TSTP Solution File: SWV013+1 by E-SAT---3.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E-SAT---3.1
% Problem  : SWV013+1 : TPTP v8.1.2. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n006.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 2400s
% WCLimit  : 300s
% DateTime : Tue Oct 10 19:55:49 EDT 2023

% Result   : Satisfiable 0.15s 0.44s
% Output   : Saturation 0.15s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named c_0_68)

% Comments : 
%------------------------------------------------------------------------------
cnf(c_0_31,plain,
    ( message(sent(t,X3,triple(encrypt(quadruple(X1,X4,generate_key(X4),X5),X7),encrypt(triple(X3,generate_key(X4),X5),X6),X2)))
    | ~ message(sent(X1,t,triple(X1,X2,encrypt(triple(X3,X4,X5),X6))))
    | ~ t_holds(key(X6,X1))
    | ~ t_holds(key(X7,X3))
    | ~ a_nonce(X4) ),
    inference(split_conjunct,[status(thm)],[c_0_28]),
    [final] ).

cnf(c_0_32,plain,
    t_holds(key(at,a)),
    inference(split_conjunct,[status(thm)],[t_holds_key_at_for_a]),
    [final] ).

cnf(c_0_34,plain,
    ( message(sent(b,t,triple(b,generate_b_nonce(X1),encrypt(triple(X2,X1,generate_expiration_time(X1)),bt))))
    | ~ message(sent(X2,b,pair(X2,X1)))
    | ~ fresh_to_b(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_29]),
    [final] ).

cnf(c_0_35,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_36,plain,
    fresh_to_b(an_a_nonce),
    inference(split_conjunct,[status(thm)],[nonce_a_is_fresh_to_b]),
    [final] ).

cnf(c_0_37,plain,
    ( message(sent(X2,X3,X1))
    | ~ intruder_message(X1)
    | ~ party_of_protocol(X2)
    | ~ party_of_protocol(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_30]),
    [final] ).

cnf(c_0_38,plain,
    party_of_protocol(b),
    inference(split_conjunct,[status(thm)],[b_is_party_of_protocol]),
    [final] ).

cnf(c_0_40,plain,
    t_holds(key(bt,b)),
    inference(split_conjunct,[status(thm)],[t_holds_key_bt_for_b]),
    [final] ).

cnf(c_0_42,plain,
    ( message(sent(t,a,triple(encrypt(quadruple(X1,X2,generate_key(X2),X3),at),encrypt(triple(a,generate_key(X2),X3),X4),X5)))
    | ~ a_nonce(X2)
    | ~ t_holds(key(X4,X1))
    | ~ message(sent(X1,t,triple(X1,X5,encrypt(triple(a,X2,X3),X4)))) ),
    inference(spm,[status(thm)],[c_0_31,c_0_32]),
    [final] ).

cnf(c_0_43,plain,
    ( b_stored(pair(X1,X2))
    | ~ message(sent(X1,b,pair(X1,X2)))
    | ~ fresh_to_b(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_29]),
    [final] ).

cnf(c_0_45,plain,
    ( intruder_message(X3)
    | ~ message(sent(X1,X2,X3)) ),
    inference(split_conjunct,[status(thm)],[c_0_33]),
    [final] ).

cnf(c_0_46,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_34,c_0_35]),c_0_36])]),
    [final] ).

cnf(c_0_47,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_34,c_0_37]),c_0_38])]),
    [final] ).

cnf(c_0_48,plain,
    ( intruder_message(pair(X1,X2))
    | ~ intruder_message(X1)
    | ~ intruder_message(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_39]),
    [final] ).

cnf(c_0_49,plain,
    ( message(sent(t,b,triple(encrypt(quadruple(X1,X2,generate_key(X2),X3),bt),encrypt(triple(b,generate_key(X2),X3),X4),X5)))
    | ~ a_nonce(X2)
    | ~ t_holds(key(X4,X1))
    | ~ message(sent(X1,t,triple(X1,X5,encrypt(triple(b,X2,X3),X4)))) ),
    inference(spm,[status(thm)],[c_0_31,c_0_40]),
    [final] ).

cnf(c_0_50,plain,
    ( message(sent(a,X1,pair(X2,encrypt(X3,X4))))
    | ~ message(sent(t,a,triple(encrypt(quadruple(X1,X5,X4,X6),at),X2,X3)))
    | ~ a_stored(pair(X1,X5)) ),
    inference(split_conjunct,[status(thm)],[c_0_41]),
    [final] ).

cnf(c_0_51,plain,
    a_stored(pair(b,an_a_nonce)),
    inference(split_conjunct,[status(thm)],[a_stored_message_i]),
    [final] ).

cnf(c_0_52,plain,
    ( message(sent(t,a,triple(encrypt(quadruple(b,X1,generate_key(X1),X2),at),encrypt(triple(a,generate_key(X1),X2),bt),X3)))
    | ~ a_nonce(X1)
    | ~ message(sent(b,t,triple(b,X3,encrypt(triple(a,X1,X2),bt)))) ),
    inference(spm,[status(thm)],[c_0_42,c_0_40]),
    [final] ).

cnf(c_0_53,plain,
    a_nonce(an_a_nonce),
    inference(split_conjunct,[status(thm)],[an_a_nonce_is_a_nonce]),
    [final] ).

cnf(c_0_55,plain,
    ( b_stored(pair(X1,X2))
    | ~ intruder_message(pair(X1,X2))
    | ~ fresh_to_b(X2)
    | ~ party_of_protocol(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_37]),c_0_38])]),
    [final] ).

cnf(c_0_56,plain,
    party_of_protocol(t),
    inference(split_conjunct,[status(thm)],[t_is_party_of_protocol]),
    [final] ).

cnf(c_0_58,plain,
    ( intruder_message(X1)
    | ~ intruder_message(triple(X1,X2,X3)) ),
    inference(split_conjunct,[status(thm)],[c_0_44]),
    [final] ).

cnf(c_0_59,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_45,c_0_46]),
    [final] ).

cnf(c_0_60,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_47,c_0_48]),
    [final] ).

cnf(c_0_62,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_49,c_0_40]),
    [final] ).

cnf(c_0_63,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_50,c_0_51]),
    [final] ).

cnf(c_0_64,plain,
    party_of_protocol(a),
    inference(split_conjunct,[status(thm)],[a_is_party_of_protocol]),
    [final] ).

cnf(c_0_65,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_52,c_0_46]),c_0_53])]),
    [final] ).

cnf(c_0_66,plain,
    ( b_holds(key(X2,X1))
    | ~ message(sent(X1,b,pair(encrypt(triple(X1,X2,generate_expiration_time(X3)),bt),encrypt(generate_b_nonce(X3),X2))))
    | ~ b_stored(pair(X1,X3)) ),
    inference(split_conjunct,[status(thm)],[c_0_54]),
    [final] ).

cnf(c_0_67,plain,
    ( b_stored(pair(X1,X2))
    | ~ intruder_message(X2)
    | ~ intruder_message(X1)
    | ~ fresh_to_b(X2)
    | ~ party_of_protocol(X1) ),
    inference(spm,[status(thm)],[c_0_55,c_0_48]),
    [final] ).

cnf(c_0_70,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_52,c_0_37]),c_0_56]),c_0_38])]),
    [final] ).

cnf(c_0_71,plain,
    ( intruder_message(triple(X1,X2,X3))
    | ~ intruder_message(X1)
    | ~ intruder_message(X2)
    | ~ intruder_message(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_57]),
    [final] ).

cnf(c_0_72,plain,
    intruder_message(b),
    inference(spm,[status(thm)],[c_0_58,c_0_59]),
    [final] ).

cnf(c_0_73,plain,
    ( intruder_message(X1)
    | ~ intruder_message(triple(X2,X3,X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_44]),
    [final] ).

cnf(c_0_74,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_45,c_0_60]),
    [final] ).

cnf(c_0_75,plain,
    ( intruder_message(X1)
    | ~ intruder_message(pair(X1,X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_61]),
    [final] ).

cnf(c_0_76,plain,
    intruder_message(pair(a,an_a_nonce)),
    inference(spm,[status(thm)],[c_0_45,c_0_35]),
    [final] ).

cnf(c_0_77,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_62,c_0_37]),c_0_56]),c_0_38])]),
    [final] ).

cnf(c_0_78,plain,
    b_stored(pair(a,an_a_nonce)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_35]),c_0_36])]),
    [final] ).

cnf(c_0_79,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_63,c_0_37]),c_0_64]),c_0_56])]),
    [final] ).

cnf(c_0_80,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_45,c_0_65]),
    [final] ).

cnf(c_0_81,plain,
    ( b_holds(key(X1,X2))
    | ~ intruder_message(X3)
    | ~ intruder_message(X2)
    | ~ fresh_to_b(X3)
    | ~ message(sent(X2,b,pair(encrypt(triple(X2,X1,generate_expiration_time(X3)),bt),encrypt(generate_b_nonce(X3),X1))))
    | ~ party_of_protocol(X2) ),
    inference(spm,[status(thm)],[c_0_66,c_0_67]),
    [final] ).

cnf(c_0_82,plain,
    ( intruder_message(encrypt(X1,X2))
    | ~ intruder_message(X1)
    | ~ intruder_holds(key(X2,X3))
    | ~ party_of_protocol(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_68]),
    [final] ).

cnf(c_0_83,plain,
    ( intruder_holds(key(X1,X2))
    | ~ intruder_message(X1)
    | ~ party_of_protocol(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_69]),
    [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)))
    | ~ 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_70,c_0_71]),c_0_72])]),
    [final] ).

cnf(c_0_85,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_73,c_0_74]),
    [final] ).

cnf(c_0_86,plain,
    intruder_message(a),
    inference(spm,[status(thm)],[c_0_75,c_0_76]),
    [final] ).

cnf(c_0_87,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_77,c_0_71]),c_0_72])]),
    [final] ).

cnf(c_0_88,plain,
    ( b_holds(key(X1,a))
    | ~ message(sent(a,b,pair(encrypt(triple(a,X1,generate_expiration_time(an_a_nonce)),bt),encrypt(generate_b_nonce(an_a_nonce),X1)))) ),
    inference(spm,[status(thm)],[c_0_66,c_0_78]),
    [final] ).

cnf(c_0_89,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_79,c_0_71]),
    [final] ).

cnf(c_0_90,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_58,c_0_80]),
    [final] ).

cnf(c_0_91,plain,
    intruder_message(encrypt(triple(a,an_a_nonce,generate_expiration_time(an_a_nonce)),bt)),
    inference(spm,[status(thm)],[c_0_73,c_0_59]),
    [final] ).

cnf(c_0_92,plain,
    ( b_holds(key(X1,X2))
    | ~ intruder_message(pair(encrypt(triple(X2,X1,generate_expiration_time(X3)),bt),encrypt(generate_b_nonce(X3),X1)))
    | ~ intruder_message(X3)
    | ~ intruder_message(X2)
    | ~ fresh_to_b(X3)
    | ~ party_of_protocol(X2) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_81,c_0_37]),c_0_38])]),
    [final] ).

cnf(c_0_94,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_62,c_0_60]),c_0_72]),c_0_38])]),
    [final] ).

cnf(c_0_95,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_84,c_0_85]),c_0_86]),c_0_64])]),
    [final] ).

cnf(c_0_96,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_87,c_0_85]),c_0_72]),c_0_38])]),
    [final] ).

cnf(c_0_97,plain,
    ( b_holds(key(X1,a))
    | ~ intruder_message(pair(encrypt(triple(a,X1,generate_expiration_time(an_a_nonce)),bt),encrypt(generate_b_nonce(an_a_nonce),X1))) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_88,c_0_37]),c_0_38]),c_0_64])]),
    [final] ).

cnf(c_0_98,plain,
    ( a_holds(key(X1,X2))
    | ~ message(sent(t,a,triple(encrypt(quadruple(X2,X3,X1,X4),at),X5,X6)))
    | ~ a_stored(pair(X2,X3)) ),
    inference(split_conjunct,[status(thm)],[c_0_41]),
    [final] ).

cnf(c_0_99,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_89,c_0_90]),
    [final] ).

cnf(c_0_100,plain,
    ( intruder_message(X1)
    | ~ intruder_message(triple(X2,X1,X3)) ),
    inference(split_conjunct,[status(thm)],[c_0_44]),
    [final] ).

cnf(c_0_101,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_84,c_0_91]),c_0_53])]),
    [final] ).

cnf(c_0_102,plain,
    ( b_holds(key(X1,X2))
    | ~ intruder_message(encrypt(triple(X2,X1,generate_expiration_time(X3)),bt))
    | ~ intruder_message(encrypt(generate_b_nonce(X3),X1))
    | ~ intruder_message(X3)
    | ~ intruder_message(X2)
    | ~ fresh_to_b(X3)
    | ~ party_of_protocol(X2) ),
    inference(spm,[status(thm)],[c_0_92,c_0_48]),
    [final] ).

cnf(c_0_103,plain,
    ( intruder_message(encrypt(X1,X2))
    | ~ intruder_message(X1)
    | ~ intruder_message(X2) ),
    inference(spm,[status(thm)],[c_0_93,c_0_38]),
    [final] ).

cnf(c_0_104,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_45,c_0_94]),
    [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_45,c_0_95]),
    [final] ).

cnf(c_0_106,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_45,c_0_96]),
    [final] ).

cnf(c_0_107,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_42,c_0_32]),
    [final] ).

cnf(c_0_108,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_63,c_0_65]),
    [final] ).

cnf(c_0_109,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_49,c_0_32]),
    [final] ).

cnf(c_0_110,plain,
    ( intruder_message(X1)
    | ~ intruder_message(pair(X2,X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_61]),
    [final] ).

cnf(c_0_111,plain,
    ( b_holds(key(X1,a))
    | ~ intruder_message(encrypt(triple(a,X1,generate_expiration_time(an_a_nonce)),bt))
    | ~ intruder_message(encrypt(generate_b_nonce(an_a_nonce),X1)) ),
    inference(spm,[status(thm)],[c_0_97,c_0_48]),
    [final] ).

cnf(c_0_112,plain,
    ( a_holds(key(X1,b))
    | ~ message(sent(t,a,triple(encrypt(quadruple(b,an_a_nonce,X1,X2),at),X3,X4))) ),
    inference(spm,[status(thm)],[c_0_98,c_0_51]),
    [final] ).

cnf(c_0_113,plain,
    ( intruder_message(pair(X1,encrypt(X2,generate_key(an_a_nonce))))
    | ~ intruder_message(X2)
    | ~ intruder_message(X1) ),
    inference(spm,[status(thm)],[c_0_45,c_0_99]),
    [final] ).

cnf(c_0_114,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_100,c_0_74]),
    [final] ).

cnf(c_0_115,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_63,c_0_101]),
    [final] ).

cnf(c_0_116,plain,
    ( b_holds(key(X1,X2))
    | ~ intruder_message(encrypt(triple(X2,X1,generate_expiration_time(X3)),bt))
    | ~ intruder_message(generate_b_nonce(X3))
    | ~ intruder_message(X3)
    | ~ intruder_message(X2)
    | ~ intruder_message(X1)
    | ~ fresh_to_b(X3)
    | ~ party_of_protocol(X2) ),
    inference(spm,[status(thm)],[c_0_102,c_0_103]),
    [final] ).

cnf(c_0_117,plain,
    ( intruder_message(generate_b_nonce(X1))
    | ~ intruder_message(X1)
    | ~ a_nonce(X1)
    | ~ fresh_to_b(X1) ),
    inference(spm,[status(thm)],[c_0_73,c_0_104]),
    [final] ).

cnf(c_0_120,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_107,c_0_37]),c_0_56]),c_0_64])]),
    [final] ).

cnf(c_0_121,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_45,c_0_108]),
    [final] ).

cnf(c_0_122,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_109,c_0_37]),c_0_56]),c_0_64])]),
    [final] ).

cnf(c_0_123,plain,
    intruder_message(generate_b_nonce(an_a_nonce)),
    inference(spm,[status(thm)],[c_0_100,c_0_59]),
    [final] ).

cnf(c_0_124,plain,
    intruder_message(an_a_nonce),
    inference(spm,[status(thm)],[c_0_110,c_0_76]),
    [final] ).

cnf(c_0_126,plain,
    ( a_holds(key(X1,b))
    | ~ intruder_message(triple(encrypt(quadruple(b,an_a_nonce,X1,X2),at),X3,X4)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_112,c_0_37]),c_0_64]),c_0_56])]),
    [final] ).

cnf(c_0_128,plain,
    ( b_holds(key(generate_key(an_a_nonce),X1))
    | ~ intruder_message(encrypt(triple(X1,generate_key(an_a_nonce),generate_expiration_time(X2)),bt))
    | ~ intruder_message(X2)
    | ~ intruder_message(X1)
    | ~ fresh_to_b(X2)
    | ~ party_of_protocol(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_92,c_0_113]),c_0_114]),
    [final] ).

cnf(c_0_129,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_45,c_0_115]),
    [final] ).

cnf(c_0_130,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_52,c_0_60]),c_0_86]),c_0_64])]),
    [final] ).

cnf(c_0_132,plain,
    ( b_holds(key(X1,X2))
    | ~ intruder_message(encrypt(triple(X2,X1,generate_expiration_time(X3)),bt))
    | ~ intruder_message(X3)
    | ~ intruder_message(X2)
    | ~ intruder_message(X1)
    | ~ a_nonce(X3)
    | ~ fresh_to_b(X3)
    | ~ party_of_protocol(X2) ),
    inference(spm,[status(thm)],[c_0_116,c_0_117]),
    [final] ).

cnf(c_0_133,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_118,c_0_80]),
    [final] ).

cnf(c_0_134,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_119,c_0_80]),
    [final] ).

cnf(c_0_136,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_120,c_0_71]),c_0_86])]),
    [final] ).

cnf(c_0_138,plain,
    intruder_message(encrypt(generate_b_nonce(an_a_nonce),generate_key(an_a_nonce))),
    inference(spm,[status(thm)],[c_0_110,c_0_121]),
    [final] ).

cnf(c_0_139,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_122,c_0_71]),c_0_86])]),
    [final] ).

cnf(c_0_140,plain,
    ( b_holds(key(X1,X2))
    | ~ intruder_message(encrypt(triple(X2,X1,generate_expiration_time(X3)),bt))
    | ~ intruder_message(X3)
    | ~ intruder_message(X2)
    | ~ intruder_message(X1)
    | ~ intruder_message(X4)
    | ~ fresh_to_b(X3)
    | ~ party_of_protocol(X2)
    | ~ party_of_protocol(X4) ),
    inference(spm,[status(thm)],[c_0_116,c_0_114]),
    [final] ).

cnf(c_0_141,plain,
    ( b_holds(key(X1,X2))
    | ~ intruder_message(encrypt(triple(X2,X1,generate_expiration_time(an_a_nonce)),bt))
    | ~ intruder_message(X2)
    | ~ intruder_message(X1)
    | ~ party_of_protocol(X2) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_116,c_0_123]),c_0_124]),c_0_36])]),
    [final] ).

cnf(c_0_142,plain,
    ( b_holds(key(X1,a))
    | ~ intruder_message(encrypt(triple(a,X1,generate_expiration_time(an_a_nonce)),bt))
    | ~ intruder_message(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_125,c_0_123])]),
    [final] ).

cnf(c_0_143,plain,
    ( a_holds(key(X1,b))
    | ~ intruder_message(encrypt(quadruple(b,an_a_nonce,X1,X2),at))
    | ~ intruder_message(X3)
    | ~ intruder_message(X4) ),
    inference(spm,[status(thm)],[c_0_126,c_0_71]),
    [final] ).

cnf(c_0_150,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_47,c_0_129]),
    [final] ).

cnf(c_0_151,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_45,c_0_130]),
    [final] ).

cnf(c_0_152,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_47,c_0_121]),
    [final] ).

cnf(c_0_153,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_131,c_0_80]),
    [final] ).

cnf(c_0_154,plain,
    ( b_holds(key(generate_key(X1),a))
    | ~ intruder_message(generate_key(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_132,c_0_133]),c_0_86]),c_0_64])]),
    [final] ).

cnf(c_0_155,plain,
    ( b_holds(key(X1,X2))
    | ~ intruder_message(triple(X2,X1,generate_expiration_time(X3)))
    | ~ intruder_message(bt)
    | ~ intruder_message(X3)
    | ~ a_nonce(X3)
    | ~ fresh_to_b(X3)
    | ~ party_of_protocol(X2) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_132,c_0_103]),c_0_100]),c_0_58]),
    [final] ).

cnf(c_0_156,plain,
    ( b_holds(key(X1,X2))
    | ~ intruder_message(X1)
    | ~ intruder_message(X2)
    | ~ a_nonce(X1)
    | ~ fresh_to_b(X1)
    | ~ party_of_protocol(X2) ),
    inference(spm,[status(thm)],[c_0_132,c_0_85]),
    [final] ).

cnf(c_0_157,plain,
    ( b_holds(key(generate_key(X1),b))
    | ~ intruder_message(generate_key(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_132,c_0_134]),c_0_72]),c_0_38])]),
    [final] ).

cnf(c_0_158,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_135,c_0_80]),
    [final] ).

cnf(c_0_159,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_45,c_0_101]),
    [final] ).

cnf(c_0_160,plain,
    ( b_stored(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)
    | ~ 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_55,c_0_129]),
    [final] ).

cnf(c_0_161,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_47,c_0_113]),
    [final] ).

cnf(c_0_162,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) ),
    inference(spm,[status(thm)],[c_0_136,c_0_103]),
    [final] ).

cnf(c_0_163,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_34,c_0_99]),c_0_86])]),
    [final] ).

cnf(c_0_164,plain,
    ( b_stored(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))))
    | ~ 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_55,c_0_121]),
    [final] ).

cnf(c_0_165,plain,
    ( b_holds(key(generate_key(an_a_nonce),X1))
    | ~ intruder_message(triple(X1,generate_key(an_a_nonce),generate_expiration_time(X2)))
    | ~ intruder_message(bt)
    | ~ intruder_message(X2)
    | ~ fresh_to_b(X2)
    | ~ party_of_protocol(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_128,c_0_103]),c_0_58]),
    [final] ).

cnf(c_0_166,plain,
    ( b_holds(key(generate_key(an_a_nonce),X1))
    | ~ intruder_message(generate_key(an_a_nonce))
    | ~ intruder_message(X1)
    | ~ fresh_to_b(generate_key(an_a_nonce))
    | ~ party_of_protocol(X1) ),
    inference(spm,[status(thm)],[c_0_128,c_0_85]),
    [final] ).

cnf(c_0_167,plain,
    ( b_stored(pair(X1,encrypt(X2,generate_key(an_a_nonce))))
    | ~ intruder_message(X2)
    | ~ intruder_message(X1)
    | ~ fresh_to_b(encrypt(X2,generate_key(an_a_nonce)))
    | ~ party_of_protocol(X1) ),
    inference(spm,[status(thm)],[c_0_55,c_0_113]),
    [final] ).

cnf(c_0_168,plain,
    ( b_stored(pair(a,encrypt(X1,generate_key(an_a_nonce))))
    | ~ 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_43,c_0_99]),c_0_86])]),
    [final] ).

cnf(c_0_169,plain,
    ( intruder_message(encrypt(X1,generate_key(an_a_nonce)))
    | ~ intruder_message(X1) ),
    inference(spm,[status(thm)],[c_0_137,c_0_80]),
    [final] ).

cnf(c_0_170,plain,
    ( b_holds(key(generate_key(an_a_nonce),X1))
    | ~ intruder_message(encrypt(triple(X1,generate_key(an_a_nonce),generate_expiration_time(an_a_nonce)),bt))
    | ~ intruder_message(X1)
    | ~ party_of_protocol(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_102,c_0_138]),c_0_124]),c_0_36])]),
    [final] ).

cnf(c_0_171,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) ),
    inference(spm,[status(thm)],[c_0_84,c_0_103]),
    [final] ).

cnf(c_0_172,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) ),
    inference(spm,[status(thm)],[c_0_139,c_0_103]),
    [final] ).

cnf(c_0_173,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) ),
    inference(spm,[status(thm)],[c_0_87,c_0_103]),
    [final] ).

cnf(c_0_174,plain,
    ( b_holds(key(X1,X2))
    | ~ intruder_message(triple(X2,X1,generate_expiration_time(X3)))
    | ~ intruder_message(bt)
    | ~ intruder_message(X3)
    | ~ intruder_message(X4)
    | ~ fresh_to_b(X3)
    | ~ party_of_protocol(X2)
    | ~ party_of_protocol(X4) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_140,c_0_103]),c_0_100]),c_0_58]),
    [final] ).

cnf(c_0_175,plain,
    ( b_holds(key(X1,X2))
    | ~ intruder_message(X1)
    | ~ intruder_message(X2)
    | ~ intruder_message(X3)
    | ~ fresh_to_b(X1)
    | ~ party_of_protocol(X2)
    | ~ party_of_protocol(X3) ),
    inference(spm,[status(thm)],[c_0_140,c_0_85]),
    [final] ).

cnf(c_0_176,plain,
    ( b_holds(key(an_a_nonce,X1))
    | ~ intruder_message(X1)
    | ~ party_of_protocol(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_141,c_0_85]),c_0_124]),c_0_36])]),
    [final] ).

cnf(c_0_177,plain,
    ( b_holds(key(X1,X2))
    | ~ intruder_message(triple(X2,X1,generate_expiration_time(an_a_nonce)))
    | ~ intruder_message(bt)
    | ~ party_of_protocol(X2) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_141,c_0_103]),c_0_100]),c_0_58]),
    [final] ).

cnf(c_0_178,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) ),
    inference(spm,[status(thm)],[c_0_89,c_0_103]),
    [final] ).

cnf(c_0_179,plain,
    ( b_holds(key(X1,a))
    | ~ intruder_message(triple(a,X1,generate_expiration_time(an_a_nonce)))
    | ~ intruder_message(bt) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_142,c_0_103]),c_0_100]),
    [final] ).

cnf(c_0_180,plain,
    ( a_holds(key(X1,b))
    | ~ intruder_message(quadruple(b,an_a_nonce,X1,X2))
    | ~ intruder_message(at)
    | ~ intruder_message(X3)
    | ~ intruder_message(X4) ),
    inference(spm,[status(thm)],[c_0_143,c_0_103]),
    [final] ).

cnf(c_0_181,plain,
    ( intruder_message(quadruple(X1,X2,X3,X4))
    | ~ intruder_message(X1)
    | ~ intruder_message(X2)
    | ~ intruder_message(X3)
    | ~ intruder_message(X4) ),
    inference(split_conjunct,[status(thm)],[c_0_144]),
    [final] ).

cnf(c_0_182,plain,
    ( intruder_message(X2)
    | ~ intruder_message(encrypt(X1,X2))
    | ~ intruder_holds(key(X2,X3))
    | ~ party_of_protocol(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_145]),
    [final] ).

cnf(c_0_183,plain,
    ( intruder_message(X1)
    | ~ intruder_message(quadruple(X1,X2,X3,X4)) ),
    inference(split_conjunct,[status(thm)],[c_0_146]),
    [final] ).

cnf(c_0_184,plain,
    ( intruder_message(X1)
    | ~ intruder_message(quadruple(X2,X1,X3,X4)) ),
    inference(split_conjunct,[status(thm)],[c_0_146]),
    [final] ).

cnf(c_0_185,plain,
    ( intruder_message(X1)
    | ~ intruder_message(quadruple(X2,X3,X1,X4)) ),
    inference(split_conjunct,[status(thm)],[c_0_146]),
    [final] ).

cnf(c_0_186,plain,
    ( intruder_message(X1)
    | ~ intruder_message(quadruple(X2,X3,X4,X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_146]),
    [final] ).

cnf(c_0_187,plain,
    ~ a_nonce(generate_key(X1)),
    inference(split_conjunct,[status(thm)],[c_0_147]),
    [final] ).

cnf(c_0_188,plain,
    b_holds(key(generate_key(an_a_nonce),b)),
    inference(spm,[status(thm)],[c_0_148,c_0_80]),
    [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_75,c_0_121]),
    [final] ).

cnf(c_0_190,plain,
    b_holds(key(generate_key(an_a_nonce),a)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_81,c_0_108]),c_0_124]),c_0_86]),c_0_36]),c_0_64])]),
    [final] ).

cnf(c_0_191,plain,
    a_holds(key(generate_key(an_a_nonce),b)),
    inference(spm,[status(thm)],[c_0_112,c_0_65]),
    [final] ).

cnf(c_0_192,plain,
    b_holds(key(an_a_nonce,a)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_142,c_0_91]),c_0_124])]),
    [final] ).

cnf(c_0_193,plain,
    b_holds(key(bt,t)),
    inference(split_conjunct,[status(thm)],[b_hold_key_bt_for_t]),
    [final] ).

cnf(c_0_194,plain,
    a_holds(key(at,t)),
    inference(split_conjunct,[status(thm)],[a_holds_key_at_for_t]),
    [final] ).

cnf(c_0_195,plain,
    a_nonce(generate_expiration_time(X1)),
    inference(split_conjunct,[status(thm)],[c_0_149]),
    [final] ).

cnf(c_0_196,plain,
    a_nonce(generate_b_nonce(X1)),
    inference(split_conjunct,[status(thm)],[c_0_149]),
    [final] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.10  % Problem    : SWV013+1 : TPTP v8.1.2. Released v2.4.0.
% 0.05/0.10  % Command    : run_E %s %d THM
% 0.10/0.30  % Computer : n006.cluster.edu
% 0.10/0.30  % Model    : x86_64 x86_64
% 0.10/0.30  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.30  % Memory   : 8042.1875MB
% 0.10/0.30  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.30  % CPULimit   : 2400
% 0.10/0.30  % WCLimit    : 300
% 0.10/0.30  % DateTime   : Tue Oct  3 03:20:10 EDT 2023
% 0.10/0.31  % CPUTime    : 
% 0.15/0.41  Running first-order model finding
% 0.15/0.41  Running: /export/starexec/sandbox/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --satauto-schedule=8 --cpu-limit=300 /export/starexec/sandbox/tmp/tmp.dH2nGcAlSu/E---3.1_18326.p
% 0.15/0.44  # Version: 3.1pre001
% 0.15/0.44  # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.15/0.44  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.15/0.44  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.15/0.44  # Starting new_bool_3 with 300s (1) cores
% 0.15/0.44  # Starting new_bool_1 with 300s (1) cores
% 0.15/0.44  # Starting sh5l with 300s (1) cores
% 0.15/0.44  # new_bool_1 with pid 18405 completed with status 8
% 0.15/0.44  # new_bool_3 with pid 18404 completed with status 8
% 0.15/0.44  # sh5l with pid 18406 completed with status 8
% 0.15/0.44  # G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 18403 completed with status 1
% 0.15/0.44  # Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 0.15/0.44  # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.15/0.44  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.15/0.44  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.15/0.44  # No SInE strategy applied
% 0.15/0.44  # Search class: FHUNS-FFMM32-MFFFFFNN
% 0.15/0.44  # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 0.15/0.44  # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S4d with 811s (1) cores
% 0.15/0.44  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 0.15/0.44  # Starting new_bool_3 with 136s (1) cores
% 0.15/0.44  # Starting new_bool_1 with 136s (1) cores
% 0.15/0.44  # Starting sh5l with 136s (1) cores
% 0.15/0.44  # G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S4d with pid 18415 completed with status 1
% 0.15/0.44  # Result found by G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S4d
% 0.15/0.44  # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.15/0.44  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.15/0.44  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.15/0.44  # No SInE strategy applied
% 0.15/0.44  # Search class: FHUNS-FFMM32-MFFFFFNN
% 0.15/0.44  # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 0.15/0.44  # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S4d with 811s (1) cores
% 0.15/0.44  # Preprocessing time       : 0.001 s
% 0.15/0.44  # Presaturation interreduction done
% 0.15/0.44  
% 0.15/0.44  # No proof found!
% 0.15/0.44  # SZS status Satisfiable
% 0.15/0.44  # SZS output start Saturation
% See solution above
% 0.15/0.44  # Parsed axioms                        : 28
% 0.15/0.44  # Removed by relevancy pruning/SinE    : 0
% 0.15/0.44  # Initial clauses                      : 37
% 0.15/0.44  # Removed in clause preprocessing      : 0
% 0.15/0.44  # Initial clauses in saturation        : 37
% 0.15/0.44  # Processed clauses                    : 212
% 0.15/0.44  # ...of these trivial                  : 3
% 0.15/0.44  # ...subsumed                          : 18
% 0.15/0.44  # ...remaining for further processing  : 191
% 0.15/0.44  # Other redundant clauses eliminated   : 0
% 0.15/0.44  # Clauses deleted for lack of memory   : 0
% 0.15/0.44  # Backward-subsumed                    : 10
% 0.15/0.44  # Backward-rewritten                   : 1
% 0.15/0.44  # Generated clauses                    : 322
% 0.15/0.44  # ...of the previous two non-redundant : 254
% 0.15/0.44  # ...aggressively subsumed             : 0
% 0.15/0.44  # Contextual simplify-reflections      : 9
% 0.15/0.44  # Paramodulations                      : 322
% 0.15/0.44  # Factorizations                       : 0
% 0.15/0.44  # NegExts                              : 0
% 0.15/0.44  # Equation resolutions                 : 0
% 0.15/0.44  # Total rewrite steps                  : 288
% 0.15/0.44  # Propositional unsat checks           : 0
% 0.15/0.44  #    Propositional check models        : 0
% 0.15/0.44  #    Propositional check unsatisfiable : 0
% 0.15/0.44  #    Propositional clauses             : 0
% 0.15/0.44  #    Propositional clauses after purity: 0
% 0.15/0.44  #    Propositional unsat core size     : 0
% 0.15/0.44  #    Propositional preprocessing time  : 0.000
% 0.15/0.44  #    Propositional encoding time       : 0.000
% 0.15/0.44  #    Propositional solver time         : 0.000
% 0.15/0.44  #    Success case prop preproc time    : 0.000
% 0.15/0.44  #    Success case prop encoding time   : 0.000
% 0.15/0.44  #    Success case prop solver time     : 0.000
% 0.15/0.44  # Current number of processed clauses  : 143
% 0.15/0.44  #    Positive orientable unit clauses  : 33
% 0.15/0.44  #    Positive unorientable unit clauses: 0
% 0.15/0.44  #    Negative unit clauses             : 1
% 0.15/0.44  #    Non-unit-clauses                  : 109
% 0.15/0.44  # Current number of unprocessed clauses: 0
% 0.15/0.44  # ...number of literals in the above   : 0
% 0.15/0.44  # Current number of archived formulas  : 0
% 0.15/0.44  # Current number of archived clauses   : 48
% 0.15/0.44  # Clause-clause subsumption calls (NU) : 2945
% 0.15/0.44  # Rec. Clause-clause subsumption calls : 943
% 0.15/0.44  # Non-unit clause-clause subsumptions  : 33
% 0.15/0.44  # Unit Clause-clause subsumption calls : 11
% 0.15/0.44  # Rewrite failures with RHS unbound    : 0
% 0.15/0.44  # BW rewrite match attempts            : 26
% 0.15/0.44  # BW rewrite match successes           : 2
% 0.15/0.44  # Condensation attempts                : 0
% 0.15/0.44  # Condensation successes               : 0
% 0.15/0.44  # Termbank termtop insertions          : 11090
% 0.15/0.44  
% 0.15/0.44  # -------------------------------------------------
% 0.15/0.44  # User time                : 0.019 s
% 0.15/0.44  # System time              : 0.004 s
% 0.15/0.44  # Total time               : 0.023 s
% 0.15/0.44  # Maximum resident set size: 1860 pages
% 0.15/0.44  
% 0.15/0.44  # -------------------------------------------------
% 0.15/0.44  # User time                : 0.123 s
% 0.15/0.44  # System time              : 0.022 s
% 0.15/0.44  # Total time               : 0.146 s
% 0.15/0.44  # Maximum resident set size: 1740 pages
% 0.15/0.44  % E---3.1 exiting
%------------------------------------------------------------------------------