%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : SWV012+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 : n010.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 02:53:29 PM UTC 2026
% Result : Satisfiable 0.16s 5.47s
% Output : Saturation 0.16s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named c_0_53ERROR: Could not build tree for root c_0_65ERROR: MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
cnf(c_0_27,plain,
( ~ t_holds(key(X7,X3))
| ~ t_holds(key(X6,X1))
| ~ message(sent(X1,t,triple(X1,X2,encrypt(triple(X3,X4,X5),X6))))
| message(sent(t,X3,triple(encrypt(quadruple(X1,X4,generate_key(X4),X5),X7),encrypt(triple(X3,generate_key(X4),X5),X6),X2))) ),
inference(split_conjunct,[status(thm)],[c_0_25]),
[final] ).
cnf(c_0_28,plain,
t_holds(key(at,a)),
inference(split_conjunct,[status(thm)],[t_holds_key_at_for_a]),
[final] ).
cnf(c_0_30,plain,
( ~ party_of_protocol(X3)
| ~ party_of_protocol(X2)
| ~ intruder_message(X1)
| message(sent(X2,X3,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_26]),
[final] ).
cnf(c_0_31,plain,
party_of_protocol(a),
inference(split_conjunct,[status(thm)],[a_is_party_of_protocol]),
[final] ).
cnf(c_0_33,plain,
( ~ message(sent(X1,t,triple(X1,X5,encrypt(triple(a,X2,X3),X4))))
| ~ t_holds(key(X4,X1))
| message(sent(t,a,triple(encrypt(quadruple(X1,X2,generate_key(X2),X3),at),encrypt(triple(a,generate_key(X2),X3),X4),X5))) ),
inference(spm,[status(thm)],[c_0_27,c_0_28]),
[final] ).
cnf(c_0_34,plain,
t_holds(key(bt,b)),
inference(split_conjunct,[status(thm)],[t_holds_key_bt_for_b]),
[final] ).
cnf(c_0_35,plain,
party_of_protocol(t),
inference(split_conjunct,[status(thm)],[t_is_party_of_protocol]),
[final] ).
cnf(c_0_37,plain,
( ~ a_stored(pair(X1,X5))
| ~ message(sent(t,a,triple(encrypt(quadruple(X1,X5,X4,X6),at),X2,X3)))
| message(sent(a,X1,pair(X2,encrypt(X3,X4)))) ),
inference(split_conjunct,[status(thm)],[c_0_29]),
[final] ).
cnf(c_0_38,plain,
a_stored(pair(b,an_a_nonce)),
inference(split_conjunct,[status(thm)],[a_stored_message_i]),
[final] ).
cnf(c_0_39,plain,
( ~ party_of_protocol(X1)
| ~ intruder_message(X2)
| message(sent(X1,a,X2)) ),
inference(spm,[status(thm)],[c_0_30,c_0_31]),
[final] ).
cnf(c_0_40,plain,
( ~ message(sent(X1,X2,X3))
| intruder_message(X3) ),
inference(split_conjunct,[status(thm)],[c_0_32]),
[final] ).
cnf(c_0_41,plain,
( ~ message(sent(b,t,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(spm,[status(thm)],[c_0_33,c_0_34]),
[final] ).
cnf(c_0_42,plain,
( ~ party_of_protocol(X1)
| ~ intruder_message(X2)
| message(sent(X1,t,X2)) ),
inference(spm,[status(thm)],[c_0_30,c_0_35]),
[final] ).
cnf(c_0_43,plain,
party_of_protocol(b),
inference(split_conjunct,[status(thm)],[b_is_party_of_protocol]),
[final] ).
cnf(c_0_44,plain,
( ~ fresh_to_b(X1)
| ~ message(sent(X2,b,pair(X2,X1)))
| message(sent(b,t,triple(b,generate_b_nonce(X1),encrypt(triple(X2,X1,generate_expiration_time(X1)),bt)))) ),
inference(split_conjunct,[status(thm)],[c_0_36]),
[final] ).
cnf(c_0_45,plain,
fresh_to_b(an_a_nonce),
inference(split_conjunct,[status(thm)],[nonce_a_is_fresh_to_b]),
[final] ).
cnf(c_0_46,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_37,c_0_38]),
[final] ).
cnf(c_0_47,plain,
( ~ intruder_message(X1)
| message(sent(t,a,X1)) ),
inference(spm,[status(thm)],[c_0_39,c_0_35]),
[final] ).
cnf(c_0_49,plain,
( ~ message(sent(b,t,triple(b,X3,encrypt(triple(a,X1,X2),bt))))
| intruder_message(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_40,c_0_41]),
[final] ).
cnf(c_0_50,plain,
( ~ intruder_message(X1)
| message(sent(b,t,X1)) ),
inference(spm,[status(thm)],[c_0_42,c_0_43]),
[final] ).
cnf(c_0_51,plain,
( ~ message(sent(X1,b,pair(X1,an_a_nonce)))
| message(sent(b,t,triple(b,generate_b_nonce(an_a_nonce),encrypt(triple(X1,an_a_nonce,generate_expiration_time(an_a_nonce)),bt)))) ),
inference(spm,[status(thm)],[c_0_44,c_0_45]),
[final] ).
cnf(c_0_52,plain,
( ~ message(sent(X1,t,triple(X1,X5,encrypt(triple(b,X2,X3),X4))))
| ~ t_holds(key(X4,X1))
| message(sent(t,b,triple(encrypt(quadruple(X1,X2,generate_key(X2),X3),bt),encrypt(triple(b,generate_key(X2),X3),X4),X5))) ),
inference(spm,[status(thm)],[c_0_27,c_0_34]),
[final] ).
cnf(c_0_55,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(spm,[status(thm)],[c_0_46,c_0_47]),
[final] ).
cnf(c_0_57,plain,
( ~ intruder_message(triple(X1,X2,X3))
| intruder_message(X1) ),
inference(split_conjunct,[status(thm)],[c_0_48]),
[final] ).
cnf(c_0_58,plain,
( ~ intruder_message(triple(b,X3,encrypt(triple(a,X1,X2),bt)))
| intruder_message(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_49,c_0_50]),
[final] ).
cnf(c_0_59,plain,
( ~ message(sent(X1,b,pair(X1,an_a_nonce)))
| intruder_message(triple(b,generate_b_nonce(an_a_nonce),encrypt(triple(X1,an_a_nonce,generate_expiration_time(an_a_nonce)),bt))) ),
inference(spm,[status(thm)],[c_0_40,c_0_51]),
[final] ).
cnf(c_0_60,plain,
message(sent(a,b,pair(a,an_a_nonce))),
inference(split_conjunct,[status(thm)],[a_sent_message_i_to_b]),
[final] ).
cnf(c_0_61,plain,
( ~ message(sent(a,t,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(spm,[status(thm)],[c_0_33,c_0_28]),
[final] ).
cnf(c_0_62,plain,
( ~ intruder_message(X1)
| message(sent(a,t,X1)) ),
inference(spm,[status(thm)],[c_0_42,c_0_31]),
[final] ).
cnf(c_0_63,plain,
( ~ message(sent(b,t,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(spm,[status(thm)],[c_0_52,c_0_34]),
[final] ).
cnf(c_0_64,plain,
( ~ message(sent(a,t,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(spm,[status(thm)],[c_0_52,c_0_28]),
[final] ).
cnf(c_0_65,plain,
( ~ party_of_protocol(X3)
| ~ intruder_holds(key(X2,X3))
| ~ intruder_message(X1)
| intruder_message(encrypt(X1,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_53]),
[final] ).
cnf(c_0_66,plain,
( ~ party_of_protocol(X2)
| ~ intruder_message(X1)
| intruder_holds(key(X1,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_54]),
[final] ).
cnf(c_0_67,plain,
( ~ intruder_message(triple(encrypt(quadruple(b,an_a_nonce,X3,X4),at),X1,X2))
| intruder_message(pair(X1,encrypt(X2,X3))) ),
inference(spm,[status(thm)],[c_0_40,c_0_55]),
[final] ).
cnf(c_0_68,plain,
( ~ intruder_message(X3)
| ~ intruder_message(X2)
| ~ intruder_message(X1)
| intruder_message(triple(X1,X2,X3)) ),
inference(split_conjunct,[status(thm)],[c_0_56]),
[final] ).
cnf(c_0_69,plain,
( ~ intruder_message(triple(b,X3,encrypt(triple(a,X1,X2),bt)))
| intruder_message(encrypt(quadruple(b,X1,generate_key(X1),X2),at)) ),
inference(spm,[status(thm)],[c_0_57,c_0_58]),
[final] ).
cnf(c_0_70,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_59,c_0_60]),
[final] ).
cnf(c_0_71,plain,
( ~ 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(spm,[status(thm)],[c_0_61,c_0_62]),
[final] ).
cnf(c_0_73,plain,
( ~ message(sent(b,t,triple(b,X3,encrypt(triple(b,X1,X2),bt))))
| intruder_message(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_40,c_0_63]),
[final] ).
cnf(c_0_74,plain,
( ~ 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(spm,[status(thm)],[c_0_64,c_0_62]),
[final] ).
cnf(c_0_76,plain,
( ~ intruder_message(X1)
| ~ intruder_message(X2)
| ~ intruder_message(encrypt(quadruple(b,an_a_nonce,X3,X4),at))
| intruder_message(pair(X1,encrypt(X2,X3))) ),
inference(spm,[status(thm)],[c_0_67,c_0_68]),
[final] ).
cnf(c_0_77,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_69,c_0_70]),
[final] ).
cnf(c_0_78,plain,
( ~ intruder_message(triple(X2,X1,X3))
| intruder_message(X1) ),
inference(split_conjunct,[status(thm)],[c_0_48]),
[final] ).
cnf(c_0_79,plain,
( ~ intruder_message(triple(a,X3,encrypt(triple(a,X1,X2),at)))
| intruder_message(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_40,c_0_71]),
[final] ).
cnf(c_0_80,plain,
( ~ intruder_message(pair(X1,X2))
| intruder_message(X1) ),
inference(split_conjunct,[status(thm)],[c_0_72]),
[final] ).
cnf(c_0_81,plain,
intruder_message(pair(a,an_a_nonce)),
inference(spm,[status(thm)],[c_0_40,c_0_60]),
[final] ).
cnf(c_0_82,plain,
( ~ party_of_protocol(X1)
| ~ intruder_message(X2)
| message(sent(X1,b,X2)) ),
inference(spm,[status(thm)],[c_0_30,c_0_43]),
[final] ).
cnf(c_0_83,plain,
( ~ intruder_message(triple(b,X3,encrypt(triple(b,X1,X2),bt)))
| intruder_message(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_73,c_0_50]),
[final] ).
cnf(c_0_84,plain,
( ~ intruder_message(triple(a,X3,encrypt(triple(b,X1,X2),at)))
| intruder_message(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_40,c_0_74]),
[final] ).
cnf(c_0_85,plain,
( ~ intruder_message(X2)
| ~ intruder_message(X1)
| intruder_message(encrypt(X1,X2)) ),
inference(spm,[status(thm)],[c_0_75,c_0_43]),
[final] ).
cnf(c_0_87,plain,
( ~ intruder_message(pair(X2,X1))
| intruder_message(X1) ),
inference(split_conjunct,[status(thm)],[c_0_72]),
[final] ).
cnf(c_0_88,plain,
intruder_message(b),
inference(spm,[status(thm)],[c_0_57,c_0_70]),
[final] ).
cnf(c_0_89,plain,
( ~ intruder_message(X1)
| ~ intruder_message(X2)
| intruder_message(pair(X1,encrypt(X2,generate_key(an_a_nonce)))) ),
inference(spm,[status(thm)],[c_0_76,c_0_77]),
[final] ).
cnf(c_0_90,plain,
( ~ intruder_message(triple(b,X3,encrypt(triple(a,X1,X2),bt)))
| intruder_message(encrypt(triple(a,generate_key(X1),X2),bt)) ),
inference(spm,[status(thm)],[c_0_78,c_0_58]),
[final] ).
cnf(c_0_91,plain,
( ~ intruder_message(triple(a,X3,encrypt(triple(a,X1,X2),at)))
| intruder_message(encrypt(quadruple(a,X1,generate_key(X1),X2),at)) ),
inference(spm,[status(thm)],[c_0_57,c_0_79]),
[final] ).
cnf(c_0_92,plain,
intruder_message(a),
inference(spm,[status(thm)],[c_0_80,c_0_81]),
[final] ).
cnf(c_0_93,plain,
( ~ intruder_message(triple(a,X3,encrypt(triple(a,X1,X2),at)))
| intruder_message(encrypt(triple(a,generate_key(X1),X2),at)) ),
inference(spm,[status(thm)],[c_0_78,c_0_79]),
[final] ).
cnf(c_0_94,plain,
( ~ intruder_message(X1)
| message(sent(b,b,X1)) ),
inference(spm,[status(thm)],[c_0_82,c_0_43]),
[final] ).
cnf(c_0_95,plain,
( ~ intruder_message(triple(b,X3,encrypt(triple(b,X1,X2),bt)))
| intruder_message(encrypt(quadruple(b,X1,generate_key(X1),X2),bt)) ),
inference(spm,[status(thm)],[c_0_57,c_0_83]),
[final] ).
cnf(c_0_96,plain,
( ~ intruder_message(triple(b,X3,encrypt(triple(b,X1,X2),bt)))
| intruder_message(encrypt(triple(b,generate_key(X1),X2),bt)) ),
inference(spm,[status(thm)],[c_0_78,c_0_83]),
[final] ).
cnf(c_0_97,plain,
( ~ intruder_message(triple(a,X3,encrypt(triple(b,X1,X2),at)))
| intruder_message(encrypt(quadruple(a,X1,generate_key(X1),X2),bt)) ),
inference(spm,[status(thm)],[c_0_57,c_0_84]),
[final] ).
cnf(c_0_98,plain,
( ~ intruder_message(triple(a,X3,encrypt(triple(b,X1,X2),at)))
| intruder_message(encrypt(triple(b,generate_key(X1),X2),at)) ),
inference(spm,[status(thm)],[c_0_78,c_0_84]),
[final] ).
cnf(c_0_99,plain,
( ~ intruder_message(X1)
| message(sent(t,b,X1)) ),
inference(spm,[status(thm)],[c_0_82,c_0_35]),
[final] ).
cnf(c_0_100,plain,
( ~ intruder_message(X1)
| ~ intruder_message(X2)
| ~ intruder_message(at)
| ~ intruder_message(quadruple(b,an_a_nonce,X3,X4))
| intruder_message(pair(X1,encrypt(X2,X3))) ),
inference(spm,[status(thm)],[c_0_76,c_0_85]),
[final] ).
cnf(c_0_101,plain,
( ~ intruder_message(X4)
| ~ intruder_message(X3)
| ~ intruder_message(X2)
| ~ intruder_message(X1)
| intruder_message(quadruple(X1,X2,X3,X4)) ),
inference(split_conjunct,[status(thm)],[c_0_86]),
[final] ).
cnf(c_0_102,plain,
intruder_message(an_a_nonce),
inference(spm,[status(thm)],[c_0_87,c_0_81]),
[final] ).
cnf(c_0_104,plain,
( ~ intruder_message(triple(b,X2,encrypt(triple(a,an_a_nonce,X1),bt)))
| intruder_message(pair(encrypt(triple(a,generate_key(an_a_nonce),X1),bt),encrypt(X2,generate_key(an_a_nonce)))) ),
inference(spm,[status(thm)],[c_0_67,c_0_58]),
[final] ).
cnf(c_0_105,plain,
( ~ message(sent(b,b,pair(b,an_a_nonce)))
| intruder_message(triple(encrypt(quadruple(b,an_a_nonce,generate_key(an_a_nonce),generate_expiration_time(an_a_nonce)),bt),encrypt(triple(b,generate_key(an_a_nonce),generate_expiration_time(an_a_nonce)),bt),generate_b_nonce(an_a_nonce))) ),
inference(spm,[status(thm)],[c_0_73,c_0_51]),
[final] ).
cnf(c_0_106,plain,
( ~ message(sent(b,t,triple(b,X2,encrypt(triple(a,an_a_nonce,X1),bt))))
| message(sent(a,b,pair(encrypt(triple(a,generate_key(an_a_nonce),X1),bt),encrypt(X2,generate_key(an_a_nonce))))) ),
inference(spm,[status(thm)],[c_0_46,c_0_41]),
[final] ).
cnf(c_0_108,plain,
intruder_message(generate_b_nonce(an_a_nonce)),
inference(spm,[status(thm)],[c_0_78,c_0_70]),
[final] ).
cnf(c_0_113,plain,
( ~ intruder_message(pair(b,an_a_nonce))
| intruder_message(triple(b,generate_b_nonce(an_a_nonce),encrypt(triple(b,an_a_nonce,generate_expiration_time(an_a_nonce)),bt))) ),
inference(spm,[status(thm)],[c_0_59,c_0_94]),
[final] ).
cnf(c_0_118,plain,
( ~ intruder_message(triple(X2,X3,X1))
| intruder_message(X1) ),
inference(split_conjunct,[status(thm)],[c_0_48]),
[final] ).
cnf(c_0_119,plain,
( ~ intruder_message(pair(t,an_a_nonce))
| intruder_message(triple(b,generate_b_nonce(an_a_nonce),encrypt(triple(t,an_a_nonce,generate_expiration_time(an_a_nonce)),bt))) ),
inference(spm,[status(thm)],[c_0_59,c_0_99]),
[final] ).
cnf(c_0_121,plain,
( ~ b_stored(pair(X1,X3))
| ~ message(sent(X1,b,pair(encrypt(triple(X1,X2,generate_expiration_time(X3)),bt),encrypt(generate_b_nonce(X3),X2))))
| b_holds(key(X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_103]),
[final] ).
cnf(c_0_122,plain,
( ~ fresh_to_b(X2)
| ~ message(sent(X1,b,pair(X1,X2)))
| b_stored(pair(X1,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_36]),
[final] ).
cnf(c_0_126,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_104,c_0_70]),
[final] ).
cnf(c_0_127,plain,
( ~ intruder_message(pair(b,an_a_nonce))
| intruder_message(triple(encrypt(quadruple(b,an_a_nonce,generate_key(an_a_nonce),generate_expiration_time(an_a_nonce)),bt),encrypt(triple(b,generate_key(an_a_nonce),generate_expiration_time(an_a_nonce)),bt),generate_b_nonce(an_a_nonce))) ),
inference(spm,[status(thm)],[c_0_105,c_0_94]),
[final] ).
cnf(c_0_128,plain,
( ~ message(sent(b,t,triple(b,X2,encrypt(triple(a,an_a_nonce,X1),bt))))
| intruder_message(pair(encrypt(triple(a,generate_key(an_a_nonce),X1),bt),encrypt(X2,generate_key(an_a_nonce)))) ),
inference(spm,[status(thm)],[c_0_40,c_0_106]),
[final] ).
cnf(c_0_129,plain,
( ~ intruder_message(X2)
| ~ intruder_message(encrypt(triple(a,an_a_nonce,X1),bt))
| intruder_message(pair(encrypt(triple(a,generate_key(an_a_nonce),X1),bt),encrypt(X2,generate_key(an_a_nonce)))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_104,c_0_68]),c_0_88])]),
[final] ).
cnf(c_0_130,plain,
( ~ intruder_message(encrypt(triple(a,X1,X2),bt))
| intruder_message(encrypt(quadruple(b,X1,generate_key(X1),X2),at)) ),
inference(spm,[status(thm)],[c_0_107,c_0_108]),
[final] ).
cnf(c_0_131,plain,
( ~ intruder_message(X1)
| intruder_message(encrypt(X1,generate_key(an_a_nonce))) ),
inference(spm,[status(thm)],[c_0_109,c_0_108]),
[final] ).
cnf(c_0_132,plain,
( ~ intruder_message(encrypt(triple(a,X1,X2),bt))
| intruder_message(encrypt(triple(a,generate_key(X1),X2),bt)) ),
inference(spm,[status(thm)],[c_0_110,c_0_108]),
[final] ).
cnf(c_0_133,plain,
( ~ intruder_message(encrypt(triple(a,X1,X2),at))
| intruder_message(encrypt(quadruple(a,X1,generate_key(X1),X2),at)) ),
inference(spm,[status(thm)],[c_0_111,c_0_108]),
[final] ).
cnf(c_0_134,plain,
( ~ intruder_message(encrypt(triple(a,X1,X2),at))
| intruder_message(encrypt(triple(a,generate_key(X1),X2),at)) ),
inference(spm,[status(thm)],[c_0_112,c_0_108]),
[final] ).
cnf(c_0_135,plain,
( ~ intruder_message(pair(b,an_a_nonce))
| intruder_message(encrypt(quadruple(b,an_a_nonce,generate_key(an_a_nonce),generate_expiration_time(an_a_nonce)),bt)) ),
inference(spm,[status(thm)],[c_0_95,c_0_113]),
[final] ).
cnf(c_0_136,plain,
( ~ intruder_message(encrypt(triple(b,X1,X2),bt))
| intruder_message(encrypt(quadruple(b,X1,generate_key(X1),X2),bt)) ),
inference(spm,[status(thm)],[c_0_114,c_0_108]),
[final] ).
cnf(c_0_137,plain,
( ~ intruder_message(encrypt(triple(b,X1,X2),bt))
| intruder_message(encrypt(triple(b,generate_key(X1),X2),bt)) ),
inference(spm,[status(thm)],[c_0_115,c_0_108]),
[final] ).
cnf(c_0_138,plain,
( ~ intruder_message(pair(b,an_a_nonce))
| intruder_message(encrypt(triple(b,generate_key(an_a_nonce),generate_expiration_time(an_a_nonce)),bt)) ),
inference(spm,[status(thm)],[c_0_96,c_0_113]),
[final] ).
cnf(c_0_139,plain,
( ~ intruder_message(encrypt(triple(b,X1,X2),at))
| intruder_message(encrypt(quadruple(a,X1,generate_key(X1),X2),bt)) ),
inference(spm,[status(thm)],[c_0_116,c_0_108]),
[final] ).
cnf(c_0_140,plain,
( ~ intruder_message(encrypt(triple(b,X1,X2),at))
| intruder_message(encrypt(triple(b,generate_key(X1),X2),at)) ),
inference(spm,[status(thm)],[c_0_117,c_0_108]),
[final] ).
cnf(c_0_141,plain,
( ~ intruder_message(pair(t,an_a_nonce))
| intruder_message(encrypt(triple(t,an_a_nonce,generate_expiration_time(an_a_nonce)),bt)) ),
inference(spm,[status(thm)],[c_0_118,c_0_119]),
[final] ).
cnf(c_0_142,plain,
( ~ intruder_message(pair(b,an_a_nonce))
| intruder_message(encrypt(triple(b,an_a_nonce,generate_expiration_time(an_a_nonce)),bt)) ),
inference(spm,[status(thm)],[c_0_118,c_0_113]),
[final] ).
cnf(c_0_143,plain,
( ~ intruder_message(X3)
| ~ intruder_message(X4)
| ~ intruder_message(X1)
| ~ intruder_message(X2)
| ~ intruder_message(at)
| intruder_message(pair(X1,encrypt(X2,X3))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_120,c_0_88])]),
[final] ).
cnf(c_0_144,plain,
( ~ intruder_message(X1)
| message(sent(t,t,X1)) ),
inference(spm,[status(thm)],[c_0_42,c_0_35]),
[final] ).
cnf(c_0_145,plain,
( ~ message(sent(X2,b,pair(X2,X3)))
| ~ message(sent(X2,b,pair(encrypt(triple(X2,X1,generate_expiration_time(X3)),bt),encrypt(generate_b_nonce(X3),X1))))
| ~ fresh_to_b(X3)
| b_holds(key(X1,X2)) ),
inference(spm,[status(thm)],[c_0_121,c_0_122]),
[final] ).
cnf(c_0_146,plain,
( ~ intruder_message(X1)
| message(sent(a,a,X1)) ),
inference(spm,[status(thm)],[c_0_39,c_0_31]),
[final] ).
cnf(c_0_147,plain,
( ~ intruder_message(X1)
| message(sent(b,a,X1)) ),
inference(spm,[status(thm)],[c_0_39,c_0_43]),
[final] ).
cnf(c_0_148,plain,
( ~ intruder_message(X1)
| message(sent(a,b,X1)) ),
inference(spm,[status(thm)],[c_0_82,c_0_31]),
[final] ).
cnf(c_0_149,plain,
( ~ a_stored(pair(X2,X3))
| ~ message(sent(t,a,triple(encrypt(quadruple(X2,X3,X1,X4),at),X5,X6)))
| a_holds(key(X1,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_29]),
[final] ).
cnf(c_0_150,plain,
( ~ party_of_protocol(X3)
| ~ intruder_holds(key(X2,X3))
| ~ intruder_message(encrypt(X1,X2))
| intruder_message(X2) ),
inference(split_conjunct,[status(thm)],[c_0_123]),
[final] ).
cnf(c_0_151,plain,
( ~ intruder_message(quadruple(X1,X2,X3,X4))
| intruder_message(X1) ),
inference(split_conjunct,[status(thm)],[c_0_124]),
[final] ).
cnf(c_0_152,plain,
( ~ intruder_message(X2)
| ~ intruder_message(X1)
| intruder_message(pair(X1,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_125]),
[final] ).
cnf(c_0_153,plain,
( ~ intruder_message(quadruple(X2,X1,X3,X4))
| intruder_message(X1) ),
inference(split_conjunct,[status(thm)],[c_0_124]),
[final] ).
cnf(c_0_154,plain,
( ~ intruder_message(quadruple(X2,X3,X1,X4))
| intruder_message(X1) ),
inference(split_conjunct,[status(thm)],[c_0_124]),
[final] ).
cnf(c_0_155,plain,
( ~ intruder_message(quadruple(X2,X3,X4,X1))
| intruder_message(X1) ),
inference(split_conjunct,[status(thm)],[c_0_124]),
[final] ).
cnf(c_0_156,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(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_51]),c_0_60])]),
[final] ).
cnf(c_0_157,plain,
intruder_message(encrypt(generate_b_nonce(an_a_nonce),generate_key(an_a_nonce))),
inference(spm,[status(thm)],[c_0_87,c_0_126]),
[final] ).
cnf(c_0_158,plain,
intruder_message(encrypt(triple(a,generate_key(an_a_nonce),generate_expiration_time(an_a_nonce)),bt)),
inference(spm,[status(thm)],[c_0_90,c_0_70]),
[final] ).
cnf(c_0_159,plain,
intruder_message(encrypt(triple(a,an_a_nonce,generate_expiration_time(an_a_nonce)),bt)),
inference(spm,[status(thm)],[c_0_118,c_0_70]),
[final] ).
cnf(c_0_160,plain,
b_holds(key(bt,t)),
inference(split_conjunct,[status(thm)],[b_hold_key_bt_for_t]),
[final] ).
cnf(c_0_161,plain,
a_holds(key(at,t)),
inference(split_conjunct,[status(thm)],[a_holds_key_at_for_t]),
[final] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV012+1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/5.39 % Computer : n010.cluster.edu
% 0.12/5.39 % Model : x86_64 x86_64
% 0.12/5.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/5.39 % Memory : 8046.5625MB
% 0.12/5.39 % OS : Linux 6.8.0-71-generic
% 0.12/5.39 % CPULimit : 300
% 0.12/5.39 % WCLimit : 300
% 0.12/5.39 % DateTime : Mon Sep 21 08:27:31 UTC 2026
% 0.12/5.39 % CPUTime :
% 0.12/5.39 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.16/5.43 Running first-order theorem proving
% 0.16/5.43 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
% 0.16/5.47 % Version: 3.5.1
% 0.16/5.47 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.16/5.47 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.16/5.47 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.16/5.47 % Starting new_bool_3 with 300s (1) cores
% 0.16/5.47 % Starting new_bool_1 with 300s (1) cores
% 0.16/5.47 % Starting sh5l with 300s (1) cores
% 0.16/5.47 % sh5l with pid 475976 completed with status 9
% 0.16/5.47 % G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 475973 completed with status 1
% 0.16/5.47 % Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 0.16/5.47 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.16/5.47 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.16/5.47 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.16/5.47 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.16/5.47 % No SInE strategy applied
% 0.16/5.47 % Search class: FHUNF-FFMM32-MFFFFFNN
% 0.16/5.47 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.16/5.47 % Starting SubtermCWHack with 136s (1) cores
% 0.16/5.47 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 0.16/5.47 % Starting G-E--_107_B42_F1_PI_SE_Q4_CS_SP_PS_S0YI with 136s (1) cores
% 0.16/5.47 % Starting new_bool_3 with 136s (1) cores
% 0.16/5.47 % Starting new_bool_1 with 136s (1) cores
% 0.16/5.47 % G-E--_107_B42_F1_PI_SE_Q4_CS_SP_PS_S0YI with pid 475982 completed with status 1
% 0.16/5.47 % Result found by G-E--_107_B42_F1_PI_SE_Q4_CS_SP_PS_S0YI
% 0.16/5.47 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.16/5.47 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.16/5.47 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.16/5.47 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.16/5.47 % No SInE strategy applied
% 0.16/5.47 % Search class: FHUNF-FFMM32-MFFFFFNN
% 0.16/5.47 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.16/5.47 % Starting SubtermCWHack with 136s (1) cores
% 0.16/5.47 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 0.16/5.47 % Starting G-E--_107_B42_F1_PI_SE_Q4_CS_SP_PS_S0YI with 136s (1) cores
% 0.16/5.47 % Preprocessing time : 0.002 s
% 0.16/5.47 % Presaturation interreduction done
% 0.16/5.47
% 0.16/5.47 % No proof found!
% 0.16/5.47 % SZS status Satisfiable
% 0.16/5.47 % SZS output start Saturation
% See solution above
% 0.16/5.47 % Parsed axioms : 25
% 0.16/5.47 % Removed by relevancy pruning/SinE : 0
% 0.16/5.47 % Initial clauses : 33
% 0.16/5.47 % Removed in clause preprocessing : 0
% 0.16/5.47 % Initial clauses in saturation : 33
% 0.16/5.47 % Processed clauses : 166
% 0.16/5.47 % ...of these trivial : 1
% 0.16/5.47 % ...subsumed : 10
% 0.16/5.47 % ...remaining for further processing : 155
% 0.16/5.47 % Other redundant clauses eliminated : 0
% 0.16/5.47 % Clauses deleted for lack of memory : 0
% 0.16/5.47 % Backward-subsumed : 10
% 0.16/5.47 % Backward-rewritten : 1
% 0.16/5.47 % Generated clauses : 337
% 0.16/5.47 % ...of the previous two non-redundant : 307
% 0.16/5.47 % ...aggressively subsumed : 0
% 0.16/5.47 % Contextual simplify-reflections : 0
% 0.16/5.47 % Paramodulations : 337
% 0.16/5.47 % Factorizations : 0
% 0.16/5.47 % NegExts : 0
% 0.16/5.47 % Equation resolutions : 0
% 0.16/5.47 % Disequality decompositions : 0
% 0.16/5.47 % Total rewrite steps : 26
% 0.16/5.47 % ...of those cached : 16
% 0.16/5.47 % Propositional unsat checks : 0
% 0.16/5.47 % Propositional check models : 0
% 0.16/5.47 % Propositional check unsatisfiable : 0
% 0.16/5.47 % Propositional clauses : 0
% 0.16/5.47 % Propositional clauses after purity: 0
% 0.16/5.47 % Propositional unsat core size : 0
% 0.16/5.47 % Propositional preprocessing time : 0.000
% 0.16/5.47 % Propositional encoding time : 0.000
% 0.16/5.47 % Propositional solver time : 0.000
% 0.16/5.47 % Success case prop preproc time : 0.000
% 0.16/5.47 % Success case prop encoding time : 0.000
% 0.16/5.47 % Success case prop solver time : 0.000
% 0.16/5.47 % Current number of processed clauses : 111
% 0.16/5.47 % Positive orientable unit clauses : 22
% 0.16/5.47 % Positive unorientable unit clauses: 0
% 0.16/5.47 % Negative unit clauses : 0
% 0.16/5.47 % Non-unit-clauses : 89
% 0.16/5.47 % Current number of unprocessed clauses: 0
% 0.16/5.47 % ...number of literals in the above : 0
% 0.16/5.47 % Current number of archived formulas : 0
% 0.16/5.47 % Current number of archived clauses : 44
% 0.16/5.47 % Clause-clause subsumption calls (NU) : 1400
% 0.16/5.47 % Rec. Clause-clause subsumption calls : 1131
% 0.16/5.47 % Non-unit clause-clause subsumptions : 20
% 0.16/5.47 % Unit Clause-clause subsumption calls : 35
% 0.16/5.47 % Rewrite failures with RHS unbound : 0
% 0.16/5.47 % BW rewrite match attempts : 18
% 0.16/5.47 % BW rewrite match successes : 1
% 0.16/5.47 % Condensation attempts : 0
% 0.16/5.47 % Condensation successes : 0
% 0.16/5.47 % Termbank termtop insertions : 9538
% 0.16/5.47 % Search garbage collected termcells : 356
% 0.16/5.47
% 0.16/5.47 % -------------------------------------------------
% 0.16/5.47 % User time : 0.018 s
% 0.16/5.47 % System time : 0.003 s
% 0.16/5.47 % Total time : 0.021 s
% 0.16/5.47 % Maximum resident set size: 3412 pages
% 0.16/5.47
% 0.16/5.47 % -------------------------------------------------
% 0.16/5.47 % User time : 0.092 s
% 0.16/5.47 % System time : 0.024 s
% 0.16/5.47 % Total time : 0.116 s
% 0.16/5.47 % Maximum resident set size: 4608 pages
% 0.16/5.47 % E exiting
%------------------------------------------------------------------------------