TSTP Solution File: SWV291-1 by Drodi---3.6.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : SWV291-1 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n019.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Apr 30 20:46:33 EDT 2024
% Result : Unsatisfiable 136.89s 17.71s
% Output : CNFRefutation 139.03s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : SWV291-1 : TPTP v8.1.2. Released v3.2.0.
% 0.12/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.34 % Computer : n019.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Tue Apr 30 00:53:44 EDT 2024
% 0.13/0.34 % CPUTime :
% 0.13/0.39 % Drodi V3.6.0
% 136.89/17.71 % Refutation found
% 136.89/17.71 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 136.89/17.71 % SZS output start CNFRefutation for theBenchmark
% 136.89/17.71 fof(f32,axiom,(
% 136.89/17.71 (![V_A,T_a]: (( ~ c_in(V_A,c_Finite__Set_OFinites,tc_set(tc_set(T_a)))| c_in(c_Main_Ofinite__Union__1(V_A,T_a),V_A,tc_set(T_a))| c_in(c_Union(V_A,T_a),c_Finite__Set_OFinites,tc_set(T_a)) ) ))),
% 136.89/17.71 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 136.89/17.71 fof(f45,axiom,(
% 136.89/17.71 (![V_xs,T_a]: (c_in(c_List_Oset(V_xs,T_a),c_Finite__Set_OFinites,tc_set(T_a)) ))),
% 136.89/17.71 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 136.89/17.71 fof(f66,axiom,(
% 136.89/17.71 (![V_n]: (~ c_less(V_n,V_n,tc_nat) ))),
% 136.89/17.71 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 136.89/17.71 fof(f67,axiom,(
% 136.89/17.71 (![V_n]: (c_less(c_0,c_Suc(V_n),tc_nat) ))),
% 136.89/17.71 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 136.89/17.71 fof(f73,axiom,(
% 136.89/17.71 (![V_b,V_r,V_A,T_b,T_a]: (( ~ c_in(V_b,c_Relation_OImage(V_r,V_A,T_b,T_a),T_a)| c_in(c_Pair(c_Main_OImageE__1(V_A,V_b,V_r,T_b,T_a),V_b,T_b,T_a),V_r,tc_prod(T_b,T_a)) ) ))),
% 136.89/17.71 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 136.89/17.71 fof(f75,axiom,(
% 136.89/17.71 (![V_b,V_r,T_b,T_a]: (( ~ c_in(V_b,c_Relation_ORange(V_r,T_b,T_a),T_a)| c_in(c_Pair(c_Main_ORangeE__1(V_b,V_r,T_a,T_b),V_b,T_b,T_a),V_r,tc_prod(T_b,T_a)) ) ))),
% 136.89/17.71 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 136.89/17.71 fof(f101,axiom,(
% 136.89/17.71 (![V_A,T_a]: (c_lessequals(c_emptyset,V_A,tc_set(T_a)) ))),
% 136.89/17.71 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 136.89/17.71 fof(f109,axiom,(
% 136.89/17.71 (![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)) ) ))),
% 136.89/17.71 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 136.89/17.71 fof(f111,axiom,(
% 136.89/17.71 (![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 ) ))),
% 136.89/17.71 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 136.89/17.71 fof(f248,axiom,(
% 136.89/17.71 (![T_1]: (class_Orderings_Oord(tc_set(T_1)) ))),
% 136.89/17.71 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 136.89/17.71 fof(f1164,axiom,(
% 136.89/17.71 (![V_a_H,T_a]: (c_Datatype_Ooption_ONone != c_Datatype_Ooption_OSome(V_a_H,T_a) ))),
% 136.89/17.71 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 136.89/17.71 fof(f1232,axiom,(
% 136.89/17.71 (![V_xs,T_a]: (( c_Nat_Osize(V_xs,tc_List_Olist(T_a)) != c_0| V_xs = c_List_Olist_ONil ) ))),
% 136.89/17.71 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 136.89/17.71 fof(f1238,axiom,(
% 136.89/17.71 (![V_a_H,V_list_H,T_a]: (c_List_Olist_ONil != c_List_Olist_OCons(V_a_H,V_list_H,T_a) ))),
% 136.89/17.71 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 136.89/17.71 fof(f1253,axiom,(
% 136.89/17.71 (![T_a]: (c_emptyset = c_List_Oset(c_List_Olist_ONil,T_a) ))),
% 136.89/17.71 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 136.89/17.71 fof(f1261,axiom,(
% 136.89/17.71 (![V_m]: (c_Suc(V_m) != c_0 ))),
% 136.89/17.71 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 136.89/17.71 fof(f1285,axiom,(
% 136.89/17.71 (![V_a,T_a]: (c_in(c_Pair(V_a,V_a,T_a,T_a),c_Relation_OId,tc_prod(T_a,T_a)) ))),
% 136.89/17.71 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 136.89/17.71 fof(f1287,axiom,(
% 136.89/17.71 (![V_a,V_b,T_b,T_a,V_r]: (( ~ c_in(c_Pair(V_a,V_b,T_b,T_a),V_r,tc_prod(T_b,T_a))| c_in(V_b,c_Relation_OImage(V_r,c_insert(V_a,c_emptyset,T_b),T_b,T_a),T_a) ) ))),
% 136.89/17.71 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 136.89/17.71 fof(f1328,axiom,(
% 136.89/17.71 (![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) ) ))),
% 136.89/17.71 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 136.89/17.71 fof(f1333,axiom,(
% 136.89/17.71 (![V_a,T_a]: (~ c_in(V_a,c_emptyset,T_a) ))),
% 136.89/17.71 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 136.89/17.71 fof(f1359,axiom,(
% 136.89/17.71 c_in(c_Message_Oagent_OSpy,c_Event_Obad,tc_Message_Oagent) ),
% 136.89/17.71 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 136.89/17.71 fof(f1374,axiom,(
% 136.89/17.71 (![V_K,V_X,V_H]: (( ~ c_in(c_Message_Omsg_OCrypt(V_K,V_X),c_Message_Osynth(V_H),tc_Message_Omsg)| c_in(c_Message_Omsg_OCrypt(V_K,V_X),V_H,tc_Message_Omsg)| c_in(c_Message_Omsg_OKey(V_K),V_H,tc_Message_Omsg) ) ))),
% 136.89/17.71 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 136.89/17.71 fof(f1404,axiom,(
% 136.89/17.71 (![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) ) ))),
% 136.89/17.71 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 136.89/17.71 fof(f1406,axiom,(
% 136.89/17.71 (![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) ) ))),
% 136.89/17.71 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 136.89/17.71 fof(f1427,axiom,(
% 136.89/17.71 (![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) ) ))),
% 136.89/17.71 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 136.89/17.71 fof(f1430,axiom,(
% 136.89/17.71 (![V_agt,V_H]: (c_in(c_Message_Omsg_OAgent(V_agt),c_Message_Osynth(V_H),tc_Message_Omsg) ))),
% 136.89/17.71 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 136.89/17.71 fof(f1433,axiom,(
% 136.89/17.71 (![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) ) ))),
% 136.89/17.71 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 136.89/17.71 fof(f1434,axiom,(
% 136.89/17.71 (![V_Y,V_H,V_X]: (( ~ c_in(V_Y,c_Message_Osynth(V_H),tc_Message_Omsg)| ~ c_in(V_X,c_Message_Osynth(V_H),tc_Message_Omsg)| c_in(c_Message_Omsg_OMPair(V_X,V_Y),c_Message_Osynth(V_H),tc_Message_Omsg) ) ))),
% 136.89/17.71 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 136.89/17.71 fof(f1438,axiom,(
% 136.89/17.71 (![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) ) ))),
% 136.89/17.71 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 136.89/17.71 fof(f1440,axiom,(
% 136.89/17.71 (![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) ) ))),
% 136.89/17.71 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 136.89/17.71 fof(f1446,axiom,(
% 136.89/17.71 (![V_A,V_b,V_evs]: (( ~ c_in(V_A,c_Event_Obad,tc_Message_Oagent)| c_in(c_Message_Omsg_OKey(c_Message_OinvKey(c_Public_OpublicKey(V_b,V_A))),c_Event_Oknows(c_Message_Oagent_OSpy,V_evs),tc_Message_Omsg) ) ))),
% 136.89/17.72 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 136.89/17.72 fof(f1448,axiom,(
% 136.89/17.72 (![V_b,V_A,V_evs]: (c_in(c_Message_Omsg_OKey(c_Public_OpublicKey(V_b,V_A)),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg) ))),
% 136.89/17.72 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 136.89/17.72 fof(f1463,axiom,(
% 136.89/17.72 (![V_X]: (c_in(c_Public_OshrK(V_X),c_Message_OsymKeys,tc_nat) ))),
% 136.89/17.72 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 136.89/17.72 fof(f1465,axiom,(
% 136.89/17.72 (![V_A,V_evs]: (c_in(c_Message_Omsg_OKey(c_Public_OshrK(V_A)),c_Event_Oknows(V_A,V_evs),tc_Message_Omsg) ))),
% 136.89/17.72 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 136.89/17.72 fof(f1471,axiom,(
% 136.89/17.72 (![V_evs,V_A]: (( ~ c_in(V_evs,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent))| ~ c_in(c_Message_Omsg_OKey(c_Public_OshrK(V_A)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg)| c_in(V_A,c_Event_Obad,tc_Message_Oagent) ) ))),
% 136.89/17.72 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 136.89/17.72 fof(f1472,negated_conjecture,(
% 136.89/17.72 ~ c_in(v_A,c_Event_Obad,tc_Message_Oagent) ),
% 136.89/17.72 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 136.89/17.72 fof(f1473,negated_conjecture,(
% 136.89/17.72 c_in(v_evsf,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent)) ),
% 136.89/17.72 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 136.89/17.72 fof(f1474,negated_conjecture,(
% 136.89/17.72 c_in(v_X,c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_Message_Omsg) ),
% 136.89/17.72 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 136.89/17.72 fof(f1475,negated_conjecture,(
% 136.89/17.72 c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_B)))),c_Message_Oparts(c_insert(v_X,c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf),tc_Message_Omsg)),tc_Message_Omsg) ),
% 136.89/17.72 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 136.89/17.72 fof(f1476,negated_conjecture,(
% 136.89/17.72 ~ c_in(c_Event_Oevent_OSays(v_A,v_B,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_B)))))))),c_List_Oset(v_evsf,tc_Event_Oevent),tc_Event_Oevent) ),
% 136.89/17.72 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 136.89/17.72 fof(f1477,negated_conjecture,(
% 136.89/17.72 ( c_in(c_Event_Oevent_OSays(v_A,v_B,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_B)))))))),c_List_Oset(v_evsf,tc_Event_Oevent),tc_Event_Oevent)| ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_B)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg) ) ),
% 136.89/17.72 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 136.89/17.72 fof(f1527,plain,(
% 136.89/17.72 ![X0,X1]: (~c_in(X0,c_Finite__Set_OFinites,tc_set(tc_set(X1)))|c_in(c_Main_Ofinite__Union__1(X0,X1),X0,tc_set(X1))|c_in(c_Union(X0,X1),c_Finite__Set_OFinites,tc_set(X1)))),
% 136.89/17.72 inference(cnf_transformation,[status(esa)],[f32])).
% 136.89/17.72 fof(f1541,plain,(
% 136.89/17.72 ![X0,X1]: (c_in(c_List_Oset(X0,X1),c_Finite__Set_OFinites,tc_set(X1)))),
% 136.89/17.72 inference(cnf_transformation,[status(esa)],[f45])).
% 136.89/17.72 fof(f1567,plain,(
% 136.89/17.72 ![X0]: (~c_less(X0,X0,tc_nat))),
% 136.89/17.72 inference(cnf_transformation,[status(esa)],[f66])).
% 136.89/17.72 fof(f1568,plain,(
% 136.89/17.72 ![X0]: (c_less(c_0,c_Suc(X0),tc_nat))),
% 136.89/17.72 inference(cnf_transformation,[status(esa)],[f67])).
% 136.89/17.72 fof(f1576,plain,(
% 136.89/17.72 ![X0,X1,X2,X3,X4]: (~c_in(X0,c_Relation_OImage(X1,X2,X3,X4),X4)|c_in(c_Pair(c_Main_OImageE__1(X2,X0,X1,X3,X4),X0,X3,X4),X1,tc_prod(X3,X4)))),
% 136.89/17.72 inference(cnf_transformation,[status(esa)],[f73])).
% 136.89/17.72 fof(f1579,plain,(
% 136.89/17.72 ![X0,X1,X2,X3]: (~c_in(X0,c_Relation_ORange(X1,X2,X3),X3)|c_in(c_Pair(c_Main_ORangeE__1(X0,X1,X3,X2),X0,X2,X3),X1,tc_prod(X2,X3)))),
% 136.89/17.72 inference(cnf_transformation,[status(esa)],[f75])).
% 136.89/17.72 fof(f1607,plain,(
% 136.89/17.72 ![X0,X1]: (c_lessequals(c_emptyset,X0,tc_set(X1)))),
% 136.89/17.72 inference(cnf_transformation,[status(esa)],[f101])).
% 136.89/17.72 fof(f1619,plain,(
% 136.89/17.72 ![X0,X1,X2]: (c_in(c_Main_OsubsetI__1(X0,X1,X2),X0,X2)|c_lessequals(X0,X1,tc_set(X2)))),
% 136.89/17.72 inference(cnf_transformation,[status(esa)],[f109])).
% 136.89/17.72 fof(f1621,plain,(
% 136.89/17.72 ![V_B,V_A]: ((![T_a]: (~c_lessequals(V_B,V_A,tc_set(T_a))|~c_lessequals(V_A,V_B,tc_set(T_a))))|V_A=V_B)),
% 136.89/17.72 inference(miniscoping,[status(esa)],[f111])).
% 136.89/17.72 fof(f1622,plain,(
% 136.89/17.72 ![X0,X1,X2]: (~c_lessequals(X0,X1,tc_set(X2))|~c_lessequals(X1,X0,tc_set(X2))|X1=X0)),
% 136.89/17.72 inference(cnf_transformation,[status(esa)],[f1621])).
% 136.89/17.72 fof(f1767,plain,(
% 136.89/17.72 ![X0]: (class_Orderings_Oord(tc_set(X0)))),
% 136.89/17.72 inference(cnf_transformation,[status(esa)],[f248])).
% 136.89/17.72 fof(f2686,plain,(
% 136.89/17.72 ![X0,X1]: (~c_Datatype_Ooption_ONone=c_Datatype_Ooption_OSome(X0,X1))),
% 136.89/17.72 inference(cnf_transformation,[status(esa)],[f1164])).
% 136.89/17.72 fof(f2782,plain,(
% 136.89/17.72 ![V_xs]: ((![T_a]: ~c_Nat_Osize(V_xs,tc_List_Olist(T_a))=c_0)|V_xs=c_List_Olist_ONil)),
% 136.89/17.72 inference(miniscoping,[status(esa)],[f1232])).
% 136.89/17.72 fof(f2783,plain,(
% 136.89/17.72 ![X0,X1]: (~c_Nat_Osize(X0,tc_List_Olist(X1))=c_0|X0=c_List_Olist_ONil)),
% 136.89/17.72 inference(cnf_transformation,[status(esa)],[f2782])).
% 136.89/17.72 fof(f2790,plain,(
% 136.89/17.72 ![X0,X1,X2]: (~c_List_Olist_ONil=c_List_Olist_OCons(X0,X1,X2))),
% 136.89/17.72 inference(cnf_transformation,[status(esa)],[f1238])).
% 136.89/17.72 fof(f2813,plain,(
% 136.89/17.72 ![X0]: (c_emptyset=c_List_Oset(c_List_Olist_ONil,X0))),
% 136.89/17.72 inference(cnf_transformation,[status(esa)],[f1253])).
% 136.89/17.72 fof(f2822,plain,(
% 136.89/17.72 ![X0]: (~c_Suc(X0)=c_0)),
% 136.89/17.72 inference(cnf_transformation,[status(esa)],[f1261])).
% 136.89/17.72 fof(f2854,plain,(
% 136.89/17.72 ![X0,X1]: (c_in(c_Pair(X0,X0,X1,X1),c_Relation_OId,tc_prod(X1,X1)))),
% 136.89/17.72 inference(cnf_transformation,[status(esa)],[f1285])).
% 136.89/17.72 fof(f2856,plain,(
% 136.89/17.72 ![X0,X1,X2,X3,X4]: (~c_in(c_Pair(X0,X1,X2,X3),X4,tc_prod(X2,X3))|c_in(X1,c_Relation_OImage(X4,c_insert(X0,c_emptyset,X2),X2,X3),X3))),
% 136.89/17.72 inference(cnf_transformation,[status(esa)],[f1287])).
% 136.89/17.72 fof(f2910,plain,(
% 136.89/17.72 ![V_c,V_A,T_a]: ((![V_B]: (~c_in(V_c,c_union(V_A,V_B,T_a),T_a)|c_in(V_c,V_B,T_a)))|c_in(V_c,V_A,T_a))),
% 136.89/17.72 inference(miniscoping,[status(esa)],[f1328])).
% 136.89/17.72 fof(f2911,plain,(
% 136.89/17.72 ![X0,X1,X2,X3]: (~c_in(X0,c_union(X1,X2,X3),X3)|c_in(X0,X2,X3)|c_in(X0,X1,X3))),
% 136.89/17.72 inference(cnf_transformation,[status(esa)],[f2910])).
% 136.89/17.72 fof(f2919,plain,(
% 136.89/17.72 ![X0,X1]: (~c_in(X0,c_emptyset,X1))),
% 136.89/17.72 inference(cnf_transformation,[status(esa)],[f1333])).
% 136.89/17.72 fof(f2955,plain,(
% 136.89/17.72 c_in(c_Message_Oagent_OSpy,c_Event_Obad,tc_Message_Oagent)),
% 136.89/17.72 inference(cnf_transformation,[status(esa)],[f1359])).
% 136.89/17.72 fof(f2977,plain,(
% 136.89/17.72 ![V_K,V_H]: ((![V_X]: (~c_in(c_Message_Omsg_OCrypt(V_K,V_X),c_Message_Osynth(V_H),tc_Message_Omsg)|c_in(c_Message_Omsg_OCrypt(V_K,V_X),V_H,tc_Message_Omsg)))|c_in(c_Message_Omsg_OKey(V_K),V_H,tc_Message_Omsg))),
% 136.89/17.72 inference(miniscoping,[status(esa)],[f1374])).
% 136.89/17.72 fof(f2978,plain,(
% 136.89/17.72 ![X0,X1,X2]: (~c_in(c_Message_Omsg_OCrypt(X0,X1),c_Message_Osynth(X2),tc_Message_Omsg)|c_in(c_Message_Omsg_OCrypt(X0,X1),X2,tc_Message_Omsg)|c_in(c_Message_Omsg_OKey(X0),X2,tc_Message_Omsg))),
% 136.89/17.72 inference(cnf_transformation,[status(esa)],[f2977])).
% 136.89/17.72 fof(f3018,plain,(
% 136.89/17.72 ![V_X,V_H]: ((![V_Y]: ~c_in(c_Message_Omsg_OMPair(V_X,V_Y),c_Message_Osynth(c_Message_Oanalz(V_H)),tc_Message_Omsg))|c_in(V_X,c_Message_Osynth(c_Message_Oanalz(V_H)),tc_Message_Omsg))),
% 136.89/17.72 inference(miniscoping,[status(esa)],[f1404])).
% 136.89/17.72 fof(f3019,plain,(
% 136.89/17.72 ![X0,X1,X2]: (~c_in(c_Message_Omsg_OMPair(X0,X1),c_Message_Osynth(c_Message_Oanalz(X2)),tc_Message_Omsg)|c_in(X0,c_Message_Osynth(c_Message_Oanalz(X2)),tc_Message_Omsg))),
% 136.89/17.72 inference(cnf_transformation,[status(esa)],[f3018])).
% 136.89/17.72 fof(f3022,plain,(
% 136.89/17.72 ![X0,X1,X2]: (~c_in(X0,c_Message_Osynth(c_Message_Oanalz(X1)),tc_Message_Omsg)|~c_in(X2,c_Message_Osynth(c_Message_Oanalz(X1)),tc_Message_Omsg)|c_in(c_Message_Omsg_OMPair(X2,X0),c_Message_Osynth(c_Message_Oanalz(X1)),tc_Message_Omsg))),
% 136.89/17.72 inference(cnf_transformation,[status(esa)],[f1406])).
% 136.89/17.72 fof(f3048,plain,(
% 136.89/17.72 ![X0,X1]: (~c_in(X0,X1,tc_Message_Omsg)|c_in(X0,c_Message_Oparts(X1),tc_Message_Omsg))),
% 136.89/17.72 inference(cnf_transformation,[status(esa)],[f1427])).
% 136.89/17.72 fof(f3051,plain,(
% 136.89/17.72 ![X0,X1]: (c_in(c_Message_Omsg_OAgent(X0),c_Message_Osynth(X1),tc_Message_Omsg))),
% 136.89/17.72 inference(cnf_transformation,[status(esa)],[f1430])).
% 136.89/17.72 fof(f3054,plain,(
% 136.89/17.72 ![X0,X1]: (~c_in(X0,X1,tc_Message_Omsg)|c_in(X0,c_Message_Osynth(X1),tc_Message_Omsg))),
% 136.89/17.72 inference(cnf_transformation,[status(esa)],[f1433])).
% 136.89/17.72 fof(f3055,plain,(
% 136.89/17.72 ![X0,X1,X2]: (~c_in(X0,c_Message_Osynth(X1),tc_Message_Omsg)|~c_in(X2,c_Message_Osynth(X1),tc_Message_Omsg)|c_in(c_Message_Omsg_OMPair(X2,X0),c_Message_Osynth(X1),tc_Message_Omsg))),
% 136.89/17.72 inference(cnf_transformation,[status(esa)],[f1434])).
% 136.89/17.72 fof(f3060,plain,(
% 136.89/17.72 ![V_Z,V_H]: ((![V_X]: (~c_in(V_Z,c_Message_Oparts(c_insert(V_X,V_H,tc_Message_Omsg)),tc_Message_Omsg)|~c_in(V_X,c_Message_Osynth(c_Message_Oanalz(V_H)),tc_Message_Omsg)))|c_in(V_Z,c_union(c_Message_Osynth(c_Message_Oanalz(V_H)),c_Message_Oparts(V_H),tc_Message_Omsg),tc_Message_Omsg))),
% 136.89/17.72 inference(miniscoping,[status(esa)],[f1438])).
% 136.89/17.72 fof(f3061,plain,(
% 136.89/17.72 ![X0,X1,X2]: (~c_in(X0,c_Message_Oparts(c_insert(X1,X2,tc_Message_Omsg)),tc_Message_Omsg)|~c_in(X1,c_Message_Osynth(c_Message_Oanalz(X2)),tc_Message_Omsg)|c_in(X0,c_union(c_Message_Osynth(c_Message_Oanalz(X2)),c_Message_Oparts(X2),tc_Message_Omsg),tc_Message_Omsg))),
% 136.89/17.72 inference(cnf_transformation,[status(esa)],[f3060])).
% 136.89/17.72 fof(f3064,plain,(
% 136.89/17.72 ![X0,X1]: (~c_in(X0,c_Message_Oanalz(X1),tc_Message_Omsg)|c_in(X0,c_Message_Oparts(X1),tc_Message_Omsg))),
% 136.89/17.72 inference(cnf_transformation,[status(esa)],[f1440])).
% 136.89/17.72 fof(f3073,plain,(
% 136.89/17.72 ![V_A]: (~c_in(V_A,c_Event_Obad,tc_Message_Oagent)|(![V_b,V_evs]: c_in(c_Message_Omsg_OKey(c_Message_OinvKey(c_Public_OpublicKey(V_b,V_A))),c_Event_Oknows(c_Message_Oagent_OSpy,V_evs),tc_Message_Omsg)))),
% 136.89/17.72 inference(miniscoping,[status(esa)],[f1446])).
% 136.89/17.72 fof(f3074,plain,(
% 136.89/17.72 ![X0,X1,X2]: (~c_in(X0,c_Event_Obad,tc_Message_Oagent)|c_in(c_Message_Omsg_OKey(c_Message_OinvKey(c_Public_OpublicKey(X1,X0))),c_Event_Oknows(c_Message_Oagent_OSpy,X2),tc_Message_Omsg))),
% 136.89/17.72 inference(cnf_transformation,[status(esa)],[f3073])).
% 136.89/17.72 fof(f3077,plain,(
% 136.89/17.72 ![X0,X1,X2]: (c_in(c_Message_Omsg_OKey(c_Public_OpublicKey(X0,X1)),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X2)),tc_Message_Omsg))),
% 136.89/17.72 inference(cnf_transformation,[status(esa)],[f1448])).
% 136.89/17.72 fof(f3094,plain,(
% 136.89/17.72 ![X0]: (c_in(c_Public_OshrK(X0),c_Message_OsymKeys,tc_nat))),
% 136.89/17.72 inference(cnf_transformation,[status(esa)],[f1463])).
% 136.89/17.72 fof(f3096,plain,(
% 136.89/17.72 ![X0,X1]: (c_in(c_Message_Omsg_OKey(c_Public_OshrK(X0)),c_Event_Oknows(X0,X1),tc_Message_Omsg))),
% 136.89/17.72 inference(cnf_transformation,[status(esa)],[f1465])).
% 136.89/17.72 fof(f3102,plain,(
% 136.89/17.72 ![V_A]: ((![V_evs]: (~c_in(V_evs,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent))|~c_in(c_Message_Omsg_OKey(c_Public_OshrK(V_A)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg)))|c_in(V_A,c_Event_Obad,tc_Message_Oagent))),
% 136.89/17.72 inference(miniscoping,[status(esa)],[f1471])).
% 136.89/17.72 fof(f3103,plain,(
% 136.89/17.72 ![X0,X1]: (~c_in(X0,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent))|~c_in(c_Message_Omsg_OKey(c_Public_OshrK(X1)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X0)),tc_Message_Omsg)|c_in(X1,c_Event_Obad,tc_Message_Oagent))),
% 136.89/17.72 inference(cnf_transformation,[status(esa)],[f3102])).
% 136.89/17.72 fof(f3104,plain,(
% 136.89/17.72 ~c_in(v_A,c_Event_Obad,tc_Message_Oagent)),
% 136.89/17.72 inference(cnf_transformation,[status(esa)],[f1472])).
% 136.89/17.72 fof(f3105,plain,(
% 136.89/17.72 c_in(v_evsf,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent))),
% 136.89/17.72 inference(cnf_transformation,[status(esa)],[f1473])).
% 136.89/17.72 fof(f3106,plain,(
% 136.89/17.72 c_in(v_X,c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_Message_Omsg)),
% 136.89/17.72 inference(cnf_transformation,[status(esa)],[f1474])).
% 136.89/17.72 fof(f3107,plain,(
% 136.89/17.72 c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_B)))),c_Message_Oparts(c_insert(v_X,c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf),tc_Message_Omsg)),tc_Message_Omsg)),
% 136.89/17.72 inference(cnf_transformation,[status(esa)],[f1475])).
% 136.89/17.72 fof(f3108,plain,(
% 136.89/17.72 ~c_in(c_Event_Oevent_OSays(v_A,v_B,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_B)))))))),c_List_Oset(v_evsf,tc_Event_Oevent),tc_Event_Oevent)),
% 136.89/17.72 inference(cnf_transformation,[status(esa)],[f1476])).
% 136.89/17.72 fof(f3109,plain,(
% 136.89/17.72 c_in(c_Event_Oevent_OSays(v_A,v_B,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_B)))))))),c_List_Oset(v_evsf,tc_Event_Oevent),tc_Event_Oevent)|~c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_B)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg)),
% 136.89/17.72 inference(cnf_transformation,[status(esa)],[f1477])).
% 136.89/17.72 fof(f3111,plain,(
% 136.89/17.72 spl0_0 <=> c_in(c_Event_Oevent_OSays(v_A,v_B,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_B)))))))),c_List_Oset(v_evsf,tc_Event_Oevent),tc_Event_Oevent)),
% 136.89/17.72 introduced(split_symbol_definition)).
% 136.89/17.72 fof(f3112,plain,(
% 136.89/17.72 c_in(c_Event_Oevent_OSays(v_A,v_B,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_B)))))))),c_List_Oset(v_evsf,tc_Event_Oevent),tc_Event_Oevent)|~spl0_0),
% 136.89/17.72 inference(component_clause,[status(thm)],[f3111])).
% 136.89/17.72 fof(f3114,plain,(
% 136.89/17.72 spl0_1 <=> c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_B)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg)),
% 136.89/17.72 introduced(split_symbol_definition)).
% 136.89/17.72 fof(f3116,plain,(
% 136.89/17.72 ~c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_B)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg)|spl0_1),
% 136.89/17.72 inference(component_clause,[status(thm)],[f3114])).
% 136.89/17.72 fof(f3117,plain,(
% 136.89/17.72 spl0_0|~spl0_1),
% 136.89/17.72 inference(split_clause,[status(thm)],[f3109,f3111,f3114])).
% 136.89/17.72 fof(f3128,plain,(
% 136.89/17.72 ![X0]: (c_in(c_emptyset,c_Finite__Set_OFinites,tc_set(X0)))),
% 136.89/17.72 inference(paramodulation,[status(thm)],[f2813,f1541])).
% 136.89/17.72 fof(f4067,plain,(
% 136.89/17.72 ![X0]: (~c_in(X0,c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_Message_Omsg)|c_in(c_Message_Omsg_OMPair(v_X,X0),c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_Message_Omsg))),
% 136.89/17.72 inference(resolution,[status(thm)],[f3022,f3106])).
% 136.89/17.72 fof(f4079,plain,(
% 136.89/17.72 ![X0]: (c_in(c_Message_Omsg_OMPair(v_X,X0),c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_Message_Omsg)|~c_in(X0,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg))),
% 136.89/17.72 inference(resolution,[status(thm)],[f4067,f3054])).
% 136.89/17.72 fof(f4082,plain,(
% 136.89/17.72 spl0_7 <=> c_in(v_X,c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_Message_Omsg)),
% 136.89/17.72 introduced(split_symbol_definition)).
% 136.89/17.72 fof(f4148,plain,(
% 136.89/17.72 ![X0,X1]: (c_in(c_Message_Omsg_OMPair(v_X,c_Message_Omsg_OKey(c_Public_OpublicKey(X0,X1))),c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_Message_Omsg))),
% 136.89/17.72 inference(resolution,[status(thm)],[f4079,f3077])).
% 136.89/17.72 fof(f4533,plain,(
% 136.89/17.72 ![X0,X1,X2]: (~c_in(X0,c_Message_Osynth(X1),tc_Message_Omsg)|c_in(c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X2),X0),c_Message_Osynth(X1),tc_Message_Omsg))),
% 136.89/17.72 inference(resolution,[status(thm)],[f3055,f3051])).
% 136.89/17.72 fof(f4850,plain,(
% 136.89/17.72 ![X0,X1]: (~c_in(X0,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent))|c_in(X1,c_Event_Obad,tc_Message_Oagent)|~c_in(c_Message_Omsg_OKey(c_Public_OshrK(X1)),c_Event_Oknows(c_Message_Oagent_OSpy,X0),tc_Message_Omsg))),
% 136.89/17.72 inference(resolution,[status(thm)],[f3103,f3048])).
% 136.89/17.72 fof(f4900,plain,(
% 136.89/17.72 spl0_17 <=> c_in(v_evsf,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent))),
% 136.89/17.72 introduced(split_symbol_definition)).
% 136.89/17.72 fof(f4902,plain,(
% 136.89/17.72 ~c_in(v_evsf,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent))|spl0_17),
% 136.89/17.72 inference(component_clause,[status(thm)],[f4900])).
% 136.89/17.72 fof(f4908,plain,(
% 136.89/17.72 $false|spl0_17),
% 136.89/17.72 inference(forward_subsumption_resolution,[status(thm)],[f4902,f3105])).
% 136.89/17.72 fof(f4909,plain,(
% 136.89/17.72 spl0_17),
% 136.89/17.72 inference(contradiction_clause,[status(thm)],[f4908])).
% 136.89/17.72 fof(f6445,plain,(
% 136.89/17.72 ![X0,X1]: (c_in(c_Main_Ofinite__Union__1(c_List_Oset(X0,tc_set(X1)),X1),c_List_Oset(X0,tc_set(X1)),tc_set(X1))|c_in(c_Union(c_List_Oset(X0,tc_set(X1)),X1),c_Finite__Set_OFinites,tc_set(X1)))),
% 136.89/17.72 inference(resolution,[status(thm)],[f1527,f1541])).
% 136.89/17.72 fof(f7135,plain,(
% 136.89/17.72 ![X0,X1]: (~c_in(X0,c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_Message_Omsg)|c_in(c_Message_Omsg_OMPair(v_X,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X1),X0)),c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_Message_Omsg))),
% 136.89/17.72 inference(resolution,[status(thm)],[f4533,f4067])).
% 136.89/17.72 fof(f8137,plain,(
% 136.89/17.72 ![X0]: (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,v_evsf),tc_Message_Omsg))),
% 136.89/17.72 inference(resolution,[status(thm)],[f4850,f3105])).
% 136.89/17.72 fof(f8314,plain,(
% 136.89/17.72 spl0_48 <=> ~c_in(X0,c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_Message_Omsg)),
% 136.89/17.72 introduced(split_symbol_definition)).
% 136.89/17.72 fof(f8315,plain,(
% 136.89/17.72 ![X0]: (~c_in(X0,c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_Message_Omsg)|~spl0_48)),
% 136.89/17.72 inference(component_clause,[status(thm)],[f8314])).
% 136.89/17.72 fof(f8317,plain,(
% 136.89/17.72 ![X0]: (~c_in(X0,c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_Message_Omsg)|c_in(v_X,c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_Message_Omsg))),
% 136.89/17.72 inference(resolution,[status(thm)],[f7135,f3019])).
% 136.89/17.72 fof(f8318,plain,(
% 136.89/17.72 spl0_48|spl0_7),
% 136.89/17.72 inference(split_clause,[status(thm)],[f8317,f8314,f4082])).
% 136.89/17.72 fof(f8428,plain,(
% 136.89/17.72 $false|~spl0_48),
% 136.89/17.72 inference(backward_subsumption_resolution,[status(thm)],[f4148,f8315])).
% 136.89/17.72 fof(f8429,plain,(
% 136.89/17.72 ~spl0_48),
% 136.89/17.72 inference(contradiction_clause,[status(thm)],[f8428])).
% 136.89/17.72 fof(f15297,plain,(
% 136.89/17.72 ![X0,X1,X2,X3]: (c_lessequals(c_Relation_ORange(X0,X1,X2),X3,tc_set(X2))|c_in(c_Pair(c_Main_ORangeE__1(c_Main_OsubsetI__1(c_Relation_ORange(X0,X1,X2),X3,X2),X0,X2,X1),c_Main_OsubsetI__1(c_Relation_ORange(X0,X1,X2),X3,X2),X1,X2),X0,tc_prod(X1,X2)))),
% 136.89/17.72 inference(resolution,[status(thm)],[f1619,f1579])).
% 136.89/17.72 fof(f15298,plain,(
% 136.89/17.72 ![X0,X1,X2,X3,X4]: (c_lessequals(c_Relation_OImage(X0,X1,X2,X3),X4,tc_set(X3))|c_in(c_Pair(c_Main_OImageE__1(X1,c_Main_OsubsetI__1(c_Relation_OImage(X0,X1,X2,X3),X4,X3),X0,X2,X3),c_Main_OsubsetI__1(c_Relation_OImage(X0,X1,X2,X3),X4,X3),X2,X3),X0,tc_prod(X2,X3)))),
% 136.89/17.72 inference(resolution,[status(thm)],[f1619,f1576])).
% 136.89/17.72 fof(f15900,plain,(
% 136.89/17.72 ![X0,X1]: (~c_lessequals(X0,c_emptyset,tc_set(X1))|c_emptyset=X0)),
% 136.89/17.72 inference(resolution,[status(thm)],[f1622,f1607])).
% 136.89/17.72 fof(f16060,plain,(
% 136.89/17.72 $false|~spl0_0),
% 136.89/17.72 inference(forward_subsumption_resolution,[status(thm)],[f3112,f3108])).
% 136.89/17.72 fof(f16061,plain,(
% 136.89/17.72 ~spl0_0),
% 136.89/17.72 inference(contradiction_clause,[status(thm)],[f16060])).
% 136.89/17.72 fof(f38267,plain,(
% 136.89/17.72 ![X0,X1]: (c_in(X0,c_Relation_OImage(c_Relation_OId,c_insert(X0,c_emptyset,X1),X1,X1),X1))),
% 136.89/17.72 inference(resolution,[status(thm)],[f2856,f2854])).
% 136.89/17.72 fof(f44377,plain,(
% 136.89/17.72 spl0_610 <=> c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_B)))),c_union(c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg),tc_Message_Omsg)),
% 136.89/17.72 introduced(split_symbol_definition)).
% 136.89/17.72 fof(f44378,plain,(
% 136.89/17.72 c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_B)))),c_union(c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg),tc_Message_Omsg)|~spl0_610),
% 136.89/17.72 inference(component_clause,[status(thm)],[f44377])).
% 136.89/17.72 fof(f44380,plain,(
% 136.89/17.72 ~c_in(v_X,c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_Message_Omsg)|c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_B)))),c_union(c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg),tc_Message_Omsg)),
% 136.89/17.72 inference(resolution,[status(thm)],[f3061,f3107])).
% 136.89/17.72 fof(f44381,plain,(
% 136.89/17.72 ~spl0_7|spl0_610),
% 136.89/17.72 inference(split_clause,[status(thm)],[f44380,f4082,f44377])).
% 136.89/17.72 fof(f44467,plain,(
% 136.89/17.72 spl0_614 <=> c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_B)))),c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_Message_Omsg)),
% 136.89/17.72 introduced(split_symbol_definition)).
% 136.89/17.72 fof(f44468,plain,(
% 136.89/17.72 c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_B)))),c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_Message_Omsg)|~spl0_614),
% 136.89/17.72 inference(component_clause,[status(thm)],[f44467])).
% 136.89/17.72 fof(f44470,plain,(
% 136.89/17.72 c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_B)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg)|c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_B)))),c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_Message_Omsg)|~spl0_610),
% 136.89/17.72 inference(resolution,[status(thm)],[f44378,f2911])).
% 136.89/17.72 fof(f44471,plain,(
% 136.89/17.72 spl0_1|spl0_614|~spl0_610),
% 136.89/17.72 inference(split_clause,[status(thm)],[f44470,f3114,f44467,f44377])).
% 136.89/17.72 fof(f44636,plain,(
% 136.89/17.72 spl0_620 <=> c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_B)))),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg)),
% 136.89/17.72 introduced(split_symbol_definition)).
% 136.89/17.72 fof(f44637,plain,(
% 136.89/17.72 c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_B)))),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg)|~spl0_620),
% 136.89/17.72 inference(component_clause,[status(thm)],[f44636])).
% 136.89/17.72 fof(f44641,plain,(
% 136.89/17.72 spl0_621 <=> 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)),
% 136.89/17.72 introduced(split_symbol_definition)).
% 136.89/17.72 fof(f44642,plain,(
% 136.89/17.72 c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg)|~spl0_621),
% 136.89/17.72 inference(component_clause,[status(thm)],[f44641])).
% 136.89/17.72 fof(f44644,plain,(
% 136.89/17.72 c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_B)))),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg)|c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg)|~spl0_614),
% 136.89/17.72 inference(resolution,[status(thm)],[f44468,f2978])).
% 136.89/17.72 fof(f44645,plain,(
% 136.89/17.72 spl0_620|spl0_621|~spl0_614),
% 136.89/17.72 inference(split_clause,[status(thm)],[f44644,f44636,f44641,f44467])).
% 136.89/17.72 fof(f44985,plain,(
% 136.89/17.72 c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg)|~spl0_621),
% 136.89/17.72 inference(resolution,[status(thm)],[f44642,f3064])).
% 136.89/17.72 fof(f44986,plain,(
% 136.89/17.72 spl0_629 <=> c_in(v_A,c_Event_Obad,tc_Message_Oagent)),
% 136.89/17.72 introduced(split_symbol_definition)).
% 136.89/17.72 fof(f44987,plain,(
% 136.89/17.72 c_in(v_A,c_Event_Obad,tc_Message_Oagent)|~spl0_629),
% 136.89/17.72 inference(component_clause,[status(thm)],[f44986])).
% 136.89/17.72 fof(f44989,plain,(
% 136.89/17.72 ~c_in(v_evsf,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent))|c_in(v_A,c_Event_Obad,tc_Message_Oagent)|~spl0_621),
% 136.89/17.72 inference(resolution,[status(thm)],[f44985,f3103])).
% 136.89/17.72 fof(f44990,plain,(
% 136.89/17.72 ~spl0_17|spl0_629|~spl0_621),
% 136.89/17.72 inference(split_clause,[status(thm)],[f44989,f4900,f44986,f44641])).
% 136.89/17.72 fof(f44992,plain,(
% 136.89/17.72 $false|~spl0_629),
% 136.89/17.72 inference(forward_subsumption_resolution,[status(thm)],[f44987,f3104])).
% 136.89/17.72 fof(f44993,plain,(
% 136.89/17.72 ~spl0_629),
% 136.89/17.72 inference(contradiction_clause,[status(thm)],[f44992])).
% 136.89/17.72 fof(f45217,plain,(
% 136.89/17.72 spl0_642 <=> c_in(c_emptyset,c_Finite__Set_OFinites,tc_set(tc_nat))),
% 136.89/17.72 introduced(split_symbol_definition)).
% 136.89/17.72 fof(f45219,plain,(
% 136.89/17.72 ~c_in(c_emptyset,c_Finite__Set_OFinites,tc_set(tc_nat))|spl0_642),
% 136.89/17.72 inference(component_clause,[status(thm)],[f45217])).
% 136.89/17.72 fof(f45222,plain,(
% 136.89/17.72 $false|spl0_642),
% 136.89/17.72 inference(forward_subsumption_resolution,[status(thm)],[f45219,f3128])).
% 136.89/17.72 fof(f45223,plain,(
% 136.89/17.72 spl0_642),
% 136.89/17.72 inference(contradiction_clause,[status(thm)],[f45222])).
% 136.89/17.72 fof(f45387,plain,(
% 136.89/17.72 spl0_646 <=> ~c_in(c_Message_Omsg_OKey(c_Message_OinvKey(c_Public_OpublicKey(X0,X1))),c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf),tc_Message_Omsg)),
% 136.89/17.72 introduced(split_symbol_definition)).
% 136.89/17.72 fof(f45388,plain,(
% 136.89/17.72 ![X0,X1]: (~c_in(c_Message_Omsg_OKey(c_Message_OinvKey(c_Public_OpublicKey(X0,X1))),c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf),tc_Message_Omsg)|~spl0_646)),
% 136.89/17.72 inference(component_clause,[status(thm)],[f45387])).
% 136.89/17.72 fof(f45573,plain,(
% 136.89/17.72 ![X0]: (~c_in(X0,c_Event_Obad,tc_Message_Oagent)|~spl0_646)),
% 136.89/17.72 inference(resolution,[status(thm)],[f45388,f3074])).
% 136.89/17.72 fof(f45577,plain,(
% 136.89/17.72 $false|~spl0_646),
% 136.89/17.72 inference(backward_subsumption_resolution,[status(thm)],[f2955,f45573])).
% 136.89/17.72 fof(f45578,plain,(
% 136.89/17.72 ~spl0_646),
% 136.89/17.72 inference(contradiction_clause,[status(thm)],[f45577])).
% 136.89/17.72 fof(f45780,plain,(
% 136.89/17.72 c_in(c_Message_Oagent_OSpy,c_Event_Obad,tc_Message_Oagent)),
% 136.89/17.72 inference(resolution,[status(thm)],[f8137,f3096])).
% 136.89/17.72 fof(f46050,plain,(
% 136.89/17.72 spl0_672 <=> c_Suc(X0)=c_0),
% 136.89/17.72 introduced(split_symbol_definition)).
% 136.89/17.72 fof(f46051,plain,(
% 136.89/17.72 ![X0]: (c_Suc(X0)=c_0|~spl0_672)),
% 136.89/17.72 inference(component_clause,[status(thm)],[f46050])).
% 136.89/17.72 fof(f46067,plain,(
% 136.89/17.72 $false|~spl0_672),
% 136.89/17.72 inference(forward_subsumption_resolution,[status(thm)],[f46051,f2822])).
% 136.89/17.72 fof(f46068,plain,(
% 136.89/17.72 ~spl0_672),
% 136.89/17.72 inference(contradiction_clause,[status(thm)],[f46067])).
% 136.89/17.72 fof(f46284,plain,(
% 136.89/17.72 spl0_680 <=> ~c_in(X0,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent))),
% 136.89/17.72 introduced(split_symbol_definition)).
% 136.89/17.72 fof(f46285,plain,(
% 136.89/17.72 ![X0]: (~c_in(X0,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent))|~spl0_680)),
% 136.89/17.72 inference(component_clause,[status(thm)],[f46284])).
% 136.89/17.72 fof(f46532,plain,(
% 136.89/17.72 $false|~spl0_680),
% 136.89/17.72 inference(backward_subsumption_resolution,[status(thm)],[f3105,f46285])).
% 136.89/17.72 fof(f46533,plain,(
% 136.89/17.72 ~spl0_680),
% 136.89/17.72 inference(contradiction_clause,[status(thm)],[f46532])).
% 136.89/17.72 fof(f46614,plain,(
% 136.89/17.72 spl0_688 <=> c_Datatype_Ooption_OSome(c_0,tc_nat)=c_Datatype_Ooption_ONone),
% 136.89/17.72 introduced(split_symbol_definition)).
% 136.89/17.72 fof(f46615,plain,(
% 136.89/17.72 c_Datatype_Ooption_OSome(c_0,tc_nat)=c_Datatype_Ooption_ONone|~spl0_688),
% 136.89/17.72 inference(component_clause,[status(thm)],[f46614])).
% 136.89/17.72 fof(f46625,plain,(
% 136.89/17.72 $false|~spl0_688),
% 136.89/17.72 inference(forward_subsumption_resolution,[status(thm)],[f46615,f2686])).
% 136.89/17.72 fof(f46626,plain,(
% 136.89/17.72 ~spl0_688),
% 136.89/17.72 inference(contradiction_clause,[status(thm)],[f46625])).
% 136.89/17.72 fof(f47080,plain,(
% 136.89/17.72 spl0_697 <=> c_in(c_0,c_emptyset,tc_nat)),
% 136.89/17.72 introduced(split_symbol_definition)).
% 136.89/17.72 fof(f47081,plain,(
% 136.89/17.72 c_in(c_0,c_emptyset,tc_nat)|~spl0_697),
% 136.89/17.72 inference(component_clause,[status(thm)],[f47080])).
% 136.89/17.72 fof(f47085,plain,(
% 136.89/17.72 $false|~spl0_697),
% 136.89/17.72 inference(forward_subsumption_resolution,[status(thm)],[f47081,f2919])).
% 136.89/17.72 fof(f47086,plain,(
% 136.89/17.72 ~spl0_697),
% 136.89/17.72 inference(contradiction_clause,[status(thm)],[f47085])).
% 136.89/17.72 fof(f48706,plain,(
% 136.89/17.72 spl0_711 <=> X0=c_List_Olist_ONil|c_Nat_Osize(X0,tc_List_Olist(X1))=c_0),
% 136.89/17.72 introduced(split_symbol_definition)).
% 136.89/17.72 fof(f48707,plain,(
% 136.89/17.72 ![X0,X1]: (X0=c_List_Olist_ONil|c_Nat_Osize(X0,tc_List_Olist(X1))=c_0|~spl0_711)),
% 136.89/17.72 inference(component_clause,[status(thm)],[f48706])).
% 136.89/17.72 fof(f48724,plain,(
% 136.89/17.72 ![X0]: (X0=c_List_Olist_ONil|~spl0_711)),
% 136.89/17.72 inference(forward_subsumption_resolution,[status(thm)],[f48707,f2783])).
% 136.89/17.72 fof(f48725,plain,(
% 136.89/17.72 $false|~spl0_711),
% 136.89/17.72 inference(backward_subsumption_resolution,[status(thm)],[f2790,f48724])).
% 136.89/17.72 fof(f48726,plain,(
% 136.89/17.72 ~spl0_711),
% 136.89/17.72 inference(contradiction_clause,[status(thm)],[f48725])).
% 136.89/17.72 fof(f49265,plain,(
% 136.89/17.72 spl0_720 <=> ~c_less(c_0,X0,tc_nat)),
% 136.89/17.72 introduced(split_symbol_definition)).
% 136.89/17.72 fof(f49266,plain,(
% 136.89/17.72 ![X0]: (~c_less(c_0,X0,tc_nat)|~spl0_720)),
% 136.89/17.72 inference(component_clause,[status(thm)],[f49265])).
% 136.89/17.72 fof(f49279,plain,(
% 136.89/17.72 spl0_722 <=> ~c_in(X0,c_Message_OsymKeys,tc_nat)),
% 136.89/17.72 introduced(split_symbol_definition)).
% 136.89/17.72 fof(f49280,plain,(
% 136.89/17.72 ![X0]: (~c_in(X0,c_Message_OsymKeys,tc_nat)|~spl0_722)),
% 136.89/17.72 inference(component_clause,[status(thm)],[f49279])).
% 136.89/17.72 fof(f49299,plain,(
% 136.89/17.72 spl0_723 <=> X0=c_List_Olist_ONil),
% 136.89/17.72 introduced(split_symbol_definition)).
% 136.89/17.72 fof(f49300,plain,(
% 136.89/17.72 ![X0]: (X0=c_List_Olist_ONil|~spl0_723)),
% 136.89/17.72 inference(component_clause,[status(thm)],[f49299])).
% 136.89/17.72 fof(f49843,plain,(
% 136.89/17.72 spl0_740 <=> c_lessequals(c_Event_Obad,X1,tc_set(tc_Message_Oagent))),
% 136.89/17.72 introduced(split_symbol_definition)).
% 136.89/17.72 fof(f49844,plain,(
% 136.89/17.72 ![X0]: (c_lessequals(c_Event_Obad,X0,tc_set(tc_Message_Oagent))|~spl0_740)),
% 136.89/17.72 inference(component_clause,[status(thm)],[f49843])).
% 136.89/17.72 fof(f50113,plain,(
% 136.89/17.72 $false|~spl0_723),
% 136.89/17.72 inference(backward_subsumption_resolution,[status(thm)],[f2790,f49300])).
% 136.89/17.72 fof(f50114,plain,(
% 136.89/17.72 ~spl0_723),
% 136.89/17.72 inference(contradiction_clause,[status(thm)],[f50113])).
% 136.89/17.72 fof(f50115,plain,(
% 136.89/17.72 $false|~spl0_722),
% 136.89/17.72 inference(backward_subsumption_resolution,[status(thm)],[f3094,f49280])).
% 136.89/17.72 fof(f50116,plain,(
% 136.89/17.72 ~spl0_722),
% 136.89/17.72 inference(contradiction_clause,[status(thm)],[f50115])).
% 136.89/17.72 fof(f50117,plain,(
% 136.89/17.72 $false|~spl0_720),
% 136.89/17.72 inference(backward_subsumption_resolution,[status(thm)],[f1568,f49266])).
% 136.89/17.72 fof(f50118,plain,(
% 136.89/17.72 ~spl0_720),
% 136.89/17.72 inference(contradiction_clause,[status(thm)],[f50117])).
% 136.89/17.72 fof(f50119,plain,(
% 136.89/17.72 c_emptyset=c_Event_Obad|~spl0_740),
% 136.89/17.72 inference(resolution,[status(thm)],[f49844,f15900])).
% 136.89/17.72 fof(f50123,plain,(
% 136.89/17.72 spl0_742 <=> class_Orderings_Oord(tc_set(tc_Message_Oagent))),
% 136.89/17.72 introduced(split_symbol_definition)).
% 136.89/17.72 fof(f50125,plain,(
% 136.89/17.72 ~class_Orderings_Oord(tc_set(tc_Message_Oagent))|spl0_742),
% 136.89/17.72 inference(component_clause,[status(thm)],[f50123])).
% 136.89/17.72 fof(f50136,plain,(
% 136.89/17.72 $false|spl0_742),
% 136.89/17.72 inference(forward_subsumption_resolution,[status(thm)],[f50125,f1767])).
% 136.89/17.72 fof(f50137,plain,(
% 136.89/17.72 spl0_742),
% 136.89/17.72 inference(contradiction_clause,[status(thm)],[f50136])).
% 136.89/17.72 fof(f50167,plain,(
% 136.89/17.72 c_in(c_Message_Oagent_OSpy,c_emptyset,tc_Message_Oagent)|~spl0_740),
% 136.89/17.72 inference(backward_demodulation,[status(thm)],[f50119,f45780])).
% 136.89/17.72 fof(f50168,plain,(
% 136.89/17.72 $false|~spl0_740),
% 136.89/17.72 inference(forward_subsumption_resolution,[status(thm)],[f50167,f2919])).
% 136.89/17.72 fof(f50169,plain,(
% 136.89/17.72 ~spl0_740),
% 136.89/17.72 inference(contradiction_clause,[status(thm)],[f50168])).
% 136.89/17.72 fof(f50498,plain,(
% 136.89/17.72 spl0_756 <=> ~c_in(X0,c_Event_Obad,tc_Message_Oagent)),
% 136.89/17.72 introduced(split_symbol_definition)).
% 136.89/17.72 fof(f50499,plain,(
% 136.89/17.72 ![X0]: (~c_in(X0,c_Event_Obad,tc_Message_Oagent)|~spl0_756)),
% 136.89/17.72 inference(component_clause,[status(thm)],[f50498])).
% 136.89/17.72 fof(f50532,plain,(
% 136.89/17.72 $false|~spl0_756),
% 136.89/17.72 inference(backward_subsumption_resolution,[status(thm)],[f45780,f50499])).
% 136.89/17.72 fof(f50533,plain,(
% 136.89/17.72 ~spl0_756),
% 136.89/17.72 inference(contradiction_clause,[status(thm)],[f50532])).
% 136.89/17.72 fof(f51098,plain,(
% 136.89/17.72 spl0_776 <=> c_in(c_0,c_List_Oset(c_List_Olist_ONil,tc_nat),tc_nat)),
% 136.89/17.72 introduced(split_symbol_definition)).
% 136.89/17.72 fof(f51099,plain,(
% 136.89/17.72 c_in(c_0,c_List_Oset(c_List_Olist_ONil,tc_nat),tc_nat)|~spl0_776),
% 136.89/17.72 inference(component_clause,[status(thm)],[f51098])).
% 136.89/17.72 fof(f51103,plain,(
% 136.89/17.72 c_in(c_0,c_emptyset,tc_nat)|~spl0_776),
% 136.89/17.72 inference(forward_demodulation,[status(thm)],[f2813,f51099])).
% 136.89/17.72 fof(f51104,plain,(
% 136.89/17.72 $false|~spl0_776),
% 136.89/17.72 inference(forward_subsumption_resolution,[status(thm)],[f51103,f2919])).
% 136.89/17.72 fof(f51105,plain,(
% 136.89/17.72 ~spl0_776),
% 136.89/17.72 inference(contradiction_clause,[status(thm)],[f51104])).
% 136.89/17.72 fof(f53411,plain,(
% 136.89/17.72 spl0_795 <=> c_in(c_Pair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_B)))),c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_B)))),tc_Message_Omsg,tc_Message_Omsg),c_Relation_OId,tc_prod(tc_Message_Omsg,tc_Message_Omsg))),
% 136.89/17.72 introduced(split_symbol_definition)).
% 136.89/17.72 fof(f53413,plain,(
% 136.89/17.72 ~c_in(c_Pair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_B)))),c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_B)))),tc_Message_Omsg,tc_Message_Omsg),c_Relation_OId,tc_prod(tc_Message_Omsg,tc_Message_Omsg))|spl0_795),
% 136.89/17.72 inference(component_clause,[status(thm)],[f53411])).
% 136.89/17.72 fof(f53451,plain,(
% 136.89/17.72 $false|spl0_795),
% 136.89/17.72 inference(forward_subsumption_resolution,[status(thm)],[f53413,f2854])).
% 136.89/17.72 fof(f53452,plain,(
% 136.89/17.72 spl0_795),
% 136.89/17.72 inference(contradiction_clause,[status(thm)],[f53451])).
% 136.89/17.72 fof(f53503,plain,(
% 136.89/17.72 spl0_798 <=> c_less(c_Main_OdiagE__1(c_SetInterval_OgreaterThan(c_0,tc_nat),c_Pair(c_1,c_1,tc_nat,tc_nat),tc_nat),c_Main_OdiagE__1(c_SetInterval_OgreaterThan(c_0,tc_nat),c_Pair(c_1,c_1,tc_nat,tc_nat),tc_nat),tc_nat)),
% 136.89/17.72 introduced(split_symbol_definition)).
% 136.89/17.72 fof(f53504,plain,(
% 136.89/17.72 c_less(c_Main_OdiagE__1(c_SetInterval_OgreaterThan(c_0,tc_nat),c_Pair(c_1,c_1,tc_nat,tc_nat),tc_nat),c_Main_OdiagE__1(c_SetInterval_OgreaterThan(c_0,tc_nat),c_Pair(c_1,c_1,tc_nat,tc_nat),tc_nat),tc_nat)|~spl0_798),
% 136.89/17.72 inference(component_clause,[status(thm)],[f53503])).
% 136.89/17.72 fof(f53532,plain,(
% 136.89/17.72 spl0_799 <=> c_in(c_Pair(c_1,c_1,tc_nat,tc_nat),c_Relation_OId,tc_prod(tc_nat,tc_nat))),
% 136.89/17.72 introduced(split_symbol_definition)).
% 136.89/17.72 fof(f53534,plain,(
% 136.89/17.72 ~c_in(c_Pair(c_1,c_1,tc_nat,tc_nat),c_Relation_OId,tc_prod(tc_nat,tc_nat))|spl0_799),
% 136.89/17.72 inference(component_clause,[status(thm)],[f53532])).
% 136.89/17.72 fof(f53572,plain,(
% 136.89/17.72 $false|spl0_799),
% 136.89/17.72 inference(forward_subsumption_resolution,[status(thm)],[f53534,f2854])).
% 136.89/17.72 fof(f53573,plain,(
% 136.89/17.72 spl0_799),
% 136.89/17.72 inference(contradiction_clause,[status(thm)],[f53572])).
% 136.89/17.72 fof(f53574,plain,(
% 136.89/17.72 $false|~spl0_798),
% 136.89/17.72 inference(forward_subsumption_resolution,[status(thm)],[f53504,f1567])).
% 136.89/17.72 fof(f53575,plain,(
% 136.89/17.72 ~spl0_798),
% 136.89/17.72 inference(contradiction_clause,[status(thm)],[f53574])).
% 136.89/17.72 fof(f54909,plain,(
% 136.89/17.72 spl0_805 <=> c_less(c_Main_OdiagE__1(c_SetInterval_OlessThan(c_Nat_Osize(X0,tc_List_Olist(X1)),tc_nat),c_Pair(c_0,c_0,tc_nat,tc_nat),tc_nat),c_Main_OdiagE__1(c_SetInterval_OlessThan(c_Nat_Osize(X0,tc_List_Olist(X1)),tc_nat),c_Pair(c_0,c_0,tc_nat,tc_nat),tc_nat),tc_nat)|X0=c_List_Olist_ONil),
% 136.89/17.72 introduced(split_symbol_definition)).
% 136.89/17.72 fof(f54910,plain,(
% 136.89/17.72 ![X0,X1]: (c_less(c_Main_OdiagE__1(c_SetInterval_OlessThan(c_Nat_Osize(X0,tc_List_Olist(X1)),tc_nat),c_Pair(c_0,c_0,tc_nat,tc_nat),tc_nat),c_Main_OdiagE__1(c_SetInterval_OlessThan(c_Nat_Osize(X0,tc_List_Olist(X1)),tc_nat),c_Pair(c_0,c_0,tc_nat,tc_nat),tc_nat),tc_nat)|X0=c_List_Olist_ONil|~spl0_805)),
% 136.89/17.72 inference(component_clause,[status(thm)],[f54909])).
% 136.89/17.72 fof(f54983,plain,(
% 136.89/17.72 ![X0]: (X0=c_List_Olist_ONil|~spl0_805)),
% 136.89/17.72 inference(forward_subsumption_resolution,[status(thm)],[f54910,f1567])).
% 136.89/17.72 fof(f54990,plain,(
% 136.89/17.72 spl0_811 <=> c_less(c_Main_OdiagE__1(c_SetInterval_OlessThan(c_Suc(X0),tc_nat),c_Pair(c_0,c_0,tc_nat,tc_nat),tc_nat),c_Main_OdiagE__1(c_SetInterval_OlessThan(c_Suc(X0),tc_nat),c_Pair(c_0,c_0,tc_nat,tc_nat),tc_nat),tc_nat)),
% 136.89/17.72 introduced(split_symbol_definition)).
% 136.89/17.72 fof(f54991,plain,(
% 136.89/17.72 ![X0]: (c_less(c_Main_OdiagE__1(c_SetInterval_OlessThan(c_Suc(X0),tc_nat),c_Pair(c_0,c_0,tc_nat,tc_nat),tc_nat),c_Main_OdiagE__1(c_SetInterval_OlessThan(c_Suc(X0),tc_nat),c_Pair(c_0,c_0,tc_nat,tc_nat),tc_nat),tc_nat)|~spl0_811)),
% 136.89/17.72 inference(component_clause,[status(thm)],[f54990])).
% 136.89/17.72 fof(f55056,plain,(
% 136.89/17.72 $false|~spl0_811),
% 136.89/17.72 inference(forward_subsumption_resolution,[status(thm)],[f54991,f1567])).
% 136.89/17.72 fof(f55057,plain,(
% 136.89/17.72 ~spl0_811),
% 136.89/17.72 inference(contradiction_clause,[status(thm)],[f55056])).
% 136.89/17.72 fof(f55521,plain,(
% 136.89/17.72 $false|~spl0_805),
% 136.89/17.72 inference(backward_subsumption_resolution,[status(thm)],[f2790,f54983])).
% 136.89/17.72 fof(f55522,plain,(
% 136.89/17.72 ~spl0_805),
% 136.89/17.72 inference(contradiction_clause,[status(thm)],[f55521])).
% 136.89/17.72 fof(f55557,plain,(
% 136.89/17.72 spl0_814 <=> c_less(c_Main_OdiagE__1(c_SetInterval_OlessThan(c_1,tc_nat),c_Pair(c_0,c_0,tc_nat,tc_nat),tc_nat),c_Main_OdiagE__1(c_SetInterval_OlessThan(c_1,tc_nat),c_Pair(c_0,c_0,tc_nat,tc_nat),tc_nat),tc_nat)),
% 136.89/17.72 introduced(split_symbol_definition)).
% 136.89/17.72 fof(f55558,plain,(
% 136.89/17.72 c_less(c_Main_OdiagE__1(c_SetInterval_OlessThan(c_1,tc_nat),c_Pair(c_0,c_0,tc_nat,tc_nat),tc_nat),c_Main_OdiagE__1(c_SetInterval_OlessThan(c_1,tc_nat),c_Pair(c_0,c_0,tc_nat,tc_nat),tc_nat),tc_nat)|~spl0_814),
% 136.89/17.72 inference(component_clause,[status(thm)],[f55557])).
% 136.89/17.72 fof(f55623,plain,(
% 136.89/17.72 $false|~spl0_814),
% 136.89/17.72 inference(forward_subsumption_resolution,[status(thm)],[f55558,f1567])).
% 136.89/17.72 fof(f55624,plain,(
% 136.89/17.72 ~spl0_814),
% 136.89/17.72 inference(contradiction_clause,[status(thm)],[f55623])).
% 136.89/17.72 fof(f56093,plain,(
% 136.89/17.72 spl0_819 <=> c_less(c_Main_OdiagE__1(c_SetInterval_OatMost(X0,tc_nat),c_Pair(c_0,c_0,tc_nat,tc_nat),tc_nat),c_Main_OdiagE__1(c_SetInterval_OatMost(X0,tc_nat),c_Pair(c_0,c_0,tc_nat,tc_nat),tc_nat),tc_nat)),
% 136.89/17.72 introduced(split_symbol_definition)).
% 136.89/17.72 fof(f56094,plain,(
% 136.89/17.72 ![X0]: (c_less(c_Main_OdiagE__1(c_SetInterval_OatMost(X0,tc_nat),c_Pair(c_0,c_0,tc_nat,tc_nat),tc_nat),c_Main_OdiagE__1(c_SetInterval_OatMost(X0,tc_nat),c_Pair(c_0,c_0,tc_nat,tc_nat),tc_nat),tc_nat)|~spl0_819)),
% 136.89/17.72 inference(component_clause,[status(thm)],[f56093])).
% 136.89/17.72 fof(f56163,plain,(
% 136.89/17.72 $false|~spl0_819),
% 136.89/17.72 inference(forward_subsumption_resolution,[status(thm)],[f56094,f1567])).
% 136.89/17.72 fof(f56164,plain,(
% 136.89/17.72 ~spl0_819),
% 136.89/17.72 inference(contradiction_clause,[status(thm)],[f56163])).
% 136.89/17.72 fof(f60111,plain,(
% 136.89/17.72 ![X0,X1,X2]: (c_lessequals(c_Relation_ORange(c_emptyset,X0,X1),X2,tc_set(X1)))),
% 136.89/17.72 inference(resolution,[status(thm)],[f15297,f2919])).
% 136.89/17.72 fof(f60209,plain,(
% 136.89/17.72 ![X0,X1,X2,X3]: (c_lessequals(c_Relation_OImage(c_emptyset,X0,X1,X2),X3,tc_set(X2)))),
% 136.89/17.72 inference(resolution,[status(thm)],[f15298,f2919])).
% 136.89/17.72 fof(f60580,plain,(
% 136.89/17.72 ![X0,X1]: (c_emptyset=c_Relation_ORange(c_emptyset,X0,X1))),
% 136.89/17.72 inference(resolution,[status(thm)],[f60111,f15900])).
% 136.89/17.72 fof(f60606,plain,(
% 136.89/17.72 ![X0,X1,X2]: (c_emptyset=c_Relation_OImage(c_emptyset,X0,X1,X2))),
% 136.89/17.72 inference(resolution,[status(thm)],[f60209,f15900])).
% 136.89/17.72 fof(f60785,plain,(
% 136.89/17.72 spl0_855 <=> c_emptyset=c_Relation_OId),
% 136.89/17.72 introduced(split_symbol_definition)).
% 136.89/17.72 fof(f60786,plain,(
% 136.89/17.72 c_emptyset=c_Relation_OId|~spl0_855),
% 136.89/17.72 inference(component_clause,[status(thm)],[f60785])).
% 136.89/17.72 fof(f60963,plain,(
% 136.89/17.72 ![X0,X1]: (c_in(X0,c_Relation_OImage(c_emptyset,c_insert(X0,c_emptyset,X1),X1,X1),X1)|~spl0_855)),
% 136.89/17.72 inference(backward_demodulation,[status(thm)],[f60786,f38267])).
% 136.89/17.72 fof(f60964,plain,(
% 136.89/17.72 ![X0,X1]: (c_in(X0,c_emptyset,X1)|~spl0_855)),
% 136.89/17.72 inference(forward_demodulation,[status(thm)],[f60606,f60963])).
% 136.89/17.72 fof(f60965,plain,(
% 136.89/17.72 $false|~spl0_855),
% 136.89/17.72 inference(forward_subsumption_resolution,[status(thm)],[f60964,f2919])).
% 136.89/17.72 fof(f60966,plain,(
% 136.89/17.72 ~spl0_855),
% 136.89/17.72 inference(contradiction_clause,[status(thm)],[f60965])).
% 136.89/17.72 fof(f61235,plain,(
% 136.89/17.72 spl0_864 <=> c_in(X2,c_emptyset,X3)),
% 136.89/17.72 introduced(split_symbol_definition)).
% 136.89/17.72 fof(f61236,plain,(
% 136.89/17.72 ![X0,X1]: (c_in(X0,c_emptyset,X1)|~spl0_864)),
% 136.89/17.72 inference(component_clause,[status(thm)],[f61235])).
% 136.89/17.72 fof(f61299,plain,(
% 136.89/17.72 $false|~spl0_864),
% 136.89/17.72 inference(forward_subsumption_resolution,[status(thm)],[f61236,f2919])).
% 136.89/17.72 fof(f61300,plain,(
% 136.89/17.72 ~spl0_864),
% 136.89/17.72 inference(contradiction_clause,[status(thm)],[f61299])).
% 136.89/17.72 fof(f61795,plain,(
% 136.89/17.72 spl0_878 <=> c_less(c_Main_OIdE__1(c_Main_OsubsetI__1(c_Relation_OId,c_emptyset,tc_prod(tc_nat,tc_nat)),tc_nat),c_Main_OIdE__1(c_Main_OsubsetI__1(c_Relation_OId,c_emptyset,tc_prod(tc_nat,tc_nat)),tc_nat),tc_nat)),
% 136.89/17.72 introduced(split_symbol_definition)).
% 136.89/17.72 fof(f61796,plain,(
% 136.89/17.72 c_less(c_Main_OIdE__1(c_Main_OsubsetI__1(c_Relation_OId,c_emptyset,tc_prod(tc_nat,tc_nat)),tc_nat),c_Main_OIdE__1(c_Main_OsubsetI__1(c_Relation_OId,c_emptyset,tc_prod(tc_nat,tc_nat)),tc_nat),tc_nat)|~spl0_878),
% 136.89/17.72 inference(component_clause,[status(thm)],[f61795])).
% 136.89/17.72 fof(f61968,plain,(
% 136.89/17.72 $false|~spl0_878),
% 136.89/17.72 inference(forward_subsumption_resolution,[status(thm)],[f61796,f1567])).
% 136.89/17.72 fof(f61969,plain,(
% 136.89/17.72 ~spl0_878),
% 136.89/17.72 inference(contradiction_clause,[status(thm)],[f61968])).
% 136.89/17.72 fof(f62567,plain,(
% 136.89/17.72 spl0_887 <=> c_lessequals(c_emptyset,c_Relation_OId,tc_set(tc_prod(tc_nat,tc_nat)))),
% 136.89/17.72 introduced(split_symbol_definition)).
% 136.89/17.72 fof(f62569,plain,(
% 136.89/17.72 ~c_lessequals(c_emptyset,c_Relation_OId,tc_set(tc_prod(tc_nat,tc_nat)))|spl0_887),
% 136.89/17.72 inference(component_clause,[status(thm)],[f62567])).
% 136.89/17.72 fof(f62574,plain,(
% 136.89/17.72 spl0_888 <=> class_Orderings_Oord(tc_set(tc_prod(tc_nat,tc_nat)))),
% 136.89/17.72 introduced(split_symbol_definition)).
% 136.89/17.72 fof(f62576,plain,(
% 136.89/17.72 ~class_Orderings_Oord(tc_set(tc_prod(tc_nat,tc_nat)))|spl0_888),
% 136.89/17.72 inference(component_clause,[status(thm)],[f62574])).
% 136.89/17.72 fof(f62587,plain,(
% 136.89/17.72 $false|spl0_887),
% 136.89/17.72 inference(forward_subsumption_resolution,[status(thm)],[f62569,f1607])).
% 136.89/17.72 fof(f62588,plain,(
% 136.89/17.72 spl0_887),
% 136.89/17.72 inference(contradiction_clause,[status(thm)],[f62587])).
% 136.89/17.72 fof(f62589,plain,(
% 136.89/17.72 $false|spl0_888),
% 136.89/17.72 inference(forward_subsumption_resolution,[status(thm)],[f62576,f1767])).
% 136.89/17.72 fof(f62590,plain,(
% 136.89/17.72 spl0_888),
% 136.89/17.72 inference(contradiction_clause,[status(thm)],[f62589])).
% 136.89/17.72 fof(f62615,plain,(
% 136.89/17.72 spl0_891 <=> c_in(c_Pair(v_evsf,v_evsf,tc_List_Olist(tc_Event_Oevent),tc_List_Olist(tc_Event_Oevent)),c_Relation_OId,tc_prod(tc_List_Olist(tc_Event_Oevent),tc_List_Olist(tc_Event_Oevent)))),
% 136.89/17.72 introduced(split_symbol_definition)).
% 136.89/17.72 fof(f62617,plain,(
% 136.89/17.72 ~c_in(c_Pair(v_evsf,v_evsf,tc_List_Olist(tc_Event_Oevent),tc_List_Olist(tc_Event_Oevent)),c_Relation_OId,tc_prod(tc_List_Olist(tc_Event_Oevent),tc_List_Olist(tc_Event_Oevent)))|spl0_891),
% 136.89/17.72 inference(component_clause,[status(thm)],[f62615])).
% 136.89/17.72 fof(f62682,plain,(
% 136.89/17.72 $false|spl0_891),
% 136.89/17.72 inference(forward_subsumption_resolution,[status(thm)],[f62617,f2854])).
% 136.89/17.72 fof(f62683,plain,(
% 139.03/17.92 spl0_891),
% 139.03/17.92 inference(contradiction_clause,[status(thm)],[f62682])).
% 139.03/17.92 fof(f62775,plain,(
% 139.03/17.92 spl0_893 <=> ~c_in(X0,X1,X2)),
% 139.03/17.92 introduced(split_symbol_definition)).
% 139.03/17.92 fof(f62776,plain,(
% 139.03/17.92 ![X0,X1,X2]: (~c_in(X0,X1,X2)|~spl0_893)),
% 139.03/17.92 inference(component_clause,[status(thm)],[f62775])).
% 139.03/17.92 fof(f62858,plain,(
% 139.03/17.92 spl0_895 <=> c_in(X2,c_Relation_ORange(c_emptyset,X3,X4),X4)),
% 139.03/17.92 introduced(split_symbol_definition)).
% 139.03/17.92 fof(f62859,plain,(
% 139.03/17.92 ![X0,X1,X2]: (c_in(X0,c_Relation_ORange(c_emptyset,X1,X2),X2)|~spl0_895)),
% 139.03/17.92 inference(component_clause,[status(thm)],[f62858])).
% 139.03/17.92 fof(f62885,plain,(
% 139.03/17.92 ![X0,X1]: (c_in(X0,c_emptyset,X1)|~spl0_895)),
% 139.03/17.92 inference(forward_demodulation,[status(thm)],[f60580,f62859])).
% 139.03/17.92 fof(f62886,plain,(
% 139.03/17.92 $false|~spl0_895),
% 139.03/17.92 inference(forward_subsumption_resolution,[status(thm)],[f62885,f2919])).
% 139.03/17.92 fof(f62887,plain,(
% 139.03/17.92 ~spl0_895),
% 139.03/17.92 inference(contradiction_clause,[status(thm)],[f62886])).
% 139.03/17.92 fof(f63449,plain,(
% 139.03/17.92 ![X0,X1]: (c_in(c_Union(c_List_Oset(X0,tc_set(X1)),X1),c_Finite__Set_OFinites,tc_set(X1))|~spl0_893)),
% 139.03/17.92 inference(backward_subsumption_resolution,[status(thm)],[f6445,f62776])).
% 139.03/17.92 fof(f63450,plain,(
% 139.03/17.92 $false|~spl0_893),
% 139.03/17.92 inference(forward_subsumption_resolution,[status(thm)],[f63449,f62776])).
% 139.03/17.92 fof(f63451,plain,(
% 139.03/17.92 ~spl0_893),
% 139.03/17.92 inference(contradiction_clause,[status(thm)],[f63450])).
% 139.03/17.92 fof(f64037,plain,(
% 139.03/17.92 c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_B)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg)|~spl0_620),
% 139.03/17.92 inference(resolution,[status(thm)],[f44637,f3064])).
% 139.03/17.92 fof(f64038,plain,(
% 139.03/17.92 $false|spl0_1|~spl0_620),
% 139.03/17.92 inference(forward_subsumption_resolution,[status(thm)],[f64037,f3116])).
% 139.03/17.92 fof(f64039,plain,(
% 139.03/17.92 spl0_1|~spl0_620),
% 139.03/17.92 inference(contradiction_clause,[status(thm)],[f64038])).
% 139.03/17.92 fof(f64040,plain,(
% 139.03/17.92 $false),
% 139.03/17.92 inference(sat_refutation,[status(thm)],[f3117,f4909,f8318,f8429,f16061,f44381,f44471,f44645,f44990,f44993,f45223,f45578,f46068,f46533,f46626,f47086,f48726,f50114,f50116,f50118,f50137,f50169,f50533,f51105,f53452,f53573,f53575,f55057,f55522,f55624,f56164,f60966,f61300,f61969,f62588,f62590,f62683,f62887,f63451,f64039])).
% 139.03/17.92 % SZS output end CNFRefutation for theBenchmark.p
% 143.80/19.04 % Elapsed time: 18.472428 seconds
% 143.80/19.04 % CPU time: 121.449378 seconds
% 143.80/19.04 % Total memory used: 1.116 GB
% 143.80/19.04 % Net memory used: 1.036 GB
%------------------------------------------------------------------------------