TSTP Solution File: SWV311-1 by E---3.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E---3.1
% Problem  : SWV311-1 : TPTP v8.1.2. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n031.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 19:44:10 EDT 2023

% Result   : Unsatisfiable 30.99s 4.61s
% Output   : CNFRefutation 30.99s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :   17
% Syntax   : Number of clauses     :   51 (  27 unt;   5 nHn;  45 RR)
%            Number of literals    :   84 (   9 equ;  34 neg)
%            Maximal clause size   :    4 (   1 avg)
%            Maximal term depth    :   11 (   2 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-3 aty)
%            Number of functors    :   31 (  31 usr;  15 con; 0-5 aty)
%            Number of variables   :   76 (  11 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(cls_Message_Oanalz__analzD__dest_0,axiom,
    ( c_in(X1,c_Message_Oanalz(X2),tc_Message_Omsg)
    | ~ c_in(X1,c_Message_Oanalz(c_Message_Oanalz(X2)),tc_Message_Omsg) ),
    file('/export/starexec/sandbox/tmp/tmp.7zN4eZv847/E---3.1_20143.p',cls_Message_Oanalz__analzD__dest_0) ).

cnf(cls_Set_OsubsetI_0,axiom,
    ( c_in(c_Main_OsubsetI__1(X1,X2,X3),X1,X3)
    | c_lessequals(X1,X2,tc_set(X3)) ),
    file('/export/starexec/sandbox/tmp/tmp.7zN4eZv847/E---3.1_20143.p',cls_Set_OsubsetI_0) ).

cnf(cls_Set_OsubsetI_1,axiom,
    ( c_lessequals(X1,X2,tc_set(X3))
    | ~ c_in(c_Main_OsubsetI__1(X1,X2,X3),X2,X3) ),
    file('/export/starexec/sandbox/tmp/tmp.7zN4eZv847/E---3.1_20143.p',cls_Set_OsubsetI_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/sandbox/tmp/tmp.7zN4eZv847/E---3.1_20143.p',cls_Message_Oanalz_OInj_0) ).

cnf(cls_Event_OSays__imp__analz__Spy__dest_0,axiom,
    ( c_in(X3,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X4)),tc_Message_Omsg)
    | ~ c_in(c_Event_Oevent_OSays(X1,X2,X3),c_List_Oset(X4,tc_Event_Oevent),tc_Event_Oevent) ),
    file('/export/starexec/sandbox/tmp/tmp.7zN4eZv847/E---3.1_20143.p',cls_Event_OSays__imp__analz__Spy__dest_0) ).

cnf(cls_OtwayRees_OGets__imp__Says__dest_0,axiom,
    ( c_in(c_Event_Oevent_OSays(v_sko__usf(X2,X3,X1),X2,X3),c_List_Oset(X1,tc_Event_Oevent),tc_Event_Oevent)
    | ~ c_in(X1,c_OtwayRees_Ootway,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.7zN4eZv847/E---3.1_20143.p',cls_OtwayRees_OGets__imp__Says__dest_0) ).

cnf(cls_conjecture_3,negated_conjecture,
    c_in(c_Event_Oevent_OGets(c_Message_Oagent_OServer,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_Ba)))),c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NBa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_Ba)))))))))),c_List_Oset(v_evs3,tc_Event_Oevent),tc_Event_Oevent),
    file('/export/starexec/sandbox/tmp/tmp.7zN4eZv847/E---3.1_20143.p',cls_conjecture_3) ).

cnf(cls_conjecture_5,negated_conjecture,
    v_NA = c_Message_Omsg_ONonce(v_NAa),
    file('/export/starexec/sandbox/tmp/tmp.7zN4eZv847/E---3.1_20143.p',cls_conjecture_5) ).

cnf(cls_conjecture_10,negated_conjecture,
    v_NB = c_Message_Omsg_ONonce(v_NBa),
    file('/export/starexec/sandbox/tmp/tmp.7zN4eZv847/E---3.1_20143.p',cls_conjecture_10) ).

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.7zN4eZv847/E---3.1_20143.p',cls_Message_OMPair__analz_0) ).

cnf(cls_conjecture_1,negated_conjecture,
    c_in(v_evs3,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent)),
    file('/export/starexec/sandbox/tmp/tmp.7zN4eZv847/E---3.1_20143.p',cls_conjecture_1) ).

cnf(cls_Set_Osubset__antisym_0,axiom,
    ( X2 = X1
    | ~ c_lessequals(X1,X2,tc_set(X3))
    | ~ c_lessequals(X2,X1,tc_set(X3)) ),
    file('/export/starexec/sandbox/tmp/tmp.7zN4eZv847/E---3.1_20143.p',cls_Set_Osubset__antisym_0) ).

cnf(cls_Message_Oanalz__into__parts__dest_0,axiom,
    ( c_in(X1,c_Message_Oparts(X2),tc_Message_Omsg)
    | ~ c_in(X1,c_Message_Oanalz(X2),tc_Message_Omsg) ),
    file('/export/starexec/sandbox/tmp/tmp.7zN4eZv847/E---3.1_20143.p',cls_Message_Oanalz__into__parts__dest_0) ).

cnf(cls_conjecture_12,negated_conjecture,
    ~ c_in(c_Event_Oevent_OSays(v_Ba,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OMPair(X1,c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NBa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_Ba)))))))))),c_List_Oset(v_evs3,tc_Event_Oevent),tc_Event_Oevent),
    file('/export/starexec/sandbox/tmp/tmp.7zN4eZv847/E---3.1_20143.p',cls_conjecture_12) ).

cnf(cls_conjecture_0,negated_conjecture,
    ~ c_in(v_B,c_Event_Obad,tc_Message_Oagent),
    file('/export/starexec/sandbox/tmp/tmp.7zN4eZv847/E---3.1_20143.p',cls_conjecture_0) ).

cnf(cls_conjecture_4,negated_conjecture,
    v_B = v_Ba,
    file('/export/starexec/sandbox/tmp/tmp.7zN4eZv847/E---3.1_20143.p',cls_conjecture_4) ).

cnf(cls_OtwayRees_OCrypt__imp__OR2__dest_0,axiom,
    ( c_in(X2,c_Event_Obad,tc_Message_Oagent)
    | c_in(c_Event_Oevent_OSays(X2,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(X3,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X5),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X2),c_Message_Omsg_OMPair(v_sko__u__1(X5,X2,X3,X4,X1),c_Message_Omsg_OCrypt(c_Public_OshrK(X2),c_Message_Omsg_OMPair(X3,c_Message_Omsg_OMPair(X4,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X5),c_Message_Omsg_OAgent(X2)))))))))),c_List_Oset(X1,tc_Event_Oevent),tc_Event_Oevent)
    | ~ c_in(X1,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent))
    | ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(X2),c_Message_Omsg_OMPair(X3,c_Message_Omsg_OMPair(X4,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X5),c_Message_Omsg_OAgent(X2))))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X1)),tc_Message_Omsg) ),
    file('/export/starexec/sandbox/tmp/tmp.7zN4eZv847/E---3.1_20143.p',cls_OtwayRees_OCrypt__imp__OR2__dest_0) ).

cnf(c_0_17,axiom,
    ( c_in(X1,c_Message_Oanalz(X2),tc_Message_Omsg)
    | ~ c_in(X1,c_Message_Oanalz(c_Message_Oanalz(X2)),tc_Message_Omsg) ),
    cls_Message_Oanalz__analzD__dest_0 ).

cnf(c_0_18,axiom,
    ( c_in(c_Main_OsubsetI__1(X1,X2,X3),X1,X3)
    | c_lessequals(X1,X2,tc_set(X3)) ),
    cls_Set_OsubsetI_0 ).

cnf(c_0_19,axiom,
    ( c_lessequals(X1,X2,tc_set(X3))
    | ~ c_in(c_Main_OsubsetI__1(X1,X2,X3),X2,X3) ),
    cls_Set_OsubsetI_1 ).

cnf(c_0_20,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_21,axiom,
    ( c_in(X3,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X4)),tc_Message_Omsg)
    | ~ c_in(c_Event_Oevent_OSays(X1,X2,X3),c_List_Oset(X4,tc_Event_Oevent),tc_Event_Oevent) ),
    cls_Event_OSays__imp__analz__Spy__dest_0 ).

cnf(c_0_22,axiom,
    ( c_in(c_Event_Oevent_OSays(v_sko__usf(X2,X3,X1),X2,X3),c_List_Oset(X1,tc_Event_Oevent),tc_Event_Oevent)
    | ~ c_in(X1,c_OtwayRees_Ootway,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_OtwayRees_OGets__imp__Says__dest_0 ).

cnf(c_0_23,negated_conjecture,
    c_in(c_Event_Oevent_OGets(c_Message_Oagent_OServer,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_Ba)))),c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NBa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_Ba)))))))))),c_List_Oset(v_evs3,tc_Event_Oevent),tc_Event_Oevent),
    cls_conjecture_3 ).

cnf(c_0_24,negated_conjecture,
    v_NA = c_Message_Omsg_ONonce(v_NAa),
    cls_conjecture_5 ).

cnf(c_0_25,negated_conjecture,
    v_NB = c_Message_Omsg_ONonce(v_NBa),
    cls_conjecture_10 ).

cnf(c_0_26,plain,
    ( c_lessequals(c_Message_Oanalz(c_Message_Oanalz(X1)),X2,tc_set(tc_Message_Omsg))
    | c_in(c_Main_OsubsetI__1(c_Message_Oanalz(c_Message_Oanalz(X1)),X2,tc_Message_Omsg),c_Message_Oanalz(X1),tc_Message_Omsg) ),
    inference(spm,[status(thm)],[c_0_17,c_0_18]) ).

cnf(c_0_27,plain,
    ( c_lessequals(X1,c_Message_Oanalz(X2),tc_set(tc_Message_Omsg))
    | ~ c_in(c_Main_OsubsetI__1(X1,c_Message_Oanalz(X2),tc_Message_Omsg),X2,tc_Message_Omsg) ),
    inference(spm,[status(thm)],[c_0_19,c_0_20]) ).

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,plain,
    ( c_in(X1,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X2)),tc_Message_Omsg)
    | ~ c_in(c_Event_Oevent_OGets(X3,X1),c_List_Oset(X2,tc_Event_Oevent),tc_Event_Oevent)
    | ~ c_in(X2,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent)) ),
    inference(spm,[status(thm)],[c_0_21,c_0_22]) ).

cnf(c_0_30,negated_conjecture,
    c_in(c_Event_Oevent_OGets(c_Message_Oagent_OServer,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Aa),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_Ba)))),c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(v_NB,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_Ba)))))))))),c_List_Oset(v_evs3,tc_Event_Oevent),tc_Event_Oevent),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_23,c_0_24]),c_0_24]),c_0_24]),c_0_25]) ).

cnf(c_0_31,negated_conjecture,
    c_in(v_evs3,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent)),
    cls_conjecture_1 ).

cnf(c_0_32,axiom,
    ( X2 = X1
    | ~ c_lessequals(X1,X2,tc_set(X3))
    | ~ c_lessequals(X2,X1,tc_set(X3)) ),
    cls_Set_Osubset__antisym_0 ).

cnf(c_0_33,plain,
    c_lessequals(c_Message_Oanalz(c_Message_Oanalz(X1)),c_Message_Oanalz(X1),tc_set(tc_Message_Omsg)),
    inference(spm,[status(thm)],[c_0_19,c_0_26]) ).

cnf(c_0_34,plain,
    c_lessequals(X1,c_Message_Oanalz(X1),tc_set(tc_Message_Omsg)),
    inference(spm,[status(thm)],[c_0_27,c_0_18]) ).

cnf(c_0_35,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_20]) ).

cnf(c_0_36,negated_conjecture,
    c_in(c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Aa),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_Ba)))),c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(v_NB,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_Ba))))))))),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_30]),c_0_31])]) ).

cnf(c_0_37,plain,
    c_Message_Oanalz(c_Message_Oanalz(X1)) = c_Message_Oanalz(X1),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_33]),c_0_34])]) ).

cnf(c_0_38,negated_conjecture,
    c_in(c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Aa),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_Ba)))),c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(v_NB,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_Ba)))))))),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_36]),c_0_37]) ).

cnf(c_0_39,negated_conjecture,
    c_in(c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Aa),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_Ba)))),c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(v_NB,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_Ba))))))),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_38]),c_0_37]) ).

cnf(c_0_40,negated_conjecture,
    c_in(c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Aa),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_Ba)))),c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(v_NB,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_Ba)))))),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_39]),c_0_37]) ).

cnf(c_0_41,axiom,
    ( c_in(X1,c_Message_Oparts(X2),tc_Message_Omsg)
    | ~ c_in(X1,c_Message_Oanalz(X2),tc_Message_Omsg) ),
    cls_Message_Oanalz__into__parts__dest_0 ).

cnf(c_0_42,negated_conjecture,
    c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(v_NB,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_Ba))))),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_40]),c_0_37]) ).

cnf(c_0_43,negated_conjecture,
    ~ c_in(c_Event_Oevent_OSays(v_Ba,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OMPair(X1,c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NBa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_Ba)))))))))),c_List_Oset(v_evs3,tc_Event_Oevent),tc_Event_Oevent),
    cls_conjecture_12 ).

cnf(c_0_44,negated_conjecture,
    ~ c_in(v_B,c_Event_Obad,tc_Message_Oagent),
    cls_conjecture_0 ).

cnf(c_0_45,negated_conjecture,
    v_B = v_Ba,
    cls_conjecture_4 ).

cnf(c_0_46,axiom,
    ( c_in(X2,c_Event_Obad,tc_Message_Oagent)
    | c_in(c_Event_Oevent_OSays(X2,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(X3,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X5),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X2),c_Message_Omsg_OMPair(v_sko__u__1(X5,X2,X3,X4,X1),c_Message_Omsg_OCrypt(c_Public_OshrK(X2),c_Message_Omsg_OMPair(X3,c_Message_Omsg_OMPair(X4,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X5),c_Message_Omsg_OAgent(X2)))))))))),c_List_Oset(X1,tc_Event_Oevent),tc_Event_Oevent)
    | ~ c_in(X1,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent))
    | ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(X2),c_Message_Omsg_OMPair(X3,c_Message_Omsg_OMPair(X4,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X5),c_Message_Omsg_OAgent(X2))))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X1)),tc_Message_Omsg) ),
    cls_OtwayRees_OCrypt__imp__OR2__dest_0 ).

cnf(c_0_47,negated_conjecture,
    c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(v_NB,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_Ba))))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg),
    inference(spm,[status(thm)],[c_0_41,c_0_42]) ).

cnf(c_0_48,negated_conjecture,
    ~ c_in(c_Event_Oevent_OSays(v_Ba,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OMPair(X1,c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(v_NB,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_Ba)))))))))),c_List_Oset(v_evs3,tc_Event_Oevent),tc_Event_Oevent),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_43,c_0_24]),c_0_24]),c_0_25]) ).

cnf(c_0_49,negated_conjecture,
    ~ c_in(v_Ba,c_Event_Obad,tc_Message_Oagent),
    inference(rw,[status(thm)],[c_0_44,c_0_45]) ).

cnf(c_0_50,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_47]),c_0_31])]),c_0_48]),c_0_49]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.23  % Problem    : SWV311-1 : TPTP v8.1.2. Released v3.2.0.
% 0.12/0.24  % Command    : run_E %s %d THM
% 0.24/0.44  % Computer : n031.cluster.edu
% 0.24/0.44  % Model    : x86_64 x86_64
% 0.24/0.44  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.24/0.44  % Memory   : 8042.1875MB
% 0.24/0.44  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.24/0.44  % CPULimit   : 2400
% 0.24/0.44  % WCLimit    : 300
% 0.24/0.44  % DateTime   : Tue Oct  3 04:24:29 EDT 2023
% 0.24/0.45  % CPUTime    : 
% 0.30/0.69  Running first-order theorem proving
% 0.30/0.69  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.7zN4eZv847/E---3.1_20143.p
% 30.99/4.61  # Version: 3.1pre001
% 30.99/4.61  # Preprocessing class: FMLMSMSMSSSNFFN.
% 30.99/4.61  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 30.99/4.61  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 30.99/4.61  # Starting new_bool_3 with 300s (1) cores
% 30.99/4.61  # Starting new_bool_1 with 300s (1) cores
% 30.99/4.61  # Starting sh5l with 300s (1) cores
% 30.99/4.61  # G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 20221 completed with status 0
% 30.99/4.61  # Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 30.99/4.61  # Preprocessing class: FMLMSMSMSSSNFFN.
% 30.99/4.61  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 30.99/4.61  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 30.99/4.61  # No SInE strategy applied
% 30.99/4.61  # Search class: FGHSM-SSLM32-DFFFFFNN
% 30.99/4.61  # Scheduled 13 strats onto 5 cores with 1500 seconds (1500 total)
% 30.99/4.61  # Starting G-E--_208_C18_F1_SE_CS_SP_PI_PS_S5PRR_RG_S04AN with 113s (1) cores
% 30.99/4.61  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 30.99/4.61  # Starting G-E--_208_B07_F1_SE_CS_SP_PS_S4d with 113s (1) cores
% 30.99/4.61  # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AI with 113s (1) cores
% 30.99/4.61  # Starting G-E--_208_B07_F1_S5PRR_SE_CS_SP_PS_S0Y with 113s (1) cores
% 30.99/4.61  # G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 20229 completed with status 0
% 30.99/4.61  # Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 30.99/4.61  # Preprocessing class: FMLMSMSMSSSNFFN.
% 30.99/4.61  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 30.99/4.61  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 30.99/4.61  # No SInE strategy applied
% 30.99/4.61  # Search class: FGHSM-SSLM32-DFFFFFNN
% 30.99/4.61  # Scheduled 13 strats onto 5 cores with 1500 seconds (1500 total)
% 30.99/4.61  # Starting G-E--_208_C18_F1_SE_CS_SP_PI_PS_S5PRR_RG_S04AN with 113s (1) cores
% 30.99/4.61  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 30.99/4.61  # Preprocessing time       : 0.013 s
% 30.99/4.61  # Presaturation interreduction done
% 30.99/4.61  
% 30.99/4.61  # Proof found!
% 30.99/4.61  # SZS status Unsatisfiable
% 30.99/4.61  # SZS output start CNFRefutation
% See solution above
% 30.99/4.61  # Parsed axioms                        : 1489
% 30.99/4.61  # Removed by relevancy pruning/SinE    : 0
% 30.99/4.61  # Initial clauses                      : 1489
% 30.99/4.61  # Removed in clause preprocessing      : 3
% 30.99/4.61  # Initial clauses in saturation        : 1486
% 30.99/4.62  # Processed clauses                    : 15789
% 30.99/4.62  # ...of these trivial                  : 2194
% 30.99/4.62  # ...subsumed                          : 7517
% 30.99/4.62  # ...remaining for further processing  : 6078
% 30.99/4.62  # Other redundant clauses eliminated   : 116
% 30.99/4.62  # Clauses deleted for lack of memory   : 0
% 30.99/4.62  # Backward-subsumed                    : 128
% 30.99/4.62  # Backward-rewritten                   : 344
% 30.99/4.62  # Generated clauses                    : 184839
% 30.99/4.62  # ...of the previous two non-redundant : 171958
% 30.99/4.62  # ...aggressively subsumed             : 0
% 30.99/4.62  # Contextual simplify-reflections      : 10
% 30.99/4.62  # Paramodulations                      : 184655
% 30.99/4.62  # Factorizations                       : 16
% 30.99/4.62  # NegExts                              : 0
% 30.99/4.62  # Equation resolutions                 : 168
% 30.99/4.62  # Total rewrite steps                  : 86792
% 30.99/4.62  # Propositional unsat checks           : 1
% 30.99/4.62  #    Propositional check models        : 0
% 30.99/4.62  #    Propositional check unsatisfiable : 0
% 30.99/4.62  #    Propositional clauses             : 0
% 30.99/4.62  #    Propositional clauses after purity: 0
% 30.99/4.62  #    Propositional unsat core size     : 0
% 30.99/4.62  #    Propositional preprocessing time  : 0.000
% 30.99/4.62  #    Propositional encoding time       : 0.171
% 30.99/4.62  #    Propositional solver time         : 0.101
% 30.99/4.62  #    Success case prop preproc time    : 0.000
% 30.99/4.62  #    Success case prop encoding time   : 0.000
% 30.99/4.62  #    Success case prop solver time     : 0.000
% 30.99/4.62  # Current number of processed clauses  : 4179
% 30.99/4.62  #    Positive orientable unit clauses  : 720
% 30.99/4.62  #    Positive unorientable unit clauses: 0
% 30.99/4.62  #    Negative unit clauses             : 332
% 30.99/4.62  #    Non-unit-clauses                  : 3127
% 30.99/4.62  # Current number of unprocessed clauses: 145868
% 30.99/4.62  # ...number of literals in the above   : 317496
% 30.99/4.62  # Current number of archived formulas  : 0
% 30.99/4.62  # Current number of archived clauses   : 1900
% 30.99/4.62  # Clause-clause subsumption calls (NU) : 5465978
% 30.99/4.62  # Rec. Clause-clause subsumption calls : 4035068
% 30.99/4.62  # Non-unit clause-clause subsumptions  : 5007
% 30.99/4.62  # Unit Clause-clause subsumption calls : 80597
% 30.99/4.62  # Rewrite failures with RHS unbound    : 0
% 30.99/4.62  # BW rewrite match attempts            : 1654
% 30.99/4.62  # BW rewrite match successes           : 224
% 30.99/4.62  # Condensation attempts                : 0
% 30.99/4.62  # Condensation successes               : 0
% 30.99/4.62  # Termbank termtop insertions          : 6480733
% 30.99/4.62  
% 30.99/4.62  # -------------------------------------------------
% 30.99/4.62  # User time                : 3.648 s
% 30.99/4.62  # System time              : 0.126 s
% 30.99/4.62  # Total time               : 3.774 s
% 30.99/4.62  # Maximum resident set size: 3980 pages
% 30.99/4.62  
% 30.99/4.62  # -------------------------------------------------
% 30.99/4.62  # User time                : 18.175 s
% 30.99/4.62  # System time              : 0.795 s
% 30.99/4.62  # Total time               : 18.970 s
% 30.99/4.62  # Maximum resident set size: 2524 pages
% 30.99/4.62  % E---3.1 exiting
% 30.99/4.62  % E---3.1 exiting
%------------------------------------------------------------------------------