TSTP Solution File: SWV292-1 by E-SAT---3.1.00

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E-SAT---3.1.00
% Problem  : SWV292-1 : TPTP v8.1.2. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n025.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 09:52:29 EDT 2024

% Result   : Unsatisfiable 11.97s 2.11s
% Output   : CNFRefutation 11.97s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :   16
% Syntax   : Number of clauses     :   57 (  21 unt;   6 nHn;  57 RR)
%            Number of literals    :  110 (   0 equ;  55 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    9 (   2 avg)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-3 aty)
%            Number of functors    :   32 (  32 usr;  15 con; 0-3 aty)
%            Number of variables   :   95 (  14 sgn)

% Comments : 
%------------------------------------------------------------------------------
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.QYBo0ERraY/E---3.1_22315.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.QYBo0ERraY/E---3.1_22315.p',cls_OtwayRees_OGets__imp__Says__dest_0) ).

cnf(cls_Message_OMPair__synth__analz__iff1_0,axiom,
    ( c_in(X1,c_Message_Osynth(c_Message_Oanalz(X3)),tc_Message_Omsg)
    | ~ c_in(c_Message_Omsg_OMPair(X1,X2),c_Message_Osynth(c_Message_Oanalz(X3)),tc_Message_Omsg) ),
    file('/export/starexec/sandbox/tmp/tmp.QYBo0ERraY/E---3.1_22315.p',cls_Message_OMPair__synth__analz__iff1_0) ).

cnf(cls_Message_Osynth_OInj_0,axiom,
    ( c_in(X1,c_Message_Osynth(X2),tc_Message_Omsg)
    | ~ c_in(X1,X2,tc_Message_Omsg) ),
    file('/export/starexec/sandbox/tmp/tmp.QYBo0ERraY/E---3.1_22315.p',cls_Message_Osynth_OInj_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.QYBo0ERraY/E---3.1_22315.p',cls_Message_OMPair__analz_0) ).

cnf(cls_conjecture_4,negated_conjecture,
    c_in(c_Event_Oevent_OGets(v_Ba,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OMPair(v_X,c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_OKey(v_K)))))),c_List_Oset(v_evs4,tc_Event_Oevent),tc_Event_Oevent),
    file('/export/starexec/sandbox/tmp/tmp.QYBo0ERraY/E---3.1_22315.p',cls_conjecture_4) ).

cnf(cls_conjecture_1,negated_conjecture,
    c_in(v_evs4,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent)),
    file('/export/starexec/sandbox/tmp/tmp.QYBo0ERraY/E---3.1_22315.p',cls_conjecture_1) ).

cnf(cls_Message_OFake__parts__insert__in__Un__dest_0,axiom,
    ( c_in(X1,c_union(c_Message_Osynth(c_Message_Oanalz(X3)),c_Message_Oparts(X3),tc_Message_Omsg),tc_Message_Omsg)
    | ~ c_in(X1,c_Message_Oparts(c_insert(X2,X3,tc_Message_Omsg)),tc_Message_Omsg)
    | ~ c_in(X2,c_Message_Osynth(c_Message_Oanalz(X3)),tc_Message_Omsg) ),
    file('/export/starexec/sandbox/tmp/tmp.QYBo0ERraY/E---3.1_22315.p',cls_Message_OFake__parts__insert__in__Un__dest_0) ).

cnf(cls_conjecture_7,negated_conjecture,
    ( c_in(c_Event_Oevent_OSays(v_A,v_B,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_B)))))))),c_List_Oset(v_evs4,tc_Event_Oevent),tc_Event_Oevent)
    | ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_B)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg) ),
    file('/export/starexec/sandbox/tmp/tmp.QYBo0ERraY/E---3.1_22315.p',cls_conjecture_7) ).

cnf(cls_conjecture_6,negated_conjecture,
    ~ c_in(c_Event_Oevent_OSays(v_A,v_B,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_B)))))))),c_List_Oset(v_evs4,tc_Event_Oevent),tc_Event_Oevent),
    file('/export/starexec/sandbox/tmp/tmp.QYBo0ERraY/E---3.1_22315.p',cls_conjecture_6) ).

cnf(cls_Set_OUnE_0,axiom,
    ( c_in(X1,X3,X4)
    | c_in(X1,X2,X4)
    | ~ c_in(X1,c_union(X2,X3,X4),X4) ),
    file('/export/starexec/sandbox/tmp/tmp.QYBo0ERraY/E---3.1_22315.p',cls_Set_OUnE_0) ).

cnf(cls_conjecture_5,negated_conjecture,
    c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_B)))),c_Message_Oparts(c_insert(v_X,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4),tc_Message_Omsg)),tc_Message_Omsg),
    file('/export/starexec/sandbox/tmp/tmp.QYBo0ERraY/E---3.1_22315.p',cls_conjecture_5) ).

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.QYBo0ERraY/E---3.1_22315.p',cls_Message_Oanalz__into__parts__dest_0) ).

cnf(cls_OtwayRees_OSpy__see__shrK__D__dest_0,axiom,
    ( c_in(X2,c_Event_Obad,tc_Message_Oagent)
    | ~ c_in(X1,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent))
    | ~ c_in(c_Message_Omsg_OKey(c_Public_OshrK(X2)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X1)),tc_Message_Omsg) ),
    file('/export/starexec/sandbox/tmp/tmp.QYBo0ERraY/E---3.1_22315.p',cls_OtwayRees_OSpy__see__shrK__D__dest_0) ).

cnf(cls_Message_OCrypt__synth_0,axiom,
    ( c_in(c_Message_Omsg_OCrypt(X1,X2),X3,tc_Message_Omsg)
    | c_in(c_Message_Omsg_OKey(X1),X3,tc_Message_Omsg)
    | ~ c_in(c_Message_Omsg_OCrypt(X1,X2),c_Message_Osynth(X3),tc_Message_Omsg) ),
    file('/export/starexec/sandbox/tmp/tmp.QYBo0ERraY/E---3.1_22315.p',cls_Message_OCrypt__synth_0) ).

cnf(cls_conjecture_0,negated_conjecture,
    ~ c_in(v_A,c_Event_Obad,tc_Message_Oagent),
    file('/export/starexec/sandbox/tmp/tmp.QYBo0ERraY/E---3.1_22315.p',cls_conjecture_0) ).

cnf(c_0_16,plain,
    ( 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) ),
    inference(fof_simplification,[status(thm)],[cls_Event_OSays__imp__analz__Spy__dest_0]) ).

cnf(c_0_17,plain,
    ( 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) ),
    inference(fof_simplification,[status(thm)],[cls_OtwayRees_OGets__imp__Says__dest_0]) ).

cnf(c_0_18,plain,
    ( 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) ),
    c_0_16 ).

cnf(c_0_19,plain,
    ( 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) ),
    c_0_17 ).

cnf(c_0_20,plain,
    ( c_in(X1,c_Message_Osynth(c_Message_Oanalz(X3)),tc_Message_Omsg)
    | ~ c_in(c_Message_Omsg_OMPair(X1,X2),c_Message_Osynth(c_Message_Oanalz(X3)),tc_Message_Omsg) ),
    inference(fof_simplification,[status(thm)],[cls_Message_OMPair__synth__analz__iff1_0]) ).

cnf(c_0_21,plain,
    ( c_in(X1,c_Message_Osynth(X2),tc_Message_Omsg)
    | ~ c_in(X1,X2,tc_Message_Omsg) ),
    inference(fof_simplification,[status(thm)],[cls_Message_Osynth_OInj_0]) ).

cnf(c_0_22,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_23,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_18,c_0_19]) ).

cnf(c_0_24,negated_conjecture,
    c_in(c_Event_Oevent_OGets(v_Ba,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OMPair(v_X,c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_OKey(v_K)))))),c_List_Oset(v_evs4,tc_Event_Oevent),tc_Event_Oevent),
    cls_conjecture_4 ).

cnf(c_0_25,negated_conjecture,
    c_in(v_evs4,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent)),
    cls_conjecture_1 ).

cnf(c_0_26,plain,
    ( c_in(X1,c_Message_Osynth(c_Message_Oanalz(X3)),tc_Message_Omsg)
    | ~ c_in(c_Message_Omsg_OMPair(X1,X2),c_Message_Osynth(c_Message_Oanalz(X3)),tc_Message_Omsg) ),
    c_0_20 ).

cnf(c_0_27,plain,
    ( c_in(X1,c_Message_Osynth(X2),tc_Message_Omsg)
    | ~ c_in(X1,X2,tc_Message_Omsg) ),
    c_0_21 ).

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) ),
    c_0_22 ).

cnf(c_0_29,negated_conjecture,
    c_in(c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OMPair(v_X,c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_OKey(v_K))))),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_23,c_0_24]),c_0_25])]) ).

cnf(c_0_30,plain,
    ( c_in(X1,c_union(c_Message_Osynth(c_Message_Oanalz(X3)),c_Message_Oparts(X3),tc_Message_Omsg),tc_Message_Omsg)
    | ~ c_in(X1,c_Message_Oparts(c_insert(X2,X3,tc_Message_Omsg)),tc_Message_Omsg)
    | ~ c_in(X2,c_Message_Osynth(c_Message_Oanalz(X3)),tc_Message_Omsg) ),
    inference(fof_simplification,[status(thm)],[cls_Message_OFake__parts__insert__in__Un__dest_0]) ).

cnf(c_0_31,plain,
    ( c_in(X1,c_Message_Osynth(c_Message_Oanalz(X2)),tc_Message_Omsg)
    | ~ c_in(c_Message_Omsg_OMPair(X1,X3),c_Message_Oanalz(X2),tc_Message_Omsg) ),
    inference(spm,[status(thm)],[c_0_26,c_0_27]) ).

cnf(c_0_32,negated_conjecture,
    c_in(c_Message_Omsg_OMPair(v_X,c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_OKey(v_K)))),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg),
    inference(spm,[status(thm)],[c_0_28,c_0_29]) ).

cnf(c_0_33,negated_conjecture,
    ( c_in(c_Event_Oevent_OSays(v_A,v_B,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_B)))))))),c_List_Oset(v_evs4,tc_Event_Oevent),tc_Event_Oevent)
    | ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_B)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg) ),
    inference(fof_simplification,[status(thm)],[cls_conjecture_7]) ).

cnf(c_0_34,negated_conjecture,
    ~ c_in(c_Event_Oevent_OSays(v_A,v_B,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_B)))))))),c_List_Oset(v_evs4,tc_Event_Oevent),tc_Event_Oevent),
    inference(fof_simplification,[status(thm)],[cls_conjecture_6]) ).

cnf(c_0_35,plain,
    ( c_in(X1,X3,X4)
    | c_in(X1,X2,X4)
    | ~ c_in(X1,c_union(X2,X3,X4),X4) ),
    inference(fof_simplification,[status(thm)],[cls_Set_OUnE_0]) ).

cnf(c_0_36,plain,
    ( c_in(X1,c_union(c_Message_Osynth(c_Message_Oanalz(X3)),c_Message_Oparts(X3),tc_Message_Omsg),tc_Message_Omsg)
    | ~ c_in(X1,c_Message_Oparts(c_insert(X2,X3,tc_Message_Omsg)),tc_Message_Omsg)
    | ~ c_in(X2,c_Message_Osynth(c_Message_Oanalz(X3)),tc_Message_Omsg) ),
    c_0_30 ).

cnf(c_0_37,negated_conjecture,
    c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_B)))),c_Message_Oparts(c_insert(v_X,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4),tc_Message_Omsg)),tc_Message_Omsg),
    cls_conjecture_5 ).

cnf(c_0_38,negated_conjecture,
    c_in(v_X,c_Message_Osynth(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_39,negated_conjecture,
    ( c_in(c_Event_Oevent_OSays(v_A,v_B,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_B)))))))),c_List_Oset(v_evs4,tc_Event_Oevent),tc_Event_Oevent)
    | ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_B)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg) ),
    c_0_33 ).

cnf(c_0_40,negated_conjecture,
    ~ c_in(c_Event_Oevent_OSays(v_A,v_B,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_B)))))))),c_List_Oset(v_evs4,tc_Event_Oevent),tc_Event_Oevent),
    c_0_34 ).

cnf(c_0_41,plain,
    ( c_in(X1,c_Message_Oparts(X2),tc_Message_Omsg)
    | ~ c_in(X1,c_Message_Oanalz(X2),tc_Message_Omsg) ),
    inference(fof_simplification,[status(thm)],[cls_Message_Oanalz__into__parts__dest_0]) ).

cnf(c_0_42,plain,
    ( c_in(X2,c_Event_Obad,tc_Message_Oagent)
    | ~ c_in(X1,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent))
    | ~ c_in(c_Message_Omsg_OKey(c_Public_OshrK(X2)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X1)),tc_Message_Omsg) ),
    inference(fof_simplification,[status(thm)],[cls_OtwayRees_OSpy__see__shrK__D__dest_0]) ).

cnf(c_0_43,plain,
    ( c_in(c_Message_Omsg_OCrypt(X1,X2),X3,tc_Message_Omsg)
    | c_in(c_Message_Omsg_OKey(X1),X3,tc_Message_Omsg)
    | ~ c_in(c_Message_Omsg_OCrypt(X1,X2),c_Message_Osynth(X3),tc_Message_Omsg) ),
    inference(fof_simplification,[status(thm)],[cls_Message_OCrypt__synth_0]) ).

cnf(c_0_44,plain,
    ( c_in(X1,X3,X4)
    | c_in(X1,X2,X4)
    | ~ c_in(X1,c_union(X2,X3,X4),X4) ),
    c_0_35 ).

cnf(c_0_45,negated_conjecture,
    c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_B)))),c_union(c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg),tc_Message_Omsg),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_37]),c_0_38])]) ).

cnf(c_0_46,negated_conjecture,
    ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_B)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg),
    inference(sr,[status(thm)],[c_0_39,c_0_40]) ).

cnf(c_0_47,plain,
    ( c_in(X1,c_Message_Oparts(X2),tc_Message_Omsg)
    | ~ c_in(X1,c_Message_Oanalz(X2),tc_Message_Omsg) ),
    c_0_41 ).

cnf(c_0_48,plain,
    ( c_in(X2,c_Event_Obad,tc_Message_Oagent)
    | ~ c_in(X1,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent))
    | ~ c_in(c_Message_Omsg_OKey(c_Public_OshrK(X2)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X1)),tc_Message_Omsg) ),
    c_0_42 ).

cnf(c_0_49,plain,
    ( c_in(c_Message_Omsg_OCrypt(X1,X2),X3,tc_Message_Omsg)
    | c_in(c_Message_Omsg_OKey(X1),X3,tc_Message_Omsg)
    | ~ c_in(c_Message_Omsg_OCrypt(X1,X2),c_Message_Osynth(X3),tc_Message_Omsg) ),
    c_0_43 ).

cnf(c_0_50,negated_conjecture,
    c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_B)))),c_Message_Osynth(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_44,c_0_45]),c_0_46]) ).

cnf(c_0_51,negated_conjecture,
    ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_B)))),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg),
    inference(spm,[status(thm)],[c_0_46,c_0_47]) ).

cnf(c_0_52,negated_conjecture,
    ~ c_in(v_A,c_Event_Obad,tc_Message_Oagent),
    inference(fof_simplification,[status(thm)],[cls_conjecture_0]) ).

cnf(c_0_53,plain,
    ( c_in(X1,c_Event_Obad,tc_Message_Oagent)
    | ~ 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(X2,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent)) ),
    inference(spm,[status(thm)],[c_0_48,c_0_47]) ).

cnf(c_0_54,negated_conjecture,
    c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),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_49,c_0_50]),c_0_51]) ).

cnf(c_0_55,negated_conjecture,
    ~ c_in(v_A,c_Event_Obad,tc_Message_Oagent),
    c_0_52 ).

cnf(c_0_56,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_54]),c_0_25])]),c_0_55]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12  % Problem    : SWV292-1 : TPTP v8.1.2. Released v3.2.0.
% 0.13/0.14  % Command    : run_E %s %d THM
% 0.14/0.35  % Computer : n025.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit   : 300
% 0.14/0.35  % WCLimit    : 300
% 0.14/0.35  % DateTime   : Fri May  3 17:10:53 EDT 2024
% 0.14/0.35  % CPUTime    : 
% 0.44/0.59  Running first-order model finding
% 0.44/0.59  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.QYBo0ERraY/E---3.1_22315.p
% 11.97/2.11  # Version: 3.1.0
% 11.97/2.11  # Preprocessing class: FMLMSMSMSSSNFFN.
% 11.97/2.11  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 11.97/2.11  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 11.97/2.11  # Starting new_bool_3 with 300s (1) cores
% 11.97/2.11  # Starting new_bool_1 with 300s (1) cores
% 11.97/2.11  # Starting sh5l with 300s (1) cores
% 11.97/2.11  # G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 22512 completed with status 0
% 11.97/2.11  # Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 11.97/2.11  # Preprocessing class: FMLMSMSMSSSNFFN.
% 11.97/2.11  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 11.97/2.11  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 11.97/2.11  # No SInE strategy applied
% 11.97/2.11  # Search class: FGHSM-SSLM32-DFFFFFNN
% 11.97/2.11  # Scheduled 13 strats onto 5 cores with 1500 seconds (1500 total)
% 11.97/2.11  # Starting G-E--_208_C18_F1_SE_CS_SP_PI_PS_S5PRR_RG_S04AN with 113s (1) cores
% 11.97/2.11  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 11.97/2.11  # Starting G-E--_208_B07_F1_SE_CS_SP_PS_S4d with 113s (1) cores
% 11.97/2.11  # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AI with 113s (1) cores
% 11.97/2.11  # Starting G-E--_208_B07_F1_S5PRR_SE_CS_SP_PS_S0Y with 113s (1) cores
% 11.97/2.11  # G-E--_208_C18_F1_SE_CS_SP_PI_PS_S5PRR_RG_S04AN with pid 22531 completed with status 0
% 11.97/2.11  # Result found by G-E--_208_C18_F1_SE_CS_SP_PI_PS_S5PRR_RG_S04AN
% 11.97/2.11  # Preprocessing class: FMLMSMSMSSSNFFN.
% 11.97/2.11  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 11.97/2.11  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 11.97/2.11  # No SInE strategy applied
% 11.97/2.11  # Search class: FGHSM-SSLM32-DFFFFFNN
% 11.97/2.11  # Scheduled 13 strats onto 5 cores with 1500 seconds (1500 total)
% 11.97/2.11  # Starting G-E--_208_C18_F1_SE_CS_SP_PI_PS_S5PRR_RG_S04AN with 113s (1) cores
% 11.97/2.11  # Preprocessing time       : 0.013 s
% 11.97/2.11  # Presaturation interreduction done
% 11.97/2.11  
% 11.97/2.11  # Proof found!
% 11.97/2.11  # SZS status Unsatisfiable
% 11.97/2.11  # SZS output start CNFRefutation
% See solution above
% 11.97/2.11  # Parsed axioms                        : 1480
% 11.97/2.11  # Removed by relevancy pruning/SinE    : 0
% 11.97/2.11  # Initial clauses                      : 1480
% 11.97/2.11  # Removed in clause preprocessing      : 3
% 11.97/2.11  # Initial clauses in saturation        : 1477
% 11.97/2.11  # Processed clauses                    : 11983
% 11.97/2.11  # ...of these trivial                  : 877
% 11.97/2.11  # ...subsumed                          : 5781
% 11.97/2.11  # ...remaining for further processing  : 5325
% 11.97/2.11  # Other redundant clauses eliminated   : 44
% 11.97/2.11  # Clauses deleted for lack of memory   : 0
% 11.97/2.11  # Backward-subsumed                    : 181
% 11.97/2.11  # Backward-rewritten                   : 651
% 11.97/2.11  # Generated clauses                    : 80265
% 11.97/2.11  # ...of the previous two non-redundant : 65926
% 11.97/2.11  # ...aggressively subsumed             : 0
% 11.97/2.11  # Contextual simplify-reflections      : 3
% 11.97/2.11  # Paramodulations                      : 80164
% 11.97/2.11  # Factorizations                       : 6
% 11.97/2.11  # NegExts                              : 0
% 11.97/2.11  # Equation resolutions                 : 95
% 11.97/2.11  # Disequality decompositions           : 0
% 11.97/2.11  # Total rewrite steps                  : 75946
% 11.97/2.11  # ...of those cached                   : 72178
% 11.97/2.11  # Propositional unsat checks           : 1
% 11.97/2.11  #    Propositional check models        : 0
% 11.97/2.11  #    Propositional check unsatisfiable : 0
% 11.97/2.11  #    Propositional clauses             : 0
% 11.97/2.11  #    Propositional clauses after purity: 0
% 11.97/2.11  #    Propositional unsat core size     : 0
% 11.97/2.11  #    Propositional preprocessing time  : 0.000
% 11.97/2.11  #    Propositional encoding time       : 0.081
% 11.97/2.11  #    Propositional solver time         : 0.058
% 11.97/2.11  #    Success case prop preproc time    : 0.000
% 11.97/2.11  #    Success case prop encoding time   : 0.000
% 11.97/2.11  #    Success case prop solver time     : 0.000
% 11.97/2.11  # Current number of processed clauses  : 3072
% 11.97/2.11  #    Positive orientable unit clauses  : 581
% 11.97/2.11  #    Positive unorientable unit clauses: 0
% 11.97/2.11  #    Negative unit clauses             : 695
% 11.97/2.11  #    Non-unit-clauses                  : 1796
% 11.97/2.11  # Current number of unprocessed clauses: 52951
% 11.97/2.11  # ...number of literals in the above   : 90906
% 11.97/2.11  # Current number of archived formulas  : 0
% 11.97/2.11  # Current number of archived clauses   : 2254
% 11.97/2.11  # Clause-clause subsumption calls (NU) : 2633936
% 11.97/2.11  # Rec. Clause-clause subsumption calls : 2426027
% 11.97/2.11  # Non-unit clause-clause subsumptions  : 3565
% 11.97/2.11  # Unit Clause-clause subsumption calls : 262293
% 11.97/2.11  # Rewrite failures with RHS unbound    : 0
% 11.97/2.11  # BW rewrite match attempts            : 5090
% 11.97/2.11  # BW rewrite match successes           : 242
% 11.97/2.11  # Condensation attempts                : 0
% 11.97/2.11  # Condensation successes               : 0
% 11.97/2.11  # Termbank termtop insertions          : 1810186
% 11.97/2.11  # Search garbage collected termcells   : 1839
% 11.97/2.11  
% 11.97/2.11  # -------------------------------------------------
% 11.97/2.11  # User time                : 1.342 s
% 11.97/2.11  # System time              : 0.071 s
% 11.97/2.11  # Total time               : 1.413 s
% 11.97/2.11  # Maximum resident set size: 4156 pages
% 11.97/2.11  
% 11.97/2.11  # -------------------------------------------------
% 11.97/2.11  # User time                : 6.764 s
% 11.97/2.11  # System time              : 0.345 s
% 11.97/2.11  # Total time               : 7.110 s
% 11.97/2.11  # Maximum resident set size: 2548 pages
% 11.97/2.11  % E---3.1 exiting
%------------------------------------------------------------------------------