%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SWW960+1 : TPTP v9.3.1. Released v7.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n011.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 01:45:15 PM UTC 2026
% Result : Theorem 0.33s 0.46s
% Output : Refutation 0.33s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 45
% Syntax : Number of formulae : 214 ( 44 unt; 15 def)
% Number of atoms : 545 ( 43 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 627 ( 296 ~; 278 |; 18 &)
% ( 15 <=>; 20 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 4 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 20 ( 18 usr; 16 prp; 0-2 aty)
% Number of functors : 33 ( 33 usr; 9 con; 0-2 aty)
% Number of variables : 250 ( 0 sgn 249 !; 1 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f5,axiom,
constr_CONST_0x30 != name_A,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax4) ).
fof(f6,axiom,
constr_CONST_0x30 != name_B,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax5) ).
fof(f79,axiom,
! [X0,X1] : constr_adec(constr_aenc(X1,constr_pkey(X0)),X0) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax78) ).
fof(f82,axiom,
! [X0,X1] : constr_checksign(constr_sign(X1,X0),constr_pkey(X0)) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax81) ).
fof(f83,axiom,
! [X0,X1] : constr_tuple_2_get_1_bitstring(tuple_2(X0,X1)) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax82) ).
fof(f87,axiom,
! [X0,X1] : pred_eq_bitstring_bitstring(X0,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax86) ).
fof(f94,axiom,
! [X0] :
( pred_attacker(X0)
=> pred_attacker(constr_pkey(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax93) ).
fof(f102,axiom,
! [X0] :
( pred_attacker(tuple_key_retrieval_server_out_2(X0))
=> pred_attacker(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax101) ).
fof(f103,axiom,
! [X0,X1] :
( ( pred_attacker(X0)
& pred_attacker(X1) )
=> pred_attacker(tuple_key_retrieval_server_in_1(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax102) ).
fof(f106,axiom,
! [X0,X1] :
( ( pred_attacker(X0)
& pred_attacker(X1) )
=> pred_attacker(tuple_key_register_server_in_1(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax105) ).
fof(f107,axiom,
! [X0,X1] :
( pred_attacker(tuple_key_register_server_in_1(X0,X1))
=> pred_attacker(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax106) ).
fof(f114,axiom,
! [X0] :
( pred_attacker(tuple_client_B_out_6(X0))
=> pred_attacker(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax113) ).
fof(f116,axiom,
! [X0] :
( pred_attacker(tuple_client_B_out_4(X0))
=> pred_attacker(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax115) ).
fof(f120,axiom,
! [X0] :
( pred_attacker(X0)
=> pred_attacker(tuple_client_B_in_5(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax119) ).
fof(f122,axiom,
! [X0] :
( pred_attacker(X0)
=> pred_attacker(tuple_client_B_in_3(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax121) ).
fof(f124,axiom,
! [X0] :
( pred_attacker(X0)
=> pred_attacker(tuple_client_B_in_2(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax123) ).
fof(f127,axiom,
! [X0] :
( pred_attacker(tuple_client_A_out_5(X0))
=> pred_attacker(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax126) ).
fof(f133,axiom,
! [X0] :
( pred_attacker(X0)
=> pred_attacker(tuple_client_A_in_4(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax132) ).
fof(f135,axiom,
! [X0] :
( pred_attacker(X0)
=> pred_attacker(tuple_client_A_in_2(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax134) ).
fof(f139,axiom,
! [X0,X1] :
( ( pred_attacker(X0)
& pred_attacker(X1) )
=> pred_attacker(constr_adec(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax138) ).
fof(f144,axiom,
pred_attacker(constr_CONST_0x30),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax143) ).
fof(f145,axiom,
! [X0,X1] :
( ( pred_attacker(X0)
& pred_attacker(X1) )
=> pred_attacker(tuple_2(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax144) ).
fof(f153,axiom,
pred_attacker(name_A),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax152) ).
fof(f156,axiom,
pred_table(tuple_keys(name_A,constr_pkey(name_skA))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax155) ).
fof(f163,axiom,
! [X0,X1,X2] :
( ( pred_eq_bitstring_bitstring(name_Na(X0),constr_tuple_2_get_0x30(constr_adec(X1,name_skA)))
& pred_attacker(tuple_client_A_in_4(X1))
& pred_eq_bitstring_bitstring(name_I,constr_tuple_2_get_0x30(constr_checksign(X2,constr_pkey(name_skS))))
& pred_attacker(tuple_client_A_in_2(X2)) )
=> pred_attacker(tuple_client_A_out_5(constr_aenc(constr_tuple_2_get_1_bitstring(constr_adec(X1,name_skA)),constr_tuple_2_get_1_bitstring(constr_checksign(X2,constr_pkey(name_skS)))))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax162) ).
fof(f165,axiom,
! [X0,X1,X2] :
( ( pred_eq_bitstring_bitstring(name_A,constr_tuple_2_get_1(constr_adec(X1,name_skB)))
& pred_attacker(tuple_client_B_in_3(X1))
& pred_eq_bitstring_bitstring(name_A,constr_tuple_2_get_0x30(constr_checksign(X2,constr_pkey(name_skS))))
& pred_attacker(tuple_client_B_in_2(X2)) )
=> pred_attacker(tuple_client_B_out_4(constr_aenc(tuple_2(constr_tuple_2_get_0x30_bitstring(constr_adec(X1,name_skB)),name_Nb(X0)),constr_tuple_2_get_1_bitstring(constr_checksign(X2,constr_pkey(name_skS)))))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax164) ).
fof(f166,axiom,
! [X0,X1,X2,X3] :
( ( pred_eq_bitstring_bitstring(name_Nb(X0),constr_adec(X2,name_skB))
& pred_attacker(tuple_client_B_in_5(X2))
& pred_eq_bitstring_bitstring(name_A,constr_tuple_2_get_1(constr_adec(X1,name_skB)))
& pred_attacker(tuple_client_B_in_3(X1))
& pred_eq_bitstring_bitstring(name_A,constr_tuple_2_get_0x30(constr_checksign(X3,constr_pkey(name_skS))))
& pred_attacker(tuple_client_B_in_2(X3)) )
=> pred_attacker(tuple_client_B_out_6(name_objective)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax165) ).
fof(f167,axiom,
! [X0,X1,X2] :
( ( pred_table(tuple_keys(X0,X1))
& pred_attacker(tuple_key_retrieval_server_in_1(X2,X0)) )
=> pred_attacker(tuple_key_retrieval_server_out_2(constr_sign(tuple_2(X0,X1),name_skS))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax166) ).
fof(f168,axiom,
! [X0,X1] :
( ( X0 != name_B
& X0 != name_A
& pred_attacker(tuple_key_register_server_in_1(X0,X1)) )
=> pred_table(tuple_keys(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax167) ).
fof(f169,conjecture,
! [X0] : pred_attacker(tuple_2(name_Nb(X0),name_objective)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co0) ).
fof(f170,negated_conjecture,
~ ! [X0] : pred_attacker(tuple_2(name_Nb(X0),name_objective)),
inference(negated_conjecture,[status(cth)],[f169]) ).
fof(f178,plain,
! [X0] :
( pred_attacker(constr_pkey(X0))
| ~ pred_attacker(X0) ),
inference(ennf_transformation,[],[f94]) ).
fof(f186,plain,
! [X0] :
( pred_attacker(X0)
| ~ pred_attacker(tuple_key_retrieval_server_out_2(X0)) ),
inference(ennf_transformation,[],[f102]) ).
fof(f187,plain,
! [X0,X1] :
( pred_attacker(tuple_key_retrieval_server_in_1(X0,X1))
| ~ pred_attacker(X0)
| ~ pred_attacker(X1) ),
inference(ennf_transformation,[],[f103]) ).
fof(f188,plain,
! [X0,X1] :
( pred_attacker(tuple_key_retrieval_server_in_1(X0,X1))
| ~ pred_attacker(X0)
| ~ pred_attacker(X1) ),
inference(flattening,[],[f187]) ).
fof(f191,plain,
! [X0,X1] :
( pred_attacker(tuple_key_register_server_in_1(X0,X1))
| ~ pred_attacker(X0)
| ~ pred_attacker(X1) ),
inference(ennf_transformation,[],[f106]) ).
fof(f192,plain,
! [X0,X1] :
( pred_attacker(tuple_key_register_server_in_1(X0,X1))
| ~ pred_attacker(X0)
| ~ pred_attacker(X1) ),
inference(flattening,[],[f191]) ).
fof(f193,plain,
! [X0,X1] :
( pred_attacker(X0)
| ~ pred_attacker(tuple_key_register_server_in_1(X0,X1)) ),
inference(ennf_transformation,[],[f107]) ).
fof(f201,plain,
! [X0] :
( pred_attacker(X0)
| ~ pred_attacker(tuple_client_B_out_6(X0)) ),
inference(ennf_transformation,[],[f114]) ).
fof(f203,plain,
! [X0] :
( pred_attacker(X0)
| ~ pred_attacker(tuple_client_B_out_4(X0)) ),
inference(ennf_transformation,[],[f116]) ).
fof(f208,plain,
! [X0] :
( pred_attacker(tuple_client_B_in_5(X0))
| ~ pred_attacker(X0) ),
inference(ennf_transformation,[],[f120]) ).
fof(f210,plain,
! [X0] :
( pred_attacker(tuple_client_B_in_3(X0))
| ~ pred_attacker(X0) ),
inference(ennf_transformation,[],[f122]) ).
fof(f212,plain,
! [X0] :
( pred_attacker(tuple_client_B_in_2(X0))
| ~ pred_attacker(X0) ),
inference(ennf_transformation,[],[f124]) ).
fof(f215,plain,
! [X0] :
( pred_attacker(X0)
| ~ pred_attacker(tuple_client_A_out_5(X0)) ),
inference(ennf_transformation,[],[f127]) ).
fof(f222,plain,
! [X0] :
( pred_attacker(tuple_client_A_in_4(X0))
| ~ pred_attacker(X0) ),
inference(ennf_transformation,[],[f133]) ).
fof(f224,plain,
! [X0] :
( pred_attacker(tuple_client_A_in_2(X0))
| ~ pred_attacker(X0) ),
inference(ennf_transformation,[],[f135]) ).
fof(f230,plain,
! [X0,X1] :
( pred_attacker(constr_adec(X0,X1))
| ~ pred_attacker(X0)
| ~ pred_attacker(X1) ),
inference(ennf_transformation,[],[f139]) ).
fof(f231,plain,
! [X0,X1] :
( pred_attacker(constr_adec(X0,X1))
| ~ pred_attacker(X0)
| ~ pred_attacker(X1) ),
inference(flattening,[],[f230]) ).
fof(f232,plain,
! [X0,X1] :
( pred_attacker(tuple_2(X0,X1))
| ~ pred_attacker(X0)
| ~ pred_attacker(X1) ),
inference(ennf_transformation,[],[f145]) ).
fof(f233,plain,
! [X0,X1] :
( pred_attacker(tuple_2(X0,X1))
| ~ pred_attacker(X0)
| ~ pred_attacker(X1) ),
inference(flattening,[],[f232]) ).
fof(f242,plain,
! [X0,X1,X2] :
( pred_attacker(tuple_client_A_out_5(constr_aenc(constr_tuple_2_get_1_bitstring(constr_adec(X1,name_skA)),constr_tuple_2_get_1_bitstring(constr_checksign(X2,constr_pkey(name_skS))))))
| ~ pred_eq_bitstring_bitstring(name_Na(X0),constr_tuple_2_get_0x30(constr_adec(X1,name_skA)))
| ~ pred_attacker(tuple_client_A_in_4(X1))
| ~ pred_eq_bitstring_bitstring(name_I,constr_tuple_2_get_0x30(constr_checksign(X2,constr_pkey(name_skS))))
| ~ pred_attacker(tuple_client_A_in_2(X2)) ),
inference(ennf_transformation,[],[f163]) ).
fof(f243,plain,
! [X0,X1,X2] :
( pred_attacker(tuple_client_A_out_5(constr_aenc(constr_tuple_2_get_1_bitstring(constr_adec(X1,name_skA)),constr_tuple_2_get_1_bitstring(constr_checksign(X2,constr_pkey(name_skS))))))
| ~ pred_eq_bitstring_bitstring(name_Na(X0),constr_tuple_2_get_0x30(constr_adec(X1,name_skA)))
| ~ pred_attacker(tuple_client_A_in_4(X1))
| ~ pred_eq_bitstring_bitstring(name_I,constr_tuple_2_get_0x30(constr_checksign(X2,constr_pkey(name_skS))))
| ~ pred_attacker(tuple_client_A_in_2(X2)) ),
inference(flattening,[],[f242]) ).
fof(f244,plain,
! [X0,X1,X2] :
( pred_attacker(tuple_client_B_out_4(constr_aenc(tuple_2(constr_tuple_2_get_0x30_bitstring(constr_adec(X1,name_skB)),name_Nb(X0)),constr_tuple_2_get_1_bitstring(constr_checksign(X2,constr_pkey(name_skS))))))
| ~ pred_eq_bitstring_bitstring(name_A,constr_tuple_2_get_1(constr_adec(X1,name_skB)))
| ~ pred_attacker(tuple_client_B_in_3(X1))
| ~ pred_eq_bitstring_bitstring(name_A,constr_tuple_2_get_0x30(constr_checksign(X2,constr_pkey(name_skS))))
| ~ pred_attacker(tuple_client_B_in_2(X2)) ),
inference(ennf_transformation,[],[f165]) ).
fof(f245,plain,
! [X0,X1,X2] :
( pred_attacker(tuple_client_B_out_4(constr_aenc(tuple_2(constr_tuple_2_get_0x30_bitstring(constr_adec(X1,name_skB)),name_Nb(X0)),constr_tuple_2_get_1_bitstring(constr_checksign(X2,constr_pkey(name_skS))))))
| ~ pred_eq_bitstring_bitstring(name_A,constr_tuple_2_get_1(constr_adec(X1,name_skB)))
| ~ pred_attacker(tuple_client_B_in_3(X1))
| ~ pred_eq_bitstring_bitstring(name_A,constr_tuple_2_get_0x30(constr_checksign(X2,constr_pkey(name_skS))))
| ~ pred_attacker(tuple_client_B_in_2(X2)) ),
inference(flattening,[],[f244]) ).
fof(f246,plain,
! [X0,X1,X2,X3] :
( pred_attacker(tuple_client_B_out_6(name_objective))
| ~ pred_eq_bitstring_bitstring(name_Nb(X0),constr_adec(X2,name_skB))
| ~ pred_attacker(tuple_client_B_in_5(X2))
| ~ pred_eq_bitstring_bitstring(name_A,constr_tuple_2_get_1(constr_adec(X1,name_skB)))
| ~ pred_attacker(tuple_client_B_in_3(X1))
| ~ pred_eq_bitstring_bitstring(name_A,constr_tuple_2_get_0x30(constr_checksign(X3,constr_pkey(name_skS))))
| ~ pred_attacker(tuple_client_B_in_2(X3)) ),
inference(ennf_transformation,[],[f166]) ).
fof(f247,plain,
! [X0,X1,X2,X3] :
( pred_attacker(tuple_client_B_out_6(name_objective))
| ~ pred_eq_bitstring_bitstring(name_Nb(X0),constr_adec(X2,name_skB))
| ~ pred_attacker(tuple_client_B_in_5(X2))
| ~ pred_eq_bitstring_bitstring(name_A,constr_tuple_2_get_1(constr_adec(X1,name_skB)))
| ~ pred_attacker(tuple_client_B_in_3(X1))
| ~ pred_eq_bitstring_bitstring(name_A,constr_tuple_2_get_0x30(constr_checksign(X3,constr_pkey(name_skS))))
| ~ pred_attacker(tuple_client_B_in_2(X3)) ),
inference(flattening,[],[f246]) ).
fof(f248,plain,
! [X0,X1,X2] :
( pred_attacker(tuple_key_retrieval_server_out_2(constr_sign(tuple_2(X0,X1),name_skS)))
| ~ pred_table(tuple_keys(X0,X1))
| ~ pred_attacker(tuple_key_retrieval_server_in_1(X2,X0)) ),
inference(ennf_transformation,[],[f167]) ).
fof(f249,plain,
! [X0,X1,X2] :
( pred_attacker(tuple_key_retrieval_server_out_2(constr_sign(tuple_2(X0,X1),name_skS)))
| ~ pred_table(tuple_keys(X0,X1))
| ~ pred_attacker(tuple_key_retrieval_server_in_1(X2,X0)) ),
inference(flattening,[],[f248]) ).
fof(f250,plain,
! [X0,X1] :
( pred_table(tuple_keys(X0,X1))
| name_B = X0
| name_A = X0
| ~ pred_attacker(tuple_key_register_server_in_1(X0,X1)) ),
inference(ennf_transformation,[],[f168]) ).
fof(f251,plain,
! [X0,X1] :
( pred_table(tuple_keys(X0,X1))
| name_B = X0
| name_A = X0
| ~ pred_attacker(tuple_key_register_server_in_1(X0,X1)) ),
inference(flattening,[],[f250]) ).
fof(f252,plain,
? [X0] : ~ pred_attacker(tuple_2(name_Nb(X0),name_objective)),
inference(ennf_transformation,[],[f170]) ).
fof(f257,plain,
constr_CONST_0x30 != name_A,
inference(cnf_transformation,[],[f5]) ).
fof(f258,plain,
constr_CONST_0x30 != name_B,
inference(cnf_transformation,[],[f6]) ).
fof(f331,plain,
! [X0,X1] : constr_adec(constr_aenc(X1,constr_pkey(X0)),X0) = X1,
inference(cnf_transformation,[],[f79]) ).
fof(f334,plain,
! [X0,X1] : constr_checksign(constr_sign(X1,X0),constr_pkey(X0)) = X1,
inference(cnf_transformation,[],[f82]) ).
fof(f335,plain,
! [X0,X1] : constr_tuple_2_get_1_bitstring(tuple_2(X0,X1)) = X1,
inference(cnf_transformation,[],[f83]) ).
fof(f339,plain,
! [X0,X1] : pred_eq_bitstring_bitstring(X0,X1),
inference(cnf_transformation,[],[f87]) ).
fof(f346,plain,
! [X0] :
( pred_attacker(constr_pkey(X0))
| ~ pred_attacker(X0) ),
inference(cnf_transformation,[],[f178]) ).
fof(f354,plain,
! [X0] :
( ~ pred_attacker(tuple_key_retrieval_server_out_2(X0))
| pred_attacker(X0) ),
inference(cnf_transformation,[],[f186]) ).
fof(f355,plain,
! [X0,X1] :
( pred_attacker(tuple_key_retrieval_server_in_1(X0,X1))
| ~ pred_attacker(X0)
| ~ pred_attacker(X1) ),
inference(cnf_transformation,[],[f188]) ).
fof(f358,plain,
! [X0,X1] :
( pred_attacker(tuple_key_register_server_in_1(X0,X1))
| ~ pred_attacker(X0)
| ~ pred_attacker(X1) ),
inference(cnf_transformation,[],[f192]) ).
fof(f359,plain,
! [X0,X1] :
( ~ pred_attacker(tuple_key_register_server_in_1(X0,X1))
| pred_attacker(X0) ),
inference(cnf_transformation,[],[f193]) ).
fof(f366,plain,
! [X0] :
( ~ pred_attacker(tuple_client_B_out_6(X0))
| pred_attacker(X0) ),
inference(cnf_transformation,[],[f201]) ).
fof(f368,plain,
! [X0] :
( ~ pred_attacker(tuple_client_B_out_4(X0))
| pred_attacker(X0) ),
inference(cnf_transformation,[],[f203]) ).
fof(f372,plain,
! [X0] :
( pred_attacker(tuple_client_B_in_5(X0))
| ~ pred_attacker(X0) ),
inference(cnf_transformation,[],[f208]) ).
fof(f374,plain,
! [X0] :
( pred_attacker(tuple_client_B_in_3(X0))
| ~ pred_attacker(X0) ),
inference(cnf_transformation,[],[f210]) ).
fof(f376,plain,
! [X0] :
( pred_attacker(tuple_client_B_in_2(X0))
| ~ pred_attacker(X0) ),
inference(cnf_transformation,[],[f212]) ).
fof(f379,plain,
! [X0] :
( ~ pred_attacker(tuple_client_A_out_5(X0))
| pred_attacker(X0) ),
inference(cnf_transformation,[],[f215]) ).
fof(f385,plain,
! [X0] :
( pred_attacker(tuple_client_A_in_4(X0))
| ~ pred_attacker(X0) ),
inference(cnf_transformation,[],[f222]) ).
fof(f387,plain,
! [X0] :
( pred_attacker(tuple_client_A_in_2(X0))
| ~ pred_attacker(X0) ),
inference(cnf_transformation,[],[f224]) ).
fof(f391,plain,
! [X0,X1] :
( pred_attacker(constr_adec(X0,X1))
| ~ pred_attacker(X0)
| ~ pred_attacker(X1) ),
inference(cnf_transformation,[],[f231]) ).
fof(f396,plain,
pred_attacker(constr_CONST_0x30),
inference(cnf_transformation,[],[f144]) ).
fof(f397,plain,
! [X0,X1] :
( pred_attacker(tuple_2(X0,X1))
| ~ pred_attacker(X0)
| ~ pred_attacker(X1) ),
inference(cnf_transformation,[],[f233]) ).
fof(f405,plain,
pred_attacker(name_A),
inference(cnf_transformation,[],[f153]) ).
fof(f407,plain,
pred_table(tuple_keys(name_A,constr_pkey(name_skA))),
inference(cnf_transformation,[],[f156]) ).
fof(f414,plain,
! [X2,X0,X1] :
( ~ pred_eq_bitstring_bitstring(name_I,constr_tuple_2_get_0x30(constr_checksign(X2,constr_pkey(name_skS))))
| ~ pred_eq_bitstring_bitstring(name_Na(X0),constr_tuple_2_get_0x30(constr_adec(X1,name_skA)))
| ~ pred_attacker(tuple_client_A_in_4(X1))
| ~ pred_attacker(tuple_client_A_in_2(X2))
| pred_attacker(tuple_client_A_out_5(constr_aenc(constr_tuple_2_get_1_bitstring(constr_adec(X1,name_skA)),constr_tuple_2_get_1_bitstring(constr_checksign(X2,constr_pkey(name_skS)))))) ),
inference(cnf_transformation,[],[f243]) ).
fof(f416,plain,
! [X2,X0,X1] :
( ~ pred_eq_bitstring_bitstring(name_A,constr_tuple_2_get_0x30(constr_checksign(X2,constr_pkey(name_skS))))
| ~ pred_eq_bitstring_bitstring(name_A,constr_tuple_2_get_1(constr_adec(X1,name_skB)))
| ~ pred_attacker(tuple_client_B_in_3(X1))
| ~ pred_attacker(tuple_client_B_in_2(X2))
| pred_attacker(tuple_client_B_out_4(constr_aenc(tuple_2(constr_tuple_2_get_0x30_bitstring(constr_adec(X1,name_skB)),name_Nb(X0)),constr_tuple_2_get_1_bitstring(constr_checksign(X2,constr_pkey(name_skS)))))) ),
inference(cnf_transformation,[],[f245]) ).
fof(f417,plain,
! [X2,X3,X0,X1] :
( ~ pred_attacker(tuple_client_B_in_2(X3))
| ~ pred_eq_bitstring_bitstring(name_A,constr_tuple_2_get_0x30(constr_checksign(X3,constr_pkey(name_skS))))
| ~ pred_attacker(tuple_client_B_in_3(X1))
| ~ pred_eq_bitstring_bitstring(name_A,constr_tuple_2_get_1(constr_adec(X1,name_skB)))
| ~ pred_attacker(tuple_client_B_in_5(X2))
| ~ pred_eq_bitstring_bitstring(name_Nb(X0),constr_adec(X2,name_skB))
| pred_attacker(tuple_client_B_out_6(name_objective)) ),
inference(cnf_transformation,[],[f247]) ).
fof(f418,plain,
! [X2,X0,X1] :
( ~ pred_table(tuple_keys(X0,X1))
| ~ pred_attacker(tuple_key_retrieval_server_in_1(X2,X0))
| pred_attacker(tuple_key_retrieval_server_out_2(constr_sign(tuple_2(X0,X1),name_skS))) ),
inference(cnf_transformation,[],[f249]) ).
fof(f419,plain,
! [X0,X1] :
( pred_table(tuple_keys(X0,X1))
| name_A = X0
| name_B = X0
| ~ pred_attacker(tuple_key_register_server_in_1(X0,X1)) ),
inference(cnf_transformation,[],[f251]) ).
fof(f420,plain,
~ pred_attacker(tuple_2(name_Nb(sK0),name_objective)),
inference(cnf_transformation,[],[f252]) ).
fof(f422,definition,
( spl1_1
<=> pred_attacker(tuple_client_B_out_6(name_objective)) ),
introduced(definition,[new_symbols(definition,[spl1_1])],[avatar_definition]) ).
fof(f424,plain,
( pred_attacker(tuple_client_B_out_6(name_objective))
| ~ spl1_1 ),
inference(avatar_component_clause,[],[f422]) ).
fof(f426,definition,
( spl1_2
<=> ! [X2,X0] :
( ~ pred_attacker(tuple_client_B_in_5(X2))
| ~ pred_eq_bitstring_bitstring(name_Nb(X0),constr_adec(X2,name_skB)) ) ),
introduced(definition,[new_symbols(definition,[spl1_2])],[avatar_definition]) ).
fof(f427,plain,
( ! [X2,X0] :
( ~ pred_attacker(tuple_client_B_in_5(X2))
| ~ pred_eq_bitstring_bitstring(name_Nb(X0),constr_adec(X2,name_skB)) )
| ~ spl1_2 ),
inference(avatar_component_clause,[],[f426]) ).
fof(f429,definition,
( spl1_3
<=> ! [X1] :
( ~ pred_attacker(tuple_client_B_in_3(X1))
| ~ pred_eq_bitstring_bitstring(name_A,constr_tuple_2_get_1(constr_adec(X1,name_skB))) ) ),
introduced(definition,[new_symbols(definition,[spl1_3])],[avatar_definition]) ).
fof(f430,plain,
( ! [X1] :
( ~ pred_attacker(tuple_client_B_in_3(X1))
| ~ pred_eq_bitstring_bitstring(name_A,constr_tuple_2_get_1(constr_adec(X1,name_skB))) )
| ~ spl1_3 ),
inference(avatar_component_clause,[],[f429]) ).
fof(f432,definition,
( spl1_4
<=> ! [X3] :
( ~ pred_attacker(tuple_client_B_in_2(X3))
| ~ pred_eq_bitstring_bitstring(name_A,constr_tuple_2_get_0x30(constr_checksign(X3,constr_pkey(name_skS)))) ) ),
introduced(definition,[new_symbols(definition,[spl1_4])],[avatar_definition]) ).
fof(f433,plain,
( ! [X3] :
( ~ pred_attacker(tuple_client_B_in_2(X3))
| ~ pred_eq_bitstring_bitstring(name_A,constr_tuple_2_get_0x30(constr_checksign(X3,constr_pkey(name_skS)))) )
| ~ spl1_4 ),
inference(avatar_component_clause,[],[f432]) ).
fof(f434,plain,
( spl1_1
| spl1_2
| spl1_3
| spl1_4 ),
inference(avatar_split_clause,[],[f417,f432,f429,f426,f422]) ).
fof(f435,plain,
( ! [X2] : ~ pred_attacker(tuple_client_B_in_5(X2))
| ~ spl1_2 ),
inference(forward_subsumption_resolution,[],[f427,f339]) ).
fof(f445,plain,
( ! [X0] : ~ pred_attacker(X0)
| ~ spl1_2 ),
inference(resolution,[],[f372,f435]) ).
fof(f446,plain,
( $false
| ~ spl1_2 ),
inference(resolution,[],[f445,f396]) ).
fof(f498,plain,
~ spl1_2,
inference(avatar_contradiction_clause,[],[f446]) ).
fof(f499,plain,
( ! [X1] : ~ pred_attacker(tuple_client_B_in_3(X1))
| ~ spl1_3 ),
inference(forward_subsumption_resolution,[],[f430,f339]) ).
fof(f501,plain,
( ! [X0] : ~ pred_attacker(X0)
| ~ spl1_3 ),
inference(resolution,[],[f374,f499]) ).
fof(f502,plain,
( $false
| ~ spl1_3 ),
inference(resolution,[],[f501,f396]) ).
fof(f555,plain,
~ spl1_3,
inference(avatar_contradiction_clause,[],[f502]) ).
fof(f556,plain,
( ! [X3] : ~ pred_attacker(tuple_client_B_in_2(X3))
| ~ spl1_4 ),
inference(forward_subsumption_resolution,[],[f433,f339]) ).
fof(f558,plain,
( ! [X0] : ~ pred_attacker(X0)
| ~ spl1_4 ),
inference(resolution,[],[f376,f556]) ).
fof(f559,plain,
( $false
| ~ spl1_4 ),
inference(resolution,[],[f558,f396]) ).
fof(f613,plain,
~ spl1_4,
inference(avatar_contradiction_clause,[],[f559]) ).
fof(f614,plain,
( pred_attacker(name_objective)
| ~ spl1_1 ),
inference(resolution,[],[f424,f366]) ).
fof(f640,plain,
! [X0,X1] :
( ~ pred_attacker(constr_aenc(X0,constr_pkey(X1)))
| pred_attacker(X0)
| ~ pred_attacker(X1) ),
inference(superposition,[],[f391,f331]) ).
fof(f641,plain,
( ~ pred_attacker(name_Nb(sK0))
| ~ pred_attacker(name_objective) ),
inference(resolution,[],[f397,f420]) ).
fof(f644,plain,
( ~ pred_attacker(name_Nb(sK0))
| ~ spl1_1 ),
inference(forward_subsumption_resolution,[],[f641,f614]) ).
fof(f647,plain,
! [X0] :
( ~ pred_attacker(tuple_key_retrieval_server_in_1(X0,name_A))
| pred_attacker(tuple_key_retrieval_server_out_2(constr_sign(tuple_2(name_A,constr_pkey(name_skA)),name_skS))) ),
inference(resolution,[],[f418,f407]) ).
fof(f649,plain,
! [X2,X0,X1] :
( ~ pred_attacker(tuple_key_retrieval_server_in_1(X0,X1))
| pred_attacker(tuple_key_retrieval_server_out_2(constr_sign(tuple_2(X1,X2),name_skS)))
| name_A = X1
| name_B = X1
| ~ pred_attacker(tuple_key_register_server_in_1(X1,X2)) ),
inference(resolution,[],[f418,f419]) ).
fof(f659,definition,
( spl1_7
<=> pred_attacker(tuple_key_retrieval_server_out_2(constr_sign(tuple_2(name_A,constr_pkey(name_skA)),name_skS))) ),
introduced(definition,[new_symbols(definition,[spl1_7])],[avatar_definition]) ).
fof(f661,plain,
( pred_attacker(tuple_key_retrieval_server_out_2(constr_sign(tuple_2(name_A,constr_pkey(name_skA)),name_skS)))
| ~ spl1_7 ),
inference(avatar_component_clause,[],[f659]) ).
fof(f663,definition,
( spl1_8
<=> ! [X0] : ~ pred_attacker(tuple_key_retrieval_server_in_1(X0,name_A)) ),
introduced(definition,[new_symbols(definition,[spl1_8])],[avatar_definition]) ).
fof(f664,plain,
( ! [X0] : ~ pred_attacker(tuple_key_retrieval_server_in_1(X0,name_A))
| ~ spl1_8 ),
inference(avatar_component_clause,[],[f663]) ).
fof(f665,plain,
( spl1_7
| spl1_8 ),
inference(avatar_split_clause,[],[f647,f663,f659]) ).
fof(f747,plain,
! [X2,X0,X1] :
( ~ pred_eq_bitstring_bitstring(name_I,constr_tuple_2_get_0x30(X0))
| ~ pred_eq_bitstring_bitstring(name_Na(X1),constr_tuple_2_get_0x30(constr_adec(X2,name_skA)))
| ~ pred_attacker(tuple_client_A_in_4(X2))
| ~ pred_attacker(tuple_client_A_in_2(constr_sign(X0,name_skS)))
| pred_attacker(tuple_client_A_out_5(constr_aenc(constr_tuple_2_get_1_bitstring(constr_adec(X2,name_skA)),constr_tuple_2_get_1_bitstring(X0)))) ),
inference(superposition,[],[f414,f334]) ).
fof(f750,plain,
! [X2,X0] :
( ~ pred_eq_bitstring_bitstring(name_I,constr_tuple_2_get_0x30(X0))
| ~ pred_attacker(tuple_client_A_in_4(X2))
| ~ pred_attacker(tuple_client_A_in_2(constr_sign(X0,name_skS)))
| pred_attacker(tuple_client_A_out_5(constr_aenc(constr_tuple_2_get_1_bitstring(constr_adec(X2,name_skA)),constr_tuple_2_get_1_bitstring(X0)))) ),
inference(forward_subsumption_resolution,[],[f747,f339]) ).
fof(f754,plain,
! [X2,X0] :
( pred_attacker(tuple_client_A_out_5(constr_aenc(constr_tuple_2_get_1_bitstring(constr_adec(X2,name_skA)),constr_tuple_2_get_1_bitstring(X0))))
| ~ pred_attacker(tuple_client_A_in_2(constr_sign(X0,name_skS)))
| ~ pred_attacker(tuple_client_A_in_4(X2)) ),
inference(forward_subsumption_resolution,[],[f750,f339]) ).
fof(f758,plain,
! [X2,X0,X1] :
( ~ pred_eq_bitstring_bitstring(name_A,constr_tuple_2_get_0x30(X0))
| ~ pred_eq_bitstring_bitstring(name_A,constr_tuple_2_get_1(constr_adec(X1,name_skB)))
| ~ pred_attacker(tuple_client_B_in_3(X1))
| ~ pred_attacker(tuple_client_B_in_2(constr_sign(X0,name_skS)))
| pred_attacker(tuple_client_B_out_4(constr_aenc(tuple_2(constr_tuple_2_get_0x30_bitstring(constr_adec(X1,name_skB)),name_Nb(X2)),constr_tuple_2_get_1_bitstring(X0)))) ),
inference(superposition,[],[f416,f334]) ).
fof(f761,plain,
! [X2,X0,X1] :
( ~ pred_eq_bitstring_bitstring(name_A,constr_tuple_2_get_0x30(X0))
| ~ pred_attacker(tuple_client_B_in_3(X1))
| ~ pred_attacker(tuple_client_B_in_2(constr_sign(X0,name_skS)))
| pred_attacker(tuple_client_B_out_4(constr_aenc(tuple_2(constr_tuple_2_get_0x30_bitstring(constr_adec(X1,name_skB)),name_Nb(X2)),constr_tuple_2_get_1_bitstring(X0)))) ),
inference(forward_subsumption_resolution,[],[f758,f339]) ).
fof(f765,plain,
! [X2,X0,X1] :
( pred_attacker(tuple_client_B_out_4(constr_aenc(tuple_2(constr_tuple_2_get_0x30_bitstring(constr_adec(X1,name_skB)),name_Nb(X2)),constr_tuple_2_get_1_bitstring(X0))))
| ~ pred_attacker(tuple_client_B_in_2(constr_sign(X0,name_skS)))
| ~ pred_attacker(tuple_client_B_in_3(X1)) ),
inference(forward_subsumption_resolution,[],[f761,f339]) ).
fof(f767,plain,
( pred_attacker(constr_sign(tuple_2(name_A,constr_pkey(name_skA)),name_skS))
| ~ spl1_7 ),
inference(resolution,[],[f661,f354]) ).
fof(f779,plain,
! [X0,X1] :
( pred_attacker(constr_aenc(constr_tuple_2_get_1_bitstring(constr_adec(X1,name_skA)),constr_tuple_2_get_1_bitstring(X0)))
| ~ pred_attacker(tuple_client_A_in_4(X1))
| ~ pred_attacker(tuple_client_A_in_2(constr_sign(X0,name_skS))) ),
inference(resolution,[],[f754,f379]) ).
fof(f792,definition,
( spl1_10
<=> ! [X2,X1] :
( ~ pred_attacker(tuple_client_A_in_2(constr_sign(tuple_2(X2,constr_pkey(X1)),name_skS)))
| ~ pred_attacker(X1) ) ),
introduced(definition,[new_symbols(definition,[spl1_10])],[avatar_definition]) ).
fof(f793,plain,
( ! [X2,X1] :
( ~ pred_attacker(tuple_client_A_in_2(constr_sign(tuple_2(X2,constr_pkey(X1)),name_skS)))
| ~ pred_attacker(X1) )
| ~ spl1_10 ),
inference(avatar_component_clause,[],[f792]) ).
fof(f800,plain,
! [X2,X0,X1] :
( pred_attacker(constr_aenc(tuple_2(constr_tuple_2_get_0x30_bitstring(constr_adec(X1,name_skB)),name_Nb(X2)),constr_tuple_2_get_1_bitstring(X0)))
| ~ pred_attacker(tuple_client_B_in_3(X1))
| ~ pred_attacker(tuple_client_B_in_2(constr_sign(X0,name_skS))) ),
inference(resolution,[],[f765,f368]) ).
fof(f803,plain,
! [X2,X0,X1] :
( pred_attacker(tuple_key_retrieval_server_out_2(constr_sign(tuple_2(X1,X2),name_skS)))
| name_A = X1
| name_B = X1
| ~ pred_attacker(tuple_key_register_server_in_1(X1,X2))
| ~ pred_attacker(X0)
| ~ pred_attacker(X1) ),
inference(resolution,[],[f649,f355]) ).
fof(f805,plain,
! [X2,X0,X1] :
( pred_attacker(tuple_key_retrieval_server_out_2(constr_sign(tuple_2(X1,X2),name_skS)))
| name_A = X1
| name_B = X1
| ~ pred_attacker(tuple_key_register_server_in_1(X1,X2))
| ~ pred_attacker(X0) ),
inference(forward_subsumption_resolution,[],[f803,f359]) ).
fof(f807,definition,
( spl1_11
<=> ! [X0] : ~ pred_attacker(X0) ),
introduced(definition,[new_symbols(definition,[spl1_11])],[avatar_definition]) ).
fof(f808,plain,
( ! [X0] : ~ pred_attacker(X0)
| ~ spl1_11 ),
inference(avatar_component_clause,[],[f807]) ).
fof(f810,definition,
( spl1_12
<=> ! [X2,X1] :
( pred_attacker(tuple_key_retrieval_server_out_2(constr_sign(tuple_2(X1,X2),name_skS)))
| ~ pred_attacker(tuple_key_register_server_in_1(X1,X2))
| name_B = X1
| name_A = X1 ) ),
introduced(definition,[new_symbols(definition,[spl1_12])],[avatar_definition]) ).
fof(f811,plain,
( ! [X2,X1] :
( pred_attacker(tuple_key_retrieval_server_out_2(constr_sign(tuple_2(X1,X2),name_skS)))
| ~ pred_attacker(tuple_key_register_server_in_1(X1,X2))
| name_B = X1
| name_A = X1 )
| ~ spl1_12 ),
inference(avatar_component_clause,[],[f810]) ).
fof(f812,plain,
( spl1_11
| spl1_12 ),
inference(avatar_split_clause,[],[f805,f810,f807]) ).
fof(f813,plain,
( $false
| ~ spl1_11 ),
inference(resolution,[],[f808,f396]) ).
fof(f912,plain,
~ spl1_11,
inference(avatar_contradiction_clause,[],[f813]) ).
fof(f934,plain,
! [X2,X0,X1] :
( pred_attacker(constr_aenc(constr_tuple_2_get_1_bitstring(constr_adec(X1,name_skA)),X0))
| ~ pred_attacker(tuple_client_A_in_2(constr_sign(tuple_2(X2,X0),name_skS)))
| ~ pred_attacker(tuple_client_A_in_4(X1)) ),
inference(superposition,[],[f779,f335]) ).
fof(f937,plain,
( ! [X0,X1] :
( pred_attacker(constr_sign(tuple_2(X0,X1),name_skS))
| name_B = X0
| name_A = X0
| ~ pred_attacker(tuple_key_register_server_in_1(X0,X1)) )
| ~ spl1_12 ),
inference(resolution,[],[f811,f354]) ).
fof(f956,plain,
! [X2,X3,X0,X1] :
( pred_attacker(constr_aenc(tuple_2(constr_tuple_2_get_0x30_bitstring(constr_adec(X1,name_skB)),name_Nb(X2)),X0))
| ~ pred_attacker(tuple_client_B_in_2(constr_sign(tuple_2(X3,X0),name_skS)))
| ~ pred_attacker(tuple_client_B_in_3(X1)) ),
inference(superposition,[],[f800,f335]) ).
fof(f957,plain,
! [X2,X0,X1] :
( ~ pred_attacker(tuple_client_A_in_2(constr_sign(tuple_2(X2,constr_pkey(X1)),name_skS)))
| ~ pred_attacker(tuple_client_A_in_4(X0))
| pred_attacker(constr_tuple_2_get_1_bitstring(constr_adec(X0,name_skA)))
| ~ pred_attacker(X1) ),
inference(resolution,[],[f934,f640]) ).
fof(f961,definition,
( spl1_15
<=> ! [X0] :
( ~ pred_attacker(tuple_client_A_in_4(X0))
| pred_attacker(constr_tuple_2_get_1_bitstring(constr_adec(X0,name_skA))) ) ),
introduced(definition,[new_symbols(definition,[spl1_15])],[avatar_definition]) ).
fof(f962,plain,
( ! [X0] :
( pred_attacker(constr_tuple_2_get_1_bitstring(constr_adec(X0,name_skA)))
| ~ pred_attacker(tuple_client_A_in_4(X0)) )
| ~ spl1_15 ),
inference(avatar_component_clause,[],[f961]) ).
fof(f963,plain,
( spl1_15
| spl1_10 ),
inference(avatar_split_clause,[],[f957,f792,f961]) ).
fof(f967,plain,
( ! [X0,X1] :
( ~ pred_attacker(constr_sign(tuple_2(X1,constr_pkey(X0)),name_skS))
| ~ pred_attacker(X0) )
| ~ spl1_10 ),
inference(resolution,[],[f793,f387]) ).
fof(f976,plain,
( ! [X0,X1] :
( ~ pred_attacker(tuple_key_register_server_in_1(X1,constr_pkey(X0)))
| name_B = X1
| name_A = X1
| ~ pred_attacker(X0) )
| ~ spl1_10
| ~ spl1_12 ),
inference(resolution,[],[f967,f937]) ).
fof(f986,plain,
( ! [X0,X1] :
( name_B = X0
| name_A = X0
| ~ pred_attacker(X1)
| ~ pred_attacker(X0)
| ~ pred_attacker(constr_pkey(X1)) )
| ~ spl1_10
| ~ spl1_12 ),
inference(resolution,[],[f976,f358]) ).
fof(f987,plain,
( ! [X0,X1] :
( name_B = X0
| name_A = X0
| ~ pred_attacker(X1)
| ~ pred_attacker(X0) )
| ~ spl1_10
| ~ spl1_12 ),
inference(forward_subsumption_resolution,[],[f986,f346]) ).
fof(f989,definition,
( spl1_16
<=> ! [X0] :
( name_B = X0
| ~ pred_attacker(X0)
| name_A = X0 ) ),
introduced(definition,[new_symbols(definition,[spl1_16])],[avatar_definition]) ).
fof(f990,plain,
( ! [X0] :
( ~ pred_attacker(X0)
| name_B = X0
| name_A = X0 )
| ~ spl1_16 ),
inference(avatar_component_clause,[],[f989]) ).
fof(f994,plain,
( ! [X0] :
( ~ pred_attacker(tuple_client_A_in_4(constr_aenc(X0,constr_pkey(name_skA))))
| pred_attacker(constr_tuple_2_get_1_bitstring(X0)) )
| ~ spl1_15 ),
inference(superposition,[],[f962,f331]) ).
fof(f998,plain,
( ! [X0] :
( ~ pred_attacker(constr_aenc(X0,constr_pkey(name_skA)))
| pred_attacker(constr_tuple_2_get_1_bitstring(X0)) )
| ~ spl1_15 ),
inference(resolution,[],[f994,f385]) ).
fof(f1017,plain,
( spl1_11
| spl1_16
| ~ spl1_10
| ~ spl1_12 ),
inference(avatar_split_clause,[],[f987,f810,f792,f989,f807]) ).
fof(f1027,plain,
( constr_CONST_0x30 = name_B
| constr_CONST_0x30 = name_A
| ~ spl1_16 ),
inference(resolution,[],[f990,f396]) ).
fof(f1284,plain,
( constr_CONST_0x30 = name_A
| ~ spl1_16 ),
inference(forward_subsumption_resolution,[],[f1027,f258]) ).
fof(f1299,plain,
( $false
| ~ spl1_16 ),
inference(forward_subsumption_resolution,[],[f1284,f257]) ).
fof(f1300,plain,
~ spl1_16,
inference(avatar_contradiction_clause,[],[f1299]) ).
fof(f1308,definition,
( spl1_53
<=> ! [X2] : ~ pred_attacker(constr_sign(tuple_2(X2,constr_pkey(name_skA)),name_skS)) ),
introduced(definition,[new_symbols(definition,[spl1_53])],[avatar_definition]) ).
fof(f1309,plain,
( ! [X2] : ~ pred_attacker(constr_sign(tuple_2(X2,constr_pkey(name_skA)),name_skS))
| ~ spl1_53 ),
inference(avatar_component_clause,[],[f1308]) ).
fof(f1314,plain,
( $false
| ~ spl1_7
| ~ spl1_53 ),
inference(resolution,[],[f1309,f767]) ).
fof(f1318,plain,
( ~ spl1_7
| ~ spl1_53 ),
inference(avatar_contradiction_clause,[],[f1314]) ).
fof(f1330,definition,
( spl1_56
<=> ! [X0] : ~ pred_attacker(tuple_client_B_in_3(X0)) ),
introduced(definition,[new_symbols(definition,[spl1_56])],[avatar_definition]) ).
fof(f1331,plain,
( ! [X0] : ~ pred_attacker(tuple_client_B_in_3(X0))
| ~ spl1_56 ),
inference(avatar_component_clause,[],[f1330]) ).
fof(f1333,definition,
( spl1_57
<=> ! [X2] : ~ pred_attacker(tuple_client_B_in_2(constr_sign(tuple_2(X2,constr_pkey(name_skA)),name_skS))) ),
introduced(definition,[new_symbols(definition,[spl1_57])],[avatar_definition]) ).
fof(f1334,plain,
( ! [X2] : ~ pred_attacker(tuple_client_B_in_2(constr_sign(tuple_2(X2,constr_pkey(name_skA)),name_skS)))
| ~ spl1_57 ),
inference(avatar_component_clause,[],[f1333]) ).
fof(f1346,plain,
( ! [X2,X0,X1] :
( pred_attacker(constr_tuple_2_get_1_bitstring(tuple_2(constr_tuple_2_get_0x30_bitstring(constr_adec(X0,name_skB)),name_Nb(X1))))
| ~ pred_attacker(tuple_client_B_in_2(constr_sign(tuple_2(X2,constr_pkey(name_skA)),name_skS)))
| ~ pred_attacker(tuple_client_B_in_3(X0)) )
| ~ spl1_15 ),
inference(resolution,[],[f998,f956]) ).
fof(f1348,plain,
( ! [X2,X0,X1] :
( pred_attacker(name_Nb(X1))
| ~ pred_attacker(tuple_client_B_in_2(constr_sign(tuple_2(X2,constr_pkey(name_skA)),name_skS)))
| ~ pred_attacker(tuple_client_B_in_3(X0)) )
| ~ spl1_15 ),
inference(forward_demodulation,[],[f1346,f335]) ).
fof(f1351,definition,
( spl1_60
<=> ! [X1] : pred_attacker(name_Nb(X1)) ),
introduced(definition,[new_symbols(definition,[spl1_60])],[avatar_definition]) ).
fof(f1352,plain,
( ! [X1] : pred_attacker(name_Nb(X1))
| ~ spl1_60 ),
inference(avatar_component_clause,[],[f1351]) ).
fof(f1353,plain,
( spl1_56
| spl1_57
| spl1_60
| ~ spl1_15 ),
inference(avatar_split_clause,[],[f1348,f961,f1351,f1333,f1330]) ).
fof(f1359,plain,
( ! [X0] : ~ pred_attacker(X0)
| ~ spl1_56 ),
inference(resolution,[],[f1331,f374]) ).
fof(f1360,plain,
( spl1_11
| ~ spl1_56 ),
inference(avatar_split_clause,[],[f1359,f1330,f807]) ).
fof(f1364,plain,
( ! [X0] : ~ pred_attacker(constr_sign(tuple_2(X0,constr_pkey(name_skA)),name_skS))
| ~ spl1_57 ),
inference(resolution,[],[f1334,f376]) ).
fof(f1365,plain,
( spl1_53
| ~ spl1_57 ),
inference(avatar_split_clause,[],[f1364,f1333,f1308]) ).
fof(f1369,plain,
( $false
| ~ spl1_1
| ~ spl1_60 ),
inference(resolution,[],[f1352,f644]) ).
fof(f1370,plain,
( ~ spl1_1
| ~ spl1_60 ),
inference(avatar_contradiction_clause,[],[f1369]) ).
fof(f1371,plain,
( ! [X0] :
( ~ pred_attacker(X0)
| ~ pred_attacker(name_A) )
| ~ spl1_8 ),
inference(resolution,[],[f664,f355]) ).
fof(f1372,plain,
( ! [X0] : ~ pred_attacker(X0)
| ~ spl1_8 ),
inference(forward_subsumption_resolution,[],[f1371,f405]) ).
fof(f1373,plain,
( spl1_11
| ~ spl1_8 ),
inference(avatar_split_clause,[],[f1372,f663,f807]) ).
cnf(s1,plain,
( spl1_1
| spl1_2
| spl1_3
| spl1_4 ),
inference(sat_conversion,[],[f434]) ).
cnf(s21,plain,
~ spl1_2,
inference(sat_conversion,[],[f498]) ).
cnf(s41,plain,
~ spl1_3,
inference(sat_conversion,[],[f555]) ).
cnf(s61,plain,
~ spl1_4,
inference(sat_conversion,[],[f613]) ).
cnf(s63,plain,
( spl1_7
| spl1_8 ),
inference(sat_conversion,[],[f665]) ).
cnf(s87,plain,
( spl1_11
| spl1_12 ),
inference(sat_conversion,[],[f812]) ).
cnf(s117,plain,
~ spl1_11,
inference(sat_conversion,[],[f912]) ).
cnf(s119,plain,
( spl1_10
| spl1_15 ),
inference(sat_conversion,[],[f963]) ).
cnf(s122,plain,
( ~ spl1_10
| spl1_11
| ~ spl1_12
| spl1_16 ),
inference(sat_conversion,[],[f1017]) ).
cnf(s147,plain,
~ spl1_16,
inference(sat_conversion,[],[f1300]) ).
cnf(s149,plain,
( ~ spl1_7
| ~ spl1_53 ),
inference(sat_conversion,[],[f1318]) ).
cnf(s152,plain,
( ~ spl1_15
| spl1_56
| spl1_57
| spl1_60 ),
inference(sat_conversion,[],[f1353]) ).
cnf(s153,plain,
( spl1_11
| ~ spl1_56 ),
inference(sat_conversion,[],[f1360]) ).
cnf(s154,plain,
( spl1_53
| ~ spl1_57 ),
inference(sat_conversion,[],[f1365]) ).
cnf(s155,plain,
( ~ spl1_1
| ~ spl1_60 ),
inference(sat_conversion,[],[f1370]) ).
cnf(s156,plain,
( ~ spl1_8
| spl1_11 ),
inference(sat_conversion,[],[f1373]) ).
cnf(s157,plain,
( ~ spl1_10
| spl1_11
| ~ spl1_12 ),
inference(rat,[],[s122,s147]) ).
cnf(s159,plain,
~ spl1_8,
inference(rat,[],[s156,s117]) ).
cnf(s160,plain,
~ spl1_56,
inference(rat,[],[s153,s117]) ).
cnf(s161,plain,
spl1_12,
inference(rat,[],[s87,s117]) ).
cnf(s162,plain,
~ spl1_10,
inference(rat,[],[s157,s117,s161]) ).
cnf(s163,plain,
spl1_15,
inference(rat,[],[s119,s162]) ).
cnf(s165,plain,
spl1_7,
inference(rat,[],[s63,s159]) ).
cnf(s166,plain,
~ spl1_53,
inference(rat,[],[s149,s165]) ).
cnf(s167,plain,
~ spl1_57,
inference(rat,[],[s154,s166]) ).
cnf(s169,plain,
spl1_60,
inference(rat,[],[s152,s163,s160,s167]) ).
cnf(s171,plain,
~ spl1_1,
inference(rat,[],[s155,s169]) ).
cnf(s173,plain,
$false,
inference(rat,[],[s1,s61,s41,s21,s171]) ).
fof(f1374,plain,
$false,
inference(avatar_sat_refutation,[],[s173]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SWW960+1 : TPTP v9.3.1. Released v7.4.0.
% 0.00/0.09 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.12/0.31 % Computer : n011.cluster.edu
% 0.12/0.31 % Model : x86_64 x86_64
% 0.12/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.31 % Memory : 8046.5625MB
% 0.12/0.31 % OS : Linux 6.8.0-71-generic
% 0.12/0.31 % CPULimit : 300
% 0.12/0.31 % WCLimit : 300
% 0.12/0.31 % DateTime : Mon Sep 28 14:49:00 UTC 2026
% 0.14/0.31 % CPUTime :
% 0.14/0.31 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.14/0.35 Running first-order model finding
% 0.14/0.35 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.33/0.46 % (3441119)Will run a generic schedule for satisfiability detection.
% 0.33/0.46 % (3441126)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2592203680:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.33/0.46 % (3441124)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=442377299_2999 on theBenchmark for (2999ds/0Mi)
% 0.33/0.46 % (3441125)% WARNING: option uhcvi not known.
% 0.33/0.46 % (3441127)dis+10_1_sil=32000:sp=arity:random_seed=3832371378:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.33/0.46 % (3441128)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1420705698:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.33/0.46 % (3441125)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=51275034:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.33/0.46 % (3441130)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1732901167:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.33/0.46 % (3441129)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3476262458:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.33/0.46 % Detected minimum model sizes of [13]
% 0.33/0.46 % Detected maximum model sizes of [max]
% 0.33/0.46 % TRYING [13]
% 0.33/0.46 % (3441128) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3441119-3441128"...
% 0.33/0.46 % (3441128)...printing done.
% 0.33/0.46 % (3441128)Refutation found. Thanks to Tanya!
% 0.33/0.46 % SZS status Theorem for theBenchmark
% 0.33/0.46 % SZS output start Proof for theBenchmark
% See solution above
% 0.33/0.46 % (3441128)------------------------------
% 0.33/0.46 % (3441128)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.33/0.46 % (3441128)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.33/0.46 % (3441128)CaDiCaL version: 2.1.3
% 0.33/0.46 % (3441128)Termination reason: Refutation
% 0.33/0.46 % (3441128)Time elapsed: 0.041 s
% 0.33/0.46 % (3441128)Peak memory usage: 13 MB
% 0.33/0.46 % (3441128)Instructions burned: 40 (million)
% 0.33/0.46 % (3441119)Success in time 0.094 s
% 0.33/0.46 % Vampire exiting
%------------------------------------------------------------------------------