sign(concatenate(s,concatenate(k_s,eol)),inverse(k_ca))))
| ~ knows(head(X0))
| ~ knows(X1)
| ~ sP0(inverse(head(X0)),concatenate(X2,X0)) )
| ~ spl1_19
| ~ spl1_61 ),
inference(resolution,[],[f470,f168]) ).
fof(f470,plain,
( ! [X2,X0,X1] :
( ~ knows(sign(concatenate(X2,X0),inverse(head(X0))))
| knows(concatenate(encrypt(sign(concatenate(kgen(head(X0)),concatenate(X1,eol)),inverse(k_s)),head(X0)),sign(concatenate(s,concatenate(k_s,eol)),inverse(k_ca))))
| ~ knows(head(X0))
| ~ knows(X1) )
| ~ spl1_61 ),
inference(avatar_component_clause,[],[f469]) ).
fof(f959,plain,
( spl1_120
| ~ spl1_20
| ~ spl1_76 ),
inference(avatar_split_clause,[],[f598,f582,f171,f957]) ).
fof(f582,plain,
( spl1_76
<=> ! [X0,X1] :
( ~ sP0(inverse(head(X1)),concatenate(X0,X1))
| ~ knows(head(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_76])]) ).
fof(f598,plain,
( ! [X0,X1] :
( ~ knows(head(X0))
| ~ knows(inverse(head(X0)))
| ~ knows(concatenate(X1,X0)) )
| ~ spl1_20
| ~ spl1_76 ),
inference(resolution,[],[f583,f172]) ).
fof(f583,plain,
( ! [X0,X1] :
( ~ sP0(inverse(head(X1)),concatenate(X0,X1))
| ~ knows(head(X1)) )
| ~ spl1_76 ),
inference(avatar_component_clause,[],[f582]) ).
fof(f952,plain,
( spl1_81
| ~ spl1_9
| ~ spl1_67 ),
inference(avatar_split_clause,[],[f930,f503,f125,f632]) ).
fof(f503,plain,
( spl1_67
<=> ! [X0,X1] :
( ~ knows(head(tail(X0)))
| ~ knows(X1)
| ~ knows(sign(X0,inverse(head(tail(X0)))))
| ~ knows(inverse(head(tail(X0))))
| knows(sign(concatenate(kgen(head(tail(X0))),concatenate(X1,eol)),inverse(k_s))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_67])]) ).
fof(f930,plain,
( ! [X2,X0,X1] :
( ~ knows(sign(concatenate(X0,X1),inverse(head(X1))))
| ~ knows(X2)
| ~ knows(head(X1))
| ~ knows(inverse(head(X1)))
| knows(sign(concatenate(kgen(head(X1)),concatenate(X2,eol)),inverse(k_s))) )
| ~ spl1_9
| ~ spl1_67 ),
inference(superposition,[],[f504,f126]) ).
fof(f504,plain,
( ! [X0,X1] :
( ~ knows(sign(X0,inverse(head(tail(X0)))))
| ~ knows(X1)
| ~ knows(head(tail(X0)))
| ~ knows(inverse(head(tail(X0))))
| knows(sign(concatenate(kgen(head(tail(X0))),concatenate(X1,eol)),inverse(k_s))) )
| ~ spl1_67 ),
inference(avatar_component_clause,[],[f503]) ).
fof(f943,plain,
( spl1_63
| ~ spl1_9
| ~ spl1_60 ),
inference(avatar_split_clause,[],[f924,f463,f125,f482]) ).
fof(f463,plain,
( spl1_60
<=> ! [X0,X1] :
( ~ knows(sign(X0,inverse(head(tail(X0)))))
| ~ knows(head(tail(X0)))
| ~ knows(X1)
| knows(encrypt(sign(concatenate(kgen(head(tail(X0))),concatenate(X1,eol)),inverse(k_s)),head(tail(X0)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_60])]) ).
fof(f924,plain,
( ! [X2,X0,X1] :
( knows(encrypt(sign(concatenate(kgen(head(X1)),concatenate(X2,eol)),inverse(k_s)),head(X1)))
| ~ knows(head(X1))
| ~ knows(X2)
| ~ knows(sign(concatenate(X0,X1),inverse(head(X1)))) )
| ~ spl1_9
| ~ spl1_60 ),
inference(superposition,[],[f464,f126]) ).
fof(f464,plain,
( ! [X0,X1] :
( knows(encrypt(sign(concatenate(kgen(head(tail(X0))),concatenate(X1,eol)),inverse(k_s)),head(tail(X0))))
| ~ knows(head(tail(X0)))
| ~ knows(X1)
| ~ knows(sign(X0,inverse(head(tail(X0))))) )
| ~ spl1_60 ),
inference(avatar_component_clause,[],[f463]) ).
fof(f942,plain,
( spl1_71
| ~ spl1_21
| ~ spl1_75 ),
inference(avatar_split_clause,[],[f614,f576,f177,f527]) ).
fof(f527,plain,
( spl1_71
<=> knows(concatenate(k_s,eol)) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_71])]) ).
fof(f177,plain,
( spl1_21
<=> ! [X0,X1] :
( ~ sP0(X0,X1)
| knows(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_21])]) ).
fof(f576,plain,
( spl1_75
<=> sP0(concatenate(k_s,eol),s) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_75])]) ).
fof(f614,plain,
( knows(concatenate(k_s,eol))
| ~ spl1_21
| ~ spl1_75 ),
inference(resolution,[],[f577,f178]) ).
fof(f178,plain,
( ! [X0,X1] :
( ~ sP0(X0,X1)
| knows(X0) )
| ~ spl1_21 ),
inference(avatar_component_clause,[],[f177]) ).
fof(f577,plain,
( sP0(concatenate(k_s,eol),s)
| ~ spl1_75 ),
inference(avatar_component_clause,[],[f576]) ).
fof(f939,plain,
( spl1_61
| ~ spl1_9
| ~ spl1_47 ),
inference(avatar_split_clause,[],[f921,f321,f125,f469]) ).
fof(f321,plain,
( spl1_47
<=> ! [X0,X1] :
( knows(concatenate(encrypt(sign(concatenate(kgen(head(tail(X0))),concatenate(X1,eol)),inverse(k_s)),head(tail(X0))),sign(concatenate(s,concatenate(k_s,eol)),inverse(k_ca))))
| ~ knows(sign(X0,inverse(head(tail(X0)))))
| ~ knows(head(tail(X0)))
| ~ knows(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_47])]) ).
fof(f921,plain,
( ! [X2,X0,X1] :
( knows(concatenate(encrypt(sign(concatenate(kgen(head(X1)),concatenate(X2,eol)),inverse(k_s)),head(X1)),sign(concatenate(s,concatenate(k_s,eol)),inverse(k_ca))))
| ~ knows(sign(concatenate(X0,X1),inverse(head(X1))))
| ~ knows(head(X1))
| ~ knows(X2) )
| ~ spl1_9
| ~ spl1_47 ),
inference(superposition,[],[f322,f126]) ).
fof(f322,plain,
( ! [X0,X1] :
( knows(concatenate(encrypt(sign(concatenate(kgen(head(tail(X0))),concatenate(X1,eol)),inverse(k_s)),head(tail(X0))),sign(concatenate(s,concatenate(k_s,eol)),inverse(k_ca))))
| ~ knows(sign(X0,inverse(head(tail(X0)))))
| ~ knows(head(tail(X0)))
| ~ knows(X1) )
| ~ spl1_47 ),
inference(avatar_component_clause,[],[f321]) ).
fof(f938,plain,
( ~ spl1_40
| ~ spl1_41
| ~ spl1_77 ),
inference(avatar_split_clause,[],[f933,f601,f286,f281]) ).
fof(f286,plain,
( spl1_41
<=> knows(sign(concatenate(c,concatenate(k_c,eol)),inverse(k_c))) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_41])]) ).
fof(f601,plain,
( spl1_77
<=> ! [X2,X0,X1] :
( ~ knows(sign(concatenate(X2,concatenate(X0,X1)),inverse(X0)))
| ~ knows(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_77])]) ).
fof(f933,plain,
( ~ knows(k_c)
| ~ spl1_41
| ~ spl1_77 ),
inference(resolution,[],[f602,f288]) ).
fof(f288,plain,
( knows(sign(concatenate(c,concatenate(k_c,eol)),inverse(k_c)))
| ~ spl1_41 ),
inference(avatar_component_clause,[],[f286]) ).
fof(f602,plain,
( ! [X2,X0,X1] :
( ~ knows(sign(concatenate(X2,concatenate(X0,X1)),inverse(X0)))
| ~ knows(X0) )
| ~ spl1_77 ),
inference(avatar_component_clause,[],[f601]) ).
fof(f906,plain,
( spl1_119
| ~ spl1_20
| ~ spl1_59 ),
inference(avatar_split_clause,[],[f535,f454,f171,f891]) ).
fof(f454,plain,
( spl1_59
<=> ! [X0] :
( ~ knows(head(tail(X0)))
| ~ sP0(inverse(head(tail(X0))),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_59])]) ).
fof(f535,plain,
( ! [X0] :
( ~ knows(head(tail(X0)))
| ~ knows(inverse(head(tail(X0))))
| ~ knows(X0) )
| ~ spl1_20
| ~ spl1_59 ),
inference(resolution,[],[f455,f172]) ).
fof(f455,plain,
( ! [X0] :
( ~ sP0(inverse(head(tail(X0))),X0)
| ~ knows(head(tail(X0))) )
| ~ spl1_59 ),
inference(avatar_component_clause,[],[f454]) ).
fof(f893,plain,
( spl1_118
| spl1_119
| ~ spl1_11
| ~ spl1_112 ),
inference(avatar_split_clause,[],[f834,f828,f133,f891,f888]) ).
fof(f133,plain,
( spl1_11
<=> ! [X0,X1] :
( knows(X1)
| ~ knows(concatenate(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_11])]) ).
fof(f834,plain,
( ! [X0,X1] :
( ~ knows(inverse(head(tail(X0))))
| ~ knows(X0)
| ~ knows(X1)
| ~ knows(head(tail(X0)))
| knows(concatenate(X1,eol)) )
| ~ spl1_11
| ~ spl1_112 ),
inference(resolution,[],[f829,f134]) ).
fof(f134,plain,
( ! [X0,X1] :
( ~ knows(concatenate(X0,X1))
| knows(X1) )
| ~ spl1_11 ),
inference(avatar_component_clause,[],[f133]) ).
fof(f886,plain,
( spl1_117
| ~ spl1_99 ),
inference(avatar_split_clause,[],[f770,f763,f884]) ).
fof(f763,plain,
( spl1_99
<=> ! [X4,X0,X3,X2,X1] :
( n != X0
| knows(symmetric_encrypt(secret,X2))
| s != X3
| ~ knows(sign(concatenate(X3,X4),inverse(k_ca)))
| ~ knows(encrypt(sign(concatenate(X2,concatenate(X0,X1)),inverse(head(X4))),k_c)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_99])]) ).
fof(f770,plain,
( ! [X2,X3,X0,X1] :
( knows(symmetric_encrypt(secret,X0))
| n != X1
| ~ knows(sign(concatenate(s,X2),inverse(k_ca)))
| ~ knows(encrypt(sign(concatenate(X0,concatenate(X1,X3)),inverse(head(X2))),k_c)) )
| ~ spl1_99 ),
inference(equality_resolution,[],[f764]) ).
fof(f764,plain,
( ! [X2,X3,X0,X1,X4] :
( s != X3
| knows(symmetric_encrypt(secret,X2))
| n != X0
| ~ knows(sign(concatenate(X3,X4),inverse(k_ca)))
| ~ knows(encrypt(sign(concatenate(X2,concatenate(X0,X1)),inverse(head(X4))),k_c)) )
| ~ spl1_99 ),
inference(avatar_component_clause,[],[f763]) ).
fof(f882,plain,
( spl1_116
| ~ spl1_13
| ~ spl1_95 ),
inference(avatar_split_clause,[],[f737,f730,f143,f880]) ).
fof(f880,plain,
( spl1_116
<=> ! [X2,X0,X1] :
( knows(encrypt(sign(concatenate(kgen(head(X0)),concatenate(X1,eol)),inverse(k_s)),head(X0)))
| ~ knows(head(X0))
| ~ knows(inverse(head(X0)))
| ~ knows(X1)
| ~ sP0(X0,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_116])]) ).
fof(f730,plain,
( spl1_95
<=> ! [X2,X0,X1] :
( ~ knows(X0)
| knows(encrypt(sign(concatenate(kgen(head(X1)),concatenate(X0,eol)),inverse(k_s)),head(X1)))
| ~ knows(head(X1))
| ~ knows(inverse(head(X1)))
| ~ knows(concatenate(X2,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_95])]) ).
fof(f737,plain,
( ! [X2,X0,X1] :
( knows(encrypt(sign(concatenate(kgen(head(X0)),concatenate(X1,eol)),inverse(k_s)),head(X0)))
| ~ knows(head(X0))
| ~ knows(inverse(head(X0)))
| ~ knows(X1)
| ~ sP0(X0,X2) )
| ~ spl1_13
| ~ spl1_95 ),
inference(resolution,[],[f731,f144]) ).
fof(f731,plain,
( ! [X2,X0,X1] :
( ~ knows(concatenate(X2,X1))
| knows(encrypt(sign(concatenate(kgen(head(X1)),concatenate(X0,eol)),inverse(k_s)),head(X1)))
| ~ knows(head(X1))
| ~ knows(inverse(head(X1)))
| ~ knows(X0) )
| ~ spl1_95 ),
inference(avatar_component_clause,[],[f730]) ).
fof(f870,plain,
( spl1_115
| ~ spl1_19
| ~ spl1_94 ),
inference(avatar_split_clause,[],[f727,f722,f167,f868]) ).
fof(f722,plain,
( spl1_94
<=> ! [X0,X3,X2,X1] :
( ~ knows(sign(concatenate(X2,concatenate(X0,X1)),inverse(X0)))
| ~ knows(X3)
| ~ knows(X0)
| ~ knows(inverse(X0))
| knows(sign(concatenate(kgen(X0),concatenate(X3,eol)),inverse(k_s))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_94])]) ).
fof(f727,plain,
( ! [X2,X3,X0,X1] :
( ~ knows(X0)
| ~ knows(X1)
| ~ knows(inverse(X1))
| knows(sign(concatenate(kgen(X1),concatenate(X0,eol)),inverse(k_s)))
| ~ sP0(inverse(X1),concatenate(X2,concatenate(X1,X3))) )
| ~ spl1_19
| ~ spl1_94 ),
inference(resolution,[],[f723,f168]) ).
fof(f723,plain,
( ! [X2,X3,X0,X1] :
( ~ knows(sign(concatenate(X2,concatenate(X0,X1)),inverse(X0)))
| ~ knows(X3)
| ~ knows(X0)
| ~ knows(inverse(X0))
| knows(sign(concatenate(kgen(X0),concatenate(X3,eol)),inverse(k_s))) )
| ~ spl1_94 ),
inference(avatar_component_clause,[],[f722]) ).
fof(f866,plain,
( spl1_114
| ~ spl1_20
| ~ spl1_90 ),
inference(avatar_split_clause,[],[f702,f699,f171,f864]) ).
fof(f702,plain,
( ! [X2,X3,X0,X1] :
( ~ knows(X0)
| knows(encrypt(sign(concatenate(kgen(X1),concatenate(X0,eol)),inverse(k_s)),X1))
| ~ knows(X1)
| ~ knows(inverse(X1))
| ~ knows(concatenate(X2,concatenate(X1,X3))) )
| ~ spl1_20
| ~ spl1_90 ),
inference(resolution,[],[f700,f172]) ).
fof(f700,plain,
( ! [X2,X3,X0,X1] :
( ~ sP0(inverse(X0),concatenate(X2,concatenate(X0,X3)))
| ~ knows(X1)
| knows(encrypt(sign(concatenate(kgen(X0),concatenate(X1,eol)),inverse(k_s)),X0))
| ~ knows(X0) )
| ~ spl1_90 ),
inference(avatar_component_clause,[],[f699]) ).
fof(f845,plain,
( spl1_113
| ~ spl1_9
| ~ spl1_91 ),
inference(avatar_split_clause,[],[f718,f704,f125,f843]) ).
fof(f718,plain,
( ! [X2,X0,X1] :
( knows(sign(concatenate(kgen(head(X1)),concatenate(X2,eol)),inverse(k_s)))
| ~ knows(inverse(head(X1)))
| ~ knows(head(X1))
| ~ knows(X2)
| ~ knows(concatenate(X0,X1)) )
| ~ spl1_9
| ~ spl1_91 ),
inference(superposition,[],[f705,f126]) ).
fof(f830,plain,
( ~ spl1_74
| spl1_112
| ~ spl1_28
| ~ spl1_91 ),
inference(avatar_split_clause,[],[f717,f704,f209,f828,f564]) ).
fof(f717,plain,
( ! [X0,X1] :
( ~ knows(inverse(head(tail(X0))))
| ~ knows(head(tail(X0)))
| ~ knows(X1)
| ~ knows(X0)
| ~ knows(k_s)
| knows(concatenate(kgen(head(tail(X0))),concatenate(X1,eol))) )
| ~ spl1_28
| ~ spl1_91 ),
inference(resolution,[],[f705,f210]) ).
fof(f826,plain,
( ~ spl1_48
| ~ spl1_5
| spl1_109 ),
inference(avatar_split_clause,[],[f824,f813,f109,f330]) ).
fof(f109,plain,
( spl1_5
<=> ! [X0] :
( knows(head(X0))
| ~ knows(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_5])]) ).
fof(f813,plain,
( spl1_109
<=> knows(head(sign(concatenate(s,concatenate(k_s,eol)),inverse(k_ca)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_109])]) ).
fof(f824,plain,
( ~ knows(sign(concatenate(s,concatenate(k_s,eol)),inverse(k_ca)))
| ~ spl1_5
| spl1_109 ),
inference(resolution,[],[f815,f110]) ).
fof(f110,plain,
( ! [X0] :
( knows(head(X0))
| ~ knows(X0) )
| ~ spl1_5 ),
inference(avatar_component_clause,[],[f109]) ).
fof(f815,plain,
( ~ knows(head(sign(concatenate(s,concatenate(k_s,eol)),inverse(k_ca))))
| spl1_109 ),
inference(avatar_component_clause,[],[f813]) ).
fof(f825,plain,
( ~ spl1_41
| ~ spl1_5
| spl1_106 ),
inference(avatar_split_clause,[],[f811,f800,f109,f286]) ).
fof(f800,plain,
( spl1_106
<=> knows(head(sign(concatenate(c,concatenate(k_c,eol)),inverse(k_c)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_106])]) ).
fof(f811,plain,
( ~ knows(sign(concatenate(c,concatenate(k_c,eol)),inverse(k_c)))
| ~ spl1_5
| spl1_106 ),
inference(resolution,[],[f802,f110]) ).
fof(f802,plain,
( ~ knows(head(sign(concatenate(c,concatenate(k_c,eol)),inverse(k_c))))
| spl1_106 ),
inference(avatar_component_clause,[],[f800]) ).
fof(f823,plain,
( spl1_49
| ~ spl1_109
| ~ spl1_110
| spl1_111
| ~ spl1_79
| ~ spl1_89 ),
inference(avatar_split_clause,[],[f685,f680,f620,f821,f817,f813,f334]) ).
fof(f817,plain,
( spl1_110
<=> knows(inverse(head(sign(concatenate(s,concatenate(k_s,eol)),inverse(k_ca))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_110])]) ).
fof(f821,plain,
( spl1_111
<=> ! [X0] :
( ~ knows(X0)
| knows(concatenate(encrypt(sign(concatenate(kgen(head(sign(concatenate(s,concatenate(k_s,eol)),inverse(k_ca)))),concatenate(X0,eol)),inverse(k_s)),head(sign(concatenate(s,concatenate(k_s,eol)),inverse(k_ca)))),sign(concatenate(s,concatenate(k_s,eol)),inverse(k_ca)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_111])]) ).
fof(f620,plain,
( spl1_79
<=> ! [X0] :
( knows(concatenate(encrypt(sign(concatenate(kgen(k_c),concatenate(X0,eol)),inverse(k_s)),k_c),sign(concatenate(s,concatenate(k_s,eol)),inverse(k_ca))))
| ~ knows(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_79])]) ).
fof(f680,plain,
( spl1_89
<=> ! [X2,X0,X1] :
( ~ knows(head(X0))
| ~ knows(X1)
| knows(concatenate(encrypt(sign(concatenate(kgen(head(X0)),concatenate(X1,eol)),inverse(k_s)),head(X0)),sign(concatenate(s,concatenate(k_s,eol)),inverse(k_ca))))
| ~ knows(inverse(head(X0)))
| ~ knows(concatenate(X2,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_89])]) ).
fof(f685,plain,
( ! [X0,X1] :
( ~ knows(X0)
| knows(concatenate(encrypt(sign(concatenate(kgen(head(sign(concatenate(s,concatenate(k_s,eol)),inverse(k_ca)))),concatenate(X0,eol)),inverse(k_s)),head(sign(concatenate(s,concatenate(k_s,eol)),inverse(k_ca)))),sign(concatenate(s,concatenate(k_s,eol)),inverse(k_ca))))
| ~ knows(inverse(head(sign(concatenate(s,concatenate(k_s,eol)),inverse(k_ca)))))
| ~ knows(head(sign(concatenate(s,concatenate(k_s,eol)),inverse(k_ca))))
| ~ knows(X1) )
| ~ spl1_79
| ~ spl1_89 ),
inference(resolution,[],[f681,f621]) ).
fof(f621,plain,
( ! [X0] :
( knows(concatenate(encrypt(sign(concatenate(kgen(k_c),concatenate(X0,eol)),inverse(k_s)),k_c),sign(concatenate(s,concatenate(k_s,eol)),inverse(k_ca))))
| ~ knows(X0) )
| ~ spl1_79 ),
inference(avatar_component_clause,[],[f620]) ).
fof(f681,plain,
( ! [X2,X0,X1] :
( ~ knows(concatenate(X2,X0))
| ~ knows(X1)
| knows(concatenate(encrypt(sign(concatenate(kgen(head(X0)),concatenate(X1,eol)),inverse(k_s)),head(X0)),sign(concatenate(s,concatenate(k_s,eol)),inverse(k_ca))))
| ~ knows(inverse(head(X0)))
| ~ knows(head(X0)) )
| ~ spl1_89 ),
inference(avatar_component_clause,[],[f680]) ).
fof(f810,plain,
( ~ spl1_106
| ~ spl1_107
| spl1_108
| ~ spl1_36
| ~ spl1_89 ),
inference(avatar_split_clause,[],[f687,f680,f255,f808,f804,f800]) ).
fof(f804,plain,
( spl1_107
<=> knows(inverse(head(sign(concatenate(c,concatenate(k_c,eol)),inverse(k_c))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_107])]) ).
fof(f808,plain,
( spl1_108
<=> ! [X0] :
( ~ knows(X0)
| knows(concatenate(encrypt(sign(concatenate(kgen(head(sign(concatenate(c,concatenate(k_c,eol)),inverse(k_c)))),concatenate(X0,eol)),inverse(k_s)),head(sign(concatenate(c,concatenate(k_c,eol)),inverse(k_c)))),sign(concatenate(s,concatenate(k_s,eol)),inverse(k_ca)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_108])]) ).
fof(f255,plain,
( spl1_36
<=> knows(concatenate(k_c,sign(concatenate(c,concatenate(k_c,eol)),inverse(k_c)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_36])]) ).
fof(f687,plain,
( ! [X0] :
( ~ knows(X0)
| knows(concatenate(encrypt(sign(concatenate(kgen(head(sign(concatenate(c,concatenate(k_c,eol)),inverse(k_c)))),concatenate(X0,eol)),inverse(k_s)),head(sign(concatenate(c,concatenate(k_c,eol)),inverse(k_c)))),sign(concatenate(s,concatenate(k_s,eol)),inverse(k_ca))))
| ~ knows(inverse(head(sign(concatenate(c,concatenate(k_c,eol)),inverse(k_c)))))
| ~ knows(head(sign(concatenate(c,concatenate(k_c,eol)),inverse(k_c)))) )
| ~ spl1_36
| ~ spl1_89 ),
inference(resolution,[],[f681,f257]) ).
fof(f257,plain,
( knows(concatenate(k_c,sign(concatenate(c,concatenate(k_c,eol)),inverse(k_c))))
| ~ spl1_36 ),
inference(avatar_component_clause,[],[f255]) ).
fof(f798,plain,
( ~ spl1_58
| ~ spl1_5
| spl1_101 ),
inference(avatar_split_clause,[],[f784,f773,f109,f449]) ).
fof(f449,plain,
( spl1_58
<=> knows(eol) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_58])]) ).
fof(f773,plain,
( spl1_101
<=> knows(head(eol)) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_101])]) ).
fof(f784,plain,
( ~ knows(eol)
| ~ spl1_5
| spl1_101 ),
inference(resolution,[],[f775,f110]) ).
fof(f775,plain,
( ~ knows(head(eol))
| spl1_101 ),
inference(avatar_component_clause,[],[f773]) ).
fof(f796,plain,
( spl1_105
| ~ spl1_13
| ~ spl1_89 ),
inference(avatar_split_clause,[],[f683,f680,f143,f794]) ).
fof(f794,plain,
( spl1_105
<=> ! [X2,X0,X1] :
( ~ knows(X0)
| knows(concatenate(encrypt(sign(concatenate(kgen(head(X1)),concatenate(X0,eol)),inverse(k_s)),head(X1)),sign(concatenate(s,concatenate(k_s,eol)),inverse(k_ca))))
| ~ knows(inverse(head(X1)))
| ~ knows(head(X1))
| ~ sP0(X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_105])]) ).
fof(f683,plain,
( ! [X2,X0,X1] :
( ~ knows(X0)
| knows(concatenate(encrypt(sign(concatenate(kgen(head(X1)),concatenate(X0,eol)),inverse(k_s)),head(X1)),sign(concatenate(s,concatenate(k_s,eol)),inverse(k_ca))))
| ~ knows(inverse(head(X1)))
| ~ knows(head(X1))
| ~ sP0(X1,X2) )
| ~ spl1_13
| ~ spl1_89 ),
inference(resolution,[],[f681,f144]) ).
fof(f788,plain,
( spl1_104
| ~ spl1_20
| ~ spl1_88 ),
inference(avatar_split_clause,[],[f678,f675,f171,f786]) ).
fof(f678,plain,
( ! [X2,X3,X0,X1] :
( ~ knows(X0)
| ~ knows(X1)
| knows(concatenate(encrypt(sign(concatenate(kgen(X0),concatenate(X1,eol)),inverse(k_s)),X0),sign(concatenate(s,concatenate(k_s,eol)),inverse(k_ca))))
| ~ knows(inverse(X0))
| ~ knows(concatenate(X2,concatenate(X0,X3))) )
| ~ spl1_20
| ~ spl1_88 ),
inference(resolution,[],[f676,f172]) ).
fof(f676,plain,
( ! [X2,X3,X0,X1] :
( ~ sP0(inverse(X0),concatenate(X2,concatenate(X0,X3)))
| ~ knows(X0)
| ~ knows(X1)
| knows(concatenate(encrypt(sign(concatenate(kgen(X0),concatenate(X1,eol)),inverse(k_s)),X0),sign(concatenate(s,concatenate(k_s,eol)),inverse(k_ca)))) )
| ~ spl1_88 ),
inference(avatar_component_clause,[],[f675]) ).
fof(f783,plain,
( ~ spl1_101
| ~ spl1_102
| spl1_103
| ~ spl1_52
| ~ spl1_89 ),
inference(avatar_split_clause,[],[f688,f680,f395,f781,f777,f773]) ).
fof(f777,plain,
( spl1_102
<=> knows(inverse(head(eol))) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_102])]) ).
fof(f781,plain,
( spl1_103
<=> ! [X0] :
( ~ knows(X0)
| knows(concatenate(encrypt(sign(concatenate(kgen(head(eol)),concatenate(X0,eol)),inverse(k_s)),head(eol)),sign(concatenate(s,concatenate(k_s,eol)),inverse(k_ca)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_103])]) ).
fof(f395,plain,
( spl1_52
<=> knows(concatenate(k_c,eol)) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_52])]) ).
fof(f688,plain,
( ! [X0] :
( ~ knows(X0)
| knows(concatenate(encrypt(sign(concatenate(kgen(head(eol)),concatenate(X0,eol)),inverse(k_s)),head(eol)),sign(concatenate(s,concatenate(k_s,eol)),inverse(k_ca))))
| ~ knows(inverse(head(eol)))
| ~ knows(head(eol)) )
| ~ spl1_52
| ~ spl1_89 ),
inference(resolution,[],[f681,f397]) ).
fof(f397,plain,
( knows(concatenate(k_c,eol))
| ~ spl1_52 ),
inference(avatar_component_clause,[],[f395]) ).
fof(f769,plain,
( spl1_100
| ~ spl1_8
| ~ spl1_9
| ~ spl1_85 ),
inference(avatar_split_clause,[],[f670,f656,f125,f121,f767]) ).
fof(f656,plain,
( spl1_85
<=> ! [X0,X3,X2,X1] :
( n != head(tail(X0))
| s != X2
| knows(symmetric_encrypt(secret,head(X0)))
| ~ knows(sign(concatenate(X2,concatenate(X1,X3)),inverse(k_ca)))
| ~ knows(encrypt(sign(X0,inverse(X1)),k_c)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_85])]) ).
fof(f670,plain,
( ! [X2,X3,X0,X1,X4] :
( knows(symmetric_encrypt(secret,X0))
| n != head(X1)
| s != X2
| ~ knows(sign(concatenate(X2,concatenate(X3,X4)),inverse(k_ca)))
| ~ knows(encrypt(sign(concatenate(X0,X1),inverse(X3)),k_c)) )
| ~ spl1_8
| ~ spl1_9
| ~ spl1_85 ),
inference(forward_demodulation,[],[f669,f122]) ).
fof(f669,plain,
( ! [X2,X3,X0,X1,X4] :
( n != head(X1)
| s != X2
| knows(symmetric_encrypt(secret,head(concatenate(X0,X1))))
| ~ knows(sign(concatenate(X2,concatenate(X3,X4)),inverse(k_ca)))
| ~ knows(encrypt(sign(concatenate(X0,X1),inverse(X3)),k_c)) )
| ~ spl1_9
| ~ spl1_85 ),
inference(superposition,[],[f657,f126]) ).
fof(f657,plain,
( ! [X2,X3,X0,X1] :
( n != head(tail(X0))
| s != X2
| knows(symmetric_encrypt(secret,head(X0)))
| ~ knows(sign(concatenate(X2,concatenate(X1,X3)),inverse(k_ca)))
| ~ knows(encrypt(sign(X0,inverse(X1)),k_c)) )
| ~ spl1_85 ),
inference(avatar_component_clause,[],[f656]) ).
fof(f765,plain,
( spl1_99
| ~ spl1_8
| ~ spl1_80 ),
inference(avatar_split_clause,[],[f648,f628,f121,f763]) ).
fof(f628,plain,
( spl1_80
<=> ! [X0,X3,X2,X1] :
( knows(symmetric_encrypt(secret,X0))
| n != head(X1)
| s != X2
| ~ knows(sign(concatenate(X2,X3),inverse(k_ca)))
| ~ knows(encrypt(sign(concatenate(X0,X1),inverse(head(X3))),k_c)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_80])]) ).
fof(f648,plain,
( ! [X2,X3,X0,X1,X4] :
( n != X0
| knows(symmetric_encrypt(secret,X2))
| s != X3
| ~ knows(sign(concatenate(X3,X4),inverse(k_ca)))
| ~ knows(encrypt(sign(concatenate(X2,concatenate(X0,X1)),inverse(head(X4))),k_c)) )
| ~ spl1_8
| ~ spl1_80 ),
inference(superposition,[],[f629,f122]) ).
fof(f629,plain,
( ! [X2,X3,X0,X1] :
( n != head(X1)
| knows(symmetric_encrypt(secret,X0))
| s != X2
| ~ knows(sign(concatenate(X2,X3),inverse(k_ca)))
| ~ knows(encrypt(sign(concatenate(X0,X1),inverse(head(X3))),k_c)) )
| ~ spl1_80 ),
inference(avatar_component_clause,[],[f628]) ).
fof(f761,plain,
( spl1_97
| ~ spl1_98
| ~ spl1_74
| ~ spl1_8
| ~ spl1_62
| ~ spl1_89 ),
inference(avatar_split_clause,[],[f696,f680,f475,f121,f564,f758,f755]) ).
fof(f758,plain,
( spl1_98
<=> knows(inverse(k_s)) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_98])]) ).
fof(f696,plain,
( ! [X0] :
( ~ knows(k_s)
| ~ knows(inverse(k_s))
| knows(concatenate(encrypt(sign(concatenate(kgen(k_s),concatenate(X0,eol)),inverse(k_s)),k_s),sign(concatenate(s,concatenate(k_s,eol)),inverse(k_ca))))
| ~ knows(X0) )
| ~ spl1_8
| ~ spl1_62
| ~ spl1_89 ),
inference(forward_demodulation,[],[f695,f122]) ).
fof(f695,plain,
( ! [X0] :
( ~ knows(inverse(k_s))
| knows(concatenate(encrypt(sign(concatenate(kgen(k_s),concatenate(X0,eol)),inverse(k_s)),k_s),sign(concatenate(s,concatenate(k_s,eol)),inverse(k_ca))))
| ~ knows(X0)
| ~ knows(head(concatenate(k_s,eol))) )
| ~ spl1_8
| ~ spl1_62
| ~ spl1_89 ),
inference(forward_demodulation,[],[f694,f122]) ).
fof(f694,plain,
( ! [X0] :
( knows(concatenate(encrypt(sign(concatenate(kgen(k_s),concatenate(X0,eol)),inverse(k_s)),k_s),sign(concatenate(s,concatenate(k_s,eol)),inverse(k_ca))))
| ~ knows(X0)
| ~ knows(inverse(head(concatenate(k_s,eol))))
| ~ knows(head(concatenate(k_s,eol))) )
| ~ spl1_8
| ~ spl1_62
| ~ spl1_89 ),
inference(forward_demodulation,[],[f690,f122]) ).
fof(f690,plain,
( ! [X0] :
( ~ knows(X0)
| knows(concatenate(encrypt(sign(concatenate(kgen(head(concatenate(k_s,eol))),concatenate(X0,eol)),inverse(k_s)),head(concatenate(k_s,eol))),sign(concatenate(s,concatenate(k_s,eol)),inverse(k_ca))))
| ~ knows(inverse(head(concatenate(k_s,eol))))
| ~ knows(head(concatenate(k_s,eol))) )
| ~ spl1_62
| ~ spl1_89 ),
inference(resolution,[],[f681,f477]) ).
fof(f736,plain,
( spl1_96
| ~ spl1_19
| ~ spl1_81 ),
inference(avatar_split_clause,[],[f649,f632,f167,f734]) ).
fof(f649,plain,
( ! [X2,X0,X1] :
( ~ knows(X0)
| ~ knows(head(X1))
| ~ knows(inverse(head(X1)))
| knows(sign(concatenate(kgen(head(X1)),concatenate(X0,eol)),inverse(k_s)))
| ~ sP0(inverse(head(X1)),concatenate(X2,X1)) )
| ~ spl1_19
| ~ spl1_81 ),
inference(resolution,[],[f633,f168]) ).
fof(f732,plain,
( spl1_95
| ~ spl1_20
| ~ spl1_83 ),
inference(avatar_split_clause,[],[f646,f643,f171,f730]) ).
fof(f646,plain,
( ! [X2,X0,X1] :
( ~ knows(X0)
| knows(encrypt(sign(concatenate(kgen(head(X1)),concatenate(X0,eol)),inverse(k_s)),head(X1)))
| ~ knows(head(X1))
| ~ knows(inverse(head(X1)))
| ~ knows(concatenate(X2,X1)) )
| ~ spl1_20
| ~ spl1_83 ),
inference(resolution,[],[f644,f172]) ).
fof(f724,plain,
( spl1_94
| ~ spl1_8
| ~ spl1_81 ),
inference(avatar_split_clause,[],[f650,f632,f121,f722]) ).
fof(f650,plain,
( ! [X2,X3,X0,X1] :
( ~ knows(sign(concatenate(X2,concatenate(X0,X1)),inverse(X0)))
| ~ knows(X3)
| ~ knows(X0)
| ~ knows(inverse(X0))
| knows(sign(concatenate(kgen(X0),concatenate(X3,eol)),inverse(k_s))) )
| ~ spl1_8
| ~ spl1_81 ),
inference(superposition,[],[f633,f122]) ).
fof(f714,plain,
( ~ spl1_92
| spl1_93
| ~ spl1_27
| ~ spl1_87 ),
inference(avatar_split_clause,[],[f697,f666,f205,f712,f708]) ).
fof(f708,plain,
( spl1_92
<=> knows(inverse(k_c)) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_92])]) ).
fof(f712,plain,
( spl1_93
<=> ! [X0] :
( ~ knows(X0)
| knows(sign(concatenate(kgen(k_c),concatenate(X0,eol)),inverse(k_s))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_93])]) ).
fof(f697,plain,
( ! [X0] :
( ~ knows(X0)
| ~ knows(inverse(k_c))
| knows(sign(concatenate(kgen(k_c),concatenate(X0,eol)),inverse(k_s))) )
| ~ spl1_27
| ~ spl1_87 ),
inference(resolution,[],[f667,f206]) ).
fof(f706,plain,
( spl1_91
| ~ spl1_20
| ~ spl1_86 ),
inference(avatar_split_clause,[],[f673,f660,f171,f704]) ).
fof(f660,plain,
( spl1_86
<=> ! [X0,X1] :
( ~ knows(X0)
| ~ knows(head(tail(X1)))
| ~ knows(inverse(head(tail(X1))))
| knows(sign(concatenate(kgen(head(tail(X1))),concatenate(X0,eol)),inverse(k_s)))
| ~ sP0(inverse(head(tail(X1))),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_86])]) ).
fof(f673,plain,
( ! [X0,X1] :
( ~ knows(head(tail(X0)))
| ~ knows(inverse(head(tail(X0))))
| knows(sign(concatenate(kgen(head(tail(X0))),concatenate(X1,eol)),inverse(k_s)))
| ~ knows(X1)
| ~ knows(X0) )
| ~ spl1_20
| ~ spl1_86 ),
inference(duplicate_literal_removal,[],[f671]) ).
fof(f671,plain,
( ! [X0,X1] :
( ~ knows(head(tail(X0)))
| ~ knows(inverse(head(tail(X0))))
| knows(sign(concatenate(kgen(head(tail(X0))),concatenate(X1,eol)),inverse(k_s)))
| ~ knows(X1)
| ~ knows(inverse(head(tail(X0))))
| ~ knows(X0) )
| ~ spl1_20
| ~ spl1_86 ),
inference(resolution,[],[f661,f172]) ).
fof(f661,plain,
( ! [X0,X1] :
( ~ sP0(inverse(head(tail(X1))),X1)
| ~ knows(head(tail(X1)))
| ~ knows(inverse(head(tail(X1))))
| knows(sign(concatenate(kgen(head(tail(X1))),concatenate(X0,eol)),inverse(k_s)))
| ~ knows(X0) )
| ~ spl1_86 ),
inference(avatar_component_clause,[],[f660]) ).
fof(f701,plain,
( spl1_90
| ~ spl1_19
| ~ spl1_78 ),
inference(avatar_split_clause,[],[f626,f616,f167,f699]) ).
fof(f626,plain,
( ! [X2,X3,X0,X1] :
( ~ knows(X0)
| ~ knows(X1)
| knows(encrypt(sign(concatenate(kgen(X0),concatenate(X1,eol)),inverse(k_s)),X0))
| ~ sP0(inverse(X0),concatenate(X2,concatenate(X0,X3))) )
| ~ spl1_19
| ~ spl1_78 ),
inference(resolution,[],[f617,f168]) ).
fof(f682,plain,
( spl1_89
| ~ spl1_20
| ~ spl1_70 ),
inference(avatar_split_clause,[],[f524,f521,f171,f680]) ).
fof(f524,plain,
( ! [X2,X0,X1] :
( ~ knows(head(X0))
| ~ knows(X1)
| knows(concatenate(encrypt(sign(concatenate(kgen(head(X0)),concatenate(X1,eol)),inverse(k_s)),head(X0)),sign(concatenate(s,concatenate(k_s,eol)),inverse(k_ca))))
| ~ knows(inverse(head(X0)))
| ~ knows(concatenate(X2,X0)) )
| ~ spl1_20
| ~ spl1_70 ),
inference(resolution,[],[f522,f172]) ).
fof(f677,plain,
( spl1_88
| ~ spl1_19
| ~ spl1_69 ),
inference(avatar_split_clause,[],[f612,f515,f167,f675]) ).
fof(f612,plain,
( ! [X2,X3,X0,X1] :
( knows(concatenate(encrypt(sign(concatenate(kgen(X0),concatenate(X1,eol)),inverse(k_s)),X0),sign(concatenate(s,concatenate(k_s,eol)),inverse(k_ca))))
| ~ knows(X0)
| ~ knows(X1)
| ~ sP0(inverse(X0),concatenate(X2,concatenate(X0,X3))) )
| ~ spl1_19
| ~ spl1_69 ),
inference(resolution,[],[f516,f168]) ).
fof(f668,plain,
( spl1_87
| ~ spl1_10
| ~ spl1_79 ),
inference(avatar_split_clause,[],[f624,f620,f129,f666]) ).
fof(f624,plain,
( ! [X0] :
( ~ knows(X0)
| knows(encrypt(sign(concatenate(kgen(k_c),concatenate(X0,eol)),inverse(k_s)),k_c)) )
| ~ spl1_10
| ~ spl1_79 ),
inference(resolution,[],[f621,f130]) ).
fof(f662,plain,
( spl1_86
| ~ spl1_19
| ~ spl1_67 ),
inference(avatar_split_clause,[],[f554,f503,f167,f660]) ).
fof(f554,plain,
( ! [X0,X1] :
( ~ knows(X0)
| ~ knows(head(tail(X1)))
| ~ knows(inverse(head(tail(X1))))
| knows(sign(concatenate(kgen(head(tail(X1))),concatenate(X0,eol)),inverse(k_s)))
| ~ sP0(inverse(head(tail(X1))),X1) )
| ~ spl1_19
| ~ spl1_67 ),
inference(resolution,[],[f504,f168]) ).
fof(f658,plain,
( spl1_85
| ~ spl1_23
| ~ spl1_66 ),
inference(avatar_split_clause,[],[f506,f499,f186,f656]) ).
fof(f186,plain,
( spl1_23
<=> ! [X0,X1] : extract(sign(X0,inverse(X1)),X1) = X0 ),
introduced(avatar_definition,[new_symbols(naming,[spl1_23])]) ).
fof(f499,plain,
( spl1_66
<=> ! [X0,X3,X2,X1] :
( n != head(tail(extract(X2,X0)))
| s != X3
| knows(symmetric_encrypt(secret,head(extract(X2,X0))))
| ~ knows(sign(concatenate(X3,concatenate(X0,X1)),inverse(k_ca)))
| ~ knows(encrypt(X2,k_c)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_66])]) ).
fof(f506,plain,
( ! [X2,X3,X0,X1] :
( n != head(tail(X0))
| s != X2
| knows(symmetric_encrypt(secret,head(X0)))
| ~ knows(sign(concatenate(X2,concatenate(X1,X3)),inverse(k_ca)))
| ~ knows(encrypt(sign(X0,inverse(X1)),k_c)) )
| ~ spl1_23
| ~ spl1_66 ),
inference(superposition,[],[f500,f187]) ).
fof(f187,plain,
( ! [X0,X1] : extract(sign(X0,inverse(X1)),X1) = X0
| ~ spl1_23 ),
inference(avatar_component_clause,[],[f186]) ).
fof(f500,plain,
( ! [X2,X3,X0,X1] :
( n != head(tail(extract(X2,X0)))
| s != X3
| knows(symmetric_encrypt(secret,head(extract(X2,X0))))
| ~ knows(sign(concatenate(X3,concatenate(X0,X1)),inverse(k_ca)))
| ~ knows(encrypt(X2,k_c)) )
| ~ spl1_66 ),
inference(avatar_component_clause,[],[f499]) ).
fof(f654,plain,
( spl1_84
| ~ spl1_8
| ~ spl1_64 ),
inference(avatar_split_clause,[],[f495,f488,f121,f652]) ).
fof(f652,plain,
( spl1_84
<=> ! [X0,X3,X2,X1] :
( n != X0
| knows(symmetric_encrypt(secret,X2))
| s != head(X3)
| ~ knows(sign(X3,inverse(k_ca)))
| ~ knows(encrypt(sign(concatenate(X2,concatenate(X0,X1)),inverse(head(tail(X3)))),k_c)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_84])]) ).
fof(f488,plain,
( spl1_64
<=> ! [X2,X0,X1] :
( knows(symmetric_encrypt(secret,X0))
| n != head(X1)
| head(X2) != s
| ~ knows(sign(X2,inverse(k_ca)))
| ~ knows(encrypt(sign(concatenate(X0,X1),inverse(head(tail(X2)))),k_c)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_64])]) ).
fof(f495,plain,
( ! [X2,X3,X0,X1] :
( n != X0
| knows(symmetric_encrypt(secret,X2))
| s != head(X3)
| ~ knows(sign(X3,inverse(k_ca)))
| ~ knows(encrypt(sign(concatenate(X2,concatenate(X0,X1)),inverse(head(tail(X3)))),k_c)) )
| ~ spl1_8
| ~ spl1_64 ),
inference(superposition,[],[f489,f122]) ).
fof(f489,plain,
( ! [X2,X0,X1] :
( n != head(X1)
| knows(symmetric_encrypt(secret,X0))
| head(X2) != s
| ~ knows(sign(X2,inverse(k_ca)))
| ~ knows(encrypt(sign(concatenate(X0,X1),inverse(head(tail(X2)))),k_c)) )
| ~ spl1_64 ),
inference(avatar_component_clause,[],[f488]) ).
fof(f645,plain,
( spl1_83
| ~ spl1_19
| ~ spl1_63 ),
inference(avatar_split_clause,[],[f609,f482,f167,f643]) ).
fof(f609,plain,
( ! [X2,X0,X1] :
( ~ knows(head(X0))
| ~ knows(X1)
| knows(encrypt(sign(concatenate(kgen(head(X0)),concatenate(X1,eol)),inverse(k_s)),head(X0)))
| ~ sP0(inverse(head(X0)),concatenate(X2,X0)) )
| ~ spl1_19
| ~ spl1_63 ),
inference(resolution,[],[f483,f168]) ).
fof(f639,plain,
( spl1_70
| ~ spl1_19
| ~ spl1_61 ),
inference(avatar_split_clause,[],[f605,f469,f167,f521]) ).
fof(f605,plain,
( ! [X2,X0,X1] :
( knows(concatenate(encrypt(sign(concatenate(kgen(head(X0)),concatenate(X1,eol)),inverse(k_s)),head(X0)),sign(concatenate(s,concatenate(k_s,eol)),inverse(k_ca))))
| ~ knows(head(X0))
| ~ knows(X1)
| ~ sP0(inverse(head(X0)),concatenate(X2,X0)) )
| ~ spl1_19
| ~ spl1_61 ),
inference(resolution,[],[f470,f168]) ).
fof(f638,plain,
( spl1_82
| ~ spl1_8
| ~ spl1_76 ),
inference(avatar_split_clause,[],[f599,f582,f121,f636]) ).
fof(f599,plain,
( ! [X2,X0,X1] :
( ~ sP0(inverse(X0),concatenate(X2,concatenate(X0,X1)))
| ~ knows(X0) )
| ~ spl1_8
| ~ spl1_76 ),
inference(superposition,[],[f583,f122]) ).
fof(f634,plain,
( spl1_81
| ~ spl1_9
| ~ spl1_67 ),
inference(avatar_split_clause,[],[f594,f503,f125,f632]) ).
fof(f594,plain,
( ! [X2,X0,X1] :
( ~ knows(sign(concatenate(X0,X1),inverse(head(X1))))
| ~ knows(X2)
| ~ knows(head(X1))
| ~ knows(inverse(head(X1)))
| knows(sign(concatenate(kgen(head(X1)),concatenate(X2,eol)),inverse(k_s))) )
| ~ spl1_9
| ~ spl1_67 ),
inference(superposition,[],[f504,f126]) ).
fof(f630,plain,
( spl1_80
| ~ spl1_8
| ~ spl1_9
| ~ spl1_65 ),
inference(avatar_split_clause,[],[f497,f492,f125,f121,f628]) ).
fof(f492,plain,
( spl1_65
<=> ! [X2,X0,X1] :
( n != head(tail(X0))
| s != X2
| knows(symmetric_encrypt(secret,head(X0)))
| ~ knows(sign(concatenate(X2,X1),inverse(k_ca)))
| ~ knows(encrypt(sign(X0,inverse(head(X1))),k_c)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_65])]) ).
fof(f497,plain,
( ! [X2,X3,X0,X1] :
( knows(symmetric_encrypt(secret,X0))
| n != head(X1)
| s != X2
| ~ knows(sign(concatenate(X2,X3),inverse(k_ca)))
| ~ knows(encrypt(sign(concatenate(X0,X1),inverse(head(X3))),k_c)) )
| ~ spl1_8
| ~ spl1_9
| ~ spl1_65 ),
inference(forward_demodulation,[],[f496,f122]) ).
fof(f496,plain,
( ! [X2,X3,X0,X1] :
( n != head(X1)
| s != X2
| knows(symmetric_encrypt(secret,head(concatenate(X0,X1))))
| ~ knows(sign(concatenate(X2,X3),inverse(k_ca)))
| ~ knows(encrypt(sign(concatenate(X0,X1),inverse(head(X3))),k_c)) )
| ~ spl1_9
| ~ spl1_65 ),
inference(superposition,[],[f493,f126]) ).
fof(f493,plain,
( ! [X2,X0,X1] :
( n != head(tail(X0))
| s != X2
| knows(symmetric_encrypt(secret,head(X0)))
| ~ knows(sign(concatenate(X2,X1),inverse(k_ca)))
| ~ knows(encrypt(sign(X0,inverse(head(X1))),k_c)) )
| ~ spl1_65 ),
inference(avatar_component_clause,[],[f492]) ).
fof(f622,plain,
( ~ spl1_40
| spl1_79
| ~ spl1_41
| ~ spl1_69 ),
inference(avatar_split_clause,[],[f518,f515,f286,f620,f281]) ).
fof(f518,plain,
( ! [X0] :
( knows(concatenate(encrypt(sign(concatenate(kgen(k_c),concatenate(X0,eol)),inverse(k_s)),k_c),sign(concatenate(s,concatenate(k_s,eol)),inverse(k_ca))))
| ~ knows(k_c)
| ~ knows(X0) )
| ~ spl1_41
| ~ spl1_69 ),
inference(resolution,[],[f516,f288]) ).
fof(f618,plain,
( spl1_78
| ~ spl1_8
| ~ spl1_63 ),
inference(avatar_split_clause,[],[f486,f482,f121,f616]) ).
fof(f486,plain,
( ! [X2,X3,X0,X1] :
( ~ knows(sign(concatenate(X2,concatenate(X0,X1)),inverse(X0)))
| ~ knows(X0)
| ~ knows(X3)
| knows(encrypt(sign(concatenate(kgen(X0),concatenate(X3,eol)),inverse(k_s)),X0)) )
| ~ spl1_8
| ~ spl1_63 ),
inference(superposition,[],[f483,f122]) ).
fof(f608,plain,
( spl1_63
| ~ spl1_9
| ~ spl1_60 ),
inference(avatar_split_clause,[],[f590,f463,f125,f482]) ).
fof(f590,plain,
( ! [X2,X0,X1] :
( knows(encrypt(sign(concatenate(kgen(head(X1)),concatenate(X2,eol)),inverse(k_s)),head(X1)))
| ~ knows(head(X1))
| ~ knows(X2)
| ~ knows(sign(concatenate(X0,X1),inverse(head(X1)))) )
| ~ spl1_9
| ~ spl1_60 ),
inference(superposition,[],[f464,f126]) ).
fof(f607,plain,
( ~ spl1_68
| ~ spl1_71
| ~ spl1_20
| spl1_75 ),
inference(avatar_split_clause,[],[f580,f576,f171,f527,f510]) ).
fof(f580,plain,
( ~ knows(concatenate(k_s,eol))
| ~ knows(s)
| ~ spl1_20
| spl1_75 ),
inference(resolution,[],[f578,f172]) ).
fof(f578,plain,
( ~ sP0(concatenate(k_s,eol),s)
| spl1_75 ),
inference(avatar_component_clause,[],[f576]) ).
fof(f604,plain,
( spl1_61
| ~ spl1_9
| ~ spl1_47 ),
inference(avatar_split_clause,[],[f587,f321,f125,f469]) ).
fof(f587,plain,
( ! [X2,X0,X1] :
( knows(concatenate(encrypt(sign(concatenate(kgen(head(X1)),concatenate(X2,eol)),inverse(k_s)),head(X1)),sign(concatenate(s,concatenate(k_s,eol)),inverse(k_ca))))
| ~ knows(sign(concatenate(X0,X1),inverse(head(X1))))
| ~ knows(head(X1))
| ~ knows(X2) )
| ~ spl1_9
| ~ spl1_47 ),
inference(superposition,[],[f322,f126]) ).
fof(f603,plain,
( spl1_77
| ~ spl1_8
| ~ spl1_72 ),
inference(avatar_split_clause,[],[f573,f539,f121,f601]) ).
fof(f539,plain,
( spl1_72
<=> ! [X0,X1] :
( ~ knows(sign(concatenate(X0,X1),inverse(head(X1))))
| ~ knows(head(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_72])]) ).
fof(f573,plain,
( ! [X2,X0,X1] :
( ~ knows(sign(concatenate(X2,concatenate(X0,X1)),inverse(X0)))
| ~ knows(X0) )
| ~ spl1_8
| ~ spl1_72 ),
inference(superposition,[],[f540,f122]) ).
fof(f540,plain,
( ! [X0,X1] :
( ~ knows(sign(concatenate(X0,X1),inverse(head(X1))))
| ~ knows(head(X1)) )
| ~ spl1_72 ),
inference(avatar_component_clause,[],[f539]) ).
fof(f597,plain,
( spl1_76
| ~ spl1_19
| ~ spl1_72 ),
inference(avatar_split_clause,[],[f572,f539,f167,f582]) ).
fof(f572,plain,
( ! [X0,X1] :
( ~ knows(head(X0))
| ~ sP0(inverse(head(X0)),concatenate(X1,X0)) )
| ~ spl1_19
| ~ spl1_72 ),
inference(resolution,[],[f540,f168]) ).
fof(f584,plain,
( spl1_76
| ~ spl1_9
| ~ spl1_59 ),
inference(avatar_split_clause,[],[f536,f454,f125,f582]) ).
fof(f536,plain,
( ! [X0,X1] :
( ~ sP0(inverse(head(X1)),concatenate(X0,X1))
| ~ knows(head(X1)) )
| ~ spl1_9
| ~ spl1_59 ),
inference(superposition,[],[f455,f126]) ).
fof(f579,plain,
( ~ spl1_75
| ~ spl1_13
| spl1_62 ),
inference(avatar_split_clause,[],[f534,f475,f143,f576]) ).
fof(f534,plain,
( ~ sP0(concatenate(k_s,eol),s)
| ~ spl1_13
| spl1_62 ),
inference(resolution,[],[f476,f144]) ).
fof(f476,plain,
( ~ knows(concatenate(s,concatenate(k_s,eol)))
| spl1_62 ),
inference(avatar_component_clause,[],[f475]) ).
fof(f567,plain,
( spl1_74
| ~ spl1_10
| ~ spl1_71 ),
inference(avatar_split_clause,[],[f557,f527,f129,f564]) ).
fof(f557,plain,
( knows(k_s)
| ~ spl1_10
| ~ spl1_71 ),
inference(resolution,[],[f529,f130]) ).
fof(f529,plain,
( knows(concatenate(k_s,eol))
| ~ spl1_71 ),
inference(avatar_component_clause,[],[f527]) ).
fof(f562,plain,
( ~ spl1_62
| ~ spl1_73
| ~ spl1_20
| spl1_57 ),
inference(avatar_split_clause,[],[f447,f443,f171,f559,f475]) ).
fof(f559,plain,
( spl1_73
<=> knows(inverse(k_ca)) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_73])]) ).
fof(f443,plain,
( spl1_57
<=> sP0(inverse(k_ca),concatenate(s,concatenate(k_s,eol))) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_57])]) ).
fof(f447,plain,
( ~ knows(inverse(k_ca))
| ~ knows(concatenate(s,concatenate(k_s,eol)))
| ~ spl1_20
| spl1_57 ),
inference(resolution,[],[f445,f172]) ).
fof(f445,plain,
( ~ sP0(inverse(k_ca),concatenate(s,concatenate(k_s,eol)))
| spl1_57 ),
inference(avatar_component_clause,[],[f443]) ).
fof(f541,plain,
( spl1_72
| ~ spl1_9
| ~ spl1_50 ),
inference(avatar_split_clause,[],[f417,f337,f125,f539]) ).
fof(f337,plain,
( spl1_50
<=> ! [X0] :
( ~ knows(sign(X0,inverse(head(tail(X0)))))
| ~ knows(head(tail(X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_50])]) ).
fof(f417,plain,
( ! [X0,X1] :
( ~ knows(sign(concatenate(X0,X1),inverse(head(X1))))
| ~ knows(head(X1)) )
| ~ spl1_9
| ~ spl1_50 ),
inference(superposition,[],[f338,f126]) ).
fof(f338,plain,
( ! [X0] :
( ~ knows(sign(X0,inverse(head(tail(X0)))))
| ~ knows(head(tail(X0))) )
| ~ spl1_50 ),
inference(avatar_component_clause,[],[f337]) ).
fof(f530,plain,
( spl1_71
| ~ spl1_11
| ~ spl1_62 ),
inference(avatar_split_clause,[],[f479,f475,f133,f527]) ).
fof(f479,plain,
( knows(concatenate(k_s,eol))
| ~ spl1_11
| ~ spl1_62 ),
inference(resolution,[],[f477,f134]) ).
fof(f523,plain,
( spl1_70
| ~ spl1_19
| ~ spl1_61 ),
inference(avatar_split_clause,[],[f472,f469,f167,f521]) ).
fof(f472,plain,
( ! [X2,X0,X1] :
( knows(concatenate(encrypt(sign(concatenate(kgen(head(X0)),concatenate(X1,eol)),inverse(k_s)),head(X0)),sign(concatenate(s,concatenate(k_s,eol)),inverse(k_ca))))
| ~ knows(head(X0))
| ~ knows(X1)
| ~ sP0(inverse(head(X0)),concatenate(X2,X0)) )
| ~ spl1_19
| ~ spl1_61 ),
inference(resolution,[],[f470,f168]) ).
fof(f517,plain,
( spl1_69
| ~ spl1_56 ),
inference(avatar_split_clause,[],[f441,f438,f515]) ).
fof(f438,plain,
( spl1_56
<=> ! [X4,X0,X3,X2,X1] :
( X0 != X2
| knows(concatenate(encrypt(sign(concatenate(kgen(X2),concatenate(X3,eol)),inverse(k_s)),X2),sign(concatenate(s,concatenate(k_s,eol)),inverse(k_ca))))
| ~ knows(sign(concatenate(X4,concatenate(X0,X1)),inverse(X2)))
| ~ knows(X2)
| ~ knows(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_56])]) ).
fof(f441,plain,
( ! [X2,X3,X0,X1] :
( knows(concatenate(encrypt(sign(concatenate(kgen(X0),concatenate(X1,eol)),inverse(k_s)),X0),sign(concatenate(s,concatenate(k_s,eol)),inverse(k_ca))))
| ~ knows(sign(concatenate(X2,concatenate(X0,X3)),inverse(X0)))
| ~ knows(X0)
| ~ knows(X1) )
| ~ spl1_56 ),
inference(equality_resolution,[],[f439]) ).
fof(f439,plain,
( ! [X2,X3,X0,X1,X4] :
( X0 != X2
| knows(concatenate(encrypt(sign(concatenate(kgen(X2),concatenate(X3,eol)),inverse(k_s)),X2),sign(concatenate(s,concatenate(k_s,eol)),inverse(k_ca))))
| ~ knows(sign(concatenate(X4,concatenate(X0,X1)),inverse(X2)))
| ~ knows(X2)
| ~ knows(X3) )
| ~ spl1_56 ),
inference(avatar_component_clause,[],[f438]) ).
fof(f513,plain,
( spl1_68
| ~ spl1_10
| ~ spl1_62 ),
inference(avatar_split_clause,[],[f480,f475,f129,f510]) ).
fof(f480,plain,
( knows(s)
| ~ spl1_10
| ~ spl1_62 ),
inference(resolution,[],[f477,f130]) ).
fof(f505,plain,
( spl1_67
| ~ spl1_27
| ~ spl1_60 ),
inference(avatar_split_clause,[],[f466,f463,f205,f503]) ).
fof(f466,plain,
( ! [X0,X1] :
( ~ knows(head(tail(X0)))
| ~ knows(X1)
| ~ knows(sign(X0,inverse(head(tail(X0)))))
| ~ knows(inverse(head(tail(X0))))
| knows(sign(concatenate(kgen(head(tail(X0))),concatenate(X1,eol)),inverse(k_s))) )
| ~ spl1_27
| ~ spl1_60 ),
inference(resolution,[],[f464,f206]) ).
fof(f501,plain,
( spl1_66
| ~ spl1_8
| ~ spl1_54 ),
inference(avatar_split_clause,[],[f430,f427,f121,f499]) ).
fof(f427,plain,
( spl1_54
<=> ! [X2,X0,X1] :
( s != X0
| n != head(tail(extract(X2,head(X1))))
| knows(symmetric_encrypt(secret,head(extract(X2,head(X1)))))
| ~ knows(sign(concatenate(X0,X1),inverse(k_ca)))
| ~ knows(encrypt(X2,k_c)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_54])]) ).
fof(f430,plain,
( ! [X2,X3,X0,X1] :
( n != head(tail(extract(X2,X0)))
| s != X3
| knows(symmetric_encrypt(secret,head(extract(X2,X0))))
| ~ knows(sign(concatenate(X3,concatenate(X0,X1)),inverse(k_ca)))
| ~ knows(encrypt(X2,k_c)) )
| ~ spl1_8
| ~ spl1_54 ),
inference(superposition,[],[f428,f122]) ).
fof(f428,plain,
( ! [X2,X0,X1] :
( n != head(tail(extract(X2,head(X1))))
| s != X0
| knows(symmetric_encrypt(secret,head(extract(X2,head(X1)))))
| ~ knows(sign(concatenate(X0,X1),inverse(k_ca)))
| ~ knows(encrypt(X2,k_c)) )
| ~ spl1_54 ),
inference(avatar_component_clause,[],[f427]) ).
fof(f494,plain,
( spl1_65
| ~ spl1_23
| ~ spl1_54 ),
inference(avatar_split_clause,[],[f431,f427,f186,f492]) ).
fof(f431,plain,
( ! [X2,X0,X1] :
( n != head(tail(X0))
| s != X2
| knows(symmetric_encrypt(secret,head(X0)))
| ~ knows(sign(concatenate(X2,X1),inverse(k_ca)))
| ~ knows(encrypt(sign(X0,inverse(head(X1))),k_c)) )
| ~ spl1_23
| ~ spl1_54 ),
inference(superposition,[],[f428,f187]) ).
fof(f490,plain,
( spl1_64
| ~ spl1_8
| ~ spl1_9
| ~ spl1_53 ),
inference(avatar_split_clause,[],[f425,f421,f125,f121,f488]) ).
fof(f421,plain,
( spl1_53
<=> ! [X0,X1] :
( s != head(X0)
| knows(symmetric_encrypt(secret,head(X1)))
| n != head(tail(X1))
| ~ knows(sign(X0,inverse(k_ca)))
| ~ knows(encrypt(sign(X1,inverse(head(tail(X0)))),k_c)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_53])]) ).
fof(f425,plain,
( ! [X2,X0,X1] :
( knows(symmetric_encrypt(secret,X0))
| n != head(X1)
| head(X2) != s
| ~ knows(sign(X2,inverse(k_ca)))
| ~ knows(encrypt(sign(concatenate(X0,X1),inverse(head(tail(X2)))),k_c)) )
| ~ spl1_8
| ~ spl1_9
| ~ spl1_53 ),
inference(forward_demodulation,[],[f424,f122]) ).
fof(f424,plain,
( ! [X2,X0,X1] :
( n != head(X1)
| knows(symmetric_encrypt(secret,head(concatenate(X0,X1))))
| head(X2) != s
| ~ knows(sign(X2,inverse(k_ca)))
| ~ knows(encrypt(sign(concatenate(X0,X1),inverse(head(tail(X2)))),k_c)) )
| ~ spl1_9
| ~ spl1_53 ),
inference(superposition,[],[f422,f126]) ).
fof(f422,plain,
( ! [X0,X1] :
( n != head(tail(X1))
| knows(symmetric_encrypt(secret,head(X1)))
| s != head(X0)
| ~ knows(sign(X0,inverse(k_ca)))
| ~ knows(encrypt(sign(X1,inverse(head(tail(X0)))),k_c)) )
| ~ spl1_53 ),
inference(avatar_component_clause,[],[f421]) ).
fof(f484,plain,
( spl1_63
| ~ spl1_9
| ~ spl1_60 ),
inference(avatar_split_clause,[],[f467,f463,f125,f482]) ).
fof(f467,plain,
( ! [X2,X0,X1] :
( knows(encrypt(sign(concatenate(kgen(head(X1)),concatenate(X2,eol)),inverse(k_s)),head(X1)))
| ~ knows(head(X1))
| ~ knows(X2)
| ~ knows(sign(concatenate(X0,X1),inverse(head(X1)))) )
| ~ spl1_9
| ~ spl1_60 ),
inference(superposition,[],[f464,f126]) ).
fof(f478,plain,
( spl1_62
| ~ spl1_2
| ~ spl1_28
| ~ spl1_48 ),
inference(avatar_split_clause,[],[f461,f330,f209,f94,f475]) ).
fof(f94,plain,
( spl1_2
<=> knows(k_ca) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_2])]) ).
fof(f461,plain,
( ~ knows(k_ca)
| knows(concatenate(s,concatenate(k_s,eol)))
| ~ spl1_28
| ~ spl1_48 ),
inference(resolution,[],[f332,f210]) ).
fof(f471,plain,
( spl1_61
| ~ spl1_45 ),
inference(avatar_split_clause,[],[f319,f310,f469]) ).
fof(f310,plain,
( spl1_45
<=> ! [X0,X3,X2,X1] :
( head(X1) != X2
| knows(concatenate(encrypt(sign(concatenate(kgen(X2),concatenate(X3,eol)),inverse(k_s)),X2),sign(concatenate(s,concatenate(k_s,eol)),inverse(k_ca))))
| ~ knows(sign(concatenate(X0,X1),inverse(X2)))
| ~ knows(X2)
| ~ knows(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_45])]) ).
fof(f319,plain,
( ! [X2,X0,X1] :
( knows(concatenate(encrypt(sign(concatenate(kgen(head(X0)),concatenate(X1,eol)),inverse(k_s)),head(X0)),sign(concatenate(s,concatenate(k_s,eol)),inverse(k_ca))))
| ~ knows(sign(concatenate(X2,X0),inverse(head(X0))))
| ~ knows(head(X0))
| ~ knows(X1) )
| ~ spl1_45 ),
inference(equality_resolution,[],[f311]) ).
fof(f311,plain,
( ! [X2,X3,X0,X1] :
( head(X1) != X2
| knows(concatenate(encrypt(sign(concatenate(kgen(X2),concatenate(X3,eol)),inverse(k_s)),X2),sign(concatenate(s,concatenate(k_s,eol)),inverse(k_ca))))
| ~ knows(sign(concatenate(X0,X1),inverse(X2)))
| ~ knows(X2)
| ~ knows(X3) )
| ~ spl1_45 ),
inference(avatar_component_clause,[],[f310]) ).
fof(f465,plain,
( spl1_60
| ~ spl1_10
| ~ spl1_47 ),
inference(avatar_split_clause,[],[f325,f321,f129,f463]) ).
fof(f325,plain,
( ! [X0,X1] :
( ~ knows(sign(X0,inverse(head(tail(X0)))))
| ~ knows(head(tail(X0)))
| ~ knows(X1)
| knows(encrypt(sign(concatenate(kgen(head(tail(X0))),concatenate(X1,eol)),inverse(k_s)),head(tail(X0)))) )
| ~ spl1_10
| ~ spl1_47 ),
inference(resolution,[],[f322,f130]) ).
fof(f457,plain,
( spl1_47
| ~ spl1_38 ),
inference(avatar_split_clause,[],[f403,f268,f321]) ).
fof(f268,plain,
( spl1_38
<=> ! [X2,X0,X1] :
( head(tail(X0)) != X1
| knows(concatenate(encrypt(sign(concatenate(kgen(X1),concatenate(X2,eol)),inverse(k_s)),X1),sign(concatenate(s,concatenate(k_s,eol)),inverse(k_ca))))
| ~ knows(sign(X0,inverse(X1)))
| ~ knows(X1)
| ~ knows(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_38])]) ).
fof(f403,plain,
( ! [X0,X1] :
( knows(concatenate(encrypt(sign(concatenate(kgen(head(tail(X0))),concatenate(X1,eol)),inverse(k_s)),head(tail(X0))),sign(concatenate(s,concatenate(k_s,eol)),inverse(k_ca))))
| ~ knows(sign(X0,inverse(head(tail(X0)))))
| ~ knows(head(tail(X0)))
| ~ knows(X1) )
| ~ spl1_38 ),
inference(equality_resolution,[],[f269]) ).
fof(f269,plain,
( ! [X2,X0,X1] :
( head(tail(X0)) != X1
| knows(concatenate(encrypt(sign(concatenate(kgen(X1),concatenate(X2,eol)),inverse(k_s)),X1),sign(concatenate(s,concatenate(k_s,eol)),inverse(k_ca))))
| ~ knows(sign(X0,inverse(X1)))
| ~ knows(X1)
| ~ knows(X2) )
| ~ spl1_38 ),
inference(avatar_component_clause,[],[f268]) ).
fof(f456,plain,
( spl1_59
| ~ spl1_19
| ~ spl1_50 ),
inference(avatar_split_clause,[],[f416,f337,f167,f454]) ).
fof(f416,plain,
( ! [X0] :
( ~ knows(head(tail(X0)))
| ~ sP0(inverse(head(tail(X0))),X0) )
| ~ spl1_19
| ~ spl1_50 ),
inference(resolution,[],[f338,f168]) ).
fof(f452,plain,
( spl1_58
| ~ spl1_11
| ~ spl1_52 ),
inference(avatar_split_clause,[],[f418,f395,f133,f449]) ).
fof(f418,plain,
( knows(eol)
| ~ spl1_11
| ~ spl1_52 ),
inference(resolution,[],[f397,f134]) ).
fof(f446,plain,
( ~ spl1_57
| ~ spl1_19
| spl1_48 ),
inference(avatar_split_clause,[],[f415,f330,f167,f443]) ).
fof(f415,plain,
( ~ sP0(inverse(k_ca),concatenate(s,concatenate(k_s,eol)))
| ~ spl1_19
| spl1_48 ),
inference(resolution,[],[f331,f168]) ).
fof(f331,plain,
( ~ knows(sign(concatenate(s,concatenate(k_s,eol)),inverse(k_ca)))
| spl1_48 ),
inference(avatar_component_clause,[],[f330]) ).
fof(f440,plain,
( spl1_56
| ~ spl1_8
| ~ spl1_45 ),
inference(avatar_split_clause,[],[f318,f310,f121,f438]) ).
fof(f318,plain,
( ! [X2,X3,X0,X1,X4] :
( X0 != X2
| knows(concatenate(encrypt(sign(concatenate(kgen(X2),concatenate(X3,eol)),inverse(k_s)),X2),sign(concatenate(s,concatenate(k_s,eol)),inverse(k_ca))))
| ~ knows(sign(concatenate(X4,concatenate(X0,X1)),inverse(X2)))
| ~ knows(X2)
| ~ knows(X3) )
| ~ spl1_8
| ~ spl1_45 ),
inference(superposition,[],[f311,f122]) ).
fof(f435,plain,
( spl1_55
| ~ spl1_8
| ~ spl1_44 ),
inference(avatar_split_clause,[],[f308,f304,f121,f433]) ).
fof(f433,plain,
( spl1_55
<=> ! [X0,X3,X2,X1] :
( n != head(tail(extract(decrypt(X2,inverse(k_c)),X0)))
| s != X3
| knows(symmetric_encrypt(secret,head(extract(decrypt(X2,inverse(k_c)),X0))))
| ~ knows(sign(concatenate(X3,concatenate(X0,X1)),inverse(k_ca)))
| ~ knows(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_55])]) ).
fof(f304,plain,
( spl1_44
<=> ! [X2,X0,X1] :
( s != X0
| n != head(tail(extract(decrypt(X2,inverse(k_c)),head(X1))))
| knows(symmetric_encrypt(secret,head(extract(decrypt(X2,inverse(k_c)),head(X1)))))
| ~ knows(sign(concatenate(X0,X1),inverse(k_ca)))
| ~ knows(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_44])]) ).
fof(f308,plain,
( ! [X2,X3,X0,X1] :
( n != head(tail(extract(decrypt(X2,inverse(k_c)),X0)))
| s != X3
| knows(symmetric_encrypt(secret,head(extract(decrypt(X2,inverse(k_c)),X0))))
| ~ knows(sign(concatenate(X3,concatenate(X0,X1)),inverse(k_ca)))
| ~ knows(X2) )
| ~ spl1_8
| ~ spl1_44 ),
inference(superposition,[],[f305,f122]) ).
fof(f305,plain,
( ! [X2,X0,X1] :
( n != head(tail(extract(decrypt(X2,inverse(k_c)),head(X1))))
| s != X0
| knows(symmetric_encrypt(secret,head(extract(decrypt(X2,inverse(k_c)),head(X1)))))
| ~ knows(sign(concatenate(X0,X1),inverse(k_ca)))
| ~ knows(X2) )
| ~ spl1_44 ),
inference(avatar_component_clause,[],[f304]) ).
fof(f429,plain,
( spl1_54
| ~ spl1_8
| ~ spl1_9
| ~ spl1_43 ),
inference(avatar_split_clause,[],[f302,f297,f125,f121,f427]) ).
fof(f297,plain,
( spl1_43
<=> ! [X0,X1] :
( n != head(tail(extract(X1,head(tail(X0)))))
| knows(symmetric_encrypt(secret,head(extract(X1,head(tail(X0))))))
| s != head(X0)
| ~ knows(sign(X0,inverse(k_ca)))
| ~ knows(encrypt(X1,k_c)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_43])]) ).
fof(f302,plain,
( ! [X2,X0,X1] :
( s != X0
| n != head(tail(extract(X2,head(X1))))
| knows(symmetric_encrypt(secret,head(extract(X2,head(X1)))))
| ~ knows(sign(concatenate(X0,X1),inverse(k_ca)))
| ~ knows(encrypt(X2,k_c)) )
| ~ spl1_8
| ~ spl1_9
| ~ spl1_43 ),
inference(forward_demodulation,[],[f300,f122]) ).
fof(f300,plain,
( ! [X2,X0,X1] :
( n != head(tail(extract(X2,head(X1))))
| knows(symmetric_encrypt(secret,head(extract(X2,head(X1)))))
| s != head(concatenate(X0,X1))
| ~ knows(sign(concatenate(X0,X1),inverse(k_ca)))
| ~ knows(encrypt(X2,k_c)) )
| ~ spl1_9
| ~ spl1_43 ),
inference(superposition,[],[f298,f126]) ).
fof(f298,plain,
( ! [X0,X1] :
( n != head(tail(extract(X1,head(tail(X0)))))
| knows(symmetric_encrypt(secret,head(extract(X1,head(tail(X0))))))
| s != head(X0)
| ~ knows(sign(X0,inverse(k_ca)))
| ~ knows(encrypt(X1,k_c)) )
| ~ spl1_43 ),
inference(avatar_component_clause,[],[f297]) ).
fof(f423,plain,
( spl1_53
| ~ spl1_23
| ~ spl1_42 ),
inference(avatar_split_clause,[],[f295,f292,f186,f421]) ).
fof(f292,plain,
( spl1_42
<=> ! [X0,X1] :
( n != head(tail(X0))
| knows(symmetric_encrypt(secret,head(X0)))
| s != head(extract(X1,k_ca))
| ~ knows(X1)
| ~ knows(encrypt(sign(X0,inverse(head(tail(extract(X1,k_ca))))),k_c)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_42])]) ).
fof(f295,plain,
( ! [X0,X1] :
( s != head(X0)
| knows(symmetric_encrypt(secret,head(X1)))
| n != head(tail(X1))
| ~ knows(sign(X0,inverse(k_ca)))
| ~ knows(encrypt(sign(X1,inverse(head(tail(X0)))),k_c)) )
| ~ spl1_23
| ~ spl1_42 ),
inference(superposition,[],[f293,f187]) ).
fof(f293,plain,
( ! [X0,X1] :
( s != head(extract(X1,k_ca))
| knows(symmetric_encrypt(secret,head(X0)))
| n != head(tail(X0))
| ~ knows(X1)
| ~ knows(encrypt(sign(X0,inverse(head(tail(extract(X1,k_ca))))),k_c)) )
| ~ spl1_42 ),
inference(avatar_component_clause,[],[f292]) ).
fof(f398,plain,
( spl1_52
| ~ spl1_11
| ~ spl1_46 ),
inference(avatar_split_clause,[],[f327,f314,f133,f395]) ).
fof(f327,plain,
( knows(concatenate(k_c,eol))
| ~ spl1_11
| ~ spl1_46 ),
inference(resolution,[],[f316,f134]) ).
fof(f371,plain,
( spl1_51
| ~ spl1_10
| ~ spl1_46 ),
inference(avatar_split_clause,[],[f328,f314,f129,f368]) ).
fof(f328,plain,
( knows(c)
| ~ spl1_10
| ~ spl1_46 ),
inference(resolution,[],[f316,f130]) ).
fof(f364,plain,
( ~ spl1_4
| ~ spl1_49 ),
inference(avatar_contradiction_clause,[],[f341]) ).
fof(f341,plain,
( $false
| ~ spl1_4
| ~ spl1_49 ),
inference(resolution,[],[f335,f106]) ).
fof(f335,plain,
( ! [X1] : ~ knows(X1)
| ~ spl1_49 ),
inference(avatar_component_clause,[],[f334]) ).
fof(f363,plain,
( ~ spl1_41
| ~ spl1_49 ),
inference(avatar_contradiction_clause,[],[f344]) ).
fof(f344,plain,
( $false
| ~ spl1_41
| ~ spl1_49 ),
inference(resolution,[],[f335,f288]) ).
fof(f362,plain,
( ~ spl1_29
| ~ spl1_49 ),
inference(avatar_contradiction_clause,[],[f346]) ).
fof(f346,plain,
( $false
| ~ spl1_29
| ~ spl1_49 ),
inference(resolution,[],[f335,f217]) ).
fof(f361,plain,
( ~ spl1_36
| ~ spl1_49 ),
inference(avatar_contradiction_clause,[],[f347]) ).
fof(f347,plain,
( $false
| ~ spl1_36
| ~ spl1_49 ),
inference(resolution,[],[f335,f257]) ).
fof(f360,plain,
( ~ spl1_46
| ~ spl1_49 ),
inference(avatar_contradiction_clause,[],[f348]) ).
fof(f348,plain,
( $false
| ~ spl1_46
| ~ spl1_49 ),
inference(resolution,[],[f335,f316]) ).
fof(f359,plain,
( ~ spl1_2
| ~ spl1_49 ),
inference(avatar_contradiction_clause,[],[f352]) ).
fof(f352,plain,
( $false
| ~ spl1_2
| ~ spl1_49 ),
inference(resolution,[],[f335,f96]) ).
fof(f96,plain,
( knows(k_ca)
| ~ spl1_2 ),
inference(avatar_component_clause,[],[f94]) ).
fof(f358,plain,
( ~ spl1_3
| ~ spl1_49 ),
inference(avatar_contradiction_clause,[],[f353]) ).
fof(f353,plain,
( $false
| ~ spl1_3
| ~ spl1_49 ),
inference(resolution,[],[f335,f101]) ).
fof(f101,plain,
( knows(k_a)
| ~ spl1_3 ),
inference(avatar_component_clause,[],[f99]) ).
fof(f357,plain,
( ~ spl1_30
| ~ spl1_49 ),
inference(avatar_contradiction_clause,[],[f354]) ).
fof(f354,plain,
( $false
| ~ spl1_30
| ~ spl1_49 ),
inference(resolution,[],[f335,f224]) ).
fof(f224,plain,
( knows(n)
| ~ spl1_30 ),
inference(avatar_component_clause,[],[f222]) ).
fof(f356,plain,
( ~ spl1_40
| ~ spl1_49 ),
inference(avatar_contradiction_clause,[],[f355]) ).
fof(f355,plain,
( $false
| ~ spl1_40
| ~ spl1_49 ),
inference(resolution,[],[f335,f283]) ).
fof(f283,plain,
( knows(k_c)
| ~ spl1_40 ),
inference(avatar_component_clause,[],[f281]) ).
fof(f339,plain,
( spl1_48
| spl1_49
| spl1_50
| ~ spl1_11
| ~ spl1_47 ),
inference(avatar_split_clause,[],[f324,f321,f133,f337,f334,f330]) ).
fof(f324,plain,
( ! [X0,X1] :
( ~ knows(sign(X0,inverse(head(tail(X0)))))
| ~ knows(head(tail(X0)))
| ~ knows(X1)
| knows(sign(concatenate(s,concatenate(k_s,eol)),inverse(k_ca))) )
| ~ spl1_11
| ~ spl1_47 ),
inference(resolution,[],[f322,f134]) ).
fof(f323,plain,
( spl1_47
| ~ spl1_38 ),
inference(avatar_split_clause,[],[f276,f268,f321]) ).
fof(f276,plain,
( ! [X0,X1] :
( knows(concatenate(encrypt(sign(concatenate(kgen(head(tail(X0))),concatenate(X1,eol)),inverse(k_s)),head(tail(X0))),sign(concatenate(s,concatenate(k_s,eol)),inverse(k_ca))))
| ~ knows(sign(X0,inverse(head(tail(X0)))))
| ~ knows(head(tail(X0)))
| ~ knows(X1) )
| ~ spl1_38 ),
inference(equality_resolution,[],[f269]) ).
fof(f317,plain,
( spl1_46
| ~ spl1_40
| ~ spl1_28
| ~ spl1_41 ),
inference(avatar_split_clause,[],[f290,f286,f209,f281,f314]) ).
fof(f290,plain,
( ~ knows(k_c)
| knows(concatenate(c,concatenate(k_c,eol)))
| ~ spl1_28
| ~ spl1_41 ),
inference(resolution,[],[f288,f210]) ).
fof(f312,plain,
( spl1_45
| ~ spl1_9
| ~ spl1_38 ),
inference(avatar_split_clause,[],[f275,f268,f125,f310]) ).
fof(f275,plain,
( ! [X2,X3,X0,X1] :
( head(X1) != X2
| knows(concatenate(encrypt(sign(concatenate(kgen(X2),concatenate(X3,eol)),inverse(k_s)),X2),sign(concatenate(s,concatenate(k_s,eol)),inverse(k_ca))))
| ~ knows(sign(concatenate(X0,X1),inverse(X2)))
| ~ knows(X2)
| ~ knows(X3) )
| ~ spl1_9
| ~ spl1_38 ),
inference(superposition,[],[f269,f126]) ).
fof(f306,plain,
( spl1_44
| ~ spl1_8
| ~ spl1_9
| ~ spl1_39 ),
inference(avatar_split_clause,[],[f279,f272,f125,f121,f304]) ).
fof(f272,plain,
( spl1_39
<=> ! [X0,X1] :
( n != head(tail(extract(decrypt(X1,inverse(k_c)),head(tail(X0)))))
| knows(symmetric_encrypt(secret,head(extract(decrypt(X1,inverse(k_c)),head(tail(X0))))))
| s != head(X0)
| ~ knows(sign(X0,inverse(k_ca)))
| ~ knows(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_39])]) ).
fof(f279,plain,
( ! [X2,X0,X1] :
( s != X0
| n != head(tail(extract(decrypt(X2,inverse(k_c)),head(X1))))
| knows(symmetric_encrypt(secret,head(extract(decrypt(X2,inverse(k_c)),head(X1)))))
| ~ knows(sign(concatenate(X0,X1),inverse(k_ca)))
| ~ knows(X2) )
| ~ spl1_8
| ~ spl1_9
| ~ spl1_39 ),
inference(forward_demodulation,[],[f278,f122]) ).
fof(f278,plain,
( ! [X2,X0,X1] :
( n != head(tail(extract(decrypt(X2,inverse(k_c)),head(X1))))
| knows(symmetric_encrypt(secret,head(extract(decrypt(X2,inverse(k_c)),head(X1)))))
| s != head(concatenate(X0,X1))
| ~ knows(sign(concatenate(X0,X1),inverse(k_ca)))
| ~ knows(X2) )
| ~ spl1_9
| ~ spl1_39 ),
inference(superposition,[],[f273,f126]) ).
fof(f273,plain,
( ! [X0,X1] :
( n != head(tail(extract(decrypt(X1,inverse(k_c)),head(tail(X0)))))
| knows(symmetric_encrypt(secret,head(extract(decrypt(X1,inverse(k_c)),head(tail(X0))))))
| s != head(X0)
| ~ knows(sign(X0,inverse(k_ca)))
| ~ knows(X1) )
| ~ spl1_39 ),
inference(avatar_component_clause,[],[f272]) ).
fof(f299,plain,
( spl1_43
| ~ spl1_23
| ~ spl1_37 ),
inference(avatar_split_clause,[],[f265,f262,f186,f297]) ).
fof(f262,plain,
( spl1_37
<=> ! [X0,X1] :
( n != head(tail(extract(X0,head(tail(extract(X1,k_ca))))))
| knows(symmetric_encrypt(secret,head(extract(X0,head(tail(extract(X1,k_ca)))))))
| s != head(extract(X1,k_ca))
| ~ knows(X1)
| ~ knows(encrypt(X0,k_c)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_37])]) ).
fof(f265,plain,
( ! [X0,X1] :
( n != head(tail(extract(X1,head(tail(X0)))))
| knows(symmetric_encrypt(secret,head(extract(X1,head(tail(X0))))))
| s != head(X0)
| ~ knows(sign(X0,inverse(k_ca)))
| ~ knows(encrypt(X1,k_c)) )
| ~ spl1_23
| ~ spl1_37 ),
inference(superposition,[],[f263,f187]) ).
fof(f263,plain,
( ! [X0,X1] :
( n != head(tail(extract(X0,head(tail(extract(X1,k_ca))))))
| knows(symmetric_encrypt(secret,head(extract(X0,head(tail(extract(X1,k_ca)))))))
| s != head(extract(X1,k_ca))
| ~ knows(X1)
| ~ knows(encrypt(X0,k_c)) )
| ~ spl1_37 ),
inference(avatar_component_clause,[],[f262]) ).
fof(f294,plain,
( spl1_42
| ~ spl1_23
| ~ spl1_37 ),
inference(avatar_split_clause,[],[f266,f262,f186,f292]) ).
fof(f266,plain,
( ! [X0,X1] :
( n != head(tail(X0))
| knows(symmetric_encrypt(secret,head(X0)))
| s != head(extract(X1,k_ca))
| ~ knows(X1)
| ~ knows(encrypt(sign(X0,inverse(head(tail(extract(X1,k_ca))))),k_c)) )
| ~ spl1_23
| ~ spl1_37 ),
inference(superposition,[],[f263,f187]) ).
fof(f289,plain,
( spl1_41
| ~ spl1_11
| ~ spl1_36 ),
inference(avatar_split_clause,[],[f259,f255,f133,f286]) ).
fof(f259,plain,
( knows(sign(concatenate(c,concatenate(k_c,eol)),inverse(k_c)))
| ~ spl1_11
| ~ spl1_36 ),
inference(resolution,[],[f257,f134]) ).
fof(f284,plain,
( spl1_40
| ~ spl1_10
| ~ spl1_36 ),
inference(avatar_split_clause,[],[f260,f255,f129,f281]) ).
fof(f260,plain,
( knows(k_c)
| ~ spl1_10
| ~ spl1_36 ),
inference(resolution,[],[f257,f130]) ).
fof(f274,plain,
( spl1_39
| ~ spl1_23
| ~ spl1_32 ),
inference(avatar_split_clause,[],[f236,f232,f186,f272]) ).
fof(f232,plain,
( spl1_32
<=> ! [X4,X3] :
( knows(symmetric_encrypt(secret,head(extract(decrypt(X3,inverse(k_c)),head(tail(extract(X4,k_ca)))))))
| n != head(tail(extract(decrypt(X3,inverse(k_c)),head(tail(extract(X4,k_ca))))))
| s != head(extract(X4,k_ca))
| ~ knows(X4)
| ~ knows(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_32])]) ).
fof(f236,plain,
( ! [X0,X1] :
( n != head(tail(extract(decrypt(X1,inverse(k_c)),head(tail(X0)))))
| knows(symmetric_encrypt(secret,head(extract(decrypt(X1,inverse(k_c)),head(tail(X0))))))
| s != head(X0)
| ~ knows(sign(X0,inverse(k_ca)))
| ~ knows(X1) )
| ~ spl1_23
| ~ spl1_32 ),
inference(superposition,[],[f233,f187]) ).
fof(f233,plain,
( ! [X3,X4] :
( n != head(tail(extract(decrypt(X3,inverse(k_c)),head(tail(extract(X4,k_ca))))))
| knows(symmetric_encrypt(secret,head(extract(decrypt(X3,inverse(k_c)),head(tail(extract(X4,k_ca)))))))
| s != head(extract(X4,k_ca))
| ~ knows(X4)
| ~ knows(X3) )
| ~ spl1_32 ),
inference(avatar_component_clause,[],[f232]) ).
fof(f270,plain,
( spl1_38
| ~ spl1_23
| ~ spl1_31 ),
inference(avatar_split_clause,[],[f230,f227,f186,f268]) ).
fof(f227,plain,
( spl1_31
<=> ! [X2,X0,X1] :
( knows(concatenate(encrypt(sign(concatenate(kgen(X1),concatenate(X0,eol)),inverse(k_s)),X1),sign(concatenate(s,concatenate(k_s,eol)),inverse(k_ca))))
| head(tail(extract(X2,X1))) != X1
| ~ knows(X2)
| ~ knows(X1)
| ~ knows(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_31])]) ).
fof(f230,plain,
( ! [X2,X0,X1] :
( head(tail(X0)) != X1
| knows(concatenate(encrypt(sign(concatenate(kgen(X1),concatenate(X2,eol)),inverse(k_s)),X1),sign(concatenate(s,concatenate(k_s,eol)),inverse(k_ca))))
| ~ knows(sign(X0,inverse(X1)))
| ~ knows(X1)
| ~ knows(X2) )
| ~ spl1_23
| ~ spl1_31 ),
inference(superposition,[],[f228,f187]) ).
fof(f228,plain,
( ! [X2,X0,X1] :
( head(tail(extract(X2,X1))) != X1
| knows(concatenate(encrypt(sign(concatenate(kgen(X1),concatenate(X0,eol)),inverse(k_s)),X1),sign(concatenate(s,concatenate(k_s,eol)),inverse(k_ca))))
| ~ knows(X2)
| ~ knows(X1)
| ~ knows(X0) )
| ~ spl1_31 ),
inference(avatar_component_clause,[],[f227]) ).
fof(f264,plain,
( spl1_37
| ~ spl1_22
| ~ spl1_32 ),
inference(avatar_split_clause,[],[f235,f232,f182,f262]) ).
fof(f182,plain,
( spl1_22
<=> ! [X0,X1] : decrypt(encrypt(X0,X1),inverse(X1)) = X0 ),
introduced(avatar_definition,[new_symbols(naming,[spl1_22])]) ).
fof(f235,plain,
( ! [X0,X1] :
( n != head(tail(extract(X0,head(tail(extract(X1,k_ca))))))
| knows(symmetric_encrypt(secret,head(extract(X0,head(tail(extract(X1,k_ca)))))))
| s != head(extract(X1,k_ca))
| ~ knows(X1)
| ~ knows(encrypt(X0,k_c)) )
| ~ spl1_22
| ~ spl1_32 ),
inference(superposition,[],[f233,f183]) ).
fof(f183,plain,
( ! [X0,X1] : decrypt(encrypt(X0,X1),inverse(X1)) = X0
| ~ spl1_22 ),
inference(avatar_component_clause,[],[f182]) ).
fof(f258,plain,
( spl1_36
| ~ spl1_11
| ~ spl1_29 ),
inference(avatar_split_clause,[],[f219,f215,f133,f255]) ).
fof(f219,plain,
( knows(concatenate(k_c,sign(concatenate(c,concatenate(k_c,eol)),inverse(k_c))))
| ~ spl1_11
| ~ spl1_29 ),
inference(resolution,[],[f217,f134]) ).
fof(f251,plain,
( spl1_35
| ~ spl1_18
| ~ spl1_23 ),
inference(avatar_split_clause,[],[f202,f186,f163,f249]) ).
fof(f249,plain,
( spl1_35
<=> ! [X0,X1] :
( knows(X0)
| ~ sP0(X1,sign(X0,inverse(X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_35])]) ).
fof(f163,plain,
( spl1_18
<=> ! [X0,X1] :
( knows(extract(X1,X0))
| ~ sP0(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_18])]) ).
fof(f202,plain,
( ! [X0,X1] :
( knows(X0)
| ~ sP0(X1,sign(X0,inverse(X1))) )
| ~ spl1_18
| ~ spl1_23 ),
inference(superposition,[],[f164,f187]) ).
fof(f164,plain,
( ! [X0,X1] :
( knows(extract(X1,X0))
| ~ sP0(X0,X1) )
| ~ spl1_18 ),
inference(avatar_component_clause,[],[f163]) ).
fof(f247,plain,
( spl1_34
| ~ spl1_16
| ~ spl1_22 ),
inference(avatar_split_clause,[],[f201,f182,f155,f245]) ).
fof(f245,plain,
( spl1_34
<=> ! [X0,X1] :
( knows(X0)
| ~ sP0(inverse(X1),encrypt(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_34])]) ).
fof(f155,plain,
( spl1_16
<=> ! [X0,X1] :
( knows(decrypt(X1,X0))
| ~ sP0(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_16])]) ).
fof(f201,plain,
( ! [X0,X1] :
( knows(X0)
| ~ sP0(inverse(X1),encrypt(X0,X1)) )
| ~ spl1_16
| ~ spl1_22 ),
inference(superposition,[],[f156,f183]) ).
fof(f156,plain,
( ! [X0,X1] :
( knows(decrypt(X1,X0))
| ~ sP0(X0,X1) )
| ~ spl1_16 ),
inference(avatar_component_clause,[],[f155]) ).
fof(f242,plain,
( spl1_33
| ~ spl1_12
| ~ spl1_17 ),
inference(avatar_split_clause,[],[f180,f159,f139,f240]) ).
fof(f240,plain,
( spl1_33
<=> ! [X0,X1] :
( knows(X0)
| ~ sP0(X1,symmetric_encrypt(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_33])]) ).
fof(f139,plain,
( spl1_12
<=> ! [X0,X1] : symmetric_decrypt(symmetric_encrypt(X0,X1),X1) = X0 ),
introduced(avatar_definition,[new_symbols(naming,[spl1_12])]) ).
fof(f159,plain,
( spl1_17
<=> ! [X0,X1] :
( knows(symmetric_decrypt(X1,X0))
| ~ sP0(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_17])]) ).
fof(f180,plain,
( ! [X0,X1] :
( knows(X0)
| ~ sP0(X1,symmetric_encrypt(X0,X1)) )
| ~ spl1_12
| ~ spl1_17 ),
inference(superposition,[],[f160,f140]) ).
fof(f140,plain,
( ! [X0,X1] : symmetric_decrypt(symmetric_encrypt(X0,X1),X1) = X0
| ~ spl1_12 ),
inference(avatar_component_clause,[],[f139]) ).
fof(f160,plain,
( ! [X0,X1] :
( knows(symmetric_decrypt(X1,X0))
| ~ sP0(X0,X1) )
| ~ spl1_17 ),
inference(avatar_component_clause,[],[f159]) ).
fof(f234,plain,
spl1_32,
inference(avatar_split_clause,[],[f87,f232]) ).
fof(f87,plain,
! [X3,X4] :
( knows(symmetric_encrypt(secret,head(extract(decrypt(X3,inverse(k_c)),head(tail(extract(X4,k_ca)))))))
| n != head(tail(extract(decrypt(X3,inverse(k_c)),head(tail(extract(X4,k_ca))))))
| s != head(extract(X4,k_ca))
| ~ knows(X4)
| ~ knows(X3) ),
inference(definition_unfolding,[],[f84,f57,f58,f58,f58,f57]) ).
fof(f58,plain,
! [X0] : second(X0) = head(tail(X0)),
inference(cnf_transformation,[],[f23]) ).
fof(f23,plain,
! [X0] : second(X0) = head(tail(X0)),
inference(rectify,[],[f13]) ).
fof(f13,axiom,
! [X4] : second(X4) = head(tail(X4)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',second_axiom) ).
fof(f57,plain,
! [X0] : first(X0) = head(X0),
inference(cnf_transformation,[],[f22]) ).
fof(f22,plain,
! [X0] : first(X0) = head(X0),
inference(rectify,[],[f12]) ).
fof(f12,axiom,
! [X4] : first(X4) = head(X4),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',first_axiom) ).
fof(f84,plain,
! [X3,X4] :
( knows(symmetric_encrypt(secret,first(extract(decrypt(X3,inverse(k_c)),second(extract(X4,k_ca))))))
| n != second(extract(decrypt(X3,inverse(k_c)),second(extract(X4,k_ca))))
| s != first(extract(X4,k_ca))
| ~ knows(X4)
| ~ knows(X3) ),
inference(cnf_transformation,[],[f48]) ).
fof(f48,plain,
! [X0,X1,X2,X3,X4] :
( ( knows(concatenate(encrypt(sign(concatenate(kgen(X1),concatenate(X0,eol)),inverse(k_s)),X1),sign(concatenate(s,concatenate(k_s,eol)),inverse(k_ca))))
| second(extract(X2,X1)) != X1
| ~ knows(X2)
| ~ knows(X1)
| ~ knows(X0) )
& ( knows(symmetric_encrypt(secret,first(extract(decrypt(X3,inverse(k_c)),second(extract(X4,k_ca))))))
| n != second(extract(decrypt(X3,inverse(k_c)),second(extract(X4,k_ca))))
| s != first(extract(X4,k_ca))
| ~ knows(X4)
| ~ knows(X3) )
& knows(concatenate(n,concatenate(k_c,sign(concatenate(c,concatenate(k_c,eol)),inverse(k_c))))) ),
inference(flattening,[],[f47]) ).
fof(f47,plain,
! [X0,X1,X2,X3,X4] :
( ( knows(concatenate(encrypt(sign(concatenate(kgen(X1),concatenate(X0,eol)),inverse(k_s)),X1),sign(concatenate(s,concatenate(k_s,eol)),inverse(k_ca))))
| second(extract(X2,X1)) != X1
| ~ knows(X2)
| ~ knows(X1)
| ~ knows(X0) )
& ( knows(symmetric_encrypt(secret,first(extract(decrypt(X3,inverse(k_c)),second(extract(X4,k_ca))))))
| n != second(extract(decrypt(X3,inverse(k_c)),second(extract(X4,k_ca))))
| s != first(extract(X4,k_ca))
| ~ knows(X4)
| ~ knows(X3) )
& knows(concatenate(n,concatenate(k_c,sign(concatenate(c,concatenate(k_c,eol)),inverse(k_c))))) ),
inference(ennf_transformation,[],[f34]) ).
fof(f34,plain,
! [X0,X1,X2,X3,X4] :
( ( ( second(extract(X2,X1)) = X1
& knows(X2)
& knows(X1)
& knows(X0) )
=> knows(concatenate(encrypt(sign(concatenate(kgen(X1),concatenate(X0,eol)),inverse(k_s)),X1),sign(concatenate(s,concatenate(k_s,eol)),inverse(k_ca)))) )
& ( ( n = second(extract(decrypt(X3,inverse(k_c)),second(extract(X4,k_ca))))
& s = first(extract(X4,k_ca))
& knows(X4)
& knows(X3) )
=> knows(symmetric_encrypt(secret,first(extract(decrypt(X3,inverse(k_c)),second(extract(X4,k_ca)))))) )
& knows(concatenate(n,concatenate(k_c,sign(concatenate(c,concatenate(k_c,eol)),inverse(k_c))))) ),
inference(rectify,[],[f18]) ).
fof(f18,axiom,
! [X6,X7,X8,X9,X10] :
( ( ( second(extract(X8,X7)) = X7
& knows(X8)
& knows(X7)
& knows(X6) )
=> knows(concatenate(encrypt(sign(concatenate(kgen(X7),concatenate(X6,eol)),inverse(k_s)),X7),sign(concatenate(s,concatenate(k_s,eol)),inverse(k_ca)))) )
& ( ( n = second(extract(decrypt(X9,inverse(k_c)),second(extract(X10,k_ca))))
& first(extract(X10,k_ca)) = s
& knows(X10)
& knows(X9) )
=> knows(symmetric_encrypt(secret,first(extract(decrypt(X9,inverse(k_c)),second(extract(X10,k_ca)))))) )
& knows(concatenate(n,concatenate(k_c,sign(concatenate(c,concatenate(k_c,eol)),inverse(k_c))))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',protocol) ).
fof(f229,plain,
spl1_31,
inference(avatar_split_clause,[],[f86,f227]) ).
fof(f86,plain,
! [X2,X0,X1] :
( knows(concatenate(encrypt(sign(concatenate(kgen(X1),concatenate(X0,eol)),inverse(k_s)),X1),sign(concatenate(s,concatenate(k_s,eol)),inverse(k_ca))))
| head(tail(extract(X2,X1))) != X1
| ~ knows(X2)
| ~ knows(X1)
| ~ knows(X0) ),
inference(definition_unfolding,[],[f85,f58]) ).
fof(f85,plain,
! [X2,X0,X1] :
( knows(concatenate(encrypt(sign(concatenate(kgen(X1),concatenate(X0,eol)),inverse(k_s)),X1),sign(concatenate(s,concatenate(k_s,eol)),inverse(k_ca))))
| second(extract(X2,X1)) != X1
| ~ knows(X2)
| ~ knows(X1)
| ~ knows(X0) ),
inference(cnf_transformation,[],[f48]) ).
fof(f225,plain,
( spl1_30
| ~ spl1_10
| ~ spl1_29 ),
inference(avatar_split_clause,[],[f220,f215,f129,f222]) ).
fof(f220,plain,
( knows(n)
| ~ spl1_10
| ~ spl1_29 ),
inference(resolution,[],[f217,f130]) ).
fof(f218,plain,
spl1_29,
inference(avatar_split_clause,[],[f83,f215]) ).
fof(f83,plain,
knows(concatenate(n,concatenate(k_c,sign(concatenate(c,concatenate(k_c,eol)),inverse(k_c))))),
inference(cnf_transformation,[],[f48]) ).
fof(f211,plain,
spl1_28,
inference(avatar_split_clause,[],[f82,f209]) ).
fof(f82,plain,
! [X0,X1] :
( knows(X0)
| ~ knows(X1)
| ~ knows(sign(X0,inverse(X1))) ),
inference(cnf_transformation,[],[f46]) ).
fof(f46,plain,
! [X0,X1] :
( knows(X0)
| ~ knows(X1)
| ~ knows(sign(X0,inverse(X1))) ),
inference(flattening,[],[f45]) ).
fof(f45,plain,
! [X0,X1] :
( knows(X0)
| ~ knows(X1)
| ~ knows(sign(X0,inverse(X1))) ),
inference(ennf_transformation,[],[f33]) ).
fof(f33,plain,
! [X0,X1] :
( ( knows(X1)
& knows(sign(X0,inverse(X1))) )
=> knows(X0) ),
inference(rectify,[],[f3]) ).
fof(f3,axiom,
! [X2,X3] :
( ( knows(X3)
& knows(sign(X2,inverse(X3))) )
=> knows(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sign_equation) ).
fof(f207,plain,
spl1_27,
inference(avatar_split_clause,[],[f81,f205]) ).
fof(f81,plain,
! [X0,X1] :
( knows(X0)
| ~ knows(inverse(X1))
| ~ knows(encrypt(X0,X1)) ),
inference(cnf_transformation,[],[f44]) ).
fof(f44,plain,
! [X0,X1] :
( knows(X0)
| ~ knows(inverse(X1))
| ~ knows(encrypt(X0,X1)) ),
inference(flattening,[],[f43]) ).
fof(f43,plain,
! [X0,X1] :
( knows(X0)
| ~ knows(inverse(X1))
| ~ knows(encrypt(X0,X1)) ),
inference(ennf_transformation,[],[f1]) ).
fof(f1,axiom,
! [X0,X1] :
( ( knows(inverse(X1))
& knows(encrypt(X0,X1)) )
=> knows(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',encrypt_equation) ).
fof(f200,plain,
( spl1_26
| ~ spl1_10
| ~ spl1_13 ),
inference(avatar_split_clause,[],[f175,f143,f129,f198]) ).
fof(f198,plain,
( spl1_26
<=> ! [X0,X1] :
( ~ sP0(X0,X1)
| knows(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_26])]) ).
fof(f175,plain,
( ! [X0,X1] :
( ~ sP0(X0,X1)
| knows(X1) )
| ~ spl1_10
| ~ spl1_13 ),
inference(resolution,[],[f144,f130]) ).
fof(f196,plain,
spl1_25,
inference(avatar_split_clause,[],[f80,f194]) ).
fof(f80,plain,
! [X0,X1] :
( knows(X0)
| ~ knows(X1)
| ~ knows(symmetric_encrypt(X0,X1)) ),
inference(cnf_transformation,[],[f42]) ).
fof(f42,plain,
! [X0,X1] :
( knows(X0)
| ~ knows(X1)
| ~ knows(symmetric_encrypt(X0,X1)) ),
inference(flattening,[],[f41]) ).
fof(f41,plain,
! [X0,X1] :
( knows(X0)
| ~ knows(X1)
| ~ knows(symmetric_encrypt(X0,X1)) ),
inference(ennf_transformation,[],[f2]) ).
fof(f2,axiom,
! [X0,X1] :
( ( knows(X1)
& knows(symmetric_encrypt(X0,X1)) )
=> knows(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',symmetric_encrypt_equation) ).
fof(f192,plain,
spl1_24,
inference(avatar_split_clause,[],[f71,f190]) ).
fof(f190,plain,
( spl1_24
<=> ! [X0,X1] :
( knows(mac(X0,X1))
| ~ knows(X1)
| ~ knows(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_24])]) ).
fof(f71,plain,
! [X0,X1] :
( knows(mac(X0,X1))
| ~ knows(X1)
| ~ knows(X0) ),
inference(cnf_transformation,[],[f38]) ).
fof(f38,plain,
! [X0,X1] :
( knows(mac(X0,X1))
| ~ knows(X1)
| ~ knows(X0) ),
inference(flattening,[],[f37]) ).
fof(f37,plain,
! [X0,X1] :
( knows(mac(X0,X1))
| ~ knows(X1)
| ~ knows(X0) ),
inference(ennf_transformation,[],[f32]) ).
fof(f32,plain,
! [X0,X1] :
( ( knows(X1)
& knows(X0) )
=> knows(mac(X0,X1)) ),
inference(rectify,[],[f16]) ).
fof(f16,axiom,
! [X4,X5] :
( ( knows(X5)
& knows(X4) )
=> knows(mac(X4,X5)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',symmac_axiom) ).
fof(f188,plain,
spl1_23,
inference(avatar_split_clause,[],[f68,f186]) ).
fof(f68,plain,
! [X0,X1] : extract(sign(X0,inverse(X1)),X1) = X0,
inference(cnf_transformation,[],[f31]) ).
fof(f31,plain,
! [X0,X1] : extract(sign(X0,inverse(X1)),X1) = X0,
inference(rectify,[],[f9]) ).
fof(f9,axiom,
! [X2,X3] : extract(sign(X2,inverse(X3)),X3) = X2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sign_axiom) ).
fof(f184,plain,
spl1_22,
inference(avatar_split_clause,[],[f67,f182]) ).
fof(f67,plain,
! [X0,X1] : decrypt(encrypt(X0,X1),inverse(X1)) = X0,
inference(cnf_transformation,[],[f30]) ).
fof(f30,plain,
! [X0,X1] : decrypt(encrypt(X0,X1),inverse(X1)) = X0,
inference(rectify,[],[f7]) ).
fof(f7,axiom,
! [X2,X3] : decrypt(encrypt(X2,X3),inverse(X3)) = X2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',decrypt_axiom) ).
fof(f179,plain,
( spl1_21
| ~ spl1_11
| ~ spl1_13 ),
inference(avatar_split_clause,[],[f174,f143,f133,f177]) ).
fof(f174,plain,
( ! [X0,X1] :
( ~ sP0(X0,X1)
| knows(X0) )
| ~ spl1_11
| ~ spl1_13 ),
inference(resolution,[],[f144,f134]) ).
fof(f173,plain,
spl1_20,
inference(avatar_split_clause,[],[f79,f171]) ).
fof(f79,plain,
! [X0,X1] :
( sP0(X1,X0)
| ~ knows(X1)
| ~ knows(X0) ),
inference(cnf_transformation,[],[f50]) ).
fof(f50,plain,
! [X0,X1] :
( sP0(X1,X0)
| ~ knows(X1)
| ~ knows(X0) ),
inference(definition_folding,[],[f40,f49]) ).
fof(f49,plain,
! [X1,X0] :
( ( knows(sign(X0,X1))
& knows(extract(X0,X1))
& knows(symmetric_decrypt(X0,X1))
& knows(decrypt(X0,X1))
& knows(symmetric_encrypt(X0,X1))
& knows(encrypt(X0,X1))
& knows(concatenate(X0,X1)) )
| ~ sP0(X1,X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f40,plain,
! [X0,X1] :
( ( knows(sign(X0,X1))
& knows(extract(X0,X1))
& knows(symmetric_decrypt(X0,X1))
& knows(decrypt(X0,X1))
& knows(symmetric_encrypt(X0,X1))
& knows(encrypt(X0,X1))
& knows(concatenate(X0,X1)) )
| ~ knows(X1)
| ~ knows(X0) ),
inference(flattening,[],[f39]) ).
fof(f39,plain,
! [X0,X1] :
( ( knows(sign(X0,X1))
& knows(extract(X0,X1))
& knows(symmetric_decrypt(X0,X1))
& knows(decrypt(X0,X1))
& knows(symmetric_encrypt(X0,X1))
& knows(encrypt(X0,X1))
& knows(concatenate(X0,X1)) )
| ~ knows(X1)
| ~ knows(X0) ),
inference(ennf_transformation,[],[f4]) ).
fof(f4,axiom,
! [X0,X1] :
( ( knows(X1)
& knows(X0) )
=> ( knows(sign(X0,X1))
& knows(extract(X0,X1))
& knows(symmetric_decrypt(X0,X1))
& knows(decrypt(X0,X1))
& knows(symmetric_encrypt(X0,X1))
& knows(encrypt(X0,X1))
& knows(concatenate(X0,X1)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',construct_message_1) ).
fof(f169,plain,
spl1_19,
inference(avatar_split_clause,[],[f78,f167]) ).
fof(f78,plain,
! [X0,X1] :
( knows(sign(X1,X0))
| ~ sP0(X0,X1) ),
inference(cnf_transformation,[],[f52]) ).
fof(f52,plain,
! [X0,X1] :
( ( knows(sign(X1,X0))
& knows(extract(X1,X0))
& knows(symmetric_decrypt(X1,X0))
& knows(decrypt(X1,X0))
& knows(symmetric_encrypt(X1,X0))
& knows(encrypt(X1,X0))
& knows(concatenate(X1,X0)) )
| ~ sP0(X0,X1) ),
inference(rectify,[],[f51]) ).
fof(f51,plain,
! [X1,X0] :
( ( knows(sign(X0,X1))
& knows(extract(X0,X1))
& knows(symmetric_decrypt(X0,X1))
& knows(decrypt(X0,X1))
& knows(symmetric_encrypt(X0,X1))
& knows(encrypt(X0,X1))
& knows(concatenate(X0,X1)) )
| ~ sP0(X1,X0) ),
inference(nnf_transformation,[],[f49]) ).
fof(f165,plain,
spl1_18,
inference(avatar_split_clause,[],[f77,f163]) ).
fof(f77,plain,
! [X0,X1] :
( knows(extract(X1,X0))
| ~ sP0(X0,X1) ),
inference(cnf_transformation,[],[f52]) ).
fof(f161,plain,
spl1_17,
inference(avatar_split_clause,[],[f76,f159]) ).
fof(f76,plain,
! [X0,X1] :
( knows(symmetric_decrypt(X1,X0))
| ~ sP0(X0,X1) ),
inference(cnf_transformation,[],[f52]) ).
fof(f157,plain,
spl1_16,
inference(avatar_split_clause,[],[f75,f155]) ).
fof(f75,plain,
! [X0,X1] :
( knows(decrypt(X1,X0))
| ~ sP0(X0,X1) ),
inference(cnf_transformation,[],[f52]) ).
fof(f153,plain,
spl1_15,
inference(avatar_split_clause,[],[f74,f151]) ).
fof(f151,plain,
( spl1_15
<=> ! [X0,X1] :
( knows(symmetric_encrypt(X1,X0))
| ~ sP0(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_15])]) ).
fof(f74,plain,
! [X0,X1] :
( knows(symmetric_encrypt(X1,X0))
| ~ sP0(X0,X1) ),
inference(cnf_transformation,[],[f52]) ).
fof(f149,plain,
spl1_14,
inference(avatar_split_clause,[],[f73,f147]) ).
fof(f73,plain,
! [X0,X1] :
( knows(encrypt(X1,X0))
| ~ sP0(X0,X1) ),
inference(cnf_transformation,[],[f52]) ).
fof(f145,plain,
spl1_13,
inference(avatar_split_clause,[],[f72,f143]) ).
fof(f72,plain,
! [X0,X1] :
( knows(concatenate(X1,X0))
| ~ sP0(X0,X1) ),
inference(cnf_transformation,[],[f52]) ).
fof(f141,plain,
spl1_12,
inference(avatar_split_clause,[],[f66,f139]) ).
fof(f66,plain,
! [X0,X1] : symmetric_decrypt(symmetric_encrypt(X0,X1),X1) = X0,
inference(cnf_transformation,[],[f29]) ).
fof(f29,plain,
! [X0,X1] : symmetric_decrypt(symmetric_encrypt(X0,X1),X1) = X0,
inference(rectify,[],[f8]) ).
fof(f8,axiom,
! [X2,X3] : symmetric_decrypt(symmetric_encrypt(X2,X3),X3) = X2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',symmetric_decrypt_axiom) ).
fof(f135,plain,
spl1_11,
inference(avatar_split_clause,[],[f70,f133]) ).
fof(f70,plain,
! [X0,X1] :
( knows(X1)
| ~ knows(concatenate(X0,X1)) ),
inference(cnf_transformation,[],[f36]) ).
fof(f36,plain,
! [X0,X1] :
( ( knows(X1)
& knows(X0) )
| ~ knows(concatenate(X0,X1)) ),
inference(ennf_transformation,[],[f5]) ).
fof(f5,axiom,
! [X0,X1] :
( knows(concatenate(X0,X1))
=> ( knows(X1)
& knows(X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',construct_message_2) ).
fof(f131,plain,
spl1_10,
inference(avatar_split_clause,[],[f69,f129]) ).
fof(f69,plain,
! [X0,X1] :
( knows(X0)
| ~ knows(concatenate(X0,X1)) ),
inference(cnf_transformation,[],[f36]) ).
fof(f127,plain,
spl1_9,
inference(avatar_split_clause,[],[f65,f125]) ).
fof(f65,plain,
! [X0,X1] : tail(concatenate(X0,X1)) = X1,
inference(cnf_transformation,[],[f28]) ).
fof(f28,plain,
! [X0,X1] : tail(concatenate(X0,X1)) = X1,
inference(rectify,[],[f11]) ).
fof(f11,axiom,
! [X4,X5] : tail(concatenate(X4,X5)) = X5,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',tail_axiom) ).
fof(f123,plain,
spl1_8,
inference(avatar_split_clause,[],[f64,f121]) ).
fof(f64,plain,
! [X0,X1] : head(concatenate(X0,X1)) = X0,
inference(cnf_transformation,[],[f27]) ).
fof(f27,plain,
! [X0,X1] : head(concatenate(X0,X1)) = X0,
inference(rectify,[],[f10]) ).
fof(f10,axiom,
! [X4,X5] : head(concatenate(X4,X5)) = X4,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',head_axiom) ).
fof(f119,plain,
spl1_7,
inference(avatar_split_clause,[],[f63,f117]) ).
fof(f117,plain,
( spl1_7
<=> ! [X0] :
( knows(hash(X0))
| ~ knows(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_7])]) ).
fof(f63,plain,
! [X0] :
( knows(hash(X0))
| ~ knows(X0) ),
inference(cnf_transformation,[],[f35]) ).
fof(f35,plain,
! [X0] :
( ( knows(hash(X0))
& knows(tail(X0))
& knows(head(X0)) )
| ~ knows(X0) ),
inference(ennf_transformation,[],[f26]) ).
fof(f26,plain,
! [X0] :
( knows(X0)
=> ( knows(hash(X0))
& knows(tail(X0))
& knows(head(X0)) ) ),
inference(rectify,[],[f6]) ).
fof(f6,axiom,
! [X2] :
( knows(X2)
=> ( knows(hash(X2))
& knows(tail(X2))
& knows(head(X2)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',construct_message_3) ).
fof(f115,plain,
spl1_6,
inference(avatar_split_clause,[],[f62,f113]) ).
fof(f113,plain,
( spl1_6
<=> ! [X0] :
( knows(tail(X0))
| ~ knows(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_6])]) ).
fof(f62,plain,
! [X0] :
( knows(tail(X0))
| ~ knows(X0) ),
inference(cnf_transformation,[],[f35]) ).
fof(f111,plain,
spl1_5,
inference(avatar_split_clause,[],[f61,f109]) ).
fof(f61,plain,
! [X0] :
( knows(head(X0))
| ~ knows(X0) ),
inference(cnf_transformation,[],[f35]) ).
fof(f107,plain,
spl1_4,
inference(avatar_split_clause,[],[f55,f104]) ).
fof(f55,plain,
knows(inverse(k_a)),
inference(cnf_transformation,[],[f17]) ).
fof(f17,axiom,
( knows(k_a)
& knows(inverse(k_a))
& knows(k_ca) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',previous_knowledge) ).
fof(f102,plain,
spl1_3,
inference(avatar_split_clause,[],[f56,f99]) ).
fof(f56,plain,
knows(k_a),
inference(cnf_transformation,[],[f17]) ).
fof(f97,plain,
spl1_2,
inference(avatar_split_clause,[],[f54,f94]) ).
fof(f54,plain,
knows(k_ca),
inference(cnf_transformation,[],[f17]) ).
fof(f92,plain,
~ spl1_1,
inference(avatar_split_clause,[],[f53,f89]) ).
fof(f53,plain,
~ knows(secret),
inference(cnf_transformation,[],[f21]) ).
fof(f21,plain,
~ knows(secret),
inference(flattening,[],[f20]) ).
fof(f20,negated_conjecture,
~ knows(secret),
inference(negated_conjecture,[],[f19]) ).
fof(f19,conjecture,
knows(secret),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',attack) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09 % Problem : SWV233+1 : TPTP v8.1.2. Released v3.2.0.
% 0.00/0.11 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.10/0.31 % Computer : n017.cluster.edu
% 0.10/0.31 % Model : x86_64 x86_64
% 0.10/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31 % Memory : 8042.1875MB
% 0.10/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31 % CPULimit : 300
% 0.10/0.31 % WCLimit : 300
% 0.10/0.31 % DateTime : Fri May 3 21:07:07 EDT 2024
% 0.16/0.31 % CPUTime :
% 0.16/0.31 % (3664)Running in auto input_syntax mode. Trying TPTP
% 0.16/0.33 % (3667)WARNING: value z3 for option sas not known
% 0.16/0.33 % (3666)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.16/0.33 % (3669)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.16/0.33 % (3667)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.16/0.33 % (3670)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.16/0.33 % (3668)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.16/0.33 % (3665)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.16/0.33 % (3671)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.16/0.33 TRYING [1]
% 0.16/0.33 TRYING [2]
% 0.16/0.34 TRYING [3]
% 0.16/0.34 TRYING [1]
% 0.16/0.34 TRYING [2]
% 0.16/0.35 TRYING [4]
% 0.16/0.35 TRYING [3]
% 0.16/0.36 TRYING [5]
% 0.16/0.37 TRYING [4]
% 0.16/0.39 TRYING [6]
% 0.16/0.39 % (3669)First to succeed.
% 0.16/0.40 % (3669)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3664"
% 0.16/0.40 % (3669)Refutation found. Thanks to Tanya!
% 0.16/0.40 % SZS status Theorem for theBenchmark
% 0.16/0.40 % SZS output start Proof for theBenchmark
% See solution above
% 0.16/0.41 % (3669)------------------------------
% 0.16/0.41 % (3669)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.16/0.41 % (3669)Termination reason: Refutation
% 0.16/0.41
% 0.16/0.41 % (3669)Memory used [KB]: 1593
% 0.16/0.41 % (3669)Time elapsed: 0.074 s
% 0.16/0.41 % (3669)Instructions burned: 134 (million)
% 0.16/0.41 % (3664)Success in time 0.09 s
%------------------------------------------------------------------------------