TSTP Solution File: SWV012+1 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : SWV012+1 : TPTP v8.1.0. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n027.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  : 600s
% DateTime : Wed Jul 20 17:45:18 EDT 2022

% Result   : Satisfiable 7.56s 2.32s
% Output   : Saturation 7.56s
% Verified : 
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_31,plain,
    ( message(sent(X1,X2,X3))
    | ~ party_of_protocol(X2)
    | ~ party_of_protocol(X1)
    | ~ intruder_message(X3) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-k0iaraoh/input.p',i_0_31) ).

cnf(i_0_15,plain,
    party_of_protocol(t),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-k0iaraoh/input.p',i_0_15) ).

cnf(i_0_16,plain,
    ( message(sent(t,X1,triple(encrypt(quadruple(X2,X3,generate_key(X3),X4),X5),encrypt(triple(X1,generate_key(X3),X4),X6),X7)))
    | ~ t_holds(key(X5,X1))
    | ~ t_holds(key(X6,X2))
    | ~ message(sent(X2,t,triple(X2,X7,encrypt(triple(X1,X3,X4),X6)))) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-k0iaraoh/input.p',i_0_16) ).

cnf(i_0_14,plain,
    t_holds(key(bt,b)),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-k0iaraoh/input.p',i_0_14) ).

cnf(i_0_13,plain,
    t_holds(key(at,a)),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-k0iaraoh/input.p',i_0_13) ).

cnf(i_0_6,plain,
    ( 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/tmp/enigma-theBenchmark.p-k0iaraoh/input.p',i_0_6) ).

cnf(i_0_4,plain,
    a_stored(pair(b,an_a_nonce)),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-k0iaraoh/input.p',i_0_4) ).

cnf(i_0_2,plain,
    party_of_protocol(a),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-k0iaraoh/input.p',i_0_2) ).

cnf(i_0_11,plain,
    ( 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/tmp/enigma-theBenchmark.p-k0iaraoh/input.p',i_0_11) ).

cnf(i_0_9,plain,
    fresh_to_b(an_a_nonce),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-k0iaraoh/input.p',i_0_9) ).

cnf(i_0_8,plain,
    party_of_protocol(b),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-k0iaraoh/input.p',i_0_8) ).

cnf(i_0_17,plain,
    ( intruder_message(X1)
    | ~ message(sent(X2,X3,X1)) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-k0iaraoh/input.p',i_0_17) ).

cnf(i_0_3,plain,
    message(sent(a,b,pair(a,an_a_nonce))),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-k0iaraoh/input.p',i_0_3) ).

cnf(i_0_33,plain,
    ( intruder_message(encrypt(X1,X2))
    | ~ party_of_protocol(X3)
    | ~ intruder_message(X1)
    | ~ intruder_holds(key(X2,X3)) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-k0iaraoh/input.p',i_0_33) ).

cnf(i_0_32,plain,
    ( intruder_holds(key(X1,X2))
    | ~ party_of_protocol(X2)
    | ~ intruder_message(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-k0iaraoh/input.p',i_0_32) ).

cnf(i_0_28,plain,
    ( intruder_message(triple(X1,X2,X3))
    | ~ intruder_message(X3)
    | ~ intruder_message(X2)
    | ~ intruder_message(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-k0iaraoh/input.p',i_0_28) ).

cnf(i_0_22,plain,
    ( intruder_message(X1)
    | ~ intruder_message(triple(X1,X2,X3)) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-k0iaraoh/input.p',i_0_22) ).

cnf(i_0_19,plain,
    ( intruder_message(X1)
    | ~ intruder_message(pair(X1,X2)) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-k0iaraoh/input.p',i_0_19) ).

cnf(i_0_21,plain,
    ( intruder_message(X1)
    | ~ intruder_message(triple(X2,X1,X3)) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-k0iaraoh/input.p',i_0_21) ).

cnf(i_0_18,plain,
    ( intruder_message(X1)
    | ~ intruder_message(pair(X2,X1)) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-k0iaraoh/input.p',i_0_18) ).

cnf(i_0_29,plain,
    ( intruder_message(quadruple(X1,X2,X3,X4))
    | ~ intruder_message(X4)
    | ~ intruder_message(X3)
    | ~ intruder_message(X2)
    | ~ intruder_message(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-k0iaraoh/input.p',i_0_29) ).

cnf(i_0_20,plain,
    ( intruder_message(X1)
    | ~ intruder_message(triple(X2,X3,X1)) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-k0iaraoh/input.p',i_0_20) ).

cnf(i_0_12,plain,
    ( b_holds(key(X1,X2))
    | ~ b_stored(pair(X2,X3))
    | ~ message(sent(X2,b,pair(encrypt(triple(X2,X1,generate_expiration_time(X3)),bt),encrypt(generate_b_nonce(X3),X1)))) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-k0iaraoh/input.p',i_0_12) ).

cnf(i_0_10,plain,
    ( b_stored(pair(X1,X2))
    | ~ fresh_to_b(X2)
    | ~ message(sent(X1,b,pair(X1,X2))) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-k0iaraoh/input.p',i_0_10) ).

cnf(i_0_5,plain,
    ( a_holds(key(X1,X2))
    | ~ a_stored(pair(X2,X3))
    | ~ message(sent(t,a,triple(encrypt(quadruple(X2,X3,X1,X4),at),X5,X6))) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-k0iaraoh/input.p',i_0_5) ).

cnf(i_0_30,plain,
    ( intruder_message(X1)
    | ~ party_of_protocol(X2)
    | ~ intruder_message(encrypt(X3,X1))
    | ~ intruder_holds(key(X1,X2)) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-k0iaraoh/input.p',i_0_30) ).

cnf(i_0_27,plain,
    ( intruder_message(pair(X1,X2))
    | ~ intruder_message(X2)
    | ~ intruder_message(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-k0iaraoh/input.p',i_0_27) ).

cnf(i_0_26,plain,
    ( intruder_message(X1)
    | ~ intruder_message(quadruple(X1,X2,X3,X4)) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-k0iaraoh/input.p',i_0_26) ).

cnf(i_0_25,plain,
    ( intruder_message(X1)
    | ~ intruder_message(quadruple(X2,X1,X3,X4)) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-k0iaraoh/input.p',i_0_25) ).

cnf(i_0_24,plain,
    ( intruder_message(X1)
    | ~ intruder_message(quadruple(X2,X3,X1,X4)) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-k0iaraoh/input.p',i_0_24) ).

cnf(i_0_23,plain,
    ( intruder_message(X1)
    | ~ intruder_message(quadruple(X2,X3,X4,X1)) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-k0iaraoh/input.p',i_0_23) ).

cnf(i_0_7,plain,
    b_holds(key(bt,t)),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-k0iaraoh/input.p',i_0_7) ).

cnf(i_0_1,plain,
    a_holds(key(at,t)),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-k0iaraoh/input.p',i_0_1) ).

cnf(c_0_67,plain,
    ( message(sent(X1,X2,X3))
    | ~ party_of_protocol(X2)
    | ~ party_of_protocol(X1)
    | ~ intruder_message(X3) ),
    i_0_31,
    [final] ).

cnf(c_0_68,plain,
    party_of_protocol(t),
    i_0_15,
    [final] ).

cnf(c_0_69,plain,
    ( message(sent(t,X1,triple(encrypt(quadruple(X2,X3,generate_key(X3),X4),X5),encrypt(triple(X1,generate_key(X3),X4),X6),X7)))
    | ~ t_holds(key(X5,X1))
    | ~ t_holds(key(X6,X2))
    | ~ message(sent(X2,t,triple(X2,X7,encrypt(triple(X1,X3,X4),X6)))) ),
    i_0_16,
    [final] ).

cnf(c_0_70,plain,
    t_holds(key(bt,b)),
    i_0_14,
    [final] ).

cnf(c_0_71,plain,
    t_holds(key(at,a)),
    i_0_13,
    [final] ).

cnf(c_0_72,plain,
    ( 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))) ),
    i_0_6,
    [final] ).

cnf(c_0_73,plain,
    a_stored(pair(b,an_a_nonce)),
    i_0_4,
    [final] ).

cnf(c_0_74,plain,
    ( message(sent(t,X1,X2))
    | ~ intruder_message(X2)
    | ~ party_of_protocol(X1) ),
    inference(spm,[status(thm)],[c_0_67,c_0_68]),
    [final] ).

cnf(c_0_75,plain,
    party_of_protocol(a),
    i_0_2,
    [final] ).

cnf(c_0_76,plain,
    ( message(sent(t,X1,triple(encrypt(quadruple(b,X2,generate_key(X2),X3),X4),encrypt(triple(X1,generate_key(X2),X3),bt),X5)))
    | ~ message(sent(b,t,triple(b,X5,encrypt(triple(X1,X2,X3),bt))))
    | ~ t_holds(key(X4,X1)) ),
    inference(spm,[status(thm)],[c_0_69,c_0_70]),
    [final] ).

cnf(c_0_77,plain,
    ( 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))) ),
    i_0_11,
    [final] ).

cnf(c_0_78,plain,
    fresh_to_b(an_a_nonce),
    i_0_9,
    [final] ).

cnf(c_0_79,plain,
    ( message(sent(t,X1,triple(encrypt(quadruple(a,X2,generate_key(X2),X3),X4),encrypt(triple(X1,generate_key(X2),X3),at),X5)))
    | ~ message(sent(a,t,triple(a,X5,encrypt(triple(X1,X2,X3),at))))
    | ~ t_holds(key(X4,X1)) ),
    inference(spm,[status(thm)],[c_0_69,c_0_71]),
    [final] ).

cnf(c_0_80,plain,
    party_of_protocol(b),
    i_0_8,
    [final] ).

cnf(c_0_81,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_72,c_0_73]),
    [final] ).

cnf(c_0_82,plain,
    ( message(sent(t,a,X1))
    | ~ intruder_message(X1) ),
    inference(spm,[status(thm)],[c_0_74,c_0_75]),
    [final] ).

cnf(c_0_83,plain,
    ( intruder_message(X1)
    | ~ message(sent(X2,X3,X1)) ),
    i_0_17,
    [final] ).

cnf(c_0_84,plain,
    ( message(sent(t,a,triple(encrypt(quadruple(b,X1,generate_key(X1),X2),at),encrypt(triple(a,generate_key(X1),X2),bt),X3)))
    | ~ message(sent(b,t,triple(b,X3,encrypt(triple(a,X1,X2),bt)))) ),
    inference(spm,[status(thm)],[c_0_76,c_0_71]),
    [final] ).

cnf(c_0_85,plain,
    ( 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))))
    | ~ message(sent(X1,b,pair(X1,an_a_nonce))) ),
    inference(spm,[status(thm)],[c_0_77,c_0_78]),
    [final] ).

cnf(c_0_86,plain,
    message(sent(a,b,pair(a,an_a_nonce))),
    i_0_3,
    [final] ).

cnf(c_0_87,plain,
    ( message(sent(t,a,triple(encrypt(quadruple(a,X1,generate_key(X1),X2),at),encrypt(triple(a,generate_key(X1),X2),at),X3)))
    | ~ message(sent(a,t,triple(a,X3,encrypt(triple(a,X1,X2),at)))) ),
    inference(spm,[status(thm)],[c_0_79,c_0_71]),
    [final] ).

cnf(c_0_88,plain,
    ( message(sent(a,X1,X2))
    | ~ intruder_message(X2)
    | ~ party_of_protocol(X1) ),
    inference(spm,[status(thm)],[c_0_67,c_0_75]),
    [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)))
    | ~ message(sent(a,t,triple(a,X3,encrypt(triple(b,X1,X2),at)))) ),
    inference(spm,[status(thm)],[c_0_79,c_0_70]),
    [final] ).

cnf(c_0_90,plain,
    ( message(sent(b,X1,X2))
    | ~ intruder_message(X2)
    | ~ party_of_protocol(X1) ),
    inference(spm,[status(thm)],[c_0_67,c_0_80]),
    [final] ).

cnf(c_0_91,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(spm,[status(thm)],[c_0_81,c_0_82]),
    [final] ).

cnf(c_0_92,plain,
    ( intruder_message(triple(encrypt(quadruple(b,X1,generate_key(X1),X2),at),encrypt(triple(a,generate_key(X1),X2),bt),X3))
    | ~ message(sent(b,t,triple(b,X3,encrypt(triple(a,X1,X2),bt)))) ),
    inference(spm,[status(thm)],[c_0_83,c_0_84]),
    [final] ).

cnf(c_0_93,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(spm,[status(thm)],[c_0_85,c_0_86]),
    [final] ).

cnf(c_0_94,plain,
    ( message(sent(t,b,triple(encrypt(quadruple(b,X1,generate_key(X1),X2),bt),encrypt(triple(b,generate_key(X1),X2),bt),X3)))
    | ~ message(sent(b,t,triple(b,X3,encrypt(triple(b,X1,X2),bt)))) ),
    inference(spm,[status(thm)],[c_0_76,c_0_70]),
    [final] ).

cnf(c_0_95,plain,
    ( intruder_message(encrypt(X1,X2))
    | ~ party_of_protocol(X3)
    | ~ intruder_message(X1)
    | ~ intruder_holds(key(X2,X3)) ),
    i_0_33,
    [final] ).

cnf(c_0_96,plain,
    ( intruder_holds(key(X1,X2))
    | ~ party_of_protocol(X2)
    | ~ intruder_message(X1) ),
    i_0_32,
    [final] ).

cnf(c_0_97,plain,
    ( intruder_message(triple(encrypt(quadruple(a,X1,generate_key(X1),X2),at),encrypt(triple(a,generate_key(X1),X2),at),X3))
    | ~ message(sent(a,t,triple(a,X3,encrypt(triple(a,X1,X2),at)))) ),
    inference(spm,[status(thm)],[c_0_83,c_0_87]),
    [final] ).

cnf(c_0_98,plain,
    ( message(sent(a,t,X1))
    | ~ intruder_message(X1) ),
    inference(spm,[status(thm)],[c_0_88,c_0_68]),
    [final] ).

cnf(c_0_99,plain,
    ( intruder_message(triple(encrypt(quadruple(a,X1,generate_key(X1),X2),bt),encrypt(triple(b,generate_key(X1),X2),at),X3))
    | ~ message(sent(a,t,triple(a,X3,encrypt(triple(b,X1,X2),at)))) ),
    inference(spm,[status(thm)],[c_0_83,c_0_89]),
    [final] ).

cnf(c_0_100,plain,
    ( message(sent(b,t,X1))
    | ~ intruder_message(X1) ),
    inference(spm,[status(thm)],[c_0_90,c_0_68]),
    [final] ).

cnf(c_0_101,plain,
    ( intruder_message(pair(X1,encrypt(X2,X3)))
    | ~ intruder_message(triple(encrypt(quadruple(b,an_a_nonce,X3,X4),at),X1,X2)) ),
    inference(spm,[status(thm)],[c_0_83,c_0_91]),
    [final] ).

cnf(c_0_102,plain,
    ( intruder_message(triple(X1,X2,X3))
    | ~ intruder_message(X3)
    | ~ intruder_message(X2)
    | ~ intruder_message(X1) ),
    i_0_28,
    [final] ).

cnf(c_0_103,plain,
    ( intruder_message(X1)
    | ~ intruder_message(triple(X1,X2,X3)) ),
    i_0_22,
    [final] ).

cnf(c_0_104,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_92,c_0_93]),
    [final] ).

cnf(c_0_105,plain,
    ( intruder_message(triple(encrypt(quadruple(b,X1,generate_key(X1),X2),bt),encrypt(triple(b,generate_key(X1),X2),bt),X3))
    | ~ message(sent(b,t,triple(b,X3,encrypt(triple(b,X1,X2),bt)))) ),
    inference(spm,[status(thm)],[c_0_83,c_0_94]),
    [final] ).

cnf(c_0_106,plain,
    ( intruder_message(encrypt(X1,X2))
    | ~ intruder_message(X1)
    | ~ intruder_message(X2)
    | ~ party_of_protocol(X3) ),
    inference(spm,[status(thm)],[c_0_95,c_0_96]) ).

cnf(c_0_107,plain,
    ( intruder_message(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))) ),
    inference(spm,[status(thm)],[c_0_97,c_0_98]),
    [final] ).

cnf(c_0_108,plain,
    ( intruder_message(X1)
    | ~ intruder_message(pair(X1,X2)) ),
    i_0_19,
    [final] ).

cnf(c_0_109,plain,
    intruder_message(pair(a,an_a_nonce)),
    inference(spm,[status(thm)],[c_0_83,c_0_86]),
    [final] ).

cnf(c_0_110,plain,
    ( intruder_message(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))) ),
    inference(spm,[status(thm)],[c_0_99,c_0_98]),
    [final] ).

cnf(c_0_111,plain,
    ( intruder_message(X1)
    | ~ intruder_message(triple(X2,X1,X3)) ),
    i_0_21,
    [final] ).

cnf(c_0_112,plain,
    ( intruder_message(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))) ),
    inference(spm,[status(thm)],[c_0_92,c_0_100]),
    [final] ).

cnf(c_0_113,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_83,c_0_93]),
    [final] ).

cnf(c_0_114,plain,
    ( message(sent(a,b,pair(encrypt(triple(a,generate_key(an_a_nonce),X1),bt),encrypt(X2,generate_key(an_a_nonce)))))
    | ~ message(sent(b,t,triple(b,X2,encrypt(triple(a,an_a_nonce,X1),bt)))) ),
    inference(spm,[status(thm)],[c_0_81,c_0_84]),
    [final] ).

cnf(c_0_115,plain,
    ( intruder_message(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_101,c_0_102]),
    [final] ).

cnf(c_0_116,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_103,c_0_104]),
    [final] ).

cnf(c_0_117,plain,
    ( message(sent(b,b,X1))
    | ~ intruder_message(X1) ),
    inference(spm,[status(thm)],[c_0_90,c_0_80]),
    [final] ).

cnf(c_0_118,plain,
    ( intruder_message(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))) ),
    inference(spm,[status(thm)],[c_0_105,c_0_100]),
    [final] ).

cnf(c_0_119,plain,
    ( message(sent(t,b,X1))
    | ~ intruder_message(X1) ),
    inference(spm,[status(thm)],[c_0_74,c_0_80]),
    [final] ).

cnf(c_0_120,plain,
    ( intruder_message(encrypt(X1,X2))
    | ~ intruder_message(X1)
    | ~ intruder_message(X2) ),
    inference(spm,[status(thm)],[c_0_106,c_0_80]),
    [final] ).

cnf(c_0_121,plain,
    ( intruder_message(X1)
    | ~ intruder_message(pair(X2,X1)) ),
    i_0_18,
    [final] ).

cnf(c_0_122,plain,
    ( intruder_message(encrypt(quadruple(a,X1,generate_key(X1),X2),at))
    | ~ intruder_message(triple(a,X3,encrypt(triple(a,X1,X2),at))) ),
    inference(spm,[status(thm)],[c_0_103,c_0_107]),
    [final] ).

cnf(c_0_123,plain,
    intruder_message(a),
    inference(spm,[status(thm)],[c_0_108,c_0_109]),
    [final] ).

cnf(c_0_124,plain,
    ( intruder_message(encrypt(quadruple(a,X1,generate_key(X1),X2),bt))
    | ~ intruder_message(triple(a,X3,encrypt(triple(b,X1,X2),at))) ),
    inference(spm,[status(thm)],[c_0_103,c_0_110]),
    [final] ).

cnf(c_0_125,plain,
    ( intruder_message(encrypt(triple(a,generate_key(X1),X2),at))
    | ~ intruder_message(triple(a,X3,encrypt(triple(a,X1,X2),at))) ),
    inference(spm,[status(thm)],[c_0_111,c_0_107]),
    [final] ).

cnf(c_0_126,plain,
    ( intruder_message(encrypt(quadruple(b,X1,generate_key(X1),X2),at))
    | ~ intruder_message(triple(b,X3,encrypt(triple(a,X1,X2),bt))) ),
    inference(spm,[status(thm)],[c_0_103,c_0_112]),
    [final] ).

cnf(c_0_127,plain,
    intruder_message(b),
    inference(spm,[status(thm)],[c_0_103,c_0_113]),
    [final] ).

cnf(c_0_128,plain,
    ( intruder_message(encrypt(triple(b,generate_key(X1),X2),at))
    | ~ intruder_message(triple(a,X3,encrypt(triple(b,X1,X2),at))) ),
    inference(spm,[status(thm)],[c_0_111,c_0_110]),
    [final] ).

cnf(c_0_129,plain,
    ( intruder_message(encrypt(triple(a,generate_key(X1),X2),bt))
    | ~ intruder_message(triple(b,X3,encrypt(triple(a,X1,X2),bt))) ),
    inference(spm,[status(thm)],[c_0_111,c_0_112]),
    [final] ).

cnf(c_0_130,plain,
    ( intruder_message(pair(encrypt(triple(a,generate_key(an_a_nonce),X1),bt),encrypt(X2,generate_key(an_a_nonce))))
    | ~ message(sent(b,t,triple(b,X2,encrypt(triple(a,an_a_nonce,X1),bt)))) ),
    inference(spm,[status(thm)],[c_0_83,c_0_114]),
    [final] ).

cnf(c_0_131,plain,
    ( intruder_message(pair(X1,encrypt(X2,generate_key(an_a_nonce))))
    | ~ intruder_message(X2)
    | ~ intruder_message(X1) ),
    inference(spm,[status(thm)],[c_0_115,c_0_116]),
    [final] ).

cnf(c_0_132,plain,
    ( message(sent(b,t,triple(b,generate_b_nonce(an_a_nonce),encrypt(triple(b,an_a_nonce,generate_expiration_time(an_a_nonce)),bt))))
    | ~ intruder_message(pair(b,an_a_nonce)) ),
    inference(spm,[status(thm)],[c_0_85,c_0_117]),
    [final] ).

cnf(c_0_133,plain,
    ( intruder_message(encrypt(quadruple(b,X1,generate_key(X1),X2),bt))
    | ~ intruder_message(triple(b,X3,encrypt(triple(b,X1,X2),bt))) ),
    inference(spm,[status(thm)],[c_0_103,c_0_118]),
    [final] ).

cnf(c_0_134,plain,
    ( intruder_message(encrypt(triple(b,generate_key(X1),X2),bt))
    | ~ intruder_message(triple(b,X3,encrypt(triple(b,X1,X2),bt))) ),
    inference(spm,[status(thm)],[c_0_111,c_0_118]),
    [final] ).

cnf(c_0_135,plain,
    ( message(sent(b,t,triple(b,generate_b_nonce(an_a_nonce),encrypt(triple(t,an_a_nonce,generate_expiration_time(an_a_nonce)),bt))))
    | ~ intruder_message(pair(t,an_a_nonce)) ),
    inference(spm,[status(thm)],[c_0_85,c_0_119]),
    [final] ).

cnf(c_0_136,plain,
    ( intruder_message(pair(X1,encrypt(X2,X3)))
    | ~ intruder_message(quadruple(b,an_a_nonce,X3,X4))
    | ~ intruder_message(at)
    | ~ intruder_message(X2)
    | ~ intruder_message(X1) ),
    inference(spm,[status(thm)],[c_0_115,c_0_120]),
    [final] ).

cnf(c_0_137,plain,
    ( intruder_message(quadruple(X1,X2,X3,X4))
    | ~ intruder_message(X4)
    | ~ intruder_message(X3)
    | ~ intruder_message(X2)
    | ~ intruder_message(X1) ),
    i_0_29,
    [final] ).

cnf(c_0_138,plain,
    intruder_message(an_a_nonce),
    inference(spm,[status(thm)],[c_0_121,c_0_109]),
    [final] ).

cnf(c_0_139,plain,
    ( intruder_message(encrypt(quadruple(a,X1,generate_key(X1),X2),at))
    | ~ intruder_message(encrypt(triple(a,X1,X2),at))
    | ~ intruder_message(X3) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_122,c_0_102]),c_0_123])]) ).

cnf(c_0_140,plain,
    ( intruder_message(encrypt(quadruple(a,X1,generate_key(X1),X2),bt))
    | ~ intruder_message(encrypt(triple(b,X1,X2),at))
    | ~ intruder_message(X3) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_124,c_0_102]),c_0_123])]) ).

cnf(c_0_141,plain,
    ( intruder_message(encrypt(triple(a,generate_key(X1),X2),at))
    | ~ intruder_message(encrypt(triple(a,X1,X2),at))
    | ~ intruder_message(X3) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_125,c_0_102]),c_0_123])]) ).

cnf(c_0_142,plain,
    ( intruder_message(encrypt(quadruple(b,X1,generate_key(X1),X2),at))
    | ~ intruder_message(encrypt(triple(a,X1,X2),bt))
    | ~ intruder_message(X3) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_126,c_0_102]),c_0_127])]) ).

cnf(c_0_143,plain,
    ( intruder_message(encrypt(triple(b,generate_key(X1),X2),at))
    | ~ intruder_message(encrypt(triple(b,X1,X2),at))
    | ~ intruder_message(X3) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_128,c_0_102]),c_0_123])]) ).

cnf(c_0_144,plain,
    ( intruder_message(encrypt(triple(a,generate_key(X1),X2),bt))
    | ~ intruder_message(encrypt(triple(a,X1,X2),bt))
    | ~ intruder_message(X3) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_129,c_0_102]),c_0_127])]) ).

cnf(c_0_145,plain,
    ( intruder_message(pair(encrypt(triple(a,generate_key(an_a_nonce),X1),bt),encrypt(X2,generate_key(an_a_nonce))))
    | ~ intruder_message(triple(b,X2,encrypt(triple(a,an_a_nonce,X1),bt))) ),
    inference(spm,[status(thm)],[c_0_130,c_0_100]),
    [final] ).

cnf(c_0_146,plain,
    ( intruder_message(encrypt(X1,generate_key(an_a_nonce)))
    | ~ intruder_message(X1)
    | ~ intruder_message(X2) ),
    inference(spm,[status(thm)],[c_0_121,c_0_131]) ).

cnf(c_0_147,plain,
    ( intruder_message(triple(b,generate_b_nonce(an_a_nonce),encrypt(triple(b,an_a_nonce,generate_expiration_time(an_a_nonce)),bt)))
    | ~ intruder_message(pair(b,an_a_nonce)) ),
    inference(spm,[status(thm)],[c_0_83,c_0_132]),
    [final] ).

cnf(c_0_148,plain,
    ( intruder_message(encrypt(quadruple(b,X1,generate_key(X1),X2),bt))
    | ~ intruder_message(encrypt(triple(b,X1,X2),bt))
    | ~ intruder_message(X3) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_133,c_0_102]),c_0_127])]) ).

cnf(c_0_149,plain,
    ( intruder_message(encrypt(triple(b,generate_key(X1),X2),bt))
    | ~ intruder_message(encrypt(triple(b,X1,X2),bt))
    | ~ intruder_message(X3) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_134,c_0_102]),c_0_127])]) ).

cnf(c_0_150,plain,
    ( intruder_message(X1)
    | ~ intruder_message(triple(X2,X3,X1)) ),
    i_0_20,
    [final] ).

cnf(c_0_151,plain,
    ( intruder_message(triple(b,generate_b_nonce(an_a_nonce),encrypt(triple(t,an_a_nonce,generate_expiration_time(an_a_nonce)),bt)))
    | ~ intruder_message(pair(t,an_a_nonce)) ),
    inference(spm,[status(thm)],[c_0_83,c_0_135]),
    [final] ).

cnf(c_0_152,plain,
    ( intruder_message(pair(X1,encrypt(X2,X3)))
    | ~ intruder_message(at)
    | ~ intruder_message(X2)
    | ~ intruder_message(X1)
    | ~ intruder_message(X4)
    | ~ intruder_message(X3) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_136,c_0_137]),c_0_138])]),c_0_127])]) ).

cnf(c_0_153,plain,
    intruder_message(generate_b_nonce(an_a_nonce)),
    inference(spm,[status(thm)],[c_0_111,c_0_113]),
    [final] ).

cnf(c_0_154,plain,
    ( b_holds(key(X1,X2))
    | ~ b_stored(pair(X2,X3))
    | ~ message(sent(X2,b,pair(encrypt(triple(X2,X1,generate_expiration_time(X3)),bt),encrypt(generate_b_nonce(X3),X1)))) ),
    i_0_12,
    [final] ).

cnf(c_0_155,plain,
    ( b_stored(pair(X1,X2))
    | ~ fresh_to_b(X2)
    | ~ message(sent(X1,b,pair(X1,X2))) ),
    i_0_10,
    [final] ).

cnf(c_0_156,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_101,c_0_104]),
    [final] ).

cnf(c_0_157,plain,
    ( intruder_message(encrypt(quadruple(a,X1,generate_key(X1),X2),at))
    | ~ intruder_message(encrypt(triple(a,X1,X2),at)) ),
    inference(spm,[status(thm)],[c_0_139,c_0_104]),
    [final] ).

cnf(c_0_158,plain,
    ( intruder_message(encrypt(quadruple(a,X1,generate_key(X1),X2),bt))
    | ~ intruder_message(encrypt(triple(b,X1,X2),at)) ),
    inference(spm,[status(thm)],[c_0_140,c_0_104]),
    [final] ).

cnf(c_0_159,plain,
    ( intruder_message(encrypt(triple(a,generate_key(X1),X2),at))
    | ~ intruder_message(encrypt(triple(a,X1,X2),at)) ),
    inference(spm,[status(thm)],[c_0_141,c_0_104]),
    [final] ).

cnf(c_0_160,plain,
    ( intruder_message(encrypt(quadruple(b,X1,generate_key(X1),X2),at))
    | ~ intruder_message(encrypt(triple(a,X1,X2),bt)) ),
    inference(spm,[status(thm)],[c_0_142,c_0_104]),
    [final] ).

cnf(c_0_161,plain,
    ( intruder_message(encrypt(triple(b,generate_key(X1),X2),at))
    | ~ intruder_message(encrypt(triple(b,X1,X2),at)) ),
    inference(spm,[status(thm)],[c_0_143,c_0_104]),
    [final] ).

cnf(c_0_162,plain,
    ( intruder_message(encrypt(triple(a,generate_key(X1),X2),bt))
    | ~ intruder_message(encrypt(triple(a,X1,X2),bt)) ),
    inference(spm,[status(thm)],[c_0_144,c_0_104]),
    [final] ).

cnf(c_0_163,plain,
    ( intruder_message(encrypt(X1,generate_key(an_a_nonce)))
    | ~ intruder_message(triple(b,X1,encrypt(triple(a,an_a_nonce,X2),bt))) ),
    inference(spm,[status(thm)],[c_0_121,c_0_145]),
    [final] ).

cnf(c_0_164,plain,
    ( 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)))
    | ~ intruder_message(pair(b,an_a_nonce)) ),
    inference(spm,[status(thm)],[c_0_105,c_0_132]),
    [final] ).

cnf(c_0_165,plain,
    ( intruder_message(encrypt(X1,generate_key(an_a_nonce)))
    | ~ intruder_message(X1) ),
    inference(spm,[status(thm)],[c_0_146,c_0_104]),
    [final] ).

cnf(c_0_166,plain,
    ( intruder_message(encrypt(quadruple(b,an_a_nonce,generate_key(an_a_nonce),generate_expiration_time(an_a_nonce)),bt))
    | ~ intruder_message(pair(b,an_a_nonce)) ),
    inference(spm,[status(thm)],[c_0_133,c_0_147]),
    [final] ).

cnf(c_0_167,plain,
    ( intruder_message(encrypt(quadruple(b,X1,generate_key(X1),X2),bt))
    | ~ intruder_message(encrypt(triple(b,X1,X2),bt)) ),
    inference(spm,[status(thm)],[c_0_148,c_0_113]),
    [final] ).

cnf(c_0_168,plain,
    ( intruder_message(encrypt(triple(b,generate_key(X1),X2),bt))
    | ~ intruder_message(encrypt(triple(b,X1,X2),bt)) ),
    inference(spm,[status(thm)],[c_0_149,c_0_113]),
    [final] ).

cnf(c_0_169,plain,
    ( intruder_message(encrypt(triple(b,generate_key(an_a_nonce),generate_expiration_time(an_a_nonce)),bt))
    | ~ intruder_message(pair(b,an_a_nonce)) ),
    inference(spm,[status(thm)],[c_0_134,c_0_147]),
    [final] ).

cnf(c_0_170,plain,
    ( intruder_message(encrypt(triple(t,an_a_nonce,generate_expiration_time(an_a_nonce)),bt))
    | ~ intruder_message(pair(t,an_a_nonce)) ),
    inference(spm,[status(thm)],[c_0_150,c_0_151]),
    [final] ).

cnf(c_0_171,plain,
    ( intruder_message(encrypt(triple(b,an_a_nonce,generate_expiration_time(an_a_nonce)),bt))
    | ~ intruder_message(pair(b,an_a_nonce)) ),
    inference(spm,[status(thm)],[c_0_150,c_0_147]),
    [final] ).

cnf(c_0_172,plain,
    ( intruder_message(pair(X1,encrypt(X2,X3)))
    | ~ intruder_message(at)
    | ~ intruder_message(X2)
    | ~ intruder_message(X1)
    | ~ intruder_message(X3) ),
    inference(spm,[status(thm)],[c_0_152,c_0_153]),
    [final] ).

cnf(c_0_173,plain,
    ( b_holds(key(X1,X2))
    | ~ message(sent(X2,b,pair(encrypt(triple(X2,X1,generate_expiration_time(X3)),bt),encrypt(generate_b_nonce(X3),X1))))
    | ~ message(sent(X2,b,pair(X2,X3)))
    | ~ fresh_to_b(X3) ),
    inference(spm,[status(thm)],[c_0_154,c_0_155]),
    [final] ).

cnf(c_0_174,plain,
    ( message(sent(t,t,X1))
    | ~ intruder_message(X1) ),
    inference(spm,[status(thm)],[c_0_74,c_0_68]),
    [final] ).

cnf(c_0_175,plain,
    ( message(sent(a,a,X1))
    | ~ intruder_message(X1) ),
    inference(spm,[status(thm)],[c_0_88,c_0_75]),
    [final] ).

cnf(c_0_176,plain,
    ( message(sent(a,b,X1))
    | ~ intruder_message(X1) ),
    inference(spm,[status(thm)],[c_0_88,c_0_80]),
    [final] ).

cnf(c_0_177,plain,
    ( message(sent(b,a,X1))
    | ~ intruder_message(X1) ),
    inference(spm,[status(thm)],[c_0_90,c_0_75]),
    [final] ).

cnf(c_0_178,plain,
    ( message(sent(X1,t,X2))
    | ~ intruder_message(X2)
    | ~ party_of_protocol(X1) ),
    inference(spm,[status(thm)],[c_0_67,c_0_68]),
    [final] ).

cnf(c_0_179,plain,
    ( message(sent(X1,a,X2))
    | ~ intruder_message(X2)
    | ~ party_of_protocol(X1) ),
    inference(spm,[status(thm)],[c_0_67,c_0_75]),
    [final] ).

cnf(c_0_180,plain,
    ( message(sent(X1,b,X2))
    | ~ intruder_message(X2)
    | ~ party_of_protocol(X1) ),
    inference(spm,[status(thm)],[c_0_67,c_0_80]),
    [final] ).

cnf(c_0_181,plain,
    ( a_holds(key(X1,X2))
    | ~ a_stored(pair(X2,X3))
    | ~ message(sent(t,a,triple(encrypt(quadruple(X2,X3,X1,X4),at),X5,X6))) ),
    i_0_5,
    [final] ).

cnf(c_0_182,plain,
    ( intruder_message(X1)
    | ~ party_of_protocol(X2)
    | ~ intruder_message(encrypt(X3,X1))
    | ~ intruder_holds(key(X1,X2)) ),
    i_0_30,
    [final] ).

cnf(c_0_183,plain,
    ( intruder_message(pair(X1,X2))
    | ~ intruder_message(X2)
    | ~ intruder_message(X1) ),
    i_0_27,
    [final] ).

cnf(c_0_184,plain,
    ( intruder_message(X1)
    | ~ intruder_message(quadruple(X1,X2,X3,X4)) ),
    i_0_26,
    [final] ).

cnf(c_0_185,plain,
    ( intruder_message(X1)
    | ~ intruder_message(quadruple(X2,X1,X3,X4)) ),
    i_0_25,
    [final] ).

cnf(c_0_186,plain,
    ( intruder_message(X1)
    | ~ intruder_message(quadruple(X2,X3,X1,X4)) ),
    i_0_24,
    [final] ).

cnf(c_0_187,plain,
    ( intruder_message(X1)
    | ~ intruder_message(quadruple(X2,X3,X4,X1)) ),
    i_0_23,
    [final] ).

cnf(c_0_188,plain,
    intruder_message(encrypt(generate_b_nonce(an_a_nonce),generate_key(an_a_nonce))),
    inference(spm,[status(thm)],[c_0_121,c_0_156]),
    [final] ).

cnf(c_0_189,plain,
    intruder_message(encrypt(triple(a,generate_key(an_a_nonce),generate_expiration_time(an_a_nonce)),bt)),
    inference(spm,[status(thm)],[c_0_111,c_0_104]),
    [final] ).

cnf(c_0_190,plain,
    intruder_message(encrypt(triple(a,an_a_nonce,generate_expiration_time(an_a_nonce)),bt)),
    inference(spm,[status(thm)],[c_0_150,c_0_113]),
    [final] ).

cnf(c_0_191,plain,
    b_holds(key(bt,t)),
    i_0_7,
    [final] ).

cnf(c_0_192,plain,
    a_holds(key(at,t)),
    i_0_1,
    [final] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : SWV012+1 : TPTP v8.1.0. Released v2.4.0.
% 0.03/0.12  % Command  : enigmatic-eprover.py %s %d 1
% 0.12/0.33  % Computer : n027.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 600
% 0.12/0.33  % DateTime : Wed Jun 15 08:35:51 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.18/0.44  # ENIGMATIC: Selected complete mode:
% 7.56/2.32  # ENIGMATIC: Solved by autoschedule:
% 7.56/2.32  # No SInE strategy applied
% 7.56/2.32  # Trying AutoSched0 for 150 seconds
% 7.56/2.32  # AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S062A
% 7.56/2.32  # and selection function SelectMaxLComplexAPPNoType.
% 7.56/2.32  #
% 7.56/2.32  # Preprocessing time       : 0.021 s
% 7.56/2.32  # Presaturation interreduction done
% 7.56/2.32  
% 7.56/2.32  # No proof found!
% 7.56/2.32  # SZS status Satisfiable
% 7.56/2.32  # SZS output start Saturation
% See solution above
% 7.56/2.32  
% 7.56/2.32  # -------------------------------------------------
% 7.56/2.32  # User time                : 0.030 s
% 7.56/2.32  # System time              : 0.007 s
% 7.56/2.32  # Total time               : 0.038 s
% 7.56/2.32  # Maximum resident set size: 7116 pages
% 7.56/2.32  
%------------------------------------------------------------------------------