%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SWV321-1 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n010.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 02:50:31 PM UTC 2026
% Result : Unsatisfiable 83.47s 11.10s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV321-1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n010.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Mon Sep 21 08:40:42 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.14/0.42 % Drodi V4.1.1
% 83.47/11.10 % Refutation found
% 83.47/11.10 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 83.47/11.10 % SZS output start CNFRefutation for theBenchmark
% 83.47/11.10 fof(f29,axiom,(
% 83.47/11.10 (![V_A,T_a,V_a]: (( ~ c_in(V_A,c_Finite__Set_OFinites,tc_set(T_a))| c_in(c_insert(V_a,V_A,T_a),c_Finite__Set_OFinites,tc_set(T_a)) ) ))),
% 83.47/11.10 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 83.47/11.10 fof(f37,axiom,(
% 83.47/11.10 (![V_n,V_m]: (c_lessequals(c_uminus(c_IntDef_Oint(V_n),tc_IntDef_Oint),c_IntDef_Oint(V_m),tc_IntDef_Oint) ))),
% 83.47/11.10 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 83.47/11.10 fof(f38,axiom,(
% 83.47/11.10 (![V_n,V_m]: (c_less(c_uminus(c_IntDef_Oint(c_Suc(V_n)),tc_IntDef_Oint),c_IntDef_Oint(V_m),tc_IntDef_Oint) ))),
% 83.47/11.10 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 83.47/11.10 fof(f48,axiom,(
% 83.47/11.10 (![V_A,V_xs,T_a]: (( ~ c_in(c_Main_Oin__listsI__1(V_A,V_xs,T_a),V_A,T_a)| c_in(V_xs,c_List_Olists(V_A,T_a),tc_List_Olist(T_a)) ) ))),
% 83.47/11.10 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 83.47/11.10 fof(f49,axiom,(
% 83.47/11.10 (![V_xs,T_a]: (c_lessequals(c_Nat_Osize(c_List_Oremdups(V_xs,T_a),tc_List_Olist(T_a)),c_Nat_Osize(V_xs,tc_List_Olist(T_a)),tc_nat) ))),
% 83.47/11.10 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 83.47/11.10 fof(f59,axiom,(
% 83.47/11.10 (![V_x,V_l,T_a,V_A]: (( ~ c_in(c_List_Olist_OCons(V_x,V_l,T_a),c_List_Olists(V_A,T_a),tc_List_Olist(T_a))| c_in(V_x,V_A,T_a) ) ))),
% 83.47/11.10 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 83.47/11.10 fof(f64,axiom,(
% 83.47/11.10 (![V_n]: (c_lessequals(c_0,V_n,tc_nat) ))),
% 83.47/11.10 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 83.47/11.10 fof(f65,axiom,(
% 83.47/11.10 (![V_n]: (c_less(V_n,c_Suc(V_n),tc_nat) ))),
% 83.47/11.10 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 83.47/11.10 fof(f67,axiom,(
% 83.47/11.10 (![V_n]: (c_less(c_0,c_Suc(V_n),tc_nat) ))),
% 83.47/11.10 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 83.47/11.10 fof(f68,axiom,(
% 83.47/11.10 (![T_a,V_x]: (( ~ class_Orderings_Oorder(T_a)| c_lessequals(V_x,V_x,T_a) ) ))),
% 83.47/11.10 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 83.47/11.10 fof(f96,axiom,(
% 83.47/11.10 (![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)) ) ))),
% 83.47/11.10 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 83.47/11.10 fof(f98,axiom,(
% 83.47/11.10 (![V_x,T_a]: (c_in(V_x,c_UNIV,T_a) ))),
% 83.47/11.10 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 83.47/11.10 fof(f101,axiom,(
% 83.47/11.10 (![V_A,T_a]: (c_lessequals(c_emptyset,V_A,tc_set(T_a)) ))),
% 83.47/11.10 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 83.47/11.10 fof(f104,axiom,(
% 83.47/11.10 (![V_A,V_B,T_a]: (( ~ c_lessequals(V_A,V_B,tc_set(T_a))| c_less(V_A,V_B,tc_set(T_a))| V_A = V_B ) ))),
% 83.47/11.10 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 83.47/11.10 fof(f108,axiom,(
% 83.47/11.10 (![V_c,V_A,T_a,V_B]: (( ~ c_in(V_c,V_A,T_a)| ~ c_lessequals(V_A,V_B,tc_set(T_a))| c_in(V_c,V_B,T_a) ) ))),
% 83.47/11.10 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 83.47/11.10 fof(f109,axiom,(
% 83.47/11.10 (![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)) ) ))),
% 83.47/11.10 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 83.47/11.10 fof(f110,axiom,(
% 83.47/11.10 (![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)) ) ))),
% 83.47/11.10 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 83.47/11.10 fof(f111,axiom,(
% 83.47/11.10 (![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 ) ))),
% 83.47/11.10 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 83.47/11.10 fof(f112,axiom,(
% 83.47/11.10 (![V_A,T_a]: (c_lessequals(V_A,V_A,tc_set(T_a)) ))),
% 83.47/11.10 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 83.47/11.10 fof(f158,axiom,(
% 83.47/11.10 class_Orderings_Olinorder(tc_IntDef_Oint) ),
% 83.47/11.10 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 83.47/11.10 fof(f174,axiom,(
% 83.47/11.10 class_Orderings_Oord(tc_IntDef_Oint) ),
% 83.47/11.10 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 83.47/11.10 fof(f210,axiom,(
% 83.47/11.10 class_Orderings_Oord(tc_nat) ),
% 83.47/11.10 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 83.47/11.10 fof(f221,axiom,(
% 83.47/11.10 class_Orderings_Oorder(tc_nat) ),
% 83.47/11.10 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 83.47/11.10 fof(f243,axiom,(
% 83.47/11.10 class_Orderings_Olinorder(tc_nat) ),
% 83.47/11.10 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 83.47/11.10 fof(f248,axiom,(
% 83.47/11.10 (![T_1]: (class_Orderings_Oord(tc_set(T_1)) ))),
% 83.47/11.10 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 83.47/11.10 fof(f249,axiom,(
% 83.47/11.10 (![T_1]: (class_Orderings_Oorder(tc_set(T_1)) ))),
% 83.47/11.10 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 83.47/11.10 fof(f1235,axiom,(
% 83.47/11.10 (![V_xs,T_a]: (( c_less(c_0,c_Nat_Osize(V_xs,tc_List_Olist(T_a)),tc_nat)| V_xs = c_List_Olist_ONil ) ))),
% 83.47/11.10 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 83.47/11.10 fof(f1252,axiom,(
% 83.47/11.10 (![V_xs,T_a]: (( c_emptyset != c_List_Oset(V_xs,T_a)| V_xs = c_List_Olist_ONil ) ))),
% 83.47/11.10 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 83.47/11.10 fof(f1253,axiom,(
% 83.47/11.10 (![T_a]: (c_emptyset = c_List_Oset(c_List_Olist_ONil,T_a) ))),
% 83.47/11.10 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 83.47/11.10 fof(f1257,axiom,(
% 83.47/11.10 (![V_n,V_m]: (( ~ c_lessequals(c_Suc(V_n),c_Suc(V_m),tc_nat)| c_lessequals(V_n,V_m,tc_nat) ) ))),
% 83.47/11.10 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 83.47/11.10 fof(f1258,axiom,(
% 83.47/11.10 (![V_n,V_m]: (( ~ c_lessequals(V_n,V_m,tc_nat)| c_lessequals(c_Suc(V_n),c_Suc(V_m),tc_nat) ) ))),
% 83.47/11.10 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 83.47/11.10 fof(f1260,axiom,(
% 83.47/11.10 (![V_m,V_n]: (( ~ c_less(V_m,V_n,tc_nat)| c_less(c_Suc(V_m),c_Suc(V_n),tc_nat) ) ))),
% 83.47/11.10 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 83.47/11.10 fof(f1264,axiom,(
% 83.47/11.10 (![V_m,V_n]: (( ~ c_less(c_0,V_m,tc_nat)| c_less(c_0,c_plus(V_m,V_n,tc_nat),tc_nat) ) ))),
% 83.47/11.10 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 83.47/11.10 fof(f1265,axiom,(
% 83.47/11.10 (![V_n,V_m]: (( ~ c_less(c_0,V_n,tc_nat)| c_less(c_0,c_plus(V_m,V_n,tc_nat),tc_nat) ) ))),
% 83.47/11.10 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 83.47/11.10 fof(f1269,axiom,(
% 83.47/11.10 (![V_i]: (( ~ c_lessequals(V_i,c_0,tc_nat)| V_i = c_0 ) ))),
% 83.47/11.10 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 83.47/11.10 fof(f1274,axiom,(
% 83.47/11.10 c_less(c_0,c_1,tc_nat) ),
% 83.47/11.10 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 83.47/11.10 fof(f1275,axiom,(
% 83.47/11.10 (![V_n]: (( c_less(c_0,V_n,tc_nat)| V_n = c_0 ) ))),
% 83.47/11.10 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 83.47/11.10 fof(f1282,axiom,(
% 83.47/11.10 (![T_a,V_x]: (( ~ class_Orderings_Oorder(T_a)| ~ c_less(V_x,V_x,T_a) ) ))),
% 83.47/11.11 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 83.47/11.11 fof(f1291,axiom,(
% 83.47/11.11 (![T_a,V_x,V_y]: (( ~ class_Orderings_Olinorder(T_a)| c_SetInterval_OatLeast(V_x,T_a) != c_SetInterval_OatLeast(V_y,T_a)| V_x = V_y ) ))),
% 83.47/11.11 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 83.47/11.11 fof(f1292,axiom,(
% 83.47/11.11 (![T_a,V_i,V_k]: (( ~ class_Orderings_Oord(T_a)| ~ c_in(V_i,c_SetInterval_OatLeast(V_k,T_a),T_a)| c_lessequals(V_k,V_i,T_a) ) ))),
% 83.47/11.11 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 83.47/11.11 fof(f1293,axiom,(
% 83.47/11.11 (![T_a,V_k,V_i]: (( ~ class_Orderings_Oord(T_a)| ~ c_lessequals(V_k,V_i,T_a)| c_in(V_i,c_SetInterval_OatLeast(V_k,T_a),T_a) ) ))),
% 83.47/11.11 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 83.47/11.11 fof(f1294,axiom,(
% 83.47/11.11 (![T_a,V_x,V_y]: (( ~ class_Orderings_Oorder(T_a)| ~ c_lessequals(c_SetInterval_OatLeast(V_x,T_a),c_SetInterval_OatLeast(V_y,T_a),tc_set(T_a))| c_lessequals(V_y,V_x,T_a) ) ))),
% 83.47/11.11 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 83.47/11.11 fof(f1295,axiom,(
% 83.47/11.11 (![T_a,V_y,V_x]: (( ~ class_Orderings_Oorder(T_a)| ~ c_lessequals(V_y,V_x,T_a)| c_lessequals(c_SetInterval_OatLeast(V_x,T_a),c_SetInterval_OatLeast(V_y,T_a),tc_set(T_a)) ) ))),
% 83.47/11.11 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 83.47/11.11 fof(f1297,axiom,(
% 83.47/11.11 (![T_a,V_i,V_k]: (( ~ class_Orderings_Oord(T_a)| ~ c_in(V_i,c_SetInterval_OatMost(V_k,T_a),T_a)| c_lessequals(V_i,V_k,T_a) ) ))),
% 83.47/11.11 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 83.47/11.11 fof(f1298,axiom,(
% 83.47/11.11 (![T_a,V_i,V_k]: (( ~ class_Orderings_Oord(T_a)| ~ c_lessequals(V_i,V_k,T_a)| c_in(V_i,c_SetInterval_OatMost(V_k,T_a),T_a) ) ))),
% 83.47/11.11 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 83.47/11.11 fof(f1302,axiom,(
% 83.47/11.11 (![T_a,V_i,V_k]: (( ~ class_Orderings_Oord(T_a)| ~ c_in(V_i,c_SetInterval_OgreaterThan(V_k,T_a),T_a)| c_less(V_k,V_i,T_a) ) ))),
% 83.47/11.11 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 83.47/11.11 fof(f1303,axiom,(
% 83.47/11.11 (![T_a,V_k,V_i]: (( ~ class_Orderings_Oord(T_a)| ~ c_less(V_k,V_i,T_a)| c_in(V_i,c_SetInterval_OgreaterThan(V_k,T_a),T_a) ) ))),
% 83.47/11.11 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 83.47/11.11 fof(f1304,axiom,(
% 83.47/11.11 (![T_a,V_x,V_y]: (( ~ class_Orderings_Olinorder(T_a)| ~ c_lessequals(c_SetInterval_OgreaterThan(V_x,T_a),c_SetInterval_OgreaterThan(V_y,T_a),tc_set(T_a))| c_lessequals(V_y,V_x,T_a) ) ))),
% 83.47/11.11 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 83.47/11.11 fof(f1308,axiom,(
% 83.47/11.11 (![T_a,V_i,V_k]: (( ~ class_Orderings_Oord(T_a)| ~ c_less(V_i,V_k,T_a)| c_in(V_i,c_SetInterval_OlessThan(V_k,T_a),T_a) ) ))),
% 83.47/11.11 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 83.47/11.11 fof(f1328,axiom,(
% 83.47/11.11 (![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) ) ))),
% 83.47/11.11 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 83.47/11.11 fof(f1333,axiom,(
% 83.47/11.11 (![V_a,T_a]: (~ c_in(V_a,c_emptyset,T_a) ))),
% 83.47/11.11 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 83.47/11.11 fof(f1334,axiom,(
% 83.47/11.11 (![V_a,V_B,T_a,V_b]: (( ~ c_in(V_a,V_B,T_a)| c_in(V_a,c_insert(V_b,V_B,T_a),T_a) ) ))),
% 83.47/11.11 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 83.47/11.11 fof(f1336,axiom,(
% 83.47/11.11 (![V_a,V_b,V_A,T_a]: (( ~ c_in(V_a,c_insert(V_b,V_A,T_a),T_a)| c_in(V_a,V_A,T_a)| V_a = V_b ) ))),
% 83.47/11.11 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 83.47/11.11 fof(f1394,axiom,(
% 83.47/11.11 (![V_K,V_H]: (( ~ c_in(c_Message_Omsg_OKey(V_K),c_Message_Osynth(V_H),tc_Message_Omsg)| c_in(c_Message_Omsg_OKey(V_K),V_H,tc_Message_Omsg) ) ))),
% 83.47/11.11 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 83.47/11.11 fof(f1395,axiom,(
% 83.47/11.11 (![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) ) ))),
% 83.47/11.11 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 83.47/11.11 fof(f1396,axiom,(
% 83.47/11.11 (![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) ) ))),
% 83.47/11.11 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 83.47/11.11 fof(f1400,axiom,(
% 83.47/11.11 (![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) ) ))),
% 83.47/11.11 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 83.47/11.11 fof(f1401,axiom,(
% 83.47/11.11 (![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_X,c_Message_Oparts(V_H),tc_Message_Omsg) ) ))),
% 83.47/11.11 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 83.47/11.11 fof(f1404,axiom,(
% 83.47/11.11 (![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) ) ))),
% 83.47/11.11 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 83.47/11.11 fof(f1405,axiom,(
% 83.47/11.11 (![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) ) ))),
% 83.47/11.11 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 83.47/11.11 fof(f1406,axiom,(
% 83.47/11.11 (![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) ) ))),
% 83.47/11.11 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 83.47/11.11 fof(f1415,axiom,(
% 83.47/11.11 (![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) ) ))),
% 83.47/11.11 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 83.47/11.11 fof(f1416,axiom,(
% 83.47/11.11 (![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) ) ))),
% 83.47/11.11 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 83.47/11.11 fof(f1427,axiom,(
% 83.47/11.11 (![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) ) ))),
% 83.47/11.11 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 83.47/11.11 fof(f1428,axiom,(
% 83.47/11.11 (![V_X]: (~ c_in(V_X,c_Message_Oparts(c_emptyset),tc_Message_Omsg) ))),
% 83.47/11.11 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 83.47/11.11 fof(f1429,axiom,(
% 83.47/11.11 (![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) ) ))),
% 83.47/11.11 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 83.47/11.11 fof(f1433,axiom,(
% 83.47/11.11 (![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) ) ))),
% 83.47/11.11 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 83.47/11.11 fof(f1436,axiom,(
% 83.47/11.11 (![V_X,V_H]: (( ~ c_in(V_X,c_Message_Osynth(c_Message_Osynth(V_H)),tc_Message_Omsg)| c_in(V_X,c_Message_Osynth(V_H),tc_Message_Omsg) ) ))),
% 83.47/11.11 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 83.47/11.11 fof(f1438,axiom,(
% 83.47/11.11 (![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) ) ))),
% 83.47/11.11 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 83.47/11.11 fof(f1440,axiom,(
% 83.47/11.11 (![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) ) ))),
% 83.47/11.11 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 83.47/11.11 fof(f1447,axiom,(
% 83.47/11.11 (![V_A,V_evs]: (( ~ c_in(V_A,c_Event_Obad,tc_Message_Oagent)| c_in(c_Message_Omsg_OKey(c_Public_OshrK(V_A)),c_Event_Oknows(c_Message_Oagent_OSpy,V_evs),tc_Message_Omsg) ) ))),
% 83.47/11.11 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 83.47/11.11 fof(f1472,negated_conjecture,(
% 83.47/11.11 c_in(v_X,c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_Message_Omsg) ),
% 83.47/11.11 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 83.47/11.11 fof(f1473,negated_conjecture,(
% 83.47/11.11 ( c_in(v_A,c_Event_Obad,tc_Message_Oagent)| ~ c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg) ) ),
% 83.47/11.11 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 83.47/11.11 fof(f1475,negated_conjecture,(
% 83.47/11.11 ( ~ c_in(v_A,c_Event_Obad,tc_Message_Oagent)| ~ c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_Message_Oparts(c_insert(v_X,c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf),tc_Message_Omsg)),tc_Message_Omsg) ) ),
% 83.47/11.11 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 83.47/11.11 fof(f1476,negated_conjecture,(
% 83.47/11.11 ( c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_Message_Oparts(c_insert(v_X,c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf),tc_Message_Omsg)),tc_Message_Omsg)| c_in(v_A,c_Event_Obad,tc_Message_Oagent) ) ),
% 83.47/11.11 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 83.47/11.11 fof(f1519,plain,(
% 83.47/11.11 ![V_A,T_a]: (~c_in(V_A,c_Finite__Set_OFinites,tc_set(T_a))|(![V_a]: c_in(c_insert(V_a,V_A,T_a),c_Finite__Set_OFinites,tc_set(T_a))))),
% 83.47/11.11 inference(miniscoping,[status(thm)],[f29])).
% 83.47/11.11 fof(f1520,plain,(
% 83.47/11.11 ![X0,X1,X2]: (~c_in(X0,c_Finite__Set_OFinites,tc_set(X1))|c_in(c_insert(X2,X0,X1),c_Finite__Set_OFinites,tc_set(X1)))),
% 83.47/11.11 inference(cnf_transformation,[status(thm)],[f1519])).
% 83.47/11.11 fof(f1531,plain,(
% 83.47/11.11 ![X0,X1]: (c_lessequals(c_uminus(c_IntDef_Oint(X0),tc_IntDef_Oint),c_IntDef_Oint(X1),tc_IntDef_Oint))),
% 83.47/11.11 inference(cnf_transformation,[status(thm)],[f37])).
% 83.47/11.11 fof(f1532,plain,(
% 83.47/11.11 ![X0,X1]: (c_less(c_uminus(c_IntDef_Oint(c_Suc(X0)),tc_IntDef_Oint),c_IntDef_Oint(X1),tc_IntDef_Oint))),
% 83.47/11.11 inference(cnf_transformation,[status(thm)],[f38])).
% 83.47/11.11 fof(f1543,plain,(
% 83.47/11.11 ![X0,X1,X2]: (~c_in(c_Main_Oin__listsI__1(X0,X1,X2),X0,X2)|c_in(X1,c_List_Olists(X0,X2),tc_List_Olist(X2)))),
% 83.47/11.11 inference(cnf_transformation,[status(thm)],[f48])).
% 83.47/11.11 fof(f1544,plain,(
% 83.47/11.11 ![X0,X1]: (c_lessequals(c_Nat_Osize(c_List_Oremdups(X0,X1),tc_List_Olist(X1)),c_Nat_Osize(X0,tc_List_Olist(X1)),tc_nat))),
% 83.47/11.11 inference(cnf_transformation,[status(thm)],[f49])).
% 83.47/11.11 fof(f1557,plain,(
% 83.47/11.11 ![V_x,T_a,V_A]: ((![V_l]: ~c_in(c_List_Olist_OCons(V_x,V_l,T_a),c_List_Olists(V_A,T_a),tc_List_Olist(T_a)))|c_in(V_x,V_A,T_a))),
% 83.47/11.11 inference(miniscoping,[status(thm)],[f59])).
% 83.47/11.11 fof(f1558,plain,(
% 83.47/11.11 ![X0,X1,X2,X3]: (~c_in(c_List_Olist_OCons(X0,X1,X2),c_List_Olists(X3,X2),tc_List_Olist(X2))|c_in(X0,X3,X2))),
% 83.47/11.11 inference(cnf_transformation,[status(thm)],[f1557])).
% 83.47/11.11 fof(f1563,plain,(
% 83.47/11.11 ![X0]: (c_lessequals(c_0,X0,tc_nat))),
% 83.47/11.11 inference(cnf_transformation,[status(thm)],[f64])).
% 83.47/11.11 fof(f1564,plain,(
% 83.47/11.11 ![X0]: (c_less(X0,c_Suc(X0),tc_nat))),
% 83.47/11.11 inference(cnf_transformation,[status(thm)],[f65])).
% 83.47/11.11 fof(f1566,plain,(
% 83.47/11.11 ![X0]: (c_less(c_0,c_Suc(X0),tc_nat))),
% 83.47/11.11 inference(cnf_transformation,[status(thm)],[f67])).
% 83.47/11.11 fof(f1567,plain,(
% 83.47/11.11 ![T_a]: (~class_Orderings_Oorder(T_a)|(![V_x]: c_lessequals(V_x,V_x,T_a)))),
% 83.47/11.11 inference(miniscoping,[status(thm)],[f68])).
% 83.47/11.11 fof(f1568,plain,(
% 83.47/11.11 ![X0,X1]: (~class_Orderings_Oorder(X0)|c_lessequals(X1,X1,X0))),
% 83.47/11.11 inference(cnf_transformation,[status(thm)],[f1567])).
% 83.47/11.11 fof(f1600,plain,(
% 83.47/11.11 ![X0,X1,X2]: (c_in(X0,c_Inter(X1,X2),X2)|c_in(c_Main_OInterI__1(X0,X1,X2),X1,tc_set(X2)))),
% 83.47/11.11 inference(cnf_transformation,[status(thm)],[f96])).
% 83.47/11.11 fof(f1602,plain,(
% 83.47/11.11 ![X0,X1]: (c_in(X0,c_UNIV,X1))),
% 83.47/11.11 inference(cnf_transformation,[status(thm)],[f98])).
% 83.47/11.11 fof(f1605,plain,(
% 83.47/11.11 ![X0,X1]: (c_lessequals(c_emptyset,X0,tc_set(X1)))),
% 83.47/11.11 inference(cnf_transformation,[status(thm)],[f101])).
% 83.47/11.11 fof(f1608,plain,(
% 83.47/11.11 ![V_A,V_B]: ((![T_a]: (~c_lessequals(V_A,V_B,tc_set(T_a))|c_less(V_A,V_B,tc_set(T_a))))|V_A=V_B)),
% 83.47/11.11 inference(miniscoping,[status(thm)],[f104])).
% 83.47/11.11 fof(f1609,plain,(
% 83.47/11.11 ![X0,X1,X2]: (~c_lessequals(X0,X1,tc_set(X2))|c_less(X0,X1,tc_set(X2))|X0=X1)),
% 83.47/11.11 inference(cnf_transformation,[status(thm)],[f1608])).
% 83.47/11.11 fof(f1615,plain,(
% 83.47/11.11 ![V_c,T_a,V_B]: ((![V_A]: (~c_in(V_c,V_A,T_a)|~c_lessequals(V_A,V_B,tc_set(T_a))))|c_in(V_c,V_B,T_a))),
% 83.47/11.11 inference(miniscoping,[status(thm)],[f108])).
% 83.47/11.11 fof(f1616,plain,(
% 83.47/11.11 ![X0,X1,X2,X3]: (~c_in(X0,X1,X2)|~c_lessequals(X1,X3,tc_set(X2))|c_in(X0,X3,X2))),
% 83.47/11.11 inference(cnf_transformation,[status(thm)],[f1615])).
% 83.47/11.11 fof(f1617,plain,(
% 83.47/11.11 ![X0,X1,X2]: (c_in(c_Main_OsubsetI__1(X0,X1,X2),X0,X2)|c_lessequals(X0,X1,tc_set(X2)))),
% 83.47/11.11 inference(cnf_transformation,[status(thm)],[f109])).
% 83.47/11.11 fof(f1618,plain,(
% 83.47/11.11 ![X0,X1,X2]: (~c_in(c_Main_OsubsetI__1(X0,X1,X2),X1,X2)|c_lessequals(X0,X1,tc_set(X2)))),
% 83.47/11.11 inference(cnf_transformation,[status(thm)],[f110])).
% 83.47/11.11 fof(f1619,plain,(
% 83.47/11.11 ![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)),
% 83.47/11.11 inference(miniscoping,[status(thm)],[f111])).
% 83.47/11.11 fof(f1620,plain,(
% 83.47/11.11 ![X0,X1,X2]: (~c_lessequals(X0,X1,tc_set(X2))|~c_lessequals(X1,X0,tc_set(X2))|X1=X0)),
% 83.47/11.11 inference(cnf_transformation,[status(thm)],[f1619])).
% 83.47/11.11 fof(f1621,plain,(
% 83.47/11.11 ![X0,X1]: (c_lessequals(X0,X0,tc_set(X1)))),
% 83.47/11.11 inference(cnf_transformation,[status(thm)],[f112])).
% 83.47/11.11 fof(f1673,plain,(
% 83.47/11.11 class_Orderings_Olinorder(tc_IntDef_Oint)),
% 83.47/11.11 inference(cnf_transformation,[status(thm)],[f158])).
% 83.47/11.11 fof(f1689,plain,(
% 83.47/11.11 class_Orderings_Oord(tc_IntDef_Oint)),
% 83.47/11.11 inference(cnf_transformation,[status(thm)],[f174])).
% 83.47/11.11 fof(f1726,plain,(
% 83.47/11.11 class_Orderings_Oord(tc_nat)),
% 83.47/11.11 inference(cnf_transformation,[status(thm)],[f210])).
% 83.47/11.11 fof(f1737,plain,(
% 83.47/11.11 class_Orderings_Oorder(tc_nat)),
% 83.47/11.11 inference(cnf_transformation,[status(thm)],[f221])).
% 83.47/11.11 fof(f1759,plain,(
% 83.47/11.11 class_Orderings_Olinorder(tc_nat)),
% 83.47/11.11 inference(cnf_transformation,[status(thm)],[f243])).
% 83.47/11.11 fof(f1765,plain,(
% 83.47/11.11 ![X0]: (class_Orderings_Oord(tc_set(X0)))),
% 83.47/11.11 inference(cnf_transformation,[status(thm)],[f248])).
% 83.47/11.11 fof(f1766,plain,(
% 83.47/11.11 ![X0]: (class_Orderings_Oorder(tc_set(X0)))),
% 83.47/11.11 inference(cnf_transformation,[status(thm)],[f249])).
% 83.47/11.11 fof(f2784,plain,(
% 83.47/11.11 ![V_xs]: ((![T_a]: c_less(c_0,c_Nat_Osize(V_xs,tc_List_Olist(T_a)),tc_nat))|V_xs=c_List_Olist_ONil)),
% 83.47/11.11 inference(miniscoping,[status(thm)],[f1235])).
% 83.47/11.11 fof(f2785,plain,(
% 83.47/11.11 ![X0,X1]: (c_less(c_0,c_Nat_Osize(X0,tc_List_Olist(X1)),tc_nat)|X0=c_List_Olist_ONil)),
% 83.47/11.11 inference(cnf_transformation,[status(thm)],[f2784])).
% 83.47/11.11 fof(f2809,plain,(
% 83.47/11.11 ![V_xs]: ((![T_a]: ~c_emptyset=c_List_Oset(V_xs,T_a))|V_xs=c_List_Olist_ONil)),
% 83.47/11.11 inference(miniscoping,[status(thm)],[f1252])).
% 83.47/11.11 fof(f2810,plain,(
% 83.47/11.11 ![X0,X1]: (~c_emptyset=c_List_Oset(X0,X1)|X0=c_List_Olist_ONil)),
% 83.47/11.11 inference(cnf_transformation,[status(thm)],[f2809])).
% 83.47/11.11 fof(f2811,plain,(
% 83.47/11.11 ![X0]: (c_emptyset=c_List_Oset(c_List_Olist_ONil,X0))),
% 83.47/11.11 inference(cnf_transformation,[status(thm)],[f1253])).
% 83.47/11.11 fof(f2816,plain,(
% 83.47/11.11 ![X0,X1]: (~c_lessequals(c_Suc(X0),c_Suc(X1),tc_nat)|c_lessequals(X0,X1,tc_nat))),
% 83.47/11.11 inference(cnf_transformation,[status(thm)],[f1257])).
% 83.47/11.11 fof(f2817,plain,(
% 83.47/11.11 ![X0,X1]: (~c_lessequals(X0,X1,tc_nat)|c_lessequals(c_Suc(X0),c_Suc(X1),tc_nat))),
% 83.47/11.11 inference(cnf_transformation,[status(thm)],[f1258])).
% 83.47/11.11 fof(f2819,plain,(
% 83.47/11.11 ![X0,X1]: (~c_less(X0,X1,tc_nat)|c_less(c_Suc(X0),c_Suc(X1),tc_nat))),
% 83.47/11.11 inference(cnf_transformation,[status(thm)],[f1260])).
% 83.47/11.11 fof(f2824,plain,(
% 83.47/11.11 ![V_m]: (~c_less(c_0,V_m,tc_nat)|(![V_n]: c_less(c_0,c_plus(V_m,V_n,tc_nat),tc_nat)))),
% 83.47/11.11 inference(miniscoping,[status(thm)],[f1264])).
% 83.47/11.11 fof(f2825,plain,(
% 83.47/11.11 ![X0,X1]: (~c_less(c_0,X0,tc_nat)|c_less(c_0,c_plus(X0,X1,tc_nat),tc_nat))),
% 83.47/11.11 inference(cnf_transformation,[status(thm)],[f2824])).
% 83.47/11.11 fof(f2826,plain,(
% 83.47/11.11 ![V_n]: (~c_less(c_0,V_n,tc_nat)|(![V_m]: c_less(c_0,c_plus(V_m,V_n,tc_nat),tc_nat)))),
% 83.47/11.11 inference(miniscoping,[status(thm)],[f1265])).
% 83.47/11.11 fof(f2827,plain,(
% 83.47/11.11 ![X0,X1]: (~c_less(c_0,X0,tc_nat)|c_less(c_0,c_plus(X1,X0,tc_nat),tc_nat))),
% 83.47/11.11 inference(cnf_transformation,[status(thm)],[f2826])).
% 83.47/11.11 fof(f2833,plain,(
% 83.47/11.11 ![X0]: (~c_lessequals(X0,c_0,tc_nat)|X0=c_0)),
% 83.47/11.11 inference(cnf_transformation,[status(thm)],[f1269])).
% 83.47/11.11 fof(f2838,plain,(
% 83.47/11.11 c_less(c_0,c_1,tc_nat)),
% 83.47/11.11 inference(cnf_transformation,[status(thm)],[f1274])).
% 83.47/11.11 fof(f2839,plain,(
% 83.47/11.11 ![X0]: (c_less(c_0,X0,tc_nat)|X0=c_0)),
% 83.47/11.11 inference(cnf_transformation,[status(thm)],[f1275])).
% 83.47/11.11 fof(f2846,plain,(
% 83.47/11.11 ![T_a]: (~class_Orderings_Oorder(T_a)|(![V_x]: ~c_less(V_x,V_x,T_a)))),
% 83.47/11.11 inference(miniscoping,[status(thm)],[f1282])).
% 83.47/11.11 fof(f2847,plain,(
% 83.47/11.11 ![X0,X1]: (~class_Orderings_Oorder(X0)|~c_less(X1,X1,X0))),
% 83.47/11.11 inference(cnf_transformation,[status(thm)],[f2846])).
% 83.47/11.11 fof(f2859,plain,(
% 83.47/11.11 ![V_x,V_y]: ((![T_a]: (~class_Orderings_Olinorder(T_a)|~c_SetInterval_OatLeast(V_x,T_a)=c_SetInterval_OatLeast(V_y,T_a)))|V_x=V_y)),
% 83.47/11.11 inference(miniscoping,[status(thm)],[f1291])).
% 83.47/11.11 fof(f2860,plain,(
% 83.47/11.11 ![X0,X1,X2]: (~class_Orderings_Olinorder(X0)|~c_SetInterval_OatLeast(X1,X0)=c_SetInterval_OatLeast(X2,X0)|X1=X2)),
% 83.47/11.11 inference(cnf_transformation,[status(thm)],[f2859])).
% 83.47/11.11 fof(f2861,plain,(
% 83.47/11.11 ![X0,X1,X2]: (~class_Orderings_Oord(X0)|~c_in(X1,c_SetInterval_OatLeast(X2,X0),X0)|c_lessequals(X2,X1,X0))),
% 83.47/11.11 inference(cnf_transformation,[status(thm)],[f1292])).
% 83.47/11.11 fof(f2862,plain,(
% 83.47/11.11 ![X0,X1,X2]: (~class_Orderings_Oord(X0)|~c_lessequals(X1,X2,X0)|c_in(X2,c_SetInterval_OatLeast(X1,X0),X0))),
% 83.47/11.11 inference(cnf_transformation,[status(thm)],[f1293])).
% 83.47/11.11 fof(f2863,plain,(
% 83.47/11.11 ![X0,X1,X2]: (~class_Orderings_Oorder(X0)|~c_lessequals(c_SetInterval_OatLeast(X1,X0),c_SetInterval_OatLeast(X2,X0),tc_set(X0))|c_lessequals(X2,X1,X0))),
% 83.47/11.11 inference(cnf_transformation,[status(thm)],[f1294])).
% 83.47/11.11 fof(f2864,plain,(
% 83.47/11.11 ![X0,X1,X2]: (~class_Orderings_Oorder(X0)|~c_lessequals(X1,X2,X0)|c_lessequals(c_SetInterval_OatLeast(X2,X0),c_SetInterval_OatLeast(X1,X0),tc_set(X0)))),
% 83.47/11.11 inference(cnf_transformation,[status(thm)],[f1295])).
% 83.47/11.11 fof(f2867,plain,(
% 83.47/11.11 ![X0,X1,X2]: (~class_Orderings_Oord(X0)|~c_in(X1,c_SetInterval_OatMost(X2,X0),X0)|c_lessequals(X1,X2,X0))),
% 83.47/11.11 inference(cnf_transformation,[status(thm)],[f1297])).
% 83.47/11.11 fof(f2868,plain,(
% 83.47/11.11 ![X0,X1,X2]: (~class_Orderings_Oord(X0)|~c_lessequals(X1,X2,X0)|c_in(X1,c_SetInterval_OatMost(X2,X0),X0))),
% 83.47/11.11 inference(cnf_transformation,[status(thm)],[f1298])).
% 83.47/11.12 fof(f2873,plain,(
% 83.47/11.12 ![X0,X1,X2]: (~class_Orderings_Oord(X0)|~c_in(X1,c_SetInterval_OgreaterThan(X2,X0),X0)|c_less(X2,X1,X0))),
% 83.47/11.12 inference(cnf_transformation,[status(thm)],[f1302])).
% 83.47/11.12 fof(f2874,plain,(
% 83.47/11.12 ![X0,X1,X2]: (~class_Orderings_Oord(X0)|~c_less(X1,X2,X0)|c_in(X2,c_SetInterval_OgreaterThan(X1,X0),X0))),
% 83.47/11.12 inference(cnf_transformation,[status(thm)],[f1303])).
% 83.47/11.12 fof(f2875,plain,(
% 83.47/11.12 ![X0,X1,X2]: (~class_Orderings_Olinorder(X0)|~c_lessequals(c_SetInterval_OgreaterThan(X1,X0),c_SetInterval_OgreaterThan(X2,X0),tc_set(X0))|c_lessequals(X2,X1,X0))),
% 83.47/11.12 inference(cnf_transformation,[status(thm)],[f1304])).
% 83.47/11.12 fof(f2880,plain,(
% 83.47/11.12 ![X0,X1,X2]: (~class_Orderings_Oord(X0)|~c_less(X1,X2,X0)|c_in(X1,c_SetInterval_OlessThan(X2,X0),X0))),
% 83.47/11.12 inference(cnf_transformation,[status(thm)],[f1308])).
% 83.47/11.12 fof(f2908,plain,(
% 83.47/11.12 ![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))),
% 83.47/11.12 inference(miniscoping,[status(thm)],[f1328])).
% 83.47/11.12 fof(f2909,plain,(
% 83.47/11.12 ![X0,X1,X2,X3]: (~c_in(X0,c_union(X1,X2,X3),X3)|c_in(X0,X2,X3)|c_in(X0,X1,X3))),
% 83.47/11.12 inference(cnf_transformation,[status(thm)],[f2908])).
% 83.47/11.12 fof(f2917,plain,(
% 83.47/11.12 ![X0,X1]: (~c_in(X0,c_emptyset,X1))),
% 83.47/11.12 inference(cnf_transformation,[status(thm)],[f1333])).
% 83.47/11.12 fof(f2918,plain,(
% 83.47/11.12 ![V_a,V_B,T_a]: (~c_in(V_a,V_B,T_a)|(![V_b]: c_in(V_a,c_insert(V_b,V_B,T_a),T_a)))),
% 83.47/11.12 inference(miniscoping,[status(thm)],[f1334])).
% 83.47/11.12 fof(f2919,plain,(
% 83.47/11.12 ![X0,X1,X2,X3]: (~c_in(X0,X1,X2)|c_in(X0,c_insert(X3,X1,X2),X2))),
% 83.47/11.12 inference(cnf_transformation,[status(thm)],[f2918])).
% 83.47/11.12 fof(f2921,plain,(
% 83.47/11.12 ![V_a,V_b]: ((![V_A,T_a]: (~c_in(V_a,c_insert(V_b,V_A,T_a),T_a)|c_in(V_a,V_A,T_a)))|V_a=V_b)),
% 83.47/11.12 inference(miniscoping,[status(thm)],[f1336])).
% 83.47/11.12 fof(f2922,plain,(
% 83.47/11.12 ![X0,X1,X2,X3]: (~c_in(X0,c_insert(X1,X2,X3),X3)|c_in(X0,X2,X3)|X0=X1)),
% 83.47/11.12 inference(cnf_transformation,[status(thm)],[f2921])).
% 83.47/11.12 fof(f3000,plain,(
% 83.47/11.12 ![X0,X1]: (~c_in(c_Message_Omsg_OKey(X0),c_Message_Osynth(X1),tc_Message_Omsg)|c_in(c_Message_Omsg_OKey(X0),X1,tc_Message_Omsg))),
% 83.47/11.12 inference(cnf_transformation,[status(thm)],[f1394])).
% 83.47/11.12 fof(f3001,plain,(
% 83.47/11.12 ![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))),
% 83.47/11.12 inference(miniscoping,[status(thm)],[f1395])).
% 83.47/11.12 fof(f3002,plain,(
% 83.47/11.12 ![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))),
% 83.47/11.12 inference(cnf_transformation,[status(thm)],[f3001])).
% 83.47/11.12 fof(f3003,plain,(
% 83.47/11.12 ![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))),
% 83.47/11.12 inference(miniscoping,[status(thm)],[f1396])).
% 83.47/11.12 fof(f3004,plain,(
% 83.47/11.12 ![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))),
% 83.47/11.12 inference(cnf_transformation,[status(thm)],[f3003])).
% 83.47/11.12 fof(f3010,plain,(
% 83.47/11.12 ![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))),
% 83.47/11.12 inference(miniscoping,[status(thm)],[f1400])).
% 83.47/11.12 fof(f3011,plain,(
% 83.47/11.12 ![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))),
% 83.47/11.12 inference(cnf_transformation,[status(thm)],[f3010])).
% 83.47/11.12 fof(f3012,plain,(
% 83.47/11.12 ![V_X,V_H]: ((![V_Y]: ~c_in(c_Message_Omsg_OMPair(V_X,V_Y),c_Message_Oparts(V_H),tc_Message_Omsg))|c_in(V_X,c_Message_Oparts(V_H),tc_Message_Omsg))),
% 83.47/11.12 inference(miniscoping,[status(thm)],[f1401])).
% 83.47/11.12 fof(f3013,plain,(
% 83.47/11.12 ![X0,X1,X2]: (~c_in(c_Message_Omsg_OMPair(X0,X1),c_Message_Oparts(X2),tc_Message_Omsg)|c_in(X0,c_Message_Oparts(X2),tc_Message_Omsg))),
% 83.47/11.12 inference(cnf_transformation,[status(thm)],[f3012])).
% 83.47/11.12 fof(f3016,plain,(
% 83.47/11.12 ![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))),
% 83.47/11.12 inference(miniscoping,[status(thm)],[f1404])).
% 83.47/11.12 fof(f3017,plain,(
% 83.47/11.12 ![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))),
% 83.47/11.12 inference(cnf_transformation,[status(thm)],[f3016])).
% 83.47/11.12 fof(f3018,plain,(
% 83.47/11.12 ![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))),
% 83.47/11.12 inference(miniscoping,[status(thm)],[f1405])).
% 83.47/11.12 fof(f3019,plain,(
% 83.47/11.12 ![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))),
% 83.47/11.12 inference(cnf_transformation,[status(thm)],[f3018])).
% 83.47/11.12 fof(f3020,plain,(
% 83.47/11.12 ![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))),
% 83.47/11.12 inference(cnf_transformation,[status(thm)],[f1406])).
% 83.47/11.12 fof(f3029,plain,(
% 83.47/11.12 ![X0,X1]: (~c_in(X0,X1,tc_Message_Omsg)|c_in(X0,c_Message_Oanalz(X1),tc_Message_Omsg))),
% 83.47/11.12 inference(cnf_transformation,[status(thm)],[f1415])).
% 83.47/11.12 fof(f3030,plain,(
% 83.47/11.12 ![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))),
% 83.47/11.12 inference(cnf_transformation,[status(thm)],[f1416])).
% 83.47/11.12 fof(f3046,plain,(
% 83.47/11.12 ![X0,X1]: (~c_in(X0,X1,tc_Message_Omsg)|c_in(X0,c_Message_Oparts(X1),tc_Message_Omsg))),
% 83.47/11.12 inference(cnf_transformation,[status(thm)],[f1427])).
% 83.47/11.12 fof(f3047,plain,(
% 83.47/11.12 ![X0]: (~c_in(X0,c_Message_Oparts(c_emptyset),tc_Message_Omsg))),
% 83.47/11.12 inference(cnf_transformation,[status(thm)],[f1428])).
% 83.47/11.12 fof(f3048,plain,(
% 83.47/11.12 ![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))),
% 83.47/11.12 inference(cnf_transformation,[status(thm)],[f1429])).
% 83.47/11.12 fof(f3052,plain,(
% 83.47/11.12 ![X0,X1]: (~c_in(X0,X1,tc_Message_Omsg)|c_in(X0,c_Message_Osynth(X1),tc_Message_Omsg))),
% 83.47/11.12 inference(cnf_transformation,[status(thm)],[f1433])).
% 83.47/11.12 fof(f3055,plain,(
% 83.47/11.12 ![X0,X1]: (~c_in(X0,c_Message_Osynth(c_Message_Osynth(X1)),tc_Message_Omsg)|c_in(X0,c_Message_Osynth(X1),tc_Message_Omsg))),
% 83.47/11.12 inference(cnf_transformation,[status(thm)],[f1436])).
% 83.47/11.12 fof(f3058,plain,(
% 83.47/11.12 ![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))),
% 83.47/11.12 inference(miniscoping,[status(thm)],[f1438])).
% 83.47/11.12 fof(f3059,plain,(
% 83.47/11.12 ![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))),
% 83.47/11.12 inference(cnf_transformation,[status(thm)],[f3058])).
% 83.47/11.12 fof(f3062,plain,(
% 83.47/11.12 ![X0,X1]: (~c_in(X0,c_Message_Oanalz(X1),tc_Message_Omsg)|c_in(X0,c_Message_Oparts(X1),tc_Message_Omsg))),
% 83.47/11.12 inference(cnf_transformation,[status(thm)],[f1440])).
% 83.47/11.12 fof(f3073,plain,(
% 83.47/11.12 ![V_A]: (~c_in(V_A,c_Event_Obad,tc_Message_Oagent)|(![V_evs]: c_in(c_Message_Omsg_OKey(c_Public_OshrK(V_A)),c_Event_Oknows(c_Message_Oagent_OSpy,V_evs),tc_Message_Omsg)))),
% 83.47/11.12 inference(miniscoping,[status(thm)],[f1447])).
% 83.47/11.12 fof(f3074,plain,(
% 83.47/11.12 ![X0,X1]: (~c_in(X0,c_Event_Obad,tc_Message_Oagent)|c_in(c_Message_Omsg_OKey(c_Public_OshrK(X0)),c_Event_Oknows(c_Message_Oagent_OSpy,X1),tc_Message_Omsg))),
% 83.47/11.12 inference(cnf_transformation,[status(thm)],[f3073])).
% 83.47/11.12 fof(f3101,plain,(
% 83.47/11.12 c_in(v_X,c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_Message_Omsg)),
% 83.47/11.12 inference(cnf_transformation,[status(thm)],[f1472])).
% 83.47/11.12 fof(f3102,plain,(
% 83.47/11.12 c_in(v_A,c_Event_Obad,tc_Message_Oagent)|~c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg)),
% 83.47/11.12 inference(cnf_transformation,[status(thm)],[f1473])).
% 83.47/11.12 fof(f3104,plain,(
% 83.47/11.12 ~c_in(v_A,c_Event_Obad,tc_Message_Oagent)|~c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_Message_Oparts(c_insert(v_X,c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf),tc_Message_Omsg)),tc_Message_Omsg)),
% 83.47/11.12 inference(cnf_transformation,[status(thm)],[f1475])).
% 83.47/11.12 fof(f3105,plain,(
% 83.47/11.12 c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_Message_Oparts(c_insert(v_X,c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf),tc_Message_Omsg)),tc_Message_Omsg)|c_in(v_A,c_Event_Obad,tc_Message_Oagent)),
% 83.47/11.12 inference(cnf_transformation,[status(thm)],[f1476])).
% 83.47/11.12 fof(f3106,definition,(
% 83.47/11.12 sQ0_spl <=> (c_in(v_A,c_Event_Obad,tc_Message_Oagent))),
% 83.47/11.12 introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 83.47/11.12 fof(f3109,definition,(
% 83.47/11.12 sQ1_spl <=> (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))),
% 83.47/11.12 introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 83.47/11.12 fof(f3112,plain,(
% 83.47/11.12 sQ0_spl|~sQ1_spl),
% 83.47/11.12 inference(split_clause,[status(thm)],[f3102,f3106,f3109])).
% 83.47/11.12 fof(f3114,definition,(
% 83.47/11.12 sQ2_spl <=> (c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_Message_Oparts(c_insert(v_X,c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf),tc_Message_Omsg)),tc_Message_Omsg))),
% 83.47/11.12 introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition])).
% 83.47/11.12 fof(f3115,plain,(
% 83.47/11.12 c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_Message_Oparts(c_insert(v_X,c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf),tc_Message_Omsg)),tc_Message_Omsg)|~sQ2_spl),
% 83.47/11.12 inference(component_clause,[status(thm)],[f3114])).
% 83.47/11.12 fof(f3116,plain,(
% 83.47/11.12 ~c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_Message_Oparts(c_insert(v_X,c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf),tc_Message_Omsg)),tc_Message_Omsg)|sQ2_spl),
% 83.47/11.12 inference(component_clause,[status(thm)],[f3114])).
% 83.47/11.12 fof(f3117,plain,(
% 83.47/11.12 ~sQ0_spl|~sQ2_spl),
% 83.47/11.12 inference(split_clause,[status(thm)],[f3104,f3106,f3114])).
% 83.47/11.12 fof(f3118,plain,(
% 83.47/11.12 sQ2_spl|sQ0_spl),
% 83.47/11.12 inference(split_clause,[status(thm)],[f3105,f3114,f3106])).
% 83.47/11.12 fof(f3127,plain,(
% 83.47/11.12 ![X0]: (~c_in(X0,c_emptyset,tc_Message_Omsg))),
% 83.47/11.12 inference(resolution,[status(thm)],[f3046,f3047])).
% 83.47/11.12 fof(f3139,plain,(
% 83.47/11.12 ![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))),
% 83.47/11.12 inference(resolution,[status(thm)],[f3002,f3029])).
% 83.47/11.12 fof(f3140,plain,(
% 83.47/11.12 ![X0,X1,X2]: (c_in(X0,c_Message_Oanalz(X1),tc_Message_Omsg)|~c_in(c_Message_Omsg_OMPair(X0,X2),X1,tc_Message_Omsg))),
% 83.47/11.12 inference(resolution,[status(thm)],[f3004,f3029])).
% 83.47/11.12 fof(f3141,plain,(
% 83.47/11.12 ![X0,X1,X2]: (c_in(X0,c_Message_Oanalz(c_Message_Osynth(X1)),tc_Message_Omsg)|~c_in(c_Message_Omsg_OMPair(X2,X0),X1,tc_Message_Omsg))),
% 83.47/11.12 inference(resolution,[status(thm)],[f3139,f3052])).
% 83.47/11.12 fof(f3143,plain,(
% 83.47/11.12 ![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))),
% 83.47/11.12 inference(resolution,[status(thm)],[f3139,f3029])).
% 83.47/11.12 fof(f3151,plain,(
% 83.47/11.12 ![X0,X1,X2]: (c_in(X0,c_Message_Oanalz(c_Message_Osynth(X1)),tc_Message_Omsg)|~c_in(c_Message_Omsg_OMPair(X0,X2),X1,tc_Message_Omsg))),
% 83.47/11.12 inference(resolution,[status(thm)],[f3140,f3052])).
% 83.47/11.12 fof(f3153,plain,(
% 83.47/11.12 ![X0,X1,X2]: (c_in(X0,c_Message_Oanalz(c_Message_Oparts(X1)),tc_Message_Omsg)|~c_in(c_Message_Omsg_OMPair(X0,X2),X1,tc_Message_Omsg))),
% 83.47/11.12 inference(resolution,[status(thm)],[f3140,f3046])).
% 83.47/11.12 fof(f3155,plain,(
% 83.47/11.12 ![X0,X1,X2]: (c_in(X0,c_Message_Oanalz(c_Message_Oanalz(X1)),tc_Message_Omsg)|~c_in(c_Message_Omsg_OMPair(X0,X2),X1,tc_Message_Omsg))),
% 83.47/11.12 inference(resolution,[status(thm)],[f3140,f3029])).
% 83.47/11.12 fof(f3167,plain,(
% 83.47/11.12 ![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))),
% 83.47/11.12 inference(resolution,[status(thm)],[f3011,f3046])).
% 83.47/11.12 fof(f3170,plain,(
% 83.47/11.12 ![X0,X1,X2]: (c_in(X0,c_Message_Oparts(X1),tc_Message_Omsg)|~c_in(c_Message_Omsg_OMPair(X0,X2),X1,tc_Message_Omsg))),
% 83.47/11.12 inference(resolution,[status(thm)],[f3013,f3046])).
% 83.47/11.12 fof(f3175,plain,(
% 83.47/11.12 ![X0,X1,X2]: (c_in(X0,c_Message_Oparts(c_Message_Osynth(X1)),tc_Message_Omsg)|~c_in(c_Message_Omsg_OMPair(X2,X0),X1,tc_Message_Omsg))),
% 83.47/11.12 inference(resolution,[status(thm)],[f3167,f3052])).
% 83.47/11.12 fof(f3178,plain,(
% 83.47/11.12 ![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))),
% 83.47/11.12 inference(resolution,[status(thm)],[f3167,f3046])).
% 83.47/11.12 fof(f3181,plain,(
% 83.47/11.12 ![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))),
% 83.47/11.12 inference(resolution,[status(thm)],[f3167,f3029])).
% 83.47/11.12 fof(f3184,plain,(
% 83.47/11.12 ![X0,X1,X2]: (c_in(X0,c_Message_Oparts(c_Message_Osynth(X1)),tc_Message_Omsg)|~c_in(c_Message_Omsg_OMPair(X0,X2),X1,tc_Message_Omsg))),
% 83.47/11.12 inference(resolution,[status(thm)],[f3170,f3052])).
% 83.47/11.12 fof(f3187,plain,(
% 83.47/11.12 ![X0,X1,X2]: (c_in(X0,c_Message_Oparts(c_Message_Oparts(X1)),tc_Message_Omsg)|~c_in(c_Message_Omsg_OMPair(X0,X2),X1,tc_Message_Omsg))),
% 83.47/11.12 inference(resolution,[status(thm)],[f3170,f3046])).
% 83.47/11.12 fof(f3190,plain,(
% 83.47/11.12 ![X0,X1,X2]: (c_in(X0,c_Message_Oparts(c_Message_Oanalz(X1)),tc_Message_Omsg)|~c_in(c_Message_Omsg_OMPair(X0,X2),X1,tc_Message_Omsg))),
% 83.47/11.12 inference(resolution,[status(thm)],[f3170,f3029])).
% 83.47/11.12 fof(f3202,plain,(
% 83.47/11.12 ![X0,X1,X2]: (c_in(X0,c_Message_Osynth(c_Message_Oanalz(X1)),tc_Message_Omsg)|~c_in(c_Message_Omsg_OMPair(X0,X2),c_Message_Oanalz(X1),tc_Message_Omsg))),
% 83.47/11.12 inference(resolution,[status(thm)],[f3017,f3052])).
% 83.47/11.12 fof(f3260,plain,(
% 83.47/11.12 ![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))),
% 83.47/11.12 inference(resolution,[status(thm)],[f3019,f3052])).
% 83.47/11.12 fof(f3261,plain,(
% 83.47/11.12 ![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))),
% 83.47/11.12 inference(resolution,[status(thm)],[f3020,f3101])).
% 83.47/11.12 fof(f3263,plain,(
% 83.47/11.12 c_in(c_Message_Omsg_OMPair(v_X,v_X),c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_Message_Omsg)),
% 83.47/11.12 inference(resolution,[status(thm)],[f3261,f3101])).
% 83.47/11.12 fof(f3275,plain,(
% 83.47/11.12 ![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(c_Message_Omsg_OMPair(v_X,v_X),X0),c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_Message_Omsg))),
% 83.47/11.12 inference(resolution,[status(thm)],[f3263,f3020])).
% 83.47/11.12 fof(f3962,plain,(
% 83.47/11.12 ![X0,X1,X2]: (c_in(X0,c_Message_Osynth(c_Message_Oanalz(X1)),tc_Message_Omsg)|~c_in(c_Message_Omsg_OMPair(X0,X2),X1,tc_Message_Omsg))),
% 83.47/11.12 inference(resolution,[status(thm)],[f3202,f3029])).
% 83.47/11.12 fof(f3981,plain,(
% 83.47/11.12 ![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))),
% 83.47/11.12 inference(resolution,[status(thm)],[f3260,f3029])).
% 83.47/11.12 fof(f4791,plain,(
% 83.47/11.12 ![X0]: (c_in(X0,c_Message_Oparts(c_UNIV),tc_Message_Omsg))),
% 83.47/11.12 inference(resolution,[status(thm)],[f1602,f3170])).
% 83.47/11.12 fof(f4793,plain,(
% 83.47/11.12 ![X0]: (c_in(X0,c_Message_Oanalz(c_UNIV),tc_Message_Omsg))),
% 83.47/11.12 inference(resolution,[status(thm)],[f1602,f3140])).
% 83.47/11.12 fof(f4809,plain,(
% 83.47/11.12 ![X0,X1]: (c_in(X0,c_List_Olists(c_Message_Osynth(X1),tc_Message_Omsg),tc_List_Olist(tc_Message_Omsg))|~c_in(c_Main_Oin__listsI__1(c_Message_Osynth(X1),X0,tc_Message_Omsg),X1,tc_Message_Omsg))),
% 83.47/11.12 inference(resolution,[status(thm)],[f1543,f3052])).
% 83.47/11.12 fof(f4917,plain,(
% 83.47/11.12 ![X0]: (c_in(X0,c_List_Olists(c_Message_Osynth(c_UNIV),tc_Message_Omsg),tc_List_Olist(tc_Message_Omsg)))),
% 83.47/11.12 inference(resolution,[status(thm)],[f4809,f1602])).
% 83.47/11.12 fof(f7181,plain,(
% 83.47/11.12 ![X0]: (c_in(X0,c_Message_Osynth(c_UNIV),tc_Message_Omsg))),
% 83.47/11.12 inference(resolution,[status(thm)],[f4917,f1558])).
% 83.47/11.12 fof(f7451,plain,(
% 83.47/11.12 ![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))),
% 83.47/11.12 inference(resolution,[status(thm)],[f1617,f3261])).
% 83.47/11.12 fof(f7454,plain,(
% 83.47/11.12 ![X0,X1]: (c_lessequals(c_Message_Osynth(c_Message_Osynth(X0)),X1,tc_set(tc_Message_Omsg))|c_in(c_Main_OsubsetI__1(c_Message_Osynth(c_Message_Osynth(X0)),X1,tc_Message_Omsg),c_Message_Osynth(X0),tc_Message_Omsg))),
% 83.47/11.12 inference(resolution,[status(thm)],[f1617,f3055])).
% 83.47/11.12 fof(f7464,plain,(
% 83.47/11.12 ![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))),
% 83.47/11.12 inference(resolution,[status(thm)],[f1617,f3030])).
% 83.47/11.12 fof(f7465,plain,(
% 83.47/11.12 ![X0,X1]: (c_lessequals(c_Message_Oanalz(X0),X1,tc_set(tc_Message_Omsg))|c_in(c_Main_OsubsetI__1(c_Message_Oanalz(X0),X1,tc_Message_Omsg),c_Message_Oparts(X0),tc_Message_Omsg))),
% 83.47/11.12 inference(resolution,[status(thm)],[f1617,f3062])).
% 83.47/11.12 fof(f7472,plain,(
% 83.47/11.12 ![X0,X1,X2,X3]: (c_lessequals(c_insert(X0,X1,X2),X3,tc_set(X2))|c_in(c_Main_OsubsetI__1(c_insert(X0,X1,X2),X3,X2),X1,X2)|c_Main_OsubsetI__1(c_insert(X0,X1,X2),X3,X2)=X0)),
% 83.47/11.12 inference(resolution,[status(thm)],[f1617,f2922])).
% 83.47/11.12 fof(f7473,plain,(
% 83.47/11.12 ![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))),
% 83.47/11.12 inference(resolution,[status(thm)],[f1617,f3048])).
% 83.47/11.12 fof(f7474,plain,(
% 83.47/11.12 ![X0]: (c_lessequals(c_Message_Oparts(c_emptyset),X0,tc_set(tc_Message_Omsg)))),
% 83.47/11.12 inference(resolution,[status(thm)],[f1617,f3047])).
% 83.47/11.12 fof(f7480,plain,(
% 83.47/11.12 ![X0,X1]: (c_lessequals(X0,c_UNIV,tc_set(X1)))),
% 83.47/11.12 inference(resolution,[status(thm)],[f1618,f1602])).
% 83.47/11.12 fof(f7481,plain,(
% 83.47/11.12 ![X0]: (c_lessequals(X0,c_Message_Osynth(c_UNIV),tc_set(tc_Message_Omsg)))),
% 83.47/11.12 inference(resolution,[status(thm)],[f1618,f7181])).
% 83.47/11.12 fof(f7488,plain,(
% 83.47/11.12 ![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))),
% 83.47/11.12 inference(resolution,[status(thm)],[f1618,f3052])).
% 83.47/11.12 fof(f7489,plain,(
% 83.47/11.12 ![X0]: (c_lessequals(X0,c_Message_Oparts(c_UNIV),tc_set(tc_Message_Omsg)))),
% 83.47/11.12 inference(resolution,[status(thm)],[f1618,f4791])).
% 83.47/11.12 fof(f7507,plain,(
% 83.47/11.12 ![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))),
% 83.47/11.12 inference(resolution,[status(thm)],[f1618,f3046])).
% 83.47/11.12 fof(f7508,plain,(
% 83.47/11.12 ![X0]: (c_lessequals(X0,c_Message_Oanalz(c_UNIV),tc_set(tc_Message_Omsg)))),
% 83.47/11.12 inference(resolution,[status(thm)],[f1618,f4793])).
% 83.47/11.12 fof(f7532,plain,(
% 83.47/11.12 ![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))),
% 83.47/11.12 inference(resolution,[status(thm)],[f1618,f3029])).
% 83.47/11.12 fof(f7534,plain,(
% 83.47/11.12 ![X0,X1,X2,X3]: (c_lessequals(X0,c_insert(X1,X2,X3),tc_set(X3))|~c_in(c_Main_OsubsetI__1(X0,c_insert(X1,X2,X3),X3),X2,X3))),
% 83.47/11.12 inference(resolution,[status(thm)],[f1618,f2919])).
% 83.47/11.12 fof(f7540,plain,(
% 83.47/11.12 ![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(v_X,c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_Message_Omsg))),
% 83.47/11.12 inference(resolution,[status(thm)],[f7451,f3017])).
% 83.47/11.12 fof(f7541,plain,(
% 83.47/11.12 ![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))),
% 83.47/11.12 inference(resolution,[status(thm)],[f7451,f3981])).
% 83.47/11.12 fof(f7542,plain,(
% 83.47/11.12 ![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(v_X,c_Message_Osynth(c_Message_Oanalz(c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))))),tc_Message_Omsg))),
% 83.47/11.12 inference(resolution,[status(thm)],[f7451,f3962])).
% 83.47/11.12 fof(f7543,plain,(
% 83.47/11.12 ![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(v_X,c_Message_Oparts(c_Message_Oanalz(c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))))),tc_Message_Omsg))),
% 83.47/11.12 inference(resolution,[status(thm)],[f7451,f3190])).
% 83.47/11.12 fof(f7544,plain,(
% 83.47/11.12 ![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(v_X,c_Message_Oparts(c_Message_Oparts(c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))))),tc_Message_Omsg))),
% 83.47/11.12 inference(resolution,[status(thm)],[f7451,f3187])).
% 83.47/11.12 fof(f7545,plain,(
% 83.47/11.12 ![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(v_X,c_Message_Oparts(c_Message_Osynth(c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))))),tc_Message_Omsg))),
% 83.47/11.12 inference(resolution,[status(thm)],[f7451,f3184])).
% 83.47/11.12 fof(f7546,plain,(
% 83.47/11.12 ![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))),
% 83.47/11.12 inference(resolution,[status(thm)],[f7451,f3181])).
% 83.47/11.12 fof(f7547,plain,(
% 83.47/11.12 ![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))),
% 83.47/11.12 inference(resolution,[status(thm)],[f7451,f3178])).
% 83.47/11.12 fof(f7549,plain,(
% 83.47/11.12 ![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(v_X,c_Message_Oanalz(c_Message_Oanalz(c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))))),tc_Message_Omsg))),
% 83.47/11.12 inference(resolution,[status(thm)],[f7451,f3155])).
% 83.47/11.12 fof(f7550,plain,(
% 83.47/11.12 ![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(v_X,c_Message_Oanalz(c_Message_Oparts(c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))))),tc_Message_Omsg))),
% 83.47/11.12 inference(resolution,[status(thm)],[f7451,f3153])).
% 83.47/11.12 fof(f7551,plain,(
% 83.47/11.12 ![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(v_X,c_Message_Oanalz(c_Message_Osynth(c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))))),tc_Message_Omsg))),
% 83.47/11.12 inference(resolution,[status(thm)],[f7451,f3151])).
% 83.47/11.12 fof(f7552,plain,(
% 83.47/11.12 ![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))),
% 83.47/11.12 inference(resolution,[status(thm)],[f7451,f3143])).
% 83.47/11.12 fof(f7555,plain,(
% 83.47/11.12 ![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(v_X,c_Message_Oparts(c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)))),tc_Message_Omsg))),
% 83.47/11.12 inference(resolution,[status(thm)],[f7451,f3170])).
% 83.47/11.12 fof(f7557,plain,(
% 83.47/11.12 ![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(v_X,c_Message_Oanalz(c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)))),tc_Message_Omsg))),
% 83.47/11.12 inference(resolution,[status(thm)],[f7451,f3140])).
% 83.47/11.12 fof(f7564,plain,(
% 83.47/11.12 ![X0,X1]: (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(X1,c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_Message_Omsg)|c_in(c_Message_Omsg_OMPair(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)),X1),c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_Message_Omsg))),
% 83.47/11.12 inference(resolution,[status(thm)],[f7451,f3020])).
% 83.47/11.12 fof(f7565,definition,(
% 83.47/11.12 ![X0]: (sQ3_spl <=> (c_lessequals(c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),X0,tc_set(tc_Message_Omsg))))),
% 83.47/11.12 introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition])).
% 83.47/11.12 fof(f7566,plain,(
% 83.47/11.12 ![X0]: (c_lessequals(c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),X0,tc_set(tc_Message_Omsg))|~sQ3_spl)),
% 83.47/11.12 inference(component_clause,[status(thm)],[f7565])).
% 83.47/11.12 fof(f7568,definition,(
% 83.47/11.12 sQ4_spl <=> (c_in(v_X,c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_Message_Omsg))),
% 83.47/11.12 introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition])).
% 83.47/11.12 fof(f7571,plain,(
% 83.47/11.12 sQ3_spl|sQ4_spl),
% 83.47/11.12 inference(split_clause,[status(thm)],[f7540,f7565,f7568])).
% 83.47/11.12 fof(f7572,definition,(
% 83.47/11.12 sQ5_spl <=> (c_in(v_X,c_Message_Osynth(c_Message_Oanalz(c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))))),tc_Message_Omsg))),
% 83.47/11.12 introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition])).
% 83.47/11.12 fof(f7575,plain,(
% 83.47/11.12 sQ3_spl|sQ5_spl),
% 83.47/11.12 inference(split_clause,[status(thm)],[f7542,f7565,f7572])).
% 83.47/11.12 fof(f7576,definition,(
% 83.47/11.12 sQ6_spl <=> (c_in(v_X,c_Message_Oparts(c_Message_Oanalz(c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))))),tc_Message_Omsg))),
% 83.47/11.12 introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition])).
% 83.47/11.12 fof(f7579,plain,(
% 83.47/11.12 sQ3_spl|sQ6_spl),
% 83.47/11.12 inference(split_clause,[status(thm)],[f7543,f7565,f7576])).
% 83.47/11.12 fof(f7580,definition,(
% 83.47/11.12 sQ7_spl <=> (c_in(v_X,c_Message_Oparts(c_Message_Oparts(c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))))),tc_Message_Omsg))),
% 83.47/11.12 introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition])).
% 83.47/11.12 fof(f7583,plain,(
% 83.47/11.12 sQ3_spl|sQ7_spl),
% 83.47/11.12 inference(split_clause,[status(thm)],[f7544,f7565,f7580])).
% 83.47/11.12 fof(f7584,definition,(
% 83.47/11.12 sQ8_spl <=> (c_in(v_X,c_Message_Oparts(c_Message_Osynth(c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))))),tc_Message_Omsg))),
% 83.47/11.12 introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition])).
% 83.47/11.12 fof(f7587,plain,(
% 83.47/11.12 sQ3_spl|sQ8_spl),
% 83.47/11.12 inference(split_clause,[status(thm)],[f7545,f7565,f7584])).
% 83.47/11.12 fof(f7588,definition,(
% 83.47/11.12 sQ9_spl <=> (c_in(v_X,c_Message_Oanalz(c_Message_Oanalz(c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))))),tc_Message_Omsg))),
% 83.47/11.12 introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition])).
% 83.47/11.12 fof(f7591,plain,(
% 83.47/11.12 sQ3_spl|sQ9_spl),
% 83.47/11.12 inference(split_clause,[status(thm)],[f7549,f7565,f7588])).
% 83.47/11.12 fof(f7592,definition,(
% 83.47/11.12 sQ10_spl <=> (c_in(v_X,c_Message_Oanalz(c_Message_Oparts(c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))))),tc_Message_Omsg))),
% 83.47/11.12 introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition])).
% 83.47/11.12 fof(f7595,plain,(
% 83.47/11.12 sQ3_spl|sQ10_spl),
% 83.47/11.12 inference(split_clause,[status(thm)],[f7550,f7565,f7592])).
% 83.47/11.12 fof(f7596,definition,(
% 83.47/11.12 sQ11_spl <=> (c_in(v_X,c_Message_Oanalz(c_Message_Osynth(c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))))),tc_Message_Omsg))),
% 83.47/11.12 introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition])).
% 83.47/11.12 fof(f7599,plain,(
% 83.47/11.13 sQ3_spl|sQ11_spl),
% 83.47/11.13 inference(split_clause,[status(thm)],[f7551,f7565,f7596])).
% 83.47/11.13 fof(f7600,definition,(
% 83.47/11.13 sQ12_spl <=> (c_in(v_X,c_Message_Oparts(c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)))),tc_Message_Omsg))),
% 83.47/11.13 introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition])).
% 83.47/11.13 fof(f7603,plain,(
% 83.47/11.13 sQ3_spl|sQ12_spl),
% 83.47/11.13 inference(split_clause,[status(thm)],[f7555,f7565,f7600])).
% 83.47/11.13 fof(f7604,definition,(
% 83.47/11.13 sQ13_spl <=> (c_in(v_X,c_Message_Oanalz(c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)))),tc_Message_Omsg))),
% 83.47/11.13 introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition])).
% 83.47/11.13 fof(f7607,plain,(
% 83.47/11.13 sQ3_spl|sQ13_spl),
% 83.47/11.13 inference(split_clause,[status(thm)],[f7557,f7565,f7604])).
% 83.47/11.13 fof(f7609,plain,(
% 83.47/11.13 ![X0]: (~c_lessequals(X0,c_Message_Oparts(c_emptyset),tc_set(tc_Message_Omsg))|c_Message_Oparts(c_emptyset)=X0)),
% 83.47/11.13 inference(resolution,[status(thm)],[f7474,f1620])).
% 83.47/11.13 fof(f7612,plain,(
% 83.47/11.13 ![X0]: (~c_lessequals(c_Message_Osynth(c_UNIV),X0,tc_set(tc_Message_Omsg))|X0=c_Message_Osynth(c_UNIV))),
% 83.47/11.13 inference(resolution,[status(thm)],[f7481,f1620])).
% 83.47/11.13 fof(f7653,plain,(
% 83.47/11.13 ![X0]: (c_lessequals(c_Message_Osynth(c_Message_Osynth(X0)),c_Message_Osynth(X0),tc_set(tc_Message_Omsg))|c_lessequals(c_Message_Osynth(c_Message_Osynth(X0)),c_Message_Osynth(X0),tc_set(tc_Message_Omsg)))),
% 83.47/11.13 inference(resolution,[status(thm)],[f7454,f1618])).
% 83.47/11.13 fof(f7661,plain,(
% 83.47/11.13 ![X0]: (c_lessequals(c_Message_Osynth(c_Message_Osynth(X0)),c_Message_Osynth(X0),tc_set(tc_Message_Omsg)))),
% 83.47/11.13 inference(duplicate_literals_removal,[status(thm)],[f7653])).
% 83.47/11.13 fof(f7676,plain,(
% 83.47/11.13 ![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(X0,X1,tc_Message_Omsg)|~sQ3_spl)),
% 83.47/11.13 inference(resolution,[status(thm)],[f7566,f1616])).
% 83.47/11.13 fof(f7694,plain,(
% 83.47/11.13 ![X0]: (c_in(v_X,X0,tc_Message_Omsg)|~sQ3_spl)),
% 83.47/11.13 inference(resolution,[status(thm)],[f7676,f3101])).
% 83.47/11.13 fof(f7720,plain,(
% 83.47/11.13 $false|~sQ3_spl),
% 83.47/11.13 inference(resolution,[status(thm)],[f7694,f3127])).
% 83.47/11.13 fof(f7726,plain,(
% 83.47/11.13 ~sQ3_spl),
% 83.47/11.13 inference(contradiction_clause,[status(thm)],[f7720])).
% 83.47/11.13 fof(f7752,plain,(
% 83.47/11.13 ~c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_insert(v_X,c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf),tc_Message_Omsg),tc_Message_Omsg)|sQ2_spl),
% 83.47/11.13 inference(resolution,[status(thm)],[f3116,f3046])).
% 83.47/11.13 fof(f7764,plain,(
% 83.47/11.13 ~c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf),tc_Message_Omsg)|sQ2_spl),
% 83.47/11.13 inference(resolution,[status(thm)],[f7752,f2919])).
% 83.47/11.13 fof(f7847,plain,(
% 83.47/11.13 ![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)))),
% 83.47/11.13 inference(resolution,[status(thm)],[f7464,f1618])).
% 83.47/11.13 fof(f7855,plain,(
% 83.47/11.13 ![X0]: (c_lessequals(c_Message_Oanalz(c_Message_Oanalz(X0)),c_Message_Oanalz(X0),tc_set(tc_Message_Omsg)))),
% 83.47/11.13 inference(duplicate_literals_removal,[status(thm)],[f7847])).
% 83.47/11.13 fof(f7856,plain,(
% 83.47/11.13 ![X0]: (c_lessequals(c_Message_Oanalz(X0),c_Message_Oparts(X0),tc_set(tc_Message_Omsg))|c_lessequals(c_Message_Oanalz(X0),c_Message_Oparts(X0),tc_set(tc_Message_Omsg)))),
% 83.47/11.13 inference(resolution,[status(thm)],[f7465,f1618])).
% 83.47/11.13 fof(f7858,plain,(
% 83.47/11.13 ![X0]: (c_lessequals(c_Message_Oanalz(c_emptyset),X0,tc_set(tc_Message_Omsg)))),
% 83.47/11.13 inference(resolution,[status(thm)],[f7465,f3047])).
% 83.47/11.13 fof(f7859,plain,(
% 83.47/11.13 ![X0]: (c_lessequals(c_Message_Oanalz(X0),c_Message_Oparts(X0),tc_set(tc_Message_Omsg)))),
% 83.47/11.13 inference(duplicate_literals_removal,[status(thm)],[f7856])).
% 83.47/11.13 fof(f7940,plain,(
% 83.47/11.13 ~c_in(v_A,c_Event_Obad,tc_Message_Oagent)|sQ2_spl),
% 83.47/11.13 inference(resolution,[status(thm)],[f7764,f3074])).
% 83.47/11.13 fof(f7941,plain,(
% 83.47/11.13 ~sQ0_spl|sQ2_spl),
% 83.47/11.13 inference(split_clause,[status(thm)],[f7940,f3106,f3114])).
% 83.47/11.13 fof(f8167,plain,(
% 83.47/11.13 ![X0,X1]: (c_lessequals(c_insert(X0,c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_Message_Omsg),X1,tc_set(tc_Message_Omsg))|c_Main_OsubsetI__1(c_insert(X0,c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_Message_Omsg),X1,tc_Message_Omsg)=X0|c_in(c_Message_Omsg_OMPair(v_X,c_Main_OsubsetI__1(c_insert(X0,c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_Message_Omsg),X1,tc_Message_Omsg)),c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_Message_Omsg))),
% 83.47/11.13 inference(resolution,[status(thm)],[f7472,f3261])).
% 83.47/11.13 fof(f8195,plain,(
% 83.47/11.13 ![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)))),
% 83.47/11.13 inference(resolution,[status(thm)],[f7473,f1618])).
% 83.47/11.13 fof(f8198,plain,(
% 83.47/11.13 ![X0]: (c_lessequals(c_Message_Oparts(c_Message_Oparts(X0)),c_Message_Oparts(X0),tc_set(tc_Message_Omsg)))),
% 83.47/11.13 inference(duplicate_literals_removal,[status(thm)],[f8195])).
% 83.47/11.13 fof(f8233,definition,(
% 83.47/11.13 ![X0]: (sQ14_spl <=> (c_lessequals(c_Message_Osynth(c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)))),X0,tc_set(tc_Message_Omsg))))),
% 83.47/11.13 introduced(definition,[new_symbols(definition,[sQ14_spl])],[split_symbol_definition])).
% 83.47/11.13 fof(f8234,plain,(
% 83.47/11.13 ![X0]: (c_lessequals(c_Message_Osynth(c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)))),X0,tc_set(tc_Message_Omsg))|~sQ14_spl)),
% 83.47/11.13 inference(component_clause,[status(thm)],[f8233])).
% 83.47/11.13 fof(f8335,plain,(
% 83.47/11.13 ![X0]: (c_lessequals(c_Message_Oanalz(X0),c_Message_Osynth(c_Message_Oparts(X0)),tc_set(tc_Message_Omsg))|c_lessequals(c_Message_Oanalz(X0),c_Message_Osynth(c_Message_Oparts(X0)),tc_set(tc_Message_Omsg)))),
% 83.47/11.13 inference(resolution,[status(thm)],[f7488,f7465])).
% 83.47/11.13 fof(f8337,plain,(
% 83.47/11.13 ![X0]: (c_lessequals(X0,c_Message_Osynth(X0),tc_set(tc_Message_Omsg))|c_lessequals(X0,c_Message_Osynth(X0),tc_set(tc_Message_Omsg)))),
% 83.47/11.13 inference(resolution,[status(thm)],[f7488,f1617])).
% 83.47/11.13 fof(f8407,plain,(
% 83.47/11.13 ![X0]: (c_lessequals(c_Message_Oanalz(X0),c_Message_Osynth(c_Message_Oparts(X0)),tc_set(tc_Message_Omsg)))),
% 83.47/11.13 inference(duplicate_literals_removal,[status(thm)],[f8335])).
% 83.47/11.13 fof(f8409,plain,(
% 83.47/11.13 ![X0]: (c_lessequals(X0,c_Message_Osynth(X0),tc_set(tc_Message_Omsg)))),
% 83.47/11.13 inference(duplicate_literals_removal,[status(thm)],[f8337])).
% 83.47/11.13 fof(f8415,plain,(
% 83.47/11.13 ![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)))),
% 83.47/11.13 inference(resolution,[status(thm)],[f7507,f1617])).
% 83.47/11.13 fof(f8487,plain,(
% 83.47/11.13 ![X0]: (c_lessequals(X0,c_Message_Oparts(X0),tc_set(tc_Message_Omsg)))),
% 83.47/11.13 inference(duplicate_literals_removal,[status(thm)],[f8415])).
% 83.47/11.13 fof(f8533,plain,(
% 83.47/11.13 ![X0]: (~c_lessequals(c_Message_Osynth(X0),X0,tc_set(tc_Message_Omsg))|X0=c_Message_Osynth(X0))),
% 83.47/11.13 inference(resolution,[status(thm)],[f8409,f1620])).
% 83.47/11.13 fof(f8535,plain,(
% 83.47/11.13 ![X0]: (c_less(X0,c_Message_Osynth(X0),tc_set(tc_Message_Omsg))|X0=c_Message_Osynth(X0))),
% 83.47/11.13 inference(resolution,[status(thm)],[f8409,f1609])).
% 83.47/11.13 fof(f8536,plain,(
% 83.47/11.13 ![X0]: (~c_lessequals(c_Message_Oparts(X0),X0,tc_set(tc_Message_Omsg))|X0=c_Message_Oparts(X0))),
% 83.47/11.13 inference(resolution,[status(thm)],[f8487,f1620])).
% 83.47/11.13 fof(f8538,plain,(
% 83.47/11.13 ![X0]: (c_less(X0,c_Message_Oparts(X0),tc_set(tc_Message_Omsg))|X0=c_Message_Oparts(X0))),
% 83.47/11.13 inference(resolution,[status(thm)],[f8487,f1609])).
% 83.47/11.13 fof(f8556,plain,(
% 83.47/11.13 ![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)))),
% 83.47/11.13 inference(resolution,[status(thm)],[f7532,f1617])).
% 83.47/11.13 fof(f8628,plain,(
% 83.47/11.13 ![X0]: (c_lessequals(X0,c_Message_Oanalz(X0),tc_set(tc_Message_Omsg)))),
% 83.47/11.13 inference(duplicate_literals_removal,[status(thm)],[f8556])).
% 83.47/11.13 fof(f8640,plain,(
% 83.47/11.13 ![X0,X1,X2]: (c_lessequals(X0,c_insert(X1,c_UNIV,X2),tc_set(X2)))),
% 83.47/11.13 inference(resolution,[status(thm)],[f7534,f1602])).
% 83.47/11.13 fof(f8745,plain,(
% 83.47/11.13 ![X0,X1,X2]: (c_lessequals(c_insert(X0,c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_Message_Omsg),X1,tc_set(tc_Message_Omsg))|c_Main_OsubsetI__1(c_insert(X0,c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_Message_Omsg),X1,tc_Message_Omsg)=X0|~c_in(X2,c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_Message_Omsg)|c_in(c_Message_Omsg_OMPair(c_Message_Omsg_OMPair(v_X,c_Main_OsubsetI__1(c_insert(X0,c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_Message_Omsg),X1,tc_Message_Omsg)),X2),c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_Message_Omsg))),
% 83.47/11.13 inference(resolution,[status(thm)],[f8167,f3020])).
% 83.47/11.13 fof(f8759,plain,(
% 83.47/11.13 ![X0]: (~c_lessequals(c_Message_Oanalz(X0),X0,tc_set(tc_Message_Omsg))|X0=c_Message_Oanalz(X0))),
% 83.47/11.13 inference(resolution,[status(thm)],[f8628,f1620])).
% 83.47/11.13 fof(f8761,plain,(
% 83.47/11.13 ![X0]: (c_less(X0,c_Message_Oanalz(X0),tc_set(tc_Message_Omsg))|X0=c_Message_Oanalz(X0))),
% 83.47/11.13 inference(resolution,[status(thm)],[f8628,f1609])).
% 83.47/11.13 fof(f8770,plain,(
% 83.47/11.13 ![X0]: (c_Message_Osynth(X0)=c_Message_Osynth(c_Message_Osynth(X0)))),
% 83.47/11.13 inference(resolution,[status(thm)],[f8533,f7661])).
% 83.47/11.13 fof(f8774,plain,(
% 83.47/11.13 c_Message_Oanalz(c_UNIV)=c_Message_Osynth(c_Message_Oanalz(c_UNIV))),
% 83.47/11.13 inference(resolution,[status(thm)],[f8533,f7508])).
% 83.47/11.13 fof(f8778,plain,(
% 83.47/11.13 c_Message_Oparts(c_UNIV)=c_Message_Osynth(c_Message_Oparts(c_UNIV))),
% 83.47/11.13 inference(resolution,[status(thm)],[f8533,f7489])).
% 83.47/11.13 fof(f8830,plain,(
% 83.47/11.13 ~c_lessequals(c_Message_Oanalz(c_UNIV),c_Message_Oanalz(c_UNIV),tc_set(tc_Message_Omsg))|c_Message_Oanalz(c_UNIV)=c_Message_Osynth(c_Message_Oanalz(c_UNIV))),
% 83.47/11.13 inference(paramodulation,[status(thm)],[f8774,f8533])).
% 83.47/11.13 fof(f8848,definition,(
% 83.47/11.13 sQ16_spl <=> (c_lessequals(c_Message_Oanalz(c_UNIV),c_Message_Oanalz(c_UNIV),tc_set(tc_Message_Omsg)))),
% 83.47/11.13 introduced(definition,[new_symbols(definition,[sQ16_spl])],[split_symbol_definition])).
% 83.47/11.13 fof(f8850,plain,(
% 83.47/11.13 ~c_lessequals(c_Message_Oanalz(c_UNIV),c_Message_Oanalz(c_UNIV),tc_set(tc_Message_Omsg))|sQ16_spl),
% 83.47/11.13 inference(component_clause,[status(thm)],[f8848])).
% 83.47/11.13 fof(f8851,definition,(
% 83.47/11.13 sQ17_spl <=> (c_Message_Oanalz(c_UNIV)=c_Message_Osynth(c_Message_Oanalz(c_UNIV)))),
% 83.47/11.13 introduced(definition,[new_symbols(definition,[sQ17_spl])],[split_symbol_definition])).
% 83.47/11.13 fof(f8854,plain,(
% 83.47/11.13 ~sQ16_spl|sQ17_spl),
% 83.47/11.13 inference(split_clause,[status(thm)],[f8830,f8848,f8851])).
% 83.47/11.13 fof(f8857,plain,(
% 83.47/11.13 $false|sQ16_spl),
% 83.47/11.13 inference(forward_subsumption_resolution,[status(thm)],[f8850,f7508])).
% 83.47/11.13 fof(f8858,plain,(
% 83.47/11.13 sQ16_spl),
% 83.47/11.13 inference(contradiction_clause,[status(thm)],[f8857])).
% 83.47/11.13 fof(f8959,plain,(
% 83.47/11.13 ~c_lessequals(c_Message_Oparts(c_UNIV),c_Message_Oparts(c_UNIV),tc_set(tc_Message_Omsg))|c_Message_Oparts(c_UNIV)=c_Message_Osynth(c_Message_Oparts(c_UNIV))),
% 83.47/11.13 inference(paramodulation,[status(thm)],[f8778,f8533])).
% 83.47/11.13 fof(f8966,definition,(
% 83.47/11.13 sQ19_spl <=> (c_lessequals(c_Message_Oparts(c_UNIV),c_Message_Oparts(c_UNIV),tc_set(tc_Message_Omsg)))),
% 83.47/11.13 introduced(definition,[new_symbols(definition,[sQ19_spl])],[split_symbol_definition])).
% 83.47/11.13 fof(f8968,plain,(
% 83.47/11.13 ~c_lessequals(c_Message_Oparts(c_UNIV),c_Message_Oparts(c_UNIV),tc_set(tc_Message_Omsg))|sQ19_spl),
% 83.47/11.13 inference(component_clause,[status(thm)],[f8966])).
% 83.47/11.13 fof(f8969,definition,(
% 83.47/11.13 sQ20_spl <=> (c_Message_Oparts(c_UNIV)=c_Message_Osynth(c_Message_Oparts(c_UNIV)))),
% 83.47/11.13 introduced(definition,[new_symbols(definition,[sQ20_spl])],[split_symbol_definition])).
% 83.47/11.13 fof(f8972,plain,(
% 83.47/11.13 ~sQ19_spl|sQ20_spl),
% 83.47/11.13 inference(split_clause,[status(thm)],[f8959,f8966,f8969])).
% 83.47/11.13 fof(f8975,plain,(
% 83.47/11.13 $false|sQ19_spl),
% 83.47/11.13 inference(forward_subsumption_resolution,[status(thm)],[f8968,f7489])).
% 83.47/11.13 fof(f8976,plain,(
% 83.47/11.13 sQ19_spl),
% 83.47/11.13 inference(contradiction_clause,[status(thm)],[f8975])).
% 83.47/11.13 fof(f8991,plain,(
% 83.47/11.13 ![X0]: (c_Message_Oparts(X0)=c_Message_Oparts(c_Message_Oparts(X0)))),
% 83.47/11.13 inference(resolution,[status(thm)],[f8536,f8198])).
% 83.47/11.13 fof(f8992,plain,(
% 83.47/11.13 c_emptyset=c_Message_Oparts(c_emptyset)),
% 83.47/11.13 inference(resolution,[status(thm)],[f8536,f7474])).
% 83.47/11.13 fof(f8996,plain,(
% 83.47/11.13 c_Message_Oanalz(c_UNIV)=c_Message_Oparts(c_Message_Oanalz(c_UNIV))),
% 83.47/11.13 inference(resolution,[status(thm)],[f8536,f7508])).
% 83.47/11.13 fof(f9001,plain,(
% 83.47/11.13 c_Message_Osynth(c_UNIV)=c_Message_Oparts(c_Message_Osynth(c_UNIV))),
% 83.47/11.13 inference(resolution,[status(thm)],[f8536,f7481])).
% 83.47/11.13 fof(f9007,plain,(
% 83.47/11.13 ~c_lessequals(c_emptyset,c_emptyset,tc_set(tc_Message_Omsg))|c_emptyset=c_Message_Oparts(c_emptyset)),
% 83.47/11.13 inference(paramodulation,[status(thm)],[f8992,f8536])).
% 83.47/11.13 fof(f9026,definition,(
% 83.47/11.13 sQ23_spl <=> (c_lessequals(c_emptyset,c_emptyset,tc_set(tc_Message_Omsg)))),
% 83.47/11.13 introduced(definition,[new_symbols(definition,[sQ23_spl])],[split_symbol_definition])).
% 83.47/11.13 fof(f9028,plain,(
% 83.47/11.13 ~c_lessequals(c_emptyset,c_emptyset,tc_set(tc_Message_Omsg))|sQ23_spl),
% 83.47/11.13 inference(component_clause,[status(thm)],[f9026])).
% 83.47/11.13 fof(f9029,definition,(
% 83.47/11.13 sQ24_spl <=> (c_emptyset=c_Message_Oparts(c_emptyset))),
% 83.47/11.13 introduced(definition,[new_symbols(definition,[sQ24_spl])],[split_symbol_definition])).
% 83.47/11.13 fof(f9032,plain,(
% 83.47/11.13 ~sQ23_spl|sQ24_spl),
% 83.47/11.13 inference(split_clause,[status(thm)],[f9007,f9026,f9029])).
% 83.47/11.13 fof(f9051,plain,(
% 83.47/11.13 $false|sQ23_spl),
% 83.47/11.13 inference(forward_subsumption_resolution,[status(thm)],[f9028,f1605])).
% 83.47/11.13 fof(f9052,plain,(
% 83.47/11.13 sQ23_spl),
% 83.47/11.13 inference(contradiction_clause,[status(thm)],[f9051])).
% 83.47/11.13 fof(f9296,plain,(
% 83.47/11.13 ~c_lessequals(c_Message_Oanalz(c_UNIV),c_Message_Oanalz(c_UNIV),tc_set(tc_Message_Omsg))|c_Message_Oanalz(c_UNIV)=c_Message_Oparts(c_Message_Oanalz(c_UNIV))),
% 83.47/11.13 inference(paramodulation,[status(thm)],[f8996,f8536])).
% 83.47/11.13 fof(f9310,definition,(
% 83.47/11.13 sQ25_spl <=> (c_Message_Oanalz(c_UNIV)=c_Message_Oparts(c_Message_Oanalz(c_UNIV)))),
% 83.47/11.13 introduced(definition,[new_symbols(definition,[sQ25_spl])],[split_symbol_definition])).
% 83.47/11.13 fof(f9313,plain,(
% 83.47/11.13 ~sQ16_spl|sQ25_spl),
% 83.47/11.13 inference(split_clause,[status(thm)],[f9296,f8848,f9310])).
% 83.47/11.13 fof(f9325,plain,(
% 83.47/11.13 ~c_lessequals(c_Message_Osynth(c_UNIV),c_Message_Osynth(c_UNIV),tc_set(tc_Message_Omsg))|c_Message_Osynth(c_UNIV)=c_Message_Oparts(c_Message_Osynth(c_UNIV))),
% 83.47/11.13 inference(paramodulation,[status(thm)],[f9001,f8536])).
% 83.47/11.13 fof(f9336,definition,(
% 83.47/11.13 sQ26_spl <=> (c_lessequals(c_Message_Osynth(c_UNIV),c_Message_Osynth(c_UNIV),tc_set(tc_Message_Omsg)))),
% 83.47/11.13 introduced(definition,[new_symbols(definition,[sQ26_spl])],[split_symbol_definition])).
% 83.47/11.13 fof(f9338,plain,(
% 83.47/11.13 ~c_lessequals(c_Message_Osynth(c_UNIV),c_Message_Osynth(c_UNIV),tc_set(tc_Message_Omsg))|sQ26_spl),
% 83.47/11.13 inference(component_clause,[status(thm)],[f9336])).
% 83.47/11.13 fof(f9339,definition,(
% 83.47/11.13 sQ27_spl <=> (c_Message_Osynth(c_UNIV)=c_Message_Oparts(c_Message_Osynth(c_UNIV)))),
% 83.47/11.13 introduced(definition,[new_symbols(definition,[sQ27_spl])],[split_symbol_definition])).
% 83.47/11.13 fof(f9342,plain,(
% 83.47/11.13 ~sQ26_spl|sQ27_spl),
% 83.47/11.13 inference(split_clause,[status(thm)],[f9325,f9336,f9339])).
% 83.47/11.13 fof(f9349,plain,(
% 83.47/11.13 $false|sQ26_spl),
% 83.47/11.13 inference(forward_subsumption_resolution,[status(thm)],[f9338,f7481])).
% 83.47/11.13 fof(f9350,plain,(
% 83.47/11.13 sQ26_spl),
% 83.47/11.13 inference(contradiction_clause,[status(thm)],[f9349])).
% 83.47/11.13 fof(f9514,plain,(
% 83.47/11.13 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))),
% 83.47/11.13 inference(resolution,[status(thm)],[f7541,f7532])).
% 83.47/11.13 fof(f9515,plain,(
% 83.47/11.13 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))),
% 83.47/11.13 inference(resolution,[status(thm)],[f7541,f7507])).
% 83.47/11.13 fof(f9516,plain,(
% 83.47/11.13 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))),
% 83.47/11.13 inference(resolution,[status(thm)],[f7541,f7488])).
% 83.47/11.13 fof(f9517,plain,(
% 83.47/11.13 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))),
% 83.47/11.13 inference(resolution,[status(thm)],[f7541,f1618])).
% 83.47/11.13 fof(f9521,definition,(
% 83.47/11.13 sQ30_spl <=> (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)))),
% 83.47/11.13 introduced(definition,[new_symbols(definition,[sQ30_spl])],[split_symbol_definition])).
% 83.47/11.13 fof(f9524,plain,(
% 83.47/11.13 sQ30_spl),
% 83.47/11.13 inference(split_clause,[status(thm)],[f9514,f9521])).
% 83.47/11.13 fof(f9525,definition,(
% 83.47/11.13 sQ31_spl <=> (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)))),
% 83.47/11.13 introduced(definition,[new_symbols(definition,[sQ31_spl])],[split_symbol_definition])).
% 83.47/11.13 fof(f9528,plain,(
% 83.47/11.13 sQ31_spl),
% 83.47/11.13 inference(split_clause,[status(thm)],[f9515,f9525])).
% 83.47/11.13 fof(f9529,definition,(
% 83.47/11.13 sQ32_spl <=> (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)))),
% 83.47/11.13 introduced(definition,[new_symbols(definition,[sQ32_spl])],[split_symbol_definition])).
% 83.47/11.13 fof(f9532,plain,(
% 83.47/11.13 sQ32_spl),
% 83.47/11.13 inference(split_clause,[status(thm)],[f9516,f9529])).
% 83.47/11.13 fof(f9533,definition,(
% 83.47/11.13 sQ33_spl <=> (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)))),
% 83.47/11.13 introduced(definition,[new_symbols(definition,[sQ33_spl])],[split_symbol_definition])).
% 83.47/11.13 fof(f9536,plain,(
% 83.47/11.13 sQ33_spl),
% 83.47/11.13 inference(split_clause,[status(thm)],[f9517,f9533])).
% 83.47/11.13 fof(f9538,plain,(
% 83.47/11.13 ![X0]: (c_Message_Oanalz(X0)=c_Message_Oanalz(c_Message_Oanalz(X0)))),
% 83.47/11.13 inference(resolution,[status(thm)],[f8759,f7855])).
% 83.47/11.13 fof(f9539,plain,(
% 83.47/11.13 c_emptyset=c_Message_Oanalz(c_emptyset)),
% 83.47/11.13 inference(resolution,[status(thm)],[f8759,f7858])).
% 83.47/11.13 fof(f9544,plain,(
% 83.47/11.13 c_Message_Oparts(c_UNIV)=c_Message_Oanalz(c_Message_Oparts(c_UNIV))),
% 83.47/11.13 inference(resolution,[status(thm)],[f8759,f7489])).
% 83.47/11.13 fof(f9545,plain,(
% 83.47/11.13 c_Message_Osynth(c_UNIV)=c_Message_Oanalz(c_Message_Osynth(c_UNIV))),
% 83.47/11.13 inference(resolution,[status(thm)],[f8759,f7481])).
% 83.47/11.13 fof(f9549,plain,(
% 83.47/11.13 ~c_lessequals(c_emptyset,c_emptyset,tc_set(tc_Message_Omsg))|c_emptyset=c_Message_Oanalz(c_emptyset)),
% 83.47/11.13 inference(paramodulation,[status(thm)],[f9539,f8759])).
% 83.47/11.13 fof(f9576,definition,(
% 83.47/11.13 sQ34_spl <=> (c_emptyset=c_Message_Oanalz(c_emptyset))),
% 83.47/11.13 introduced(definition,[new_symbols(definition,[sQ34_spl])],[split_symbol_definition])).
% 83.47/11.13 fof(f9579,plain,(
% 83.47/11.13 ~sQ23_spl|sQ34_spl),
% 83.47/11.13 inference(split_clause,[status(thm)],[f9549,f9026,f9576])).
% 83.47/11.13 fof(f9645,plain,(
% 83.47/11.13 ![X0]: (c_lessequals(c_Message_Oanalz(X0),c_Message_Osynth(c_Message_Oparts(c_Message_Oanalz(X0))),tc_set(tc_Message_Omsg)))),
% 83.47/11.13 inference(paramodulation,[status(thm)],[f9538,f8407])).
% 83.47/11.13 fof(f9692,plain,(
% 83.47/11.13 ~c_lessequals(c_Message_Oparts(c_UNIV),c_Message_Oparts(c_UNIV),tc_set(tc_Message_Omsg))|c_Message_Oparts(c_UNIV)=c_Message_Oanalz(c_Message_Oparts(c_UNIV))),
% 83.47/11.13 inference(paramodulation,[status(thm)],[f9544,f8759])).
% 83.47/11.13 fof(f9716,definition,(
% 83.47/11.13 sQ35_spl <=> (c_Message_Oparts(c_UNIV)=c_Message_Oanalz(c_Message_Oparts(c_UNIV)))),
% 83.47/11.13 introduced(definition,[new_symbols(definition,[sQ35_spl])],[split_symbol_definition])).
% 83.47/11.13 fof(f9719,plain,(
% 83.47/11.13 ~sQ19_spl|sQ35_spl),
% 83.47/11.13 inference(split_clause,[status(thm)],[f9692,f8966,f9716])).
% 83.47/11.13 fof(f9773,plain,(
% 83.47/11.13 ~c_lessequals(c_Message_Osynth(c_UNIV),c_Message_Osynth(c_UNIV),tc_set(tc_Message_Omsg))|c_Message_Osynth(c_UNIV)=c_Message_Oanalz(c_Message_Osynth(c_UNIV))),
% 83.47/11.13 inference(paramodulation,[status(thm)],[f9545,f8759])).
% 83.47/11.13 fof(f9797,definition,(
% 83.47/11.13 sQ36_spl <=> (c_Message_Osynth(c_UNIV)=c_Message_Oanalz(c_Message_Osynth(c_UNIV)))),
% 83.47/11.13 introduced(definition,[new_symbols(definition,[sQ36_spl])],[split_symbol_definition])).
% 83.47/11.13 fof(f9800,plain,(
% 83.47/11.13 ~sQ26_spl|sQ36_spl),
% 83.47/11.13 inference(split_clause,[status(thm)],[f9773,f9336,f9797])).
% 83.47/11.13 fof(f9909,plain,(
% 83.47/11.13 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))),
% 83.47/11.13 inference(resolution,[status(thm)],[f7546,f7532])).
% 83.47/11.13 fof(f9910,plain,(
% 83.47/11.13 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))),
% 83.47/11.13 inference(resolution,[status(thm)],[f7546,f7507])).
% 83.47/11.13 fof(f9911,plain,(
% 83.47/11.13 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))),
% 83.47/11.13 inference(resolution,[status(thm)],[f7546,f7488])).
% 83.47/11.13 fof(f9912,plain,(
% 83.47/11.13 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))),
% 83.47/11.13 inference(resolution,[status(thm)],[f7546,f1618])).
% 83.47/11.13 fof(f9914,definition,(
% 83.47/11.13 sQ37_spl <=> (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)))),
% 83.47/11.13 introduced(definition,[new_symbols(definition,[sQ37_spl])],[split_symbol_definition])).
% 83.47/11.13 fof(f9917,plain,(
% 83.47/11.13 sQ37_spl),
% 83.47/11.13 inference(split_clause,[status(thm)],[f9909,f9914])).
% 83.47/11.13 fof(f9918,definition,(
% 83.47/11.13 sQ38_spl <=> (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)))),
% 83.47/11.13 introduced(definition,[new_symbols(definition,[sQ38_spl])],[split_symbol_definition])).
% 83.47/11.13 fof(f9921,plain,(
% 83.47/11.13 sQ38_spl),
% 83.47/11.13 inference(split_clause,[status(thm)],[f9910,f9918])).
% 83.47/11.13 fof(f9922,definition,(
% 83.47/11.13 sQ39_spl <=> (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)))),
% 83.47/11.13 introduced(definition,[new_symbols(definition,[sQ39_spl])],[split_symbol_definition])).
% 83.47/11.13 fof(f9925,plain,(
% 83.47/11.13 sQ39_spl),
% 83.47/11.13 inference(split_clause,[status(thm)],[f9911,f9922])).
% 83.47/11.13 fof(f9926,definition,(
% 83.47/11.13 sQ40_spl <=> (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)))),
% 83.47/11.13 introduced(definition,[new_symbols(definition,[sQ40_spl])],[split_symbol_definition])).
% 83.47/11.13 fof(f9929,plain,(
% 83.47/11.13 sQ40_spl),
% 83.47/11.13 inference(split_clause,[status(thm)],[f9912,f9926])).
% 83.47/11.13 fof(f10003,plain,(
% 83.47/11.13 ![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))),
% 83.47/11.13 inference(forward_demodulation,[status(thm)],[f8991,f7547])).
% 83.47/11.13 fof(f10005,plain,(
% 83.47/11.13 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))),
% 83.47/11.13 inference(resolution,[status(thm)],[f10003,f7532])).
% 83.47/11.13 fof(f10006,plain,(
% 83.47/11.13 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))),
% 83.47/11.13 inference(resolution,[status(thm)],[f10003,f7507])).
% 83.47/11.13 fof(f10007,plain,(
% 83.47/11.13 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))),
% 83.47/11.13 inference(resolution,[status(thm)],[f10003,f7488])).
% 83.47/11.13 fof(f10008,plain,(
% 83.47/11.13 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))),
% 83.47/11.13 inference(resolution,[status(thm)],[f10003,f1618])).
% 83.47/11.13 fof(f10010,definition,(
% 83.47/11.13 sQ41_spl <=> (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)))),
% 83.47/11.13 introduced(definition,[new_symbols(definition,[sQ41_spl])],[split_symbol_definition])).
% 83.47/11.13 fof(f10013,plain,(
% 83.47/11.13 sQ41_spl),
% 83.47/11.13 inference(split_clause,[status(thm)],[f10005,f10010])).
% 83.47/11.13 fof(f10014,definition,(
% 83.47/11.13 sQ42_spl <=> (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)))),
% 83.47/11.13 introduced(definition,[new_symbols(definition,[sQ42_spl])],[split_symbol_definition])).
% 83.47/11.13 fof(f10017,plain,(
% 83.47/11.13 sQ42_spl),
% 83.47/11.13 inference(split_clause,[status(thm)],[f10006,f10014])).
% 83.47/11.13 fof(f10018,definition,(
% 83.47/11.13 sQ43_spl <=> (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)))),
% 83.47/11.13 introduced(definition,[new_symbols(definition,[sQ43_spl])],[split_symbol_definition])).
% 83.47/11.13 fof(f10021,plain,(
% 83.47/11.13 sQ43_spl),
% 83.47/11.13 inference(split_clause,[status(thm)],[f10007,f10018])).
% 83.47/11.13 fof(f10022,definition,(
% 83.47/11.13 sQ44_spl <=> (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)))),
% 83.47/11.14 introduced(definition,[new_symbols(definition,[sQ44_spl])],[split_symbol_definition])).
% 83.47/11.14 fof(f10025,plain,(
% 83.47/11.14 sQ44_spl),
% 83.47/11.14 inference(split_clause,[status(thm)],[f10008,f10022])).
% 83.47/11.14 fof(f10272,plain,(
% 83.47/11.14 ![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))),
% 83.47/11.14 inference(forward_demodulation,[status(thm)],[f9538,f7552])).
% 83.47/11.14 fof(f10274,plain,(
% 83.47/11.14 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))),
% 83.47/11.14 inference(resolution,[status(thm)],[f10272,f7532])).
% 83.47/11.14 fof(f10277,plain,(
% 83.47/11.14 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))),
% 83.47/11.14 inference(resolution,[status(thm)],[f10272,f1618])).
% 83.47/11.14 fof(f10280,definition,(
% 83.47/11.14 sQ45_spl <=> (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)))),
% 83.47/11.14 introduced(definition,[new_symbols(definition,[sQ45_spl])],[split_symbol_definition])).
% 83.47/11.14 fof(f10283,plain,(
% 83.47/11.14 sQ45_spl),
% 83.47/11.14 inference(split_clause,[status(thm)],[f10274,f10280])).
% 83.47/11.14 fof(f10286,definition,(
% 83.47/11.14 sQ46_spl <=> (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)))),
% 83.47/11.14 introduced(definition,[new_symbols(definition,[sQ46_spl])],[split_symbol_definition])).
% 83.47/11.14 fof(f10289,plain,(
% 83.47/11.14 sQ46_spl),
% 83.47/11.14 inference(split_clause,[status(thm)],[f10277,f10286])).
% 83.47/11.14 fof(f11013,plain,(
% 83.47/11.14 ![X0,X1]: (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(X1,c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_Message_Omsg)|c_in(X1,c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_Message_Omsg))),
% 83.47/11.14 inference(resolution,[status(thm)],[f7564,f3019])).
% 83.47/11.14 fof(f11014,plain,(
% 83.47/11.14 ![X0,X1]: (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(X1,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_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))),
% 83.47/11.14 inference(resolution,[status(thm)],[f7564,f3017])).
% 83.47/11.14 fof(f11015,plain,(
% 83.47/11.14 ![X0,X1]: (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(X1,c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_Message_Omsg)|c_in(X1,c_Message_Osynth(c_Message_Oanalz(c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))))),tc_Message_Omsg))),
% 83.47/11.14 inference(resolution,[status(thm)],[f7564,f3981])).
% 83.47/11.14 fof(f11016,plain,(
% 83.47/11.14 ![X0,X1]: (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(X1,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_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))),
% 83.47/11.14 inference(resolution,[status(thm)],[f7564,f3962])).
% 83.47/11.14 fof(f11017,plain,(
% 83.47/11.14 ![X0,X1]: (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(X1,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_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))),
% 83.47/11.14 inference(resolution,[status(thm)],[f7564,f3190])).
% 83.47/11.14 fof(f11018,plain,(
% 83.47/11.14 ![X0,X1]: (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(X1,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_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_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))))),tc_Message_Omsg))),
% 83.47/11.14 inference(resolution,[status(thm)],[f7564,f3184])).
% 83.47/11.14 fof(f11019,plain,(
% 83.47/11.14 ![X0,X1]: (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(X1,c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_Message_Omsg)|c_in(X1,c_Message_Oparts(c_Message_Oanalz(c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))))),tc_Message_Omsg))),
% 83.47/11.14 inference(resolution,[status(thm)],[f7564,f3181])).
% 83.47/11.14 fof(f11020,plain,(
% 83.47/11.14 ![X0,X1]: (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(X1,c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_Message_Omsg)|c_in(X1,c_Message_Oparts(c_Message_Osynth(c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))))),tc_Message_Omsg))),
% 83.47/11.14 inference(resolution,[status(thm)],[f7564,f3175])).
% 83.47/11.14 fof(f11021,plain,(
% 83.47/11.14 ![X0,X1]: (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(X1,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_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_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))))),tc_Message_Omsg))),
% 83.47/11.14 inference(resolution,[status(thm)],[f7564,f3151])).
% 83.47/11.14 fof(f11022,plain,(
% 83.47/11.14 ![X0,X1]: (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(X1,c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_Message_Omsg)|c_in(X1,c_Message_Oanalz(c_Message_Osynth(c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))))),tc_Message_Omsg))),
% 83.47/11.14 inference(resolution,[status(thm)],[f7564,f3141])).
% 83.47/11.14 fof(f11023,plain,(
% 83.47/11.14 ![X0,X1]: (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(X1,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_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))),
% 83.47/11.14 inference(resolution,[status(thm)],[f7564,f3170])).
% 83.47/11.14 fof(f11024,plain,(
% 83.47/11.14 ![X0,X1]: (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(X1,c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_Message_Omsg)|c_in(X1,c_Message_Oparts(c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)))),tc_Message_Omsg))),
% 83.47/11.14 inference(resolution,[status(thm)],[f7564,f3167])).
% 83.47/11.14 fof(f11025,plain,(
% 83.47/11.14 ![X0,X1]: (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(X1,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_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))),
% 83.47/11.14 inference(resolution,[status(thm)],[f7564,f3140])).
% 83.47/11.14 fof(f11026,plain,(
% 83.47/11.14 ![X0,X1]: (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(X1,c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_Message_Omsg)|c_in(X1,c_Message_Oanalz(c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)))),tc_Message_Omsg))),
% 83.47/11.14 inference(resolution,[status(thm)],[f7564,f3139])).
% 83.47/11.14 fof(f11034,definition,(
% 83.47/11.14 ![X1]: (sQ47_spl <=> (~c_in(X1,c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_Message_Omsg)|c_in(X1,c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_Message_Omsg)))),
% 83.47/11.14 introduced(definition,[new_symbols(definition,[sQ47_spl])],[split_symbol_definition])).
% 83.47/11.14 fof(f11037,plain,(
% 83.47/11.14 sQ3_spl|sQ47_spl),
% 83.47/11.14 inference(split_clause,[status(thm)],[f11013,f7565,f11034])).
% 83.47/11.14 fof(f11038,definition,(
% 83.47/11.14 ![X0]: (sQ48_spl <=> (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)))),
% 83.47/11.14 introduced(definition,[new_symbols(definition,[sQ48_spl])],[split_symbol_definition])).
% 83.47/11.14 fof(f11041,definition,(
% 83.47/11.14 ![X1]: (sQ49_spl <=> (~c_in(X1,c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_Message_Omsg)))),
% 83.47/11.14 introduced(definition,[new_symbols(definition,[sQ49_spl])],[split_symbol_definition])).
% 83.47/11.14 fof(f11042,plain,(
% 83.47/11.14 ![X0]: (~c_in(X0,c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_Message_Omsg)|~sQ49_spl)),
% 83.47/11.14 inference(component_clause,[status(thm)],[f11041])).
% 83.47/11.14 fof(f11044,plain,(
% 83.47/11.14 sQ48_spl|sQ49_spl),
% 83.47/11.14 inference(split_clause,[status(thm)],[f11014,f11038,f11041])).
% 83.47/11.14 fof(f11045,definition,(
% 83.47/11.14 ![X1]: (sQ50_spl <=> (~c_in(X1,c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_Message_Omsg)|c_in(X1,c_Message_Osynth(c_Message_Oanalz(c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))))),tc_Message_Omsg)))),
% 83.47/11.14 introduced(definition,[new_symbols(definition,[sQ50_spl])],[split_symbol_definition])).
% 83.47/11.14 fof(f11048,plain,(
% 83.47/11.14 sQ3_spl|sQ50_spl),
% 83.47/11.14 inference(split_clause,[status(thm)],[f11015,f7565,f11045])).
% 83.47/11.14 fof(f11049,definition,(
% 83.47/11.14 ![X0]: (sQ51_spl <=> (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_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))))),tc_Message_Omsg)))),
% 83.47/11.14 introduced(definition,[new_symbols(definition,[sQ51_spl])],[split_symbol_definition])).
% 83.47/11.14 fof(f11052,plain,(
% 83.47/11.14 sQ51_spl|sQ49_spl),
% 83.47/11.14 inference(split_clause,[status(thm)],[f11016,f11049,f11041])).
% 83.47/11.14 fof(f11053,definition,(
% 83.47/11.14 ![X0]: (sQ52_spl <=> (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_Oparts(c_Message_Oanalz(c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))))),tc_Message_Omsg)))),
% 83.47/11.14 introduced(definition,[new_symbols(definition,[sQ52_spl])],[split_symbol_definition])).
% 83.47/11.14 fof(f11056,plain,(
% 83.47/11.14 sQ52_spl|sQ49_spl),
% 83.47/11.14 inference(split_clause,[status(thm)],[f11017,f11053,f11041])).
% 83.47/11.14 fof(f11057,definition,(
% 83.47/11.14 ![X0]: (sQ53_spl <=> (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_Oparts(c_Message_Osynth(c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))))),tc_Message_Omsg)))),
% 83.47/11.14 introduced(definition,[new_symbols(definition,[sQ53_spl])],[split_symbol_definition])).
% 83.47/11.14 fof(f11060,plain,(
% 83.47/11.14 sQ53_spl|sQ49_spl),
% 83.47/11.14 inference(split_clause,[status(thm)],[f11018,f11057,f11041])).
% 83.47/11.14 fof(f11061,definition,(
% 83.47/11.14 ![X1]: (sQ54_spl <=> (~c_in(X1,c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_Message_Omsg)|c_in(X1,c_Message_Oparts(c_Message_Oanalz(c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))))),tc_Message_Omsg)))),
% 83.47/11.14 introduced(definition,[new_symbols(definition,[sQ54_spl])],[split_symbol_definition])).
% 83.47/11.14 fof(f11064,plain,(
% 83.47/11.14 sQ3_spl|sQ54_spl),
% 83.47/11.14 inference(split_clause,[status(thm)],[f11019,f7565,f11061])).
% 83.47/11.14 fof(f11065,definition,(
% 83.47/11.14 ![X1]: (sQ55_spl <=> (~c_in(X1,c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_Message_Omsg)|c_in(X1,c_Message_Oparts(c_Message_Osynth(c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))))),tc_Message_Omsg)))),
% 83.47/11.14 introduced(definition,[new_symbols(definition,[sQ55_spl])],[split_symbol_definition])).
% 83.47/11.14 fof(f11068,plain,(
% 83.47/11.14 sQ3_spl|sQ55_spl),
% 83.47/11.14 inference(split_clause,[status(thm)],[f11020,f7565,f11065])).
% 83.47/11.14 fof(f11069,definition,(
% 83.47/11.14 ![X0]: (sQ56_spl <=> (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_Oanalz(c_Message_Osynth(c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))))),tc_Message_Omsg)))),
% 83.47/11.14 introduced(definition,[new_symbols(definition,[sQ56_spl])],[split_symbol_definition])).
% 83.47/11.14 fof(f11072,plain,(
% 83.47/11.14 sQ56_spl|sQ49_spl),
% 83.47/11.14 inference(split_clause,[status(thm)],[f11021,f11069,f11041])).
% 83.47/11.14 fof(f11073,definition,(
% 83.47/11.14 ![X1]: (sQ57_spl <=> (~c_in(X1,c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_Message_Omsg)|c_in(X1,c_Message_Oanalz(c_Message_Osynth(c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))))),tc_Message_Omsg)))),
% 83.47/11.14 introduced(definition,[new_symbols(definition,[sQ57_spl])],[split_symbol_definition])).
% 83.47/11.14 fof(f11076,plain,(
% 83.47/11.14 sQ3_spl|sQ57_spl),
% 83.47/11.14 inference(split_clause,[status(thm)],[f11022,f7565,f11073])).
% 83.47/11.14 fof(f11077,definition,(
% 83.47/11.14 ![X0]: (sQ58_spl <=> (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_Oparts(c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)))),tc_Message_Omsg)))),
% 83.47/11.14 introduced(definition,[new_symbols(definition,[sQ58_spl])],[split_symbol_definition])).
% 83.47/11.14 fof(f11080,plain,(
% 83.47/11.14 sQ58_spl|sQ49_spl),
% 83.47/11.14 inference(split_clause,[status(thm)],[f11023,f11077,f11041])).
% 83.47/11.14 fof(f11081,definition,(
% 83.47/11.14 ![X1]: (sQ59_spl <=> (~c_in(X1,c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_Message_Omsg)|c_in(X1,c_Message_Oparts(c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)))),tc_Message_Omsg)))),
% 83.47/11.14 introduced(definition,[new_symbols(definition,[sQ59_spl])],[split_symbol_definition])).
% 83.47/11.14 fof(f11084,plain,(
% 83.47/11.14 sQ3_spl|sQ59_spl),
% 83.47/11.14 inference(split_clause,[status(thm)],[f11024,f7565,f11081])).
% 83.47/11.14 fof(f11085,definition,(
% 83.47/11.14 ![X0]: (sQ60_spl <=> (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_Oanalz(c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)))),tc_Message_Omsg)))),
% 83.47/11.14 introduced(definition,[new_symbols(definition,[sQ60_spl])],[split_symbol_definition])).
% 83.47/11.14 fof(f11088,plain,(
% 83.47/11.14 sQ60_spl|sQ49_spl),
% 83.47/11.14 inference(split_clause,[status(thm)],[f11025,f11085,f11041])).
% 83.47/11.14 fof(f11089,definition,(
% 83.47/11.14 ![X1]: (sQ61_spl <=> (~c_in(X1,c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_Message_Omsg)|c_in(X1,c_Message_Oanalz(c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)))),tc_Message_Omsg)))),
% 83.47/11.14 introduced(definition,[new_symbols(definition,[sQ61_spl])],[split_symbol_definition])).
% 83.47/11.14 fof(f11092,plain,(
% 83.47/11.14 sQ3_spl|sQ61_spl),
% 83.47/11.14 inference(split_clause,[status(thm)],[f11026,f7565,f11089])).
% 83.47/11.14 fof(f11176,plain,(
% 83.47/11.14 $false|~sQ49_spl),
% 83.47/11.14 inference(backward_subsumption_resolution,[status(thm)],[f3101,f11042])).
% 83.47/11.14 fof(f11204,plain,(
% 83.47/11.14 ~sQ49_spl),
% 83.47/11.14 inference(contradiction_clause,[status(thm)],[f11176])).
% 83.47/11.14 fof(f14216,plain,(
% 83.47/11.14 ![X0]: (~c_lessequals(X0,c_emptyset,tc_set(tc_Message_Omsg))|c_Message_Oparts(c_emptyset)=X0)),
% 83.47/11.14 inference(forward_demodulation,[status(thm)],[f8992,f7609])).
% 83.47/11.14 fof(f14217,plain,(
% 83.47/11.14 ![X0]: (~c_lessequals(X0,c_emptyset,tc_set(tc_Message_Omsg))|c_emptyset=X0)),
% 83.47/11.14 inference(forward_demodulation,[status(thm)],[f8992,f14216])).
% 83.47/11.14 fof(f14221,plain,(
% 83.47/11.14 c_emptyset=c_emptyset|~class_Orderings_Oorder(tc_set(tc_Message_Omsg))),
% 83.47/11.14 inference(resolution,[status(thm)],[f14217,f1568])).
% 83.47/11.14 fof(f14222,definition,(
% 83.47/11.14 sQ64_spl <=> (c_emptyset=c_emptyset)),
% 83.47/11.14 introduced(definition,[new_symbols(definition,[sQ64_spl])],[split_symbol_definition])).
% 83.47/11.14 fof(f14225,definition,(
% 83.47/11.14 sQ65_spl <=> (class_Orderings_Oorder(tc_set(tc_Message_Omsg)))),
% 83.47/11.14 introduced(definition,[new_symbols(definition,[sQ65_spl])],[split_symbol_definition])).
% 83.47/11.14 fof(f14227,plain,(
% 83.47/11.14 ~class_Orderings_Oorder(tc_set(tc_Message_Omsg))|sQ65_spl),
% 83.47/11.14 inference(component_clause,[status(thm)],[f14225])).
% 83.47/11.14 fof(f14228,plain,(
% 83.47/11.14 sQ64_spl|~sQ65_spl),
% 83.47/11.14 inference(split_clause,[status(thm)],[f14221,f14222,f14225])).
% 83.47/11.14 fof(f14233,plain,(
% 83.47/11.14 c_Message_Oanalz(c_UNIV)=c_Message_Osynth(c_UNIV)),
% 83.47/11.14 inference(resolution,[status(thm)],[f7612,f7508])).
% 83.47/11.14 fof(f14243,plain,(
% 83.47/11.14 c_Message_Osynth(c_UNIV)=c_Message_Osynth(c_UNIV)|~class_Orderings_Oorder(tc_set(tc_Message_Omsg))),
% 83.47/11.14 inference(resolution,[status(thm)],[f7612,f1568])).
% 83.47/11.14 fof(f14244,definition,(
% 83.47/11.14 sQ66_spl <=> (c_Message_Osynth(c_UNIV)=c_Message_Osynth(c_UNIV))),
% 83.47/11.14 introduced(definition,[new_symbols(definition,[sQ66_spl])],[split_symbol_definition])).
% 83.47/11.14 fof(f14247,plain,(
% 83.47/11.14 sQ66_spl|~sQ65_spl),
% 83.47/11.14 inference(split_clause,[status(thm)],[f14243,f14244,f14225])).
% 83.47/11.14 fof(f14248,plain,(
% 83.47/11.14 $false|sQ65_spl),
% 83.47/11.14 inference(forward_subsumption_resolution,[status(thm)],[f14227,f1766])).
% 83.47/11.14 fof(f14249,plain,(
% 83.47/11.14 sQ65_spl),
% 83.47/11.14 inference(contradiction_clause,[status(thm)],[f14248])).
% 83.47/11.14 fof(f14280,definition,(
% 83.47/11.14 sQ68_spl <=> (c_UNIV=c_Message_Osynth(c_UNIV))),
% 83.47/11.14 introduced(definition,[new_symbols(definition,[sQ68_spl])],[split_symbol_definition])).
% 83.47/11.14 fof(f14281,plain,(
% 83.47/11.14 c_UNIV=c_Message_Osynth(c_UNIV)|~sQ68_spl),
% 83.47/11.14 inference(component_clause,[status(thm)],[f14280])).
% 83.47/11.14 fof(f14385,plain,(
% 83.47/11.14 c_Message_Oanalz(c_UNIV)=c_UNIV|~sQ68_spl),
% 83.47/11.14 inference(backward_demodulation,[status(thm)],[f14281,f14233])).
% 83.47/11.14 fof(f14404,definition,(
% 83.47/11.14 sQ71_spl <=> (c_lessequals(c_UNIV,c_UNIV,tc_set(tc_Message_Omsg)))),
% 83.47/11.14 introduced(definition,[new_symbols(definition,[sQ71_spl])],[split_symbol_definition])).
% 83.47/11.14 fof(f14406,plain,(
% 83.47/11.14 ~c_lessequals(c_UNIV,c_UNIV,tc_set(tc_Message_Omsg))|sQ71_spl),
% 83.47/11.14 inference(component_clause,[status(thm)],[f14404])).
% 83.47/11.14 fof(f14412,plain,(
% 83.47/11.14 ![X0]: (c_lessequals(X0,c_UNIV,tc_set(tc_Message_Omsg))|~sQ68_spl)),
% 83.47/11.14 inference(backward_demodulation,[status(thm)],[f14385,f7508])).
% 83.47/11.14 fof(f14448,definition,(
% 83.47/11.14 sQ72_spl <=> (c_UNIV=c_Message_Oanalz(c_UNIV))),
% 83.47/11.14 introduced(definition,[new_symbols(definition,[sQ72_spl])],[split_symbol_definition])).
% 83.47/11.14 fof(f14497,plain,(
% 83.47/11.14 ![X0]: (c_lessequals(c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),X0,tc_set(tc_Message_Omsg))|~sQ14_spl)),
% 83.47/11.14 inference(forward_demodulation,[status(thm)],[f8770,f8234])).
% 83.47/11.14 fof(f14578,definition,(
% 83.47/11.14 sQ74_spl <=> (c_lessequals(c_Message_Oparts(c_UNIV),c_UNIV,tc_set(tc_Message_Omsg)))),
% 83.47/11.14 introduced(definition,[new_symbols(definition,[sQ74_spl])],[split_symbol_definition])).
% 83.47/11.14 fof(f14580,plain,(
% 83.47/11.14 ~c_lessequals(c_Message_Oparts(c_UNIV),c_UNIV,tc_set(tc_Message_Omsg))|sQ74_spl),
% 83.47/11.14 inference(component_clause,[status(thm)],[f14578])).
% 83.47/11.14 fof(f14631,definition,(
% 83.47/11.14 sQ75_spl <=> (c_UNIV=c_Message_Oparts(c_UNIV))),
% 83.47/11.14 introduced(definition,[new_symbols(definition,[sQ75_spl])],[split_symbol_definition])).
% 83.47/11.14 fof(f14647,plain,(
% 83.47/11.14 sQ3_spl|~sQ14_spl),
% 83.47/11.14 inference(split_clause,[status(thm)],[f14497,f7565,f8233])).
% 83.47/11.14 fof(f14648,plain,(
% 83.47/11.14 $false|sQ71_spl),
% 83.47/11.14 inference(forward_subsumption_resolution,[status(thm)],[f14406,f1621])).
% 83.47/11.14 fof(f14649,plain,(
% 83.47/11.14 sQ71_spl),
% 83.47/11.14 inference(contradiction_clause,[status(thm)],[f14648])).
% 83.47/11.14 fof(f15526,plain,(
% 83.47/11.14 ![X0]: (~c_lessequals(c_UNIV,X0,tc_set(tc_Message_Omsg))|X0=c_UNIV|~sQ68_spl)),
% 83.47/11.14 inference(resolution,[status(thm)],[f14412,f1620])).
% 83.47/11.14 fof(f15727,definition,(
% 83.47/11.14 sQ76_spl <=> (c_in(c_UNIV,c_Finite__Set_OFinites,tc_set(tc_Message_Omsg)))),
% 83.47/11.14 introduced(definition,[new_symbols(definition,[sQ76_spl])],[split_symbol_definition])).
% 83.47/11.14 fof(f15960,plain,(
% 83.47/11.14 c_UNIV=c_UNIV|~class_Orderings_Oorder(tc_set(tc_Message_Omsg))|~sQ68_spl),
% 83.47/11.14 inference(resolution,[status(thm)],[f15526,f1568])).
% 83.47/11.14 fof(f15961,definition,(
% 83.47/11.14 sQ77_spl <=> (c_UNIV=c_UNIV)),
% 83.47/11.14 introduced(definition,[new_symbols(definition,[sQ77_spl])],[split_symbol_definition])).
% 83.47/11.14 fof(f15964,plain,(
% 83.47/11.14 sQ77_spl|~sQ65_spl|~sQ68_spl),
% 83.47/11.14 inference(split_clause,[status(thm)],[f15960,f15961,f14225,f14280])).
% 83.47/11.14 fof(f16278,plain,(
% 83.47/11.14 ![X0,X1]: (c_in(X0,c_Inter(c_emptyset,X1),X1))),
% 83.47/11.14 inference(resolution,[status(thm)],[f2917,f1600])).
% 83.47/11.14 fof(f17964,plain,(
% 83.47/11.14 c_UNIV=c_Message_Oanalz(c_UNIV)),
% 83.47/11.14 inference(resolution,[status(thm)],[f7480,f8759])).
% 83.47/11.14 fof(f17965,plain,(
% 83.47/11.14 c_UNIV=c_Message_Oparts(c_UNIV)),
% 83.47/11.14 inference(resolution,[status(thm)],[f7480,f8536])).
% 83.47/11.14 fof(f17967,plain,(
% 83.47/11.14 c_UNIV=c_Message_Osynth(c_UNIV)),
% 83.47/11.14 inference(resolution,[status(thm)],[f7480,f8533])).
% 83.47/11.14 fof(f17968,plain,(
% 83.47/11.14 ![X0,X1]: (~c_lessequals(c_UNIV,X0,tc_set(X1))|X0=c_UNIV)),
% 83.47/11.14 inference(resolution,[status(thm)],[f7480,f1620])).
% 83.47/11.14 fof(f18114,definition,(
% 83.47/11.14 sQ78_spl <=> (c_List_Olist_ONil=c_List_Olist_ONil)),
% 83.47/11.14 introduced(definition,[new_symbols(definition,[sQ78_spl])],[split_symbol_definition])).
% 83.47/11.14 fof(f18122,definition,(
% 83.47/11.14 ![X0]: (sQ79_spl <=> (~X0=X0))),
% 83.47/11.14 introduced(definition,[new_symbols(definition,[sQ79_spl])],[split_symbol_definition])).
% 83.47/11.14 fof(f18123,plain,(
% 83.47/11.14 ![X0]: (~X0=X0|~sQ79_spl)),
% 83.47/11.14 inference(component_clause,[status(thm)],[f18122])).
% 83.47/11.14 fof(f18126,plain,(
% 83.47/11.14 $false|~sQ79_spl),
% 83.47/11.14 inference(trivial_equality_resolution,[status(thm)],[f18123])).
% 83.47/11.14 fof(f18127,plain,(
% 83.47/11.14 ~sQ79_spl),
% 83.47/11.14 inference(contradiction_clause,[status(thm)],[f18126])).
% 83.47/11.14 fof(f18242,plain,(
% 83.47/11.14 ~c_emptyset=c_emptyset|c_List_Olist_ONil=c_List_Olist_ONil),
% 83.47/11.14 inference(paramodulation,[status(thm)],[f2811,f2810])).
% 83.47/11.14 fof(f18243,plain,(
% 83.47/11.14 ~sQ64_spl|sQ78_spl),
% 83.47/11.14 inference(split_clause,[status(thm)],[f18242,f14222,f18114])).
% 83.47/11.14 fof(f18330,plain,(
% 83.47/11.14 ![X0,X1,X2]: (c_lessequals(X0,c_insert(X1,c_Inter(c_emptyset,X2),X2),tc_set(X2)))),
% 83.47/11.14 inference(resolution,[status(thm)],[f16278,f7534])).
% 83.47/11.14 fof(f18331,plain,(
% 83.47/11.14 ![X0]: (c_lessequals(X0,c_Message_Oanalz(c_Inter(c_emptyset,tc_Message_Omsg)),tc_set(tc_Message_Omsg)))),
% 83.47/11.14 inference(resolution,[status(thm)],[f16278,f7532])).
% 83.47/11.14 fof(f18528,plain,(
% 83.47/11.14 ![X0]: (c_insert(X0,c_Inter(c_emptyset,tc_Message_Omsg),tc_Message_Omsg)=c_UNIV|~sQ68_spl)),
% 83.47/11.14 inference(resolution,[status(thm)],[f18330,f15526])).
% 83.47/11.14 fof(f18582,plain,(
% 83.47/11.14 ~c_in(c_Inter(c_emptyset,tc_Message_Omsg),c_Finite__Set_OFinites,tc_set(tc_Message_Omsg))|c_in(c_UNIV,c_Finite__Set_OFinites,tc_set(tc_Message_Omsg))|~sQ68_spl),
% 83.47/11.14 inference(paramodulation,[status(thm)],[f18528,f1520])).
% 83.47/11.14 fof(f18648,definition,(
% 83.47/11.14 sQ81_spl <=> (c_in(c_Inter(c_emptyset,tc_Message_Omsg),c_Finite__Set_OFinites,tc_set(tc_Message_Omsg)))),
% 83.47/11.14 introduced(definition,[new_symbols(definition,[sQ81_spl])],[split_symbol_definition])).
% 83.47/11.14 fof(f18651,plain,(
% 83.47/11.14 ~sQ81_spl|sQ76_spl|~sQ68_spl),
% 83.47/11.14 inference(split_clause,[status(thm)],[f18582,f18648,f15727,f14280])).
% 83.47/11.14 fof(f18676,plain,(
% 83.47/11.14 c_0=c_0|~class_Orderings_Oorder(tc_nat)),
% 83.47/11.14 inference(resolution,[status(thm)],[f2833,f1568])).
% 83.47/11.14 fof(f18677,definition,(
% 83.47/11.14 sQ82_spl <=> (c_0=c_0)),
% 83.47/11.14 introduced(definition,[new_symbols(definition,[sQ82_spl])],[split_symbol_definition])).
% 83.47/11.14 fof(f18680,definition,(
% 83.47/11.14 sQ83_spl <=> (class_Orderings_Oorder(tc_nat))),
% 83.47/11.14 introduced(definition,[new_symbols(definition,[sQ83_spl])],[split_symbol_definition])).
% 83.47/11.14 fof(f18682,plain,(
% 83.47/11.14 ~class_Orderings_Oorder(tc_nat)|sQ83_spl),
% 83.47/11.14 inference(component_clause,[status(thm)],[f18680])).
% 83.47/11.14 fof(f18683,plain,(
% 83.47/11.14 sQ82_spl|~sQ83_spl),
% 83.47/11.14 inference(split_clause,[status(thm)],[f18676,f18677,f18680])).
% 83.47/11.14 fof(f18753,plain,(
% 83.47/11.14 c_Message_Oanalz(c_Inter(c_emptyset,tc_Message_Omsg))=c_UNIV|~sQ68_spl),
% 83.47/11.14 inference(resolution,[status(thm)],[f18331,f15526])).
% 83.47/11.14 fof(f18768,plain,(
% 83.47/11.14 c_less(c_Inter(c_emptyset,tc_Message_Omsg),c_UNIV,tc_set(tc_Message_Omsg))|c_Inter(c_emptyset,tc_Message_Omsg)=c_Message_Oanalz(c_Inter(c_emptyset,tc_Message_Omsg))|~sQ68_spl),
% 83.47/11.14 inference(paramodulation,[status(thm)],[f18753,f8761])).
% 83.47/11.14 fof(f18771,plain,(
% 83.47/11.14 ~c_lessequals(c_UNIV,c_Inter(c_emptyset,tc_Message_Omsg),tc_set(tc_Message_Omsg))|c_Inter(c_emptyset,tc_Message_Omsg)=c_Message_Oanalz(c_Inter(c_emptyset,tc_Message_Omsg))|~sQ68_spl),
% 83.47/11.14 inference(paramodulation,[status(thm)],[f18753,f8759])).
% 83.47/11.14 fof(f18806,definition,(
% 83.47/11.14 sQ85_spl <=> (c_less(c_Inter(c_emptyset,tc_Message_Omsg),c_UNIV,tc_set(tc_Message_Omsg)))),
% 83.47/11.14 introduced(definition,[new_symbols(definition,[sQ85_spl])],[split_symbol_definition])).
% 83.47/11.14 fof(f18809,definition,(
% 83.47/11.14 sQ86_spl <=> (c_Inter(c_emptyset,tc_Message_Omsg)=c_Message_Oanalz(c_Inter(c_emptyset,tc_Message_Omsg)))),
% 83.47/11.14 introduced(definition,[new_symbols(definition,[sQ86_spl])],[split_symbol_definition])).
% 83.47/11.14 fof(f18812,plain,(
% 83.47/11.14 sQ85_spl|sQ86_spl|~sQ68_spl),
% 83.47/11.14 inference(split_clause,[status(thm)],[f18768,f18806,f18809,f14280])).
% 83.47/11.14 fof(f18817,definition,(
% 83.47/11.14 sQ87_spl <=> (c_lessequals(c_UNIV,c_Inter(c_emptyset,tc_Message_Omsg),tc_set(tc_Message_Omsg)))),
% 83.47/11.14 introduced(definition,[new_symbols(definition,[sQ87_spl])],[split_symbol_definition])).
% 83.47/11.14 fof(f18820,plain,(
% 83.47/11.14 ~sQ87_spl|sQ86_spl|~sQ68_spl),
% 83.47/11.14 inference(split_clause,[status(thm)],[f18771,f18817,f18809,f14280])).
% 83.47/11.14 fof(f18861,plain,(
% 83.47/11.14 $false|sQ74_spl),
% 83.47/11.14 inference(forward_subsumption_resolution,[status(thm)],[f14580,f7480])).
% 83.47/11.14 fof(f18862,plain,(
% 83.47/11.14 sQ74_spl),
% 83.47/11.14 inference(contradiction_clause,[status(thm)],[f18861])).
% 83.47/11.14 fof(f18882,plain,(
% 83.47/11.14 ~c_lessequals(c_UNIV,c_UNIV,tc_set(tc_Message_Omsg))|c_UNIV=c_Message_Osynth(c_UNIV)),
% 83.47/11.14 inference(paramodulation,[status(thm)],[f17967,f8533])).
% 83.47/11.14 fof(f18892,plain,(
% 83.47/11.14 ~sQ71_spl|sQ68_spl),
% 83.47/11.14 inference(split_clause,[status(thm)],[f18882,f14404,f14280])).
% 81.75/11.15 fof(f18900,plain,(
% 81.75/11.15 ~c_lessequals(c_UNIV,c_UNIV,tc_set(tc_Message_Omsg))|c_UNIV=c_Message_Oparts(c_UNIV)),
% 81.75/11.15 inference(paramodulation,[status(thm)],[f17965,f8536])).
% 81.75/11.15 fof(f18917,plain,(
% 81.75/11.15 ~sQ71_spl|sQ75_spl),
% 81.75/11.15 inference(split_clause,[status(thm)],[f18900,f14404,f14631])).
% 81.75/11.15 fof(f18932,plain,(
% 81.75/11.15 ~c_lessequals(c_UNIV,c_UNIV,tc_set(tc_Message_Omsg))|c_UNIV=c_Message_Oanalz(c_UNIV)),
% 81.75/11.15 inference(paramodulation,[status(thm)],[f17964,f8759])).
% 81.75/11.15 fof(f18969,plain,(
% 81.75/11.15 ~sQ71_spl|sQ72_spl),
% 81.75/11.15 inference(split_clause,[status(thm)],[f18932,f14404,f14448])).
% 81.75/11.15 fof(f19499,plain,(
% 81.75/11.15 ![X0,X1,X2]: (c_lessequals(c_insert(X0,c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_Message_Omsg),X1,tc_set(tc_Message_Omsg))|c_Main_OsubsetI__1(c_insert(X0,c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_Message_Omsg),X1,tc_Message_Omsg)=X0|~c_in(X2,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_Main_OsubsetI__1(c_insert(X0,c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_Message_Omsg),X1,tc_Message_Omsg)),c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_Message_Omsg))),
% 81.75/11.15 inference(resolution,[status(thm)],[f8745,f3017])).
% 81.75/11.15 fof(f19501,plain,(
% 81.75/11.15 ![X0,X1,X2]: (c_lessequals(c_insert(X0,c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_Message_Omsg),X1,tc_set(tc_Message_Omsg))|c_Main_OsubsetI__1(c_insert(X0,c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_Message_Omsg),X1,tc_Message_Omsg)=X0|~c_in(X2,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_Main_OsubsetI__1(c_insert(X0,c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_Message_Omsg),X1,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))),
% 81.75/11.15 inference(resolution,[status(thm)],[f8745,f3962])).
% 81.75/11.15 fof(f19502,plain,(
% 81.75/11.15 ![X0,X1,X2]: (c_lessequals(c_insert(X0,c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_Message_Omsg),X1,tc_set(tc_Message_Omsg))|c_Main_OsubsetI__1(c_insert(X0,c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_Message_Omsg),X1,tc_Message_Omsg)=X0|~c_in(X2,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_Main_OsubsetI__1(c_insert(X0,c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_Message_Omsg),X1,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))),
% 81.75/11.15 inference(resolution,[status(thm)],[f8745,f3190])).
% 81.75/11.15 fof(f19503,plain,(
% 81.75/11.15 ![X0,X1,X2]: (c_lessequals(c_insert(X0,c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_Message_Omsg),X1,tc_set(tc_Message_Omsg))|c_Main_OsubsetI__1(c_insert(X0,c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_Message_Omsg),X1,tc_Message_Omsg)=X0|~c_in(X2,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_Main_OsubsetI__1(c_insert(X0,c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_Message_Omsg),X1,tc_Message_Omsg)),c_Message_Oparts(c_Message_Osynth(c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))))),tc_Message_Omsg))),
% 81.75/11.15 inference(resolution,[status(thm)],[f8745,f3184])).
% 81.75/11.15 fof(f19506,plain,(
% 81.75/11.15 ![X0,X1,X2]: (c_lessequals(c_insert(X0,c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_Message_Omsg),X1,tc_set(tc_Message_Omsg))|c_Main_OsubsetI__1(c_insert(X0,c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_Message_Omsg),X1,tc_Message_Omsg)=X0|~c_in(X2,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_Main_OsubsetI__1(c_insert(X0,c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_Message_Omsg),X1,tc_Message_Omsg)),c_Message_Oanalz(c_Message_Osynth(c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))))),tc_Message_Omsg))),
% 81.75/11.15 inference(resolution,[status(thm)],[f8745,f3151])).
% 81.75/11.15 fof(f19508,plain,(
% 81.75/11.15 ![X0,X1,X2]: (c_lessequals(c_insert(X0,c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_Message_Omsg),X1,tc_set(tc_Message_Omsg))|c_Main_OsubsetI__1(c_insert(X0,c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_Message_Omsg),X1,tc_Message_Omsg)=X0|~c_in(X2,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_Main_OsubsetI__1(c_insert(X0,c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_Message_Omsg),X1,tc_Message_Omsg)),c_Message_Oparts(c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)))),tc_Message_Omsg))),
% 81.75/11.15 inference(resolution,[status(thm)],[f8745,f3170])).
% 81.75/11.15 fof(f19510,plain,(
% 81.75/11.15 ![X0,X1,X2]: (c_lessequals(c_insert(X0,c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_Message_Omsg),X1,tc_set(tc_Message_Omsg))|c_Main_OsubsetI__1(c_insert(X0,c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_Message_Omsg),X1,tc_Message_Omsg)=X0|~c_in(X2,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_Main_OsubsetI__1(c_insert(X0,c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_Message_Omsg),X1,tc_Message_Omsg)),c_Message_Oanalz(c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)))),tc_Message_Omsg))),
% 81.75/11.15 inference(resolution,[status(thm)],[f8745,f3140])).
% 81.75/11.15 fof(f19518,definition,(
% 81.75/11.15 ![X0,X1]: (sQ89_spl <=> (c_lessequals(c_insert(X0,c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_Message_Omsg),X1,tc_set(tc_Message_Omsg))|c_Main_OsubsetI__1(c_insert(X0,c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_Message_Omsg),X1,tc_Message_Omsg)=X0|c_in(c_Message_Omsg_OMPair(v_X,c_Main_OsubsetI__1(c_insert(X0,c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_Message_Omsg),X1,tc_Message_Omsg)),c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_Message_Omsg)))),
% 81.75/11.15 introduced(definition,[new_symbols(definition,[sQ89_spl])],[split_symbol_definition])).
% 81.75/11.15 fof(f19521,plain,(
% 81.75/11.15 sQ89_spl|sQ49_spl),
% 81.75/11.15 inference(split_clause,[status(thm)],[f19499,f19518,f11041])).
% 81.75/11.15 fof(f19523,definition,(
% 81.75/11.15 ![X0,X1]: (sQ90_spl <=> (c_lessequals(c_insert(X0,c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_Message_Omsg),X1,tc_set(tc_Message_Omsg))|c_Main_OsubsetI__1(c_insert(X0,c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_Message_Omsg),X1,tc_Message_Omsg)=X0|c_in(c_Message_Omsg_OMPair(v_X,c_Main_OsubsetI__1(c_insert(X0,c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_Message_Omsg),X1,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)))),
% 81.75/11.15 introduced(definition,[new_symbols(definition,[sQ90_spl])],[split_symbol_definition])).
% 81.75/11.15 fof(f19526,plain,(
% 81.75/11.15 sQ90_spl|sQ49_spl),
% 81.75/11.15 inference(split_clause,[status(thm)],[f19501,f19523,f11041])).
% 81.75/11.15 fof(f19527,definition,(
% 81.75/11.15 ![X0,X1]: (sQ91_spl <=> (c_lessequals(c_insert(X0,c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_Message_Omsg),X1,tc_set(tc_Message_Omsg))|c_Main_OsubsetI__1(c_insert(X0,c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_Message_Omsg),X1,tc_Message_Omsg)=X0|c_in(c_Message_Omsg_OMPair(v_X,c_Main_OsubsetI__1(c_insert(X0,c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_Message_Omsg),X1,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)))),
% 81.75/11.15 introduced(definition,[new_symbols(definition,[sQ91_spl])],[split_symbol_definition])).
% 81.75/11.15 fof(f19530,plain,(
% 81.75/11.15 sQ91_spl|sQ49_spl),
% 81.75/11.15 inference(split_clause,[status(thm)],[f19502,f19527,f11041])).
% 81.75/11.15 fof(f19531,definition,(
% 81.75/11.15 ![X0,X1]: (sQ92_spl <=> (c_lessequals(c_insert(X0,c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_Message_Omsg),X1,tc_set(tc_Message_Omsg))|c_Main_OsubsetI__1(c_insert(X0,c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_Message_Omsg),X1,tc_Message_Omsg)=X0|c_in(c_Message_Omsg_OMPair(v_X,c_Main_OsubsetI__1(c_insert(X0,c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_Message_Omsg),X1,tc_Message_Omsg)),c_Message_Oparts(c_Message_Osynth(c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))))),tc_Message_Omsg)))),
% 81.75/11.15 introduced(definition,[new_symbols(definition,[sQ92_spl])],[split_symbol_definition])).
% 81.75/11.15 fof(f19534,plain,(
% 81.75/11.15 sQ92_spl|sQ49_spl),
% 81.75/11.15 inference(split_clause,[status(thm)],[f19503,f19531,f11041])).
% 81.75/11.15 fof(f19537,definition,(
% 81.75/11.15 ![X0,X1]: (sQ93_spl <=> (c_lessequals(c_insert(X0,c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_Message_Omsg),X1,tc_set(tc_Message_Omsg))|c_Main_OsubsetI__1(c_insert(X0,c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_Message_Omsg),X1,tc_Message_Omsg)=X0|c_in(c_Message_Omsg_OMPair(v_X,c_Main_OsubsetI__1(c_insert(X0,c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_Message_Omsg),X1,tc_Message_Omsg)),c_Message_Oanalz(c_Message_Osynth(c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))))),tc_Message_Omsg)))),
% 81.75/11.15 introduced(definition,[new_symbols(definition,[sQ93_spl])],[split_symbol_definition])).
% 81.75/11.15 fof(f19540,plain,(
% 81.75/11.15 sQ93_spl|sQ49_spl),
% 81.75/11.15 inference(split_clause,[status(thm)],[f19506,f19537,f11041])).
% 81.75/11.15 fof(f19542,definition,(
% 81.75/11.15 ![X0,X1]: (sQ94_spl <=> (c_lessequals(c_insert(X0,c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_Message_Omsg),X1,tc_set(tc_Message_Omsg))|c_Main_OsubsetI__1(c_insert(X0,c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_Message_Omsg),X1,tc_Message_Omsg)=X0|c_in(c_Message_Omsg_OMPair(v_X,c_Main_OsubsetI__1(c_insert(X0,c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_Message_Omsg),X1,tc_Message_Omsg)),c_Message_Oparts(c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)))),tc_Message_Omsg)))),
% 81.75/11.15 introduced(definition,[new_symbols(definition,[sQ94_spl])],[split_symbol_definition])).
% 81.75/11.15 fof(f19545,plain,(
% 81.75/11.15 sQ94_spl|sQ49_spl),
% 81.75/11.15 inference(split_clause,[status(thm)],[f19508,f19542,f11041])).
% 81.75/11.15 fof(f19547,definition,(
% 81.75/11.15 ![X0,X1]: (sQ95_spl <=> (c_lessequals(c_insert(X0,c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_Message_Omsg),X1,tc_set(tc_Message_Omsg))|c_Main_OsubsetI__1(c_insert(X0,c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_Message_Omsg),X1,tc_Message_Omsg)=X0|c_in(c_Message_Omsg_OMPair(v_X,c_Main_OsubsetI__1(c_insert(X0,c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_Message_Omsg),X1,tc_Message_Omsg)),c_Message_Oanalz(c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)))),tc_Message_Omsg)))),
% 81.75/11.15 introduced(definition,[new_symbols(definition,[sQ95_spl])],[split_symbol_definition])).
% 81.75/11.15 fof(f19550,plain,(
% 81.75/11.15 sQ95_spl|sQ49_spl),
% 81.75/11.15 inference(split_clause,[status(thm)],[f19510,f19547,f11041])).
% 81.75/11.15 fof(f19646,plain,(
% 81.75/11.15 ![X0]: (c_lessequals(X0,X0,tc_nat)|~class_Orderings_Oorder(tc_nat))),
% 81.75/11.15 inference(resolution,[status(thm)],[f2816,f1568])).
% 81.75/11.15 fof(f19647,definition,(
% 81.75/11.15 ![X0]: (sQ96_spl <=> (c_lessequals(X0,X0,tc_nat)))),
% 81.75/11.15 introduced(definition,[new_symbols(definition,[sQ96_spl])],[split_symbol_definition])).
% 81.75/11.15 fof(f19648,plain,(
% 81.75/11.15 ![X0]: (c_lessequals(X0,X0,tc_nat)|~sQ96_spl)),
% 81.75/11.15 inference(component_clause,[status(thm)],[f19647])).
% 81.75/11.15 fof(f19650,plain,(
% 81.75/11.15 sQ96_spl|~sQ83_spl),
% 81.75/11.15 inference(split_clause,[status(thm)],[f19646,f19647,f18680])).
% 81.75/11.15 fof(f19651,plain,(
% 81.75/11.15 $false|sQ83_spl),
% 81.75/11.15 inference(forward_subsumption_resolution,[status(thm)],[f18682,f1737])).
% 81.75/11.15 fof(f19652,plain,(
% 81.75/11.15 sQ83_spl),
% 81.75/11.15 inference(contradiction_clause,[status(thm)],[f19651])).
% 81.75/11.15 fof(f19742,plain,(
% 81.75/11.15 ![X0]: (~c_less(X0,X0,tc_nat)|~class_Orderings_Oorder(tc_nat))),
% 81.75/11.15 inference(resolution,[status(thm)],[f2819,f2847])).
% 81.75/11.15 fof(f19743,definition,(
% 81.75/11.15 ![X0]: (sQ97_spl <=> (~c_less(X0,X0,tc_nat)))),
% 81.75/11.15 introduced(definition,[new_symbols(definition,[sQ97_spl])],[split_symbol_definition])).
% 81.75/11.15 fof(f19746,plain,(
% 81.75/11.15 sQ97_spl|~sQ83_spl),
% 81.75/11.15 inference(split_clause,[status(thm)],[f19742,f19743,f18680])).
% 81.75/11.15 fof(f20059,plain,(
% 81.75/11.15 ![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,v_X),c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_Message_Omsg))),
% 81.75/11.15 inference(resolution,[status(thm)],[f3275,f3017])).
% 81.75/11.15 fof(f20061,plain,(
% 81.75/11.15 ![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,v_X),c_Message_Osynth(c_Message_Oanalz(c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))))),tc_Message_Omsg))),
% 81.75/11.15 inference(resolution,[status(thm)],[f3275,f3962])).
% 81.75/11.15 fof(f20062,plain,(
% 81.75/11.15 ![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,v_X),c_Message_Oparts(c_Message_Oanalz(c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))))),tc_Message_Omsg))),
% 81.75/11.15 inference(resolution,[status(thm)],[f3275,f3190])).
% 81.75/11.15 fof(f20063,plain,(
% 81.75/11.15 ![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,v_X),c_Message_Oparts(c_Message_Osynth(c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))))),tc_Message_Omsg))),
% 81.75/11.15 inference(resolution,[status(thm)],[f3275,f3184])).
% 81.75/11.15 fof(f20066,plain,(
% 81.75/11.15 ![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,v_X),c_Message_Oanalz(c_Message_Osynth(c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))))),tc_Message_Omsg))),
% 81.75/11.15 inference(resolution,[status(thm)],[f3275,f3151])).
% 81.75/11.15 fof(f20068,plain,(
% 81.75/11.15 ![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,v_X),c_Message_Oparts(c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)))),tc_Message_Omsg))),
% 81.75/11.15 inference(resolution,[status(thm)],[f3275,f3170])).
% 81.75/11.15 fof(f20070,plain,(
% 81.75/11.15 ![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,v_X),c_Message_Oanalz(c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)))),tc_Message_Omsg))),
% 81.75/11.15 inference(resolution,[status(thm)],[f3275,f3140])).
% 81.75/11.15 fof(f20077,definition,(
% 81.75/11.15 sQ101_spl <=> (c_in(c_Message_Omsg_OMPair(v_X,v_X),c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_Message_Omsg))),
% 81.75/11.15 introduced(definition,[new_symbols(definition,[sQ101_spl])],[split_symbol_definition])).
% 81.75/11.15 fof(f20080,plain,(
% 81.75/11.15 sQ49_spl|sQ101_spl),
% 81.75/11.15 inference(split_clause,[status(thm)],[f20059,f11041,f20077])).
% 81.75/11.15 fof(f20081,definition,(
% 81.75/11.15 sQ102_spl <=> (c_in(c_Message_Omsg_OMPair(v_X,v_X),c_Message_Osynth(c_Message_Oanalz(c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))))),tc_Message_Omsg))),
% 81.75/11.15 introduced(definition,[new_symbols(definition,[sQ102_spl])],[split_symbol_definition])).
% 81.75/11.15 fof(f20084,plain,(
% 81.75/11.15 sQ49_spl|sQ102_spl),
% 81.75/11.15 inference(split_clause,[status(thm)],[f20061,f11041,f20081])).
% 81.75/11.15 fof(f20085,definition,(
% 81.75/11.15 sQ103_spl <=> (c_in(c_Message_Omsg_OMPair(v_X,v_X),c_Message_Oparts(c_Message_Oanalz(c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))))),tc_Message_Omsg))),
% 81.75/11.15 introduced(definition,[new_symbols(definition,[sQ103_spl])],[split_symbol_definition])).
% 81.75/11.15 fof(f20088,plain,(
% 81.75/11.15 sQ49_spl|sQ103_spl),
% 81.75/11.15 inference(split_clause,[status(thm)],[f20062,f11041,f20085])).
% 81.75/11.15 fof(f20089,definition,(
% 81.75/11.15 sQ104_spl <=> (c_in(c_Message_Omsg_OMPair(v_X,v_X),c_Message_Oparts(c_Message_Osynth(c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))))),tc_Message_Omsg))),
% 81.75/11.15 introduced(definition,[new_symbols(definition,[sQ104_spl])],[split_symbol_definition])).
% 81.75/11.15 fof(f20092,plain,(
% 81.75/11.15 sQ49_spl|sQ104_spl),
% 81.75/11.15 inference(split_clause,[status(thm)],[f20063,f11041,f20089])).
% 81.75/11.15 fof(f20094,definition,(
% 81.75/11.15 sQ105_spl <=> (c_in(c_Message_Omsg_OMPair(v_X,v_X),c_Message_Oanalz(c_Message_Osynth(c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))))),tc_Message_Omsg))),
% 81.75/11.15 introduced(definition,[new_symbols(definition,[sQ105_spl])],[split_symbol_definition])).
% 81.75/11.15 fof(f20097,plain,(
% 81.75/11.15 sQ49_spl|sQ105_spl),
% 81.75/11.15 inference(split_clause,[status(thm)],[f20066,f11041,f20094])).
% 81.75/11.15 fof(f20099,definition,(
% 81.75/11.15 sQ106_spl <=> (c_in(c_Message_Omsg_OMPair(v_X,v_X),c_Message_Oparts(c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)))),tc_Message_Omsg))),
% 81.75/11.15 introduced(definition,[new_symbols(definition,[sQ106_spl])],[split_symbol_definition])).
% 81.75/11.15 fof(f20102,plain,(
% 81.75/11.15 sQ49_spl|sQ106_spl),
% 81.75/11.15 inference(split_clause,[status(thm)],[f20068,f11041,f20099])).
% 81.75/11.15 fof(f20103,definition,(
% 81.75/11.15 sQ107_spl <=> (c_in(c_Message_Omsg_OMPair(v_X,v_X),c_Message_Oanalz(c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)))),tc_Message_Omsg))),
% 81.75/11.15 introduced(definition,[new_symbols(definition,[sQ107_spl])],[split_symbol_definition])).
% 81.75/11.15 fof(f20106,plain,(
% 81.75/11.15 sQ49_spl|sQ107_spl),
% 81.75/11.15 inference(split_clause,[status(thm)],[f20070,f11041,f20103])).
% 81.75/11.15 fof(f21215,plain,(
% 81.75/11.15 ![X0,X1]: (c_insert(X0,c_UNIV,X1)=c_UNIV)),
% 81.75/11.15 inference(resolution,[status(thm)],[f17968,f8640])).
% 81.75/11.15 fof(f21550,plain,(
% 81.75/11.15 ![X0,X1]: (~class_Orderings_Olinorder(X0)|X1=X1)),
% 81.75/11.15 inference(equality_resolution,[status(thm)],[f2860])).
% 81.75/11.15 fof(f21551,definition,(
% 81.75/11.15 ![X0]: (sQ109_spl <=> (~class_Orderings_Olinorder(X0)))),
% 81.75/11.15 introduced(definition,[new_symbols(definition,[sQ109_spl])],[split_symbol_definition])).
% 81.75/11.15 fof(f21552,plain,(
% 81.75/11.15 ![X0]: (~class_Orderings_Olinorder(X0)|~sQ109_spl)),
% 81.75/11.15 inference(component_clause,[status(thm)],[f21551])).
% 81.75/11.15 fof(f21554,definition,(
% 81.75/11.15 ![X1]: (sQ110_spl <=> (X1=X1))),
% 81.75/11.15 introduced(definition,[new_symbols(definition,[sQ110_spl])],[split_symbol_definition])).
% 81.75/11.15 fof(f21557,plain,(
% 81.75/11.15 sQ109_spl|sQ110_spl),
% 81.75/11.15 inference(split_clause,[status(thm)],[f21550,f21551,f21554])).
% 81.75/11.15 fof(f21737,plain,(
% 81.75/11.15 $false|~sQ109_spl),
% 81.75/11.15 inference(backward_subsumption_resolution,[status(thm)],[f1759,f21552])).
% 81.75/11.15 fof(f21740,plain,(
% 81.75/11.15 ~sQ109_spl),
% 81.75/11.15 inference(contradiction_clause,[status(thm)],[f21737])).
% 81.75/11.15 fof(f21748,plain,(
% 81.75/11.15 ![X0,X1]: (~class_Orderings_Oord(tc_nat)|c_in(c_Suc(X0),c_SetInterval_OatLeast(c_Suc(X1),tc_nat),tc_nat)|~c_lessequals(X1,X0,tc_nat))),
% 81.75/11.15 inference(resolution,[status(thm)],[f2862,f2817])).
% 81.75/11.15 fof(f21750,plain,(
% 81.75/11.15 ![X0]: (~class_Orderings_Oord(tc_set(tc_Message_Omsg))|c_in(c_Message_Osynth(c_Message_Oparts(c_Message_Oanalz(X0))),c_SetInterval_OatLeast(c_Message_Oanalz(X0),tc_set(tc_Message_Omsg)),tc_set(tc_Message_Omsg)))),
% 81.75/11.15 inference(resolution,[status(thm)],[f2862,f9645])).
% 81.75/11.15 fof(f21751,plain,(
% 81.75/11.15 ![X0]: (~class_Orderings_Oord(tc_set(tc_Message_Omsg))|c_in(c_Message_Osynth(c_Message_Oparts(X0)),c_SetInterval_OatLeast(c_Message_Oanalz(X0),tc_set(tc_Message_Omsg)),tc_set(tc_Message_Omsg)))),
% 81.75/11.15 inference(resolution,[status(thm)],[f2862,f8407])).
% 81.75/11.15 fof(f21752,plain,(
% 81.75/11.15 ![X0]: (~class_Orderings_Oord(tc_set(tc_Message_Omsg))|c_in(c_Message_Oparts(X0),c_SetInterval_OatLeast(c_Message_Oanalz(X0),tc_set(tc_Message_Omsg)),tc_set(tc_Message_Omsg)))),
% 81.75/11.15 inference(resolution,[status(thm)],[f2862,f7859])).
% 81.75/11.15 fof(f21754,plain,(
% 81.75/11.15 ![X0]: (~class_Orderings_Oord(tc_nat)|c_in(X0,c_SetInterval_OatLeast(c_0,tc_nat),tc_nat))),
% 81.75/11.15 inference(resolution,[status(thm)],[f2862,f1563])).
% 81.75/11.15 fof(f21755,plain,(
% 81.75/11.15 ![X0,X1]: (~class_Orderings_Oord(tc_nat)|c_in(c_Nat_Osize(X0,tc_List_Olist(X1)),c_SetInterval_OatLeast(c_Nat_Osize(c_List_Oremdups(X0,X1),tc_List_Olist(X1)),tc_nat),tc_nat))),
% 81.75/11.15 inference(resolution,[status(thm)],[f2862,f1544])).
% 81.75/11.15 fof(f21756,plain,(
% 81.75/11.15 ![X0,X1]: (~class_Orderings_Oord(tc_IntDef_Oint)|c_in(c_IntDef_Oint(X0),c_SetInterval_OatLeast(c_uminus(c_IntDef_Oint(X1),tc_IntDef_Oint),tc_IntDef_Oint),tc_IntDef_Oint))),
% 81.75/11.15 inference(resolution,[status(thm)],[f2862,f1531])).
% 81.75/11.15 fof(f21758,plain,(
% 81.75/11.15 ![X0]: (~class_Orderings_Oord(tc_set(tc_Message_Omsg))|c_in(c_Message_Oanalz(X0),c_SetInterval_OatLeast(X0,tc_set(tc_Message_Omsg)),tc_set(tc_Message_Omsg)))),
% 81.75/11.15 inference(resolution,[status(thm)],[f2862,f8628])).
% 81.75/11.15 fof(f21759,plain,(
% 81.75/11.15 ![X0]: (~class_Orderings_Oord(tc_set(tc_Message_Omsg))|c_in(c_Message_Oparts(X0),c_SetInterval_OatLeast(X0,tc_set(tc_Message_Omsg)),tc_set(tc_Message_Omsg)))),
% 81.75/11.15 inference(resolution,[status(thm)],[f2862,f8487])).
% 81.75/11.15 fof(f21760,plain,(
% 81.75/11.15 ![X0]: (~class_Orderings_Oord(tc_set(tc_Message_Omsg))|c_in(c_Message_Osynth(X0),c_SetInterval_OatLeast(X0,tc_set(tc_Message_Omsg)),tc_set(tc_Message_Omsg)))),
% 81.75/11.15 inference(resolution,[status(thm)],[f2862,f8409])).
% 81.75/11.15 fof(f21764,plain,(
% 81.75/11.15 ![X0]: (~class_Orderings_Oord(tc_nat)|c_in(X0,c_SetInterval_OatLeast(X0,tc_nat),tc_nat)|~sQ96_spl)),
% 81.75/11.15 inference(resolution,[status(thm)],[f2862,f19648])).
% 81.75/11.15 fof(f21767,definition,(
% 81.75/11.15 sQ111_spl <=> (class_Orderings_Oord(tc_nat))),
% 81.75/11.15 introduced(definition,[new_symbols(definition,[sQ111_spl])],[split_symbol_definition])).
% 81.75/11.15 fof(f21769,plain,(
% 81.75/11.15 ~class_Orderings_Oord(tc_nat)|sQ111_spl),
% 81.75/11.15 inference(component_clause,[status(thm)],[f21767])).
% 81.75/11.15 fof(f21770,definition,(
% 81.75/11.15 ![X0,X1]: (sQ112_spl <=> (c_in(c_Suc(X0),c_SetInterval_OatLeast(c_Suc(X1),tc_nat),tc_nat)|~c_lessequals(X1,X0,tc_nat)))),
% 81.75/11.15 introduced(definition,[new_symbols(definition,[sQ112_spl])],[split_symbol_definition])).
% 81.75/11.15 fof(f21773,plain,(
% 81.75/11.15 ~sQ111_spl|sQ112_spl),
% 81.75/11.15 inference(split_clause,[status(thm)],[f21748,f21767,f21770])).
% 81.75/11.15 fof(f21775,definition,(
% 81.75/11.15 sQ113_spl <=> (class_Orderings_Oord(tc_set(tc_Message_Omsg)))),
% 81.75/11.15 introduced(definition,[new_symbols(definition,[sQ113_spl])],[split_symbol_definition])).
% 81.75/11.15 fof(f21777,plain,(
% 81.75/11.15 ~class_Orderings_Oord(tc_set(tc_Message_Omsg))|sQ113_spl),
% 81.75/11.15 inference(component_clause,[status(thm)],[f21775])).
% 81.75/11.15 fof(f21778,definition,(
% 81.75/11.15 ![X0]: (sQ114_spl <=> (c_in(c_Message_Osynth(c_Message_Oparts(c_Message_Oanalz(X0))),c_SetInterval_OatLeast(c_Message_Oanalz(X0),tc_set(tc_Message_Omsg)),tc_set(tc_Message_Omsg))))),
% 81.75/11.15 introduced(definition,[new_symbols(definition,[sQ114_spl])],[split_symbol_definition])).
% 81.75/11.15 fof(f21781,plain,(
% 81.75/11.15 ~sQ113_spl|sQ114_spl),
% 81.75/11.15 inference(split_clause,[status(thm)],[f21750,f21775,f21778])).
% 81.75/11.15 fof(f21782,definition,(
% 81.75/11.15 ![X0]: (sQ115_spl <=> (c_in(c_Message_Osynth(c_Message_Oparts(X0)),c_SetInterval_OatLeast(c_Message_Oanalz(X0),tc_set(tc_Message_Omsg)),tc_set(tc_Message_Omsg))))),
% 81.75/11.15 introduced(definition,[new_symbols(definition,[sQ115_spl])],[split_symbol_definition])).
% 81.75/11.15 fof(f21785,plain,(
% 81.75/11.15 ~sQ113_spl|sQ115_spl),
% 81.75/11.15 inference(split_clause,[status(thm)],[f21751,f21775,f21782])).
% 81.75/11.15 fof(f21786,definition,(
% 81.75/11.15 ![X0]: (sQ116_spl <=> (c_in(c_Message_Oparts(X0),c_SetInterval_OatLeast(c_Message_Oanalz(X0),tc_set(tc_Message_Omsg)),tc_set(tc_Message_Omsg))))),
% 81.75/11.15 introduced(definition,[new_symbols(definition,[sQ116_spl])],[split_symbol_definition])).
% 81.75/11.15 fof(f21789,plain,(
% 81.75/11.15 ~sQ113_spl|sQ116_spl),
% 81.75/11.15 inference(split_clause,[status(thm)],[f21752,f21775,f21786])).
% 81.75/11.15 fof(f21791,definition,(
% 81.75/11.15 ![X0]: (sQ117_spl <=> (c_in(X0,c_SetInterval_OatLeast(c_0,tc_nat),tc_nat)))),
% 81.75/11.15 introduced(definition,[new_symbols(definition,[sQ117_spl])],[split_symbol_definition])).
% 81.75/11.15 fof(f21792,plain,(
% 81.75/11.15 ![X0]: (c_in(X0,c_SetInterval_OatLeast(c_0,tc_nat),tc_nat)|~sQ117_spl)),
% 81.75/11.15 inference(component_clause,[status(thm)],[f21791])).
% 81.75/11.15 fof(f21794,plain,(
% 81.75/11.15 ~sQ111_spl|sQ117_spl),
% 81.75/11.15 inference(split_clause,[status(thm)],[f21754,f21767,f21791])).
% 81.75/11.15 fof(f21795,definition,(
% 81.75/11.15 ![X0,X1]: (sQ118_spl <=> (c_in(c_Nat_Osize(X0,tc_List_Olist(X1)),c_SetInterval_OatLeast(c_Nat_Osize(c_List_Oremdups(X0,X1),tc_List_Olist(X1)),tc_nat),tc_nat)))),
% 81.75/11.15 introduced(definition,[new_symbols(definition,[sQ118_spl])],[split_symbol_definition])).
% 81.75/11.15 fof(f21798,plain,(
% 81.75/11.15 ~sQ111_spl|sQ118_spl),
% 81.75/11.15 inference(split_clause,[status(thm)],[f21755,f21767,f21795])).
% 81.75/11.15 fof(f21799,definition,(
% 81.75/11.15 sQ119_spl <=> (class_Orderings_Oord(tc_IntDef_Oint))),
% 81.75/11.15 introduced(definition,[new_symbols(definition,[sQ119_spl])],[split_symbol_definition])).
% 81.75/11.15 fof(f21801,plain,(
% 81.75/11.15 ~class_Orderings_Oord(tc_IntDef_Oint)|sQ119_spl),
% 81.75/11.15 inference(component_clause,[status(thm)],[f21799])).
% 81.75/11.15 fof(f21802,definition,(
% 81.75/11.15 ![X0,X1]: (sQ120_spl <=> (c_in(c_IntDef_Oint(X0),c_SetInterval_OatLeast(c_uminus(c_IntDef_Oint(X1),tc_IntDef_Oint),tc_IntDef_Oint),tc_IntDef_Oint)))),
% 81.75/11.15 introduced(definition,[new_symbols(definition,[sQ120_spl])],[split_symbol_definition])).
% 81.75/11.15 fof(f21805,plain,(
% 81.75/11.15 ~sQ119_spl|sQ120_spl),
% 81.75/11.15 inference(split_clause,[status(thm)],[f21756,f21799,f21802])).
% 81.75/11.15 fof(f21807,definition,(
% 81.75/11.15 ![X0]: (sQ121_spl <=> (c_in(c_Message_Oanalz(X0),c_SetInterval_OatLeast(X0,tc_set(tc_Message_Omsg)),tc_set(tc_Message_Omsg))))),
% 81.75/11.15 introduced(definition,[new_symbols(definition,[sQ121_spl])],[split_symbol_definition])).
% 81.75/11.15 fof(f21810,plain,(
% 81.75/11.15 ~sQ113_spl|sQ121_spl),
% 81.75/11.15 inference(split_clause,[status(thm)],[f21758,f21775,f21807])).
% 81.75/11.15 fof(f21811,definition,(
% 81.75/11.15 ![X0]: (sQ122_spl <=> (c_in(c_Message_Oparts(X0),c_SetInterval_OatLeast(X0,tc_set(tc_Message_Omsg)),tc_set(tc_Message_Omsg))))),
% 81.75/11.15 introduced(definition,[new_symbols(definition,[sQ122_spl])],[split_symbol_definition])).
% 81.75/11.15 fof(f21814,plain,(
% 81.75/11.15 ~sQ113_spl|sQ122_spl),
% 81.75/11.15 inference(split_clause,[status(thm)],[f21759,f21775,f21811])).
% 81.75/11.15 fof(f21815,definition,(
% 81.75/11.15 ![X0]: (sQ123_spl <=> (c_in(c_Message_Osynth(X0),c_SetInterval_OatLeast(X0,tc_set(tc_Message_Omsg)),tc_set(tc_Message_Omsg))))),
% 81.75/11.15 introduced(definition,[new_symbols(definition,[sQ123_spl])],[split_symbol_definition])).
% 81.75/11.15 fof(f21818,plain,(
% 81.75/11.15 ~sQ113_spl|sQ123_spl),
% 81.75/11.15 inference(split_clause,[status(thm)],[f21760,f21775,f21815])).
% 81.75/11.15 fof(f21822,definition,(
% 81.75/11.15 ![X0]: (sQ124_spl <=> (c_in(X0,c_SetInterval_OatLeast(X0,tc_nat),tc_nat)))),
% 81.75/11.15 introduced(definition,[new_symbols(definition,[sQ124_spl])],[split_symbol_definition])).
% 81.75/11.15 fof(f21825,plain,(
% 81.75/11.15 ~sQ111_spl|sQ124_spl|~sQ96_spl),
% 81.75/11.15 inference(split_clause,[status(thm)],[f21764,f21767,f21822,f19647])).
% 81.75/11.15 fof(f21828,plain,(
% 81.75/11.15 $false|sQ113_spl),
% 81.75/11.15 inference(forward_subsumption_resolution,[status(thm)],[f21777,f1765])).
% 81.75/11.15 fof(f21829,plain,(
% 81.75/11.15 sQ113_spl),
% 81.75/11.15 inference(contradiction_clause,[status(thm)],[f21828])).
% 81.75/11.15 fof(f21830,plain,(
% 81.75/11.15 $false|sQ111_spl),
% 81.75/11.15 inference(forward_subsumption_resolution,[status(thm)],[f21769,f1726])).
% 81.75/11.15 fof(f21831,plain,(
% 81.75/11.15 sQ111_spl),
% 81.75/11.15 inference(contradiction_clause,[status(thm)],[f21830])).
% 81.75/11.15 fof(f21832,plain,(
% 81.75/11.15 $false|sQ119_spl),
% 81.75/11.15 inference(forward_subsumption_resolution,[status(thm)],[f21801,f1689])).
% 81.75/11.15 fof(f21833,plain,(
% 81.75/11.15 sQ119_spl),
% 81.75/11.15 inference(contradiction_clause,[status(thm)],[f21832])).
% 81.75/11.15 fof(f21922,plain,(
% 81.75/11.15 ![X0,X1]: (~class_Orderings_Oord(tc_nat)|c_in(c_Suc(X0),c_SetInterval_OatMost(c_Suc(X1),tc_nat),tc_nat)|~c_lessequals(X0,X1,tc_nat))),
% 81.75/11.15 inference(resolution,[status(thm)],[f2868,f2817])).
% 81.75/11.15 fof(f21924,plain,(
% 81.75/11.15 ![X0]: (~class_Orderings_Oord(tc_set(tc_Message_Omsg))|c_in(c_Message_Oanalz(X0),c_SetInterval_OatMost(c_Message_Osynth(c_Message_Oparts(c_Message_Oanalz(X0))),tc_set(tc_Message_Omsg)),tc_set(tc_Message_Omsg)))),
% 81.75/11.15 inference(resolution,[status(thm)],[f2868,f9645])).
% 81.75/11.15 fof(f21925,plain,(
% 81.75/11.15 ![X0]: (~class_Orderings_Oord(tc_set(tc_Message_Omsg))|c_in(c_Message_Oanalz(X0),c_SetInterval_OatMost(c_Message_Osynth(c_Message_Oparts(X0)),tc_set(tc_Message_Omsg)),tc_set(tc_Message_Omsg)))),
% 81.75/11.15 inference(resolution,[status(thm)],[f2868,f8407])).
% 81.75/11.15 fof(f21926,plain,(
% 81.75/11.15 ![X0]: (~class_Orderings_Oord(tc_set(tc_Message_Omsg))|c_in(c_Message_Oanalz(X0),c_SetInterval_OatMost(c_Message_Oparts(X0),tc_set(tc_Message_Omsg)),tc_set(tc_Message_Omsg)))),
% 81.75/11.15 inference(resolution,[status(thm)],[f2868,f7859])).
% 81.75/11.15 fof(f21928,plain,(
% 81.75/11.15 ![X0]: (~class_Orderings_Oord(tc_nat)|c_in(c_0,c_SetInterval_OatMost(X0,tc_nat),tc_nat))),
% 81.75/11.15 inference(resolution,[status(thm)],[f2868,f1563])).
% 81.75/11.15 fof(f21929,plain,(
% 81.75/11.15 ![X0,X1]: (~class_Orderings_Oord(tc_nat)|c_in(c_Nat_Osize(c_List_Oremdups(X0,X1),tc_List_Olist(X1)),c_SetInterval_OatMost(c_Nat_Osize(X0,tc_List_Olist(X1)),tc_nat),tc_nat))),
% 81.75/11.15 inference(resolution,[status(thm)],[f2868,f1544])).
% 81.75/11.15 fof(f21930,plain,(
% 81.75/11.15 ![X0,X1]: (~class_Orderings_Oord(tc_IntDef_Oint)|c_in(c_uminus(c_IntDef_Oint(X0),tc_IntDef_Oint),c_SetInterval_OatMost(c_IntDef_Oint(X1),tc_IntDef_Oint),tc_IntDef_Oint))),
% 81.75/11.15 inference(resolution,[status(thm)],[f2868,f1531])).
% 81.75/11.15 fof(f21932,plain,(
% 81.75/11.15 ![X0]: (~class_Orderings_Oord(tc_set(tc_Message_Omsg))|c_in(X0,c_SetInterval_OatMost(c_Message_Oanalz(X0),tc_set(tc_Message_Omsg)),tc_set(tc_Message_Omsg)))),
% 81.75/11.16 inference(resolution,[status(thm)],[f2868,f8628])).
% 81.75/11.16 fof(f21933,plain,(
% 81.75/11.16 ![X0]: (~class_Orderings_Oord(tc_set(tc_Message_Omsg))|c_in(X0,c_SetInterval_OatMost(c_Message_Oparts(X0),tc_set(tc_Message_Omsg)),tc_set(tc_Message_Omsg)))),
% 81.75/11.16 inference(resolution,[status(thm)],[f2868,f8487])).
% 81.75/11.16 fof(f21934,plain,(
% 81.75/11.16 ![X0]: (~class_Orderings_Oord(tc_set(tc_Message_Omsg))|c_in(X0,c_SetInterval_OatMost(c_Message_Osynth(X0),tc_set(tc_Message_Omsg)),tc_set(tc_Message_Omsg)))),
% 81.75/11.16 inference(resolution,[status(thm)],[f2868,f8409])).
% 81.75/11.16 fof(f21938,plain,(
% 81.75/11.16 ![X0]: (~class_Orderings_Oord(tc_nat)|c_in(X0,c_SetInterval_OatMost(X0,tc_nat),tc_nat)|~sQ96_spl)),
% 81.75/11.16 inference(resolution,[status(thm)],[f2868,f19648])).
% 81.75/11.16 fof(f21942,definition,(
% 81.75/11.16 ![X0,X1]: (sQ125_spl <=> (c_in(c_Suc(X0),c_SetInterval_OatMost(c_Suc(X1),tc_nat),tc_nat)|~c_lessequals(X0,X1,tc_nat)))),
% 81.75/11.16 introduced(definition,[new_symbols(definition,[sQ125_spl])],[split_symbol_definition])).
% 81.75/11.16 fof(f21945,plain,(
% 81.75/11.16 ~sQ111_spl|sQ125_spl),
% 81.75/11.16 inference(split_clause,[status(thm)],[f21922,f21767,f21942])).
% 81.75/11.16 fof(f21947,definition,(
% 81.75/11.16 ![X0]: (sQ126_spl <=> (c_in(c_Message_Oanalz(X0),c_SetInterval_OatMost(c_Message_Osynth(c_Message_Oparts(c_Message_Oanalz(X0))),tc_set(tc_Message_Omsg)),tc_set(tc_Message_Omsg))))),
% 81.75/11.16 introduced(definition,[new_symbols(definition,[sQ126_spl])],[split_symbol_definition])).
% 81.75/11.16 fof(f21950,plain,(
% 81.75/11.16 ~sQ113_spl|sQ126_spl),
% 81.75/11.16 inference(split_clause,[status(thm)],[f21924,f21775,f21947])).
% 81.75/11.16 fof(f21951,definition,(
% 81.75/11.16 ![X0]: (sQ127_spl <=> (c_in(c_Message_Oanalz(X0),c_SetInterval_OatMost(c_Message_Osynth(c_Message_Oparts(X0)),tc_set(tc_Message_Omsg)),tc_set(tc_Message_Omsg))))),
% 81.75/11.16 introduced(definition,[new_symbols(definition,[sQ127_spl])],[split_symbol_definition])).
% 81.75/11.16 fof(f21954,plain,(
% 81.75/11.16 ~sQ113_spl|sQ127_spl),
% 81.75/11.16 inference(split_clause,[status(thm)],[f21925,f21775,f21951])).
% 81.75/11.16 fof(f21955,definition,(
% 81.75/11.16 ![X0]: (sQ128_spl <=> (c_in(c_Message_Oanalz(X0),c_SetInterval_OatMost(c_Message_Oparts(X0),tc_set(tc_Message_Omsg)),tc_set(tc_Message_Omsg))))),
% 81.75/11.17 introduced(definition,[new_symbols(definition,[sQ128_spl])],[split_symbol_definition])).
% 81.75/11.17 fof(f21958,plain,(
% 81.75/11.17 ~sQ113_spl|sQ128_spl),
% 81.75/11.17 inference(split_clause,[status(thm)],[f21926,f21775,f21955])).
% 81.75/11.17 fof(f21960,definition,(
% 81.75/11.17 ![X0]: (sQ129_spl <=> (c_in(c_0,c_SetInterval_OatMost(X0,tc_nat),tc_nat)))),
% 81.75/11.17 introduced(definition,[new_symbols(definition,[sQ129_spl])],[split_symbol_definition])).
% 81.75/11.17 fof(f21963,plain,(
% 81.75/11.17 ~sQ111_spl|sQ129_spl),
% 81.75/11.17 inference(split_clause,[status(thm)],[f21928,f21767,f21960])).
% 81.75/11.17 fof(f21964,definition,(
% 81.75/11.17 ![X0,X1]: (sQ130_spl <=> (c_in(c_Nat_Osize(c_List_Oremdups(X0,X1),tc_List_Olist(X1)),c_SetInterval_OatMost(c_Nat_Osize(X0,tc_List_Olist(X1)),tc_nat),tc_nat)))),
% 81.75/11.17 introduced(definition,[new_symbols(definition,[sQ130_spl])],[split_symbol_definition])).
% 81.75/11.17 fof(f21967,plain,(
% 81.75/11.17 ~sQ111_spl|sQ130_spl),
% 81.75/11.17 inference(split_clause,[status(thm)],[f21929,f21767,f21964])).
% 81.75/11.17 fof(f21968,definition,(
% 81.75/11.17 ![X0,X1]: (sQ131_spl <=> (c_in(c_uminus(c_IntDef_Oint(X0),tc_IntDef_Oint),c_SetInterval_OatMost(c_IntDef_Oint(X1),tc_IntDef_Oint),tc_IntDef_Oint)))),
% 81.75/11.17 introduced(definition,[new_symbols(definition,[sQ131_spl])],[split_symbol_definition])).
% 81.75/11.17 fof(f21971,plain,(
% 81.75/11.17 ~sQ119_spl|sQ131_spl),
% 81.75/11.17 inference(split_clause,[status(thm)],[f21930,f21799,f21968])).
% 81.75/11.17 fof(f21973,definition,(
% 81.75/11.17 ![X0]: (sQ132_spl <=> (c_in(X0,c_SetInterval_OatMost(c_Message_Oanalz(X0),tc_set(tc_Message_Omsg)),tc_set(tc_Message_Omsg))))),
% 81.75/11.17 introduced(definition,[new_symbols(definition,[sQ132_spl])],[split_symbol_definition])).
% 81.75/11.17 fof(f21976,plain,(
% 81.75/11.17 ~sQ113_spl|sQ132_spl),
% 81.75/11.17 inference(split_clause,[status(thm)],[f21932,f21775,f21973])).
% 81.75/11.17 fof(f21977,definition,(
% 81.75/11.17 ![X0]: (sQ133_spl <=> (c_in(X0,c_SetInterval_OatMost(c_Message_Oparts(X0),tc_set(tc_Message_Omsg)),tc_set(tc_Message_Omsg))))),
% 81.75/11.17 introduced(definition,[new_symbols(definition,[sQ133_spl])],[split_symbol_definition])).
% 81.75/11.17 fof(f21980,plain,(
% 81.75/11.17 ~sQ113_spl|sQ133_spl),
% 81.75/11.17 inference(split_clause,[status(thm)],[f21933,f21775,f21977])).
% 81.75/11.17 fof(f21981,definition,(
% 81.75/11.17 ![X0]: (sQ134_spl <=> (c_in(X0,c_SetInterval_OatMost(c_Message_Osynth(X0),tc_set(tc_Message_Omsg)),tc_set(tc_Message_Omsg))))),
% 81.75/11.17 introduced(definition,[new_symbols(definition,[sQ134_spl])],[split_symbol_definition])).
% 81.75/11.17 fof(f21984,plain,(
% 81.75/11.17 ~sQ113_spl|sQ134_spl),
% 81.75/11.17 inference(split_clause,[status(thm)],[f21934,f21775,f21981])).
% 81.75/11.17 fof(f21988,definition,(
% 81.75/11.17 ![X0]: (sQ135_spl <=> (c_in(X0,c_SetInterval_OatMost(X0,tc_nat),tc_nat)))),
% 81.75/11.17 introduced(definition,[new_symbols(definition,[sQ135_spl])],[split_symbol_definition])).
% 81.75/11.17 fof(f21991,plain,(
% 81.75/11.17 ~sQ111_spl|sQ135_spl|~sQ96_spl),
% 81.75/11.17 inference(split_clause,[status(thm)],[f21938,f21767,f21988,f19647])).
% 81.75/11.17 fof(f22331,plain,(
% 81.75/11.17 ![X0,X1]: (~class_Orderings_Oord(tc_nat)|c_in(c_Suc(X0),c_SetInterval_OgreaterThan(c_Suc(X1),tc_nat),tc_nat)|~c_less(X1,X0,tc_nat))),
% 81.75/11.17 inference(resolution,[status(thm)],[f2874,f2819])).
% 81.75/11.17 fof(f22333,plain,(
% 81.75/11.17 ![X0,X1]: (~class_Orderings_Oord(tc_nat)|c_in(c_plus(X0,X1,tc_nat),c_SetInterval_OgreaterThan(c_0,tc_nat),tc_nat)|~c_less(c_0,X1,tc_nat))),
% 81.75/11.17 inference(resolution,[status(thm)],[f2874,f2827])).
% 81.75/11.17 fof(f22334,plain,(
% 81.75/11.17 ![X0,X1]: (~class_Orderings_Oord(tc_nat)|c_in(c_plus(X0,X1,tc_nat),c_SetInterval_OgreaterThan(c_0,tc_nat),tc_nat)|~c_less(c_0,X0,tc_nat))),
% 81.75/11.17 inference(resolution,[status(thm)],[f2874,f2825])).
% 81.75/11.17 fof(f22335,plain,(
% 81.75/11.17 ![X0,X1]: (~class_Orderings_Oord(tc_nat)|c_in(c_Nat_Osize(X0,tc_List_Olist(X1)),c_SetInterval_OgreaterThan(c_0,tc_nat),tc_nat)|X0=c_List_Olist_ONil)),
% 81.75/11.17 inference(resolution,[status(thm)],[f2874,f2785])).
% 81.75/11.17 fof(f22336,plain,(
% 81.75/11.17 ~class_Orderings_Oord(tc_nat)|c_in(c_1,c_SetInterval_OgreaterThan(c_0,tc_nat),tc_nat)),
% 81.75/11.17 inference(resolution,[status(thm)],[f2874,f2838])).
% 81.75/11.17 fof(f22337,plain,(
% 81.75/11.17 ![X0]: (~class_Orderings_Oord(tc_nat)|c_in(c_Suc(X0),c_SetInterval_OgreaterThan(c_0,tc_nat),tc_nat))),
% 81.75/11.17 inference(resolution,[status(thm)],[f2874,f1566])).
% 81.75/11.17 fof(f22338,plain,(
% 81.75/11.17 ![X0]: (~class_Orderings_Oord(tc_nat)|c_in(X0,c_SetInterval_OgreaterThan(c_0,tc_nat),tc_nat)|X0=c_0)),
% 81.75/11.17 inference(resolution,[status(thm)],[f2874,f2839])).
% 81.75/11.17 fof(f22339,plain,(
% 81.75/11.17 ![X0,X1]: (~class_Orderings_Oord(tc_IntDef_Oint)|c_in(c_IntDef_Oint(X0),c_SetInterval_OgreaterThan(c_uminus(c_IntDef_Oint(c_Suc(X1)),tc_IntDef_Oint),tc_IntDef_Oint),tc_IntDef_Oint))),
% 81.75/11.17 inference(resolution,[status(thm)],[f2874,f1532])).
% 81.75/11.17 fof(f22341,plain,(
% 81.75/11.17 ![X0]: (~class_Orderings_Oord(tc_set(tc_Message_Omsg))|c_in(c_Message_Oanalz(X0),c_SetInterval_OgreaterThan(X0,tc_set(tc_Message_Omsg)),tc_set(tc_Message_Omsg))|X0=c_Message_Oanalz(X0))),
% 81.75/11.17 inference(resolution,[status(thm)],[f2874,f8761])).
% 81.75/11.17 fof(f22342,plain,(
% 81.75/11.17 ![X0]: (~class_Orderings_Oord(tc_set(tc_Message_Omsg))|c_in(c_Message_Oparts(X0),c_SetInterval_OgreaterThan(X0,tc_set(tc_Message_Omsg)),tc_set(tc_Message_Omsg))|X0=c_Message_Oparts(X0))),
% 81.75/11.17 inference(resolution,[status(thm)],[f2874,f8538])).
% 81.75/11.17 fof(f22343,plain,(
% 81.75/11.17 ![X0]: (~class_Orderings_Oord(tc_set(tc_Message_Omsg))|c_in(c_Message_Osynth(X0),c_SetInterval_OgreaterThan(X0,tc_set(tc_Message_Omsg)),tc_set(tc_Message_Omsg))|X0=c_Message_Osynth(X0))),
% 81.75/11.17 inference(resolution,[status(thm)],[f2874,f8535])).
% 81.75/11.17 fof(f22345,plain,(
% 81.75/11.17 ![X0]: (~class_Orderings_Oord(tc_nat)|c_in(c_Suc(X0),c_SetInterval_OgreaterThan(X0,tc_nat),tc_nat))),
% 81.75/11.17 inference(resolution,[status(thm)],[f2874,f1564])).
% 81.75/11.17 fof(f22346,definition,(
% 81.75/11.17 ![X0,X1]: (sQ136_spl <=> (c_in(c_Suc(X0),c_SetInterval_OgreaterThan(c_Suc(X1),tc_nat),tc_nat)|~c_less(X1,X0,tc_nat)))),
% 81.75/11.17 introduced(definition,[new_symbols(definition,[sQ136_spl])],[split_symbol_definition])).
% 81.75/11.17 fof(f22349,plain,(
% 81.75/11.17 ~sQ111_spl|sQ136_spl),
% 81.75/11.17 inference(split_clause,[status(thm)],[f22331,f21767,f22346])).
% 81.75/11.17 fof(f22351,definition,(
% 81.75/11.17 ![X0,X1]: (sQ137_spl <=> (c_in(c_plus(X0,X1,tc_nat),c_SetInterval_OgreaterThan(c_0,tc_nat),tc_nat)|~c_less(c_0,X1,tc_nat)))),
% 81.75/11.17 introduced(definition,[new_symbols(definition,[sQ137_spl])],[split_symbol_definition])).
% 81.75/11.17 fof(f22354,plain,(
% 81.75/11.17 ~sQ111_spl|sQ137_spl),
% 81.75/11.17 inference(split_clause,[status(thm)],[f22333,f21767,f22351])).
% 81.75/11.17 fof(f22355,definition,(
% 81.75/11.17 ![X0,X1]: (sQ138_spl <=> (c_in(c_plus(X0,X1,tc_nat),c_SetInterval_OgreaterThan(c_0,tc_nat),tc_nat)|~c_less(c_0,X0,tc_nat)))),
% 81.75/11.17 introduced(definition,[new_symbols(definition,[sQ138_spl])],[split_symbol_definition])).
% 81.75/11.17 fof(f22358,plain,(
% 81.75/11.17 ~sQ111_spl|sQ138_spl),
% 81.75/11.17 inference(split_clause,[status(thm)],[f22334,f21767,f22355])).
% 81.75/11.17 fof(f22359,definition,(
% 81.75/11.17 ![X0,X1]: (sQ139_spl <=> (c_in(c_Nat_Osize(X0,tc_List_Olist(X1)),c_SetInterval_OgreaterThan(c_0,tc_nat),tc_nat)|X0=c_List_Olist_ONil))),
% 81.75/11.17 introduced(definition,[new_symbols(definition,[sQ139_spl])],[split_symbol_definition])).
% 81.75/11.17 fof(f22362,plain,(
% 81.75/11.17 ~sQ111_spl|sQ139_spl),
% 81.75/11.17 inference(split_clause,[status(thm)],[f22335,f21767,f22359])).
% 81.75/11.17 fof(f22363,definition,(
% 81.75/11.17 sQ140_spl <=> (c_in(c_1,c_SetInterval_OgreaterThan(c_0,tc_nat),tc_nat))),
% 81.75/11.17 introduced(definition,[new_symbols(definition,[sQ140_spl])],[split_symbol_definition])).
% 81.75/11.17 fof(f22364,plain,(
% 81.75/11.17 c_in(c_1,c_SetInterval_OgreaterThan(c_0,tc_nat),tc_nat)|~sQ140_spl),
% 81.75/11.17 inference(component_clause,[status(thm)],[f22363])).
% 81.75/11.17 fof(f22366,plain,(
% 81.75/11.17 ~sQ111_spl|sQ140_spl),
% 81.75/11.17 inference(split_clause,[status(thm)],[f22336,f21767,f22363])).
% 81.75/11.17 fof(f22367,definition,(
% 81.75/11.17 ![X0]: (sQ141_spl <=> (c_in(c_Suc(X0),c_SetInterval_OgreaterThan(c_0,tc_nat),tc_nat)))),
% 81.75/11.17 introduced(definition,[new_symbols(definition,[sQ141_spl])],[split_symbol_definition])).
% 81.75/11.17 fof(f22368,plain,(
% 81.75/11.17 ![X0]: (c_in(c_Suc(X0),c_SetInterval_OgreaterThan(c_0,tc_nat),tc_nat)|~sQ141_spl)),
% 81.75/11.17 inference(component_clause,[status(thm)],[f22367])).
% 81.75/11.17 fof(f22370,plain,(
% 81.75/11.17 ~sQ111_spl|sQ141_spl),
% 81.75/11.17 inference(split_clause,[status(thm)],[f22337,f21767,f22367])).
% 81.75/11.17 fof(f22371,definition,(
% 81.75/11.17 ![X0]: (sQ142_spl <=> (c_in(X0,c_SetInterval_OgreaterThan(c_0,tc_nat),tc_nat)|X0=c_0))),
% 81.75/11.17 introduced(definition,[new_symbols(definition,[sQ142_spl])],[split_symbol_definition])).
% 81.75/11.17 fof(f22372,plain,(
% 81.75/11.17 ![X0]: (c_in(X0,c_SetInterval_OgreaterThan(c_0,tc_nat),tc_nat)|X0=c_0|~sQ142_spl)),
% 81.75/11.17 inference(component_clause,[status(thm)],[f22371])).
% 81.75/11.17 fof(f22374,plain,(
% 81.75/11.17 ~sQ111_spl|sQ142_spl),
% 81.75/11.17 inference(split_clause,[status(thm)],[f22338,f21767,f22371])).
% 81.75/11.17 fof(f22375,definition,(
% 81.75/11.17 ![X0,X1]: (sQ143_spl <=> (c_in(c_IntDef_Oint(X0),c_SetInterval_OgreaterThan(c_uminus(c_IntDef_Oint(c_Suc(X1)),tc_IntDef_Oint),tc_IntDef_Oint),tc_IntDef_Oint)))),
% 81.75/11.17 introduced(definition,[new_symbols(definition,[sQ143_spl])],[split_symbol_definition])).
% 81.75/11.17 fof(f22378,plain,(
% 81.75/11.17 ~sQ119_spl|sQ143_spl),
% 81.75/11.17 inference(split_clause,[status(thm)],[f22339,f21799,f22375])).
% 81.75/11.17 fof(f22380,definition,(
% 81.75/11.17 ![X0]: (sQ144_spl <=> (c_in(c_Message_Oanalz(X0),c_SetInterval_OgreaterThan(X0,tc_set(tc_Message_Omsg)),tc_set(tc_Message_Omsg))|X0=c_Message_Oanalz(X0)))),
% 81.75/11.17 introduced(definition,[new_symbols(definition,[sQ144_spl])],[split_symbol_definition])).
% 81.75/11.17 fof(f22383,plain,(
% 81.75/11.17 ~sQ113_spl|sQ144_spl),
% 81.75/11.17 inference(split_clause,[status(thm)],[f22341,f21775,f22380])).
% 81.75/11.17 fof(f22384,definition,(
% 81.75/11.17 ![X0]: (sQ145_spl <=> (c_in(c_Message_Oparts(X0),c_SetInterval_OgreaterThan(X0,tc_set(tc_Message_Omsg)),tc_set(tc_Message_Omsg))|X0=c_Message_Oparts(X0)))),
% 81.75/11.17 introduced(definition,[new_symbols(definition,[sQ145_spl])],[split_symbol_definition])).
% 81.75/11.17 fof(f22387,plain,(
% 81.75/11.17 ~sQ113_spl|sQ145_spl),
% 81.75/11.17 inference(split_clause,[status(thm)],[f22342,f21775,f22384])).
% 81.75/11.17 fof(f22388,definition,(
% 81.75/11.17 ![X0]: (sQ146_spl <=> (c_in(c_Message_Osynth(X0),c_SetInterval_OgreaterThan(X0,tc_set(tc_Message_Omsg)),tc_set(tc_Message_Omsg))|X0=c_Message_Osynth(X0)))),
% 81.75/11.17 introduced(definition,[new_symbols(definition,[sQ146_spl])],[split_symbol_definition])).
% 81.75/11.17 fof(f22391,plain,(
% 81.75/11.17 ~sQ113_spl|sQ146_spl),
% 81.75/11.17 inference(split_clause,[status(thm)],[f22343,f21775,f22388])).
% 81.75/11.17 fof(f22393,definition,(
% 81.75/11.17 ![X0]: (sQ147_spl <=> (c_in(c_Suc(X0),c_SetInterval_OgreaterThan(X0,tc_nat),tc_nat)))),
% 81.75/11.17 introduced(definition,[new_symbols(definition,[sQ147_spl])],[split_symbol_definition])).
% 81.75/11.17 fof(f22394,plain,(
% 81.75/11.17 ![X0]: (c_in(c_Suc(X0),c_SetInterval_OgreaterThan(X0,tc_nat),tc_nat)|~sQ147_spl)),
% 81.75/11.17 inference(component_clause,[status(thm)],[f22393])).
% 81.75/11.17 fof(f22396,plain,(
% 81.75/11.17 ~sQ111_spl|sQ147_spl),
% 81.75/11.17 inference(split_clause,[status(thm)],[f22345,f21767,f22393])).
% 81.75/11.17 fof(f22397,plain,(
% 81.75/11.17 ![X0,X1]: (~class_Orderings_Olinorder(X0)|c_lessequals(X1,X1,X0))),
% 81.75/11.17 inference(resolution,[status(thm)],[f2875,f1621])).
% 81.75/11.17 fof(f22494,plain,(
% 81.75/11.17 ![X0]: (c_lessequals(X0,X0,tc_IntDef_Oint))),
% 81.75/11.17 inference(resolution,[status(thm)],[f22397,f1673])).
% 81.75/11.17 fof(f22496,plain,(
% 81.75/11.17 ![X0]: (~class_Orderings_Oord(tc_IntDef_Oint)|c_in(X0,c_SetInterval_OatMost(X0,tc_IntDef_Oint),tc_IntDef_Oint))),
% 81.75/11.17 inference(resolution,[status(thm)],[f22494,f2868])).
% 81.75/11.17 fof(f22497,plain,(
% 81.75/11.17 ![X0]: (~class_Orderings_Oord(tc_IntDef_Oint)|c_in(X0,c_SetInterval_OatLeast(X0,tc_IntDef_Oint),tc_IntDef_Oint))),
% 81.75/11.17 inference(resolution,[status(thm)],[f22494,f2862])).
% 81.75/11.17 fof(f22498,definition,(
% 81.75/11.17 ![X0]: (sQ148_spl <=> (c_in(X0,c_SetInterval_OatMost(X0,tc_IntDef_Oint),tc_IntDef_Oint)))),
% 81.75/11.17 introduced(definition,[new_symbols(definition,[sQ148_spl])],[split_symbol_definition])).
% 81.75/11.17 fof(f22499,plain,(
% 81.75/11.17 ![X0]: (c_in(X0,c_SetInterval_OatMost(X0,tc_IntDef_Oint),tc_IntDef_Oint)|~sQ148_spl)),
% 81.75/11.17 inference(component_clause,[status(thm)],[f22498])).
% 81.75/11.17 fof(f22501,plain,(
% 81.75/11.17 ~sQ119_spl|sQ148_spl),
% 81.75/11.17 inference(split_clause,[status(thm)],[f22496,f21799,f22498])).
% 81.75/11.17 fof(f22502,definition,(
% 81.75/11.17 ![X0]: (sQ149_spl <=> (c_in(X0,c_SetInterval_OatLeast(X0,tc_IntDef_Oint),tc_IntDef_Oint)))),
% 81.75/11.17 introduced(definition,[new_symbols(definition,[sQ149_spl])],[split_symbol_definition])).
% 81.75/11.17 fof(f22505,plain,(
% 81.75/11.17 ~sQ119_spl|sQ149_spl),
% 81.75/11.17 inference(split_clause,[status(thm)],[f22497,f21799,f22502])).
% 81.75/11.17 fof(f22506,plain,(
% 81.75/11.17 ![X0]: (~class_Orderings_Oord(tc_IntDef_Oint)|c_lessequals(X0,X0,tc_IntDef_Oint)|~sQ148_spl)),
% 81.75/11.17 inference(resolution,[status(thm)],[f22499,f2867])).
% 81.75/11.17 fof(f22507,definition,(
% 81.75/11.17 ![X0]: (sQ150_spl <=> (c_lessequals(X0,X0,tc_IntDef_Oint)))),
% 81.75/11.17 introduced(definition,[new_symbols(definition,[sQ150_spl])],[split_symbol_definition])).
% 81.75/11.17 fof(f22510,plain,(
% 81.75/11.17 ~sQ119_spl|sQ150_spl|~sQ148_spl),
% 81.75/11.17 inference(split_clause,[status(thm)],[f22506,f21799,f22507,f22498])).
% 81.75/11.17 fof(f22713,plain,(
% 81.75/11.17 ![X0]: (c_lessequals(X0,c_SetInterval_OatLeast(c_0,tc_nat),tc_set(tc_nat))|~sQ117_spl)),
% 81.75/11.17 inference(resolution,[status(thm)],[f21792,f1618])).
% 81.75/11.17 fof(f22717,plain,(
% 81.75/11.17 ![X0]: (~class_Orderings_Oord(tc_nat)|c_lessequals(c_0,X0,tc_nat)|~sQ117_spl)),
% 81.75/11.17 inference(resolution,[status(thm)],[f21792,f2861])).
% 81.75/11.17 fof(f22718,definition,(
% 81.75/11.17 ![X0]: (sQ151_spl <=> (c_lessequals(c_0,X0,tc_nat)))),
% 81.75/11.17 introduced(definition,[new_symbols(definition,[sQ151_spl])],[split_symbol_definition])).
% 81.75/11.17 fof(f22721,plain,(
% 81.75/11.17 ~sQ111_spl|sQ151_spl|~sQ117_spl),
% 81.75/11.17 inference(split_clause,[status(thm)],[f22717,f21767,f22718,f21791])).
% 81.75/11.17 fof(f22748,plain,(
% 81.75/11.17 ![X0,X1]: (~class_Orderings_Oord(tc_nat)|c_in(c_Suc(X0),c_SetInterval_OlessThan(c_Suc(X1),tc_nat),tc_nat)|~c_less(X0,X1,tc_nat))),
% 81.75/11.17 inference(resolution,[status(thm)],[f2880,f2819])).
% 81.75/11.17 fof(f22750,plain,(
% 81.75/11.17 ![X0,X1]: (~class_Orderings_Oord(tc_nat)|c_in(c_0,c_SetInterval_OlessThan(c_plus(X0,X1,tc_nat),tc_nat),tc_nat)|~c_less(c_0,X1,tc_nat))),
% 81.75/11.17 inference(resolution,[status(thm)],[f2880,f2827])).
% 81.75/11.17 fof(f22751,plain,(
% 81.75/11.17 ![X0,X1]: (~class_Orderings_Oord(tc_nat)|c_in(c_0,c_SetInterval_OlessThan(c_plus(X0,X1,tc_nat),tc_nat),tc_nat)|~c_less(c_0,X0,tc_nat))),
% 81.75/11.17 inference(resolution,[status(thm)],[f2880,f2825])).
% 81.75/11.17 fof(f22752,plain,(
% 81.75/11.17 ![X0,X1]: (~class_Orderings_Oord(tc_nat)|c_in(c_0,c_SetInterval_OlessThan(c_Nat_Osize(X0,tc_List_Olist(X1)),tc_nat),tc_nat)|X0=c_List_Olist_ONil)),
% 81.75/11.17 inference(resolution,[status(thm)],[f2880,f2785])).
% 81.75/11.17 fof(f22753,plain,(
% 81.75/11.17 ~class_Orderings_Oord(tc_nat)|c_in(c_0,c_SetInterval_OlessThan(c_1,tc_nat),tc_nat)),
% 81.75/11.17 inference(resolution,[status(thm)],[f2880,f2838])).
% 81.75/11.17 fof(f22754,plain,(
% 81.75/11.17 ![X0]: (~class_Orderings_Oord(tc_nat)|c_in(c_0,c_SetInterval_OlessThan(c_Suc(X0),tc_nat),tc_nat))),
% 81.75/11.17 inference(resolution,[status(thm)],[f2880,f1566])).
% 81.75/11.17 fof(f22755,plain,(
% 81.75/11.17 ![X0]: (~class_Orderings_Oord(tc_nat)|c_in(c_0,c_SetInterval_OlessThan(X0,tc_nat),tc_nat)|X0=c_0)),
% 81.75/11.17 inference(resolution,[status(thm)],[f2880,f2839])).
% 81.75/11.17 fof(f22756,plain,(
% 81.75/11.17 ![X0,X1]: (~class_Orderings_Oord(tc_IntDef_Oint)|c_in(c_uminus(c_IntDef_Oint(c_Suc(X0)),tc_IntDef_Oint),c_SetInterval_OlessThan(c_IntDef_Oint(X1),tc_IntDef_Oint),tc_IntDef_Oint))),
% 81.75/11.17 inference(resolution,[status(thm)],[f2880,f1532])).
% 81.75/11.17 fof(f22758,plain,(
% 81.75/11.17 ![X0]: (~class_Orderings_Oord(tc_set(tc_Message_Omsg))|c_in(X0,c_SetInterval_OlessThan(c_Message_Oanalz(X0),tc_set(tc_Message_Omsg)),tc_set(tc_Message_Omsg))|X0=c_Message_Oanalz(X0))),
% 81.75/11.17 inference(resolution,[status(thm)],[f2880,f8761])).
% 81.75/11.17 fof(f22759,plain,(
% 81.75/11.17 ![X0]: (~class_Orderings_Oord(tc_set(tc_Message_Omsg))|c_in(X0,c_SetInterval_OlessThan(c_Message_Oparts(X0),tc_set(tc_Message_Omsg)),tc_set(tc_Message_Omsg))|X0=c_Message_Oparts(X0))),
% 81.75/11.17 inference(resolution,[status(thm)],[f2880,f8538])).
% 81.75/11.17 fof(f22760,plain,(
% 81.75/11.17 ![X0]: (~class_Orderings_Oord(tc_set(tc_Message_Omsg))|c_in(X0,c_SetInterval_OlessThan(c_Message_Osynth(X0),tc_set(tc_Message_Omsg)),tc_set(tc_Message_Omsg))|X0=c_Message_Osynth(X0))),
% 81.75/11.17 inference(resolution,[status(thm)],[f2880,f8535])).
% 81.75/11.17 fof(f22762,plain,(
% 81.75/11.17 ![X0]: (~class_Orderings_Oord(tc_nat)|c_in(X0,c_SetInterval_OlessThan(c_Suc(X0),tc_nat),tc_nat))),
% 81.75/11.17 inference(resolution,[status(thm)],[f2880,f1564])).
% 81.75/11.17 fof(f22763,definition,(
% 81.75/11.17 ![X0,X1]: (sQ152_spl <=> (c_in(c_Suc(X0),c_SetInterval_OlessThan(c_Suc(X1),tc_nat),tc_nat)|~c_less(X0,X1,tc_nat)))),
% 81.75/11.17 introduced(definition,[new_symbols(definition,[sQ152_spl])],[split_symbol_definition])).
% 81.75/11.17 fof(f22766,plain,(
% 81.75/11.17 ~sQ111_spl|sQ152_spl),
% 81.75/11.17 inference(split_clause,[status(thm)],[f22748,f21767,f22763])).
% 81.75/11.17 fof(f22768,definition,(
% 81.75/11.17 ![X0,X1]: (sQ153_spl <=> (c_in(c_0,c_SetInterval_OlessThan(c_plus(X0,X1,tc_nat),tc_nat),tc_nat)|~c_less(c_0,X1,tc_nat)))),
% 81.75/11.17 introduced(definition,[new_symbols(definition,[sQ153_spl])],[split_symbol_definition])).
% 81.75/11.17 fof(f22771,plain,(
% 81.75/11.17 ~sQ111_spl|sQ153_spl),
% 81.75/11.17 inference(split_clause,[status(thm)],[f22750,f21767,f22768])).
% 81.75/11.17 fof(f22772,definition,(
% 81.75/11.17 ![X0,X1]: (sQ154_spl <=> (c_in(c_0,c_SetInterval_OlessThan(c_plus(X0,X1,tc_nat),tc_nat),tc_nat)|~c_less(c_0,X0,tc_nat)))),
% 81.75/11.17 introduced(definition,[new_symbols(definition,[sQ154_spl])],[split_symbol_definition])).
% 81.75/11.17 fof(f22775,plain,(
% 81.75/11.17 ~sQ111_spl|sQ154_spl),
% 81.75/11.17 inference(split_clause,[status(thm)],[f22751,f21767,f22772])).
% 81.75/11.17 fof(f22776,definition,(
% 81.75/11.17 ![X0,X1]: (sQ155_spl <=> (c_in(c_0,c_SetInterval_OlessThan(c_Nat_Osize(X0,tc_List_Olist(X1)),tc_nat),tc_nat)|X0=c_List_Olist_ONil))),
% 81.75/11.17 introduced(definition,[new_symbols(definition,[sQ155_spl])],[split_symbol_definition])).
% 81.75/11.17 fof(f22779,plain,(
% 81.75/11.17 ~sQ111_spl|sQ155_spl),
% 81.75/11.17 inference(split_clause,[status(thm)],[f22752,f21767,f22776])).
% 81.75/11.17 fof(f22780,definition,(
% 81.75/11.17 sQ156_spl <=> (c_in(c_0,c_SetInterval_OlessThan(c_1,tc_nat),tc_nat))),
% 81.75/11.17 introduced(definition,[new_symbols(definition,[sQ156_spl])],[split_symbol_definition])).
% 81.75/11.17 fof(f22783,plain,(
% 81.75/11.17 ~sQ111_spl|sQ156_spl),
% 81.75/11.17 inference(split_clause,[status(thm)],[f22753,f21767,f22780])).
% 81.75/11.17 fof(f22784,definition,(
% 81.75/11.17 ![X0]: (sQ157_spl <=> (c_in(c_0,c_SetInterval_OlessThan(c_Suc(X0),tc_nat),tc_nat)))),
% 81.75/11.17 introduced(definition,[new_symbols(definition,[sQ157_spl])],[split_symbol_definition])).
% 81.75/11.17 fof(f22787,plain,(
% 81.75/11.17 ~sQ111_spl|sQ157_spl),
% 81.75/11.17 inference(split_clause,[status(thm)],[f22754,f21767,f22784])).
% 81.75/11.17 fof(f22788,definition,(
% 81.75/11.17 ![X0]: (sQ158_spl <=> (c_in(c_0,c_SetInterval_OlessThan(X0,tc_nat),tc_nat)|X0=c_0))),
% 81.75/11.17 introduced(definition,[new_symbols(definition,[sQ158_spl])],[split_symbol_definition])).
% 81.75/11.17 fof(f22791,plain,(
% 81.75/11.17 ~sQ111_spl|sQ158_spl),
% 81.75/11.17 inference(split_clause,[status(thm)],[f22755,f21767,f22788])).
% 81.75/11.17 fof(f22792,definition,(
% 81.75/11.17 ![X0,X1]: (sQ159_spl <=> (c_in(c_uminus(c_IntDef_Oint(c_Suc(X0)),tc_IntDef_Oint),c_SetInterval_OlessThan(c_IntDef_Oint(X1),tc_IntDef_Oint),tc_IntDef_Oint)))),
% 81.75/11.17 introduced(definition,[new_symbols(definition,[sQ159_spl])],[split_symbol_definition])).
% 81.75/11.17 fof(f22795,plain,(
% 81.75/11.17 ~sQ119_spl|sQ159_spl),
% 81.75/11.17 inference(split_clause,[status(thm)],[f22756,f21799,f22792])).
% 81.75/11.17 fof(f22797,definition,(
% 81.75/11.17 ![X0]: (sQ160_spl <=> (c_in(X0,c_SetInterval_OlessThan(c_Message_Oanalz(X0),tc_set(tc_Message_Omsg)),tc_set(tc_Message_Omsg))|X0=c_Message_Oanalz(X0)))),
% 81.75/11.17 introduced(definition,[new_symbols(definition,[sQ160_spl])],[split_symbol_definition])).
% 81.75/11.17 fof(f22800,plain,(
% 81.75/11.17 ~sQ113_spl|sQ160_spl),
% 81.75/11.17 inference(split_clause,[status(thm)],[f22758,f21775,f22797])).
% 81.75/11.17 fof(f22801,definition,(
% 81.75/11.17 ![X0]: (sQ161_spl <=> (c_in(X0,c_SetInterval_OlessThan(c_Message_Oparts(X0),tc_set(tc_Message_Omsg)),tc_set(tc_Message_Omsg))|X0=c_Message_Oparts(X0)))),
% 81.75/11.17 introduced(definition,[new_symbols(definition,[sQ161_spl])],[split_symbol_definition])).
% 81.75/11.17 fof(f22804,plain,(
% 81.75/11.17 ~sQ113_spl|sQ161_spl),
% 81.75/11.17 inference(split_clause,[status(thm)],[f22759,f21775,f22801])).
% 81.75/11.17 fof(f22805,definition,(
% 81.75/11.17 ![X0]: (sQ162_spl <=> (c_in(X0,c_SetInterval_OlessThan(c_Message_Osynth(X0),tc_set(tc_Message_Omsg)),tc_set(tc_Message_Omsg))|X0=c_Message_Osynth(X0)))),
% 81.75/11.17 introduced(definition,[new_symbols(definition,[sQ162_spl])],[split_symbol_definition])).
% 81.75/11.17 fof(f22808,plain,(
% 81.75/11.17 ~sQ113_spl|sQ162_spl),
% 81.75/11.17 inference(split_clause,[status(thm)],[f22760,f21775,f22805])).
% 81.75/11.17 fof(f22810,definition,(
% 81.75/11.17 ![X0]: (sQ163_spl <=> (c_in(X0,c_SetInterval_OlessThan(c_Suc(X0),tc_nat),tc_nat)))),
% 81.75/11.17 introduced(definition,[new_symbols(definition,[sQ163_spl])],[split_symbol_definition])).
% 81.75/11.17 fof(f22813,plain,(
% 81.75/11.17 ~sQ111_spl|sQ163_spl),
% 81.75/11.17 inference(split_clause,[status(thm)],[f22762,f21767,f22810])).
% 81.75/11.17 fof(f25429,plain,(
% 81.75/11.17 ~class_Orderings_Oord(tc_nat)|c_less(c_0,c_1,tc_nat)|~sQ140_spl),
% 81.75/11.17 inference(resolution,[status(thm)],[f22364,f2873])).
% 81.75/11.17 fof(f25430,definition,(
% 81.75/11.17 sQ164_spl <=> (c_less(c_0,c_1,tc_nat))),
% 81.75/11.17 introduced(definition,[new_symbols(definition,[sQ164_spl])],[split_symbol_definition])).
% 81.75/11.17 fof(f25433,plain,(
% 81.75/11.17 ~sQ111_spl|sQ164_spl|~sQ140_spl),
% 81.75/11.17 inference(split_clause,[status(thm)],[f25429,f21767,f25430,f22363])).
% 81.75/11.17 fof(f25434,plain,(
% 81.75/11.17 ![X0]: (~class_Orderings_Oord(tc_nat)|c_less(X0,c_Suc(X0),tc_nat)|~sQ147_spl)),
% 81.75/11.17 inference(resolution,[status(thm)],[f22394,f2873])).
% 81.75/11.17 fof(f25435,definition,(
% 81.75/11.17 ![X0]: (sQ165_spl <=> (c_less(X0,c_Suc(X0),tc_nat)))),
% 81.75/11.17 introduced(definition,[new_symbols(definition,[sQ165_spl])],[split_symbol_definition])).
% 81.75/11.17 fof(f25438,plain,(
% 81.75/11.17 ~sQ111_spl|sQ165_spl|~sQ147_spl),
% 81.75/11.17 inference(split_clause,[status(thm)],[f25434,f21767,f25435,f22393])).
% 81.75/11.17 fof(f26128,plain,(
% 81.75/11.17 ![X0]: (~class_Orderings_Oord(tc_nat)|c_less(c_0,c_Suc(X0),tc_nat)|~sQ141_spl)),
% 81.75/11.17 inference(resolution,[status(thm)],[f22368,f2873])).
% 81.75/11.17 fof(f26129,definition,(
% 81.75/11.17 ![X0]: (sQ209_spl <=> (c_less(c_0,c_Suc(X0),tc_nat)))),
% 81.75/11.17 introduced(definition,[new_symbols(definition,[sQ209_spl])],[split_symbol_definition])).
% 81.75/11.17 fof(f26132,plain,(
% 81.75/11.17 ~sQ111_spl|sQ209_spl|~sQ141_spl),
% 81.75/11.17 inference(split_clause,[status(thm)],[f26128,f21767,f26129,f22367])).
% 81.75/11.17 fof(f26134,plain,(
% 81.75/11.17 c_SetInterval_OatLeast(c_0,tc_nat)=c_UNIV|~sQ117_spl),
% 81.75/11.17 inference(resolution,[status(thm)],[f22713,f17968])).
% 81.75/11.17 fof(f26139,plain,(
% 81.75/11.17 ![X0]: (~class_Orderings_Oord(tc_set(tc_nat))|c_in(X0,c_SetInterval_OatMost(c_SetInterval_OatLeast(c_0,tc_nat),tc_set(tc_nat)),tc_set(tc_nat))|~sQ117_spl)),
% 81.75/11.17 inference(resolution,[status(thm)],[f22713,f2868])).
% 81.75/11.17 fof(f26140,plain,(
% 81.75/11.17 ![X0]: (~class_Orderings_Oord(tc_set(tc_nat))|c_in(c_SetInterval_OatLeast(c_0,tc_nat),c_SetInterval_OatLeast(X0,tc_set(tc_nat)),tc_set(tc_nat))|~sQ117_spl)),
% 81.75/11.17 inference(resolution,[status(thm)],[f22713,f2862])).
% 81.75/11.17 fof(f26142,definition,(
% 81.75/11.17 sQ210_spl <=> (class_Orderings_Oord(tc_set(tc_nat)))),
% 81.75/11.17 introduced(definition,[new_symbols(definition,[sQ210_spl])],[split_symbol_definition])).
% 81.75/11.17 fof(f26144,plain,(
% 81.75/11.17 ~class_Orderings_Oord(tc_set(tc_nat))|sQ210_spl),
% 81.75/11.17 inference(component_clause,[status(thm)],[f26142])).
% 81.75/11.17 fof(f26145,definition,(
% 81.75/11.17 ![X0]: (sQ211_spl <=> (c_in(X0,c_SetInterval_OatMost(c_SetInterval_OatLeast(c_0,tc_nat),tc_set(tc_nat)),tc_set(tc_nat))))),
% 81.75/11.17 introduced(definition,[new_symbols(definition,[sQ211_spl])],[split_symbol_definition])).
% 81.75/11.17 fof(f26148,plain,(
% 81.75/11.17 ~sQ210_spl|sQ211_spl|~sQ117_spl),
% 81.75/11.17 inference(split_clause,[status(thm)],[f26139,f26142,f26145,f21791])).
% 81.75/11.17 fof(f26149,definition,(
% 81.75/11.17 ![X0]: (sQ212_spl <=> (c_in(c_SetInterval_OatLeast(c_0,tc_nat),c_SetInterval_OatLeast(X0,tc_set(tc_nat)),tc_set(tc_nat))))),
% 81.75/11.17 introduced(definition,[new_symbols(definition,[sQ212_spl])],[split_symbol_definition])).
% 81.75/11.17 fof(f26152,plain,(
% 81.75/11.17 ~sQ210_spl|sQ212_spl|~sQ117_spl),
% 81.75/11.17 inference(split_clause,[status(thm)],[f26140,f26142,f26149,f21791])).
% 81.75/11.17 fof(f26153,plain,(
% 81.75/11.17 $false|sQ210_spl),
% 81.75/11.17 inference(forward_subsumption_resolution,[status(thm)],[f26144,f1765])).
% 81.75/11.17 fof(f26154,plain,(
% 81.75/11.17 sQ210_spl),
% 81.75/11.17 inference(contradiction_clause,[status(thm)],[f26153])).
% 81.75/11.17 fof(f26160,plain,(
% 81.75/11.17 ![X0]: (~class_Orderings_Oorder(tc_nat)|~c_lessequals(c_0,X0,tc_nat)|c_lessequals(c_SetInterval_OatLeast(X0,tc_nat),c_UNIV,tc_set(tc_nat))|~sQ117_spl)),
% 81.75/11.17 inference(paramodulation,[status(thm)],[f26134,f2864])).
% 81.75/11.17 fof(f26161,plain,(
% 81.75/11.17 ![X0]: (~class_Orderings_Oorder(tc_nat)|~c_lessequals(X0,c_0,tc_nat)|c_lessequals(c_UNIV,c_SetInterval_OatLeast(X0,tc_nat),tc_set(tc_nat))|~sQ117_spl)),
% 81.75/11.17 inference(paramodulation,[status(thm)],[f26134,f2864])).
% 81.75/11.17 fof(f26162,plain,(
% 81.75/11.17 ![X0]: (~class_Orderings_Oorder(tc_nat)|~c_lessequals(c_SetInterval_OatLeast(X0,tc_nat),c_UNIV,tc_set(tc_nat))|c_lessequals(c_0,X0,tc_nat)|~sQ117_spl)),
% 81.75/11.17 inference(paramodulation,[status(thm)],[f26134,f2863])).
% 81.75/11.17 fof(f26163,plain,(
% 81.75/11.17 ![X0]: (~class_Orderings_Oorder(tc_nat)|~c_lessequals(c_UNIV,c_SetInterval_OatLeast(X0,tc_nat),tc_set(tc_nat))|c_lessequals(X0,c_0,tc_nat)|~sQ117_spl)),
% 81.75/11.17 inference(paramodulation,[status(thm)],[f26134,f2863])).
% 81.75/11.17 fof(f26164,plain,(
% 81.75/11.17 ![X0]: (~class_Orderings_Oord(tc_nat)|~c_in(X0,c_UNIV,tc_nat)|c_lessequals(c_0,X0,tc_nat)|~sQ117_spl)),
% 81.75/11.17 inference(paramodulation,[status(thm)],[f26134,f2861])).
% 81.75/11.17 fof(f26165,definition,(
% 81.75/11.17 ![X0]: (sQ213_spl <=> (~c_lessequals(c_0,X0,tc_nat)|c_lessequals(c_SetInterval_OatLeast(X0,tc_nat),c_UNIV,tc_set(tc_nat))))),
% 81.75/11.17 introduced(definition,[new_symbols(definition,[sQ213_spl])],[split_symbol_definition])).
% 81.75/11.17 fof(f26168,plain,(
% 81.75/11.17 ~sQ83_spl|sQ213_spl|~sQ117_spl),
% 81.75/11.17 inference(split_clause,[status(thm)],[f26160,f18680,f26165,f21791])).
% 81.75/11.17 fof(f26169,definition,(
% 81.75/11.17 ![X0]: (sQ214_spl <=> (~c_lessequals(X0,c_0,tc_nat)|c_lessequals(c_UNIV,c_SetInterval_OatLeast(X0,tc_nat),tc_set(tc_nat))))),
% 81.75/11.17 introduced(definition,[new_symbols(definition,[sQ214_spl])],[split_symbol_definition])).
% 81.75/11.17 fof(f26172,plain,(
% 81.75/11.17 ~sQ83_spl|sQ214_spl|~sQ117_spl),
% 81.75/11.17 inference(split_clause,[status(thm)],[f26161,f18680,f26169,f21791])).
% 81.75/11.17 fof(f26173,definition,(
% 81.75/11.17 ![X0]: (sQ215_spl <=> (~c_lessequals(c_SetInterval_OatLeast(X0,tc_nat),c_UNIV,tc_set(tc_nat))|c_lessequals(c_0,X0,tc_nat)))),
% 81.75/11.17 introduced(definition,[new_symbols(definition,[sQ215_spl])],[split_symbol_definition])).
% 81.75/11.17 fof(f26176,plain,(
% 81.75/11.17 ~sQ83_spl|sQ215_spl|~sQ117_spl),
% 81.75/11.17 inference(split_clause,[status(thm)],[f26162,f18680,f26173,f21791])).
% 81.75/11.17 fof(f26177,definition,(
% 81.75/11.17 ![X0]: (sQ216_spl <=> (~c_lessequals(c_UNIV,c_SetInterval_OatLeast(X0,tc_nat),tc_set(tc_nat))|c_lessequals(X0,c_0,tc_nat)))),
% 81.75/11.17 introduced(definition,[new_symbols(definition,[sQ216_spl])],[split_symbol_definition])).
% 81.75/11.17 fof(f26180,plain,(
% 81.75/11.17 ~sQ83_spl|sQ216_spl|~sQ117_spl),
% 81.75/11.17 inference(split_clause,[status(thm)],[f26163,f18680,f26177,f21791])).
% 81.75/11.17 fof(f26181,definition,(
% 81.75/11.17 ![X0]: (sQ217_spl <=> (~c_in(X0,c_UNIV,tc_nat)|c_lessequals(c_0,X0,tc_nat)))),
% 81.75/11.17 introduced(definition,[new_symbols(definition,[sQ217_spl])],[split_symbol_definition])).
% 81.75/11.17 fof(f26184,plain,(
% 81.75/11.17 ~sQ111_spl|sQ217_spl|~sQ117_spl),
% 81.75/11.17 inference(split_clause,[status(thm)],[f26164,f21767,f26181,f21791])).
% 81.75/11.17 fof(f26350,plain,(
% 81.75/11.17 ~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_OKey(c_Public_OshrK(v_A)),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)|~sQ2_spl),
% 81.75/11.17 inference(resolution,[status(thm)],[f3059,f3115])).
% 81.75/11.17 fof(f26361,plain,(
% 81.75/11.17 ![X0,X1,X2]: (~c_in(X0,c_Message_Osynth(c_Message_Oanalz(X1)),tc_Message_Omsg)|c_in(X2,c_union(c_Message_Osynth(c_Message_Oanalz(X1)),c_Message_Oparts(X1),tc_Message_Omsg),tc_Message_Omsg)|~c_in(X2,c_insert(X0,X1,tc_Message_Omsg),tc_Message_Omsg))),
% 81.75/11.17 inference(resolution,[status(thm)],[f3059,f3046])).
% 81.75/11.17 fof(f26362,plain,(
% 81.75/11.17 ![X0,X1]: (~c_in(X0,c_Message_Oparts(c_UNIV),tc_Message_Omsg)|~c_in(X1,c_Message_Osynth(c_Message_Oanalz(c_UNIV)),tc_Message_Omsg)|c_in(X0,c_union(c_Message_Osynth(c_Message_Oanalz(c_UNIV)),c_Message_Oparts(c_UNIV),tc_Message_Omsg),tc_Message_Omsg))),
% 81.75/11.17 inference(paramodulation,[status(thm)],[f21215,f3059])).
% 81.75/11.17 fof(f26364,definition,(
% 81.75/11.17 sQ218_spl <=> (c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_union(c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg),tc_Message_Omsg))),
% 81.75/11.17 introduced(definition,[new_symbols(definition,[sQ218_spl])],[split_symbol_definition])).
% 81.75/11.17 fof(f26365,plain,(
% 81.75/11.17 c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_union(c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg),tc_Message_Omsg)|~sQ218_spl),
% 81.75/11.17 inference(component_clause,[status(thm)],[f26364])).
% 81.75/11.17 fof(f26367,plain,(
% 81.75/11.17 ~sQ4_spl|sQ218_spl|~sQ2_spl),
% 81.75/11.17 inference(split_clause,[status(thm)],[f26350,f7568,f26364,f3114])).
% 81.75/11.17 fof(f26374,definition,(
% 81.75/11.17 ![X0]: (sQ219_spl <=> (~c_in(X0,c_Message_Oparts(c_UNIV),tc_Message_Omsg)|c_in(X0,c_union(c_Message_Osynth(c_Message_Oanalz(c_UNIV)),c_Message_Oparts(c_UNIV),tc_Message_Omsg),tc_Message_Omsg)))),
% 81.75/11.17 introduced(definition,[new_symbols(definition,[sQ219_spl])],[split_symbol_definition])).
% 81.75/11.18 fof(f26377,definition,(
% 81.75/11.18 ![X1]: (sQ220_spl <=> (~c_in(X1,c_Message_Osynth(c_Message_Oanalz(c_UNIV)),tc_Message_Omsg)))),
% 81.75/11.18 introduced(definition,[new_symbols(definition,[sQ220_spl])],[split_symbol_definition])).
% 81.75/11.18 fof(f26378,plain,(
% 81.75/11.18 ![X0]: (~c_in(X0,c_Message_Osynth(c_Message_Oanalz(c_UNIV)),tc_Message_Omsg)|~sQ220_spl)),
% 81.75/11.18 inference(component_clause,[status(thm)],[f26377])).
% 81.75/11.18 fof(f26380,plain,(
% 81.75/11.18 sQ219_spl|sQ220_spl),
% 81.75/11.18 inference(split_clause,[status(thm)],[f26362,f26374,f26377])).
% 81.75/11.18 fof(f26447,plain,(
% 81.75/11.18 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)|c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_Message_Omsg)|~sQ218_spl),
% 81.75/11.18 inference(resolution,[status(thm)],[f26365,f2909])).
% 81.75/11.18 fof(f26448,definition,(
% 81.75/11.18 sQ221_spl <=> (c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_Message_Omsg))),
% 81.75/11.18 introduced(definition,[new_symbols(definition,[sQ221_spl])],[split_symbol_definition])).
% 81.75/11.18 fof(f26449,plain,(
% 81.75/11.18 c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_Message_Omsg)|~sQ221_spl),
% 81.75/11.18 inference(component_clause,[status(thm)],[f26448])).
% 81.75/11.18 fof(f26451,plain,(
% 81.75/11.18 sQ1_spl|sQ221_spl|~sQ218_spl),
% 81.75/11.18 inference(split_clause,[status(thm)],[f26447,f3109,f26448,f26364])).
% 81.75/11.18 fof(f26539,plain,(
% 81.75/11.18 ![X0]: (X0=c_0|~class_Orderings_Oord(tc_nat)|c_less(c_0,X0,tc_nat)|~sQ142_spl)),
% 81.75/11.18 inference(resolution,[status(thm)],[f22372,f2873])).
% 81.75/11.18 fof(f26540,definition,(
% 81.75/11.18 ![X0]: (sQ224_spl <=> (X0=c_0|c_less(c_0,X0,tc_nat)))),
% 81.75/11.18 introduced(definition,[new_symbols(definition,[sQ224_spl])],[split_symbol_definition])).
% 81.75/11.18 fof(f26543,plain,(
% 81.75/11.18 sQ224_spl|~sQ111_spl|~sQ142_spl),
% 81.75/11.18 inference(split_clause,[status(thm)],[f26539,f26540,f21767,f22371])).
% 81.75/11.18 fof(f26812,plain,(
% 81.75/11.18 ![X0,X1]: (~c_in(X0,c_Message_Osynth(c_Message_Oanalz(c_UNIV)),tc_Message_Omsg)|c_in(X1,c_union(c_Message_Osynth(c_Message_Oanalz(c_UNIV)),c_Message_Oparts(c_UNIV),tc_Message_Omsg),tc_Message_Omsg)|~c_in(X1,c_UNIV,tc_Message_Omsg))),
% 49.23/11.25 inference(paramodulation,[status(thm)],[f21215,f26361])).
% 49.23/11.25 fof(f26817,definition,(
% 49.23/11.25 ![X1]: (sQ228_spl <=> (c_in(X1,c_union(c_Message_Osynth(c_Message_Oanalz(c_UNIV)),c_Message_Oparts(c_UNIV),tc_Message_Omsg),tc_Message_Omsg)|~c_in(X1,c_UNIV,tc_Message_Omsg)))),
% 49.23/11.25 introduced(definition,[new_symbols(definition,[sQ228_spl])],[split_symbol_definition])).
% 49.23/11.25 fof(f26820,plain,(
% 49.23/11.25 sQ220_spl|sQ228_spl),
% 49.23/11.25 inference(split_clause,[status(thm)],[f26812,f26377,f26817])).
% 49.23/11.25 fof(f26821,plain,(
% 49.23/11.25 ![X0]: (~c_in(X0,c_Message_Osynth(c_UNIV),tc_Message_Omsg)|~sQ220_spl)),
% 49.23/11.25 inference(forward_demodulation,[status(thm)],[f17964,f26378])).
% 49.23/11.25 fof(f26822,plain,(
% 49.23/11.25 ![X0]: (~c_in(X0,c_UNIV,tc_Message_Omsg)|~sQ220_spl)),
% 49.23/11.25 inference(forward_demodulation,[status(thm)],[f17967,f26821])).
% 49.23/11.25 fof(f26823,plain,(
% 49.23/11.25 $false|~sQ220_spl),
% 49.23/11.25 inference(forward_subsumption_resolution,[status(thm)],[f26822,f1602])).
% 49.23/11.26 fof(f26824,plain,(
% 49.23/11.26 ~sQ220_spl),
% 49.23/11.26 inference(contradiction_clause,[status(thm)],[f26823])).
% 49.23/11.26 fof(f27167,plain,(
% 49.23/11.26 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)|~sQ221_spl),
% 49.23/11.26 inference(resolution,[status(thm)],[f26449,f3000])).
% 49.23/11.26 fof(f27496,plain,(
% 49.23/11.26 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)|~sQ221_spl),
% 49.23/11.26 inference(resolution,[status(thm)],[f27167,f3062])).
% 49.23/11.26 fof(f27497,plain,(
% 49.23/11.26 sQ1_spl|~sQ221_spl),
% 49.23/11.26 inference(split_clause,[status(thm)],[f27496,f3109,f26448])).
% 49.23/11.26 fof(f27498,plain,(
% 49.23/11.26 $false),
% 49.23/11.26 inference(sat_refutation,[status(thm)],[f3112,f3117,f3118,f7571,f7575,f7579,f7583,f7587,f7591,f7595,f7599,f7603,f7607,f7726,f7941,f8854,f8858,f8972,f8976,f9032,f9052,f9313,f9342,f9350,f9524,f9528,f9532,f9536,f9579,f9719,f9800,f9917,f9921,f9925,f9929,f10013,f10017,f10021,f10025,f10283,f10289,f11037,f11044,f11048,f11052,f11056,f11060,f11064,f11068,f11072,f11076,f11080,f11084,f11088,f11092,f11204,f14228,f14247,f14249,f14647,f14649,f15964,f18127,f18243,f18651,f18683,f18812,f18820,f18862,f18892,f18917,f18969,f19521,f19526,f19530,f19534,f19540,f19545,f19550,f19650,f19652,f19746,f20080,f20084,f20088,f20092,f20097,f20102,f20106,f21557,f21740,f21773,f21781,f21785,f21789,f21794,f21798,f21805,f21810,f21814,f21818,f21825,f21829,f21831,f21833,f21945,f21950,f21954,f21958,f21963,f21967,f21971,f21976,f21980,f21984,f21991,f22349,f22354,f22358,f22362,f22366,f22370,f22374,f22378,f22383,f22387,f22391,f22396,f22501,f22505,f22510,f22721,f22766,f22771,f22775,f22779,f22783,f22787,f22791,f22795,f22800,f22804,f22808,f22813,f25433,f25438,f26132,f26148,f26152,f26154,f26168,f26172,f26176,f26180,f26184,f26367,f26380,f26451,f26543,f26820,f26824,f27497])).
% 49.23/11.26 % SZS output end CNFRefutation for theBenchmark.p
% 49.50/11.31 % Elapsed time: 10.927162 seconds
% 49.50/11.31 % CPU time: 85.354637 seconds
% 49.50/11.31 % Total memory used: 1.226 GB
% 49.50/11.31 % Net memory used: 1.189 GB
%------------------------------------------------------------------------------