TSTP Solution File: SWV798-1 by E-SAT---3.1.00

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E-SAT---3.1.00
% Problem  : SWV798-1 : TPTP v8.1.2. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n023.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Sat May  4 09:59:29 EDT 2024

% Result   : Unsatisfiable 6.03s 1.33s
% Output   : CNFRefutation 6.03s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :   12
% Syntax   : Number of clauses     :   42 (  24 unt;  11 nHn;  37 RR)
%            Number of literals    :   90 (   4 equ;  46 neg)
%            Maximal clause size   :    6 (   2 avg)
%            Maximal term depth    :   10 (   2 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :   28 (  28 usr;  16 con; 0-3 aty)
%            Number of variables   :   81 (  16 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(cls_cert__A__form_1,axiom,
    ( X1 = c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X2),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X3),c_Message_Omsg_OAgent(X4)))
    | hBOOL(c_in(X4,c_Event_Obad,tc_Message_Oagent))
    | ~ hBOOL(c_in(X5,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)))
    | ~ hBOOL(c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X4),c_Message_Omsg_OMPair(X6,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X2),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X3),X1)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X5)),tc_Message_Omsg)) ),
    file('/export/starexec/sandbox2/tmp/tmp.42Kklazqqa/E---3.1_11291.p',cls_cert__A__form_1) ).

cnf(cls_conjecture_0,negated_conjecture,
    ~ hBOOL(c_in(v_A,c_Event_Obad,tc_Message_Oagent)),
    file('/export/starexec/sandbox2/tmp/tmp.42Kklazqqa/E---3.1_11291.p',cls_conjecture_0) ).

cnf(cls_B__trusts__NS5__lemma_0,axiom,
    ( hBOOL(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))
    | hBOOL(c_in(hAPP(c_Message_Omsg_OKey,X3),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X5)),tc_Message_Omsg))
    | hBOOL(c_in(X2,c_Event_Obad,tc_Message_Oagent))
    | ~ hBOOL(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))
    | ~ hBOOL(c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X1,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X1),c_Message_Omsg_OMPair(X6,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X2),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X3),c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X2),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X3),c_Message_Omsg_OAgent(X1)))))))),c_List_Oset(X5,tc_Event_Oevent),tc_Event_Oevent))
    | ~ hBOOL(c_in(X5,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))) ),
    file('/export/starexec/sandbox2/tmp/tmp.42Kklazqqa/E---3.1_11291.p',cls_B__trusts__NS5__lemma_0) ).

cnf(cls_conjecture_4,negated_conjecture,
    hBOOL(c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_A),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_K),v_X)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg)),
    file('/export/starexec/sandbox2/tmp/tmp.42Kklazqqa/E---3.1_11291.p',cls_conjecture_4) ).

cnf(cls_conjecture_2,negated_conjecture,
    hBOOL(c_in(v_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))),
    file('/export/starexec/sandbox2/tmp/tmp.42Kklazqqa/E---3.1_11291.p',cls_conjecture_2) ).

cnf(cls_conjecture_1,negated_conjecture,
    ~ hBOOL(c_in(v_B,c_Event_Obad,tc_Message_Oagent)),
    file('/export/starexec/sandbox2/tmp/tmp.42Kklazqqa/E---3.1_11291.p',cls_conjecture_1) ).

cnf(cls_mem__def_0,axiom,
    ( hBOOL(hAPP(X1,X2))
    | ~ hBOOL(c_in(X2,X1,X3)) ),
    file('/export/starexec/sandbox2/tmp/tmp.42Kklazqqa/E---3.1_11291.p',cls_mem__def_0) ).

cnf(cls_A__trusts__NS2_0,axiom,
    ( hBOOL(c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X1,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X1),c_Message_Omsg_OMPair(X2,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X3),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X4),X5))))),c_List_Oset(X6,tc_Event_Oevent),tc_Event_Oevent))
    | hBOOL(c_in(X1,c_Event_Obad,tc_Message_Oagent))
    | ~ hBOOL(c_in(X6,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)))
    | ~ hBOOL(c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X1),c_Message_Omsg_OMPair(X2,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X3),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X4),X5)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X6)),tc_Message_Omsg)) ),
    file('/export/starexec/sandbox2/tmp/tmp.42Kklazqqa/E---3.1_11291.p',cls_A__trusts__NS2_0) ).

cnf(cls_mem__def_1,axiom,
    ( hBOOL(c_in(X1,X2,X3))
    | ~ hBOOL(hAPP(X2,X1)) ),
    file('/export/starexec/sandbox2/tmp/tmp.42Kklazqqa/E---3.1_11291.p',cls_mem__def_1) ).

cnf(cls_conjecture_3,negated_conjecture,
    ~ hBOOL(c_in(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg)),
    file('/export/starexec/sandbox2/tmp/tmp.42Kklazqqa/E---3.1_11291.p',cls_conjecture_3) ).

cnf(cls_conjecture_5,negated_conjecture,
    hBOOL(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,v_evs)),tc_Message_Omsg)),
    file('/export/starexec/sandbox2/tmp/tmp.42Kklazqqa/E---3.1_11291.p',cls_conjecture_5) ).

cnf(cls_conjecture_6,negated_conjecture,
    ~ hBOOL(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_evs,tc_Event_Oevent),tc_Event_Oevent)),
    file('/export/starexec/sandbox2/tmp/tmp.42Kklazqqa/E---3.1_11291.p',cls_conjecture_6) ).

cnf(c_0_12,plain,
    ( X1 = c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X2),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X3),c_Message_Omsg_OAgent(X4)))
    | hBOOL(c_in(X4,c_Event_Obad,tc_Message_Oagent))
    | ~ hBOOL(c_in(X5,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)))
    | ~ hBOOL(c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X4),c_Message_Omsg_OMPair(X6,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X2),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X3),X1)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X5)),tc_Message_Omsg)) ),
    inference(fof_simplification,[status(thm)],[cls_cert__A__form_1]) ).

cnf(c_0_13,negated_conjecture,
    ~ hBOOL(c_in(v_A,c_Event_Obad,tc_Message_Oagent)),
    inference(fof_simplification,[status(thm)],[cls_conjecture_0]) ).

cnf(c_0_14,plain,
    ( hBOOL(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))
    | hBOOL(c_in(hAPP(c_Message_Omsg_OKey,X3),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X5)),tc_Message_Omsg))
    | hBOOL(c_in(X2,c_Event_Obad,tc_Message_Oagent))
    | ~ hBOOL(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))
    | ~ hBOOL(c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X1,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X1),c_Message_Omsg_OMPair(X6,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X2),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X3),c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X2),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X3),c_Message_Omsg_OAgent(X1)))))))),c_List_Oset(X5,tc_Event_Oevent),tc_Event_Oevent))
    | ~ hBOOL(c_in(X5,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))) ),
    inference(fof_simplification,[status(thm)],[cls_B__trusts__NS5__lemma_0]) ).

cnf(c_0_15,plain,
    ( X1 = c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X2),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X3),c_Message_Omsg_OAgent(X4)))
    | hBOOL(c_in(X4,c_Event_Obad,tc_Message_Oagent))
    | ~ hBOOL(c_in(X5,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)))
    | ~ hBOOL(c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X4),c_Message_Omsg_OMPair(X6,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X2),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X3),X1)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X5)),tc_Message_Omsg)) ),
    c_0_12 ).

cnf(c_0_16,negated_conjecture,
    hBOOL(c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_A),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_K),v_X)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg)),
    cls_conjecture_4 ).

cnf(c_0_17,negated_conjecture,
    hBOOL(c_in(v_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))),
    cls_conjecture_2 ).

cnf(c_0_18,negated_conjecture,
    ~ hBOOL(c_in(v_A,c_Event_Obad,tc_Message_Oagent)),
    c_0_13 ).

cnf(c_0_19,negated_conjecture,
    ~ hBOOL(c_in(v_B,c_Event_Obad,tc_Message_Oagent)),
    inference(fof_simplification,[status(thm)],[cls_conjecture_1]) ).

cnf(c_0_20,plain,
    ( hBOOL(hAPP(X1,X2))
    | ~ hBOOL(c_in(X2,X1,X3)) ),
    inference(fof_simplification,[status(thm)],[cls_mem__def_0]) ).

cnf(c_0_21,plain,
    ( hBOOL(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))
    | hBOOL(c_in(hAPP(c_Message_Omsg_OKey,X3),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X5)),tc_Message_Omsg))
    | hBOOL(c_in(X2,c_Event_Obad,tc_Message_Oagent))
    | ~ hBOOL(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))
    | ~ hBOOL(c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X1,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X1),c_Message_Omsg_OMPair(X6,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X2),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X3),c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X2),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X3),c_Message_Omsg_OAgent(X1)))))))),c_List_Oset(X5,tc_Event_Oevent),tc_Event_Oevent))
    | ~ hBOOL(c_in(X5,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))) ),
    c_0_14 ).

cnf(c_0_22,negated_conjecture,
    c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Omsg_OAgent(v_A))) = v_X,
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_15,c_0_16]),c_0_17])]),c_0_18]) ).

cnf(c_0_23,negated_conjecture,
    ~ hBOOL(c_in(v_B,c_Event_Obad,tc_Message_Oagent)),
    c_0_19 ).

cnf(c_0_24,plain,
    ( hBOOL(c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X1,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X1),c_Message_Omsg_OMPair(X2,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X3),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X4),X5))))),c_List_Oset(X6,tc_Event_Oevent),tc_Event_Oevent))
    | hBOOL(c_in(X1,c_Event_Obad,tc_Message_Oagent))
    | ~ hBOOL(c_in(X6,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)))
    | ~ hBOOL(c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X1),c_Message_Omsg_OMPair(X2,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X3),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X4),X5)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X6)),tc_Message_Omsg)) ),
    inference(fof_simplification,[status(thm)],[cls_A__trusts__NS2_0]) ).

cnf(c_0_25,plain,
    ( hBOOL(c_in(X1,X2,X3))
    | ~ hBOOL(hAPP(X2,X1)) ),
    inference(fof_simplification,[status(thm)],[cls_mem__def_1]) ).

cnf(c_0_26,plain,
    ( hBOOL(hAPP(X1,X2))
    | ~ hBOOL(c_in(X2,X1,X3)) ),
    c_0_20 ).

cnf(c_0_27,negated_conjecture,
    ( hBOOL(c_in(c_Event_Oevent_OSays(v_A,v_B,c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X1),c_Message_Omsg_ONonce(X1)))),c_List_Oset(X2,tc_Event_Oevent),tc_Event_Oevent))
    | hBOOL(c_in(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X2)),tc_Message_Omsg))
    | ~ hBOOL(c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,v_A,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_A),c_Message_Omsg_OMPair(X3,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_K),v_X))))),c_List_Oset(X2,tc_Event_Oevent),tc_Event_Oevent))
    | ~ hBOOL(c_in(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X1),c_Message_Omsg_ONonce(X1))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X2)),tc_Message_Omsg))
    | ~ hBOOL(c_in(X2,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_22]),c_0_23]) ).

cnf(c_0_28,plain,
    ( hBOOL(c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X1,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X1),c_Message_Omsg_OMPair(X2,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X3),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X4),X5))))),c_List_Oset(X6,tc_Event_Oevent),tc_Event_Oevent))
    | hBOOL(c_in(X1,c_Event_Obad,tc_Message_Oagent))
    | ~ hBOOL(c_in(X6,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)))
    | ~ hBOOL(c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X1),c_Message_Omsg_OMPair(X2,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X3),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X4),X5)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X6)),tc_Message_Omsg)) ),
    c_0_24 ).

cnf(c_0_29,plain,
    ( hBOOL(c_in(X1,X2,X3))
    | ~ hBOOL(hAPP(X2,X1)) ),
    c_0_25 ).

cnf(c_0_30,negated_conjecture,
    hBOOL(hAPP(c_NS__Shared__Mirabelle_Ons__shared,v_evs)),
    inference(spm,[status(thm)],[c_0_26,c_0_17]) ).

cnf(c_0_31,negated_conjecture,
    ~ hBOOL(c_in(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg)),
    inference(fof_simplification,[status(thm)],[cls_conjecture_3]) ).

cnf(c_0_32,negated_conjecture,
    hBOOL(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,v_evs)),tc_Message_Omsg)),
    cls_conjecture_5 ).

cnf(c_0_33,negated_conjecture,
    ~ hBOOL(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_evs,tc_Event_Oevent),tc_Event_Oevent)),
    inference(fof_simplification,[status(thm)],[cls_conjecture_6]) ).

cnf(c_0_34,negated_conjecture,
    ( hBOOL(c_in(c_Event_Oevent_OSays(v_A,v_B,c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X1),c_Message_Omsg_ONonce(X1)))),c_List_Oset(X2,tc_Event_Oevent),tc_Event_Oevent))
    | hBOOL(c_in(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X2)),tc_Message_Omsg))
    | ~ hBOOL(c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_A),c_Message_Omsg_OMPair(X3,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_K),v_X)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X2)),tc_Message_Omsg))
    | ~ hBOOL(c_in(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X1),c_Message_Omsg_ONonce(X1))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X2)),tc_Message_Omsg))
    | ~ hBOOL(c_in(X2,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_28]),c_0_18]) ).

cnf(c_0_35,negated_conjecture,
    hBOOL(c_in(v_evs,c_NS__Shared__Mirabelle_Ons__shared,X1)),
    inference(spm,[status(thm)],[c_0_29,c_0_30]) ).

cnf(c_0_36,negated_conjecture,
    ~ hBOOL(c_in(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg)),
    c_0_31 ).

cnf(c_0_37,negated_conjecture,
    hBOOL(hAPP(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB))))),
    inference(spm,[status(thm)],[c_0_26,c_0_32]) ).

cnf(c_0_38,negated_conjecture,
    ~ hBOOL(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_evs,tc_Event_Oevent),tc_Event_Oevent)),
    c_0_33 ).

cnf(c_0_39,negated_conjecture,
    ( hBOOL(c_in(c_Event_Oevent_OSays(v_A,v_B,c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X1),c_Message_Omsg_ONonce(X1)))),c_List_Oset(v_evs,tc_Event_Oevent),tc_Event_Oevent))
    | ~ hBOOL(c_in(c_Message_Omsg_OCrypt(v_K,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_evs)),tc_Message_Omsg)) ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_16]),c_0_35])]),c_0_36]) ).

cnf(c_0_40,negated_conjecture,
    hBOOL(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,v_evs)),X1)),
    inference(spm,[status(thm)],[c_0_29,c_0_37]) ).

cnf(c_0_41,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_39]),c_0_40])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.14  % Problem    : SWV798-1 : TPTP v8.1.2. Released v4.1.0.
% 0.11/0.16  % Command    : run_E %s %d THM
% 0.13/0.38  % Computer : n023.cluster.edu
% 0.13/0.38  % Model    : x86_64 x86_64
% 0.13/0.38  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.38  % Memory   : 8042.1875MB
% 0.13/0.38  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.38  % CPULimit   : 300
% 0.13/0.38  % WCLimit    : 300
% 0.13/0.38  % DateTime   : Fri May  3 16:37:08 EDT 2024
% 0.13/0.38  % CPUTime    : 
% 0.35/0.56  Running first-order model finding
% 0.35/0.56  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.42Kklazqqa/E---3.1_11291.p
% 6.03/1.33  # Version: 3.1.0
% 6.03/1.33  # Preprocessing class: FSLSSMSMSSSNFFN.
% 6.03/1.33  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 6.03/1.33  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 6.03/1.33  # Starting new_bool_3 with 300s (1) cores
% 6.03/1.33  # Starting new_bool_1 with 300s (1) cores
% 6.03/1.33  # Starting sh5l with 300s (1) cores
% 6.03/1.33  # C07_19_nc_SOS_SAT001_MinMin_p005000_rr with pid 11369 completed with status 0
% 6.03/1.33  # Result found by C07_19_nc_SOS_SAT001_MinMin_p005000_rr
% 6.03/1.33  # Preprocessing class: FSLSSMSMSSSNFFN.
% 6.03/1.33  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 6.03/1.33  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 6.03/1.33  # No SInE strategy applied
% 6.03/1.33  # Search class: FGHSM-FSLM32-DFFFFFNN
% 6.03/1.33  # Scheduled 13 strats onto 5 cores with 1500 seconds (1500 total)
% 6.03/1.33  # Starting G-E--_301_C18_F1_URBAN_S5PRR_S0Y with 113s (1) cores
% 6.03/1.33  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 151s (1) cores
% 6.03/1.33  # Starting G-E--_300_C18_F1_SE_CS_SP_PS_S0Y with 113s (1) cores
% 6.03/1.33  # Starting U----_206c_05_B11_00_F1_SE_PI_CS_SP_PS_S5PRR_RG_S04AN with 113s (1) cores
% 6.03/1.33  # Starting G-E--_208_B07_F1_AE_CS_SP_PS_S5PRR_S0Y with 113s (1) cores
% 6.03/1.33  # G-E--_301_C18_F1_URBAN_S5PRR_S0Y with pid 11375 completed with status 0
% 6.03/1.33  # Result found by G-E--_301_C18_F1_URBAN_S5PRR_S0Y
% 6.03/1.33  # Preprocessing class: FSLSSMSMSSSNFFN.
% 6.03/1.33  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 6.03/1.33  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 6.03/1.33  # No SInE strategy applied
% 6.03/1.33  # Search class: FGHSM-FSLM32-DFFFFFNN
% 6.03/1.33  # Scheduled 13 strats onto 5 cores with 1500 seconds (1500 total)
% 6.03/1.33  # Starting G-E--_301_C18_F1_URBAN_S5PRR_S0Y with 113s (1) cores
% 6.03/1.33  # Preprocessing time       : 0.063 s
% 6.03/1.33  
% 6.03/1.33  # Proof found!
% 6.03/1.33  # SZS status Unsatisfiable
% 6.03/1.33  # SZS output start CNFRefutation
% See solution above
% 6.03/1.33  # Parsed axioms                        : 622
% 6.03/1.33  # Removed by relevancy pruning/SinE    : 0
% 6.03/1.33  # Initial clauses                      : 622
% 6.03/1.33  # Removed in clause preprocessing      : 4
% 6.03/1.33  # Initial clauses in saturation        : 618
% 6.03/1.33  # Processed clauses                    : 3081
% 6.03/1.33  # ...of these trivial                  : 173
% 6.03/1.33  # ...subsumed                          : 1536
% 6.03/1.33  # ...remaining for further processing  : 1372
% 6.03/1.33  # Other redundant clauses eliminated   : 11
% 6.03/1.33  # Clauses deleted for lack of memory   : 0
% 6.03/1.33  # Backward-subsumed                    : 90
% 6.03/1.33  # Backward-rewritten                   : 79
% 6.03/1.33  # Generated clauses                    : 22578
% 6.03/1.33  # ...of the previous two non-redundant : 18189
% 6.03/1.33  # ...aggressively subsumed             : 0
% 6.03/1.33  # Contextual simplify-reflections      : 3
% 6.03/1.33  # Paramodulations                      : 22521
% 6.03/1.33  # Factorizations                       : 2
% 6.03/1.33  # NegExts                              : 0
% 6.03/1.33  # Equation resolutions                 : 55
% 6.03/1.33  # Disequality decompositions           : 0
% 6.03/1.33  # Total rewrite steps                  : 13496
% 6.03/1.33  # ...of those cached                   : 11465
% 6.03/1.33  # Propositional unsat checks           : 0
% 6.03/1.33  #    Propositional check models        : 0
% 6.03/1.33  #    Propositional check unsatisfiable : 0
% 6.03/1.33  #    Propositional clauses             : 0
% 6.03/1.33  #    Propositional clauses after purity: 0
% 6.03/1.33  #    Propositional unsat core size     : 0
% 6.03/1.33  #    Propositional preprocessing time  : 0.000
% 6.03/1.33  #    Propositional encoding time       : 0.000
% 6.03/1.33  #    Propositional solver time         : 0.000
% 6.03/1.33  #    Success case prop preproc time    : 0.000
% 6.03/1.33  #    Success case prop encoding time   : 0.000
% 6.03/1.33  #    Success case prop solver time     : 0.000
% 6.03/1.33  # Current number of processed clauses  : 1203
% 6.03/1.33  #    Positive orientable unit clauses  : 277
% 6.03/1.33  #    Positive unorientable unit clauses: 8
% 6.03/1.33  #    Negative unit clauses             : 107
% 6.03/1.33  #    Non-unit-clauses                  : 811
% 6.03/1.33  # Current number of unprocessed clauses: 15513
% 6.03/1.33  # ...number of literals in the above   : 36862
% 6.03/1.33  # Current number of archived formulas  : 0
% 6.03/1.33  # Current number of archived clauses   : 171
% 6.03/1.33  # Clause-clause subsumption calls (NU) : 186233
% 6.03/1.33  # Rec. Clause-clause subsumption calls : 113620
% 6.03/1.33  # Non-unit clause-clause subsumptions  : 1156
% 6.03/1.33  # Unit Clause-clause subsumption calls : 11512
% 6.03/1.33  # Rewrite failures with RHS unbound    : 17
% 6.03/1.33  # BW rewrite match attempts            : 2012
% 6.03/1.33  # BW rewrite match successes           : 96
% 6.03/1.33  # Condensation attempts                : 0
% 6.03/1.33  # Condensation successes               : 0
% 6.03/1.33  # Termbank termtop insertions          : 503829
% 6.03/1.33  # Search garbage collected termcells   : 1098
% 6.03/1.33  
% 6.03/1.33  # -------------------------------------------------
% 6.03/1.33  # User time                : 0.681 s
% 6.03/1.33  # System time              : 0.044 s
% 6.03/1.33  # Total time               : 0.724 s
% 6.03/1.33  # Maximum resident set size: 2996 pages
% 6.03/1.33  
% 6.03/1.33  # -------------------------------------------------
% 6.03/1.33  # User time                : 3.498 s
% 6.03/1.33  # System time              : 0.125 s
% 6.03/1.33  # Total time               : 3.622 s
% 6.03/1.33  # Maximum resident set size: 2220 pages
% 6.03/1.33  % E---3.1 exiting
%------------------------------------------------------------------------------