%------------------------------------------------------------------------------
% File : Vampire-SAT---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 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 01:45:16 PM UTC 2026
% Result : Theorem 53.33s 9.12s
% Output : Refutation 53.33s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 48
% Syntax : Number of formulae : 216 ( 50 unt; 16 def)
% Number of atoms : 512 ( 39 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 575 ( 279 ~; 245 |; 16 &)
% ( 16 <=>; 19 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 4 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 21 ( 19 usr; 17 prp; 0-2 aty)
% Number of functors : 30 ( 30 usr; 8 con; 0-2 aty)
% Number of variables : 249 ( 0 sgn 248 !; 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(f97,axiom,
! [X0] : constr_xor(X0,constr_ZERO) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax96) ).
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(f101,axiom,
! [X0,X1] : constr_tuple_2_get_0x30_bitstring(tuple_2(X0,X1)) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax100) ).
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(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(f125,axiom,
! [X0,X1] :
( pred_attacker(tuple_key_register_server_in_1(X0,X1))
=> pred_attacker(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax124) ).
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(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(f158,axiom,
pred_attacker(constr_ZERO),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax157) ).
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(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(f199,plain,
! [X0] :
( pred_attacker(constr_pkey(X0))
| ~ pred_attacker(X0) ),
inference(ennf_transformation,[],[f112]) ).
fof(f203,plain,
! [X0] :
( pred_attacker(X0)
| ~ pred_attacker(tuple_out_2(X0)) ),
inference(ennf_transformation,[],[f116]) ).
fof(f207,plain,
! [X0] :
( pred_attacker(X0)
| ~ pred_attacker(tuple_key_retrieval_server_out_2(X0)) ),
inference(ennf_transformation,[],[f120]) ).
fof(f208,plain,
! [X0,X1] :
( pred_attacker(tuple_key_retrieval_server_in_1(X0,X1))
| ~ pred_attacker(X0)
| ~ pred_attacker(X1) ),
inference(ennf_transformation,[],[f121]) ).
fof(f209,plain,
! [X0,X1] :
( pred_attacker(tuple_key_retrieval_server_in_1(X0,X1))
| ~ pred_attacker(X0)
| ~ pred_attacker(X1) ),
inference(flattening,[],[f208]) ).
fof(f212,plain,
! [X0,X1] :
( pred_attacker(tuple_key_register_server_in_1(X0,X1))
| ~ pred_attacker(X0)
| ~ pred_attacker(X1) ),
inference(ennf_transformation,[],[f124]) ).
fof(f213,plain,
! [X0,X1] :
( pred_attacker(tuple_key_register_server_in_1(X0,X1))
| ~ pred_attacker(X0)
| ~ pred_attacker(X1) ),
inference(flattening,[],[f212]) ).
fof(f214,plain,
! [X0,X1] :
( pred_attacker(X0)
| ~ pred_attacker(tuple_key_register_server_in_1(X0,X1)) ),
inference(ennf_transformation,[],[f125]) ).
fof(f222,plain,
! [X0] :
( pred_attacker(X0)
| ~ pred_attacker(tuple_client_B_out_6(X0)) ),
inference(ennf_transformation,[],[f132]) ).
fof(f224,plain,
! [X0] :
( pred_attacker(X0)
| ~ pred_attacker(tuple_client_B_out_4(X0)) ),
inference(ennf_transformation,[],[f134]) ).
fof(f229,plain,
! [X0] :
( pred_attacker(tuple_client_B_in_5(X0))
| ~ pred_attacker(X0) ),
inference(ennf_transformation,[],[f138]) ).
fof(f231,plain,
! [X0] :
( pred_attacker(tuple_client_B_in_3(X0))
| ~ pred_attacker(X0) ),
inference(ennf_transformation,[],[f140]) ).
fof(f233,plain,
! [X0] :
( pred_attacker(tuple_client_B_in_2(X0))
| ~ pred_attacker(X0) ),
inference(ennf_transformation,[],[f142]) ).
fof(f249,plain,
! [X0,X1] :
( pred_attacker(constr_aenc(X0,X1))
| ~ pred_attacker(X0)
| ~ pred_attacker(X1) ),
inference(ennf_transformation,[],[f156]) ).
fof(f250,plain,
! [X0,X1] :
( pred_attacker(constr_aenc(X0,X1))
| ~ pred_attacker(X0)
| ~ pred_attacker(X1) ),
inference(flattening,[],[f249]) ).
fof(f251,plain,
! [X0,X1] :
( pred_attacker(constr_adec(X0,X1))
| ~ pred_attacker(X0)
| ~ pred_attacker(X1) ),
inference(ennf_transformation,[],[f157]) ).
fof(f252,plain,
! [X0,X1] :
( pred_attacker(constr_adec(X0,X1))
| ~ pred_attacker(X0)
| ~ pred_attacker(X1) ),
inference(flattening,[],[f251]) ).
fof(f253,plain,
! [X0,X1] :
( pred_attacker(tuple_2(X0,X1))
| ~ pred_attacker(X0)
| ~ pred_attacker(X1) ),
inference(ennf_transformation,[],[f164]) ).
fof(f254,plain,
! [X0,X1] :
( pred_attacker(tuple_2(X0,X1))
| ~ pred_attacker(X0)
| ~ pred_attacker(X1) ),
inference(flattening,[],[f253]) ).
fof(f256,plain,
! [X0,X1] :
( pred_attacker(X1)
| ~ pred_attacker(tuple_2(X0,X1)) ),
inference(ennf_transformation,[],[f166]) ).
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(ennf_transformation,[],[f184]) ).
fof(f266,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,[],[f265]) ).
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(ennf_transformation,[],[f185]) ).
fof(f268,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,[],[f267]) ).
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(ennf_transformation,[],[f186]) ).
fof(f270,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,[],[f269]) ).
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(ennf_transformation,[],[f187]) ).
fof(f272,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,[],[f271]) ).
fof(f273,plain,
? [X0] : ~ pred_attacker(tuple_2(name_Nb(X0),name_objective)),
inference(ennf_transformation,[],[f189]) ).
fof(f274,plain,
~ pred_attacker(tuple_2(name_Nb(sK0),name_objective)),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X0,sK0)],[f273]) ).
fof(f280,plain,
constr_CONST_0x30 != name_A,
inference(cnf_transformation,[],[f6]) ).
fof(f281,plain,
constr_CONST_0x30 != name_B,
inference(cnf_transformation,[],[f7]) ).
fof(f366,plain,
! [X0,X1] : constr_adec(constr_aenc(X1,constr_pkey(X0)),X0) = X1,
inference(cnf_transformation,[],[f92]) ).
fof(f369,plain,
! [X0,X1] : constr_checksign(constr_sign(X1,X0),constr_pkey(X0)) = X1,
inference(cnf_transformation,[],[f95]) ).
fof(f371,plain,
! [X0] : constr_xor(X0,constr_ZERO) = X0,
inference(cnf_transformation,[],[f97]) ).
fof(f372,plain,
! [X0,X1] : constr_xor(X0,X1) = constr_xor(X1,X0),
inference(cnf_transformation,[],[f98]) ).
fof(f374,plain,
! [X0,X1] : constr_tuple_2_get_1_bitstring(tuple_2(X0,X1)) = X1,
inference(cnf_transformation,[],[f100]) ).
fof(f375,plain,
! [X0,X1] : constr_tuple_2_get_0x30_bitstring(tuple_2(X0,X1)) = X0,
inference(cnf_transformation,[],[f101]) ).
fof(f378,plain,
! [X0,X1] : pred_eq_bitstring_bitstring(X0,X1),
inference(cnf_transformation,[],[f104]) ).
fof(f386,plain,
! [X0] :
( pred_attacker(constr_pkey(X0))
| ~ pred_attacker(X0) ),
inference(cnf_transformation,[],[f199]) ).
fof(f390,plain,
! [X0] :
( ~ pred_attacker(tuple_out_2(X0))
| pred_attacker(X0) ),
inference(cnf_transformation,[],[f203]) ).
fof(f394,plain,
! [X0] :
( ~ pred_attacker(tuple_key_retrieval_server_out_2(X0))
| pred_attacker(X0) ),
inference(cnf_transformation,[],[f207]) ).
fof(f395,plain,
! [X0,X1] :
( pred_attacker(tuple_key_retrieval_server_in_1(X0,X1))
| ~ pred_attacker(X0)
| ~ pred_attacker(X1) ),
inference(cnf_transformation,[],[f209]) ).
fof(f398,plain,
! [X0,X1] :
( pred_attacker(tuple_key_register_server_in_1(X0,X1))
| ~ pred_attacker(X0)
| ~ pred_attacker(X1) ),
inference(cnf_transformation,[],[f213]) ).
fof(f399,plain,
! [X0,X1] :
( ~ pred_attacker(tuple_key_register_server_in_1(X0,X1))
| pred_attacker(X0) ),
inference(cnf_transformation,[],[f214]) ).
fof(f406,plain,
! [X0] :
( ~ pred_attacker(tuple_client_B_out_6(X0))
| pred_attacker(X0) ),
inference(cnf_transformation,[],[f222]) ).
fof(f408,plain,
! [X0] :
( ~ pred_attacker(tuple_client_B_out_4(X0))
| pred_attacker(X0) ),
inference(cnf_transformation,[],[f224]) ).
fof(f412,plain,
! [X0] :
( pred_attacker(tuple_client_B_in_5(X0))
| ~ pred_attacker(X0) ),
inference(cnf_transformation,[],[f229]) ).
fof(f414,plain,
! [X0] :
( pred_attacker(tuple_client_B_in_3(X0))
| ~ pred_attacker(X0) ),
inference(cnf_transformation,[],[f231]) ).
fof(f416,plain,
! [X0] :
( pred_attacker(tuple_client_B_in_2(X0))
| ~ pred_attacker(X0) ),
inference(cnf_transformation,[],[f233]) ).
fof(f430,plain,
! [X0,X1] :
( pred_attacker(constr_aenc(X0,X1))
| ~ pred_attacker(X0)
| ~ pred_attacker(X1) ),
inference(cnf_transformation,[],[f250]) ).
fof(f431,plain,
! [X0,X1] :
( pred_attacker(constr_adec(X0,X1))
| ~ pred_attacker(X0)
| ~ pred_attacker(X1) ),
inference(cnf_transformation,[],[f252]) ).
fof(f432,plain,
pred_attacker(constr_ZERO),
inference(cnf_transformation,[],[f158]) ).
fof(f437,plain,
pred_attacker(constr_CONST_0x30),
inference(cnf_transformation,[],[f163]) ).
fof(f438,plain,
! [X0,X1] :
( pred_attacker(tuple_2(X0,X1))
| ~ pred_attacker(X0)
| ~ pred_attacker(X1) ),
inference(cnf_transformation,[],[f254]) ).
fof(f440,plain,
! [X0,X1] :
( ~ pred_attacker(tuple_2(X0,X1))
| pred_attacker(X1) ),
inference(cnf_transformation,[],[f256]) ).
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_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(cnf_transformation,[],[f266]) ).
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,[],[f268]) ).
fof(f459,plain,
! [X2,X0,X1] :
( 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(cnf_transformation,[],[f270]) ).
fof(f460,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(cnf_transformation,[],[f272]) ).
fof(f461,plain,
~ pred_attacker(tuple_2(name_Nb(sK0),name_objective)),
inference(cnf_transformation,[],[f274]) ).
fof(f484,definition,
( spl1_8
<=> ! [X3] : ~ pred_attacker(tuple_client_B_in_2(X3)) ),
introduced(definition,[new_symbols(definition,[spl1_8])],[avatar_definition]) ).
fof(f485,plain,
( ! [X3] : ~ pred_attacker(tuple_client_B_in_2(X3))
| ~ spl1_8 ),
inference(avatar_component_clause,[],[f484]) ).
fof(f490,definition,
( spl1_10
<=> ! [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_10])],[avatar_definition]) ).
fof(f491,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_10 ),
inference(avatar_component_clause,[],[f490]) ).
fof(f493,definition,
( spl1_11
<=> ! [X1] : ~ pred_attacker(tuple_client_B_in_3(X1)) ),
introduced(definition,[new_symbols(definition,[spl1_11])],[avatar_definition]) ).
fof(f494,plain,
( ! [X1] : ~ pred_attacker(tuple_client_B_in_3(X1))
| ~ spl1_11 ),
inference(avatar_component_clause,[],[f493]) ).
fof(f499,definition,
( spl1_13
<=> ! [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_13])],[avatar_definition]) ).
fof(f500,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_13 ),
inference(avatar_component_clause,[],[f499]) ).
fof(f502,definition,
( spl1_14
<=> ! [X2] : ~ pred_attacker(tuple_client_B_in_5(X2)) ),
introduced(definition,[new_symbols(definition,[spl1_14])],[avatar_definition]) ).
fof(f503,plain,
( ! [X2] : ~ pred_attacker(tuple_client_B_in_5(X2))
| ~ spl1_14 ),
inference(avatar_component_clause,[],[f502]) ).
fof(f508,definition,
( spl1_16
<=> ! [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_16])],[avatar_definition]) ).
fof(f509,plain,
( ! [X2,X0] :
( ~ pred_eq_bitstring_bitstring(name_Nb(X0),constr_adec(X2,name_skB))
| ~ pred_attacker(tuple_client_B_in_5(X2)) )
| ~ spl1_16 ),
inference(avatar_component_clause,[],[f508]) ).
fof(f511,definition,
( spl1_17
<=> pred_attacker(tuple_client_B_out_6(name_objective)) ),
introduced(definition,[new_symbols(definition,[spl1_17])],[avatar_definition]) ).
fof(f513,plain,
( pred_attacker(tuple_client_B_out_6(name_objective))
| ~ spl1_17 ),
inference(avatar_component_clause,[],[f511]) ).
fof(f514,plain,
( spl1_10
| spl1_13
| spl1_16
| spl1_17 ),
inference(avatar_split_clause,[],[f458,f511,f508,f499,f490]) ).
fof(f540,definition,
( spl1_26
<=> ! [X1] : ~ pred_attacker(X1) ),
introduced(definition,[new_symbols(definition,[spl1_26])],[avatar_definition]) ).
fof(f541,plain,
( ! [X1] : ~ pred_attacker(X1)
| ~ spl1_26 ),
inference(avatar_component_clause,[],[f540]) ).
fof(f674,plain,
( $false
| ~ spl1_26 ),
inference(resolution,[],[f541,f437]) ).
fof(f697,plain,
~ spl1_26,
inference(avatar_contradiction_clause,[],[f674]) ).
fof(f1039,plain,
pred_attacker(constr_pkey(name_skB)),
inference(resolution,[],[f390,f451]) ).
fof(f1060,plain,
( ! [X0] : ~ pred_attacker(X0)
| ~ spl1_14 ),
inference(forward_subsumption_resolution,[],[f412,f503]) ).
fof(f1061,plain,
( spl1_26
| ~ spl1_14 ),
inference(avatar_split_clause,[],[f1060,f502,f540]) ).
fof(f1065,plain,
( ! [X0] : ~ pred_attacker(X0)
| ~ spl1_11 ),
inference(forward_subsumption_resolution,[],[f414,f494]) ).
fof(f1066,plain,
( spl1_26
| ~ spl1_11 ),
inference(avatar_split_clause,[],[f1065,f493,f540]) ).
fof(f1070,plain,
( ! [X0] : ~ pred_attacker(X0)
| ~ spl1_8 ),
inference(forward_subsumption_resolution,[],[f416,f485]) ).
fof(f1071,plain,
( spl1_26
| ~ spl1_8 ),
inference(avatar_split_clause,[],[f1070,f484,f540]) ).
fof(f1194,plain,
! [X0,X1] :
( ~ pred_attacker(constr_aenc(X0,constr_pkey(X1)))
| pred_attacker(X0)
| ~ pred_attacker(X1) ),
inference(superposition,[],[f431,f366]) ).
fof(f1205,plain,
( ~ pred_attacker(name_Nb(sK0))
| ~ pred_attacker(name_objective) ),
inference(resolution,[],[f438,f461]) ).
fof(f1209,definition,
( spl1_74
<=> pred_attacker(name_objective) ),
introduced(definition,[new_symbols(definition,[spl1_74])],[avatar_definition]) ).
fof(f1213,definition,
( spl1_75
<=> pred_attacker(name_Nb(sK0)) ),
introduced(definition,[new_symbols(definition,[spl1_75])],[avatar_definition]) ).
fof(f1215,plain,
( ~ pred_attacker(name_Nb(sK0))
| spl1_75 ),
inference(avatar_component_clause,[],[f1213]) ).
fof(f1216,plain,
( ~ spl1_74
| ~ spl1_75 ),
inference(avatar_split_clause,[],[f1205,f1213,f1209]) ).
fof(f1219,plain,
( ! [X3] : ~ pred_attacker(tuple_client_B_in_2(X3))
| ~ spl1_10 ),
inference(forward_subsumption_resolution,[],[f491,f378]) ).
fof(f1220,plain,
( spl1_8
| ~ spl1_10 ),
inference(avatar_split_clause,[],[f1219,f490,f484]) ).
fof(f1221,plain,
( ! [X1] : ~ pred_attacker(tuple_client_B_in_3(X1))
| ~ spl1_13 ),
inference(forward_subsumption_resolution,[],[f500,f378]) ).
fof(f1222,plain,
( spl1_11
| ~ spl1_13 ),
inference(avatar_split_clause,[],[f1221,f499,f493]) ).
fof(f1223,plain,
( ! [X2] : ~ pred_attacker(tuple_client_B_in_5(X2))
| ~ spl1_16 ),
inference(forward_subsumption_resolution,[],[f509,f378]) ).
fof(f1224,plain,
( spl1_14
| ~ spl1_16 ),
inference(avatar_split_clause,[],[f1223,f508,f502]) ).
fof(f1225,plain,
( pred_attacker(name_objective)
| ~ spl1_17 ),
inference(resolution,[],[f513,f406]) ).
fof(f1226,plain,
( spl1_74
| ~ spl1_17 ),
inference(avatar_split_clause,[],[f1225,f511,f1209]) ).
fof(f1328,plain,
! [X2,X0,X1] :
( 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_attacker(tuple_client_B_in_2(X2)) ),
inference(forward_subsumption_resolution,[],[f457,f378]) ).
fof(f1329,plain,
! [X2,X0,X1] :
( 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_attacker(tuple_client_B_in_3(X1))
| ~ pred_attacker(tuple_client_B_in_2(X2)) ),
inference(forward_subsumption_resolution,[],[f1328,f378]) ).
fof(f1330,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(X1,name_skB))),name_Nb(X0)),constr_tuple_2_get_1_bitstring(constr_checksign(X2,constr_pkey(name_skS))))))
| ~ pred_attacker(tuple_client_B_in_3(X1))
| ~ pred_attacker(tuple_client_B_in_2(X2)) ),
inference(forward_demodulation,[],[f1329,f372]) ).
fof(f1647,plain,
! [X2,X0,X1] :
( pred_attacker(constr_sign(tuple_2(X0,X1),name_skS))
| ~ pred_attacker(tuple_key_retrieval_server_in_1(X2,X0))
| ~ pred_table(tuple_keys(X0,X1)) ),
inference(resolution,[],[f459,f394]) ).
fof(f11489,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(X0)),name_Nb(X1)),constr_tuple_2_get_1_bitstring(constr_checksign(X2,constr_pkey(name_skS))))))
| ~ pred_attacker(tuple_client_B_in_3(constr_aenc(X0,constr_pkey(name_skB))))
| ~ pred_attacker(tuple_client_B_in_2(X2)) ),
inference(superposition,[],[f1330,f366]) ).
fof(f12643,plain,
! [X2,X3,X0,X1] :
( pred_attacker(tuple_client_B_out_4(constr_aenc(tuple_2(constr_xor(name_B,X0),name_Nb(X2)),constr_tuple_2_get_1_bitstring(constr_checksign(X3,constr_pkey(name_skS))))))
| ~ pred_attacker(tuple_client_B_in_3(constr_aenc(tuple_2(X0,X1),constr_pkey(name_skB))))
| ~ pred_attacker(tuple_client_B_in_2(X3)) ),
inference(superposition,[],[f11489,f375]) ).
fof(f12882,plain,
! [X2,X0,X1] :
( pred_attacker(tuple_client_B_out_4(constr_aenc(tuple_2(name_B,name_Nb(X0)),constr_tuple_2_get_1_bitstring(constr_checksign(X1,constr_pkey(name_skS))))))
| ~ pred_attacker(tuple_client_B_in_3(constr_aenc(tuple_2(constr_ZERO,X2),constr_pkey(name_skB))))
| ~ pred_attacker(tuple_client_B_in_2(X1)) ),
inference(superposition,[],[f12643,f371]) ).
fof(f12959,definition,
( spl1_153
<=> ! [X2] : ~ pred_attacker(tuple_client_B_in_3(constr_aenc(tuple_2(constr_ZERO,X2),constr_pkey(name_skB)))) ),
introduced(definition,[new_symbols(definition,[spl1_153])],[avatar_definition]) ).
fof(f12960,plain,
( ! [X2] : ~ pred_attacker(tuple_client_B_in_3(constr_aenc(tuple_2(constr_ZERO,X2),constr_pkey(name_skB))))
| ~ spl1_153 ),
inference(avatar_component_clause,[],[f12959]) ).
fof(f12965,definition,
( spl1_155
<=> ! [X0,X1] :
( pred_attacker(tuple_client_B_out_4(constr_aenc(tuple_2(name_B,name_Nb(X0)),constr_tuple_2_get_1_bitstring(constr_checksign(X1,constr_pkey(name_skS))))))
| ~ pred_attacker(tuple_client_B_in_2(X1)) ) ),
introduced(definition,[new_symbols(definition,[spl1_155])],[avatar_definition]) ).
fof(f12966,plain,
( ! [X0,X1] :
( pred_attacker(tuple_client_B_out_4(constr_aenc(tuple_2(name_B,name_Nb(X0)),constr_tuple_2_get_1_bitstring(constr_checksign(X1,constr_pkey(name_skS))))))
| ~ pred_attacker(tuple_client_B_in_2(X1)) )
| ~ spl1_155 ),
inference(avatar_component_clause,[],[f12965]) ).
fof(f12967,plain,
( spl1_153
| spl1_155 ),
inference(avatar_split_clause,[],[f12882,f12965,f12959]) ).
fof(f13325,plain,
( ! [X0] : ~ pred_attacker(constr_aenc(tuple_2(constr_ZERO,X0),constr_pkey(name_skB)))
| ~ spl1_153 ),
inference(resolution,[],[f12960,f414]) ).
fof(f15172,plain,
( ! [X0] :
( ~ pred_attacker(tuple_2(constr_ZERO,X0))
| ~ pred_attacker(constr_pkey(name_skB)) )
| ~ spl1_153 ),
inference(resolution,[],[f13325,f430]) ).
fof(f15173,plain,
( ! [X0] : ~ pred_attacker(tuple_2(constr_ZERO,X0))
| ~ spl1_153 ),
inference(forward_subsumption_resolution,[],[f15172,f1039]) ).
fof(f15176,plain,
( ! [X0] :
( ~ pred_attacker(constr_ZERO)
| ~ pred_attacker(X0) )
| ~ spl1_153 ),
inference(resolution,[],[f15173,f438]) ).
fof(f15178,plain,
( ! [X0] : ~ pred_attacker(X0)
| ~ spl1_153 ),
inference(forward_subsumption_resolution,[],[f15176,f432]) ).
fof(f15186,plain,
( spl1_26
| ~ spl1_153 ),
inference(avatar_split_clause,[],[f15178,f12959,f540]) ).
fof(f17873,definition,
( spl1_185
<=> ! [X0] : pred_attacker(tuple_2(name_B,name_Nb(X0))) ),
introduced(definition,[new_symbols(definition,[spl1_185])],[avatar_definition]) ).
fof(f17874,plain,
( ! [X0] : pred_attacker(tuple_2(name_B,name_Nb(X0)))
| ~ spl1_185 ),
inference(avatar_component_clause,[],[f17873]) ).
fof(f23022,plain,
( ! [X0] : pred_attacker(name_Nb(X0))
| ~ spl1_185 ),
inference(resolution,[],[f17874,f440]) ).
fof(f23076,plain,
( $false
| spl1_75
| ~ spl1_185 ),
inference(resolution,[],[f23022,f1215]) ).
fof(f23077,plain,
( spl1_75
| ~ spl1_185 ),
inference(avatar_contradiction_clause,[],[f23076]) ).
fof(f49308,plain,
( ! [X0,X1] :
( pred_attacker(constr_aenc(tuple_2(name_B,name_Nb(X1)),constr_tuple_2_get_1_bitstring(constr_checksign(X0,constr_pkey(name_skS)))))
| ~ pred_attacker(tuple_client_B_in_2(X0)) )
| ~ spl1_155 ),
inference(resolution,[],[f12966,f408]) ).
fof(f52474,plain,
( ! [X0,X1] :
( pred_attacker(constr_aenc(tuple_2(name_B,name_Nb(X1)),constr_tuple_2_get_1_bitstring(X0)))
| ~ pred_attacker(tuple_client_B_in_2(constr_sign(X0,name_skS))) )
| ~ spl1_155 ),
inference(superposition,[],[f49308,f369]) ).
fof(f52787,plain,
( ! [X2,X0,X1] :
( pred_attacker(constr_aenc(tuple_2(name_B,name_Nb(X1)),X0))
| ~ pred_attacker(tuple_client_B_in_2(constr_sign(tuple_2(X2,X0),name_skS))) )
| ~ spl1_155 ),
inference(superposition,[],[f52474,f374]) ).
fof(f56682,plain,
( ! [X2,X0,X1] :
( ~ pred_attacker(tuple_client_B_in_2(constr_sign(tuple_2(X0,constr_pkey(X1)),name_skS)))
| pred_attacker(tuple_2(name_B,name_Nb(X2)))
| ~ pred_attacker(X1) )
| ~ spl1_155 ),
inference(resolution,[],[f52787,f1194]) ).
fof(f56687,definition,
( spl1_238
<=> ! [X0,X1] :
( ~ pred_attacker(tuple_client_B_in_2(constr_sign(tuple_2(X0,constr_pkey(X1)),name_skS)))
| ~ pred_attacker(X1) ) ),
introduced(definition,[new_symbols(definition,[spl1_238])],[avatar_definition]) ).
fof(f56688,plain,
( ! [X0,X1] :
( ~ pred_attacker(tuple_client_B_in_2(constr_sign(tuple_2(X0,constr_pkey(X1)),name_skS)))
| ~ pred_attacker(X1) )
| ~ spl1_238 ),
inference(avatar_component_clause,[],[f56687]) ).
fof(f56689,plain,
( spl1_185
| spl1_238
| ~ spl1_155 ),
inference(avatar_split_clause,[],[f56682,f12965,f56687,f17873]) ).
fof(f56694,plain,
( ! [X0,X1] :
( ~ pred_attacker(constr_sign(tuple_2(X1,constr_pkey(X0)),name_skS))
| ~ pred_attacker(X0) )
| ~ spl1_238 ),
inference(resolution,[],[f56688,f416]) ).
fof(f56701,plain,
( ! [X2,X0,X1] :
( ~ pred_table(tuple_keys(X2,constr_pkey(X0)))
| ~ pred_attacker(tuple_key_retrieval_server_in_1(X1,X2))
| ~ pred_attacker(X0) )
| ~ spl1_238 ),
inference(resolution,[],[f56694,f1647]) ).
fof(f57259,plain,
( ! [X2,X0,X1] :
( ~ pred_table(tuple_keys(X1,constr_pkey(X2)))
| ~ pred_attacker(X2)
| ~ pred_attacker(X0)
| ~ pred_attacker(X1) )
| ~ spl1_238 ),
inference(resolution,[],[f56701,f395]) ).
fof(f57261,definition,
( spl1_242
<=> ! [X2,X1] :
( ~ pred_table(tuple_keys(X1,constr_pkey(X2)))
| ~ pred_attacker(X1)
| ~ pred_attacker(X2) ) ),
introduced(definition,[new_symbols(definition,[spl1_242])],[avatar_definition]) ).
fof(f57262,plain,
( ! [X2,X1] :
( ~ pred_table(tuple_keys(X1,constr_pkey(X2)))
| ~ pred_attacker(X1)
| ~ pred_attacker(X2) )
| ~ spl1_242 ),
inference(avatar_component_clause,[],[f57261]) ).
fof(f57263,plain,
( spl1_26
| spl1_242
| ~ spl1_238 ),
inference(avatar_split_clause,[],[f57259,f56687,f57261,f540]) ).
fof(f58979,plain,
( ! [X0,X1] :
( ~ pred_attacker(X0)
| ~ pred_attacker(X1)
| name_B = X0
| name_A = X0
| ~ pred_attacker(tuple_key_register_server_in_1(X0,constr_pkey(X1))) )
| ~ spl1_242 ),
inference(resolution,[],[f57262,f460]) ).
fof(f58980,plain,
( ! [X0,X1] :
( ~ pred_attacker(tuple_key_register_server_in_1(X0,constr_pkey(X1)))
| name_B = X0
| name_A = X0
| ~ pred_attacker(X1) )
| ~ spl1_242 ),
inference(forward_subsumption_resolution,[],[f58979,f399]) ).
fof(f60838,plain,
( ! [X0,X1] :
( name_B = X0
| name_A = X0
| ~ pred_attacker(X1)
| ~ pred_attacker(X0)
| ~ pred_attacker(constr_pkey(X1)) )
| ~ spl1_242 ),
inference(resolution,[],[f58980,f398]) ).
fof(f60839,plain,
( ! [X0,X1] :
( name_B = X0
| name_A = X0
| ~ pred_attacker(X1)
| ~ pred_attacker(X0) )
| ~ spl1_242 ),
inference(forward_subsumption_resolution,[],[f60838,f386]) ).
fof(f60841,definition,
( spl1_254
<=> ! [X0] :
( name_B = X0
| ~ pred_attacker(X0)
| name_A = X0 ) ),
introduced(definition,[new_symbols(definition,[spl1_254])],[avatar_definition]) ).
fof(f60842,plain,
( ! [X0] :
( ~ pred_attacker(X0)
| name_B = X0
| name_A = X0 )
| ~ spl1_254 ),
inference(avatar_component_clause,[],[f60841]) ).
fof(f60843,plain,
( spl1_26
| spl1_254
| ~ spl1_242 ),
inference(avatar_split_clause,[],[f60839,f57261,f60841,f540]) ).
fof(f60844,plain,
( constr_CONST_0x30 = name_B
| constr_CONST_0x30 = name_A
| ~ spl1_254 ),
inference(resolution,[],[f60842,f437]) ).
fof(f61542,plain,
( constr_CONST_0x30 = name_A
| ~ spl1_254 ),
inference(forward_subsumption_resolution,[],[f60844,f281]) ).
fof(f61559,plain,
( $false
| ~ spl1_254 ),
inference(forward_subsumption_resolution,[],[f61542,f280]) ).
fof(f61560,plain,
~ spl1_254,
inference(avatar_contradiction_clause,[],[f61559]) ).
cnf(s1,plain,
( spl1_10
| spl1_13
| spl1_16
| spl1_17 ),
inference(sat_conversion,[],[f514]) ).
cnf(s13,plain,
~ spl1_26,
inference(sat_conversion,[],[f697]) ).
cnf(s81,plain,
( ~ spl1_14
| spl1_26 ),
inference(sat_conversion,[],[f1061]) ).
cnf(s83,plain,
( ~ spl1_11
| spl1_26 ),
inference(sat_conversion,[],[f1066]) ).
cnf(s85,plain,
( ~ spl1_8
| spl1_26 ),
inference(sat_conversion,[],[f1071]) ).
cnf(s132,plain,
( ~ spl1_74
| ~ spl1_75 ),
inference(sat_conversion,[],[f1216]) ).
cnf(s134,plain,
( spl1_8
| ~ spl1_10 ),
inference(sat_conversion,[],[f1220]) ).
cnf(s135,plain,
( spl1_11
| ~ spl1_13 ),
inference(sat_conversion,[],[f1222]) ).
cnf(s136,plain,
( spl1_14
| ~ spl1_16 ),
inference(sat_conversion,[],[f1224]) ).
cnf(s137,plain,
( ~ spl1_17
| spl1_74 ),
inference(sat_conversion,[],[f1226]) ).
cnf(s326,plain,
( spl1_153
| spl1_155 ),
inference(sat_conversion,[],[f12967]) ).
cnf(s533,plain,
( spl1_26
| ~ spl1_153 ),
inference(sat_conversion,[],[f15186]) ).
cnf(s984,plain,
( spl1_75
| ~ spl1_185 ),
inference(sat_conversion,[],[f23077]) ).
cnf(s1725,plain,
( ~ spl1_155
| spl1_185
| spl1_238 ),
inference(sat_conversion,[],[f56689]) ).
cnf(s1741,plain,
( spl1_26
| ~ spl1_238
| spl1_242 ),
inference(sat_conversion,[],[f57263]) ).
cnf(s2137,plain,
( spl1_26
| ~ spl1_242
| spl1_254 ),
inference(sat_conversion,[],[f60843]) ).
cnf(s2159,plain,
~ spl1_254,
inference(sat_conversion,[],[f61560]) ).
cnf(s2160,plain,
( spl1_26
| ~ spl1_242 ),
inference(rat,[],[s2137,s2159]) ).
cnf(s2221,plain,
~ spl1_242,
inference(rat,[],[s2160,s13]) ).
cnf(s2223,plain,
~ spl1_238,
inference(rat,[],[s1741,s2221,s13]) ).
cnf(s2234,plain,
~ spl1_153,
inference(rat,[],[s533,s13]) ).
cnf(s2263,plain,
~ spl1_8,
inference(rat,[],[s85,s13]) ).
cnf(s2264,plain,
~ spl1_11,
inference(rat,[],[s83,s13]) ).
cnf(s2265,plain,
~ spl1_14,
inference(rat,[],[s81,s13]) ).
cnf(s2285,plain,
spl1_155,
inference(rat,[],[s326,s2234]) ).
cnf(s2303,plain,
~ spl1_10,
inference(rat,[],[s134,s2263]) ).
cnf(s2304,plain,
~ spl1_13,
inference(rat,[],[s135,s2264]) ).
cnf(s2305,plain,
~ spl1_16,
inference(rat,[],[s136,s2265]) ).
cnf(s2311,plain,
spl1_185,
inference(rat,[],[s1725,s2223,s2285]) ).
cnf(s2313,plain,
spl1_75,
inference(rat,[],[s984,s2311]) ).
cnf(s2314,plain,
~ spl1_74,
inference(rat,[],[s132,s2313]) ).
cnf(s2315,plain,
~ spl1_17,
inference(rat,[],[s137,s2314]) ).
cnf(s2316,plain,
$false,
inference(rat,[],[s1,s2315,s2305,s2304,s2303]) ).
fof(f61561,plain,
$false,
inference(avatar_sat_refutation,[],[s2316]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWW966+1 : TPTP v9.3.1. Released v7.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.08/0.18 % Computer : n011.cluster.edu
% 0.08/0.18 % Model : x86_64 x86_64
% 0.08/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.18 % Memory : 8046.5625MB
% 0.08/0.18 % OS : Linux 6.8.0-71-generic
% 0.08/0.18 % CPULimit : 300
% 0.08/0.18 % WCLimit : 300
% 0.08/0.18 % DateTime : Mon Sep 28 14:49:16 UTC 2026
% 0.08/0.18 % CPUTime :
% 0.08/0.18 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.08/0.22 Running first-order model finding
% 0.08/0.22 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
% 15.39/2.44 % (3441964)Will run a generic schedule for satisfiability detection.
% 15.39/2.44 % (3441972)dis+10_1_sil=32000:sp=arity:random_seed=872379050:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 15.39/2.44 % (3441970)% WARNING: option uhcvi not known.
% 15.39/2.44 % (3441969)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=849035655_2999 on theBenchmark for (2999ds/0Mi)
% 15.39/2.44 % (3441970)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2950829842:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 15.39/2.44 % (3441971)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3322560170:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 15.39/2.44 % (3441973)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1329962010:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 15.39/2.44 % (3441974)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2776856917:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 15.39/2.44 % (3441975)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3074052690:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 15.39/2.44 % Detected minimum model sizes of [14]
% 15.39/2.44 % Detected maximum model sizes of [max]
% 15.39/2.44 % TRYING [14]
% 15.39/2.44 % (3441972)Instruction limit reached!
% 15.39/2.44 % (3441972)------------------------------
% 15.39/2.44 % (3441972)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.39/2.44 % (3441972)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.39/2.44 % (3441972)CaDiCaL version: 2.1.3
% 15.39/2.44 % (3441972)Termination reason: Instruction limit
% 15.39/2.44 % (3441972)Termination phase: Saturation
% 15.39/2.44 % (3441972)Time elapsed: 0.031 s
% 15.39/2.44 % (3441972)Peak memory usage: 13 MB
% 15.39/2.44 % (3441972)Instructions burned: 104 (million)
% 15.39/2.44 % (3441983)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=485118170:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 15.39/2.44 % Detected minimum model sizes of [14]
% 15.39/2.44 % Detected maximum model sizes of [max]
% 15.39/2.44 % TRYING [14]
% 15.39/2.44 % (3441973)Instruction limit reached!
% 15.39/2.44 % (3441973)------------------------------
% 15.39/2.44 % (3441973)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.39/2.44 % (3441973)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.39/2.44 % (3441973)CaDiCaL version: 2.1.3
% 15.39/2.44 % (3441973)Termination reason: Instruction limit
% 15.39/2.44 % (3441973)Termination phase: Saturation
% 15.39/2.44 % (3441973)Time elapsed: 0.063 s
% 15.39/2.44 % (3441973)Peak memory usage: 12 MB
% 15.39/2.44 % (3441973)Instructions burned: 117 (million)
% 15.39/2.44 % (3441974)Instruction limit reached!
% 15.39/2.44 % (3441974)------------------------------
% 15.39/2.44 % (3441974)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.39/2.44 % (3441974)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.39/2.44 % (3441974)CaDiCaL version: 2.1.3
% 15.39/2.44 % (3441974)Termination reason: Instruction limit
% 15.39/2.44 % (3441974)Termination phase: Saturation
% 15.39/2.44 % (3441974)Time elapsed: 0.069 s
% 15.39/2.44 % (3441974)Peak memory usage: 14 MB
% 15.39/2.44 % (3441974)Instructions burned: 137 (million)
% 15.39/2.44 % (3441975)Instruction limit reached!
% 15.39/2.44 % (3441975)------------------------------
% 15.39/2.44 % (3441975)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.39/2.44 % (3441975)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.39/2.44 % (3441975)CaDiCaL version: 2.1.3
% 15.39/2.44 % (3441975)Termination reason: Instruction limit
% 15.39/2.44 % (3441975)Termination phase: Saturation
% 15.39/2.44 % (3441975)Time elapsed: 0.079 s
% 15.39/2.44 % (3441975)Peak memory usage: 13 MB
% 15.39/2.44 % (3441975)Instructions burned: 159 (million)
% 15.39/2.44 % (3441985)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=2166297612:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 15.39/2.44 % (3441986)dis+11_32_anc=none:slsqr=2,1:sil=64000:sas=cadical:lma=off:lsd=50:s2agt=8:slsqc=1:kmz=on:newcnf=on:slsq=on:random_seed=2700813058:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 15.39/2.44 % (3441987)ott-21_1_sil=16000:fs=off:random_seed=2910789365:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 15.39/2.44 % (3441985)Instruction limit reached!
% 15.39/2.44 % (3441985)------------------------------
% 15.39/2.44 % (3441985)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 36.98/5.52 % (3441985)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 36.98/5.52 % (3441985)CaDiCaL version: 2.1.3
% 36.98/5.52 % (3441985)Termination reason: Instruction limit
% 36.98/5.52 % (3441985)Termination phase: Saturation
% 36.98/5.52 % (3441985)Time elapsed: 0.074 s
% 36.98/5.52 % (3441985)Peak memory usage: 15 MB
% 36.98/5.52 % (3441985)Instructions burned: 132 (million)
% 36.98/5.52 % (3441983)Instruction limit reached!
% 36.98/5.52 % (3441983)------------------------------
% 36.98/5.52 % (3441983)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 36.98/5.52 % (3441983)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 36.98/5.52 % (3441983)CaDiCaL version: 2.1.3
% 36.98/5.52 % (3441983)Termination reason: Instruction limit
% 36.98/5.52 % (3441983)Termination phase: Finite model building constraint generation
% 36.98/5.52 % (3441983)Time elapsed: 0.135 s
% 36.98/5.52 % (3441983)Peak memory usage: 56 MB
% 36.98/5.52 % (3441983)Instructions burned: 719 (million)
% 36.98/5.52 % (3441987)Instruction limit reached!
% 36.98/5.52 % (3441987)------------------------------
% 36.98/5.52 % (3441987)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 36.98/5.52 % (3441987)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 36.98/5.52 % (3441987)CaDiCaL version: 2.1.3
% 36.98/5.52 % (3441987)Termination reason: Instruction limit
% 36.98/5.52 % (3441987)Termination phase: Saturation
% 36.98/5.52 % (3441987)Time elapsed: 0.075 s
% 36.98/5.52 % (3441987)Peak memory usage: 12 MB
% 36.98/5.52 % (3441987)Instructions burned: 184 (million)
% 36.98/5.52 % (3441991)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=3921193699:i=477:bd=all_2998 on theBenchmark for (2998ds/477Mi)
% 36.98/5.52 % (3441992)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=67963202:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 36.98/5.52 % Detected minimum model sizes of [14]
% 36.98/5.52 % Detected maximum model sizes of [max]
% 36.98/5.52 % (3441993)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=3585325836:i=1179_2997 on theBenchmark for (2997ds/1179Mi)
% 36.98/5.52 % TRYING [14]
% 36.98/5.52 % (3441992)Instruction limit reached!
% 36.98/5.52 % (3441992)------------------------------
% 36.98/5.52 % (3441992)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 36.98/5.52 % (3441992)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 36.98/5.52 % (3441992)CaDiCaL version: 2.1.3
% 36.98/5.52 % (3441992)Termination reason: Instruction limit
% 36.98/5.52 % (3441992)Termination phase: Finite model building constraint generation
% 36.98/5.52 % (3441992)Time elapsed: 0.174 s
% 36.98/5.52 % (3441992)Peak memory usage: 75 MB
% 36.98/5.52 % (3441992)Instructions burned: 870 (million)
% 36.98/5.52 % (3441997)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=1313183844:i=889:ins=1_2995 on theBenchmark for (2995ds/889Mi)
% 36.98/5.52 % TRYING [14]
% 36.98/5.52 % (3441991)Instruction limit reached!
% 36.98/5.52 % (3441991)------------------------------
% 36.98/5.52 % (3441991)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 36.98/5.52 % (3441991)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 36.98/5.52 % (3441991)CaDiCaL version: 2.1.3
% 36.98/5.52 % (3441991)Termination reason: Instruction limit
% 36.98/5.52 % (3441991)Termination phase: Saturation
% 36.98/5.52 % (3441991)Time elapsed: 0.267 s
% 36.98/5.52 % (3441991)Peak memory usage: 14 MB
% 36.98/5.52 % (3441991)Instructions burned: 478 (million)
% 36.98/5.52 % (3441986)Instruction limit reached!
% 36.98/5.52 % (3441986)------------------------------
% 36.98/5.52 % (3441986)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 36.98/5.52 % (3441986)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 36.98/5.52 % (3441986)CaDiCaL version: 2.1.3
% 36.98/5.52 % (3441986)Termination reason: Instruction limit
% 36.98/5.52 % (3441986)Termination phase: Saturation
% 36.98/5.52 % (3441986)Time elapsed: 0.358 s
% 36.98/5.52 % (3441986)Peak memory usage: 15 MB
% 36.98/5.52 % (3441986)Instructions burned: 684 (million)
% 36.98/5.52 % (3441999)ott+1_16_sil=32000:plsq=on:plsqc=2:sas=cadical:avsql=on:sp=reverse_frequency:plsqr=128,1:bsr=unit_only:rp=on:newcnf=on:random_seed=3834833891:avsq=on:s2a=on:i=692:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rawr=on_2995 on theBenchmark for (2995ds/692Mi)
% 36.98/5.52 % (3442000)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=374096463:i=879:kws=inv_precedence:fsr=off_2995 on theBenchmark for (2995ds/879Mi)
% 60.71/9.03 % (3441997)Instruction limit reached!
% 60.71/9.03 % (3441997)------------------------------
% 60.71/9.03 % (3441997)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 60.71/9.03 % (3441997)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 60.71/9.03 % (3441997)CaDiCaL version: 2.1.3
% 60.71/9.03 % (3441997)Termination reason: Instruction limit
% 60.71/9.03 % (3441997)Termination phase: Finite model building constraint generation
% 60.71/9.03 % (3441997)Time elapsed: 0.178 s
% 60.71/9.03 % (3441997)Peak memory usage: 76 MB
% 60.71/9.03 % (3441997)Instructions burned: 895 (million)
% 60.71/9.03 % (3442003)fmb+10_1_sil=64000:random_seed=879290306:i=22061:nm=2:gsp=on_2994 on theBenchmark for (2994ds/22061Mi)
% 60.71/9.03 % Detected minimum model sizes of [14]
% 60.71/9.03 % Detected maximum model sizes of [max]
% 60.71/9.03 % TRYING [14]
% 60.71/9.03 % (3441993)Instruction limit reached!
% 60.71/9.03 % (3441993)------------------------------
% 60.71/9.03 % (3441993)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 60.71/9.03 % (3441993)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 60.71/9.03 % (3441993)CaDiCaL version: 2.1.3
% 60.71/9.03 % (3441993)Termination reason: Instruction limit
% 60.71/9.03 % (3441993)Termination phase: Saturation
% 60.71/9.03 % (3441993)Time elapsed: 0.613 s
% 60.71/9.03 % (3441993)Peak memory usage: 33 MB
% 60.71/9.03 % (3441993)Instructions burned: 1180 (million)
% 60.71/9.03 % (3442005)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=2019292905:i=9515:nm=5_2991 on theBenchmark for (2991ds/9515Mi)
% 60.71/9.03 % Detected minimum model sizes of [14]
% 60.71/9.03 % Detected maximum model sizes of [max]
% 60.71/9.03 % TRYING [20]
% 60.71/9.03 % (3441999)Instruction limit reached!
% 60.71/9.03 % (3441999)------------------------------
% 60.71/9.03 % (3441999)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 60.71/9.03 % (3441999)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 60.71/9.03 % (3441999)CaDiCaL version: 2.1.3
% 60.71/9.03 % (3441999)Termination reason: Instruction limit
% 60.71/9.03 % (3441999)Termination phase: Saturation
% 60.71/9.03 % (3441999)Time elapsed: 0.374 s
% 60.71/9.03 % (3441999)Peak memory usage: 19 MB
% 60.71/9.03 % (3441999)Instructions burned: 693 (million)
% 60.71/9.03 % (3442007)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=3414765255:fmbsr=1.7:i=920_2991 on theBenchmark for (2991ds/920Mi)
% 60.71/9.03 % Detected minimum model sizes of [14]
% 60.71/9.03 % Detected maximum model sizes of [max]
% 60.71/9.03 % TRYING [14]
% 60.71/9.03 % (3442000)Instruction limit reached!
% 60.71/9.03 % (3442000)------------------------------
% 60.71/9.03 % (3442000)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 60.71/9.03 % (3442000)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 60.71/9.03 % (3442000)CaDiCaL version: 2.1.3
% 60.71/9.03 % (3442000)Termination reason: Instruction limit
% 60.71/9.03 % (3442000)Termination phase: Saturation
% 60.71/9.03 % (3442000)Time elapsed: 0.429 s
% 60.71/9.03 % (3442000)Peak memory usage: 16 MB
% 60.71/9.03 % (3442000)Instructions burned: 880 (million)
% 60.71/9.03 % (3442009)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=3404036265:i=5131_2990 on theBenchmark for (2990ds/5131Mi)
% 60.71/9.03 % (3442007)Instruction limit reached!
% 60.71/9.03 % (3442007)------------------------------
% 60.71/9.03 % (3442007)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 60.71/9.03 % (3442007)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 60.71/9.03 % (3442007)CaDiCaL version: 2.1.3
% 60.71/9.03 % (3442007)Termination reason: Instruction limit
% 60.71/9.03 % (3442007)Termination phase: Finite model building constraint generation
% 60.71/9.03 % (3442007)Time elapsed: 0.336 s
% 60.71/9.03 % (3442007)Peak memory usage: 74 MB
% 60.71/9.03 % (3442007)Instructions burned: 922 (million)
% 60.71/9.03 % (3442011)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=3334861888:i=1472:ins=7:fdi=8:gsp=on_2987 on theBenchmark for (2987ds/1472Mi)
% 60.71/9.03 % (3442011)Instruction limit reached!
% 60.71/9.03 % (3442011)------------------------------
% 60.71/9.03 % (3442011)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 60.71/9.03 % (3442011)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 60.71/9.03 % (3442011)CaDiCaL version: 2.1.3
% 60.71/9.03 % (3442011)Termination reason: Instruction limit
% 60.71/9.03 % (3442011)Termination phase: Saturation
% 60.71/9.03 % (3442011)Time elapsed: 0.950 s
% 53.33/9.11 % (3442011)Peak memory usage: 38 MB
% 53.33/9.11 % (3442011)Instructions burned: 1473 (million)
% 53.33/9.11 % (3442013)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=758517592:i=6324_2977 on theBenchmark for (2977ds/6324Mi)
% 53.33/9.11 % Detected minimum model sizes of [14]
% 53.33/9.11 % Detected maximum model sizes of [max]
% 53.33/9.11 % TRYING [77]
% 53.33/9.11 % TRYING [15]
% 53.33/9.11 % (3442009)Instruction limit reached!
% 53.33/9.11 % (3442009)------------------------------
% 53.33/9.11 % (3442009)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 53.33/9.11 % (3442009)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 53.33/9.11 % (3442009)CaDiCaL version: 2.1.3
% 53.33/9.11 % (3442009)Termination reason: Instruction limit
% 53.33/9.11 % (3442009)Termination phase: Saturation
% 53.33/9.11 % (3442009)Time elapsed: 2.415 s
% 53.33/9.11 % (3442009)Peak memory usage: 77 MB
% 53.33/9.11 % (3442009)Instructions burned: 5133 (million)
% 53.33/9.11 % (3442015)fmb+10_1_fmbas=function:sil=32000:sas=cadical:fmbss=16:random_seed=58765649:fmbsr=2.30978:i=2174_2966 on theBenchmark for (2966ds/2174Mi)
% 53.33/9.11 % Detected minimum model sizes of [14]
% 53.33/9.11 % Detected maximum model sizes of [max]
% 53.33/9.11 % TRYING [16]
% 53.33/9.11 % (3442015)Instruction limit reached!
% 53.33/9.11 % (3442015)------------------------------
% 53.33/9.11 % (3442015)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 53.33/9.11 % (3442015)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 53.33/9.11 % (3442015)CaDiCaL version: 2.1.3
% 53.33/9.11 % (3442015)Termination reason: Instruction limit
% 53.33/9.11 % (3442015)Termination phase: Finite model building constraint generation
% 53.33/9.11 % (3442015)Time elapsed: 0.737 s
% 53.33/9.11 % (3442015)Peak memory usage: 135 MB
% 53.33/9.11 % (3442015)Instructions burned: 2175 (million)
% 53.33/9.11 % (3442017)ott-2_1_sil=16000:newcnf=on:random_seed=962306295:avsq=on:i=869:avsqr=1,16:kws=inv_arity_squared_2958 on theBenchmark for (2958ds/869Mi)
% 53.33/9.11 % (3442017)Instruction limit reached!
% 53.33/9.11 % (3442017)------------------------------
% 53.33/9.11 % (3442017)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 53.33/9.11 % (3442017)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 53.33/9.11 % (3442017)CaDiCaL version: 2.1.3
% 53.33/9.11 % (3442017)Termination reason: Instruction limit
% 53.33/9.11 % (3442017)Termination phase: Saturation
% 53.33/9.11 % (3442017)Time elapsed: 0.418 s
% 53.33/9.11 % (3442017)Peak memory usage: 14 MB
% 53.33/9.11 % (3442017)Instructions burned: 869 (million)
% 53.33/9.11 % (3442013)Instruction limit reached!
% 53.33/9.11 % (3442013)------------------------------
% 53.33/9.11 % (3442013)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 53.33/9.11 % (3442013)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 53.33/9.11 % (3442013)CaDiCaL version: 2.1.3
% 53.33/9.11 % (3442013)Termination reason: Instruction limit
% 53.33/9.11 % (3442013)Termination phase: Finite model building constraint generation
% 53.33/9.11 % (3442013)Time elapsed: 2.367 s
% 53.33/9.11 % (3442013)Peak memory usage: 523 MB
% 53.33/9.11 % (3442013)Instructions burned: 6327 (million)
% 53.33/9.11 % (3442019)ott+10_1_sil=32000:tgt=ground:random_seed=1189412751:i=5114:av=off_2954 on theBenchmark for (2954ds/5114Mi)
% 53.33/9.11 % (3442021)fmb+10_1_sil=64000:sas=cadical:bce=on:rp=on:random_seed=3549553643:i=54282_2953 on theBenchmark for (2953ds/54282Mi)
% 53.33/9.11 % Detected minimum model sizes of [14]
% 53.33/9.11 % Detected maximum model sizes of [max]
% 53.33/9.11 % TRYING [14]
% 53.33/9.11 % (3442005)Instruction limit reached!
% 53.33/9.11 % (3442005)------------------------------
% 53.33/9.11 % (3442005)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 53.33/9.11 % (3442005)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 53.33/9.11 % (3442005)CaDiCaL version: 2.1.3
% 53.33/9.11 % (3442005)Termination reason: Instruction limit
% 53.33/9.11 % (3442005)Termination phase: Finite model building constraint generation
% 53.33/9.11 % (3442005)Time elapsed: 3.908 s
% 53.33/9.11 % (3442005)Peak memory usage: 710 MB
% 53.33/9.11 % (3442005)Instructions burned: 9522 (million)
% 53.33/9.11 % (3442023)dis-11_1_sil=16000:sp=reverse_frequency:alpa=true:random_seed=3582906001:i=3512:aac=none_2951 on theBenchmark for (2951ds/3512Mi)
% 53.33/9.11 % (3442003)Instruction limit reached!
% 53.33/9.11 % (3442003)------------------------------
% 53.33/9.11 % (3442003)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 53.33/9.11 % (3442003)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 53.33/9.11 % (3442003)CaDiCaL version: 2.1.3
% 53.33/9.11 % (3442003)Termination reason: Instruction limit
% 53.33/9.11 % (3442003)Termination phase: Finite model building SAT solving
% 53.33/9.11 % (3442003)Time elapsed: 4.687 s
% 53.33/9.11 % (3442003)Peak memory usage: 272 MB
% 53.33/9.11 % (3442003)Instructions burned: 22068 (million)
% 53.33/9.11 % (3442025)dis+21_1_sil=32000:sas=cadical:random_seed=3514787724:i=3773:amm=off_2946 on theBenchmark for (2946ds/3773Mi)
% 53.33/9.11 % TRYING [16]
% 53.33/9.11 % (3442025)Instruction limit reached!
% 53.33/9.11 % (3442025)------------------------------
% 53.33/9.11 % (3442025)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 53.33/9.11 % (3442025)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 53.33/9.11 % (3442025)CaDiCaL version: 2.1.3
% 53.33/9.11 % (3442025)Termination reason: Instruction limit
% 53.33/9.11 % (3442025)Termination phase: Saturation
% 53.33/9.11 % (3442025)Time elapsed: 0.878 s
% 53.33/9.11 % (3442025)Peak memory usage: 22 MB
% 53.33/9.11 % (3442025)Instructions burned: 3778 (million)
% 53.33/9.11 % (3442027)ott+11_1_sil=16000:gs=on:random_seed=3394047611:s2a=on:i=2251:s2at=3:kws=inv_arity_squared:nm=2:fsr=off:fsd=on_2937 on theBenchmark for (2937ds/2251Mi)
% 53.33/9.11 % (3442023)Instruction limit reached!
% 53.33/9.11 % (3442023)------------------------------
% 53.33/9.11 % (3442023)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 53.33/9.11 % (3442023)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 53.33/9.11 % (3442023)CaDiCaL version: 2.1.3
% 53.33/9.11 % (3442023)Termination reason: Instruction limit
% 53.33/9.11 % (3442023)Termination phase: Saturation
% 53.33/9.11 % (3442023)Time elapsed: 1.639 s
% 53.33/9.11 % (3442023)Peak memory usage: 24 MB
% 53.33/9.11 % (3442023)Instructions burned: 3512 (million)
% 53.33/9.11 % (3442029)fmb+10_1_fmbas=predicate:sil=64000:tgt=ground:fmbss=7:random_seed=3122651228:fmbsr=1.6:i=67534_2934 on theBenchmark for (2934ds/67534Mi)
% 53.33/9.11 % Detected minimum model sizes of [14]
% 53.33/9.11 % Detected maximum model sizes of [max]
% 53.33/9.11 % TRYING [14]
% 53.33/9.11 % (3442027)Instruction limit reached!
% 53.33/9.11 % (3442027)------------------------------
% 53.33/9.11 % (3442027)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 53.33/9.11 % (3442027)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 53.33/9.11 % (3442027)CaDiCaL version: 2.1.3
% 53.33/9.11 % (3442027)Termination reason: Instruction limit
% 53.33/9.11 % (3442027)Termination phase: Saturation
% 53.33/9.11 % (3442027)Time elapsed: 0.644 s
% 53.33/9.11 % (3442027)Peak memory usage: 25 MB
% 53.33/9.11 % (3442027)Instructions burned: 2255 (million)
% 53.33/9.11 % (3442031)ott-22_32_sil=16000:tgt=full:fdtod=off:sp=weighted_frequency:rnwc=on:alpa=false:random_seed=2897305069:avsq=on:i=4591:add=off:avsqr=1,16:kws=inv_arity:nm=10:ins=9:fdi=4_2931 on theBenchmark for (2931ds/4591Mi)
% 53.33/9.11 % (3442019)Instruction limit reached!
% 53.33/9.11 % (3442019)------------------------------
% 53.33/9.11 % (3442019)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 53.33/9.11 % (3442019)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 53.33/9.11 % (3442019)CaDiCaL version: 2.1.3
% 53.33/9.11 % (3442019)Termination reason: Instruction limit
% 53.33/9.11 % (3442019)Termination phase: Saturation
% 53.33/9.11 % (3442019)Time elapsed: 2.472 s
% 53.33/9.11 % (3442019)Peak memory usage: 19 MB
% 53.33/9.11 % (3442019)Instructions burned: 5114 (million)
% 53.33/9.11 % (3442033)dis+10_64_to=lpo:sil=32000:spb=intro:urr=on:sac=on:random_seed=1546545607:i=29340_2929 on theBenchmark for (2929ds/29340Mi)
% 53.33/9.11 % TRYING [15]
% 53.33/9.11 % (3442031)Instruction limit reached!
% 53.33/9.11 % (3442031)------------------------------
% 53.33/9.11 % (3442031)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 53.33/9.11 % (3442031)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 53.33/9.11 % (3442031)CaDiCaL version: 2.1.3
% 53.33/9.11 % (3442031)Termination reason: Instruction limit
% 53.33/9.11 % (3442031)Termination phase: Saturation
% 53.33/9.11 % (3442031)Time elapsed: 1.017 s
% 53.33/9.11 % (3442031)Peak memory usage: 41 MB
% 53.33/9.11 % (3442031)Instructions burned: 4595 (million)
% 53.33/9.11 % (3442035)dis-10_1_sil=64000:sas=cadical:cn=on:random_seed=3828140189:i=5211_2921 on theBenchmark for (2921ds/5211Mi)
% 53.33/9.11 % (3442035) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3441964-3442035"...
% 53.33/9.11 % (3442035)...printing done.
% 53.33/9.12 % (3442035)Refutation found. Thanks to Tanya!
% 53.33/9.12 % SZS status Theorem for theBenchmark
% 53.33/9.12 % SZS output start Proof for theBenchmark
% See solution above
% 53.33/9.12 % (3442035)------------------------------
% 53.33/9.12 % (3442035)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 53.33/9.12 % (3442035)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 53.33/9.12 % (3442035)CaDiCaL version: 2.1.3
% 53.33/9.12 % (3442035)Termination reason: Refutation
% 53.33/9.12 % (3442035)Time elapsed: 0.898 s
% 53.33/9.12 % (3442035)Peak memory usage: 24 MB
% 53.33/9.12 % (3442035)Instructions burned: 3638 (million)
% 53.33/9.12 % (3441964)Success in time 8.889 s
% 53.33/9.12 % Vampire exiting
%------------------------------------------------------------------------------