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E---3.5.1.UNS-CRf.s

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%------------------------------------------------------------------------------
% File     : E---3.5.1
% Problem  : SWV323-2 : TPTP v9.3.1. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM

% Computer : n005.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Thu Sep 24 02:54:23 PM UTC 2026

% Result   : Unsatisfiable 0.25s 0.61s
% Output   : CNFRefutation 0.25s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :   17
% Syntax   : Number of clauses     :   62 (  13 unt;   6 nHn;  56 RR)
%            Number of literals    :  121 (   0 equ;  59 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    7 (   2 avg)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-3 aty)
%            Number of functors    :   29 (  29 usr;  13 con; 0-3 aty)
%            Number of variables   :  108 (  20 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(cls_conjecture_6,negated_conjecture,
    ( ~ c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_Message_Oparts(c_insert(v_X,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4),tc_Message_Omsg)),tc_Message_Omsg)
    | ~ c_in(v_A,c_Event_Obad,tc_Message_Oagent) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_6) ).

cnf(cls_Message_Oparts_OInj_0,axiom,
    ( ~ c_in(X1,X2,tc_Message_Omsg)
    | c_in(X1,c_Message_Oparts(X2),tc_Message_Omsg) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Message_Oparts_OInj_0) ).

cnf(cls_conjecture_4,negated_conjecture,
    ( ~ c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg)
    | c_in(v_A,c_Event_Obad,tc_Message_Oagent) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_4) ).

cnf(cls_Event_OSays__imp__analz__Spy__dest_0,axiom,
    ( ~ c_in(c_Event_Oevent_OSays(X1,X2,X3),c_List_Oset(X4,tc_Event_Oevent),tc_Event_Oevent)
    | c_in(X3,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X4)),tc_Message_Omsg) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Event_OSays__imp__analz__Spy__dest_0) ).

cnf(cls_OtwayRees_OGets__imp__Says__dest_0,axiom,
    ( ~ c_in(c_Event_Oevent_OGets(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_OSays(v_sko__usf(X2,X3,X1),X2,X3),c_List_Oset(X1,tc_Event_Oevent),tc_Event_Oevent) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_OtwayRees_OGets__imp__Says__dest_0) ).

cnf(cls_Set_OinsertCI_0,axiom,
    ( ~ c_in(X1,X2,X3)
    | c_in(X1,c_insert(X4,X2,X3),X3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OinsertCI_0) ).

cnf(cls_Message_OMPair__synth__analz__iff1_1,axiom,
    ( ~ c_in(c_Message_Omsg_OMPair(X1,X2),c_Message_Osynth(c_Message_Oanalz(X3)),tc_Message_Omsg)
    | c_in(X2,c_Message_Osynth(c_Message_Oanalz(X3)),tc_Message_Omsg) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Message_OMPair__synth__analz__iff1_1) ).

cnf(cls_Message_Osynth_OInj_0,axiom,
    ( ~ c_in(X1,X2,tc_Message_Omsg)
    | c_in(X1,c_Message_Osynth(X2),tc_Message_Omsg) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Message_Osynth_OInj_0) ).

cnf(cls_Public_OSpy__spies__bad__shrK_0,axiom,
    ( ~ c_in(X1,c_Event_Obad,tc_Message_Oagent)
    | c_in(c_Message_Omsg_OKey(c_Public_OshrK(X1)),c_Event_Oknows(c_Message_Oagent_OSpy,X2),tc_Message_Omsg) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Public_OSpy__spies__bad__shrK_0) ).

cnf(cls_conjecture_3,negated_conjecture,
    c_in(c_Event_Oevent_OGets(v_B,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_OMPair(v_X,c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),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/sandbox2/benchmark/theBenchmark.p',cls_conjecture_3) ).

cnf(cls_conjecture_0,negated_conjecture,
    c_in(v_evs4,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).

cnf(cls_Message_OMPair__synth__analz__iff1_0,axiom,
    ( ~ c_in(c_Message_Omsg_OMPair(X1,X2),c_Message_Osynth(c_Message_Oanalz(X3)),tc_Message_Omsg)
    | c_in(X1,c_Message_Osynth(c_Message_Oanalz(X3)),tc_Message_Omsg) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Message_OMPair__synth__analz__iff1_0) ).

cnf(cls_Message_OFake__parts__insert__in__Un__dest_0,axiom,
    ( ~ c_in(X2,c_Message_Osynth(c_Message_Oanalz(X3)),tc_Message_Omsg)
    | ~ c_in(X1,c_Message_Oparts(c_insert(X2,X3,tc_Message_Omsg)),tc_Message_Omsg)
    | c_in(X1,c_union(c_Message_Osynth(c_Message_Oanalz(X3)),c_Message_Oparts(X3),tc_Message_Omsg),tc_Message_Omsg) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Message_OFake__parts__insert__in__Un__dest_0) ).

cnf(cls_conjecture_7,negated_conjecture,
    ( c_in(v_A,c_Event_Obad,tc_Message_Oagent)
    | c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),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/sandbox2/benchmark/theBenchmark.p',cls_conjecture_7) ).

cnf(cls_Set_OUnE_0,axiom,
    ( ~ c_in(X1,c_union(X2,X3,X4),X4)
    | c_in(X1,X2,X4)
    | c_in(X1,X3,X4) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OUnE_0) ).

cnf(cls_Message_OKey__synth_0,axiom,
    ( ~ c_in(c_Message_Omsg_OKey(X1),c_Message_Osynth(X2),tc_Message_Omsg)
    | c_in(c_Message_Omsg_OKey(X1),X2,tc_Message_Omsg) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Message_OKey__synth_0) ).

cnf(cls_Message_Oanalz__into__parts__dest_0,axiom,
    ( ~ c_in(X1,c_Message_Oanalz(X2),tc_Message_Omsg)
    | c_in(X1,c_Message_Oparts(X2),tc_Message_Omsg) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Message_Oanalz__into__parts__dest_0) ).

cnf(c_0_17,negated_conjecture,
    ( ~ c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_Message_Oparts(c_insert(v_X,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4),tc_Message_Omsg)),tc_Message_Omsg)
    | ~ c_in(v_A,c_Event_Obad,tc_Message_Oagent) ),
    inference(fof_simplification,[status(thm)],[cls_conjecture_6]) ).

cnf(c_0_18,plain,
    ( ~ c_in(X1,X2,tc_Message_Omsg)
    | c_in(X1,c_Message_Oparts(X2),tc_Message_Omsg) ),
    inference(fof_simplification,[status(thm)],[cls_Message_Oparts_OInj_0]) ).

cnf(c_0_19,negated_conjecture,
    ( ~ c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg)
    | c_in(v_A,c_Event_Obad,tc_Message_Oagent) ),
    inference(fof_simplification,[status(thm)],[cls_conjecture_4]) ).

cnf(c_0_20,plain,
    ( ~ c_in(c_Event_Oevent_OSays(X1,X2,X3),c_List_Oset(X4,tc_Event_Oevent),tc_Event_Oevent)
    | c_in(X3,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X4)),tc_Message_Omsg) ),
    inference(fof_simplification,[status(thm)],[cls_Event_OSays__imp__analz__Spy__dest_0]) ).

cnf(c_0_21,plain,
    ( ~ c_in(c_Event_Oevent_OGets(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_OSays(v_sko__usf(X2,X3,X1),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_22,negated_conjecture,
    ( ~ c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_Message_Oparts(c_insert(v_X,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4),tc_Message_Omsg)),tc_Message_Omsg)
    | ~ c_in(v_A,c_Event_Obad,tc_Message_Oagent) ),
    c_0_17 ).

cnf(c_0_23,plain,
    ( ~ c_in(X1,X2,tc_Message_Omsg)
    | c_in(X1,c_Message_Oparts(X2),tc_Message_Omsg) ),
    c_0_18 ).

cnf(c_0_24,plain,
    ( ~ c_in(X1,X2,X3)
    | c_in(X1,c_insert(X4,X2,X3),X3) ),
    inference(fof_simplification,[status(thm)],[cls_Set_OinsertCI_0]) ).

cnf(c_0_25,negated_conjecture,
    ( ~ c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg)
    | c_in(v_A,c_Event_Obad,tc_Message_Oagent) ),
    c_0_19 ).

cnf(c_0_26,plain,
    ( ~ c_in(c_Message_Omsg_OMPair(X1,X2),c_Message_Osynth(c_Message_Oanalz(X3)),tc_Message_Omsg)
    | c_in(X2,c_Message_Osynth(c_Message_Oanalz(X3)),tc_Message_Omsg) ),
    inference(fof_simplification,[status(thm)],[cls_Message_OMPair__synth__analz__iff1_1]) ).

cnf(c_0_27,plain,
    ( ~ c_in(X1,X2,tc_Message_Omsg)
    | c_in(X1,c_Message_Osynth(X2),tc_Message_Omsg) ),
    inference(fof_simplification,[status(thm)],[cls_Message_Osynth_OInj_0]) ).

cnf(c_0_28,plain,
    ( ~ c_in(c_Event_Oevent_OSays(X1,X2,X3),c_List_Oset(X4,tc_Event_Oevent),tc_Event_Oevent)
    | c_in(X3,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X4)),tc_Message_Omsg) ),
    c_0_20 ).

cnf(c_0_29,plain,
    ( ~ c_in(c_Event_Oevent_OGets(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_OSays(v_sko__usf(X2,X3,X1),X2,X3),c_List_Oset(X1,tc_Event_Oevent),tc_Event_Oevent) ),
    c_0_21 ).

cnf(c_0_30,negated_conjecture,
    ( ~ c_in(v_A,c_Event_Obad,tc_Message_Oagent)
    | ~ c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_insert(v_X,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4),tc_Message_Omsg),tc_Message_Omsg) ),
    inference(spm,[status(thm)],[c_0_22,c_0_23]) ).

cnf(c_0_31,plain,
    ( ~ c_in(X1,X2,X3)
    | c_in(X1,c_insert(X4,X2,X3),X3) ),
    c_0_24 ).

cnf(c_0_32,negated_conjecture,
    ( ~ c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4),tc_Message_Omsg)
    | c_in(v_A,c_Event_Obad,tc_Message_Oagent) ),
    inference(spm,[status(thm)],[c_0_25,c_0_23]) ).

cnf(c_0_33,plain,
    ( ~ c_in(X1,c_Event_Obad,tc_Message_Oagent)
    | c_in(c_Message_Omsg_OKey(c_Public_OshrK(X1)),c_Event_Oknows(c_Message_Oagent_OSpy,X2),tc_Message_Omsg) ),
    inference(fof_simplification,[status(thm)],[cls_Public_OSpy__spies__bad__shrK_0]) ).

cnf(c_0_34,plain,
    ( ~ c_in(c_Message_Omsg_OMPair(X1,X2),c_Message_Osynth(c_Message_Oanalz(X3)),tc_Message_Omsg)
    | c_in(X2,c_Message_Osynth(c_Message_Oanalz(X3)),tc_Message_Omsg) ),
    c_0_26 ).

cnf(c_0_35,plain,
    ( ~ c_in(X1,X2,tc_Message_Omsg)
    | c_in(X1,c_Message_Osynth(X2),tc_Message_Omsg) ),
    c_0_27 ).

cnf(c_0_36,plain,
    ( ~ c_in(X2,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent))
    | ~ c_in(c_Event_Oevent_OGets(X3,X1),c_List_Oset(X2,tc_Event_Oevent),tc_Event_Oevent)
    | c_in(X1,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X2)),tc_Message_Omsg) ),
    inference(spm,[status(thm)],[c_0_28,c_0_29]) ).

cnf(c_0_37,negated_conjecture,
    c_in(c_Event_Oevent_OGets(v_B,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_OMPair(v_X,c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),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_3 ).

cnf(c_0_38,negated_conjecture,
    c_in(v_evs4,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent)),
    cls_conjecture_0 ).

cnf(c_0_39,negated_conjecture,
    ~ c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4),tc_Message_Omsg),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_31]),c_0_32]) ).

cnf(c_0_40,plain,
    ( ~ c_in(X1,c_Event_Obad,tc_Message_Oagent)
    | c_in(c_Message_Omsg_OKey(c_Public_OshrK(X1)),c_Event_Oknows(c_Message_Oagent_OSpy,X2),tc_Message_Omsg) ),
    c_0_33 ).

cnf(c_0_41,plain,
    ( ~ c_in(c_Message_Omsg_OMPair(X1,X2),c_Message_Osynth(c_Message_Oanalz(X3)),tc_Message_Omsg)
    | c_in(X1,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_42,plain,
    ( ~ c_in(c_Message_Omsg_OMPair(X3,X1),c_Message_Oanalz(X2),tc_Message_Omsg)
    | c_in(X1,c_Message_Osynth(c_Message_Oanalz(X2)),tc_Message_Omsg) ),
    inference(spm,[status(thm)],[c_0_34,c_0_35]) ).

cnf(c_0_43,negated_conjecture,
    c_in(c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_OMPair(v_X,c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),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_36,c_0_37]),c_0_38])]) ).

cnf(c_0_44,plain,
    ( ~ c_in(X2,c_Message_Osynth(c_Message_Oanalz(X3)),tc_Message_Omsg)
    | ~ c_in(X1,c_Message_Oparts(c_insert(X2,X3,tc_Message_Omsg)),tc_Message_Omsg)
    | c_in(X1,c_union(c_Message_Osynth(c_Message_Oanalz(X3)),c_Message_Oparts(X3),tc_Message_Omsg),tc_Message_Omsg) ),
    inference(fof_simplification,[status(thm)],[cls_Message_OFake__parts__insert__in__Un__dest_0]) ).

cnf(c_0_45,negated_conjecture,
    ( c_in(v_A,c_Event_Obad,tc_Message_Oagent)
    | c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_Message_Oparts(c_insert(v_X,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4),tc_Message_Omsg)),tc_Message_Omsg) ),
    cls_conjecture_7 ).

cnf(c_0_46,negated_conjecture,
    ~ c_in(v_A,c_Event_Obad,tc_Message_Oagent),
    inference(spm,[status(thm)],[c_0_39,c_0_40]) ).

cnf(c_0_47,plain,
    ( ~ c_in(c_Message_Omsg_OMPair(X1,X2),c_Message_Osynth(c_Message_Oanalz(X3)),tc_Message_Omsg)
    | c_in(X1,c_Message_Osynth(c_Message_Oanalz(X3)),tc_Message_Omsg) ),
    c_0_41 ).

cnf(c_0_48,negated_conjecture,
    c_in(c_Message_Omsg_OMPair(v_X,c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_OKey(v_K)))),c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4))),tc_Message_Omsg),
    inference(spm,[status(thm)],[c_0_42,c_0_43]) ).

cnf(c_0_49,plain,
    ( ~ c_in(X1,c_union(X2,X3,X4),X4)
    | c_in(X1,X2,X4)
    | c_in(X1,X3,X4) ),
    inference(fof_simplification,[status(thm)],[cls_Set_OUnE_0]) ).

cnf(c_0_50,plain,
    ( ~ c_in(X2,c_Message_Osynth(c_Message_Oanalz(X3)),tc_Message_Omsg)
    | ~ c_in(X1,c_Message_Oparts(c_insert(X2,X3,tc_Message_Omsg)),tc_Message_Omsg)
    | c_in(X1,c_union(c_Message_Osynth(c_Message_Oanalz(X3)),c_Message_Oparts(X3),tc_Message_Omsg),tc_Message_Omsg) ),
    c_0_44 ).

cnf(c_0_51,negated_conjecture,
    c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_Message_Oparts(c_insert(v_X,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4),tc_Message_Omsg)),tc_Message_Omsg),
    inference(sr,[status(thm)],[c_0_45,c_0_46]) ).

cnf(c_0_52,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_47,c_0_48]) ).

cnf(c_0_53,plain,
    ( ~ c_in(c_Message_Omsg_OKey(X1),c_Message_Osynth(X2),tc_Message_Omsg)
    | c_in(c_Message_Omsg_OKey(X1),X2,tc_Message_Omsg) ),
    inference(fof_simplification,[status(thm)],[cls_Message_OKey__synth_0]) ).

cnf(c_0_54,plain,
    ( ~ c_in(X1,c_union(X2,X3,X4),X4)
    | c_in(X1,X2,X4)
    | c_in(X1,X3,X4) ),
    c_0_49 ).

cnf(c_0_55,negated_conjecture,
    c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),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_50,c_0_51]),c_0_52])]) ).

cnf(c_0_56,plain,
    ( ~ c_in(X1,c_Message_Oanalz(X2),tc_Message_Omsg)
    | c_in(X1,c_Message_Oparts(X2),tc_Message_Omsg) ),
    inference(fof_simplification,[status(thm)],[cls_Message_Oanalz__into__parts__dest_0]) ).

cnf(c_0_57,plain,
    ( ~ c_in(c_Message_Omsg_OKey(X1),c_Message_Osynth(X2),tc_Message_Omsg)
    | c_in(c_Message_Omsg_OKey(X1),X2,tc_Message_Omsg) ),
    c_0_53 ).

cnf(c_0_58,negated_conjecture,
    ( c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg)
    | c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4))),tc_Message_Omsg) ),
    inference(spm,[status(thm)],[c_0_54,c_0_55]) ).

cnf(c_0_59,plain,
    ( ~ c_in(X1,c_Message_Oanalz(X2),tc_Message_Omsg)
    | c_in(X1,c_Message_Oparts(X2),tc_Message_Omsg) ),
    c_0_56 ).

cnf(c_0_60,negated_conjecture,
    c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_58]),c_0_59]) ).

cnf(c_0_61,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_25,c_0_60])]),c_0_46]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05  % Problem  : SWV323-2 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.08  % Command  : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.19/0.46  % Computer : n005.cluster.edu
% 0.19/0.46  % Model    : x86_64 x86_64
% 0.19/0.46  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.19/0.46  % Memory   : 8046.5625MB
% 0.19/0.46  % OS       : Linux 6.8.0-71-generic
% 0.19/0.46  % CPULimit : 300
% 0.19/0.46  % WCLimit  : 300
% 0.19/0.46  % DateTime : Mon Sep 21 08:40:48 UTC 2026
% 0.19/0.47  % CPUTime  : 
% 0.19/0.47  Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.25/0.54  Running first-order theorem proving
% 0.25/0.54  Running: /export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p
% 0.25/0.61  % Version: 3.5.1
% 0.25/0.61  % Preprocessing class: FSMSSMSMSSSNFFN.
% 0.25/0.61  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.25/0.61  % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 1500s (5) cores
% 0.25/0.61  % Starting new_bool_3 with 300s (1) cores
% 0.25/0.61  % Starting new_bool_1 with 300s (1) cores
% 0.25/0.61  % Starting sh5l with 300s (1) cores
% 0.25/0.61  % sh5l with pid 3053104 completed with status 0
% 0.25/0.61  % Result found by sh5l
% 0.25/0.61  % Preprocessing class: FSMSSMSMSSSNFFN.
% 0.25/0.61  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.25/0.61  % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 1500s (5) cores
% 0.25/0.61  % Starting new_bool_3 with 300s (1) cores
% 0.25/0.61  % Starting new_bool_1 with 300s (1) cores
% 0.25/0.61  % Starting sh5l with 300s (1) cores
% 0.25/0.61  % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = gf500_gu_R04_F100_L20000)
% 0.25/0.61  % SinE strategy is gf500_gu_R04_F100_L20000
% 0.25/0.61  % Search class: FGHNF-FFMS31-DFFFFFNN
% 0.25/0.61  % Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.25/0.61  % Starting SubtermCWHack with 31s (1) cores
% 0.25/0.61  % SubtermCWHack with pid 3053106 completed with status 0
% 0.25/0.61  % Result found by SubtermCWHack
% 0.25/0.61  % Preprocessing class: FSMSSMSMSSSNFFN.
% 0.25/0.61  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.25/0.61  % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 1500s (5) cores
% 0.25/0.61  % Starting new_bool_3 with 300s (1) cores
% 0.25/0.61  % Starting new_bool_1 with 300s (1) cores
% 0.25/0.61  % Starting sh5l with 300s (1) cores
% 0.25/0.61  % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = gf500_gu_R04_F100_L20000)
% 0.25/0.61  % SinE strategy is gf500_gu_R04_F100_L20000
% 0.25/0.61  % Search class: FGHNF-FFMS31-DFFFFFNN
% 0.25/0.61  % Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.25/0.61  % Starting SubtermCWHack with 31s (1) cores
% 0.25/0.61  % Preprocessing time       : 0.002 s
% 0.25/0.61  
% 0.25/0.61  % Proof found!
% 0.25/0.61  % SZS status Unsatisfiable
% 0.25/0.61  % SZS output start CNFRefutation
% See solution above
% 0.25/0.61  % Parsed axioms                        : 17
% 0.25/0.61  % Removed by relevancy pruning/SinE    : 0
% 0.25/0.61  % Initial clauses                      : 17
% 0.25/0.61  % Removed in clause preprocessing      : 0
% 0.25/0.61  % Initial clauses in saturation        : 17
% 0.25/0.61  % Processed clauses                    : 35
% 0.25/0.61  % ...of these trivial                  : 0
% 0.25/0.61  % ...subsumed                          : 0
% 0.25/0.61  % ...remaining for further processing  : 35
% 0.25/0.61  % Other redundant clauses eliminated   : 0
% 0.25/0.61  % Clauses deleted for lack of memory   : 0
% 0.25/0.61  % Backward-subsumed                    : 3
% 0.25/0.61  % Backward-rewritten                   : 2
% 0.25/0.61  % Generated clauses                    : 24
% 0.25/0.61  % ...of the previous two non-redundant : 21
% 0.25/0.61  % ...aggressively subsumed             : 0
% 0.25/0.61  % Contextual simplify-reflections      : 2
% 0.25/0.61  % Paramodulations                      : 23
% 0.25/0.61  % Factorizations                       : 0
% 0.25/0.61  % NegExts                              : 0
% 0.25/0.61  % Equation resolutions                 : 0
% 0.25/0.61  % Disequality decompositions           : 0
% 0.25/0.61  % Total rewrite steps                  : 4
% 0.25/0.61  % ...of those cached                   : 1
% 0.25/0.61  % Propositional unsat checks           : 0
% 0.25/0.61  %    Propositional check models        : 0
% 0.25/0.61  %    Propositional check unsatisfiable : 0
% 0.25/0.61  %    Propositional clauses             : 0
% 0.25/0.61  %    Propositional clauses after purity: 0
% 0.25/0.61  %    Propositional unsat core size     : 0
% 0.25/0.61  %    Propositional preprocessing time  : 0.000
% 0.25/0.61  %    Propositional encoding time       : 0.000
% 0.25/0.61  %    Propositional solver time         : 0.000
% 0.25/0.61  %    Success case prop preproc time    : 0.000
% 0.25/0.61  %    Success case prop encoding time   : 0.000
% 0.25/0.61  %    Success case prop solver time     : 0.000
% 0.25/0.61  % Current number of processed clauses  : 29
% 0.40/0.61  %    Positive orientable unit clauses  : 10
% 0.40/0.61  %    Positive unorientable unit clauses: 0
% 0.40/0.61  %    Negative unit clauses             : 2
% 0.40/0.61  %    Non-unit-clauses                  : 17
% 0.40/0.61  % Current number of unprocessed clauses: 2
% 0.40/0.61  % ...number of literals in the above   : 6
% 0.40/0.61  % Current number of archived formulas  : 0
% 0.40/0.61  % Current number of archived clauses   : 6
% 0.40/0.61  % Clause-clause subsumption calls (NU) : 112
% 0.40/0.61  % Rec. Clause-clause subsumption calls : 104
% 0.40/0.61  % Non-unit clause-clause subsumptions  : 2
% 0.40/0.61  % Unit Clause-clause subsumption calls : 7
% 0.40/0.61  % Rewrite failures with RHS unbound    : 0
% 0.40/0.61  % BW rewrite match attempts            : 1
% 0.40/0.61  % BW rewrite match successes           : 1
% 0.40/0.61  % Condensation attempts                : 0
% 0.40/0.61  % Condensation successes               : 0
% 0.40/0.61  % Termbank termtop insertions          : 1158
% 0.40/0.61  % Search garbage collected termcells   : 43
% 0.40/0.61  
% 0.40/0.61  % -------------------------------------------------
% 0.40/0.61  % User time                : 0.012 s
% 0.40/0.61  % System time              : 0.000 s
% 0.40/0.61  % Total time               : 0.012 s
% 0.40/0.61  % Maximum resident set size: 3656 pages
% 0.40/0.61  
% 0.40/0.61  % -------------------------------------------------
% 0.40/0.61  % User time                : 0.016 s
% 0.40/0.61  % System time              : 0.006 s
% 0.40/0.61  % Total time               : 0.022 s
% 0.40/0.61  % Maximum resident set size: 4608 pages
% 0.40/0.61  % E exiting
%------------------------------------------------------------------------------