%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : SWV316-2 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n013.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 02:54:21 PM UTC 2026
% Result : Unsatisfiable 0.15s 5.77s
% Output : CNFRefutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 31
% Number of leaves : 32
% Syntax : Number of clauses : 146 ( 64 unt; 29 nHn; 94 RR)
% Number of literals : 304 ( 116 equ; 93 neg)
% Maximal clause size : 7 ( 2 avg)
% Maximal term depth : 9 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 33 ( 33 usr; 14 con; 0-3 aty)
% Number of variables : 247 ( 60 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_conjecture_5,negated_conjecture,
( ~ c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_Message_Oparts(c_insert(v_X,c_insert(c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_B))))),c_Event_Oknows(c_Message_Oagent_OSpy,v_evs2),tc_Message_Omsg),tc_Message_Omsg)),tc_Message_Omsg)
| ~ c_in(v_A,c_Event_Obad,tc_Message_Oagent) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_5) ).
cnf(cls_Message_Oparts_OInj_0,axiom,
( ~ c_in(X1,X2,tc_Message_Omsg)
| c_in(X1,c_Message_Oparts(X2),tc_Message_Omsg) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Message_Oparts_OInj_0) ).
cnf(cls_Set_Oinsert__iff_2,axiom,
( ~ c_in(X1,X2,X3)
| c_in(X1,c_insert(X4,X2,X3),X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_Oinsert__iff_2) ).
cnf(cls_conjecture_3,negated_conjecture,
( ~ c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs2)),tc_Message_Omsg)
| c_in(v_A,c_Event_Obad,tc_Message_Oagent) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_3) ).
cnf(cls_Public_OSpy__spies__bad__shrK_0,axiom,
( ~ c_in(X1,c_Event_Obad,tc_Message_Oagent)
| c_in(c_Message_Omsg_OKey(c_Public_OshrK(X1)),c_Event_Oknows(c_Message_Oagent_OSpy,X2),tc_Message_Omsg) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Public_OSpy__spies__bad__shrK_0) ).
cnf(cls_Set_Oinsert__iff_0,axiom,
( ~ c_in(X1,c_insert(X2,X3,X4),X4)
| X1 = X2
| c_in(X1,X3,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_Oinsert__iff_0) ).
cnf(cls_conjecture_6,negated_conjecture,
( c_in(v_A,c_Event_Obad,tc_Message_Oagent)
| c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_Message_Oparts(c_insert(v_X,c_insert(c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_B))))),c_Event_Oknows(c_Message_Oagent_OSpy,v_evs2),tc_Message_Omsg),tc_Message_Omsg)),tc_Message_Omsg) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_6) ).
cnf(cls_Message_Oparts__cut__eq_0,axiom,
( ~ c_in(X1,c_Message_Oparts(X2),tc_Message_Omsg)
| c_Message_Oparts(c_insert(X1,X2,tc_Message_Omsg)) = c_Message_Oparts(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Message_Oparts__cut__eq_0) ).
cnf(cls_Message_Oparts__insert__Crypt_0,axiom,
c_Message_Oparts(c_insert(c_Message_Omsg_OCrypt(X1,X2),X3,tc_Message_Omsg)) = c_insert(c_Message_Omsg_OCrypt(X1,X2),c_Message_Oparts(c_insert(X2,X3,tc_Message_Omsg)),tc_Message_Omsg),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Message_Oparts__insert__Crypt_0) ).
cnf(cls_Message_OMPair__parts_0,axiom,
( ~ c_in(c_Message_Omsg_OMPair(X1,X2),c_Message_Oparts(X3),tc_Message_Omsg)
| c_in(X2,c_Message_Oparts(X3),tc_Message_Omsg) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Message_OMPair__parts_0) ).
cnf(cls_Message_Oparts__insert__MPair_0,axiom,
c_Message_Oparts(c_insert(c_Message_Omsg_OMPair(X1,X2),X3,tc_Message_Omsg)) = c_insert(c_Message_Omsg_OMPair(X1,X2),c_Message_Oparts(c_insert(X1,c_insert(X2,X3,tc_Message_Omsg),tc_Message_Omsg)),tc_Message_Omsg),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Message_Oparts__insert__MPair_0) ).
cnf(cls_Event_OSays__imp__analz__Spy__dest_0,axiom,
( ~ c_in(c_Event_Oevent_OSays(X1,X2,X3),c_List_Oset(X4,tc_Event_Oevent),tc_Event_Oevent)
| c_in(X3,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X4)),tc_Message_Omsg) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Event_OSays__imp__analz__Spy__dest_0) ).
cnf(cls_OtwayRees_OGets__imp__Says__dest_0,axiom,
( ~ c_in(c_Event_Oevent_OGets(X2,X3),c_List_Oset(X1,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(X1,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent))
| c_in(c_Event_Oevent_OSays(v_sko__usf(X2,X3,X1),X2,X3),c_List_Oset(X1,tc_Event_Oevent),tc_Event_Oevent) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_OtwayRees_OGets__imp__Says__dest_0) ).
cnf(cls_Message_Oparts__insert__Nonce_0,axiom,
c_Message_Oparts(c_insert(c_Message_Omsg_ONonce(X1),X2,tc_Message_Omsg)) = c_insert(c_Message_Omsg_ONonce(X1),c_Message_Oparts(X2),tc_Message_Omsg),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Message_Oparts__insert__Nonce_0) ).
cnf(cls_Message_Oparts__Un_0,axiom,
c_Message_Oparts(c_union(X1,X2,tc_Message_Omsg)) = c_union(c_Message_Oparts(X1),c_Message_Oparts(X2),tc_Message_Omsg),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Message_Oparts__Un_0) ).
cnf(cls_Message_Oparts__idem_0,axiom,
c_Message_Oparts(c_Message_Oparts(X1)) = c_Message_Oparts(X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Message_Oparts__idem_0) ).
cnf(cls_conjecture_2,negated_conjecture,
c_in(c_Event_Oevent_OGets(v_B,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),v_X)))),c_List_Oset(v_evs2,tc_Event_Oevent),tc_Event_Oevent),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_2) ).
cnf(cls_conjecture_0,negated_conjecture,
c_in(v_evs2,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).
cnf(cls_Set_OUn__insert__right_0,axiom,
c_union(X1,c_insert(X2,X3,X4),X4) = c_insert(X2,c_union(X1,X3,X4),X4),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OUn__insert__right_0) ).
cnf(cls_Set_OUn__insert__left_0,axiom,
c_union(c_insert(X1,X2,X3),X4,X3) = c_insert(X1,c_union(X2,X4,X3),X3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OUn__insert__left_0) ).
cnf(cls_Message_Oparts__analz_0,axiom,
c_Message_Oparts(c_Message_Oanalz(X1)) = c_Message_Oparts(X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Message_Oparts__analz_0) ).
cnf(cls_Set_OUn__absorb_0,axiom,
c_union(X1,X1,X2) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OUn__absorb_0) ).
cnf(cls_Public_OCrypt__notin__used__empty_0,axiom,
~ c_in(c_Message_Omsg_OCrypt(X1,X2),c_Event_Oused(c_List_Olist_ONil),tc_Message_Omsg),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Public_OCrypt__notin__used__empty_0) ).
cnf(cls_Public_OshrK__in__used_0,axiom,
c_in(c_Message_Omsg_OKey(c_Public_OshrK(X1)),c_Event_Oused(X2),tc_Message_Omsg),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Public_OshrK__in__used_0) ).
cnf(cls_Message_Oparts__insert__Agent_0,axiom,
c_Message_Oparts(c_insert(c_Message_Omsg_OAgent(X1),X2,tc_Message_Omsg)) = c_insert(c_Message_Omsg_OAgent(X1),c_Message_Oparts(X2),tc_Message_Omsg),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Message_Oparts__insert__Agent_0) ).
cnf(cls_Message_OMPair__analz_1,axiom,
( ~ c_in(c_Message_Omsg_OMPair(X1,X2),c_Message_Oanalz(X3),tc_Message_Omsg)
| c_in(X1,c_Message_Oanalz(X3),tc_Message_Omsg) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Message_OMPair__analz_1) ).
cnf(cls_Message_Oanalz__parts_0,axiom,
c_Message_Oanalz(c_Message_Oparts(X1)) = c_Message_Oparts(X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Message_Oanalz__parts_0) ).
cnf(cls_Public_ONonce__notin__initState_0,axiom,
~ c_in(c_Message_Omsg_ONonce(X1),c_Message_Oparts(c_Event_OinitState(X2)),tc_Message_Omsg),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Public_ONonce__notin__initState_0) ).
cnf(cls_Public_OshrK__in__initState_0,axiom,
c_in(c_Message_Omsg_OKey(c_Public_OshrK(X1)),c_Event_OinitState(X1),tc_Message_Omsg),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Public_OshrK__in__initState_0) ).
cnf(cls_Message_Osynth_OMPair_0,axiom,
( ~ c_in(X3,c_Message_Osynth(X2),tc_Message_Omsg)
| ~ c_in(X1,c_Message_Osynth(X2),tc_Message_Omsg)
| c_in(c_Message_Omsg_OMPair(X3,X1),c_Message_Osynth(X2),tc_Message_Omsg) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Message_Osynth_OMPair_0) ).
cnf(cls_Message_OKey__synth__eq_0,axiom,
( ~ c_in(c_Message_Omsg_OKey(X1),c_Message_Osynth(X2),tc_Message_Omsg)
| c_in(c_Message_Omsg_OKey(X1),X2,tc_Message_Omsg) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Message_OKey__synth__eq_0) ).
cnf(cls_Message_OAgent__synth_0,axiom,
c_in(c_Message_Omsg_OAgent(X1),c_Message_Osynth(X2),tc_Message_Omsg),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Message_OAgent__synth_0) ).
cnf(c_0_32,negated_conjecture,
( ~ c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_Message_Oparts(c_insert(v_X,c_insert(c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_B))))),c_Event_Oknows(c_Message_Oagent_OSpy,v_evs2),tc_Message_Omsg),tc_Message_Omsg)),tc_Message_Omsg)
| ~ c_in(v_A,c_Event_Obad,tc_Message_Oagent) ),
inference(fof_simplification,[status(thm)],[cls_conjecture_5]) ).
cnf(c_0_33,plain,
( ~ c_in(X1,X2,tc_Message_Omsg)
| c_in(X1,c_Message_Oparts(X2),tc_Message_Omsg) ),
inference(fof_simplification,[status(thm)],[cls_Message_Oparts_OInj_0]) ).
cnf(c_0_34,negated_conjecture,
( ~ c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_Message_Oparts(c_insert(v_X,c_insert(c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_B))))),c_Event_Oknows(c_Message_Oagent_OSpy,v_evs2),tc_Message_Omsg),tc_Message_Omsg)),tc_Message_Omsg)
| ~ c_in(v_A,c_Event_Obad,tc_Message_Oagent) ),
c_0_32 ).
cnf(c_0_35,plain,
( ~ c_in(X1,X2,tc_Message_Omsg)
| c_in(X1,c_Message_Oparts(X2),tc_Message_Omsg) ),
c_0_33 ).
cnf(c_0_36,plain,
( ~ c_in(X1,X2,X3)
| c_in(X1,c_insert(X4,X2,X3),X3) ),
inference(fof_simplification,[status(thm)],[cls_Set_Oinsert__iff_2]) ).
cnf(c_0_37,negated_conjecture,
( ~ c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs2)),tc_Message_Omsg)
| c_in(v_A,c_Event_Obad,tc_Message_Oagent) ),
inference(fof_simplification,[status(thm)],[cls_conjecture_3]) ).
cnf(c_0_38,negated_conjecture,
( ~ c_in(v_A,c_Event_Obad,tc_Message_Oagent)
| ~ c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_insert(v_X,c_insert(c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_B))))),c_Event_Oknows(c_Message_Oagent_OSpy,v_evs2),tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg) ),
inference(spm,[status(thm)],[c_0_34,c_0_35]) ).
cnf(c_0_39,plain,
( ~ c_in(X1,X2,X3)
| c_in(X1,c_insert(X4,X2,X3),X3) ),
c_0_36 ).
cnf(c_0_40,negated_conjecture,
( ~ c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs2)),tc_Message_Omsg)
| c_in(v_A,c_Event_Obad,tc_Message_Oagent) ),
c_0_37 ).
cnf(c_0_41,negated_conjecture,
( ~ c_in(v_A,c_Event_Obad,tc_Message_Oagent)
| ~ c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_insert(c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_B))))),c_Event_Oknows(c_Message_Oagent_OSpy,v_evs2),tc_Message_Omsg),tc_Message_Omsg) ),
inference(spm,[status(thm)],[c_0_38,c_0_39]) ).
cnf(c_0_42,negated_conjecture,
( ~ c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_Event_Oknows(c_Message_Oagent_OSpy,v_evs2),tc_Message_Omsg)
| c_in(v_A,c_Event_Obad,tc_Message_Oagent) ),
inference(spm,[status(thm)],[c_0_40,c_0_35]) ).
cnf(c_0_43,plain,
( ~ c_in(X1,c_Event_Obad,tc_Message_Oagent)
| c_in(c_Message_Omsg_OKey(c_Public_OshrK(X1)),c_Event_Oknows(c_Message_Oagent_OSpy,X2),tc_Message_Omsg) ),
inference(fof_simplification,[status(thm)],[cls_Public_OSpy__spies__bad__shrK_0]) ).
cnf(c_0_44,negated_conjecture,
~ c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_Event_Oknows(c_Message_Oagent_OSpy,v_evs2),tc_Message_Omsg),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_39]),c_0_42]) ).
cnf(c_0_45,plain,
( ~ c_in(X1,c_Event_Obad,tc_Message_Oagent)
| c_in(c_Message_Omsg_OKey(c_Public_OshrK(X1)),c_Event_Oknows(c_Message_Oagent_OSpy,X2),tc_Message_Omsg) ),
c_0_43 ).
cnf(c_0_46,plain,
( ~ c_in(X1,c_insert(X2,X3,X4),X4)
| X1 = X2
| c_in(X1,X3,X4) ),
inference(fof_simplification,[status(thm)],[cls_Set_Oinsert__iff_0]) ).
cnf(c_0_47,negated_conjecture,
( c_in(v_A,c_Event_Obad,tc_Message_Oagent)
| c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_Message_Oparts(c_insert(v_X,c_insert(c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_B))))),c_Event_Oknows(c_Message_Oagent_OSpy,v_evs2),tc_Message_Omsg),tc_Message_Omsg)),tc_Message_Omsg) ),
cls_conjecture_6 ).
cnf(c_0_48,negated_conjecture,
~ c_in(v_A,c_Event_Obad,tc_Message_Oagent),
inference(spm,[status(thm)],[c_0_44,c_0_45]) ).
cnf(c_0_49,plain,
( ~ c_in(X1,c_Message_Oparts(X2),tc_Message_Omsg)
| c_Message_Oparts(c_insert(X1,X2,tc_Message_Omsg)) = c_Message_Oparts(X2) ),
inference(fof_simplification,[status(thm)],[cls_Message_Oparts__cut__eq_0]) ).
cnf(c_0_50,plain,
( ~ c_in(X1,c_insert(X2,X3,X4),X4)
| X1 = X2
| c_in(X1,X3,X4) ),
c_0_46 ).
cnf(c_0_51,axiom,
c_Message_Oparts(c_insert(c_Message_Omsg_OCrypt(X1,X2),X3,tc_Message_Omsg)) = c_insert(c_Message_Omsg_OCrypt(X1,X2),c_Message_Oparts(c_insert(X2,X3,tc_Message_Omsg)),tc_Message_Omsg),
cls_Message_Oparts__insert__Crypt_0 ).
cnf(c_0_52,negated_conjecture,
c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_Message_Oparts(c_insert(v_X,c_insert(c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_B))))),c_Event_Oknows(c_Message_Oagent_OSpy,v_evs2),tc_Message_Omsg),tc_Message_Omsg)),tc_Message_Omsg),
inference(sr,[status(thm)],[c_0_47,c_0_48]) ).
cnf(c_0_53,plain,
( ~ c_in(X1,c_Message_Oparts(X2),tc_Message_Omsg)
| c_Message_Oparts(c_insert(X1,X2,tc_Message_Omsg)) = c_Message_Oparts(X2) ),
c_0_49 ).
cnf(c_0_54,plain,
( ~ c_in(X1,c_Message_Oparts(c_insert(c_Message_Omsg_OCrypt(X2,X3),X4,tc_Message_Omsg)),tc_Message_Omsg)
| c_in(X1,c_Message_Oparts(c_insert(X3,X4,tc_Message_Omsg)),tc_Message_Omsg)
| X1 = c_Message_Omsg_OCrypt(X2,X3) ),
inference(spm,[status(thm)],[c_0_50,c_0_51]) ).
cnf(c_0_55,negated_conjecture,
( ~ c_in(v_X,c_Message_Oparts(c_insert(c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_B))))),c_Event_Oknows(c_Message_Oagent_OSpy,v_evs2),tc_Message_Omsg)),tc_Message_Omsg)
| c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_Message_Oparts(c_insert(c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_B))))),c_Event_Oknows(c_Message_Oagent_OSpy,v_evs2),tc_Message_Omsg)),tc_Message_Omsg) ),
inference(spm,[status(thm)],[c_0_52,c_0_53]) ).
cnf(c_0_56,plain,
( ~ c_in(c_Message_Omsg_OMPair(X1,X2),c_Message_Oparts(X3),tc_Message_Omsg)
| c_in(X2,c_Message_Oparts(X3),tc_Message_Omsg) ),
inference(fof_simplification,[status(thm)],[cls_Message_OMPair__parts_0]) ).
cnf(c_0_57,axiom,
c_Message_Oparts(c_insert(c_Message_Omsg_OMPair(X1,X2),X3,tc_Message_Omsg)) = c_insert(c_Message_Omsg_OMPair(X1,X2),c_Message_Oparts(c_insert(X1,c_insert(X2,X3,tc_Message_Omsg),tc_Message_Omsg)),tc_Message_Omsg),
cls_Message_Oparts__insert__MPair_0 ).
cnf(c_0_58,negated_conjecture,
( ~ c_in(v_X,c_Message_Oparts(c_insert(c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_B))))),c_Event_Oknows(c_Message_Oagent_OSpy,v_evs2),tc_Message_Omsg)),tc_Message_Omsg)
| c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_Message_Oparts(c_insert(c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_B)))),c_Event_Oknows(c_Message_Oagent_OSpy,v_evs2),tc_Message_Omsg)),tc_Message_Omsg)
| c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_B))))) = c_Message_Omsg_OKey(c_Public_OshrK(v_A)) ),
inference(spm,[status(thm)],[c_0_54,c_0_55]) ).
cnf(c_0_59,plain,
( ~ c_in(X1,c_Message_Oparts(c_insert(X3,X4,tc_Message_Omsg)),tc_Message_Omsg)
| c_in(X1,c_Message_Oparts(c_insert(c_Message_Omsg_OCrypt(X2,X3),X4,tc_Message_Omsg)),tc_Message_Omsg) ),
inference(spm,[status(thm)],[c_0_39,c_0_51]) ).
cnf(c_0_60,plain,
( ~ c_in(c_Message_Omsg_OMPair(X1,X2),c_Message_Oparts(X3),tc_Message_Omsg)
| c_in(X2,c_Message_Oparts(X3),tc_Message_Omsg) ),
c_0_56 ).
cnf(c_0_61,plain,
( ~ c_in(c_Event_Oevent_OSays(X1,X2,X3),c_List_Oset(X4,tc_Event_Oevent),tc_Event_Oevent)
| c_in(X3,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X4)),tc_Message_Omsg) ),
inference(fof_simplification,[status(thm)],[cls_Event_OSays__imp__analz__Spy__dest_0]) ).
cnf(c_0_62,plain,
( ~ c_in(c_Event_Oevent_OGets(X2,X3),c_List_Oset(X1,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(X1,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent))
| c_in(c_Event_Oevent_OSays(v_sko__usf(X2,X3,X1),X2,X3),c_List_Oset(X1,tc_Event_Oevent),tc_Event_Oevent) ),
inference(fof_simplification,[status(thm)],[cls_OtwayRees_OGets__imp__Says__dest_0]) ).
cnf(c_0_63,axiom,
c_Message_Oparts(c_insert(c_Message_Omsg_ONonce(X1),X2,tc_Message_Omsg)) = c_insert(c_Message_Omsg_ONonce(X1),c_Message_Oparts(X2),tc_Message_Omsg),
cls_Message_Oparts__insert__Nonce_0 ).
cnf(c_0_64,plain,
( ~ c_in(X1,c_Message_Oparts(c_insert(c_Message_Omsg_OMPair(X2,X3),X4,tc_Message_Omsg)),tc_Message_Omsg)
| c_in(X1,c_Message_Oparts(c_insert(X2,c_insert(X3,X4,tc_Message_Omsg),tc_Message_Omsg)),tc_Message_Omsg)
| X1 = c_Message_Omsg_OMPair(X2,X3) ),
inference(spm,[status(thm)],[c_0_50,c_0_57]) ).
cnf(c_0_65,negated_conjecture,
( ~ c_in(v_X,c_Message_Oparts(c_insert(c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_B)))),c_Event_Oknows(c_Message_Oagent_OSpy,v_evs2),tc_Message_Omsg)),tc_Message_Omsg)
| c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_Message_Oparts(c_insert(c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_B)))),c_Event_Oknows(c_Message_Oagent_OSpy,v_evs2),tc_Message_Omsg)),tc_Message_Omsg)
| c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_B))))) = c_Message_Omsg_OKey(c_Public_OshrK(v_A)) ),
inference(spm,[status(thm)],[c_0_58,c_0_59]) ).
cnf(c_0_66,plain,
( ~ c_in(c_Message_Omsg_OMPair(X3,X1),X2,tc_Message_Omsg)
| c_in(X1,c_Message_Oparts(X2),tc_Message_Omsg) ),
inference(spm,[status(thm)],[c_0_60,c_0_35]) ).
cnf(c_0_67,plain,
( ~ c_in(c_Event_Oevent_OSays(X1,X2,X3),c_List_Oset(X4,tc_Event_Oevent),tc_Event_Oevent)
| c_in(X3,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X4)),tc_Message_Omsg) ),
c_0_61 ).
cnf(c_0_68,plain,
( ~ c_in(c_Event_Oevent_OGets(X2,X3),c_List_Oset(X1,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(X1,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent))
| c_in(c_Event_Oevent_OSays(v_sko__usf(X2,X3,X1),X2,X3),c_List_Oset(X1,tc_Event_Oevent),tc_Event_Oevent) ),
c_0_62 ).
cnf(c_0_69,axiom,
c_Message_Oparts(c_union(X1,X2,tc_Message_Omsg)) = c_union(c_Message_Oparts(X1),c_Message_Oparts(X2),tc_Message_Omsg),
cls_Message_Oparts__Un_0 ).
cnf(c_0_70,axiom,
c_Message_Oparts(c_Message_Oparts(X1)) = c_Message_Oparts(X1),
cls_Message_Oparts__idem_0 ).
cnf(c_0_71,plain,
( ~ c_in(X1,c_Message_Oparts(c_insert(c_Message_Omsg_ONonce(X2),X3,tc_Message_Omsg)),tc_Message_Omsg)
| c_in(X1,c_Message_Oparts(X3),tc_Message_Omsg)
| X1 = c_Message_Omsg_ONonce(X2) ),
inference(spm,[status(thm)],[c_0_50,c_0_63]) ).
cnf(c_0_72,negated_conjecture,
( ~ c_in(v_X,c_Message_Oparts(c_insert(c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_B)))),c_Event_Oknows(c_Message_Oagent_OSpy,v_evs2),tc_Message_Omsg)),tc_Message_Omsg)
| c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_Message_Oparts(c_insert(c_Message_Omsg_ONonce(v_NA),c_insert(c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_B))),c_Event_Oknows(c_Message_Oagent_OSpy,v_evs2),tc_Message_Omsg),tc_Message_Omsg)),tc_Message_Omsg)
| c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_B)))) = c_Message_Omsg_OKey(c_Public_OshrK(v_A))
| c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_B))))) = c_Message_Omsg_OKey(c_Public_OshrK(v_A)) ),
inference(spm,[status(thm)],[c_0_64,c_0_65]) ).
cnf(c_0_73,plain,
( ~ c_in(c_Message_Omsg_OMPair(X4,X1),X3,tc_Message_Omsg)
| c_in(X1,c_Message_Oparts(c_insert(X2,X3,tc_Message_Omsg)),tc_Message_Omsg) ),
inference(spm,[status(thm)],[c_0_66,c_0_39]) ).
cnf(c_0_74,plain,
( ~ c_in(X2,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent))
| ~ c_in(c_Event_Oevent_OGets(X3,X1),c_List_Oset(X2,tc_Event_Oevent),tc_Event_Oevent)
| c_in(X1,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X2)),tc_Message_Omsg) ),
inference(spm,[status(thm)],[c_0_67,c_0_68]) ).
cnf(c_0_75,negated_conjecture,
c_in(c_Event_Oevent_OGets(v_B,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),v_X)))),c_List_Oset(v_evs2,tc_Event_Oevent),tc_Event_Oevent),
cls_conjecture_2 ).
cnf(c_0_76,negated_conjecture,
c_in(v_evs2,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent)),
cls_conjecture_0 ).
cnf(c_0_77,plain,
c_Message_Oparts(c_union(c_Message_Oparts(X1),X2,tc_Message_Omsg)) = c_Message_Oparts(c_union(X1,X2,tc_Message_Omsg)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_69,c_0_70]),c_0_69]) ).
cnf(c_0_78,axiom,
c_union(X1,c_insert(X2,X3,X4),X4) = c_insert(X2,c_union(X1,X3,X4),X4),
cls_Set_OUn__insert__right_0 ).
cnf(c_0_79,plain,
c_Message_Oparts(c_union(X1,c_Message_Oparts(X2),tc_Message_Omsg)) = c_Message_Oparts(c_union(X1,X2,tc_Message_Omsg)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_69,c_0_70]),c_0_69]) ).
cnf(c_0_80,axiom,
c_union(c_insert(X1,X2,X3),X4,X3) = c_insert(X1,c_union(X2,X4,X3),X3),
cls_Set_OUn__insert__left_0 ).
cnf(c_0_81,negated_conjecture,
( ~ c_in(v_X,c_Message_Oparts(c_insert(c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_B)))),c_Event_Oknows(c_Message_Oagent_OSpy,v_evs2),tc_Message_Omsg)),tc_Message_Omsg)
| c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_Message_Oparts(c_insert(c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_B))),c_Event_Oknows(c_Message_Oagent_OSpy,v_evs2),tc_Message_Omsg)),tc_Message_Omsg)
| c_Message_Omsg_OKey(c_Public_OshrK(v_A)) = c_Message_Omsg_ONonce(v_NA)
| c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_B)))) = c_Message_Omsg_OKey(c_Public_OshrK(v_A))
| c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_B))))) = c_Message_Omsg_OKey(c_Public_OshrK(v_A)) ),
inference(spm,[status(thm)],[c_0_71,c_0_72]) ).
cnf(c_0_82,plain,
( ~ c_in(c_Message_Omsg_OMPair(X4,X1),X3,tc_Message_Omsg)
| c_in(X1,c_Message_Oparts(c_insert(X2,c_Message_Oparts(X3),tc_Message_Omsg)),tc_Message_Omsg) ),
inference(spm,[status(thm)],[c_0_73,c_0_35]) ).
cnf(c_0_83,negated_conjecture,
c_in(c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),v_X))),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs2)),tc_Message_Omsg),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_74,c_0_75]),c_0_76])]) ).
cnf(c_0_84,axiom,
c_Message_Oparts(c_Message_Oanalz(X1)) = c_Message_Oparts(X1),
cls_Message_Oparts__analz_0 ).
cnf(c_0_85,plain,
c_Message_Oparts(c_insert(X1,c_union(c_Message_Oparts(X2),X3,tc_Message_Omsg),tc_Message_Omsg)) = c_Message_Oparts(c_insert(X1,c_union(X2,X3,tc_Message_Omsg),tc_Message_Omsg)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_77,c_0_78]),c_0_78]) ).
cnf(c_0_86,axiom,
c_union(X1,X1,X2) = X1,
cls_Set_OUn__absorb_0 ).
cnf(c_0_87,plain,
c_Message_Oparts(c_insert(X1,c_union(X2,c_Message_Oparts(X3),tc_Message_Omsg),tc_Message_Omsg)) = c_Message_Oparts(c_insert(X1,c_union(X2,X3,tc_Message_Omsg),tc_Message_Omsg)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_79,c_0_80]),c_0_80]) ).
cnf(c_0_88,negated_conjecture,
( ~ c_in(v_X,c_Message_Oparts(c_insert(c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_B)))),c_Event_Oknows(c_Message_Oagent_OSpy,v_evs2),tc_Message_Omsg)),tc_Message_Omsg)
| c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_Message_Oparts(c_insert(c_Message_Omsg_ONonce(v_NB),c_insert(c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_B)),c_Event_Oknows(c_Message_Oagent_OSpy,v_evs2),tc_Message_Omsg),tc_Message_Omsg)),tc_Message_Omsg)
| c_Message_Omsg_OKey(c_Public_OshrK(v_A)) = c_Message_Omsg_ONonce(v_NA)
| c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_B))) = c_Message_Omsg_OKey(c_Public_OshrK(v_A))
| c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_B)))) = c_Message_Omsg_OKey(c_Public_OshrK(v_A))
| c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_B))))) = c_Message_Omsg_OKey(c_Public_OshrK(v_A)) ),
inference(spm,[status(thm)],[c_0_64,c_0_81]) ).
cnf(c_0_89,negated_conjecture,
c_in(c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),v_X)),c_Message_Oparts(c_insert(X1,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs2)),tc_Message_Omsg)),tc_Message_Omsg),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_82,c_0_83]),c_0_84]) ).
cnf(c_0_90,plain,
c_Message_Oparts(c_insert(X1,c_Message_Oparts(X2),tc_Message_Omsg)) = c_Message_Oparts(c_insert(X1,X2,tc_Message_Omsg)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_85,c_0_86]),c_0_87]),c_0_86]) ).
cnf(c_0_91,negated_conjecture,
( ~ c_in(v_X,c_Message_Oparts(c_insert(c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_B)))),c_Event_Oknows(c_Message_Oagent_OSpy,v_evs2),tc_Message_Omsg)),tc_Message_Omsg)
| c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_Message_Oparts(c_insert(c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_B)),c_Event_Oknows(c_Message_Oagent_OSpy,v_evs2),tc_Message_Omsg)),tc_Message_Omsg)
| c_Message_Omsg_OKey(c_Public_OshrK(v_A)) = c_Message_Omsg_ONonce(v_NB)
| c_Message_Omsg_OKey(c_Public_OshrK(v_A)) = c_Message_Omsg_ONonce(v_NA)
| c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_B))) = c_Message_Omsg_OKey(c_Public_OshrK(v_A))
| c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_B)))) = c_Message_Omsg_OKey(c_Public_OshrK(v_A))
| c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_B))))) = c_Message_Omsg_OKey(c_Public_OshrK(v_A)) ),
inference(spm,[status(thm)],[c_0_71,c_0_88]) ).
cnf(c_0_92,plain,
( ~ c_in(X1,c_Message_Oparts(c_insert(X2,c_insert(X3,X4,tc_Message_Omsg),tc_Message_Omsg)),tc_Message_Omsg)
| c_in(X1,c_Message_Oparts(c_insert(c_Message_Omsg_OMPair(X2,X3),X4,tc_Message_Omsg)),tc_Message_Omsg) ),
inference(spm,[status(thm)],[c_0_39,c_0_57]) ).
cnf(c_0_93,negated_conjecture,
c_in(c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),v_X)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs2)),tc_Message_Omsg),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_66,c_0_83]),c_0_84]) ).
cnf(c_0_94,negated_conjecture,
c_in(c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),v_X)),c_Message_Oparts(c_insert(X1,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs2),tc_Message_Omsg)),tc_Message_Omsg),
inference(rw,[status(thm)],[c_0_89,c_0_90]) ).
cnf(c_0_95,plain,
~ c_in(c_Message_Omsg_OCrypt(X1,X2),c_Event_Oused(c_List_Olist_ONil),tc_Message_Omsg),
inference(fof_simplification,[status(thm)],[cls_Public_OCrypt__notin__used__empty_0]) ).
cnf(c_0_96,negated_conjecture,
( ~ c_in(v_X,c_Message_Oparts(c_insert(c_Message_Omsg_ONonce(v_NA),c_insert(c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_B))),c_Event_Oknows(c_Message_Oagent_OSpy,v_evs2),tc_Message_Omsg),tc_Message_Omsg)),tc_Message_Omsg)
| c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_Message_Oparts(c_insert(c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_B)),c_Event_Oknows(c_Message_Oagent_OSpy,v_evs2),tc_Message_Omsg)),tc_Message_Omsg)
| c_Message_Omsg_OKey(c_Public_OshrK(v_A)) = c_Message_Omsg_ONonce(v_NA)
| c_Message_Omsg_OKey(c_Public_OshrK(v_A)) = c_Message_Omsg_ONonce(v_NB)
| c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_B))) = c_Message_Omsg_OKey(c_Public_OshrK(v_A))
| c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_B)))) = c_Message_Omsg_OKey(c_Public_OshrK(v_A))
| c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_B))))) = c_Message_Omsg_OKey(c_Public_OshrK(v_A)) ),
inference(spm,[status(thm)],[c_0_91,c_0_92]) ).
cnf(c_0_97,plain,
( ~ c_in(X1,c_Message_Oparts(X3),tc_Message_Omsg)
| c_in(X1,c_Message_Oparts(c_insert(c_Message_Omsg_ONonce(X2),X3,tc_Message_Omsg)),tc_Message_Omsg) ),
inference(spm,[status(thm)],[c_0_39,c_0_63]) ).
cnf(c_0_98,negated_conjecture,
c_in(c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),v_X),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs2)),tc_Message_Omsg),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_66,c_0_93]),c_0_70]) ).
cnf(c_0_99,plain,
( ~ c_in(c_Message_Omsg_OMPair(X1,X2),c_Message_Oparts(c_insert(X1,c_insert(X2,X3,tc_Message_Omsg),tc_Message_Omsg)),tc_Message_Omsg)
| c_Message_Oparts(c_insert(c_Message_Omsg_OMPair(X1,X2),X3,tc_Message_Omsg)) = c_Message_Oparts(c_insert(X1,c_insert(X2,X3,tc_Message_Omsg),tc_Message_Omsg)) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_57]),c_0_70]),c_0_70]),c_0_70]) ).
cnf(c_0_100,negated_conjecture,
c_in(c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),v_X),c_Message_Oparts(c_insert(X1,c_insert(X2,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs2),tc_Message_Omsg),tc_Message_Omsg)),tc_Message_Omsg),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_73,c_0_94]),c_0_90]) ).
cnf(c_0_101,plain,
~ c_in(c_Message_Omsg_OCrypt(X1,X2),c_Event_Oused(c_List_Olist_ONil),tc_Message_Omsg),
c_0_95 ).
cnf(c_0_102,negated_conjecture,
( ~ c_in(v_X,c_Message_Oparts(c_insert(c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_B))),c_Event_Oknows(c_Message_Oagent_OSpy,v_evs2),tc_Message_Omsg)),tc_Message_Omsg)
| c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_Message_Oparts(c_insert(c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_B)),c_Event_Oknows(c_Message_Oagent_OSpy,v_evs2),tc_Message_Omsg)),tc_Message_Omsg)
| c_Message_Omsg_OKey(c_Public_OshrK(v_A)) = c_Message_Omsg_ONonce(v_NB)
| c_Message_Omsg_OKey(c_Public_OshrK(v_A)) = c_Message_Omsg_ONonce(v_NA)
| c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_B))) = c_Message_Omsg_OKey(c_Public_OshrK(v_A))
| c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_B)))) = c_Message_Omsg_OKey(c_Public_OshrK(v_A))
| c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_B))))) = c_Message_Omsg_OKey(c_Public_OshrK(v_A)) ),
inference(spm,[status(thm)],[c_0_96,c_0_97]) ).
cnf(c_0_103,axiom,
c_in(c_Message_Omsg_OKey(c_Public_OshrK(X1)),c_Event_Oused(X2),tc_Message_Omsg),
cls_Public_OshrK__in__used_0 ).
cnf(c_0_104,negated_conjecture,
c_in(v_X,c_Message_Oparts(c_insert(X1,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs2)),tc_Message_Omsg)),tc_Message_Omsg),
inference(spm,[status(thm)],[c_0_73,c_0_98]) ).
cnf(c_0_105,axiom,
c_Message_Oparts(c_insert(c_Message_Omsg_OAgent(X1),X2,tc_Message_Omsg)) = c_insert(c_Message_Omsg_OAgent(X1),c_Message_Oparts(X2),tc_Message_Omsg),
cls_Message_Oparts__insert__Agent_0 ).
cnf(c_0_106,negated_conjecture,
c_Message_Oparts(c_insert(c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),v_X),c_Event_Oknows(c_Message_Oagent_OSpy,v_evs2),tc_Message_Omsg)) = c_Message_Oparts(c_insert(c_Message_Omsg_OAgent(v_B),c_insert(v_X,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs2),tc_Message_Omsg),tc_Message_Omsg)),
inference(spm,[status(thm)],[c_0_99,c_0_100]) ).
cnf(c_0_107,plain,
( ~ c_in(c_Message_Omsg_OMPair(X1,X2),c_Message_Oanalz(X3),tc_Message_Omsg)
| c_in(X1,c_Message_Oanalz(X3),tc_Message_Omsg) ),
inference(fof_simplification,[status(thm)],[cls_Message_OMPair__analz_1]) ).
cnf(c_0_108,negated_conjecture,
( ~ c_in(v_X,c_Message_Oparts(c_insert(c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_B))),c_Event_Oknows(c_Message_Oagent_OSpy,v_evs2),tc_Message_Omsg)),tc_Message_Omsg)
| c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_Message_Oparts(c_insert(c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_B)),c_Event_Oknows(c_Message_Oagent_OSpy,v_evs2),tc_Message_Omsg)),tc_Message_Omsg)
| c_Message_Omsg_OKey(c_Public_OshrK(v_A)) = c_Message_Omsg_ONonce(v_NA)
| c_Message_Omsg_OKey(c_Public_OshrK(v_A)) = c_Message_Omsg_ONonce(v_NB)
| c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_B))) = c_Message_Omsg_OKey(c_Public_OshrK(v_A))
| c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_B)))) = c_Message_Omsg_OKey(c_Public_OshrK(v_A)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_101,c_0_102]),c_0_103])]) ).
cnf(c_0_109,negated_conjecture,
c_in(v_X,c_Message_Oparts(c_insert(X1,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs2),tc_Message_Omsg)),tc_Message_Omsg),
inference(rw,[status(thm)],[c_0_104,c_0_90]) ).
cnf(c_0_110,plain,
( ~ c_in(X2,c_Message_Oparts(X3),tc_Message_Omsg)
| c_Message_Oparts(c_insert(c_Message_Omsg_OAgent(X1),c_insert(X2,X3,tc_Message_Omsg),tc_Message_Omsg)) = c_Message_Oparts(c_insert(c_Message_Omsg_OAgent(X1),X3,tc_Message_Omsg)) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_105,c_0_53]),c_0_105]) ).
cnf(c_0_111,negated_conjecture,
c_Message_Oparts(c_insert(c_Message_Omsg_OAgent(v_B),c_insert(v_X,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs2),tc_Message_Omsg),tc_Message_Omsg)) = c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs2)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_106]),c_0_98])]) ).
cnf(c_0_112,negated_conjecture,
c_in(v_X,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs2)),tc_Message_Omsg),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_66,c_0_98]),c_0_70]) ).
cnf(c_0_113,plain,
( ~ c_in(c_Message_Omsg_OMPair(X1,X2),c_Message_Oanalz(X3),tc_Message_Omsg)
| c_in(X1,c_Message_Oanalz(X3),tc_Message_Omsg) ),
c_0_107 ).
cnf(c_0_114,axiom,
c_Message_Oanalz(c_Message_Oparts(X1)) = c_Message_Oparts(X1),
cls_Message_Oanalz__parts_0 ).
cnf(c_0_115,negated_conjecture,
( c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_Message_Oparts(c_insert(c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_B)),c_Event_Oknows(c_Message_Oagent_OSpy,v_evs2),tc_Message_Omsg)),tc_Message_Omsg)
| c_Message_Omsg_OKey(c_Public_OshrK(v_A)) = c_Message_Omsg_ONonce(v_NB)
| c_Message_Omsg_OKey(c_Public_OshrK(v_A)) = c_Message_Omsg_ONonce(v_NA)
| c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_B))) = c_Message_Omsg_OKey(c_Public_OshrK(v_A))
| c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_B)))) = c_Message_Omsg_OKey(c_Public_OshrK(v_A)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_108,c_0_109])]) ).
cnf(c_0_116,negated_conjecture,
c_Message_Oparts(c_insert(c_Message_Omsg_OAgent(v_B),c_Event_Oknows(c_Message_Oagent_OSpy,v_evs2),tc_Message_Omsg)) = c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs2)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_110,c_0_111]),c_0_112])]) ).
cnf(c_0_117,plain,
( ~ c_in(c_Message_Omsg_OMPair(X1,X3),c_Message_Oparts(X2),tc_Message_Omsg)
| c_in(X1,c_Message_Oparts(X2),tc_Message_Omsg) ),
inference(spm,[status(thm)],[c_0_113,c_0_114]) ).
cnf(c_0_118,plain,
( ~ c_in(X3,c_Message_Oparts(X2),tc_Message_Omsg)
| ~ c_in(X1,c_insert(X3,X2,tc_Message_Omsg),tc_Message_Omsg)
| c_in(X1,c_Message_Oparts(X2),tc_Message_Omsg) ),
inference(spm,[status(thm)],[c_0_35,c_0_53]) ).
cnf(c_0_119,negated_conjecture,
( c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_Message_Oparts(c_insert(c_Message_Omsg_OAgent(v_Aa),c_insert(c_Message_Omsg_OAgent(v_B),c_Event_Oknows(c_Message_Oagent_OSpy,v_evs2),tc_Message_Omsg),tc_Message_Omsg)),tc_Message_Omsg)
| c_Message_Omsg_OKey(c_Public_OshrK(v_A)) = c_Message_Omsg_ONonce(v_NA)
| c_Message_Omsg_OKey(c_Public_OshrK(v_A)) = c_Message_Omsg_ONonce(v_NB)
| c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_B)) = c_Message_Omsg_OKey(c_Public_OshrK(v_A))
| c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_B))) = c_Message_Omsg_OKey(c_Public_OshrK(v_A))
| c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_B)))) = c_Message_Omsg_OKey(c_Public_OshrK(v_A)) ),
inference(spm,[status(thm)],[c_0_64,c_0_115]) ).
cnf(c_0_120,negated_conjecture,
c_Message_Oparts(c_insert(X1,c_insert(c_Message_Omsg_OAgent(v_B),c_Event_Oknows(c_Message_Oagent_OSpy,v_evs2),tc_Message_Omsg),tc_Message_Omsg)) = c_Message_Oparts(c_insert(X1,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs2),tc_Message_Omsg)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_90,c_0_116]),c_0_90]) ).
cnf(c_0_121,plain,
( ~ c_in(c_Message_Omsg_OMPair(X1,X3),X2,tc_Message_Omsg)
| c_in(X1,c_Message_Oparts(X2),tc_Message_Omsg) ),
inference(spm,[status(thm)],[c_0_117,c_0_35]) ).
cnf(c_0_122,plain,
( ~ c_in(c_Message_Omsg_OAgent(X3),c_Message_Oparts(X2),tc_Message_Omsg)
| ~ c_in(X1,c_Message_Oparts(c_insert(c_Message_Omsg_OAgent(X3),X2,tc_Message_Omsg)),tc_Message_Omsg)
| c_in(X1,c_Message_Oparts(X2),tc_Message_Omsg) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_118,c_0_105]),c_0_70]),c_0_70]) ).
cnf(c_0_123,negated_conjecture,
( c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_Message_Oparts(c_insert(c_Message_Omsg_OAgent(v_Aa),c_Event_Oknows(c_Message_Oagent_OSpy,v_evs2),tc_Message_Omsg)),tc_Message_Omsg)
| c_Message_Omsg_OKey(c_Public_OshrK(v_A)) = c_Message_Omsg_ONonce(v_NB)
| c_Message_Omsg_OKey(c_Public_OshrK(v_A)) = c_Message_Omsg_ONonce(v_NA)
| c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_B)) = c_Message_Omsg_OKey(c_Public_OshrK(v_A))
| c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_B))) = c_Message_Omsg_OKey(c_Public_OshrK(v_A))
| c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_B)))) = c_Message_Omsg_OKey(c_Public_OshrK(v_A)) ),
inference(rw,[status(thm)],[c_0_119,c_0_120]) ).
cnf(c_0_124,negated_conjecture,
c_in(c_Message_Omsg_OAgent(v_Aa),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs2)),tc_Message_Omsg),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_121,c_0_93]),c_0_70]) ).
cnf(c_0_125,negated_conjecture,
( c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs2)),tc_Message_Omsg)
| c_Message_Omsg_OKey(c_Public_OshrK(v_A)) = c_Message_Omsg_ONonce(v_NA)
| c_Message_Omsg_OKey(c_Public_OshrK(v_A)) = c_Message_Omsg_ONonce(v_NB)
| c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_B)) = c_Message_Omsg_OKey(c_Public_OshrK(v_A))
| c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_B))) = c_Message_Omsg_OKey(c_Public_OshrK(v_A))
| c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_B)))) = c_Message_Omsg_OKey(c_Public_OshrK(v_A)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_122,c_0_123]),c_0_124])]) ).
cnf(c_0_126,plain,
~ c_in(c_Message_Omsg_ONonce(X1),c_Message_Oparts(c_Event_OinitState(X2)),tc_Message_Omsg),
inference(fof_simplification,[status(thm)],[cls_Public_ONonce__notin__initState_0]) ).
cnf(c_0_127,negated_conjecture,
( ~ c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),X1,tc_Message_Omsg)
| c_in(c_Message_Omsg_ONonce(v_NA),c_Message_Oparts(X1),tc_Message_Omsg)
| c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs2)),tc_Message_Omsg)
| c_Message_Omsg_OKey(c_Public_OshrK(v_A)) = c_Message_Omsg_ONonce(v_NB)
| c_Message_Omsg_OKey(c_Public_OshrK(v_A)) = c_Message_Omsg_ONonce(v_NA)
| c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_B)) = c_Message_Omsg_OKey(c_Public_OshrK(v_A))
| c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_B))) = c_Message_Omsg_OKey(c_Public_OshrK(v_A)) ),
inference(spm,[status(thm)],[c_0_121,c_0_125]) ).
cnf(c_0_128,axiom,
c_in(c_Message_Omsg_OKey(c_Public_OshrK(X1)),c_Event_OinitState(X1),tc_Message_Omsg),
cls_Public_OshrK__in__initState_0 ).
cnf(c_0_129,plain,
~ c_in(c_Message_Omsg_ONonce(X1),c_Message_Oparts(c_Event_OinitState(X2)),tc_Message_Omsg),
c_0_126 ).
cnf(c_0_130,negated_conjecture,
( c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs2)),tc_Message_Omsg)
| c_Message_Omsg_OKey(c_Public_OshrK(v_A)) = c_Message_Omsg_ONonce(v_NA)
| c_Message_Omsg_OKey(c_Public_OshrK(v_A)) = c_Message_Omsg_ONonce(v_NB)
| c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_B)) = c_Message_Omsg_OKey(c_Public_OshrK(v_A))
| c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_B))) = c_Message_Omsg_OKey(c_Public_OshrK(v_A)) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_127,c_0_128]),c_0_129]) ).
cnf(c_0_131,negated_conjecture,
( c_Message_Omsg_OKey(c_Public_OshrK(v_A)) = c_Message_Omsg_ONonce(v_NB)
| c_Message_Omsg_OKey(c_Public_OshrK(v_A)) = c_Message_Omsg_ONonce(v_NA)
| c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_B)) = c_Message_Omsg_OKey(c_Public_OshrK(v_A))
| c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_B))) = c_Message_Omsg_OKey(c_Public_OshrK(v_A)) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_130]),c_0_48]) ).
cnf(c_0_132,plain,
( ~ c_in(X3,c_Message_Osynth(X2),tc_Message_Omsg)
| ~ c_in(X1,c_Message_Osynth(X2),tc_Message_Omsg)
| c_in(c_Message_Omsg_OMPair(X3,X1),c_Message_Osynth(X2),tc_Message_Omsg) ),
inference(fof_simplification,[status(thm)],[cls_Message_Osynth_OMPair_0]) ).
cnf(c_0_133,negated_conjecture,
( ~ c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),X1,tc_Message_Omsg)
| c_in(c_Message_Omsg_ONonce(v_NB),c_Message_Oparts(X1),tc_Message_Omsg)
| c_Message_Omsg_OKey(c_Public_OshrK(v_A)) = c_Message_Omsg_ONonce(v_NA)
| c_Message_Omsg_OKey(c_Public_OshrK(v_A)) = c_Message_Omsg_ONonce(v_NB)
| c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_B)) = c_Message_Omsg_OKey(c_Public_OshrK(v_A)) ),
inference(spm,[status(thm)],[c_0_121,c_0_131]) ).
cnf(c_0_134,plain,
( ~ c_in(c_Message_Omsg_OKey(X1),c_Message_Osynth(X2),tc_Message_Omsg)
| c_in(c_Message_Omsg_OKey(X1),X2,tc_Message_Omsg) ),
inference(fof_simplification,[status(thm)],[cls_Message_OKey__synth__eq_0]) ).
cnf(c_0_135,plain,
( ~ c_in(X3,c_Message_Osynth(X2),tc_Message_Omsg)
| ~ c_in(X1,c_Message_Osynth(X2),tc_Message_Omsg)
| c_in(c_Message_Omsg_OMPair(X3,X1),c_Message_Osynth(X2),tc_Message_Omsg) ),
c_0_132 ).
cnf(c_0_136,negated_conjecture,
( c_Message_Omsg_OKey(c_Public_OshrK(v_A)) = c_Message_Omsg_ONonce(v_NB)
| c_Message_Omsg_OKey(c_Public_OshrK(v_A)) = c_Message_Omsg_ONonce(v_NA)
| c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_B)) = c_Message_Omsg_OKey(c_Public_OshrK(v_A)) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_133,c_0_128]),c_0_129]) ).
cnf(c_0_137,axiom,
c_in(c_Message_Omsg_OAgent(X1),c_Message_Osynth(X2),tc_Message_Omsg),
cls_Message_OAgent__synth_0 ).
cnf(c_0_138,plain,
( ~ c_in(c_Message_Omsg_OKey(X1),c_Message_Osynth(X2),tc_Message_Omsg)
| c_in(c_Message_Omsg_OKey(X1),X2,tc_Message_Omsg) ),
c_0_134 ).
cnf(c_0_139,negated_conjecture,
( c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_Message_Osynth(X1),tc_Message_Omsg)
| c_Message_Omsg_OKey(c_Public_OshrK(v_A)) = c_Message_Omsg_ONonce(v_NA)
| c_Message_Omsg_OKey(c_Public_OshrK(v_A)) = c_Message_Omsg_ONonce(v_NB) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_135,c_0_136]),c_0_137]),c_0_137])]) ).
cnf(c_0_140,negated_conjecture,
( c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),X1,tc_Message_Omsg)
| c_Message_Omsg_OKey(c_Public_OshrK(v_A)) = c_Message_Omsg_ONonce(v_NB)
| c_Message_Omsg_OKey(c_Public_OshrK(v_A)) = c_Message_Omsg_ONonce(v_NA) ),
inference(spm,[status(thm)],[c_0_138,c_0_139]) ).
cnf(c_0_141,negated_conjecture,
( c_Message_Omsg_OKey(c_Public_OshrK(v_A)) = c_Message_Omsg_ONonce(v_NA)
| c_Message_Omsg_OKey(c_Public_OshrK(v_A)) = c_Message_Omsg_ONonce(v_NB) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_140]),c_0_48]) ).
cnf(c_0_142,plain,
~ c_in(c_Message_Omsg_ONonce(X1),c_Event_OinitState(X2),tc_Message_Omsg),
inference(spm,[status(thm)],[c_0_129,c_0_35]) ).
cnf(c_0_143,negated_conjecture,
c_Message_Omsg_OKey(c_Public_OshrK(v_A)) = c_Message_Omsg_ONonce(v_NA),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_128,c_0_141]),c_0_142]) ).
cnf(c_0_144,negated_conjecture,
c_in(c_Message_Omsg_ONonce(v_NA),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs2)),tc_Message_Omsg),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_121,c_0_83]),c_0_84]) ).
cnf(c_0_145,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_40,c_0_143]),c_0_144])]),c_0_48]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWV316-2 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.04 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/5.37 % Computer : n013.cluster.edu
% 0.11/5.37 % Model : x86_64 x86_64
% 0.11/5.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/5.37 % Memory : 8046.5625MB
% 0.11/5.37 % OS : Linux 6.8.0-71-generic
% 0.11/5.38 % CPULimit : 300
% 0.11/5.38 % WCLimit : 300
% 0.11/5.38 % DateTime : Mon Sep 21 08:40:14 UTC 2026
% 0.11/5.38 % CPUTime :
% 0.11/5.38 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.15/5.42 Running first-order theorem proving
% 0.15/5.42 Running: /export/starexec/sandbox/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.15/5.77 % Version: 3.5.1
% 0.15/5.77 % Preprocessing class: FSMSSMSMSSSNFFN.
% 0.15/5.77 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.15/5.77 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 1500s (5) cores
% 0.15/5.77 % Starting new_bool_3 with 300s (1) cores
% 0.15/5.77 % Starting new_bool_1 with 300s (1) cores
% 0.15/5.77 % Starting sh5l with 300s (1) cores
% 0.15/5.77 % G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with pid 388296 completed with status 0
% 0.15/5.77 % Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI
% 0.15/5.77 % Preprocessing class: FSMSSMSMSSSNFFN.
% 0.15/5.77 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.15/5.77 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 1500s (5) cores
% 0.15/5.77 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.15/5.77 % No SInE strategy applied
% 0.15/5.77 % Search class: FGHSM-FFMS31-DFFFFFNN
% 0.15/5.77 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.15/5.77 % Starting SubtermCWHack with 136s (1) cores
% 0.15/5.77 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 151s (1) cores
% 0.15/5.77 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S0Y with 271s (1) cores
% 0.15/5.77 % Starting new_bool_3 with 271s (1) cores
% 0.15/5.77 % Starting new_bool_1 with 271s (1) cores
% 0.15/5.77 % G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S0Y with pid 388302 completed with status 0
% 0.15/5.77 % Result found by G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S0Y
% 0.15/5.77 % Preprocessing class: FSMSSMSMSSSNFFN.
% 0.15/5.77 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.15/5.77 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 1500s (5) cores
% 0.15/5.77 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.15/5.77 % No SInE strategy applied
% 0.15/5.77 % Search class: FGHSM-FFMS31-DFFFFFNN
% 0.15/5.77 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.15/5.77 % Starting SubtermCWHack with 136s (1) cores
% 0.15/5.77 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 151s (1) cores
% 0.15/5.77 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S0Y with 271s (1) cores
% 0.15/5.77 % Preprocessing time : 0.002 s
% 0.15/5.77 % Presaturation interreduction done
% 0.15/5.77
% 0.15/5.77 % Proof found!
% 0.15/5.77 % SZS status Unsatisfiable
% 0.15/5.77 % SZS output start CNFRefutation
% See solution above
% 0.15/5.77 % Parsed axioms : 37
% 0.15/5.77 % Removed by relevancy pruning/SinE : 0
% 0.15/5.77 % Initial clauses : 37
% 0.15/5.77 % Removed in clause preprocessing : 0
% 0.15/5.77 % Initial clauses in saturation : 37
% 0.15/5.77 % Processed clauses : 1235
% 0.15/5.77 % ...of these trivial : 209
% 0.15/5.77 % ...subsumed : 301
% 0.15/5.77 % ...remaining for further processing : 725
% 0.15/5.77 % Other redundant clauses eliminated : 0
% 0.15/5.77 % Clauses deleted for lack of memory : 0
% 0.15/5.77 % Backward-subsumed : 227
% 0.15/5.77 % Backward-rewritten : 185
% 0.15/5.77 % Generated clauses : 8122
% 0.15/5.77 % ...of the previous two non-redundant : 6665
% 0.15/5.77 % ...aggressively subsumed : 0
% 0.15/5.77 % Contextual simplify-reflections : 4
% 0.15/5.77 % Paramodulations : 8119
% 0.15/5.77 % Factorizations : 2
% 0.15/5.77 % NegExts : 0
% 0.15/5.77 % Equation resolutions : 0
% 0.15/5.77 % Disequality decompositions : 0
% 0.15/5.77 % Total rewrite steps : 8178
% 0.15/5.77 % ...of those cached : 5949
% 0.15/5.77 % Propositional unsat checks : 0
% 0.15/5.77 % Propositional check models : 0
% 0.15/5.77 % Propositional check unsatisfiable : 0
% 0.15/5.77 % Propositional clauses : 0
% 0.15/5.77 % Propositional clauses after purity: 0
% 0.15/5.77 % Propositional unsat core size : 0
% 0.15/5.77 % Propositional preprocessing time : 0.000
% 0.15/5.77 % Propositional encoding time : 0.000
% 0.15/5.77 % Propositional solver time : 0.000
% 0.15/5.77 % Success case prop preproc time : 0.000
% 0.15/5.77 % Success case prop encoding time : 0.000
% 0.15/5.77 % Success case prop solver time : 0.000
% 0.15/5.77 % Current number of processed clauses : 275
% 0.15/5.77 % Positive orientable unit clauses : 156
% 0.15/5.77 % Positive unorientable unit clauses: 1
% 0.15/5.77 % Negative unit clauses : 9
% 0.15/5.77 % Non-unit-clauses : 109
% 0.15/5.77 % Current number of unprocessed clauses: 4785
% 0.15/5.77 % ...number of literals in the above : 10800
% 0.15/5.77 % Current number of archived formulas : 0
% 0.15/5.77 % Current number of archived clauses : 450
% 0.15/5.77 % Clause-clause subsumption calls (NU) : 119986
% 0.15/5.77 % Rec. Clause-clause subsumption calls : 19020
% 0.15/5.77 % Non-unit clause-clause subsumptions : 496
% 0.15/5.77 % Unit Clause-clause subsumption calls : 3846
% 0.15/5.77 % Rewrite failures with RHS unbound : 0
% 0.15/5.77 % BW rewrite match attempts : 1108
% 0.15/5.77 % BW rewrite match successes : 95
% 0.15/5.77 % Condensation attempts : 0
% 0.15/5.77 % Condensation successes : 0
% 0.15/5.77 % Termbank termtop insertions : 217049
% 0.15/5.77 % Search garbage collected termcells : 58
% 0.15/5.77
% 0.15/5.77 % -------------------------------------------------
% 0.15/5.77 % User time : 0.298 s
% 0.15/5.77 % System time : 0.017 s
% 0.15/5.77 % Total time : 0.315 s
% 0.15/5.77 % Maximum resident set size: 3420 pages
% 0.15/5.77
% 0.15/5.77 % -------------------------------------------------
% 0.15/5.77 % User time : 1.470 s
% 0.15/5.77 % System time : 0.127 s
% 0.15/5.77 % Total time : 1.596 s
% 0.15/5.77 % Maximum resident set size: 4864 pages
% 0.15/5.77 % E exiting
%------------------------------------------------------------------------------