TSTP Solution File: SWV294-1 by Drodi---3.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : SWV294-1 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n022.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 : Wed May 31 12:41:13 EDT 2023
% Result : Unsatisfiable 81.57s 10.72s
% Output : CNFRefutation 82.62s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.09 % Problem : SWV294-1 : TPTP v8.1.2. Released v3.2.0.
% 0.02/0.09 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.08/0.29 % Computer : n022.cluster.edu
% 0.08/0.29 % Model : x86_64 x86_64
% 0.08/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.29 % Memory : 8042.1875MB
% 0.08/0.29 % OS : Linux 3.10.0-693.el7.x86_64
% 0.08/0.29 % CPULimit : 300
% 0.08/0.29 % WCLimit : 300
% 0.08/0.29 % DateTime : Tue May 30 11:36:42 EDT 2023
% 0.08/0.29 % CPUTime :
% 0.15/0.33 % Drodi V3.5.1
% 81.57/10.72 % Refutation found
% 81.57/10.72 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 81.57/10.72 % SZS output start CNFRefutation for theBenchmark
% 81.57/10.72 fof(f66,axiom,(
% 81.57/10.72 (![V_n]: (~ c_less(V_n,V_n,tc_nat) ))),
% 81.57/10.72 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 81.57/10.72 fof(f96,axiom,(
% 81.57/10.72 (![V_A,V_C,T_a]: (( c_in(V_A,c_Inter(V_C,T_a),T_a)| c_in(c_Main_OInterI__1(V_A,V_C,T_a),V_C,tc_set(T_a)) ) ))),
% 81.57/10.72 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 81.57/10.72 fof(f98,axiom,(
% 81.57/10.72 (![V_x,T_a]: (c_in(V_x,c_UNIV,T_a) ))),
% 81.57/10.72 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 81.57/10.72 fof(f109,axiom,(
% 81.57/10.72 (![V_A,V_B,T_a]: (( c_in(c_Main_OsubsetI__1(V_A,V_B,T_a),V_A,T_a)| c_lessequals(V_A,V_B,tc_set(T_a)) ) ))),
% 81.57/10.72 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 81.57/10.72 fof(f110,axiom,(
% 81.57/10.72 (![V_A,V_B,T_a]: (( ~ c_in(c_Main_OsubsetI__1(V_A,V_B,T_a),V_B,T_a)| c_lessequals(V_A,V_B,tc_set(T_a)) ) ))),
% 81.57/10.72 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 81.57/10.72 fof(f111,axiom,(
% 81.57/10.72 (![V_B,V_A,T_a]: (( ~ c_lessequals(V_B,V_A,tc_set(T_a))| ~ c_lessequals(V_A,V_B,tc_set(T_a))| V_A = V_B ) ))),
% 81.57/10.72 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 81.57/10.72 fof(f174,axiom,(
% 81.57/10.72 class_Orderings_Oord(tc_IntDef_Oint) ),
% 81.57/10.72 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 81.57/10.72 fof(f210,axiom,(
% 81.57/10.72 class_Orderings_Oord(tc_nat) ),
% 81.57/10.72 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 81.57/10.72 fof(f221,axiom,(
% 81.57/10.72 class_Orderings_Oorder(tc_nat) ),
% 81.57/10.72 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 81.57/10.72 fof(f243,axiom,(
% 81.57/10.72 class_Orderings_Olinorder(tc_nat) ),
% 81.57/10.72 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 81.57/10.72 fof(f248,axiom,(
% 81.57/10.72 (![T_1]: (class_Orderings_Oord(tc_set(T_1)) ))),
% 81.57/10.72 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 81.57/10.72 fof(f249,axiom,(
% 81.57/10.72 (![T_1]: (class_Orderings_Oorder(tc_set(T_1)) ))),
% 81.57/10.72 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 81.57/10.72 fof(f1164,axiom,(
% 81.57/10.72 (![V_a_H,T_a]: (c_Datatype_Ooption_ONone != c_Datatype_Ooption_OSome(V_a_H,T_a) ))),
% 81.57/10.72 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 81.57/10.72 fof(f1202,axiom,(
% 81.57/10.72 ~ c_in(c_UNIV,c_Finite__Set_OFinites,tc_set(tc_nat)) ),
% 81.57/10.72 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 81.57/10.72 fof(f1232,axiom,(
% 81.57/10.72 (![V_xs,T_a]: (( c_Nat_Osize(V_xs,tc_List_Olist(T_a)) != c_0| V_xs = c_List_Olist_ONil ) ))),
% 81.57/10.72 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 81.57/10.72 fof(f1238,axiom,(
% 81.57/10.72 (![V_a_H,V_list_H,T_a]: (c_List_Olist_ONil != c_List_Olist_OCons(V_a_H,V_list_H,T_a) ))),
% 81.57/10.72 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 81.57/10.72 fof(f1261,axiom,(
% 81.57/10.72 (![V_m]: (c_Suc(V_m) != c_0 ))),
% 81.57/10.72 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 81.57/10.72 fof(f1274,axiom,(
% 81.57/10.72 c_less(c_0,c_1,tc_nat) ),
% 81.57/10.72 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 81.57/10.72 fof(f1279,axiom,(
% 81.57/10.72 (![V_n]: (~ c_less(V_n,c_0,tc_nat) ))),
% 81.57/10.72 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 81.57/10.72 fof(f1285,axiom,(
% 81.57/10.72 (![V_a,T_a]: (c_in(c_Pair(V_a,V_a,T_a,T_a),c_Relation_OId,tc_prod(T_a,T_a)) ))),
% 81.57/10.72 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 81.57/10.72 fof(f1328,axiom,(
% 81.57/10.72 (![V_c,V_A,V_B,T_a]: (( ~ c_in(V_c,c_union(V_A,V_B,T_a),T_a)| c_in(V_c,V_B,T_a)| c_in(V_c,V_A,T_a) ) ))),
% 81.57/10.72 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 81.57/10.72 fof(f1333,axiom,(
% 81.57/10.72 (![V_a,T_a]: (~ c_in(V_a,c_emptyset,T_a) ))),
% 81.57/10.72 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 81.57/10.72 fof(f1359,axiom,(
% 81.57/10.72 c_in(c_Message_Oagent_OSpy,c_Event_Obad,tc_Message_Oagent) ),
% 81.57/10.72 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 81.57/10.72 fof(f1374,axiom,(
% 81.57/10.72 (![V_K,V_X,V_H]: (( ~ c_in(c_Message_Omsg_OCrypt(V_K,V_X),c_Message_Osynth(V_H),tc_Message_Omsg)| c_in(c_Message_Omsg_OCrypt(V_K,V_X),V_H,tc_Message_Omsg)| c_in(c_Message_Omsg_OKey(V_K),V_H,tc_Message_Omsg) ) ))),
% 81.57/10.72 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 81.57/10.72 fof(f1395,axiom,(
% 81.57/10.72 (![V_X,V_Y,V_H]: (( ~ c_in(c_Message_Omsg_OMPair(V_X,V_Y),c_Message_Oanalz(V_H),tc_Message_Omsg)| c_in(V_Y,c_Message_Oanalz(V_H),tc_Message_Omsg) ) ))),
% 81.57/10.72 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 81.57/10.72 fof(f1396,axiom,(
% 81.57/10.72 (![V_X,V_Y,V_H]: (( ~ c_in(c_Message_Omsg_OMPair(V_X,V_Y),c_Message_Oanalz(V_H),tc_Message_Omsg)| c_in(V_X,c_Message_Oanalz(V_H),tc_Message_Omsg) ) ))),
% 81.57/10.72 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 81.57/10.72 fof(f1400,axiom,(
% 81.57/10.72 (![V_X,V_Y,V_H]: (( ~ c_in(c_Message_Omsg_OMPair(V_X,V_Y),c_Message_Oparts(V_H),tc_Message_Omsg)| c_in(V_Y,c_Message_Oparts(V_H),tc_Message_Omsg) ) ))),
% 81.57/10.72 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 81.57/10.72 fof(f1404,axiom,(
% 81.57/10.72 (![V_X,V_Y,V_H]: (( ~ c_in(c_Message_Omsg_OMPair(V_X,V_Y),c_Message_Osynth(c_Message_Oanalz(V_H)),tc_Message_Omsg)| c_in(V_X,c_Message_Osynth(c_Message_Oanalz(V_H)),tc_Message_Omsg) ) ))),
% 81.57/10.72 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 81.57/10.72 fof(f1405,axiom,(
% 81.57/10.72 (![V_X,V_Y,V_H]: (( ~ c_in(c_Message_Omsg_OMPair(V_X,V_Y),c_Message_Osynth(c_Message_Oanalz(V_H)),tc_Message_Omsg)| c_in(V_Y,c_Message_Osynth(c_Message_Oanalz(V_H)),tc_Message_Omsg) ) ))),
% 81.57/10.72 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 81.57/10.72 fof(f1406,axiom,(
% 81.57/10.72 (![V_Y,V_H,V_X]: (( ~ c_in(V_Y,c_Message_Osynth(c_Message_Oanalz(V_H)),tc_Message_Omsg)| ~ c_in(V_X,c_Message_Osynth(c_Message_Oanalz(V_H)),tc_Message_Omsg)| c_in(c_Message_Omsg_OMPair(V_X,V_Y),c_Message_Osynth(c_Message_Oanalz(V_H)),tc_Message_Omsg) ) ))),
% 81.57/10.72 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 81.57/10.72 fof(f1415,axiom,(
% 81.57/10.72 (![V_X,V_H]: (( ~ c_in(V_X,V_H,tc_Message_Omsg)| c_in(V_X,c_Message_Oanalz(V_H),tc_Message_Omsg) ) ))),
% 81.57/10.72 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 81.57/10.72 fof(f1416,axiom,(
% 81.57/10.72 (![V_X,V_H]: (( ~ c_in(V_X,c_Message_Oanalz(c_Message_Oanalz(V_H)),tc_Message_Omsg)| c_in(V_X,c_Message_Oanalz(V_H),tc_Message_Omsg) ) ))),
% 81.57/10.72 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 81.57/10.72 fof(f1427,axiom,(
% 81.57/10.72 (![V_X,V_H]: (( ~ c_in(V_X,V_H,tc_Message_Omsg)| c_in(V_X,c_Message_Oparts(V_H),tc_Message_Omsg) ) ))),
% 81.57/10.72 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 81.57/10.72 fof(f1429,axiom,(
% 81.57/10.72 (![V_X,V_H]: (( ~ c_in(V_X,c_Message_Oparts(c_Message_Oparts(V_H)),tc_Message_Omsg)| c_in(V_X,c_Message_Oparts(V_H),tc_Message_Omsg) ) ))),
% 81.57/10.72 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 81.57/10.72 fof(f1433,axiom,(
% 81.57/10.72 (![V_X,V_H]: (( ~ c_in(V_X,V_H,tc_Message_Omsg)| c_in(V_X,c_Message_Osynth(V_H),tc_Message_Omsg) ) ))),
% 81.57/10.72 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 81.57/10.72 fof(f1434,axiom,(
% 81.57/10.72 (![V_Y,V_H,V_X]: (( ~ c_in(V_Y,c_Message_Osynth(V_H),tc_Message_Omsg)| ~ c_in(V_X,c_Message_Osynth(V_H),tc_Message_Omsg)| c_in(c_Message_Omsg_OMPair(V_X,V_Y),c_Message_Osynth(V_H),tc_Message_Omsg) ) ))),
% 81.57/10.72 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 81.57/10.72 fof(f1435,axiom,(
% 81.57/10.72 (![V_n,V_H]: (c_in(c_Message_Omsg_ONumber(V_n),c_Message_Osynth(V_H),tc_Message_Omsg) ))),
% 81.57/10.72 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 81.57/10.72 fof(f1437,axiom,(
% 81.57/10.72 (![V_A,V_B,V_X,V_evs]: (( ~ c_in(c_Event_Oevent_OSays(V_A,V_B,V_X),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent)| c_in(V_X,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg) ) ))),
% 81.57/10.72 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 81.57/10.72 fof(f1438,axiom,(
% 81.57/10.72 (![V_Z,V_X,V_H]: (( ~ c_in(V_Z,c_Message_Oparts(c_insert(V_X,V_H,tc_Message_Omsg)),tc_Message_Omsg)| ~ c_in(V_X,c_Message_Osynth(c_Message_Oanalz(V_H)),tc_Message_Omsg)| c_in(V_Z,c_union(c_Message_Osynth(c_Message_Oanalz(V_H)),c_Message_Oparts(V_H),tc_Message_Omsg),tc_Message_Omsg) ) ))),
% 81.57/10.72 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 81.57/10.72 fof(f1440,axiom,(
% 81.57/10.72 (![V_c,V_H]: (( ~ c_in(V_c,c_Message_Oanalz(V_H),tc_Message_Omsg)| c_in(V_c,c_Message_Oparts(V_H),tc_Message_Omsg) ) ))),
% 81.57/10.72 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 81.57/10.72 fof(f1443,axiom,(
% 81.57/10.72 (![V_evs,V_A]: (( ~ c_in(V_evs,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent))| ~ c_in(c_Message_Omsg_OKey(c_Public_OshrK(V_A)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg)| c_in(V_A,c_Event_Obad,tc_Message_Oagent) ) ))),
% 81.57/10.72 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 81.57/10.72 fof(f1448,axiom,(
% 81.57/10.72 (![V_A,V_b,V_evs]: (( ~ c_in(V_A,c_Event_Obad,tc_Message_Oagent)| c_in(c_Message_Omsg_OKey(c_Message_OinvKey(c_Public_OpublicKey(V_b,V_A))),c_Event_Oknows(c_Message_Oagent_OSpy,V_evs),tc_Message_Omsg) ) ))),
% 81.57/10.72 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 81.57/10.72 fof(f1467,axiom,(
% 81.57/10.72 (![V_A,V_evs]: (c_in(c_Message_Omsg_OKey(c_Public_OshrK(V_A)),c_Event_Oknows(V_A,V_evs),tc_Message_Omsg) ))),
% 81.57/10.72 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 81.57/10.72 fof(f1475,negated_conjecture,(
% 81.57/10.72 ~ c_in(v_A,c_Event_Obad,tc_Message_Oagent) ),
% 81.57/10.72 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 81.57/10.72 fof(f1476,negated_conjecture,(
% 81.57/10.72 c_in(v_evsf,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent)) ),
% 81.57/10.72 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 81.57/10.72 fof(f1485,negated_conjecture,(
% 81.57/10.72 ( c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,v_B,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OKey(v_K))),c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(v_x,c_Message_Omsg_OKey(v_K)))))),c_List_Oset(v_evsf,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_OKey(v_K))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg)| ~ 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_evsf,tc_Event_Oevent),tc_Event_Oevent) ) ),
% 81.57/10.72 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 81.57/10.72 fof(f1486,negated_conjecture,(
% 81.57/10.72 c_in(v_X,c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_Message_Omsg) ),
% 81.57/10.72 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 81.57/10.72 fof(f1487,negated_conjecture,(
% 81.57/10.72 ( 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_evsf,tc_Event_Oevent),tc_Event_Oevent)| v_A = c_Message_Oagent_OSpy ) ),
% 81.57/10.72 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 81.57/10.72 fof(f1488,negated_conjecture,(
% 81.57/10.72 ( c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OKey(v_K))),c_Message_Oparts(c_insert(v_X,c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf),tc_Message_Omsg)),tc_Message_Omsg)| v_A = c_Message_Oagent_OSpy ) ),
% 81.57/10.72 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 81.57/10.72 fof(f1489,negated_conjecture,(
% 81.57/10.72 (![V_V]: (( ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,v_B,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OKey(v_K))),c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(V_V,c_Message_Omsg_OKey(v_K)))))),c_List_Oset(v_evsf,tc_Event_Oevent),tc_Event_Oevent)| v_A = c_Message_Oagent_OSpy ) ))),
% 81.57/10.72 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 81.57/10.72 fof(f1582,plain,(
% 81.57/10.72 ![X0]: (~c_less(X0,X0,tc_nat))),
% 81.57/10.72 inference(cnf_transformation,[status(esa)],[f66])).
% 81.57/10.72 fof(f1617,plain,(
% 81.57/10.72 ![X0,X1,X2]: (c_in(X0,c_Inter(X1,X2),X2)|c_in(c_Main_OInterI__1(X0,X1,X2),X1,tc_set(X2)))),
% 81.57/10.72 inference(cnf_transformation,[status(esa)],[f96])).
% 81.57/10.72 fof(f1619,plain,(
% 81.57/10.72 ![X0,X1]: (c_in(X0,c_UNIV,X1))),
% 81.57/10.72 inference(cnf_transformation,[status(esa)],[f98])).
% 81.57/10.72 fof(f1634,plain,(
% 81.57/10.72 ![X0,X1,X2]: (c_in(c_Main_OsubsetI__1(X0,X1,X2),X0,X2)|c_lessequals(X0,X1,tc_set(X2)))),
% 81.57/10.72 inference(cnf_transformation,[status(esa)],[f109])).
% 81.57/10.72 fof(f1635,plain,(
% 81.57/10.72 ![X0,X1,X2]: (~c_in(c_Main_OsubsetI__1(X0,X1,X2),X1,X2)|c_lessequals(X0,X1,tc_set(X2)))),
% 81.57/10.72 inference(cnf_transformation,[status(esa)],[f110])).
% 81.57/10.72 fof(f1636,plain,(
% 81.57/10.72 ![V_B,V_A]: ((![T_a]: (~c_lessequals(V_B,V_A,tc_set(T_a))|~c_lessequals(V_A,V_B,tc_set(T_a))))|V_A=V_B)),
% 81.57/10.72 inference(miniscoping,[status(esa)],[f111])).
% 81.57/10.72 fof(f1637,plain,(
% 81.57/10.72 ![X0,X1,X2]: (~c_lessequals(X0,X1,tc_set(X2))|~c_lessequals(X1,X0,tc_set(X2))|X1=X0)),
% 81.57/10.72 inference(cnf_transformation,[status(esa)],[f1636])).
% 81.57/10.72 fof(f1706,plain,(
% 81.57/10.72 class_Orderings_Oord(tc_IntDef_Oint)),
% 81.57/10.72 inference(cnf_transformation,[status(esa)],[f174])).
% 81.57/10.72 fof(f1743,plain,(
% 81.57/10.72 class_Orderings_Oord(tc_nat)),
% 81.57/10.72 inference(cnf_transformation,[status(esa)],[f210])).
% 81.57/10.72 fof(f1754,plain,(
% 81.57/10.72 class_Orderings_Oorder(tc_nat)),
% 81.57/10.72 inference(cnf_transformation,[status(esa)],[f221])).
% 81.57/10.72 fof(f1776,plain,(
% 81.57/10.72 class_Orderings_Olinorder(tc_nat)),
% 81.57/10.72 inference(cnf_transformation,[status(esa)],[f243])).
% 81.57/10.72 fof(f1782,plain,(
% 81.57/10.72 ![X0]: (class_Orderings_Oord(tc_set(X0)))),
% 81.57/10.72 inference(cnf_transformation,[status(esa)],[f248])).
% 81.57/10.72 fof(f1783,plain,(
% 81.57/10.72 ![X0]: (class_Orderings_Oorder(tc_set(X0)))),
% 81.57/10.72 inference(cnf_transformation,[status(esa)],[f249])).
% 81.57/10.72 fof(f2701,plain,(
% 81.57/10.72 ![X0,X1]: (~c_Datatype_Ooption_ONone=c_Datatype_Ooption_OSome(X0,X1))),
% 81.57/10.72 inference(cnf_transformation,[status(esa)],[f1164])).
% 81.57/10.72 fof(f2753,plain,(
% 81.57/10.72 ~c_in(c_UNIV,c_Finite__Set_OFinites,tc_set(tc_nat))),
% 81.57/10.72 inference(cnf_transformation,[status(esa)],[f1202])).
% 81.57/10.72 fof(f2797,plain,(
% 81.57/10.72 ![V_xs]: ((![T_a]: ~c_Nat_Osize(V_xs,tc_List_Olist(T_a))=c_0)|V_xs=c_List_Olist_ONil)),
% 81.57/10.72 inference(miniscoping,[status(esa)],[f1232])).
% 81.57/10.72 fof(f2798,plain,(
% 81.57/10.72 ![X0,X1]: (~c_Nat_Osize(X0,tc_List_Olist(X1))=c_0|X0=c_List_Olist_ONil)),
% 81.57/10.72 inference(cnf_transformation,[status(esa)],[f2797])).
% 81.57/10.72 fof(f2805,plain,(
% 81.57/10.72 ![X0,X1,X2]: (~c_List_Olist_ONil=c_List_Olist_OCons(X0,X1,X2))),
% 81.57/10.72 inference(cnf_transformation,[status(esa)],[f1238])).
% 81.57/10.72 fof(f2837,plain,(
% 81.57/10.72 ![X0]: (~c_Suc(X0)=c_0)),
% 81.57/10.72 inference(cnf_transformation,[status(esa)],[f1261])).
% 81.57/10.72 fof(f2855,plain,(
% 81.57/10.72 c_less(c_0,c_1,tc_nat)),
% 81.57/10.72 inference(cnf_transformation,[status(esa)],[f1274])).
% 81.57/10.72 fof(f2860,plain,(
% 81.57/10.72 ![X0]: (~c_less(X0,c_0,tc_nat))),
% 81.57/10.72 inference(cnf_transformation,[status(esa)],[f1279])).
% 81.57/10.72 fof(f2869,plain,(
% 81.57/10.72 ![X0,X1]: (c_in(c_Pair(X0,X0,X1,X1),c_Relation_OId,tc_prod(X1,X1)))),
% 81.57/10.72 inference(cnf_transformation,[status(esa)],[f1285])).
% 81.57/10.72 fof(f2925,plain,(
% 81.57/10.72 ![V_c,V_A,T_a]: ((![V_B]: (~c_in(V_c,c_union(V_A,V_B,T_a),T_a)|c_in(V_c,V_B,T_a)))|c_in(V_c,V_A,T_a))),
% 81.57/10.72 inference(miniscoping,[status(esa)],[f1328])).
% 81.57/10.72 fof(f2926,plain,(
% 81.57/10.72 ![X0,X1,X2,X3]: (~c_in(X0,c_union(X1,X2,X3),X3)|c_in(X0,X2,X3)|c_in(X0,X1,X3))),
% 81.57/10.72 inference(cnf_transformation,[status(esa)],[f2925])).
% 81.57/10.72 fof(f2934,plain,(
% 81.57/10.72 ![X0,X1]: (~c_in(X0,c_emptyset,X1))),
% 81.57/10.72 inference(cnf_transformation,[status(esa)],[f1333])).
% 81.57/10.72 fof(f2970,plain,(
% 81.57/10.72 c_in(c_Message_Oagent_OSpy,c_Event_Obad,tc_Message_Oagent)),
% 81.57/10.72 inference(cnf_transformation,[status(esa)],[f1359])).
% 81.57/10.72 fof(f2992,plain,(
% 81.57/10.72 ![V_K,V_H]: ((![V_X]: (~c_in(c_Message_Omsg_OCrypt(V_K,V_X),c_Message_Osynth(V_H),tc_Message_Omsg)|c_in(c_Message_Omsg_OCrypt(V_K,V_X),V_H,tc_Message_Omsg)))|c_in(c_Message_Omsg_OKey(V_K),V_H,tc_Message_Omsg))),
% 81.57/10.72 inference(miniscoping,[status(esa)],[f1374])).
% 81.57/10.72 fof(f2993,plain,(
% 81.57/10.72 ![X0,X1,X2]: (~c_in(c_Message_Omsg_OCrypt(X0,X1),c_Message_Osynth(X2),tc_Message_Omsg)|c_in(c_Message_Omsg_OCrypt(X0,X1),X2,tc_Message_Omsg)|c_in(c_Message_Omsg_OKey(X0),X2,tc_Message_Omsg))),
% 81.57/10.72 inference(cnf_transformation,[status(esa)],[f2992])).
% 81.57/10.72 fof(f3018,plain,(
% 81.57/10.72 ![V_Y,V_H]: ((![V_X]: ~c_in(c_Message_Omsg_OMPair(V_X,V_Y),c_Message_Oanalz(V_H),tc_Message_Omsg))|c_in(V_Y,c_Message_Oanalz(V_H),tc_Message_Omsg))),
% 81.57/10.72 inference(miniscoping,[status(esa)],[f1395])).
% 81.57/10.72 fof(f3019,plain,(
% 81.57/10.72 ![X0,X1,X2]: (~c_in(c_Message_Omsg_OMPair(X0,X1),c_Message_Oanalz(X2),tc_Message_Omsg)|c_in(X1,c_Message_Oanalz(X2),tc_Message_Omsg))),
% 81.57/10.72 inference(cnf_transformation,[status(esa)],[f3018])).
% 81.57/10.72 fof(f3020,plain,(
% 81.57/10.72 ![V_X,V_H]: ((![V_Y]: ~c_in(c_Message_Omsg_OMPair(V_X,V_Y),c_Message_Oanalz(V_H),tc_Message_Omsg))|c_in(V_X,c_Message_Oanalz(V_H),tc_Message_Omsg))),
% 81.57/10.72 inference(miniscoping,[status(esa)],[f1396])).
% 81.57/10.72 fof(f3021,plain,(
% 81.57/10.72 ![X0,X1,X2]: (~c_in(c_Message_Omsg_OMPair(X0,X1),c_Message_Oanalz(X2),tc_Message_Omsg)|c_in(X0,c_Message_Oanalz(X2),tc_Message_Omsg))),
% 81.57/10.72 inference(cnf_transformation,[status(esa)],[f3020])).
% 81.57/10.72 fof(f3027,plain,(
% 81.57/10.72 ![V_Y,V_H]: ((![V_X]: ~c_in(c_Message_Omsg_OMPair(V_X,V_Y),c_Message_Oparts(V_H),tc_Message_Omsg))|c_in(V_Y,c_Message_Oparts(V_H),tc_Message_Omsg))),
% 81.57/10.72 inference(miniscoping,[status(esa)],[f1400])).
% 81.57/10.72 fof(f3028,plain,(
% 81.57/10.72 ![X0,X1,X2]: (~c_in(c_Message_Omsg_OMPair(X0,X1),c_Message_Oparts(X2),tc_Message_Omsg)|c_in(X1,c_Message_Oparts(X2),tc_Message_Omsg))),
% 81.57/10.72 inference(cnf_transformation,[status(esa)],[f3027])).
% 81.57/10.72 fof(f3033,plain,(
% 81.57/10.72 ![V_X,V_H]: ((![V_Y]: ~c_in(c_Message_Omsg_OMPair(V_X,V_Y),c_Message_Osynth(c_Message_Oanalz(V_H)),tc_Message_Omsg))|c_in(V_X,c_Message_Osynth(c_Message_Oanalz(V_H)),tc_Message_Omsg))),
% 81.57/10.72 inference(miniscoping,[status(esa)],[f1404])).
% 81.57/10.72 fof(f3034,plain,(
% 81.57/10.72 ![X0,X1,X2]: (~c_in(c_Message_Omsg_OMPair(X0,X1),c_Message_Osynth(c_Message_Oanalz(X2)),tc_Message_Omsg)|c_in(X0,c_Message_Osynth(c_Message_Oanalz(X2)),tc_Message_Omsg))),
% 81.57/10.72 inference(cnf_transformation,[status(esa)],[f3033])).
% 81.57/10.72 fof(f3035,plain,(
% 81.57/10.72 ![V_Y,V_H]: ((![V_X]: ~c_in(c_Message_Omsg_OMPair(V_X,V_Y),c_Message_Osynth(c_Message_Oanalz(V_H)),tc_Message_Omsg))|c_in(V_Y,c_Message_Osynth(c_Message_Oanalz(V_H)),tc_Message_Omsg))),
% 81.57/10.72 inference(miniscoping,[status(esa)],[f1405])).
% 81.57/10.72 fof(f3036,plain,(
% 81.57/10.72 ![X0,X1,X2]: (~c_in(c_Message_Omsg_OMPair(X0,X1),c_Message_Osynth(c_Message_Oanalz(X2)),tc_Message_Omsg)|c_in(X1,c_Message_Osynth(c_Message_Oanalz(X2)),tc_Message_Omsg))),
% 81.57/10.72 inference(cnf_transformation,[status(esa)],[f3035])).
% 81.57/10.72 fof(f3037,plain,(
% 81.57/10.72 ![X0,X1,X2]: (~c_in(X0,c_Message_Osynth(c_Message_Oanalz(X1)),tc_Message_Omsg)|~c_in(X2,c_Message_Osynth(c_Message_Oanalz(X1)),tc_Message_Omsg)|c_in(c_Message_Omsg_OMPair(X2,X0),c_Message_Osynth(c_Message_Oanalz(X1)),tc_Message_Omsg))),
% 81.57/10.72 inference(cnf_transformation,[status(esa)],[f1406])).
% 81.57/10.72 fof(f3046,plain,(
% 81.57/10.72 ![X0,X1]: (~c_in(X0,X1,tc_Message_Omsg)|c_in(X0,c_Message_Oanalz(X1),tc_Message_Omsg))),
% 81.57/10.72 inference(cnf_transformation,[status(esa)],[f1415])).
% 81.57/10.72 fof(f3047,plain,(
% 81.57/10.72 ![X0,X1]: (~c_in(X0,c_Message_Oanalz(c_Message_Oanalz(X1)),tc_Message_Omsg)|c_in(X0,c_Message_Oanalz(X1),tc_Message_Omsg))),
% 81.57/10.72 inference(cnf_transformation,[status(esa)],[f1416])).
% 81.57/10.72 fof(f3063,plain,(
% 81.57/10.72 ![X0,X1]: (~c_in(X0,X1,tc_Message_Omsg)|c_in(X0,c_Message_Oparts(X1),tc_Message_Omsg))),
% 81.57/10.72 inference(cnf_transformation,[status(esa)],[f1427])).
% 81.57/10.72 fof(f3065,plain,(
% 81.57/10.72 ![X0,X1]: (~c_in(X0,c_Message_Oparts(c_Message_Oparts(X1)),tc_Message_Omsg)|c_in(X0,c_Message_Oparts(X1),tc_Message_Omsg))),
% 81.57/10.72 inference(cnf_transformation,[status(esa)],[f1429])).
% 81.57/10.72 fof(f3069,plain,(
% 81.57/10.72 ![X0,X1]: (~c_in(X0,X1,tc_Message_Omsg)|c_in(X0,c_Message_Osynth(X1),tc_Message_Omsg))),
% 81.57/10.72 inference(cnf_transformation,[status(esa)],[f1433])).
% 81.57/10.72 fof(f3070,plain,(
% 81.57/10.72 ![X0,X1,X2]: (~c_in(X0,c_Message_Osynth(X1),tc_Message_Omsg)|~c_in(X2,c_Message_Osynth(X1),tc_Message_Omsg)|c_in(c_Message_Omsg_OMPair(X2,X0),c_Message_Osynth(X1),tc_Message_Omsg))),
% 81.57/10.72 inference(cnf_transformation,[status(esa)],[f1434])).
% 81.57/10.72 fof(f3071,plain,(
% 81.57/10.72 ![X0,X1]: (c_in(c_Message_Omsg_ONumber(X0),c_Message_Osynth(X1),tc_Message_Omsg))),
% 81.57/10.72 inference(cnf_transformation,[status(esa)],[f1435])).
% 81.57/10.72 fof(f3073,plain,(
% 81.57/10.72 ![V_X,V_evs]: ((![V_A,V_B]: ~c_in(c_Event_Oevent_OSays(V_A,V_B,V_X),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent))|c_in(V_X,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg))),
% 81.57/10.72 inference(miniscoping,[status(esa)],[f1437])).
% 81.57/10.72 fof(f3074,plain,(
% 81.57/10.72 ![X0,X1,X2,X3]: (~c_in(c_Event_Oevent_OSays(X0,X1,X2),c_List_Oset(X3,tc_Event_Oevent),tc_Event_Oevent)|c_in(X2,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X3)),tc_Message_Omsg))),
% 81.57/10.72 inference(cnf_transformation,[status(esa)],[f3073])).
% 81.57/10.72 fof(f3075,plain,(
% 81.57/10.72 ![V_Z,V_H]: ((![V_X]: (~c_in(V_Z,c_Message_Oparts(c_insert(V_X,V_H,tc_Message_Omsg)),tc_Message_Omsg)|~c_in(V_X,c_Message_Osynth(c_Message_Oanalz(V_H)),tc_Message_Omsg)))|c_in(V_Z,c_union(c_Message_Osynth(c_Message_Oanalz(V_H)),c_Message_Oparts(V_H),tc_Message_Omsg),tc_Message_Omsg))),
% 81.57/10.72 inference(miniscoping,[status(esa)],[f1438])).
% 81.57/10.72 fof(f3076,plain,(
% 81.57/10.72 ![X0,X1,X2]: (~c_in(X0,c_Message_Oparts(c_insert(X1,X2,tc_Message_Omsg)),tc_Message_Omsg)|~c_in(X1,c_Message_Osynth(c_Message_Oanalz(X2)),tc_Message_Omsg)|c_in(X0,c_union(c_Message_Osynth(c_Message_Oanalz(X2)),c_Message_Oparts(X2),tc_Message_Omsg),tc_Message_Omsg))),
% 81.57/10.72 inference(cnf_transformation,[status(esa)],[f3075])).
% 81.57/10.72 fof(f3079,plain,(
% 81.57/10.72 ![X0,X1]: (~c_in(X0,c_Message_Oanalz(X1),tc_Message_Omsg)|c_in(X0,c_Message_Oparts(X1),tc_Message_Omsg))),
% 81.57/10.72 inference(cnf_transformation,[status(esa)],[f1440])).
% 81.57/10.72 fof(f3083,plain,(
% 81.57/10.72 ![V_A]: ((![V_evs]: (~c_in(V_evs,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent))|~c_in(c_Message_Omsg_OKey(c_Public_OshrK(V_A)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg)))|c_in(V_A,c_Event_Obad,tc_Message_Oagent))),
% 81.57/10.72 inference(miniscoping,[status(esa)],[f1443])).
% 81.57/10.72 fof(f3084,plain,(
% 81.57/10.72 ![X0,X1]: (~c_in(X0,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent))|~c_in(c_Message_Omsg_OKey(c_Public_OshrK(X1)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X0)),tc_Message_Omsg)|c_in(X1,c_Event_Obad,tc_Message_Oagent))),
% 81.57/10.72 inference(cnf_transformation,[status(esa)],[f3083])).
% 81.57/10.72 fof(f3092,plain,(
% 81.57/10.72 ![V_A]: (~c_in(V_A,c_Event_Obad,tc_Message_Oagent)|(![V_b,V_evs]: c_in(c_Message_Omsg_OKey(c_Message_OinvKey(c_Public_OpublicKey(V_b,V_A))),c_Event_Oknows(c_Message_Oagent_OSpy,V_evs),tc_Message_Omsg)))),
% 81.57/10.72 inference(miniscoping,[status(esa)],[f1448])).
% 81.57/10.72 fof(f3093,plain,(
% 81.57/10.72 ![X0,X1,X2]: (~c_in(X0,c_Event_Obad,tc_Message_Oagent)|c_in(c_Message_Omsg_OKey(c_Message_OinvKey(c_Public_OpublicKey(X1,X0))),c_Event_Oknows(c_Message_Oagent_OSpy,X2),tc_Message_Omsg))),
% 81.57/10.72 inference(cnf_transformation,[status(esa)],[f3092])).
% 81.57/10.72 fof(f3115,plain,(
% 81.57/10.72 ![X0,X1]: (c_in(c_Message_Omsg_OKey(c_Public_OshrK(X0)),c_Event_Oknows(X0,X1),tc_Message_Omsg))),
% 81.57/10.72 inference(cnf_transformation,[status(esa)],[f1467])).
% 81.57/10.72 fof(f3124,plain,(
% 81.57/10.72 ~c_in(v_A,c_Event_Obad,tc_Message_Oagent)),
% 81.57/10.72 inference(cnf_transformation,[status(esa)],[f1475])).
% 81.57/10.72 fof(f3125,plain,(
% 81.57/10.72 c_in(v_evsf,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent))),
% 81.57/10.72 inference(cnf_transformation,[status(esa)],[f1476])).
% 81.57/10.72 fof(f3138,plain,(
% 81.57/10.72 c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,v_B,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OKey(v_K))),c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(v_x,c_Message_Omsg_OKey(v_K)))))),c_List_Oset(v_evsf,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_OKey(v_K))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg)|~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_evsf,tc_Event_Oevent),tc_Event_Oevent)),
% 81.57/10.72 inference(cnf_transformation,[status(esa)],[f1485])).
% 81.57/10.72 fof(f3139,plain,(
% 81.57/10.72 c_in(v_X,c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_Message_Omsg)),
% 81.57/10.72 inference(cnf_transformation,[status(esa)],[f1486])).
% 81.57/10.72 fof(f3140,plain,(
% 81.57/10.72 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_evsf,tc_Event_Oevent),tc_Event_Oevent)|v_A=c_Message_Oagent_OSpy),
% 81.57/10.72 inference(cnf_transformation,[status(esa)],[f1487])).
% 81.57/10.72 fof(f3141,plain,(
% 81.57/10.72 c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OKey(v_K))),c_Message_Oparts(c_insert(v_X,c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf),tc_Message_Omsg)),tc_Message_Omsg)|v_A=c_Message_Oagent_OSpy),
% 81.57/10.72 inference(cnf_transformation,[status(esa)],[f1488])).
% 81.57/10.72 fof(f3142,plain,(
% 81.57/10.72 (![V_V]: ~c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,v_B,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OKey(v_K))),c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(V_V,c_Message_Omsg_OKey(v_K)))))),c_List_Oset(v_evsf,tc_Event_Oevent),tc_Event_Oevent))|v_A=c_Message_Oagent_OSpy),
% 81.57/10.72 inference(miniscoping,[status(esa)],[f1489])).
% 81.57/10.72 fof(f3143,plain,(
% 81.57/10.72 ![X0]: (~c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,v_B,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OKey(v_K))),c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(X0,c_Message_Omsg_OKey(v_K)))))),c_List_Oset(v_evsf,tc_Event_Oevent),tc_Event_Oevent)|v_A=c_Message_Oagent_OSpy)),
% 81.57/10.72 inference(cnf_transformation,[status(esa)],[f3142])).
% 81.57/10.72 fof(f3149,plain,(
% 81.57/10.72 spl0_0 <=> c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OKey(v_K))),c_Message_Oparts(c_insert(v_X,c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf),tc_Message_Omsg)),tc_Message_Omsg)),
% 81.57/10.72 introduced(split_symbol_definition)).
% 81.57/10.72 fof(f3150,plain,(
% 81.57/10.72 c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OKey(v_K))),c_Message_Oparts(c_insert(v_X,c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf),tc_Message_Omsg)),tc_Message_Omsg)|~spl0_0),
% 81.57/10.72 inference(component_clause,[status(thm)],[f3149])).
% 81.57/10.72 fof(f3160,plain,(
% 81.57/10.72 spl0_3 <=> 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_evsf,tc_Event_Oevent),tc_Event_Oevent)),
% 81.57/10.72 introduced(split_symbol_definition)).
% 81.57/10.72 fof(f3161,plain,(
% 81.57/10.72 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_evsf,tc_Event_Oevent),tc_Event_Oevent)|~spl0_3),
% 81.57/10.72 inference(component_clause,[status(thm)],[f3160])).
% 81.57/10.72 fof(f3168,plain,(
% 81.57/10.72 spl0_5 <=> ~c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,v_B,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OKey(v_K))),c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(X0,c_Message_Omsg_OKey(v_K)))))),c_List_Oset(v_evsf,tc_Event_Oevent),tc_Event_Oevent)),
% 81.57/10.72 introduced(split_symbol_definition)).
% 81.57/10.72 fof(f3169,plain,(
% 81.57/10.72 ![X0]: (~c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,v_B,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OKey(v_K))),c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(X0,c_Message_Omsg_OKey(v_K)))))),c_List_Oset(v_evsf,tc_Event_Oevent),tc_Event_Oevent)|~spl0_5)),
% 81.57/10.72 inference(component_clause,[status(thm)],[f3168])).
% 81.57/10.72 fof(f3178,plain,(
% 81.57/10.72 spl0_7 <=> c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,v_B,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OKey(v_K))),c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(v_x,c_Message_Omsg_OKey(v_K)))))),c_List_Oset(v_evsf,tc_Event_Oevent),tc_Event_Oevent)),
% 81.57/10.72 introduced(split_symbol_definition)).
% 81.57/10.72 fof(f3179,plain,(
% 81.57/10.72 c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,v_B,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OKey(v_K))),c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(v_x,c_Message_Omsg_OKey(v_K)))))),c_List_Oset(v_evsf,tc_Event_Oevent),tc_Event_Oevent)|~spl0_7),
% 81.57/10.72 inference(component_clause,[status(thm)],[f3178])).
% 81.57/10.72 fof(f3181,plain,(
% 81.57/10.72 spl0_8 <=> c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OKey(v_K))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg)),
% 81.57/10.72 introduced(split_symbol_definition)).
% 81.57/10.72 fof(f3183,plain,(
% 81.57/10.72 ~c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OKey(v_K))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg)|spl0_8),
% 81.57/10.72 inference(component_clause,[status(thm)],[f3181])).
% 81.57/10.72 fof(f3184,plain,(
% 81.57/10.72 spl0_7|~spl0_8|~spl0_3),
% 81.57/10.72 inference(split_clause,[status(thm)],[f3138,f3178,f3181,f3160])).
% 81.57/10.72 fof(f3185,plain,(
% 81.57/10.72 spl0_9 <=> v_A=c_Message_Oagent_OSpy),
% 81.57/10.72 introduced(split_symbol_definition)).
% 81.57/10.72 fof(f3186,plain,(
% 81.57/10.72 v_A=c_Message_Oagent_OSpy|~spl0_9),
% 81.57/10.72 inference(component_clause,[status(thm)],[f3185])).
% 81.57/10.72 fof(f3188,plain,(
% 81.57/10.72 spl0_3|spl0_9),
% 81.57/10.72 inference(split_clause,[status(thm)],[f3140,f3160,f3185])).
% 81.57/10.72 fof(f3189,plain,(
% 81.57/10.72 spl0_0|spl0_9),
% 81.57/10.72 inference(split_clause,[status(thm)],[f3141,f3149,f3185])).
% 81.57/10.72 fof(f3190,plain,(
% 81.57/10.72 spl0_5|spl0_9),
% 81.57/10.72 inference(split_clause,[status(thm)],[f3143,f3168,f3185])).
% 81.57/10.72 fof(f3213,plain,(
% 81.57/10.72 ![X0,X1,X2]: (c_in(X0,c_Message_Oanalz(X1),tc_Message_Omsg)|~c_in(c_Message_Omsg_OMPair(X2,X0),X1,tc_Message_Omsg))),
% 81.57/10.72 inference(resolution,[status(thm)],[f3019,f3046])).
% 81.57/10.72 fof(f3216,plain,(
% 81.57/10.72 ![X0,X1,X2]: (c_in(X0,c_Message_Oanalz(c_Message_Oanalz(X1)),tc_Message_Omsg)|~c_in(c_Message_Omsg_OMPair(X2,X0),X1,tc_Message_Omsg))),
% 81.57/10.72 inference(resolution,[status(thm)],[f3213,f3046])).
% 81.57/10.72 fof(f3226,plain,(
% 81.57/10.72 ![X0,X1,X2]: (c_in(X0,c_Message_Oparts(X1),tc_Message_Omsg)|~c_in(c_Message_Omsg_OMPair(X2,X0),X1,tc_Message_Omsg))),
% 81.57/10.72 inference(resolution,[status(thm)],[f3028,f3063])).
% 81.57/10.72 fof(f3248,plain,(
% 81.57/10.72 ![X0,X1,X2]: (c_in(X0,c_Message_Oparts(c_Message_Oparts(X1)),tc_Message_Omsg)|~c_in(c_Message_Omsg_OMPair(X2,X0),X1,tc_Message_Omsg))),
% 81.57/10.72 inference(resolution,[status(thm)],[f3226,f3063])).
% 81.57/10.72 fof(f3251,plain,(
% 81.57/10.72 ![X0,X1,X2]: (c_in(X0,c_Message_Oparts(c_Message_Oanalz(X1)),tc_Message_Omsg)|~c_in(c_Message_Omsg_OMPair(X2,X0),X1,tc_Message_Omsg))),
% 81.57/10.72 inference(resolution,[status(thm)],[f3226,f3046])).
% 81.57/10.72 fof(f3564,plain,(
% 81.57/10.72 ![X0,X1,X2]: (c_in(X0,c_Message_Osynth(c_Message_Oanalz(X1)),tc_Message_Omsg)|~c_in(c_Message_Omsg_OMPair(X2,X0),c_Message_Oanalz(X1),tc_Message_Omsg))),
% 81.57/10.72 inference(resolution,[status(thm)],[f3036,f3069])).
% 81.57/10.72 fof(f3773,plain,(
% 81.57/10.72 ![X0]: (~c_in(X0,c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_Message_Omsg)|c_in(c_Message_Omsg_OMPair(v_X,X0),c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_Message_Omsg))),
% 81.57/10.72 inference(resolution,[status(thm)],[f3037,f3139])).
% 81.57/10.72 fof(f3786,plain,(
% 81.57/10.72 ![X0]: (c_in(c_Message_Omsg_OMPair(v_X,X0),c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_Message_Omsg)|~c_in(X0,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg))),
% 81.57/10.72 inference(resolution,[status(thm)],[f3773,f3069])).
% 81.57/10.72 fof(f3789,plain,(
% 81.57/10.72 spl0_13 <=> c_in(v_X,c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_Message_Omsg)),
% 81.57/10.72 introduced(split_symbol_definition)).
% 81.57/10.72 fof(f4242,plain,(
% 81.57/10.72 c_in(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_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg)|~spl0_3),
% 81.57/10.72 inference(resolution,[status(thm)],[f3074,f3161])).
% 81.57/10.72 fof(f4260,plain,(
% 81.57/10.72 c_in(v_NA,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg)|~spl0_3),
% 81.57/10.72 inference(resolution,[status(thm)],[f4242,f3021])).
% 81.57/10.72 fof(f4280,plain,(
% 81.57/10.72 c_in(c_Message_Omsg_OMPair(v_X,v_NA),c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_Message_Omsg)|~spl0_3),
% 81.57/10.72 inference(resolution,[status(thm)],[f4260,f3786])).
% 81.57/10.72 fof(f4333,plain,(
% 81.57/10.72 c_in(v_NA,c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_Message_Omsg)|~spl0_3),
% 81.57/10.72 inference(resolution,[status(thm)],[f4280,f3036])).
% 81.57/10.72 fof(f4369,plain,(
% 81.57/10.72 ~c_in(c_Message_Oagent_OSpy,c_Event_Obad,tc_Message_Oagent)|~spl0_9),
% 81.57/10.72 inference(backward_demodulation,[status(thm)],[f3186,f3124])).
% 81.57/10.72 fof(f4370,plain,(
% 81.57/10.72 $false|~spl0_9),
% 81.57/10.72 inference(forward_subsumption_resolution,[status(thm)],[f4369,f2970])).
% 81.57/10.72 fof(f4371,plain,(
% 81.57/10.72 ~spl0_9),
% 81.57/10.72 inference(contradiction_clause,[status(thm)],[f4370])).
% 81.57/10.72 fof(f6102,plain,(
% 81.57/10.72 ![X0,X1,X2]: (c_in(X0,c_Message_Osynth(c_Message_Oanalz(X1)),tc_Message_Omsg)|~c_in(c_Message_Omsg_OMPair(X2,X0),X1,tc_Message_Omsg))),
% 81.57/10.72 inference(resolution,[status(thm)],[f3564,f3046])).
% 81.57/10.72 fof(f8399,plain,(
% 81.57/10.72 spl0_36 <=> c_in(v_evsf,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent))),
% 81.57/10.72 introduced(split_symbol_definition)).
% 81.57/10.72 fof(f8401,plain,(
% 81.57/10.72 ~c_in(v_evsf,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent))|spl0_36),
% 81.57/10.72 inference(component_clause,[status(thm)],[f8399])).
% 81.57/10.72 fof(f8407,plain,(
% 81.57/10.72 $false|spl0_36),
% 81.57/10.72 inference(forward_subsumption_resolution,[status(thm)],[f8401,f3125])).
% 81.57/10.72 fof(f8408,plain,(
% 81.57/10.72 spl0_36),
% 81.57/10.72 inference(contradiction_clause,[status(thm)],[f8407])).
% 81.57/10.72 fof(f9617,plain,(
% 81.57/10.72 spl0_49 <=> ~c_in(X0,c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_Message_Omsg)),
% 81.57/10.72 introduced(split_symbol_definition)).
% 81.57/10.72 fof(f9618,plain,(
% 81.57/10.72 ![X0]: (~c_in(X0,c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_Message_Omsg)|~spl0_49)),
% 81.57/10.72 inference(component_clause,[status(thm)],[f9617])).
% 81.57/10.72 fof(f9914,plain,(
% 81.57/10.72 spl0_60 <=> ~c_in(c_Message_Omsg_OKey(X0),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg)),
% 81.57/10.72 introduced(split_symbol_definition)).
% 81.57/10.72 fof(f9915,plain,(
% 81.57/10.72 ![X0]: (~c_in(c_Message_Omsg_OKey(X0),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg)|~spl0_60)),
% 81.57/10.72 inference(component_clause,[status(thm)],[f9914])).
% 81.57/10.72 fof(f9931,plain,(
% 81.57/10.72 $false|~spl0_49|~spl0_3),
% 81.57/10.72 inference(backward_subsumption_resolution,[status(thm)],[f4333,f9618])).
% 81.57/10.72 fof(f9932,plain,(
% 81.57/10.72 ~spl0_49|~spl0_3),
% 81.57/10.72 inference(contradiction_clause,[status(thm)],[f9931])).
% 81.57/10.72 fof(f14643,plain,(
% 81.57/10.72 ![X0]: (c_lessequals(c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),X0,tc_set(tc_Message_Omsg))|c_in(c_Message_Omsg_OMPair(v_X,c_Main_OsubsetI__1(c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),X0,tc_Message_Omsg)),c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_Message_Omsg))),
% 81.57/10.72 inference(resolution,[status(thm)],[f1634,f3773])).
% 81.57/10.72 fof(f14653,plain,(
% 81.57/10.72 ![X0,X1]: (c_lessequals(c_Message_Oanalz(c_Message_Oanalz(X0)),X1,tc_set(tc_Message_Omsg))|c_in(c_Main_OsubsetI__1(c_Message_Oanalz(c_Message_Oanalz(X0)),X1,tc_Message_Omsg),c_Message_Oanalz(X0),tc_Message_Omsg))),
% 81.57/10.72 inference(resolution,[status(thm)],[f1634,f3047])).
% 81.57/10.72 fof(f14658,plain,(
% 81.57/10.72 ![X0,X1]: (c_lessequals(c_Message_Oparts(c_Message_Oparts(X0)),X1,tc_set(tc_Message_Omsg))|c_in(c_Main_OsubsetI__1(c_Message_Oparts(c_Message_Oparts(X0)),X1,tc_Message_Omsg),c_Message_Oparts(X0),tc_Message_Omsg))),
% 81.57/10.72 inference(resolution,[status(thm)],[f1634,f3065])).
% 81.57/10.72 fof(f14813,plain,(
% 81.57/10.72 ![X0]: (c_lessequals(c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),X0,tc_set(tc_Message_Omsg))|c_in(c_Main_OsubsetI__1(c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),X0,tc_Message_Omsg),c_Message_Osynth(c_Message_Oanalz(c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))))),tc_Message_Omsg))),
% 81.57/10.72 inference(resolution,[status(thm)],[f14643,f6102])).
% 81.57/10.72 fof(f14831,plain,(
% 81.57/10.72 ![X0]: (c_lessequals(c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),X0,tc_set(tc_Message_Omsg))|c_in(c_Main_OsubsetI__1(c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),X0,tc_Message_Omsg),c_Message_Oparts(c_Message_Oanalz(c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))))),tc_Message_Omsg))),
% 81.57/10.72 inference(resolution,[status(thm)],[f14643,f3251])).
% 81.57/10.72 fof(f14832,plain,(
% 81.57/10.72 ![X0]: (c_lessequals(c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),X0,tc_set(tc_Message_Omsg))|c_in(c_Main_OsubsetI__1(c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),X0,tc_Message_Omsg),c_Message_Oparts(c_Message_Oparts(c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))))),tc_Message_Omsg))),
% 81.57/10.72 inference(resolution,[status(thm)],[f14643,f3248])).
% 81.57/10.72 fof(f14849,plain,(
% 81.57/10.72 ![X0]: (c_lessequals(c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),X0,tc_set(tc_Message_Omsg))|c_in(c_Main_OsubsetI__1(c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),X0,tc_Message_Omsg),c_Message_Oanalz(c_Message_Oanalz(c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))))),tc_Message_Omsg))),
% 81.57/10.72 inference(resolution,[status(thm)],[f14643,f3216])).
% 81.57/10.72 fof(f14962,plain,(
% 81.57/10.72 ![X0,X1]: (c_lessequals(X0,c_UNIV,tc_set(X1)))),
% 81.57/10.72 inference(resolution,[status(thm)],[f1635,f1619])).
% 81.57/10.72 fof(f14974,plain,(
% 81.57/10.72 ![X0,X1]: (c_lessequals(X0,c_Message_Osynth(X1),tc_set(tc_Message_Omsg))|~c_in(c_Main_OsubsetI__1(X0,c_Message_Osynth(X1),tc_Message_Omsg),X1,tc_Message_Omsg))),
% 81.57/10.72 inference(resolution,[status(thm)],[f1635,f3069])).
% 81.57/10.72 fof(f15012,plain,(
% 81.57/10.72 ![X0,X1]: (c_lessequals(X0,c_Message_Oparts(X1),tc_set(tc_Message_Omsg))|~c_in(c_Main_OsubsetI__1(X0,c_Message_Oparts(X1),tc_Message_Omsg),X1,tc_Message_Omsg))),
% 81.57/10.72 inference(resolution,[status(thm)],[f1635,f3063])).
% 81.57/10.72 fof(f15055,plain,(
% 81.57/10.72 ![X0,X1]: (c_lessequals(X0,c_Message_Oanalz(X1),tc_set(tc_Message_Omsg))|~c_in(c_Main_OsubsetI__1(X0,c_Message_Oanalz(X1),tc_Message_Omsg),X1,tc_Message_Omsg))),
% 81.57/10.72 inference(resolution,[status(thm)],[f1635,f3046])).
% 81.57/10.72 fof(f15380,plain,(
% 81.57/10.72 ![X0]: (c_lessequals(c_Message_Oanalz(c_Message_Oanalz(X0)),c_Message_Oanalz(X0),tc_set(tc_Message_Omsg))|c_lessequals(c_Message_Oanalz(c_Message_Oanalz(X0)),c_Message_Oanalz(X0),tc_set(tc_Message_Omsg)))),
% 81.57/10.72 inference(resolution,[status(thm)],[f14653,f1635])).
% 81.57/10.72 fof(f15381,plain,(
% 81.57/10.72 ![X0]: (c_lessequals(c_Message_Oanalz(c_Message_Oanalz(X0)),c_Message_Oanalz(X0),tc_set(tc_Message_Omsg)))),
% 81.57/10.72 inference(duplicate_literals_removal,[status(esa)],[f15380])).
% 81.57/10.72 fof(f15544,plain,(
% 81.57/10.72 ![X0]: (c_lessequals(c_Message_Oparts(c_Message_Oparts(X0)),c_Message_Oparts(X0),tc_set(tc_Message_Omsg))|c_lessequals(c_Message_Oparts(c_Message_Oparts(X0)),c_Message_Oparts(X0),tc_set(tc_Message_Omsg)))),
% 81.57/10.72 inference(resolution,[status(thm)],[f14658,f1635])).
% 81.57/10.72 fof(f15545,plain,(
% 81.57/10.72 ![X0]: (c_lessequals(c_Message_Oparts(c_Message_Oparts(X0)),c_Message_Oparts(X0),tc_set(tc_Message_Omsg)))),
% 81.57/10.72 inference(duplicate_literals_removal,[status(esa)],[f15544])).
% 81.57/10.72 fof(f16245,plain,(
% 81.57/10.72 ![X0]: (c_lessequals(X0,c_Message_Oparts(X0),tc_set(tc_Message_Omsg))|c_lessequals(X0,c_Message_Oparts(X0),tc_set(tc_Message_Omsg)))),
% 81.57/10.72 inference(resolution,[status(thm)],[f15012,f1634])).
% 81.57/10.72 fof(f16246,plain,(
% 81.57/10.72 ![X0]: (c_lessequals(X0,c_Message_Oparts(X0),tc_set(tc_Message_Omsg)))),
% 81.57/10.72 inference(duplicate_literals_removal,[status(esa)],[f16245])).
% 81.57/10.72 fof(f16335,plain,(
% 81.57/10.72 ![X0]: (c_lessequals(X0,c_Message_Oanalz(X0),tc_set(tc_Message_Omsg))|c_lessequals(X0,c_Message_Oanalz(X0),tc_set(tc_Message_Omsg)))),
% 81.57/10.72 inference(resolution,[status(thm)],[f15055,f1634])).
% 81.57/10.72 fof(f16336,plain,(
% 81.57/10.72 ![X0]: (c_lessequals(X0,c_Message_Oanalz(X0),tc_set(tc_Message_Omsg)))),
% 81.57/10.72 inference(duplicate_literals_removal,[status(esa)],[f16335])).
% 81.57/10.72 fof(f16623,plain,(
% 81.57/10.72 ![X0]: (~c_lessequals(c_Message_Oparts(X0),X0,tc_set(tc_Message_Omsg))|X0=c_Message_Oparts(X0))),
% 81.57/10.72 inference(resolution,[status(thm)],[f16246,f1637])).
% 81.57/10.72 fof(f16625,plain,(
% 81.57/10.72 ![X0]: (~c_lessequals(c_Message_Oanalz(X0),X0,tc_set(tc_Message_Omsg))|X0=c_Message_Oanalz(X0))),
% 81.57/10.72 inference(resolution,[status(thm)],[f16336,f1637])).
% 81.57/10.72 fof(f17326,plain,(
% 81.57/10.72 ![X0]: (c_Message_Oparts(X0)=c_Message_Oparts(c_Message_Oparts(X0)))),
% 81.57/10.72 inference(resolution,[status(thm)],[f16623,f15545])).
% 81.57/10.72 fof(f17927,plain,(
% 81.57/10.72 ![X0]: (c_Message_Oanalz(X0)=c_Message_Oanalz(c_Message_Oanalz(X0)))),
% 81.57/10.72 inference(resolution,[status(thm)],[f16625,f15381])).
% 81.57/10.72 fof(f25013,plain,(
% 81.57/10.72 spl0_255 <=> c_lessequals(c_Message_Oparts(c_UNIV),c_UNIV,tc_set(tc_Message_Omsg))),
% 81.57/10.72 introduced(split_symbol_definition)).
% 81.57/10.72 fof(f25015,plain,(
% 81.57/10.72 ~c_lessequals(c_Message_Oparts(c_UNIV),c_UNIV,tc_set(tc_Message_Omsg))|spl0_255),
% 81.57/10.72 inference(component_clause,[status(thm)],[f25013])).
% 81.57/10.72 fof(f25892,plain,(
% 81.57/10.72 spl0_267 <=> c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg)),
% 81.57/10.72 introduced(split_symbol_definition)).
% 81.57/10.72 fof(f25893,plain,(
% 81.57/10.72 c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg)|~spl0_267),
% 81.57/10.72 inference(component_clause,[status(thm)],[f25892])).
% 81.57/10.72 fof(f27280,plain,(
% 81.57/10.72 c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg)|~spl0_267),
% 81.57/10.72 inference(resolution,[status(thm)],[f25893,f3079])).
% 81.57/10.72 fof(f27642,plain,(
% 81.57/10.72 spl0_277 <=> c_in(v_A,c_Event_Obad,tc_Message_Oagent)),
% 81.57/10.72 introduced(split_symbol_definition)).
% 81.57/10.72 fof(f27643,plain,(
% 81.57/10.72 c_in(v_A,c_Event_Obad,tc_Message_Oagent)|~spl0_277),
% 81.57/10.72 inference(component_clause,[status(thm)],[f27642])).
% 81.57/10.72 fof(f27645,plain,(
% 81.57/10.72 ~c_in(v_evsf,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent))|c_in(v_A,c_Event_Obad,tc_Message_Oagent)|~spl0_267),
% 81.57/10.72 inference(resolution,[status(thm)],[f27280,f3084])).
% 81.57/10.72 fof(f27646,plain,(
% 81.57/10.72 ~spl0_36|spl0_277|~spl0_267),
% 81.57/10.72 inference(split_clause,[status(thm)],[f27645,f8399,f27642,f25892])).
% 81.57/10.72 fof(f27648,plain,(
% 81.57/10.72 $false|~spl0_277),
% 81.57/10.72 inference(forward_subsumption_resolution,[status(thm)],[f27643,f3124])).
% 81.57/10.72 fof(f27649,plain,(
% 81.57/10.72 ~spl0_277),
% 81.57/10.72 inference(contradiction_clause,[status(thm)],[f27648])).
% 81.57/10.72 fof(f28376,plain,(
% 81.57/10.72 ![X0,X1]: (c_in(X0,c_Inter(c_emptyset,X1),X1))),
% 81.57/10.72 inference(resolution,[status(thm)],[f2934,f1617])).
% 81.57/10.72 fof(f29612,plain,(
% 81.57/10.72 $false|~spl0_5|~spl0_7),
% 81.57/10.72 inference(forward_subsumption_resolution,[status(thm)],[f3179,f3169])).
% 81.57/10.72 fof(f29613,plain,(
% 81.57/10.72 ~spl0_5|~spl0_7),
% 81.57/10.72 inference(contradiction_clause,[status(thm)],[f29612])).
% 81.57/10.72 fof(f29663,plain,(
% 81.57/10.72 ![X0]: (~c_in(c_Message_Omsg_OKey(X0),c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf),tc_Message_Omsg)|~spl0_60)),
% 81.57/10.72 inference(resolution,[status(thm)],[f9915,f3046])).
% 81.57/10.72 fof(f29685,plain,(
% 81.57/10.72 $false|~spl0_60),
% 81.57/10.72 inference(resolution,[status(thm)],[f29663,f3115])).
% 81.57/10.72 fof(f29686,plain,(
% 81.57/10.72 ~spl0_60),
% 81.57/10.72 inference(contradiction_clause,[status(thm)],[f29685])).
% 81.57/10.72 fof(f32029,plain,(
% 81.57/10.72 $false|spl0_255),
% 81.57/10.72 inference(backward_subsumption_resolution,[status(thm)],[f25015,f14962])).
% 81.57/10.72 fof(f32030,plain,(
% 81.57/10.72 spl0_255),
% 81.57/10.72 inference(contradiction_clause,[status(thm)],[f32029])).
% 81.57/10.72 fof(f32514,plain,(
% 81.57/10.72 spl0_318 <=> class_Orderings_Oorder(tc_set(tc_List_Olist(tc_Message_Omsg)))),
% 81.57/10.72 introduced(split_symbol_definition)).
% 81.57/10.72 fof(f32516,plain,(
% 81.57/10.72 ~class_Orderings_Oorder(tc_set(tc_List_Olist(tc_Message_Omsg)))|spl0_318),
% 81.57/10.72 inference(component_clause,[status(thm)],[f32514])).
% 81.57/10.72 fof(f32519,plain,(
% 81.57/10.72 $false|spl0_318),
% 81.57/10.72 inference(forward_subsumption_resolution,[status(thm)],[f32516,f1783])).
% 81.57/10.72 fof(f32520,plain,(
% 81.57/10.72 spl0_318),
% 81.57/10.72 inference(contradiction_clause,[status(thm)],[f32519])).
% 81.57/10.72 fof(f32763,plain,(
% 81.57/10.72 spl0_322 <=> ~X0=X0),
% 81.57/10.72 introduced(split_symbol_definition)).
% 81.57/10.72 fof(f32764,plain,(
% 81.57/10.72 ![X0]: (~X0=X0|~spl0_322)),
% 81.57/10.72 inference(component_clause,[status(thm)],[f32763])).
% 81.57/10.72 fof(f32768,plain,(
% 81.57/10.72 $false|~spl0_322),
% 81.57/10.72 inference(trivial_equality_resolution,[status(esa)],[f32764])).
% 81.57/10.72 fof(f32769,plain,(
% 81.57/10.72 ~spl0_322),
% 81.57/10.72 inference(contradiction_clause,[status(thm)],[f32768])).
% 81.57/10.72 fof(f33264,plain,(
% 81.57/10.72 ![X0,X1]: (c_lessequals(X0,c_Inter(c_emptyset,X1),tc_set(X1)))),
% 81.57/10.72 inference(resolution,[status(thm)],[f28376,f1635])).
% 81.57/10.72 fof(f33892,plain,(
% 81.57/10.72 spl0_331 <=> ~c_List_Olist_ONil=X0),
% 81.57/10.72 introduced(split_symbol_definition)).
% 81.57/10.72 fof(f33893,plain,(
% 81.57/10.72 ![X0]: (~c_List_Olist_ONil=X0|~spl0_331)),
% 81.57/10.72 inference(component_clause,[status(thm)],[f33892])).
% 81.57/10.72 fof(f33897,plain,(
% 81.57/10.72 $false|~spl0_331),
% 81.57/10.72 inference(destructive_equality_resolution,[status(esa)],[f33893])).
% 81.57/10.72 fof(f33898,plain,(
% 81.57/10.72 ~spl0_331),
% 81.57/10.72 inference(contradiction_clause,[status(thm)],[f33897])).
% 81.57/10.72 fof(f33906,plain,(
% 81.57/10.72 spl0_333 <=> class_Orderings_Oorder(tc_nat)),
% 81.57/10.72 introduced(split_symbol_definition)).
% 81.57/10.72 fof(f33908,plain,(
% 81.57/10.72 ~class_Orderings_Oorder(tc_nat)|spl0_333),
% 81.57/10.72 inference(component_clause,[status(thm)],[f33906])).
% 81.57/10.72 fof(f33911,plain,(
% 81.57/10.72 $false|spl0_333),
% 81.57/10.72 inference(forward_subsumption_resolution,[status(thm)],[f33908,f1754])).
% 81.57/10.72 fof(f33912,plain,(
% 81.57/10.72 spl0_333),
% 81.57/10.72 inference(contradiction_clause,[status(thm)],[f33911])).
% 81.57/10.72 fof(f33913,plain,(
% 81.57/10.72 spl0_334 <=> c_1=c_0),
% 81.57/10.72 introduced(split_symbol_definition)).
% 81.57/10.72 fof(f33914,plain,(
% 81.57/10.72 c_1=c_0|~spl0_334),
% 81.57/10.72 inference(component_clause,[status(thm)],[f33913])).
% 81.57/10.72 fof(f33963,plain,(
% 81.57/10.72 spl0_335 <=> c_lessequals(c_UNIV,c_Inter(c_emptyset,tc_Message_Omsg),tc_set(tc_Message_Omsg))),
% 81.57/10.72 introduced(split_symbol_definition)).
% 81.57/10.72 fof(f33965,plain,(
% 81.57/10.72 ~c_lessequals(c_UNIV,c_Inter(c_emptyset,tc_Message_Omsg),tc_set(tc_Message_Omsg))|spl0_335),
% 81.57/10.72 inference(component_clause,[status(thm)],[f33963])).
% 81.57/10.72 fof(f34032,plain,(
% 81.57/10.72 c_less(c_0,c_0,tc_nat)|~spl0_334),
% 81.57/10.72 inference(backward_demodulation,[status(thm)],[f33914,f2855])).
% 81.57/10.72 fof(f34033,plain,(
% 81.57/10.72 $false|~spl0_334),
% 81.57/10.72 inference(forward_subsumption_resolution,[status(thm)],[f34032,f2860])).
% 81.57/10.72 fof(f34034,plain,(
% 81.57/10.72 ~spl0_334),
% 81.57/10.72 inference(contradiction_clause,[status(thm)],[f34033])).
% 81.57/10.72 fof(f34303,plain,(
% 81.57/10.72 ![X0,X1,X2]: (~c_in(X0,c_Message_Osynth(X1),tc_Message_Omsg)|c_in(c_Message_Omsg_OMPair(c_Message_Omsg_ONumber(X2),X0),c_Message_Osynth(X1),tc_Message_Omsg))),
% 81.57/10.72 inference(resolution,[status(thm)],[f3071,f3070])).
% 81.57/10.72 fof(f35052,plain,(
% 81.57/10.72 ![X0,X1]: (~c_in(X0,c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_Message_Omsg)|c_in(c_Message_Omsg_OMPair(v_X,c_Message_Omsg_OMPair(c_Message_Omsg_ONumber(X1),X0)),c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_Message_Omsg))),
% 81.57/10.72 inference(resolution,[status(thm)],[f34303,f3773])).
% 81.57/10.72 fof(f35232,plain,(
% 81.57/10.72 spl0_345 <=> ~class_Orderings_Oorder(tc_set(X0))),
% 81.57/10.72 introduced(split_symbol_definition)).
% 81.57/10.72 fof(f35233,plain,(
% 81.57/10.72 ![X0]: (~class_Orderings_Oorder(tc_set(X0))|~spl0_345)),
% 81.57/10.72 inference(component_clause,[status(thm)],[f35232])).
% 81.57/10.72 fof(f35247,plain,(
% 81.57/10.72 $false|~spl0_345),
% 81.57/10.72 inference(forward_subsumption_resolution,[status(thm)],[f35233,f1783])).
% 81.57/10.72 fof(f35248,plain,(
% 81.57/10.72 ~spl0_345),
% 81.57/10.72 inference(contradiction_clause,[status(thm)],[f35247])).
% 81.57/10.72 fof(f35696,plain,(
% 81.57/10.72 ![X0]: (~c_in(X0,c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_Message_Omsg)|c_in(v_X,c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_Message_Omsg))),
% 81.57/10.72 inference(resolution,[status(thm)],[f35052,f3034])).
% 81.57/10.72 fof(f35697,plain,(
% 81.57/10.72 spl0_49|spl0_13),
% 81.57/10.72 inference(split_clause,[status(thm)],[f35696,f9617,f3789])).
% 81.57/10.72 fof(f36520,plain,(
% 81.57/10.72 $false|spl0_335),
% 81.57/10.72 inference(backward_subsumption_resolution,[status(thm)],[f33965,f33264])).
% 81.57/10.72 fof(f36521,plain,(
% 81.57/10.72 spl0_335),
% 81.57/10.72 inference(contradiction_clause,[status(thm)],[f36520])).
% 81.57/10.72 fof(f36552,plain,(
% 81.57/10.72 spl0_359 <=> c_Suc(c_0)=c_0),
% 81.57/10.72 introduced(split_symbol_definition)).
% 81.57/10.72 fof(f36553,plain,(
% 81.57/10.72 c_Suc(c_0)=c_0|~spl0_359),
% 81.57/10.72 inference(component_clause,[status(thm)],[f36552])).
% 81.57/10.72 fof(f36557,plain,(
% 81.57/10.72 $false|~spl0_359),
% 81.57/10.72 inference(forward_subsumption_resolution,[status(thm)],[f36553,f2837])).
% 81.57/10.72 fof(f36558,plain,(
% 81.57/10.72 ~spl0_359),
% 81.57/10.72 inference(contradiction_clause,[status(thm)],[f36557])).
% 81.57/10.72 fof(f37171,plain,(
% 81.57/10.72 spl0_361 <=> ~class_Orderings_Olinorder(X0)),
% 81.57/10.72 introduced(split_symbol_definition)).
% 81.57/10.72 fof(f37172,plain,(
% 81.57/10.72 ![X0]: (~class_Orderings_Olinorder(X0)|~spl0_361)),
% 81.57/10.72 inference(component_clause,[status(thm)],[f37171])).
% 81.57/10.72 fof(f37185,plain,(
% 81.57/10.72 spl0_363 <=> c_less(c_0,c_0,tc_nat)),
% 81.57/10.72 introduced(split_symbol_definition)).
% 81.57/10.72 fof(f37186,plain,(
% 81.57/10.72 c_less(c_0,c_0,tc_nat)|~spl0_363),
% 81.57/10.72 inference(component_clause,[status(thm)],[f37185])).
% 81.57/10.72 fof(f37190,plain,(
% 81.57/10.72 $false|~spl0_363),
% 81.57/10.72 inference(forward_subsumption_resolution,[status(thm)],[f37186,f2860])).
% 81.57/10.72 fof(f37191,plain,(
% 81.57/10.72 ~spl0_363),
% 81.57/10.72 inference(contradiction_clause,[status(thm)],[f37190])).
% 81.57/10.72 fof(f37470,plain,(
% 81.57/10.72 $false|~spl0_361),
% 81.57/10.72 inference(backward_subsumption_resolution,[status(thm)],[f1776,f37172])).
% 81.57/10.72 fof(f37471,plain,(
% 81.57/10.72 ~spl0_361),
% 81.57/10.72 inference(contradiction_clause,[status(thm)],[f37470])).
% 81.57/10.72 fof(f38611,plain,(
% 81.57/10.72 spl0_374 <=> c_less(c_0,X1,tc_nat)),
% 81.57/10.72 introduced(split_symbol_definition)).
% 81.57/10.72 fof(f38612,plain,(
% 81.57/10.72 ![X0]: (c_less(c_0,X0,tc_nat)|~spl0_374)),
% 81.57/10.72 inference(component_clause,[status(thm)],[f38611])).
% 81.57/10.72 fof(f38643,plain,(
% 81.57/10.72 $false|~spl0_374),
% 81.57/10.72 inference(resolution,[status(thm)],[f38612,f2860])).
% 81.57/10.72 fof(f38644,plain,(
% 81.57/10.72 ~spl0_374),
% 81.57/10.72 inference(contradiction_clause,[status(thm)],[f38643])).
% 81.57/10.72 fof(f39363,plain,(
% 81.57/10.72 spl0_378 <=> class_Orderings_Oord(tc_nat)),
% 81.57/10.72 introduced(split_symbol_definition)).
% 81.57/10.72 fof(f39365,plain,(
% 81.57/10.72 ~class_Orderings_Oord(tc_nat)|spl0_378),
% 81.57/10.72 inference(component_clause,[status(thm)],[f39363])).
% 81.57/10.72 fof(f39371,plain,(
% 81.57/10.72 spl0_380 <=> class_Orderings_Oord(tc_set(tc_Message_Omsg))),
% 81.57/10.72 introduced(split_symbol_definition)).
% 81.57/10.72 fof(f39373,plain,(
% 81.57/10.72 ~class_Orderings_Oord(tc_set(tc_Message_Omsg))|spl0_380),
% 81.57/10.72 inference(component_clause,[status(thm)],[f39371])).
% 81.57/10.72 fof(f39401,plain,(
% 81.57/10.72 spl0_386 <=> class_Orderings_Oord(tc_IntDef_Oint)),
% 81.57/10.72 introduced(split_symbol_definition)).
% 81.57/10.72 fof(f39403,plain,(
% 81.57/10.72 ~class_Orderings_Oord(tc_IntDef_Oint)|spl0_386),
% 81.57/10.72 inference(component_clause,[status(thm)],[f39401])).
% 81.57/10.72 fof(f39437,plain,(
% 81.57/10.72 $false|spl0_386),
% 81.57/10.72 inference(forward_subsumption_resolution,[status(thm)],[f39403,f1706])).
% 81.57/10.72 fof(f39438,plain,(
% 81.57/10.72 spl0_386),
% 81.57/10.72 inference(contradiction_clause,[status(thm)],[f39437])).
% 81.57/10.72 fof(f39439,plain,(
% 81.57/10.72 $false|spl0_378),
% 81.57/10.72 inference(forward_subsumption_resolution,[status(thm)],[f39365,f1743])).
% 81.57/10.72 fof(f39440,plain,(
% 81.57/10.72 spl0_378),
% 81.57/10.72 inference(contradiction_clause,[status(thm)],[f39439])).
% 81.57/10.72 fof(f39441,plain,(
% 81.57/10.72 $false|spl0_380),
% 81.57/10.72 inference(forward_subsumption_resolution,[status(thm)],[f39373,f1782])).
% 81.57/10.72 fof(f39442,plain,(
% 81.57/10.72 spl0_380),
% 81.57/10.72 inference(contradiction_clause,[status(thm)],[f39441])).
% 81.57/10.72 fof(f39600,plain,(
% 81.57/10.72 spl0_398 <=> class_Orderings_Oord(tc_set(tc_nat))),
% 81.57/10.72 introduced(split_symbol_definition)).
% 81.57/10.72 fof(f39602,plain,(
% 81.57/10.72 ~class_Orderings_Oord(tc_set(tc_nat))|spl0_398),
% 81.57/10.72 inference(component_clause,[status(thm)],[f39600])).
% 81.57/10.72 fof(f39608,plain,(
% 81.57/10.72 $false|spl0_398),
% 81.57/10.72 inference(forward_subsumption_resolution,[status(thm)],[f39602,f1782])).
% 81.57/10.72 fof(f39609,plain,(
% 81.57/10.72 spl0_398),
% 81.57/10.72 inference(contradiction_clause,[status(thm)],[f39608])).
% 81.57/10.72 fof(f39628,plain,(
% 81.57/10.72 spl0_403 <=> class_Orderings_Olinorder(tc_nat)),
% 81.57/10.72 introduced(split_symbol_definition)).
% 81.57/10.72 fof(f39630,plain,(
% 81.57/10.72 ~class_Orderings_Olinorder(tc_nat)|spl0_403),
% 81.57/10.72 inference(component_clause,[status(thm)],[f39628])).
% 81.57/10.72 fof(f39638,plain,(
% 81.57/10.72 $false|spl0_403),
% 81.57/10.72 inference(forward_subsumption_resolution,[status(thm)],[f39630,f1776])).
% 81.57/10.72 fof(f39639,plain,(
% 81.57/10.72 spl0_403),
% 81.57/10.72 inference(contradiction_clause,[status(thm)],[f39638])).
% 81.57/10.72 fof(f40097,plain,(
% 81.57/10.72 spl0_427 <=> c_lessequals(c_UNIV,c_UNIV,tc_set(tc_nat))),
% 81.57/10.72 introduced(split_symbol_definition)).
% 81.57/10.72 fof(f40099,plain,(
% 81.57/10.72 ~c_lessequals(c_UNIV,c_UNIV,tc_set(tc_nat))|spl0_427),
% 81.57/10.72 inference(component_clause,[status(thm)],[f40097])).
% 81.57/10.72 fof(f40105,plain,(
% 81.57/10.72 $false|spl0_427),
% 81.57/10.72 inference(forward_subsumption_resolution,[status(thm)],[f40099,f14962])).
% 81.57/10.72 fof(f40106,plain,(
% 81.57/10.72 spl0_427),
% 81.57/10.72 inference(contradiction_clause,[status(thm)],[f40105])).
% 81.57/10.72 fof(f41938,plain,(
% 81.57/10.72 spl0_472 <=> c_lessequals(c_SetInterval_OgreaterThan(c_0,tc_nat),c_UNIV,tc_set(tc_nat))),
% 81.57/10.72 introduced(split_symbol_definition)).
% 81.57/10.72 fof(f41940,plain,(
% 81.57/10.72 ~c_lessequals(c_SetInterval_OgreaterThan(c_0,tc_nat),c_UNIV,tc_set(tc_nat))|spl0_472),
% 81.57/10.72 inference(component_clause,[status(thm)],[f41938])).
% 81.57/10.72 fof(f41955,plain,(
% 81.57/10.72 $false|spl0_472),
% 81.57/10.72 inference(forward_subsumption_resolution,[status(thm)],[f41940,f14962])).
% 81.57/10.72 fof(f41956,plain,(
% 81.57/10.72 spl0_472),
% 81.57/10.72 inference(contradiction_clause,[status(thm)],[f41955])).
% 81.57/10.72 fof(f45573,plain,(
% 81.57/10.72 spl0_495 <=> c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OKey(v_K))),c_union(c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg),tc_Message_Omsg)),
% 81.57/10.72 introduced(split_symbol_definition)).
% 81.57/10.72 fof(f45574,plain,(
% 81.57/10.72 c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OKey(v_K))),c_union(c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg),tc_Message_Omsg)|~spl0_495),
% 81.57/10.72 inference(component_clause,[status(thm)],[f45573])).
% 81.57/10.72 fof(f45576,plain,(
% 81.57/10.72 ~c_in(v_X,c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_Message_Omsg)|c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OKey(v_K))),c_union(c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg),tc_Message_Omsg)|~spl0_0),
% 81.57/10.72 inference(resolution,[status(thm)],[f3076,f3150])).
% 81.57/10.72 fof(f45577,plain,(
% 81.57/10.72 ~spl0_13|spl0_495|~spl0_0),
% 81.57/10.72 inference(split_clause,[status(thm)],[f45576,f3789,f45573,f3149])).
% 81.57/10.72 fof(f45703,plain,(
% 81.57/10.72 spl0_500 <=> c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OKey(v_K))),c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_Message_Omsg)),
% 81.57/10.72 introduced(split_symbol_definition)).
% 81.57/10.72 fof(f45704,plain,(
% 81.57/10.72 c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OKey(v_K))),c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_Message_Omsg)|~spl0_500),
% 81.57/10.72 inference(component_clause,[status(thm)],[f45703])).
% 81.57/10.72 fof(f45706,plain,(
% 81.57/10.72 c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OKey(v_K))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg)|c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OKey(v_K))),c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_Message_Omsg)|~spl0_495),
% 81.57/10.72 inference(resolution,[status(thm)],[f45574,f2926])).
% 81.57/10.72 fof(f45707,plain,(
% 81.57/10.72 spl0_8|spl0_500|~spl0_495),
% 81.57/10.72 inference(split_clause,[status(thm)],[f45706,f3181,f45703,f45573])).
% 81.57/10.72 fof(f45981,plain,(
% 81.57/10.72 spl0_511 <=> c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OKey(v_K))),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg)),
% 81.57/10.72 introduced(split_symbol_definition)).
% 81.57/10.72 fof(f45982,plain,(
% 81.57/10.72 c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OKey(v_K))),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg)|~spl0_511),
% 81.57/10.72 inference(component_clause,[status(thm)],[f45981])).
% 81.57/10.72 fof(f45986,plain,(
% 81.57/10.72 c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OKey(v_K))),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg)|c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg)|~spl0_500),
% 81.57/10.72 inference(resolution,[status(thm)],[f45704,f2993])).
% 81.57/10.72 fof(f45987,plain,(
% 81.57/10.72 spl0_511|spl0_267|~spl0_500),
% 81.57/10.72 inference(split_clause,[status(thm)],[f45986,f45981,f25892,f45703])).
% 81.57/10.72 fof(f46315,plain,(
% 81.57/10.72 spl0_516 <=> ~c_in(c_Message_Omsg_OKey(c_Message_OinvKey(c_Public_OpublicKey(X0,X1))),c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf),tc_Message_Omsg)),
% 81.57/10.72 introduced(split_symbol_definition)).
% 81.57/10.72 fof(f46316,plain,(
% 81.57/10.72 ![X0,X1]: (~c_in(c_Message_Omsg_OKey(c_Message_OinvKey(c_Public_OpublicKey(X0,X1))),c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf),tc_Message_Omsg)|~spl0_516)),
% 81.57/10.72 inference(component_clause,[status(thm)],[f46315])).
% 81.57/10.72 fof(f48171,plain,(
% 81.57/10.72 spl0_554 <=> c_in(c_UNIV,c_Finite__Set_OFinites,tc_set(tc_nat))),
% 81.57/10.72 introduced(split_symbol_definition)).
% 81.57/10.72 fof(f48172,plain,(
% 81.57/10.72 c_in(c_UNIV,c_Finite__Set_OFinites,tc_set(tc_nat))|~spl0_554),
% 81.57/10.72 inference(component_clause,[status(thm)],[f48171])).
% 81.57/10.72 fof(f48176,plain,(
% 81.57/10.72 $false|~spl0_554),
% 81.57/10.72 inference(forward_subsumption_resolution,[status(thm)],[f48172,f2753])).
% 81.57/10.72 fof(f48177,plain,(
% 81.57/10.72 ~spl0_554),
% 81.57/10.72 inference(contradiction_clause,[status(thm)],[f48176])).
% 81.57/10.72 fof(f48204,plain,(
% 81.57/10.72 spl0_556 <=> class_Orderings_Oorder(tc_set(tc_nat))),
% 81.57/10.72 introduced(split_symbol_definition)).
% 81.57/10.72 fof(f48206,plain,(
% 81.57/10.72 ~class_Orderings_Oorder(tc_set(tc_nat))|spl0_556),
% 81.57/10.72 inference(component_clause,[status(thm)],[f48204])).
% 81.57/10.72 fof(f48209,plain,(
% 81.57/10.72 $false|spl0_556),
% 81.57/10.72 inference(forward_subsumption_resolution,[status(thm)],[f48206,f1783])).
% 81.57/10.72 fof(f48210,plain,(
% 81.57/10.72 spl0_556),
% 81.57/10.72 inference(contradiction_clause,[status(thm)],[f48209])).
% 81.57/10.72 fof(f48771,plain,(
% 81.57/10.72 spl0_559 <=> class_Orderings_Oord(tc_set(tc_List_Olist(tc_nat)))),
% 81.57/10.72 introduced(split_symbol_definition)).
% 81.57/10.72 fof(f48773,plain,(
% 81.57/10.72 ~class_Orderings_Oord(tc_set(tc_List_Olist(tc_nat)))|spl0_559),
% 81.57/10.72 inference(component_clause,[status(thm)],[f48771])).
% 81.57/10.72 fof(f48781,plain,(
% 81.57/10.72 $false|spl0_559),
% 81.57/10.72 inference(forward_subsumption_resolution,[status(thm)],[f48773,f1782])).
% 81.57/10.72 fof(f48782,plain,(
% 81.57/10.72 spl0_559),
% 81.57/10.72 inference(contradiction_clause,[status(thm)],[f48781])).
% 81.57/10.72 fof(f49597,plain,(
% 81.57/10.72 spl0_571 <=> c_lessequals(c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),c_Message_Oanalz(c_Message_Osynth(c_Message_Oanalz(c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)))))),tc_set(tc_Message_Omsg))),
% 81.57/10.72 introduced(split_symbol_definition)).
% 81.57/10.72 fof(f49600,plain,(
% 81.57/10.72 c_lessequals(c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),c_Message_Oanalz(c_Message_Osynth(c_Message_Oanalz(c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)))))),tc_set(tc_Message_Omsg))|c_lessequals(c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),c_Message_Oanalz(c_Message_Osynth(c_Message_Oanalz(c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)))))),tc_set(tc_Message_Omsg))),
% 81.57/10.72 inference(resolution,[status(thm)],[f14813,f15055])).
% 81.57/10.72 fof(f49601,plain,(
% 81.57/10.72 spl0_571),
% 81.57/10.72 inference(split_clause,[status(thm)],[f49600,f49597])).
% 81.57/10.72 fof(f49602,plain,(
% 81.57/10.72 spl0_572 <=> c_lessequals(c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),c_Message_Oparts(c_Message_Osynth(c_Message_Oanalz(c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)))))),tc_set(tc_Message_Omsg))),
% 81.57/10.72 introduced(split_symbol_definition)).
% 81.57/10.72 fof(f49605,plain,(
% 81.57/10.72 c_lessequals(c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),c_Message_Oparts(c_Message_Osynth(c_Message_Oanalz(c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)))))),tc_set(tc_Message_Omsg))|c_lessequals(c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),c_Message_Oparts(c_Message_Osynth(c_Message_Oanalz(c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)))))),tc_set(tc_Message_Omsg))),
% 81.57/10.72 inference(resolution,[status(thm)],[f14813,f15012])).
% 81.57/10.72 fof(f49606,plain,(
% 81.57/10.72 spl0_572),
% 81.57/10.72 inference(split_clause,[status(thm)],[f49605,f49602])).
% 81.57/10.72 fof(f49607,plain,(
% 81.57/10.72 spl0_573 <=> c_lessequals(c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),c_Message_Osynth(c_Message_Osynth(c_Message_Oanalz(c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)))))),tc_set(tc_Message_Omsg))),
% 81.57/10.72 introduced(split_symbol_definition)).
% 81.57/10.72 fof(f49610,plain,(
% 81.57/10.72 c_lessequals(c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),c_Message_Osynth(c_Message_Osynth(c_Message_Oanalz(c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)))))),tc_set(tc_Message_Omsg))|c_lessequals(c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),c_Message_Osynth(c_Message_Osynth(c_Message_Oanalz(c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)))))),tc_set(tc_Message_Omsg))),
% 81.57/10.72 inference(resolution,[status(thm)],[f14813,f14974])).
% 81.57/10.72 fof(f49611,plain,(
% 81.57/10.72 spl0_573),
% 81.57/10.72 inference(split_clause,[status(thm)],[f49610,f49607])).
% 81.57/10.72 fof(f49612,plain,(
% 81.57/10.72 spl0_574 <=> c_lessequals(c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),c_Message_Osynth(c_Message_Oanalz(c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))))),tc_set(tc_Message_Omsg))),
% 81.57/10.72 introduced(split_symbol_definition)).
% 81.57/10.72 fof(f49615,plain,(
% 81.57/10.72 c_lessequals(c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),c_Message_Osynth(c_Message_Oanalz(c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))))),tc_set(tc_Message_Omsg))|c_lessequals(c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),c_Message_Osynth(c_Message_Oanalz(c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))))),tc_set(tc_Message_Omsg))),
% 81.57/10.72 inference(resolution,[status(thm)],[f14813,f1635])).
% 81.57/10.72 fof(f49616,plain,(
% 81.57/10.72 spl0_574),
% 81.57/10.72 inference(split_clause,[status(thm)],[f49615,f49612])).
% 81.57/10.72 fof(f50120,plain,(
% 81.57/10.72 spl0_583 <=> c_lessequals(c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),c_Message_Oanalz(c_Message_Oparts(c_Message_Oanalz(c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)))))),tc_set(tc_Message_Omsg))),
% 81.57/10.72 introduced(split_symbol_definition)).
% 81.57/10.72 fof(f50123,plain,(
% 81.57/10.72 c_lessequals(c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),c_Message_Oanalz(c_Message_Oparts(c_Message_Oanalz(c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)))))),tc_set(tc_Message_Omsg))|c_lessequals(c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),c_Message_Oanalz(c_Message_Oparts(c_Message_Oanalz(c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)))))),tc_set(tc_Message_Omsg))),
% 81.57/10.72 inference(resolution,[status(thm)],[f14831,f15055])).
% 81.57/10.72 fof(f50124,plain,(
% 81.57/10.72 spl0_583),
% 81.57/10.72 inference(split_clause,[status(thm)],[f50123,f50120])).
% 81.57/10.72 fof(f50125,plain,(
% 81.57/10.72 spl0_584 <=> c_lessequals(c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),c_Message_Oparts(c_Message_Oparts(c_Message_Oanalz(c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)))))),tc_set(tc_Message_Omsg))),
% 81.57/10.72 introduced(split_symbol_definition)).
% 81.57/10.72 fof(f50128,plain,(
% 81.57/10.72 c_lessequals(c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),c_Message_Oparts(c_Message_Oparts(c_Message_Oanalz(c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)))))),tc_set(tc_Message_Omsg))|c_lessequals(c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),c_Message_Oparts(c_Message_Oparts(c_Message_Oanalz(c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)))))),tc_set(tc_Message_Omsg))),
% 81.57/10.72 inference(resolution,[status(thm)],[f14831,f15012])).
% 81.57/10.72 fof(f50129,plain,(
% 81.57/10.72 spl0_584),
% 81.57/10.72 inference(split_clause,[status(thm)],[f50128,f50125])).
% 81.57/10.72 fof(f50130,plain,(
% 81.57/10.72 spl0_585 <=> c_lessequals(c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),c_Message_Osynth(c_Message_Oparts(c_Message_Oanalz(c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)))))),tc_set(tc_Message_Omsg))),
% 81.57/10.72 introduced(split_symbol_definition)).
% 81.57/10.72 fof(f50133,plain,(
% 81.57/10.72 c_lessequals(c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),c_Message_Osynth(c_Message_Oparts(c_Message_Oanalz(c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)))))),tc_set(tc_Message_Omsg))|c_lessequals(c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),c_Message_Osynth(c_Message_Oparts(c_Message_Oanalz(c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)))))),tc_set(tc_Message_Omsg))),
% 81.57/10.72 inference(resolution,[status(thm)],[f14831,f14974])).
% 81.57/10.72 fof(f50134,plain,(
% 81.57/10.72 spl0_585),
% 81.57/10.72 inference(split_clause,[status(thm)],[f50133,f50130])).
% 81.57/10.72 fof(f50135,plain,(
% 81.57/10.72 spl0_586 <=> c_lessequals(c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),c_Message_Oparts(c_Message_Oanalz(c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))))),tc_set(tc_Message_Omsg))),
% 81.57/10.72 introduced(split_symbol_definition)).
% 81.57/10.72 fof(f50138,plain,(
% 81.57/10.72 c_lessequals(c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),c_Message_Oparts(c_Message_Oanalz(c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))))),tc_set(tc_Message_Omsg))|c_lessequals(c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),c_Message_Oparts(c_Message_Oanalz(c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))))),tc_set(tc_Message_Omsg))),
% 81.57/10.72 inference(resolution,[status(thm)],[f14831,f1635])).
% 81.57/10.72 fof(f50139,plain,(
% 81.57/10.72 spl0_586),
% 81.57/10.72 inference(split_clause,[status(thm)],[f50138,f50135])).
% 81.57/10.72 fof(f51302,plain,(
% 81.57/10.72 spl0_587 <=> c_in(c_Pair(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_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)))))))),tc_Event_Oevent,tc_Event_Oevent),c_Relation_OId,tc_prod(tc_Event_Oevent,tc_Event_Oevent))),
% 81.57/10.72 introduced(split_symbol_definition)).
% 81.57/10.72 fof(f51304,plain,(
% 81.57/10.72 ~c_in(c_Pair(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_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)))))))),tc_Event_Oevent,tc_Event_Oevent),c_Relation_OId,tc_prod(tc_Event_Oevent,tc_Event_Oevent))|spl0_587),
% 81.57/10.72 inference(component_clause,[status(thm)],[f51302])).
% 81.57/10.72 fof(f51344,plain,(
% 81.57/10.72 $false|spl0_587),
% 81.57/10.72 inference(forward_subsumption_resolution,[status(thm)],[f51304,f2869])).
% 81.57/10.72 fof(f51345,plain,(
% 81.57/10.72 spl0_587),
% 81.57/10.72 inference(contradiction_clause,[status(thm)],[f51344])).
% 81.57/10.72 fof(f51374,plain,(
% 81.57/10.72 spl0_589 <=> c_in(c_Pair(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_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))))))),tc_Message_Omsg,tc_Message_Omsg),c_Relation_OId,tc_prod(tc_Message_Omsg,tc_Message_Omsg))),
% 81.57/10.72 introduced(split_symbol_definition)).
% 81.57/10.72 fof(f51376,plain,(
% 81.57/10.72 ~c_in(c_Pair(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_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))))))),tc_Message_Omsg,tc_Message_Omsg),c_Relation_OId,tc_prod(tc_Message_Omsg,tc_Message_Omsg))|spl0_589),
% 81.57/10.72 inference(component_clause,[status(thm)],[f51374])).
% 81.57/10.72 fof(f51416,plain,(
% 81.57/10.72 $false|spl0_589),
% 81.57/10.72 inference(forward_subsumption_resolution,[status(thm)],[f51376,f2869])).
% 81.57/10.72 fof(f51417,plain,(
% 81.57/10.72 spl0_589),
% 81.57/10.72 inference(contradiction_clause,[status(thm)],[f51416])).
% 81.57/10.72 fof(f51446,plain,(
% 81.57/10.72 spl0_591 <=> c_in(c_Pair(c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OKey(v_K)),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OKey(v_K)),tc_Message_Omsg,tc_Message_Omsg),c_Relation_OId,tc_prod(tc_Message_Omsg,tc_Message_Omsg))),
% 81.57/10.72 introduced(split_symbol_definition)).
% 81.57/10.72 fof(f51448,plain,(
% 81.57/10.72 ~c_in(c_Pair(c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OKey(v_K)),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OKey(v_K)),tc_Message_Omsg,tc_Message_Omsg),c_Relation_OId,tc_prod(tc_Message_Omsg,tc_Message_Omsg))|spl0_591),
% 81.57/10.72 inference(component_clause,[status(thm)],[f51446])).
% 81.57/10.72 fof(f51488,plain,(
% 81.57/10.72 $false|spl0_591),
% 81.57/10.72 inference(forward_subsumption_resolution,[status(thm)],[f51448,f2869])).
% 81.57/10.72 fof(f51489,plain,(
% 81.57/10.72 spl0_591),
% 81.57/10.72 inference(contradiction_clause,[status(thm)],[f51488])).
% 81.57/10.72 fof(f51495,plain,(
% 81.57/10.72 spl0_594 <=> c_in(c_0,c_emptyset,tc_nat)),
% 81.57/10.72 introduced(split_symbol_definition)).
% 81.57/10.72 fof(f51496,plain,(
% 81.57/10.72 c_in(c_0,c_emptyset,tc_nat)|~spl0_594),
% 81.57/10.72 inference(component_clause,[status(thm)],[f51495])).
% 81.57/10.72 fof(f51500,plain,(
% 81.57/10.72 $false|~spl0_594),
% 81.57/10.72 inference(forward_subsumption_resolution,[status(thm)],[f51496,f2934])).
% 81.57/10.72 fof(f51501,plain,(
% 81.57/10.72 ~spl0_594),
% 81.57/10.72 inference(contradiction_clause,[status(thm)],[f51500])).
% 81.57/10.72 fof(f51505,plain,(
% 81.57/10.72 ![X0]: (~c_in(X0,c_Event_Obad,tc_Message_Oagent)|~spl0_516)),
% 81.57/10.72 inference(resolution,[status(thm)],[f46316,f3093])).
% 81.57/10.72 fof(f51518,plain,(
% 81.57/10.72 $false|~spl0_516),
% 81.57/10.72 inference(backward_subsumption_resolution,[status(thm)],[f2970,f51505])).
% 81.57/10.72 fof(f51519,plain,(
% 81.57/10.72 ~spl0_516),
% 81.57/10.72 inference(contradiction_clause,[status(thm)],[f51518])).
% 81.57/10.72 fof(f51542,plain,(
% 81.57/10.72 spl0_596 <=> c_less(c_Main_OdiagE__1(c_SetInterval_OgreaterThan(c_0,tc_nat),c_Pair(c_1,c_1,tc_nat,tc_nat),tc_nat),c_Main_OdiagE__1(c_SetInterval_OgreaterThan(c_0,tc_nat),c_Pair(c_1,c_1,tc_nat,tc_nat),tc_nat),tc_nat)),
% 81.57/10.72 introduced(split_symbol_definition)).
% 81.57/10.72 fof(f51543,plain,(
% 81.57/10.72 c_less(c_Main_OdiagE__1(c_SetInterval_OgreaterThan(c_0,tc_nat),c_Pair(c_1,c_1,tc_nat,tc_nat),tc_nat),c_Main_OdiagE__1(c_SetInterval_OgreaterThan(c_0,tc_nat),c_Pair(c_1,c_1,tc_nat,tc_nat),tc_nat),tc_nat)|~spl0_596),
% 81.57/10.72 inference(component_clause,[status(thm)],[f51542])).
% 81.57/10.72 fof(f51577,plain,(
% 81.57/10.72 spl0_597 <=> c_in(c_Pair(c_1,c_1,tc_nat,tc_nat),c_Relation_OId,tc_prod(tc_nat,tc_nat))),
% 81.57/10.72 introduced(split_symbol_definition)).
% 81.57/10.72 fof(f51579,plain,(
% 81.57/10.72 ~c_in(c_Pair(c_1,c_1,tc_nat,tc_nat),c_Relation_OId,tc_prod(tc_nat,tc_nat))|spl0_597),
% 81.57/10.72 inference(component_clause,[status(thm)],[f51577])).
% 81.57/10.72 fof(f51619,plain,(
% 81.57/10.72 $false|spl0_597),
% 81.57/10.72 inference(forward_subsumption_resolution,[status(thm)],[f51579,f2869])).
% 81.57/10.72 fof(f51620,plain,(
% 81.57/10.72 spl0_597),
% 81.57/10.72 inference(contradiction_clause,[status(thm)],[f51619])).
% 81.57/10.72 fof(f51621,plain,(
% 81.57/10.72 $false|~spl0_596),
% 81.57/10.72 inference(forward_subsumption_resolution,[status(thm)],[f51543,f1582])).
% 81.57/10.72 fof(f51622,plain,(
% 81.57/10.72 ~spl0_596),
% 81.57/10.72 inference(contradiction_clause,[status(thm)],[f51621])).
% 81.57/10.72 fof(f51885,plain,(
% 81.57/10.72 spl0_599 <=> c_in(c_Pair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OKey(v_K))),c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OKey(v_K))),tc_Message_Omsg,tc_Message_Omsg),c_Relation_OId,tc_prod(tc_Message_Omsg,tc_Message_Omsg))),
% 81.57/10.72 introduced(split_symbol_definition)).
% 81.57/10.72 fof(f51887,plain,(
% 81.57/10.72 ~c_in(c_Pair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OKey(v_K))),c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OKey(v_K))),tc_Message_Omsg,tc_Message_Omsg),c_Relation_OId,tc_prod(tc_Message_Omsg,tc_Message_Omsg))|spl0_599),
% 81.57/10.72 inference(component_clause,[status(thm)],[f51885])).
% 81.57/10.72 fof(f51927,plain,(
% 81.57/10.72 $false|spl0_599),
% 81.57/10.72 inference(forward_subsumption_resolution,[status(thm)],[f51887,f2869])).
% 81.57/10.72 fof(f51928,plain,(
% 81.57/10.72 spl0_599),
% 81.57/10.72 inference(contradiction_clause,[status(thm)],[f51927])).
% 81.57/10.72 fof(f52032,plain,(
% 81.57/10.72 spl0_602 <=> c_in(c_Pair(c_Message_Omsg_OCrypt(c_Public_OshrK(c_Message_Oagent_OSpy),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OKey(v_K))),c_Message_Omsg_OCrypt(c_Public_OshrK(c_Message_Oagent_OSpy),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OKey(v_K))),tc_Message_Omsg,tc_Message_Omsg),c_Relation_OId,tc_prod(tc_Message_Omsg,tc_Message_Omsg))),
% 81.57/10.72 introduced(split_symbol_definition)).
% 81.57/10.72 fof(f52034,plain,(
% 81.57/10.72 ~c_in(c_Pair(c_Message_Omsg_OCrypt(c_Public_OshrK(c_Message_Oagent_OSpy),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OKey(v_K))),c_Message_Omsg_OCrypt(c_Public_OshrK(c_Message_Oagent_OSpy),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OKey(v_K))),tc_Message_Omsg,tc_Message_Omsg),c_Relation_OId,tc_prod(tc_Message_Omsg,tc_Message_Omsg))|spl0_602),
% 81.57/10.72 inference(component_clause,[status(thm)],[f52032])).
% 81.57/10.72 fof(f52074,plain,(
% 81.57/10.72 $false|spl0_602),
% 81.57/10.72 inference(forward_subsumption_resolution,[status(thm)],[f52034,f2869])).
% 81.57/10.72 fof(f52075,plain,(
% 81.57/10.72 spl0_602),
% 81.57/10.72 inference(contradiction_clause,[status(thm)],[f52074])).
% 81.57/10.72 fof(f52443,plain,(
% 81.57/10.72 spl0_607 <=> c_in(c_Pair(v_evsf,v_evsf,tc_List_Olist(tc_Event_Oevent),tc_List_Olist(tc_Event_Oevent)),c_Relation_OId,tc_prod(tc_List_Olist(tc_Event_Oevent),tc_List_Olist(tc_Event_Oevent)))),
% 81.57/10.72 introduced(split_symbol_definition)).
% 81.57/10.72 fof(f52445,plain,(
% 81.57/10.72 ~c_in(c_Pair(v_evsf,v_evsf,tc_List_Olist(tc_Event_Oevent),tc_List_Olist(tc_Event_Oevent)),c_Relation_OId,tc_prod(tc_List_Olist(tc_Event_Oevent),tc_List_Olist(tc_Event_Oevent)))|spl0_607),
% 81.57/10.72 inference(component_clause,[status(thm)],[f52443])).
% 81.57/10.72 fof(f52485,plain,(
% 81.57/10.72 $false|spl0_607),
% 81.57/10.72 inference(forward_subsumption_resolution,[status(thm)],[f52445,f2869])).
% 81.57/10.72 fof(f52486,plain,(
% 81.57/10.72 spl0_607),
% 81.57/10.72 inference(contradiction_clause,[status(thm)],[f52485])).
% 81.57/10.72 fof(f52966,plain,(
% 81.57/10.72 spl0_614 <=> X1=c_List_Olist_ONil),
% 81.57/10.72 introduced(split_symbol_definition)).
% 81.57/10.72 fof(f52967,plain,(
% 81.57/10.72 ![X0]: (X0=c_List_Olist_ONil|~spl0_614)),
% 81.57/10.72 inference(component_clause,[status(thm)],[f52966])).
% 81.57/10.72 fof(f52983,plain,(
% 81.57/10.72 spl0_616 <=> c_in(c_Pair(c_0,c_0,tc_nat,tc_nat),c_Relation_OId,tc_prod(tc_nat,tc_nat))),
% 81.57/10.72 introduced(split_symbol_definition)).
% 81.57/10.72 fof(f52985,plain,(
% 81.57/10.72 ~c_in(c_Pair(c_0,c_0,tc_nat,tc_nat),c_Relation_OId,tc_prod(tc_nat,tc_nat))|spl0_616),
% 81.57/10.72 inference(component_clause,[status(thm)],[f52983])).
% 81.57/10.72 fof(f53031,plain,(
% 81.57/10.72 spl0_619 <=> c_less(c_Main_OdiagE__1(c_SetInterval_OlessThan(c_Suc(X0),tc_nat),c_Pair(c_0,c_0,tc_nat,tc_nat),tc_nat),c_Main_OdiagE__1(c_SetInterval_OlessThan(c_Suc(X0),tc_nat),c_Pair(c_0,c_0,tc_nat,tc_nat),tc_nat),tc_nat)),
% 81.57/10.72 introduced(split_symbol_definition)).
% 81.57/10.72 fof(f53032,plain,(
% 81.57/10.72 ![X0]: (c_less(c_Main_OdiagE__1(c_SetInterval_OlessThan(c_Suc(X0),tc_nat),c_Pair(c_0,c_0,tc_nat,tc_nat),tc_nat),c_Main_OdiagE__1(c_SetInterval_OlessThan(c_Suc(X0),tc_nat),c_Pair(c_0,c_0,tc_nat,tc_nat),tc_nat),tc_nat)|~spl0_619)),
% 81.57/10.72 inference(component_clause,[status(thm)],[f53031])).
% 81.57/10.72 fof(f53108,plain,(
% 81.57/10.72 $false|~spl0_619),
% 81.57/10.72 inference(forward_subsumption_resolution,[status(thm)],[f53032,f1582])).
% 81.57/10.72 fof(f53109,plain,(
% 81.57/10.72 ~spl0_619),
% 81.57/10.72 inference(contradiction_clause,[status(thm)],[f53108])).
% 81.57/10.72 fof(f53110,plain,(
% 81.57/10.72 $false|spl0_616),
% 81.57/10.72 inference(forward_subsumption_resolution,[status(thm)],[f52985,f2869])).
% 81.57/10.72 fof(f53111,plain,(
% 81.57/10.72 spl0_616),
% 81.57/10.72 inference(contradiction_clause,[status(thm)],[f53110])).
% 81.57/10.72 fof(f53117,plain,(
% 81.57/10.72 ![X0]: (c_lessequals(c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),X0,tc_set(tc_Message_Omsg))|c_in(c_Main_OsubsetI__1(c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),X0,tc_Message_Omsg),c_Message_Oparts(c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)))),tc_Message_Omsg))),
% 81.57/10.72 inference(forward_demodulation,[status(thm)],[f17326,f14832])).
% 81.57/10.72 fof(f53120,plain,(
% 81.57/10.72 spl0_621 <=> c_lessequals(c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),c_Message_Oanalz(c_Message_Oparts(c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))))),tc_set(tc_Message_Omsg))),
% 81.57/10.72 introduced(split_symbol_definition)).
% 81.57/10.72 fof(f53123,plain,(
% 81.57/10.72 c_lessequals(c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),c_Message_Oanalz(c_Message_Oparts(c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))))),tc_set(tc_Message_Omsg))|c_lessequals(c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),c_Message_Oanalz(c_Message_Oparts(c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))))),tc_set(tc_Message_Omsg))),
% 81.57/10.72 inference(resolution,[status(thm)],[f53117,f15055])).
% 81.57/10.72 fof(f53124,plain,(
% 81.57/10.72 spl0_621),
% 81.57/10.72 inference(split_clause,[status(thm)],[f53123,f53120])).
% 81.57/10.72 fof(f53125,plain,(
% 81.57/10.72 spl0_622 <=> c_lessequals(c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),c_Message_Oparts(c_Message_Oparts(c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))))),tc_set(tc_Message_Omsg))),
% 81.57/10.72 introduced(split_symbol_definition)).
% 81.57/10.72 fof(f53128,plain,(
% 81.57/10.72 c_lessequals(c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),c_Message_Oparts(c_Message_Oparts(c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))))),tc_set(tc_Message_Omsg))|c_lessequals(c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),c_Message_Oparts(c_Message_Oparts(c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))))),tc_set(tc_Message_Omsg))),
% 81.57/10.72 inference(resolution,[status(thm)],[f53117,f15012])).
% 81.57/10.72 fof(f53129,plain,(
% 81.57/10.72 spl0_622),
% 81.57/10.72 inference(split_clause,[status(thm)],[f53128,f53125])).
% 81.57/10.72 fof(f53130,plain,(
% 81.57/10.72 spl0_623 <=> c_lessequals(c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),c_Message_Osynth(c_Message_Oparts(c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))))),tc_set(tc_Message_Omsg))),
% 81.57/10.72 introduced(split_symbol_definition)).
% 81.57/10.72 fof(f53133,plain,(
% 81.57/10.72 c_lessequals(c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),c_Message_Osynth(c_Message_Oparts(c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))))),tc_set(tc_Message_Omsg))|c_lessequals(c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),c_Message_Osynth(c_Message_Oparts(c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))))),tc_set(tc_Message_Omsg))),
% 81.57/10.72 inference(resolution,[status(thm)],[f53117,f14974])).
% 81.57/10.72 fof(f53134,plain,(
% 81.57/10.72 spl0_623),
% 81.57/10.72 inference(split_clause,[status(thm)],[f53133,f53130])).
% 81.57/10.72 fof(f53135,plain,(
% 81.57/10.72 spl0_624 <=> c_lessequals(c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),c_Message_Oparts(c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)))),tc_set(tc_Message_Omsg))),
% 81.57/10.72 introduced(split_symbol_definition)).
% 81.57/10.72 fof(f53138,plain,(
% 81.57/10.72 c_lessequals(c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),c_Message_Oparts(c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)))),tc_set(tc_Message_Omsg))|c_lessequals(c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),c_Message_Oparts(c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)))),tc_set(tc_Message_Omsg))),
% 81.57/10.72 inference(resolution,[status(thm)],[f53117,f1635])).
% 81.57/10.72 fof(f53139,plain,(
% 81.57/10.72 spl0_624),
% 81.57/10.72 inference(split_clause,[status(thm)],[f53138,f53135])).
% 81.57/10.72 fof(f53645,plain,(
% 81.57/10.72 $false|~spl0_614),
% 81.57/10.72 inference(backward_subsumption_resolution,[status(thm)],[f2805,f52967])).
% 81.57/10.72 fof(f53646,plain,(
% 81.57/10.72 ~spl0_614),
% 81.57/10.72 inference(contradiction_clause,[status(thm)],[f53645])).
% 81.57/10.72 fof(f54538,plain,(
% 81.57/10.72 spl0_625 <=> c_less(c_Main_OdiagE__1(c_SetInterval_OlessThan(c_1,tc_nat),c_Pair(c_0,c_0,tc_nat,tc_nat),tc_nat),c_Main_OdiagE__1(c_SetInterval_OlessThan(c_1,tc_nat),c_Pair(c_0,c_0,tc_nat,tc_nat),tc_nat),tc_nat)),
% 81.57/10.72 introduced(split_symbol_definition)).
% 81.57/10.72 fof(f54539,plain,(
% 81.57/10.72 c_less(c_Main_OdiagE__1(c_SetInterval_OlessThan(c_1,tc_nat),c_Pair(c_0,c_0,tc_nat,tc_nat),tc_nat),c_Main_OdiagE__1(c_SetInterval_OlessThan(c_1,tc_nat),c_Pair(c_0,c_0,tc_nat,tc_nat),tc_nat),tc_nat)|~spl0_625),
% 81.57/10.72 inference(component_clause,[status(thm)],[f54538])).
% 81.57/10.72 fof(f54606,plain,(
% 81.57/10.72 $false|~spl0_625),
% 81.57/10.72 inference(forward_subsumption_resolution,[status(thm)],[f54539,f1582])).
% 81.57/10.72 fof(f54607,plain,(
% 81.57/10.72 ~spl0_625),
% 81.57/10.72 inference(contradiction_clause,[status(thm)],[f54606])).
% 81.57/10.72 fof(f54640,plain,(
% 81.57/10.72 spl0_628 <=> X1=c_0),
% 81.57/10.72 introduced(split_symbol_definition)).
% 81.57/10.72 fof(f54641,plain,(
% 81.57/10.72 ![X0]: (X0=c_0|~spl0_628)),
% 81.57/10.72 inference(component_clause,[status(thm)],[f54640])).
% 81.57/10.72 fof(f54681,plain,(
% 81.57/10.72 spl0_629 <=> c_less(c_Main_OdiagE__1(c_SetInterval_OatMost(X0,tc_nat),c_Pair(c_0,c_0,tc_nat,tc_nat),tc_nat),c_Main_OdiagE__1(c_SetInterval_OatMost(X0,tc_nat),c_Pair(c_0,c_0,tc_nat,tc_nat),tc_nat),tc_nat)),
% 81.57/10.72 introduced(split_symbol_definition)).
% 81.57/10.72 fof(f54682,plain,(
% 81.57/10.72 ![X0]: (c_less(c_Main_OdiagE__1(c_SetInterval_OatMost(X0,tc_nat),c_Pair(c_0,c_0,tc_nat,tc_nat),tc_nat),c_Main_OdiagE__1(c_SetInterval_OatMost(X0,tc_nat),c_Pair(c_0,c_0,tc_nat,tc_nat),tc_nat),tc_nat)|~spl0_629)),
% 81.57/10.72 inference(component_clause,[status(thm)],[f54681])).
% 81.57/10.72 fof(f54749,plain,(
% 81.57/10.72 $false|~spl0_629),
% 81.57/10.72 inference(forward_subsumption_resolution,[status(thm)],[f54682,f1582])).
% 81.57/10.72 fof(f54750,plain,(
% 81.57/10.72 ~spl0_629),
% 81.57/10.72 inference(contradiction_clause,[status(thm)],[f54749])).
% 81.57/10.72 fof(f55336,plain,(
% 81.57/10.72 $false|~spl0_628),
% 81.57/10.72 inference(backward_subsumption_resolution,[status(thm)],[f2837,f54641])).
% 81.57/10.72 fof(f55337,plain,(
% 81.57/10.72 ~spl0_628),
% 81.57/10.72 inference(contradiction_clause,[status(thm)],[f55336])).
% 81.57/10.72 fof(f55917,plain,(
% 81.57/10.72 ![X0]: (c_lessequals(c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),X0,tc_set(tc_Message_Omsg))|c_in(c_Main_OsubsetI__1(c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),X0,tc_Message_Omsg),c_Message_Oanalz(c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)))),tc_Message_Omsg))),
% 81.57/10.72 inference(forward_demodulation,[status(thm)],[f17927,f14849])).
% 81.57/10.72 fof(f55920,plain,(
% 81.57/10.72 spl0_630 <=> c_lessequals(c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),c_Message_Oanalz(c_Message_Oanalz(c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))))),tc_set(tc_Message_Omsg))),
% 81.57/10.72 introduced(split_symbol_definition)).
% 81.57/10.72 fof(f55923,plain,(
% 81.57/10.72 c_lessequals(c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),c_Message_Oanalz(c_Message_Oanalz(c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))))),tc_set(tc_Message_Omsg))|c_lessequals(c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),c_Message_Oanalz(c_Message_Oanalz(c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))))),tc_set(tc_Message_Omsg))),
% 81.57/10.72 inference(resolution,[status(thm)],[f55917,f15055])).
% 81.57/10.72 fof(f55924,plain,(
% 81.57/10.72 spl0_630),
% 81.57/10.72 inference(split_clause,[status(thm)],[f55923,f55920])).
% 81.57/10.72 fof(f55929,plain,(
% 81.57/10.72 spl0_631 <=> c_lessequals(c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),c_Message_Oanalz(c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)))),tc_set(tc_Message_Omsg))),
% 81.57/10.72 introduced(split_symbol_definition)).
% 81.57/10.72 fof(f55932,plain,(
% 81.57/10.72 c_lessequals(c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),c_Message_Oanalz(c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)))),tc_set(tc_Message_Omsg))|c_lessequals(c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),c_Message_Oanalz(c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)))),tc_set(tc_Message_Omsg))),
% 81.57/10.72 inference(resolution,[status(thm)],[f55917,f1635])).
% 81.57/10.72 fof(f55933,plain,(
% 81.57/10.72 spl0_631),
% 81.57/10.72 inference(split_clause,[status(thm)],[f55932,f55929])).
% 81.57/10.72 fof(f56217,plain,(
% 81.57/10.72 spl0_634 <=> ~c_in(X0,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent))),
% 81.57/10.72 introduced(split_symbol_definition)).
% 81.57/10.72 fof(f56218,plain,(
% 81.57/10.72 ![X0]: (~c_in(X0,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent))|~spl0_634)),
% 81.57/10.72 inference(component_clause,[status(thm)],[f56217])).
% 81.57/10.72 fof(f56273,plain,(
% 81.57/10.72 $false|~spl0_634),
% 81.57/10.72 inference(backward_subsumption_resolution,[status(thm)],[f3125,f56218])).
% 81.57/10.72 fof(f56274,plain,(
% 81.57/10.72 ~spl0_634),
% 81.57/10.72 inference(contradiction_clause,[status(thm)],[f56273])).
% 81.57/10.72 fof(f59703,plain,(
% 81.57/10.72 spl0_669 <=> c_Nat_Osize(X0,tc_List_Olist(X1))=c_0|X0=c_List_Olist_ONil),
% 81.57/10.72 introduced(split_symbol_definition)).
% 81.57/10.72 fof(f59704,plain,(
% 81.57/10.72 ![X0,X1]: (c_Nat_Osize(X0,tc_List_Olist(X1))=c_0|X0=c_List_Olist_ONil|~spl0_669)),
% 81.57/10.72 inference(component_clause,[status(thm)],[f59703])).
% 81.57/10.72 fof(f59708,plain,(
% 81.57/10.72 spl0_670 <=> c_Suc(X0)=c_0),
% 82.62/10.84 introduced(split_symbol_definition)).
% 82.62/10.84 fof(f59709,plain,(
% 82.62/10.84 ![X0]: (c_Suc(X0)=c_0|~spl0_670)),
% 82.62/10.84 inference(component_clause,[status(thm)],[f59708])).
% 82.62/10.84 fof(f59799,plain,(
% 82.62/10.84 $false|~spl0_670),
% 82.62/10.84 inference(forward_subsumption_resolution,[status(thm)],[f59709,f2837])).
% 82.62/10.84 fof(f59800,plain,(
% 82.62/10.84 ~spl0_670),
% 82.62/10.84 inference(contradiction_clause,[status(thm)],[f59799])).
% 82.62/10.84 fof(f59801,plain,(
% 82.62/10.84 ![X0]: (X0=c_List_Olist_ONil|~spl0_669)),
% 82.62/10.84 inference(forward_subsumption_resolution,[status(thm)],[f59704,f2798])).
% 82.62/10.84 fof(f60108,plain,(
% 82.62/10.84 $false|~spl0_669),
% 82.62/10.84 inference(backward_subsumption_resolution,[status(thm)],[f2805,f59801])).
% 82.62/10.84 fof(f60109,plain,(
% 82.62/10.84 ~spl0_669),
% 82.62/10.84 inference(contradiction_clause,[status(thm)],[f60108])).
% 82.62/10.84 fof(f63540,plain,(
% 82.62/10.84 spl0_729 <=> c_Datatype_Ooption_OSome(c_0,tc_nat)=c_Datatype_Ooption_ONone),
% 82.62/10.84 introduced(split_symbol_definition)).
% 82.62/10.84 fof(f63541,plain,(
% 82.62/10.84 c_Datatype_Ooption_OSome(c_0,tc_nat)=c_Datatype_Ooption_ONone|~spl0_729),
% 82.62/10.84 inference(component_clause,[status(thm)],[f63540])).
% 82.62/10.84 fof(f63551,plain,(
% 82.62/10.84 $false|~spl0_729),
% 82.62/10.84 inference(forward_subsumption_resolution,[status(thm)],[f63541,f2701])).
% 82.62/10.84 fof(f63552,plain,(
% 82.62/10.84 ~spl0_729),
% 82.62/10.84 inference(contradiction_clause,[status(thm)],[f63551])).
% 82.62/10.84 fof(f65568,plain,(
% 82.62/10.84 c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OKey(v_K))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg)|~spl0_511),
% 82.62/10.84 inference(resolution,[status(thm)],[f45982,f3079])).
% 82.62/10.84 fof(f65569,plain,(
% 82.62/10.84 $false|spl0_8|~spl0_511),
% 82.62/10.84 inference(forward_subsumption_resolution,[status(thm)],[f65568,f3183])).
% 82.62/10.84 fof(f65570,plain,(
% 82.62/10.84 spl0_8|~spl0_511),
% 82.62/10.84 inference(contradiction_clause,[status(thm)],[f65569])).
% 82.62/10.84 fof(f65571,plain,(
% 82.62/10.84 $false),
% 82.62/10.84 inference(sat_refutation,[status(thm)],[f3184,f3188,f3189,f3190,f4371,f8408,f9932,f27646,f27649,f29613,f29686,f32030,f32520,f32769,f33898,f33912,f34034,f35248,f35697,f36521,f36558,f37191,f37471,f38644,f39438,f39440,f39442,f39609,f39639,f40106,f41956,f45577,f45707,f45987,f48177,f48210,f48782,f49601,f49606,f49611,f49616,f50124,f50129,f50134,f50139,f51345,f51417,f51489,f51501,f51519,f51620,f51622,f51928,f52075,f52486,f53109,f53111,f53124,f53129,f53134,f53139,f53646,f54607,f54750,f55337,f55924,f55933,f56274,f59800,f60109,f63552,f65570])).
% 82.62/10.84 % SZS output end CNFRefutation for theBenchmark.p
% 83.36/11.04 % Elapsed time: 10.730180 seconds
% 83.36/11.04 % CPU time: 83.261486 seconds
% 83.36/11.04 % Memory used: 935.538 MB
%------------------------------------------------------------------------------