%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWW964+1 : TPTP v9.3.1. Released v7.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n008.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 01:38:06 PM UTC 2026
% Result : Theorem 3.11s 1.14s
% Output : Refutation 3.88s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 39
% Syntax : Number of formulae : 185 ( 40 unt; 10 def)
% Number of atoms : 503 ( 47 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 601 ( 283 ~; 273 |; 16 &)
% ( 10 <=>; 19 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 5 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 15 ( 13 usr; 11 prp; 0-2 aty)
% Number of functors : 31 ( 31 usr; 7 con; 0-4 aty)
% Number of variables : 282 ( 0 sgn 281 !; 1 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f5,axiom,
constr_CONST_0x30 != name_A,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax4) ).
fof(f6,axiom,
constr_CONST_0x30 != name_B,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax5) ).
fof(f81,axiom,
! [X0,X1] : constr_checksign(constr_sign(X1,X0),constr_pkey(X0)) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax80) ).
fof(f84,axiom,
! [X0,X1,X2] : constr_ecb_dec_2(constr_ecb_enc_2(X1,X2,constr_pkey(X0)),X0) = tuple_2(X1,X2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax83) ).
fof(f87,axiom,
! [X0,X1,X2,X3] : constr_ecb_enc_3(X1,X2,X3,X0) = tuple_3(constr_ecb_enc_1(X1,X0),constr_ecb_enc_1(X2,X0),constr_ecb_enc_1(X3,X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax86) ).
fof(f88,axiom,
! [X0,X1,X2] : constr_ecb_enc_2(X1,X2,X0) = tuple_2(constr_ecb_enc_1(X1,X0),constr_ecb_enc_1(X2,X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax87) ).
fof(f90,axiom,
! [X0,X1] : constr_tuple_2_get_1_bitstring(tuple_2(X0,X1)) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax89) ).
fof(f96,axiom,
! [X0,X1] : pred_eq_bitstring_bitstring(X0,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax95) ).
fof(f106,axiom,
! [X0] :
( pred_attacker(X0)
=> pred_attacker(constr_pkey(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax105) ).
fof(f114,axiom,
! [X0] :
( pred_attacker(tuple_key_retrieval_server_out_2(X0))
=> pred_attacker(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax113) ).
fof(f115,axiom,
! [X0,X1] :
( ( pred_attacker(X0)
& pred_attacker(X1) )
=> pred_attacker(tuple_key_retrieval_server_in_1(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax114) ).
fof(f117,axiom,
! [X0,X1] :
( pred_attacker(tuple_key_retrieval_server_in_1(X0,X1))
=> pred_attacker(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax116) ).
fof(f118,axiom,
! [X0,X1] :
( ( pred_attacker(X0)
& pred_attacker(X1) )
=> pred_attacker(tuple_key_register_server_in_1(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax117) ).
fof(f127,axiom,
! [X0,X1] :
( ( pred_attacker(X0)
& pred_attacker(X1) )
=> pred_attacker(constr_ecb_enc_1(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax126) ).
fof(f130,axiom,
! [X0,X1] :
( ( pred_attacker(X0)
& pred_attacker(X1) )
=> pred_attacker(constr_ecb_dec_2(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax129) ).
fof(f134,axiom,
! [X0] :
( pred_attacker(tuple_client_B_out_6(X0))
=> pred_attacker(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax133) ).
fof(f136,axiom,
! [X0] :
( pred_attacker(tuple_client_B_out_4(X0))
=> pred_attacker(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax135) ).
fof(f140,axiom,
! [X0] :
( pred_attacker(X0)
=> pred_attacker(tuple_client_B_in_5(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax139) ).
fof(f142,axiom,
! [X0] :
( pred_attacker(X0)
=> pred_attacker(tuple_client_B_in_3(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax141) ).
fof(f144,axiom,
! [X0] :
( pred_attacker(X0)
=> pred_attacker(tuple_client_B_in_2(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax143) ).
fof(f162,axiom,
pred_attacker(constr_CONST_0x30),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax161) ).
fof(f170,axiom,
! [X0,X1,X2] :
( pred_attacker(tuple_3(X0,X1,X2))
=> pred_attacker(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax169) ).
fof(f172,axiom,
! [X0,X1] :
( ( pred_attacker(X0)
& pred_attacker(X1) )
=> pred_attacker(tuple_2(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax171) ).
fof(f174,axiom,
! [X0,X1] :
( pred_attacker(tuple_2(X0,X1))
=> pred_attacker(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax173) ).
fof(f192,axiom,
! [X0,X1,X2] :
( ( pred_eq_bitstring_bitstring(name_A,constr_tuple_2_get_1(constr_ecb_dec_2(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_ecb_enc_3(constr_tuple_2_get_0x30_bitstring(constr_ecb_dec_2(X1,name_skB)),name_Nb(X0),name_B,constr_tuple_2_get_1_bitstring(constr_checksign(X2,constr_pkey(name_skS)))))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax191) ).
fof(f193,axiom,
! [X0,X1,X2,X3] :
( ( pred_eq_bitstring_bitstring(name_Nb(X0),constr_ecb_dec_1(X2,name_skB))
& pred_attacker(tuple_client_B_in_5(X2))
& pred_eq_bitstring_bitstring(name_A,constr_tuple_2_get_1(constr_ecb_dec_2(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/sandbox/benchmark/theBenchmark.p',ax192) ).
fof(f194,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/sandbox/benchmark/theBenchmark.p',ax193) ).
fof(f195,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/sandbox/benchmark/theBenchmark.p',ax194) ).
fof(f196,conjecture,
! [X0] : pred_attacker(tuple_2(name_Nb(X0),name_objective)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co0) ).
fof(f197,negated_conjecture,
~ ! [X0] : pred_attacker(tuple_2(name_Nb(X0),name_objective)),
inference(negated_conjecture,[status(cth)],[f196]) ).
fof(f208,plain,
! [X0] :
( pred_attacker(constr_pkey(X0))
| ~ pred_attacker(X0) ),
inference(ennf_transformation,[],[f106]) ).
fof(f216,plain,
! [X0] :
( pred_attacker(X0)
| ~ pred_attacker(tuple_key_retrieval_server_out_2(X0)) ),
inference(ennf_transformation,[],[f114]) ).
fof(f217,plain,
! [X0,X1] :
( pred_attacker(tuple_key_retrieval_server_in_1(X0,X1))
| ~ pred_attacker(X0)
| ~ pred_attacker(X1) ),
inference(ennf_transformation,[],[f115]) ).
fof(f218,plain,
! [X0,X1] :
( pred_attacker(tuple_key_retrieval_server_in_1(X0,X1))
| ~ pred_attacker(X0)
| ~ pred_attacker(X1) ),
inference(flattening,[],[f217]) ).
fof(f220,plain,
! [X0,X1] :
( pred_attacker(X1)
| ~ pred_attacker(tuple_key_retrieval_server_in_1(X0,X1)) ),
inference(ennf_transformation,[],[f117]) ).
fof(f221,plain,
! [X0,X1] :
( pred_attacker(tuple_key_register_server_in_1(X0,X1))
| ~ pred_attacker(X0)
| ~ pred_attacker(X1) ),
inference(ennf_transformation,[],[f118]) ).
fof(f222,plain,
! [X0,X1] :
( pred_attacker(tuple_key_register_server_in_1(X0,X1))
| ~ pred_attacker(X0)
| ~ pred_attacker(X1) ),
inference(flattening,[],[f221]) ).
fof(f234,plain,
! [X0,X1] :
( pred_attacker(constr_ecb_enc_1(X0,X1))
| ~ pred_attacker(X0)
| ~ pred_attacker(X1) ),
inference(ennf_transformation,[],[f127]) ).
fof(f235,plain,
! [X0,X1] :
( pred_attacker(constr_ecb_enc_1(X0,X1))
| ~ pred_attacker(X0)
| ~ pred_attacker(X1) ),
inference(flattening,[],[f234]) ).
fof(f240,plain,
! [X0,X1] :
( pred_attacker(constr_ecb_dec_2(X0,X1))
| ~ pred_attacker(X0)
| ~ pred_attacker(X1) ),
inference(ennf_transformation,[],[f130]) ).
fof(f241,plain,
! [X0,X1] :
( pred_attacker(constr_ecb_dec_2(X0,X1))
| ~ pred_attacker(X0)
| ~ pred_attacker(X1) ),
inference(flattening,[],[f240]) ).
fof(f247,plain,
! [X0] :
( pred_attacker(X0)
| ~ pred_attacker(tuple_client_B_out_6(X0)) ),
inference(ennf_transformation,[],[f134]) ).
fof(f249,plain,
! [X0] :
( pred_attacker(X0)
| ~ pred_attacker(tuple_client_B_out_4(X0)) ),
inference(ennf_transformation,[],[f136]) ).
fof(f254,plain,
! [X0] :
( pred_attacker(tuple_client_B_in_5(X0))
| ~ pred_attacker(X0) ),
inference(ennf_transformation,[],[f140]) ).
fof(f256,plain,
! [X0] :
( pred_attacker(tuple_client_B_in_3(X0))
| ~ pred_attacker(X0) ),
inference(ennf_transformation,[],[f142]) ).
fof(f258,plain,
! [X0] :
( pred_attacker(tuple_client_B_in_2(X0))
| ~ pred_attacker(X0) ),
inference(ennf_transformation,[],[f144]) ).
fof(f283,plain,
! [X0,X1,X2] :
( pred_attacker(X1)
| ~ pred_attacker(tuple_3(X0,X1,X2)) ),
inference(ennf_transformation,[],[f170]) ).
fof(f285,plain,
! [X0,X1] :
( pred_attacker(tuple_2(X0,X1))
| ~ pred_attacker(X0)
| ~ pred_attacker(X1) ),
inference(ennf_transformation,[],[f172]) ).
fof(f286,plain,
! [X0,X1] :
( pred_attacker(tuple_2(X0,X1))
| ~ pred_attacker(X0)
| ~ pred_attacker(X1) ),
inference(flattening,[],[f285]) ).
fof(f288,plain,
! [X0,X1] :
( pred_attacker(X1)
| ~ pred_attacker(tuple_2(X0,X1)) ),
inference(ennf_transformation,[],[f174]) ).
fof(f297,plain,
! [X0,X1,X2] :
( pred_attacker(tuple_client_B_out_4(constr_ecb_enc_3(constr_tuple_2_get_0x30_bitstring(constr_ecb_dec_2(X1,name_skB)),name_Nb(X0),name_B,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_ecb_dec_2(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,[],[f192]) ).
fof(f298,plain,
! [X0,X1,X2] :
( pred_attacker(tuple_client_B_out_4(constr_ecb_enc_3(constr_tuple_2_get_0x30_bitstring(constr_ecb_dec_2(X1,name_skB)),name_Nb(X0),name_B,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_ecb_dec_2(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,[],[f297]) ).
fof(f299,plain,
! [X0,X1,X2,X3] :
( pred_attacker(tuple_client_B_out_6(name_objective))
| ~ pred_eq_bitstring_bitstring(name_Nb(X0),constr_ecb_dec_1(X2,name_skB))
| ~ pred_attacker(tuple_client_B_in_5(X2))
| ~ pred_eq_bitstring_bitstring(name_A,constr_tuple_2_get_1(constr_ecb_dec_2(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,[],[f193]) ).
fof(f300,plain,
! [X0,X1,X2,X3] :
( pred_attacker(tuple_client_B_out_6(name_objective))
| ~ pred_eq_bitstring_bitstring(name_Nb(X0),constr_ecb_dec_1(X2,name_skB))
| ~ pred_attacker(tuple_client_B_in_5(X2))
| ~ pred_eq_bitstring_bitstring(name_A,constr_tuple_2_get_1(constr_ecb_dec_2(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,[],[f299]) ).
fof(f301,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,[],[f194]) ).
fof(f302,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,[],[f301]) ).
fof(f303,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,[],[f195]) ).
fof(f304,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,[],[f303]) ).
fof(f305,plain,
? [X0] : ~ pred_attacker(tuple_2(name_Nb(X0),name_objective)),
inference(ennf_transformation,[],[f197]) ).
fof(f306,plain,
~ pred_attacker(tuple_2(name_Nb(sK0),name_objective)),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X0,sK0)],[f305]) ).
fof(f311,plain,
constr_CONST_0x30 != name_A,
inference(cnf_transformation,[],[f5]) ).
fof(f312,plain,
constr_CONST_0x30 != name_B,
inference(cnf_transformation,[],[f6]) ).
fof(f387,plain,
! [X0,X1] : constr_checksign(constr_sign(X1,X0),constr_pkey(X0)) = X1,
inference(cnf_transformation,[],[f81]) ).
fof(f390,plain,
! [X2,X0,X1] : constr_ecb_dec_2(constr_ecb_enc_2(X1,X2,constr_pkey(X0)),X0) = tuple_2(X1,X2),
inference(cnf_transformation,[],[f84]) ).
fof(f393,plain,
! [X2,X3,X0,X1] : constr_ecb_enc_3(X1,X2,X3,X0) = tuple_3(constr_ecb_enc_1(X1,X0),constr_ecb_enc_1(X2,X0),constr_ecb_enc_1(X3,X0)),
inference(cnf_transformation,[],[f87]) ).
fof(f394,plain,
! [X2,X0,X1] : constr_ecb_enc_2(X1,X2,X0) = tuple_2(constr_ecb_enc_1(X1,X0),constr_ecb_enc_1(X2,X0)),
inference(cnf_transformation,[],[f88]) ).
fof(f396,plain,
! [X0,X1] : constr_tuple_2_get_1_bitstring(tuple_2(X0,X1)) = X1,
inference(cnf_transformation,[],[f90]) ).
fof(f402,plain,
! [X0,X1] : pred_eq_bitstring_bitstring(X0,X1),
inference(cnf_transformation,[],[f96]) ).
fof(f412,plain,
! [X0] :
( pred_attacker(constr_pkey(X0))
| ~ pred_attacker(X0) ),
inference(cnf_transformation,[],[f208]) ).
fof(f420,plain,
! [X0] :
( ~ pred_attacker(tuple_key_retrieval_server_out_2(X0))
| pred_attacker(X0) ),
inference(cnf_transformation,[],[f216]) ).
fof(f421,plain,
! [X0,X1] :
( pred_attacker(tuple_key_retrieval_server_in_1(X0,X1))
| ~ pred_attacker(X0)
| ~ pred_attacker(X1) ),
inference(cnf_transformation,[],[f218]) ).
fof(f423,plain,
! [X0,X1] :
( ~ pred_attacker(tuple_key_retrieval_server_in_1(X0,X1))
| pred_attacker(X1) ),
inference(cnf_transformation,[],[f220]) ).
fof(f424,plain,
! [X0,X1] :
( pred_attacker(tuple_key_register_server_in_1(X0,X1))
| ~ pred_attacker(X0)
| ~ pred_attacker(X1) ),
inference(cnf_transformation,[],[f222]) ).
fof(f433,plain,
! [X0,X1] :
( pred_attacker(constr_ecb_enc_1(X0,X1))
| ~ pred_attacker(X0)
| ~ pred_attacker(X1) ),
inference(cnf_transformation,[],[f235]) ).
fof(f436,plain,
! [X0,X1] :
( pred_attacker(constr_ecb_dec_2(X0,X1))
| ~ pred_attacker(X0)
| ~ pred_attacker(X1) ),
inference(cnf_transformation,[],[f241]) ).
fof(f440,plain,
! [X0] :
( ~ pred_attacker(tuple_client_B_out_6(X0))
| pred_attacker(X0) ),
inference(cnf_transformation,[],[f247]) ).
fof(f442,plain,
! [X0] :
( ~ pred_attacker(tuple_client_B_out_4(X0))
| pred_attacker(X0) ),
inference(cnf_transformation,[],[f249]) ).
fof(f446,plain,
! [X0] :
( pred_attacker(tuple_client_B_in_5(X0))
| ~ pred_attacker(X0) ),
inference(cnf_transformation,[],[f254]) ).
fof(f448,plain,
! [X0] :
( pred_attacker(tuple_client_B_in_3(X0))
| ~ pred_attacker(X0) ),
inference(cnf_transformation,[],[f256]) ).
fof(f450,plain,
! [X0] :
( pred_attacker(tuple_client_B_in_2(X0))
| ~ pred_attacker(X0) ),
inference(cnf_transformation,[],[f258]) ).
fof(f468,plain,
pred_attacker(constr_CONST_0x30),
inference(cnf_transformation,[],[f162]) ).
fof(f476,plain,
! [X2,X0,X1] :
( ~ pred_attacker(tuple_3(X0,X1,X2))
| pred_attacker(X1) ),
inference(cnf_transformation,[],[f283]) ).
fof(f478,plain,
! [X0,X1] :
( pred_attacker(tuple_2(X0,X1))
| ~ pred_attacker(X0)
| ~ pred_attacker(X1) ),
inference(cnf_transformation,[],[f286]) ).
fof(f480,plain,
! [X0,X1] :
( ~ pred_attacker(tuple_2(X0,X1))
| pred_attacker(X1) ),
inference(cnf_transformation,[],[f288]) ).
fof(f497,plain,
! [X2,X0,X1] :
( pred_attacker(tuple_client_B_out_4(constr_ecb_enc_3(constr_tuple_2_get_0x30_bitstring(constr_ecb_dec_2(X1,name_skB)),name_Nb(X0),name_B,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_ecb_dec_2(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(cnf_transformation,[],[f298]) ).
fof(f498,plain,
! [X2,X3,X0,X1] :
( pred_attacker(tuple_client_B_out_6(name_objective))
| ~ pred_eq_bitstring_bitstring(name_Nb(X0),constr_ecb_dec_1(X2,name_skB))
| ~ pred_attacker(tuple_client_B_in_5(X2))
| ~ pred_eq_bitstring_bitstring(name_A,constr_tuple_2_get_1(constr_ecb_dec_2(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(cnf_transformation,[],[f300]) ).
fof(f499,plain,
! [X2,X0,X1] :
( ~ pred_table(tuple_keys(X0,X1))
| pred_attacker(tuple_key_retrieval_server_out_2(constr_sign(tuple_2(X0,X1),name_skS)))
| ~ pred_attacker(tuple_key_retrieval_server_in_1(X2,X0)) ),
inference(cnf_transformation,[],[f302]) ).
fof(f500,plain,
! [X0,X1] :
( ~ pred_attacker(tuple_key_register_server_in_1(X0,X1))
| name_B = X0
| name_A = X0
| pred_table(tuple_keys(X0,X1)) ),
inference(cnf_transformation,[],[f304]) ).
fof(f501,plain,
~ pred_attacker(tuple_2(name_Nb(sK0),name_objective)),
inference(cnf_transformation,[],[f306]) ).
fof(f503,definition,
( spl1_1
<=> ! [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_2(X3)) ) ),
introduced(definition,[new_symbols(definition,[spl1_1])],[avatar_definition]) ).
fof(f504,plain,
( ! [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_2(X3)) )
| ~ spl1_1 ),
inference(avatar_component_clause,[],[f503]) ).
fof(f506,definition,
( spl1_2
<=> ! [X1] :
( ~ pred_eq_bitstring_bitstring(name_A,constr_tuple_2_get_1(constr_ecb_dec_2(X1,name_skB)))
| ~ pred_attacker(tuple_client_B_in_3(X1)) ) ),
introduced(definition,[new_symbols(definition,[spl1_2])],[avatar_definition]) ).
fof(f507,plain,
( ! [X1] :
( ~ pred_attacker(tuple_client_B_in_3(X1))
| ~ pred_eq_bitstring_bitstring(name_A,constr_tuple_2_get_1(constr_ecb_dec_2(X1,name_skB))) )
| ~ spl1_2 ),
inference(avatar_component_clause,[],[f506]) ).
fof(f509,definition,
( spl1_3
<=> ! [X2,X0] :
( ~ pred_eq_bitstring_bitstring(name_Nb(X0),constr_ecb_dec_1(X2,name_skB))
| ~ pred_attacker(tuple_client_B_in_5(X2)) ) ),
introduced(definition,[new_symbols(definition,[spl1_3])],[avatar_definition]) ).
fof(f510,plain,
( ! [X2,X0] :
( ~ pred_eq_bitstring_bitstring(name_Nb(X0),constr_ecb_dec_1(X2,name_skB))
| ~ pred_attacker(tuple_client_B_in_5(X2)) )
| ~ spl1_3 ),
inference(avatar_component_clause,[],[f509]) ).
fof(f512,definition,
( spl1_4
<=> pred_attacker(tuple_client_B_out_6(name_objective)) ),
introduced(definition,[new_symbols(definition,[spl1_4])],[avatar_definition]) ).
fof(f514,plain,
( pred_attacker(tuple_client_B_out_6(name_objective))
| ~ spl1_4 ),
inference(avatar_component_clause,[],[f512]) ).
fof(f515,plain,
( spl1_1
| spl1_2
| spl1_3
| spl1_4 ),
inference(avatar_split_clause,[],[f498,f512,f509,f506,f503]) ).
fof(f520,definition,
( spl1_5
<=> pred_attacker(name_objective) ),
introduced(definition,[new_symbols(definition,[spl1_5])],[avatar_definition]) ).
fof(f521,plain,
( pred_attacker(name_objective)
| ~ spl1_5 ),
inference(avatar_component_clause,[],[f520]) ).
fof(f532,plain,
! [X2,X0,X1] :
( pred_attacker(constr_ecb_enc_2(X0,X1,X2))
| ~ pred_attacker(constr_ecb_enc_1(X0,X2))
| ~ pred_attacker(constr_ecb_enc_1(X1,X2)) ),
inference(superposition,[],[f478,f394]) ).
fof(f534,plain,
! [X2,X0,X1] :
( pred_attacker(constr_ecb_enc_1(X1,X2))
| ~ pred_attacker(constr_ecb_enc_2(X0,X1,X2)) ),
inference(superposition,[],[f480,f394]) ).
fof(f543,plain,
( ! [X0] :
( ~ pred_attacker(X0)
| ~ pred_eq_bitstring_bitstring(name_A,constr_tuple_2_get_1(constr_ecb_dec_2(X0,name_skB))) )
| ~ spl1_2 ),
inference(resolution,[],[f448,f507]) ).
fof(f544,plain,
( ! [X0] : ~ pred_attacker(X0)
| ~ spl1_2 ),
inference(forward_subsumption_resolution,[],[f543,f402]) ).
fof(f545,plain,
( $false
| ~ spl1_2 ),
inference(resolution,[],[f544,f468]) ).
fof(f589,plain,
~ spl1_2,
inference(avatar_contradiction_clause,[],[f545]) ).
fof(f590,plain,
( ! [X2] : ~ pred_attacker(tuple_client_B_in_5(X2))
| ~ spl1_3 ),
inference(forward_subsumption_resolution,[],[f510,f402]) ).
fof(f591,plain,
! [X2,X0,X1] :
( pred_attacker(tuple_client_B_out_4(constr_ecb_enc_3(constr_tuple_2_get_0x30_bitstring(constr_ecb_dec_2(X1,name_skB)),name_Nb(X0),name_B,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_ecb_dec_2(X1,name_skB)))
| ~ pred_attacker(tuple_client_B_in_3(X1))
| ~ pred_attacker(tuple_client_B_in_2(X2)) ),
inference(forward_subsumption_resolution,[],[f497,f402]) ).
fof(f592,plain,
! [X2,X0,X1] :
( ~ pred_attacker(tuple_client_B_in_2(X2))
| ~ pred_attacker(tuple_client_B_in_3(X1))
| pred_attacker(tuple_client_B_out_4(constr_ecb_enc_3(constr_tuple_2_get_0x30_bitstring(constr_ecb_dec_2(X1,name_skB)),name_Nb(X0),name_B,constr_tuple_2_get_1_bitstring(constr_checksign(X2,constr_pkey(name_skS)))))) ),
inference(forward_subsumption_resolution,[],[f591,f402]) ).
fof(f593,plain,
( ! [X0] : ~ pred_attacker(X0)
| ~ spl1_3 ),
inference(resolution,[],[f590,f446]) ).
fof(f594,plain,
( $false
| ~ spl1_3 ),
inference(resolution,[],[f593,f468]) ).
fof(f638,plain,
~ spl1_3,
inference(avatar_contradiction_clause,[],[f594]) ).
fof(f639,plain,
( pred_attacker(name_objective)
| ~ spl1_4 ),
inference(resolution,[],[f514,f440]) ).
fof(f642,plain,
( ! [X3] : ~ pred_attacker(tuple_client_B_in_2(X3))
| ~ spl1_1 ),
inference(forward_subsumption_resolution,[],[f504,f402]) ).
fof(f645,plain,
( ! [X0] : ~ pred_attacker(X0)
| ~ spl1_1 ),
inference(forward_subsumption_resolution,[],[f450,f642]) ).
fof(f646,plain,
( $false
| ~ spl1_1 ),
inference(resolution,[],[f645,f468]) ).
fof(f690,plain,
~ spl1_1,
inference(avatar_contradiction_clause,[],[f646]) ).
fof(f691,plain,
( spl1_5
| ~ spl1_4 ),
inference(avatar_split_clause,[],[f639,f512,f520]) ).
fof(f693,plain,
! [X2,X0,X1] :
( ~ pred_attacker(tuple_client_B_in_3(X1))
| ~ pred_attacker(X0)
| pred_attacker(tuple_client_B_out_4(constr_ecb_enc_3(constr_tuple_2_get_0x30_bitstring(constr_ecb_dec_2(X1,name_skB)),name_Nb(X2),name_B,constr_tuple_2_get_1_bitstring(constr_checksign(X0,constr_pkey(name_skS)))))) ),
inference(resolution,[],[f450,f592]) ).
fof(f777,plain,
! [X2,X0,X1] :
( ~ pred_attacker(constr_ecb_enc_2(X0,X1,constr_pkey(X2)))
| pred_attacker(tuple_2(X0,X1))
| ~ pred_attacker(X2) ),
inference(superposition,[],[f436,f390]) ).
fof(f811,plain,
! [X2,X3,X0,X1] :
( pred_attacker(constr_ecb_enc_1(X1,X3))
| ~ pred_attacker(constr_ecb_enc_3(X0,X1,X2,X3)) ),
inference(superposition,[],[f476,f393]) ).
fof(f815,plain,
! [X0,X1] :
( pred_table(tuple_keys(X0,X1))
| ~ pred_attacker(X1)
| name_B = X0
| name_A = X0
| ~ pred_attacker(X0) ),
inference(resolution,[],[f424,f500]) ).
fof(f847,plain,
! [X2,X0,X1] :
( pred_attacker(tuple_2(X0,X1))
| ~ pred_attacker(X2)
| ~ pred_attacker(constr_ecb_enc_1(X0,constr_pkey(X2)))
| ~ pred_attacker(constr_ecb_enc_1(X1,constr_pkey(X2))) ),
inference(resolution,[],[f777,f532]) ).
fof(f857,plain,
! [X2,X0,X1] :
( pred_attacker(tuple_client_B_out_4(constr_ecb_enc_3(constr_tuple_2_get_0x30_bitstring(constr_ecb_dec_2(X1,name_skB)),name_Nb(X2),name_B,constr_tuple_2_get_1_bitstring(constr_checksign(X0,constr_pkey(name_skS))))))
| ~ pred_attacker(X0)
| ~ pred_attacker(X1) ),
inference(resolution,[],[f693,f448]) ).
fof(f872,plain,
! [X2,X0,X1] :
( ~ pred_attacker(X0)
| name_B = X1
| name_A = X1
| ~ pred_attacker(X1)
| pred_attacker(tuple_key_retrieval_server_out_2(constr_sign(tuple_2(X1,X0),name_skS)))
| ~ pred_attacker(tuple_key_retrieval_server_in_1(X2,X1)) ),
inference(resolution,[],[f815,f499]) ).
fof(f873,plain,
! [X2,X0,X1] :
( ~ pred_attacker(tuple_key_retrieval_server_in_1(X2,X1))
| name_B = X1
| name_A = X1
| pred_attacker(tuple_key_retrieval_server_out_2(constr_sign(tuple_2(X1,X0),name_skS)))
| ~ pred_attacker(X0) ),
inference(forward_subsumption_resolution,[],[f872,f423]) ).
fof(f879,plain,
! [X0] :
( ~ pred_attacker(constr_ecb_enc_1(name_Nb(sK0),constr_pkey(X0)))
| ~ pred_attacker(X0)
| ~ pred_attacker(constr_ecb_enc_1(name_objective,constr_pkey(X0))) ),
inference(resolution,[],[f847,f501]) ).
fof(f882,plain,
! [X2,X3,X0,X1] :
( pred_attacker(constr_ecb_enc_2(X0,X1,X2))
| ~ pred_attacker(X3)
| ~ pred_attacker(constr_ecb_enc_1(constr_ecb_enc_1(X0,X2),constr_pkey(X3)))
| ~ pred_attacker(constr_ecb_enc_1(constr_ecb_enc_1(X1,X2),constr_pkey(X3))) ),
inference(superposition,[],[f847,f394]) ).
fof(f885,plain,
! [X0,X1] :
( ~ pred_attacker(constr_ecb_enc_2(X1,name_Nb(sK0),constr_pkey(X0)))
| ~ pred_attacker(constr_ecb_enc_1(name_objective,constr_pkey(X0)))
| ~ pred_attacker(X0) ),
inference(resolution,[],[f879,f534]) ).
fof(f903,plain,
! [X2,X0,X1] :
( pred_attacker(constr_ecb_enc_3(constr_tuple_2_get_0x30_bitstring(constr_ecb_dec_2(X1,name_skB)),name_Nb(X2),name_B,constr_tuple_2_get_1_bitstring(constr_checksign(X0,constr_pkey(name_skS)))))
| ~ pred_attacker(X1)
| ~ pred_attacker(X0) ),
inference(resolution,[],[f857,f442]) ).
fof(f966,plain,
! [X2,X0,X1] :
( ~ pred_attacker(constr_sign(X0,name_skS))
| ~ pred_attacker(X1)
| pred_attacker(constr_ecb_enc_3(constr_tuple_2_get_0x30_bitstring(constr_ecb_dec_2(X1,name_skB)),name_Nb(X2),name_B,constr_tuple_2_get_1_bitstring(X0))) ),
inference(superposition,[],[f903,f387]) ).
fof(f987,plain,
! [X2,X0,X1] :
( name_B = X0
| name_A = X0
| pred_attacker(tuple_key_retrieval_server_out_2(constr_sign(tuple_2(X0,X1),name_skS)))
| ~ pred_attacker(X1)
| ~ pred_attacker(X2)
| ~ pred_attacker(X0) ),
inference(resolution,[],[f873,f421]) ).
fof(f990,definition,
( spl1_17
<=> ! [X2] : ~ pred_attacker(X2) ),
introduced(definition,[new_symbols(definition,[spl1_17])],[avatar_definition]) ).
fof(f991,plain,
( ! [X2] : ~ pred_attacker(X2)
| ~ spl1_17 ),
inference(avatar_component_clause,[],[f990]) ).
fof(f993,definition,
( spl1_18
<=> ! [X0,X1] :
( name_B = X0
| ~ pred_attacker(X0)
| ~ pred_attacker(X1)
| pred_attacker(tuple_key_retrieval_server_out_2(constr_sign(tuple_2(X0,X1),name_skS)))
| name_A = X0 ) ),
introduced(definition,[new_symbols(definition,[spl1_18])],[avatar_definition]) ).
fof(f994,plain,
( ! [X0,X1] :
( pred_attacker(tuple_key_retrieval_server_out_2(constr_sign(tuple_2(X0,X1),name_skS)))
| ~ pred_attacker(X0)
| ~ pred_attacker(X1)
| name_B = X0
| name_A = X0 )
| ~ spl1_18 ),
inference(avatar_component_clause,[],[f993]) ).
fof(f995,plain,
( spl1_17
| spl1_18 ),
inference(avatar_split_clause,[],[f987,f993,f990]) ).
fof(f996,plain,
( $false
| ~ spl1_17 ),
inference(resolution,[],[f991,f468]) ).
fof(f1119,plain,
~ spl1_17,
inference(avatar_contradiction_clause,[],[f996]) ).
fof(f1125,plain,
! [X2,X0,X1] :
( ~ pred_attacker(constr_ecb_enc_1(name_objective,constr_pkey(X2)))
| ~ pred_attacker(constr_ecb_enc_1(constr_ecb_enc_1(X1,constr_pkey(X2)),constr_pkey(X0)))
| ~ pred_attacker(constr_ecb_enc_1(constr_ecb_enc_1(name_Nb(sK0),constr_pkey(X2)),constr_pkey(X0)))
| ~ pred_attacker(X0)
| ~ pred_attacker(X2) ),
inference(resolution,[],[f882,f885]) ).
fof(f1127,plain,
! [X2,X0,X1] :
( ~ pred_attacker(constr_ecb_enc_1(constr_ecb_enc_1(X0,constr_pkey(X1)),constr_pkey(X2)))
| ~ pred_attacker(constr_ecb_enc_1(constr_ecb_enc_1(name_Nb(sK0),constr_pkey(X1)),constr_pkey(X2)))
| ~ pred_attacker(X2)
| ~ pred_attacker(X1)
| ~ pred_attacker(name_objective)
| ~ pred_attacker(constr_pkey(X1)) ),
inference(resolution,[],[f1125,f433]) ).
fof(f1138,plain,
( ! [X2,X0,X1] :
( ~ pred_attacker(constr_ecb_enc_1(constr_ecb_enc_1(X0,constr_pkey(X1)),constr_pkey(X2)))
| ~ pred_attacker(constr_ecb_enc_1(constr_ecb_enc_1(name_Nb(sK0),constr_pkey(X1)),constr_pkey(X2)))
| ~ pred_attacker(X2)
| ~ pred_attacker(X1)
| ~ pred_attacker(constr_pkey(X1)) )
| ~ spl1_5 ),
inference(forward_subsumption_resolution,[],[f1127,f521]) ).
fof(f1139,plain,
( ! [X2,X0,X1] :
( ~ pred_attacker(constr_ecb_enc_1(constr_ecb_enc_1(name_Nb(sK0),constr_pkey(X1)),constr_pkey(X2)))
| ~ pred_attacker(constr_ecb_enc_1(constr_ecb_enc_1(X0,constr_pkey(X1)),constr_pkey(X2)))
| ~ pred_attacker(X2)
| ~ pred_attacker(X1) )
| ~ spl1_5 ),
inference(forward_subsumption_resolution,[],[f1138,f412]) ).
fof(f1154,plain,
( ! [X0,X1] :
( ~ pred_attacker(constr_ecb_enc_1(constr_ecb_enc_1(name_Nb(sK0),constr_pkey(X0)),constr_pkey(X1)))
| ~ pred_attacker(X1)
| ~ pred_attacker(X0) )
| ~ spl1_5 ),
inference(factoring,[],[f1139]) ).
fof(f1161,plain,
( ! [X0,X1] :
( ~ pred_attacker(X0)
| ~ pred_attacker(X1)
| ~ pred_attacker(constr_ecb_enc_1(name_Nb(sK0),constr_pkey(X1)))
| ~ pred_attacker(constr_pkey(X0)) )
| ~ spl1_5 ),
inference(resolution,[],[f1154,f433]) ).
fof(f1171,plain,
( ! [X0,X1] :
( ~ pred_attacker(X0)
| ~ pred_attacker(X1)
| ~ pred_attacker(constr_ecb_enc_1(name_Nb(sK0),constr_pkey(X1))) )
| ~ spl1_5 ),
inference(forward_subsumption_resolution,[],[f1161,f412]) ).
fof(f1173,definition,
( spl1_19
<=> ! [X1] :
( ~ pred_attacker(X1)
| ~ pred_attacker(constr_ecb_enc_1(name_Nb(sK0),constr_pkey(X1))) ) ),
introduced(definition,[new_symbols(definition,[spl1_19])],[avatar_definition]) ).
fof(f1174,plain,
( ! [X1] :
( ~ pred_attacker(constr_ecb_enc_1(name_Nb(sK0),constr_pkey(X1)))
| ~ pred_attacker(X1) )
| ~ spl1_19 ),
inference(avatar_component_clause,[],[f1173]) ).
fof(f1175,plain,
( spl1_19
| spl1_17
| ~ spl1_5 ),
inference(avatar_split_clause,[],[f1171,f520,f990,f1173]) ).
fof(f1182,plain,
( ! [X2,X0,X1] :
( ~ pred_attacker(constr_ecb_enc_3(X1,name_Nb(sK0),X2,constr_pkey(X0)))
| ~ pred_attacker(X0) )
| ~ spl1_19 ),
inference(resolution,[],[f1174,f811]) ).
fof(f1230,plain,
( ! [X0,X1] :
( pred_attacker(constr_sign(tuple_2(X0,X1),name_skS))
| ~ pred_attacker(X1)
| name_B = X0
| name_A = X0
| ~ pred_attacker(X0) )
| ~ spl1_18 ),
inference(resolution,[],[f994,f420]) ).
fof(f1406,plain,
( ! [X2,X3,X0,X1] :
( ~ pred_attacker(X0)
| name_B = X1
| name_A = X1
| ~ pred_attacker(X1)
| ~ pred_attacker(X2)
| pred_attacker(constr_ecb_enc_3(constr_tuple_2_get_0x30_bitstring(constr_ecb_dec_2(X2,name_skB)),name_Nb(X3),name_B,constr_tuple_2_get_1_bitstring(tuple_2(X1,X0)))) )
| ~ spl1_18 ),
inference(resolution,[],[f1230,f966]) ).
fof(f1415,plain,
( ! [X2,X3,X0,X1] :
( pred_attacker(constr_ecb_enc_3(constr_tuple_2_get_0x30_bitstring(constr_ecb_dec_2(X2,name_skB)),name_Nb(X3),name_B,X0))
| ~ pred_attacker(X0)
| name_B = X1
| name_A = X1
| ~ pred_attacker(X1)
| ~ pred_attacker(X2) )
| ~ spl1_18 ),
inference(forward_demodulation,[],[f1406,f396]) ).
fof(f1420,definition,
( spl1_21
<=> ! [X1] :
( name_B = X1
| ~ pred_attacker(X1)
| name_A = X1 ) ),
introduced(definition,[new_symbols(definition,[spl1_21])],[avatar_definition]) ).
fof(f1421,plain,
( ! [X1] :
( ~ pred_attacker(X1)
| name_B = X1
| name_A = X1 )
| ~ spl1_21 ),
inference(avatar_component_clause,[],[f1420]) ).
fof(f1431,definition,
( spl1_24
<=> ! [X2,X0,X3] :
( pred_attacker(constr_ecb_enc_3(constr_tuple_2_get_0x30_bitstring(constr_ecb_dec_2(X2,name_skB)),name_Nb(X3),name_B,X0))
| ~ pred_attacker(X2)
| ~ pred_attacker(X0) ) ),
introduced(definition,[new_symbols(definition,[spl1_24])],[avatar_definition]) ).
fof(f1432,plain,
( ! [X2,X3,X0] :
( pred_attacker(constr_ecb_enc_3(constr_tuple_2_get_0x30_bitstring(constr_ecb_dec_2(X2,name_skB)),name_Nb(X3),name_B,X0))
| ~ pred_attacker(X2)
| ~ pred_attacker(X0) )
| ~ spl1_24 ),
inference(avatar_component_clause,[],[f1431]) ).
fof(f1433,plain,
( spl1_21
| spl1_24
| ~ spl1_18 ),
inference(avatar_split_clause,[],[f1415,f993,f1431,f1420]) ).
fof(f1696,plain,
( constr_CONST_0x30 = name_B
| constr_CONST_0x30 = name_A
| ~ spl1_21 ),
inference(resolution,[],[f1421,f468]) ).
fof(f1986,plain,
( constr_CONST_0x30 = name_A
| ~ spl1_21 ),
inference(forward_subsumption_resolution,[],[f1696,f312]) ).
fof(f2001,plain,
( $false
| ~ spl1_21 ),
inference(forward_subsumption_resolution,[],[f1986,f311]) ).
fof(f2002,plain,
~ spl1_21,
inference(avatar_contradiction_clause,[],[f2001]) ).
fof(f2180,plain,
( ! [X0,X1] :
( ~ pred_attacker(X0)
| ~ pred_attacker(constr_pkey(X1))
| ~ pred_attacker(X1) )
| ~ spl1_19
| ~ spl1_24 ),
inference(resolution,[],[f1432,f1182]) ).
fof(f2192,plain,
( ! [X0,X1] :
( ~ pred_attacker(X0)
| ~ pred_attacker(X1) )
| ~ spl1_19
| ~ spl1_24 ),
inference(forward_subsumption_resolution,[],[f2180,f412]) ).
fof(f2209,plain,
( spl1_17
| spl1_17
| ~ spl1_19
| ~ spl1_24 ),
inference(avatar_split_clause,[],[f2192,f1431,f1173,f990,f990]) ).
cnf(s1,plain,
( spl1_1
| spl1_2
| spl1_3
| spl1_4 ),
inference(sat_conversion,[],[f515]) ).
cnf(s19,plain,
~ spl1_2,
inference(sat_conversion,[],[f589]) ).
cnf(s36,plain,
~ spl1_3,
inference(sat_conversion,[],[f638]) ).
cnf(s54,plain,
~ spl1_1,
inference(sat_conversion,[],[f690]) ).
cnf(s55,plain,
( ~ spl1_4
| spl1_5 ),
inference(sat_conversion,[],[f691]) ).
cnf(s83,plain,
( spl1_17
| spl1_18 ),
inference(sat_conversion,[],[f995]) ).
cnf(s115,plain,
~ spl1_17,
inference(sat_conversion,[],[f1119]) ).
cnf(s116,plain,
( ~ spl1_5
| spl1_17
| spl1_19 ),
inference(sat_conversion,[],[f1175]) ).
cnf(s121,plain,
( ~ spl1_18
| spl1_21
| spl1_24 ),
inference(sat_conversion,[],[f1433]) ).
cnf(s149,plain,
~ spl1_21,
inference(sat_conversion,[],[f2002]) ).
cnf(s165,plain,
( spl1_17
| spl1_17
| ~ spl1_19
| ~ spl1_24 ),
inference(sat_conversion,[],[f2209]) ).
cnf(s166,plain,
( spl1_17
| ~ spl1_19
| ~ spl1_24 ),
inference(rat,[],[s165]) ).
cnf(s170,plain,
( ~ spl1_18
| spl1_24 ),
inference(rat,[],[s121,s149]) ).
cnf(s174,plain,
spl1_18,
inference(rat,[],[s83,s115]) ).
cnf(s178,plain,
spl1_24,
inference(rat,[],[s170,s174]) ).
cnf(s185,plain,
~ spl1_19,
inference(rat,[],[s166,s115,s178]) ).
cnf(s187,plain,
~ spl1_5,
inference(rat,[],[s116,s115,s185]) ).
cnf(s194,plain,
~ spl1_4,
inference(rat,[],[s55,s187]) ).
cnf(s195,plain,
$false,
inference(rat,[],[s1,s194,s36,s19,s54]) ).
fof(f2210,plain,
$false,
inference(avatar_sat_refutation,[],[s195]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWW964+1 : TPTP v9.3.1. Released v7.4.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.20 % Computer : n008.cluster.edu
% 0.08/0.20 % Model : x86_64 x86_64
% 0.08/0.20 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.20 % Memory : 8046.5625MB
% 0.08/0.20 % OS : Linux 6.8.0-71-generic
% 0.08/0.20 % CPULimit : 300
% 0.08/0.20 % WCLimit : 300
% 0.08/0.20 % DateTime : Mon Sep 28 14:50:09 UTC 2026
% 0.08/0.20 % CPUTime :
% 0.08/0.20 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.23 Running first-order theorem proving
% 0.08/0.23 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.11/1.14 % (2305693)Detected formulas, will run a generic FOF schedule.
% 3.11/1.14 % (2305698)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=3414042371:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 3.11/1.14 % (2305703)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2628875567:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 3.11/1.14 % (2305704)dis-21_1_sil=8000:lcm=predicate:random_seed=885505845: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)
% 3.11/1.14 % (2305702)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1378048488:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 3.11/1.14 % (2305700)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=1815268027:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 3.11/1.14 % (2305701)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3450647789:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 3.11/1.14 % (2305699)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=3443084338:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 3.11/1.14 % (2305701)Refutation not found, incomplete strategy
% 3.11/1.14 % (2305701)------------------------------
% 3.11/1.14 % (2305701)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.11/1.14 % (2305701)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.11/1.14 % (2305701)CaDiCaL version: 2.1.3
% 3.11/1.14 % (2305701)Termination reason: Refutation not found, incomplete strategy
% 3.11/1.14 % (2305701)Time elapsed: 0.001 s
% 3.11/1.14 % (2305701)Peak memory usage: 88 MB
% 3.11/1.14 % (2305701)Instructions burned: 1 (million)
% 3.11/1.14 % (2305702)Refutation not found, incomplete strategy
% 3.11/1.14 % (2305702)------------------------------
% 3.11/1.14 % (2305702)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.11/1.14 % (2305702)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.11/1.14 % (2305702)CaDiCaL version: 2.1.3
% 3.11/1.14 % (2305702)Termination reason: Refutation not found, incomplete strategy
% 3.11/1.14 % (2305702)Time elapsed: 0.006 s
% 3.11/1.14 % (2305702)Peak memory usage: 88 MB
% 3.11/1.14 % (2305702)Instructions burned: 8 (million)
% 3.11/1.14 % (2305704)Refutation not found, incomplete strategy
% 3.11/1.14 % (2305704)------------------------------
% 3.11/1.14 % (2305704)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.11/1.14 % (2305704)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.11/1.14 % (2305704)CaDiCaL version: 2.1.3
% 3.11/1.14 % (2305704)Termination reason: Refutation not found, incomplete strategy
% 3.11/1.14 % (2305704)Time elapsed: 0.011 s
% 3.11/1.14 % (2305704)Peak memory usage: 89 MB
% 3.11/1.14 % (2305704)Instructions burned: 17 (million)
% 3.11/1.14 % (2305703)First to succeed.
% 3.11/1.14 % (2305703)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2305693"
% 3.11/1.14 % (2305702)------------------------------
% 3.11/1.14 % (2305702)------------------------------
% 3.11/1.14 % (2305701)------------------------------
% 3.11/1.14 % (2305701)------------------------------
% 3.11/1.14 % (2305704)------------------------------
% 3.11/1.14 % (2305704)------------------------------
% 3.11/1.14 % (2305703)Refutation found. Thanks to Tanya!
% 3.11/1.14 % SZS status Theorem for theBenchmark
% 3.11/1.14 % SZS output start Proof for theBenchmark
% See solution above
% 3.88/1.27 % (2305703)------------------------------
% 3.88/1.27 % (2305703)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.88/1.27 % (2305703)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.88/1.27 % (2305703)CaDiCaL version: 2.1.3
% 3.88/1.27 % (2305703)Termination reason: Refutation
% 3.88/1.27 % (2305703)Time elapsed: 0.078 s
% 3.88/1.27 % (2305703)Peak memory usage: 91 MB
% 3.88/1.27 % (2305703)Instructions burned: 116 (million)
% 3.88/1.27 % (2305703)------------------------------
% 3.88/1.27 % (2305703)------------------------------
% 3.88/1.27 % (2305693)Success in time 0.474 s
% 3.88/1.27 % Vampire exiting
%------------------------------------------------------------------------------