%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : SWV015-1 : TPTP v9.2.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox2/solver/bin/cse --final-prover /export/starexec/sandbox2/solver/bin/eprover --proof-time %d --global-time-limit %d
% Computer : n007.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 : 300s
% WCLimit : 300s
% DateTime : Tue May 5 05:20:36 PM UTC 2026
% Result : Satisfiable 1.28s 1.73s
% Output : Saturation 1.28s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
cnf(server_t_generates_key_16,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)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',server_t_generates_key_16) ).
cnf(t_holds_key_bt_for_b_14,axiom,
t_holds(key(bt,b)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t_holds_key_bt_for_b_14) ).
cnf(b_creates_freash_nonces_in_time_10,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))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',b_creates_freash_nonces_in_time_10) ).
cnf(a_sent_message_i_to_b_3,axiom,
message(sent(a,b,pair(a,an_a_nonce))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_sent_message_i_to_b_3) ).
cnf(nonce_a_is_fresh_to_b_9,axiom,
fresh_to_b(an_a_nonce),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',nonce_a_is_fresh_to_b_9) ).
cnf(t_holds_key_at_for_a_13,axiom,
t_holds(key(at,a)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t_holds_key_at_for_a_13) ).
cnf(intruder_can_record_17,axiom,
( intruder_message(X1)
| ~ message(sent(X2,X3,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',intruder_can_record_17) ).
cnf(a_forwards_secure_5,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))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_forwards_secure_5) ).
cnf(a_stored_message_i_4,axiom,
a_stored(pair(b,an_a_nonce)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_stored_message_i_4) ).
cnf(an_a_nonce_is_a_nonce_34,axiom,
a_nonce(an_a_nonce),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',an_a_nonce_is_a_nonce_34) ).
cnf(intruder_message_sent_31,axiom,
( message(sent(X1,X2,X3))
| ~ intruder_message(X3)
| ~ party_of_protocol(X2)
| ~ party_of_protocol(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',intruder_message_sent_31) ).
cnf(t_is_party_of_protocol_15,axiom,
party_of_protocol(t),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t_is_party_of_protocol_15) ).
cnf(b_is_party_of_protocol_8,axiom,
party_of_protocol(b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',b_is_party_of_protocol_8) ).
cnf(intruder_decomposes_triples_20,axiom,
( intruder_message(X1)
| ~ intruder_message(triple(X1,X2,X3)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',intruder_decomposes_triples_20) ).
cnf(a_is_party_of_protocol_2,axiom,
party_of_protocol(a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_is_party_of_protocol_2) ).
cnf(intruder_composes_triples_28,axiom,
( intruder_message(triple(X1,X2,X3))
| ~ intruder_message(X3)
| ~ intruder_message(X2)
| ~ intruder_message(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',intruder_composes_triples_28) ).
cnf(intruder_decomposes_triples_22,axiom,
( intruder_message(X1)
| ~ intruder_message(triple(X2,X3,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',intruder_decomposes_triples_22) ).
cnf(intruder_composes_pairs_27,axiom,
( intruder_message(pair(X1,X2))
| ~ intruder_message(X2)
| ~ intruder_message(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',intruder_composes_pairs_27) ).
cnf(intruder_decomposes_pairs_18,axiom,
( intruder_message(X1)
| ~ intruder_message(pair(X1,X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',intruder_decomposes_pairs_18) ).
cnf(intruder_key_encrypts_33,axiom,
( intruder_message(encrypt(X1,X2))
| ~ intruder_holds(key(X2,X3))
| ~ intruder_message(X1)
| ~ party_of_protocol(X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',intruder_key_encrypts_33) ).
cnf(intruder_holds_key_32,axiom,
( intruder_holds(key(X1,X2))
| ~ intruder_message(X1)
| ~ party_of_protocol(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',intruder_holds_key_32) ).
cnf(intruder_decomposes_pairs_19,axiom,
( intruder_message(X1)
| ~ intruder_message(pair(X2,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',intruder_decomposes_pairs_19) ).
cnf(intruder_decomposes_triples_21,axiom,
( intruder_message(X1)
| ~ intruder_message(triple(X2,X1,X3)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',intruder_decomposes_triples_21) ).
cnf(nothing_is_a_nonce_and_a_key_38,axiom,
( ~ a_key(X1)
| ~ a_nonce(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',nothing_is_a_nonce_and_a_key_38) ).
cnf(generated_keys_are_keys_39,axiom,
a_key(generate_key(X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',generated_keys_are_keys_39) ).
cnf(intruder_composes_quadruples_29,axiom,
( intruder_message(quadruple(X1,X2,X3,X4))
| ~ intruder_message(X4)
| ~ intruder_message(X3)
| ~ intruder_message(X2)
| ~ intruder_message(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',intruder_composes_quadruples_29) ).
cnf(intruder_interception_30,axiom,
( intruder_message(X1)
| ~ intruder_holds(key(X1,X2))
| ~ intruder_message(encrypt(X3,X1))
| ~ party_of_protocol(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',intruder_interception_30) ).
cnf(intruder_decomposes_quadruples_23,axiom,
( intruder_message(X1)
| ~ intruder_message(quadruple(X1,X2,X3,X4)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',intruder_decomposes_quadruples_23) ).
cnf(intruder_decomposes_quadruples_24,axiom,
( intruder_message(X1)
| ~ intruder_message(quadruple(X2,X1,X3,X4)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',intruder_decomposes_quadruples_24) ).
cnf(intruder_decomposes_quadruples_25,axiom,
( intruder_message(X1)
| ~ intruder_message(quadruple(X2,X3,X1,X4)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',intruder_decomposes_quadruples_25) ).
cnf(intruder_decomposes_quadruples_26,axiom,
( intruder_message(X1)
| ~ intruder_message(quadruple(X2,X3,X4,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',intruder_decomposes_quadruples_26) ).
cnf(generated_times_and_nonces_are_nonces_36,axiom,
a_nonce(generate_expiration_time(X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',generated_times_and_nonces_are_nonces_36) ).
cnf(generated_times_and_nonces_are_nonces_37,axiom,
a_nonce(generate_b_nonce(X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',generated_times_and_nonces_are_nonces_37) ).
cnf(c_0_33,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_34,axiom,
t_holds(key(bt,b)),
t_holds_key_bt_for_b_14,
[final] ).
cnf(c_0_35,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_36,axiom,
message(sent(a,b,pair(a,an_a_nonce))),
a_sent_message_i_to_b_3,
[final] ).
cnf(c_0_37,axiom,
fresh_to_b(an_a_nonce),
nonce_a_is_fresh_to_b_9,
[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_33,c_0_34]),
[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_35,c_0_36]),c_0_37])]),
[final] ).
cnf(c_0_42,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_43,axiom,
a_stored(pair(b,an_a_nonce)),
a_stored_message_i_4,
[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,
a_nonce(an_a_nonce),
an_a_nonce_is_a_nonce_34,
[final] ).
cnf(c_0_46,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_47,axiom,
party_of_protocol(t),
t_is_party_of_protocol_15,
[final] ).
cnf(c_0_48,axiom,
party_of_protocol(b),
b_is_party_of_protocol_8,
[final] ).
cnf(c_0_49,axiom,
( intruder_message(X1)
| ~ intruder_message(triple(X1,X2,X3)) ),
intruder_decomposes_triples_20,
[final] ).
cnf(c_0_50,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_51,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_42,c_0_43]),
[final] ).
cnf(c_0_52,axiom,
party_of_protocol(a),
a_is_party_of_protocol_2,
[final] ).
cnf(c_0_53,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_45])]),
[final] ).
cnf(c_0_54,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_46]),c_0_47]),c_0_48])]),
[final] ).
cnf(c_0_55,axiom,
( intruder_message(triple(X1,X2,X3))
| ~ intruder_message(X3)
| ~ intruder_message(X2)
| ~ intruder_message(X1) ),
intruder_composes_triples_28,
[final] ).
cnf(c_0_56,plain,
intruder_message(b),
inference(spm,[status(thm)],[c_0_49,c_0_50]),
[final] ).
cnf(c_0_57,axiom,
( intruder_message(X1)
| ~ intruder_message(triple(X2,X3,X1)) ),
intruder_decomposes_triples_22,
[final] ).
cnf(c_0_58,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_35,c_0_46]),c_0_48])]),
[final] ).
cnf(c_0_59,axiom,
( intruder_message(pair(X1,X2))
| ~ intruder_message(X2)
| ~ intruder_message(X1) ),
intruder_composes_pairs_27,
[final] ).
cnf(c_0_60,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_51,c_0_46]),c_0_52]),c_0_47])]),
[final] ).
cnf(c_0_61,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_53]),
[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_54,c_0_55]),c_0_56])]),
[final] ).
cnf(c_0_63,plain,
intruder_message(encrypt(triple(a,an_a_nonce,generate_expiration_time(an_a_nonce)),bt)),
inference(spm,[status(thm)],[c_0_57,c_0_50]),
[final] ).
cnf(c_0_64,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_58,c_0_59]),
[final] ).
cnf(c_0_65,axiom,
( intruder_message(X1)
| ~ intruder_message(pair(X1,X2)) ),
intruder_decomposes_pairs_18,
[final] ).
cnf(c_0_66,plain,
intruder_message(pair(a,an_a_nonce)),
inference(spm,[status(thm)],[c_0_40,c_0_36]),
[final] ).
cnf(c_0_67,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_34]),
[final] ).
cnf(c_0_68,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_33,c_0_39]),
[final] ).
cnf(c_0_69,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_60,c_0_55]),
[final] ).
cnf(c_0_70,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_49,c_0_61]),
[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),X1)))
| ~ intruder_message(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_63]),c_0_45])]),
[final] ).
cnf(c_0_72,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_64]),
[final] ).
cnf(c_0_73,plain,
intruder_message(a),
inference(spm,[status(thm)],[c_0_65,c_0_66]),
[final] ).
cnf(c_0_74,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_67,c_0_46]),c_0_47]),c_0_48])]),
[final] ).
cnf(c_0_75,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_68,c_0_39]),
[final] ).
cnf(c_0_76,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_68,c_0_34]),
[final] ).
cnf(c_0_77,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_69,c_0_70]),
[final] ).
cnf(c_0_78,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_51,c_0_71]),
[final] ).
cnf(c_0_79,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_51,c_0_53]),
[final] ).
cnf(c_0_80,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_57,c_0_72]),
[final] ).
cnf(c_0_81,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_64]),c_0_73]),c_0_52])]),
[final] ).
cnf(c_0_82,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_74,c_0_55]),c_0_56])]),
[final] ).
cnf(c_0_83,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_67,c_0_64]),c_0_56]),c_0_48])]),
[final] ).
cnf(c_0_84,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_75,c_0_46]),c_0_47]),c_0_52])]),
[final] ).
cnf(c_0_85,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_86,axiom,
( intruder_holds(key(X1,X2))
| ~ intruder_message(X1)
| ~ party_of_protocol(X2) ),
intruder_holds_key_32,
[final] ).
cnf(c_0_87,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_76,c_0_46]),c_0_47]),c_0_52])]),
[final] ).
cnf(c_0_88,axiom,
( intruder_message(X1)
| ~ intruder_message(pair(X2,X1)) ),
intruder_decomposes_pairs_19,
[final] ).
cnf(c_0_89,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_77]),
[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(X1,generate_key(an_a_nonce))))
| ~ intruder_message(X1) ),
inference(spm,[status(thm)],[c_0_40,c_0_78]),
[final] ).
cnf(c_0_91,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_79]),
[final] ).
cnf(c_0_92,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_80]),c_0_73]),c_0_52])]),
[final] ).
cnf(c_0_93,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_81]),
[final] ).
cnf(c_0_94,axiom,
( intruder_message(X1)
| ~ intruder_message(triple(X2,X1,X3)) ),
intruder_decomposes_triples_21,
[final] ).
cnf(c_0_95,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_82,c_0_80]),c_0_56]),c_0_48])]),
[final] ).
cnf(c_0_96,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_83]),
[final] ).
cnf(c_0_97,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_84,c_0_55]),c_0_73])]),
[final] ).
cnf(c_0_98,plain,
( intruder_message(encrypt(X1,X2))
| ~ intruder_message(X1)
| ~ intruder_message(X2)
| ~ party_of_protocol(X3) ),
inference(spm,[status(thm)],[c_0_85,c_0_86]),
[final] ).
cnf(c_0_99,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_87,c_0_55]),c_0_73])]),
[final] ).
cnf(c_0_100,plain,
( intruder_message(encrypt(X1,generate_key(an_a_nonce)))
| ~ intruder_message(X1)
| ~ intruder_message(X2) ),
inference(spm,[status(thm)],[c_0_88,c_0_89]) ).
cnf(c_0_101,axiom,
( ~ a_key(X1)
| ~ a_nonce(X1) ),
nothing_is_a_nonce_and_a_key_38,
[final] ).
cnf(c_0_102,axiom,
a_key(generate_key(X1)),
generated_keys_are_keys_39,
[final] ).
cnf(c_0_103,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_58,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_58,c_0_91]),
[final] ).
cnf(c_0_105,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_92]),
[final] ).
cnf(c_0_106,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_49,c_0_93]),
[final] ).
cnf(c_0_107,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_94,c_0_93]),
[final] ).
cnf(c_0_108,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_95]),
[final] ).
cnf(c_0_109,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_71]),
[final] ).
cnf(c_0_110,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_49,c_0_96]),
[final] ).
cnf(c_0_111,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_94,c_0_96]),
[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_57,c_0_96]),
[final] ).
cnf(c_0_113,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_58,c_0_89]),
[final] ).
cnf(c_0_114,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_97,c_0_98]),
[final] ).
cnf(c_0_115,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_99,c_0_98]),
[final] ).
cnf(c_0_116,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_35,c_0_77]),c_0_73])]),
[final] ).
cnf(c_0_117,plain,
( intruder_message(encrypt(X1,generate_key(an_a_nonce)))
| ~ intruder_message(X1) ),
inference(spm,[status(thm)],[c_0_100,c_0_61]),
[final] ).
cnf(c_0_118,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_98]),
[final] ).
cnf(c_0_119,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_82,c_0_98]),
[final] ).
cnf(c_0_120,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_94,c_0_72]),
[final] ).
cnf(c_0_121,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_69,c_0_98]),
[final] ).
cnf(c_0_122,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_123,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_124,axiom,
( intruder_message(X1)
| ~ intruder_message(quadruple(X1,X2,X3,X4)) ),
intruder_decomposes_quadruples_23,
[final] ).
cnf(c_0_125,axiom,
( intruder_message(X1)
| ~ intruder_message(quadruple(X2,X1,X3,X4)) ),
intruder_decomposes_quadruples_24,
[final] ).
cnf(c_0_126,axiom,
( intruder_message(X1)
| ~ intruder_message(quadruple(X2,X3,X1,X4)) ),
intruder_decomposes_quadruples_25,
[final] ).
cnf(c_0_127,axiom,
( intruder_message(X1)
| ~ intruder_message(quadruple(X2,X3,X4,X1)) ),
intruder_decomposes_quadruples_26,
[final] ).
cnf(c_0_128,plain,
~ a_nonce(generate_key(X1)),
inference(spm,[status(thm)],[c_0_101,c_0_102]),
[final] ).
cnf(c_0_129,plain,
intruder_message(encrypt(triple(a,generate_key(an_a_nonce),generate_expiration_time(an_a_nonce)),bt)),
inference(spm,[status(thm)],[c_0_65,c_0_91]),
[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_88,c_0_91]),
[final] ).
cnf(c_0_131,plain,
intruder_message(generate_b_nonce(an_a_nonce)),
inference(spm,[status(thm)],[c_0_94,c_0_50]),
[final] ).
cnf(c_0_132,plain,
intruder_message(an_a_nonce),
inference(spm,[status(thm)],[c_0_88,c_0_66]),
[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
% 0.00/0.12 % Problem : SWV015-1 : TPTP v9.2.1. Released v2.4.0.
% 0.00/0.12 % Command : /export/starexec/sandbox2/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox2/solver/bin/cse --final-prover /export/starexec/sandbox2/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.16/0.33 % Computer : n007.cluster.edu
% 0.16/0.33 % Model : x86_64 x86_64
% 0.16/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.33 % Memory : 8042.1875MB
% 0.16/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.33 % CPULimit : 300
% 0.16/0.33 % WCLimit : 300
% 0.16/0.33 % DateTime : Tue May 5 04:52:24 EDT 2026
% 0.16/0.33 % CPUTime :
% 0.16/0.34 % start to proof: theBenchmark
% 1.28/1.73 % Version : CSE_E---1.7
% 1.28/1.73 % Problem : theBenchmark.p
% 1.28/1.73 % SZS status Satisfiable for theBenchmark.p
% 1.28/1.73 % SZS output start Saturation
% See solution above
% 1.28/1.73 % Total time : 1.373s
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