%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWW966+1 : TPTP v9.3.1. Released v7.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n014.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 01:38:07 PM UTC 2026
% Result : Theorem 6.87s 1.79s
% Output : Refutation 8.48s
% Verified :
% SZS Type : Refutation
% Derivation depth : 24
% Number of leaves : 41
% Syntax : Number of formulae : 179 ( 43 unt; 10 def)
% Number of atoms : 464 ( 45 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 518 ( 233 ~; 239 |; 16 &)
% ( 10 <=>; 20 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 5 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 15 ( 13 usr; 11 prp; 0-2 aty)
% Number of functors : 31 ( 31 usr; 7 con; 0-2 aty)
% Number of variables : 245 ( 0 sgn 244 !; 1 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f6,axiom,
constr_CONST_0x30 != name_A,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax5) ).
fof(f7,axiom,
constr_CONST_0x30 != name_B,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax6) ).
fof(f92,axiom,
! [X0,X1] : constr_adec(constr_aenc(X1,constr_pkey(X0)),X0) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax91) ).
fof(f95,axiom,
! [X0,X1] : constr_checksign(constr_sign(X1,X0),constr_pkey(X0)) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax94) ).
fof(f98,axiom,
! [X0,X1] : constr_xor(X0,X1) = constr_xor(X1,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax97) ).
fof(f100,axiom,
! [X0,X1] : constr_tuple_2_get_1_bitstring(tuple_2(X0,X1)) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax99) ).
fof(f104,axiom,
! [X0,X1] : pred_eq_bitstring_bitstring(X0,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax103) ).
fof(f112,axiom,
! [X0] :
( pred_attacker(X0)
=> pred_attacker(constr_pkey(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax111) ).
fof(f116,axiom,
! [X0] :
( pred_attacker(tuple_out_2(X0))
=> pred_attacker(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax115) ).
fof(f120,axiom,
! [X0] :
( pred_attacker(tuple_key_retrieval_server_out_2(X0))
=> pred_attacker(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax119) ).
fof(f121,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',ax120) ).
fof(f123,axiom,
! [X0,X1] :
( pred_attacker(tuple_key_retrieval_server_in_1(X0,X1))
=> pred_attacker(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax122) ).
fof(f124,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',ax123) ).
fof(f132,axiom,
! [X0] :
( pred_attacker(tuple_client_B_out_6(X0))
=> pred_attacker(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax131) ).
fof(f134,axiom,
! [X0] :
( pred_attacker(tuple_client_B_out_4(X0))
=> pred_attacker(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax133) ).
fof(f138,axiom,
! [X0] :
( pred_attacker(X0)
=> pred_attacker(tuple_client_B_in_5(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax137) ).
fof(f140,axiom,
! [X0] :
( pred_attacker(X0)
=> pred_attacker(tuple_client_B_in_3(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax139) ).
fof(f142,axiom,
! [X0] :
( pred_attacker(X0)
=> pred_attacker(tuple_client_B_in_2(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax141) ).
fof(f153,axiom,
! [X0] :
( pred_attacker(X0)
=> pred_attacker(tuple_client_A_in_2(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax152) ).
fof(f156,axiom,
! [X0,X1] :
( ( pred_attacker(X0)
& pred_attacker(X1) )
=> pred_attacker(constr_aenc(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax155) ).
fof(f157,axiom,
! [X0,X1] :
( ( pred_attacker(X0)
& pred_attacker(X1) )
=> pred_attacker(constr_adec(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax156) ).
fof(f163,axiom,
pred_attacker(constr_CONST_0x30),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax162) ).
fof(f164,axiom,
! [X0,X1] :
( ( pred_attacker(X0)
& pred_attacker(X1) )
=> pred_attacker(tuple_2(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax163) ).
fof(f166,axiom,
! [X0,X1] :
( pred_attacker(tuple_2(X0,X1))
=> pred_attacker(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax165) ).
fof(f174,axiom,
! [X0] : pred_attacker(name_new0x2Dname(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax173) ).
fof(f178,axiom,
pred_attacker(tuple_out_2(constr_pkey(name_skB))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax177) ).
fof(f184,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_xor(constr_tuple_2_get_0x30_bitstring(constr_adec(X1,name_skB)),name_B),name_Nb(X0)),constr_tuple_2_get_1_bitstring(constr_checksign(X2,constr_pkey(name_skS)))))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax183) ).
fof(f185,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',ax184) ).
fof(f186,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',ax185) ).
fof(f187,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',ax186) ).
fof(f188,conjecture,
! [X0] : pred_attacker(tuple_2(name_Nb(X0),name_objective)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co0) ).
fof(f189,negated_conjecture,
~ ! [X0] : pred_attacker(tuple_2(name_Nb(X0),name_objective)),
inference(negated_conjecture,[status(cth)],[f188]) ).
fof(f198,plain,
! [X0] :
( pred_attacker(constr_pkey(X0))
| ~ pred_attacker(X0) ),
inference(ennf_transformation,[],[f112]) ).
fof(f202,plain,
! [X0] :
( pred_attacker(X0)
| ~ pred_attacker(tuple_out_2(X0)) ),
inference(ennf_transformation,[],[f116]) ).
fof(f206,plain,
! [X0] :
( pred_attacker(X0)
| ~ pred_attacker(tuple_key_retrieval_server_out_2(X0)) ),
inference(ennf_transformation,[],[f120]) ).
fof(f207,plain,
! [X0,X1] :
( pred_attacker(tuple_key_retrieval_server_in_1(X0,X1))
| ~ pred_attacker(X0)
| ~ pred_attacker(X1) ),
inference(ennf_transformation,[],[f121]) ).
fof(f208,plain,
! [X0,X1] :
( pred_attacker(tuple_key_retrieval_server_in_1(X0,X1))
| ~ pred_attacker(X0)
| ~ pred_attacker(X1) ),
inference(flattening,[],[f207]) ).
fof(f210,plain,
! [X0,X1] :
( pred_attacker(X1)
| ~ pred_attacker(tuple_key_retrieval_server_in_1(X0,X1)) ),
inference(ennf_transformation,[],[f123]) ).
fof(f211,plain,
! [X0,X1] :
( pred_attacker(tuple_key_register_server_in_1(X0,X1))
| ~ pred_attacker(X0)
| ~ pred_attacker(X1) ),
inference(ennf_transformation,[],[f124]) ).
fof(f212,plain,
! [X0,X1] :
( pred_attacker(tuple_key_register_server_in_1(X0,X1))
| ~ pred_attacker(X0)
| ~ pred_attacker(X1) ),
inference(flattening,[],[f211]) ).
fof(f221,plain,
! [X0] :
( pred_attacker(X0)
| ~ pred_attacker(tuple_client_B_out_6(X0)) ),
inference(ennf_transformation,[],[f132]) ).
fof(f223,plain,
! [X0] :
( pred_attacker(X0)
| ~ pred_attacker(tuple_client_B_out_4(X0)) ),
inference(ennf_transformation,[],[f134]) ).
fof(f228,plain,
! [X0] :
( pred_attacker(tuple_client_B_in_5(X0))
| ~ pred_attacker(X0) ),
inference(ennf_transformation,[],[f138]) ).
fof(f230,plain,
! [X0] :
( pred_attacker(tuple_client_B_in_3(X0))
| ~ pred_attacker(X0) ),
inference(ennf_transformation,[],[f140]) ).
fof(f232,plain,
! [X0] :
( pred_attacker(tuple_client_B_in_2(X0))
| ~ pred_attacker(X0) ),
inference(ennf_transformation,[],[f142]) ).
fof(f244,plain,
! [X0] :
( pred_attacker(tuple_client_A_in_2(X0))
| ~ pred_attacker(X0) ),
inference(ennf_transformation,[],[f153]) ).
fof(f248,plain,
! [X0,X1] :
( pred_attacker(constr_aenc(X0,X1))
| ~ pred_attacker(X0)
| ~ pred_attacker(X1) ),
inference(ennf_transformation,[],[f156]) ).
fof(f249,plain,
! [X0,X1] :
( pred_attacker(constr_aenc(X0,X1))
| ~ pred_attacker(X0)
| ~ pred_attacker(X1) ),
inference(flattening,[],[f248]) ).
fof(f250,plain,
! [X0,X1] :
( pred_attacker(constr_adec(X0,X1))
| ~ pred_attacker(X0)
| ~ pred_attacker(X1) ),
inference(ennf_transformation,[],[f157]) ).
fof(f251,plain,
! [X0,X1] :
( pred_attacker(constr_adec(X0,X1))
| ~ pred_attacker(X0)
| ~ pred_attacker(X1) ),
inference(flattening,[],[f250]) ).
fof(f252,plain,
! [X0,X1] :
( pred_attacker(tuple_2(X0,X1))
| ~ pred_attacker(X0)
| ~ pred_attacker(X1) ),
inference(ennf_transformation,[],[f164]) ).
fof(f253,plain,
! [X0,X1] :
( pred_attacker(tuple_2(X0,X1))
| ~ pred_attacker(X0)
| ~ pred_attacker(X1) ),
inference(flattening,[],[f252]) ).
fof(f255,plain,
! [X0,X1] :
( pred_attacker(X1)
| ~ pred_attacker(tuple_2(X0,X1)) ),
inference(ennf_transformation,[],[f166]) ).
fof(f264,plain,
! [X0,X1,X2] :
( pred_attacker(tuple_client_B_out_4(constr_aenc(tuple_2(constr_xor(constr_tuple_2_get_0x30_bitstring(constr_adec(X1,name_skB)),name_B),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,[],[f184]) ).
fof(f265,plain,
! [X0,X1,X2] :
( pred_attacker(tuple_client_B_out_4(constr_aenc(tuple_2(constr_xor(constr_tuple_2_get_0x30_bitstring(constr_adec(X1,name_skB)),name_B),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,[],[f264]) ).
fof(f266,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,[],[f185]) ).
fof(f267,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,[],[f266]) ).
fof(f268,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,[],[f186]) ).
fof(f269,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,[],[f268]) ).
fof(f270,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,[],[f187]) ).
fof(f271,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,[],[f270]) ).
fof(f272,plain,
? [X0] : ~ pred_attacker(tuple_2(name_Nb(X0),name_objective)),
inference(ennf_transformation,[],[f189]) ).
fof(f273,plain,
~ pred_attacker(tuple_2(name_Nb(sK0),name_objective)),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X0,sK0)],[f272]) ).
fof(f279,plain,
constr_CONST_0x30 != name_A,
inference(cnf_transformation,[],[f6]) ).
fof(f280,plain,
constr_CONST_0x30 != name_B,
inference(cnf_transformation,[],[f7]) ).
fof(f365,plain,
! [X0,X1] : constr_adec(constr_aenc(X1,constr_pkey(X0)),X0) = X1,
inference(cnf_transformation,[],[f92]) ).
fof(f368,plain,
! [X0,X1] : constr_checksign(constr_sign(X1,X0),constr_pkey(X0)) = X1,
inference(cnf_transformation,[],[f95]) ).
fof(f371,plain,
! [X0,X1] : constr_xor(X0,X1) = constr_xor(X1,X0),
inference(cnf_transformation,[],[f98]) ).
fof(f373,plain,
! [X0,X1] : constr_tuple_2_get_1_bitstring(tuple_2(X0,X1)) = X1,
inference(cnf_transformation,[],[f100]) ).
fof(f377,plain,
! [X0,X1] : pred_eq_bitstring_bitstring(X0,X1),
inference(cnf_transformation,[],[f104]) ).
fof(f385,plain,
! [X0] :
( pred_attacker(constr_pkey(X0))
| ~ pred_attacker(X0) ),
inference(cnf_transformation,[],[f198]) ).
fof(f389,plain,
! [X0] :
( ~ pred_attacker(tuple_out_2(X0))
| pred_attacker(X0) ),
inference(cnf_transformation,[],[f202]) ).
fof(f393,plain,
! [X0] :
( ~ pred_attacker(tuple_key_retrieval_server_out_2(X0))
| pred_attacker(X0) ),
inference(cnf_transformation,[],[f206]) ).
fof(f394,plain,
! [X0,X1] :
( pred_attacker(tuple_key_retrieval_server_in_1(X0,X1))
| ~ pred_attacker(X0)
| ~ pred_attacker(X1) ),
inference(cnf_transformation,[],[f208]) ).
fof(f396,plain,
! [X0,X1] :
( ~ pred_attacker(tuple_key_retrieval_server_in_1(X0,X1))
| pred_attacker(X1) ),
inference(cnf_transformation,[],[f210]) ).
fof(f397,plain,
! [X0,X1] :
( pred_attacker(tuple_key_register_server_in_1(X0,X1))
| ~ pred_attacker(X0)
| ~ pred_attacker(X1) ),
inference(cnf_transformation,[],[f212]) ).
fof(f405,plain,
! [X0] :
( ~ pred_attacker(tuple_client_B_out_6(X0))
| pred_attacker(X0) ),
inference(cnf_transformation,[],[f221]) ).
fof(f407,plain,
! [X0] :
( ~ pred_attacker(tuple_client_B_out_4(X0))
| pred_attacker(X0) ),
inference(cnf_transformation,[],[f223]) ).
fof(f411,plain,
! [X0] :
( pred_attacker(tuple_client_B_in_5(X0))
| ~ pred_attacker(X0) ),
inference(cnf_transformation,[],[f228]) ).
fof(f413,plain,
! [X0] :
( pred_attacker(tuple_client_B_in_3(X0))
| ~ pred_attacker(X0) ),
inference(cnf_transformation,[],[f230]) ).
fof(f415,plain,
! [X0] :
( pred_attacker(tuple_client_B_in_2(X0))
| ~ pred_attacker(X0) ),
inference(cnf_transformation,[],[f232]) ).
fof(f426,plain,
! [X0] :
( pred_attacker(tuple_client_A_in_2(X0))
| ~ pred_attacker(X0) ),
inference(cnf_transformation,[],[f244]) ).
fof(f429,plain,
! [X0,X1] :
( pred_attacker(constr_aenc(X0,X1))
| ~ pred_attacker(X0)
| ~ pred_attacker(X1) ),
inference(cnf_transformation,[],[f249]) ).
fof(f430,plain,
! [X0,X1] :
( pred_attacker(constr_adec(X0,X1))
| ~ pred_attacker(X0)
| ~ pred_attacker(X1) ),
inference(cnf_transformation,[],[f251]) ).
fof(f436,plain,
pred_attacker(constr_CONST_0x30),
inference(cnf_transformation,[],[f163]) ).
fof(f437,plain,
! [X0,X1] :
( pred_attacker(tuple_2(X0,X1))
| ~ pred_attacker(X0)
| ~ pred_attacker(X1) ),
inference(cnf_transformation,[],[f253]) ).
fof(f439,plain,
! [X0,X1] :
( ~ pred_attacker(tuple_2(X0,X1))
| pred_attacker(X1) ),
inference(cnf_transformation,[],[f255]) ).
fof(f447,plain,
! [X0] : pred_attacker(name_new0x2Dname(X0)),
inference(cnf_transformation,[],[f174]) ).
fof(f451,plain,
pred_attacker(tuple_out_2(constr_pkey(name_skB))),
inference(cnf_transformation,[],[f178]) ).
fof(f457,plain,
! [X2,X0,X1] :
( ~ pred_attacker(tuple_client_B_in_2(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_out_4(constr_aenc(tuple_2(constr_xor(constr_tuple_2_get_0x30_bitstring(constr_adec(X1,name_skB)),name_B),name_Nb(X0)),constr_tuple_2_get_1_bitstring(constr_checksign(X2,constr_pkey(name_skS)))))) ),
inference(cnf_transformation,[],[f265]) ).
fof(f458,plain,
! [X2,X3,X0,X1] :
( 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(cnf_transformation,[],[f267]) ).
fof(f459,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,[],[f269]) ).
fof(f460,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,[],[f271]) ).
fof(f461,plain,
~ pred_attacker(tuple_2(name_Nb(sK0),name_objective)),
inference(cnf_transformation,[],[f273]) ).
fof(f463,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(f464,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,[],[f463]) ).
fof(f466,definition,
( spl1_2
<=> ! [X1] :
( ~ pred_eq_bitstring_bitstring(name_A,constr_tuple_2_get_1(constr_adec(X1,name_skB)))
| ~ pred_attacker(tuple_client_B_in_3(X1)) ) ),
introduced(definition,[new_symbols(definition,[spl1_2])],[avatar_definition]) ).
fof(f467,plain,
( ! [X1] :
( ~ pred_eq_bitstring_bitstring(name_A,constr_tuple_2_get_1(constr_adec(X1,name_skB)))
| ~ pred_attacker(tuple_client_B_in_3(X1)) )
| ~ spl1_2 ),
inference(avatar_component_clause,[],[f466]) ).
fof(f469,definition,
( spl1_3
<=> ! [X2,X0] :
( ~ pred_eq_bitstring_bitstring(name_Nb(X0),constr_adec(X2,name_skB))
| ~ pred_attacker(tuple_client_B_in_5(X2)) ) ),
introduced(definition,[new_symbols(definition,[spl1_3])],[avatar_definition]) ).
fof(f470,plain,
( ! [X2,X0] :
( ~ pred_eq_bitstring_bitstring(name_Nb(X0),constr_adec(X2,name_skB))
| ~ pred_attacker(tuple_client_B_in_5(X2)) )
| ~ spl1_3 ),
inference(avatar_component_clause,[],[f469]) ).
fof(f472,definition,
( spl1_4
<=> pred_attacker(tuple_client_B_out_6(name_objective)) ),
introduced(definition,[new_symbols(definition,[spl1_4])],[avatar_definition]) ).
fof(f473,plain,
( pred_attacker(tuple_client_B_out_6(name_objective))
| ~ spl1_4 ),
inference(avatar_component_clause,[],[f472]) ).
fof(f474,plain,
( spl1_1
| spl1_2
| spl1_3
| spl1_4 ),
inference(avatar_split_clause,[],[f458,f472,f469,f466,f463]) ).
fof(f475,plain,
( ! [X1] : ~ pred_attacker(tuple_client_B_in_3(X1))
| ~ spl1_2 ),
inference(forward_subsumption_resolution,[],[f467,f377]) ).
fof(f476,plain,
( ! [X0] : ~ pred_attacker(X0)
| ~ spl1_2 ),
inference(resolution,[],[f413,f475]) ).
fof(f485,plain,
( $false
| ~ spl1_2 ),
inference(unit_resulting_resolution,[],[f415,f476,f447]) ).
fof(f492,plain,
~ spl1_2,
inference(avatar_contradiction_clause,[],[f485]) ).
fof(f493,plain,
( ! [X2] : ~ pred_attacker(tuple_client_B_in_5(X2))
| ~ spl1_3 ),
inference(forward_subsumption_resolution,[],[f470,f377]) ).
fof(f494,plain,
( $false
| ~ spl1_3 ),
inference(unit_resulting_resolution,[],[f411,f447,f493]) ).
fof(f496,plain,
~ spl1_3,
inference(avatar_contradiction_clause,[],[f494]) ).
fof(f497,plain,
( pred_attacker(name_objective)
| ~ spl1_4 ),
inference(resolution,[],[f473,f405]) ).
fof(f524,plain,
pred_attacker(constr_pkey(name_skB)),
inference(resolution,[],[f451,f389]) ).
fof(f527,plain,
! [X2,X0,X1] :
( ~ pred_eq_bitstring_bitstring(name_A,constr_tuple_2_get_1(constr_adec(X0,name_skB)))
| ~ pred_attacker(tuple_client_B_in_3(X0))
| ~ pred_eq_bitstring_bitstring(name_A,constr_tuple_2_get_0x30(constr_checksign(X1,constr_pkey(name_skS))))
| pred_attacker(tuple_client_B_out_4(constr_aenc(tuple_2(constr_xor(constr_tuple_2_get_0x30_bitstring(constr_adec(X0,name_skB)),name_B),name_Nb(X2)),constr_tuple_2_get_1_bitstring(constr_checksign(X1,constr_pkey(name_skS))))))
| ~ pred_attacker(X1) ),
inference(resolution,[],[f457,f415]) ).
fof(f528,plain,
! [X2,X0,X1] :
( ~ pred_eq_bitstring_bitstring(name_A,constr_tuple_2_get_1(constr_adec(X0,name_skB)))
| ~ pred_attacker(tuple_client_B_in_3(X0))
| pred_attacker(tuple_client_B_out_4(constr_aenc(tuple_2(constr_xor(constr_tuple_2_get_0x30_bitstring(constr_adec(X0,name_skB)),name_B),name_Nb(X2)),constr_tuple_2_get_1_bitstring(constr_checksign(X1,constr_pkey(name_skS))))))
| ~ pred_attacker(X1) ),
inference(forward_subsumption_resolution,[],[f527,f377]) ).
fof(f529,plain,
! [X2,X0,X1] :
( ~ pred_attacker(tuple_client_B_in_3(X0))
| pred_attacker(tuple_client_B_out_4(constr_aenc(tuple_2(constr_xor(constr_tuple_2_get_0x30_bitstring(constr_adec(X0,name_skB)),name_B),name_Nb(X2)),constr_tuple_2_get_1_bitstring(constr_checksign(X1,constr_pkey(name_skS))))))
| ~ pred_attacker(X1) ),
inference(forward_subsumption_resolution,[],[f528,f377]) ).
fof(f530,plain,
! [X2,X0,X1] :
( ~ pred_attacker(tuple_client_B_in_3(X0))
| pred_attacker(tuple_client_B_out_4(constr_aenc(tuple_2(constr_xor(name_B,constr_tuple_2_get_0x30_bitstring(constr_adec(X0,name_skB))),name_Nb(X2)),constr_tuple_2_get_1_bitstring(constr_checksign(X1,constr_pkey(name_skS))))))
| ~ pred_attacker(X1) ),
inference(forward_demodulation,[],[f529,f371]) ).
fof(f531,plain,
! [X2,X0,X1] :
( pred_attacker(tuple_client_B_out_4(constr_aenc(tuple_2(constr_xor(name_B,constr_tuple_2_get_0x30_bitstring(constr_adec(X0,name_skB))),name_Nb(X1)),constr_tuple_2_get_1_bitstring(constr_checksign(X2,constr_pkey(name_skS))))))
| ~ pred_attacker(X2)
| ~ pred_attacker(X0) ),
inference(resolution,[],[f530,f413]) ).
fof(f560,plain,
! [X0,X1] :
( pred_table(tuple_keys(X0,X1))
| ~ pred_attacker(X1)
| name_B = X0
| name_A = X0
| ~ pred_attacker(X0) ),
inference(resolution,[],[f397,f460]) ).
fof(f564,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,[],[f560,f459]) ).
fof(f565,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,[],[f564,f396]) ).
fof(f568,plain,
! [X0,X1] :
( ~ pred_attacker(constr_aenc(X0,constr_pkey(X1)))
| pred_attacker(X0)
| ~ pred_attacker(X1) ),
inference(superposition,[],[f430,f365]) ).
fof(f590,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,[],[f565,f394]) ).
fof(f592,definition,
( spl1_5
<=> ! [X2] : ~ pred_attacker(X2) ),
introduced(definition,[new_symbols(definition,[spl1_5])],[avatar_definition]) ).
fof(f593,plain,
( ! [X2] : ~ pred_attacker(X2)
| ~ spl1_5 ),
inference(avatar_component_clause,[],[f592]) ).
fof(f595,definition,
( spl1_6
<=> ! [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_6])],[avatar_definition]) ).
fof(f596,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_6 ),
inference(avatar_component_clause,[],[f595]) ).
fof(f597,plain,
( spl1_5
| spl1_6 ),
inference(avatar_split_clause,[],[f590,f595,f592]) ).
fof(f754,plain,
( $false
| ~ spl1_5 ),
inference(unit_resulting_resolution,[],[f426,f436,f593]) ).
fof(f975,plain,
~ spl1_5,
inference(avatar_contradiction_clause,[],[f754]) ).
fof(f976,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_6 ),
inference(resolution,[],[f596,f393]) ).
fof(f984,plain,
! [X2,X0,X1] :
( pred_attacker(constr_aenc(tuple_2(constr_xor(name_B,constr_tuple_2_get_0x30_bitstring(constr_adec(X1,name_skB))),name_Nb(X2)),constr_tuple_2_get_1_bitstring(constr_checksign(X0,constr_pkey(name_skS)))))
| ~ pred_attacker(X1)
| ~ pred_attacker(X0) ),
inference(resolution,[],[f531,f407]) ).
fof(f1122,plain,
! [X2,X0,X1] :
( ~ pred_attacker(constr_aenc(X0,constr_pkey(name_skB)))
| pred_attacker(constr_aenc(tuple_2(constr_xor(name_B,constr_tuple_2_get_0x30_bitstring(X0)),name_Nb(X1)),constr_tuple_2_get_1_bitstring(constr_checksign(X2,constr_pkey(name_skS)))))
| ~ pred_attacker(X2) ),
inference(superposition,[],[f984,f365]) ).
fof(f1124,plain,
! [X2,X0,X1] :
( pred_attacker(constr_aenc(tuple_2(constr_xor(name_B,constr_tuple_2_get_0x30_bitstring(X0)),name_Nb(X1)),constr_tuple_2_get_1_bitstring(constr_checksign(X2,constr_pkey(name_skS)))))
| ~ pred_attacker(X2)
| ~ pred_attacker(X0)
| ~ pred_attacker(constr_pkey(name_skB)) ),
inference(resolution,[],[f1122,f429]) ).
fof(f1125,plain,
! [X2,X0,X1] :
( pred_attacker(constr_aenc(tuple_2(constr_xor(name_B,constr_tuple_2_get_0x30_bitstring(X0)),name_Nb(X1)),constr_tuple_2_get_1_bitstring(constr_checksign(X2,constr_pkey(name_skS)))))
| ~ pred_attacker(X2)
| ~ pred_attacker(X0) ),
inference(forward_subsumption_resolution,[],[f1124,f524]) ).
fof(f1127,plain,
! [X2,X0,X1] :
( ~ pred_attacker(constr_sign(X0,name_skS))
| pred_attacker(constr_aenc(tuple_2(constr_xor(name_B,constr_tuple_2_get_0x30_bitstring(X1)),name_Nb(X2)),constr_tuple_2_get_1_bitstring(X0)))
| ~ pred_attacker(X1) ),
inference(superposition,[],[f1125,f368]) ).
fof(f1128,plain,
( ! [X2,X3,X0,X1] :
( pred_attacker(constr_aenc(tuple_2(constr_xor(name_B,constr_tuple_2_get_0x30_bitstring(X0)),name_Nb(X1)),constr_tuple_2_get_1_bitstring(tuple_2(X2,X3))))
| ~ pred_attacker(X0)
| ~ pred_attacker(X3)
| name_B = X2
| name_A = X2
| ~ pred_attacker(X2) )
| ~ spl1_6 ),
inference(resolution,[],[f1127,f976]) ).
fof(f1137,plain,
( ! [X2,X3,X0,X1] :
( pred_attacker(constr_aenc(tuple_2(constr_xor(name_B,constr_tuple_2_get_0x30_bitstring(X0)),name_Nb(X1)),X3))
| ~ pred_attacker(X0)
| ~ pred_attacker(X3)
| name_B = X2
| name_A = X2
| ~ pred_attacker(X2) )
| ~ spl1_6 ),
inference(forward_demodulation,[],[f1128,f373]) ).
fof(f1139,definition,
( spl1_11
<=> ! [X2] :
( name_B = X2
| ~ pred_attacker(X2)
| name_A = X2 ) ),
introduced(definition,[new_symbols(definition,[spl1_11])],[avatar_definition]) ).
fof(f1140,plain,
( ! [X2] :
( ~ pred_attacker(X2)
| name_B = X2
| name_A = X2 )
| ~ spl1_11 ),
inference(avatar_component_clause,[],[f1139]) ).
fof(f1142,definition,
( spl1_12
<=> ! [X0,X1,X3] :
( pred_attacker(constr_aenc(tuple_2(constr_xor(name_B,constr_tuple_2_get_0x30_bitstring(X0)),name_Nb(X1)),X3))
| ~ pred_attacker(X3)
| ~ pred_attacker(X0) ) ),
introduced(definition,[new_symbols(definition,[spl1_12])],[avatar_definition]) ).
fof(f1143,plain,
( ! [X3,X0,X1] :
( pred_attacker(constr_aenc(tuple_2(constr_xor(name_B,constr_tuple_2_get_0x30_bitstring(X0)),name_Nb(X1)),X3))
| ~ pred_attacker(X3)
| ~ pred_attacker(X0) )
| ~ spl1_12 ),
inference(avatar_component_clause,[],[f1142]) ).
fof(f1144,plain,
( spl1_11
| spl1_12
| ~ spl1_6 ),
inference(avatar_split_clause,[],[f1137,f595,f1142,f1139]) ).
fof(f1145,plain,
( constr_CONST_0x30 = name_B
| constr_CONST_0x30 = name_A
| ~ spl1_11 ),
inference(resolution,[],[f1140,f436]) ).
fof(f1298,plain,
( constr_CONST_0x30 = name_A
| ~ spl1_11 ),
inference(forward_subsumption_resolution,[],[f1145,f280]) ).
fof(f1315,plain,
( $false
| ~ spl1_11 ),
inference(forward_subsumption_resolution,[],[f1298,f279]) ).
fof(f1316,plain,
~ spl1_11,
inference(avatar_contradiction_clause,[],[f1315]) ).
fof(f1317,plain,
( ! [X2,X0,X1] :
( ~ pred_attacker(constr_pkey(X0))
| ~ pred_attacker(X1)
| pred_attacker(tuple_2(constr_xor(name_B,constr_tuple_2_get_0x30_bitstring(X1)),name_Nb(X2)))
| ~ pred_attacker(X0) )
| ~ spl1_12 ),
inference(resolution,[],[f1143,f568]) ).
fof(f1321,plain,
( ! [X2,X0,X1] :
( ~ pred_attacker(X1)
| pred_attacker(tuple_2(constr_xor(name_B,constr_tuple_2_get_0x30_bitstring(X1)),name_Nb(X2)))
| ~ pred_attacker(X0) )
| ~ spl1_12 ),
inference(forward_subsumption_resolution,[],[f1317,f385]) ).
fof(f1324,definition,
( spl1_37
<=> ! [X2,X1] :
( ~ pred_attacker(X1)
| pred_attacker(tuple_2(constr_xor(name_B,constr_tuple_2_get_0x30_bitstring(X1)),name_Nb(X2))) ) ),
introduced(definition,[new_symbols(definition,[spl1_37])],[avatar_definition]) ).
fof(f1325,plain,
( ! [X2,X1] :
( pred_attacker(tuple_2(constr_xor(name_B,constr_tuple_2_get_0x30_bitstring(X1)),name_Nb(X2)))
| ~ pred_attacker(X1) )
| ~ spl1_37 ),
inference(avatar_component_clause,[],[f1324]) ).
fof(f1326,plain,
( spl1_5
| spl1_37
| ~ spl1_12 ),
inference(avatar_split_clause,[],[f1321,f1142,f1324,f592]) ).
fof(f1328,plain,
( ! [X0,X1] :
( ~ pred_attacker(X0)
| pred_attacker(name_Nb(X1)) )
| ~ spl1_37 ),
inference(resolution,[],[f1325,f439]) ).
fof(f1332,definition,
( spl1_38
<=> ! [X1] : pred_attacker(name_Nb(X1)) ),
introduced(definition,[new_symbols(definition,[spl1_38])],[avatar_definition]) ).
fof(f1333,plain,
( ! [X1] : pred_attacker(name_Nb(X1))
| ~ spl1_38 ),
inference(avatar_component_clause,[],[f1332]) ).
fof(f1334,plain,
( spl1_38
| spl1_5
| ~ spl1_37 ),
inference(avatar_split_clause,[],[f1328,f1324,f592,f1332]) ).
fof(f1336,plain,
( $false
| ~ spl1_4
| ~ spl1_38 ),
inference(unit_resulting_resolution,[],[f437,f497,f461,f1333]) ).
fof(f1340,plain,
( ~ spl1_4
| ~ spl1_38 ),
inference(avatar_contradiction_clause,[],[f1336]) ).
fof(f1341,plain,
( ! [X3] : ~ pred_attacker(tuple_client_B_in_2(X3))
| ~ spl1_1 ),
inference(forward_subsumption_resolution,[],[f464,f377]) ).
fof(f1343,plain,
( $false
| ~ spl1_1 ),
inference(unit_resulting_resolution,[],[f415,f436,f1341]) ).
fof(f1345,plain,
~ spl1_1,
inference(avatar_contradiction_clause,[],[f1343]) ).
cnf(s1,plain,
( spl1_1
| spl1_2
| spl1_3
| spl1_4 ),
inference(sat_conversion,[],[f474]) ).
cnf(s7,plain,
~ spl1_2,
inference(sat_conversion,[],[f492]) ).
cnf(s8,plain,
~ spl1_3,
inference(sat_conversion,[],[f496]) ).
cnf(s9,plain,
( spl1_5
| spl1_6 ),
inference(sat_conversion,[],[f597]) ).
cnf(s189,plain,
~ spl1_5,
inference(sat_conversion,[],[f975]) ).
cnf(s194,plain,
( ~ spl1_6
| spl1_11
| spl1_12 ),
inference(sat_conversion,[],[f1144]) ).
cnf(s215,plain,
~ spl1_11,
inference(sat_conversion,[],[f1316]) ).
cnf(s216,plain,
( spl1_5
| ~ spl1_12
| spl1_37 ),
inference(sat_conversion,[],[f1326]) ).
cnf(s217,plain,
( spl1_5
| ~ spl1_37
| spl1_38 ),
inference(sat_conversion,[],[f1334]) ).
cnf(s220,plain,
( ~ spl1_4
| ~ spl1_38 ),
inference(sat_conversion,[],[f1340]) ).
cnf(s221,plain,
~ spl1_1,
inference(sat_conversion,[],[f1345]) ).
cnf(s223,plain,
( ~ spl1_6
| spl1_12 ),
inference(rat,[],[s194,s215]) ).
cnf(s225,plain,
spl1_6,
inference(rat,[],[s9,s189]) ).
cnf(s226,plain,
spl1_12,
inference(rat,[],[s223,s225]) ).
cnf(s227,plain,
spl1_37,
inference(rat,[],[s216,s189,s226]) ).
cnf(s228,plain,
spl1_38,
inference(rat,[],[s217,s189,s227]) ).
cnf(s229,plain,
~ spl1_4,
inference(rat,[],[s220,s228]) ).
cnf(s230,plain,
$false,
inference(rat,[],[s1,s229,s8,s7,s221]) ).
fof(f1347,plain,
$false,
inference(avatar_sat_refutation,[],[s230]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWW966+1 : TPTP v9.3.1. Released v7.4.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.07/0.19 % Computer : n014.cluster.edu
% 0.07/0.19 % Model : x86_64 x86_64
% 0.07/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.19 % Memory : 8046.5625MB
% 0.07/0.19 % OS : Linux 6.8.0-71-generic
% 0.07/0.19 % CPULimit : 300
% 0.07/0.19 % WCLimit : 300
% 0.07/0.19 % DateTime : Mon Sep 28 14:49:16 UTC 2026
% 0.07/0.19 % CPUTime :
% 0.07/0.19 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.07/0.23 Running first-order theorem proving
% 0.07/0.23 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 6.87/1.79 % (1825753)Detected formulas, will run a generic FOF schedule.
% 6.87/1.79 % (1825760)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=420437954:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 6.87/1.79 % (1825759)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=2321206108:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 6.87/1.79 % (1825761)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2120620456:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 6.87/1.79 % (1825763)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1242237045:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 6.87/1.79 % (1825764)dis-21_1_sil=8000:lcm=predicate:random_seed=889497776: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)
% 6.87/1.79 % (1825758)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=2160233585:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 6.87/1.79 % (1825762)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=439469667:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 6.87/1.79 % (1825761)Refutation not found, incomplete strategy
% 6.87/1.79 % (1825761)------------------------------
% 6.87/1.79 % (1825761)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.87/1.79 % (1825761)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.87/1.79 % (1825761)CaDiCaL version: 2.1.3
% 6.87/1.79 % (1825761)Termination reason: Refutation not found, incomplete strategy
% 6.87/1.79 % (1825761)Time elapsed: 0.002 s
% 6.87/1.79 % (1825761)Peak memory usage: 88 MB
% 6.87/1.79 % (1825761)Instructions burned: 1 (million)
% 6.87/1.79 % (1825764)Refutation not found, incomplete strategy
% 6.87/1.79 % (1825764)------------------------------
% 6.87/1.79 % (1825764)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.87/1.79 % (1825764)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.87/1.79 % (1825764)CaDiCaL version: 2.1.3
% 6.87/1.79 % (1825764)Termination reason: Refutation not found, incomplete strategy
% 6.87/1.79 % (1825764)Time elapsed: 0.010 s
% 6.87/1.79 % (1825764)Peak memory usage: 88 MB
% 6.87/1.79 % (1825764)Instructions burned: 15 (million)
% 6.87/1.79 % (1825762)Instruction limit reached!
% 6.87/1.79 % (1825762)------------------------------
% 6.87/1.79 % (1825762)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.87/1.79 % (1825762)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.87/1.79 % (1825762)CaDiCaL version: 2.1.3
% 6.87/1.79 % (1825762)Termination reason: Instruction limit
% 6.87/1.79 % (1825762)Termination phase: Saturation
% 6.87/1.79 % (1825762)Time elapsed: 0.059 s
% 6.87/1.79 % (1825762)Peak memory usage: 88 MB
% 6.87/1.79 % (1825762)Instructions burned: 120 (million)
% 6.87/1.79 % (1825763)Instruction limit reached!
% 6.87/1.79 % (1825763)------------------------------
% 6.87/1.79 % (1825763)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.87/1.79 % (1825763)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.87/1.79 % (1825763)CaDiCaL version: 2.1.3
% 6.87/1.79 % (1825763)Termination reason: Instruction limit
% 6.87/1.79 % (1825763)Termination phase: Saturation
% 6.87/1.79 % (1825763)Time elapsed: 0.074 s
% 6.87/1.79 % (1825763)Peak memory usage: 89 MB
% 6.87/1.79 % (1825763)Instructions burned: 140 (million)
% 6.87/1.79 % (1825772)lrs+10_1_sil=8000:sp=occurrence:random_seed=3699709159:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 6.87/1.79 % (1825773)lrs+10_1_sil=32000:urr=on:br=off:random_seed=1168090416:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 6.87/1.79 % (1825761)------------------------------
% 6.87/1.79 % (1825761)------------------------------
% 6.87/1.79 % (1825764)------------------------------
% 6.87/1.79 % (1825764)------------------------------
% 6.87/1.79 % (1825773)Instruction limit reached!
% 6.87/1.79 % (1825773)------------------------------
% 6.87/1.79 % (1825773)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.87/1.79 % (1825773)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.87/1.79 % (1825773)CaDiCaL version: 2.1.3
% 6.87/1.79 % (1825773)Termination reason: Instruction limit
% 6.87/1.79 % (1825773)Termination phase: Saturation
% 6.87/1.79 % (1825773)Time elapsed: 0.086 s
% 6.87/1.79 % (1825773)Peak memory usage: 90 MB
% 6.87/1.79 % (1825773)Instructions burned: 158 (million)
% 6.87/1.79 % (1825772)Instruction limit reached!
% 6.87/1.79 % (1825772)------------------------------
% 6.87/1.79 % (1825772)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.87/1.79 % (1825772)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.87/1.79 % (1825772)CaDiCaL version: 2.1.3
% 6.87/1.79 % (1825772)Termination reason: Instruction limit
% 6.87/1.79 % (1825772)Termination phase: Saturation
% 6.87/1.79 % (1825772)Time elapsed: 0.146 s
% 6.87/1.79 % (1825772)Peak memory usage: 90 MB
% 6.87/1.79 % (1825772)Instructions burned: 286 (million)
% 6.87/1.79 % (1825776)lrs+1011_1_sil=32000:sp=occurrence:random_seed=71598391:i=325:sd=1:ss=axioms:sgt=32_2995 on theBenchmark for (2995ds/325Mi)
% 6.87/1.79 % (1825777)dis+10_5:1_slsqr=1,4:sil=8000:fde=unused:erd=off:urr=full:fd=off:s2agt=8:br=off:slsq=on:random_seed=1229938991:s2a=on:i=248:s2at=1.23:gtg=position_2995 on theBenchmark for (2995ds/248Mi)
% 6.87/1.79 % (1825776)Refutation not found, incomplete strategy
% 6.87/1.79 % (1825776)------------------------------
% 6.87/1.79 % (1825776)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.87/1.79 % (1825776)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.87/1.79 % (1825776)CaDiCaL version: 2.1.3
% 6.87/1.79 % (1825776)Termination reason: Refutation not found, incomplete strategy
% 6.87/1.79 % (1825776)Time elapsed: 0.002 s
% 6.87/1.79 % (1825776)Peak memory usage: 88 MB
% 6.87/1.79 % (1825776)Instructions burned: 1 (million)
% 6.87/1.79 % (1825778)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=2311431737:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2994 on theBenchmark for (2994ds/294Mi)
% 6.87/1.79 % (1825778)Refutation not found, incomplete strategy
% 6.87/1.79 % (1825778)------------------------------
% 6.87/1.79 % (1825778)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.87/1.79 % (1825778)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.87/1.79 % (1825778)CaDiCaL version: 2.1.3
% 6.87/1.79 % (1825778)Termination reason: Refutation not found, incomplete strategy
% 6.87/1.79 % (1825778)Time elapsed: 0.003 s
% 6.87/1.79 % (1825778)Peak memory usage: 88 MB
% 6.87/1.79 % (1825778)Instructions burned: 4 (million)
% 6.87/1.79 % (1825777)Instruction limit reached!
% 6.87/1.79 % (1825777)------------------------------
% 6.87/1.79 % (1825777)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.87/1.79 % (1825777)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.87/1.79 % (1825777)CaDiCaL version: 2.1.3
% 6.87/1.79 % (1825777)Termination reason: Instruction limit
% 6.87/1.79 % (1825777)Termination phase: Saturation
% 6.87/1.79 % (1825777)Time elapsed: 0.126 s
% 6.87/1.79 % (1825777)Peak memory usage: 95 MB
% 6.87/1.79 % (1825777)Instructions burned: 249 (million)
% 6.87/1.79 % (1825779)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=1832191509:i=2350_2994 on theBenchmark for (2994ds/2350Mi)
% 6.87/1.79 % (1825776)------------------------------
% 6.87/1.79 % (1825776)------------------------------
% 6.87/1.79 % (1825759)First to succeed.
% 6.87/1.79 % (1825759)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-1825753"
% 6.87/1.79 % (1825783)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=2007665786:cts=off:i=113:fsr=off:ss=included:sgt=4_2992 on theBenchmark for (2992ds/113Mi)
% 6.87/1.79 % (1825778)------------------------------
% 6.87/1.79 % (1825778)------------------------------
% 6.87/1.79 % (1825783)Instruction limit reached!
% 6.87/1.79 % (1825783)------------------------------
% 6.87/1.79 % (1825783)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.87/1.79 % (1825783)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.87/1.79 % (1825783)CaDiCaL version: 2.1.3
% 6.87/1.79 % (1825783)Termination reason: Instruction limit
% 6.87/1.79 % (1825783)Termination phase: Saturation
% 6.87/1.79 % (1825783)Time elapsed: 0.059 s
% 6.87/1.79 % (1825783)Peak memory usage: 90 MB
% 6.87/1.79 % (1825783)Instructions burned: 114 (million)
% 6.87/1.79 % (1825758)Also succeeded, but the first one will report.
% 6.87/1.79 % (1825785)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=1730407293:i=127:av=off:fsr=off:sup=off_2991 on theBenchmark for (2991ds/127Mi)
% 6.87/1.79 % (1825785)Instruction limit reached!
% 6.87/1.79 % (1825785)------------------------------
% 6.87/1.79 % (1825785)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.87/1.79 % (1825785)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.87/1.79 % (1825785)CaDiCaL version: 2.1.3
% 6.87/1.79 % (1825785)Termination reason: Instruction limit
% 6.87/1.79 % (1825785)Termination phase: Saturation
% 6.87/1.79 % (1825785)Time elapsed: 0.055 s
% 6.87/1.79 % (1825785)Peak memory usage: 89 MB
% 6.87/1.79 % (1825785)Instructions burned: 128 (million)
% 6.87/1.79 % (1825787)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=540008926:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2990 on theBenchmark for (2990ds/114Mi)
% 6.87/1.79 % (1825788)lrs+10_1_sil=8000:sp=occurrence:random_seed=2147028798:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2990 on theBenchmark for (2990ds/907Mi)
% 6.87/1.79 % (1825759)Refutation found. Thanks to Tanya!
% 6.87/1.79 % SZS status Theorem for theBenchmark
% 6.87/1.79 % SZS output start Proof for theBenchmark
% See solution above
% 8.48/1.98 % (1825759)------------------------------
% 8.48/1.98 % (1825759)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.48/1.98 % (1825759)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.48/1.98 % (1825759)CaDiCaL version: 2.1.3
% 8.48/1.98 % (1825759)Termination reason: Refutation
% 8.48/1.98 % (1825759)Time elapsed: 0.679 s
% 8.48/1.98 % (1825759)Peak memory usage: 130 MB
% 8.48/1.98 % (1825759)Instructions burned: 1019 (million)
% 8.48/1.98 % (1825759)------------------------------
% 8.48/1.98 % (1825759)------------------------------
% 8.48/1.98 % (1825753)Success in time 1.121 s
% 8.48/1.98 % Vampire exiting
%------------------------------------------------------------------------------