%------------------------------------------------------------------------------
% File : E-SAT---3.5.1
% Problem : SWV013-1 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n009.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 : Thu Sep 24 03:00:21 PM UTC 2026
% Result : Satisfiable 0.13s 0.44s
% Output : Saturation 0.13s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named c_0_36ERROR: Could not build tree for root c_0_86ERROR: MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
cnf(c_0_34,plain,
( ~ t_holds(key(X6,X2))
| ~ t_holds(key(X5,X1))
| ~ message(sent(X2,t,triple(X2,X7,encrypt(triple(X1,X3,X4),X6))))
| ~ a_nonce(X3)
| message(sent(t,X1,triple(encrypt(quadruple(X2,X3,generate_key(X3),X4),X5),encrypt(triple(X1,generate_key(X3),X4),X6),X7))) ),
c_0_31,
[final] ).
cnf(c_0_35,axiom,
t_holds(key(bt,b)),
t_holds_key_bt_for_b_14,
[final] ).
cnf(c_0_37,plain,
( ~ message(sent(X2,b,pair(X2,X1)))
| ~ fresh_to_b(X1)
| message(sent(b,t,triple(b,generate_b_nonce(X1),encrypt(triple(X2,X1,generate_expiration_time(X1)),bt)))) ),
c_0_32,
[final] ).
cnf(c_0_38,axiom,
message(sent(a,b,pair(a,an_a_nonce))),
a_sent_message_i_to_b_3,
[final] ).
cnf(c_0_39,axiom,
fresh_to_b(an_a_nonce),
nonce_a_is_fresh_to_b_9,
[final] ).
cnf(c_0_40,plain,
( ~ party_of_protocol(X1)
| ~ party_of_protocol(X2)
| ~ intruder_message(X3)
| message(sent(X1,X2,X3)) ),
c_0_33,
[final] ).
cnf(c_0_41,axiom,
party_of_protocol(b),
b_is_party_of_protocol_8,
[final] ).
cnf(c_0_43,plain,
( ~ message(sent(b,t,triple(b,X5,encrypt(triple(X1,X2,X3),bt))))
| ~ t_holds(key(X4,X1))
| ~ a_nonce(X2)
| message(sent(t,X1,triple(encrypt(quadruple(b,X2,generate_key(X2),X3),X4),encrypt(triple(X1,generate_key(X2),X3),bt),X5))) ),
inference(spm,[status(thm)],[c_0_34,c_0_35]),
[final] ).
cnf(c_0_44,axiom,
t_holds(key(at,a)),
t_holds_key_at_for_a_13,
[final] ).
cnf(c_0_46,plain,
( ~ message(sent(X2,X3,X1))
| intruder_message(X1) ),
c_0_36,
[final] ).
cnf(c_0_47,plain,
message(sent(b,t,triple(b,generate_b_nonce(an_a_nonce),encrypt(triple(a,an_a_nonce,generate_expiration_time(an_a_nonce)),bt)))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_38]),c_0_39])]),
[final] ).
cnf(c_0_48,plain,
( ~ party_of_protocol(X2)
| ~ fresh_to_b(X1)
| ~ intruder_message(pair(X2,X1))
| message(sent(b,t,triple(b,generate_b_nonce(X1),encrypt(triple(X2,X1,generate_expiration_time(X1)),bt)))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_40]),c_0_41])]),
[final] ).
cnf(c_0_49,plain,
( ~ intruder_message(X1)
| ~ intruder_message(X2)
| intruder_message(pair(X1,X2)) ),
c_0_42,
[final] ).
cnf(c_0_51,plain,
( ~ message(sent(b,t,triple(b,X3,encrypt(triple(a,X1,X2),bt))))
| ~ a_nonce(X1)
| message(sent(t,a,triple(encrypt(quadruple(b,X1,generate_key(X1),X2),at),encrypt(triple(a,generate_key(X1),X2),bt),X3))) ),
inference(spm,[status(thm)],[c_0_43,c_0_44]),
[final] ).
cnf(c_0_52,axiom,
party_of_protocol(t),
t_is_party_of_protocol_15,
[final] ).
cnf(c_0_54,plain,
( ~ intruder_message(triple(X1,X2,X3))
| intruder_message(X1) ),
c_0_45,
[final] ).
cnf(c_0_55,plain,
intruder_message(triple(b,generate_b_nonce(an_a_nonce),encrypt(triple(a,an_a_nonce,generate_expiration_time(an_a_nonce)),bt))),
inference(spm,[status(thm)],[c_0_46,c_0_47]),
[final] ).
cnf(c_0_57,plain,
( ~ party_of_protocol(X2)
| ~ fresh_to_b(X1)
| ~ intruder_message(X2)
| ~ intruder_message(X1)
| message(sent(b,t,triple(b,generate_b_nonce(X1),encrypt(triple(X2,X1,generate_expiration_time(X1)),bt)))) ),
inference(spm,[status(thm)],[c_0_48,c_0_49]),
[final] ).
cnf(c_0_59,plain,
( ~ message(sent(t,a,triple(encrypt(quadruple(X1,X5,X4,X6),at),X2,X3)))
| ~ a_stored(pair(X1,X5))
| message(sent(a,X1,pair(X2,encrypt(X3,X4)))) ),
c_0_50,
[final] ).
cnf(c_0_60,axiom,
a_stored(pair(b,an_a_nonce)),
a_stored_message_i_4,
[final] ).
cnf(c_0_61,axiom,
a_nonce(an_a_nonce),
an_a_nonce_is_a_nonce_34,
[final] ).
cnf(c_0_62,plain,
( ~ a_nonce(X1)
| ~ intruder_message(triple(b,X3,encrypt(triple(a,X1,X2),bt)))
| message(sent(t,a,triple(encrypt(quadruple(b,X1,generate_key(X1),X2),at),encrypt(triple(a,generate_key(X1),X2),bt),X3))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_40]),c_0_52]),c_0_41])]),
[final] ).
cnf(c_0_63,plain,
( ~ intruder_message(X1)
| ~ intruder_message(X2)
| ~ intruder_message(X3)
| intruder_message(triple(X1,X2,X3)) ),
c_0_53,
[final] ).
cnf(c_0_64,plain,
intruder_message(b),
inference(spm,[status(thm)],[c_0_54,c_0_55]),
[final] ).
cnf(c_0_65,plain,
( ~ intruder_message(triple(X2,X3,X1))
| intruder_message(X1) ),
c_0_56,
[final] ).
cnf(c_0_66,plain,
( ~ party_of_protocol(X2)
| ~ fresh_to_b(X1)
| ~ intruder_message(X2)
| ~ intruder_message(X1)
| intruder_message(triple(b,generate_b_nonce(X1),encrypt(triple(X2,X1,generate_expiration_time(X1)),bt))) ),
inference(spm,[status(thm)],[c_0_46,c_0_57]),
[final] ).
cnf(c_0_67,plain,
( ~ intruder_message(pair(X1,X2))
| intruder_message(X1) ),
c_0_58,
[final] ).
cnf(c_0_68,plain,
intruder_message(pair(a,an_a_nonce)),
inference(spm,[status(thm)],[c_0_46,c_0_38]),
[final] ).
cnf(c_0_69,plain,
( ~ message(sent(t,a,triple(encrypt(quadruple(b,an_a_nonce,X3,X4),at),X1,X2)))
| message(sent(a,b,pair(X1,encrypt(X2,X3)))) ),
inference(spm,[status(thm)],[c_0_59,c_0_60]),
[final] ).
cnf(c_0_70,axiom,
party_of_protocol(a),
a_is_party_of_protocol_2,
[final] ).
cnf(c_0_71,plain,
message(sent(t,a,triple(encrypt(quadruple(b,an_a_nonce,generate_key(an_a_nonce),generate_expiration_time(an_a_nonce)),at),encrypt(triple(a,generate_key(an_a_nonce),generate_expiration_time(an_a_nonce)),bt),generate_b_nonce(an_a_nonce)))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_47]),c_0_61])]),
[final] ).
cnf(c_0_72,plain,
( ~ a_nonce(X1)
| ~ intruder_message(X3)
| ~ intruder_message(encrypt(triple(a,X1,X2),bt))
| message(sent(t,a,triple(encrypt(quadruple(b,X1,generate_key(X1),X2),at),encrypt(triple(a,generate_key(X1),X2),bt),X3))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_63]),c_0_64])]),
[final] ).
cnf(c_0_73,plain,
( ~ party_of_protocol(X1)
| ~ fresh_to_b(X2)
| ~ intruder_message(X1)
| ~ intruder_message(X2)
| intruder_message(encrypt(triple(X1,X2,generate_expiration_time(X2)),bt)) ),
inference(spm,[status(thm)],[c_0_65,c_0_66]),
[final] ).
cnf(c_0_74,plain,
intruder_message(a),
inference(spm,[status(thm)],[c_0_67,c_0_68]),
[final] ).
cnf(c_0_75,plain,
( ~ intruder_message(triple(encrypt(quadruple(b,an_a_nonce,X3,X4),at),X1,X2))
| message(sent(a,b,pair(X1,encrypt(X2,X3)))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_69,c_0_40]),c_0_70]),c_0_52])]),
[final] ).
cnf(c_0_76,plain,
intruder_message(triple(encrypt(quadruple(b,an_a_nonce,generate_key(an_a_nonce),generate_expiration_time(an_a_nonce)),at),encrypt(triple(a,generate_key(an_a_nonce),generate_expiration_time(an_a_nonce)),bt),generate_b_nonce(an_a_nonce))),
inference(spm,[status(thm)],[c_0_46,c_0_71]),
[final] ).
cnf(c_0_77,plain,
intruder_message(encrypt(triple(a,an_a_nonce,generate_expiration_time(an_a_nonce)),bt)),
inference(spm,[status(thm)],[c_0_65,c_0_55]),
[final] ).
cnf(c_0_79,plain,
( ~ fresh_to_b(X1)
| ~ a_nonce(X1)
| ~ intruder_message(X1)
| ~ intruder_message(X2)
| message(sent(t,a,triple(encrypt(quadruple(b,X1,generate_key(X1),generate_expiration_time(X1)),at),encrypt(triple(a,generate_key(X1),generate_expiration_time(X1)),bt),X2))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_72,c_0_73]),c_0_74]),c_0_70])]),
[final] ).
cnf(c_0_80,plain,
( ~ message(sent(b,t,triple(b,X3,encrypt(triple(b,X1,X2),bt))))
| ~ a_nonce(X1)
| message(sent(t,b,triple(encrypt(quadruple(b,X1,generate_key(X1),X2),bt),encrypt(triple(b,generate_key(X1),X2),bt),X3))) ),
inference(spm,[status(thm)],[c_0_43,c_0_35]),
[final] ).
cnf(c_0_81,plain,
( ~ message(sent(a,t,triple(a,X5,encrypt(triple(X1,X2,X3),at))))
| ~ t_holds(key(X4,X1))
| ~ a_nonce(X2)
| message(sent(t,X1,triple(encrypt(quadruple(a,X2,generate_key(X2),X3),X4),encrypt(triple(X1,generate_key(X2),X3),at),X5))) ),
inference(spm,[status(thm)],[c_0_34,c_0_44]),
[final] ).
cnf(c_0_82,plain,
( ~ intruder_message(X1)
| ~ intruder_message(X2)
| ~ intruder_message(encrypt(quadruple(b,an_a_nonce,X3,X4),at))
| message(sent(a,b,pair(X1,encrypt(X2,X3)))) ),
inference(spm,[status(thm)],[c_0_75,c_0_63]),
[final] ).
cnf(c_0_83,plain,
intruder_message(encrypt(quadruple(b,an_a_nonce,generate_key(an_a_nonce),generate_expiration_time(an_a_nonce)),at)),
inference(spm,[status(thm)],[c_0_54,c_0_76]),
[final] ).
cnf(c_0_84,plain,
( ~ intruder_message(X1)
| message(sent(t,a,triple(encrypt(quadruple(b,an_a_nonce,generate_key(an_a_nonce),generate_expiration_time(an_a_nonce)),at),encrypt(triple(a,generate_key(an_a_nonce),generate_expiration_time(an_a_nonce)),bt),X1))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_72,c_0_77]),c_0_61])]),
[final] ).
cnf(c_0_85,plain,
( ~ intruder_message(triple(X2,X1,X3))
| intruder_message(X1) ),
c_0_78,
[final] ).
cnf(c_0_86,plain,
( ~ fresh_to_b(X1)
| ~ a_nonce(X1)
| ~ intruder_message(X1)
| ~ intruder_message(X2)
| intruder_message(triple(encrypt(quadruple(b,X1,generate_key(X1),generate_expiration_time(X1)),at),encrypt(triple(a,generate_key(X1),generate_expiration_time(X1)),bt),X2)) ),
inference(spm,[status(thm)],[c_0_46,c_0_79]),
[final] ).
cnf(c_0_87,plain,
( ~ a_nonce(X1)
| ~ intruder_message(triple(b,X3,encrypt(triple(b,X1,X2),bt)))
| message(sent(t,b,triple(encrypt(quadruple(b,X1,generate_key(X1),X2),bt),encrypt(triple(b,generate_key(X1),X2),bt),X3))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_80,c_0_40]),c_0_52]),c_0_41])]),
[final] ).
cnf(c_0_88,plain,
( ~ fresh_to_b(X1)
| ~ a_nonce(X1)
| ~ intruder_message(X1)
| message(sent(t,b,triple(encrypt(quadruple(b,X1,generate_key(X1),generate_expiration_time(X1)),bt),encrypt(triple(b,generate_key(X1),generate_expiration_time(X1)),bt),generate_b_nonce(X1)))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_80,c_0_57]),c_0_64]),c_0_41])]),
[final] ).
cnf(c_0_89,plain,
( ~ message(sent(a,t,triple(a,X3,encrypt(triple(a,X1,X2),at))))
| ~ a_nonce(X1)
| message(sent(t,a,triple(encrypt(quadruple(a,X1,generate_key(X1),X2),at),encrypt(triple(a,generate_key(X1),X2),at),X3))) ),
inference(spm,[status(thm)],[c_0_81,c_0_44]),
[final] ).
cnf(c_0_92,plain,
( ~ message(sent(a,t,triple(a,X3,encrypt(triple(b,X1,X2),at))))
| ~ a_nonce(X1)
| message(sent(t,b,triple(encrypt(quadruple(a,X1,generate_key(X1),X2),bt),encrypt(triple(b,generate_key(X1),X2),at),X3))) ),
inference(spm,[status(thm)],[c_0_81,c_0_35]),
[final] ).
cnf(c_0_93,plain,
message(sent(a,b,pair(encrypt(triple(a,generate_key(an_a_nonce),generate_expiration_time(an_a_nonce)),bt),encrypt(generate_b_nonce(an_a_nonce),generate_key(an_a_nonce))))),
inference(spm,[status(thm)],[c_0_69,c_0_71]),
[final] ).
cnf(c_0_95,plain,
( ~ intruder_message(X1)
| ~ intruder_message(X2)
| message(sent(a,b,pair(X1,encrypt(X2,generate_key(an_a_nonce))))) ),
inference(spm,[status(thm)],[c_0_82,c_0_83]),
[final] ).
cnf(c_0_96,plain,
( ~ intruder_message(X1)
| message(sent(a,b,pair(encrypt(triple(a,generate_key(an_a_nonce),generate_expiration_time(an_a_nonce)),bt),encrypt(X1,generate_key(an_a_nonce))))) ),
inference(spm,[status(thm)],[c_0_69,c_0_84]),
[final] ).
cnf(c_0_98,plain,
( ~ a_nonce(X1)
| ~ intruder_message(X3)
| ~ intruder_message(encrypt(triple(b,X1,X2),bt))
| message(sent(t,b,triple(encrypt(quadruple(b,X1,generate_key(X1),X2),bt),encrypt(triple(b,generate_key(X1),X2),bt),X3))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_87,c_0_63]),c_0_64])]),
[final] ).
cnf(c_0_99,plain,
( ~ fresh_to_b(X1)
| ~ a_nonce(X1)
| ~ intruder_message(X1)
| intruder_message(triple(encrypt(quadruple(b,X1,generate_key(X1),generate_expiration_time(X1)),bt),encrypt(triple(b,generate_key(X1),generate_expiration_time(X1)),bt),generate_b_nonce(X1))) ),
inference(spm,[status(thm)],[c_0_46,c_0_88]),
[final] ).
cnf(c_0_100,plain,
( ~ a_nonce(X1)
| ~ intruder_message(triple(a,X3,encrypt(triple(a,X1,X2),at)))
| message(sent(t,a,triple(encrypt(quadruple(a,X1,generate_key(X1),X2),at),encrypt(triple(a,generate_key(X1),X2),at),X3))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_89,c_0_40]),c_0_52]),c_0_70])]),
[final] ).
cnf(c_0_101,plain,
( ~ party_of_protocol(X3)
| ~ intruder_message(X1)
| ~ intruder_holds(key(X2,X3))
| intruder_message(encrypt(X1,X2)) ),
c_0_90,
[final] ).
cnf(c_0_102,plain,
( ~ party_of_protocol(X2)
| ~ intruder_message(X1)
| intruder_holds(key(X1,X2)) ),
c_0_91,
[final] ).
cnf(c_0_103,plain,
( ~ a_nonce(X1)
| ~ intruder_message(triple(a,X3,encrypt(triple(b,X1,X2),at)))
| message(sent(t,b,triple(encrypt(quadruple(a,X1,generate_key(X1),X2),bt),encrypt(triple(b,generate_key(X1),X2),at),X3))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_92,c_0_40]),c_0_52]),c_0_70])]),
[final] ).
cnf(c_0_104,plain,
intruder_message(pair(encrypt(triple(a,generate_key(an_a_nonce),generate_expiration_time(an_a_nonce)),bt),encrypt(generate_b_nonce(an_a_nonce),generate_key(an_a_nonce)))),
inference(spm,[status(thm)],[c_0_46,c_0_93]),
[final] ).
cnf(c_0_105,plain,
( ~ intruder_message(pair(X2,X1))
| intruder_message(X1) ),
c_0_94,
[final] ).
cnf(c_0_106,plain,
( ~ intruder_message(X1)
| ~ intruder_message(X2)
| intruder_message(pair(X1,encrypt(X2,generate_key(an_a_nonce)))) ),
inference(spm,[status(thm)],[c_0_46,c_0_95]),
[final] ).
cnf(c_0_107,plain,
( ~ intruder_message(X1)
| intruder_message(pair(encrypt(triple(a,generate_key(an_a_nonce),generate_expiration_time(an_a_nonce)),bt),encrypt(X1,generate_key(an_a_nonce)))) ),
inference(spm,[status(thm)],[c_0_46,c_0_96]),
[final] ).
cnf(c_0_108,plain,
( ~ fresh_to_b(X1)
| ~ a_nonce(X1)
| ~ intruder_message(X1)
| message(sent(t,a,triple(encrypt(quadruple(b,X1,generate_key(X1),generate_expiration_time(X1)),at),encrypt(triple(a,generate_key(X1),generate_expiration_time(X1)),bt),generate_b_nonce(X1)))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_57]),c_0_74]),c_0_70])]),
[final] ).
cnf(c_0_109,plain,
( ~ fresh_to_b(X1)
| ~ a_nonce(X1)
| ~ intruder_message(X1)
| intruder_message(encrypt(triple(a,generate_key(X1),generate_expiration_time(X1)),bt)) ),
inference(spm,[status(thm)],[c_0_97,c_0_76]),
[final] ).
cnf(c_0_111,plain,
( ~ fresh_to_b(X1)
| ~ a_nonce(X1)
| ~ intruder_message(X1)
| ~ intruder_message(X2)
| message(sent(t,b,triple(encrypt(quadruple(b,X1,generate_key(X1),generate_expiration_time(X1)),bt),encrypt(triple(b,generate_key(X1),generate_expiration_time(X1)),bt),X2))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_98,c_0_73]),c_0_64]),c_0_41])]),
[final] ).
cnf(c_0_112,plain,
( ~ fresh_to_b(X1)
| ~ a_nonce(X1)
| ~ intruder_message(X1)
| intruder_message(encrypt(triple(b,generate_key(X1),generate_expiration_time(X1)),bt)) ),
inference(spm,[status(thm)],[c_0_85,c_0_99]),
[final] ).
cnf(c_0_113,plain,
( ~ a_nonce(X1)
| ~ intruder_message(X3)
| ~ intruder_message(encrypt(triple(a,X1,X2),at))
| message(sent(t,a,triple(encrypt(quadruple(a,X1,generate_key(X1),X2),at),encrypt(triple(a,generate_key(X1),X2),at),X3))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_100,c_0_63]),c_0_74])]),
[final] ).
cnf(c_0_114,plain,
( ~ party_of_protocol(X3)
| ~ intruder_message(X2)
| ~ intruder_message(X1)
| intruder_message(encrypt(X1,X2)) ),
inference(spm,[status(thm)],[c_0_101,c_0_102]),
[final] ).
cnf(c_0_115,plain,
( ~ a_nonce(X1)
| ~ intruder_message(X3)
| ~ intruder_message(encrypt(triple(b,X1,X2),at))
| message(sent(t,b,triple(encrypt(quadruple(a,X1,generate_key(X1),X2),bt),encrypt(triple(b,generate_key(X1),X2),at),X3))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_103,c_0_63]),c_0_74])]),
[final] ).
cnf(c_0_116,plain,
intruder_message(encrypt(triple(a,generate_key(an_a_nonce),generate_expiration_time(an_a_nonce)),bt)),
inference(spm,[status(thm)],[c_0_67,c_0_104]),
[final] ).
cnf(c_0_124,plain,
( ~ party_of_protocol(encrypt(triple(a,generate_key(an_a_nonce),generate_expiration_time(an_a_nonce)),bt))
| ~ fresh_to_b(encrypt(generate_b_nonce(an_a_nonce),generate_key(an_a_nonce)))
| message(sent(b,t,triple(b,generate_b_nonce(encrypt(generate_b_nonce(an_a_nonce),generate_key(an_a_nonce))),encrypt(triple(encrypt(triple(a,generate_key(an_a_nonce),generate_expiration_time(an_a_nonce)),bt),encrypt(generate_b_nonce(an_a_nonce),generate_key(an_a_nonce)),generate_expiration_time(encrypt(generate_b_nonce(an_a_nonce),generate_key(an_a_nonce)))),bt)))) ),
inference(spm,[status(thm)],[c_0_48,c_0_104]),
[final] ).
cnf(c_0_125,plain,
( ~ party_of_protocol(encrypt(triple(a,generate_key(an_a_nonce),generate_expiration_time(an_a_nonce)),bt))
| ~ fresh_to_b(encrypt(X1,generate_key(an_a_nonce)))
| ~ intruder_message(X1)
| message(sent(b,t,triple(b,generate_b_nonce(encrypt(X1,generate_key(an_a_nonce))),encrypt(triple(encrypt(triple(a,generate_key(an_a_nonce),generate_expiration_time(an_a_nonce)),bt),encrypt(X1,generate_key(an_a_nonce)),generate_expiration_time(encrypt(X1,generate_key(an_a_nonce)))),bt)))) ),
inference(spm,[status(thm)],[c_0_48,c_0_107]),
[final] ).
cnf(c_0_126,plain,
( ~ fresh_to_b(X1)
| ~ a_nonce(X1)
| ~ intruder_message(X1)
| intruder_message(triple(encrypt(quadruple(b,X1,generate_key(X1),generate_expiration_time(X1)),at),encrypt(triple(a,generate_key(X1),generate_expiration_time(X1)),bt),generate_b_nonce(X1))) ),
inference(spm,[status(thm)],[c_0_46,c_0_108]),
[final] ).
cnf(c_0_127,plain,
( ~ fresh_to_b(X1)
| ~ a_nonce(X1)
| ~ a_nonce(generate_key(X1))
| ~ intruder_message(X1)
| ~ intruder_message(X2)
| message(sent(t,a,triple(encrypt(quadruple(b,generate_key(X1),generate_key(generate_key(X1)),generate_expiration_time(X1)),at),encrypt(triple(a,generate_key(generate_key(X1)),generate_expiration_time(X1)),bt),X2))) ),
inference(spm,[status(thm)],[c_0_72,c_0_109]),
[final] ).
cnf(c_0_128,plain,
( ~ fresh_to_b(X1)
| ~ a_nonce(X1)
| ~ intruder_message(X1)
| intruder_message(encrypt(quadruple(b,X1,generate_key(X1),generate_expiration_time(X1)),at)) ),
inference(spm,[status(thm)],[c_0_110,c_0_76]),
[final] ).
cnf(c_0_129,plain,
( ~ fresh_to_b(X1)
| ~ a_nonce(X1)
| ~ intruder_message(X1)
| ~ intruder_message(X2)
| intruder_message(triple(encrypt(quadruple(b,X1,generate_key(X1),generate_expiration_time(X1)),bt),encrypt(triple(b,generate_key(X1),generate_expiration_time(X1)),bt),X2)) ),
inference(spm,[status(thm)],[c_0_46,c_0_111]),
[final] ).
cnf(c_0_130,plain,
( ~ fresh_to_b(X1)
| ~ a_nonce(X1)
| ~ a_nonce(generate_key(X1))
| ~ intruder_message(X1)
| ~ intruder_message(X2)
| message(sent(t,b,triple(encrypt(quadruple(b,generate_key(X1),generate_key(generate_key(X1)),generate_expiration_time(X1)),bt),encrypt(triple(b,generate_key(generate_key(X1)),generate_expiration_time(X1)),bt),X2))) ),
inference(spm,[status(thm)],[c_0_98,c_0_112]),
[final] ).
cnf(c_0_131,plain,
( ~ fresh_to_b(X1)
| ~ a_nonce(X1)
| ~ intruder_message(X1)
| intruder_message(encrypt(quadruple(b,X1,generate_key(X1),generate_expiration_time(X1)),bt)) ),
inference(spm,[status(thm)],[c_0_54,c_0_99]),
[final] ).
cnf(c_0_132,plain,
( ~ fresh_to_b(X1)
| ~ a_nonce(X1)
| ~ intruder_message(X1)
| intruder_message(generate_b_nonce(X1)) ),
inference(spm,[status(thm)],[c_0_65,c_0_99]),
[final] ).
cnf(c_0_133,plain,
( ~ party_of_protocol(X4)
| ~ a_nonce(X1)
| ~ intruder_message(X3)
| ~ intruder_message(at)
| ~ intruder_message(triple(a,X1,X2))
| message(sent(t,a,triple(encrypt(quadruple(a,X1,generate_key(X1),X2),at),encrypt(triple(a,generate_key(X1),X2),at),X3))) ),
inference(spm,[status(thm)],[c_0_113,c_0_114]),
[final] ).
cnf(c_0_134,plain,
( ~ intruder_message(X1)
| intruder_message(triple(encrypt(quadruple(b,an_a_nonce,generate_key(an_a_nonce),generate_expiration_time(an_a_nonce)),at),encrypt(triple(a,generate_key(an_a_nonce),generate_expiration_time(an_a_nonce)),bt),X1)) ),
inference(spm,[status(thm)],[c_0_46,c_0_84]),
[final] ).
cnf(c_0_135,plain,
( ~ party_of_protocol(X2)
| ~ fresh_to_b(encrypt(X1,generate_key(an_a_nonce)))
| ~ intruder_message(X2)
| ~ intruder_message(X1)
| message(sent(b,t,triple(b,generate_b_nonce(encrypt(X1,generate_key(an_a_nonce))),encrypt(triple(X2,encrypt(X1,generate_key(an_a_nonce)),generate_expiration_time(encrypt(X1,generate_key(an_a_nonce)))),bt)))) ),
inference(spm,[status(thm)],[c_0_48,c_0_106]),
[final] ).
cnf(c_0_136,plain,
( ~ party_of_protocol(X4)
| ~ a_nonce(X1)
| ~ intruder_message(X3)
| ~ intruder_message(at)
| ~ intruder_message(triple(b,X1,X2))
| message(sent(t,b,triple(encrypt(quadruple(a,X1,generate_key(X1),X2),bt),encrypt(triple(b,generate_key(X1),X2),at),X3))) ),
inference(spm,[status(thm)],[c_0_115,c_0_114]),
[final] ).
cnf(c_0_137,plain,
( ~ party_of_protocol(X4)
| ~ a_nonce(X1)
| ~ intruder_message(X3)
| ~ intruder_message(bt)
| ~ intruder_message(triple(a,X1,X2))
| message(sent(t,a,triple(encrypt(quadruple(b,X1,generate_key(X1),X2),at),encrypt(triple(a,generate_key(X1),X2),bt),X3))) ),
inference(spm,[status(thm)],[c_0_72,c_0_114]),
[final] ).
cnf(c_0_138,plain,
( ~ a_nonce(generate_key(an_a_nonce))
| ~ intruder_message(X1)
| message(sent(t,a,triple(encrypt(quadruple(b,generate_key(an_a_nonce),generate_key(generate_key(an_a_nonce)),generate_expiration_time(an_a_nonce)),at),encrypt(triple(a,generate_key(generate_key(an_a_nonce)),generate_expiration_time(an_a_nonce)),bt),X1))) ),
inference(spm,[status(thm)],[c_0_72,c_0_116]),
[final] ).
cnf(c_0_139,plain,
( ~ fresh_to_b(encrypt(X1,generate_key(an_a_nonce)))
| ~ intruder_message(X1)
| message(sent(b,t,triple(b,generate_b_nonce(encrypt(X1,generate_key(an_a_nonce))),encrypt(triple(a,encrypt(X1,generate_key(an_a_nonce)),generate_expiration_time(encrypt(X1,generate_key(an_a_nonce)))),bt)))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_95]),c_0_74])]),
[final] ).
cnf(c_0_140,plain,
( ~ intruder_message(X1)
| intruder_message(encrypt(X1,generate_key(an_a_nonce))) ),
inference(spm,[status(thm)],[c_0_117,c_0_76]),
[final] ).
cnf(c_0_141,plain,
( ~ party_of_protocol(X4)
| ~ a_nonce(X1)
| ~ intruder_message(X3)
| ~ intruder_message(bt)
| ~ intruder_message(triple(b,X1,X2))
| message(sent(t,b,triple(encrypt(quadruple(b,X1,generate_key(X1),X2),bt),encrypt(triple(b,generate_key(X1),X2),bt),X3))) ),
inference(spm,[status(thm)],[c_0_98,c_0_114]),
[final] ).
cnf(c_0_142,plain,
( ~ party_of_protocol(X2)
| ~ fresh_to_b(X1)
| ~ intruder_message(X2)
| ~ intruder_message(X1)
| intruder_message(generate_b_nonce(X1)) ),
inference(spm,[status(thm)],[c_0_85,c_0_66]),
[final] ).
cnf(c_0_143,plain,
( ~ party_of_protocol(X5)
| ~ intruder_message(X1)
| ~ intruder_message(X2)
| ~ intruder_message(at)
| ~ intruder_message(quadruple(b,an_a_nonce,X3,X4))
| message(sent(a,b,pair(X1,encrypt(X2,X3)))) ),
inference(spm,[status(thm)],[c_0_82,c_0_114]),
[final] ).
cnf(c_0_144,plain,
( ~ intruder_message(X1)
| ~ intruder_message(X2)
| ~ intruder_message(X3)
| ~ intruder_message(X4)
| intruder_message(quadruple(X1,X2,X3,X4)) ),
c_0_118,
[final] ).
cnf(c_0_145,plain,
( ~ party_of_protocol(X2)
| ~ intruder_message(encrypt(X3,X1))
| ~ intruder_holds(key(X1,X2))
| intruder_message(X1) ),
c_0_119,
[final] ).
cnf(c_0_146,plain,
( ~ intruder_message(quadruple(X1,X2,X3,X4))
| intruder_message(X1) ),
c_0_120,
[final] ).
cnf(c_0_147,plain,
( ~ intruder_message(quadruple(X2,X1,X3,X4))
| intruder_message(X1) ),
c_0_121,
[final] ).
cnf(c_0_148,plain,
( ~ intruder_message(quadruple(X2,X3,X1,X4))
| intruder_message(X1) ),
c_0_122,
[final] ).
cnf(c_0_149,plain,
( ~ intruder_message(quadruple(X2,X3,X4,X1))
| intruder_message(X1) ),
c_0_123,
[final] ).
cnf(c_0_150,plain,
intruder_message(encrypt(generate_b_nonce(an_a_nonce),generate_key(an_a_nonce))),
inference(spm,[status(thm)],[c_0_105,c_0_104]),
[final] ).
cnf(c_0_151,plain,
intruder_message(generate_b_nonce(an_a_nonce)),
inference(spm,[status(thm)],[c_0_85,c_0_55]),
[final] ).
cnf(c_0_152,plain,
intruder_message(an_a_nonce),
inference(spm,[status(thm)],[c_0_105,c_0_68]),
[final] ).
cnf(c_0_153,axiom,
a_nonce(generate_expiration_time(X1)),
generated_times_and_nonces_are_nonces_36,
[final] ).
cnf(c_0_154,axiom,
a_nonce(generate_b_nonce(X1)),
generated_times_and_nonces_are_nonces_37,
[final] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWV013-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.04 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.36 % Computer : n009.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Mon Sep 21 08:26:58 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.36 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.13/0.40 Running first-order theorem proving
% 0.13/0.40 Running: /export/starexec/sandbox2/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.44 % Version: 3.5.1
% 0.13/0.44 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.13/0.44 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.13/0.44 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.13/0.44 % Starting new_bool_3 with 300s (1) cores
% 0.13/0.44 % Starting new_bool_1 with 300s (1) cores
% 0.13/0.44 % Starting sh5l with 300s (1) cores
% 0.13/0.44 % G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 1315186 completed with status 1
% 0.13/0.44 % Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 0.13/0.44 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.13/0.44 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.13/0.44 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.13/0.44 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.13/0.44 % No SInE strategy applied
% 0.13/0.44 % Search class: FHUNS-FFMM32-MFFFFFNN
% 0.13/0.44 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.13/0.44 % Starting SubtermCWHack with 136s (1) cores
% 0.13/0.44 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 0.13/0.44 % Starting G-E--_207_C18_F1_AE_CS_SP_PI_PS_S3S with 136s (1) cores
% 0.13/0.44 % Starting new_bool_3 with 136s (1) cores
% 0.13/0.44 % Starting new_bool_1 with 136s (1) cores
% 0.13/0.44 % new_bool_1 with pid 1315198 completed with status 1
% 0.13/0.44 % Result found by new_bool_1
% 0.13/0.44 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.13/0.44 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.13/0.44 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.13/0.44 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.13/0.44 % No SInE strategy applied
% 0.13/0.44 % Search class: FHUNS-FFMM32-MFFFFFNN
% 0.13/0.44 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.13/0.44 % Starting SubtermCWHack with 136s (1) cores
% 0.13/0.44 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 0.13/0.44 % Starting G-E--_207_C18_F1_AE_CS_SP_PI_PS_S3S with 136s (1) cores
% 0.13/0.44 % Starting new_bool_3 with 136s (1) cores
% 0.13/0.44 % Starting new_bool_1 with 136s (1) cores
% 0.13/0.44 % Preprocessing time : 0.001 s
% 0.13/0.44 % Presaturation interreduction done
% 0.13/0.44
% 0.13/0.44 % No proof found!
% 0.13/0.44 % SZS status Satisfiable
% 0.13/0.44 % SZS output start Saturation
% See solution above
% 0.13/0.44 % Parsed axioms : 31
% 0.13/0.44 % Removed by relevancy pruning/SinE : 0
% 0.13/0.44 % Initial clauses : 31
% 0.13/0.44 % Removed in clause preprocessing : 0
% 0.13/0.44 % Initial clauses in saturation : 31
% 0.13/0.44 % Processed clauses : 148
% 0.13/0.44 % ...of these trivial : 1
% 0.13/0.44 % ...subsumed : 12
% 0.13/0.44 % ...remaining for further processing : 135
% 0.13/0.44 % Other redundant clauses eliminated : 0
% 0.13/0.44 % Clauses deleted for lack of memory : 0
% 0.13/0.44 % Backward-subsumed : 3
% 0.13/0.44 % Backward-rewritten : 0
% 0.13/0.44 % Generated clauses : 171
% 0.13/0.44 % ...of the previous two non-redundant : 146
% 0.13/0.44 % ...aggressively subsumed : 0
% 0.13/0.44 % Contextual simplify-reflections : 0
% 0.13/0.44 % Paramodulations : 171
% 0.13/0.44 % Factorizations : 0
% 0.13/0.44 % NegExts : 0
% 0.13/0.44 % Equation resolutions : 0
% 0.13/0.44 % Disequality decompositions : 0
% 0.13/0.44 % Total rewrite steps : 63
% 0.13/0.44 % ...of those cached : 49
% 0.13/0.44 % Propositional unsat checks : 0
% 0.13/0.44 % Propositional check models : 0
% 0.13/0.44 % Propositional check unsatisfiable : 0
% 0.13/0.44 % Propositional clauses : 0
% 0.13/0.44 % Propositional clauses after purity: 0
% 0.13/0.44 % Propositional unsat core size : 0
% 0.13/0.44 % Propositional preprocessing time : 0.000
% 0.13/0.44 % Propositional encoding time : 0.000
% 0.13/0.44 % Propositional solver time : 0.000
% 0.13/0.44 % Success case prop preproc time : 0.000
% 0.13/0.44 % Success case prop encoding time : 0.000
% 0.13/0.44 % Success case prop solver time : 0.000
% 0.13/0.44 % Current number of processed clauses : 101
% 0.13/0.44 % Positive orientable unit clauses : 26
% 0.13/0.44 % Positive unorientable unit clauses: 0
% 0.13/0.44 % Negative unit clauses : 0
% 0.13/0.44 % Non-unit-clauses : 75
% 0.13/0.44 % Current number of unprocessed clauses: 0
% 0.13/0.44 % ...number of literals in the above : 0
% 0.13/0.44 % Current number of archived formulas : 0
% 0.13/0.44 % Current number of archived clauses : 34
% 0.13/0.44 % Clause-clause subsumption calls (NU) : 1138
% 0.13/0.44 % Rec. Clause-clause subsumption calls : 343
% 0.13/0.44 % Non-unit clause-clause subsumptions : 15
% 0.13/0.44 % Unit Clause-clause subsumption calls : 0
% 0.13/0.44 % Rewrite failures with RHS unbound : 0
% 0.13/0.44 % BW rewrite match attempts : 10
% 0.13/0.44 % BW rewrite match successes : 0
% 0.13/0.44 % Condensation attempts : 0
% 0.13/0.44 % Condensation successes : 0
% 0.13/0.44 % Termbank termtop insertions : 6357
% 0.13/0.44 % Search garbage collected termcells : 89
% 0.13/0.44
% 0.13/0.44 % -------------------------------------------------
% 0.13/0.44 % User time : 0.014 s
% 0.13/0.44 % System time : 0.006 s
% 0.13/0.44 % Total time : 0.020 s
% 0.13/0.44 % Maximum resident set size: 3664 pages
% 0.13/0.44
% 0.13/0.44 % -------------------------------------------------
% 0.13/0.44 % User time : 0.077 s
% 0.13/0.44 % System time : 0.019 s
% 0.13/0.44 % Total time : 0.096 s
% 0.13/0.44 % Maximum resident set size: 4864 pages
% 0.13/0.44 % E exiting
%------------------------------------------------------------------------------