TSTP Solution File: SWV815-1 by E-SAT---3.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E-SAT---3.1
% Problem  : SWV815-1 : TPTP v8.1.2. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n021.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 20:07:55 EDT 2023

% Result   : Unsatisfiable 8.36s 1.56s
% Output   : CNFRefutation 8.36s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :   18
% Syntax   : Number of clauses     :   49 (  34 unt;   2 nHn;  42 RR)
%            Number of literals    :   76 (  10 equ;  34 neg)
%            Maximal clause size   :    7 (   1 avg)
%            Maximal term depth    :   10 (   2 avg)
%            Number of predicates  :    5 (   3 usr;   1 prp; 0-3 aty)
%            Number of functors    :   39 (  39 usr;  22 con; 0-5 aty)
%            Number of variables   :   53 (  16 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(cls_conjecture_5,negated_conjecture,
    c_in(c_Event_Oevent_OSays(v_S,v_Aa,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_Ka),v_X))))),c_List_Oset(v_evs5,tc_Event_Oevent),tc_Event_Oevent),
    file('/export/starexec/sandbox/tmp/tmp.8L64gIX8Ax/E---3.1_3889.p',cls_conjecture_5) ).

cnf(cls_conjecture_8,negated_conjecture,
    v_B = v_Ba,
    file('/export/starexec/sandbox/tmp/tmp.8L64gIX8Ax/E---3.1_3889.p',cls_conjecture_8) ).

cnf(cls_mem__def_0,axiom,
    ( hBOOL(hAPP(X1,X2))
    | ~ c_in(X2,X1,X3) ),
    file('/export/starexec/sandbox/tmp/tmp.8L64gIX8Ax/E---3.1_3889.p',cls_mem__def_0) ).

cnf(cls_conjecture_2,negated_conjecture,
    c_in(v_evs5,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)),
    file('/export/starexec/sandbox/tmp/tmp.8L64gIX8Ax/E---3.1_3889.p',cls_conjecture_2) ).

cnf(cls_conjecture_12,negated_conjecture,
    ( ~ c_in(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,c_List_OtakeWhile(c_COMBB(c_Not,c_COMBC(c_fequal(tc_Event_Oevent),c_Event_Oevent_OSays(v_A,v_B,c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB)))),tc_Event_Oevent,tc_Event_Oevent,tc_bool),tc_bool,tc_bool,tc_Event_Oevent),c_List_Orev(v_evs5,tc_Event_Oevent),tc_Event_Oevent))),tc_Message_Omsg)
    | ~ c_in(c_Event_Oevent_OSays(v_A,v_B,c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB)))),c_List_Oset(v_evs5,tc_Event_Oevent),tc_Event_Oevent) ),
    file('/export/starexec/sandbox/tmp/tmp.8L64gIX8Ax/E---3.1_3889.p',cls_conjecture_12) ).

cnf(cls_conjecture_7,negated_conjecture,
    v_A = v_Aa,
    file('/export/starexec/sandbox/tmp/tmp.8L64gIX8Ax/E---3.1_3889.p',cls_conjecture_7) ).

cnf(cls_conjecture_9,negated_conjecture,
    v_K = v_Ka,
    file('/export/starexec/sandbox/tmp/tmp.8L64gIX8Ax/E---3.1_3889.p',cls_conjecture_9) ).

cnf(cls_conjecture_11,negated_conjecture,
    c_in(c_Message_Omsg_OCrypt(v_Ka,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NBa),c_Message_Omsg_ONonce(v_NBa))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,c_List_OtakeWhile(c_COMBB(c_Not,c_COMBC(c_fequal(tc_Event_Oevent),c_Event_Oevent_OSays(v_Aa,v_Ba,c_Message_Omsg_OCrypt(v_Ka,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NBa),c_Message_Omsg_ONonce(v_NBa)))),tc_Event_Oevent,tc_Event_Oevent,tc_bool),tc_bool,tc_bool,tc_Event_Oevent),c_List_Orev(v_evs5,tc_Event_Oevent),tc_Event_Oevent))),tc_Message_Omsg),
    file('/export/starexec/sandbox/tmp/tmp.8L64gIX8Ax/E---3.1_3889.p',cls_conjecture_11) ).

cnf(cls_conjecture_10,negated_conjecture,
    v_NB = v_NBa,
    file('/export/starexec/sandbox/tmp/tmp.8L64gIX8Ax/E---3.1_3889.p',cls_conjecture_10) ).

cnf(cls_Says__imp__parts__knows__Spy_0,axiom,
    ( c_in(X1,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X2)),tc_Message_Omsg)
    | ~ c_in(c_Event_Oevent_OSays(X3,X4,X1),c_List_Oset(X2,tc_Event_Oevent),tc_Event_Oevent) ),
    file('/export/starexec/sandbox/tmp/tmp.8L64gIX8Ax/E---3.1_3889.p',cls_Says__imp__parts__knows__Spy_0) ).

cnf(cls_mem__def_1,axiom,
    ( c_in(X1,X2,X3)
    | ~ hBOOL(hAPP(X2,X1)) ),
    file('/export/starexec/sandbox/tmp/tmp.8L64gIX8Ax/E---3.1_3889.p',cls_mem__def_1) ).

cnf(cls_conjecture_6,negated_conjecture,
    ~ c_in(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs5)),tc_Message_Omsg),
    file('/export/starexec/sandbox/tmp/tmp.8L64gIX8Ax/E---3.1_3889.p',cls_conjecture_6) ).

cnf(cls_conjecture_0,negated_conjecture,
    ~ c_in(v_A,c_Event_Obad,tc_Message_Oagent),
    file('/export/starexec/sandbox/tmp/tmp.8L64gIX8Ax/E---3.1_3889.p',cls_conjecture_0) ).

cnf(cls_A__trusts__NS5_0,axiom,
    ( c_in(c_Event_Oevent_OSays(X1,X2,c_Message_Omsg_OCrypt(X3,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X4),c_Message_Omsg_ONonce(X4)))),c_List_Oset(X5,tc_Event_Oevent),tc_Event_Oevent)
    | c_in(X2,c_Event_Obad,tc_Message_Oagent)
    | c_in(X1,c_Event_Obad,tc_Message_Oagent)
    | c_in(hAPP(c_Message_Omsg_OKey,X3),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X5)),tc_Message_Omsg)
    | ~ c_in(X5,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
    | ~ c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X1),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X6),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X2),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X3),X7)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X5)),tc_Message_Omsg)
    | ~ c_in(c_Message_Omsg_OCrypt(X3,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X4),c_Message_Omsg_ONonce(X4))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X5)),tc_Message_Omsg) ),
    file('/export/starexec/sandbox/tmp/tmp.8L64gIX8Ax/E---3.1_3889.p',cls_A__trusts__NS5_0) ).

cnf(cls_conjecture_1,negated_conjecture,
    ~ c_in(v_B,c_Event_Obad,tc_Message_Oagent),
    file('/export/starexec/sandbox/tmp/tmp.8L64gIX8Ax/E---3.1_3889.p',cls_conjecture_1) ).

cnf(cls_subset__iff_0,axiom,
    ( c_in(X1,X2,X3)
    | ~ c_in(X1,X4,X3)
    | ~ c_lessequals(X4,X2,tc_fun(X3,tc_bool)) ),
    file('/export/starexec/sandbox/tmp/tmp.8L64gIX8Ax/E---3.1_3889.p',cls_subset__iff_0) ).

cnf(cls_parts__spies__takeWhile__mono_0,axiom,
    c_lessequals(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,c_List_OtakeWhile(X1,X2,tc_Event_Oevent))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X2)),tc_fun(tc_Message_Omsg,tc_bool)),
    file('/export/starexec/sandbox/tmp/tmp.8L64gIX8Ax/E---3.1_3889.p',cls_parts__spies__takeWhile__mono_0) ).

cnf(cls_spies__evs__rev_0,axiom,
    c_Event_Oknows(c_Message_Oagent_OSpy,X1) = c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Orev(X1,tc_Event_Oevent)),
    file('/export/starexec/sandbox/tmp/tmp.8L64gIX8Ax/E---3.1_3889.p',cls_spies__evs__rev_0) ).

cnf(c_0_18,negated_conjecture,
    c_in(c_Event_Oevent_OSays(v_S,v_Aa,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_Ka),v_X))))),c_List_Oset(v_evs5,tc_Event_Oevent),tc_Event_Oevent),
    cls_conjecture_5 ).

cnf(c_0_19,negated_conjecture,
    v_B = v_Ba,
    cls_conjecture_8 ).

cnf(c_0_20,axiom,
    ( hBOOL(hAPP(X1,X2))
    | ~ c_in(X2,X1,X3) ),
    cls_mem__def_0 ).

cnf(c_0_21,negated_conjecture,
    c_in(v_evs5,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)),
    cls_conjecture_2 ).

cnf(c_0_22,negated_conjecture,
    ( ~ c_in(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,c_List_OtakeWhile(c_COMBB(c_Not,c_COMBC(c_fequal(tc_Event_Oevent),c_Event_Oevent_OSays(v_A,v_B,c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB)))),tc_Event_Oevent,tc_Event_Oevent,tc_bool),tc_bool,tc_bool,tc_Event_Oevent),c_List_Orev(v_evs5,tc_Event_Oevent),tc_Event_Oevent))),tc_Message_Omsg)
    | ~ c_in(c_Event_Oevent_OSays(v_A,v_B,c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB)))),c_List_Oset(v_evs5,tc_Event_Oevent),tc_Event_Oevent) ),
    cls_conjecture_12 ).

cnf(c_0_23,negated_conjecture,
    v_A = v_Aa,
    cls_conjecture_7 ).

cnf(c_0_24,negated_conjecture,
    v_K = v_Ka,
    cls_conjecture_9 ).

cnf(c_0_25,negated_conjecture,
    c_in(c_Message_Omsg_OCrypt(v_Ka,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NBa),c_Message_Omsg_ONonce(v_NBa))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,c_List_OtakeWhile(c_COMBB(c_Not,c_COMBC(c_fequal(tc_Event_Oevent),c_Event_Oevent_OSays(v_Aa,v_Ba,c_Message_Omsg_OCrypt(v_Ka,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NBa),c_Message_Omsg_ONonce(v_NBa)))),tc_Event_Oevent,tc_Event_Oevent,tc_bool),tc_bool,tc_bool,tc_Event_Oevent),c_List_Orev(v_evs5,tc_Event_Oevent),tc_Event_Oevent))),tc_Message_Omsg),
    cls_conjecture_11 ).

cnf(c_0_26,negated_conjecture,
    v_NB = v_NBa,
    cls_conjecture_10 ).

cnf(c_0_27,axiom,
    ( c_in(X1,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X2)),tc_Message_Omsg)
    | ~ c_in(c_Event_Oevent_OSays(X3,X4,X1),c_List_Oset(X2,tc_Event_Oevent),tc_Event_Oevent) ),
    cls_Says__imp__parts__knows__Spy_0 ).

cnf(c_0_28,negated_conjecture,
    c_in(c_Event_Oevent_OSays(v_S,v_Aa,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_Ka),v_X))))),c_List_Oset(v_evs5,tc_Event_Oevent),tc_Event_Oevent),
    inference(rw,[status(thm)],[c_0_18,c_0_19]) ).

cnf(c_0_29,axiom,
    ( c_in(X1,X2,X3)
    | ~ hBOOL(hAPP(X2,X1)) ),
    cls_mem__def_1 ).

cnf(c_0_30,negated_conjecture,
    hBOOL(hAPP(c_NS__Shared__Mirabelle_Ons__shared,v_evs5)),
    inference(spm,[status(thm)],[c_0_20,c_0_21]) ).

cnf(c_0_31,negated_conjecture,
    ~ c_in(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs5)),tc_Message_Omsg),
    cls_conjecture_6 ).

cnf(c_0_32,negated_conjecture,
    ~ c_in(v_A,c_Event_Obad,tc_Message_Oagent),
    cls_conjecture_0 ).

cnf(c_0_33,negated_conjecture,
    ( ~ c_in(c_Message_Omsg_OCrypt(v_Ka,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,c_List_OtakeWhile(c_COMBB(c_Not,c_COMBC(c_fequal(tc_Event_Oevent),c_Event_Oevent_OSays(v_Aa,v_B,c_Message_Omsg_OCrypt(v_Ka,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB)))),tc_Event_Oevent,tc_Event_Oevent,tc_bool),tc_bool,tc_bool,tc_Event_Oevent),c_List_Orev(v_evs5,tc_Event_Oevent),tc_Event_Oevent))),tc_Message_Omsg)
    | ~ c_in(c_Event_Oevent_OSays(v_Aa,v_B,c_Message_Omsg_OCrypt(v_Ka,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB)))),c_List_Oset(v_evs5,tc_Event_Oevent),tc_Event_Oevent) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_22,c_0_23]),c_0_24]),c_0_24]),c_0_23]),c_0_24]) ).

cnf(c_0_34,negated_conjecture,
    c_in(c_Message_Omsg_OCrypt(v_Ka,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,c_List_OtakeWhile(c_COMBB(c_Not,c_COMBC(c_fequal(tc_Event_Oevent),c_Event_Oevent_OSays(v_Aa,v_B,c_Message_Omsg_OCrypt(v_Ka,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB)))),tc_Event_Oevent,tc_Event_Oevent,tc_bool),tc_bool,tc_bool,tc_Event_Oevent),c_List_Orev(v_evs5,tc_Event_Oevent),tc_Event_Oevent))),tc_Message_Omsg),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_25,c_0_26]),c_0_26]),c_0_19]),c_0_26]),c_0_26]) ).

cnf(c_0_35,axiom,
    ( c_in(c_Event_Oevent_OSays(X1,X2,c_Message_Omsg_OCrypt(X3,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X4),c_Message_Omsg_ONonce(X4)))),c_List_Oset(X5,tc_Event_Oevent),tc_Event_Oevent)
    | c_in(X2,c_Event_Obad,tc_Message_Oagent)
    | c_in(X1,c_Event_Obad,tc_Message_Oagent)
    | c_in(hAPP(c_Message_Omsg_OKey,X3),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X5)),tc_Message_Omsg)
    | ~ c_in(X5,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
    | ~ c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X1),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X6),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X2),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X3),X7)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X5)),tc_Message_Omsg)
    | ~ c_in(c_Message_Omsg_OCrypt(X3,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X4),c_Message_Omsg_ONonce(X4))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X5)),tc_Message_Omsg) ),
    cls_A__trusts__NS5_0 ).

cnf(c_0_36,negated_conjecture,
    c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_Ka),v_X)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs5)),tc_Message_Omsg),
    inference(spm,[status(thm)],[c_0_27,c_0_28]) ).

cnf(c_0_37,negated_conjecture,
    c_in(v_evs5,c_NS__Shared__Mirabelle_Ons__shared,X1),
    inference(spm,[status(thm)],[c_0_29,c_0_30]) ).

cnf(c_0_38,negated_conjecture,
    ~ c_in(hAPP(c_Message_Omsg_OKey,v_Ka),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs5)),tc_Message_Omsg),
    inference(rw,[status(thm)],[c_0_31,c_0_24]) ).

cnf(c_0_39,negated_conjecture,
    ~ c_in(v_Aa,c_Event_Obad,tc_Message_Oagent),
    inference(rw,[status(thm)],[c_0_32,c_0_23]) ).

cnf(c_0_40,negated_conjecture,
    ~ c_in(v_B,c_Event_Obad,tc_Message_Oagent),
    cls_conjecture_1 ).

cnf(c_0_41,axiom,
    ( c_in(X1,X2,X3)
    | ~ c_in(X1,X4,X3)
    | ~ c_lessequals(X4,X2,tc_fun(X3,tc_bool)) ),
    cls_subset__iff_0 ).

cnf(c_0_42,axiom,
    c_lessequals(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,c_List_OtakeWhile(X1,X2,tc_Event_Oevent))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X2)),tc_fun(tc_Message_Omsg,tc_bool)),
    cls_parts__spies__takeWhile__mono_0 ).

cnf(c_0_43,negated_conjecture,
    ~ c_in(c_Event_Oevent_OSays(v_Aa,v_B,c_Message_Omsg_OCrypt(v_Ka,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB)))),c_List_Oset(v_evs5,tc_Event_Oevent),tc_Event_Oevent),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_33,c_0_34])]) ).

cnf(c_0_44,negated_conjecture,
    ( c_in(c_Event_Oevent_OSays(v_Aa,v_B,c_Message_Omsg_OCrypt(v_Ka,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X1),c_Message_Omsg_ONonce(X1)))),c_List_Oset(v_evs5,tc_Event_Oevent),tc_Event_Oevent)
    | ~ c_in(c_Message_Omsg_OCrypt(v_Ka,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X1),c_Message_Omsg_ONonce(X1))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs5)),tc_Message_Omsg) ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_36]),c_0_37])]),c_0_38]),c_0_39]),c_0_40]) ).

cnf(c_0_45,plain,
    ( c_in(X1,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X2)),tc_Message_Omsg)
    | ~ c_in(X1,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,c_List_OtakeWhile(X3,X2,tc_Event_Oevent))),tc_Message_Omsg) ),
    inference(spm,[status(thm)],[c_0_41,c_0_42]) ).

cnf(c_0_46,axiom,
    c_Event_Oknows(c_Message_Oagent_OSpy,X1) = c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Orev(X1,tc_Event_Oevent)),
    cls_spies__evs__rev_0 ).

cnf(c_0_47,negated_conjecture,
    ~ c_in(c_Message_Omsg_OCrypt(v_Ka,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs5)),tc_Message_Omsg),
    inference(spm,[status(thm)],[c_0_43,c_0_44]) ).

cnf(c_0_48,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_34]),c_0_46]),c_0_47]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11  % Problem    : SWV815-1 : TPTP v8.1.2. Released v4.1.0.
% 0.03/0.12  % Command    : run_E %s %d THM
% 0.11/0.32  % Computer : n021.cluster.edu
% 0.11/0.32  % Model    : x86_64 x86_64
% 0.11/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32  % Memory   : 8042.1875MB
% 0.11/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32  % CPULimit   : 2400
% 0.11/0.32  % WCLimit    : 300
% 0.11/0.32  % DateTime   : Tue Oct  3 03:43:59 EDT 2023
% 0.11/0.32  % CPUTime    : 
% 0.17/0.49  Running first-order model finding
% 0.17/0.49  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.8L64gIX8Ax/E---3.1_3889.p
% 8.36/1.56  # Version: 3.1pre001
% 8.36/1.56  # Preprocessing class: FSLSSMSMSSSNFFN.
% 8.36/1.56  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 8.36/1.56  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 8.36/1.56  # Starting new_bool_3 with 300s (1) cores
% 8.36/1.56  # Starting new_bool_1 with 300s (1) cores
% 8.36/1.56  # Starting sh5l with 300s (1) cores
% 8.36/1.56  # new_bool_3 with pid 3967 completed with status 0
% 8.36/1.56  # Result found by new_bool_3
% 8.36/1.56  # Preprocessing class: FSLSSMSMSSSNFFN.
% 8.36/1.56  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 8.36/1.56  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 8.36/1.56  # Starting new_bool_3 with 300s (1) cores
% 8.36/1.56  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 8.36/1.56  # Search class: FGHSM-FSLM32-DFFFFFNN
% 8.36/1.56  # Scheduled 13 strats onto 1 cores with 300 seconds (300 total)
% 8.36/1.56  # Starting G-E--_301_C18_F1_URBAN_S5PRR_S0Y with 23s (1) cores
% 8.36/1.56  # G-E--_301_C18_F1_URBAN_S5PRR_S0Y with pid 3970 completed with status 0
% 8.36/1.56  # Result found by G-E--_301_C18_F1_URBAN_S5PRR_S0Y
% 8.36/1.56  # Preprocessing class: FSLSSMSMSSSNFFN.
% 8.36/1.56  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 8.36/1.56  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 8.36/1.56  # Starting new_bool_3 with 300s (1) cores
% 8.36/1.56  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 8.36/1.56  # Search class: FGHSM-FSLM32-DFFFFFNN
% 8.36/1.56  # Scheduled 13 strats onto 1 cores with 300 seconds (300 total)
% 8.36/1.56  # Starting G-E--_301_C18_F1_URBAN_S5PRR_S0Y with 23s (1) cores
% 8.36/1.56  # Preprocessing time       : 0.136 s
% 8.36/1.56  
% 8.36/1.56  # Proof found!
% 8.36/1.56  # SZS status Unsatisfiable
% 8.36/1.56  # SZS output start CNFRefutation
% See solution above
% 8.36/1.56  # Parsed axioms                        : 627
% 8.36/1.56  # Removed by relevancy pruning/SinE    : 120
% 8.36/1.56  # Initial clauses                      : 507
% 8.36/1.56  # Removed in clause preprocessing      : 0
% 8.36/1.56  # Initial clauses in saturation        : 507
% 8.36/1.56  # Processed clauses                    : 3936
% 8.36/1.56  # ...of these trivial                  : 235
% 8.36/1.56  # ...subsumed                          : 1903
% 8.36/1.56  # ...remaining for further processing  : 1798
% 8.36/1.56  # Other redundant clauses eliminated   : 21
% 8.36/1.56  # Clauses deleted for lack of memory   : 0
% 8.36/1.56  # Backward-subsumed                    : 120
% 8.36/1.56  # Backward-rewritten                   : 93
% 8.36/1.56  # Generated clauses                    : 30413
% 8.36/1.56  # ...of the previous two non-redundant : 26235
% 8.36/1.56  # ...aggressively subsumed             : 0
% 8.36/1.56  # Contextual simplify-reflections      : 2
% 8.36/1.56  # Paramodulations                      : 30322
% 8.36/1.56  # Factorizations                       : 0
% 8.36/1.56  # NegExts                              : 0
% 8.36/1.56  # Equation resolutions                 : 91
% 8.36/1.56  # Total rewrite steps                  : 19078
% 8.36/1.56  # Propositional unsat checks           : 0
% 8.36/1.56  #    Propositional check models        : 0
% 8.36/1.56  #    Propositional check unsatisfiable : 0
% 8.36/1.56  #    Propositional clauses             : 0
% 8.36/1.56  #    Propositional clauses after purity: 0
% 8.36/1.56  #    Propositional unsat core size     : 0
% 8.36/1.56  #    Propositional preprocessing time  : 0.000
% 8.36/1.56  #    Propositional encoding time       : 0.000
% 8.36/1.56  #    Propositional solver time         : 0.000
% 8.36/1.56  #    Success case prop preproc time    : 0.000
% 8.36/1.56  #    Success case prop encoding time   : 0.000
% 8.36/1.56  #    Success case prop solver time     : 0.000
% 8.36/1.56  # Current number of processed clauses  : 1585
% 8.36/1.56  #    Positive orientable unit clauses  : 564
% 8.36/1.56  #    Positive unorientable unit clauses: 7
% 8.36/1.56  #    Negative unit clauses             : 141
% 8.36/1.56  #    Non-unit-clauses                  : 873
% 8.36/1.56  # Current number of unprocessed clauses: 22366
% 8.36/1.56  # ...number of literals in the above   : 50164
% 8.36/1.56  # Current number of archived formulas  : 0
% 8.36/1.56  # Current number of archived clauses   : 213
% 8.36/1.56  # Clause-clause subsumption calls (NU) : 180079
% 8.36/1.56  # Rec. Clause-clause subsumption calls : 148817
% 8.36/1.56  # Non-unit clause-clause subsumptions  : 1323
% 8.36/1.56  # Unit Clause-clause subsumption calls : 28076
% 8.36/1.56  # Rewrite failures with RHS unbound    : 3
% 8.36/1.56  # BW rewrite match attempts            : 1099
% 8.36/1.56  # BW rewrite match successes           : 105
% 8.36/1.56  # Condensation attempts                : 0
% 8.36/1.56  # Condensation successes               : 0
% 8.36/1.56  # Termbank termtop insertions          : 633891
% 8.36/1.56  
% 8.36/1.56  # -------------------------------------------------
% 8.36/1.56  # User time                : 0.966 s
% 8.36/1.56  # System time              : 0.048 s
% 8.36/1.56  # Total time               : 1.014 s
% 8.36/1.56  # Maximum resident set size: 2872 pages
% 8.36/1.56  
% 8.36/1.56  # -------------------------------------------------
% 8.36/1.56  # User time                : 0.980 s
% 8.36/1.56  # System time              : 0.051 s
% 8.36/1.56  # Total time               : 1.031 s
% 8.36/1.56  # Maximum resident set size: 2184 pages
% 8.36/1.56  % E---3.1 exiting
%------------------------------------------------------------------------------