TSTP Solution File: SWW960+1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SWW960+1 : TPTP v8.1.2. Released v7.4.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n024.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 11:55:25 EDT 2024
% Result : Theorem 0.22s 0.43s
% Output : Refutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 114
% Syntax : Number of formulae : 745 ( 182 unt; 0 def)
% Number of atoms : 1761 ( 115 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 1992 ( 976 ~; 873 |; 42 &)
% ( 44 <=>; 57 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 4 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 49 ( 47 usr; 45 prp; 0-2 aty)
% Number of functors : 48 ( 48 usr; 16 con; 0-2 aty)
% Number of variables : 629 ( 627 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1643,plain,
$false,
inference(avatar_sat_refutation,[],[f543,f557,f569,f593,f602,f616,f680,f681,f682,f683,f684,f685,f686,f687,f688,f689,f690,f691,f692,f693,f694,f695,f696,f697,f698,f699,f700,f701,f702,f703,f704,f705,f706,f707,f771,f772,f773,f774,f775,f776,f777,f778,f779,f780,f781,f782,f783,f784,f785,f786,f787,f788,f789,f790,f791,f792,f793,f794,f795,f796,f797,f798,f862,f863,f864,f865,f866,f867,f868,f869,f870,f871,f872,f873,f874,f875,f876,f877,f878,f879,f880,f881,f882,f883,f884,f885,f886,f887,f888,f889,f892,f902,f956,f1036,f1037,f1038,f1039,f1040,f1041,f1042,f1043,f1044,f1045,f1046,f1047,f1048,f1049,f1050,f1051,f1052,f1053,f1054,f1055,f1056,f1057,f1058,f1059,f1060,f1061,f1062,f1063,f1064,f1065,f1066,f1067,f1068,f1069,f1070,f1087,f1090,f1150,f1192,f1211,f1235,f1268,f1289,f1312,f1438,f1441,f1444,f1447,f1450,f1453,f1456,f1459,f1465,f1470,f1475,f1480,f1485,f1490,f1500,f1515,f1520,f1547,f1576,f1581,f1586,f1591,f1596,f1608,f1613,f1634,f1640,f1642]) ).
fof(f1642,plain,
( spl1_1
| ~ spl1_44 ),
inference(avatar_contradiction_clause,[],[f1641]) ).
fof(f1641,plain,
( $false
| spl1_1
| ~ spl1_44 ),
inference(resolution,[],[f1639,f538]) ).
fof(f538,plain,
( ~ pred_attacker(name_Nb(sK0))
| spl1_1 ),
inference(avatar_component_clause,[],[f536]) ).
fof(f536,plain,
( spl1_1
<=> pred_attacker(name_Nb(sK0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_1])]) ).
fof(f1639,plain,
( ! [X1] : pred_attacker(name_Nb(X1))
| ~ spl1_44 ),
inference(avatar_component_clause,[],[f1638]) ).
fof(f1638,plain,
( spl1_44
<=> ! [X1] : pred_attacker(name_Nb(X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_44])]) ).
fof(f1640,plain,
( spl1_44
| spl1_16
| ~ spl1_43 ),
inference(avatar_split_clause,[],[f1636,f1632,f951,f1638]) ).
fof(f951,plain,
( spl1_16
<=> ! [X1] : ~ pred_attacker(X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_16])]) ).
fof(f1632,plain,
( spl1_43
<=> ! [X0,X1] :
( pred_attacker(constr_aenc(name_Nb(X0),X1))
| ~ pred_attacker(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_43])]) ).
fof(f1636,plain,
( ! [X0,X1] :
( ~ pred_attacker(X0)
| pred_attacker(name_Nb(X1)) )
| ~ spl1_43 ),
inference(subsumption_resolution,[],[f1635,f443]) ).
fof(f443,plain,
! [X0] :
( pred_attacker(constr_pkey(X0))
| ~ pred_attacker(X0) ),
inference(cnf_transformation,[],[f263]) ).
fof(f263,plain,
! [X0] :
( pred_attacker(constr_pkey(X0))
| ~ pred_attacker(X0) ),
inference(ennf_transformation,[],[f192]) ).
fof(f192,plain,
! [X0] :
( pred_attacker(X0)
=> pred_attacker(constr_pkey(X0)) ),
inference(rectify,[],[f94]) ).
fof(f94,axiom,
! [X24] :
( pred_attacker(X24)
=> pred_attacker(constr_pkey(X24)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax93) ).
fof(f1635,plain,
( ! [X0,X1] :
( ~ pred_attacker(constr_pkey(X0))
| ~ pred_attacker(X0)
| pred_attacker(name_Nb(X1)) )
| ~ spl1_43 ),
inference(resolution,[],[f1633,f530]) ).
fof(f530,plain,
! [X0,X1] :
( ~ pred_attacker(constr_aenc(X0,constr_pkey(X1)))
| ~ pred_attacker(X1)
| pred_attacker(X0) ),
inference(superposition,[],[f485,f464]) ).
fof(f464,plain,
! [X0,X1] : constr_adec(constr_aenc(X1,constr_pkey(X0)),X0) = X1,
inference(cnf_transformation,[],[f79]) ).
fof(f79,axiom,
! [X0,X1] : constr_adec(constr_aenc(X1,constr_pkey(X0)),X0) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax78) ).
fof(f485,plain,
! [X0,X1] :
( pred_attacker(constr_adec(X0,X1))
| ~ pred_attacker(X1)
| ~ pred_attacker(X0) ),
inference(cnf_transformation,[],[f306]) ).
fof(f306,plain,
! [X0,X1] :
( pred_attacker(constr_adec(X0,X1))
| ~ pred_attacker(X1)
| ~ pred_attacker(X0) ),
inference(flattening,[],[f305]) ).
fof(f305,plain,
! [X0,X1] :
( pred_attacker(constr_adec(X0,X1))
| ~ pred_attacker(X1)
| ~ pred_attacker(X0) ),
inference(ennf_transformation,[],[f233]) ).
fof(f233,plain,
! [X0,X1] :
( ( pred_attacker(X1)
& pred_attacker(X0) )
=> pred_attacker(constr_adec(X0,X1)) ),
inference(rectify,[],[f139]) ).
fof(f139,axiom,
! [X84,X85] :
( ( pred_attacker(X85)
& pred_attacker(X84) )
=> pred_attacker(constr_adec(X84,X85)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax138) ).
fof(f1633,plain,
( ! [X0,X1] :
( pred_attacker(constr_aenc(name_Nb(X0),X1))
| ~ pred_attacker(X1) )
| ~ spl1_43 ),
inference(avatar_component_clause,[],[f1632]) ).
fof(f1634,plain,
( spl1_25
| spl1_43
| ~ spl1_24
| ~ spl1_40 ),
inference(avatar_split_clause,[],[f1601,f1594,f1287,f1632,f1307]) ).
fof(f1307,plain,
( spl1_25
<=> ! [X1] :
( name_B = X1
| ~ pred_attacker(X1)
| name_A = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_25])]) ).
fof(f1287,plain,
( spl1_24
<=> ! [X0,X1] :
( pred_attacker(tuple_key_retrieval_server_out_2(constr_sign(tuple_2(X0,X1),name_skS)))
| ~ pred_attacker(X0)
| ~ pred_attacker(X1)
| name_B = X0
| name_A = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_24])]) ).
fof(f1594,plain,
( spl1_40
<=> ! [X2,X1] :
( ~ pred_attacker(tuple_client_A_in_2(constr_sign(X1,name_skS)))
| pred_attacker(constr_aenc(name_Nb(X2),constr_tuple_2_get_1_bitstring(X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_40])]) ).
fof(f1601,plain,
( ! [X2,X0,X1] :
( pred_attacker(constr_aenc(name_Nb(X0),X1))
| ~ pred_attacker(X1)
| name_B = X2
| name_A = X2
| ~ pred_attacker(X2) )
| ~ spl1_24
| ~ spl1_40 ),
inference(resolution,[],[f1598,f1290]) ).
fof(f1290,plain,
( ! [X0,X1] :
( pred_attacker(constr_sign(tuple_2(X0,X1),name_skS))
| ~ pred_attacker(X1)
| name_B = X0
| name_A = X0
| ~ pred_attacker(X0) )
| ~ spl1_24 ),
inference(resolution,[],[f1288,f445]) ).
fof(f445,plain,
! [X0] :
( ~ pred_attacker(tuple_key_retrieval_server_out_2(X0))
| pred_attacker(X0) ),
inference(cnf_transformation,[],[f265]) ).
fof(f265,plain,
! [X0] :
( pred_attacker(X0)
| ~ pred_attacker(tuple_key_retrieval_server_out_2(X0)) ),
inference(ennf_transformation,[],[f194]) ).
fof(f194,plain,
! [X0] :
( pred_attacker(tuple_key_retrieval_server_out_2(X0))
=> pred_attacker(X0) ),
inference(rectify,[],[f102]) ).
fof(f102,axiom,
! [X32] :
( pred_attacker(tuple_key_retrieval_server_out_2(X32))
=> pred_attacker(X32) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax101) ).
fof(f1288,plain,
( ! [X0,X1] :
( pred_attacker(tuple_key_retrieval_server_out_2(constr_sign(tuple_2(X0,X1),name_skS)))
| ~ pred_attacker(X0)
| ~ pred_attacker(X1)
| name_B = X0
| name_A = X0 )
| ~ spl1_24 ),
inference(avatar_component_clause,[],[f1287]) ).
fof(f1598,plain,
( ! [X2,X0,X1] :
( ~ pred_attacker(constr_sign(tuple_2(X2,X1),name_skS))
| pred_attacker(constr_aenc(name_Nb(X0),X1)) )
| ~ spl1_40 ),
inference(resolution,[],[f1597,f437]) ).
fof(f437,plain,
! [X0] :
( pred_attacker(tuple_client_A_in_2(X0))
| ~ pred_attacker(X0) ),
inference(cnf_transformation,[],[f257]) ).
fof(f257,plain,
! [X0] :
( pred_attacker(tuple_client_A_in_2(X0))
| ~ pred_attacker(X0) ),
inference(ennf_transformation,[],[f186]) ).
fof(f186,plain,
! [X0] :
( pred_attacker(X0)
=> pred_attacker(tuple_client_A_in_2(X0)) ),
inference(rectify,[],[f135]) ).
fof(f135,axiom,
! [X78] :
( pred_attacker(X78)
=> pred_attacker(tuple_client_A_in_2(X78)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax134) ).
fof(f1597,plain,
( ! [X2,X0,X1] :
( ~ pred_attacker(tuple_client_A_in_2(constr_sign(tuple_2(X0,X1),name_skS)))
| pred_attacker(constr_aenc(name_Nb(X2),X1)) )
| ~ spl1_40 ),
inference(superposition,[],[f1595,f461]) ).
fof(f461,plain,
! [X0,X1] : constr_tuple_2_get_1_bitstring(tuple_2(X0,X1)) = X1,
inference(cnf_transformation,[],[f210]) ).
fof(f210,plain,
! [X0,X1] : constr_tuple_2_get_1_bitstring(tuple_2(X0,X1)) = X1,
inference(rectify,[],[f83]) ).
fof(f83,axiom,
! [X8,X9] : constr_tuple_2_get_1_bitstring(tuple_2(X8,X9)) = X9,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax82) ).
fof(f1595,plain,
( ! [X2,X1] :
( pred_attacker(constr_aenc(name_Nb(X2),constr_tuple_2_get_1_bitstring(X1)))
| ~ pred_attacker(tuple_client_A_in_2(constr_sign(X1,name_skS))) )
| ~ spl1_40 ),
inference(avatar_component_clause,[],[f1594]) ).
fof(f1613,plain,
( spl1_42
| spl1_11
| ~ spl1_5 ),
inference(avatar_split_clause,[],[f1570,f563,f607,f1611]) ).
fof(f1611,plain,
( spl1_42
<=> ! [X2,X1] :
( pred_attacker(tuple_client_A_out_5(constr_aenc(name_Nb(X1),constr_tuple_2_get_1_bitstring(X2))))
| ~ pred_attacker(tuple_client_A_in_2(constr_sign(X2,name_skS))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_42])]) ).
fof(f607,plain,
( spl1_11
<=> ! [X1] : ~ pred_attacker(tuple_client_B_in_3(X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_11])]) ).
fof(f563,plain,
( spl1_5
<=> pred_attacker(tuple_key_retrieval_server_out_2(constr_sign(tuple_2(name_A,constr_pkey(name_skA)),name_skS))) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_5])]) ).
fof(f1570,plain,
( ! [X2,X0,X1] :
( ~ pred_attacker(tuple_client_B_in_3(X0))
| pred_attacker(tuple_client_A_out_5(constr_aenc(name_Nb(X1),constr_tuple_2_get_1_bitstring(X2))))
| ~ pred_attacker(tuple_client_A_in_2(constr_sign(X2,name_skS))) )
| ~ spl1_5 ),
inference(resolution,[],[f1558,f1238]) ).
fof(f1238,plain,
! [X2,X0,X1] :
( ~ pred_attacker(constr_aenc(tuple_2(X2,X1),constr_pkey(name_skA)))
| pred_attacker(tuple_client_A_out_5(constr_aenc(X1,constr_tuple_2_get_1_bitstring(X0))))
| ~ pred_attacker(tuple_client_A_in_2(constr_sign(X0,name_skS))) ),
inference(resolution,[],[f1162,f427]) ).
fof(f427,plain,
! [X0] :
( pred_attacker(tuple_client_A_in_4(X0))
| ~ pred_attacker(X0) ),
inference(cnf_transformation,[],[f247]) ).
fof(f247,plain,
! [X0] :
( pred_attacker(tuple_client_A_in_4(X0))
| ~ pred_attacker(X0) ),
inference(ennf_transformation,[],[f176]) ).
fof(f176,plain,
! [X0] :
( pred_attacker(X0)
=> pred_attacker(tuple_client_A_in_4(X0)) ),
inference(rectify,[],[f133]) ).
fof(f133,axiom,
! [X76] :
( pred_attacker(X76)
=> pred_attacker(tuple_client_A_in_4(X76)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax132) ).
fof(f1162,plain,
! [X2,X0,X1] :
( ~ pred_attacker(tuple_client_A_in_4(constr_aenc(tuple_2(X0,X1),constr_pkey(name_skA))))
| ~ pred_attacker(tuple_client_A_in_2(constr_sign(X2,name_skS)))
| pred_attacker(tuple_client_A_out_5(constr_aenc(X1,constr_tuple_2_get_1_bitstring(X2)))) ),
inference(superposition,[],[f919,f461]) ).
fof(f919,plain,
! [X0,X1] :
( pred_attacker(tuple_client_A_out_5(constr_aenc(constr_tuple_2_get_1_bitstring(X0),constr_tuple_2_get_1_bitstring(X1))))
| ~ pred_attacker(tuple_client_A_in_2(constr_sign(X1,name_skS)))
| ~ pred_attacker(tuple_client_A_in_4(constr_aenc(X0,constr_pkey(name_skA)))) ),
inference(superposition,[],[f911,f464]) ).
fof(f911,plain,
! [X0,X1] :
( pred_attacker(tuple_client_A_out_5(constr_aenc(constr_tuple_2_get_1_bitstring(constr_adec(X1,name_skA)),constr_tuple_2_get_1_bitstring(X0))))
| ~ pred_attacker(tuple_client_A_in_2(constr_sign(X0,name_skS)))
| ~ pred_attacker(tuple_client_A_in_4(X1)) ),
inference(superposition,[],[f894,f465]) ).
fof(f465,plain,
! [X0,X1] : constr_checksign(constr_sign(X1,X0),constr_pkey(X0)) = X1,
inference(cnf_transformation,[],[f213]) ).
fof(f213,plain,
! [X0,X1] : constr_checksign(constr_sign(X1,X0),constr_pkey(X0)) = X1,
inference(rectify,[],[f82]) ).
fof(f82,axiom,
! [X6,X7] : constr_checksign(constr_sign(X7,X6),constr_pkey(X6)) = X7,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax81) ).
fof(f894,plain,
! [X2,X1] :
( pred_attacker(tuple_client_A_out_5(constr_aenc(constr_tuple_2_get_1_bitstring(constr_adec(X1,name_skA)),constr_tuple_2_get_1_bitstring(constr_checksign(X2,constr_pkey(name_skS))))))
| ~ pred_attacker(tuple_client_A_in_2(X2))
| ~ pred_attacker(tuple_client_A_in_4(X1)) ),
inference(subsumption_resolution,[],[f893,f457]) ).
fof(f457,plain,
! [X0,X1] : pred_eq_bitstring_bitstring(X0,X1),
inference(cnf_transformation,[],[f206]) ).
fof(f206,plain,
! [X0,X1] : pred_eq_bitstring_bitstring(X0,X1),
inference(rectify,[],[f87]) ).
fof(f87,axiom,
! [X16,X17] : pred_eq_bitstring_bitstring(X16,X17),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax86) ).
fof(f893,plain,
! [X2,X0,X1] :
( pred_attacker(tuple_client_A_out_5(constr_aenc(constr_tuple_2_get_1_bitstring(constr_adec(X1,name_skA)),constr_tuple_2_get_1_bitstring(constr_checksign(X2,constr_pkey(name_skS))))))
| ~ pred_attacker(tuple_client_A_in_2(X2))
| ~ pred_attacker(tuple_client_A_in_4(X1))
| ~ pred_eq_bitstring_bitstring(name_Na(X0),constr_tuple_2_get_0x30(constr_adec(X1,name_skA))) ),
inference(subsumption_resolution,[],[f493,f457]) ).
fof(f493,plain,
! [X2,X0,X1] :
( pred_attacker(tuple_client_A_out_5(constr_aenc(constr_tuple_2_get_1_bitstring(constr_adec(X1,name_skA)),constr_tuple_2_get_1_bitstring(constr_checksign(X2,constr_pkey(name_skS))))))
| ~ pred_attacker(tuple_client_A_in_2(X2))
| ~ pred_eq_bitstring_bitstring(name_I,constr_tuple_2_get_0x30(constr_checksign(X2,constr_pkey(name_skS))))
| ~ pred_attacker(tuple_client_A_in_4(X1))
| ~ pred_eq_bitstring_bitstring(name_Na(X0),constr_tuple_2_get_0x30(constr_adec(X1,name_skA))) ),
inference(cnf_transformation,[],[f322]) ).
fof(f322,plain,
! [X0,X1,X2] :
( pred_attacker(tuple_client_A_out_5(constr_aenc(constr_tuple_2_get_1_bitstring(constr_adec(X1,name_skA)),constr_tuple_2_get_1_bitstring(constr_checksign(X2,constr_pkey(name_skS))))))
| ~ pred_attacker(tuple_client_A_in_2(X2))
| ~ pred_eq_bitstring_bitstring(name_I,constr_tuple_2_get_0x30(constr_checksign(X2,constr_pkey(name_skS))))
| ~ pred_attacker(tuple_client_A_in_4(X1))
| ~ pred_eq_bitstring_bitstring(name_Na(X0),constr_tuple_2_get_0x30(constr_adec(X1,name_skA))) ),
inference(flattening,[],[f321]) ).
fof(f321,plain,
! [X0,X1,X2] :
( pred_attacker(tuple_client_A_out_5(constr_aenc(constr_tuple_2_get_1_bitstring(constr_adec(X1,name_skA)),constr_tuple_2_get_1_bitstring(constr_checksign(X2,constr_pkey(name_skS))))))
| ~ pred_attacker(tuple_client_A_in_2(X2))
| ~ pred_eq_bitstring_bitstring(name_I,constr_tuple_2_get_0x30(constr_checksign(X2,constr_pkey(name_skS))))
| ~ pred_attacker(tuple_client_A_in_4(X1))
| ~ pred_eq_bitstring_bitstring(name_Na(X0),constr_tuple_2_get_0x30(constr_adec(X1,name_skA))) ),
inference(ennf_transformation,[],[f241]) ).
fof(f241,plain,
! [X0,X1,X2] :
( ( pred_attacker(tuple_client_A_in_2(X2))
& pred_eq_bitstring_bitstring(name_I,constr_tuple_2_get_0x30(constr_checksign(X2,constr_pkey(name_skS))))
& pred_attacker(tuple_client_A_in_4(X1))
& pred_eq_bitstring_bitstring(name_Na(X0),constr_tuple_2_get_0x30(constr_adec(X1,name_skA))) )
=> pred_attacker(tuple_client_A_out_5(constr_aenc(constr_tuple_2_get_1_bitstring(constr_adec(X1,name_skA)),constr_tuple_2_get_1_bitstring(constr_checksign(X2,constr_pkey(name_skS)))))) ),
inference(rectify,[],[f163]) ).
fof(f163,axiom,
! [X100,X101,X102] :
( ( pred_attacker(tuple_client_A_in_2(X102))
& pred_eq_bitstring_bitstring(name_I,constr_tuple_2_get_0x30(constr_checksign(X102,constr_pkey(name_skS))))
& pred_attacker(tuple_client_A_in_4(X101))
& pred_eq_bitstring_bitstring(name_Na(X100),constr_tuple_2_get_0x30(constr_adec(X101,name_skA))) )
=> pred_attacker(tuple_client_A_out_5(constr_aenc(constr_tuple_2_get_1_bitstring(constr_adec(X101,name_skA)),constr_tuple_2_get_1_bitstring(constr_checksign(X102,constr_pkey(name_skS)))))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax162) ).
fof(f1558,plain,
( ! [X0,X1] :
( pred_attacker(constr_aenc(tuple_2(constr_tuple_2_get_0x30_bitstring(constr_adec(X0,name_skB)),name_Nb(X1)),constr_pkey(name_skA)))
| ~ pred_attacker(tuple_client_B_in_3(X0)) )
| ~ spl1_5 ),
inference(resolution,[],[f1556,f570]) ).
fof(f570,plain,
( pred_attacker(constr_sign(tuple_2(name_A,constr_pkey(name_skA)),name_skS))
| ~ spl1_5 ),
inference(resolution,[],[f565,f445]) ).
fof(f565,plain,
( pred_attacker(tuple_key_retrieval_server_out_2(constr_sign(tuple_2(name_A,constr_pkey(name_skA)),name_skS)))
| ~ spl1_5 ),
inference(avatar_component_clause,[],[f563]) ).
fof(f1556,plain,
! [X2,X3,X0,X1] :
( ~ pred_attacker(constr_sign(tuple_2(X3,X2),name_skS))
| pred_attacker(constr_aenc(tuple_2(constr_tuple_2_get_0x30_bitstring(constr_adec(X0,name_skB)),name_Nb(X1)),X2))
| ~ pred_attacker(tuple_client_B_in_3(X0)) ),
inference(resolution,[],[f1214,f438]) ).
fof(f438,plain,
! [X0] :
( pred_attacker(tuple_client_B_in_2(X0))
| ~ pred_attacker(X0) ),
inference(cnf_transformation,[],[f258]) ).
fof(f258,plain,
! [X0] :
( pred_attacker(tuple_client_B_in_2(X0))
| ~ pred_attacker(X0) ),
inference(ennf_transformation,[],[f187]) ).
fof(f187,plain,
! [X0] :
( pred_attacker(X0)
=> pred_attacker(tuple_client_B_in_2(X0)) ),
inference(rectify,[],[f124]) ).
fof(f124,axiom,
! [X64] :
( pred_attacker(X64)
=> pred_attacker(tuple_client_B_in_2(X64)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax123) ).
fof(f1214,plain,
! [X2,X3,X0,X1] :
( ~ pred_attacker(tuple_client_B_in_2(constr_sign(tuple_2(X0,X1),name_skS)))
| ~ pred_attacker(tuple_client_B_in_3(X2))
| pred_attacker(constr_aenc(tuple_2(constr_tuple_2_get_0x30_bitstring(constr_adec(X2,name_skB)),name_Nb(X3)),X1)) ),
inference(superposition,[],[f1119,f461]) ).
fof(f1119,plain,
! [X2,X0,X1] :
( pred_attacker(constr_aenc(tuple_2(constr_tuple_2_get_0x30_bitstring(constr_adec(X1,name_skB)),name_Nb(X2)),constr_tuple_2_get_1_bitstring(X0)))
| ~ pred_attacker(tuple_client_B_in_3(X1))
| ~ pred_attacker(tuple_client_B_in_2(constr_sign(X0,name_skS))) ),
inference(superposition,[],[f938,f465]) ).
fof(f938,plain,
! [X2,X0,X1] :
( pred_attacker(constr_aenc(tuple_2(constr_tuple_2_get_0x30_bitstring(constr_adec(X1,name_skB)),name_Nb(X2)),constr_tuple_2_get_1_bitstring(constr_checksign(X0,constr_pkey(name_skS)))))
| ~ pred_attacker(tuple_client_B_in_3(X1))
| ~ pred_attacker(tuple_client_B_in_2(X0)) ),
inference(resolution,[],[f917,f447]) ).
fof(f447,plain,
! [X0] :
( ~ pred_attacker(tuple_client_B_out_4(X0))
| pred_attacker(X0) ),
inference(cnf_transformation,[],[f267]) ).
fof(f267,plain,
! [X0] :
( pred_attacker(X0)
| ~ pred_attacker(tuple_client_B_out_4(X0)) ),
inference(ennf_transformation,[],[f196]) ).
fof(f196,plain,
! [X0] :
( pred_attacker(tuple_client_B_out_4(X0))
=> pred_attacker(X0) ),
inference(rectify,[],[f116]) ).
fof(f116,axiom,
! [X53] :
( pred_attacker(tuple_client_B_out_4(X53))
=> pred_attacker(X53) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax115) ).
fof(f917,plain,
! [X2,X0,X1] :
( pred_attacker(tuple_client_B_out_4(constr_aenc(tuple_2(constr_tuple_2_get_0x30_bitstring(constr_adec(X1,name_skB)),name_Nb(X0)),constr_tuple_2_get_1_bitstring(constr_checksign(X2,constr_pkey(name_skS))))))
| ~ pred_attacker(tuple_client_B_in_2(X2))
| ~ pred_attacker(tuple_client_B_in_3(X1)) ),
inference(subsumption_resolution,[],[f916,f457]) ).
fof(f916,plain,
! [X2,X0,X1] :
( pred_attacker(tuple_client_B_out_4(constr_aenc(tuple_2(constr_tuple_2_get_0x30_bitstring(constr_adec(X1,name_skB)),name_Nb(X0)),constr_tuple_2_get_1_bitstring(constr_checksign(X2,constr_pkey(name_skS))))))
| ~ pred_attacker(tuple_client_B_in_2(X2))
| ~ pred_attacker(tuple_client_B_in_3(X1))
| ~ pred_eq_bitstring_bitstring(name_A,constr_tuple_2_get_1(constr_adec(X1,name_skB))) ),
inference(subsumption_resolution,[],[f492,f457]) ).
fof(f492,plain,
! [X2,X0,X1] :
( pred_attacker(tuple_client_B_out_4(constr_aenc(tuple_2(constr_tuple_2_get_0x30_bitstring(constr_adec(X1,name_skB)),name_Nb(X0)),constr_tuple_2_get_1_bitstring(constr_checksign(X2,constr_pkey(name_skS))))))
| ~ pred_attacker(tuple_client_B_in_2(X2))
| ~ pred_eq_bitstring_bitstring(name_A,constr_tuple_2_get_0x30(constr_checksign(X2,constr_pkey(name_skS))))
| ~ pred_attacker(tuple_client_B_in_3(X1))
| ~ pred_eq_bitstring_bitstring(name_A,constr_tuple_2_get_1(constr_adec(X1,name_skB))) ),
inference(cnf_transformation,[],[f320]) ).
fof(f320,plain,
! [X0,X1,X2] :
( pred_attacker(tuple_client_B_out_4(constr_aenc(tuple_2(constr_tuple_2_get_0x30_bitstring(constr_adec(X1,name_skB)),name_Nb(X0)),constr_tuple_2_get_1_bitstring(constr_checksign(X2,constr_pkey(name_skS))))))
| ~ pred_attacker(tuple_client_B_in_2(X2))
| ~ pred_eq_bitstring_bitstring(name_A,constr_tuple_2_get_0x30(constr_checksign(X2,constr_pkey(name_skS))))
| ~ pred_attacker(tuple_client_B_in_3(X1))
| ~ pred_eq_bitstring_bitstring(name_A,constr_tuple_2_get_1(constr_adec(X1,name_skB))) ),
inference(flattening,[],[f319]) ).
fof(f319,plain,
! [X0,X1,X2] :
( pred_attacker(tuple_client_B_out_4(constr_aenc(tuple_2(constr_tuple_2_get_0x30_bitstring(constr_adec(X1,name_skB)),name_Nb(X0)),constr_tuple_2_get_1_bitstring(constr_checksign(X2,constr_pkey(name_skS))))))
| ~ pred_attacker(tuple_client_B_in_2(X2))
| ~ pred_eq_bitstring_bitstring(name_A,constr_tuple_2_get_0x30(constr_checksign(X2,constr_pkey(name_skS))))
| ~ pred_attacker(tuple_client_B_in_3(X1))
| ~ pred_eq_bitstring_bitstring(name_A,constr_tuple_2_get_1(constr_adec(X1,name_skB))) ),
inference(ennf_transformation,[],[f240]) ).
fof(f240,plain,
! [X0,X1,X2] :
( ( pred_attacker(tuple_client_B_in_2(X2))
& pred_eq_bitstring_bitstring(name_A,constr_tuple_2_get_0x30(constr_checksign(X2,constr_pkey(name_skS))))
& pred_attacker(tuple_client_B_in_3(X1))
& pred_eq_bitstring_bitstring(name_A,constr_tuple_2_get_1(constr_adec(X1,name_skB))) )
=> pred_attacker(tuple_client_B_out_4(constr_aenc(tuple_2(constr_tuple_2_get_0x30_bitstring(constr_adec(X1,name_skB)),name_Nb(X0)),constr_tuple_2_get_1_bitstring(constr_checksign(X2,constr_pkey(name_skS)))))) ),
inference(rectify,[],[f165]) ).
fof(f165,axiom,
! [X103,X104,X105] :
( ( pred_attacker(tuple_client_B_in_2(X105))
& pred_eq_bitstring_bitstring(name_A,constr_tuple_2_get_0x30(constr_checksign(X105,constr_pkey(name_skS))))
& pred_attacker(tuple_client_B_in_3(X104))
& pred_eq_bitstring_bitstring(name_A,constr_tuple_2_get_1(constr_adec(X104,name_skB))) )
=> pred_attacker(tuple_client_B_out_4(constr_aenc(tuple_2(constr_tuple_2_get_0x30_bitstring(constr_adec(X104,name_skB)),name_Nb(X103)),constr_tuple_2_get_1_bitstring(constr_checksign(X105,constr_pkey(name_skS)))))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax164) ).
fof(f1608,plain,
( spl1_41
| spl1_11
| ~ spl1_5 ),
inference(avatar_split_clause,[],[f1568,f563,f607,f1606]) ).
fof(f1606,plain,
( spl1_41
<=> ! [X2,X1] :
( ~ pred_attacker(tuple_client_A_in_2(X1))
| pred_attacker(constr_aenc(name_Nb(X2),constr_tuple_2_get_1_bitstring(constr_checksign(X1,constr_pkey(name_skS))))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_41])]) ).
fof(f1568,plain,
( ! [X2,X0,X1] :
( ~ pred_attacker(tuple_client_B_in_3(X0))
| ~ pred_attacker(tuple_client_A_in_2(X1))
| pred_attacker(constr_aenc(name_Nb(X2),constr_tuple_2_get_1_bitstring(constr_checksign(X1,constr_pkey(name_skS))))) )
| ~ spl1_5 ),
inference(resolution,[],[f1558,f1216]) ).
fof(f1216,plain,
! [X2,X0,X1] :
( ~ pred_attacker(constr_aenc(tuple_2(X2,X0),constr_pkey(name_skA)))
| ~ pred_attacker(tuple_client_A_in_2(X1))
| pred_attacker(constr_aenc(X0,constr_tuple_2_get_1_bitstring(constr_checksign(X1,constr_pkey(name_skS))))) ),
inference(resolution,[],[f1159,f427]) ).
fof(f1159,plain,
! [X2,X0,X1] :
( ~ pred_attacker(tuple_client_A_in_4(constr_aenc(tuple_2(X0,X1),constr_pkey(name_skA))))
| pred_attacker(constr_aenc(X1,constr_tuple_2_get_1_bitstring(constr_checksign(X2,constr_pkey(name_skS)))))
| ~ pred_attacker(tuple_client_A_in_2(X2)) ),
inference(superposition,[],[f912,f461]) ).
fof(f912,plain,
! [X0,X1] :
( pred_attacker(constr_aenc(constr_tuple_2_get_1_bitstring(X0),constr_tuple_2_get_1_bitstring(constr_checksign(X1,constr_pkey(name_skS)))))
| ~ pred_attacker(tuple_client_A_in_4(constr_aenc(X0,constr_pkey(name_skA))))
| ~ pred_attacker(tuple_client_A_in_2(X1)) ),
inference(superposition,[],[f909,f464]) ).
fof(f909,plain,
! [X0,X1] :
( pred_attacker(constr_aenc(constr_tuple_2_get_1_bitstring(constr_adec(X1,name_skA)),constr_tuple_2_get_1_bitstring(constr_checksign(X0,constr_pkey(name_skS)))))
| ~ pred_attacker(tuple_client_A_in_4(X1))
| ~ pred_attacker(tuple_client_A_in_2(X0)) ),
inference(resolution,[],[f894,f450]) ).
fof(f450,plain,
! [X0] :
( ~ pred_attacker(tuple_client_A_out_5(X0))
| pred_attacker(X0) ),
inference(cnf_transformation,[],[f270]) ).
fof(f270,plain,
! [X0] :
( pred_attacker(X0)
| ~ pred_attacker(tuple_client_A_out_5(X0)) ),
inference(ennf_transformation,[],[f199]) ).
fof(f199,plain,
! [X0] :
( pred_attacker(tuple_client_A_out_5(X0))
=> pred_attacker(X0) ),
inference(rectify,[],[f127]) ).
fof(f127,axiom,
! [X67] :
( pred_attacker(tuple_client_A_out_5(X67))
=> pred_attacker(X67) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax126) ).
fof(f1596,plain,
( spl1_40
| spl1_11
| ~ spl1_5 ),
inference(avatar_split_clause,[],[f1563,f563,f607,f1594]) ).
fof(f1563,plain,
( ! [X2,X0,X1] :
( ~ pred_attacker(tuple_client_B_in_3(X0))
| ~ pred_attacker(tuple_client_A_in_2(constr_sign(X1,name_skS)))
| pred_attacker(constr_aenc(name_Nb(X2),constr_tuple_2_get_1_bitstring(X1))) )
| ~ spl1_5 ),
inference(resolution,[],[f1558,f922]) ).
fof(f922,plain,
! [X2,X0,X1] :
( ~ pred_attacker(constr_aenc(tuple_2(X0,X1),constr_pkey(name_skA)))
| ~ pred_attacker(tuple_client_A_in_2(constr_sign(X2,name_skS)))
| pred_attacker(constr_aenc(X1,constr_tuple_2_get_1_bitstring(X2))) ),
inference(superposition,[],[f921,f461]) ).
fof(f921,plain,
! [X0,X1] :
( pred_attacker(constr_aenc(constr_tuple_2_get_1_bitstring(X0),constr_tuple_2_get_1_bitstring(X1)))
| ~ pred_attacker(tuple_client_A_in_2(constr_sign(X1,name_skS)))
| ~ pred_attacker(constr_aenc(X0,constr_pkey(name_skA))) ),
inference(resolution,[],[f914,f427]) ).
fof(f914,plain,
! [X0,X1] :
( ~ pred_attacker(tuple_client_A_in_4(constr_aenc(X0,constr_pkey(name_skA))))
| pred_attacker(constr_aenc(constr_tuple_2_get_1_bitstring(X0),constr_tuple_2_get_1_bitstring(X1)))
| ~ pred_attacker(tuple_client_A_in_2(constr_sign(X1,name_skS))) ),
inference(superposition,[],[f913,f464]) ).
fof(f913,plain,
! [X0,X1] :
( pred_attacker(constr_aenc(constr_tuple_2_get_1_bitstring(constr_adec(X1,name_skA)),constr_tuple_2_get_1_bitstring(X0)))
| ~ pred_attacker(tuple_client_A_in_4(X1))
| ~ pred_attacker(tuple_client_A_in_2(constr_sign(X0,name_skS))) ),
inference(superposition,[],[f909,f465]) ).
fof(f1591,plain,
( spl1_39
| spl1_11
| ~ spl1_5 ),
inference(avatar_split_clause,[],[f1567,f563,f607,f1589]) ).
fof(f1589,plain,
( spl1_39
<=> ! [X1] : pred_attacker(tuple_client_A_out_5(constr_aenc(name_Nb(X1),constr_pkey(name_skA)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_39])]) ).
fof(f1567,plain,
( ! [X0,X1] :
( ~ pred_attacker(tuple_client_B_in_3(X0))
| pred_attacker(tuple_client_A_out_5(constr_aenc(name_Nb(X1),constr_pkey(name_skA)))) )
| ~ spl1_5 ),
inference(resolution,[],[f1558,f1197]) ).
fof(f1197,plain,
( ! [X0,X1] :
( ~ pred_attacker(constr_aenc(tuple_2(X1,X0),constr_pkey(name_skA)))
| pred_attacker(tuple_client_A_out_5(constr_aenc(X0,constr_pkey(name_skA)))) )
| ~ spl1_5 ),
inference(resolution,[],[f1177,f427]) ).
fof(f1177,plain,
( ! [X0,X1] :
( ~ pred_attacker(tuple_client_A_in_4(constr_aenc(tuple_2(X0,X1),constr_pkey(name_skA))))
| pred_attacker(tuple_client_A_out_5(constr_aenc(X1,constr_pkey(name_skA)))) )
| ~ spl1_5 ),
inference(superposition,[],[f1173,f461]) ).
fof(f1173,plain,
( ! [X0] :
( pred_attacker(tuple_client_A_out_5(constr_aenc(constr_tuple_2_get_1_bitstring(X0),constr_pkey(name_skA))))
| ~ pred_attacker(tuple_client_A_in_4(constr_aenc(X0,constr_pkey(name_skA)))) )
| ~ spl1_5 ),
inference(superposition,[],[f1166,f464]) ).
fof(f1166,plain,
( ! [X0] :
( pred_attacker(tuple_client_A_out_5(constr_aenc(constr_tuple_2_get_1_bitstring(constr_adec(X0,name_skA)),constr_pkey(name_skA))))
| ~ pred_attacker(tuple_client_A_in_4(X0)) )
| ~ spl1_5 ),
inference(resolution,[],[f1164,f570]) ).
fof(f1164,plain,
! [X2,X0,X1] :
( ~ pred_attacker(constr_sign(tuple_2(X2,X1),name_skS))
| ~ pred_attacker(tuple_client_A_in_4(X0))
| pred_attacker(tuple_client_A_out_5(constr_aenc(constr_tuple_2_get_1_bitstring(constr_adec(X0,name_skA)),X1))) ),
inference(resolution,[],[f920,f437]) ).
fof(f920,plain,
! [X2,X0,X1] :
( ~ pred_attacker(tuple_client_A_in_2(constr_sign(tuple_2(X0,X1),name_skS)))
| pred_attacker(tuple_client_A_out_5(constr_aenc(constr_tuple_2_get_1_bitstring(constr_adec(X2,name_skA)),X1)))
| ~ pred_attacker(tuple_client_A_in_4(X2)) ),
inference(superposition,[],[f911,f461]) ).
fof(f1586,plain,
( spl1_38
| spl1_11
| ~ spl1_3
| ~ spl1_5 ),
inference(avatar_split_clause,[],[f1566,f563,f551,f607,f1584]) ).
fof(f1584,plain,
( spl1_38
<=> ! [X1] : pred_attacker(tuple_client_A_out_5(constr_aenc(name_Nb(X1),constr_pkey(name_skB)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_38])]) ).
fof(f551,plain,
( spl1_3
<=> pred_attacker(tuple_key_retrieval_server_out_2(constr_sign(tuple_2(name_B,constr_pkey(name_skB)),name_skS))) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_3])]) ).
fof(f1566,plain,
( ! [X0,X1] :
( ~ pred_attacker(tuple_client_B_in_3(X0))
| pred_attacker(tuple_client_A_out_5(constr_aenc(name_Nb(X1),constr_pkey(name_skB)))) )
| ~ spl1_3
| ~ spl1_5 ),
inference(resolution,[],[f1558,f1178]) ).
fof(f1178,plain,
( ! [X0,X1] :
( ~ pred_attacker(constr_aenc(tuple_2(X1,X0),constr_pkey(name_skA)))
| pred_attacker(tuple_client_A_out_5(constr_aenc(X0,constr_pkey(name_skB)))) )
| ~ spl1_3 ),
inference(resolution,[],[f1175,f427]) ).
fof(f1175,plain,
( ! [X0,X1] :
( ~ pred_attacker(tuple_client_A_in_4(constr_aenc(tuple_2(X0,X1),constr_pkey(name_skA))))
| pred_attacker(tuple_client_A_out_5(constr_aenc(X1,constr_pkey(name_skB)))) )
| ~ spl1_3 ),
inference(superposition,[],[f1171,f461]) ).
fof(f1171,plain,
( ! [X0] :
( pred_attacker(tuple_client_A_out_5(constr_aenc(constr_tuple_2_get_1_bitstring(X0),constr_pkey(name_skB))))
| ~ pred_attacker(tuple_client_A_in_4(constr_aenc(X0,constr_pkey(name_skA)))) )
| ~ spl1_3 ),
inference(superposition,[],[f1165,f464]) ).
fof(f1165,plain,
( ! [X0] :
( pred_attacker(tuple_client_A_out_5(constr_aenc(constr_tuple_2_get_1_bitstring(constr_adec(X0,name_skA)),constr_pkey(name_skB))))
| ~ pred_attacker(tuple_client_A_in_4(X0)) )
| ~ spl1_3 ),
inference(resolution,[],[f1164,f558]) ).
fof(f558,plain,
( pred_attacker(constr_sign(tuple_2(name_B,constr_pkey(name_skB)),name_skS))
| ~ spl1_3 ),
inference(resolution,[],[f553,f445]) ).
fof(f553,plain,
( pred_attacker(tuple_key_retrieval_server_out_2(constr_sign(tuple_2(name_B,constr_pkey(name_skB)),name_skS)))
| ~ spl1_3 ),
inference(avatar_component_clause,[],[f551]) ).
fof(f1581,plain,
( spl1_37
| spl1_11
| ~ spl1_5 ),
inference(avatar_split_clause,[],[f1565,f563,f607,f1579]) ).
fof(f1579,plain,
( spl1_37
<=> ! [X1] : pred_attacker(constr_aenc(name_Nb(X1),constr_pkey(name_skA))) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_37])]) ).
fof(f1565,plain,
( ! [X0,X1] :
( ~ pred_attacker(tuple_client_B_in_3(X0))
| pred_attacker(constr_aenc(name_Nb(X1),constr_pkey(name_skA))) )
| ~ spl1_5 ),
inference(resolution,[],[f1558,f1113]) ).
fof(f1113,plain,
( ! [X0,X1] :
( ~ pred_attacker(constr_aenc(tuple_2(X0,X1),constr_pkey(name_skA)))
| pred_attacker(constr_aenc(X1,constr_pkey(name_skA))) )
| ~ spl1_5 ),
inference(superposition,[],[f1111,f461]) ).
fof(f1111,plain,
( ! [X0] :
( pred_attacker(constr_aenc(constr_tuple_2_get_1_bitstring(X0),constr_pkey(name_skA)))
| ~ pred_attacker(constr_aenc(X0,constr_pkey(name_skA))) )
| ~ spl1_5 ),
inference(resolution,[],[f1110,f427]) ).
fof(f1110,plain,
( ! [X0] :
( ~ pred_attacker(tuple_client_A_in_4(constr_aenc(X0,constr_pkey(name_skA))))
| pred_attacker(constr_aenc(constr_tuple_2_get_1_bitstring(X0),constr_pkey(name_skA))) )
| ~ spl1_5 ),
inference(superposition,[],[f1100,f464]) ).
fof(f1100,plain,
( ! [X0] :
( pred_attacker(constr_aenc(constr_tuple_2_get_1_bitstring(constr_adec(X0,name_skA)),constr_pkey(name_skA)))
| ~ pred_attacker(tuple_client_A_in_4(X0)) )
| ~ spl1_5 ),
inference(resolution,[],[f570,f924]) ).
fof(f924,plain,
! [X2,X0,X1] :
( ~ pred_attacker(constr_sign(tuple_2(X2,X1),name_skS))
| pred_attacker(constr_aenc(constr_tuple_2_get_1_bitstring(constr_adec(X0,name_skA)),X1))
| ~ pred_attacker(tuple_client_A_in_4(X0)) ),
inference(resolution,[],[f915,f437]) ).
fof(f915,plain,
! [X2,X0,X1] :
( ~ pred_attacker(tuple_client_A_in_2(constr_sign(tuple_2(X0,X1),name_skS)))
| ~ pred_attacker(tuple_client_A_in_4(X2))
| pred_attacker(constr_aenc(constr_tuple_2_get_1_bitstring(constr_adec(X2,name_skA)),X1)) ),
inference(superposition,[],[f913,f461]) ).
fof(f1576,plain,
( spl1_36
| spl1_11
| ~ spl1_3
| ~ spl1_5 ),
inference(avatar_split_clause,[],[f1564,f563,f551,f607,f1574]) ).
fof(f1574,plain,
( spl1_36
<=> ! [X1] : pred_attacker(constr_aenc(name_Nb(X1),constr_pkey(name_skB))) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_36])]) ).
fof(f1564,plain,
( ! [X0,X1] :
( ~ pred_attacker(tuple_client_B_in_3(X0))
| pred_attacker(constr_aenc(name_Nb(X1),constr_pkey(name_skB))) )
| ~ spl1_3
| ~ spl1_5 ),
inference(resolution,[],[f1558,f934]) ).
fof(f934,plain,
( ! [X0,X1] :
( ~ pred_attacker(constr_aenc(tuple_2(X0,X1),constr_pkey(name_skA)))
| pred_attacker(constr_aenc(X1,constr_pkey(name_skB))) )
| ~ spl1_3 ),
inference(superposition,[],[f932,f461]) ).
fof(f932,plain,
( ! [X0] :
( pred_attacker(constr_aenc(constr_tuple_2_get_1_bitstring(X0),constr_pkey(name_skB)))
| ~ pred_attacker(constr_aenc(X0,constr_pkey(name_skA))) )
| ~ spl1_3 ),
inference(resolution,[],[f929,f427]) ).
fof(f929,plain,
( ! [X0] :
( ~ pred_attacker(tuple_client_A_in_4(constr_aenc(X0,constr_pkey(name_skA))))
| pred_attacker(constr_aenc(constr_tuple_2_get_1_bitstring(X0),constr_pkey(name_skB))) )
| ~ spl1_3 ),
inference(superposition,[],[f925,f464]) ).
fof(f925,plain,
( ! [X0] :
( pred_attacker(constr_aenc(constr_tuple_2_get_1_bitstring(constr_adec(X0,name_skA)),constr_pkey(name_skB)))
| ~ pred_attacker(tuple_client_A_in_4(X0)) )
| ~ spl1_3 ),
inference(resolution,[],[f924,f558]) ).
fof(f1547,plain,
( spl1_16
| spl1_35 ),
inference(avatar_split_clause,[],[f1530,f1545,f951]) ).
fof(f1545,plain,
( spl1_35
<=> ! [X0,X1] :
( ~ pred_attacker(tuple_client_A_in_2(X0))
| ~ pred_attacker(X1)
| pred_attacker(tuple_client_A_out_5(constr_aenc(X1,constr_tuple_2_get_1_bitstring(constr_checksign(X0,constr_pkey(name_skS)))))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_35])]) ).
fof(f1530,plain,
! [X2,X0,X1] :
( ~ pred_attacker(tuple_client_A_in_2(X0))
| pred_attacker(tuple_client_A_out_5(constr_aenc(X1,constr_tuple_2_get_1_bitstring(constr_checksign(X0,constr_pkey(name_skS))))))
| ~ pred_attacker(X1)
| ~ pred_attacker(X2) ),
inference(resolution,[],[f1527,f487]) ).
fof(f487,plain,
! [X0,X1] :
( pred_attacker(tuple_2(X0,X1))
| ~ pred_attacker(X1)
| ~ pred_attacker(X0) ),
inference(cnf_transformation,[],[f310]) ).
fof(f310,plain,
! [X0,X1] :
( pred_attacker(tuple_2(X0,X1))
| ~ pred_attacker(X1)
| ~ pred_attacker(X0) ),
inference(flattening,[],[f309]) ).
fof(f309,plain,
! [X0,X1] :
( pred_attacker(tuple_2(X0,X1))
| ~ pred_attacker(X1)
| ~ pred_attacker(X0) ),
inference(ennf_transformation,[],[f235]) ).
fof(f235,plain,
! [X0,X1] :
( ( pred_attacker(X1)
& pred_attacker(X0) )
=> pred_attacker(tuple_2(X0,X1)) ),
inference(rectify,[],[f145]) ).
fof(f145,axiom,
! [X86,X87] :
( ( pred_attacker(X87)
& pred_attacker(X86) )
=> pred_attacker(tuple_2(X86,X87)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax144) ).
fof(f1527,plain,
! [X2,X0,X1] :
( ~ pred_attacker(tuple_2(X2,X0))
| ~ pred_attacker(tuple_client_A_in_2(X1))
| pred_attacker(tuple_client_A_out_5(constr_aenc(X0,constr_tuple_2_get_1_bitstring(constr_checksign(X1,constr_pkey(name_skS)))))) ),
inference(subsumption_resolution,[],[f1525,f504]) ).
fof(f504,plain,
pred_attacker(constr_pkey(name_skA)),
inference(resolution,[],[f452,f417]) ).
fof(f417,plain,
pred_attacker(tuple_out_1(constr_pkey(name_skA))),
inference(cnf_transformation,[],[f158]) ).
fof(f158,axiom,
pred_attacker(tuple_out_1(constr_pkey(name_skA))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax157) ).
fof(f452,plain,
! [X0] :
( ~ pred_attacker(tuple_out_1(X0))
| pred_attacker(X0) ),
inference(cnf_transformation,[],[f272]) ).
fof(f272,plain,
! [X0] :
( pred_attacker(X0)
| ~ pred_attacker(tuple_out_1(X0)) ),
inference(ennf_transformation,[],[f201]) ).
fof(f201,plain,
! [X0] :
( pred_attacker(tuple_out_1(X0))
=> pred_attacker(X0) ),
inference(rectify,[],[f100]) ).
fof(f100,axiom,
! [X30] :
( pred_attacker(tuple_out_1(X30))
=> pred_attacker(X30) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax99) ).
fof(f1525,plain,
! [X2,X0,X1] :
( pred_attacker(tuple_client_A_out_5(constr_aenc(X0,constr_tuple_2_get_1_bitstring(constr_checksign(X1,constr_pkey(name_skS))))))
| ~ pred_attacker(tuple_client_A_in_2(X1))
| ~ pred_attacker(constr_pkey(name_skA))
| ~ pred_attacker(tuple_2(X2,X0)) ),
inference(resolution,[],[f1228,f484]) ).
fof(f484,plain,
! [X0,X1] :
( pred_attacker(constr_aenc(X0,X1))
| ~ pred_attacker(X1)
| ~ pred_attacker(X0) ),
inference(cnf_transformation,[],[f304]) ).
fof(f304,plain,
! [X0,X1] :
( pred_attacker(constr_aenc(X0,X1))
| ~ pred_attacker(X1)
| ~ pred_attacker(X0) ),
inference(flattening,[],[f303]) ).
fof(f303,plain,
! [X0,X1] :
( pred_attacker(constr_aenc(X0,X1))
| ~ pred_attacker(X1)
| ~ pred_attacker(X0) ),
inference(ennf_transformation,[],[f232]) ).
fof(f232,plain,
! [X0,X1] :
( ( pred_attacker(X1)
& pred_attacker(X0) )
=> pred_attacker(constr_aenc(X0,X1)) ),
inference(rectify,[],[f138]) ).
fof(f138,axiom,
! [X82,X83] :
( ( pred_attacker(X83)
& pred_attacker(X82) )
=> pred_attacker(constr_aenc(X82,X83)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax137) ).
fof(f1228,plain,
! [X2,X0,X1] :
( ~ pred_attacker(constr_aenc(tuple_2(X2,X1),constr_pkey(name_skA)))
| pred_attacker(tuple_client_A_out_5(constr_aenc(X1,constr_tuple_2_get_1_bitstring(constr_checksign(X0,constr_pkey(name_skS))))))
| ~ pred_attacker(tuple_client_A_in_2(X0)) ),
inference(resolution,[],[f1080,f427]) ).
fof(f1080,plain,
! [X2,X0,X1] :
( ~ pred_attacker(tuple_client_A_in_4(constr_aenc(tuple_2(X0,X1),constr_pkey(name_skA))))
| ~ pred_attacker(tuple_client_A_in_2(X2))
| pred_attacker(tuple_client_A_out_5(constr_aenc(X1,constr_tuple_2_get_1_bitstring(constr_checksign(X2,constr_pkey(name_skS)))))) ),
inference(superposition,[],[f910,f461]) ).
fof(f910,plain,
! [X0,X1] :
( pred_attacker(tuple_client_A_out_5(constr_aenc(constr_tuple_2_get_1_bitstring(X0),constr_tuple_2_get_1_bitstring(constr_checksign(X1,constr_pkey(name_skS))))))
| ~ pred_attacker(tuple_client_A_in_2(X1))
| ~ pred_attacker(tuple_client_A_in_4(constr_aenc(X0,constr_pkey(name_skA)))) ),
inference(superposition,[],[f894,f464]) ).
fof(f1520,plain,
( spl1_25
| spl1_34
| ~ spl1_24 ),
inference(avatar_split_clause,[],[f1292,f1287,f1518,f1307]) ).
fof(f1518,plain,
( spl1_34
<=> ! [X2,X0] :
( ~ pred_attacker(X0)
| pred_attacker(tuple_client_A_out_3(constr_aenc(tuple_2(name_Na(X2),name_A),X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_34])]) ).
fof(f1292,plain,
( ! [X2,X0,X1] :
( ~ pred_attacker(X0)
| name_B = X1
| name_A = X1
| ~ pred_attacker(X1)
| pred_attacker(tuple_client_A_out_3(constr_aenc(tuple_2(name_Na(X2),name_A),X0))) )
| ~ spl1_24 ),
inference(resolution,[],[f1290,f903]) ).
fof(f903,plain,
! [X2,X0,X1] :
( ~ pred_attacker(constr_sign(tuple_2(X2,X1),name_skS))
| pred_attacker(tuple_client_A_out_3(constr_aenc(tuple_2(name_Na(X0),name_A),X1))) ),
inference(resolution,[],[f580,f437]) ).
fof(f580,plain,
! [X2,X0,X1] :
( ~ pred_attacker(tuple_client_A_in_2(constr_sign(tuple_2(X0,X1),name_skS)))
| pred_attacker(tuple_client_A_out_3(constr_aenc(tuple_2(name_Na(X2),name_A),X1))) ),
inference(superposition,[],[f576,f461]) ).
fof(f576,plain,
! [X0,X1] :
( pred_attacker(tuple_client_A_out_3(constr_aenc(tuple_2(name_Na(X1),name_A),constr_tuple_2_get_1_bitstring(X0))))
| ~ pred_attacker(tuple_client_A_in_2(constr_sign(X0,name_skS))) ),
inference(superposition,[],[f571,f465]) ).
fof(f571,plain,
! [X0,X1] :
( pred_attacker(tuple_client_A_out_3(constr_aenc(tuple_2(name_Na(X0),name_A),constr_tuple_2_get_1_bitstring(constr_checksign(X1,constr_pkey(name_skS))))))
| ~ pred_attacker(tuple_client_A_in_2(X1)) ),
inference(subsumption_resolution,[],[f490,f457]) ).
fof(f490,plain,
! [X0,X1] :
( pred_attacker(tuple_client_A_out_3(constr_aenc(tuple_2(name_Na(X0),name_A),constr_tuple_2_get_1_bitstring(constr_checksign(X1,constr_pkey(name_skS))))))
| ~ pred_attacker(tuple_client_A_in_2(X1))
| ~ pred_eq_bitstring_bitstring(name_I,constr_tuple_2_get_0x30(constr_checksign(X1,constr_pkey(name_skS)))) ),
inference(cnf_transformation,[],[f316]) ).
fof(f316,plain,
! [X0,X1] :
( pred_attacker(tuple_client_A_out_3(constr_aenc(tuple_2(name_Na(X0),name_A),constr_tuple_2_get_1_bitstring(constr_checksign(X1,constr_pkey(name_skS))))))
| ~ pred_attacker(tuple_client_A_in_2(X1))
| ~ pred_eq_bitstring_bitstring(name_I,constr_tuple_2_get_0x30(constr_checksign(X1,constr_pkey(name_skS)))) ),
inference(flattening,[],[f315]) ).
fof(f315,plain,
! [X0,X1] :
( pred_attacker(tuple_client_A_out_3(constr_aenc(tuple_2(name_Na(X0),name_A),constr_tuple_2_get_1_bitstring(constr_checksign(X1,constr_pkey(name_skS))))))
| ~ pred_attacker(tuple_client_A_in_2(X1))
| ~ pred_eq_bitstring_bitstring(name_I,constr_tuple_2_get_0x30(constr_checksign(X1,constr_pkey(name_skS)))) ),
inference(ennf_transformation,[],[f238]) ).
fof(f238,plain,
! [X0,X1] :
( ( pred_attacker(tuple_client_A_in_2(X1))
& pred_eq_bitstring_bitstring(name_I,constr_tuple_2_get_0x30(constr_checksign(X1,constr_pkey(name_skS)))) )
=> pred_attacker(tuple_client_A_out_3(constr_aenc(tuple_2(name_Na(X0),name_A),constr_tuple_2_get_1_bitstring(constr_checksign(X1,constr_pkey(name_skS)))))) ),
inference(rectify,[],[f162]) ).
fof(f162,axiom,
! [X98,X99] :
( ( pred_attacker(tuple_client_A_in_2(X99))
& pred_eq_bitstring_bitstring(name_I,constr_tuple_2_get_0x30(constr_checksign(X99,constr_pkey(name_skS)))) )
=> pred_attacker(tuple_client_A_out_3(constr_aenc(tuple_2(name_Na(X98),name_A),constr_tuple_2_get_1_bitstring(constr_checksign(X99,constr_pkey(name_skS)))))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax161) ).
fof(f1515,plain,
( spl1_25
| spl1_33
| ~ spl1_23
| ~ spl1_24 ),
inference(avatar_split_clause,[],[f1303,f1287,f1266,f1513,f1307]) ).
fof(f1513,plain,
( spl1_33
<=> ! [X2,X0] :
( ~ pred_attacker(X0)
| ~ pred_attacker(X2)
| pred_attacker(tuple_client_A_out_5(constr_aenc(X2,X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_33])]) ).
fof(f1266,plain,
( spl1_23
<=> ! [X0,X1] :
( pred_attacker(tuple_client_A_out_5(constr_aenc(X0,constr_tuple_2_get_1_bitstring(X1))))
| ~ pred_attacker(X0)
| ~ pred_attacker(constr_sign(X1,name_skS)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_23])]) ).
fof(f1303,plain,
( ! [X2,X0,X1] :
( ~ pred_attacker(X0)
| name_B = X1
| name_A = X1
| ~ pred_attacker(X1)
| ~ pred_attacker(X2)
| pred_attacker(tuple_client_A_out_5(constr_aenc(X2,X0))) )
| ~ spl1_23
| ~ spl1_24 ),
inference(resolution,[],[f1290,f1270]) ).
fof(f1270,plain,
( ! [X2,X0,X1] :
( ~ pred_attacker(constr_sign(tuple_2(X0,X1),name_skS))
| ~ pred_attacker(X2)
| pred_attacker(tuple_client_A_out_5(constr_aenc(X2,X1))) )
| ~ spl1_23 ),
inference(superposition,[],[f1267,f461]) ).
fof(f1267,plain,
( ! [X0,X1] :
( pred_attacker(tuple_client_A_out_5(constr_aenc(X0,constr_tuple_2_get_1_bitstring(X1))))
| ~ pred_attacker(X0)
| ~ pred_attacker(constr_sign(X1,name_skS)) )
| ~ spl1_23 ),
inference(avatar_component_clause,[],[f1266]) ).
fof(f1500,plain,
( spl1_7
| spl1_16
| ~ spl1_32 ),
inference(avatar_split_clause,[],[f1499,f1488,f951,f587]) ).
fof(f587,plain,
( spl1_7
<=> ! [X0] : pred_attacker(tuple_2(name_Na(X0),name_A)) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_7])]) ).
fof(f1488,plain,
( spl1_32
<=> ! [X2,X0] :
( ~ pred_attacker(X0)
| pred_attacker(constr_aenc(tuple_2(name_Na(X2),name_A),X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_32])]) ).
fof(f1499,plain,
( ! [X0,X1] :
( ~ pred_attacker(X0)
| pred_attacker(tuple_2(name_Na(X1),name_A)) )
| ~ spl1_32 ),
inference(subsumption_resolution,[],[f1498,f443]) ).
fof(f1498,plain,
( ! [X0,X1] :
( ~ pred_attacker(constr_pkey(X0))
| ~ pred_attacker(X0)
| pred_attacker(tuple_2(name_Na(X1),name_A)) )
| ~ spl1_32 ),
inference(resolution,[],[f1489,f530]) ).
fof(f1489,plain,
( ! [X2,X0] :
( pred_attacker(constr_aenc(tuple_2(name_Na(X2),name_A),X0))
| ~ pred_attacker(X0) )
| ~ spl1_32 ),
inference(avatar_component_clause,[],[f1488]) ).
fof(f1490,plain,
( spl1_25
| spl1_32
| ~ spl1_24 ),
inference(avatar_split_clause,[],[f1291,f1287,f1488,f1307]) ).
fof(f1291,plain,
( ! [X2,X0,X1] :
( ~ pred_attacker(X0)
| name_B = X1
| name_A = X1
| ~ pred_attacker(X1)
| pred_attacker(constr_aenc(tuple_2(name_Na(X2),name_A),X0)) )
| ~ spl1_24 ),
inference(resolution,[],[f1290,f581]) ).
fof(f581,plain,
! [X2,X0,X1] :
( ~ pred_attacker(constr_sign(tuple_2(X2,X1),name_skS))
| pred_attacker(constr_aenc(tuple_2(name_Na(X0),name_A),X1)) ),
inference(resolution,[],[f578,f437]) ).
fof(f578,plain,
! [X2,X0,X1] :
( ~ pred_attacker(tuple_client_A_in_2(constr_sign(tuple_2(X0,X1),name_skS)))
| pred_attacker(constr_aenc(tuple_2(name_Na(X2),name_A),X1)) ),
inference(superposition,[],[f577,f461]) ).
fof(f577,plain,
! [X0,X1] :
( pred_attacker(constr_aenc(tuple_2(name_Na(X1),name_A),constr_tuple_2_get_1_bitstring(X0)))
| ~ pred_attacker(tuple_client_A_in_2(constr_sign(X0,name_skS))) ),
inference(superposition,[],[f575,f465]) ).
fof(f575,plain,
! [X0,X1] :
( pred_attacker(constr_aenc(tuple_2(name_Na(X1),name_A),constr_tuple_2_get_1_bitstring(constr_checksign(X0,constr_pkey(name_skS)))))
| ~ pred_attacker(tuple_client_A_in_2(X0)) ),
inference(resolution,[],[f571,f451]) ).
fof(f451,plain,
! [X0] :
( ~ pred_attacker(tuple_client_A_out_3(X0))
| pred_attacker(X0) ),
inference(cnf_transformation,[],[f271]) ).
fof(f271,plain,
! [X0] :
( pred_attacker(X0)
| ~ pred_attacker(tuple_client_A_out_3(X0)) ),
inference(ennf_transformation,[],[f200]) ).
fof(f200,plain,
! [X0] :
( pred_attacker(tuple_client_A_out_3(X0))
=> pred_attacker(X0) ),
inference(rectify,[],[f129]) ).
fof(f129,axiom,
! [X69] :
( pred_attacker(tuple_client_A_out_3(X69))
=> pred_attacker(X69) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax128) ).
fof(f1485,plain,
( spl1_25
| spl1_31
| ~ spl1_5
| ~ spl1_24 ),
inference(avatar_split_clause,[],[f1302,f1287,f563,f1483,f1307]) ).
fof(f1483,plain,
( spl1_31
<=> ! [X0] :
( ~ pred_attacker(X0)
| pred_attacker(tuple_client_A_out_5(constr_aenc(constr_pkey(name_skA),X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_31])]) ).
fof(f1302,plain,
( ! [X0,X1] :
( ~ pred_attacker(X0)
| name_B = X1
| name_A = X1
| ~ pred_attacker(X1)
| pred_attacker(tuple_client_A_out_5(constr_aenc(constr_pkey(name_skA),X0))) )
| ~ spl1_5
| ~ spl1_24 ),
inference(resolution,[],[f1290,f1258]) ).
fof(f1258,plain,
( ! [X0,X1] :
( ~ pred_attacker(constr_sign(tuple_2(X0,X1),name_skS))
| pred_attacker(tuple_client_A_out_5(constr_aenc(constr_pkey(name_skA),X1))) )
| ~ spl1_5 ),
inference(superposition,[],[f1254,f461]) ).
fof(f1254,plain,
( ! [X0] :
( pred_attacker(tuple_client_A_out_5(constr_aenc(constr_pkey(name_skA),constr_tuple_2_get_1_bitstring(X0))))
| ~ pred_attacker(constr_sign(X0,name_skS)) )
| ~ spl1_5 ),
inference(resolution,[],[f1251,f572]) ).
fof(f572,plain,
( pred_attacker(tuple_2(name_A,constr_pkey(name_skA)))
| ~ spl1_5 ),
inference(resolution,[],[f570,f511]) ).
fof(f511,plain,
! [X0,X1] :
( ~ pred_attacker(constr_sign(X0,X1))
| pred_attacker(X0) ),
inference(superposition,[],[f425,f458]) ).
fof(f458,plain,
! [X0,X1] : constr_getmess(constr_sign(X1,X0)) = X1,
inference(cnf_transformation,[],[f207]) ).
fof(f207,plain,
! [X0,X1] : constr_getmess(constr_sign(X1,X0)) = X1,
inference(rectify,[],[f81]) ).
fof(f81,axiom,
! [X4,X5] : constr_getmess(constr_sign(X5,X4)) = X5,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax80) ).
fof(f425,plain,
! [X0] :
( pred_attacker(constr_getmess(X0))
| ~ pred_attacker(X0) ),
inference(cnf_transformation,[],[f245]) ).
fof(f245,plain,
! [X0] :
( pred_attacker(constr_getmess(X0))
| ~ pred_attacker(X0) ),
inference(ennf_transformation,[],[f174]) ).
fof(f174,plain,
! [X0] :
( pred_attacker(X0)
=> pred_attacker(constr_getmess(X0)) ),
inference(rectify,[],[f109]) ).
fof(f109,axiom,
! [X45] :
( pred_attacker(X45)
=> pred_attacker(constr_getmess(X45)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax108) ).
fof(f1251,plain,
! [X2,X0,X1] :
( ~ pred_attacker(tuple_2(X2,X0))
| pred_attacker(tuple_client_A_out_5(constr_aenc(X0,constr_tuple_2_get_1_bitstring(X1))))
| ~ pred_attacker(constr_sign(X1,name_skS)) ),
inference(resolution,[],[f1242,f437]) ).
fof(f1242,plain,
! [X2,X0,X1] :
( ~ pred_attacker(tuple_client_A_in_2(constr_sign(X1,name_skS)))
| pred_attacker(tuple_client_A_out_5(constr_aenc(X0,constr_tuple_2_get_1_bitstring(X1))))
| ~ pred_attacker(tuple_2(X2,X0)) ),
inference(subsumption_resolution,[],[f1241,f504]) ).
fof(f1241,plain,
! [X2,X0,X1] :
( pred_attacker(tuple_client_A_out_5(constr_aenc(X0,constr_tuple_2_get_1_bitstring(X1))))
| ~ pred_attacker(tuple_client_A_in_2(constr_sign(X1,name_skS)))
| ~ pred_attacker(constr_pkey(name_skA))
| ~ pred_attacker(tuple_2(X2,X0)) ),
inference(resolution,[],[f1238,f484]) ).
fof(f1480,plain,
( spl1_25
| spl1_30
| ~ spl1_3
| ~ spl1_24 ),
inference(avatar_split_clause,[],[f1301,f1287,f551,f1478,f1307]) ).
fof(f1478,plain,
( spl1_30
<=> ! [X0] :
( ~ pred_attacker(X0)
| pred_attacker(tuple_client_A_out_5(constr_aenc(constr_pkey(name_skB),X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_30])]) ).
fof(f1301,plain,
( ! [X0,X1] :
( ~ pred_attacker(X0)
| name_B = X1
| name_A = X1
| ~ pred_attacker(X1)
| pred_attacker(tuple_client_A_out_5(constr_aenc(constr_pkey(name_skB),X0))) )
| ~ spl1_3
| ~ spl1_24 ),
inference(resolution,[],[f1290,f1256]) ).
fof(f1256,plain,
( ! [X0,X1] :
( ~ pred_attacker(constr_sign(tuple_2(X0,X1),name_skS))
| pred_attacker(tuple_client_A_out_5(constr_aenc(constr_pkey(name_skB),X1))) )
| ~ spl1_3 ),
inference(superposition,[],[f1253,f461]) ).
fof(f1253,plain,
( ! [X0] :
( pred_attacker(tuple_client_A_out_5(constr_aenc(constr_pkey(name_skB),constr_tuple_2_get_1_bitstring(X0))))
| ~ pred_attacker(constr_sign(X0,name_skS)) )
| ~ spl1_3 ),
inference(resolution,[],[f1251,f559]) ).
fof(f559,plain,
( pred_attacker(tuple_2(name_B,constr_pkey(name_skB)))
| ~ spl1_3 ),
inference(resolution,[],[f558,f511]) ).
fof(f1475,plain,
( spl1_25
| spl1_29
| ~ spl1_5
| ~ spl1_24 ),
inference(avatar_split_clause,[],[f1296,f1287,f563,f1473,f1307]) ).
fof(f1473,plain,
( spl1_29
<=> ! [X0] :
( ~ pred_attacker(X0)
| pred_attacker(constr_aenc(constr_pkey(name_skA),X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_29])]) ).
fof(f1296,plain,
( ! [X0,X1] :
( ~ pred_attacker(X0)
| name_B = X1
| name_A = X1
| ~ pred_attacker(X1)
| pred_attacker(constr_aenc(constr_pkey(name_skA),X0)) )
| ~ spl1_5
| ~ spl1_24 ),
inference(resolution,[],[f1290,f1137]) ).
fof(f1137,plain,
( ! [X0,X1] :
( ~ pred_attacker(constr_sign(tuple_2(X0,X1),name_skS))
| pred_attacker(constr_aenc(constr_pkey(name_skA),X1)) )
| ~ spl1_5 ),
inference(superposition,[],[f1135,f461]) ).
fof(f1135,plain,
( ! [X0] :
( pred_attacker(constr_aenc(constr_pkey(name_skA),constr_tuple_2_get_1_bitstring(X0)))
| ~ pred_attacker(constr_sign(X0,name_skS)) )
| ~ spl1_5 ),
inference(resolution,[],[f1132,f572]) ).
fof(f1132,plain,
! [X2,X0,X1] :
( ~ pred_attacker(tuple_2(X2,X0))
| pred_attacker(constr_aenc(X0,constr_tuple_2_get_1_bitstring(X1)))
| ~ pred_attacker(constr_sign(X1,name_skS)) ),
inference(resolution,[],[f1126,f437]) ).
fof(f1126,plain,
! [X2,X0,X1] :
( ~ pred_attacker(tuple_client_A_in_2(constr_sign(X0,name_skS)))
| pred_attacker(constr_aenc(X1,constr_tuple_2_get_1_bitstring(X0)))
| ~ pred_attacker(tuple_2(X2,X1)) ),
inference(subsumption_resolution,[],[f1125,f504]) ).
fof(f1125,plain,
! [X2,X0,X1] :
( ~ pred_attacker(tuple_client_A_in_2(constr_sign(X0,name_skS)))
| pred_attacker(constr_aenc(X1,constr_tuple_2_get_1_bitstring(X0)))
| ~ pred_attacker(constr_pkey(name_skA))
| ~ pred_attacker(tuple_2(X2,X1)) ),
inference(resolution,[],[f922,f484]) ).
fof(f1470,plain,
( spl1_25
| spl1_28
| ~ spl1_3
| ~ spl1_24 ),
inference(avatar_split_clause,[],[f1295,f1287,f551,f1468,f1307]) ).
fof(f1468,plain,
( spl1_28
<=> ! [X0] :
( ~ pred_attacker(X0)
| pred_attacker(constr_aenc(constr_pkey(name_skB),X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_28])]) ).
fof(f1295,plain,
( ! [X0,X1] :
( ~ pred_attacker(X0)
| name_B = X1
| name_A = X1
| ~ pred_attacker(X1)
| pred_attacker(constr_aenc(constr_pkey(name_skB),X0)) )
| ~ spl1_3
| ~ spl1_24 ),
inference(resolution,[],[f1290,f1136]) ).
fof(f1136,plain,
( ! [X0,X1] :
( ~ pred_attacker(constr_sign(tuple_2(X0,X1),name_skS))
| pred_attacker(constr_aenc(constr_pkey(name_skB),X1)) )
| ~ spl1_3 ),
inference(superposition,[],[f1134,f461]) ).
fof(f1134,plain,
( ! [X0] :
( pred_attacker(constr_aenc(constr_pkey(name_skB),constr_tuple_2_get_1_bitstring(X0)))
| ~ pred_attacker(constr_sign(X0,name_skS)) )
| ~ spl1_3 ),
inference(resolution,[],[f1132,f559]) ).
fof(f1465,plain,
( spl1_25
| spl1_27
| ~ spl1_5
| ~ spl1_24 ),
inference(avatar_split_clause,[],[f1300,f1287,f563,f1463,f1307]) ).
fof(f1463,plain,
( spl1_27
<=> ! [X0] :
( ~ pred_attacker(X0)
| pred_attacker(tuple_client_A_out_5(constr_aenc(name_A,X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_27])]) ).
fof(f1300,plain,
( ! [X0,X1] :
( ~ pred_attacker(X0)
| name_B = X1
| name_A = X1
| ~ pred_attacker(X1)
| pred_attacker(tuple_client_A_out_5(constr_aenc(name_A,X0))) )
| ~ spl1_5
| ~ spl1_24 ),
inference(resolution,[],[f1290,f1245]) ).
fof(f1245,plain,
( ! [X0,X1] :
( ~ pred_attacker(constr_sign(tuple_2(X1,X0),name_skS))
| pred_attacker(tuple_client_A_out_5(constr_aenc(name_A,X0))) )
| ~ spl1_5 ),
inference(resolution,[],[f1244,f437]) ).
fof(f1244,plain,
( ! [X0,X1] :
( ~ pred_attacker(tuple_client_A_in_2(constr_sign(tuple_2(X0,X1),name_skS)))
| pred_attacker(tuple_client_A_out_5(constr_aenc(name_A,X1))) )
| ~ spl1_5 ),
inference(superposition,[],[f1239,f461]) ).
fof(f1239,plain,
( ! [X0] :
( pred_attacker(tuple_client_A_out_5(constr_aenc(name_A,constr_tuple_2_get_1_bitstring(X0))))
| ~ pred_attacker(tuple_client_A_in_2(constr_sign(X0,name_skS))) )
| ~ spl1_5 ),
inference(resolution,[],[f1238,f583]) ).
fof(f583,plain,
( ! [X0] : pred_attacker(constr_aenc(tuple_2(name_Na(X0),name_A),constr_pkey(name_skA)))
| ~ spl1_5 ),
inference(resolution,[],[f581,f570]) ).
fof(f1459,plain,
( ~ spl1_2
| ~ spl1_25 ),
inference(avatar_contradiction_clause,[],[f1458]) ).
fof(f1458,plain,
( $false
| ~ spl1_2
| ~ spl1_25 ),
inference(subsumption_resolution,[],[f1457,f411]) ).
fof(f411,plain,
name_A != name_objective,
inference(cnf_transformation,[],[f54]) ).
fof(f54,axiom,
name_A != name_objective,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax53) ).
fof(f1457,plain,
( name_A = name_objective
| ~ spl1_2
| ~ spl1_25 ),
inference(subsumption_resolution,[],[f1322,f398]) ).
fof(f398,plain,
name_B != name_objective,
inference(cnf_transformation,[],[f60]) ).
fof(f60,axiom,
name_B != name_objective,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax59) ).
fof(f1322,plain,
( name_B = name_objective
| name_A = name_objective
| ~ spl1_2
| ~ spl1_25 ),
inference(resolution,[],[f1308,f541]) ).
fof(f541,plain,
( pred_attacker(name_objective)
| ~ spl1_2 ),
inference(avatar_component_clause,[],[f540]) ).
fof(f540,plain,
( spl1_2
<=> pred_attacker(name_objective) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_2])]) ).
fof(f1308,plain,
( ! [X1] :
( ~ pred_attacker(X1)
| name_B = X1
| name_A = X1 )
| ~ spl1_25 ),
inference(avatar_component_clause,[],[f1307]) ).
fof(f1456,plain,
~ spl1_25,
inference(avatar_contradiction_clause,[],[f1455]) ).
fof(f1455,plain,
( $false
| ~ spl1_25 ),
inference(subsumption_resolution,[],[f1454,f410]) ).
fof(f410,plain,
name_A != name_c,
inference(cnf_transformation,[],[f53]) ).
fof(f53,axiom,
name_A != name_c,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax52) ).
fof(f1454,plain,
( name_A = name_c
| ~ spl1_25 ),
inference(subsumption_resolution,[],[f1321,f397]) ).
fof(f397,plain,
name_B != name_c,
inference(cnf_transformation,[],[f59]) ).
fof(f59,axiom,
name_B != name_c,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax58) ).
fof(f1321,plain,
( name_B = name_c
| name_A = name_c
| ~ spl1_25 ),
inference(resolution,[],[f1308,f335]) ).
fof(f335,plain,
pred_attacker(name_c),
inference(cnf_transformation,[],[f150]) ).
fof(f150,axiom,
pred_attacker(name_c),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax149) ).
fof(f1453,plain,
~ spl1_25,
inference(avatar_contradiction_clause,[],[f1452]) ).
fof(f1452,plain,
( $false
| ~ spl1_25 ),
inference(subsumption_resolution,[],[f1451,f413]) ).
fof(f413,plain,
name_A != name_I,
inference(cnf_transformation,[],[f52]) ).
fof(f52,axiom,
name_A != name_I,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax51) ).
fof(f1451,plain,
( name_A = name_I
| ~ spl1_25 ),
inference(subsumption_resolution,[],[f1320,f401]) ).
fof(f401,plain,
name_B != name_I,
inference(cnf_transformation,[],[f58]) ).
fof(f58,axiom,
name_B != name_I,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax57) ).
fof(f1320,plain,
( name_B = name_I
| name_A = name_I
| ~ spl1_25 ),
inference(resolution,[],[f1308,f337]) ).
fof(f337,plain,
pred_attacker(name_I),
inference(cnf_transformation,[],[f151]) ).
fof(f151,axiom,
pred_attacker(name_I),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax150) ).
fof(f1450,plain,
~ spl1_25,
inference(avatar_contradiction_clause,[],[f1449]) ).
fof(f1449,plain,
( $false
| ~ spl1_25 ),
inference(subsumption_resolution,[],[f1448,f390]) ).
fof(f390,plain,
constr_CONST_4 != name_A,
inference(cnf_transformation,[],[f43]) ).
fof(f43,axiom,
constr_CONST_4 != name_A,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax42) ).
fof(f1448,plain,
( constr_CONST_4 = name_A
| ~ spl1_25 ),
inference(subsumption_resolution,[],[f1317,f369]) ).
fof(f369,plain,
constr_CONST_4 != name_B,
inference(cnf_transformation,[],[f44]) ).
fof(f44,axiom,
constr_CONST_4 != name_B,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax43) ).
fof(f1317,plain,
( constr_CONST_4 = name_B
| constr_CONST_4 = name_A
| ~ spl1_25 ),
inference(resolution,[],[f1308,f333]) ).
fof(f333,plain,
pred_attacker(constr_CONST_4),
inference(cnf_transformation,[],[f140]) ).
fof(f140,axiom,
pred_attacker(constr_CONST_4),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax139) ).
fof(f1447,plain,
~ spl1_25,
inference(avatar_contradiction_clause,[],[f1446]) ).
fof(f1446,plain,
( $false
| ~ spl1_25 ),
inference(subsumption_resolution,[],[f1445,f388]) ).
fof(f388,plain,
constr_CONST_3 != name_A,
inference(cnf_transformation,[],[f35]) ).
fof(f35,axiom,
constr_CONST_3 != name_A,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax34) ).
fof(f1445,plain,
( constr_CONST_3 = name_A
| ~ spl1_25 ),
inference(subsumption_resolution,[],[f1316,f362]) ).
fof(f362,plain,
constr_CONST_3 != name_B,
inference(cnf_transformation,[],[f36]) ).
fof(f36,axiom,
constr_CONST_3 != name_B,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax35) ).
fof(f1316,plain,
( constr_CONST_3 = name_B
| constr_CONST_3 = name_A
| ~ spl1_25 ),
inference(resolution,[],[f1308,f332]) ).
fof(f332,plain,
pred_attacker(constr_CONST_3),
inference(cnf_transformation,[],[f141]) ).
fof(f141,axiom,
pred_attacker(constr_CONST_3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax140) ).
fof(f1444,plain,
~ spl1_25,
inference(avatar_contradiction_clause,[],[f1443]) ).
fof(f1443,plain,
( $false
| ~ spl1_25 ),
inference(subsumption_resolution,[],[f1442,f391]) ).
fof(f391,plain,
constr_CONST_2 != name_A,
inference(cnf_transformation,[],[f26]) ).
fof(f26,axiom,
constr_CONST_2 != name_A,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax25) ).
fof(f1442,plain,
( constr_CONST_2 = name_A
| ~ spl1_25 ),
inference(subsumption_resolution,[],[f1315,f374]) ).
fof(f374,plain,
constr_CONST_2 != name_B,
inference(cnf_transformation,[],[f27]) ).
fof(f27,axiom,
constr_CONST_2 != name_B,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax26) ).
fof(f1315,plain,
( constr_CONST_2 = name_B
| constr_CONST_2 = name_A
| ~ spl1_25 ),
inference(resolution,[],[f1308,f330]) ).
fof(f330,plain,
pred_attacker(constr_CONST_2),
inference(cnf_transformation,[],[f142]) ).
fof(f142,axiom,
pred_attacker(constr_CONST_2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax141) ).
fof(f1441,plain,
~ spl1_25,
inference(avatar_contradiction_clause,[],[f1440]) ).
fof(f1440,plain,
( $false
| ~ spl1_25 ),
inference(subsumption_resolution,[],[f1439,f392]) ).
fof(f392,plain,
constr_CONST_1 != name_A,
inference(cnf_transformation,[],[f16]) ).
fof(f16,axiom,
constr_CONST_1 != name_A,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax15) ).
fof(f1439,plain,
( constr_CONST_1 = name_A
| ~ spl1_25 ),
inference(subsumption_resolution,[],[f1314,f367]) ).
fof(f367,plain,
constr_CONST_1 != name_B,
inference(cnf_transformation,[],[f17]) ).
fof(f17,axiom,
constr_CONST_1 != name_B,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax16) ).
fof(f1314,plain,
( constr_CONST_1 = name_B
| constr_CONST_1 = name_A
| ~ spl1_25 ),
inference(resolution,[],[f1308,f331]) ).
fof(f331,plain,
pred_attacker(constr_CONST_1),
inference(cnf_transformation,[],[f143]) ).
fof(f143,axiom,
pred_attacker(constr_CONST_1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax142) ).
fof(f1438,plain,
~ spl1_25,
inference(avatar_contradiction_clause,[],[f1437]) ).
fof(f1437,plain,
( $false
| ~ spl1_25 ),
inference(subsumption_resolution,[],[f1436,f389]) ).
fof(f389,plain,
constr_CONST_0x30 != name_A,
inference(cnf_transformation,[],[f5]) ).
fof(f5,axiom,
constr_CONST_0x30 != name_A,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax4) ).
fof(f1436,plain,
( constr_CONST_0x30 = name_A
| ~ spl1_25 ),
inference(subsumption_resolution,[],[f1313,f360]) ).
fof(f360,plain,
constr_CONST_0x30 != name_B,
inference(cnf_transformation,[],[f6]) ).
fof(f6,axiom,
constr_CONST_0x30 != name_B,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax5) ).
fof(f1313,plain,
( constr_CONST_0x30 = name_B
| constr_CONST_0x30 = name_A
| ~ spl1_25 ),
inference(resolution,[],[f1308,f334]) ).
fof(f334,plain,
pred_attacker(constr_CONST_0x30),
inference(cnf_transformation,[],[f144]) ).
fof(f144,axiom,
pred_attacker(constr_CONST_0x30),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax143) ).
fof(f1312,plain,
( spl1_25
| spl1_26
| ~ spl1_5
| ~ spl1_24 ),
inference(avatar_split_clause,[],[f1294,f1287,f563,f1310,f1307]) ).
fof(f1310,plain,
( spl1_26
<=> ! [X0] :
( ~ pred_attacker(X0)
| pred_attacker(constr_aenc(name_A,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_26])]) ).
fof(f1294,plain,
( ! [X0,X1] :
( ~ pred_attacker(X0)
| name_B = X1
| name_A = X1
| ~ pred_attacker(X1)
| pred_attacker(constr_aenc(name_A,X0)) )
| ~ spl1_5
| ~ spl1_24 ),
inference(resolution,[],[f1290,f1128]) ).
fof(f1128,plain,
( ! [X0,X1] :
( ~ pred_attacker(constr_sign(tuple_2(X0,X1),name_skS))
| pred_attacker(constr_aenc(name_A,X1)) )
| ~ spl1_5 ),
inference(superposition,[],[f1127,f461]) ).
fof(f1127,plain,
( ! [X0] :
( pred_attacker(constr_aenc(name_A,constr_tuple_2_get_1_bitstring(X0)))
| ~ pred_attacker(constr_sign(X0,name_skS)) )
| ~ spl1_5 ),
inference(resolution,[],[f1123,f437]) ).
fof(f1123,plain,
( ! [X0] :
( ~ pred_attacker(tuple_client_A_in_2(constr_sign(X0,name_skS)))
| pred_attacker(constr_aenc(name_A,constr_tuple_2_get_1_bitstring(X0))) )
| ~ spl1_5 ),
inference(resolution,[],[f922,f583]) ).
fof(f1289,plain,
( spl1_16
| spl1_24 ),
inference(avatar_split_clause,[],[f1215,f1287,f951]) ).
fof(f1215,plain,
! [X2,X0,X1] :
( pred_attacker(tuple_key_retrieval_server_out_2(constr_sign(tuple_2(X0,X1),name_skS)))
| name_A = X0
| name_B = X0
| ~ pred_attacker(X1)
| ~ pred_attacker(X0)
| ~ pred_attacker(X2) ),
inference(resolution,[],[f1169,f481]) ).
fof(f481,plain,
! [X0,X1] :
( pred_attacker(tuple_key_retrieval_server_in_1(X0,X1))
| ~ pred_attacker(X1)
| ~ pred_attacker(X0) ),
inference(cnf_transformation,[],[f298]) ).
fof(f298,plain,
! [X0,X1] :
( pred_attacker(tuple_key_retrieval_server_in_1(X0,X1))
| ~ pred_attacker(X1)
| ~ pred_attacker(X0) ),
inference(flattening,[],[f297]) ).
fof(f297,plain,
! [X0,X1] :
( pred_attacker(tuple_key_retrieval_server_in_1(X0,X1))
| ~ pred_attacker(X1)
| ~ pred_attacker(X0) ),
inference(ennf_transformation,[],[f229]) ).
fof(f229,plain,
! [X0,X1] :
( ( pred_attacker(X1)
& pred_attacker(X0) )
=> pred_attacker(tuple_key_retrieval_server_in_1(X0,X1)) ),
inference(rectify,[],[f103]) ).
fof(f103,axiom,
! [X33,X34] :
( ( pred_attacker(X34)
& pred_attacker(X33) )
=> pred_attacker(tuple_key_retrieval_server_in_1(X33,X34)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax102) ).
fof(f1169,plain,
! [X2,X0,X1] :
( ~ pred_attacker(tuple_key_retrieval_server_in_1(X2,X0))
| pred_attacker(tuple_key_retrieval_server_out_2(constr_sign(tuple_2(X0,X1),name_skS)))
| name_A = X0
| name_B = X0
| ~ pred_attacker(X1) ),
inference(subsumption_resolution,[],[f1168,f470]) ).
fof(f470,plain,
! [X0,X1] :
( ~ pred_attacker(tuple_key_retrieval_server_in_1(X0,X1))
| pred_attacker(X1) ),
inference(cnf_transformation,[],[f281]) ).
fof(f281,plain,
! [X0,X1] :
( pred_attacker(X1)
| ~ pred_attacker(tuple_key_retrieval_server_in_1(X0,X1)) ),
inference(ennf_transformation,[],[f218]) ).
fof(f218,plain,
! [X0,X1] :
( pred_attacker(tuple_key_retrieval_server_in_1(X0,X1))
=> pred_attacker(X1) ),
inference(rectify,[],[f105]) ).
fof(f105,axiom,
! [X37,X38] :
( pred_attacker(tuple_key_retrieval_server_in_1(X37,X38))
=> pred_attacker(X38) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax104) ).
fof(f1168,plain,
! [X2,X0,X1] :
( pred_attacker(tuple_key_retrieval_server_out_2(constr_sign(tuple_2(X0,X1),name_skS)))
| ~ pred_attacker(tuple_key_retrieval_server_in_1(X2,X0))
| name_A = X0
| name_B = X0
| ~ pred_attacker(X1)
| ~ pred_attacker(X0) ),
inference(resolution,[],[f549,f480]) ).
fof(f480,plain,
! [X0,X1] :
( pred_attacker(tuple_key_register_server_in_1(X0,X1))
| ~ pred_attacker(X1)
| ~ pred_attacker(X0) ),
inference(cnf_transformation,[],[f296]) ).
fof(f296,plain,
! [X0,X1] :
( pred_attacker(tuple_key_register_server_in_1(X0,X1))
| ~ pred_attacker(X1)
| ~ pred_attacker(X0) ),
inference(flattening,[],[f295]) ).
fof(f295,plain,
! [X0,X1] :
( pred_attacker(tuple_key_register_server_in_1(X0,X1))
| ~ pred_attacker(X1)
| ~ pred_attacker(X0) ),
inference(ennf_transformation,[],[f228]) ).
fof(f228,plain,
! [X0,X1] :
( ( pred_attacker(X1)
& pred_attacker(X0) )
=> pred_attacker(tuple_key_register_server_in_1(X0,X1)) ),
inference(rectify,[],[f106]) ).
fof(f106,axiom,
! [X39,X40] :
( ( pred_attacker(X40)
& pred_attacker(X39) )
=> pred_attacker(tuple_key_register_server_in_1(X39,X40)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax105) ).
fof(f549,plain,
! [X2,X0,X1] :
( ~ pred_attacker(tuple_key_register_server_in_1(X1,X2))
| pred_attacker(tuple_key_retrieval_server_out_2(constr_sign(tuple_2(X1,X2),name_skS)))
| ~ pred_attacker(tuple_key_retrieval_server_in_1(X0,X1))
| name_A = X1
| name_B = X1 ),
inference(resolution,[],[f491,f488]) ).
fof(f488,plain,
! [X0,X1] :
( pred_table(tuple_keys(X0,X1))
| ~ pred_attacker(tuple_key_register_server_in_1(X0,X1))
| name_A = X0
| name_B = X0 ),
inference(cnf_transformation,[],[f312]) ).
fof(f312,plain,
! [X0,X1] :
( pred_table(tuple_keys(X0,X1))
| ~ pred_attacker(tuple_key_register_server_in_1(X0,X1))
| name_A = X0
| name_B = X0 ),
inference(flattening,[],[f311]) ).
fof(f311,plain,
! [X0,X1] :
( pred_table(tuple_keys(X0,X1))
| ~ pred_attacker(tuple_key_register_server_in_1(X0,X1))
| name_A = X0
| name_B = X0 ),
inference(ennf_transformation,[],[f236]) ).
fof(f236,plain,
! [X0,X1] :
( ( pred_attacker(tuple_key_register_server_in_1(X0,X1))
& name_A != X0
& name_B != X0 )
=> pred_table(tuple_keys(X0,X1)) ),
inference(rectify,[],[f168]) ).
fof(f168,axiom,
! [X113,X114] :
( ( pred_attacker(tuple_key_register_server_in_1(X113,X114))
& name_A != X113
& name_B != X113 )
=> pred_table(tuple_keys(X113,X114)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax167) ).
fof(f491,plain,
! [X2,X0,X1] :
( ~ pred_table(tuple_keys(X0,X1))
| ~ pred_attacker(tuple_key_retrieval_server_in_1(X2,X0))
| pred_attacker(tuple_key_retrieval_server_out_2(constr_sign(tuple_2(X0,X1),name_skS))) ),
inference(cnf_transformation,[],[f318]) ).
fof(f318,plain,
! [X0,X1,X2] :
( pred_attacker(tuple_key_retrieval_server_out_2(constr_sign(tuple_2(X0,X1),name_skS)))
| ~ pred_attacker(tuple_key_retrieval_server_in_1(X2,X0))
| ~ pred_table(tuple_keys(X0,X1)) ),
inference(flattening,[],[f317]) ).
fof(f317,plain,
! [X0,X1,X2] :
( pred_attacker(tuple_key_retrieval_server_out_2(constr_sign(tuple_2(X0,X1),name_skS)))
| ~ pred_attacker(tuple_key_retrieval_server_in_1(X2,X0))
| ~ pred_table(tuple_keys(X0,X1)) ),
inference(ennf_transformation,[],[f239]) ).
fof(f239,plain,
! [X0,X1,X2] :
( ( pred_attacker(tuple_key_retrieval_server_in_1(X2,X0))
& pred_table(tuple_keys(X0,X1)) )
=> pred_attacker(tuple_key_retrieval_server_out_2(constr_sign(tuple_2(X0,X1),name_skS))) ),
inference(rectify,[],[f167]) ).
fof(f167,axiom,
! [X110,X111,X112] :
( ( pred_attacker(tuple_key_retrieval_server_in_1(X112,X110))
& pred_table(tuple_keys(X110,X111)) )
=> pred_attacker(tuple_key_retrieval_server_out_2(constr_sign(tuple_2(X110,X111),name_skS))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax166) ).
fof(f1268,plain,
( spl1_16
| spl1_23 ),
inference(avatar_split_clause,[],[f1252,f1266,f951]) ).
fof(f1252,plain,
! [X2,X0,X1] :
( pred_attacker(tuple_client_A_out_5(constr_aenc(X0,constr_tuple_2_get_1_bitstring(X1))))
| ~ pred_attacker(constr_sign(X1,name_skS))
| ~ pred_attacker(X0)
| ~ pred_attacker(X2) ),
inference(resolution,[],[f1251,f487]) ).
fof(f1235,plain,
( spl1_16
| spl1_22 ),
inference(avatar_split_clause,[],[f1222,f1233,f951]) ).
fof(f1233,plain,
( spl1_22
<=> ! [X0,X1] :
( pred_attacker(constr_aenc(X0,constr_tuple_2_get_1_bitstring(constr_checksign(X1,constr_pkey(name_skS)))))
| ~ pred_attacker(X0)
| ~ pred_attacker(tuple_client_A_in_2(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_22])]) ).
fof(f1222,plain,
! [X2,X0,X1] :
( pred_attacker(constr_aenc(X0,constr_tuple_2_get_1_bitstring(constr_checksign(X1,constr_pkey(name_skS)))))
| ~ pred_attacker(tuple_client_A_in_2(X1))
| ~ pred_attacker(X0)
| ~ pred_attacker(X2) ),
inference(resolution,[],[f1220,f487]) ).
fof(f1220,plain,
! [X2,X0,X1] :
( ~ pred_attacker(tuple_2(X2,X1))
| pred_attacker(constr_aenc(X1,constr_tuple_2_get_1_bitstring(constr_checksign(X0,constr_pkey(name_skS)))))
| ~ pred_attacker(tuple_client_A_in_2(X0)) ),
inference(subsumption_resolution,[],[f1219,f504]) ).
fof(f1219,plain,
! [X2,X0,X1] :
( ~ pred_attacker(tuple_client_A_in_2(X0))
| pred_attacker(constr_aenc(X1,constr_tuple_2_get_1_bitstring(constr_checksign(X0,constr_pkey(name_skS)))))
| ~ pred_attacker(constr_pkey(name_skA))
| ~ pred_attacker(tuple_2(X2,X1)) ),
inference(resolution,[],[f1216,f484]) ).
fof(f1211,plain,
( spl1_16
| spl1_21
| ~ spl1_5 ),
inference(avatar_split_clause,[],[f1203,f563,f1209,f951]) ).
fof(f1209,plain,
( spl1_21
<=> ! [X0] :
( pred_attacker(tuple_client_A_out_5(constr_aenc(X0,constr_pkey(name_skA))))
| ~ pred_attacker(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_21])]) ).
fof(f1203,plain,
( ! [X0,X1] :
( pred_attacker(tuple_client_A_out_5(constr_aenc(X0,constr_pkey(name_skA))))
| ~ pred_attacker(X0)
| ~ pred_attacker(X1) )
| ~ spl1_5 ),
inference(resolution,[],[f1201,f487]) ).
fof(f1201,plain,
( ! [X0,X1] :
( ~ pred_attacker(tuple_2(X1,X0))
| pred_attacker(tuple_client_A_out_5(constr_aenc(X0,constr_pkey(name_skA)))) )
| ~ spl1_5 ),
inference(subsumption_resolution,[],[f1200,f504]) ).
fof(f1200,plain,
( ! [X0,X1] :
( pred_attacker(tuple_client_A_out_5(constr_aenc(X0,constr_pkey(name_skA))))
| ~ pred_attacker(constr_pkey(name_skA))
| ~ pred_attacker(tuple_2(X1,X0)) )
| ~ spl1_5 ),
inference(resolution,[],[f1197,f484]) ).
fof(f1192,plain,
( spl1_16
| spl1_20
| ~ spl1_3 ),
inference(avatar_split_clause,[],[f1184,f551,f1190,f951]) ).
fof(f1190,plain,
( spl1_20
<=> ! [X0] :
( pred_attacker(tuple_client_A_out_5(constr_aenc(X0,constr_pkey(name_skB))))
| ~ pred_attacker(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_20])]) ).
fof(f1184,plain,
( ! [X0,X1] :
( pred_attacker(tuple_client_A_out_5(constr_aenc(X0,constr_pkey(name_skB))))
| ~ pred_attacker(X0)
| ~ pred_attacker(X1) )
| ~ spl1_3 ),
inference(resolution,[],[f1182,f487]) ).
fof(f1182,plain,
( ! [X0,X1] :
( ~ pred_attacker(tuple_2(X1,X0))
| pred_attacker(tuple_client_A_out_5(constr_aenc(X0,constr_pkey(name_skB)))) )
| ~ spl1_3 ),
inference(subsumption_resolution,[],[f1181,f504]) ).
fof(f1181,plain,
( ! [X0,X1] :
( pred_attacker(tuple_client_A_out_5(constr_aenc(X0,constr_pkey(name_skB))))
| ~ pred_attacker(constr_pkey(name_skA))
| ~ pred_attacker(tuple_2(X1,X0)) )
| ~ spl1_3 ),
inference(resolution,[],[f1178,f484]) ).
fof(f1150,plain,
( spl1_16
| spl1_19 ),
inference(avatar_split_clause,[],[f1133,f1148,f951]) ).
fof(f1148,plain,
( spl1_19
<=> ! [X0,X1] :
( pred_attacker(constr_aenc(X0,constr_tuple_2_get_1_bitstring(X1)))
| ~ pred_attacker(X0)
| ~ pred_attacker(constr_sign(X1,name_skS)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_19])]) ).
fof(f1133,plain,
! [X2,X0,X1] :
( pred_attacker(constr_aenc(X0,constr_tuple_2_get_1_bitstring(X1)))
| ~ pred_attacker(constr_sign(X1,name_skS))
| ~ pred_attacker(X0)
| ~ pred_attacker(X2) ),
inference(resolution,[],[f1132,f487]) ).
fof(f1090,plain,
( spl1_16
| ~ spl1_6 ),
inference(avatar_split_clause,[],[f1089,f567,f951]) ).
fof(f567,plain,
( spl1_6
<=> ! [X0] : ~ pred_attacker(tuple_key_retrieval_server_in_1(X0,name_A)) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_6])]) ).
fof(f1089,plain,
( ! [X0] : ~ pred_attacker(X0)
| ~ spl1_6 ),
inference(subsumption_resolution,[],[f1088,f338]) ).
fof(f338,plain,
pred_attacker(name_A),
inference(cnf_transformation,[],[f153]) ).
fof(f153,axiom,
pred_attacker(name_A),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax152) ).
fof(f1088,plain,
( ! [X0] :
( ~ pred_attacker(name_A)
| ~ pred_attacker(X0) )
| ~ spl1_6 ),
inference(resolution,[],[f568,f481]) ).
fof(f568,plain,
( ! [X0] : ~ pred_attacker(tuple_key_retrieval_server_in_1(X0,name_A))
| ~ spl1_6 ),
inference(avatar_component_clause,[],[f567]) ).
fof(f1087,plain,
( spl1_16
| spl1_18
| ~ spl1_5 ),
inference(avatar_split_clause,[],[f1076,f563,f1085,f951]) ).
fof(f1085,plain,
( spl1_18
<=> ! [X0] :
( pred_attacker(constr_aenc(X0,constr_pkey(name_skA)))
| ~ pred_attacker(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_18])]) ).
fof(f1076,plain,
( ! [X0,X1] :
( pred_attacker(constr_aenc(X0,constr_pkey(name_skA)))
| ~ pred_attacker(X0)
| ~ pred_attacker(X1) )
| ~ spl1_5 ),
inference(resolution,[],[f1074,f487]) ).
fof(f1074,plain,
( ! [X0,X1] :
( ~ pred_attacker(tuple_2(X1,X0))
| pred_attacker(constr_aenc(X0,constr_pkey(name_skA))) )
| ~ spl1_5 ),
inference(subsumption_resolution,[],[f1073,f504]) ).
fof(f1073,plain,
( ! [X0,X1] :
( pred_attacker(constr_aenc(X0,constr_pkey(name_skA)))
| ~ pred_attacker(constr_pkey(name_skA))
| ~ pred_attacker(tuple_2(X1,X0)) )
| ~ spl1_5 ),
inference(resolution,[],[f937,f484]) ).
fof(f937,plain,
( ! [X0,X1] :
( ~ pred_attacker(constr_aenc(tuple_2(X0,X1),constr_pkey(name_skA)))
| pred_attacker(constr_aenc(X1,constr_pkey(name_skA))) )
| ~ spl1_5 ),
inference(superposition,[],[f935,f461]) ).
fof(f935,plain,
( ! [X0] :
( pred_attacker(constr_aenc(constr_tuple_2_get_1_bitstring(X0),constr_pkey(name_skA)))
| ~ pred_attacker(constr_aenc(X0,constr_pkey(name_skA))) )
| ~ spl1_5 ),
inference(resolution,[],[f931,f427]) ).
fof(f931,plain,
( ! [X0] :
( ~ pred_attacker(tuple_client_A_in_4(constr_aenc(X0,constr_pkey(name_skA))))
| pred_attacker(constr_aenc(constr_tuple_2_get_1_bitstring(X0),constr_pkey(name_skA))) )
| ~ spl1_5 ),
inference(superposition,[],[f926,f464]) ).
fof(f926,plain,
( ! [X0] :
( pred_attacker(constr_aenc(constr_tuple_2_get_1_bitstring(constr_adec(X0,name_skA)),constr_pkey(name_skA)))
| ~ pred_attacker(tuple_client_A_in_4(X0)) )
| ~ spl1_5 ),
inference(resolution,[],[f924,f570]) ).
fof(f1070,plain,
~ spl1_16,
inference(avatar_contradiction_clause,[],[f957]) ).
fof(f957,plain,
( $false
| ~ spl1_16 ),
inference(resolution,[],[f952,f334]) ).
fof(f952,plain,
( ! [X1] : ~ pred_attacker(X1)
| ~ spl1_16 ),
inference(avatar_component_clause,[],[f951]) ).
fof(f1069,plain,
~ spl1_16,
inference(avatar_contradiction_clause,[],[f958]) ).
fof(f958,plain,
( $false
| ~ spl1_16 ),
inference(resolution,[],[f952,f331]) ).
fof(f1068,plain,
~ spl1_16,
inference(avatar_contradiction_clause,[],[f959]) ).
fof(f959,plain,
( $false
| ~ spl1_16 ),
inference(resolution,[],[f952,f330]) ).
fof(f1067,plain,
~ spl1_16,
inference(avatar_contradiction_clause,[],[f960]) ).
fof(f960,plain,
( $false
| ~ spl1_16 ),
inference(resolution,[],[f952,f332]) ).
fof(f1066,plain,
~ spl1_16,
inference(avatar_contradiction_clause,[],[f961]) ).
fof(f961,plain,
( $false
| ~ spl1_16 ),
inference(resolution,[],[f952,f333]) ).
fof(f1065,plain,
~ spl1_16,
inference(avatar_contradiction_clause,[],[f962]) ).
fof(f962,plain,
( $false
| ~ spl1_16 ),
inference(resolution,[],[f952,f338]) ).
fof(f1064,plain,
~ spl1_16,
inference(avatar_contradiction_clause,[],[f963]) ).
fof(f963,plain,
( $false
| ~ spl1_16 ),
inference(resolution,[],[f952,f336]) ).
fof(f336,plain,
pred_attacker(name_B),
inference(cnf_transformation,[],[f152]) ).
fof(f152,axiom,
pred_attacker(name_B),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax151) ).
fof(f1063,plain,
~ spl1_16,
inference(avatar_contradiction_clause,[],[f964]) ).
fof(f964,plain,
( $false
| ~ spl1_16 ),
inference(resolution,[],[f952,f337]) ).
fof(f1062,plain,
~ spl1_16,
inference(avatar_contradiction_clause,[],[f965]) ).
fof(f965,plain,
( $false
| ~ spl1_16 ),
inference(resolution,[],[f952,f335]) ).
fof(f1061,plain,
( ~ spl1_2
| ~ spl1_16 ),
inference(avatar_contradiction_clause,[],[f966]) ).
fof(f966,plain,
( $false
| ~ spl1_2
| ~ spl1_16 ),
inference(resolution,[],[f952,f541]) ).
fof(f1060,plain,
~ spl1_16,
inference(avatar_contradiction_clause,[],[f968]) ).
fof(f968,plain,
( $false
| ~ spl1_16 ),
inference(resolution,[],[f952,f504]) ).
fof(f1059,plain,
~ spl1_16,
inference(avatar_contradiction_clause,[],[f969]) ).
fof(f969,plain,
( $false
| ~ spl1_16 ),
inference(resolution,[],[f952,f506]) ).
fof(f506,plain,
pred_attacker(constr_pkey(name_skB)),
inference(resolution,[],[f453,f418]) ).
fof(f418,plain,
pred_attacker(tuple_out_2(constr_pkey(name_skB))),
inference(cnf_transformation,[],[f159]) ).
fof(f159,axiom,
pred_attacker(tuple_out_2(constr_pkey(name_skB))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax158) ).
fof(f453,plain,
! [X0] :
( ~ pred_attacker(tuple_out_2(X0))
| pred_attacker(X0) ),
inference(cnf_transformation,[],[f273]) ).
fof(f273,plain,
! [X0] :
( pred_attacker(X0)
| ~ pred_attacker(tuple_out_2(X0)) ),
inference(ennf_transformation,[],[f202]) ).
fof(f202,plain,
! [X0] :
( pred_attacker(tuple_out_2(X0))
=> pred_attacker(X0) ),
inference(rectify,[],[f98]) ).
fof(f98,axiom,
! [X28] :
( pred_attacker(tuple_out_2(X28))
=> pred_attacker(X28) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax97) ).
fof(f1058,plain,
~ spl1_16,
inference(avatar_contradiction_clause,[],[f970]) ).
fof(f970,plain,
( $false
| ~ spl1_16 ),
inference(resolution,[],[f952,f499]) ).
fof(f499,plain,
pred_attacker(constr_pkey(name_skS)),
inference(resolution,[],[f448,f419]) ).
fof(f419,plain,
pred_attacker(tuple_out_3(constr_pkey(name_skS))),
inference(cnf_transformation,[],[f160]) ).
fof(f160,axiom,
pred_attacker(tuple_out_3(constr_pkey(name_skS))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax159) ).
fof(f448,plain,
! [X0] :
( ~ pred_attacker(tuple_out_3(X0))
| pred_attacker(X0) ),
inference(cnf_transformation,[],[f268]) ).
fof(f268,plain,
! [X0] :
( pred_attacker(X0)
| ~ pred_attacker(tuple_out_3(X0)) ),
inference(ennf_transformation,[],[f197]) ).
fof(f197,plain,
! [X0] :
( pred_attacker(tuple_out_3(X0))
=> pred_attacker(X0) ),
inference(rectify,[],[f96]) ).
fof(f96,axiom,
! [X26] :
( pred_attacker(tuple_out_3(X26))
=> pred_attacker(X26) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax95) ).
fof(f1057,plain,
( ~ spl1_3
| ~ spl1_5
| ~ spl1_16 ),
inference(avatar_contradiction_clause,[],[f972]) ).
fof(f972,plain,
( $false
| ~ spl1_3
| ~ spl1_5
| ~ spl1_16 ),
inference(resolution,[],[f952,f941]) ).
fof(f941,plain,
( pred_attacker(constr_aenc(name_A,constr_pkey(name_skB)))
| ~ spl1_3
| ~ spl1_5 ),
inference(resolution,[],[f934,f583]) ).
fof(f1056,plain,
( ~ spl1_3
| ~ spl1_16 ),
inference(avatar_contradiction_clause,[],[f973]) ).
fof(f973,plain,
( $false
| ~ spl1_3
| ~ spl1_16 ),
inference(resolution,[],[f952,f946]) ).
fof(f946,plain,
( pred_attacker(constr_aenc(constr_pkey(name_skB),constr_pkey(name_skB)))
| ~ spl1_3 ),
inference(resolution,[],[f943,f559]) ).
fof(f943,plain,
( ! [X0,X1] :
( ~ pred_attacker(tuple_2(X1,X0))
| pred_attacker(constr_aenc(X0,constr_pkey(name_skB))) )
| ~ spl1_3 ),
inference(subsumption_resolution,[],[f942,f504]) ).
fof(f942,plain,
( ! [X0,X1] :
( pred_attacker(constr_aenc(X0,constr_pkey(name_skB)))
| ~ pred_attacker(constr_pkey(name_skA))
| ~ pred_attacker(tuple_2(X1,X0)) )
| ~ spl1_3 ),
inference(resolution,[],[f934,f484]) ).
fof(f1055,plain,
( ~ spl1_3
| ~ spl1_5
| ~ spl1_16 ),
inference(avatar_contradiction_clause,[],[f974]) ).
fof(f974,plain,
( $false
| ~ spl1_3
| ~ spl1_5
| ~ spl1_16 ),
inference(resolution,[],[f952,f947]) ).
fof(f947,plain,
( pred_attacker(constr_aenc(constr_pkey(name_skA),constr_pkey(name_skB)))
| ~ spl1_3
| ~ spl1_5 ),
inference(resolution,[],[f943,f572]) ).
fof(f1054,plain,
( ~ spl1_3
| ~ spl1_16 ),
inference(avatar_contradiction_clause,[],[f977]) ).
fof(f977,plain,
( $false
| ~ spl1_3
| ~ spl1_16 ),
inference(resolution,[],[f952,f582]) ).
fof(f582,plain,
( ! [X0] : pred_attacker(constr_aenc(tuple_2(name_Na(X0),name_A),constr_pkey(name_skB)))
| ~ spl1_3 ),
inference(resolution,[],[f581,f558]) ).
fof(f1053,plain,
( ~ spl1_5
| ~ spl1_16 ),
inference(avatar_contradiction_clause,[],[f978]) ).
fof(f978,plain,
( $false
| ~ spl1_5
| ~ spl1_16 ),
inference(resolution,[],[f952,f583]) ).
fof(f1052,plain,
( ~ spl1_3
| ~ spl1_16 ),
inference(avatar_contradiction_clause,[],[f990]) ).
fof(f990,plain,
( $false
| ~ spl1_3
| ~ spl1_16 ),
inference(resolution,[],[f952,f558]) ).
fof(f1051,plain,
( ~ spl1_5
| ~ spl1_16 ),
inference(avatar_contradiction_clause,[],[f991]) ).
fof(f991,plain,
( $false
| ~ spl1_5
| ~ spl1_16 ),
inference(resolution,[],[f952,f570]) ).
fof(f1050,plain,
( ~ spl1_3
| ~ spl1_16 ),
inference(avatar_contradiction_clause,[],[f995]) ).
fof(f995,plain,
( $false
| ~ spl1_3
| ~ spl1_16 ),
inference(resolution,[],[f952,f559]) ).
fof(f1049,plain,
( ~ spl1_5
| ~ spl1_16 ),
inference(avatar_contradiction_clause,[],[f996]) ).
fof(f996,plain,
( $false
| ~ spl1_5
| ~ spl1_16 ),
inference(resolution,[],[f952,f572]) ).
fof(f1048,plain,
~ spl1_16,
inference(avatar_contradiction_clause,[],[f1001]) ).
fof(f1001,plain,
( $false
| ~ spl1_16 ),
inference(resolution,[],[f952,f328]) ).
fof(f328,plain,
pred_attacker(tuple_true),
inference(cnf_transformation,[],[f92]) ).
fof(f92,axiom,
pred_attacker(tuple_true),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax91) ).
fof(f1047,plain,
~ spl1_16,
inference(avatar_contradiction_clause,[],[f1002]) ).
fof(f1002,plain,
( $false
| ~ spl1_16 ),
inference(resolution,[],[f952,f419]) ).
fof(f1046,plain,
~ spl1_16,
inference(avatar_contradiction_clause,[],[f1004]) ).
fof(f1004,plain,
( $false
| ~ spl1_16 ),
inference(resolution,[],[f952,f418]) ).
fof(f1045,plain,
~ spl1_16,
inference(avatar_contradiction_clause,[],[f1006]) ).
fof(f1006,plain,
( $false
| ~ spl1_16 ),
inference(resolution,[],[f952,f417]) ).
fof(f1044,plain,
( ~ spl1_3
| ~ spl1_16 ),
inference(avatar_contradiction_clause,[],[f1009]) ).
fof(f1009,plain,
( $false
| ~ spl1_3
| ~ spl1_16 ),
inference(resolution,[],[f952,f553]) ).
fof(f1043,plain,
( ~ spl1_5
| ~ spl1_16 ),
inference(avatar_contradiction_clause,[],[f1010]) ).
fof(f1010,plain,
( $false
| ~ spl1_5
| ~ spl1_16 ),
inference(resolution,[],[f952,f565]) ).
fof(f1042,plain,
~ spl1_16,
inference(avatar_contradiction_clause,[],[f1013]) ).
fof(f1013,plain,
( $false
| ~ spl1_16 ),
inference(resolution,[],[f952,f329]) ).
fof(f329,plain,
pred_attacker(tuple_false),
inference(cnf_transformation,[],[f110]) ).
fof(f110,axiom,
pred_attacker(tuple_false),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax109) ).
fof(f1041,plain,
( ~ spl1_13
| ~ spl1_16 ),
inference(avatar_contradiction_clause,[],[f1015]) ).
fof(f1015,plain,
( $false
| ~ spl1_13
| ~ spl1_16 ),
inference(resolution,[],[f952,f615]) ).
fof(f615,plain,
( pred_attacker(tuple_client_B_out_6(name_objective))
| ~ spl1_13 ),
inference(avatar_component_clause,[],[f613]) ).
fof(f613,plain,
( spl1_13
<=> pred_attacker(tuple_client_B_out_6(name_objective)) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_13])]) ).
fof(f1040,plain,
~ spl1_16,
inference(avatar_contradiction_clause,[],[f1018]) ).
fof(f1018,plain,
( $false
| ~ spl1_16 ),
inference(resolution,[],[f952,f420]) ).
fof(f420,plain,
pred_attacker(tuple_client_B_out_1(name_B,name_A)),
inference(cnf_transformation,[],[f164]) ).
fof(f164,axiom,
pred_attacker(tuple_client_B_out_1(name_B,name_A)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax163) ).
fof(f1039,plain,
( ~ spl1_3
| ~ spl1_16 ),
inference(avatar_contradiction_clause,[],[f1029]) ).
fof(f1029,plain,
( $false
| ~ spl1_3
| ~ spl1_16 ),
inference(resolution,[],[f952,f904]) ).
fof(f904,plain,
( ! [X0] : pred_attacker(tuple_client_A_out_3(constr_aenc(tuple_2(name_Na(X0),name_A),constr_pkey(name_skB))))
| ~ spl1_3 ),
inference(resolution,[],[f903,f558]) ).
fof(f1038,plain,
( ~ spl1_5
| ~ spl1_16 ),
inference(avatar_contradiction_clause,[],[f1030]) ).
fof(f1030,plain,
( $false
| ~ spl1_5
| ~ spl1_16 ),
inference(resolution,[],[f952,f905]) ).
fof(f905,plain,
( ! [X0] : pred_attacker(tuple_client_A_out_3(constr_aenc(tuple_2(name_Na(X0),name_A),constr_pkey(name_skA))))
| ~ spl1_5 ),
inference(resolution,[],[f903,f570]) ).
fof(f1037,plain,
~ spl1_16,
inference(avatar_contradiction_clause,[],[f1031]) ).
fof(f1031,plain,
( $false
| ~ spl1_16 ),
inference(resolution,[],[f952,f421]) ).
fof(f421,plain,
pred_attacker(tuple_client_A_out_1(name_A,name_I)),
inference(cnf_transformation,[],[f161]) ).
fof(f161,axiom,
pred_attacker(tuple_client_A_out_1(name_A,name_I)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax160) ).
fof(f1036,plain,
~ spl1_16,
inference(avatar_contradiction_clause,[],[f1035]) ).
fof(f1035,plain,
( $false
| ~ spl1_16 ),
inference(resolution,[],[f952,f424]) ).
fof(f424,plain,
! [X0] : pred_attacker(name_new0x2Dname(X0)),
inference(cnf_transformation,[],[f172]) ).
fof(f172,plain,
! [X0] : pred_attacker(name_new0x2Dname(X0)),
inference(rectify,[],[f155]) ).
fof(f155,axiom,
! [X97] : pred_attacker(name_new0x2Dname(X97)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax154) ).
fof(f956,plain,
( spl1_16
| spl1_17
| ~ spl1_3 ),
inference(avatar_split_clause,[],[f945,f551,f954,f951]) ).
fof(f954,plain,
( spl1_17
<=> ! [X0] :
( pred_attacker(constr_aenc(X0,constr_pkey(name_skB)))
| ~ pred_attacker(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_17])]) ).
fof(f945,plain,
( ! [X0,X1] :
( pred_attacker(constr_aenc(X0,constr_pkey(name_skB)))
| ~ pred_attacker(X0)
| ~ pred_attacker(X1) )
| ~ spl1_3 ),
inference(resolution,[],[f943,f487]) ).
fof(f902,plain,
( ~ spl1_14
| spl1_15 ),
inference(avatar_split_clause,[],[f584,f900,f896]) ).
fof(f896,plain,
( spl1_14
<=> pred_attacker(name_skS) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_14])]) ).
fof(f900,plain,
( spl1_15
<=> ! [X2,X0,X1] :
( pred_attacker(constr_aenc(tuple_2(name_Na(X0),name_A),X1))
| ~ pred_attacker(tuple_2(X2,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_15])]) ).
fof(f584,plain,
! [X2,X0,X1] :
( pred_attacker(constr_aenc(tuple_2(name_Na(X0),name_A),X1))
| ~ pred_attacker(name_skS)
| ~ pred_attacker(tuple_2(X2,X1)) ),
inference(resolution,[],[f581,f482]) ).
fof(f482,plain,
! [X0,X1] :
( pred_attacker(constr_sign(X0,X1))
| ~ pred_attacker(X1)
| ~ pred_attacker(X0) ),
inference(cnf_transformation,[],[f300]) ).
fof(f300,plain,
! [X0,X1] :
( pred_attacker(constr_sign(X0,X1))
| ~ pred_attacker(X1)
| ~ pred_attacker(X0) ),
inference(flattening,[],[f299]) ).
fof(f299,plain,
! [X0,X1] :
( pred_attacker(constr_sign(X0,X1))
| ~ pred_attacker(X1)
| ~ pred_attacker(X0) ),
inference(ennf_transformation,[],[f230]) ).
fof(f230,plain,
! [X0,X1] :
( ( pred_attacker(X1)
& pred_attacker(X0) )
=> pred_attacker(constr_sign(X0,X1)) ),
inference(rectify,[],[f93]) ).
fof(f93,axiom,
! [X22,X23] :
( ( pred_attacker(X23)
& pred_attacker(X22) )
=> pred_attacker(constr_sign(X22,X23)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax92) ).
fof(f892,plain,
( spl1_2
| ~ spl1_13 ),
inference(avatar_contradiction_clause,[],[f891]) ).
fof(f891,plain,
( $false
| spl1_2
| ~ spl1_13 ),
inference(subsumption_resolution,[],[f890,f542]) ).
fof(f542,plain,
( ~ pred_attacker(name_objective)
| spl1_2 ),
inference(avatar_component_clause,[],[f540]) ).
fof(f890,plain,
( pred_attacker(name_objective)
| ~ spl1_13 ),
inference(resolution,[],[f615,f449]) ).
fof(f449,plain,
! [X0] :
( ~ pred_attacker(tuple_client_B_out_6(X0))
| pred_attacker(X0) ),
inference(cnf_transformation,[],[f269]) ).
fof(f269,plain,
! [X0] :
( pred_attacker(X0)
| ~ pred_attacker(tuple_client_B_out_6(X0)) ),
inference(ennf_transformation,[],[f198]) ).
fof(f198,plain,
! [X0] :
( pred_attacker(tuple_client_B_out_6(X0))
=> pred_attacker(X0) ),
inference(rectify,[],[f114]) ).
fof(f114,axiom,
! [X51] :
( pred_attacker(tuple_client_B_out_6(X51))
=> pred_attacker(X51) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax113) ).
fof(f889,plain,
~ spl1_12,
inference(avatar_contradiction_clause,[],[f800]) ).
fof(f800,plain,
( $false
| ~ spl1_12 ),
inference(resolution,[],[f799,f334]) ).
fof(f799,plain,
( ! [X0] : ~ pred_attacker(X0)
| ~ spl1_12 ),
inference(resolution,[],[f611,f438]) ).
fof(f611,plain,
( ! [X3] : ~ pred_attacker(tuple_client_B_in_2(X3))
| ~ spl1_12 ),
inference(avatar_component_clause,[],[f610]) ).
fof(f610,plain,
( spl1_12
<=> ! [X3] : ~ pred_attacker(tuple_client_B_in_2(X3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_12])]) ).
fof(f888,plain,
~ spl1_12,
inference(avatar_contradiction_clause,[],[f801]) ).
fof(f801,plain,
( $false
| ~ spl1_12 ),
inference(resolution,[],[f799,f331]) ).
fof(f887,plain,
~ spl1_12,
inference(avatar_contradiction_clause,[],[f802]) ).
fof(f802,plain,
( $false
| ~ spl1_12 ),
inference(resolution,[],[f799,f330]) ).
fof(f886,plain,
~ spl1_12,
inference(avatar_contradiction_clause,[],[f803]) ).
fof(f803,plain,
( $false
| ~ spl1_12 ),
inference(resolution,[],[f799,f332]) ).
fof(f885,plain,
~ spl1_12,
inference(avatar_contradiction_clause,[],[f804]) ).
fof(f804,plain,
( $false
| ~ spl1_12 ),
inference(resolution,[],[f799,f333]) ).
fof(f884,plain,
~ spl1_12,
inference(avatar_contradiction_clause,[],[f805]) ).
fof(f805,plain,
( $false
| ~ spl1_12 ),
inference(resolution,[],[f799,f338]) ).
fof(f883,plain,
~ spl1_12,
inference(avatar_contradiction_clause,[],[f806]) ).
fof(f806,plain,
( $false
| ~ spl1_12 ),
inference(resolution,[],[f799,f336]) ).
fof(f882,plain,
~ spl1_12,
inference(avatar_contradiction_clause,[],[f807]) ).
fof(f807,plain,
( $false
| ~ spl1_12 ),
inference(resolution,[],[f799,f337]) ).
fof(f881,plain,
~ spl1_12,
inference(avatar_contradiction_clause,[],[f808]) ).
fof(f808,plain,
( $false
| ~ spl1_12 ),
inference(resolution,[],[f799,f335]) ).
fof(f880,plain,
~ spl1_12,
inference(avatar_contradiction_clause,[],[f810]) ).
fof(f810,plain,
( $false
| ~ spl1_12 ),
inference(resolution,[],[f799,f504]) ).
fof(f879,plain,
~ spl1_12,
inference(avatar_contradiction_clause,[],[f811]) ).
fof(f811,plain,
( $false
| ~ spl1_12 ),
inference(resolution,[],[f799,f506]) ).
fof(f878,plain,
~ spl1_12,
inference(avatar_contradiction_clause,[],[f812]) ).
fof(f812,plain,
( $false
| ~ spl1_12 ),
inference(resolution,[],[f799,f499]) ).
fof(f877,plain,
( ~ spl1_3
| ~ spl1_12 ),
inference(avatar_contradiction_clause,[],[f816]) ).
fof(f816,plain,
( $false
| ~ spl1_3
| ~ spl1_12 ),
inference(resolution,[],[f799,f582]) ).
fof(f876,plain,
( ~ spl1_5
| ~ spl1_12 ),
inference(avatar_contradiction_clause,[],[f817]) ).
fof(f817,plain,
( $false
| ~ spl1_5
| ~ spl1_12 ),
inference(resolution,[],[f799,f583]) ).
fof(f875,plain,
( ~ spl1_3
| ~ spl1_12 ),
inference(avatar_contradiction_clause,[],[f822]) ).
fof(f822,plain,
( $false
| ~ spl1_3
| ~ spl1_12 ),
inference(resolution,[],[f799,f558]) ).
fof(f874,plain,
( ~ spl1_5
| ~ spl1_12 ),
inference(avatar_contradiction_clause,[],[f823]) ).
fof(f823,plain,
( $false
| ~ spl1_5
| ~ spl1_12 ),
inference(resolution,[],[f799,f570]) ).
fof(f873,plain,
( ~ spl1_3
| ~ spl1_12 ),
inference(avatar_contradiction_clause,[],[f827]) ).
fof(f827,plain,
( $false
| ~ spl1_3
| ~ spl1_12 ),
inference(resolution,[],[f799,f559]) ).
fof(f872,plain,
( ~ spl1_5
| ~ spl1_12 ),
inference(avatar_contradiction_clause,[],[f828]) ).
fof(f828,plain,
( $false
| ~ spl1_5
| ~ spl1_12 ),
inference(resolution,[],[f799,f572]) ).
fof(f871,plain,
~ spl1_12,
inference(avatar_contradiction_clause,[],[f833]) ).
fof(f833,plain,
( $false
| ~ spl1_12 ),
inference(resolution,[],[f799,f328]) ).
fof(f870,plain,
~ spl1_12,
inference(avatar_contradiction_clause,[],[f834]) ).
fof(f834,plain,
( $false
| ~ spl1_12 ),
inference(resolution,[],[f799,f419]) ).
fof(f869,plain,
~ spl1_12,
inference(avatar_contradiction_clause,[],[f836]) ).
fof(f836,plain,
( $false
| ~ spl1_12 ),
inference(resolution,[],[f799,f418]) ).
fof(f868,plain,
~ spl1_12,
inference(avatar_contradiction_clause,[],[f838]) ).
fof(f838,plain,
( $false
| ~ spl1_12 ),
inference(resolution,[],[f799,f417]) ).
fof(f867,plain,
( ~ spl1_3
| ~ spl1_12 ),
inference(avatar_contradiction_clause,[],[f841]) ).
fof(f841,plain,
( $false
| ~ spl1_3
| ~ spl1_12 ),
inference(resolution,[],[f799,f553]) ).
fof(f866,plain,
( ~ spl1_5
| ~ spl1_12 ),
inference(avatar_contradiction_clause,[],[f842]) ).
fof(f842,plain,
( $false
| ~ spl1_5
| ~ spl1_12 ),
inference(resolution,[],[f799,f565]) ).
fof(f865,plain,
~ spl1_12,
inference(avatar_contradiction_clause,[],[f845]) ).
fof(f845,plain,
( $false
| ~ spl1_12 ),
inference(resolution,[],[f799,f329]) ).
fof(f864,plain,
~ spl1_12,
inference(avatar_contradiction_clause,[],[f848]) ).
fof(f848,plain,
( $false
| ~ spl1_12 ),
inference(resolution,[],[f799,f420]) ).
fof(f863,plain,
~ spl1_12,
inference(avatar_contradiction_clause,[],[f857]) ).
fof(f857,plain,
( $false
| ~ spl1_12 ),
inference(resolution,[],[f799,f421]) ).
fof(f862,plain,
~ spl1_12,
inference(avatar_contradiction_clause,[],[f861]) ).
fof(f861,plain,
( $false
| ~ spl1_12 ),
inference(resolution,[],[f799,f424]) ).
fof(f798,plain,
~ spl1_11,
inference(avatar_contradiction_clause,[],[f709]) ).
fof(f709,plain,
( $false
| ~ spl1_11 ),
inference(resolution,[],[f708,f334]) ).
fof(f708,plain,
( ! [X0] : ~ pred_attacker(X0)
| ~ spl1_11 ),
inference(resolution,[],[f608,f440]) ).
fof(f440,plain,
! [X0] :
( pred_attacker(tuple_client_B_in_3(X0))
| ~ pred_attacker(X0) ),
inference(cnf_transformation,[],[f260]) ).
fof(f260,plain,
! [X0] :
( pred_attacker(tuple_client_B_in_3(X0))
| ~ pred_attacker(X0) ),
inference(ennf_transformation,[],[f189]) ).
fof(f189,plain,
! [X0] :
( pred_attacker(X0)
=> pred_attacker(tuple_client_B_in_3(X0)) ),
inference(rectify,[],[f122]) ).
fof(f122,axiom,
! [X62] :
( pred_attacker(X62)
=> pred_attacker(tuple_client_B_in_3(X62)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax121) ).
fof(f608,plain,
( ! [X1] : ~ pred_attacker(tuple_client_B_in_3(X1))
| ~ spl1_11 ),
inference(avatar_component_clause,[],[f607]) ).
fof(f797,plain,
~ spl1_11,
inference(avatar_contradiction_clause,[],[f710]) ).
fof(f710,plain,
( $false
| ~ spl1_11 ),
inference(resolution,[],[f708,f331]) ).
fof(f796,plain,
~ spl1_11,
inference(avatar_contradiction_clause,[],[f711]) ).
fof(f711,plain,
( $false
| ~ spl1_11 ),
inference(resolution,[],[f708,f330]) ).
fof(f795,plain,
~ spl1_11,
inference(avatar_contradiction_clause,[],[f712]) ).
fof(f712,plain,
( $false
| ~ spl1_11 ),
inference(resolution,[],[f708,f332]) ).
fof(f794,plain,
~ spl1_11,
inference(avatar_contradiction_clause,[],[f713]) ).
fof(f713,plain,
( $false
| ~ spl1_11 ),
inference(resolution,[],[f708,f333]) ).
fof(f793,plain,
~ spl1_11,
inference(avatar_contradiction_clause,[],[f714]) ).
fof(f714,plain,
( $false
| ~ spl1_11 ),
inference(resolution,[],[f708,f338]) ).
fof(f792,plain,
~ spl1_11,
inference(avatar_contradiction_clause,[],[f715]) ).
fof(f715,plain,
( $false
| ~ spl1_11 ),
inference(resolution,[],[f708,f336]) ).
fof(f791,plain,
~ spl1_11,
inference(avatar_contradiction_clause,[],[f716]) ).
fof(f716,plain,
( $false
| ~ spl1_11 ),
inference(resolution,[],[f708,f337]) ).
fof(f790,plain,
~ spl1_11,
inference(avatar_contradiction_clause,[],[f717]) ).
fof(f717,plain,
( $false
| ~ spl1_11 ),
inference(resolution,[],[f708,f335]) ).
fof(f789,plain,
~ spl1_11,
inference(avatar_contradiction_clause,[],[f719]) ).
fof(f719,plain,
( $false
| ~ spl1_11 ),
inference(resolution,[],[f708,f504]) ).
fof(f788,plain,
~ spl1_11,
inference(avatar_contradiction_clause,[],[f720]) ).
fof(f720,plain,
( $false
| ~ spl1_11 ),
inference(resolution,[],[f708,f506]) ).
fof(f787,plain,
~ spl1_11,
inference(avatar_contradiction_clause,[],[f721]) ).
fof(f721,plain,
( $false
| ~ spl1_11 ),
inference(resolution,[],[f708,f499]) ).
fof(f786,plain,
( ~ spl1_3
| ~ spl1_11 ),
inference(avatar_contradiction_clause,[],[f725]) ).
fof(f725,plain,
( $false
| ~ spl1_3
| ~ spl1_11 ),
inference(resolution,[],[f708,f582]) ).
fof(f785,plain,
( ~ spl1_5
| ~ spl1_11 ),
inference(avatar_contradiction_clause,[],[f726]) ).
fof(f726,plain,
( $false
| ~ spl1_5
| ~ spl1_11 ),
inference(resolution,[],[f708,f583]) ).
fof(f784,plain,
( ~ spl1_3
| ~ spl1_11 ),
inference(avatar_contradiction_clause,[],[f731]) ).
fof(f731,plain,
( $false
| ~ spl1_3
| ~ spl1_11 ),
inference(resolution,[],[f708,f558]) ).
fof(f783,plain,
( ~ spl1_5
| ~ spl1_11 ),
inference(avatar_contradiction_clause,[],[f732]) ).
fof(f732,plain,
( $false
| ~ spl1_5
| ~ spl1_11 ),
inference(resolution,[],[f708,f570]) ).
fof(f782,plain,
( ~ spl1_3
| ~ spl1_11 ),
inference(avatar_contradiction_clause,[],[f736]) ).
fof(f736,plain,
( $false
| ~ spl1_3
| ~ spl1_11 ),
inference(resolution,[],[f708,f559]) ).
fof(f781,plain,
( ~ spl1_5
| ~ spl1_11 ),
inference(avatar_contradiction_clause,[],[f737]) ).
fof(f737,plain,
( $false
| ~ spl1_5
| ~ spl1_11 ),
inference(resolution,[],[f708,f572]) ).
fof(f780,plain,
~ spl1_11,
inference(avatar_contradiction_clause,[],[f742]) ).
fof(f742,plain,
( $false
| ~ spl1_11 ),
inference(resolution,[],[f708,f328]) ).
fof(f779,plain,
~ spl1_11,
inference(avatar_contradiction_clause,[],[f743]) ).
fof(f743,plain,
( $false
| ~ spl1_11 ),
inference(resolution,[],[f708,f419]) ).
fof(f778,plain,
~ spl1_11,
inference(avatar_contradiction_clause,[],[f745]) ).
fof(f745,plain,
( $false
| ~ spl1_11 ),
inference(resolution,[],[f708,f418]) ).
fof(f777,plain,
~ spl1_11,
inference(avatar_contradiction_clause,[],[f747]) ).
fof(f747,plain,
( $false
| ~ spl1_11 ),
inference(resolution,[],[f708,f417]) ).
fof(f776,plain,
( ~ spl1_3
| ~ spl1_11 ),
inference(avatar_contradiction_clause,[],[f750]) ).
fof(f750,plain,
( $false
| ~ spl1_3
| ~ spl1_11 ),
inference(resolution,[],[f708,f553]) ).
fof(f775,plain,
( ~ spl1_5
| ~ spl1_11 ),
inference(avatar_contradiction_clause,[],[f751]) ).
fof(f751,plain,
( $false
| ~ spl1_5
| ~ spl1_11 ),
inference(resolution,[],[f708,f565]) ).
fof(f774,plain,
~ spl1_11,
inference(avatar_contradiction_clause,[],[f754]) ).
fof(f754,plain,
( $false
| ~ spl1_11 ),
inference(resolution,[],[f708,f329]) ).
fof(f773,plain,
~ spl1_11,
inference(avatar_contradiction_clause,[],[f757]) ).
fof(f757,plain,
( $false
| ~ spl1_11 ),
inference(resolution,[],[f708,f420]) ).
fof(f772,plain,
~ spl1_11,
inference(avatar_contradiction_clause,[],[f766]) ).
fof(f766,plain,
( $false
| ~ spl1_11 ),
inference(resolution,[],[f708,f421]) ).
fof(f771,plain,
~ spl1_11,
inference(avatar_contradiction_clause,[],[f770]) ).
fof(f770,plain,
( $false
| ~ spl1_11 ),
inference(resolution,[],[f708,f424]) ).
fof(f707,plain,
~ spl1_10,
inference(avatar_contradiction_clause,[],[f618]) ).
fof(f618,plain,
( $false
| ~ spl1_10 ),
inference(resolution,[],[f617,f334]) ).
fof(f617,plain,
( ! [X0] : ~ pred_attacker(X0)
| ~ spl1_10 ),
inference(resolution,[],[f605,f436]) ).
fof(f436,plain,
! [X0] :
( pred_attacker(tuple_client_B_in_5(X0))
| ~ pred_attacker(X0) ),
inference(cnf_transformation,[],[f256]) ).
fof(f256,plain,
! [X0] :
( pred_attacker(tuple_client_B_in_5(X0))
| ~ pred_attacker(X0) ),
inference(ennf_transformation,[],[f185]) ).
fof(f185,plain,
! [X0] :
( pred_attacker(X0)
=> pred_attacker(tuple_client_B_in_5(X0)) ),
inference(rectify,[],[f120]) ).
fof(f120,axiom,
! [X60] :
( pred_attacker(X60)
=> pred_attacker(tuple_client_B_in_5(X60)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax119) ).
fof(f605,plain,
( ! [X2] : ~ pred_attacker(tuple_client_B_in_5(X2))
| ~ spl1_10 ),
inference(avatar_component_clause,[],[f604]) ).
fof(f604,plain,
( spl1_10
<=> ! [X2] : ~ pred_attacker(tuple_client_B_in_5(X2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_10])]) ).
fof(f706,plain,
~ spl1_10,
inference(avatar_contradiction_clause,[],[f619]) ).
fof(f619,plain,
( $false
| ~ spl1_10 ),
inference(resolution,[],[f617,f331]) ).
fof(f705,plain,
~ spl1_10,
inference(avatar_contradiction_clause,[],[f620]) ).
fof(f620,plain,
( $false
| ~ spl1_10 ),
inference(resolution,[],[f617,f330]) ).
fof(f704,plain,
~ spl1_10,
inference(avatar_contradiction_clause,[],[f621]) ).
fof(f621,plain,
( $false
| ~ spl1_10 ),
inference(resolution,[],[f617,f332]) ).
fof(f703,plain,
~ spl1_10,
inference(avatar_contradiction_clause,[],[f622]) ).
fof(f622,plain,
( $false
| ~ spl1_10 ),
inference(resolution,[],[f617,f333]) ).
fof(f702,plain,
~ spl1_10,
inference(avatar_contradiction_clause,[],[f623]) ).
fof(f623,plain,
( $false
| ~ spl1_10 ),
inference(resolution,[],[f617,f338]) ).
fof(f701,plain,
~ spl1_10,
inference(avatar_contradiction_clause,[],[f624]) ).
fof(f624,plain,
( $false
| ~ spl1_10 ),
inference(resolution,[],[f617,f336]) ).
fof(f700,plain,
~ spl1_10,
inference(avatar_contradiction_clause,[],[f625]) ).
fof(f625,plain,
( $false
| ~ spl1_10 ),
inference(resolution,[],[f617,f337]) ).
fof(f699,plain,
~ spl1_10,
inference(avatar_contradiction_clause,[],[f626]) ).
fof(f626,plain,
( $false
| ~ spl1_10 ),
inference(resolution,[],[f617,f335]) ).
fof(f698,plain,
~ spl1_10,
inference(avatar_contradiction_clause,[],[f628]) ).
fof(f628,plain,
( $false
| ~ spl1_10 ),
inference(resolution,[],[f617,f504]) ).
fof(f697,plain,
~ spl1_10,
inference(avatar_contradiction_clause,[],[f629]) ).
fof(f629,plain,
( $false
| ~ spl1_10 ),
inference(resolution,[],[f617,f506]) ).
fof(f696,plain,
~ spl1_10,
inference(avatar_contradiction_clause,[],[f630]) ).
fof(f630,plain,
( $false
| ~ spl1_10 ),
inference(resolution,[],[f617,f499]) ).
fof(f695,plain,
( ~ spl1_3
| ~ spl1_10 ),
inference(avatar_contradiction_clause,[],[f634]) ).
fof(f634,plain,
( $false
| ~ spl1_3
| ~ spl1_10 ),
inference(resolution,[],[f617,f582]) ).
fof(f694,plain,
( ~ spl1_5
| ~ spl1_10 ),
inference(avatar_contradiction_clause,[],[f635]) ).
fof(f635,plain,
( $false
| ~ spl1_5
| ~ spl1_10 ),
inference(resolution,[],[f617,f583]) ).
fof(f693,plain,
( ~ spl1_3
| ~ spl1_10 ),
inference(avatar_contradiction_clause,[],[f640]) ).
fof(f640,plain,
( $false
| ~ spl1_3
| ~ spl1_10 ),
inference(resolution,[],[f617,f558]) ).
fof(f692,plain,
( ~ spl1_5
| ~ spl1_10 ),
inference(avatar_contradiction_clause,[],[f641]) ).
fof(f641,plain,
( $false
| ~ spl1_5
| ~ spl1_10 ),
inference(resolution,[],[f617,f570]) ).
fof(f691,plain,
( ~ spl1_3
| ~ spl1_10 ),
inference(avatar_contradiction_clause,[],[f645]) ).
fof(f645,plain,
( $false
| ~ spl1_3
| ~ spl1_10 ),
inference(resolution,[],[f617,f559]) ).
fof(f690,plain,
( ~ spl1_5
| ~ spl1_10 ),
inference(avatar_contradiction_clause,[],[f646]) ).
fof(f646,plain,
( $false
| ~ spl1_5
| ~ spl1_10 ),
inference(resolution,[],[f617,f572]) ).
fof(f689,plain,
~ spl1_10,
inference(avatar_contradiction_clause,[],[f651]) ).
fof(f651,plain,
( $false
| ~ spl1_10 ),
inference(resolution,[],[f617,f328]) ).
fof(f688,plain,
~ spl1_10,
inference(avatar_contradiction_clause,[],[f652]) ).
fof(f652,plain,
( $false
| ~ spl1_10 ),
inference(resolution,[],[f617,f419]) ).
fof(f687,plain,
~ spl1_10,
inference(avatar_contradiction_clause,[],[f654]) ).
fof(f654,plain,
( $false
| ~ spl1_10 ),
inference(resolution,[],[f617,f418]) ).
fof(f686,plain,
~ spl1_10,
inference(avatar_contradiction_clause,[],[f656]) ).
fof(f656,plain,
( $false
| ~ spl1_10 ),
inference(resolution,[],[f617,f417]) ).
fof(f685,plain,
( ~ spl1_3
| ~ spl1_10 ),
inference(avatar_contradiction_clause,[],[f659]) ).
fof(f659,plain,
( $false
| ~ spl1_3
| ~ spl1_10 ),
inference(resolution,[],[f617,f553]) ).
fof(f684,plain,
( ~ spl1_5
| ~ spl1_10 ),
inference(avatar_contradiction_clause,[],[f660]) ).
fof(f660,plain,
( $false
| ~ spl1_5
| ~ spl1_10 ),
inference(resolution,[],[f617,f565]) ).
fof(f683,plain,
~ spl1_10,
inference(avatar_contradiction_clause,[],[f663]) ).
fof(f663,plain,
( $false
| ~ spl1_10 ),
inference(resolution,[],[f617,f329]) ).
fof(f682,plain,
~ spl1_10,
inference(avatar_contradiction_clause,[],[f666]) ).
fof(f666,plain,
( $false
| ~ spl1_10 ),
inference(resolution,[],[f617,f420]) ).
fof(f681,plain,
~ spl1_10,
inference(avatar_contradiction_clause,[],[f675]) ).
fof(f675,plain,
( $false
| ~ spl1_10 ),
inference(resolution,[],[f617,f421]) ).
fof(f680,plain,
~ spl1_10,
inference(avatar_contradiction_clause,[],[f679]) ).
fof(f679,plain,
( $false
| ~ spl1_10 ),
inference(resolution,[],[f617,f424]) ).
fof(f616,plain,
( spl1_10
| spl1_11
| spl1_12
| spl1_13 ),
inference(avatar_split_clause,[],[f596,f613,f610,f607,f604]) ).
fof(f596,plain,
! [X2,X3,X1] :
( pred_attacker(tuple_client_B_out_6(name_objective))
| ~ pred_attacker(tuple_client_B_in_2(X3))
| ~ pred_attacker(tuple_client_B_in_3(X1))
| ~ pred_attacker(tuple_client_B_in_5(X2)) ),
inference(subsumption_resolution,[],[f595,f457]) ).
fof(f595,plain,
! [X2,X3,X0,X1] :
( pred_attacker(tuple_client_B_out_6(name_objective))
| ~ pred_attacker(tuple_client_B_in_2(X3))
| ~ pred_attacker(tuple_client_B_in_3(X1))
| ~ pred_attacker(tuple_client_B_in_5(X2))
| ~ pred_eq_bitstring_bitstring(name_Nb(X0),constr_adec(X2,name_skB)) ),
inference(subsumption_resolution,[],[f594,f457]) ).
fof(f594,plain,
! [X2,X3,X0,X1] :
( pred_attacker(tuple_client_B_out_6(name_objective))
| ~ pred_attacker(tuple_client_B_in_2(X3))
| ~ pred_attacker(tuple_client_B_in_3(X1))
| ~ pred_eq_bitstring_bitstring(name_A,constr_tuple_2_get_1(constr_adec(X1,name_skB)))
| ~ pred_attacker(tuple_client_B_in_5(X2))
| ~ pred_eq_bitstring_bitstring(name_Nb(X0),constr_adec(X2,name_skB)) ),
inference(subsumption_resolution,[],[f494,f457]) ).
fof(f494,plain,
! [X2,X3,X0,X1] :
( pred_attacker(tuple_client_B_out_6(name_objective))
| ~ pred_attacker(tuple_client_B_in_2(X3))
| ~ pred_eq_bitstring_bitstring(name_A,constr_tuple_2_get_0x30(constr_checksign(X3,constr_pkey(name_skS))))
| ~ pred_attacker(tuple_client_B_in_3(X1))
| ~ pred_eq_bitstring_bitstring(name_A,constr_tuple_2_get_1(constr_adec(X1,name_skB)))
| ~ pred_attacker(tuple_client_B_in_5(X2))
| ~ pred_eq_bitstring_bitstring(name_Nb(X0),constr_adec(X2,name_skB)) ),
inference(cnf_transformation,[],[f324]) ).
fof(f324,plain,
! [X0,X1,X2,X3] :
( pred_attacker(tuple_client_B_out_6(name_objective))
| ~ pred_attacker(tuple_client_B_in_2(X3))
| ~ pred_eq_bitstring_bitstring(name_A,constr_tuple_2_get_0x30(constr_checksign(X3,constr_pkey(name_skS))))
| ~ pred_attacker(tuple_client_B_in_3(X1))
| ~ pred_eq_bitstring_bitstring(name_A,constr_tuple_2_get_1(constr_adec(X1,name_skB)))
| ~ pred_attacker(tuple_client_B_in_5(X2))
| ~ pred_eq_bitstring_bitstring(name_Nb(X0),constr_adec(X2,name_skB)) ),
inference(flattening,[],[f323]) ).
fof(f323,plain,
! [X0,X1,X2,X3] :
( pred_attacker(tuple_client_B_out_6(name_objective))
| ~ pred_attacker(tuple_client_B_in_2(X3))
| ~ pred_eq_bitstring_bitstring(name_A,constr_tuple_2_get_0x30(constr_checksign(X3,constr_pkey(name_skS))))
| ~ pred_attacker(tuple_client_B_in_3(X1))
| ~ pred_eq_bitstring_bitstring(name_A,constr_tuple_2_get_1(constr_adec(X1,name_skB)))
| ~ pred_attacker(tuple_client_B_in_5(X2))
| ~ pred_eq_bitstring_bitstring(name_Nb(X0),constr_adec(X2,name_skB)) ),
inference(ennf_transformation,[],[f242]) ).
fof(f242,plain,
! [X0,X1,X2,X3] :
( ( pred_attacker(tuple_client_B_in_2(X3))
& pred_eq_bitstring_bitstring(name_A,constr_tuple_2_get_0x30(constr_checksign(X3,constr_pkey(name_skS))))
& pred_attacker(tuple_client_B_in_3(X1))
& pred_eq_bitstring_bitstring(name_A,constr_tuple_2_get_1(constr_adec(X1,name_skB)))
& pred_attacker(tuple_client_B_in_5(X2))
& pred_eq_bitstring_bitstring(name_Nb(X0),constr_adec(X2,name_skB)) )
=> pred_attacker(tuple_client_B_out_6(name_objective)) ),
inference(rectify,[],[f166]) ).
fof(f166,axiom,
! [X106,X107,X108,X109] :
( ( pred_attacker(tuple_client_B_in_2(X109))
& pred_eq_bitstring_bitstring(name_A,constr_tuple_2_get_0x30(constr_checksign(X109,constr_pkey(name_skS))))
& pred_attacker(tuple_client_B_in_3(X107))
& pred_eq_bitstring_bitstring(name_A,constr_tuple_2_get_1(constr_adec(X107,name_skB)))
& pred_attacker(tuple_client_B_in_5(X108))
& pred_eq_bitstring_bitstring(name_Nb(X106),constr_adec(X108,name_skB)) )
=> pred_attacker(tuple_client_B_out_6(name_objective)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax165) ).
fof(f602,plain,
( spl1_7
| ~ spl1_9
| ~ spl1_5 ),
inference(avatar_split_clause,[],[f597,f563,f599,f587]) ).
fof(f599,plain,
( spl1_9
<=> pred_attacker(name_skA) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_9])]) ).
fof(f597,plain,
( ! [X0] :
( ~ pred_attacker(name_skA)
| pred_attacker(tuple_2(name_Na(X0),name_A)) )
| ~ spl1_5 ),
inference(resolution,[],[f583,f530]) ).
fof(f593,plain,
( spl1_7
| ~ spl1_8
| ~ spl1_3 ),
inference(avatar_split_clause,[],[f585,f551,f590,f587]) ).
fof(f590,plain,
( spl1_8
<=> pred_attacker(name_skB) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_8])]) ).
fof(f585,plain,
( ! [X0] :
( ~ pred_attacker(name_skB)
| pred_attacker(tuple_2(name_Na(X0),name_A)) )
| ~ spl1_3 ),
inference(resolution,[],[f582,f530]) ).
fof(f569,plain,
( spl1_5
| spl1_6 ),
inference(avatar_split_clause,[],[f548,f567,f563]) ).
fof(f548,plain,
! [X0] :
( ~ pred_attacker(tuple_key_retrieval_server_in_1(X0,name_A))
| pred_attacker(tuple_key_retrieval_server_out_2(constr_sign(tuple_2(name_A,constr_pkey(name_skA)),name_skS))) ),
inference(resolution,[],[f491,f423]) ).
fof(f423,plain,
pred_table(tuple_keys(name_A,constr_pkey(name_skA))),
inference(cnf_transformation,[],[f156]) ).
fof(f156,axiom,
pred_table(tuple_keys(name_A,constr_pkey(name_skA))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax155) ).
fof(f557,plain,
( spl1_3
| spl1_4 ),
inference(avatar_split_clause,[],[f547,f555,f551]) ).
fof(f555,plain,
( spl1_4
<=> ! [X0] : ~ pred_attacker(tuple_key_retrieval_server_in_1(X0,name_B)) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_4])]) ).
fof(f547,plain,
! [X0] :
( ~ pred_attacker(tuple_key_retrieval_server_in_1(X0,name_B))
| pred_attacker(tuple_key_retrieval_server_out_2(constr_sign(tuple_2(name_B,constr_pkey(name_skB)),name_skS))) ),
inference(resolution,[],[f491,f422]) ).
fof(f422,plain,
pred_table(tuple_keys(name_B,constr_pkey(name_skB))),
inference(cnf_transformation,[],[f157]) ).
fof(f157,axiom,
pred_table(tuple_keys(name_B,constr_pkey(name_skB))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax156) ).
fof(f543,plain,
( ~ spl1_1
| ~ spl1_2 ),
inference(avatar_split_clause,[],[f532,f540,f536]) ).
fof(f532,plain,
( ~ pred_attacker(name_objective)
| ~ pred_attacker(name_Nb(sK0)) ),
inference(resolution,[],[f487,f327]) ).
fof(f327,plain,
~ pred_attacker(tuple_2(name_Nb(sK0),name_objective)),
inference(cnf_transformation,[],[f326]) ).
fof(f326,plain,
~ pred_attacker(tuple_2(name_Nb(sK0),name_objective)),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f244,f325]) ).
fof(f325,plain,
( ? [X0] : ~ pred_attacker(tuple_2(name_Nb(X0),name_objective))
=> ~ pred_attacker(tuple_2(name_Nb(sK0),name_objective)) ),
introduced(choice_axiom,[]) ).
fof(f244,plain,
? [X0] : ~ pred_attacker(tuple_2(name_Nb(X0),name_objective)),
inference(ennf_transformation,[],[f171]) ).
fof(f171,plain,
~ ! [X0] : pred_attacker(tuple_2(name_Nb(X0),name_objective)),
inference(rectify,[],[f170]) ).
fof(f170,negated_conjecture,
~ ! [X115] : pred_attacker(tuple_2(name_Nb(X115),name_objective)),
inference(negated_conjecture,[],[f169]) ).
fof(f169,conjecture,
! [X115] : pred_attacker(tuple_2(name_Nb(X115),name_objective)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co0) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SWW960+1 : TPTP v8.1.2. Released v7.4.0.
% 0.07/0.15 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.36 % Computer : n024.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Fri May 3 19:38:53 EDT 2024
% 0.15/0.36 % CPUTime :
% 0.15/0.37 % (31943)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.38 % (31946)WARNING: value z3 for option sas not known
% 0.15/0.39 % (31946)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)
% 0.15/0.39 % (31947)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.15/0.39 % (31949)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)
% 0.15/0.39 % (31948)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)
% 0.15/0.39 % (31950)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)
% 0.15/0.39 % (31945)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.15/0.39 % (31944)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.15/0.39 Detected minimum model sizes of [13]
% 0.15/0.39 Detected maximum model sizes of [max]
% 0.22/0.41 TRYING [13]
% 0.22/0.41 Detected minimum model sizes of [13]
% 0.22/0.41 Detected maximum model sizes of [max]
% 0.22/0.42 % (31946)First to succeed.
% 0.22/0.43 % (31946)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-31943"
% 0.22/0.43 % (31946)Refutation found. Thanks to Tanya!
% 0.22/0.43 % SZS status Theorem for theBenchmark
% 0.22/0.43 % SZS output start Proof for theBenchmark
% See solution above
% 0.22/0.44 % (31946)------------------------------
% 0.22/0.44 % (31946)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.22/0.44 % (31946)Termination reason: Refutation
% 0.22/0.44
% 0.22/0.44 % (31946)Memory used [KB]: 1425
% 0.22/0.44 % (31946)Time elapsed: 0.047 s
% 0.22/0.44 % (31946)Instructions burned: 94 (million)
% 0.22/0.44 % (31943)Success in time 0.067 s
%------------------------------------------------------------------------------