TSTP Solution File: SWW967+1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SWW967+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 : n009.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 : Tue Apr 30 17:49:14 EDT 2024
% Result : Theorem 0.20s 0.39s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 77
% Syntax : Number of formulae : 340 ( 84 unt; 0 def)
% Number of atoms : 787 ( 32 equ)
% Maximal formula atoms : 9 ( 2 avg)
% Number of connectives : 805 ( 358 ~; 334 |; 36 &)
% ( 25 <=>; 52 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 5 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 29 ( 27 usr; 26 prp; 0-2 aty)
% Number of functors : 53 ( 53 usr; 14 con; 0-5 aty)
% Number of variables : 601 ( 601 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f904,plain,
$false,
inference(avatar_sat_refutation,[],[f624,f638,f661,f723,f724,f725,f726,f727,f728,f729,f730,f731,f732,f733,f734,f735,f736,f752,f763,f774,f778,f783,f788,f797,f808,f812,f830,f832,f849,f859,f892,f894,f896,f898,f900,f903]) ).
fof(f903,plain,
~ spl0_25,
inference(avatar_contradiction_clause,[],[f902]) ).
fof(f902,plain,
( $false
| ~ spl0_25 ),
inference(subsumption_resolution,[],[f901,f373]) ).
fof(f373,plain,
~ pred_attacker(name_objective),
inference(cnf_transformation,[],[f177]) ).
fof(f177,plain,
~ pred_attacker(name_objective),
inference(flattening,[],[f176]) ).
fof(f176,negated_conjecture,
~ pred_attacker(name_objective),
inference(negated_conjecture,[],[f175]) ).
fof(f175,conjecture,
pred_attacker(name_objective),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co0) ).
fof(f901,plain,
( pred_attacker(name_objective)
| ~ spl0_25 ),
inference(resolution,[],[f891,f483]) ).
fof(f483,plain,
! [X0] :
( ~ pred_attacker(tuple_client_A_out_9(X0))
| pred_attacker(X0) ),
inference(cnf_transformation,[],[f305]) ).
fof(f305,plain,
! [X0] :
( pred_attacker(X0)
| ~ pred_attacker(tuple_client_A_out_9(X0)) ),
inference(ennf_transformation,[],[f211]) ).
fof(f211,plain,
! [X0] :
( pred_attacker(tuple_client_A_out_9(X0))
=> pred_attacker(X0) ),
inference(rectify,[],[f110]) ).
fof(f110,axiom,
! [X97] :
( pred_attacker(tuple_client_A_out_9(X97))
=> pred_attacker(X97) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax109) ).
fof(f891,plain,
( pred_attacker(tuple_client_A_out_9(name_objective))
| ~ spl0_25 ),
inference(avatar_component_clause,[],[f889]) ).
fof(f889,plain,
( spl0_25
<=> pred_attacker(tuple_client_A_out_9(name_objective)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_25])]) ).
fof(f900,plain,
( spl0_5
| ~ spl0_24 ),
inference(avatar_split_clause,[],[f899,f886,f656]) ).
fof(f656,plain,
( spl0_5
<=> ! [X2] : ~ pred_attacker(X2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).
fof(f886,plain,
( spl0_24
<=> ! [X2] : ~ pred_attacker(tuple_client_A_in_2(X2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_24])]) ).
fof(f899,plain,
( ! [X0] : ~ pred_attacker(X0)
| ~ spl0_24 ),
inference(resolution,[],[f887,f477]) ).
fof(f477,plain,
! [X0] :
( pred_attacker(tuple_client_A_in_2(X0))
| ~ pred_attacker(X0) ),
inference(cnf_transformation,[],[f299]) ).
fof(f299,plain,
! [X0] :
( pred_attacker(tuple_client_A_in_2(X0))
| ~ pred_attacker(X0) ),
inference(ennf_transformation,[],[f205]) ).
fof(f205,plain,
! [X0] :
( pred_attacker(X0)
=> pred_attacker(tuple_client_A_in_2(X0)) ),
inference(rectify,[],[f127]) ).
fof(f127,axiom,
! [X122] :
( pred_attacker(X122)
=> pred_attacker(tuple_client_A_in_2(X122)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax126) ).
fof(f887,plain,
( ! [X2] : ~ pred_attacker(tuple_client_A_in_2(X2))
| ~ spl0_24 ),
inference(avatar_component_clause,[],[f886]) ).
fof(f898,plain,
( spl0_5
| ~ spl0_23 ),
inference(avatar_split_clause,[],[f897,f883,f656]) ).
fof(f883,plain,
( spl0_23
<=> ! [X3] : ~ pred_attacker(tuple_client_A_in_4(X3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_23])]) ).
fof(f897,plain,
( ! [X0] : ~ pred_attacker(X0)
| ~ spl0_23 ),
inference(resolution,[],[f884,f473]) ).
fof(f473,plain,
! [X0] :
( pred_attacker(tuple_client_A_in_4(X0))
| ~ pred_attacker(X0) ),
inference(cnf_transformation,[],[f295]) ).
fof(f295,plain,
! [X0] :
( pred_attacker(tuple_client_A_in_4(X0))
| ~ pred_attacker(X0) ),
inference(ennf_transformation,[],[f201]) ).
fof(f201,plain,
! [X0] :
( pred_attacker(X0)
=> pred_attacker(tuple_client_A_in_4(X0)) ),
inference(rectify,[],[f125]) ).
fof(f125,axiom,
! [X120] :
( pred_attacker(X120)
=> pred_attacker(tuple_client_A_in_4(X120)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax124) ).
fof(f884,plain,
( ! [X3] : ~ pred_attacker(tuple_client_A_in_4(X3))
| ~ spl0_23 ),
inference(avatar_component_clause,[],[f883]) ).
fof(f896,plain,
( spl0_5
| ~ spl0_22 ),
inference(avatar_split_clause,[],[f895,f880,f656]) ).
fof(f880,plain,
( spl0_22
<=> ! [X1] : ~ pred_attacker(tuple_client_A_in_6(X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_22])]) ).
fof(f895,plain,
( ! [X0] : ~ pred_attacker(X0)
| ~ spl0_22 ),
inference(resolution,[],[f881,f470]) ).
fof(f470,plain,
! [X0] :
( pred_attacker(tuple_client_A_in_6(X0))
| ~ pred_attacker(X0) ),
inference(cnf_transformation,[],[f292]) ).
fof(f292,plain,
! [X0] :
( pred_attacker(tuple_client_A_in_6(X0))
| ~ pred_attacker(X0) ),
inference(ennf_transformation,[],[f198]) ).
fof(f198,plain,
! [X0] :
( pred_attacker(X0)
=> pred_attacker(tuple_client_A_in_6(X0)) ),
inference(rectify,[],[f123]) ).
fof(f123,axiom,
! [X118] :
( pred_attacker(X118)
=> pred_attacker(tuple_client_A_in_6(X118)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax122) ).
fof(f881,plain,
( ! [X1] : ~ pred_attacker(tuple_client_A_in_6(X1))
| ~ spl0_22 ),
inference(avatar_component_clause,[],[f880]) ).
fof(f894,plain,
( spl0_5
| ~ spl0_21 ),
inference(avatar_split_clause,[],[f893,f877,f656]) ).
fof(f877,plain,
( spl0_21
<=> ! [X4] : ~ pred_attacker(tuple_client_A_in_8(X4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_21])]) ).
fof(f893,plain,
( ! [X0] : ~ pred_attacker(X0)
| ~ spl0_21 ),
inference(resolution,[],[f878,f466]) ).
fof(f466,plain,
! [X0] :
( pred_attacker(tuple_client_A_in_8(X0))
| ~ pred_attacker(X0) ),
inference(cnf_transformation,[],[f288]) ).
fof(f288,plain,
! [X0] :
( pred_attacker(tuple_client_A_in_8(X0))
| ~ pred_attacker(X0) ),
inference(ennf_transformation,[],[f194]) ).
fof(f194,plain,
! [X0] :
( pred_attacker(X0)
=> pred_attacker(tuple_client_A_in_8(X0)) ),
inference(rectify,[],[f121]) ).
fof(f121,axiom,
! [X116] :
( pred_attacker(X116)
=> pred_attacker(tuple_client_A_in_8(X116)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax120) ).
fof(f878,plain,
( ! [X4] : ~ pred_attacker(tuple_client_A_in_8(X4))
| ~ spl0_21 ),
inference(avatar_component_clause,[],[f877]) ).
fof(f892,plain,
( spl0_21
| spl0_22
| spl0_23
| spl0_24
| spl0_25 ),
inference(avatar_split_clause,[],[f875,f889,f886,f883,f880,f877]) ).
fof(f875,plain,
! [X2,X3,X1,X4] :
( pred_attacker(tuple_client_A_out_9(name_objective))
| ~ pred_attacker(tuple_client_A_in_2(X2))
| ~ pred_attacker(tuple_client_A_in_4(X3))
| ~ pred_attacker(tuple_client_A_in_6(X1))
| ~ pred_attacker(tuple_client_A_in_8(X4)) ),
inference(subsumption_resolution,[],[f874,f491]) ).
fof(f491,plain,
! [X0,X1] : pred_eq_bitstring_bitstring(X0,X1),
inference(cnf_transformation,[],[f219]) ).
fof(f219,plain,
! [X0,X1] : pred_eq_bitstring_bitstring(X0,X1),
inference(rectify,[],[f84]) ).
fof(f84,axiom,
! [X62,X63] : pred_eq_bitstring_bitstring(X62,X63),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax83) ).
fof(f874,plain,
! [X2,X3,X0,X1,X4] :
( pred_attacker(tuple_client_A_out_9(name_objective))
| ~ pred_attacker(tuple_client_A_in_2(X2))
| ~ pred_attacker(tuple_client_A_in_4(X3))
| ~ pred_attacker(tuple_client_A_in_6(X1))
| ~ pred_attacker(tuple_client_A_in_8(X4))
| ~ pred_eq_bitstring_bitstring(tuple_succ(name_Na0x27(X3,X2,X0)),constr_cbc_dec_1(X4,constr_tuple_2_get_0x30_bitstring(constr_cbc_dec_2(X1,name_Kas)))) ),
inference(subsumption_resolution,[],[f873,f491]) ).
fof(f873,plain,
! [X2,X3,X0,X1,X4] :
( pred_attacker(tuple_client_A_out_9(name_objective))
| ~ pred_attacker(tuple_client_A_in_2(X2))
| ~ pred_attacker(tuple_client_A_in_4(X3))
| ~ pred_attacker(tuple_client_A_in_6(X1))
| ~ pred_eq_bitstring_bitstring(name_A,constr_tuple_2_get_1(constr_cbc_dec_2(X1,name_Kas)))
| ~ pred_attacker(tuple_client_A_in_8(X4))
| ~ pred_eq_bitstring_bitstring(tuple_succ(name_Na0x27(X3,X2,X0)),constr_cbc_dec_1(X4,constr_tuple_2_get_0x30_bitstring(constr_cbc_dec_2(X1,name_Kas)))) ),
inference(subsumption_resolution,[],[f872,f491]) ).
fof(f872,plain,
! [X2,X3,X0,X1,X4] :
( pred_attacker(tuple_client_A_out_9(name_objective))
| ~ pred_attacker(tuple_client_A_in_2(X2))
| ~ pred_eq_bitstring_bitstring(name_B,constr_tuple_4_get_1(constr_cbc_dec_4(X2,name_Kas)))
| ~ pred_attacker(tuple_client_A_in_4(X3))
| ~ pred_attacker(tuple_client_A_in_6(X1))
| ~ pred_eq_bitstring_bitstring(name_A,constr_tuple_2_get_1(constr_cbc_dec_2(X1,name_Kas)))
| ~ pred_attacker(tuple_client_A_in_8(X4))
| ~ pred_eq_bitstring_bitstring(tuple_succ(name_Na0x27(X3,X2,X0)),constr_cbc_dec_1(X4,constr_tuple_2_get_0x30_bitstring(constr_cbc_dec_2(X1,name_Kas)))) ),
inference(subsumption_resolution,[],[f546,f491]) ).
fof(f546,plain,
! [X2,X3,X0,X1,X4] :
( pred_attacker(tuple_client_A_out_9(name_objective))
| ~ pred_attacker(tuple_client_A_in_2(X2))
| ~ pred_eq_bitstring_bitstring(name_Na(X0),constr_tuple_4_get_0x30(constr_cbc_dec_4(X2,name_Kas)))
| ~ pred_eq_bitstring_bitstring(name_B,constr_tuple_4_get_1(constr_cbc_dec_4(X2,name_Kas)))
| ~ pred_attacker(tuple_client_A_in_4(X3))
| ~ pred_attacker(tuple_client_A_in_6(X1))
| ~ pred_eq_bitstring_bitstring(name_A,constr_tuple_2_get_1(constr_cbc_dec_2(X1,name_Kas)))
| ~ pred_attacker(tuple_client_A_in_8(X4))
| ~ pred_eq_bitstring_bitstring(tuple_succ(name_Na0x27(X3,X2,X0)),constr_cbc_dec_1(X4,constr_tuple_2_get_0x30_bitstring(constr_cbc_dec_2(X1,name_Kas)))) ),
inference(cnf_transformation,[],[f372]) ).
fof(f372,plain,
! [X0,X1,X2,X3,X4] :
( pred_attacker(tuple_client_A_out_9(name_objective))
| ~ pred_attacker(tuple_client_A_in_2(X2))
| ~ pred_eq_bitstring_bitstring(name_Na(X0),constr_tuple_4_get_0x30(constr_cbc_dec_4(X2,name_Kas)))
| ~ pred_eq_bitstring_bitstring(name_B,constr_tuple_4_get_1(constr_cbc_dec_4(X2,name_Kas)))
| ~ pred_attacker(tuple_client_A_in_4(X3))
| ~ pred_attacker(tuple_client_A_in_6(X1))
| ~ pred_eq_bitstring_bitstring(name_A,constr_tuple_2_get_1(constr_cbc_dec_2(X1,name_Kas)))
| ~ pred_attacker(tuple_client_A_in_8(X4))
| ~ pred_eq_bitstring_bitstring(tuple_succ(name_Na0x27(X3,X2,X0)),constr_cbc_dec_1(X4,constr_tuple_2_get_0x30_bitstring(constr_cbc_dec_2(X1,name_Kas)))) ),
inference(flattening,[],[f371]) ).
fof(f371,plain,
! [X0,X1,X2,X3,X4] :
( pred_attacker(tuple_client_A_out_9(name_objective))
| ~ pred_attacker(tuple_client_A_in_2(X2))
| ~ pred_eq_bitstring_bitstring(name_Na(X0),constr_tuple_4_get_0x30(constr_cbc_dec_4(X2,name_Kas)))
| ~ pred_eq_bitstring_bitstring(name_B,constr_tuple_4_get_1(constr_cbc_dec_4(X2,name_Kas)))
| ~ pred_attacker(tuple_client_A_in_4(X3))
| ~ pred_attacker(tuple_client_A_in_6(X1))
| ~ pred_eq_bitstring_bitstring(name_A,constr_tuple_2_get_1(constr_cbc_dec_2(X1,name_Kas)))
| ~ pred_attacker(tuple_client_A_in_8(X4))
| ~ pred_eq_bitstring_bitstring(tuple_succ(name_Na0x27(X3,X2,X0)),constr_cbc_dec_1(X4,constr_tuple_2_get_0x30_bitstring(constr_cbc_dec_2(X1,name_Kas)))) ),
inference(ennf_transformation,[],[f273]) ).
fof(f273,plain,
! [X0,X1,X2,X3,X4] :
( ( pred_attacker(tuple_client_A_in_2(X2))
& pred_eq_bitstring_bitstring(name_Na(X0),constr_tuple_4_get_0x30(constr_cbc_dec_4(X2,name_Kas)))
& pred_eq_bitstring_bitstring(name_B,constr_tuple_4_get_1(constr_cbc_dec_4(X2,name_Kas)))
& pred_attacker(tuple_client_A_in_4(X3))
& pred_attacker(tuple_client_A_in_6(X1))
& pred_eq_bitstring_bitstring(name_A,constr_tuple_2_get_1(constr_cbc_dec_2(X1,name_Kas)))
& pred_attacker(tuple_client_A_in_8(X4))
& pred_eq_bitstring_bitstring(tuple_succ(name_Na0x27(X3,X2,X0)),constr_cbc_dec_1(X4,constr_tuple_2_get_0x30_bitstring(constr_cbc_dec_2(X1,name_Kas)))) )
=> pred_attacker(tuple_client_A_out_9(name_objective)) ),
inference(rectify,[],[f172]) ).
fof(f172,axiom,
! [X206,X207,X208,X209,X210] :
( ( pred_attacker(tuple_client_A_in_2(X208))
& pred_eq_bitstring_bitstring(name_Na(X206),constr_tuple_4_get_0x30(constr_cbc_dec_4(X208,name_Kas)))
& pred_eq_bitstring_bitstring(name_B,constr_tuple_4_get_1(constr_cbc_dec_4(X208,name_Kas)))
& pred_attacker(tuple_client_A_in_4(X209))
& pred_attacker(tuple_client_A_in_6(X207))
& pred_eq_bitstring_bitstring(name_A,constr_tuple_2_get_1(constr_cbc_dec_2(X207,name_Kas)))
& pred_attacker(tuple_client_A_in_8(X210))
& pred_eq_bitstring_bitstring(tuple_succ(name_Na0x27(X209,X208,X206)),constr_cbc_dec_1(X210,constr_tuple_2_get_0x30_bitstring(constr_cbc_dec_2(X207,name_Kas)))) )
=> pred_attacker(tuple_client_A_out_9(name_objective)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax171) ).
fof(f859,plain,
( spl0_17
| spl0_20 ),
inference(avatar_split_clause,[],[f855,f857,f825]) ).
fof(f825,plain,
( spl0_17
<=> ! [X4,X2,X3] : ~ pred_attacker(tuple_server_S_in_1(X2,X3,X4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_17])]) ).
fof(f857,plain,
( spl0_20
<=> ! [X0,X1] :
( ~ pred_attacker(tuple_client_A_in_4(X0))
| pred_attacker(tuple_client_A_out_5(constr_cbc_enc_1(tuple_succ(constr_cbc_dec_1(X0,name_Kab_66(X1))),name_Kab_66(X1)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_20])]) ).
fof(f855,plain,
! [X2,X3,X0,X1,X4] :
( ~ pred_attacker(tuple_client_A_in_4(X0))
| pred_attacker(tuple_client_A_out_5(constr_cbc_enc_1(tuple_succ(constr_cbc_dec_1(X0,name_Kab_66(X1))),name_Kab_66(X1))))
| ~ pred_attacker(tuple_server_S_in_1(X2,X3,X4)) ),
inference(resolution,[],[f853,f640]) ).
fof(f640,plain,
! [X2,X3,X0,X1] :
( pred_attacker(constr_cbc_enc_4(X2,X1,name_Kab_66(X3),constr_cbc_enc_2(name_Kab_66(X3),X0,name_Kbs),name_Kas))
| ~ pred_attacker(tuple_server_S_in_1(X0,X1,X2)) ),
inference(resolution,[],[f533,f481]) ).
fof(f481,plain,
! [X0] :
( ~ pred_attacker(tuple_server_S_out_2(X0))
| pred_attacker(X0) ),
inference(cnf_transformation,[],[f303]) ).
fof(f303,plain,
! [X0] :
( pred_attacker(X0)
| ~ pred_attacker(tuple_server_S_out_2(X0)) ),
inference(ennf_transformation,[],[f209]) ).
fof(f209,plain,
! [X0] :
( pred_attacker(tuple_server_S_out_2(X0))
=> pred_attacker(X0) ),
inference(rectify,[],[f95]) ).
fof(f95,axiom,
! [X73] :
( pred_attacker(tuple_server_S_out_2(X73))
=> pred_attacker(X73) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax94) ).
fof(f533,plain,
! [X2,X3,X0,X1] :
( pred_attacker(tuple_server_S_out_2(constr_cbc_enc_4(X3,X2,name_Kab_66(X0),constr_cbc_enc_2(name_Kab_66(X0),X1,name_Kbs),name_Kas)))
| ~ pred_attacker(tuple_server_S_in_1(X1,X2,X3)) ),
inference(cnf_transformation,[],[f358]) ).
fof(f358,plain,
! [X0,X1,X2,X3] :
( pred_attacker(tuple_server_S_out_2(constr_cbc_enc_4(X3,X2,name_Kab_66(X0),constr_cbc_enc_2(name_Kab_66(X0),X1,name_Kbs),name_Kas)))
| ~ pred_attacker(tuple_server_S_in_1(X1,X2,X3)) ),
inference(ennf_transformation,[],[f261]) ).
fof(f261,plain,
! [X0,X1,X2,X3] :
( pred_attacker(tuple_server_S_in_1(X1,X2,X3))
=> pred_attacker(tuple_server_S_out_2(constr_cbc_enc_4(X3,X2,name_Kab_66(X0),constr_cbc_enc_2(name_Kab_66(X0),X1,name_Kbs),name_Kas))) ),
inference(rectify,[],[f174]) ).
fof(f174,axiom,
! [X213,X214,X215,X216] :
( pred_attacker(tuple_server_S_in_1(X214,X215,X216))
=> pred_attacker(tuple_server_S_out_2(constr_cbc_enc_4(X216,X215,name_Kab_66(X213),constr_cbc_enc_2(name_Kab_66(X213),X214,name_Kbs),name_Kas))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax173) ).
fof(f853,plain,
! [X2,X3,X0,X1,X4] :
( ~ pred_attacker(constr_cbc_enc_4(X2,X3,X1,X4,name_Kas))
| ~ pred_attacker(tuple_client_A_in_4(X0))
| pred_attacker(tuple_client_A_out_5(constr_cbc_enc_1(tuple_succ(constr_cbc_dec_1(X0,X1)),X1))) ),
inference(resolution,[],[f792,f477]) ).
fof(f792,plain,
! [X2,X3,X0,X1,X4] :
( ~ pred_attacker(tuple_client_A_in_2(constr_cbc_enc_4(X0,X1,X2,X3,name_Kas)))
| pred_attacker(tuple_client_A_out_5(constr_cbc_enc_1(tuple_succ(constr_cbc_dec_1(X4,X2)),X2)))
| ~ pred_attacker(tuple_client_A_in_4(X4)) ),
inference(forward_demodulation,[],[f791,f527]) ).
fof(f527,plain,
! [X2,X3,X0,X1] : constr_tuple_4_get_2_bitstring(tuple_4(X0,X1,X2,X3)) = X2,
inference(cnf_transformation,[],[f255]) ).
fof(f255,plain,
! [X0,X1,X2,X3] : constr_tuple_4_get_2_bitstring(tuple_4(X0,X1,X2,X3)) = X2,
inference(rectify,[],[f79]) ).
fof(f79,axiom,
! [X46,X47,X48,X49] : constr_tuple_4_get_2_bitstring(tuple_4(X46,X47,X48,X49)) = X48,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax78) ).
fof(f791,plain,
! [X2,X3,X0,X1,X4] :
( pred_attacker(tuple_client_A_out_5(constr_cbc_enc_1(tuple_succ(constr_cbc_dec_1(X4,constr_tuple_4_get_2_bitstring(tuple_4(X0,X1,X2,X3)))),constr_tuple_4_get_2_bitstring(tuple_4(X0,X1,X2,X3)))))
| ~ pred_attacker(tuple_client_A_in_2(constr_cbc_enc_4(X0,X1,X2,X3,name_Kas)))
| ~ pred_attacker(tuple_client_A_in_4(X4)) ),
inference(superposition,[],[f757,f544]) ).
fof(f544,plain,
! [X2,X3,X0,X1,X4] : constr_cbc_dec_4(constr_cbc_enc_4(X1,X2,X3,X4,X0),X0) = tuple_4(X1,X2,X3,X4),
inference(cnf_transformation,[],[f67]) ).
fof(f67,axiom,
! [X0,X1,X2,X3,X4] : constr_cbc_dec_4(constr_cbc_enc_4(X1,X2,X3,X4,X0),X0) = tuple_4(X1,X2,X3,X4),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax66) ).
fof(f757,plain,
! [X2,X1] :
( pred_attacker(tuple_client_A_out_5(constr_cbc_enc_1(tuple_succ(constr_cbc_dec_1(X2,constr_tuple_4_get_2_bitstring(constr_cbc_dec_4(X1,name_Kas)))),constr_tuple_4_get_2_bitstring(constr_cbc_dec_4(X1,name_Kas)))))
| ~ pred_attacker(tuple_client_A_in_2(X1))
| ~ pred_attacker(tuple_client_A_in_4(X2)) ),
inference(subsumption_resolution,[],[f756,f491]) ).
fof(f756,plain,
! [X2,X1] :
( pred_attacker(tuple_client_A_out_5(constr_cbc_enc_1(tuple_succ(constr_cbc_dec_1(X2,constr_tuple_4_get_2_bitstring(constr_cbc_dec_4(X1,name_Kas)))),constr_tuple_4_get_2_bitstring(constr_cbc_dec_4(X1,name_Kas)))))
| ~ pred_attacker(tuple_client_A_in_2(X1))
| ~ pred_eq_bitstring_bitstring(name_B,constr_tuple_4_get_1(constr_cbc_dec_4(X1,name_Kas)))
| ~ pred_attacker(tuple_client_A_in_4(X2)) ),
inference(subsumption_resolution,[],[f525,f491]) ).
fof(f525,plain,
! [X2,X0,X1] :
( pred_attacker(tuple_client_A_out_5(constr_cbc_enc_1(tuple_succ(constr_cbc_dec_1(X2,constr_tuple_4_get_2_bitstring(constr_cbc_dec_4(X1,name_Kas)))),constr_tuple_4_get_2_bitstring(constr_cbc_dec_4(X1,name_Kas)))))
| ~ pred_attacker(tuple_client_A_in_2(X1))
| ~ pred_eq_bitstring_bitstring(name_Na(X0),constr_tuple_4_get_0x30(constr_cbc_dec_4(X1,name_Kas)))
| ~ pred_eq_bitstring_bitstring(name_B,constr_tuple_4_get_1(constr_cbc_dec_4(X1,name_Kas)))
| ~ pred_attacker(tuple_client_A_in_4(X2)) ),
inference(cnf_transformation,[],[f357]) ).
fof(f357,plain,
! [X0,X1,X2] :
( pred_attacker(tuple_client_A_out_5(constr_cbc_enc_1(tuple_succ(constr_cbc_dec_1(X2,constr_tuple_4_get_2_bitstring(constr_cbc_dec_4(X1,name_Kas)))),constr_tuple_4_get_2_bitstring(constr_cbc_dec_4(X1,name_Kas)))))
| ~ pred_attacker(tuple_client_A_in_2(X1))
| ~ pred_eq_bitstring_bitstring(name_Na(X0),constr_tuple_4_get_0x30(constr_cbc_dec_4(X1,name_Kas)))
| ~ pred_eq_bitstring_bitstring(name_B,constr_tuple_4_get_1(constr_cbc_dec_4(X1,name_Kas)))
| ~ pred_attacker(tuple_client_A_in_4(X2)) ),
inference(flattening,[],[f356]) ).
fof(f356,plain,
! [X0,X1,X2] :
( pred_attacker(tuple_client_A_out_5(constr_cbc_enc_1(tuple_succ(constr_cbc_dec_1(X2,constr_tuple_4_get_2_bitstring(constr_cbc_dec_4(X1,name_Kas)))),constr_tuple_4_get_2_bitstring(constr_cbc_dec_4(X1,name_Kas)))))
| ~ pred_attacker(tuple_client_A_in_2(X1))
| ~ pred_eq_bitstring_bitstring(name_Na(X0),constr_tuple_4_get_0x30(constr_cbc_dec_4(X1,name_Kas)))
| ~ pred_eq_bitstring_bitstring(name_B,constr_tuple_4_get_1(constr_cbc_dec_4(X1,name_Kas)))
| ~ pred_attacker(tuple_client_A_in_4(X2)) ),
inference(ennf_transformation,[],[f253]) ).
fof(f253,plain,
! [X0,X1,X2] :
( ( pred_attacker(tuple_client_A_in_2(X1))
& pred_eq_bitstring_bitstring(name_Na(X0),constr_tuple_4_get_0x30(constr_cbc_dec_4(X1,name_Kas)))
& pred_eq_bitstring_bitstring(name_B,constr_tuple_4_get_1(constr_cbc_dec_4(X1,name_Kas)))
& pred_attacker(tuple_client_A_in_4(X2)) )
=> pred_attacker(tuple_client_A_out_5(constr_cbc_enc_1(tuple_succ(constr_cbc_dec_1(X2,constr_tuple_4_get_2_bitstring(constr_cbc_dec_4(X1,name_Kas)))),constr_tuple_4_get_2_bitstring(constr_cbc_dec_4(X1,name_Kas))))) ),
inference(rectify,[],[f170]) ).
fof(f170,axiom,
! [X199,X200,X201] :
( ( pred_attacker(tuple_client_A_in_2(X200))
& pred_eq_bitstring_bitstring(name_Na(X199),constr_tuple_4_get_0x30(constr_cbc_dec_4(X200,name_Kas)))
& pred_eq_bitstring_bitstring(name_B,constr_tuple_4_get_1(constr_cbc_dec_4(X200,name_Kas)))
& pred_attacker(tuple_client_A_in_4(X201)) )
=> pred_attacker(tuple_client_A_out_5(constr_cbc_enc_1(tuple_succ(constr_cbc_dec_1(X201,constr_tuple_4_get_2_bitstring(constr_cbc_dec_4(X200,name_Kas)))),constr_tuple_4_get_2_bitstring(constr_cbc_dec_4(X200,name_Kas))))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax169) ).
fof(f849,plain,
( spl0_19
| spl0_9
| ~ spl0_11
| ~ spl0_18 ),
inference(avatar_split_clause,[],[f844,f828,f781,f772,f847]) ).
fof(f847,plain,
( spl0_19
<=> ! [X1] : pred_attacker(tuple_succ(name_Nb_63(X1))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_19])]) ).
fof(f772,plain,
( spl0_9
<=> ! [X1] : ~ pred_attacker(name_Kab_66(X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).
fof(f781,plain,
( spl0_11
<=> ! [X2,X1] : pred_attacker(constr_cbc_enc_1(name_Nb_63(X1),name_Kab_66(X2))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).
fof(f828,plain,
( spl0_18
<=> ! [X0,X1] :
( pred_attacker(constr_cbc_enc_1(tuple_succ(constr_cbc_dec_1(X0,name_Kab_66(X1))),name_Kab_66(X1)))
| ~ pred_attacker(tuple_client_A_in_4(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_18])]) ).
fof(f844,plain,
( ! [X0,X1] :
( ~ pred_attacker(name_Kab_66(X0))
| pred_attacker(tuple_succ(name_Nb_63(X1))) )
| ~ spl0_11
| ~ spl0_18 ),
inference(resolution,[],[f840,f782]) ).
fof(f782,plain,
( ! [X2,X1] : pred_attacker(constr_cbc_enc_1(name_Nb_63(X1),name_Kab_66(X2)))
| ~ spl0_11 ),
inference(avatar_component_clause,[],[f781]) ).
fof(f840,plain,
( ! [X0,X1] :
( ~ pred_attacker(constr_cbc_enc_1(X0,name_Kab_66(X1)))
| ~ pred_attacker(name_Kab_66(X1))
| pred_attacker(tuple_succ(X0)) )
| ~ spl0_18 ),
inference(resolution,[],[f839,f566]) ).
fof(f566,plain,
! [X0,X1] :
( ~ pred_attacker(constr_cbc_enc_1(X0,X1))
| ~ pred_attacker(X1)
| pred_attacker(X0) ),
inference(superposition,[],[f502,f495]) ).
fof(f495,plain,
! [X0,X1] : constr_cbc_dec_1(constr_cbc_enc_1(X1,X0),X0) = X1,
inference(cnf_transformation,[],[f223]) ).
fof(f223,plain,
! [X0,X1] : constr_cbc_dec_1(constr_cbc_enc_1(X1,X0),X0) = X1,
inference(rectify,[],[f70]) ).
fof(f70,axiom,
! [X12,X13] : constr_cbc_dec_1(constr_cbc_enc_1(X13,X12),X12) = X13,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax69) ).
fof(f502,plain,
! [X0,X1] :
( pred_attacker(constr_cbc_dec_1(X0,X1))
| ~ pred_attacker(X1)
| ~ pred_attacker(X0) ),
inference(cnf_transformation,[],[f324]) ).
fof(f324,plain,
! [X0,X1] :
( pred_attacker(constr_cbc_dec_1(X0,X1))
| ~ pred_attacker(X1)
| ~ pred_attacker(X0) ),
inference(flattening,[],[f323]) ).
fof(f323,plain,
! [X0,X1] :
( pred_attacker(constr_cbc_dec_1(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_cbc_dec_1(X0,X1)) ),
inference(rectify,[],[f136]) ).
fof(f136,axiom,
! [X144,X145] :
( ( pred_attacker(X145)
& pred_attacker(X144) )
=> pred_attacker(constr_cbc_dec_1(X144,X145)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax135) ).
fof(f839,plain,
( ! [X0,X1] :
( pred_attacker(constr_cbc_enc_1(tuple_succ(X0),name_Kab_66(X1)))
| ~ pred_attacker(constr_cbc_enc_1(X0,name_Kab_66(X1))) )
| ~ spl0_18 ),
inference(resolution,[],[f834,f473]) ).
fof(f834,plain,
( ! [X0,X1] :
( ~ pred_attacker(tuple_client_A_in_4(constr_cbc_enc_1(X0,name_Kab_66(X1))))
| pred_attacker(constr_cbc_enc_1(tuple_succ(X0),name_Kab_66(X1))) )
| ~ spl0_18 ),
inference(superposition,[],[f829,f495]) ).
fof(f829,plain,
( ! [X0,X1] :
( pred_attacker(constr_cbc_enc_1(tuple_succ(constr_cbc_dec_1(X0,name_Kab_66(X1))),name_Kab_66(X1)))
| ~ pred_attacker(tuple_client_A_in_4(X0)) )
| ~ spl0_18 ),
inference(avatar_component_clause,[],[f828]) ).
fof(f832,plain,
( spl0_5
| spl0_5
| spl0_5
| ~ spl0_17 ),
inference(avatar_split_clause,[],[f831,f825,f656,f656,f656]) ).
fof(f831,plain,
( ! [X2,X0,X1] :
( ~ pred_attacker(X0)
| ~ pred_attacker(X1)
| ~ pred_attacker(X2) )
| ~ spl0_17 ),
inference(resolution,[],[f826,f522]) ).
fof(f522,plain,
! [X2,X0,X1] :
( pred_attacker(tuple_server_S_in_1(X0,X1,X2))
| ~ pred_attacker(X2)
| ~ pred_attacker(X1)
| ~ pred_attacker(X0) ),
inference(cnf_transformation,[],[f351]) ).
fof(f351,plain,
! [X0,X1,X2] :
( pred_attacker(tuple_server_S_in_1(X0,X1,X2))
| ~ pred_attacker(X2)
| ~ pred_attacker(X1)
| ~ pred_attacker(X0) ),
inference(flattening,[],[f350]) ).
fof(f350,plain,
! [X0,X1,X2] :
( pred_attacker(tuple_server_S_in_1(X0,X1,X2))
| ~ pred_attacker(X2)
| ~ pred_attacker(X1)
| ~ pred_attacker(X0) ),
inference(ennf_transformation,[],[f250]) ).
fof(f250,plain,
! [X0,X1,X2] :
( ( pred_attacker(X2)
& pred_attacker(X1)
& pred_attacker(X0) )
=> pred_attacker(tuple_server_S_in_1(X0,X1,X2)) ),
inference(rectify,[],[f96]) ).
fof(f96,axiom,
! [X74,X75,X76] :
( ( pred_attacker(X76)
& pred_attacker(X75)
& pred_attacker(X74) )
=> pred_attacker(tuple_server_S_in_1(X74,X75,X76)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax95) ).
fof(f826,plain,
( ! [X2,X3,X4] : ~ pred_attacker(tuple_server_S_in_1(X2,X3,X4))
| ~ spl0_17 ),
inference(avatar_component_clause,[],[f825]) ).
fof(f830,plain,
( spl0_17
| spl0_18 ),
inference(avatar_split_clause,[],[f820,f828,f825]) ).
fof(f820,plain,
! [X2,X3,X0,X1,X4] :
( pred_attacker(constr_cbc_enc_1(tuple_succ(constr_cbc_dec_1(X0,name_Kab_66(X1))),name_Kab_66(X1)))
| ~ pred_attacker(tuple_client_A_in_4(X0))
| ~ pred_attacker(tuple_server_S_in_1(X2,X3,X4)) ),
inference(resolution,[],[f818,f640]) ).
fof(f818,plain,
! [X2,X3,X0,X1,X4] :
( ~ pred_attacker(constr_cbc_enc_4(X2,X3,X1,X4,name_Kas))
| pred_attacker(constr_cbc_enc_1(tuple_succ(constr_cbc_dec_1(X0,X1)),X1))
| ~ pred_attacker(tuple_client_A_in_4(X0)) ),
inference(resolution,[],[f817,f477]) ).
fof(f817,plain,
! [X2,X3,X0,X1,X4] :
( ~ pred_attacker(tuple_client_A_in_2(constr_cbc_enc_4(X0,X1,X2,X3,name_Kas)))
| ~ pred_attacker(tuple_client_A_in_4(X4))
| pred_attacker(constr_cbc_enc_1(tuple_succ(constr_cbc_dec_1(X4,X2)),X2)) ),
inference(forward_demodulation,[],[f816,f527]) ).
fof(f816,plain,
! [X2,X3,X0,X1,X4] :
( pred_attacker(constr_cbc_enc_1(tuple_succ(constr_cbc_dec_1(X4,constr_tuple_4_get_2_bitstring(tuple_4(X0,X1,X2,X3)))),constr_tuple_4_get_2_bitstring(tuple_4(X0,X1,X2,X3))))
| ~ pred_attacker(tuple_client_A_in_4(X4))
| ~ pred_attacker(tuple_client_A_in_2(constr_cbc_enc_4(X0,X1,X2,X3,name_Kas))) ),
inference(superposition,[],[f789,f544]) ).
fof(f789,plain,
! [X0,X1] :
( pred_attacker(constr_cbc_enc_1(tuple_succ(constr_cbc_dec_1(X1,constr_tuple_4_get_2_bitstring(constr_cbc_dec_4(X0,name_Kas)))),constr_tuple_4_get_2_bitstring(constr_cbc_dec_4(X0,name_Kas))))
| ~ pred_attacker(tuple_client_A_in_4(X1))
| ~ pred_attacker(tuple_client_A_in_2(X0)) ),
inference(resolution,[],[f757,f485]) ).
fof(f485,plain,
! [X0] :
( ~ pred_attacker(tuple_client_A_out_5(X0))
| pred_attacker(X0) ),
inference(cnf_transformation,[],[f307]) ).
fof(f307,plain,
! [X0] :
( pred_attacker(X0)
| ~ pred_attacker(tuple_client_A_out_5(X0)) ),
inference(ennf_transformation,[],[f213]) ).
fof(f213,plain,
! [X0] :
( pred_attacker(tuple_client_A_out_5(X0))
=> pred_attacker(X0) ),
inference(rectify,[],[f114]) ).
fof(f114,axiom,
! [X101] :
( pred_attacker(tuple_client_A_out_5(X101))
=> pred_attacker(X101) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax113) ).
fof(f812,plain,
( spl0_5
| spl0_5
| spl0_16 ),
inference(avatar_split_clause,[],[f759,f810,f656,f656]) ).
fof(f810,plain,
( spl0_16
<=> ! [X0,X1] :
( pred_attacker(tuple_client_A_out_3(constr_cbc_enc_2(name_Kab_66(X0),X1,name_Kbs)))
| ~ pred_attacker(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_16])]) ).
fof(f759,plain,
! [X2,X3,X0,X1] :
( pred_attacker(tuple_client_A_out_3(constr_cbc_enc_2(name_Kab_66(X0),X1,name_Kbs)))
| ~ pred_attacker(X2)
| ~ pred_attacker(X3)
| ~ pred_attacker(X1) ),
inference(resolution,[],[f748,f522]) ).
fof(f748,plain,
! [X2,X3,X0,X1] :
( ~ pred_attacker(tuple_server_S_in_1(X1,X2,X3))
| pred_attacker(tuple_client_A_out_3(constr_cbc_enc_2(name_Kab_66(X0),X1,name_Kbs))) ),
inference(resolution,[],[f746,f640]) ).
fof(f746,plain,
! [X2,X3,X0,X1] :
( ~ pred_attacker(constr_cbc_enc_4(X1,X2,X3,X0,name_Kas))
| pred_attacker(tuple_client_A_out_3(X0)) ),
inference(resolution,[],[f740,f477]) ).
fof(f740,plain,
! [X2,X3,X0,X1] :
( ~ pred_attacker(tuple_client_A_in_2(constr_cbc_enc_4(X0,X1,X2,X3,name_Kas)))
| pred_attacker(tuple_client_A_out_3(X3)) ),
inference(forward_demodulation,[],[f739,f526]) ).
fof(f526,plain,
! [X2,X3,X0,X1] : constr_tuple_4_get_3_bitstring(tuple_4(X0,X1,X2,X3)) = X3,
inference(cnf_transformation,[],[f254]) ).
fof(f254,plain,
! [X0,X1,X2,X3] : constr_tuple_4_get_3_bitstring(tuple_4(X0,X1,X2,X3)) = X3,
inference(rectify,[],[f78]) ).
fof(f78,axiom,
! [X42,X43,X44,X45] : constr_tuple_4_get_3_bitstring(tuple_4(X42,X43,X44,X45)) = X45,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax77) ).
fof(f739,plain,
! [X2,X3,X0,X1] :
( pred_attacker(tuple_client_A_out_3(constr_tuple_4_get_3_bitstring(tuple_4(X0,X1,X2,X3))))
| ~ pred_attacker(tuple_client_A_in_2(constr_cbc_enc_4(X0,X1,X2,X3,name_Kas))) ),
inference(superposition,[],[f663,f544]) ).
fof(f663,plain,
! [X1] :
( pred_attacker(tuple_client_A_out_3(constr_tuple_4_get_3_bitstring(constr_cbc_dec_4(X1,name_Kas))))
| ~ pred_attacker(tuple_client_A_in_2(X1)) ),
inference(subsumption_resolution,[],[f662,f491]) ).
fof(f662,plain,
! [X1] :
( pred_attacker(tuple_client_A_out_3(constr_tuple_4_get_3_bitstring(constr_cbc_dec_4(X1,name_Kas))))
| ~ pred_attacker(tuple_client_A_in_2(X1))
| ~ pred_eq_bitstring_bitstring(name_B,constr_tuple_4_get_1(constr_cbc_dec_4(X1,name_Kas))) ),
inference(subsumption_resolution,[],[f509,f491]) ).
fof(f509,plain,
! [X0,X1] :
( pred_attacker(tuple_client_A_out_3(constr_tuple_4_get_3_bitstring(constr_cbc_dec_4(X1,name_Kas))))
| ~ pred_attacker(tuple_client_A_in_2(X1))
| ~ pred_eq_bitstring_bitstring(name_Na(X0),constr_tuple_4_get_0x30(constr_cbc_dec_4(X1,name_Kas)))
| ~ pred_eq_bitstring_bitstring(name_B,constr_tuple_4_get_1(constr_cbc_dec_4(X1,name_Kas))) ),
inference(cnf_transformation,[],[f338]) ).
fof(f338,plain,
! [X0,X1] :
( pred_attacker(tuple_client_A_out_3(constr_tuple_4_get_3_bitstring(constr_cbc_dec_4(X1,name_Kas))))
| ~ pred_attacker(tuple_client_A_in_2(X1))
| ~ pred_eq_bitstring_bitstring(name_Na(X0),constr_tuple_4_get_0x30(constr_cbc_dec_4(X1,name_Kas)))
| ~ pred_eq_bitstring_bitstring(name_B,constr_tuple_4_get_1(constr_cbc_dec_4(X1,name_Kas))) ),
inference(flattening,[],[f337]) ).
fof(f337,plain,
! [X0,X1] :
( pred_attacker(tuple_client_A_out_3(constr_tuple_4_get_3_bitstring(constr_cbc_dec_4(X1,name_Kas))))
| ~ pred_attacker(tuple_client_A_in_2(X1))
| ~ pred_eq_bitstring_bitstring(name_Na(X0),constr_tuple_4_get_0x30(constr_cbc_dec_4(X1,name_Kas)))
| ~ pred_eq_bitstring_bitstring(name_B,constr_tuple_4_get_1(constr_cbc_dec_4(X1,name_Kas))) ),
inference(ennf_transformation,[],[f237]) ).
fof(f237,plain,
! [X0,X1] :
( ( pred_attacker(tuple_client_A_in_2(X1))
& pred_eq_bitstring_bitstring(name_Na(X0),constr_tuple_4_get_0x30(constr_cbc_dec_4(X1,name_Kas)))
& pred_eq_bitstring_bitstring(name_B,constr_tuple_4_get_1(constr_cbc_dec_4(X1,name_Kas))) )
=> pred_attacker(tuple_client_A_out_3(constr_tuple_4_get_3_bitstring(constr_cbc_dec_4(X1,name_Kas)))) ),
inference(rectify,[],[f169]) ).
fof(f169,axiom,
! [X197,X198] :
( ( pred_attacker(tuple_client_A_in_2(X198))
& pred_eq_bitstring_bitstring(name_Na(X197),constr_tuple_4_get_0x30(constr_cbc_dec_4(X198,name_Kas)))
& pred_eq_bitstring_bitstring(name_B,constr_tuple_4_get_1(constr_cbc_dec_4(X198,name_Kas))) )
=> pred_attacker(tuple_client_A_out_3(constr_tuple_4_get_3_bitstring(constr_cbc_dec_4(X198,name_Kas)))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax168) ).
fof(f808,plain,
( ~ spl0_14
| spl0_15
| ~ spl0_13 ),
inference(avatar_split_clause,[],[f798,f795,f806,f802]) ).
fof(f802,plain,
( spl0_14
<=> pred_attacker(name_Kas) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).
fof(f806,plain,
( spl0_15
<=> ! [X2,X0,X1] :
( ~ pred_attacker(X0)
| ~ pred_attacker(X1)
| pred_attacker(tuple_3(X1,X0,name_Kab_66(X2))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_15])]) ).
fof(f795,plain,
( spl0_13
<=> ! [X2,X0,X1] :
( pred_attacker(constr_cbc_enc_3(X0,X1,name_Kab_66(X2),name_Kas))
| ~ pred_attacker(X1)
| ~ pred_attacker(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).
fof(f798,plain,
( ! [X2,X0,X1] :
( ~ pred_attacker(X0)
| ~ pred_attacker(X1)
| ~ pred_attacker(name_Kas)
| pred_attacker(tuple_3(X1,X0,name_Kab_66(X2))) )
| ~ spl0_13 ),
inference(resolution,[],[f796,f594]) ).
fof(f594,plain,
! [X2,X3,X0,X1] :
( ~ pred_attacker(constr_cbc_enc_3(X0,X1,X2,X3))
| ~ pred_attacker(X3)
| pred_attacker(tuple_3(X0,X1,X2)) ),
inference(superposition,[],[f501,f532]) ).
fof(f532,plain,
! [X2,X3,X0,X1] : constr_cbc_dec_3(constr_cbc_enc_3(X1,X2,X3,X0),X0) = tuple_3(X1,X2,X3),
inference(cnf_transformation,[],[f260]) ).
fof(f260,plain,
! [X0,X1,X2,X3] : constr_cbc_dec_3(constr_cbc_enc_3(X1,X2,X3,X0),X0) = tuple_3(X1,X2,X3),
inference(rectify,[],[f68]) ).
fof(f68,axiom,
! [X5,X6,X7,X8] : constr_cbc_dec_3(constr_cbc_enc_3(X6,X7,X8,X5),X5) = tuple_3(X6,X7,X8),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax67) ).
fof(f501,plain,
! [X0,X1] :
( pred_attacker(constr_cbc_dec_3(X0,X1))
| ~ pred_attacker(X1)
| ~ pred_attacker(X0) ),
inference(cnf_transformation,[],[f322]) ).
fof(f322,plain,
! [X0,X1] :
( pred_attacker(constr_cbc_dec_3(X0,X1))
| ~ pred_attacker(X1)
| ~ pred_attacker(X0) ),
inference(flattening,[],[f321]) ).
fof(f321,plain,
! [X0,X1] :
( pred_attacker(constr_cbc_dec_3(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(constr_cbc_dec_3(X0,X1)) ),
inference(rectify,[],[f134]) ).
fof(f134,axiom,
! [X140,X141] :
( ( pred_attacker(X141)
& pred_attacker(X140) )
=> pred_attacker(constr_cbc_dec_3(X140,X141)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax133) ).
fof(f796,plain,
( ! [X2,X0,X1] :
( pred_attacker(constr_cbc_enc_3(X0,X1,name_Kab_66(X2),name_Kas))
| ~ pred_attacker(X1)
| ~ pred_attacker(X0) )
| ~ spl0_13 ),
inference(avatar_component_clause,[],[f795]) ).
fof(f797,plain,
( spl0_5
| spl0_13 ),
inference(avatar_split_clause,[],[f758,f795,f656]) ).
fof(f758,plain,
! [X2,X3,X0,X1] :
( pred_attacker(constr_cbc_enc_3(X0,X1,name_Kab_66(X2),name_Kas))
| ~ pred_attacker(X0)
| ~ pred_attacker(X1)
| ~ pred_attacker(X3) ),
inference(resolution,[],[f650,f522]) ).
fof(f650,plain,
! [X2,X3,X0,X1] :
( ~ pred_attacker(tuple_server_S_in_1(X0,X1,X2))
| pred_attacker(constr_cbc_enc_3(X2,X1,name_Kab_66(X3),name_Kas)) ),
inference(resolution,[],[f640,f596]) ).
fof(f596,plain,
! [X2,X3,X0,X1,X4] :
( ~ pred_attacker(constr_cbc_enc_4(X0,X1,X2,X3,X4))
| pred_attacker(constr_cbc_enc_3(X0,X1,X2,X4)) ),
inference(superposition,[],[f459,f543]) ).
fof(f543,plain,
! [X2,X3,X0,X1,X4] : constr_cbc_enc_3(X1,X2,X3,X0) = constr_cbc_4_get_3_prefixes(constr_cbc_enc_4(X1,X2,X3,X4,X0)),
inference(cnf_transformation,[],[f271]) ).
fof(f271,plain,
! [X0,X1,X2,X3,X4] : constr_cbc_enc_3(X1,X2,X3,X0) = constr_cbc_4_get_3_prefixes(constr_cbc_enc_4(X1,X2,X3,X4,X0)),
inference(rectify,[],[f71]) ).
fof(f71,axiom,
! [X14,X15,X16,X17,X18] : constr_cbc_4_get_3_prefixes(constr_cbc_enc_4(X15,X16,X17,X18,X14)) = constr_cbc_enc_3(X15,X16,X17,X14),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax70) ).
fof(f459,plain,
! [X0] :
( pred_attacker(constr_cbc_4_get_3_prefixes(X0))
| ~ pred_attacker(X0) ),
inference(cnf_transformation,[],[f281]) ).
fof(f281,plain,
! [X0] :
( pred_attacker(constr_cbc_4_get_3_prefixes(X0))
| ~ pred_attacker(X0) ),
inference(ennf_transformation,[],[f187]) ).
fof(f187,plain,
! [X0] :
( pred_attacker(X0)
=> pred_attacker(constr_cbc_4_get_3_prefixes(X0)) ),
inference(rectify,[],[f137]) ).
fof(f137,axiom,
! [X146] :
( pred_attacker(X146)
=> pred_attacker(constr_cbc_4_get_3_prefixes(X146)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax136) ).
fof(f788,plain,
( spl0_12
| spl0_5
| ~ spl0_8 ),
inference(avatar_split_clause,[],[f764,f761,f656,f786]) ).
fof(f786,plain,
( spl0_12
<=> ! [X2,X1] : pred_attacker(tuple_client_B_out_2(constr_cbc_enc_1(name_Nb_63(X1),name_Kab_66(X2)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).
fof(f761,plain,
( spl0_8
<=> ! [X0,X1] :
( pred_attacker(constr_cbc_enc_2(name_Kab_66(X0),X1,name_Kbs))
| ~ pred_attacker(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).
fof(f764,plain,
( ! [X2,X0,X1] :
( ~ pred_attacker(X0)
| pred_attacker(tuple_client_B_out_2(constr_cbc_enc_1(name_Nb_63(X1),name_Kab_66(X2)))) )
| ~ spl0_8 ),
inference(resolution,[],[f762,f647]) ).
fof(f647,plain,
! [X2,X0,X1] :
( ~ pred_attacker(constr_cbc_enc_2(X1,X2,name_Kbs))
| pred_attacker(tuple_client_B_out_2(constr_cbc_enc_1(name_Nb_63(X0),X1))) ),
inference(resolution,[],[f614,f462]) ).
fof(f462,plain,
! [X0] :
( pred_attacker(tuple_client_B_in_1(X0))
| ~ pred_attacker(X0) ),
inference(cnf_transformation,[],[f284]) ).
fof(f284,plain,
! [X0] :
( pred_attacker(tuple_client_B_in_1(X0))
| ~ pred_attacker(X0) ),
inference(ennf_transformation,[],[f190]) ).
fof(f190,plain,
! [X0] :
( pred_attacker(X0)
=> pred_attacker(tuple_client_B_in_1(X0)) ),
inference(rectify,[],[f107]) ).
fof(f107,axiom,
! [X94] :
( pred_attacker(X94)
=> pred_attacker(tuple_client_B_in_1(X94)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax106) ).
fof(f614,plain,
! [X2,X0,X1] :
( ~ pred_attacker(tuple_client_B_in_1(constr_cbc_enc_2(X0,X1,name_Kbs)))
| pred_attacker(tuple_client_B_out_2(constr_cbc_enc_1(name_Nb_63(X2),X0))) ),
inference(forward_demodulation,[],[f613,f493]) ).
fof(f493,plain,
! [X0,X1] : constr_tuple_2_get_0x30_bitstring(tuple_2(X0,X1)) = X0,
inference(cnf_transformation,[],[f221]) ).
fof(f221,plain,
! [X0,X1] : constr_tuple_2_get_0x30_bitstring(tuple_2(X0,X1)) = X0,
inference(rectify,[],[f80]) ).
fof(f80,axiom,
! [X50,X51] : constr_tuple_2_get_0x30_bitstring(tuple_2(X50,X51)) = X50,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax79) ).
fof(f613,plain,
! [X2,X0,X1] :
( pred_attacker(tuple_client_B_out_2(constr_cbc_enc_1(name_Nb_63(X2),constr_tuple_2_get_0x30_bitstring(tuple_2(X0,X1)))))
| ~ pred_attacker(tuple_client_B_in_1(constr_cbc_enc_2(X0,X1,name_Kbs))) ),
inference(superposition,[],[f611,f511]) ).
fof(f511,plain,
! [X2,X0,X1] : constr_cbc_dec_2(constr_cbc_enc_2(X1,X2,X0),X0) = tuple_2(X1,X2),
inference(cnf_transformation,[],[f239]) ).
fof(f239,plain,
! [X0,X1,X2] : constr_cbc_dec_2(constr_cbc_enc_2(X1,X2,X0),X0) = tuple_2(X1,X2),
inference(rectify,[],[f69]) ).
fof(f69,axiom,
! [X9,X10,X11] : constr_cbc_dec_2(constr_cbc_enc_2(X10,X11,X9),X9) = tuple_2(X10,X11),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax68) ).
fof(f611,plain,
! [X0,X1] :
( pred_attacker(tuple_client_B_out_2(constr_cbc_enc_1(name_Nb_63(X0),constr_tuple_2_get_0x30_bitstring(constr_cbc_dec_2(X1,name_Kbs)))))
| ~ pred_attacker(tuple_client_B_in_1(X1)) ),
inference(subsumption_resolution,[],[f508,f491]) ).
fof(f508,plain,
! [X0,X1] :
( pred_attacker(tuple_client_B_out_2(constr_cbc_enc_1(name_Nb_63(X0),constr_tuple_2_get_0x30_bitstring(constr_cbc_dec_2(X1,name_Kbs)))))
| ~ pred_attacker(tuple_client_B_in_1(X1))
| ~ pred_eq_bitstring_bitstring(name_A,constr_tuple_2_get_1(constr_cbc_dec_2(X1,name_Kbs))) ),
inference(cnf_transformation,[],[f336]) ).
fof(f336,plain,
! [X0,X1] :
( pred_attacker(tuple_client_B_out_2(constr_cbc_enc_1(name_Nb_63(X0),constr_tuple_2_get_0x30_bitstring(constr_cbc_dec_2(X1,name_Kbs)))))
| ~ pred_attacker(tuple_client_B_in_1(X1))
| ~ pred_eq_bitstring_bitstring(name_A,constr_tuple_2_get_1(constr_cbc_dec_2(X1,name_Kbs))) ),
inference(flattening,[],[f335]) ).
fof(f335,plain,
! [X0,X1] :
( pred_attacker(tuple_client_B_out_2(constr_cbc_enc_1(name_Nb_63(X0),constr_tuple_2_get_0x30_bitstring(constr_cbc_dec_2(X1,name_Kbs)))))
| ~ pred_attacker(tuple_client_B_in_1(X1))
| ~ pred_eq_bitstring_bitstring(name_A,constr_tuple_2_get_1(constr_cbc_dec_2(X1,name_Kbs))) ),
inference(ennf_transformation,[],[f236]) ).
fof(f236,plain,
! [X0,X1] :
( ( pred_attacker(tuple_client_B_in_1(X1))
& pred_eq_bitstring_bitstring(name_A,constr_tuple_2_get_1(constr_cbc_dec_2(X1,name_Kbs))) )
=> pred_attacker(tuple_client_B_out_2(constr_cbc_enc_1(name_Nb_63(X0),constr_tuple_2_get_0x30_bitstring(constr_cbc_dec_2(X1,name_Kbs))))) ),
inference(rectify,[],[f173]) ).
fof(f173,axiom,
! [X211,X212] :
( ( pred_attacker(tuple_client_B_in_1(X212))
& pred_eq_bitstring_bitstring(name_A,constr_tuple_2_get_1(constr_cbc_dec_2(X212,name_Kbs))) )
=> pred_attacker(tuple_client_B_out_2(constr_cbc_enc_1(name_Nb_63(X211),constr_tuple_2_get_0x30_bitstring(constr_cbc_dec_2(X212,name_Kbs))))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax172) ).
fof(f762,plain,
( ! [X0,X1] :
( pred_attacker(constr_cbc_enc_2(name_Kab_66(X0),X1,name_Kbs))
| ~ pred_attacker(X1) )
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f761]) ).
fof(f783,plain,
( spl0_11
| spl0_5
| ~ spl0_8 ),
inference(avatar_split_clause,[],[f765,f761,f656,f781]) ).
fof(f765,plain,
( ! [X2,X0,X1] :
( ~ pred_attacker(X0)
| pred_attacker(constr_cbc_enc_1(name_Nb_63(X1),name_Kab_66(X2))) )
| ~ spl0_8 ),
inference(resolution,[],[f762,f645]) ).
fof(f645,plain,
! [X2,X0,X1] :
( ~ pred_attacker(constr_cbc_enc_2(X1,X2,name_Kbs))
| pred_attacker(constr_cbc_enc_1(name_Nb_63(X0),X1)) ),
inference(resolution,[],[f617,f462]) ).
fof(f617,plain,
! [X2,X0,X1] :
( ~ pred_attacker(tuple_client_B_in_1(constr_cbc_enc_2(X0,X1,name_Kbs)))
| pred_attacker(constr_cbc_enc_1(name_Nb_63(X2),X0)) ),
inference(forward_demodulation,[],[f616,f493]) ).
fof(f616,plain,
! [X2,X0,X1] :
( pred_attacker(constr_cbc_enc_1(name_Nb_63(X2),constr_tuple_2_get_0x30_bitstring(tuple_2(X0,X1))))
| ~ pred_attacker(tuple_client_B_in_1(constr_cbc_enc_2(X0,X1,name_Kbs))) ),
inference(superposition,[],[f612,f511]) ).
fof(f612,plain,
! [X0,X1] :
( pred_attacker(constr_cbc_enc_1(name_Nb_63(X1),constr_tuple_2_get_0x30_bitstring(constr_cbc_dec_2(X0,name_Kbs))))
| ~ pred_attacker(tuple_client_B_in_1(X0)) ),
inference(resolution,[],[f611,f479]) ).
fof(f479,plain,
! [X0] :
( ~ pred_attacker(tuple_client_B_out_2(X0))
| pred_attacker(X0) ),
inference(cnf_transformation,[],[f301]) ).
fof(f301,plain,
! [X0] :
( pred_attacker(X0)
| ~ pred_attacker(tuple_client_B_out_2(X0)) ),
inference(ennf_transformation,[],[f207]) ).
fof(f207,plain,
! [X0] :
( pred_attacker(tuple_client_B_out_2(X0))
=> pred_attacker(X0) ),
inference(rectify,[],[f104]) ).
fof(f104,axiom,
! [X91] :
( pred_attacker(tuple_client_B_out_2(X91))
=> pred_attacker(X91) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax103) ).
fof(f778,plain,
( spl0_10
| spl0_5
| ~ spl0_8 ),
inference(avatar_split_clause,[],[f769,f761,f656,f776]) ).
fof(f776,plain,
( spl0_10
<=> ! [X1] : pred_attacker(constr_cbc_enc_1(name_Kab_66(X1),name_Kbs)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).
fof(f769,plain,
( ! [X0,X1] :
( ~ pred_attacker(X0)
| pred_attacker(constr_cbc_enc_1(name_Kab_66(X1),name_Kbs)) )
| ~ spl0_8 ),
inference(resolution,[],[f762,f577]) ).
fof(f577,plain,
! [X2,X0,X1] :
( ~ pred_attacker(constr_cbc_enc_2(X0,X1,X2))
| pred_attacker(constr_cbc_enc_1(X0,X2)) ),
inference(superposition,[],[f453,f510]) ).
fof(f510,plain,
! [X2,X0,X1] : constr_cbc_enc_1(X1,X0) = constr_cbc_2_get_1_prefixes(constr_cbc_enc_2(X1,X2,X0)),
inference(cnf_transformation,[],[f238]) ).
fof(f238,plain,
! [X0,X1,X2] : constr_cbc_enc_1(X1,X0) = constr_cbc_2_get_1_prefixes(constr_cbc_enc_2(X1,X2,X0)),
inference(rectify,[],[f76]) ).
fof(f76,axiom,
! [X37,X38,X39] : constr_cbc_2_get_1_prefixes(constr_cbc_enc_2(X38,X39,X37)) = constr_cbc_enc_1(X38,X37),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax75) ).
fof(f453,plain,
! [X0] :
( pred_attacker(constr_cbc_2_get_1_prefixes(X0))
| ~ pred_attacker(X0) ),
inference(cnf_transformation,[],[f275]) ).
fof(f275,plain,
! [X0] :
( pred_attacker(constr_cbc_2_get_1_prefixes(X0))
| ~ pred_attacker(X0) ),
inference(ennf_transformation,[],[f181]) ).
fof(f181,plain,
! [X0] :
( pred_attacker(X0)
=> pred_attacker(constr_cbc_2_get_1_prefixes(X0)) ),
inference(rectify,[],[f142]) ).
fof(f142,axiom,
! [X151] :
( pred_attacker(X151)
=> pred_attacker(constr_cbc_2_get_1_prefixes(X151)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax141) ).
fof(f774,plain,
( spl0_9
| spl0_5
| ~ spl0_2
| ~ spl0_8 ),
inference(avatar_split_clause,[],[f767,f761,f622,f656,f772]) ).
fof(f622,plain,
( spl0_2
<=> ! [X0] :
( ~ pred_attacker(tuple_client_B_in_1(X0))
| ~ pred_attacker(constr_tuple_2_get_0x30_bitstring(constr_cbc_dec_2(X0,name_Kbs))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
fof(f767,plain,
( ! [X0,X1] :
( ~ pred_attacker(X0)
| ~ pred_attacker(name_Kab_66(X1)) )
| ~ spl0_2
| ~ spl0_8 ),
inference(resolution,[],[f762,f639]) ).
fof(f639,plain,
( ! [X0,X1] :
( ~ pred_attacker(constr_cbc_enc_2(X0,X1,name_Kbs))
| ~ pred_attacker(X0) )
| ~ spl0_2 ),
inference(resolution,[],[f627,f462]) ).
fof(f627,plain,
( ! [X0,X1] :
( ~ pred_attacker(tuple_client_B_in_1(constr_cbc_enc_2(X0,X1,name_Kbs)))
| ~ pred_attacker(X0) )
| ~ spl0_2 ),
inference(forward_demodulation,[],[f626,f493]) ).
fof(f626,plain,
( ! [X0,X1] :
( ~ pred_attacker(constr_tuple_2_get_0x30_bitstring(tuple_2(X0,X1)))
| ~ pred_attacker(tuple_client_B_in_1(constr_cbc_enc_2(X0,X1,name_Kbs))) )
| ~ spl0_2 ),
inference(superposition,[],[f623,f511]) ).
fof(f623,plain,
( ! [X0] :
( ~ pred_attacker(constr_tuple_2_get_0x30_bitstring(constr_cbc_dec_2(X0,name_Kbs)))
| ~ pred_attacker(tuple_client_B_in_1(X0)) )
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f622]) ).
fof(f763,plain,
( spl0_5
| spl0_5
| spl0_8 ),
inference(avatar_split_clause,[],[f755,f761,f656,f656]) ).
fof(f755,plain,
! [X2,X3,X0,X1] :
( pred_attacker(constr_cbc_enc_2(name_Kab_66(X0),X1,name_Kbs))
| ~ pred_attacker(X2)
| ~ pred_attacker(X3)
| ~ pred_attacker(X1) ),
inference(resolution,[],[f745,f522]) ).
fof(f745,plain,
! [X2,X3,X0,X1] :
( ~ pred_attacker(tuple_server_S_in_1(X1,X2,X3))
| pred_attacker(constr_cbc_enc_2(name_Kab_66(X0),X1,name_Kbs)) ),
inference(resolution,[],[f743,f640]) ).
fof(f743,plain,
! [X2,X3,X0,X1] :
( ~ pred_attacker(constr_cbc_enc_4(X1,X2,X3,X0,name_Kas))
| pred_attacker(X0) ),
inference(resolution,[],[f742,f477]) ).
fof(f742,plain,
! [X2,X3,X0,X1] :
( ~ pred_attacker(tuple_client_A_in_2(constr_cbc_enc_4(X0,X1,X2,X3,name_Kas)))
| pred_attacker(X3) ),
inference(forward_demodulation,[],[f741,f526]) ).
fof(f741,plain,
! [X2,X3,X0,X1] :
( pred_attacker(constr_tuple_4_get_3_bitstring(tuple_4(X0,X1,X2,X3)))
| ~ pred_attacker(tuple_client_A_in_2(constr_cbc_enc_4(X0,X1,X2,X3,name_Kas))) ),
inference(superposition,[],[f738,f544]) ).
fof(f738,plain,
! [X0] :
( pred_attacker(constr_tuple_4_get_3_bitstring(constr_cbc_dec_4(X0,name_Kas)))
| ~ pred_attacker(tuple_client_A_in_2(X0)) ),
inference(resolution,[],[f663,f486]) ).
fof(f486,plain,
! [X0] :
( ~ pred_attacker(tuple_client_A_out_3(X0))
| pred_attacker(X0) ),
inference(cnf_transformation,[],[f308]) ).
fof(f308,plain,
! [X0] :
( pred_attacker(X0)
| ~ pred_attacker(tuple_client_A_out_3(X0)) ),
inference(ennf_transformation,[],[f214]) ).
fof(f214,plain,
! [X0] :
( pred_attacker(tuple_client_A_out_3(X0))
=> pred_attacker(X0) ),
inference(rectify,[],[f116]) ).
fof(f116,axiom,
! [X103] :
( pred_attacker(tuple_client_A_out_3(X103))
=> pred_attacker(X103) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax115) ).
fof(f752,plain,
( spl0_5
| spl0_7 ),
inference(avatar_split_clause,[],[f654,f750,f656]) ).
fof(f750,plain,
( spl0_7
<=> ! [X0,X1] :
( pred_attacker(constr_cbc_enc_2(X0,X1,name_Kas))
| ~ pred_attacker(X1)
| ~ pred_attacker(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).
fof(f654,plain,
! [X2,X0,X1] :
( pred_attacker(constr_cbc_enc_2(X0,X1,name_Kas))
| ~ pred_attacker(X0)
| ~ pred_attacker(X1)
| ~ pred_attacker(X2) ),
inference(resolution,[],[f651,f522]) ).
fof(f651,plain,
! [X2,X0,X1] :
( ~ pred_attacker(tuple_server_S_in_1(X0,X1,X2))
| pred_attacker(constr_cbc_enc_2(X2,X1,name_Kas)) ),
inference(resolution,[],[f640,f595]) ).
fof(f595,plain,
! [X2,X3,X0,X1,X4] :
( ~ pred_attacker(constr_cbc_enc_4(X0,X1,X2,X3,X4))
| pred_attacker(constr_cbc_enc_2(X0,X1,X4)) ),
inference(superposition,[],[f456,f542]) ).
fof(f542,plain,
! [X2,X3,X0,X1,X4] : constr_cbc_enc_2(X1,X2,X0) = constr_cbc_4_get_2_prefixes(constr_cbc_enc_4(X1,X2,X3,X4,X0)),
inference(cnf_transformation,[],[f270]) ).
fof(f270,plain,
! [X0,X1,X2,X3,X4] : constr_cbc_enc_2(X1,X2,X0) = constr_cbc_4_get_2_prefixes(constr_cbc_enc_4(X1,X2,X3,X4,X0)),
inference(rectify,[],[f72]) ).
fof(f72,axiom,
! [X19,X20,X21,X22,X23] : constr_cbc_4_get_2_prefixes(constr_cbc_enc_4(X20,X21,X22,X23,X19)) = constr_cbc_enc_2(X20,X21,X19),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax71) ).
fof(f456,plain,
! [X0] :
( pred_attacker(constr_cbc_4_get_2_prefixes(X0))
| ~ pred_attacker(X0) ),
inference(cnf_transformation,[],[f278]) ).
fof(f278,plain,
! [X0] :
( pred_attacker(constr_cbc_4_get_2_prefixes(X0))
| ~ pred_attacker(X0) ),
inference(ennf_transformation,[],[f184]) ).
fof(f184,plain,
! [X0] :
( pred_attacker(X0)
=> pred_attacker(constr_cbc_4_get_2_prefixes(X0)) ),
inference(rectify,[],[f138]) ).
fof(f138,axiom,
! [X147] :
( pred_attacker(X147)
=> pred_attacker(constr_cbc_4_get_2_prefixes(X147)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax137) ).
fof(f736,plain,
~ spl0_5,
inference(avatar_contradiction_clause,[],[f665]) ).
fof(f665,plain,
( $false
| ~ spl0_5 ),
inference(resolution,[],[f657,f376]) ).
fof(f376,plain,
pred_attacker(constr_CONST_0x30),
inference(cnf_transformation,[],[f147]) ).
fof(f147,axiom,
pred_attacker(constr_CONST_0x30),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax146) ).
fof(f657,plain,
( ! [X2] : ~ pred_attacker(X2)
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f656]) ).
fof(f735,plain,
~ spl0_5,
inference(avatar_contradiction_clause,[],[f666]) ).
fof(f666,plain,
( $false
| ~ spl0_5 ),
inference(resolution,[],[f657,f382]) ).
fof(f382,plain,
pred_attacker(constr_CONST_1),
inference(cnf_transformation,[],[f146]) ).
fof(f146,axiom,
pred_attacker(constr_CONST_1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax145) ).
fof(f734,plain,
~ spl0_5,
inference(avatar_contradiction_clause,[],[f667]) ).
fof(f667,plain,
( $false
| ~ spl0_5 ),
inference(resolution,[],[f657,f379]) ).
fof(f379,plain,
pred_attacker(constr_CONST_2),
inference(cnf_transformation,[],[f145]) ).
fof(f145,axiom,
pred_attacker(constr_CONST_2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax144) ).
fof(f733,plain,
~ spl0_5,
inference(avatar_contradiction_clause,[],[f668]) ).
fof(f668,plain,
( $false
| ~ spl0_5 ),
inference(resolution,[],[f657,f380]) ).
fof(f380,plain,
pred_attacker(constr_CONST_3),
inference(cnf_transformation,[],[f144]) ).
fof(f144,axiom,
pred_attacker(constr_CONST_3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax143) ).
fof(f732,plain,
~ spl0_5,
inference(avatar_contradiction_clause,[],[f669]) ).
fof(f669,plain,
( $false
| ~ spl0_5 ),
inference(resolution,[],[f657,f378]) ).
fof(f378,plain,
pred_attacker(constr_CONST_4),
inference(cnf_transformation,[],[f143]) ).
fof(f143,axiom,
pred_attacker(constr_CONST_4),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax142) ).
fof(f731,plain,
~ spl0_5,
inference(avatar_contradiction_clause,[],[f670]) ).
fof(f670,plain,
( $false
| ~ spl0_5 ),
inference(resolution,[],[f657,f383]) ).
fof(f383,plain,
pred_attacker(name_A),
inference(cnf_transformation,[],[f165]) ).
fof(f165,axiom,
pred_attacker(name_A),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax164) ).
fof(f730,plain,
~ spl0_5,
inference(avatar_contradiction_clause,[],[f671]) ).
fof(f671,plain,
( $false
| ~ spl0_5 ),
inference(resolution,[],[f657,f384]) ).
fof(f384,plain,
pred_attacker(name_B),
inference(cnf_transformation,[],[f164]) ).
fof(f164,axiom,
pred_attacker(name_B),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax163) ).
fof(f729,plain,
~ spl0_5,
inference(avatar_contradiction_clause,[],[f672]) ).
fof(f672,plain,
( $false
| ~ spl0_5 ),
inference(resolution,[],[f657,f381]) ).
fof(f381,plain,
pred_attacker(name_I),
inference(cnf_transformation,[],[f163]) ).
fof(f163,axiom,
pred_attacker(name_I),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax162) ).
fof(f728,plain,
~ spl0_5,
inference(avatar_contradiction_clause,[],[f673]) ).
fof(f673,plain,
( $false
| ~ spl0_5 ),
inference(resolution,[],[f657,f377]) ).
fof(f377,plain,
pred_attacker(name_c),
inference(cnf_transformation,[],[f162]) ).
fof(f162,axiom,
pred_attacker(name_c),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax161) ).
fof(f727,plain,
~ spl0_5,
inference(avatar_contradiction_clause,[],[f701]) ).
fof(f701,plain,
( $false
| ~ spl0_5 ),
inference(resolution,[],[f657,f374]) ).
fof(f374,plain,
pred_attacker(tuple_true),
inference(cnf_transformation,[],[f91]) ).
fof(f91,axiom,
pred_attacker(tuple_true),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax90) ).
fof(f726,plain,
~ spl0_5,
inference(avatar_contradiction_clause,[],[f706]) ).
fof(f706,plain,
( $false
| ~ spl0_5 ),
inference(resolution,[],[f657,f375]) ).
fof(f375,plain,
pred_attacker(tuple_false),
inference(cnf_transformation,[],[f100]) ).
fof(f100,axiom,
pred_attacker(tuple_false),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax99) ).
fof(f725,plain,
~ spl0_5,
inference(avatar_contradiction_clause,[],[f715]) ).
fof(f715,plain,
( $false
| ~ spl0_5 ),
inference(resolution,[],[f657,f452]) ).
fof(f452,plain,
! [X0] : pred_attacker(tuple_client_A_out_1(name_A,name_B,name_Na(X0))),
inference(cnf_transformation,[],[f180]) ).
fof(f180,plain,
! [X0] : pred_attacker(tuple_client_A_out_1(name_A,name_B,name_Na(X0))),
inference(rectify,[],[f168]) ).
fof(f168,axiom,
! [X196] : pred_attacker(tuple_client_A_out_1(name_A,name_B,name_Na(X196))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax167) ).
fof(f724,plain,
~ spl0_5,
inference(avatar_contradiction_clause,[],[f721]) ).
fof(f721,plain,
( $false
| ~ spl0_5 ),
inference(resolution,[],[f657,f451]) ).
fof(f451,plain,
! [X0] : pred_attacker(name_new0x2Dname(X0)),
inference(cnf_transformation,[],[f178]) ).
fof(f178,plain,
! [X0] : pred_attacker(name_new0x2Dname(X0)),
inference(rectify,[],[f167]) ).
fof(f167,axiom,
! [X195] : pred_attacker(name_new0x2Dname(X195)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax166) ).
fof(f723,plain,
~ spl0_5,
inference(avatar_contradiction_clause,[],[f722]) ).
fof(f722,plain,
( $false
| ~ spl0_5 ),
inference(resolution,[],[f657,f562]) ).
fof(f562,plain,
! [X0] : pred_attacker(name_Na(X0)),
inference(resolution,[],[f516,f452]) ).
fof(f516,plain,
! [X2,X0,X1] :
( ~ pred_attacker(tuple_client_A_out_1(X0,X1,X2))
| pred_attacker(X2) ),
inference(cnf_transformation,[],[f343]) ).
fof(f343,plain,
! [X0,X1,X2] :
( pred_attacker(X2)
| ~ pred_attacker(tuple_client_A_out_1(X0,X1,X2)) ),
inference(ennf_transformation,[],[f244]) ).
fof(f244,plain,
! [X0,X1,X2] :
( pred_attacker(tuple_client_A_out_1(X0,X1,X2))
=> pred_attacker(X2) ),
inference(rectify,[],[f120]) ).
fof(f120,axiom,
! [X113,X114,X115] :
( pred_attacker(tuple_client_A_out_1(X113,X114,X115))
=> pred_attacker(X115) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax119) ).
fof(f661,plain,
( spl0_5
| spl0_5
| spl0_6 ),
inference(avatar_split_clause,[],[f653,f659,f656,f656]) ).
fof(f659,plain,
( spl0_6
<=> ! [X0] :
( pred_attacker(constr_cbc_enc_1(X0,name_Kas))
| ~ pred_attacker(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).
fof(f653,plain,
! [X2,X0,X1] :
( pred_attacker(constr_cbc_enc_1(X0,name_Kas))
| ~ pred_attacker(X0)
| ~ pred_attacker(X1)
| ~ pred_attacker(X2) ),
inference(resolution,[],[f652,f522]) ).
fof(f652,plain,
! [X2,X0,X1] :
( ~ pred_attacker(tuple_server_S_in_1(X0,X1,X2))
| pred_attacker(constr_cbc_enc_1(X2,name_Kas)) ),
inference(resolution,[],[f640,f591]) ).
fof(f591,plain,
! [X2,X3,X0,X1,X4] :
( ~ pred_attacker(constr_cbc_enc_4(X0,X1,X2,X3,X4))
| pred_attacker(constr_cbc_enc_1(X0,X4)) ),
inference(superposition,[],[f457,f541]) ).
fof(f541,plain,
! [X2,X3,X0,X1,X4] : constr_cbc_enc_1(X1,X0) = constr_cbc_4_get_1_prefixes(constr_cbc_enc_4(X1,X2,X3,X4,X0)),
inference(cnf_transformation,[],[f269]) ).
fof(f269,plain,
! [X0,X1,X2,X3,X4] : constr_cbc_enc_1(X1,X0) = constr_cbc_4_get_1_prefixes(constr_cbc_enc_4(X1,X2,X3,X4,X0)),
inference(rectify,[],[f73]) ).
fof(f73,axiom,
! [X24,X25,X26,X27,X28] : constr_cbc_4_get_1_prefixes(constr_cbc_enc_4(X25,X26,X27,X28,X24)) = constr_cbc_enc_1(X25,X24),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax72) ).
fof(f457,plain,
! [X0] :
( pred_attacker(constr_cbc_4_get_1_prefixes(X0))
| ~ pred_attacker(X0) ),
inference(cnf_transformation,[],[f279]) ).
fof(f279,plain,
! [X0] :
( pred_attacker(constr_cbc_4_get_1_prefixes(X0))
| ~ pred_attacker(X0) ),
inference(ennf_transformation,[],[f185]) ).
fof(f185,plain,
! [X0] :
( pred_attacker(X0)
=> pred_attacker(constr_cbc_4_get_1_prefixes(X0)) ),
inference(rectify,[],[f139]) ).
fof(f139,axiom,
! [X148] :
( pred_attacker(X148)
=> pred_attacker(constr_cbc_4_get_1_prefixes(X148)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax138) ).
fof(f638,plain,
( ~ spl0_3
| spl0_4
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f630,f622,f636,f632]) ).
fof(f632,plain,
( spl0_3
<=> pred_attacker(name_Kbs) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).
fof(f636,plain,
( spl0_4
<=> ! [X0] : ~ pred_attacker(tuple_client_B_in_1(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).
fof(f630,plain,
( ! [X0] :
( ~ pred_attacker(tuple_client_B_in_1(X0))
| ~ pred_attacker(name_Kbs) )
| ~ spl0_2 ),
inference(subsumption_resolution,[],[f628,f480]) ).
fof(f480,plain,
! [X0] :
( ~ pred_attacker(tuple_client_B_in_1(X0))
| pred_attacker(X0) ),
inference(cnf_transformation,[],[f302]) ).
fof(f302,plain,
! [X0] :
( pred_attacker(X0)
| ~ pred_attacker(tuple_client_B_in_1(X0)) ),
inference(ennf_transformation,[],[f208]) ).
fof(f208,plain,
! [X0] :
( pred_attacker(tuple_client_B_in_1(X0))
=> pred_attacker(X0) ),
inference(rectify,[],[f108]) ).
fof(f108,axiom,
! [X95] :
( pred_attacker(tuple_client_B_in_1(X95))
=> pred_attacker(X95) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax107) ).
fof(f628,plain,
( ! [X0] :
( ~ pred_attacker(tuple_client_B_in_1(X0))
| ~ pred_attacker(name_Kbs)
| ~ pred_attacker(X0) )
| ~ spl0_2 ),
inference(resolution,[],[f625,f505]) ).
fof(f505,plain,
! [X0,X1] :
( pred_attacker(constr_cbc_dec_2(X0,X1))
| ~ pred_attacker(X1)
| ~ pred_attacker(X0) ),
inference(cnf_transformation,[],[f330]) ).
fof(f330,plain,
! [X0,X1] :
( pred_attacker(constr_cbc_dec_2(X0,X1))
| ~ pred_attacker(X1)
| ~ pred_attacker(X0) ),
inference(flattening,[],[f329]) ).
fof(f329,plain,
! [X0,X1] :
( pred_attacker(constr_cbc_dec_2(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_cbc_dec_2(X0,X1)) ),
inference(rectify,[],[f135]) ).
fof(f135,axiom,
! [X142,X143] :
( ( pred_attacker(X143)
& pred_attacker(X142) )
=> pred_attacker(constr_cbc_dec_2(X142,X143)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax134) ).
fof(f625,plain,
( ! [X0] :
( ~ pred_attacker(constr_cbc_dec_2(X0,name_Kbs))
| ~ pred_attacker(tuple_client_B_in_1(X0)) )
| ~ spl0_2 ),
inference(resolution,[],[f623,f474]) ).
fof(f474,plain,
! [X0] :
( pred_attacker(constr_tuple_2_get_0x30_bitstring(X0))
| ~ pred_attacker(X0) ),
inference(cnf_transformation,[],[f296]) ).
fof(f296,plain,
! [X0] :
( pred_attacker(constr_tuple_2_get_0x30_bitstring(X0))
| ~ pred_attacker(X0) ),
inference(ennf_transformation,[],[f202]) ).
fof(f202,plain,
! [X0] :
( pred_attacker(X0)
=> pred_attacker(constr_tuple_2_get_0x30_bitstring(X0)) ),
inference(rectify,[],[f90]) ).
fof(f90,axiom,
! [X69] :
( pred_attacker(X69)
=> pred_attacker(constr_tuple_2_get_0x30_bitstring(X69)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax89) ).
fof(f624,plain,
( spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f615,f622,f619]) ).
fof(f619,plain,
( spl0_1
<=> ! [X1] : pred_attacker(name_Nb_63(X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f615,plain,
! [X0,X1] :
( ~ pred_attacker(tuple_client_B_in_1(X0))
| ~ pred_attacker(constr_tuple_2_get_0x30_bitstring(constr_cbc_dec_2(X0,name_Kbs)))
| pred_attacker(name_Nb_63(X1)) ),
inference(resolution,[],[f612,f566]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : SWW967+1 : TPTP v8.1.2. Released v7.4.0.
% 0.06/0.13 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.34 % Computer : n009.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Tue Apr 30 03:01:11 EDT 2024
% 0.14/0.34 % CPUTime :
% 0.14/0.34 % (6554)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.36 % (6558)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.14/0.36 Detected minimum model sizes of [12]
% 0.14/0.36 Detected maximum model sizes of [max]
% 0.14/0.36 % (6557)WARNING: value z3 for option sas not known
% 0.14/0.36 % (6557)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)
% 0.14/0.36 % (6555)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.14/0.36 % (6556)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.14/0.36 % (6559)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)
% 0.14/0.36 % (6561)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)
% 0.14/0.36 % (6560)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)
% 0.14/0.38 % (6557)First to succeed.
% 0.20/0.39 % (6557)Refutation found. Thanks to Tanya!
% 0.20/0.39 % SZS status Theorem for theBenchmark
% 0.20/0.39 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.39 % (6557)------------------------------
% 0.20/0.39 % (6557)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.20/0.39 % (6557)Termination reason: Refutation
% 0.20/0.39
% 0.20/0.39 % (6557)Memory used [KB]: 1229
% 0.20/0.39 % (6557)Time elapsed: 0.028 s
% 0.20/0.39 % (6557)Instructions burned: 43 (million)
% 0.20/0.39 % (6557)------------------------------
% 0.20/0.39 % (6557)------------------------------
% 0.20/0.39 % (6554)Success in time 0.048 s
%------------------------------------------------------------------------------