%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWW968+1 : TPTP v9.3.1. Released v7.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n018.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 01:38:07 PM UTC 2026
% Result : Theorem 3.05s 1.12s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 31
% Syntax : Number of formulae : 145 ( 29 unt; 10 def)
% Number of atoms : 429 ( 8 equ)
% Maximal formula atoms : 9 ( 2 avg)
% Number of connectives : 540 ( 256 ~; 242 |; 18 &)
% ( 10 <=>; 14 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 5 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 14 ( 12 usr; 11 prp; 0-2 aty)
% Number of functors : 32 ( 32 usr; 7 con; 0-5 aty)
% Number of variables : 230 ( 0 sgn 230 !; 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/sandbox2/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/sandbox2/benchmark/theBenchmark.p',ax83) ).
fof(f89,axiom,
! [X0,X1] : constr_dec(constr_enc(X1,X0),X0) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax88) ).
fof(f92,axiom,
! [X0,X1] : constr_tuple_2_get_0x30_bitstring(tuple_2(X0,X1)) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax91) ).
fof(f96,axiom,
! [X0,X1] : pred_eq_bitstring_bitstring(X0,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax95) ).
fof(f107,axiom,
! [X0] :
( pred_attacker(tuple_server_S_out_2(X0))
=> pred_attacker(X0) ),
file('/export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p',ax107) ).
fof(f114,axiom,
! [X0,X1] :
( ( pred_attacker(X0)
& pred_attacker(X1) )
=> pred_attacker(constr_dec(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax113) ).
fof(f122,axiom,
! [X0] :
( pred_attacker(tuple_client_A_out_9(X0))
=> pred_attacker(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax121) ).
fof(f130,axiom,
! [X0] :
( pred_attacker(tuple_client_A_out_10(X0))
=> pred_attacker(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax129) ).
fof(f135,axiom,
! [X0] :
( pred_attacker(X0)
=> pred_attacker(tuple_client_A_in_8(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax134) ).
fof(f137,axiom,
! [X0] :
( pred_attacker(X0)
=> pred_attacker(tuple_client_A_in_6(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax136) ).
fof(f139,axiom,
! [X0] :
( pred_attacker(X0)
=> pred_attacker(tuple_client_A_in_4(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax138) ).
fof(f141,axiom,
! [X0] :
( pred_attacker(X0)
=> pred_attacker(tuple_client_A_in_2(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax140) ).
fof(f152,axiom,
! [X0] :
( pred_attacker(X0)
=> pred_attacker(constr_cbc_4_get_2_prefixes(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax151) ).
fof(f161,axiom,
pred_attacker(constr_CONST_0x30),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax160) ).
fof(f171,axiom,
! [X0,X1] :
( ( pred_attacker(X0)
& pred_attacker(X1) )
=> pred_attacker(tuple_2(X0,X1)) ),
file('/export/starexec/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/benchmark/theBenchmark.p',ax188) ).
fof(f190,conjecture,
pred_attacker(tuple_2(name_objective1,name_objective2)),
file('/export/starexec/sandbox2/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(X0)
| ~ pred_attacker(X1)
| ~ 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_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(cnf_transformation,[],[f290]) ).
fof(f481,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_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_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_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(cnf_transformation,[],[f295]) ).
fof(f484,plain,
~ pred_attacker(tuple_2(name_objective1,name_objective2)),
inference(cnf_transformation,[],[f192]) ).
fof(f486,definition,
( spl0_1
<=> ! [X2,X4,X0,X3,X1] :
( ~ 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_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)) ) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f487,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_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)) )
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f486]) ).
fof(f489,definition,
( spl0_2
<=> pred_attacker(tuple_client_A_out_9(name_objective1)) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f491,plain,
( pred_attacker(tuple_client_A_out_9(name_objective1))
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f489]) ).
fof(f492,plain,
( spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f480,f489,f486]) ).
fof(f493,plain,
( ~ pred_attacker(name_objective1)
| ~ pred_attacker(name_objective2) ),
inference(resolution,[],[f466,f484]) ).
fof(f497,definition,
( spl0_3
<=> pred_attacker(name_objective2) ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f499,plain,
( ~ pred_attacker(name_objective2)
| spl0_3 ),
inference(avatar_component_clause,[],[f497]) ).
fof(f501,definition,
( spl0_4
<=> pred_attacker(name_objective1) ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
fof(f504,plain,
( ~ spl0_3
| ~ spl0_4 ),
inference(avatar_split_clause,[],[f493,f501,f497]) ).
fof(f508,plain,
( pred_attacker(name_objective1)
| ~ spl0_2 ),
inference(resolution,[],[f417,f491]) ).
fof(f510,plain,
( spl0_4
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f508,f489,f501]) ).
fof(f515,plain,
! [X2,X3,X0,X1,X4] :
( ~ pred_attacker(X0)
| ~ pred_eq_bitstring_bitstring(tuple_succ(name_Na0x27(X1,X0,X2)),constr_cbc_dec_1(X3,constr_tuple_2_get_0x30_bitstring(constr_cbc_dec_2(X4,name_Kas))))
| ~ pred_attacker(tuple_client_A_in_8(X3))
| ~ pred_eq_bitstring_bitstring(name_A,constr_tuple_2_get_1(constr_cbc_dec_2(X4,name_Kas)))
| ~ pred_attacker(tuple_client_A_in_6(X4))
| ~ pred_attacker(tuple_client_A_in_4(X1))
| ~ pred_eq_bitstring_bitstring(name_B,constr_tuple_4_get_1(constr_cbc_dec_4(X0,name_Kas)))
| ~ pred_eq_bitstring_bitstring(name_Na(X2),constr_tuple_4_get_0x30(constr_cbc_dec_4(X0,name_Kas)))
| pred_attacker(tuple_client_A_out_10(constr_enc(name_objective2,constr_tuple_2_get_0x30_bitstring(constr_cbc_dec_2(X4,name_Kas))))) ),
inference(resolution,[],[f436,f481]) ).
fof(f516,plain,
! [X2,X3,X0,X1,X4] :
( ~ pred_attacker(X0)
| ~ pred_eq_bitstring_bitstring(tuple_succ(name_Na0x27(X1,X0,X2)),constr_cbc_dec_1(X3,constr_tuple_2_get_0x30_bitstring(constr_cbc_dec_2(X4,name_Kas))))
| ~ pred_attacker(tuple_client_A_in_8(X3))
| ~ pred_eq_bitstring_bitstring(name_A,constr_tuple_2_get_1(constr_cbc_dec_2(X4,name_Kas)))
| ~ pred_attacker(tuple_client_A_in_6(X4))
| ~ pred_attacker(tuple_client_A_in_4(X1))
| ~ pred_eq_bitstring_bitstring(name_B,constr_tuple_4_get_1(constr_cbc_dec_4(X0,name_Kas)))
| pred_attacker(tuple_client_A_out_10(constr_enc(name_objective2,constr_tuple_2_get_0x30_bitstring(constr_cbc_dec_2(X4,name_Kas))))) ),
inference(forward_subsumption_resolution,[],[f515,f391]) ).
fof(f517,plain,
! [X2,X3,X0,X1,X4] :
( ~ pred_attacker(X0)
| ~ pred_eq_bitstring_bitstring(tuple_succ(name_Na0x27(X1,X0,X2)),constr_cbc_dec_1(X3,constr_tuple_2_get_0x30_bitstring(constr_cbc_dec_2(X4,name_Kas))))
| ~ pred_attacker(tuple_client_A_in_8(X3))
| ~ pred_eq_bitstring_bitstring(name_A,constr_tuple_2_get_1(constr_cbc_dec_2(X4,name_Kas)))
| ~ pred_attacker(tuple_client_A_in_6(X4))
| ~ pred_attacker(tuple_client_A_in_4(X1))
| pred_attacker(tuple_client_A_out_10(constr_enc(name_objective2,constr_tuple_2_get_0x30_bitstring(constr_cbc_dec_2(X4,name_Kas))))) ),
inference(forward_subsumption_resolution,[],[f516,f391]) ).
fof(f518,plain,
! [X2,X3,X0,X1,X4] :
( ~ pred_attacker(X0)
| ~ pred_eq_bitstring_bitstring(tuple_succ(name_Na0x27(X1,X0,X2)),constr_cbc_dec_1(X3,constr_tuple_2_get_0x30_bitstring(constr_cbc_dec_2(X4,name_Kas))))
| ~ pred_attacker(tuple_client_A_in_8(X3))
| ~ pred_attacker(tuple_client_A_in_6(X4))
| ~ pred_attacker(tuple_client_A_in_4(X1))
| pred_attacker(tuple_client_A_out_10(constr_enc(name_objective2,constr_tuple_2_get_0x30_bitstring(constr_cbc_dec_2(X4,name_Kas))))) ),
inference(forward_subsumption_resolution,[],[f517,f391]) ).
fof(f519,plain,
! [X3,X0,X1,X4] :
( ~ pred_attacker(X0)
| ~ pred_attacker(tuple_client_A_in_8(X3))
| ~ pred_attacker(tuple_client_A_in_6(X4))
| ~ pred_attacker(tuple_client_A_in_4(X1))
| pred_attacker(tuple_client_A_out_10(constr_enc(name_objective2,constr_tuple_2_get_0x30_bitstring(constr_cbc_dec_2(X4,name_Kas))))) ),
inference(forward_subsumption_resolution,[],[f518,f391]) ).
fof(f521,definition,
( spl0_5
<=> ! [X1] : ~ pred_attacker(tuple_client_A_in_4(X1)) ),
introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).
fof(f522,plain,
( ! [X1] : ~ pred_attacker(tuple_client_A_in_4(X1))
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f521]) ).
fof(f524,definition,
( spl0_6
<=> ! [X4] :
( ~ pred_attacker(tuple_client_A_in_6(X4))
| pred_attacker(tuple_client_A_out_10(constr_enc(name_objective2,constr_tuple_2_get_0x30_bitstring(constr_cbc_dec_2(X4,name_Kas))))) ) ),
introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).
fof(f525,plain,
( ! [X4] :
( ~ pred_attacker(tuple_client_A_in_6(X4))
| pred_attacker(tuple_client_A_out_10(constr_enc(name_objective2,constr_tuple_2_get_0x30_bitstring(constr_cbc_dec_2(X4,name_Kas))))) )
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f524]) ).
fof(f527,definition,
( spl0_7
<=> ! [X3] : ~ pred_attacker(tuple_client_A_in_8(X3)) ),
introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).
fof(f528,plain,
( ! [X3] : ~ pred_attacker(tuple_client_A_in_8(X3))
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f527]) ).
fof(f530,definition,
( spl0_8
<=> ! [X0] : ~ pred_attacker(X0) ),
introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition]) ).
fof(f531,plain,
( ! [X0] : ~ pred_attacker(X0)
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f530]) ).
fof(f532,plain,
( spl0_5
| spl0_6
| spl0_7
| spl0_8 ),
inference(avatar_split_clause,[],[f519,f530,f527,f524,f521]) ).
fof(f534,plain,
( ! [X0] : ~ pred_attacker(X0)
| ~ spl0_5 ),
inference(resolution,[],[f522,f434]) ).
fof(f535,plain,
( spl0_8
| ~ spl0_5 ),
inference(avatar_split_clause,[],[f534,f521,f530]) ).
fof(f548,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(f568,plain,
! [X0,X1] :
( ~ pred_attacker(constr_enc(X0,X1))
| pred_attacker(X0)
| ~ pred_attacker(X1) ),
inference(superposition,[],[f409,f384]) ).
fof(f583,plain,
! [X2,X3,X0,X1] :
( pred_attacker(tuple_server_S_out_2(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(X1)
| ~ pred_attacker(X2)
| ~ pred_attacker(X0) ),
inference(resolution,[],[f403,f483]) ).
fof(f589,plain,
( ! [X0] :
( pred_attacker(tuple_client_A_out_10(constr_enc(name_objective2,constr_tuple_2_get_0x30_bitstring(constr_cbc_dec_2(X0,name_Kas)))))
| ~ pred_attacker(X0) )
| ~ spl0_6 ),
inference(resolution,[],[f525,f432]) ).
fof(f597,plain,
( ! [X0] :
( pred_attacker(constr_enc(name_objective2,constr_tuple_2_get_0x30_bitstring(constr_cbc_dec_2(X0,name_Kas))))
| ~ pred_attacker(X0) )
| ~ spl0_6 ),
inference(resolution,[],[f589,f425]) ).
fof(f604,plain,
( ! [X0] :
( ~ pred_attacker(X0)
| pred_attacker(name_objective2)
| ~ pred_attacker(constr_tuple_2_get_0x30_bitstring(constr_cbc_dec_2(X0,name_Kas))) )
| ~ spl0_6 ),
inference(resolution,[],[f597,f568]) ).
fof(f607,plain,
( ! [X0] :
( ~ pred_attacker(constr_tuple_2_get_0x30_bitstring(constr_cbc_dec_2(X0,name_Kas)))
| ~ pred_attacker(X0) )
| spl0_3
| ~ spl0_6 ),
inference(forward_subsumption_resolution,[],[f604,f499]) ).
fof(f609,plain,
( ! [X0,X1] :
( ~ pred_attacker(constr_tuple_2_get_0x30_bitstring(tuple_2(X0,X1)))
| ~ pred_attacker(constr_cbc_enc_2(X0,X1,name_Kas)) )
| spl0_3
| ~ spl0_6 ),
inference(superposition,[],[f607,f376]) ).
fof(f610,plain,
( ! [X0,X1] :
( ~ pred_attacker(constr_cbc_enc_2(X0,X1,name_Kas))
| ~ pred_attacker(X0) )
| spl0_3
| ~ spl0_6 ),
inference(forward_demodulation,[],[f609,f387]) ).
fof(f661,plain,
! [X2,X3,X0,X1] :
( pred_attacker(constr_cbc_enc_4(X1,X0,name_Kab_66(X3),constr_cbc_enc_2(name_Kab_66(X3),X2,name_Kbs),name_Kas))
| ~ pred_attacker(X1)
| ~ pred_attacker(X2)
| ~ pred_attacker(X0) ),
inference(resolution,[],[f583,f402]) ).
fof(f708,plain,
! [X2,X0,X1] :
( ~ pred_attacker(X0)
| ~ pred_attacker(X1)
| ~ pred_attacker(X2)
| pred_attacker(constr_cbc_enc_2(X0,X2,name_Kas)) ),
inference(resolution,[],[f661,f548]) ).
fof(f710,plain,
( ! [X2,X0,X1] :
( ~ pred_attacker(X0)
| ~ pred_attacker(X1)
| ~ pred_attacker(X2) )
| spl0_3
| ~ spl0_6 ),
inference(forward_subsumption_resolution,[],[f708,f610]) ).
fof(f731,plain,
( spl0_8
| spl0_8
| spl0_8
| spl0_3
| ~ spl0_6 ),
inference(avatar_split_clause,[],[f710,f524,f497,f530,f530,f530]) ).
fof(f732,plain,
( $false
| ~ spl0_8 ),
inference(resolution,[],[f531,f456]) ).
fof(f829,plain,
~ spl0_8,
inference(avatar_contradiction_clause,[],[f732]) ).
fof(f841,plain,
( ! [X0] : ~ pred_attacker(X0)
| ~ spl0_7 ),
inference(resolution,[],[f528,f430]) ).
fof(f842,plain,
( spl0_8
| ~ spl0_7 ),
inference(avatar_split_clause,[],[f841,f527,f530]) ).
fof(f843,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_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_attacker(tuple_client_A_in_8(X4)) )
| ~ spl0_1 ),
inference(forward_subsumption_resolution,[],[f487,f391]) ).
fof(f849,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_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_attacker(tuple_client_A_in_4(X3))
| ~ pred_attacker(tuple_client_A_in_6(X1))
| ~ pred_attacker(tuple_client_A_in_8(X4)) )
| ~ spl0_1 ),
inference(forward_subsumption_resolution,[],[f843,f391]) ).
fof(f850,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_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)) )
| ~ spl0_1 ),
inference(forward_subsumption_resolution,[],[f849,f391]) ).
fof(f851,plain,
( ! [X2,X3,X1,X4] :
( ~ 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)) )
| ~ spl0_1 ),
inference(forward_subsumption_resolution,[],[f850,f391]) ).
fof(f853,definition,
( spl0_21
<=> ! [X1] : ~ pred_attacker(tuple_client_A_in_6(X1)) ),
introduced(definition,[new_symbols(definition,[spl0_21])],[avatar_definition]) ).
fof(f854,plain,
( ! [X1] : ~ pred_attacker(tuple_client_A_in_6(X1))
| ~ spl0_21 ),
inference(avatar_component_clause,[],[f853]) ).
fof(f856,definition,
( spl0_22
<=> ! [X2] : ~ pred_attacker(tuple_client_A_in_2(X2)) ),
introduced(definition,[new_symbols(definition,[spl0_22])],[avatar_definition]) ).
fof(f857,plain,
( ! [X2] : ~ pred_attacker(tuple_client_A_in_2(X2))
| ~ spl0_22 ),
inference(avatar_component_clause,[],[f856]) ).
fof(f858,plain,
( spl0_7
| spl0_21
| spl0_5
| spl0_22
| ~ spl0_1 ),
inference(avatar_split_clause,[],[f851,f486,f856,f521,f853,f527]) ).
fof(f861,plain,
( ! [X0] : ~ pred_attacker(X0)
| ~ spl0_21 ),
inference(resolution,[],[f854,f432]) ).
fof(f862,plain,
( spl0_8
| ~ spl0_21 ),
inference(avatar_split_clause,[],[f861,f853,f530]) ).
fof(f863,plain,
( ! [X0] : ~ pred_attacker(X0)
| ~ spl0_22 ),
inference(resolution,[],[f857,f436]) ).
fof(f864,plain,
( spl0_8
| ~ spl0_22 ),
inference(avatar_split_clause,[],[f863,f856,f530]) ).
cnf(s1,plain,
( spl0_1
| spl0_2 ),
inference(sat_conversion,[],[f492]) ).
cnf(s2,plain,
( ~ spl0_3
| ~ spl0_4 ),
inference(sat_conversion,[],[f504]) ).
cnf(s3,plain,
( ~ spl0_2
| spl0_4 ),
inference(sat_conversion,[],[f510]) ).
cnf(s4,plain,
( spl0_5
| spl0_6
| spl0_7
| spl0_8 ),
inference(sat_conversion,[],[f532]) ).
cnf(s5,plain,
( ~ spl0_5
| spl0_8 ),
inference(sat_conversion,[],[f535]) ).
cnf(s17,plain,
( spl0_8
| spl0_8
| spl0_3
| ~ spl0_6
| spl0_8 ),
inference(sat_conversion,[],[f731]) ).
cnf(s18,plain,
( spl0_3
| ~ spl0_6
| spl0_8 ),
inference(rat,[],[s17]) ).
cnf(s35,plain,
~ spl0_8,
inference(sat_conversion,[],[f829]) ).
cnf(s38,plain,
( ~ spl0_7
| spl0_8 ),
inference(sat_conversion,[],[f842]) ).
cnf(s41,plain,
( ~ spl0_1
| spl0_5
| spl0_7
| spl0_21
| spl0_22 ),
inference(sat_conversion,[],[f858]) ).
cnf(s43,plain,
( spl0_8
| ~ spl0_21 ),
inference(sat_conversion,[],[f862]) ).
cnf(s44,plain,
( spl0_8
| ~ spl0_22 ),
inference(sat_conversion,[],[f864]) ).
cnf(s45,plain,
~ spl0_22,
inference(rat,[],[s44,s35]) ).
cnf(s46,plain,
~ spl0_21,
inference(rat,[],[s43,s35]) ).
cnf(s47,plain,
~ spl0_7,
inference(rat,[],[s38,s35]) ).
cnf(s49,plain,
( spl0_3
| ~ spl0_6 ),
inference(rat,[],[s18,s35]) ).
cnf(s56,plain,
~ spl0_5,
inference(rat,[],[s5,s35]) ).
cnf(s57,plain,
~ spl0_1,
inference(rat,[],[s41,s45,s46,s47,s56]) ).
cnf(s58,plain,
spl0_6,
inference(rat,[],[s4,s35,s47,s56]) ).
cnf(s59,plain,
spl0_3,
inference(rat,[],[s49,s58]) ).
cnf(s60,plain,
~ spl0_4,
inference(rat,[],[s2,s59]) ).
cnf(s61,plain,
~ spl0_2,
inference(rat,[],[s3,s60]) ).
cnf(s62,plain,
$false,
inference(rat,[],[s1,s61,s57]) ).
fof(f865,plain,
$false,
inference(avatar_sat_refutation,[],[s62]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWW968+1 : TPTP v9.3.1. Released v7.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.07/0.19 % Computer : n018.cluster.edu
% 0.07/0.19 % Model : x86_64 x86_64
% 0.07/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.19 % Memory : 8046.5625MB
% 0.07/0.19 % OS : Linux 6.8.0-71-generic
% 0.07/0.19 % CPULimit : 300
% 0.07/0.19 % WCLimit : 300
% 0.07/0.19 % DateTime : Mon Sep 28 14:51:40 UTC 2026
% 0.07/0.19 % CPUTime :
% 0.07/0.19 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.07/0.22 Running first-order theorem proving
% 0.07/0.22 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 3.05/1.12 % (3447506)Detected formulas, will run a generic FOF schedule.
% 3.05/1.12 % (3447655)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1080109261:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 3.05/1.12 % (3447655)Refutation not found, incomplete strategy
% 3.05/1.12 % (3447655)------------------------------
% 3.05/1.12 % (3447655)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.05/1.12 % (3447655)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.05/1.12 % (3447655)CaDiCaL version: 2.1.3
% 3.05/1.12 % (3447655)Termination reason: Refutation not found, incomplete strategy
% 3.05/1.12 % (3447655)Time elapsed: 0.001 s
% 3.05/1.12 % (3447655)Peak memory usage: 88 MB
% 3.05/1.12 % (3447655)Instructions burned: 1 (million)
% 3.05/1.12 % (3447653)lrs+1010_1_anc=all:sfv=off:to=kbo:ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:prc=on:sos=all:bsr=unit_only:sac=on:random_seed=1423142987:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 3.05/1.12 % (3447654)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2502624598:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 3.05/1.12 % (3447652)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=869455293:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 3.05/1.12 % (3447654)Refutation not found, incomplete strategy
% 3.05/1.12 % (3447654)------------------------------
% 3.05/1.12 % (3447654)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.05/1.12 % (3447654)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.05/1.12 % (3447654)CaDiCaL version: 2.1.3
% 3.05/1.12 % (3447654)Termination reason: Refutation not found, incomplete strategy
% 3.05/1.12 % (3447654)Time elapsed: 0.002 s
% 3.05/1.12 % (3447654)Peak memory usage: 88 MB
% 3.05/1.12 % (3447654)Instructions burned: 1 (million)
% 3.05/1.12 % (3447651)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=2824613378:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 3.05/1.12 % (3447657)dis-21_1_sil=8000:lcm=predicate:random_seed=1726632770:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 3.05/1.12 % (3447656)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=4001652257:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 3.05/1.12 % (3447657)Refutation not found, incomplete strategy
% 3.05/1.12 % (3447657)------------------------------
% 3.05/1.12 % (3447657)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.05/1.12 % (3447657)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.05/1.12 % (3447657)CaDiCaL version: 2.1.3
% 3.05/1.12 % (3447657)Termination reason: Refutation not found, incomplete strategy
% 3.05/1.12 % (3447657)Time elapsed: 0.008 s
% 3.05/1.12 % (3447657)Peak memory usage: 88 MB
% 3.05/1.12 % (3447657)Instructions burned: 13 (million)
% 3.05/1.12 % (3447656)First to succeed.
% 3.05/1.12 % (3447656)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3447506"
% 3.05/1.12 % (3447655)------------------------------
% 3.05/1.12 % (3447655)------------------------------
% 3.05/1.12 % (3447703)lrs+10_1_sil=8000:sp=occurrence:random_seed=4058764144:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 3.05/1.12 % (3447654)------------------------------
% 3.05/1.12 % (3447654)------------------------------
% 3.05/1.12 % (3447703)Refutation not found, incomplete strategy
% 3.05/1.12 % (3447703)------------------------------
% 3.05/1.12 % (3447703)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.05/1.12 % (3447703)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.05/1.12 % (3447703)CaDiCaL version: 2.1.3
% 3.05/1.12 % (3447703)Termination reason: Refutation not found, incomplete strategy
% 3.05/1.12 % (3447703)Time elapsed: 0.005 s
% 3.05/1.12 % (3447703)Peak memory usage: 89 MB
% 3.05/1.12 % (3447703)Instructions burned: 12 (million)
% 3.05/1.12 % (3447657)------------------------------
% 3.05/1.12 % (3447657)------------------------------
% 3.05/1.12 % (3447656)Refutation found. Thanks to Tanya!
% 3.05/1.12 % SZS status Theorem for theBenchmark
% 3.05/1.12 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/1.31 % (3447656)------------------------------
% 0.19/1.31 % (3447656)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.19/1.31 % (3447656)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.19/1.31 % (3447656)CaDiCaL version: 2.1.3
% 0.19/1.31 % (3447656)Termination reason: Refutation
% 0.19/1.31 % (3447656)Time elapsed: 0.021 s
% 0.19/1.31 % (3447656)Peak memory usage: 90 MB
% 0.19/1.31 % (3447656)Instructions burned: 28 (million)
% 0.19/1.31 % (3447656)------------------------------
% 0.19/1.31 % (3447656)------------------------------
% 0.19/1.31 % (3447506)Success in time 0.443 s
% 0.19/1.31 % Vampire exiting
%------------------------------------------------------------------------------