TSTP Solution File: SWV013-1 by E-SAT---3.1
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- Process Solution
%------------------------------------------------------------------------------
% File : E-SAT---3.1
% Problem : SWV013-1 : TPTP v8.1.2. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n016.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 2400s
% WCLimit : 300s
% DateTime : Tue Oct 10 19:55:49 EDT 2023
% Result : Satisfiable 0.15s 0.43s
% Output : Saturation 0.15s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named intruder_can_record_17)
% Comments :
%------------------------------------------------------------------------------
cnf(c_0_31,axiom,
( message(sent(t,X1,triple(encrypt(quadruple(X2,X3,generate_key(X3),X4),X5),encrypt(triple(X1,generate_key(X3),X4),X6),X7)))
| ~ a_nonce(X3)
| ~ message(sent(X2,t,triple(X2,X7,encrypt(triple(X1,X3,X4),X6))))
| ~ t_holds(key(X5,X1))
| ~ t_holds(key(X6,X2)) ),
server_t_generates_key_16,
[final] ).
cnf(c_0_32,axiom,
t_holds(key(bt,b)),
t_holds_key_bt_for_b_14,
[final] ).
cnf(c_0_33,axiom,
( message(sent(b,t,triple(b,generate_b_nonce(X1),encrypt(triple(X2,X1,generate_expiration_time(X1)),bt))))
| ~ fresh_to_b(X1)
| ~ message(sent(X2,b,pair(X2,X1))) ),
b_creates_freash_nonces_in_time_10,
[final] ).
cnf(c_0_34,axiom,
message(sent(a,b,pair(a,an_a_nonce))),
a_sent_message_i_to_b_3,
[final] ).
cnf(c_0_35,axiom,
fresh_to_b(an_a_nonce),
nonce_a_is_fresh_to_b_9,
[final] ).
cnf(c_0_36,axiom,
( message(sent(X1,X2,X3))
| ~ intruder_message(X3)
| ~ party_of_protocol(X2)
| ~ party_of_protocol(X1) ),
intruder_message_sent_31,
[final] ).
cnf(c_0_37,axiom,
party_of_protocol(b),
b_is_party_of_protocol_8,
[final] ).
cnf(c_0_38,plain,
( message(sent(t,X1,triple(encrypt(quadruple(b,X2,generate_key(X2),X3),X4),encrypt(triple(X1,generate_key(X2),X3),bt),X5)))
| ~ a_nonce(X2)
| ~ t_holds(key(X4,X1))
| ~ message(sent(b,t,triple(b,X5,encrypt(triple(X1,X2,X3),bt)))) ),
inference(spm,[status(thm)],[c_0_31,c_0_32]),
[final] ).
cnf(c_0_39,axiom,
t_holds(key(at,a)),
t_holds_key_at_for_a_13,
[final] ).
cnf(c_0_40,axiom,
( intruder_message(X1)
| ~ message(sent(X2,X3,X1)) ),
intruder_can_record_17,
[final] ).
cnf(c_0_41,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_33,c_0_34]),c_0_35])]),
[final] ).
cnf(c_0_42,plain,
( message(sent(b,t,triple(b,generate_b_nonce(X1),encrypt(triple(X2,X1,generate_expiration_time(X1)),bt))))
| ~ intruder_message(pair(X2,X1))
| ~ fresh_to_b(X1)
| ~ party_of_protocol(X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_36]),c_0_37])]),
[final] ).
cnf(c_0_43,axiom,
( intruder_message(pair(X1,X2))
| ~ intruder_message(X2)
| ~ intruder_message(X1) ),
intruder_composes_pairs_27,
[final] ).
cnf(c_0_44,plain,
( message(sent(t,a,triple(encrypt(quadruple(b,X1,generate_key(X1),X2),at),encrypt(triple(a,generate_key(X1),X2),bt),X3)))
| ~ a_nonce(X1)
| ~ message(sent(b,t,triple(b,X3,encrypt(triple(a,X1,X2),bt)))) ),
inference(spm,[status(thm)],[c_0_38,c_0_39]),
[final] ).
cnf(c_0_45,axiom,
party_of_protocol(t),
t_is_party_of_protocol_15,
[final] ).
cnf(c_0_46,axiom,
( intruder_message(X1)
| ~ intruder_message(triple(X1,X2,X3)) ),
intruder_decomposes_triples_20,
[final] ).
cnf(c_0_47,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_40,c_0_41]),
[final] ).
cnf(c_0_48,plain,
( message(sent(b,t,triple(b,generate_b_nonce(X1),encrypt(triple(X2,X1,generate_expiration_time(X1)),bt))))
| ~ intruder_message(X1)
| ~ intruder_message(X2)
| ~ fresh_to_b(X1)
| ~ party_of_protocol(X2) ),
inference(spm,[status(thm)],[c_0_42,c_0_43]),
[final] ).
cnf(c_0_49,axiom,
( message(sent(a,X1,pair(X2,encrypt(X3,X4))))
| ~ a_stored(pair(X1,X5))
| ~ message(sent(t,a,triple(encrypt(quadruple(X1,X5,X4,X6),at),X2,X3))) ),
a_forwards_secure_5,
[final] ).
cnf(c_0_50,axiom,
a_stored(pair(b,an_a_nonce)),
a_stored_message_i_4,
[final] ).
cnf(c_0_51,axiom,
a_nonce(an_a_nonce),
an_a_nonce_is_a_nonce_34,
[final] ).
cnf(c_0_52,plain,
( message(sent(t,a,triple(encrypt(quadruple(b,X1,generate_key(X1),X2),at),encrypt(triple(a,generate_key(X1),X2),bt),X3)))
| ~ intruder_message(triple(b,X3,encrypt(triple(a,X1,X2),bt)))
| ~ a_nonce(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_36]),c_0_45]),c_0_37])]),
[final] ).
cnf(c_0_53,axiom,
( intruder_message(triple(X1,X2,X3))
| ~ intruder_message(X3)
| ~ intruder_message(X2)
| ~ intruder_message(X1) ),
intruder_composes_triples_28,
[final] ).
cnf(c_0_54,plain,
intruder_message(b),
inference(spm,[status(thm)],[c_0_46,c_0_47]),
[final] ).
cnf(c_0_55,axiom,
( intruder_message(X1)
| ~ intruder_message(triple(X2,X3,X1)) ),
intruder_decomposes_triples_22,
[final] ).
cnf(c_0_56,plain,
( intruder_message(triple(b,generate_b_nonce(X1),encrypt(triple(X2,X1,generate_expiration_time(X1)),bt)))
| ~ intruder_message(X1)
| ~ intruder_message(X2)
| ~ fresh_to_b(X1)
| ~ party_of_protocol(X2) ),
inference(spm,[status(thm)],[c_0_40,c_0_48]),
[final] ).
cnf(c_0_57,axiom,
( intruder_message(X1)
| ~ intruder_message(pair(X1,X2)) ),
intruder_decomposes_pairs_18,
[final] ).
cnf(c_0_58,plain,
intruder_message(pair(a,an_a_nonce)),
inference(spm,[status(thm)],[c_0_40,c_0_34]),
[final] ).
cnf(c_0_59,plain,
( message(sent(a,b,pair(X1,encrypt(X2,X3))))
| ~ message(sent(t,a,triple(encrypt(quadruple(b,an_a_nonce,X3,X4),at),X1,X2))) ),
inference(spm,[status(thm)],[c_0_49,c_0_50]),
[final] ).
cnf(c_0_60,axiom,
party_of_protocol(a),
a_is_party_of_protocol_2,
[final] ).
cnf(c_0_61,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_44,c_0_41]),c_0_51])]),
[final] ).
cnf(c_0_62,plain,
( message(sent(t,a,triple(encrypt(quadruple(b,X1,generate_key(X1),X2),at),encrypt(triple(a,generate_key(X1),X2),bt),X3)))
| ~ intruder_message(encrypt(triple(a,X1,X2),bt))
| ~ intruder_message(X3)
| ~ a_nonce(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_53]),c_0_54])]),
[final] ).
cnf(c_0_63,plain,
( intruder_message(encrypt(triple(X1,X2,generate_expiration_time(X2)),bt))
| ~ intruder_message(X2)
| ~ intruder_message(X1)
| ~ fresh_to_b(X2)
| ~ party_of_protocol(X1) ),
inference(spm,[status(thm)],[c_0_55,c_0_56]),
[final] ).
cnf(c_0_64,plain,
intruder_message(a),
inference(spm,[status(thm)],[c_0_57,c_0_58]),
[final] ).
cnf(c_0_65,plain,
( message(sent(a,b,pair(X1,encrypt(X2,X3))))
| ~ intruder_message(triple(encrypt(quadruple(b,an_a_nonce,X3,X4),at),X1,X2)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_36]),c_0_60]),c_0_45])]),
[final] ).
cnf(c_0_66,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_40,c_0_61]),
[final] ).
cnf(c_0_67,plain,
intruder_message(encrypt(triple(a,an_a_nonce,generate_expiration_time(an_a_nonce)),bt)),
inference(spm,[status(thm)],[c_0_55,c_0_47]),
[final] ).
cnf(c_0_68,plain,
( 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)))
| ~ intruder_message(X2)
| ~ intruder_message(X1)
| ~ a_nonce(X1)
| ~ fresh_to_b(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_63]),c_0_64]),c_0_60])]),
[final] ).
cnf(c_0_69,plain,
( message(sent(t,b,triple(encrypt(quadruple(b,X1,generate_key(X1),X2),bt),encrypt(triple(b,generate_key(X1),X2),bt),X3)))
| ~ a_nonce(X1)
| ~ message(sent(b,t,triple(b,X3,encrypt(triple(b,X1,X2),bt)))) ),
inference(spm,[status(thm)],[c_0_38,c_0_32]),
[final] ).
cnf(c_0_70,plain,
( message(sent(t,X1,triple(encrypt(quadruple(a,X2,generate_key(X2),X3),X4),encrypt(triple(X1,generate_key(X2),X3),at),X5)))
| ~ a_nonce(X2)
| ~ t_holds(key(X4,X1))
| ~ message(sent(a,t,triple(a,X5,encrypt(triple(X1,X2,X3),at)))) ),
inference(spm,[status(thm)],[c_0_31,c_0_39]),
[final] ).
cnf(c_0_71,plain,
( message(sent(a,b,pair(X1,encrypt(X2,X3))))
| ~ intruder_message(encrypt(quadruple(b,an_a_nonce,X3,X4),at))
| ~ intruder_message(X2)
| ~ intruder_message(X1) ),
inference(spm,[status(thm)],[c_0_65,c_0_53]),
[final] ).
cnf(c_0_72,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_46,c_0_66]),
[final] ).
cnf(c_0_73,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),X1)))
| ~ intruder_message(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_67]),c_0_51])]),
[final] ).
cnf(c_0_74,axiom,
( intruder_message(X1)
| ~ intruder_message(triple(X2,X1,X3)) ),
intruder_decomposes_triples_21,
[final] ).
cnf(c_0_75,plain,
( 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))
| ~ intruder_message(X2)
| ~ intruder_message(X1)
| ~ a_nonce(X1)
| ~ fresh_to_b(X1) ),
inference(spm,[status(thm)],[c_0_40,c_0_68]),
[final] ).
cnf(c_0_76,plain,
( message(sent(t,b,triple(encrypt(quadruple(b,X1,generate_key(X1),X2),bt),encrypt(triple(b,generate_key(X1),X2),bt),X3)))
| ~ intruder_message(triple(b,X3,encrypt(triple(b,X1,X2),bt)))
| ~ a_nonce(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_69,c_0_36]),c_0_45]),c_0_37])]),
[final] ).
cnf(c_0_77,plain,
( 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))))
| ~ intruder_message(X1)
| ~ a_nonce(X1)
| ~ fresh_to_b(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_69,c_0_48]),c_0_54]),c_0_37])]),
[final] ).
cnf(c_0_78,plain,
( message(sent(t,a,triple(encrypt(quadruple(a,X1,generate_key(X1),X2),at),encrypt(triple(a,generate_key(X1),X2),at),X3)))
| ~ a_nonce(X1)
| ~ message(sent(a,t,triple(a,X3,encrypt(triple(a,X1,X2),at)))) ),
inference(spm,[status(thm)],[c_0_70,c_0_39]),
[final] ).
cnf(c_0_79,plain,
( message(sent(t,b,triple(encrypt(quadruple(a,X1,generate_key(X1),X2),bt),encrypt(triple(b,generate_key(X1),X2),at),X3)))
| ~ a_nonce(X1)
| ~ message(sent(a,t,triple(a,X3,encrypt(triple(b,X1,X2),at)))) ),
inference(spm,[status(thm)],[c_0_70,c_0_32]),
[final] ).
cnf(c_0_80,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_59,c_0_61]),
[final] ).
cnf(c_0_81,plain,
( message(sent(a,b,pair(X1,encrypt(X2,generate_key(an_a_nonce)))))
| ~ intruder_message(X2)
| ~ intruder_message(X1) ),
inference(spm,[status(thm)],[c_0_71,c_0_72]),
[final] ).
cnf(c_0_82,plain,
( 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)))))
| ~ intruder_message(X1) ),
inference(spm,[status(thm)],[c_0_59,c_0_73]),
[final] ).
cnf(c_0_84,plain,
( message(sent(t,b,triple(encrypt(quadruple(b,X1,generate_key(X1),X2),bt),encrypt(triple(b,generate_key(X1),X2),bt),X3)))
| ~ intruder_message(encrypt(triple(b,X1,X2),bt))
| ~ intruder_message(X3)
| ~ a_nonce(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_76,c_0_53]),c_0_54])]),
[final] ).
cnf(c_0_85,plain,
( 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)))
| ~ intruder_message(X1)
| ~ a_nonce(X1)
| ~ fresh_to_b(X1) ),
inference(spm,[status(thm)],[c_0_40,c_0_77]),
[final] ).
cnf(c_0_86,plain,
( message(sent(t,a,triple(encrypt(quadruple(a,X1,generate_key(X1),X2),at),encrypt(triple(a,generate_key(X1),X2),at),X3)))
| ~ intruder_message(triple(a,X3,encrypt(triple(a,X1,X2),at)))
| ~ a_nonce(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_36]),c_0_45]),c_0_60])]),
[final] ).
cnf(c_0_87,axiom,
( intruder_message(encrypt(X1,X2))
| ~ intruder_holds(key(X2,X3))
| ~ intruder_message(X1)
| ~ party_of_protocol(X3) ),
intruder_key_encrypts_33,
[final] ).
cnf(c_0_88,axiom,
( intruder_holds(key(X1,X2))
| ~ intruder_message(X1)
| ~ party_of_protocol(X2) ),
intruder_holds_key_32,
[final] ).
cnf(c_0_89,plain,
( message(sent(t,b,triple(encrypt(quadruple(a,X1,generate_key(X1),X2),bt),encrypt(triple(b,generate_key(X1),X2),at),X3)))
| ~ intruder_message(triple(a,X3,encrypt(triple(b,X1,X2),at)))
| ~ a_nonce(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_79,c_0_36]),c_0_45]),c_0_60])]),
[final] ).
cnf(c_0_90,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_40,c_0_80]),
[final] ).
cnf(c_0_91,axiom,
( intruder_message(X1)
| ~ intruder_message(pair(X2,X1)) ),
intruder_decomposes_pairs_19,
[final] ).
cnf(c_0_92,plain,
( intruder_message(pair(X1,encrypt(X2,generate_key(an_a_nonce))))
| ~ intruder_message(X2)
| ~ intruder_message(X1) ),
inference(spm,[status(thm)],[c_0_40,c_0_81]),
[final] ).
cnf(c_0_93,plain,
( 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))))
| ~ intruder_message(X1) ),
inference(spm,[status(thm)],[c_0_40,c_0_82]),
[final] ).
cnf(c_0_94,plain,
( 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))))
| ~ intruder_message(X1)
| ~ a_nonce(X1)
| ~ fresh_to_b(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_48]),c_0_64]),c_0_60])]),
[final] ).
cnf(c_0_95,plain,
( intruder_message(encrypt(triple(a,generate_key(X1),generate_expiration_time(X1)),bt))
| ~ intruder_message(X1)
| ~ a_nonce(X1)
| ~ fresh_to_b(X1) ),
inference(spm,[status(thm)],[c_0_83,c_0_66]),
[final] ).
cnf(c_0_97,plain,
( 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)))
| ~ intruder_message(X2)
| ~ intruder_message(X1)
| ~ a_nonce(X1)
| ~ fresh_to_b(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_84,c_0_63]),c_0_54]),c_0_37])]),
[final] ).
cnf(c_0_98,plain,
( intruder_message(encrypt(triple(b,generate_key(X1),generate_expiration_time(X1)),bt))
| ~ intruder_message(X1)
| ~ a_nonce(X1)
| ~ fresh_to_b(X1) ),
inference(spm,[status(thm)],[c_0_74,c_0_85]),
[final] ).
cnf(c_0_99,plain,
( message(sent(t,a,triple(encrypt(quadruple(a,X1,generate_key(X1),X2),at),encrypt(triple(a,generate_key(X1),X2),at),X3)))
| ~ intruder_message(encrypt(triple(a,X1,X2),at))
| ~ intruder_message(X3)
| ~ a_nonce(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_86,c_0_53]),c_0_64])]),
[final] ).
cnf(c_0_100,plain,
( intruder_message(encrypt(X1,X2))
| ~ intruder_message(X1)
| ~ intruder_message(X2)
| ~ party_of_protocol(X3) ),
inference(spm,[status(thm)],[c_0_87,c_0_88]),
[final] ).
cnf(c_0_101,plain,
( message(sent(t,b,triple(encrypt(quadruple(a,X1,generate_key(X1),X2),bt),encrypt(triple(b,generate_key(X1),X2),at),X3)))
| ~ intruder_message(encrypt(triple(b,X1,X2),at))
| ~ intruder_message(X3)
| ~ a_nonce(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_89,c_0_53]),c_0_64])]),
[final] ).
cnf(c_0_102,plain,
intruder_message(encrypt(triple(a,generate_key(an_a_nonce),generate_expiration_time(an_a_nonce)),bt)),
inference(spm,[status(thm)],[c_0_57,c_0_90]),
[final] ).
cnf(c_0_104,plain,
( 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))))
| ~ fresh_to_b(encrypt(generate_b_nonce(an_a_nonce),generate_key(an_a_nonce)))
| ~ party_of_protocol(encrypt(triple(a,generate_key(an_a_nonce),generate_expiration_time(an_a_nonce)),bt)) ),
inference(spm,[status(thm)],[c_0_42,c_0_90]),
[final] ).
cnf(c_0_105,plain,
( 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))))
| ~ intruder_message(X1)
| ~ fresh_to_b(encrypt(X1,generate_key(an_a_nonce)))
| ~ party_of_protocol(encrypt(triple(a,generate_key(an_a_nonce),generate_expiration_time(an_a_nonce)),bt)) ),
inference(spm,[status(thm)],[c_0_42,c_0_93]),
[final] ).
cnf(c_0_106,plain,
( 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)))
| ~ intruder_message(X1)
| ~ a_nonce(X1)
| ~ fresh_to_b(X1) ),
inference(spm,[status(thm)],[c_0_40,c_0_94]),
[final] ).
cnf(c_0_107,plain,
( 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)))
| ~ intruder_message(X2)
| ~ intruder_message(X1)
| ~ a_nonce(generate_key(X1))
| ~ a_nonce(X1)
| ~ fresh_to_b(X1) ),
inference(spm,[status(thm)],[c_0_62,c_0_95]),
[final] ).
cnf(c_0_108,plain,
( intruder_message(encrypt(quadruple(b,X1,generate_key(X1),generate_expiration_time(X1)),at))
| ~ intruder_message(X1)
| ~ a_nonce(X1)
| ~ fresh_to_b(X1) ),
inference(spm,[status(thm)],[c_0_96,c_0_66]),
[final] ).
cnf(c_0_109,plain,
( 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))
| ~ intruder_message(X2)
| ~ intruder_message(X1)
| ~ a_nonce(X1)
| ~ fresh_to_b(X1) ),
inference(spm,[status(thm)],[c_0_40,c_0_97]),
[final] ).
cnf(c_0_110,plain,
( 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)))
| ~ intruder_message(X2)
| ~ intruder_message(X1)
| ~ a_nonce(generate_key(X1))
| ~ a_nonce(X1)
| ~ fresh_to_b(X1) ),
inference(spm,[status(thm)],[c_0_84,c_0_98]),
[final] ).
cnf(c_0_111,plain,
( intruder_message(encrypt(quadruple(b,X1,generate_key(X1),generate_expiration_time(X1)),bt))
| ~ intruder_message(X1)
| ~ a_nonce(X1)
| ~ fresh_to_b(X1) ),
inference(spm,[status(thm)],[c_0_46,c_0_85]),
[final] ).
cnf(c_0_112,plain,
( intruder_message(generate_b_nonce(X1))
| ~ intruder_message(X1)
| ~ a_nonce(X1)
| ~ fresh_to_b(X1) ),
inference(spm,[status(thm)],[c_0_55,c_0_85]),
[final] ).
cnf(c_0_113,plain,
( message(sent(t,a,triple(encrypt(quadruple(a,X1,generate_key(X1),X2),at),encrypt(triple(a,generate_key(X1),X2),at),X3)))
| ~ intruder_message(triple(a,X1,X2))
| ~ intruder_message(at)
| ~ intruder_message(X3)
| ~ a_nonce(X1)
| ~ party_of_protocol(X4) ),
inference(spm,[status(thm)],[c_0_99,c_0_100]),
[final] ).
cnf(c_0_114,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),X1))
| ~ intruder_message(X1) ),
inference(spm,[status(thm)],[c_0_40,c_0_73]),
[final] ).
cnf(c_0_115,plain,
( 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))))
| ~ intruder_message(X1)
| ~ intruder_message(X2)
| ~ fresh_to_b(encrypt(X1,generate_key(an_a_nonce)))
| ~ party_of_protocol(X2) ),
inference(spm,[status(thm)],[c_0_42,c_0_92]),
[final] ).
cnf(c_0_116,plain,
( message(sent(t,b,triple(encrypt(quadruple(a,X1,generate_key(X1),X2),bt),encrypt(triple(b,generate_key(X1),X2),at),X3)))
| ~ intruder_message(triple(b,X1,X2))
| ~ intruder_message(at)
| ~ intruder_message(X3)
| ~ a_nonce(X1)
| ~ party_of_protocol(X4) ),
inference(spm,[status(thm)],[c_0_101,c_0_100]),
[final] ).
cnf(c_0_117,plain,
( message(sent(t,a,triple(encrypt(quadruple(b,X1,generate_key(X1),X2),at),encrypt(triple(a,generate_key(X1),X2),bt),X3)))
| ~ intruder_message(triple(a,X1,X2))
| ~ intruder_message(bt)
| ~ intruder_message(X3)
| ~ a_nonce(X1)
| ~ party_of_protocol(X4) ),
inference(spm,[status(thm)],[c_0_62,c_0_100]),
[final] ).
cnf(c_0_118,plain,
( 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)))
| ~ intruder_message(X1)
| ~ a_nonce(generate_key(an_a_nonce)) ),
inference(spm,[status(thm)],[c_0_62,c_0_102]),
[final] ).
cnf(c_0_119,plain,
( 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))))
| ~ intruder_message(X1)
| ~ fresh_to_b(encrypt(X1,generate_key(an_a_nonce))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_81]),c_0_64])]),
[final] ).
cnf(c_0_120,plain,
( intruder_message(encrypt(X1,generate_key(an_a_nonce)))
| ~ intruder_message(X1) ),
inference(spm,[status(thm)],[c_0_103,c_0_66]),
[final] ).
cnf(c_0_121,plain,
( message(sent(t,b,triple(encrypt(quadruple(b,X1,generate_key(X1),X2),bt),encrypt(triple(b,generate_key(X1),X2),bt),X3)))
| ~ intruder_message(triple(b,X1,X2))
| ~ intruder_message(bt)
| ~ intruder_message(X3)
| ~ a_nonce(X1)
| ~ party_of_protocol(X4) ),
inference(spm,[status(thm)],[c_0_84,c_0_100]),
[final] ).
cnf(c_0_122,plain,
( intruder_message(generate_b_nonce(X1))
| ~ intruder_message(X1)
| ~ intruder_message(X2)
| ~ fresh_to_b(X1)
| ~ party_of_protocol(X2) ),
inference(spm,[status(thm)],[c_0_74,c_0_56]),
[final] ).
cnf(c_0_123,plain,
( message(sent(a,b,pair(X1,encrypt(X2,X3))))
| ~ intruder_message(quadruple(b,an_a_nonce,X3,X4))
| ~ intruder_message(at)
| ~ intruder_message(X2)
| ~ intruder_message(X1)
| ~ party_of_protocol(X5) ),
inference(spm,[status(thm)],[c_0_71,c_0_100]),
[final] ).
cnf(c_0_124,axiom,
( intruder_message(quadruple(X1,X2,X3,X4))
| ~ intruder_message(X4)
| ~ intruder_message(X3)
| ~ intruder_message(X2)
| ~ intruder_message(X1) ),
intruder_composes_quadruples_29,
[final] ).
cnf(c_0_125,axiom,
( intruder_message(X1)
| ~ intruder_holds(key(X1,X2))
| ~ intruder_message(encrypt(X3,X1))
| ~ party_of_protocol(X2) ),
intruder_interception_30,
[final] ).
cnf(c_0_126,axiom,
( intruder_message(X1)
| ~ intruder_message(quadruple(X1,X2,X3,X4)) ),
intruder_decomposes_quadruples_23,
[final] ).
cnf(c_0_127,axiom,
( intruder_message(X1)
| ~ intruder_message(quadruple(X2,X1,X3,X4)) ),
intruder_decomposes_quadruples_24,
[final] ).
cnf(c_0_128,axiom,
( intruder_message(X1)
| ~ intruder_message(quadruple(X2,X3,X1,X4)) ),
intruder_decomposes_quadruples_25,
[final] ).
cnf(c_0_129,axiom,
( intruder_message(X1)
| ~ intruder_message(quadruple(X2,X3,X4,X1)) ),
intruder_decomposes_quadruples_26,
[final] ).
cnf(c_0_130,plain,
intruder_message(encrypt(generate_b_nonce(an_a_nonce),generate_key(an_a_nonce))),
inference(spm,[status(thm)],[c_0_91,c_0_90]),
[final] ).
cnf(c_0_131,plain,
intruder_message(generate_b_nonce(an_a_nonce)),
inference(spm,[status(thm)],[c_0_74,c_0_47]),
[final] ).
cnf(c_0_132,plain,
intruder_message(an_a_nonce),
inference(spm,[status(thm)],[c_0_91,c_0_58]),
[final] ).
cnf(c_0_133,axiom,
a_nonce(generate_expiration_time(X1)),
generated_times_and_nonces_are_nonces_36,
[final] ).
cnf(c_0_134,axiom,
a_nonce(generate_b_nonce(X1)),
generated_times_and_nonces_are_nonces_37,
[final] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.10 % Problem : SWV013-1 : TPTP v8.1.2. Released v2.4.0.
% 0.02/0.11 % Command : run_E %s %d THM
% 0.10/0.31 % Computer : n016.cluster.edu
% 0.10/0.31 % Model : x86_64 x86_64
% 0.10/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31 % Memory : 8042.1875MB
% 0.10/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31 % CPULimit : 2400
% 0.10/0.31 % WCLimit : 300
% 0.10/0.31 % DateTime : Tue Oct 3 04:26:07 EDT 2023
% 0.10/0.31 % CPUTime :
% 0.15/0.41 Running first-order model finding
% 0.15/0.41 Running: /export/starexec/sandbox/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --satauto-schedule=8 --cpu-limit=300 /export/starexec/sandbox/tmp/tmp.j753Z8Vk0c/E---3.1_17774.p
% 0.15/0.43 # Version: 3.1pre001
% 0.15/0.43 # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.15/0.43 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.15/0.43 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.15/0.43 # Starting new_bool_3 with 300s (1) cores
% 0.15/0.43 # Starting new_bool_1 with 300s (1) cores
% 0.15/0.43 # Starting sh5l with 300s (1) cores
% 0.15/0.43 # new_bool_1 with pid 17853 completed with status 8
% 0.15/0.43 # new_bool_3 with pid 17852 completed with status 8
% 0.15/0.43 # sh5l with pid 17854 completed with status 8
% 0.15/0.43 # G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 17851 completed with status 1
% 0.15/0.43 # Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 0.15/0.43 # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.15/0.43 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.15/0.43 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.15/0.43 # No SInE strategy applied
% 0.15/0.43 # Search class: FHUNS-FFMM32-MFFFFFNN
% 0.15/0.43 # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 0.15/0.43 # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S4d with 811s (1) cores
% 0.15/0.43 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 0.15/0.43 # Starting new_bool_3 with 136s (1) cores
% 0.15/0.43 # Starting new_bool_1 with 136s (1) cores
% 0.15/0.43 # Starting sh5l with 136s (1) cores
% 0.15/0.43 # G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S4d with pid 17858 completed with status 1
% 0.15/0.43 # Result found by G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S4d
% 0.15/0.43 # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.15/0.43 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.15/0.43 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.15/0.43 # No SInE strategy applied
% 0.15/0.43 # Search class: FHUNS-FFMM32-MFFFFFNN
% 0.15/0.43 # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 0.15/0.43 # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S4d with 811s (1) cores
% 0.15/0.43 # Preprocessing time : 0.001 s
% 0.15/0.43 # Presaturation interreduction done
% 0.15/0.43
% 0.15/0.43 # No proof found!
% 0.15/0.43 # SZS status Satisfiable
% 0.15/0.43 # SZS output start Saturation
% See solution above
% 0.15/0.44 # Parsed axioms : 31
% 0.15/0.44 # Removed by relevancy pruning/SinE : 0
% 0.15/0.44 # Initial clauses : 31
% 0.15/0.44 # Removed in clause preprocessing : 0
% 0.15/0.44 # Initial clauses in saturation : 31
% 0.15/0.44 # Processed clauses : 148
% 0.15/0.44 # ...of these trivial : 1
% 0.15/0.44 # ...subsumed : 12
% 0.15/0.44 # ...remaining for further processing : 135
% 0.15/0.44 # Other redundant clauses eliminated : 0
% 0.15/0.44 # Clauses deleted for lack of memory : 0
% 0.15/0.44 # Backward-subsumed : 3
% 0.15/0.44 # Backward-rewritten : 0
% 0.15/0.44 # Generated clauses : 171
% 0.15/0.44 # ...of the previous two non-redundant : 146
% 0.15/0.44 # ...aggressively subsumed : 0
% 0.15/0.44 # Contextual simplify-reflections : 0
% 0.15/0.44 # Paramodulations : 171
% 0.15/0.44 # Factorizations : 0
% 0.15/0.44 # NegExts : 0
% 0.15/0.44 # Equation resolutions : 0
% 0.15/0.44 # Total rewrite steps : 63
% 0.15/0.44 # Propositional unsat checks : 0
% 0.15/0.44 # Propositional check models : 0
% 0.15/0.44 # Propositional check unsatisfiable : 0
% 0.15/0.44 # Propositional clauses : 0
% 0.15/0.44 # Propositional clauses after purity: 0
% 0.15/0.44 # Propositional unsat core size : 0
% 0.15/0.44 # Propositional preprocessing time : 0.000
% 0.15/0.44 # Propositional encoding time : 0.000
% 0.15/0.44 # Propositional solver time : 0.000
% 0.15/0.44 # Success case prop preproc time : 0.000
% 0.15/0.44 # Success case prop encoding time : 0.000
% 0.15/0.44 # Success case prop solver time : 0.000
% 0.15/0.44 # Current number of processed clauses : 101
% 0.15/0.44 # Positive orientable unit clauses : 26
% 0.15/0.44 # Positive unorientable unit clauses: 0
% 0.15/0.44 # Negative unit clauses : 0
% 0.15/0.44 # Non-unit-clauses : 75
% 0.15/0.44 # Current number of unprocessed clauses: 0
% 0.15/0.44 # ...number of literals in the above : 0
% 0.15/0.44 # Current number of archived formulas : 0
% 0.15/0.44 # Current number of archived clauses : 34
% 0.15/0.44 # Clause-clause subsumption calls (NU) : 1271
% 0.15/0.44 # Rec. Clause-clause subsumption calls : 475
% 0.15/0.44 # Non-unit clause-clause subsumptions : 15
% 0.15/0.44 # Unit Clause-clause subsumption calls : 0
% 0.15/0.44 # Rewrite failures with RHS unbound : 0
% 0.15/0.44 # BW rewrite match attempts : 10
% 0.15/0.44 # BW rewrite match successes : 0
% 0.15/0.44 # Condensation attempts : 0
% 0.15/0.44 # Condensation successes : 0
% 0.15/0.44 # Termbank termtop insertions : 6060
% 0.15/0.44
% 0.15/0.44 # -------------------------------------------------
% 0.15/0.44 # User time : 0.011 s
% 0.15/0.44 # System time : 0.004 s
% 0.15/0.44 # Total time : 0.015 s
% 0.15/0.44 # Maximum resident set size: 1680 pages
% 0.15/0.44
% 0.15/0.44 # -------------------------------------------------
% 0.15/0.44 # User time : 0.100 s
% 0.15/0.44 # System time : 0.015 s
% 0.15/0.44 # Total time : 0.115 s
% 0.15/0.44 # Maximum resident set size: 1740 pages
% 0.15/0.44 % E---3.1 exiting
%------------------------------------------------------------------------------