%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SWW968+1 : TPTP v9.3.1. Released v7.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n026.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 01:45:16 PM UTC 2026
% Result : Theorem 0.31s 0.43s
% Output : Refutation 0.31s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 29
% Syntax : Number of formulae : 135 ( 31 unt; 8 def)
% Number of atoms : 397 ( 8 equ)
% Maximal formula atoms : 9 ( 2 avg)
% Number of connectives : 508 ( 246 ~; 222 |; 18 &)
% ( 8 <=>; 14 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 5 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 12 ( 10 usr; 9 prp; 0-2 aty)
% Number of functors : 32 ( 32 usr; 7 con; 0-5 aty)
% Number of variables : 225 ( 0 sgn 225 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f81,axiom,
! [X0,X1,X2] : constr_cbc_dec_2(constr_cbc_enc_2(X1,X2,X0),X0) = tuple_2(X1,X2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax80) ).
fof(f84,axiom,
! [X0,X1,X2,X3,X4] : constr_cbc_4_get_2_prefixes(constr_cbc_enc_4(X1,X2,X3,X4,X0)) = constr_cbc_enc_2(X1,X2,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax83) ).
fof(f89,axiom,
! [X0,X1] : constr_dec(constr_enc(X1,X0),X0) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax88) ).
fof(f92,axiom,
! [X0,X1] : constr_tuple_2_get_0x30_bitstring(tuple_2(X0,X1)) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax91) ).
fof(f96,axiom,
! [X0,X1] : pred_eq_bitstring_bitstring(X0,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax95) ).
fof(f107,axiom,
! [X0] :
( pred_attacker(tuple_server_S_out_2(X0))
=> pred_attacker(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax106) ).
fof(f108,axiom,
! [X0,X1,X2] :
( ( pred_attacker(X0)
& pred_attacker(X1)
& pred_attacker(X2) )
=> pred_attacker(tuple_server_S_in_1(X0,X1,X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax107) ).
fof(f114,axiom,
! [X0,X1] :
( ( pred_attacker(X0)
& pred_attacker(X1) )
=> pred_attacker(constr_dec(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax113) ).
fof(f122,axiom,
! [X0] :
( pred_attacker(tuple_client_A_out_9(X0))
=> pred_attacker(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax121) ).
fof(f130,axiom,
! [X0] :
( pred_attacker(tuple_client_A_out_10(X0))
=> pred_attacker(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax129) ).
fof(f135,axiom,
! [X0] :
( pred_attacker(X0)
=> pred_attacker(tuple_client_A_in_8(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax134) ).
fof(f137,axiom,
! [X0] :
( pred_attacker(X0)
=> pred_attacker(tuple_client_A_in_6(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax136) ).
fof(f139,axiom,
! [X0] :
( pred_attacker(X0)
=> pred_attacker(tuple_client_A_in_4(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax138) ).
fof(f141,axiom,
! [X0] :
( pred_attacker(X0)
=> pred_attacker(tuple_client_A_in_2(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax140) ).
fof(f152,axiom,
! [X0] :
( pred_attacker(X0)
=> pred_attacker(constr_cbc_4_get_2_prefixes(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax151) ).
fof(f161,axiom,
pred_attacker(constr_CONST_0x30),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax160) ).
fof(f171,axiom,
! [X0,X1] :
( ( pred_attacker(X0)
& pred_attacker(X1) )
=> pred_attacker(tuple_2(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax170) ).
fof(f186,axiom,
! [X0,X1,X2,X3,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_in_8(X4))
& pred_eq_bitstring_bitstring(name_A,constr_tuple_2_get_1(constr_cbc_dec_2(X1,name_Kas)))
& pred_attacker(tuple_client_A_in_6(X1))
& pred_attacker(tuple_client_A_in_4(X3))
& pred_eq_bitstring_bitstring(name_B,constr_tuple_4_get_1(constr_cbc_dec_4(X2,name_Kas)))
& pred_eq_bitstring_bitstring(name_Na(X0),constr_tuple_4_get_0x30(constr_cbc_dec_4(X2,name_Kas)))
& pred_attacker(tuple_client_A_in_2(X2)) )
=> pred_attacker(tuple_client_A_out_9(name_objective1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax185) ).
fof(f187,axiom,
! [X0,X1,X2,X3,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_in_8(X4))
& pred_eq_bitstring_bitstring(name_A,constr_tuple_2_get_1(constr_cbc_dec_2(X1,name_Kas)))
& pred_attacker(tuple_client_A_in_6(X1))
& pred_attacker(tuple_client_A_in_4(X3))
& pred_eq_bitstring_bitstring(name_B,constr_tuple_4_get_1(constr_cbc_dec_4(X2,name_Kas)))
& pred_eq_bitstring_bitstring(name_Na(X0),constr_tuple_4_get_0x30(constr_cbc_dec_4(X2,name_Kas)))
& pred_attacker(tuple_client_A_in_2(X2)) )
=> pred_attacker(tuple_client_A_out_10(constr_enc(name_objective2,constr_tuple_2_get_0x30_bitstring(constr_cbc_dec_2(X1,name_Kas))))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax186) ).
fof(f189,axiom,
! [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))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax188) ).
fof(f190,conjecture,
pred_attacker(tuple_2(name_objective1,name_objective2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co0) ).
fof(f191,negated_conjecture,
~ pred_attacker(tuple_2(name_objective1,name_objective2)),
inference(negated_conjecture,[status(cth)],[f190]) ).
fof(f192,plain,
~ pred_attacker(tuple_2(name_objective1,name_objective2)),
inference(flattening,[],[f191]) ).
fof(f203,plain,
! [X0] :
( pred_attacker(X0)
| ~ pred_attacker(tuple_server_S_out_2(X0)) ),
inference(ennf_transformation,[],[f107]) ).
fof(f204,plain,
! [X0,X1,X2] :
( pred_attacker(tuple_server_S_in_1(X0,X1,X2))
| ~ pred_attacker(X0)
| ~ pred_attacker(X1)
| ~ pred_attacker(X2) ),
inference(ennf_transformation,[],[f108]) ).
fof(f205,plain,
! [X0,X1,X2] :
( pred_attacker(tuple_server_S_in_1(X0,X1,X2))
| ~ pred_attacker(X0)
| ~ pred_attacker(X1)
| ~ pred_attacker(X2) ),
inference(flattening,[],[f204]) ).
fof(f211,plain,
! [X0,X1] :
( pred_attacker(constr_dec(X0,X1))
| ~ pred_attacker(X0)
| ~ pred_attacker(X1) ),
inference(ennf_transformation,[],[f114]) ).
fof(f212,plain,
! [X0,X1] :
( pred_attacker(constr_dec(X0,X1))
| ~ pred_attacker(X0)
| ~ pred_attacker(X1) ),
inference(flattening,[],[f211]) ).
fof(f220,plain,
! [X0] :
( pred_attacker(X0)
| ~ pred_attacker(tuple_client_A_out_9(X0)) ),
inference(ennf_transformation,[],[f122]) ).
fof(f228,plain,
! [X0] :
( pred_attacker(X0)
| ~ pred_attacker(tuple_client_A_out_10(X0)) ),
inference(ennf_transformation,[],[f130]) ).
fof(f234,plain,
! [X0] :
( pred_attacker(tuple_client_A_in_8(X0))
| ~ pred_attacker(X0) ),
inference(ennf_transformation,[],[f135]) ).
fof(f236,plain,
! [X0] :
( pred_attacker(tuple_client_A_in_6(X0))
| ~ pred_attacker(X0) ),
inference(ennf_transformation,[],[f137]) ).
fof(f238,plain,
! [X0] :
( pred_attacker(tuple_client_A_in_4(X0))
| ~ pred_attacker(X0) ),
inference(ennf_transformation,[],[f139]) ).
fof(f240,plain,
! [X0] :
( pred_attacker(tuple_client_A_in_2(X0))
| ~ pred_attacker(X0) ),
inference(ennf_transformation,[],[f141]) ).
fof(f259,plain,
! [X0] :
( pred_attacker(constr_cbc_4_get_2_prefixes(X0))
| ~ pred_attacker(X0) ),
inference(ennf_transformation,[],[f152]) ).
fof(f275,plain,
! [X0,X1] :
( pred_attacker(tuple_2(X0,X1))
| ~ pred_attacker(X0)
| ~ pred_attacker(X1) ),
inference(ennf_transformation,[],[f171]) ).
fof(f276,plain,
! [X0,X1] :
( pred_attacker(tuple_2(X0,X1))
| ~ pred_attacker(X0)
| ~ pred_attacker(X1) ),
inference(flattening,[],[f275]) ).
fof(f289,plain,
! [X0,X1,X2,X3,X4] :
( pred_attacker(tuple_client_A_out_9(name_objective1))
| ~ 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_in_8(X4))
| ~ pred_eq_bitstring_bitstring(name_A,constr_tuple_2_get_1(constr_cbc_dec_2(X1,name_Kas)))
| ~ pred_attacker(tuple_client_A_in_6(X1))
| ~ pred_attacker(tuple_client_A_in_4(X3))
| ~ pred_eq_bitstring_bitstring(name_B,constr_tuple_4_get_1(constr_cbc_dec_4(X2,name_Kas)))
| ~ pred_eq_bitstring_bitstring(name_Na(X0),constr_tuple_4_get_0x30(constr_cbc_dec_4(X2,name_Kas)))
| ~ pred_attacker(tuple_client_A_in_2(X2)) ),
inference(ennf_transformation,[],[f186]) ).
fof(f290,plain,
! [X0,X1,X2,X3,X4] :
( pred_attacker(tuple_client_A_out_9(name_objective1))
| ~ 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_in_8(X4))
| ~ pred_eq_bitstring_bitstring(name_A,constr_tuple_2_get_1(constr_cbc_dec_2(X1,name_Kas)))
| ~ pred_attacker(tuple_client_A_in_6(X1))
| ~ pred_attacker(tuple_client_A_in_4(X3))
| ~ pred_eq_bitstring_bitstring(name_B,constr_tuple_4_get_1(constr_cbc_dec_4(X2,name_Kas)))
| ~ pred_eq_bitstring_bitstring(name_Na(X0),constr_tuple_4_get_0x30(constr_cbc_dec_4(X2,name_Kas)))
| ~ pred_attacker(tuple_client_A_in_2(X2)) ),
inference(flattening,[],[f289]) ).
fof(f291,plain,
! [X0,X1,X2,X3,X4] :
( pred_attacker(tuple_client_A_out_10(constr_enc(name_objective2,constr_tuple_2_get_0x30_bitstring(constr_cbc_dec_2(X1,name_Kas)))))
| ~ 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_in_8(X4))
| ~ pred_eq_bitstring_bitstring(name_A,constr_tuple_2_get_1(constr_cbc_dec_2(X1,name_Kas)))
| ~ pred_attacker(tuple_client_A_in_6(X1))
| ~ pred_attacker(tuple_client_A_in_4(X3))
| ~ pred_eq_bitstring_bitstring(name_B,constr_tuple_4_get_1(constr_cbc_dec_4(X2,name_Kas)))
| ~ pred_eq_bitstring_bitstring(name_Na(X0),constr_tuple_4_get_0x30(constr_cbc_dec_4(X2,name_Kas)))
| ~ pred_attacker(tuple_client_A_in_2(X2)) ),
inference(ennf_transformation,[],[f187]) ).
fof(f292,plain,
! [X0,X1,X2,X3,X4] :
( pred_attacker(tuple_client_A_out_10(constr_enc(name_objective2,constr_tuple_2_get_0x30_bitstring(constr_cbc_dec_2(X1,name_Kas)))))
| ~ 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_in_8(X4))
| ~ pred_eq_bitstring_bitstring(name_A,constr_tuple_2_get_1(constr_cbc_dec_2(X1,name_Kas)))
| ~ pred_attacker(tuple_client_A_in_6(X1))
| ~ pred_attacker(tuple_client_A_in_4(X3))
| ~ pred_eq_bitstring_bitstring(name_B,constr_tuple_4_get_1(constr_cbc_dec_4(X2,name_Kas)))
| ~ pred_eq_bitstring_bitstring(name_Na(X0),constr_tuple_4_get_0x30(constr_cbc_dec_4(X2,name_Kas)))
| ~ pred_attacker(tuple_client_A_in_2(X2)) ),
inference(flattening,[],[f291]) ).
fof(f295,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,[],[f189]) ).
fof(f376,plain,
! [X2,X0,X1] : constr_cbc_dec_2(constr_cbc_enc_2(X1,X2,X0),X0) = tuple_2(X1,X2),
inference(cnf_transformation,[],[f81]) ).
fof(f379,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,[],[f84]) ).
fof(f384,plain,
! [X0,X1] : constr_dec(constr_enc(X1,X0),X0) = X1,
inference(cnf_transformation,[],[f89]) ).
fof(f387,plain,
! [X0,X1] : constr_tuple_2_get_0x30_bitstring(tuple_2(X0,X1)) = X0,
inference(cnf_transformation,[],[f92]) ).
fof(f391,plain,
! [X0,X1] : pred_eq_bitstring_bitstring(X0,X1),
inference(cnf_transformation,[],[f96]) ).
fof(f402,plain,
! [X0] :
( ~ pred_attacker(tuple_server_S_out_2(X0))
| pred_attacker(X0) ),
inference(cnf_transformation,[],[f203]) ).
fof(f403,plain,
! [X2,X0,X1] :
( pred_attacker(tuple_server_S_in_1(X0,X1,X2))
| ~ pred_attacker(X1)
| ~ pred_attacker(X0)
| ~ pred_attacker(X2) ),
inference(cnf_transformation,[],[f205]) ).
fof(f409,plain,
! [X0,X1] :
( pred_attacker(constr_dec(X0,X1))
| ~ pred_attacker(X0)
| ~ pred_attacker(X1) ),
inference(cnf_transformation,[],[f212]) ).
fof(f417,plain,
! [X0] :
( ~ pred_attacker(tuple_client_A_out_9(X0))
| pred_attacker(X0) ),
inference(cnf_transformation,[],[f220]) ).
fof(f425,plain,
! [X0] :
( ~ pred_attacker(tuple_client_A_out_10(X0))
| pred_attacker(X0) ),
inference(cnf_transformation,[],[f228]) ).
fof(f430,plain,
! [X0] :
( pred_attacker(tuple_client_A_in_8(X0))
| ~ pred_attacker(X0) ),
inference(cnf_transformation,[],[f234]) ).
fof(f432,plain,
! [X0] :
( pred_attacker(tuple_client_A_in_6(X0))
| ~ pred_attacker(X0) ),
inference(cnf_transformation,[],[f236]) ).
fof(f434,plain,
! [X0] :
( pred_attacker(tuple_client_A_in_4(X0))
| ~ pred_attacker(X0) ),
inference(cnf_transformation,[],[f238]) ).
fof(f436,plain,
! [X0] :
( pred_attacker(tuple_client_A_in_2(X0))
| ~ pred_attacker(X0) ),
inference(cnf_transformation,[],[f240]) ).
fof(f447,plain,
! [X0] :
( pred_attacker(constr_cbc_4_get_2_prefixes(X0))
| ~ pred_attacker(X0) ),
inference(cnf_transformation,[],[f259]) ).
fof(f456,plain,
pred_attacker(constr_CONST_0x30),
inference(cnf_transformation,[],[f161]) ).
fof(f466,plain,
! [X0,X1] :
( pred_attacker(tuple_2(X0,X1))
| ~ pred_attacker(X0)
| ~ pred_attacker(X1) ),
inference(cnf_transformation,[],[f276]) ).
fof(f480,plain,
! [X2,X3,X0,X1,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_objective1)) ),
inference(cnf_transformation,[],[f290]) ).
fof(f481,plain,
! [X2,X3,X0,X1,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_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_attacker(tuple_client_A_in_2(X2))
| pred_attacker(tuple_client_A_out_10(constr_enc(name_objective2,constr_tuple_2_get_0x30_bitstring(constr_cbc_dec_2(X1,name_Kas))))) ),
inference(cnf_transformation,[],[f292]) ).
fof(f483,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,[],[f295]) ).
fof(f484,plain,
~ pred_attacker(tuple_2(name_objective1,name_objective2)),
inference(cnf_transformation,[],[f192]) ).
fof(f486,definition,
( spl0_1
<=> pred_attacker(tuple_client_A_out_9(name_objective1)) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f488,plain,
( pred_attacker(tuple_client_A_out_9(name_objective1))
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f486]) ).
fof(f490,definition,
( spl0_2
<=> ! [X4,X0,X3,X2,X1] :
( ~ pred_attacker(tuple_client_A_in_2(X2))
| ~ 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_in_8(X4))
| ~ 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_4(X3))
| ~ pred_eq_bitstring_bitstring(name_B,constr_tuple_4_get_1(constr_cbc_dec_4(X2,name_Kas)))
| ~ pred_eq_bitstring_bitstring(name_Na(X0),constr_tuple_4_get_0x30(constr_cbc_dec_4(X2,name_Kas))) ) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f491,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ pred_attacker(tuple_client_A_in_2(X2))
| ~ 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_in_8(X4))
| ~ 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_4(X3))
| ~ pred_eq_bitstring_bitstring(name_B,constr_tuple_4_get_1(constr_cbc_dec_4(X2,name_Kas)))
| ~ pred_eq_bitstring_bitstring(name_Na(X0),constr_tuple_4_get_0x30(constr_cbc_dec_4(X2,name_Kas))) )
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f490]) ).
fof(f492,plain,
( spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f480,f490,f486]) ).
fof(f493,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ pred_attacker(tuple_client_A_in_2(X2))
| ~ 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_in_8(X4))
| ~ 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_4(X3))
| ~ pred_eq_bitstring_bitstring(name_B,constr_tuple_4_get_1(constr_cbc_dec_4(X2,name_Kas))) )
| ~ spl0_2 ),
inference(forward_subsumption_resolution,[],[f491,f391]) ).
fof(f494,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ pred_attacker(tuple_client_A_in_2(X2))
| ~ 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_in_8(X4))
| ~ 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_4(X3)) )
| ~ spl0_2 ),
inference(forward_subsumption_resolution,[],[f493,f391]) ).
fof(f495,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ pred_attacker(tuple_client_A_in_2(X2))
| ~ 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_in_8(X4))
| ~ pred_attacker(tuple_client_A_in_6(X1))
| ~ pred_attacker(tuple_client_A_in_4(X3)) )
| ~ spl0_2 ),
inference(forward_subsumption_resolution,[],[f494,f391]) ).
fof(f496,plain,
( ! [X2,X3,X1,X4] :
( ~ pred_attacker(tuple_client_A_in_2(X2))
| ~ pred_attacker(tuple_client_A_in_8(X4))
| ~ pred_attacker(tuple_client_A_in_6(X1))
| ~ pred_attacker(tuple_client_A_in_4(X3)) )
| ~ spl0_2 ),
inference(forward_subsumption_resolution,[],[f495,f391]) ).
fof(f498,definition,
( spl0_3
<=> ! [X3] : ~ pred_attacker(tuple_client_A_in_4(X3)) ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f499,plain,
( ! [X3] : ~ pred_attacker(tuple_client_A_in_4(X3))
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f498]) ).
fof(f501,definition,
( spl0_4
<=> ! [X1] : ~ pred_attacker(tuple_client_A_in_6(X1)) ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
fof(f502,plain,
( ! [X1] : ~ pred_attacker(tuple_client_A_in_6(X1))
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f501]) ).
fof(f504,definition,
( spl0_5
<=> ! [X4] : ~ pred_attacker(tuple_client_A_in_8(X4)) ),
introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).
fof(f505,plain,
( ! [X4] : ~ pred_attacker(tuple_client_A_in_8(X4))
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f504]) ).
fof(f507,definition,
( spl0_6
<=> ! [X2] : ~ pred_attacker(tuple_client_A_in_2(X2)) ),
introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).
fof(f508,plain,
( ! [X2] : ~ pred_attacker(tuple_client_A_in_2(X2))
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f507]) ).
fof(f509,plain,
( spl0_3
| spl0_4
| spl0_5
| spl0_6
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f496,f490,f507,f504,f501,f498]) ).
fof(f522,plain,
( ! [X0] : ~ pred_attacker(X0)
| ~ spl0_3 ),
inference(resolution,[],[f434,f499]) ).
fof(f523,plain,
( $false
| ~ spl0_3 ),
inference(resolution,[],[f522,f456]) ).
fof(f565,plain,
~ spl0_3,
inference(avatar_contradiction_clause,[],[f523]) ).
fof(f566,plain,
( ! [X0] : ~ pred_attacker(X0)
| ~ spl0_4 ),
inference(resolution,[],[f502,f432]) ).
fof(f567,plain,
( $false
| ~ spl0_4 ),
inference(resolution,[],[f566,f456]) ).
fof(f609,plain,
~ spl0_4,
inference(avatar_contradiction_clause,[],[f567]) ).
fof(f610,plain,
( ! [X0] : ~ pred_attacker(X0)
| ~ spl0_5 ),
inference(resolution,[],[f505,f430]) ).
fof(f611,plain,
( $false
| ~ spl0_5 ),
inference(resolution,[],[f610,f456]) ).
fof(f653,plain,
~ spl0_5,
inference(avatar_contradiction_clause,[],[f611]) ).
fof(f655,plain,
( ! [X0] : ~ pred_attacker(X0)
| ~ spl0_6 ),
inference(resolution,[],[f436,f508]) ).
fof(f656,plain,
( $false
| ~ spl0_6 ),
inference(resolution,[],[f655,f456]) ).
fof(f699,plain,
~ spl0_6,
inference(avatar_contradiction_clause,[],[f656]) ).
fof(f700,plain,
( pred_attacker(name_objective1)
| ~ spl0_1 ),
inference(resolution,[],[f488,f417]) ).
fof(f711,plain,
! [X0,X1] :
( ~ pred_attacker(constr_enc(X0,X1))
| pred_attacker(X0)
| ~ pred_attacker(X1) ),
inference(superposition,[],[f409,f384]) ).
fof(f713,plain,
( ~ pred_attacker(name_objective1)
| ~ pred_attacker(name_objective2) ),
inference(resolution,[],[f466,f484]) ).
fof(f716,plain,
( ~ pred_attacker(name_objective2)
| ~ spl0_1 ),
inference(forward_subsumption_resolution,[],[f713,f700]) ).
fof(f739,plain,
! [X2,X3,X0,X1,X4] :
( ~ pred_attacker(constr_cbc_enc_4(X0,X1,X3,X4,X2))
| pred_attacker(constr_cbc_enc_2(X0,X1,X2)) ),
inference(superposition,[],[f447,f379]) ).
fof(f762,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,[],[f483,f402]) ).
fof(f814,plain,
! [X2,X3,X0,X1,X4] :
( ~ 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_in_6(X3))
| ~ pred_eq_bitstring_bitstring(name_A,constr_tuple_2_get_1(constr_cbc_dec_2(X3,name_Kas)))
| ~ pred_attacker(tuple_client_A_in_8(X4))
| ~ pred_attacker(tuple_client_A_in_2(X1))
| pred_attacker(tuple_client_A_out_10(constr_enc(name_objective2,constr_tuple_2_get_0x30_bitstring(constr_cbc_dec_2(X3,name_Kas))))) ),
inference(resolution,[],[f481,f391]) ).
fof(f819,plain,
! [X2,X3,X0,X1,X4] :
( ~ 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_in_6(X3))
| ~ pred_attacker(tuple_client_A_in_8(X4))
| ~ pred_attacker(tuple_client_A_in_2(X1))
| pred_attacker(tuple_client_A_out_10(constr_enc(name_objective2,constr_tuple_2_get_0x30_bitstring(constr_cbc_dec_2(X3,name_Kas))))) ),
inference(forward_subsumption_resolution,[],[f814,f391]) ).
fof(f822,plain,
! [X2,X3,X0,X1,X4] :
( ~ pred_eq_bitstring_bitstring(name_Na(X0),constr_tuple_4_get_0x30(constr_cbc_dec_4(X1,name_Kas)))
| ~ pred_attacker(tuple_client_A_in_4(X2))
| ~ pred_attacker(tuple_client_A_in_6(X3))
| ~ pred_attacker(tuple_client_A_in_8(X4))
| ~ pred_attacker(tuple_client_A_in_2(X1))
| pred_attacker(tuple_client_A_out_10(constr_enc(name_objective2,constr_tuple_2_get_0x30_bitstring(constr_cbc_dec_2(X3,name_Kas))))) ),
inference(forward_subsumption_resolution,[],[f819,f391]) ).
fof(f825,plain,
! [X2,X3,X1,X4] :
( ~ pred_attacker(tuple_client_A_in_4(X2))
| ~ pred_attacker(tuple_client_A_in_6(X3))
| ~ pred_attacker(tuple_client_A_in_8(X4))
| ~ pred_attacker(tuple_client_A_in_2(X1))
| pred_attacker(tuple_client_A_out_10(constr_enc(name_objective2,constr_tuple_2_get_0x30_bitstring(constr_cbc_dec_2(X3,name_Kas))))) ),
inference(forward_subsumption_resolution,[],[f822,f391]) ).
fof(f829,definition,
( spl0_11
<=> ! [X3] :
( ~ pred_attacker(tuple_client_A_in_6(X3))
| pred_attacker(tuple_client_A_out_10(constr_enc(name_objective2,constr_tuple_2_get_0x30_bitstring(constr_cbc_dec_2(X3,name_Kas))))) ) ),
introduced(definition,[new_symbols(definition,[spl0_11])],[avatar_definition]) ).
fof(f830,plain,
( ! [X3] :
( pred_attacker(tuple_client_A_out_10(constr_enc(name_objective2,constr_tuple_2_get_0x30_bitstring(constr_cbc_dec_2(X3,name_Kas)))))
| ~ pred_attacker(tuple_client_A_in_6(X3)) )
| ~ spl0_11 ),
inference(avatar_component_clause,[],[f829]) ).
fof(f831,plain,
( spl0_6
| spl0_5
| spl0_11
| spl0_3 ),
inference(avatar_split_clause,[],[f825,f498,f829,f504,f507]) ).
fof(f850,plain,
( ! [X0] :
( pred_attacker(constr_enc(name_objective2,constr_tuple_2_get_0x30_bitstring(constr_cbc_dec_2(X0,name_Kas))))
| ~ pred_attacker(tuple_client_A_in_6(X0)) )
| ~ spl0_11 ),
inference(resolution,[],[f830,f425]) ).
fof(f855,plain,
( ! [X0] :
( ~ pred_attacker(tuple_client_A_in_6(X0))
| pred_attacker(name_objective2)
| ~ pred_attacker(constr_tuple_2_get_0x30_bitstring(constr_cbc_dec_2(X0,name_Kas))) )
| ~ spl0_11 ),
inference(resolution,[],[f850,f711]) ).
fof(f858,plain,
( ! [X0] :
( ~ pred_attacker(constr_tuple_2_get_0x30_bitstring(constr_cbc_dec_2(X0,name_Kas)))
| ~ pred_attacker(tuple_client_A_in_6(X0)) )
| ~ spl0_1
| ~ spl0_11 ),
inference(forward_subsumption_resolution,[],[f855,f716]) ).
fof(f862,plain,
( ! [X0,X1] :
( ~ pred_attacker(constr_tuple_2_get_0x30_bitstring(tuple_2(X0,X1)))
| ~ pred_attacker(tuple_client_A_in_6(constr_cbc_enc_2(X0,X1,name_Kas))) )
| ~ spl0_1
| ~ spl0_11 ),
inference(superposition,[],[f858,f376]) ).
fof(f863,plain,
( ! [X0,X1] :
( ~ pred_attacker(tuple_client_A_in_6(constr_cbc_enc_2(X0,X1,name_Kas)))
| ~ pred_attacker(X0) )
| ~ spl0_1
| ~ spl0_11 ),
inference(forward_demodulation,[],[f862,f387]) ).
fof(f867,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,[],[f762,f739]) ).
fof(f882,plain,
( ! [X0,X1] :
( ~ pred_attacker(constr_cbc_enc_2(X0,X1,name_Kas))
| ~ pred_attacker(X0) )
| ~ spl0_1
| ~ spl0_11 ),
inference(resolution,[],[f863,f432]) ).
fof(f898,definition,
( spl0_16
<=> ! [X2] : ~ pred_attacker(X2) ),
introduced(definition,[new_symbols(definition,[spl0_16])],[avatar_definition]) ).
fof(f899,plain,
( ! [X2] : ~ pred_attacker(X2)
| ~ spl0_16 ),
inference(avatar_component_clause,[],[f898]) ).
fof(f906,plain,
( $false
| ~ spl0_16 ),
inference(resolution,[],[f899,f456]) ).
fof(f992,plain,
~ spl0_16,
inference(avatar_contradiction_clause,[],[f906]) ).
fof(f993,plain,
! [X2,X0,X1] :
( pred_attacker(constr_cbc_enc_2(X0,X1,name_Kas))
| ~ pred_attacker(X1)
| ~ pred_attacker(X2)
| ~ pred_attacker(X0) ),
inference(resolution,[],[f867,f403]) ).
fof(f994,plain,
( ! [X2,X0,X1] :
( ~ pred_attacker(X1)
| ~ pred_attacker(X2)
| ~ pred_attacker(X0) )
| ~ spl0_1
| ~ spl0_11 ),
inference(forward_subsumption_resolution,[],[f993,f882]) ).
fof(f995,plain,
( spl0_16
| spl0_16
| spl0_16
| ~ spl0_1
| ~ spl0_11 ),
inference(avatar_split_clause,[],[f994,f829,f486,f898,f898,f898]) ).
cnf(s1,plain,
( spl0_1
| spl0_2 ),
inference(sat_conversion,[],[f492]) ).
cnf(s2,plain,
( ~ spl0_2
| spl0_3
| spl0_4
| spl0_5
| spl0_6 ),
inference(sat_conversion,[],[f509]) ).
cnf(s14,plain,
~ spl0_3,
inference(sat_conversion,[],[f565]) ).
cnf(s26,plain,
~ spl0_4,
inference(sat_conversion,[],[f609]) ).
cnf(s38,plain,
~ spl0_5,
inference(sat_conversion,[],[f653]) ).
cnf(s50,plain,
~ spl0_6,
inference(sat_conversion,[],[f699]) ).
cnf(s53,plain,
( spl0_3
| spl0_5
| spl0_6
| spl0_11 ),
inference(sat_conversion,[],[f831]) ).
cnf(s74,plain,
~ spl0_16,
inference(sat_conversion,[],[f992]) ).
cnf(s75,plain,
( spl0_16
| spl0_16
| ~ spl0_1
| ~ spl0_11
| spl0_16 ),
inference(sat_conversion,[],[f995]) ).
cnf(s76,plain,
( ~ spl0_1
| ~ spl0_11
| spl0_16 ),
inference(rat,[],[s75]) ).
cnf(s80,plain,
spl0_11,
inference(rat,[],[s53,s38,s50,s14]) ).
cnf(s81,plain,
~ spl0_1,
inference(rat,[],[s76,s74,s80]) ).
cnf(s82,plain,
~ spl0_2,
inference(rat,[],[s2,s50,s38,s26,s14]) ).
cnf(s83,plain,
$false,
inference(rat,[],[s1,s82,s81]) ).
fof(f996,plain,
$false,
inference(avatar_sat_refutation,[],[s83]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWW968+1 : TPTP v9.3.1. Released v7.4.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.24/0.27 % Computer : n026.cluster.edu
% 0.24/0.27 % Model : x86_64 x86_64
% 0.24/0.27 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.24/0.27 % Memory : 8046.5625MB
% 0.24/0.27 % OS : Linux 6.8.0-71-generic
% 0.24/0.27 % CPULimit : 300
% 0.24/0.27 % WCLimit : 300
% 0.24/0.27 % DateTime : Mon Sep 28 14:52:12 UTC 2026
% 0.24/0.28 % CPUTime :
% 0.24/0.28 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.24/0.33 Running first-order model finding
% 0.24/0.33 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.31/0.43 % (3903107)Will run a generic schedule for satisfiability detection.
% 0.31/0.43 % (3903112)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2484241646_2999 on theBenchmark for (2999ds/0Mi)
% 0.31/0.43 % (3903113)% WARNING: option uhcvi not known.
% 0.31/0.43 % Detected minimum model sizes of [13]
% 0.31/0.43 % Detected maximum model sizes of [max]
% 0.31/0.43 % TRYING [13]
% 0.31/0.43 % (3903115)dis+10_1_sil=32000:sp=arity:random_seed=4275449581:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.31/0.43 % (3903116)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3804249444:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.31/0.43 % (3903113)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=4071731146:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.31/0.43 % (3903114)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2253546377:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.31/0.43 % (3903118)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3229077374:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.31/0.43 % (3903117)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1206659385:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.31/0.43 % (3903116) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3903107-3903116"...
% 0.31/0.43 % (3903115) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3903107-3903115"...
% 0.31/0.43 % (3903116)...printing done.
% 0.31/0.43 % (3903116)Refutation found. Thanks to Tanya!
% 0.31/0.43 % SZS status Theorem for theBenchmark
% 0.31/0.43 % SZS output start Proof for theBenchmark
% See solution above
% 0.31/0.44 % (3903116)------------------------------
% 0.31/0.44 % (3903116)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.31/0.44 % (3903116)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.31/0.44 % (3903116)CaDiCaL version: 2.1.3
% 0.31/0.44 % (3903116)Termination reason: Refutation
% 0.31/0.44 % (3903116)Time elapsed: 0.027 s
% 0.31/0.44 % (3903116)Peak memory usage: 13 MB
% 0.31/0.44 % (3903116)Instructions burned: 24 (million)
% 0.31/0.44 % (3903107)Success in time 0.093 s
% 0.31/0.44 % Vampire exiting
%------------------------------------------------------------------------------