%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SWW969+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 : n002.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 : CounterSatisfiable 0.20s 0.28s
% Output : Saturation 0.20s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
cnf(u460,axiom,
( ~ pred_attacker(constr_tuple_2_get_0x30_bitstring(constr_cbc_dec_2(X0,name_Kbs)))
| ~ pred_attacker(tuple_client_B_in_1(X0)) ) ).
cnf(u476,axiom,
~ pred_attacker(name_Kbs) ).
cnf(u501,axiom,
~ pred_attacker(name_Kas) ).
cnf(u516,axiom,
( pred_attacker(constr_cbc_enc_1(X0,name_Kas))
| ~ pred_attacker(X0) ) ).
cnf(u602,axiom,
( pred_attacker(constr_cbc_enc_2(X0,X1,name_Kas))
| ~ pred_attacker(X0)
| ~ pred_attacker(X1) ) ).
cnf(u612,axiom,
( pred_attacker(constr_cbc_enc_3(X0,X1,name_Kab_65(X2),name_Kas))
| ~ pred_attacker(X0)
| ~ pred_attacker(X1) ) ).
cnf(u624,axiom,
( pred_attacker(tuple_client_A_out_5(constr_cbc_enc_1(tuple_succ(constr_cbc_dec_1(X0,name_Kab_65(X1))),name_Kab_65(X1))))
| ~ pred_attacker(tuple_client_A_in_4(X0)) ) ).
cnf(u643,axiom,
( pred_attacker(constr_cbc_enc_2(name_Kab_65(X0),X1,name_Kbs))
| ~ pred_attacker(X1) ) ).
cnf(u653,axiom,
pred_attacker(constr_cbc_enc_1(name_Kab_65(X1),name_Kbs)) ).
cnf(u657,axiom,
~ pred_attacker(name_Kab_65(X1)) ).
cnf(u661,axiom,
pred_attacker(tuple_client_B_out_2(constr_cbc_enc_1(name_Nb_62(X1),name_Kab_65(X2)))) ).
cnf(u665,axiom,
pred_attacker(constr_cbc_enc_1(name_Nb_62(X1),name_Kab_65(X2))) ).
cnf(u672,axiom,
( pred_attacker(tuple_client_A_out_3(constr_cbc_enc_2(name_Kab_65(X0),X1,name_Kbs)))
| ~ pred_attacker(X1) ) ).
cnf(u682,axiom,
( pred_attacker(constr_cbc_enc_1(tuple_succ(constr_cbc_dec_1(X0,name_Kab_65(X1))),name_Kab_65(X1)))
| ~ pred_attacker(tuple_client_A_in_4(X0)) ) ).
cnf(u704,axiom,
( pred_attacker(tuple_client_A_out_5(constr_cbc_enc_1(tuple_succ(X0),name_Kab_65(X1))))
| ~ pred_attacker(tuple_client_A_in_4(constr_cbc_enc_1(X0,name_Kab_65(X1)))) ) ).
cnf(u761,axiom,
( ~ pred_attacker(constr_tuple_4_get_2_bitstring(constr_cbc_dec_4(X1,name_Kas)))
| ~ pred_attacker(tuple_client_A_in_2(X1)) ) ).
cnf(u344,axiom,
( pred_attacker(constr_cbc_enc_4(X0,X1,X2,X3,X4))
| ~ pred_attacker(X0)
| ~ pred_attacker(X1)
| ~ pred_attacker(X2)
| ~ pred_attacker(X3)
| ~ pred_attacker(X4) ) ).
cnf(u295,axiom,
constr_cbc_dec_2(constr_cbc_enc_2(X1,X2,X0),X0) = tuple_2(X1,X2) ).
cnf(u240,axiom,
constr_CONST_0x30 != constr_CONST_3 ).
cnf(u339,axiom,
( ~ pred_attacker(tuple_client_A_out_1(X0,X1,X2))
| pred_attacker(X2) ) ).
cnf(u367,axiom,
( ~ pred_attacker(tuple_4(X0,X1,X2,X3))
| pred_attacker(X3) ) ).
cnf(u448,axiom,
( pred_attacker(constr_cbc_enc_1(name_Nb_62(X1),constr_tuple_2_get_0x30_bitstring(constr_cbc_dec_2(X0,name_Kbs))))
| ~ pred_attacker(tuple_client_B_in_1(X0)) ) ).
cnf(u411,axiom,
( ~ pred_attacker(constr_cbc_enc_2(X0,X2,X1))
| pred_attacker(constr_cbc_enc_1(X0,X1)) ) ).
cnf(u471,axiom,
( ~ pred_attacker(tuple_client_B_in_1(constr_cbc_enc_2(X0,X1,name_Kbs)))
| ~ pred_attacker(tuple_2(X0,X1)) ) ).
cnf(u766,axiom,
( ~ pred_attacker(tuple_client_A_in_2(constr_cbc_enc_4(X0,X1,X2,X3,name_Kas)))
| ~ pred_attacker(constr_cbc_enc_1(X4,X2))
| pred_attacker(tuple_succ(tuple_succ(X4)))
| ~ pred_attacker(X2) ) ).
cnf(u370,axiom,
( ~ pred_attacker(tuple_3(X0,X1,X2))
| pred_attacker(X1) ) ).
cnf(u313,axiom,
( pred_attacker(constr_tuple_4_get_0x30(X0))
| ~ pred_attacker(X0) ) ).
cnf(u710,axiom,
( ~ pred_attacker(tuple_client_A_in_2(constr_cbc_enc_4(X0,X1,X2,X3,name_Kas)))
| ~ pred_attacker(tuple_client_A_in_4(constr_cbc_enc_1(X4,X2)))
| pred_attacker(tuple_succ(X4))
| ~ pred_attacker(X2) ) ).
cnf(u293,axiom,
constr_cbc_dec_4(constr_cbc_enc_4(X1,X2,X3,X4,X0),X0) = tuple_4(X1,X2,X3,X4) ).
cnf(u373,axiom,
( ~ pred_attacker(tuple_2(X0,X1))
| pred_attacker(X0) ) ).
cnf(u257,axiom,
constr_CONST_2 != constr_CONST_3 ).
cnf(u489,axiom,
( ~ pred_attacker(constr_cbc_enc_4(X1,X2,X3,X0,name_Kas))
| pred_attacker(tuple_client_A_out_3(X0)) ) ).
cnf(u276,axiom,
constr_CONST_4 != name_Kbs ).
cnf(u288,axiom,
name_I != name_Kbs ).
cnf(u348,axiom,
( pred_attacker(constr_cbc_dec_4(X0,X1))
| ~ pred_attacker(X0)
| ~ pred_attacker(X1) ) ).
cnf(u283,axiom,
name_B != name_I ).
cnf(u343,axiom,
( ~ pred_attacker(tuple_client_A_in_2(X0))
| pred_attacker(X0) ) ).
cnf(u387,negated_conjecture,
~ pred_attacker(name_Kab_65(sK0)) ).
cnf(u415,axiom,
( ~ pred_attacker(constr_cbc_enc_3(X0,X1,X3,X2))
| pred_attacker(constr_cbc_enc_2(X0,X1,X2)) ) ).
cnf(u785,axiom,
( ~ pred_attacker(tuple_4(X0,X1,name_Kab_65(X2),constr_cbc_enc_2(name_Kab_65(X2),X3,name_Kbs)))
| ~ pred_attacker(tuple_server_S_in_1(X3,X1,X0)) ) ).
cnf(u239,axiom,
constr_CONST_0x30 != constr_CONST_2 ).
cnf(u251,axiom,
constr_CONST_1 != name_A ).
cnf(u302,axiom,
constr_cbc_enc_1(X1,X0) = constr_cbc_2_get_1_prefixes(constr_cbc_enc_2(X1,X2,X0)) ).
cnf(u314,axiom,
( pred_attacker(constr_tuple_2_get_1(X0))
| ~ pred_attacker(X0) ) ).
cnf(u374,axiom,
( ~ pred_attacker(tuple_2(X0,X1))
| pred_attacker(X1) ) ).
cnf(u317,axiom,
( pred_attacker(tuple_succ(X0))
| ~ pred_attacker(X0) ) ).
cnf(u242,axiom,
constr_CONST_0x30 != name_A ).
cnf(u697,axiom,
( ~ pred_attacker(constr_cbc_enc_4(X2,X3,X1,X4,name_Kas))
| pred_attacker(constr_cbc_enc_1(tuple_succ(X0),X1))
| ~ pred_attacker(tuple_client_A_in_4(constr_cbc_enc_1(X0,X1))) ) ).
cnf(u361,axiom,
pred_attacker(constr_CONST_1) ).
cnf(u490,axiom,
( ~ pred_attacker(constr_cbc_enc_2(X0,X1,name_Kbs))
| ~ pred_attacker(X0) ) ).
cnf(u346,axiom,
( pred_attacker(constr_cbc_enc_2(X0,X1,X2))
| ~ pred_attacker(X0)
| ~ pred_attacker(X1)
| ~ pred_attacker(X2) ) ).
cnf(u632,axiom,
( ~ pred_attacker(tuple_client_A_in_2(constr_cbc_enc_4(X0,X1,X2,X3,name_Kas)))
| pred_attacker(tuple_succ(constr_cbc_dec_1(X4,X2)))
| ~ pred_attacker(tuple_client_A_in_4(X4))
| ~ pred_attacker(X2) ) ).
cnf(u320,axiom,
( ~ pred_attacker(tuple_server_S_out_2(X0))
| pred_attacker(X0) ) ).
cnf(u264,axiom,
constr_CONST_2 != name_c ).
cnf(u324,axiom,
( ~ pred_attacker(tuple_server_S_in_1(X0,X1,X2))
| pred_attacker(X2) ) ).
cnf(u336,axiom,
( pred_attacker(tuple_client_A_out_1(X0,X1,X2))
| ~ pred_attacker(X0)
| ~ pred_attacker(X1)
| ~ pred_attacker(X2) ) ).
cnf(u287,axiom,
name_I != name_Kas ).
cnf(u496,axiom,
( ~ pred_attacker(tuple_server_S_in_1(X0,X1,X2))
| pred_attacker(constr_cbc_enc_2(X2,X1,name_Kas)) ) ).
cnf(u331,axiom,
( ~ pred_attacker(tuple_client_B_in_1(X0))
| pred_attacker(X0) ) ).
cnf(u250,axiom,
constr_CONST_1 != constr_CONST_4 ).
cnf(u744,axiom,
( ~ pred_attacker(constr_cbc_enc_4(X2,X3,X1,X4,name_Kas))
| pred_attacker(tuple_succ(X0))
| ~ pred_attacker(X1)
| ~ pred_attacker(tuple_client_A_in_4(constr_cbc_enc_1(X0,X1))) ) ).
cnf(u695,axiom,
( ~ pred_attacker(tuple_client_A_in_2(constr_cbc_enc_4(X0,X1,X2,X3,name_Kas)))
| pred_attacker(constr_cbc_enc_1(tuple_succ(X4),X2))
| ~ pred_attacker(constr_cbc_enc_1(X4,X2)) ) ).
cnf(u290,axiom,
name_Kas != name_Kbs ).
cnf(u730,axiom,
( ~ pred_attacker(constr_cbc_enc_4(X2,X3,X1,X4,name_Kas))
| ~ pred_attacker(X1)
| pred_attacker(X0)
| ~ pred_attacker(tuple_client_A_in_4(constr_cbc_enc_1(X0,X1))) ) ).
cnf(u350,axiom,
( pred_attacker(constr_cbc_dec_2(X0,X1))
| ~ pred_attacker(X0)
| ~ pred_attacker(X1) ) ).
cnf(u362,axiom,
pred_attacker(constr_CONST_0x30) ).
cnf(u305,axiom,
constr_tuple_2_get_0x30_bitstring(tuple_2(X0,X1)) = X0 ).
cnf(u246,axiom,
constr_CONST_0x30 != name_Kbs ).
cnf(u365,axiom,
( ~ pred_attacker(tuple_4(X0,X1,X2,X3))
| pred_attacker(X1) ) ).
cnf(u466,axiom,
( ~ pred_attacker(tuple_client_B_in_1(constr_cbc_enc_2(X0,X1,name_Kbs)))
| ~ pred_attacker(X0) ) ).
cnf(u469,axiom,
( ~ 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)) ) ).
cnf(u596,axiom,
( ~ pred_attacker(tuple_server_S_in_1(X1,X2,X3))
| pred_attacker(constr_cbc_enc_2(name_Kab_65(X0),X1,name_Kbs)) ) ).
cnf(u628,axiom,
( pred_attacker(constr_cbc_dec_1(X0,constr_tuple_4_get_2_bitstring(constr_cbc_dec_4(X1,name_Kas))))
| ~ pred_attacker(tuple_client_A_in_2(X1))
| ~ pred_attacker(constr_tuple_4_get_2_bitstring(constr_cbc_dec_4(X1,name_Kas)))
| ~ pred_attacker(tuple_client_A_in_4(X0)) ) ).
cnf(u268,axiom,
constr_CONST_3 != name_I ).
cnf(u263,axiom,
constr_CONST_2 != name_Kbs ).
cnf(u335,axiom,
( ~ pred_attacker(tuple_client_A_out_3(X0))
| pred_attacker(X0) ) ).
cnf(u495,axiom,
( ~ pred_attacker(tuple_server_S_in_1(X0,X1,X2))
| pred_attacker(constr_cbc_enc_3(X2,X1,name_Kab_65(X3),name_Kas)) ) ).
cnf(u507,axiom,
( ~ pred_attacker(tuple_client_A_in_4(constr_cbc_enc_1(X0,constr_tuple_4_get_2_bitstring(constr_cbc_dec_4(X1,name_Kas)))))
| ~ pred_attacker(tuple_client_A_in_2(X1))
| pred_attacker(constr_cbc_enc_1(tuple_succ(X0),constr_tuple_4_get_2_bitstring(constr_cbc_dec_4(X1,name_Kas)))) ) ).
cnf(u639,axiom,
( ~ pred_attacker(tuple_client_A_in_2(constr_cbc_enc_4(X0,X1,X2,X3,name_Kas)))
| ~ pred_attacker(tuple_client_A_in_4(constr_cbc_enc_1(X4,X2)))
| pred_attacker(constr_cbc_enc_1(tuple_succ(X4),X2)) ) ).
cnf(u294,axiom,
constr_cbc_dec_3(constr_cbc_enc_3(X1,X2,X3,X0),X0) = tuple_3(X1,X2,X3) ).
cnf(u692,axiom,
( ~ pred_attacker(constr_cbc_enc_1(X1,constr_tuple_4_get_2_bitstring(constr_cbc_dec_4(X0,name_Kas))))
| ~ pred_attacker(tuple_client_A_in_2(X0))
| pred_attacker(tuple_succ(X1))
| ~ pred_attacker(constr_tuple_4_get_2_bitstring(constr_cbc_dec_4(X0,name_Kas))) ) ).
cnf(u338,axiom,
( ~ pred_attacker(tuple_client_A_out_1(X0,X1,X2))
| pred_attacker(X1) ) ).
cnf(u281,axiom,
name_A != name_Kbs ).
cnf(u309,axiom,
pred_eq_bitstring_bitstring(X0,X1) ).
cnf(u341,axiom,
( ~ pred_attacker(tuple_client_A_in_4(X0))
| pred_attacker(X0) ) ).
cnf(u353,axiom,
( pred_attacker(constr_cbc_4_get_2_prefixes(X0))
| ~ pred_attacker(X0) ) ).
cnf(u413,axiom,
( ~ pred_attacker(constr_cbc_enc_3(X0,X2,X3,X1))
| pred_attacker(constr_cbc_enc_1(X0,X1)) ) ).
cnf(u690,axiom,
( ~ pred_attacker(constr_cbc_enc_4(X2,X3,X1,X4,name_Kas))
| ~ pred_attacker(tuple_client_A_in_4(X0))
| ~ pred_attacker(X1)
| pred_attacker(tuple_succ(constr_cbc_dec_1(X0,X1))) ) ).
cnf(u249,axiom,
constr_CONST_1 != constr_CONST_3 ).
cnf(u312,axiom,
( pred_attacker(constr_tuple_4_get_1(X0))
| ~ pred_attacker(X0) ) ).
cnf(u630,axiom,
( ~ pred_attacker(tuple_client_A_in_4(constr_cbc_enc_1(X0,constr_tuple_4_get_2_bitstring(constr_cbc_dec_4(X1,name_Kas)))))
| pred_attacker(tuple_succ(X0))
| ~ pred_attacker(tuple_client_A_in_2(X1))
| ~ pred_attacker(constr_tuple_4_get_2_bitstring(constr_cbc_dec_4(X1,name_Kas))) ) ).
cnf(u372,axiom,
( pred_attacker(tuple_2(X0,X1))
| ~ pred_attacker(X0)
| ~ pred_attacker(X1) ) ).
cnf(u307,axiom,
constr_tuple_4_get_0x30(tuple_4(X0,X1,X2,X3)) = X0 ).
cnf(u592,axiom,
( ~ 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(X4),X2)))
| ~ pred_attacker(tuple_client_A_in_4(constr_cbc_enc_1(X4,X2))) ) ).
cnf(u379,axiom,
pred_attacker(name_B) ).
cnf(u488,axiom,
( ~ pred_attacker(tuple_client_A_in_2(constr_cbc_enc_4(X0,X1,X2,X3,name_Kas)))
| pred_attacker(X3) ) ).
cnf(u483,axiom,
( pred_attacker(constr_cbc_enc_1(tuple_succ(constr_cbc_dec_1(X0,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(X0)) ) ).
cnf(u615,axiom,
( ~ pred_attacker(constr_cbc_enc_4(X2,X3,X1,X4,name_Kas))
| ~ pred_attacker(tuple_client_A_in_4(X0))
| pred_attacker(constr_cbc_enc_1(tuple_succ(constr_cbc_dec_1(X0,X1)),X1)) ) ).
cnf(u270,axiom,
constr_CONST_3 != name_Kbs ).
cnf(u282,axiom,
name_A != name_c ).
cnf(u342,axiom,
( pred_attacker(tuple_client_A_in_2(X0))
| ~ pred_attacker(X0) ) ).
cnf(u285,axiom,
name_B != name_Kbs ).
cnf(u291,axiom,
name_Kas != name_c ).
cnf(u238,axiom,
constr_CONST_0x30 != constr_CONST_1 ).
cnf(u329,axiom,
( ~ pred_attacker(tuple_client_B_in_3(X0))
| pred_attacker(X0) ) ).
cnf(u248,axiom,
constr_CONST_1 != constr_CONST_2 ).
cnf(u401,axiom,
pred_attacker(name_Na(X0)) ).
cnf(u253,axiom,
constr_CONST_1 != name_I ).
cnf(u316,axiom,
pred_attacker(tuple_true) ).
cnf(u360,axiom,
pred_attacker(constr_CONST_2) ).
cnf(u311,axiom,
( pred_attacker(constr_tuple_4_get_2_bitstring(X0))
| ~ pred_attacker(X0) ) ).
cnf(u244,axiom,
constr_CONST_0x30 != name_I ).
cnf(u729,axiom,
( ~ pred_attacker(tuple_client_A_in_2(constr_cbc_enc_4(X0,X1,X2,X3,name_Kas)))
| ~ pred_attacker(tuple_client_A_in_4(constr_cbc_enc_1(X4,X2)))
| ~ pred_attacker(X2)
| pred_attacker(X4) ) ).
cnf(u355,axiom,
( pred_attacker(constr_cbc_3_get_2_prefixes(X0))
| ~ pred_attacker(X0) ) ).
cnf(u772,axiom,
( ~ pred_attacker(constr_cbc_dec_4(X0,name_Kas))
| ~ pred_attacker(tuple_client_A_in_2(X0)) ) ).
cnf(u464,axiom,
( ~ pred_attacker(constr_cbc_dec_2(X0,name_Kbs))
| ~ pred_attacker(tuple_client_B_in_1(X0)) ) ).
cnf(u594,axiom,
( ~ pred_attacker(constr_cbc_enc_4(X1,X2,X3,X0,name_Kas))
| pred_attacker(X0) ) ).
cnf(u258,axiom,
constr_CONST_2 != constr_CONST_4 ).
cnf(u735,axiom,
( ~ pred_attacker(constr_cbc_enc_1(X1,constr_tuple_4_get_2_bitstring(constr_cbc_dec_4(X0,name_Kas))))
| pred_attacker(tuple_succ(tuple_succ(X1)))
| ~ pred_attacker(constr_tuple_4_get_2_bitstring(constr_cbc_dec_4(X0,name_Kas)))
| ~ pred_attacker(tuple_client_A_in_2(X0)) ) ).
cnf(u261,axiom,
constr_CONST_2 != name_I ).
cnf(u273,axiom,
constr_CONST_4 != name_B ).
cnf(u333,axiom,
( ~ pred_attacker(tuple_client_A_out_5(X0))
| pred_attacker(X0) ) ).
cnf(u636,axiom,
( pred_attacker(constr_cbc_enc_1(tuple_succ(X1),constr_tuple_4_get_2_bitstring(constr_cbc_dec_4(X0,name_Kas))))
| ~ pred_attacker(tuple_client_A_in_2(X0))
| ~ pred_attacker(constr_cbc_enc_1(X1,constr_tuple_4_get_2_bitstring(constr_cbc_dec_4(X0,name_Kas)))) ) ).
cnf(u292,axiom,
name_Kbs != name_c ).
cnf(u304,axiom,
constr_tuple_4_get_2_bitstring(tuple_4(X0,X1,X2,X3)) = X2 ).
cnf(u364,axiom,
( ~ pred_attacker(tuple_4(X0,X1,X2,X3))
| pred_attacker(X0) ) ).
cnf(u299,axiom,
constr_cbc_enc_1(X1,X0) = constr_cbc_4_get_1_prefixes(constr_cbc_enc_4(X1,X2,X3,X4,X0)) ).
cnf(u408,axiom,
( ~ pred_attacker(constr_cbc_enc_1(X0,X1))
| pred_attacker(X0)
| ~ pred_attacker(X1) ) ).
cnf(u359,axiom,
pred_attacker(constr_CONST_3) ).
cnf(u431,axiom,
( ~ pred_attacker(constr_cbc_enc_4(X0,X1,X3,X4,X2))
| pred_attacker(constr_cbc_enc_2(X0,X1,X2)) ) ).
cnf(u463,axiom,
( 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)) ) ).
cnf(u255,axiom,
constr_CONST_1 != name_Kbs ).
cnf(u598,axiom,
( ~ pred_attacker(tuple_server_S_in_1(X1,X2,X3))
| pred_attacker(tuple_client_A_out_3(constr_cbc_enc_2(name_Kab_65(X0),X1,name_Kbs))) ) ).
cnf(u318,axiom,
( ~ pred_attacker(tuple_succ(X0))
| pred_attacker(X0) ) ).
cnf(u262,axiom,
constr_CONST_2 != name_Kas ).
cnf(u377,axiom,
pred_attacker(name_c) ).
cnf(u506,axiom,
( pred_attacker(tuple_succ(constr_cbc_dec_1(X1,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))
| ~ pred_attacker(constr_tuple_4_get_2_bitstring(constr_cbc_dec_4(X0,name_Kas))) ) ).
cnf(u321,axiom,
( pred_attacker(tuple_server_S_in_1(X0,X1,X2))
| ~ pred_attacker(X0)
| ~ pred_attacker(X1)
| ~ pred_attacker(X2) ) ).
cnf(u509,axiom,
( ~ pred_attacker(tuple_client_A_in_2(constr_cbc_enc_4(X0,X1,X2,X3,name_Kas)))
| pred_attacker(constr_cbc_enc_1(tuple_succ(constr_cbc_dec_1(X4,X2)),X2))
| ~ pred_attacker(tuple_client_A_in_4(X4)) ) ).
cnf(u280,axiom,
name_A != name_Kas ).
cnf(u340,axiom,
( pred_attacker(tuple_client_A_in_4(X0))
| ~ pred_attacker(X0) ) ).
cnf(u275,axiom,
constr_CONST_4 != name_Kas ).
cnf(u303,axiom,
constr_tuple_4_get_3_bitstring(tuple_4(X0,X1,X2,X3)) = X3 ).
cnf(u412,axiom,
( ~ pred_attacker(constr_cbc_enc_2(X0,X1,X2))
| pred_attacker(tuple_2(X0,X1))
| ~ pred_attacker(X2) ) ).
cnf(u347,axiom,
( pred_attacker(constr_cbc_enc_1(X0,X1))
| ~ pred_attacker(X0)
| ~ pred_attacker(X1) ) ).
cnf(u451,axiom,
( pred_attacker(constr_cbc_enc_4(X2,X1,name_Kab_65(X3),constr_cbc_enc_2(name_Kab_65(X3),X0,name_Kbs),name_Kas))
| ~ pred_attacker(tuple_server_S_in_1(X0,X1,X2)) ) ).
cnf(u243,axiom,
constr_CONST_0x30 != name_B ).
cnf(u306,axiom,
constr_tuple_4_get_1(tuple_4(X0,X1,X2,X3)) = X1 ).
cnf(u366,axiom,
( ~ pred_attacker(tuple_4(X0,X1,X2,X3))
| pred_attacker(X2) ) ).
cnf(u378,axiom,
pred_attacker(name_I) ).
cnf(u433,axiom,
( ~ pred_attacker(constr_cbc_enc_4(X0,X1,X2,X3,X4))
| pred_attacker(tuple_4(X0,X1,X2,X3))
| ~ pred_attacker(X4) ) ).
cnf(u381,axiom,
pred_attacker(name_new0x2Dname(X0)) ).
cnf(u482,axiom,
( 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_4(X2))
| ~ pred_attacker(tuple_client_A_in_2(X1)) ) ).
cnf(u386,axiom,
( pred_attacker(tuple_server_S_out_2(constr_cbc_enc_4(X3,X2,name_Kab_65(X0),constr_cbc_enc_2(name_Kab_65(X0),X1,name_Kbs),name_Kas)))
| ~ pred_attacker(tuple_server_S_in_1(X1,X2,X3)) ) ).
cnf(u497,axiom,
( ~ pred_attacker(tuple_server_S_in_1(X0,X1,X2))
| pred_attacker(constr_cbc_enc_1(X2,name_Kas)) ) ).
cnf(u284,axiom,
name_B != name_Kas ).
cnf(u328,axiom,
( pred_attacker(tuple_client_B_in_3(X0))
| ~ pred_attacker(X0) ) ).
cnf(u279,axiom,
name_A != name_I ).
cnf(u323,axiom,
( ~ pred_attacker(tuple_server_S_in_1(X0,X1,X2))
| pred_attacker(X1) ) ).
cnf(u351,axiom,
( pred_attacker(constr_cbc_dec_1(X0,X1))
| ~ pred_attacker(X0)
| ~ pred_attacker(X1) ) ).
cnf(u518,axiom,
( ~ pred_attacker(constr_cbc_enc_4(X2,X3,X1,X4,name_Kas))
| pred_attacker(tuple_client_A_out_5(constr_cbc_enc_1(tuple_succ(constr_cbc_dec_1(X0,X1)),X1)))
| ~ pred_attacker(tuple_client_A_in_4(X0)) ) ).
cnf(u247,axiom,
constr_CONST_0x30 != name_c ).
cnf(u699,axiom,
( ~ pred_attacker(tuple_client_A_in_4(constr_cbc_enc_1(X0,name_Kab_65(X1))))
| pred_attacker(constr_cbc_enc_1(tuple_succ(X0),name_Kab_65(X1))) ) ).
cnf(u310,axiom,
( pred_attacker(constr_tuple_4_get_3_bitstring(X0))
| ~ pred_attacker(X0) ) ).
cnf(u259,axiom,
constr_CONST_2 != name_A ).
cnf(u354,axiom,
( pred_attacker(constr_cbc_4_get_1_prefixes(X0))
| ~ pred_attacker(X0) ) ).
cnf(u297,axiom,
constr_cbc_enc_3(X1,X2,X3,X0) = constr_cbc_4_get_3_prefixes(constr_cbc_enc_4(X1,X2,X3,X4,X0)) ).
cnf(u414,axiom,
( ~ pred_attacker(constr_cbc_enc_4(X0,X2,X3,X4,X1))
| pred_attacker(constr_cbc_enc_1(X0,X1)) ) ).
cnf(u357,axiom,
( pred_attacker(constr_cbc_2_get_1_prefixes(X0))
| ~ pred_attacker(X0) ) ).
cnf(u369,axiom,
( ~ pred_attacker(tuple_3(X0,X1,X2))
| pred_attacker(X0) ) ).
cnf(u486,axiom,
( ~ 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(tuple_client_A_out_5(constr_cbc_enc_1(tuple_succ(constr_cbc_dec_1(X4,X2)),X2))) ) ).
cnf(u260,axiom,
constr_CONST_2 != name_B ).
cnf(u272,axiom,
constr_CONST_4 != name_A ).
cnf(u432,axiom,
( ~ pred_attacker(constr_cbc_enc_4(X0,X1,X2,X4,X3))
| pred_attacker(constr_cbc_enc_3(X0,X1,X2,X3)) ) ).
cnf(u332,axiom,
( pred_attacker(tuple_client_A_out_5(X0))
| ~ pred_attacker(X0) ) ).
cnf(u267,axiom,
constr_CONST_3 != name_B ).
cnf(u668,axiom,
( ~ pred_attacker(constr_cbc_enc_4(X2,X3,X1,X4,name_Kas))
| ~ pred_attacker(tuple_client_A_in_4(constr_cbc_enc_1(X0,X1)))
| pred_attacker(tuple_client_A_out_5(constr_cbc_enc_1(tuple_succ(X0),X1))) ) ).
cnf(u327,axiom,
( ~ pred_attacker(tuple_client_B_out_2(X0))
| pred_attacker(X0) ) ).
cnf(u779,axiom,
( ~ pred_attacker(constr_cbc_enc_4(X1,X2,X0,X3,name_Kas))
| ~ pred_attacker(X0) ) ).
cnf(u286,axiom,
name_B != name_c ).
cnf(u298,axiom,
constr_cbc_enc_2(X1,X2,X0) = constr_cbc_4_get_2_prefixes(constr_cbc_enc_4(X1,X2,X3,X4,X0)) ).
cnf(u721,axiom,
( ~ pred_attacker(constr_cbc_enc_4(X2,X3,X1,X4,name_Kas))
| ~ pred_attacker(constr_cbc_enc_1(X0,X1))
| pred_attacker(constr_cbc_enc_1(tuple_succ(X0),X1)) ) ).
cnf(u358,axiom,
pred_attacker(constr_CONST_4) ).
cnf(u301,axiom,
constr_cbc_enc_1(X1,X0) = constr_cbc_3_get_1_prefixes(constr_cbc_enc_3(X1,X2,X3,X0)) ).
cnf(u254,axiom,
constr_CONST_1 != name_Kas ).
cnf(u345,axiom,
( pred_attacker(constr_cbc_enc_3(X0,X1,X2,X3))
| ~ pred_attacker(X0)
| ~ pred_attacker(X1)
| ~ pred_attacker(X2)
| ~ pred_attacker(X3) ) ).
cnf(u604,axiom,
( ~ pred_attacker(constr_cbc_enc_2(X1,X2,name_Kbs))
| pred_attacker(constr_cbc_enc_1(name_Nb_62(X0),X1)) ) ).
cnf(u241,axiom,
constr_CONST_0x30 != constr_CONST_4 ).
cnf(u376,axiom,
( pred_mess(X1,X0)
| ~ pred_attacker(X1)
| ~ pred_attacker(X0) ) ).
cnf(u371,axiom,
( ~ pred_attacker(tuple_3(X0,X1,X2))
| pred_attacker(X2) ) ).
cnf(u271,axiom,
constr_CONST_3 != name_c ).
cnf(u330,axiom,
( pred_attacker(tuple_client_B_in_1(X0))
| ~ pred_attacker(X0) ) ).
cnf(u783,axiom,
( ~ pred_attacker(constr_cbc_enc_4(X0,X1,X2,X3,name_Kas))
| ~ pred_attacker(tuple_4(X0,X1,X2,X3)) ) ).
cnf(u774,axiom,
( ~ pred_attacker(tuple_client_A_in_2(constr_cbc_enc_4(X0,X1,X2,X3,name_Kas)))
| ~ pred_attacker(X2) ) ).
cnf(u274,axiom,
constr_CONST_4 != name_I ).
cnf(u256,axiom,
constr_CONST_1 != name_c ).
cnf(u743,axiom,
( ~ pred_attacker(constr_cbc_enc_4(X2,X3,X1,X4,name_Kas))
| ~ pred_attacker(X1)
| pred_attacker(tuple_succ(X0))
| ~ pred_attacker(constr_cbc_enc_1(X0,X1)) ) ).
cnf(u334,axiom,
( pred_attacker(tuple_client_A_out_3(X0))
| ~ pred_attacker(X0) ) ).
cnf(u277,axiom,
constr_CONST_4 != name_c ).
cnf(u289,axiom,
name_I != name_c ).
cnf(u349,axiom,
( pred_attacker(constr_cbc_dec_3(X0,X1))
| ~ pred_attacker(X0)
| ~ pred_attacker(X1) ) ).
cnf(u450,axiom,
( ~ 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_62(X2),X0))) ) ).
cnf(u777,axiom,
( ~ pred_attacker(tuple_client_A_in_2(constr_cbc_enc_4(X0,X1,X2,X3,name_Kas)))
| ~ pred_attacker(tuple_4(X0,X1,X2,X3)) ) ).
cnf(u245,axiom,
constr_CONST_0x30 != name_Kas ).
cnf(u686,axiom,
( ~ pred_attacker(tuple_client_A_in_4(constr_cbc_enc_1(X0,constr_tuple_4_get_2_bitstring(constr_cbc_dec_4(X1,name_Kas)))))
| ~ pred_attacker(tuple_client_A_in_2(X1))
| ~ pred_attacker(constr_tuple_4_get_2_bitstring(constr_cbc_dec_4(X1,name_Kas)))
| pred_attacker(X0) ) ).
cnf(u308,axiom,
constr_tuple_2_get_1(tuple_2(X0,X1)) = X1 ).
cnf(u688,axiom,
( ~ pred_attacker(tuple_client_A_in_2(constr_cbc_enc_4(X0,X1,X2,X3,name_Kas)))
| pred_attacker(constr_cbc_dec_1(X4,X2))
| ~ pred_attacker(X2)
| ~ pred_attacker(tuple_client_A_in_4(X4)) ) ).
cnf(u380,axiom,
pred_attacker(name_A) ).
cnf(u315,axiom,
( pred_attacker(constr_tuple_2_get_0x30_bitstring(X0))
| ~ pred_attacker(X0) ) ).
cnf(u352,axiom,
( pred_attacker(constr_cbc_4_get_3_prefixes(X0))
| ~ pred_attacker(X0) ) ).
cnf(u375,axiom,
( ~ pred_mess(X1,X0)
| pred_attacker(X0)
| ~ pred_attacker(X1) ) ).
cnf(u484,axiom,
( pred_attacker(tuple_client_A_out_5(constr_cbc_enc_1(tuple_succ(X0),constr_tuple_4_get_2_bitstring(constr_cbc_dec_4(X1,name_Kas)))))
| ~ pred_attacker(tuple_client_A_in_4(constr_cbc_enc_1(X0,constr_tuple_4_get_2_bitstring(constr_cbc_dec_4(X1,name_Kas)))))
| ~ pred_attacker(tuple_client_A_in_2(X1)) ) ).
cnf(u447,axiom,
( pred_attacker(tuple_client_B_out_2(constr_cbc_enc_1(name_Nb_62(X0),constr_tuple_2_get_0x30_bitstring(constr_cbc_dec_2(X1,name_Kbs)))))
| ~ pred_attacker(tuple_client_B_in_1(X1)) ) ).
cnf(u771,axiom,
( ~ pred_attacker(tuple_client_A_in_2(constr_cbc_enc_4(X0,X1,X2,X3,name_Kas)))
| pred_attacker(tuple_succ(tuple_succ(constr_cbc_dec_1(X4,X2))))
| ~ pred_attacker(X2)
| ~ pred_attacker(tuple_client_A_in_4(X4)) ) ).
cnf(u491,axiom,
( ~ pred_attacker(constr_cbc_enc_2(X1,X2,name_Kbs))
| pred_attacker(tuple_client_B_out_2(constr_cbc_enc_1(name_Nb_62(X0),X1))) ) ).
cnf(u614,axiom,
( ~ pred_attacker(constr_cbc_enc_2(X0,X1,name_Kbs))
| ~ pred_attacker(tuple_2(X0,X1)) ) ).
cnf(u667,axiom,
~ pred_attacker(tuple_2(name_Kab_65(X1),X0)) ).
cnf(u278,axiom,
name_A != name_B ).
cnf(u739,axiom,
( ~ pred_attacker(tuple_client_A_in_2(constr_cbc_enc_4(X0,X1,X2,X3,name_Kas)))
| ~ pred_attacker(constr_cbc_enc_1(X4,X2))
| ~ pred_attacker(X2)
| pred_attacker(tuple_succ(X4)) ) ).
cnf(u322,axiom,
( ~ pred_attacker(tuple_server_S_in_1(X0,X1,X2))
| pred_attacker(X0) ) ).
cnf(u265,axiom,
constr_CONST_3 != constr_CONST_4 ).
cnf(u325,axiom,
pred_attacker(tuple_false) ).
cnf(u337,axiom,
( ~ pred_attacker(tuple_client_A_out_1(X0,X1,X2))
| pred_attacker(X0) ) ).
cnf(u454,axiom,
( ~ pred_attacker(tuple_client_B_in_1(constr_cbc_enc_2(X0,X1,name_Kbs)))
| pred_attacker(constr_cbc_enc_1(name_Nb_62(X2),X0)) ) ).
cnf(u296,axiom,
constr_cbc_dec_1(constr_cbc_enc_1(X1,X0),X0) = X1 ).
cnf(u356,axiom,
( pred_attacker(constr_cbc_3_get_1_prefixes(X0))
| ~ pred_attacker(X0) ) ).
cnf(u368,axiom,
( pred_attacker(tuple_3(X0,X1,X2))
| ~ pred_attacker(X0)
| ~ pred_attacker(X1)
| ~ pred_attacker(X2) ) ).
cnf(u319,axiom,
( pred_attacker(tuple_server_S_out_2(X0))
| ~ pred_attacker(X0) ) ).
cnf(u252,axiom,
constr_CONST_1 != name_B ).
cnf(u428,axiom,
( ~ pred_attacker(constr_cbc_enc_3(X0,X1,X2,X3))
| pred_attacker(tuple_3(X0,X1,X2))
| ~ pred_attacker(X3) ) ).
cnf(u363,axiom,
( pred_attacker(tuple_4(X0,X1,X2,X3))
| ~ pred_attacker(X0)
| ~ pred_attacker(X1)
| ~ pred_attacker(X2)
| ~ pred_attacker(X3) ) ).
cnf(u467,axiom,
( pred_attacker(constr_tuple_4_get_3_bitstring(constr_cbc_dec_4(X0,name_Kas)))
| ~ pred_attacker(tuple_client_A_in_2(X0)) ) ).
cnf(u736,axiom,
( pred_attacker(tuple_succ(tuple_succ(constr_cbc_dec_1(X1,constr_tuple_4_get_2_bitstring(constr_cbc_dec_4(X0,name_Kas))))))
| ~ pred_attacker(tuple_client_A_in_2(X0))
| ~ pred_attacker(constr_tuple_4_get_2_bitstring(constr_cbc_dec_4(X0,name_Kas)))
| ~ pred_attacker(tuple_client_A_in_4(X1)) ) ).
cnf(u382,axiom,
pred_attacker(tuple_client_A_out_1(name_A,name_B,name_Na(X0))) ).
cnf(u266,axiom,
constr_CONST_3 != name_A ).
cnf(u706,axiom,
( pred_attacker(constr_cbc_enc_1(tuple_succ(X0),name_Kab_65(X1)))
| ~ pred_attacker(constr_cbc_enc_1(X0,name_Kab_65(X1))) ) ).
cnf(u326,axiom,
( pred_attacker(tuple_client_B_out_2(X0))
| ~ pred_attacker(X0) ) ).
cnf(u269,axiom,
constr_CONST_3 != name_Kas ).
cnf(u300,axiom,
constr_cbc_enc_2(X1,X2,X0) = constr_cbc_3_get_2_prefixes(constr_cbc_enc_3(X1,X2,X3,X0)) ).
cnf(u714,axiom,
( ~ pred_attacker(constr_cbc_enc_4(X2,X3,X1,X4,name_Kas))
| ~ pred_attacker(X1)
| ~ pred_attacker(tuple_client_A_in_4(X0))
| pred_attacker(constr_cbc_dec_1(X0,X1)) ) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWW969+1 : TPTP v9.3.1. Released v7.4.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.08/0.19 % Computer : n002.cluster.edu
% 0.08/0.19 % Model : x86_64 x86_64
% 0.08/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.19 % Memory : 8046.5625MB
% 0.08/0.19 % OS : Linux 6.8.0-71-generic
% 0.08/0.19 % CPULimit : 300
% 0.08/0.19 % WCLimit : 300
% 0.08/0.19 % DateTime : Mon Sep 28 14:52:22 UTC 2026
% 0.08/0.19 % CPUTime :
% 0.08/0.19 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.08/0.23 Running first-order model finding
% 0.08/0.23 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
% 0.20/0.28 % (402704)Will run a generic schedule for satisfiability detection.
% 0.20/0.28 % (402712)dis+10_1_sil=32000:sp=arity:random_seed=4078771638:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.20/0.28 % (402710)% WARNING: option uhcvi not known.
% 0.20/0.28 % (402709)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=801966649_2999 on theBenchmark for (2999ds/0Mi)
% 0.20/0.28 % (402710)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=637296143:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.20/0.28 % (402711)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2907027185:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.20/0.28 % (402713)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1486788683:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.20/0.28 % (402715)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=494069767:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.20/0.28 % (402714)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2264193482:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.20/0.28 % (402712) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-402704-402712"...
% 0.20/0.28 % (402712)...printing done.
% 0.20/0.28 % Detected minimum model sizes of [11]
% 0.20/0.28 % Detected maximum model sizes of [max]
% 0.20/0.28 % TRYING [11]
% 0.20/0.28 % SZS status CounterSatisfiable for theBenchmark
% 0.20/0.28 % SZS output start Saturation.
% See solution above
% 0.20/0.29 % SZS output start Definitions and Model Updates.
% 0.20/0.29 for all inputs,
% 0.20/0.29 define pred_equal(X0,X1) := $true
% 0.20/0.29 % SZS output end Definitions and Model Updates.
% 0.20/0.29 % (402712)------------------------------
% 0.20/0.29 % (402712)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.20/0.29 % (402712)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/0.29 % (402712)CaDiCaL version: 2.1.3
% 0.20/0.29 % (402712)Termination reason: Satisfiable
% 0.20/0.29 % (402712)Time elapsed: 0.010 s
% 0.20/0.29 % (402712)Peak memory usage: 12 MB
% 0.20/0.29 % (402712)Instructions burned: 27 (million)
% 0.20/0.29 % (402704)Success in time 0.048 s
% 0.20/0.29 % Vampire exiting
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