TSTP Solution File: SWV348-2 by E---3.1.00

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E---3.1.00
% Problem  : SWV348-2 : TPTP v8.1.2. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n029.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 09:43:51 EDT 2024

% Result   : Unsatisfiable 0.17s 0.46s
% Output   : CNFRefutation 0.17s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   12
%            Number of leaves      :   20
% Syntax   : Number of clauses     :   72 (  28 unt;  14 nHn;  70 RR)
%            Number of literals    :  170 (  12 equ;  91 neg)
%            Maximal clause size   :    6 (   2 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   :  222 (  85 sgn)

% Comments : 
%------------------------------------------------------------------------------
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/sandbox/tmp/tmp.haamqTf9iT/E---3.1_26512.p',cls_Yahalom_OGets__imp__analz__Spy__dest_0) ).

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/sandbox/tmp/tmp.haamqTf9iT/E---3.1_26512.p',cls_Message_OMPair__analz_1) ).

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/sandbox/tmp/tmp.haamqTf9iT/E---3.1_26512.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/sandbox/tmp/tmp.haamqTf9iT/E---3.1_26512.p',cls_conjecture_2) ).

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/sandbox/tmp/tmp.haamqTf9iT/E---3.1_26512.p',cls_Public_Oanalz__shrK__Decrypt_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/sandbox/tmp/tmp.haamqTf9iT/E---3.1_26512.p',cls_Message_OMPair__analz_0) ).

cnf(cls_Message_OMPair__parts_1,axiom,
    ( c_in(X1,c_Message_Oparts(X3),tc_Message_Omsg)
    | ~ c_in(c_Message_Omsg_OMPair(X1,X2),c_Message_Oparts(X3),tc_Message_Omsg) ),
    file('/export/starexec/sandbox/tmp/tmp.haamqTf9iT/E---3.1_26512.p',cls_Message_OMPair__parts_1) ).

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/sandbox/tmp/tmp.haamqTf9iT/E---3.1_26512.p',cls_Message_Oparts_OInj_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/sandbox/tmp/tmp.haamqTf9iT/E---3.1_26512.p',cls_conjecture_10) ).

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/sandbox/tmp/tmp.haamqTf9iT/E---3.1_26512.p',cls_Yahalom_OSays__Server__imp__YM2_0) ).

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/sandbox/tmp/tmp.haamqTf9iT/E---3.1_26512.p',cls_Yahalom_OA__trusts__YM3_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/sandbox/tmp/tmp.haamqTf9iT/E---3.1_26512.p',cls_Yahalom_OSpy__analz__shrK_1) ).

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/sandbox/tmp/tmp.haamqTf9iT/E---3.1_26512.p',cls_Yahalom_OSays__unique__NB_0) ).

cnf(cls_Message_Oparts__analz_0,axiom,
    c_Message_Oparts(c_Message_Oanalz(X1)) = c_Message_Oparts(X1),
    file('/export/starexec/sandbox/tmp/tmp.haamqTf9iT/E---3.1_26512.p',cls_Message_Oparts__analz_0) ).

cnf(cls_Yahalom_OSays__unique__NB_2,axiom,
    ( c_in(X7,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X1)),tc_Message_Omsg)
    | X4 = X11
    | ~ 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/sandbox/tmp/tmp.haamqTf9iT/E---3.1_26512.p',cls_Yahalom_OSays__unique__NB_2) ).

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/sandbox/tmp/tmp.haamqTf9iT/E---3.1_26512.p',cls_Yahalom_OSpy__not__see__encrypted__key_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/sandbox/tmp/tmp.haamqTf9iT/E---3.1_26512.p',cls_conjecture_9) ).

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/sandbox/tmp/tmp.haamqTf9iT/E---3.1_26512.p',cls_conjecture_8) ).

cnf(cls_conjecture_1,negated_conjecture,
    ~ c_in(v_B,c_Event_Obad,tc_Message_Oagent),
    file('/export/starexec/sandbox/tmp/tmp.haamqTf9iT/E---3.1_26512.p',cls_conjecture_1) ).

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/sandbox/tmp/tmp.haamqTf9iT/E---3.1_26512.p',cls_conjecture_11) ).

cnf(c_0_20,plain,
    ( 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) ),
    inference(fof_simplification,[status(thm)],[cls_Yahalom_OGets__imp__analz__Spy__dest_0]) ).

cnf(c_0_21,plain,
    ( 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) ),
    inference(fof_simplification,[status(thm)],[cls_Message_OMPair__analz_1]) ).

cnf(c_0_22,plain,
    ( 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) ),
    c_0_20 ).

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(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) ),
    inference(fof_simplification,[status(thm)],[cls_Public_Oanalz__shrK__Decrypt_0]) ).

cnf(c_0_26,plain,
    ( 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) ),
    c_0_21 ).

cnf(c_0_27,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_28,plain,
    ( 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) ),
    inference(fof_simplification,[status(thm)],[cls_Message_OMPair__analz_0]) ).

cnf(c_0_29,plain,
    ( 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) ),
    c_0_25 ).

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(spm,[status(thm)],[c_0_26,c_0_27]) ).

cnf(c_0_31,plain,
    ( 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) ),
    c_0_28 ).

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,plain,
    ( c_in(X1,c_Message_Oparts(X3),tc_Message_Omsg)
    | ~ c_in(c_Message_Omsg_OMPair(X1,X2),c_Message_Oparts(X3),tc_Message_Omsg) ),
    inference(fof_simplification,[status(thm)],[cls_Message_OMPair__parts_1]) ).

cnf(c_0_34,plain,
    ( c_in(X1,c_Message_Oparts(X2),tc_Message_Omsg)
    | ~ c_in(X1,X2,tc_Message_Omsg) ),
    inference(fof_simplification,[status(thm)],[cls_Message_Oparts_OInj_0]) ).

cnf(c_0_35,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(spm,[status(thm)],[c_0_31,c_0_32]) ).

cnf(c_0_36,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),
    inference(fof_simplification,[status(thm)],[cls_conjecture_10]) ).

cnf(c_0_37,plain,
    ( 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) ),
    inference(fof_simplification,[status(thm)],[cls_Yahalom_OSays__Server__imp__YM2_0]) ).

cnf(c_0_38,plain,
    ( 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) ),
    inference(fof_simplification,[status(thm)],[cls_Yahalom_OA__trusts__YM3_0]) ).

cnf(c_0_39,plain,
    ( c_in(X1,c_Message_Oparts(X3),tc_Message_Omsg)
    | ~ c_in(c_Message_Omsg_OMPair(X1,X2),c_Message_Oparts(X3),tc_Message_Omsg) ),
    c_0_33 ).

cnf(c_0_40,plain,
    ( c_in(X1,c_Message_Oparts(X2),tc_Message_Omsg)
    | ~ c_in(X1,X2,tc_Message_Omsg) ),
    c_0_34 ).

cnf(c_0_41,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(spm,[status(thm)],[c_0_31,c_0_35]) ).

cnf(c_0_42,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),
    c_0_36 ).

cnf(c_0_43,plain,
    ( 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)) ),
    inference(fof_simplification,[status(thm)],[cls_Yahalom_OSpy__analz__shrK_1]) ).

cnf(c_0_44,plain,
    ( 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) ),
    inference(fof_simplification,[status(thm)],[cls_Yahalom_OSays__unique__NB_0]) ).

cnf(c_0_45,plain,
    ( 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) ),
    c_0_37 ).

cnf(c_0_46,plain,
    ( 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) ),
    c_0_38 ).

cnf(c_0_47,plain,
    ( c_in(X1,c_Message_Oparts(X2),tc_Message_Omsg)
    | ~ c_in(c_Message_Omsg_OMPair(X1,X3),X2,tc_Message_Omsg) ),
    inference(spm,[status(thm)],[c_0_39,c_0_40]) ).

cnf(c_0_48,axiom,
    c_Message_Oparts(c_Message_Oanalz(X1)) = c_Message_Oparts(X1),
    cls_Message_Oparts__analz_0 ).

cnf(c_0_49,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(spm,[status(thm)],[c_0_31,c_0_41]),c_0_42]) ).

cnf(c_0_50,plain,
    ( 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)) ),
    c_0_43 ).

cnf(c_0_51,plain,
    ( c_in(X7,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X1)),tc_Message_Omsg)
    | X4 = X11
    | ~ 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) ),
    inference(fof_simplification,[status(thm)],[cls_Yahalom_OSays__unique__NB_2]) ).

cnf(c_0_52,plain,
    ( 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) ),
    inference(fof_simplification,[status(thm)],[cls_Yahalom_OSpy__not__see__encrypted__key_0]) ).

cnf(c_0_53,plain,
    ( 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) ),
    c_0_44 ).

cnf(c_0_54,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_55,plain,
    ( c_in(c_Event_Oevent_OGets(c_Message_Oagent_OServer,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X1),c_Message_Omsg_OCrypt(c_Public_OshrK(X1),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X2),c_Message_Omsg_OMPair(X3,X4))))),c_List_Oset(X5,tc_Event_Oevent),tc_Event_Oevent)
    | c_in(X2,c_Event_Obad,tc_Message_Oagent)
    | ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(X2),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X1),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(X6),c_Message_Omsg_OMPair(X3,X4)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X5)),tc_Message_Omsg)
    | ~ c_in(X5,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent)) ),
    inference(spm,[status(thm)],[c_0_45,c_0_46]) ).

cnf(c_0_56,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_47,c_0_27]),c_0_48]) ).

cnf(c_0_57,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_49,c_0_50]),c_0_24])]) ).

cnf(c_0_58,plain,
    ( c_in(X7,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X1)),tc_Message_Omsg)
    | X4 = X11
    | ~ 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) ),
    c_0_51 ).

cnf(c_0_59,plain,
    ( 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) ),
    c_0_52 ).

cnf(c_0_60,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_53,c_0_54]),c_0_24])]),c_0_42]) ).

cnf(c_0_61,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(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_56]),c_0_24])]),c_0_57]) ).

cnf(c_0_62,negated_conjecture,
    ( X1 = v_B
    | ~ c_in(c_Event_Oevent_OGets(X2,c_Message_Omsg_OMPair(X3,c_Message_Omsg_OCrypt(c_Public_OshrK(X1),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X4),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X5),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_58,c_0_54]),c_0_24])]),c_0_42]) ).

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_NA),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),X1))),c_List_Oset(v_evs4,tc_Event_Oevent),tc_Event_Oevent),
    inference(fof_simplification,[status(thm)],[cls_conjecture_8]) ).

cnf(c_0_64,negated_conjecture,
    ~ c_in(v_B,c_Event_Obad,tc_Message_Oagent),
    inference(fof_simplification,[status(thm)],[cls_conjecture_1]) ).

cnf(c_0_65,plain,
    ( c_in(c_Event_Oevent_ONotes(c_Message_Oagent_OSpy,c_Message_Omsg_OMPair(X1,c_Message_Omsg_OMPair(X2,c_Message_Omsg_OKey(X3)))),c_List_Oset(X4,tc_Event_Oevent),tc_Event_Oevent)
    | c_in(X5,c_Event_Obad,tc_Message_Oagent)
    | c_in(X6,c_Event_Obad,tc_Message_Oagent)
    | ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(X5),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X6),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(X3),c_Message_Omsg_OMPair(X1,X2)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X4)),tc_Message_Omsg)
    | ~ c_in(c_Message_Omsg_OKey(X3),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X4)),tc_Message_Omsg)
    | ~ c_in(X4,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent)) ),
    inference(spm,[status(thm)],[c_0_59,c_0_46]) ).

cnf(c_0_66,negated_conjecture,
    v_NAa = v_NA,
    inference(spm,[status(thm)],[c_0_60,c_0_61]) ).

cnf(c_0_67,negated_conjecture,
    v_Ba = v_B,
    inference(spm,[status(thm)],[c_0_62,c_0_61]) ).

cnf(c_0_68,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_69,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),
    c_0_63 ).

cnf(c_0_70,negated_conjecture,
    ~ c_in(v_B,c_Event_Obad,tc_Message_Oagent),
    c_0_64 ).

cnf(c_0_71,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[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_65,c_0_56]),c_0_66]),c_0_67]),c_0_68]),c_0_24])]),c_0_69]),c_0_57]),c_0_70]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11  % Problem    : SWV348-2 : TPTP v8.1.2. Released v3.2.0.
% 0.06/0.12  % Command    : run_E %s %d THM
% 0.12/0.32  % Computer : n029.cluster.edu
% 0.12/0.32  % Model    : x86_64 x86_64
% 0.12/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32  % Memory   : 8042.1875MB
% 0.12/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32  % CPULimit   : 300
% 0.12/0.32  % WCLimit    : 300
% 0.12/0.32  % DateTime   : Fri May  3 17:10:37 EDT 2024
% 0.12/0.33  % CPUTime    : 
% 0.17/0.45  Running first-order theorem proving
% 0.17/0.45  Running: /export/starexec/sandbox/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox/tmp/tmp.haamqTf9iT/E---3.1_26512.p
% 0.17/0.46  # Version: 3.1.0
% 0.17/0.46  # Preprocessing class: FSMSSMSMSSSNFFN.
% 0.17/0.46  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.17/0.46  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 1500s (5) cores
% 0.17/0.46  # Starting new_bool_3 with 300s (1) cores
% 0.17/0.46  # Starting new_bool_1 with 300s (1) cores
% 0.17/0.46  # Starting sh5l with 300s (1) cores
% 0.17/0.46  # sh5l with pid 26594 completed with status 0
% 0.17/0.46  # Result found by sh5l
% 0.17/0.46  # Preprocessing class: FSMSSMSMSSSNFFN.
% 0.17/0.46  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.17/0.46  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 1500s (5) cores
% 0.17/0.46  # Starting new_bool_3 with 300s (1) cores
% 0.17/0.46  # Starting new_bool_1 with 300s (1) cores
% 0.17/0.46  # Starting sh5l with 300s (1) cores
% 0.17/0.46  # SinE strategy is gf500_gu_R04_F100_L20000
% 0.17/0.46  # Search class: FGUSF-FFMS31-DFFFFFNN
% 0.17/0.46  # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.17/0.46  # Starting SAT001_MinMin_p005000_rr_RG with 181s (1) cores
% 0.17/0.46  # SAT001_MinMin_p005000_rr_RG with pid 26602 completed with status 0
% 0.17/0.46  # Result found by SAT001_MinMin_p005000_rr_RG
% 0.17/0.46  # Preprocessing class: FSMSSMSMSSSNFFN.
% 0.17/0.46  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.17/0.46  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 1500s (5) cores
% 0.17/0.46  # Starting new_bool_3 with 300s (1) cores
% 0.17/0.46  # Starting new_bool_1 with 300s (1) cores
% 0.17/0.46  # Starting sh5l with 300s (1) cores
% 0.17/0.46  # SinE strategy is gf500_gu_R04_F100_L20000
% 0.17/0.46  # Search class: FGUSF-FFMS31-DFFFFFNN
% 0.17/0.46  # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.17/0.46  # Starting SAT001_MinMin_p005000_rr_RG with 181s (1) cores
% 0.17/0.46  # Preprocessing time       : 0.001 s
% 0.17/0.46  # Presaturation interreduction done
% 0.17/0.46  
% 0.17/0.46  # Proof found!
% 0.17/0.46  # SZS status Unsatisfiable
% 0.17/0.46  # SZS output start CNFRefutation
% See solution above
% 0.17/0.46  # Parsed axioms                        : 20
% 0.17/0.46  # Removed by relevancy pruning/SinE    : 0
% 0.17/0.46  # Initial clauses                      : 20
% 0.17/0.46  # Removed in clause preprocessing      : 0
% 0.17/0.46  # Initial clauses in saturation        : 20
% 0.17/0.46  # Processed clauses                    : 83
% 0.17/0.46  # ...of these trivial                  : 3
% 0.17/0.46  # ...subsumed                          : 1
% 0.17/0.46  # ...remaining for further processing  : 79
% 0.17/0.46  # Other redundant clauses eliminated   : 0
% 0.17/0.46  # Clauses deleted for lack of memory   : 0
% 0.17/0.46  # Backward-subsumed                    : 6
% 0.17/0.46  # Backward-rewritten                   : 0
% 0.17/0.46  # Generated clauses                    : 93
% 0.17/0.46  # ...of the previous two non-redundant : 91
% 0.17/0.46  # ...aggressively subsumed             : 0
% 0.17/0.46  # Contextual simplify-reflections      : 0
% 0.17/0.46  # Paramodulations                      : 93
% 0.17/0.46  # Factorizations                       : 0
% 0.17/0.46  # NegExts                              : 0
% 0.17/0.46  # Equation resolutions                 : 0
% 0.17/0.46  # Disequality decompositions           : 0
% 0.17/0.46  # Total rewrite steps                  : 41
% 0.17/0.46  # ...of those cached                   : 33
% 0.17/0.46  # Propositional unsat checks           : 0
% 0.17/0.46  #    Propositional check models        : 0
% 0.17/0.46  #    Propositional check unsatisfiable : 0
% 0.17/0.46  #    Propositional clauses             : 0
% 0.17/0.46  #    Propositional clauses after purity: 0
% 0.17/0.46  #    Propositional unsat core size     : 0
% 0.17/0.46  #    Propositional preprocessing time  : 0.000
% 0.17/0.46  #    Propositional encoding time       : 0.000
% 0.17/0.46  #    Propositional solver time         : 0.000
% 0.17/0.46  #    Success case prop preproc time    : 0.000
% 0.17/0.46  #    Success case prop encoding time   : 0.000
% 0.17/0.46  #    Success case prop solver time     : 0.000
% 0.17/0.46  # Current number of processed clauses  : 53
% 0.17/0.46  #    Positive orientable unit clauses  : 18
% 0.17/0.46  #    Positive unorientable unit clauses: 0
% 0.17/0.46  #    Negative unit clauses             : 5
% 0.17/0.46  #    Non-unit-clauses                  : 30
% 0.17/0.46  # Current number of unprocessed clauses: 38
% 0.17/0.46  # ...number of literals in the above   : 61
% 0.17/0.46  # Current number of archived formulas  : 0
% 0.17/0.46  # Current number of archived clauses   : 26
% 0.17/0.46  # Clause-clause subsumption calls (NU) : 451
% 0.17/0.46  # Rec. Clause-clause subsumption calls : 213
% 0.17/0.46  # Non-unit clause-clause subsumptions  : 1
% 0.17/0.46  # Unit Clause-clause subsumption calls : 69
% 0.17/0.46  # Rewrite failures with RHS unbound    : 0
% 0.17/0.46  # BW rewrite match attempts            : 3
% 0.17/0.46  # BW rewrite match successes           : 0
% 0.17/0.46  # Condensation attempts                : 0
% 0.17/0.46  # Condensation successes               : 0
% 0.17/0.46  # Termbank termtop insertions          : 4073
% 0.17/0.46  # Search garbage collected termcells   : 58
% 0.17/0.46  
% 0.17/0.46  # -------------------------------------------------
% 0.17/0.46  # User time                : 0.003 s
% 0.17/0.46  # System time              : 0.006 s
% 0.17/0.46  # Total time               : 0.010 s
% 0.17/0.46  # Maximum resident set size: 1848 pages
% 0.17/0.46  
% 0.17/0.46  # -------------------------------------------------
% 0.17/0.46  # User time                : 0.006 s
% 0.17/0.46  # System time              : 0.007 s
% 0.17/0.46  # Total time               : 0.013 s
% 0.17/0.46  # Maximum resident set size: 1756 pages
% 0.17/0.46  % E---3.1 exiting
% 0.17/0.46  % E exiting
%------------------------------------------------------------------------------