TSTP Solution File: SWV348-1 by E-SAT---3.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E-SAT---3.1
% Problem  : SWV348-1 : TPTP v8.1.2. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n024.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 19:56:59 EDT 2023

% Result   : Unsatisfiable 65.25s 9.01s
% Output   : CNFRefutation 65.25s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   18
%            Number of leaves      :   20
% Syntax   : Number of clauses     :   65 (  33 unt;   7 nHn;  59 RR)
%            Number of literals    :  123 (  10 equ;  58 neg)
%            Maximal clause size   :    6 (   1 avg)
%            Maximal term depth    :    8 (   2 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-3 aty)
%            Number of functors    :   31 (  31 usr;  17 con; 0-3 aty)
%            Number of variables   :  123 (  38 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(cls_Message_OMPair__analz_1,axiom,
    ( c_in(X1,c_Message_Oanalz(X3),tc_Message_Omsg)
    | ~ c_in(c_Message_Omsg_OMPair(X1,X2),c_Message_Oanalz(X3),tc_Message_Omsg) ),
    file('/export/starexec/sandbox2/tmp/tmp.kmfcRxQiMN/E---3.1_10568.p',cls_Message_OMPair__analz_1) ).

cnf(cls_Message_Oanalz_OInj_0,axiom,
    ( c_in(X1,c_Message_Oanalz(X2),tc_Message_Omsg)
    | ~ c_in(X1,X2,tc_Message_Omsg) ),
    file('/export/starexec/sandbox2/tmp/tmp.kmfcRxQiMN/E---3.1_10568.p',cls_Message_Oanalz_OInj_0) ).

cnf(cls_Yahalom_OGets__imp__analz__Spy__dest_0,axiom,
    ( c_in(X3,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X1)),tc_Message_Omsg)
    | ~ c_in(X1,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))
    | ~ c_in(c_Event_Oevent_OGets(X2,X3),c_List_Oset(X1,tc_Event_Oevent),tc_Event_Oevent) ),
    file('/export/starexec/sandbox2/tmp/tmp.kmfcRxQiMN/E---3.1_10568.p',cls_Yahalom_OGets__imp__analz__Spy__dest_0) ).

cnf(cls_conjecture_5,negated_conjecture,
    c_in(c_Event_Oevent_OGets(v_Aa,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(v_K),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_ONonce(v_NB))))),v_X)),c_List_Oset(v_evs4,tc_Event_Oevent),tc_Event_Oevent),
    file('/export/starexec/sandbox2/tmp/tmp.kmfcRxQiMN/E---3.1_10568.p',cls_conjecture_5) ).

cnf(cls_conjecture_2,negated_conjecture,
    c_in(v_evs4,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent)),
    file('/export/starexec/sandbox2/tmp/tmp.kmfcRxQiMN/E---3.1_10568.p',cls_conjecture_2) ).

cnf(cls_Message_Oanalz__idem_0,axiom,
    c_Message_Oanalz(c_Message_Oanalz(X1)) = c_Message_Oanalz(X1),
    file('/export/starexec/sandbox2/tmp/tmp.kmfcRxQiMN/E---3.1_10568.p',cls_Message_Oanalz__idem_0) ).

cnf(cls_Message_OMPair__analz_0,axiom,
    ( c_in(X2,c_Message_Oanalz(X3),tc_Message_Omsg)
    | ~ c_in(c_Message_Omsg_OMPair(X1,X2),c_Message_Oanalz(X3),tc_Message_Omsg) ),
    file('/export/starexec/sandbox2/tmp/tmp.kmfcRxQiMN/E---3.1_10568.p',cls_Message_OMPair__analz_0) ).

cnf(cls_Public_Oanalz__shrK__Decrypt_0,axiom,
    ( c_in(X2,c_Message_Oanalz(X3),tc_Message_Omsg)
    | ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(X1),X2),c_Message_Oanalz(X3),tc_Message_Omsg)
    | ~ c_in(c_Message_Omsg_OKey(c_Public_OshrK(X1)),c_Message_Oanalz(X3),tc_Message_Omsg) ),
    file('/export/starexec/sandbox2/tmp/tmp.kmfcRxQiMN/E---3.1_10568.p',cls_Public_Oanalz__shrK__Decrypt_0) ).

cnf(cls_Message_Oparts_OInj_0,axiom,
    ( c_in(X1,c_Message_Oparts(X2),tc_Message_Omsg)
    | ~ c_in(X1,X2,tc_Message_Omsg) ),
    file('/export/starexec/sandbox2/tmp/tmp.kmfcRxQiMN/E---3.1_10568.p',cls_Message_Oparts_OInj_0) ).

cnf(cls_Message_Oanalz__parts_0,axiom,
    c_Message_Oanalz(c_Message_Oparts(X1)) = c_Message_Oparts(X1),
    file('/export/starexec/sandbox2/tmp/tmp.kmfcRxQiMN/E---3.1_10568.p',cls_Message_Oanalz__parts_0) ).

cnf(cls_conjecture_10,negated_conjecture,
    ~ c_in(c_Message_Omsg_ONonce(v_NB),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg),
    file('/export/starexec/sandbox2/tmp/tmp.kmfcRxQiMN/E---3.1_10568.p',cls_conjecture_10) ).

cnf(cls_Message_Oparts__analz_0,axiom,
    c_Message_Oparts(c_Message_Oanalz(X1)) = c_Message_Oparts(X1),
    file('/export/starexec/sandbox2/tmp/tmp.kmfcRxQiMN/E---3.1_10568.p',cls_Message_Oparts__analz_0) ).

cnf(cls_Yahalom_OSpy__analz__shrK_1,axiom,
    ( c_in(c_Message_Omsg_OKey(c_Public_OshrK(X1)),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X2)),tc_Message_Omsg)
    | ~ c_in(X1,c_Event_Obad,tc_Message_Oagent)
    | ~ c_in(X2,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent)) ),
    file('/export/starexec/sandbox2/tmp/tmp.kmfcRxQiMN/E---3.1_10568.p',cls_Yahalom_OSpy__analz__shrK_1) ).

cnf(cls_Yahalom_OA__trusts__YM3_0,axiom,
    ( c_in(X2,c_Event_Obad,tc_Message_Oagent)
    | c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X2,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(X2),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X3),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(X4),c_Message_Omsg_OMPair(X5,X6)))),c_Message_Omsg_OCrypt(c_Public_OshrK(X3),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X2),c_Message_Omsg_OKey(X4))))),c_List_Oset(X1,tc_Event_Oevent),tc_Event_Oevent)
    | ~ c_in(X1,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))
    | ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(X2),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X3),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(X4),c_Message_Omsg_OMPair(X5,X6)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X1)),tc_Message_Omsg) ),
    file('/export/starexec/sandbox2/tmp/tmp.kmfcRxQiMN/E---3.1_10568.p',cls_Yahalom_OA__trusts__YM3_0) ).

cnf(cls_Yahalom_OSays__Server__imp__YM2_0,axiom,
    ( c_in(c_Event_Oevent_OGets(c_Message_Oagent_OServer,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X3),c_Message_Omsg_OCrypt(c_Public_OshrK(X3),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X2),c_Message_Omsg_OMPair(X5,X6))))),c_List_Oset(X1,tc_Event_Oevent),tc_Event_Oevent)
    | ~ c_in(X1,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))
    | ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X2,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(X2),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X3),c_Message_Omsg_OMPair(X4,c_Message_Omsg_OMPair(X5,X6)))),X7)),c_List_Oset(X1,tc_Event_Oevent),tc_Event_Oevent) ),
    file('/export/starexec/sandbox2/tmp/tmp.kmfcRxQiMN/E---3.1_10568.p',cls_Yahalom_OSays__Server__imp__YM2_0) ).

cnf(cls_Yahalom_OSays__unique__NB_0,axiom,
    ( c_in(X7,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X1)),tc_Message_Omsg)
    | X6 = X13
    | ~ c_in(X1,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))
    | ~ c_in(c_Event_Oevent_OGets(X2,c_Message_Omsg_OMPair(X3,c_Message_Omsg_OCrypt(c_Public_OshrK(X4),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X5),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X6),X7))))),c_List_Oset(X1,tc_Event_Oevent),tc_Event_Oevent)
    | ~ c_in(c_Event_Oevent_OSays(X8,X9,c_Message_Omsg_OMPair(X10,c_Message_Omsg_OCrypt(c_Public_OshrK(X11),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X12),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X13),X7))))),c_List_Oset(X1,tc_Event_Oevent),tc_Event_Oevent) ),
    file('/export/starexec/sandbox2/tmp/tmp.kmfcRxQiMN/E---3.1_10568.p',cls_Yahalom_OSays__unique__NB_0) ).

cnf(cls_conjecture_9,negated_conjecture,
    c_in(c_Event_Oevent_OSays(v_B,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_ONonce(v_NB)))))),c_List_Oset(v_evs4,tc_Event_Oevent),tc_Event_Oevent),
    file('/export/starexec/sandbox2/tmp/tmp.kmfcRxQiMN/E---3.1_10568.p',cls_conjecture_9) ).

cnf(cls_Yahalom_OSpy__not__see__encrypted__key_0,axiom,
    ( c_in(X3,c_Event_Obad,tc_Message_Oagent)
    | c_in(X2,c_Event_Obad,tc_Message_Oagent)
    | c_in(c_Event_Oevent_ONotes(c_Message_Oagent_OSpy,c_Message_Omsg_OMPair(X5,c_Message_Omsg_OMPair(X6,c_Message_Omsg_OKey(X4)))),c_List_Oset(X1,tc_Event_Oevent),tc_Event_Oevent)
    | ~ c_in(X1,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))
    | ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X2,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(X2),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X3),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(X4),c_Message_Omsg_OMPair(X5,X6)))),c_Message_Omsg_OCrypt(c_Public_OshrK(X3),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X2),c_Message_Omsg_OKey(X4))))),c_List_Oset(X1,tc_Event_Oevent),tc_Event_Oevent)
    | ~ c_in(c_Message_Omsg_OKey(X4),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X1)),tc_Message_Omsg) ),
    file('/export/starexec/sandbox2/tmp/tmp.kmfcRxQiMN/E---3.1_10568.p',cls_Yahalom_OSpy__not__see__encrypted__key_0) ).

cnf(cls_conjecture_11,negated_conjecture,
    c_in(c_Message_Omsg_OKey(v_K),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg),
    file('/export/starexec/sandbox2/tmp/tmp.kmfcRxQiMN/E---3.1_10568.p',cls_conjecture_11) ).

cnf(cls_conjecture_8,negated_conjecture,
    ~ c_in(c_Event_Oevent_ONotes(c_Message_Oagent_OSpy,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),X1))),c_List_Oset(v_evs4,tc_Event_Oevent),tc_Event_Oevent),
    file('/export/starexec/sandbox2/tmp/tmp.kmfcRxQiMN/E---3.1_10568.p',cls_conjecture_8) ).

cnf(c_0_20,axiom,
    ( c_in(X1,c_Message_Oanalz(X3),tc_Message_Omsg)
    | ~ c_in(c_Message_Omsg_OMPair(X1,X2),c_Message_Oanalz(X3),tc_Message_Omsg) ),
    cls_Message_OMPair__analz_1 ).

cnf(c_0_21,axiom,
    ( c_in(X1,c_Message_Oanalz(X2),tc_Message_Omsg)
    | ~ c_in(X1,X2,tc_Message_Omsg) ),
    cls_Message_Oanalz_OInj_0 ).

cnf(c_0_22,axiom,
    ( c_in(X3,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X1)),tc_Message_Omsg)
    | ~ c_in(X1,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))
    | ~ c_in(c_Event_Oevent_OGets(X2,X3),c_List_Oset(X1,tc_Event_Oevent),tc_Event_Oevent) ),
    cls_Yahalom_OGets__imp__analz__Spy__dest_0 ).

cnf(c_0_23,negated_conjecture,
    c_in(c_Event_Oevent_OGets(v_Aa,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(v_K),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_ONonce(v_NB))))),v_X)),c_List_Oset(v_evs4,tc_Event_Oevent),tc_Event_Oevent),
    cls_conjecture_5 ).

cnf(c_0_24,negated_conjecture,
    c_in(v_evs4,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent)),
    cls_conjecture_2 ).

cnf(c_0_25,plain,
    ( c_in(X1,c_Message_Oanalz(X2),tc_Message_Omsg)
    | ~ c_in(c_Message_Omsg_OMPair(X1,X3),X2,tc_Message_Omsg) ),
    inference(spm,[status(thm)],[c_0_20,c_0_21]) ).

cnf(c_0_26,negated_conjecture,
    c_in(c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(v_K),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_ONonce(v_NB))))),v_X),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_23]),c_0_24])]) ).

cnf(c_0_27,axiom,
    c_Message_Oanalz(c_Message_Oanalz(X1)) = c_Message_Oanalz(X1),
    cls_Message_Oanalz__idem_0 ).

cnf(c_0_28,axiom,
    ( c_in(X2,c_Message_Oanalz(X3),tc_Message_Omsg)
    | ~ c_in(c_Message_Omsg_OMPair(X1,X2),c_Message_Oanalz(X3),tc_Message_Omsg) ),
    cls_Message_OMPair__analz_0 ).

cnf(c_0_29,axiom,
    ( c_in(X2,c_Message_Oanalz(X3),tc_Message_Omsg)
    | ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(X1),X2),c_Message_Oanalz(X3),tc_Message_Omsg)
    | ~ c_in(c_Message_Omsg_OKey(c_Public_OshrK(X1)),c_Message_Oanalz(X3),tc_Message_Omsg) ),
    cls_Public_Oanalz__shrK__Decrypt_0 ).

cnf(c_0_30,negated_conjecture,
    c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(v_K),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_ONonce(v_NB))))),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_26]),c_0_27]) ).

cnf(c_0_31,plain,
    ( c_in(X1,c_Message_Oanalz(X2),tc_Message_Omsg)
    | ~ c_in(c_Message_Omsg_OMPair(X3,X1),X2,tc_Message_Omsg) ),
    inference(spm,[status(thm)],[c_0_28,c_0_21]) ).

cnf(c_0_32,negated_conjecture,
    ( c_in(c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(v_K),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_ONonce(v_NB)))),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg)
    | ~ c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_Aa)),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg) ),
    inference(spm,[status(thm)],[c_0_29,c_0_30]) ).

cnf(c_0_33,negated_conjecture,
    ( c_in(c_Message_Omsg_OMPair(c_Message_Omsg_OKey(v_K),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_ONonce(v_NB))),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg)
    | ~ c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_Aa)),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg) ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_32]),c_0_27]) ).

cnf(c_0_34,axiom,
    ( c_in(X1,c_Message_Oparts(X2),tc_Message_Omsg)
    | ~ c_in(X1,X2,tc_Message_Omsg) ),
    cls_Message_Oparts_OInj_0 ).

cnf(c_0_35,axiom,
    c_Message_Oanalz(c_Message_Oparts(X1)) = c_Message_Oparts(X1),
    cls_Message_Oanalz__parts_0 ).

cnf(c_0_36,negated_conjecture,
    ( c_in(c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_ONonce(v_NB)),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg)
    | ~ c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_Aa)),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg) ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_33]),c_0_27]) ).

cnf(c_0_37,negated_conjecture,
    ~ c_in(c_Message_Omsg_ONonce(v_NB),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg),
    cls_conjecture_10 ).

cnf(c_0_38,plain,
    ( c_in(X1,c_Message_Oparts(X2),tc_Message_Omsg)
    | ~ c_in(c_Message_Omsg_OMPair(X1,X3),X2,tc_Message_Omsg) ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_34]),c_0_35]) ).

cnf(c_0_39,axiom,
    c_Message_Oparts(c_Message_Oanalz(X1)) = c_Message_Oparts(X1),
    cls_Message_Oparts__analz_0 ).

cnf(c_0_40,negated_conjecture,
    ~ c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_Aa)),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_36]),c_0_27]),c_0_37]) ).

cnf(c_0_41,axiom,
    ( c_in(c_Message_Omsg_OKey(c_Public_OshrK(X1)),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X2)),tc_Message_Omsg)
    | ~ c_in(X1,c_Event_Obad,tc_Message_Oagent)
    | ~ c_in(X2,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent)) ),
    cls_Yahalom_OSpy__analz__shrK_1 ).

cnf(c_0_42,axiom,
    ( c_in(X2,c_Event_Obad,tc_Message_Oagent)
    | c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X2,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(X2),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X3),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(X4),c_Message_Omsg_OMPair(X5,X6)))),c_Message_Omsg_OCrypt(c_Public_OshrK(X3),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X2),c_Message_Omsg_OKey(X4))))),c_List_Oset(X1,tc_Event_Oevent),tc_Event_Oevent)
    | ~ c_in(X1,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))
    | ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(X2),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X3),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(X4),c_Message_Omsg_OMPair(X5,X6)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X1)),tc_Message_Omsg) ),
    cls_Yahalom_OA__trusts__YM3_0 ).

cnf(c_0_43,negated_conjecture,
    c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(v_K),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_ONonce(v_NB))))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_26]),c_0_39]) ).

cnf(c_0_44,negated_conjecture,
    ~ c_in(v_Aa,c_Event_Obad,tc_Message_Oagent),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_41]),c_0_24])]) ).

cnf(c_0_45,axiom,
    ( c_in(c_Event_Oevent_OGets(c_Message_Oagent_OServer,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X3),c_Message_Omsg_OCrypt(c_Public_OshrK(X3),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X2),c_Message_Omsg_OMPair(X5,X6))))),c_List_Oset(X1,tc_Event_Oevent),tc_Event_Oevent)
    | ~ c_in(X1,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))
    | ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X2,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(X2),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X3),c_Message_Omsg_OMPair(X4,c_Message_Omsg_OMPair(X5,X6)))),X7)),c_List_Oset(X1,tc_Event_Oevent),tc_Event_Oevent) ),
    cls_Yahalom_OSays__Server__imp__YM2_0 ).

cnf(c_0_46,negated_conjecture,
    c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,v_Aa,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(v_K),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_ONonce(v_NB))))),c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OKey(v_K))))),c_List_Oset(v_evs4,tc_Event_Oevent),tc_Event_Oevent),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_42,c_0_43]),c_0_24])]),c_0_44]) ).

cnf(c_0_47,negated_conjecture,
    c_in(c_Event_Oevent_OGets(c_Message_Oagent_OServer,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_ONonce(v_NB)))))),c_List_Oset(v_evs4,tc_Event_Oevent),tc_Event_Oevent),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_46]),c_0_24])]) ).

cnf(c_0_48,negated_conjecture,
    c_in(c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_ONonce(v_NB))))),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_47]),c_0_24])]) ).

cnf(c_0_49,negated_conjecture,
    c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_ONonce(v_NB)))),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_48]),c_0_27]) ).

cnf(c_0_50,negated_conjecture,
    ( c_in(c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_ONonce(v_NB))),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg)
    | ~ c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg) ),
    inference(spm,[status(thm)],[c_0_29,c_0_49]) ).

cnf(c_0_51,negated_conjecture,
    ( c_in(c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_ONonce(v_NB)),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg)
    | ~ c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg) ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_50]),c_0_27]) ).

cnf(c_0_52,axiom,
    ( c_in(X7,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X1)),tc_Message_Omsg)
    | X6 = X13
    | ~ c_in(X1,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))
    | ~ c_in(c_Event_Oevent_OGets(X2,c_Message_Omsg_OMPair(X3,c_Message_Omsg_OCrypt(c_Public_OshrK(X4),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X5),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X6),X7))))),c_List_Oset(X1,tc_Event_Oevent),tc_Event_Oevent)
    | ~ c_in(c_Event_Oevent_OSays(X8,X9,c_Message_Omsg_OMPair(X10,c_Message_Omsg_OCrypt(c_Public_OshrK(X11),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X12),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X13),X7))))),c_List_Oset(X1,tc_Event_Oevent),tc_Event_Oevent) ),
    cls_Yahalom_OSays__unique__NB_0 ).

cnf(c_0_53,negated_conjecture,
    c_in(c_Event_Oevent_OSays(v_B,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_ONonce(v_NB)))))),c_List_Oset(v_evs4,tc_Event_Oevent),tc_Event_Oevent),
    cls_conjecture_9 ).

cnf(c_0_54,axiom,
    ( c_in(X3,c_Event_Obad,tc_Message_Oagent)
    | c_in(X2,c_Event_Obad,tc_Message_Oagent)
    | c_in(c_Event_Oevent_ONotes(c_Message_Oagent_OSpy,c_Message_Omsg_OMPair(X5,c_Message_Omsg_OMPair(X6,c_Message_Omsg_OKey(X4)))),c_List_Oset(X1,tc_Event_Oevent),tc_Event_Oevent)
    | ~ c_in(X1,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))
    | ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X2,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(X2),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X3),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(X4),c_Message_Omsg_OMPair(X5,X6)))),c_Message_Omsg_OCrypt(c_Public_OshrK(X3),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X2),c_Message_Omsg_OKey(X4))))),c_List_Oset(X1,tc_Event_Oevent),tc_Event_Oevent)
    | ~ c_in(c_Message_Omsg_OKey(X4),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X1)),tc_Message_Omsg) ),
    cls_Yahalom_OSpy__not__see__encrypted__key_0 ).

cnf(c_0_55,negated_conjecture,
    c_in(c_Message_Omsg_OKey(v_K),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg),
    cls_conjecture_11 ).

cnf(c_0_56,negated_conjecture,
    ~ c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_51]),c_0_27]),c_0_37]) ).

cnf(c_0_57,negated_conjecture,
    ( X1 = v_NA
    | ~ c_in(c_Event_Oevent_OGets(X2,c_Message_Omsg_OMPair(X3,c_Message_Omsg_OCrypt(c_Public_OshrK(X4),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X5),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X1),c_Message_Omsg_ONonce(v_NB)))))),c_List_Oset(v_evs4,tc_Event_Oevent),tc_Event_Oevent) ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_53]),c_0_24])]),c_0_37]) ).

cnf(c_0_58,negated_conjecture,
    ( c_in(c_Event_Oevent_ONotes(c_Message_Oagent_OSpy,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_OKey(v_K)))),c_List_Oset(v_evs4,tc_Event_Oevent),tc_Event_Oevent)
    | c_in(v_Ba,c_Event_Obad,tc_Message_Oagent) ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_46]),c_0_55]),c_0_24])]),c_0_44]) ).

cnf(c_0_59,negated_conjecture,
    ~ c_in(v_Ba,c_Event_Obad,tc_Message_Oagent),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_41]),c_0_24])]) ).

cnf(c_0_60,negated_conjecture,
    ~ c_in(c_Event_Oevent_ONotes(c_Message_Oagent_OSpy,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),X1))),c_List_Oset(v_evs4,tc_Event_Oevent),tc_Event_Oevent),
    cls_conjecture_8 ).

cnf(c_0_61,negated_conjecture,
    v_NA = v_NAa,
    inference(spm,[status(thm)],[c_0_57,c_0_47]) ).

cnf(c_0_62,negated_conjecture,
    c_in(c_Event_Oevent_ONotes(c_Message_Oagent_OSpy,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_OKey(v_K)))),c_List_Oset(v_evs4,tc_Event_Oevent),tc_Event_Oevent),
    inference(sr,[status(thm)],[c_0_58,c_0_59]) ).

cnf(c_0_63,negated_conjecture,
    ~ c_in(c_Event_Oevent_ONotes(c_Message_Oagent_OSpy,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),X1))),c_List_Oset(v_evs4,tc_Event_Oevent),tc_Event_Oevent),
    inference(spm,[status(thm)],[c_0_60,c_0_61]) ).

cnf(c_0_64,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[c_0_62,c_0_63]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.09  % Problem    : SWV348-1 : TPTP v8.1.2. Released v3.2.0.
% 0.04/0.10  % Command    : run_E %s %d THM
% 0.09/0.30  % Computer : n024.cluster.edu
% 0.09/0.30  % Model    : x86_64 x86_64
% 0.09/0.30  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.30  % Memory   : 8042.1875MB
% 0.09/0.30  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.09/0.30  % CPULimit   : 2400
% 0.09/0.30  % WCLimit    : 300
% 0.09/0.30  % DateTime   : Tue Oct  3 03:42:42 EDT 2023
% 0.09/0.30  % CPUTime    : 
% 0.15/0.60  Running first-order model finding
% 0.15/0.60  Running: /export/starexec/sandbox2/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/sandbox2/tmp/tmp.kmfcRxQiMN/E---3.1_10568.p
% 65.25/9.01  # Version: 3.1pre001
% 65.25/9.01  # Preprocessing class: FMLMSMSMSSSNFFN.
% 65.25/9.01  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 65.25/9.01  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 65.25/9.01  # Starting new_bool_3 with 300s (1) cores
% 65.25/9.01  # Starting new_bool_1 with 300s (1) cores
% 65.25/9.01  # Starting sh5l with 300s (1) cores
% 65.25/9.01  # new_bool_3 with pid 10648 completed with status 0
% 65.25/9.01  # Result found by new_bool_3
% 65.25/9.01  # Preprocessing class: FMLMSMSMSSSNFFN.
% 65.25/9.01  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 65.25/9.01  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 65.25/9.01  # Starting new_bool_3 with 300s (1) cores
% 65.25/9.01  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 65.25/9.01  # Search class: FGHSM-FSLM31-DFFFFFNN
% 65.25/9.01  # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 65.25/9.01  # Starting G-E--_208_C18C--_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 136s (1) cores
% 65.25/9.01  # G-E--_208_C18C--_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with pid 10651 completed with status 0
% 65.25/9.01  # Result found by G-E--_208_C18C--_F1_SE_CS_SP_PS_S5PRR_RG_S04AN
% 65.25/9.01  # Preprocessing class: FMLMSMSMSSSNFFN.
% 65.25/9.01  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 65.25/9.01  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 65.25/9.01  # Starting new_bool_3 with 300s (1) cores
% 65.25/9.01  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 65.25/9.01  # Search class: FGHSM-FSLM31-DFFFFFNN
% 65.25/9.01  # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 65.25/9.01  # Starting G-E--_208_C18C--_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 136s (1) cores
% 65.25/9.01  # Preprocessing time       : 0.007 s
% 65.25/9.01  # Presaturation interreduction done
% 65.25/9.01  
% 65.25/9.01  # Proof found!
% 65.25/9.01  # SZS status Unsatisfiable
% 65.25/9.01  # SZS output start CNFRefutation
% See solution above
% 65.25/9.01  # Parsed axioms                        : 2978
% 65.25/9.01  # Removed by relevancy pruning/SinE    : 2358
% 65.25/9.01  # Initial clauses                      : 620
% 65.25/9.01  # Removed in clause preprocessing      : 0
% 65.25/9.01  # Initial clauses in saturation        : 620
% 65.25/9.01  # Processed clauses                    : 44641
% 65.25/9.01  # ...of these trivial                  : 1012
% 65.25/9.01  # ...subsumed                          : 35938
% 65.25/9.01  # ...remaining for further processing  : 7691
% 65.25/9.01  # Other redundant clauses eliminated   : 3418
% 65.25/9.01  # Clauses deleted for lack of memory   : 0
% 65.25/9.01  # Backward-subsumed                    : 438
% 65.25/9.01  # Backward-rewritten                   : 665
% 65.25/9.01  # Generated clauses                    : 365963
% 65.25/9.01  # ...of the previous two non-redundant : 319968
% 65.25/9.01  # ...aggressively subsumed             : 0
% 65.25/9.01  # Contextual simplify-reflections      : 36
% 65.25/9.01  # Paramodulations                      : 362460
% 65.25/9.01  # Factorizations                       : 5
% 65.25/9.01  # NegExts                              : 0
% 65.25/9.01  # Equation resolutions                 : 3496
% 65.25/9.01  # Total rewrite steps                  : 235742
% 65.25/9.01  # Propositional unsat checks           : 1
% 65.25/9.01  #    Propositional check models        : 0
% 65.25/9.01  #    Propositional check unsatisfiable : 0
% 65.25/9.01  #    Propositional clauses             : 0
% 65.25/9.01  #    Propositional clauses after purity: 0
% 65.25/9.01  #    Propositional unsat core size     : 0
% 65.25/9.01  #    Propositional preprocessing time  : 0.000
% 65.25/9.01  #    Propositional encoding time       : 0.267
% 65.25/9.01  #    Propositional solver time         : 0.175
% 65.25/9.01  #    Success case prop preproc time    : 0.000
% 65.25/9.01  #    Success case prop encoding time   : 0.000
% 65.25/9.01  #    Success case prop solver time     : 0.000
% 65.25/9.01  # Current number of processed clauses  : 6040
% 65.25/9.01  #    Positive orientable unit clauses  : 1391
% 65.25/9.01  #    Positive unorientable unit clauses: 22
% 65.25/9.01  #    Negative unit clauses             : 891
% 65.25/9.01  #    Non-unit-clauses                  : 3736
% 65.25/9.01  # Current number of unprocessed clauses: 274470
% 65.25/9.01  # ...number of literals in the above   : 691009
% 65.25/9.01  # Current number of archived formulas  : 0
% 65.25/9.01  # Current number of archived clauses   : 1651
% 65.25/9.01  # Clause-clause subsumption calls (NU) : 1772657
% 65.25/9.01  # Rec. Clause-clause subsumption calls : 918662
% 65.25/9.01  # Non-unit clause-clause subsumptions  : 9297
% 65.25/9.01  # Unit Clause-clause subsumption calls : 146096
% 65.25/9.01  # Rewrite failures with RHS unbound    : 0
% 65.25/9.01  # BW rewrite match attempts            : 7638
% 65.25/9.01  # BW rewrite match successes           : 381
% 65.25/9.01  # Condensation attempts                : 0
% 65.25/9.01  # Condensation successes               : 0
% 65.25/9.01  # Termbank termtop insertions          : 7662406
% 65.25/9.01  
% 65.25/9.01  # -------------------------------------------------
% 65.25/9.01  # User time                : 7.849 s
% 65.25/9.01  # System time              : 0.303 s
% 65.25/9.01  # Total time               : 8.152 s
% 65.25/9.01  # Maximum resident set size: 4692 pages
% 65.25/9.01  
% 65.25/9.01  # -------------------------------------------------
% 65.25/9.01  # User time                : 7.895 s
% 65.25/9.01  # System time              : 0.308 s
% 65.25/9.01  # Total time               : 8.203 s
% 65.25/9.01  # Maximum resident set size: 3664 pages
% 65.25/9.01  % E---3.1 exiting
%------------------------------------------------------------------------------