TSTP Solution File: SWV316-2 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SWV316-2 : TPTP v8.1.2. Released v3.2.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.tdmlrzsM2w true
% Computer : n022.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Fri Sep 1 00:09:02 EDT 2023
% Result : Unsatisfiable 14.60s 4.44s
% Output : Refutation 14.60s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.21 % Problem : SWV316-2 : TPTP v8.1.2. Released v3.2.0.
% 0.02/0.22 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.tdmlrzsM2w true
% 0.08/0.48 % Computer : n022.cluster.edu
% 0.08/0.48 % Model : x86_64 x86_64
% 0.08/0.48 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.48 % Memory : 8042.1875MB
% 0.08/0.48 % OS : Linux 3.10.0-693.el7.x86_64
% 0.08/0.48 % CPULimit : 300
% 0.08/0.48 % WCLimit : 300
% 0.08/0.48 % DateTime : Tue Aug 29 06:14:54 EDT 2023
% 0.08/0.49 % CPUTime :
% 0.08/0.49 % Running portfolio for 300 s
% 0.08/0.49 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.50 % Number of cores: 8
% 0.08/0.51 % Python version: Python 3.6.8
% 0.08/0.51 % Running in FO mode
% 0.23/0.77 % Total configuration time : 435
% 0.23/0.77 % Estimated wc time : 1092
% 0.23/0.77 % Estimated cpu time (7 cpus) : 156.0
% 0.23/0.96 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.23/1.00 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.23/1.00 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.23/1.00 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.23/1.00 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.23/1.03 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.23/1.04 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 14.60/4.44 % Solved by fo/fo1_av.sh.
% 14.60/4.44 % done 1144 iterations in 3.285s
% 14.60/4.44 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 14.60/4.44 % SZS output start Refutation
% 14.60/4.44 thf(tc_Event_Oevent_type, type, tc_Event_Oevent: $i).
% 14.60/4.44 thf(c_OtwayRees_Ootway_type, type, c_OtwayRees_Ootway: $i).
% 14.60/4.44 thf(c_Event_Oused_type, type, c_Event_Oused: $i > $i).
% 14.60/4.44 thf(c_in_type, type, c_in: $i > $i > $i > $o).
% 14.60/4.44 thf(c_Message_Oagent_OSpy_type, type, c_Message_Oagent_OSpy: $i).
% 14.60/4.44 thf(c_Message_Omsg_OKey_type, type, c_Message_Omsg_OKey: $i > $i).
% 14.60/4.44 thf(v_sko__usf_type, type, v_sko__usf: $i > $i > $i > $i).
% 14.60/4.44 thf(v_NB_type, type, v_NB: $i).
% 14.60/4.44 thf(c_Event_Obad_type, type, c_Event_Obad: $i).
% 14.60/4.44 thf(c_Event_Oevent_OSays_type, type, c_Event_Oevent_OSays: $i > $i > $i > $i).
% 14.60/4.44 thf(c_Event_OinitState_type, type, c_Event_OinitState: $i > $i).
% 14.60/4.44 thf(c_List_Oset_type, type, c_List_Oset: $i > $i > $i).
% 14.60/4.44 thf(c_Message_Omsg_OMPair_type, type, c_Message_Omsg_OMPair: $i > $i > $i).
% 14.60/4.44 thf(c_Public_OshrK_type, type, c_Public_OshrK: $i > $i).
% 14.60/4.44 thf(c_Event_Oknows_type, type, c_Event_Oknows: $i > $i > $i).
% 14.60/4.44 thf(tc_List_Olist_type, type, tc_List_Olist: $i > $i).
% 14.60/4.44 thf(c_Event_Oevent_OGets_type, type, c_Event_Oevent_OGets: $i > $i > $i).
% 14.60/4.44 thf(c_Message_Omsg_OCrypt_type, type, c_Message_Omsg_OCrypt: $i > $i > $i).
% 14.60/4.44 thf(c_insert_type, type, c_insert: $i > $i > $i > $i).
% 14.60/4.44 thf(c_Message_Oparts_type, type, c_Message_Oparts: $i > $i).
% 14.60/4.44 thf(v_NA_type, type, v_NA: $i).
% 14.60/4.44 thf(c_Message_Oanalz_type, type, c_Message_Oanalz: $i > $i).
% 14.60/4.44 thf(v_evs2_type, type, v_evs2: $i).
% 14.60/4.44 thf(c_Message_Omsg_OAgent_type, type, c_Message_Omsg_OAgent: $i > $i).
% 14.60/4.44 thf(c_List_Olist_ONil_type, type, c_List_Olist_ONil: $i).
% 14.60/4.44 thf(tc_Message_Omsg_type, type, tc_Message_Omsg: $i).
% 14.60/4.44 thf(tc_Message_Oagent_type, type, tc_Message_Oagent: $i).
% 14.60/4.44 thf(v_A_type, type, v_A: $i).
% 14.60/4.44 thf(c_Message_Osynth_type, type, c_Message_Osynth: $i > $i).
% 14.60/4.44 thf(v_X_type, type, v_X: $i).
% 14.60/4.44 thf(c_Message_Omsg_ONonce_type, type, c_Message_Omsg_ONonce: $i > $i).
% 14.60/4.44 thf(v_B_type, type, v_B: $i).
% 14.60/4.44 thf(v_Aa_type, type, v_Aa: $i).
% 14.60/4.44 thf(cls_conjecture_2, conjecture,
% 14.60/4.44 (~( c_in @
% 14.60/4.44 ( c_Event_Oevent_OGets @
% 14.60/4.44 v_B @
% 14.60/4.44 ( c_Message_Omsg_OMPair @
% 14.60/4.44 ( c_Message_Omsg_ONonce @ v_NA ) @
% 14.60/4.44 ( c_Message_Omsg_OMPair @
% 14.60/4.44 ( c_Message_Omsg_OAgent @ v_Aa ) @
% 14.60/4.44 ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ v_B ) @ v_X ) ) ) ) @
% 14.60/4.44 ( c_List_Oset @ v_evs2 @ tc_Event_Oevent ) @ tc_Event_Oevent ))).
% 14.60/4.44 thf(zf_stmt_0, negated_conjecture,
% 14.60/4.44 (c_in @
% 14.60/4.44 ( c_Event_Oevent_OGets @
% 14.60/4.44 v_B @
% 14.60/4.44 ( c_Message_Omsg_OMPair @
% 14.60/4.44 ( c_Message_Omsg_ONonce @ v_NA ) @
% 14.60/4.44 ( c_Message_Omsg_OMPair @
% 14.60/4.44 ( c_Message_Omsg_OAgent @ v_Aa ) @
% 14.60/4.44 ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ v_B ) @ v_X ) ) ) ) @
% 14.60/4.44 ( c_List_Oset @ v_evs2 @ tc_Event_Oevent ) @ tc_Event_Oevent),
% 14.60/4.44 inference('cnf.neg', [status(esa)], [cls_conjecture_2])).
% 14.60/4.44 thf(zip_derived_cl33, plain,
% 14.60/4.44 ( (c_in @
% 14.60/4.44 (c_Event_Oevent_OGets @ v_B @
% 14.60/4.44 (c_Message_Omsg_OMPair @ (c_Message_Omsg_ONonce @ v_NA) @
% 14.60/4.44 (c_Message_Omsg_OMPair @ (c_Message_Omsg_OAgent @ v_Aa) @
% 14.60/4.45 (c_Message_Omsg_OMPair @ (c_Message_Omsg_OAgent @ v_B) @ v_X)))) @
% 14.60/4.45 (c_List_Oset @ v_evs2 @ tc_Event_Oevent) @ tc_Event_Oevent)),
% 14.60/4.45 inference('cnf', [status(esa)], [zf_stmt_0])).
% 14.60/4.45 thf(cls_OtwayRees_OGets__imp__Says__dest_0, axiom,
% 14.60/4.45 (( ~( c_in @
% 14.60/4.45 V_evs @ c_OtwayRees_Ootway @ ( tc_List_Olist @ tc_Event_Oevent ) ) ) |
% 14.60/4.45 ( ~( c_in @
% 14.60/4.45 ( c_Event_Oevent_OGets @ V_B @ V_X ) @
% 14.60/4.45 ( c_List_Oset @ V_evs @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) |
% 14.60/4.45 ( c_in @
% 14.60/4.45 ( c_Event_Oevent_OSays @ ( v_sko__usf @ V_B @ V_X @ V_evs ) @ V_B @ V_X ) @
% 14.60/4.45 ( c_List_Oset @ V_evs @ tc_Event_Oevent ) @ tc_Event_Oevent ))).
% 14.60/4.45 thf(zip_derived_cl18, plain,
% 14.60/4.45 (![X0 : $i, X1 : $i, X2 : $i]:
% 14.60/4.45 (~ (c_in @ X0 @ c_OtwayRees_Ootway @ (tc_List_Olist @ tc_Event_Oevent))
% 14.60/4.45 | ~ (c_in @ (c_Event_Oevent_OGets @ X1 @ X2) @
% 14.60/4.45 (c_List_Oset @ X0 @ tc_Event_Oevent) @ tc_Event_Oevent)
% 14.60/4.45 | (c_in @
% 14.60/4.45 (c_Event_Oevent_OSays @ (v_sko__usf @ X1 @ X2 @ X0) @ X1 @ X2) @
% 14.60/4.45 (c_List_Oset @ X0 @ tc_Event_Oevent) @ tc_Event_Oevent))),
% 14.60/4.45 inference('cnf', [status(esa)], [cls_OtwayRees_OGets__imp__Says__dest_0])).
% 14.60/4.45 thf(cls_Event_OSays__imp__analz__Spy__dest_0, axiom,
% 14.60/4.45 (( ~( c_in @
% 14.60/4.45 ( c_Event_Oevent_OSays @ V_A @ V_B @ V_X ) @
% 14.60/4.45 ( c_List_Oset @ V_evs @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) |
% 14.60/4.45 ( c_in @
% 14.60/4.45 V_X @
% 14.60/4.45 ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ V_evs ) ) @
% 14.60/4.45 tc_Message_Omsg ))).
% 14.60/4.45 thf(zip_derived_cl0, plain,
% 14.60/4.45 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 14.60/4.45 (~ (c_in @ (c_Event_Oevent_OSays @ X0 @ X1 @ X2) @
% 14.60/4.45 (c_List_Oset @ X3 @ tc_Event_Oevent) @ tc_Event_Oevent)
% 14.60/4.45 | (c_in @ X2 @
% 14.60/4.45 (c_Message_Oanalz @ (c_Event_Oknows @ c_Message_Oagent_OSpy @ X3)) @
% 14.60/4.45 tc_Message_Omsg))),
% 14.60/4.45 inference('cnf', [status(esa)],
% 14.60/4.45 [cls_Event_OSays__imp__analz__Spy__dest_0])).
% 14.60/4.45 thf(zip_derived_cl230, plain,
% 14.60/4.45 (![X0 : $i, X1 : $i, X2 : $i]:
% 14.60/4.45 (~ (c_in @ (c_Event_Oevent_OGets @ X2 @ X1) @
% 14.60/4.45 (c_List_Oset @ X0 @ tc_Event_Oevent) @ tc_Event_Oevent)
% 14.60/4.45 | ~ (c_in @ X0 @ c_OtwayRees_Ootway @
% 14.60/4.45 (tc_List_Olist @ tc_Event_Oevent))
% 14.60/4.45 | (c_in @ X1 @
% 14.60/4.45 (c_Message_Oanalz @ (c_Event_Oknows @ c_Message_Oagent_OSpy @ X0)) @
% 14.60/4.45 tc_Message_Omsg))),
% 14.60/4.45 inference('s_sup-', [status(thm)], [zip_derived_cl18, zip_derived_cl0])).
% 14.60/4.45 thf(zip_derived_cl6619, plain,
% 14.60/4.45 ((~ (c_in @ v_evs2 @ c_OtwayRees_Ootway @
% 14.60/4.45 (tc_List_Olist @ tc_Event_Oevent))
% 14.60/4.45 | (c_in @
% 14.60/4.45 (c_Message_Omsg_OMPair @ (c_Message_Omsg_ONonce @ v_NA) @
% 14.60/4.45 (c_Message_Omsg_OMPair @ (c_Message_Omsg_OAgent @ v_Aa) @
% 14.60/4.45 (c_Message_Omsg_OMPair @ (c_Message_Omsg_OAgent @ v_B) @ v_X))) @
% 14.60/4.45 (c_Message_Oanalz @
% 14.60/4.45 (c_Event_Oknows @ c_Message_Oagent_OSpy @ v_evs2)) @
% 14.60/4.45 tc_Message_Omsg))),
% 14.60/4.45 inference('s_sup-', [status(thm)], [zip_derived_cl33, zip_derived_cl230])).
% 14.60/4.45 thf(cls_conjecture_0, conjecture,
% 14.60/4.45 (~( c_in @
% 14.60/4.45 v_evs2 @ c_OtwayRees_Ootway @ ( tc_List_Olist @ tc_Event_Oevent ) ))).
% 14.60/4.45 thf(zf_stmt_1, negated_conjecture,
% 14.60/4.45 (c_in @ v_evs2 @ c_OtwayRees_Ootway @ ( tc_List_Olist @ tc_Event_Oevent )),
% 14.60/4.45 inference('cnf.neg', [status(esa)], [cls_conjecture_0])).
% 14.60/4.45 thf(zip_derived_cl31, plain,
% 14.60/4.45 ( (c_in @ v_evs2 @ c_OtwayRees_Ootway @ (tc_List_Olist @ tc_Event_Oevent))),
% 14.60/4.45 inference('cnf', [status(esa)], [zf_stmt_1])).
% 14.60/4.45 thf(zip_derived_cl6620, plain,
% 14.60/4.45 ( (c_in @
% 14.60/4.45 (c_Message_Omsg_OMPair @ (c_Message_Omsg_ONonce @ v_NA) @
% 14.60/4.45 (c_Message_Omsg_OMPair @ (c_Message_Omsg_OAgent @ v_Aa) @
% 14.60/4.45 (c_Message_Omsg_OMPair @ (c_Message_Omsg_OAgent @ v_B) @ v_X))) @
% 14.60/4.45 (c_Message_Oanalz @ (c_Event_Oknows @ c_Message_Oagent_OSpy @ v_evs2)) @
% 14.60/4.45 tc_Message_Omsg)),
% 14.60/4.45 inference('demod', [status(thm)], [zip_derived_cl6619, zip_derived_cl31])).
% 14.60/4.45 thf(cls_Message_Oparts_OInj_0, axiom,
% 14.60/4.45 (( ~( c_in @ V_X @ V_H @ tc_Message_Omsg ) ) |
% 14.60/4.45 ( c_in @ V_X @ ( c_Message_Oparts @ V_H ) @ tc_Message_Omsg ))).
% 14.60/4.45 thf(zip_derived_cl7, plain,
% 14.60/4.45 (![X0 : $i, X1 : $i]:
% 14.60/4.45 (~ (c_in @ X0 @ X1 @ tc_Message_Omsg)
% 14.60/4.45 | (c_in @ X0 @ (c_Message_Oparts @ X1) @ tc_Message_Omsg))),
% 14.60/4.45 inference('cnf', [status(esa)], [cls_Message_Oparts_OInj_0])).
% 14.60/4.45 thf(cls_Message_OMPair__parts_0, axiom,
% 14.60/4.45 (( ~( c_in @
% 14.60/4.45 ( c_Message_Omsg_OMPair @ V_X @ V_Y ) @ ( c_Message_Oparts @ V_H ) @
% 14.60/4.45 tc_Message_Omsg ) ) |
% 14.60/4.45 ( c_in @ V_Y @ ( c_Message_Oparts @ V_H ) @ tc_Message_Omsg ))).
% 14.60/4.45 thf(zip_derived_cl5, plain,
% 14.60/4.45 (![X0 : $i, X1 : $i, X2 : $i]:
% 14.60/4.45 (~ (c_in @ (c_Message_Omsg_OMPair @ X0 @ X1) @
% 14.60/4.45 (c_Message_Oparts @ X2) @ tc_Message_Omsg)
% 14.60/4.45 | (c_in @ X1 @ (c_Message_Oparts @ X2) @ tc_Message_Omsg))),
% 14.60/4.45 inference('cnf', [status(esa)], [cls_Message_OMPair__parts_0])).
% 14.60/4.45 thf(zip_derived_cl116, plain,
% 14.60/4.45 (![X0 : $i, X1 : $i, X2 : $i]:
% 14.60/4.45 (~ (c_in @ (c_Message_Omsg_OMPair @ X2 @ X1) @ X0 @ tc_Message_Omsg)
% 14.60/4.45 | (c_in @ X1 @ (c_Message_Oparts @ X0) @ tc_Message_Omsg))),
% 14.60/4.45 inference('s_sup-', [status(thm)], [zip_derived_cl7, zip_derived_cl5])).
% 14.60/4.45 thf(zip_derived_cl7107, plain,
% 14.60/4.45 ( (c_in @
% 14.60/4.45 (c_Message_Omsg_OMPair @ (c_Message_Omsg_OAgent @ v_Aa) @
% 14.60/4.45 (c_Message_Omsg_OMPair @ (c_Message_Omsg_OAgent @ v_B) @ v_X)) @
% 14.60/4.45 (c_Message_Oparts @
% 14.60/4.45 (c_Message_Oanalz @ (c_Event_Oknows @ c_Message_Oagent_OSpy @ v_evs2))) @
% 14.60/4.45 tc_Message_Omsg)),
% 14.60/4.45 inference('s_sup-', [status(thm)],
% 14.60/4.45 [zip_derived_cl6620, zip_derived_cl116])).
% 14.60/4.45 thf(cls_Message_Oparts__analz_0, axiom,
% 14.60/4.45 (( c_Message_Oparts @ ( c_Message_Oanalz @ V_H ) ) =
% 14.60/4.45 ( c_Message_Oparts @ V_H ))).
% 14.60/4.45 thf(zip_derived_cl9, plain,
% 14.60/4.45 (![X0 : $i]:
% 14.60/4.45 ((c_Message_Oparts @ (c_Message_Oanalz @ X0))
% 14.60/4.45 = (c_Message_Oparts @ X0))),
% 14.60/4.45 inference('cnf', [status(esa)], [cls_Message_Oparts__analz_0])).
% 14.60/4.45 thf(zip_derived_cl7128, plain,
% 14.60/4.45 ( (c_in @
% 14.60/4.45 (c_Message_Omsg_OMPair @ (c_Message_Omsg_OAgent @ v_Aa) @
% 14.60/4.45 (c_Message_Omsg_OMPair @ (c_Message_Omsg_OAgent @ v_B) @ v_X)) @
% 14.60/4.45 (c_Message_Oparts @ (c_Event_Oknows @ c_Message_Oagent_OSpy @ v_evs2)) @
% 14.60/4.45 tc_Message_Omsg)),
% 14.60/4.45 inference('demod', [status(thm)], [zip_derived_cl7107, zip_derived_cl9])).
% 14.60/4.45 thf(zip_derived_cl5, plain,
% 14.60/4.45 (![X0 : $i, X1 : $i, X2 : $i]:
% 14.60/4.45 (~ (c_in @ (c_Message_Omsg_OMPair @ X0 @ X1) @
% 14.60/4.45 (c_Message_Oparts @ X2) @ tc_Message_Omsg)
% 14.60/4.45 | (c_in @ X1 @ (c_Message_Oparts @ X2) @ tc_Message_Omsg))),
% 14.60/4.45 inference('cnf', [status(esa)], [cls_Message_OMPair__parts_0])).
% 14.60/4.45 thf(zip_derived_cl9520, plain,
% 14.60/4.45 ( (c_in @
% 14.60/4.45 (c_Message_Omsg_OMPair @ (c_Message_Omsg_OAgent @ v_B) @ v_X) @
% 14.60/4.45 (c_Message_Oparts @ (c_Event_Oknows @ c_Message_Oagent_OSpy @ v_evs2)) @
% 14.60/4.45 tc_Message_Omsg)),
% 14.60/4.45 inference('s_sup-', [status(thm)], [zip_derived_cl7128, zip_derived_cl5])).
% 14.60/4.45 thf(zip_derived_cl116, plain,
% 14.60/4.45 (![X0 : $i, X1 : $i, X2 : $i]:
% 14.60/4.45 (~ (c_in @ (c_Message_Omsg_OMPair @ X2 @ X1) @ X0 @ tc_Message_Omsg)
% 14.60/4.45 | (c_in @ X1 @ (c_Message_Oparts @ X0) @ tc_Message_Omsg))),
% 14.60/4.45 inference('s_sup-', [status(thm)], [zip_derived_cl7, zip_derived_cl5])).
% 14.60/4.45 thf(zip_derived_cl9755, plain,
% 14.60/4.45 ( (c_in @ v_X @
% 14.60/4.45 (c_Message_Oparts @
% 14.60/4.45 (c_Message_Oparts @ (c_Event_Oknows @ c_Message_Oagent_OSpy @ v_evs2))) @
% 14.60/4.45 tc_Message_Omsg)),
% 14.60/4.45 inference('s_sup-', [status(thm)],
% 14.60/4.45 [zip_derived_cl9520, zip_derived_cl116])).
% 14.60/4.45 thf(cls_Message_Oparts__idem_0, axiom,
% 14.60/4.45 (( c_Message_Oparts @ ( c_Message_Oparts @ V_H ) ) =
% 14.60/4.45 ( c_Message_Oparts @ V_H ))).
% 14.60/4.45 thf(zip_derived_cl11, plain,
% 14.60/4.45 (![X0 : $i]:
% 14.60/4.45 ((c_Message_Oparts @ (c_Message_Oparts @ X0))
% 14.60/4.45 = (c_Message_Oparts @ X0))),
% 14.60/4.45 inference('cnf', [status(esa)], [cls_Message_Oparts__idem_0])).
% 14.60/4.45 thf(cls_Message_Oparts__insert__MPair_0, axiom,
% 14.60/4.45 (( c_Message_Oparts @
% 14.60/4.45 ( c_insert @
% 14.60/4.45 ( c_Message_Omsg_OMPair @ V_X @ V_Y ) @ V_H @ tc_Message_Omsg ) ) =
% 14.60/4.45 ( c_insert @
% 14.60/4.45 ( c_Message_Omsg_OMPair @ V_X @ V_Y ) @
% 14.60/4.45 ( c_Message_Oparts @
% 14.60/4.45 ( c_insert @
% 14.60/4.45 V_X @ ( c_insert @ V_Y @ V_H @ tc_Message_Omsg ) @ tc_Message_Omsg ) ) @
% 14.60/4.45 tc_Message_Omsg ))).
% 14.60/4.45 thf(zip_derived_cl14, plain,
% 14.60/4.45 (![X0 : $i, X1 : $i, X2 : $i]:
% 14.60/4.45 ((c_Message_Oparts @
% 14.60/4.45 (c_insert @ (c_Message_Omsg_OMPair @ X0 @ X1) @ X2 @ tc_Message_Omsg))
% 14.60/4.45 = (c_insert @ (c_Message_Omsg_OMPair @ X0 @ X1) @
% 14.60/4.45 (c_Message_Oparts @
% 14.60/4.45 (c_insert @ X0 @ (c_insert @ X1 @ X2 @ tc_Message_Omsg) @
% 14.60/4.45 tc_Message_Omsg)) @
% 14.60/4.45 tc_Message_Omsg))),
% 14.60/4.45 inference('cnf', [status(esa)], [cls_Message_Oparts__insert__MPair_0])).
% 14.60/4.45 thf(cls_Set_Oinsert__iff_2, axiom,
% 14.60/4.45 (( ~( c_in @ V_a @ V_A @ T_a ) ) |
% 14.60/4.45 ( c_in @ V_a @ ( c_insert @ V_b @ V_A @ T_a ) @ T_a ))).
% 14.60/4.45 thf(zip_derived_cl30, plain,
% 14.60/4.45 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 14.60/4.45 (~ (c_in @ X0 @ X1 @ X2)
% 14.60/4.45 | (c_in @ X0 @ (c_insert @ X3 @ X1 @ X2) @ X2))),
% 14.60/4.45 inference('cnf', [status(esa)], [cls_Set_Oinsert__iff_2])).
% 14.60/4.45 thf(zip_derived_cl224, plain,
% 14.60/4.45 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 14.60/4.45 (~ (c_in @ X3 @
% 14.60/4.45 (c_Message_Oparts @
% 14.60/4.45 (c_insert @ X2 @ (c_insert @ X1 @ X0 @ tc_Message_Omsg) @
% 14.60/4.45 tc_Message_Omsg)) @
% 14.60/4.45 tc_Message_Omsg)
% 14.60/4.45 | (c_in @ X3 @
% 14.60/4.45 (c_Message_Oparts @
% 14.60/4.45 (c_insert @ (c_Message_Omsg_OMPair @ X2 @ X1) @ X0 @
% 14.60/4.45 tc_Message_Omsg)) @
% 14.60/4.45 tc_Message_Omsg))),
% 14.60/4.45 inference('s_sup+', [status(thm)], [zip_derived_cl14, zip_derived_cl30])).
% 14.60/4.45 thf(zip_derived_cl224, plain,
% 14.60/4.45 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 14.60/4.45 (~ (c_in @ X3 @
% 14.60/4.45 (c_Message_Oparts @
% 14.60/4.45 (c_insert @ X2 @ (c_insert @ X1 @ X0 @ tc_Message_Omsg) @
% 14.60/4.45 tc_Message_Omsg)) @
% 14.60/4.45 tc_Message_Omsg)
% 14.60/4.45 | (c_in @ X3 @
% 14.60/4.45 (c_Message_Oparts @
% 14.60/4.45 (c_insert @ (c_Message_Omsg_OMPair @ X2 @ X1) @ X0 @
% 14.60/4.45 tc_Message_Omsg)) @
% 14.60/4.45 tc_Message_Omsg))),
% 14.60/4.45 inference('s_sup+', [status(thm)], [zip_derived_cl14, zip_derived_cl30])).
% 14.60/4.45 thf(zip_derived_cl224, plain,
% 14.60/4.45 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 14.60/4.45 (~ (c_in @ X3 @
% 14.60/4.45 (c_Message_Oparts @
% 14.60/4.45 (c_insert @ X2 @ (c_insert @ X1 @ X0 @ tc_Message_Omsg) @
% 14.60/4.45 tc_Message_Omsg)) @
% 14.60/4.45 tc_Message_Omsg)
% 14.60/4.45 | (c_in @ X3 @
% 14.60/4.45 (c_Message_Oparts @
% 14.60/4.45 (c_insert @ (c_Message_Omsg_OMPair @ X2 @ X1) @ X0 @
% 14.60/4.45 tc_Message_Omsg)) @
% 14.60/4.45 tc_Message_Omsg))),
% 14.60/4.45 inference('s_sup+', [status(thm)], [zip_derived_cl14, zip_derived_cl30])).
% 14.60/4.45 thf(cls_Message_Oparts__insert__Crypt_0, axiom,
% 14.60/4.45 (( c_Message_Oparts @
% 14.60/4.45 ( c_insert @
% 14.60/4.45 ( c_Message_Omsg_OCrypt @ V_K @ V_X ) @ V_H @ tc_Message_Omsg ) ) =
% 14.60/4.45 ( c_insert @
% 14.60/4.45 ( c_Message_Omsg_OCrypt @ V_K @ V_X ) @
% 14.60/4.45 ( c_Message_Oparts @ ( c_insert @ V_X @ V_H @ tc_Message_Omsg ) ) @
% 14.60/4.45 tc_Message_Omsg ))).
% 14.60/4.45 thf(zip_derived_cl13, plain,
% 14.60/4.45 (![X0 : $i, X1 : $i, X2 : $i]:
% 14.60/4.45 ((c_Message_Oparts @
% 14.60/4.45 (c_insert @ (c_Message_Omsg_OCrypt @ X0 @ X1) @ X2 @ tc_Message_Omsg))
% 14.60/4.45 = (c_insert @ (c_Message_Omsg_OCrypt @ X0 @ X1) @
% 14.60/4.45 (c_Message_Oparts @ (c_insert @ X1 @ X2 @ tc_Message_Omsg)) @
% 14.60/4.45 tc_Message_Omsg))),
% 14.60/4.45 inference('cnf', [status(esa)], [cls_Message_Oparts__insert__Crypt_0])).
% 14.60/4.45 thf(zip_derived_cl30, plain,
% 14.60/4.45 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 14.60/4.45 (~ (c_in @ X0 @ X1 @ X2)
% 14.60/4.45 | (c_in @ X0 @ (c_insert @ X3 @ X1 @ X2) @ X2))),
% 14.60/4.45 inference('cnf', [status(esa)], [cls_Set_Oinsert__iff_2])).
% 14.60/4.45 thf(zip_derived_cl225, plain,
% 14.60/4.45 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 14.60/4.45 (~ (c_in @ X3 @
% 14.60/4.45 (c_Message_Oparts @ (c_insert @ X1 @ X0 @ tc_Message_Omsg)) @
% 14.60/4.45 tc_Message_Omsg)
% 14.60/4.45 | (c_in @ X3 @
% 14.60/4.45 (c_Message_Oparts @
% 14.60/4.45 (c_insert @ (c_Message_Omsg_OCrypt @ X2 @ X1) @ X0 @
% 14.60/4.45 tc_Message_Omsg)) @
% 14.60/4.45 tc_Message_Omsg))),
% 14.60/4.45 inference('s_sup+', [status(thm)], [zip_derived_cl13, zip_derived_cl30])).
% 14.60/4.45 thf(cls_Message_Oparts__cut__eq_0, axiom,
% 14.60/4.45 (( ~( c_in @ V_X @ ( c_Message_Oparts @ V_H ) @ tc_Message_Omsg ) ) |
% 14.60/4.45 ( ( c_Message_Oparts @ ( c_insert @ V_X @ V_H @ tc_Message_Omsg ) ) =
% 14.60/4.45 ( c_Message_Oparts @ V_H ) ))).
% 14.60/4.45 thf(zip_derived_cl10, plain,
% 14.60/4.45 (![X0 : $i, X1 : $i]:
% 14.60/4.45 (~ (c_in @ X0 @ (c_Message_Oparts @ X1) @ tc_Message_Omsg)
% 14.60/4.45 | ((c_Message_Oparts @ (c_insert @ X0 @ X1 @ tc_Message_Omsg))
% 14.60/4.45 = (c_Message_Oparts @ X1)))),
% 14.60/4.45 inference('cnf', [status(esa)], [cls_Message_Oparts__cut__eq_0])).
% 14.60/4.45 thf(cls_conjecture_5, conjecture,
% 14.60/4.45 (~( ( ~( c_in @
% 14.60/4.45 ( c_Message_Omsg_OKey @ ( c_Public_OshrK @ v_A ) ) @
% 14.60/4.45 ( c_Message_Oparts @
% 14.60/4.45 ( c_insert @
% 14.60/4.45 v_X @
% 14.60/4.45 ( c_insert @
% 14.60/4.45 ( c_Message_Omsg_OCrypt @
% 14.60/4.45 ( c_Public_OshrK @ v_B ) @
% 14.60/4.45 ( c_Message_Omsg_OMPair @
% 14.60/4.45 ( c_Message_Omsg_ONonce @ v_NA ) @
% 14.60/4.45 ( c_Message_Omsg_OMPair @
% 14.60/4.45 ( c_Message_Omsg_ONonce @ v_NB ) @
% 14.60/4.45 ( c_Message_Omsg_OMPair @
% 14.60/4.45 ( c_Message_Omsg_OAgent @ v_Aa ) @
% 14.60/4.45 ( c_Message_Omsg_OAgent @ v_B ) ) ) ) ) @
% 14.60/4.45 ( c_Event_Oknows @ c_Message_Oagent_OSpy @ v_evs2 ) @
% 14.60/4.45 tc_Message_Omsg ) @
% 14.60/4.45 tc_Message_Omsg ) ) @
% 14.60/4.45 tc_Message_Omsg ) ) |
% 14.60/4.45 ( ~( c_in @ v_A @ c_Event_Obad @ tc_Message_Oagent ) ) ))).
% 14.60/4.45 thf(zf_stmt_2, negated_conjecture,
% 14.60/4.45 (( ~( c_in @
% 14.60/4.45 ( c_Message_Omsg_OKey @ ( c_Public_OshrK @ v_A ) ) @
% 14.60/4.45 ( c_Message_Oparts @
% 14.60/4.45 ( c_insert @
% 14.60/4.45 v_X @
% 14.60/4.45 ( c_insert @
% 14.60/4.45 ( c_Message_Omsg_OCrypt @
% 14.60/4.45 ( c_Public_OshrK @ v_B ) @
% 14.60/4.45 ( c_Message_Omsg_OMPair @
% 14.60/4.45 ( c_Message_Omsg_ONonce @ v_NA ) @
% 14.60/4.45 ( c_Message_Omsg_OMPair @
% 14.60/4.45 ( c_Message_Omsg_ONonce @ v_NB ) @
% 14.60/4.45 ( c_Message_Omsg_OMPair @
% 14.60/4.45 ( c_Message_Omsg_OAgent @ v_Aa ) @
% 14.60/4.45 ( c_Message_Omsg_OAgent @ v_B ) ) ) ) ) @
% 14.60/4.45 ( c_Event_Oknows @ c_Message_Oagent_OSpy @ v_evs2 ) @
% 14.60/4.45 tc_Message_Omsg ) @
% 14.60/4.45 tc_Message_Omsg ) ) @
% 14.60/4.45 tc_Message_Omsg ) ) |
% 14.60/4.45 ( ~( c_in @ v_A @ c_Event_Obad @ tc_Message_Oagent ) )),
% 14.60/4.45 inference('cnf.neg', [status(esa)], [cls_conjecture_5])).
% 14.60/4.45 thf(zip_derived_cl35, plain,
% 14.60/4.45 ((~ (c_in @ (c_Message_Omsg_OKey @ (c_Public_OshrK @ v_A)) @
% 14.60/4.45 (c_Message_Oparts @
% 14.60/4.45 (c_insert @ v_X @
% 14.60/4.45 (c_insert @
% 14.60/4.45 (c_Message_Omsg_OCrypt @ (c_Public_OshrK @ v_B) @
% 14.60/4.45 (c_Message_Omsg_OMPair @ (c_Message_Omsg_ONonce @ v_NA) @
% 14.60/4.45 (c_Message_Omsg_OMPair @ (c_Message_Omsg_ONonce @ v_NB) @
% 14.60/4.45 (c_Message_Omsg_OMPair @ (c_Message_Omsg_OAgent @ v_Aa) @
% 14.60/4.45 (c_Message_Omsg_OAgent @ v_B))))) @
% 14.60/4.45 (c_Event_Oknows @ c_Message_Oagent_OSpy @ v_evs2) @
% 14.60/4.45 tc_Message_Omsg) @
% 14.60/4.45 tc_Message_Omsg)) @
% 14.60/4.45 tc_Message_Omsg)
% 14.60/4.45 | ~ (c_in @ v_A @ c_Event_Obad @ tc_Message_Oagent))),
% 14.60/4.45 inference('cnf', [status(esa)], [zf_stmt_2])).
% 14.60/4.45 thf(zip_derived_cl39, plain,
% 14.60/4.45 ((~ (c_in @ (c_Message_Omsg_OKey @ (c_Public_OshrK @ v_A)) @
% 14.60/4.45 (c_Message_Oparts @
% 14.60/4.45 (c_insert @ v_X @
% 14.60/4.45 (c_insert @
% 14.60/4.45 (c_Message_Omsg_OCrypt @ (c_Public_OshrK @ v_B) @
% 14.60/4.45 (c_Message_Omsg_OMPair @ (c_Message_Omsg_ONonce @ v_NA) @
% 14.60/4.45 (c_Message_Omsg_OMPair @ (c_Message_Omsg_ONonce @ v_NB) @
% 14.60/4.45 (c_Message_Omsg_OMPair @ (c_Message_Omsg_OAgent @ v_Aa) @
% 14.60/4.45 (c_Message_Omsg_OAgent @ v_B))))) @
% 14.60/4.45 (c_Event_Oknows @ c_Message_Oagent_OSpy @ v_evs2) @
% 14.60/4.45 tc_Message_Omsg) @
% 14.60/4.45 tc_Message_Omsg)) @
% 14.60/4.45 tc_Message_Omsg))
% 14.60/4.45 <= (~
% 14.60/4.45 ( (c_in @ (c_Message_Omsg_OKey @ (c_Public_OshrK @ v_A)) @
% 14.60/4.45 (c_Message_Oparts @
% 14.60/4.45 (c_insert @ v_X @
% 14.60/4.45 (c_insert @
% 14.60/4.45 (c_Message_Omsg_OCrypt @ (c_Public_OshrK @ v_B) @
% 14.60/4.45 (c_Message_Omsg_OMPair @ (c_Message_Omsg_ONonce @ v_NA) @
% 14.60/4.45 (c_Message_Omsg_OMPair @ (c_Message_Omsg_ONonce @ v_NB) @
% 14.60/4.45 (c_Message_Omsg_OMPair @
% 14.60/4.45 (c_Message_Omsg_OAgent @ v_Aa) @
% 14.60/4.45 (c_Message_Omsg_OAgent @ v_B))))) @
% 14.60/4.45 (c_Event_Oknows @ c_Message_Oagent_OSpy @ v_evs2) @
% 14.60/4.45 tc_Message_Omsg) @
% 14.60/4.45 tc_Message_Omsg)) @
% 14.60/4.45 tc_Message_Omsg)))),
% 14.60/4.45 inference('split', [status(esa)], [zip_derived_cl35])).
% 14.60/4.45 thf(zip_derived_cl137, plain,
% 14.60/4.45 (((~ (c_in @ v_X @
% 14.60/4.45 (c_Message_Oparts @
% 14.60/4.45 (c_insert @
% 14.60/4.45 (c_Message_Omsg_OCrypt @ (c_Public_OshrK @ v_B) @
% 14.60/4.45 (c_Message_Omsg_OMPair @ (c_Message_Omsg_ONonce @ v_NA) @
% 14.60/4.45 (c_Message_Omsg_OMPair @ (c_Message_Omsg_ONonce @ v_NB) @
% 14.60/4.45 (c_Message_Omsg_OMPair @ (c_Message_Omsg_OAgent @ v_Aa) @
% 14.60/4.45 (c_Message_Omsg_OAgent @ v_B))))) @
% 14.60/4.45 (c_Event_Oknows @ c_Message_Oagent_OSpy @ v_evs2) @
% 14.60/4.45 tc_Message_Omsg)) @
% 14.60/4.45 tc_Message_Omsg)
% 14.60/4.45 | ~ (c_in @ (c_Message_Omsg_OKey @ (c_Public_OshrK @ v_A)) @
% 14.60/4.45 (c_Message_Oparts @
% 14.60/4.45 (c_insert @
% 14.60/4.45 (c_Message_Omsg_OCrypt @ (c_Public_OshrK @ v_B) @
% 14.60/4.45 (c_Message_Omsg_OMPair @ (c_Message_Omsg_ONonce @ v_NA) @
% 14.60/4.45 (c_Message_Omsg_OMPair @ (c_Message_Omsg_ONonce @ v_NB) @
% 14.60/4.45 (c_Message_Omsg_OMPair @ (c_Message_Omsg_OAgent @ v_Aa) @
% 14.60/4.45 (c_Message_Omsg_OAgent @ v_B))))) @
% 14.60/4.45 (c_Event_Oknows @ c_Message_Oagent_OSpy @ v_evs2) @
% 14.60/4.45 tc_Message_Omsg)) @
% 14.60/4.45 tc_Message_Omsg)))
% 14.60/4.45 <= (~
% 14.60/4.45 ( (c_in @ (c_Message_Omsg_OKey @ (c_Public_OshrK @ v_A)) @
% 14.60/4.45 (c_Message_Oparts @
% 14.60/4.45 (c_insert @ v_X @
% 14.60/4.45 (c_insert @
% 14.60/4.45 (c_Message_Omsg_OCrypt @ (c_Public_OshrK @ v_B) @
% 14.60/4.45 (c_Message_Omsg_OMPair @ (c_Message_Omsg_ONonce @ v_NA) @
% 14.60/4.45 (c_Message_Omsg_OMPair @ (c_Message_Omsg_ONonce @ v_NB) @
% 14.60/4.45 (c_Message_Omsg_OMPair @
% 14.60/4.45 (c_Message_Omsg_OAgent @ v_Aa) @
% 14.60/4.45 (c_Message_Omsg_OAgent @ v_B))))) @
% 14.60/4.45 (c_Event_Oknows @ c_Message_Oagent_OSpy @ v_evs2) @
% 14.60/4.45 tc_Message_Omsg) @
% 14.60/4.45 tc_Message_Omsg)) @
% 14.60/4.45 tc_Message_Omsg)))),
% 14.60/4.45 inference('s_sup-', [status(thm)], [zip_derived_cl10, zip_derived_cl39])).
% 14.60/4.45 thf(zip_derived_cl149, plain,
% 14.60/4.45 ((~ (c_in @ v_X @
% 14.60/4.45 (c_Message_Oparts @
% 14.60/4.45 (c_insert @
% 14.60/4.45 (c_Message_Omsg_OCrypt @ (c_Public_OshrK @ v_B) @
% 14.60/4.45 (c_Message_Omsg_OMPair @ (c_Message_Omsg_ONonce @ v_NA) @
% 14.60/4.45 (c_Message_Omsg_OMPair @ (c_Message_Omsg_ONonce @ v_NB) @
% 14.60/4.45 (c_Message_Omsg_OMPair @ (c_Message_Omsg_OAgent @ v_Aa) @
% 14.60/4.45 (c_Message_Omsg_OAgent @ v_B))))) @
% 14.60/4.45 (c_Event_Oknows @ c_Message_Oagent_OSpy @ v_evs2) @
% 14.60/4.45 tc_Message_Omsg)) @
% 14.60/4.45 tc_Message_Omsg))
% 14.60/4.45 <= (~
% 14.60/4.45 ( (c_in @ v_X @
% 14.60/4.45 (c_Message_Oparts @
% 14.60/4.45 (c_insert @
% 14.60/4.45 (c_Message_Omsg_OCrypt @ (c_Public_OshrK @ v_B) @
% 14.60/4.45 (c_Message_Omsg_OMPair @ (c_Message_Omsg_ONonce @ v_NA) @
% 14.60/4.45 (c_Message_Omsg_OMPair @ (c_Message_Omsg_ONonce @ v_NB) @
% 14.60/4.45 (c_Message_Omsg_OMPair @ (c_Message_Omsg_OAgent @ v_Aa) @
% 14.60/4.45 (c_Message_Omsg_OAgent @ v_B))))) @
% 14.60/4.45 (c_Event_Oknows @ c_Message_Oagent_OSpy @ v_evs2) @
% 14.60/4.45 tc_Message_Omsg)) @
% 14.60/4.45 tc_Message_Omsg)))),
% 14.60/4.45 inference('split', [status(esa)], [zip_derived_cl137])).
% 14.60/4.45 thf(zip_derived_cl6568, plain,
% 14.60/4.45 ((~ (c_in @ v_X @
% 14.60/4.45 (c_Message_Oparts @
% 14.60/4.45 (c_insert @
% 14.60/4.45 (c_Message_Omsg_OMPair @ (c_Message_Omsg_ONonce @ v_NA) @
% 14.60/4.45 (c_Message_Omsg_OMPair @ (c_Message_Omsg_ONonce @ v_NB) @
% 14.60/4.45 (c_Message_Omsg_OMPair @ (c_Message_Omsg_OAgent @ v_Aa) @
% 14.60/4.45 (c_Message_Omsg_OAgent @ v_B)))) @
% 14.60/4.45 (c_Event_Oknows @ c_Message_Oagent_OSpy @ v_evs2) @
% 14.60/4.45 tc_Message_Omsg)) @
% 14.60/4.45 tc_Message_Omsg))
% 14.60/4.45 <= (~
% 14.60/4.45 ( (c_in @ v_X @
% 14.60/4.45 (c_Message_Oparts @
% 14.60/4.45 (c_insert @
% 14.60/4.45 (c_Message_Omsg_OCrypt @ (c_Public_OshrK @ v_B) @
% 14.60/4.45 (c_Message_Omsg_OMPair @ (c_Message_Omsg_ONonce @ v_NA) @
% 14.60/4.45 (c_Message_Omsg_OMPair @ (c_Message_Omsg_ONonce @ v_NB) @
% 14.60/4.45 (c_Message_Omsg_OMPair @ (c_Message_Omsg_OAgent @ v_Aa) @
% 14.60/4.45 (c_Message_Omsg_OAgent @ v_B))))) @
% 14.60/4.45 (c_Event_Oknows @ c_Message_Oagent_OSpy @ v_evs2) @
% 14.60/4.45 tc_Message_Omsg)) @
% 14.60/4.45 tc_Message_Omsg)))),
% 14.60/4.45 inference('s_sup-', [status(thm)], [zip_derived_cl225, zip_derived_cl149])).
% 14.60/4.45 thf(zip_derived_cl6625, plain,
% 14.60/4.45 ((~ (c_in @ v_X @
% 14.60/4.45 (c_Message_Oparts @
% 14.60/4.45 (c_insert @ (c_Message_Omsg_ONonce @ v_NA) @
% 14.60/4.45 (c_insert @
% 14.60/4.45 (c_Message_Omsg_OMPair @ (c_Message_Omsg_ONonce @ v_NB) @
% 14.60/4.45 (c_Message_Omsg_OMPair @ (c_Message_Omsg_OAgent @ v_Aa) @
% 14.60/4.45 (c_Message_Omsg_OAgent @ v_B))) @
% 14.60/4.45 (c_Event_Oknows @ c_Message_Oagent_OSpy @ v_evs2) @
% 14.60/4.45 tc_Message_Omsg) @
% 14.60/4.45 tc_Message_Omsg)) @
% 14.60/4.45 tc_Message_Omsg))
% 14.60/4.45 <= (~
% 14.60/4.45 ( (c_in @ v_X @
% 14.60/4.45 (c_Message_Oparts @
% 14.60/4.45 (c_insert @
% 14.60/4.45 (c_Message_Omsg_OCrypt @ (c_Public_OshrK @ v_B) @
% 14.60/4.45 (c_Message_Omsg_OMPair @ (c_Message_Omsg_ONonce @ v_NA) @
% 14.60/4.45 (c_Message_Omsg_OMPair @ (c_Message_Omsg_ONonce @ v_NB) @
% 14.60/4.45 (c_Message_Omsg_OMPair @ (c_Message_Omsg_OAgent @ v_Aa) @
% 14.60/4.45 (c_Message_Omsg_OAgent @ v_B))))) @
% 14.60/4.45 (c_Event_Oknows @ c_Message_Oagent_OSpy @ v_evs2) @
% 14.60/4.45 tc_Message_Omsg)) @
% 14.60/4.45 tc_Message_Omsg)))),
% 14.60/4.45 inference('s_sup-', [status(thm)],
% 14.60/4.45 [zip_derived_cl224, zip_derived_cl6568])).
% 14.60/4.45 thf(cls_Message_Oparts__insert__Nonce_0, axiom,
% 14.60/4.45 (( c_Message_Oparts @
% 14.60/4.45 ( c_insert @ ( c_Message_Omsg_ONonce @ V_N ) @ V_H @ tc_Message_Omsg ) ) =
% 14.60/4.45 ( c_insert @
% 14.60/4.45 ( c_Message_Omsg_ONonce @ V_N ) @ ( c_Message_Oparts @ V_H ) @
% 14.60/4.45 tc_Message_Omsg ))).
% 14.60/4.45 thf(zip_derived_cl15, plain,
% 14.60/4.45 (![X0 : $i, X1 : $i]:
% 14.60/4.45 ((c_Message_Oparts @
% 14.60/4.45 (c_insert @ (c_Message_Omsg_ONonce @ X0) @ X1 @ tc_Message_Omsg))
% 14.60/4.45 = (c_insert @ (c_Message_Omsg_ONonce @ X0) @
% 14.60/4.45 (c_Message_Oparts @ X1) @ tc_Message_Omsg))),
% 14.60/4.45 inference('cnf', [status(esa)], [cls_Message_Oparts__insert__Nonce_0])).
% 14.60/4.45 thf(zip_derived_cl6627, plain,
% 14.60/4.45 ((~ (c_in @ v_X @
% 14.60/4.45 (c_insert @ (c_Message_Omsg_ONonce @ v_NA) @
% 14.60/4.45 (c_Message_Oparts @
% 14.60/4.45 (c_insert @
% 14.60/4.45 (c_Message_Omsg_OMPair @ (c_Message_Omsg_ONonce @ v_NB) @
% 14.60/4.45 (c_Message_Omsg_OMPair @ (c_Message_Omsg_OAgent @ v_Aa) @
% 14.60/4.45 (c_Message_Omsg_OAgent @ v_B))) @
% 14.60/4.45 (c_Event_Oknows @ c_Message_Oagent_OSpy @ v_evs2) @
% 14.60/4.45 tc_Message_Omsg)) @
% 14.60/4.45 tc_Message_Omsg) @
% 14.60/4.45 tc_Message_Omsg))
% 14.60/4.45 <= (~
% 14.60/4.45 ( (c_in @ v_X @
% 14.60/4.45 (c_Message_Oparts @
% 14.60/4.45 (c_insert @
% 14.60/4.45 (c_Message_Omsg_OCrypt @ (c_Public_OshrK @ v_B) @
% 14.60/4.45 (c_Message_Omsg_OMPair @ (c_Message_Omsg_ONonce @ v_NA) @
% 14.60/4.45 (c_Message_Omsg_OMPair @ (c_Message_Omsg_ONonce @ v_NB) @
% 14.60/4.45 (c_Message_Omsg_OMPair @ (c_Message_Omsg_OAgent @ v_Aa) @
% 14.60/4.45 (c_Message_Omsg_OAgent @ v_B))))) @
% 14.60/4.45 (c_Event_Oknows @ c_Message_Oagent_OSpy @ v_evs2) @
% 14.60/4.45 tc_Message_Omsg)) @
% 14.60/4.45 tc_Message_Omsg)))),
% 14.60/4.45 inference('demod', [status(thm)], [zip_derived_cl6625, zip_derived_cl15])).
% 14.60/4.45 thf(zip_derived_cl30, plain,
% 14.60/4.45 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 14.60/4.45 (~ (c_in @ X0 @ X1 @ X2)
% 14.60/4.45 | (c_in @ X0 @ (c_insert @ X3 @ X1 @ X2) @ X2))),
% 14.60/4.45 inference('cnf', [status(esa)], [cls_Set_Oinsert__iff_2])).
% 14.60/4.45 thf(zip_derived_cl6632, plain,
% 14.60/4.45 ((~ (c_in @ v_X @
% 14.60/4.45 (c_Message_Oparts @
% 14.60/4.45 (c_insert @
% 14.60/4.45 (c_Message_Omsg_OMPair @ (c_Message_Omsg_ONonce @ v_NB) @
% 14.60/4.45 (c_Message_Omsg_OMPair @ (c_Message_Omsg_OAgent @ v_Aa) @
% 14.60/4.45 (c_Message_Omsg_OAgent @ v_B))) @
% 14.60/4.45 (c_Event_Oknows @ c_Message_Oagent_OSpy @ v_evs2) @
% 14.60/4.45 tc_Message_Omsg)) @
% 14.60/4.45 tc_Message_Omsg))
% 14.60/4.45 <= (~
% 14.60/4.45 ( (c_in @ v_X @
% 14.60/4.45 (c_Message_Oparts @
% 14.60/4.45 (c_insert @
% 14.60/4.45 (c_Message_Omsg_OCrypt @ (c_Public_OshrK @ v_B) @
% 14.60/4.45 (c_Message_Omsg_OMPair @ (c_Message_Omsg_ONonce @ v_NA) @
% 14.60/4.45 (c_Message_Omsg_OMPair @ (c_Message_Omsg_ONonce @ v_NB) @
% 14.60/4.45 (c_Message_Omsg_OMPair @ (c_Message_Omsg_OAgent @ v_Aa) @
% 14.60/4.45 (c_Message_Omsg_OAgent @ v_B))))) @
% 14.60/4.45 (c_Event_Oknows @ c_Message_Oagent_OSpy @ v_evs2) @
% 14.60/4.45 tc_Message_Omsg)) @
% 14.60/4.45 tc_Message_Omsg)))),
% 14.60/4.45 inference('s_sup+', [status(thm)], [zip_derived_cl6627, zip_derived_cl30])).
% 14.60/4.45 thf(zip_derived_cl6641, plain,
% 14.60/4.45 ((~ (c_in @ v_X @
% 14.60/4.45 (c_Message_Oparts @
% 14.60/4.45 (c_insert @ (c_Message_Omsg_ONonce @ v_NB) @
% 14.60/4.45 (c_insert @
% 14.60/4.45 (c_Message_Omsg_OMPair @ (c_Message_Omsg_OAgent @ v_Aa) @
% 14.60/4.45 (c_Message_Omsg_OAgent @ v_B)) @
% 14.60/4.45 (c_Event_Oknows @ c_Message_Oagent_OSpy @ v_evs2) @
% 14.60/4.45 tc_Message_Omsg) @
% 14.60/4.45 tc_Message_Omsg)) @
% 14.60/4.45 tc_Message_Omsg))
% 14.60/4.45 <= (~
% 14.60/4.45 ( (c_in @ v_X @
% 14.60/4.45 (c_Message_Oparts @
% 14.60/4.45 (c_insert @
% 14.60/4.45 (c_Message_Omsg_OCrypt @ (c_Public_OshrK @ v_B) @
% 14.60/4.45 (c_Message_Omsg_OMPair @ (c_Message_Omsg_ONonce @ v_NA) @
% 14.60/4.45 (c_Message_Omsg_OMPair @ (c_Message_Omsg_ONonce @ v_NB) @
% 14.60/4.45 (c_Message_Omsg_OMPair @ (c_Message_Omsg_OAgent @ v_Aa) @
% 14.60/4.45 (c_Message_Omsg_OAgent @ v_B))))) @
% 14.60/4.45 (c_Event_Oknows @ c_Message_Oagent_OSpy @ v_evs2) @
% 14.60/4.45 tc_Message_Omsg)) @
% 14.60/4.45 tc_Message_Omsg)))),
% 14.60/4.45 inference('s_sup-', [status(thm)],
% 14.60/4.45 [zip_derived_cl224, zip_derived_cl6632])).
% 14.60/4.45 thf(zip_derived_cl15, plain,
% 14.60/4.45 (![X0 : $i, X1 : $i]:
% 14.60/4.45 ((c_Message_Oparts @
% 14.60/4.45 (c_insert @ (c_Message_Omsg_ONonce @ X0) @ X1 @ tc_Message_Omsg))
% 14.60/4.45 = (c_insert @ (c_Message_Omsg_ONonce @ X0) @
% 14.60/4.45 (c_Message_Oparts @ X1) @ tc_Message_Omsg))),
% 14.60/4.45 inference('cnf', [status(esa)], [cls_Message_Oparts__insert__Nonce_0])).
% 14.60/4.45 thf(zip_derived_cl6643, plain,
% 14.60/4.45 ((~ (c_in @ v_X @
% 14.60/4.45 (c_insert @ (c_Message_Omsg_ONonce @ v_NB) @
% 14.60/4.45 (c_Message_Oparts @
% 14.60/4.45 (c_insert @
% 14.60/4.45 (c_Message_Omsg_OMPair @ (c_Message_Omsg_OAgent @ v_Aa) @
% 14.60/4.45 (c_Message_Omsg_OAgent @ v_B)) @
% 14.60/4.45 (c_Event_Oknows @ c_Message_Oagent_OSpy @ v_evs2) @
% 14.60/4.45 tc_Message_Omsg)) @
% 14.60/4.45 tc_Message_Omsg) @
% 14.60/4.45 tc_Message_Omsg))
% 14.60/4.45 <= (~
% 14.60/4.45 ( (c_in @ v_X @
% 14.60/4.45 (c_Message_Oparts @
% 14.60/4.45 (c_insert @
% 14.60/4.45 (c_Message_Omsg_OCrypt @ (c_Public_OshrK @ v_B) @
% 14.60/4.45 (c_Message_Omsg_OMPair @ (c_Message_Omsg_ONonce @ v_NA) @
% 14.60/4.45 (c_Message_Omsg_OMPair @ (c_Message_Omsg_ONonce @ v_NB) @
% 14.60/4.45 (c_Message_Omsg_OMPair @ (c_Message_Omsg_OAgent @ v_Aa) @
% 14.60/4.45 (c_Message_Omsg_OAgent @ v_B))))) @
% 14.60/4.45 (c_Event_Oknows @ c_Message_Oagent_OSpy @ v_evs2) @
% 14.60/4.45 tc_Message_Omsg)) @
% 14.60/4.45 tc_Message_Omsg)))),
% 14.60/4.45 inference('demod', [status(thm)], [zip_derived_cl6641, zip_derived_cl15])).
% 14.60/4.45 thf(zip_derived_cl30, plain,
% 14.60/4.45 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 14.60/4.45 (~ (c_in @ X0 @ X1 @ X2)
% 14.60/4.45 | (c_in @ X0 @ (c_insert @ X3 @ X1 @ X2) @ X2))),
% 14.60/4.45 inference('cnf', [status(esa)], [cls_Set_Oinsert__iff_2])).
% 14.60/4.45 thf(zip_derived_cl6647, plain,
% 14.60/4.45 ((~ (c_in @ v_X @
% 14.60/4.45 (c_Message_Oparts @
% 14.60/4.45 (c_insert @
% 14.60/4.45 (c_Message_Omsg_OMPair @ (c_Message_Omsg_OAgent @ v_Aa) @
% 14.60/4.45 (c_Message_Omsg_OAgent @ v_B)) @
% 14.60/4.45 (c_Event_Oknows @ c_Message_Oagent_OSpy @ v_evs2) @
% 14.60/4.45 tc_Message_Omsg)) @
% 14.60/4.45 tc_Message_Omsg))
% 14.60/4.45 <= (~
% 14.60/4.45 ( (c_in @ v_X @
% 14.60/4.45 (c_Message_Oparts @
% 14.60/4.45 (c_insert @
% 14.60/4.45 (c_Message_Omsg_OCrypt @ (c_Public_OshrK @ v_B) @
% 14.60/4.45 (c_Message_Omsg_OMPair @ (c_Message_Omsg_ONonce @ v_NA) @
% 14.60/4.45 (c_Message_Omsg_OMPair @ (c_Message_Omsg_ONonce @ v_NB) @
% 14.60/4.45 (c_Message_Omsg_OMPair @ (c_Message_Omsg_OAgent @ v_Aa) @
% 14.60/4.45 (c_Message_Omsg_OAgent @ v_B))))) @
% 14.60/4.45 (c_Event_Oknows @ c_Message_Oagent_OSpy @ v_evs2) @
% 14.60/4.45 tc_Message_Omsg)) @
% 14.60/4.45 tc_Message_Omsg)))),
% 14.60/4.45 inference('s_sup+', [status(thm)], [zip_derived_cl6643, zip_derived_cl30])).
% 14.60/4.45 thf(zip_derived_cl6656, plain,
% 14.60/4.45 ((~ (c_in @ v_X @
% 14.60/4.45 (c_Message_Oparts @
% 14.60/4.45 (c_insert @ (c_Message_Omsg_OAgent @ v_Aa) @
% 14.60/4.45 (c_insert @ (c_Message_Omsg_OAgent @ v_B) @
% 14.60/4.45 (c_Event_Oknows @ c_Message_Oagent_OSpy @ v_evs2) @
% 14.60/4.45 tc_Message_Omsg) @
% 14.60/4.45 tc_Message_Omsg)) @
% 14.60/4.45 tc_Message_Omsg))
% 14.60/4.45 <= (~
% 14.60/4.45 ( (c_in @ v_X @
% 14.60/4.45 (c_Message_Oparts @
% 14.60/4.45 (c_insert @
% 14.60/4.45 (c_Message_Omsg_OCrypt @ (c_Public_OshrK @ v_B) @
% 14.60/4.45 (c_Message_Omsg_OMPair @ (c_Message_Omsg_ONonce @ v_NA) @
% 14.60/4.45 (c_Message_Omsg_OMPair @ (c_Message_Omsg_ONonce @ v_NB) @
% 14.60/4.45 (c_Message_Omsg_OMPair @ (c_Message_Omsg_OAgent @ v_Aa) @
% 14.60/4.45 (c_Message_Omsg_OAgent @ v_B))))) @
% 14.60/4.45 (c_Event_Oknows @ c_Message_Oagent_OSpy @ v_evs2) @
% 14.60/4.45 tc_Message_Omsg)) @
% 14.60/4.45 tc_Message_Omsg)))),
% 14.60/4.45 inference('s_sup-', [status(thm)],
% 14.60/4.45 [zip_derived_cl224, zip_derived_cl6647])).
% 14.60/4.45 thf(cls_Message_Oparts__insert__Agent_0, axiom,
% 14.60/4.45 (( c_Message_Oparts @
% 14.60/4.45 ( c_insert @ ( c_Message_Omsg_OAgent @ V_agt ) @ V_H @ tc_Message_Omsg ) ) =
% 14.60/4.45 ( c_insert @
% 14.60/4.45 ( c_Message_Omsg_OAgent @ V_agt ) @ ( c_Message_Oparts @ V_H ) @
% 14.60/4.45 tc_Message_Omsg ))).
% 14.60/4.45 thf(zip_derived_cl12, plain,
% 14.60/4.45 (![X0 : $i, X1 : $i]:
% 14.60/4.45 ((c_Message_Oparts @
% 14.60/4.45 (c_insert @ (c_Message_Omsg_OAgent @ X0) @ X1 @ tc_Message_Omsg))
% 14.60/4.45 = (c_insert @ (c_Message_Omsg_OAgent @ X0) @
% 14.60/4.45 (c_Message_Oparts @ X1) @ tc_Message_Omsg))),
% 14.60/4.45 inference('cnf', [status(esa)], [cls_Message_Oparts__insert__Agent_0])).
% 14.60/4.45 thf(zip_derived_cl12, plain,
% 14.60/4.45 (![X0 : $i, X1 : $i]:
% 14.60/4.45 ((c_Message_Oparts @
% 14.60/4.45 (c_insert @ (c_Message_Omsg_OAgent @ X0) @ X1 @ tc_Message_Omsg))
% 14.60/4.45 = (c_insert @ (c_Message_Omsg_OAgent @ X0) @
% 14.60/4.45 (c_Message_Oparts @ X1) @ tc_Message_Omsg))),
% 14.60/4.45 inference('cnf', [status(esa)], [cls_Message_Oparts__insert__Agent_0])).
% 14.60/4.45 thf(zip_derived_cl6658, plain,
% 14.60/4.45 ((~ (c_in @ v_X @
% 14.60/4.45 (c_insert @ (c_Message_Omsg_OAgent @ v_Aa) @
% 14.60/4.45 (c_insert @ (c_Message_Omsg_OAgent @ v_B) @
% 14.60/4.45 (c_Message_Oparts @
% 14.60/4.45 (c_Event_Oknows @ c_Message_Oagent_OSpy @ v_evs2)) @
% 14.60/4.45 tc_Message_Omsg) @
% 14.60/4.45 tc_Message_Omsg) @
% 14.60/4.45 tc_Message_Omsg))
% 14.60/4.45 <= (~
% 14.60/4.45 ( (c_in @ v_X @
% 14.60/4.45 (c_Message_Oparts @
% 14.60/4.45 (c_insert @
% 14.60/4.45 (c_Message_Omsg_OCrypt @ (c_Public_OshrK @ v_B) @
% 14.60/4.45 (c_Message_Omsg_OMPair @ (c_Message_Omsg_ONonce @ v_NA) @
% 14.60/4.45 (c_Message_Omsg_OMPair @ (c_Message_Omsg_ONonce @ v_NB) @
% 14.60/4.45 (c_Message_Omsg_OMPair @ (c_Message_Omsg_OAgent @ v_Aa) @
% 14.60/4.45 (c_Message_Omsg_OAgent @ v_B))))) @
% 14.60/4.45 (c_Event_Oknows @ c_Message_Oagent_OSpy @ v_evs2) @
% 14.60/4.45 tc_Message_Omsg)) @
% 14.60/4.45 tc_Message_Omsg)))),
% 14.60/4.45 inference('demod', [status(thm)],
% 14.60/4.45 [zip_derived_cl6656, zip_derived_cl12, zip_derived_cl12])).
% 14.60/4.45 thf(zip_derived_cl30, plain,
% 14.60/4.45 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 14.60/4.45 (~ (c_in @ X0 @ X1 @ X2)
% 14.60/4.45 | (c_in @ X0 @ (c_insert @ X3 @ X1 @ X2) @ X2))),
% 14.60/4.45 inference('cnf', [status(esa)], [cls_Set_Oinsert__iff_2])).
% 14.60/4.45 thf(zip_derived_cl6750, plain,
% 14.60/4.45 ((~ (c_in @ v_X @
% 14.60/4.45 (c_insert @ (c_Message_Omsg_OAgent @ v_B) @
% 14.60/4.45 (c_Message_Oparts @
% 14.60/4.45 (c_Event_Oknows @ c_Message_Oagent_OSpy @ v_evs2)) @
% 14.60/4.45 tc_Message_Omsg) @
% 14.60/4.45 tc_Message_Omsg))
% 14.60/4.45 <= (~
% 14.60/4.45 ( (c_in @ v_X @
% 14.60/4.45 (c_Message_Oparts @
% 14.60/4.45 (c_insert @
% 14.60/4.45 (c_Message_Omsg_OCrypt @ (c_Public_OshrK @ v_B) @
% 14.60/4.45 (c_Message_Omsg_OMPair @ (c_Message_Omsg_ONonce @ v_NA) @
% 14.60/4.45 (c_Message_Omsg_OMPair @ (c_Message_Omsg_ONonce @ v_NB) @
% 14.60/4.45 (c_Message_Omsg_OMPair @ (c_Message_Omsg_OAgent @ v_Aa) @
% 14.60/4.45 (c_Message_Omsg_OAgent @ v_B))))) @
% 14.60/4.45 (c_Event_Oknows @ c_Message_Oagent_OSpy @ v_evs2) @
% 14.60/4.45 tc_Message_Omsg)) @
% 14.60/4.45 tc_Message_Omsg)))),
% 14.60/4.45 inference('s_sup+', [status(thm)], [zip_derived_cl6658, zip_derived_cl30])).
% 14.60/4.45 thf(zip_derived_cl30, plain,
% 14.60/4.45 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 14.60/4.45 (~ (c_in @ X0 @ X1 @ X2)
% 14.60/4.45 | (c_in @ X0 @ (c_insert @ X3 @ X1 @ X2) @ X2))),
% 14.60/4.45 inference('cnf', [status(esa)], [cls_Set_Oinsert__iff_2])).
% 14.60/4.45 thf(zip_derived_cl6753, plain,
% 14.60/4.45 ((~ (c_in @ v_X @
% 14.60/4.45 (c_Message_Oparts @
% 14.60/4.45 (c_Event_Oknows @ c_Message_Oagent_OSpy @ v_evs2)) @
% 14.60/4.45 tc_Message_Omsg))
% 14.60/4.45 <= (~
% 14.60/4.45 ( (c_in @ v_X @
% 14.60/4.45 (c_Message_Oparts @
% 14.60/4.45 (c_insert @
% 14.60/4.45 (c_Message_Omsg_OCrypt @ (c_Public_OshrK @ v_B) @
% 14.60/4.45 (c_Message_Omsg_OMPair @ (c_Message_Omsg_ONonce @ v_NA) @
% 14.60/4.45 (c_Message_Omsg_OMPair @ (c_Message_Omsg_ONonce @ v_NB) @
% 14.60/4.45 (c_Message_Omsg_OMPair @ (c_Message_Omsg_OAgent @ v_Aa) @
% 14.60/4.45 (c_Message_Omsg_OAgent @ v_B))))) @
% 14.60/4.45 (c_Event_Oknows @ c_Message_Oagent_OSpy @ v_evs2) @
% 14.60/4.45 tc_Message_Omsg)) @
% 14.60/4.45 tc_Message_Omsg)))),
% 14.60/4.45 inference('s_sup+', [status(thm)], [zip_derived_cl6750, zip_derived_cl30])).
% 14.60/4.45 thf('0', plain,
% 14.60/4.45 (~ ( (c_in @ v_A @ c_Event_Obad @ tc_Message_Oagent)) |
% 14.60/4.45 ~
% 14.60/4.45 ( (c_in @ (c_Message_Omsg_OKey @ (c_Public_OshrK @ v_A)) @
% 14.60/4.45 (c_Message_Oparts @
% 14.60/4.45 (c_insert @ v_X @
% 14.60/4.45 (c_insert @
% 14.60/4.45 (c_Message_Omsg_OCrypt @ (c_Public_OshrK @ v_B) @
% 14.60/4.45 (c_Message_Omsg_OMPair @ (c_Message_Omsg_ONonce @ v_NA) @
% 14.60/4.45 (c_Message_Omsg_OMPair @ (c_Message_Omsg_ONonce @ v_NB) @
% 14.60/4.45 (c_Message_Omsg_OMPair @ (c_Message_Omsg_OAgent @ v_Aa) @
% 14.60/4.45 (c_Message_Omsg_OAgent @ v_B))))) @
% 14.60/4.45 (c_Event_Oknows @ c_Message_Oagent_OSpy @ v_evs2) @
% 14.60/4.45 tc_Message_Omsg) @
% 14.60/4.45 tc_Message_Omsg)) @
% 14.60/4.45 tc_Message_Omsg))),
% 14.60/4.45 inference('split', [status(esa)], [zip_derived_cl35])).
% 14.60/4.45 thf(zip_derived_cl30, plain,
% 14.60/4.45 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 14.60/4.45 (~ (c_in @ X0 @ X1 @ X2)
% 14.60/4.45 | (c_in @ X0 @ (c_insert @ X3 @ X1 @ X2) @ X2))),
% 14.60/4.45 inference('cnf', [status(esa)], [cls_Set_Oinsert__iff_2])).
% 14.60/4.45 thf(zip_derived_cl7, plain,
% 14.60/4.45 (![X0 : $i, X1 : $i]:
% 14.60/4.45 (~ (c_in @ X0 @ X1 @ tc_Message_Omsg)
% 14.60/4.45 | (c_in @ X0 @ (c_Message_Oparts @ X1) @ tc_Message_Omsg))),
% 14.60/4.45 inference('cnf', [status(esa)], [cls_Message_Oparts_OInj_0])).
% 14.60/4.45 thf(zip_derived_cl39, plain,
% 14.60/4.45 ((~ (c_in @ (c_Message_Omsg_OKey @ (c_Public_OshrK @ v_A)) @
% 14.60/4.45 (c_Message_Oparts @
% 14.60/4.45 (c_insert @ v_X @
% 14.60/4.45 (c_insert @
% 14.60/4.45 (c_Message_Omsg_OCrypt @ (c_Public_OshrK @ v_B) @
% 14.60/4.45 (c_Message_Omsg_OMPair @ (c_Message_Omsg_ONonce @ v_NA) @
% 14.60/4.45 (c_Message_Omsg_OMPair @ (c_Message_Omsg_ONonce @ v_NB) @
% 14.60/4.45 (c_Message_Omsg_OMPair @ (c_Message_Omsg_OAgent @ v_Aa) @
% 14.60/4.45 (c_Message_Omsg_OAgent @ v_B))))) @
% 14.60/4.45 (c_Event_Oknows @ c_Message_Oagent_OSpy @ v_evs2) @
% 14.60/4.45 tc_Message_Omsg) @
% 14.60/4.45 tc_Message_Omsg)) @
% 14.60/4.45 tc_Message_Omsg))
% 14.60/4.45 <= (~
% 14.60/4.45 ( (c_in @ (c_Message_Omsg_OKey @ (c_Public_OshrK @ v_A)) @
% 14.60/4.45 (c_Message_Oparts @
% 14.60/4.45 (c_insert @ v_X @
% 14.60/4.45 (c_insert @
% 14.60/4.45 (c_Message_Omsg_OCrypt @ (c_Public_OshrK @ v_B) @
% 14.60/4.45 (c_Message_Omsg_OMPair @ (c_Message_Omsg_ONonce @ v_NA) @
% 14.60/4.45 (c_Message_Omsg_OMPair @ (c_Message_Omsg_ONonce @ v_NB) @
% 14.60/4.45 (c_Message_Omsg_OMPair @
% 14.60/4.45 (c_Message_Omsg_OAgent @ v_Aa) @
% 14.60/4.45 (c_Message_Omsg_OAgent @ v_B))))) @
% 14.60/4.45 (c_Event_Oknows @ c_Message_Oagent_OSpy @ v_evs2) @
% 14.60/4.45 tc_Message_Omsg) @
% 14.60/4.45 tc_Message_Omsg)) @
% 14.60/4.45 tc_Message_Omsg)))),
% 14.60/4.45 inference('split', [status(esa)], [zip_derived_cl35])).
% 14.60/4.45 thf(zip_derived_cl59, plain,
% 14.60/4.45 ((~ (c_in @ (c_Message_Omsg_OKey @ (c_Public_OshrK @ v_A)) @
% 14.60/4.45 (c_insert @ v_X @
% 14.60/4.45 (c_insert @
% 14.60/4.45 (c_Message_Omsg_OCrypt @ (c_Public_OshrK @ v_B) @
% 14.60/4.45 (c_Message_Omsg_OMPair @ (c_Message_Omsg_ONonce @ v_NA) @
% 14.60/4.45 (c_Message_Omsg_OMPair @ (c_Message_Omsg_ONonce @ v_NB) @
% 14.60/4.45 (c_Message_Omsg_OMPair @ (c_Message_Omsg_OAgent @ v_Aa) @
% 14.60/4.45 (c_Message_Omsg_OAgent @ v_B))))) @
% 14.60/4.45 (c_Event_Oknows @ c_Message_Oagent_OSpy @ v_evs2) @
% 14.60/4.45 tc_Message_Omsg) @
% 14.60/4.45 tc_Message_Omsg) @
% 14.60/4.45 tc_Message_Omsg))
% 14.60/4.45 <= (~
% 14.60/4.45 ( (c_in @ (c_Message_Omsg_OKey @ (c_Public_OshrK @ v_A)) @
% 14.60/4.45 (c_Message_Oparts @
% 14.60/4.45 (c_insert @ v_X @
% 14.60/4.45 (c_insert @
% 14.60/4.45 (c_Message_Omsg_OCrypt @ (c_Public_OshrK @ v_B) @
% 14.60/4.45 (c_Message_Omsg_OMPair @ (c_Message_Omsg_ONonce @ v_NA) @
% 14.60/4.45 (c_Message_Omsg_OMPair @ (c_Message_Omsg_ONonce @ v_NB) @
% 14.60/4.45 (c_Message_Omsg_OMPair @
% 14.60/4.45 (c_Message_Omsg_OAgent @ v_Aa) @
% 14.60/4.45 (c_Message_Omsg_OAgent @ v_B))))) @
% 14.60/4.45 (c_Event_Oknows @ c_Message_Oagent_OSpy @ v_evs2) @
% 14.60/4.45 tc_Message_Omsg) @
% 14.60/4.45 tc_Message_Omsg)) @
% 14.60/4.45 tc_Message_Omsg)))),
% 14.60/4.45 inference('s_sup-', [status(thm)], [zip_derived_cl7, zip_derived_cl39])).
% 14.60/4.45 thf(zip_derived_cl216, plain,
% 14.60/4.45 ((~ (c_in @ (c_Message_Omsg_OKey @ (c_Public_OshrK @ v_A)) @
% 14.60/4.45 (c_insert @
% 14.60/4.45 (c_Message_Omsg_OCrypt @ (c_Public_OshrK @ v_B) @
% 14.60/4.45 (c_Message_Omsg_OMPair @ (c_Message_Omsg_ONonce @ v_NA) @
% 14.60/4.45 (c_Message_Omsg_OMPair @ (c_Message_Omsg_ONonce @ v_NB) @
% 14.60/4.45 (c_Message_Omsg_OMPair @ (c_Message_Omsg_OAgent @ v_Aa) @
% 14.60/4.45 (c_Message_Omsg_OAgent @ v_B))))) @
% 14.60/4.45 (c_Event_Oknows @ c_Message_Oagent_OSpy @ v_evs2) @ tc_Message_Omsg) @
% 14.60/4.45 tc_Message_Omsg))
% 14.60/4.45 <= (~
% 14.60/4.45 ( (c_in @ (c_Message_Omsg_OKey @ (c_Public_OshrK @ v_A)) @
% 14.60/4.45 (c_Message_Oparts @
% 14.60/4.45 (c_insert @ v_X @
% 14.60/4.45 (c_insert @
% 14.60/4.45 (c_Message_Omsg_OCrypt @ (c_Public_OshrK @ v_B) @
% 14.60/4.45 (c_Message_Omsg_OMPair @ (c_Message_Omsg_ONonce @ v_NA) @
% 14.60/4.45 (c_Message_Omsg_OMPair @ (c_Message_Omsg_ONonce @ v_NB) @
% 14.60/4.45 (c_Message_Omsg_OMPair @
% 14.60/4.45 (c_Message_Omsg_OAgent @ v_Aa) @
% 14.60/4.45 (c_Message_Omsg_OAgent @ v_B))))) @
% 14.60/4.45 (c_Event_Oknows @ c_Message_Oagent_OSpy @ v_evs2) @
% 14.60/4.45 tc_Message_Omsg) @
% 14.60/4.45 tc_Message_Omsg)) @
% 14.60/4.45 tc_Message_Omsg)))),
% 14.60/4.45 inference('s_sup-', [status(thm)], [zip_derived_cl30, zip_derived_cl59])).
% 14.60/4.45 thf(zip_derived_cl30, plain,
% 14.60/4.45 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 14.60/4.45 (~ (c_in @ X0 @ X1 @ X2)
% 14.60/4.45 | (c_in @ X0 @ (c_insert @ X3 @ X1 @ X2) @ X2))),
% 14.60/4.45 inference('cnf', [status(esa)], [cls_Set_Oinsert__iff_2])).
% 14.60/4.45 thf(zip_derived_cl231, plain,
% 14.60/4.45 ((~ (c_in @ (c_Message_Omsg_OKey @ (c_Public_OshrK @ v_A)) @
% 14.60/4.45 (c_Event_Oknows @ c_Message_Oagent_OSpy @ v_evs2) @ tc_Message_Omsg))
% 14.60/4.45 <= (~
% 14.60/4.45 ( (c_in @ (c_Message_Omsg_OKey @ (c_Public_OshrK @ v_A)) @
% 14.60/4.45 (c_Message_Oparts @
% 14.60/4.45 (c_insert @ v_X @
% 14.60/4.45 (c_insert @
% 14.60/4.45 (c_Message_Omsg_OCrypt @ (c_Public_OshrK @ v_B) @
% 14.60/4.45 (c_Message_Omsg_OMPair @ (c_Message_Omsg_ONonce @ v_NA) @
% 14.60/4.45 (c_Message_Omsg_OMPair @ (c_Message_Omsg_ONonce @ v_NB) @
% 14.60/4.45 (c_Message_Omsg_OMPair @
% 14.60/4.45 (c_Message_Omsg_OAgent @ v_Aa) @
% 14.60/4.45 (c_Message_Omsg_OAgent @ v_B))))) @
% 14.60/4.45 (c_Event_Oknows @ c_Message_Oagent_OSpy @ v_evs2) @
% 14.60/4.45 tc_Message_Omsg) @
% 14.60/4.45 tc_Message_Omsg)) @
% 14.60/4.45 tc_Message_Omsg)))),
% 14.60/4.45 inference('s_sup+', [status(thm)], [zip_derived_cl216, zip_derived_cl30])).
% 14.60/4.45 thf(cls_Public_OSpy__spies__bad__shrK_0, axiom,
% 14.60/4.45 (( ~( c_in @ V_A @ c_Event_Obad @ tc_Message_Oagent ) ) |
% 14.60/4.45 ( c_in @
% 14.60/4.45 ( c_Message_Omsg_OKey @ ( c_Public_OshrK @ V_A ) ) @
% 14.60/4.45 ( c_Event_Oknows @ c_Message_Oagent_OSpy @ V_evs ) @ tc_Message_Omsg ))).
% 14.60/4.45 thf(zip_derived_cl23, plain,
% 14.60/4.45 (![X0 : $i, X1 : $i]:
% 14.60/4.45 (~ (c_in @ X0 @ c_Event_Obad @ tc_Message_Oagent)
% 14.60/4.45 | (c_in @ (c_Message_Omsg_OKey @ (c_Public_OshrK @ X0)) @
% 14.60/4.45 (c_Event_Oknows @ c_Message_Oagent_OSpy @ X1) @ tc_Message_Omsg))),
% 14.60/4.45 inference('cnf', [status(esa)], [cls_Public_OSpy__spies__bad__shrK_0])).
% 14.60/4.45 thf(zip_derived_cl233, plain,
% 14.60/4.45 ((~ (c_in @ v_A @ c_Event_Obad @ tc_Message_Oagent))
% 14.60/4.45 <= (~
% 14.60/4.45 ( (c_in @ (c_Message_Omsg_OKey @ (c_Public_OshrK @ v_A)) @
% 14.60/4.45 (c_Message_Oparts @
% 14.60/4.45 (c_insert @ v_X @
% 14.60/4.45 (c_insert @
% 14.60/4.45 (c_Message_Omsg_OCrypt @ (c_Public_OshrK @ v_B) @
% 14.60/4.45 (c_Message_Omsg_OMPair @ (c_Message_Omsg_ONonce @ v_NA) @
% 14.60/4.45 (c_Message_Omsg_OMPair @ (c_Message_Omsg_ONonce @ v_NB) @
% 14.60/4.45 (c_Message_Omsg_OMPair @
% 14.60/4.45 (c_Message_Omsg_OAgent @ v_Aa) @
% 14.60/4.45 (c_Message_Omsg_OAgent @ v_B))))) @
% 14.60/4.45 (c_Event_Oknows @ c_Message_Oagent_OSpy @ v_evs2) @
% 14.60/4.45 tc_Message_Omsg) @
% 14.60/4.45 tc_Message_Omsg)) @
% 14.60/4.45 tc_Message_Omsg)))),
% 14.60/4.45 inference('s_sup+', [status(thm)], [zip_derived_cl231, zip_derived_cl23])).
% 14.60/4.45 thf(cls_conjecture_3, conjecture,
% 14.60/4.45 (~( ( ~( c_in @
% 14.60/4.45 ( c_Message_Omsg_OKey @ ( c_Public_OshrK @ v_A ) ) @
% 14.60/4.45 ( c_Message_Oparts @
% 14.60/4.45 ( c_Event_Oknows @ c_Message_Oagent_OSpy @ v_evs2 ) ) @
% 14.60/4.45 tc_Message_Omsg ) ) |
% 14.60/4.45 ( c_in @ v_A @ c_Event_Obad @ tc_Message_Oagent ) ))).
% 14.60/4.45 thf(zf_stmt_3, negated_conjecture,
% 14.60/4.45 (( ~( c_in @
% 14.60/4.45 ( c_Message_Omsg_OKey @ ( c_Public_OshrK @ v_A ) ) @
% 14.60/4.45 ( c_Message_Oparts @
% 14.60/4.45 ( c_Event_Oknows @ c_Message_Oagent_OSpy @ v_evs2 ) ) @
% 14.60/4.45 tc_Message_Omsg ) ) |
% 14.60/4.45 ( c_in @ v_A @ c_Event_Obad @ tc_Message_Oagent )),
% 14.60/4.45 inference('cnf.neg', [status(esa)], [cls_conjecture_3])).
% 14.60/4.45 thf(zip_derived_cl34, plain,
% 14.60/4.45 ((~ (c_in @ (c_Message_Omsg_OKey @ (c_Public_OshrK @ v_A)) @
% 14.60/4.45 (c_Message_Oparts @
% 14.60/4.45 (c_Event_Oknows @ c_Message_Oagent_OSpy @ v_evs2)) @
% 14.60/4.45 tc_Message_Omsg)
% 14.60/4.45 | (c_in @ v_A @ c_Event_Obad @ tc_Message_Oagent))),
% 14.60/4.45 inference('cnf', [status(esa)], [zf_stmt_3])).
% 14.60/4.45 thf(zip_derived_cl37, plain,
% 14.60/4.45 (( (c_in @ v_A @ c_Event_Obad @ tc_Message_Oagent))
% 14.60/4.45 <= (( (c_in @ v_A @ c_Event_Obad @ tc_Message_Oagent)))),
% 14.60/4.45 inference('split', [status(esa)], [zip_derived_cl34])).
% 14.60/4.45 thf('1', plain,
% 14.60/4.45 (( (c_in @ (c_Message_Omsg_OKey @ (c_Public_OshrK @ v_A)) @
% 14.60/4.45 (c_Message_Oparts @
% 14.60/4.45 (c_insert @ v_X @
% 14.60/4.45 (c_insert @
% 14.60/4.45 (c_Message_Omsg_OCrypt @ (c_Public_OshrK @ v_B) @
% 14.60/4.45 (c_Message_Omsg_OMPair @ (c_Message_Omsg_ONonce @ v_NA) @
% 14.60/4.45 (c_Message_Omsg_OMPair @ (c_Message_Omsg_ONonce @ v_NB) @
% 14.60/4.45 (c_Message_Omsg_OMPair @ (c_Message_Omsg_OAgent @ v_Aa) @
% 14.60/4.45 (c_Message_Omsg_OAgent @ v_B))))) @
% 14.60/4.45 (c_Event_Oknows @ c_Message_Oagent_OSpy @ v_evs2) @
% 14.60/4.45 tc_Message_Omsg) @
% 14.60/4.45 tc_Message_Omsg)) @
% 14.60/4.45 tc_Message_Omsg)) |
% 14.60/4.45 ~ ( (c_in @ v_A @ c_Event_Obad @ tc_Message_Oagent))),
% 14.60/4.45 inference('s_sup+', [status(thm)], [zip_derived_cl233, zip_derived_cl37])).
% 14.60/4.45 thf(cls_conjecture_6, conjecture,
% 14.60/4.45 (~( ( c_in @ v_A @ c_Event_Obad @ tc_Message_Oagent ) |
% 14.60/4.45 ( c_in @
% 14.60/4.45 ( c_Message_Omsg_OKey @ ( c_Public_OshrK @ v_A ) ) @
% 14.60/4.45 ( c_Message_Oparts @
% 14.60/4.45 ( c_insert @
% 14.60/4.45 v_X @
% 14.60/4.45 ( c_insert @
% 14.60/4.45 ( c_Message_Omsg_OCrypt @
% 14.60/4.45 ( c_Public_OshrK @ v_B ) @
% 14.60/4.45 ( c_Message_Omsg_OMPair @
% 14.60/4.45 ( c_Message_Omsg_ONonce @ v_NA ) @
% 14.60/4.45 ( c_Message_Omsg_OMPair @
% 14.60/4.45 ( c_Message_Omsg_ONonce @ v_NB ) @
% 14.60/4.45 ( c_Message_Omsg_OMPair @
% 14.60/4.45 ( c_Message_Omsg_OAgent @ v_Aa ) @
% 14.60/4.45 ( c_Message_Omsg_OAgent @ v_B ) ) ) ) ) @
% 14.60/4.45 ( c_Event_Oknows @ c_Message_Oagent_OSpy @ v_evs2 ) @
% 14.60/4.45 tc_Message_Omsg ) @
% 14.60/4.45 tc_Message_Omsg ) ) @
% 14.60/4.45 tc_Message_Omsg ) ))).
% 14.60/4.45 thf(zf_stmt_4, negated_conjecture,
% 14.60/4.45 (( c_in @ v_A @ c_Event_Obad @ tc_Message_Oagent ) |
% 14.60/4.45 ( c_in @
% 14.60/4.45 ( c_Message_Omsg_OKey @ ( c_Public_OshrK @ v_A ) ) @
% 14.60/4.45 ( c_Message_Oparts @
% 14.60/4.45 ( c_insert @
% 14.60/4.45 v_X @
% 14.60/4.45 ( c_insert @
% 14.60/4.45 ( c_Message_Omsg_OCrypt @
% 14.60/4.45 ( c_Public_OshrK @ v_B ) @
% 14.60/4.45 ( c_Message_Omsg_OMPair @
% 14.60/4.45 ( c_Message_Omsg_ONonce @ v_NA ) @
% 14.60/4.45 ( c_Message_Omsg_OMPair @
% 14.60/4.45 ( c_Message_Omsg_ONonce @ v_NB ) @
% 14.60/4.45 ( c_Message_Omsg_OMPair @
% 14.60/4.45 ( c_Message_Omsg_OAgent @ v_Aa ) @
% 14.60/4.45 ( c_Message_Omsg_OAgent @ v_B ) ) ) ) ) @
% 14.60/4.45 ( c_Event_Oknows @ c_Message_Oagent_OSpy @ v_evs2 ) @
% 14.60/4.45 tc_Message_Omsg ) @
% 14.60/4.45 tc_Message_Omsg ) ) @
% 14.60/4.45 tc_Message_Omsg )),
% 14.60/4.45 inference('cnf.neg', [status(esa)], [cls_conjecture_6])).
% 14.60/4.45 thf(zip_derived_cl36, plain,
% 14.60/4.45 (( (c_in @ v_A @ c_Event_Obad @ tc_Message_Oagent)
% 14.60/4.45 | (c_in @ (c_Message_Omsg_OKey @ (c_Public_OshrK @ v_A)) @
% 14.60/4.45 (c_Message_Oparts @
% 14.60/4.45 (c_insert @ v_X @
% 14.60/4.45 (c_insert @
% 14.60/4.45 (c_Message_Omsg_OCrypt @ (c_Public_OshrK @ v_B) @
% 14.60/4.45 (c_Message_Omsg_OMPair @ (c_Message_Omsg_ONonce @ v_NA) @
% 14.60/4.45 (c_Message_Omsg_OMPair @ (c_Message_Omsg_ONonce @ v_NB) @
% 14.60/4.45 (c_Message_Omsg_OMPair @ (c_Message_Omsg_OAgent @ v_Aa) @
% 14.60/4.45 (c_Message_Omsg_OAgent @ v_B))))) @
% 14.60/4.45 (c_Event_Oknows @ c_Message_Oagent_OSpy @ v_evs2) @
% 14.60/4.45 tc_Message_Omsg) @
% 14.60/4.45 tc_Message_Omsg)) @
% 14.60/4.45 tc_Message_Omsg))),
% 14.60/4.45 inference('cnf', [status(esa)], [zf_stmt_4])).
% 14.60/4.45 thf('2', plain,
% 14.60/4.45 (( (c_in @ (c_Message_Omsg_OKey @ (c_Public_OshrK @ v_A)) @
% 14.60/4.45 (c_Message_Oparts @
% 14.60/4.45 (c_insert @ v_X @
% 14.60/4.45 (c_insert @
% 14.60/4.45 (c_Message_Omsg_OCrypt @ (c_Public_OshrK @ v_B) @
% 14.60/4.45 (c_Message_Omsg_OMPair @ (c_Message_Omsg_ONonce @ v_NA) @
% 14.60/4.45 (c_Message_Omsg_OMPair @ (c_Message_Omsg_ONonce @ v_NB) @
% 14.60/4.45 (c_Message_Omsg_OMPair @ (c_Message_Omsg_OAgent @ v_Aa) @
% 14.60/4.45 (c_Message_Omsg_OAgent @ v_B))))) @
% 14.60/4.45 (c_Event_Oknows @ c_Message_Oagent_OSpy @ v_evs2) @
% 14.60/4.45 tc_Message_Omsg) @
% 14.60/4.45 tc_Message_Omsg)) @
% 14.60/4.45 tc_Message_Omsg)) |
% 14.60/4.45 ( (c_in @ v_A @ c_Event_Obad @ tc_Message_Oagent))),
% 14.60/4.45 inference('split', [status(esa)], [zip_derived_cl36])).
% 14.60/4.45 thf(zip_derived_cl13, plain,
% 14.60/4.45 (![X0 : $i, X1 : $i, X2 : $i]:
% 14.60/4.45 ((c_Message_Oparts @
% 14.60/4.45 (c_insert @ (c_Message_Omsg_OCrypt @ X0 @ X1) @ X2 @ tc_Message_Omsg))
% 14.60/4.45 = (c_insert @ (c_Message_Omsg_OCrypt @ X0 @ X1) @
% 14.60/4.45 (c_Message_Oparts @ (c_insert @ X1 @ X2 @ tc_Message_Omsg)) @
% 14.60/4.45 tc_Message_Omsg))),
% 14.60/4.45 inference('cnf', [status(esa)], [cls_Message_Oparts__insert__Crypt_0])).
% 14.60/4.45 thf(cls_Set_Oinsert__iff_0, axiom,
% 14.60/4.45 (( ~( c_in @ V_a @ ( c_insert @ V_b @ V_A @ T_a ) @ T_a ) ) |
% 14.60/4.45 ( c_in @ V_a @ V_A @ T_a ) | ( ( V_a ) = ( V_b ) ))).
% 14.60/4.45 thf(zip_derived_cl29, plain,
% 14.60/4.45 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 14.60/4.45 (~ (c_in @ X0 @ (c_insert @ X1 @ X2 @ X3) @ X3)
% 14.60/4.45 | (c_in @ X0 @ X2 @ X3)
% 14.60/4.45 | ((X0) = (X1)))),
% 14.60/4.45 inference('cnf', [status(esa)], [cls_Set_Oinsert__iff_0])).
% 14.60/4.45 thf(zip_derived_cl205, plain,
% 14.60/4.45 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 14.60/4.45 (~ (c_in @ X3 @
% 14.60/4.45 (c_Message_Oparts @
% 14.60/4.45 (c_insert @ (c_Message_Omsg_OCrypt @ X2 @ X1) @ X0 @
% 14.60/4.45 tc_Message_Omsg)) @
% 14.60/4.45 tc_Message_Omsg)
% 14.60/4.45 | (c_in @ X3 @
% 14.60/4.45 (c_Message_Oparts @ (c_insert @ X1 @ X0 @ tc_Message_Omsg)) @
% 14.60/4.45 tc_Message_Omsg)
% 14.60/4.45 | ((X3) = (c_Message_Omsg_OCrypt @ X2 @ X1)))),
% 14.60/4.45 inference('s_sup-', [status(thm)], [zip_derived_cl13, zip_derived_cl29])).
% 14.60/4.45 thf(zip_derived_cl10, plain,
% 14.60/4.45 (![X0 : $i, X1 : $i]:
% 14.60/4.45 (~ (c_in @ X0 @ (c_Message_Oparts @ X1) @ tc_Message_Omsg)
% 14.60/4.45 | ((c_Message_Oparts @ (c_insert @ X0 @ X1 @ tc_Message_Omsg))
% 14.60/4.45 = (c_Message_Oparts @ X1)))),
% 14.60/4.45 inference('cnf', [status(esa)], [cls_Message_Oparts__cut__eq_0])).
% 14.60/4.45 thf(zip_derived_cl41, plain,
% 14.60/4.45 (( (c_in @ (c_Message_Omsg_OKey @ (c_Public_OshrK @ v_A)) @
% 14.60/4.45 (c_Message_Oparts @
% 14.60/4.45 (c_insert @ v_X @
% 14.60/4.45 (c_insert @
% 14.60/4.45 (c_Message_Omsg_OCrypt @ (c_Public_OshrK @ v_B) @
% 14.60/4.45 (c_Message_Omsg_OMPair @ (c_Message_Omsg_ONonce @ v_NA) @
% 14.60/4.45 (c_Message_Omsg_OMPair @ (c_Message_Omsg_ONonce @ v_NB) @
% 14.60/4.45 (c_Message_Omsg_OMPair @ (c_Message_Omsg_OAgent @ v_Aa) @
% 14.60/4.45 (c_Message_Omsg_OAgent @ v_B))))) @
% 14.60/4.45 (c_Event_Oknows @ c_Message_Oagent_OSpy @ v_evs2) @
% 14.60/4.45 tc_Message_Omsg) @
% 14.60/4.45 tc_Message_Omsg)) @
% 14.60/4.45 tc_Message_Omsg))
% 14.60/4.45 <= (( (c_in @ (c_Message_Omsg_OKey @ (c_Public_OshrK @ v_A)) @
% 14.60/4.45 (c_Message_Oparts @
% 14.60/4.45 (c_insert @ v_X @
% 14.60/4.45 (c_insert @
% 14.60/4.45 (c_Message_Omsg_OCrypt @ (c_Public_OshrK @ v_B) @
% 14.60/4.45 (c_Message_Omsg_OMPair @ (c_Message_Omsg_ONonce @ v_NA) @
% 14.60/4.45 (c_Message_Omsg_OMPair @ (c_Message_Omsg_ONonce @ v_NB) @
% 14.60/4.45 (c_Message_Omsg_OMPair @
% 14.60/4.45 (c_Message_Omsg_OAgent @ v_Aa) @
% 14.60/4.45 (c_Message_Omsg_OAgent @ v_B))))) @
% 14.60/4.45 (c_Event_Oknows @ c_Message_Oagent_OSpy @ v_evs2) @
% 14.60/4.45 tc_Message_Omsg) @
% 14.60/4.45 tc_Message_Omsg)) @
% 14.60/4.45 tc_Message_Omsg)))),
% 14.60/4.45 inference('split', [status(esa)], [zip_derived_cl36])).
% 14.60/4.45 thf(zip_derived_cl138, plain,
% 14.60/4.45 (((~ (c_in @ v_X @
% 14.60/4.45 (c_Message_Oparts @
% 14.60/4.45 (c_insert @
% 14.60/4.45 (c_Message_Omsg_OCrypt @ (c_Public_OshrK @ v_B) @
% 14.60/4.45 (c_Message_Omsg_OMPair @ (c_Message_Omsg_ONonce @ v_NA) @
% 14.60/4.45 (c_Message_Omsg_OMPair @ (c_Message_Omsg_ONonce @ v_NB) @
% 14.60/4.45 (c_Message_Omsg_OMPair @ (c_Message_Omsg_OAgent @ v_Aa) @
% 14.60/4.45 (c_Message_Omsg_OAgent @ v_B))))) @
% 14.60/4.45 (c_Event_Oknows @ c_Message_Oagent_OSpy @ v_evs2) @
% 14.60/4.45 tc_Message_Omsg)) @
% 14.60/4.45 tc_Message_Omsg)
% 14.60/4.45 | (c_in @ (c_Message_Omsg_OKey @ (c_Public_OshrK @ v_A)) @
% 14.60/4.45 (c_Message_Oparts @
% 14.60/4.45 (c_insert @
% 14.60/4.45 (c_Message_Omsg_OCrypt @ (c_Public_OshrK @ v_B) @
% 14.60/4.45 (c_Message_Omsg_OMPair @ (c_Message_Omsg_ONonce @ v_NA) @
% 14.60/4.45 (c_Message_Omsg_OMPair @ (c_Message_Omsg_ONonce @ v_NB) @
% 14.60/4.45 (c_Message_Omsg_OMPair @ (c_Message_Omsg_OAgent @ v_Aa) @
% 14.60/4.45 (c_Message_Omsg_OAgent @ v_B))))) @
% 14.60/4.45 (c_Event_Oknows @ c_Message_Oagent_OSpy @ v_evs2) @
% 14.60/4.45 tc_Message_Omsg)) @
% 14.60/4.45 tc_Message_Omsg)))
% 14.60/4.45 <= (( (c_in @ (c_Message_Omsg_OKey @ (c_Public_OshrK @ v_A)) @
% 14.60/4.45 (c_Message_Oparts @
% 14.60/4.45 (c_insert @ v_X @
% 14.60/4.45 (c_insert @
% 14.60/4.45 (c_Message_Omsg_OCrypt @ (c_Public_OshrK @ v_B) @
% 14.60/4.45 (c_Message_Omsg_OMPair @ (c_Message_Omsg_ONonce @ v_NA) @
% 14.60/4.45 (c_Message_Omsg_OMPair @ (c_Message_Omsg_ONonce @ v_NB) @
% 14.60/4.45 (c_Message_Omsg_OMPair @
% 14.60/4.45 (c_Message_Omsg_OAgent @ v_Aa) @
% 14.60/4.45 (c_Message_Omsg_OAgent @ v_B))))) @
% 14.60/4.45 (c_Event_Oknows @ c_Message_Oagent_OSpy @ v_evs2) @
% 14.60/4.45 tc_Message_Omsg) @
% 14.60/4.45 tc_Message_Omsg)) @
% 14.60/4.45 tc_Message_Omsg)))),
% 14.60/4.45 inference('s_sup+', [status(thm)], [zip_derived_cl10, zip_derived_cl41])).
% 14.60/4.45 thf(zip_derived_cl193, plain,
% 14.60/4.45 (( (c_in @ (c_Message_Omsg_OKey @ (c_Public_OshrK @ v_A)) @
% 14.60/4.45 (c_Message_Oparts @
% 14.60/4.45 (c_insert @
% 14.60/4.45 (c_Message_Omsg_OCrypt @ (c_Public_OshrK @ v_B) @
% 14.60/4.45 (c_Message_Omsg_OMPair @ (c_Message_Omsg_ONonce @ v_NA) @
% 14.60/4.45 (c_Message_Omsg_OMPair @ (c_Message_Omsg_ONonce @ v_NB) @
% 14.60/4.45 (c_Message_Omsg_OMPair @ (c_Message_Omsg_OAgent @ v_Aa) @
% 14.60/4.45 (c_Message_Omsg_OAgent @ v_B))))) @
% 14.60/4.45 (c_Event_Oknows @ c_Message_Oagent_OSpy @ v_evs2) @ tc_Message_Omsg)) @
% 14.60/4.45 tc_Message_Omsg))
% 14.60/4.45 <= (( (c_in @ (c_Message_Omsg_OKey @ (c_Public_OshrK @ v_A)) @
% 14.60/4.45 (c_Message_Oparts @
% 14.60/4.45 (c_insert @
% 14.60/4.45 (c_Message_Omsg_OCrypt @ (c_Public_OshrK @ v_B) @
% 14.60/4.45 (c_Message_Omsg_OMPair @ (c_Message_Omsg_ONonce @ v_NA) @
% 14.60/4.45 (c_Message_Omsg_OMPair @ (c_Message_Omsg_ONonce @ v_NB) @
% 14.60/4.45 (c_Message_Omsg_OMPair @ (c_Message_Omsg_OAgent @ v_Aa) @
% 14.60/4.45 (c_Message_Omsg_OAgent @ v_B))))) @
% 14.60/4.45 (c_Event_Oknows @ c_Message_Oagent_OSpy @ v_evs2) @
% 14.60/4.45 tc_Message_Omsg)) @
% 14.60/4.45 tc_Message_Omsg)))),
% 14.60/4.45 inference('split', [status(esa)], [zip_derived_cl138])).
% 14.60/4.45 thf(zip_derived_cl6107, plain,
% 14.60/4.45 (((((c_Message_Omsg_OKey @ (c_Public_OshrK @ v_A))
% 14.60/4.45 = (c_Message_Omsg_OCrypt @ (c_Public_OshrK @ v_B) @
% 14.60/4.45 (c_Message_Omsg_OMPair @ (c_Message_Omsg_ONonce @ v_NA) @
% 14.60/4.45 (c_Message_Omsg_OMPair @ (c_Message_Omsg_ONonce @ v_NB) @
% 14.60/4.45 (c_Message_Omsg_OMPair @ (c_Message_Omsg_OAgent @ v_Aa) @
% 14.60/4.45 (c_Message_Omsg_OAgent @ v_B))))))
% 14.60/4.45 | (c_in @ (c_Message_Omsg_OKey @ (c_Public_OshrK @ v_A)) @
% 14.60/4.45 (c_Message_Oparts @
% 14.60/4.45 (c_insert @
% 14.60/4.45 (c_Message_Omsg_OMPair @ (c_Message_Omsg_ONonce @ v_NA) @
% 14.60/4.45 (c_Message_Omsg_OMPair @ (c_Message_Omsg_ONonce @ v_NB) @
% 14.60/4.45 (c_Message_Omsg_OMPair @ (c_Message_Omsg_OAgent @ v_Aa) @
% 14.60/4.45 (c_Message_Omsg_OAgent @ v_B)))) @
% 14.60/4.45 (c_Event_Oknows @ c_Message_Oagent_OSpy @ v_evs2) @
% 14.60/4.45 tc_Message_Omsg)) @
% 14.60/4.45 tc_Message_Omsg)))
% 14.60/4.45 <= (( (c_in @ (c_Message_Omsg_OKey @ (c_Public_OshrK @ v_A)) @
% 14.60/4.45 (c_Message_Oparts @
% 14.60/4.45 (c_insert @
% 14.60/4.45 (c_Message_Omsg_OCrypt @ (c_Public_OshrK @ v_B) @
% 14.60/4.45 (c_Message_Omsg_OMPair @ (c_Message_Omsg_ONonce @ v_NA) @
% 14.60/4.45 (c_Message_Omsg_OMPair @ (c_Message_Omsg_ONonce @ v_NB) @
% 14.60/4.45 (c_Message_Omsg_OMPair @ (c_Message_Omsg_OAgent @ v_Aa) @
% 14.60/4.45 (c_Message_Omsg_OAgent @ v_B))))) @
% 14.60/4.45 (c_Event_Oknows @ c_Message_Oagent_OSpy @ v_evs2) @
% 14.60/4.45 tc_Message_Omsg)) @
% 14.60/4.45 tc_Message_Omsg)))),
% 14.60/4.45 inference('s_sup+', [status(thm)], [zip_derived_cl205, zip_derived_cl193])).
% 14.60/4.45 thf(zip_derived_cl6129, plain,
% 14.60/4.45 (( (c_in @ (c_Message_Omsg_OKey @ (c_Public_OshrK @ v_A)) @
% 14.60/4.45 (c_Message_Oparts @
% 14.60/4.45 (c_insert @
% 14.60/4.45 (c_Message_Omsg_OMPair @ (c_Message_Omsg_ONonce @ v_NA) @
% 14.60/4.45 (c_Message_Omsg_OMPair @ (c_Message_Omsg_ONonce @ v_NB) @
% 14.60/4.45 (c_Message_Omsg_OMPair @ (c_Message_Omsg_OAgent @ v_Aa) @
% 14.60/4.45 (c_Message_Omsg_OAgent @ v_B)))) @
% 14.60/4.45 (c_Event_Oknows @ c_Message_Oagent_OSpy @ v_evs2) @ tc_Message_Omsg)) @
% 14.60/4.45 tc_Message_Omsg))
% 14.60/4.45 <= (( (c_in @ (c_Message_Omsg_OKey @ (c_Public_OshrK @ v_A)) @
% 14.60/4.45 (c_Message_Oparts @
% 14.60/4.45 (c_insert @
% 14.60/4.45 (c_Message_Omsg_OMPair @ (c_Message_Omsg_ONonce @ v_NA) @
% 14.60/4.45 (c_Message_Omsg_OMPair @ (c_Message_Omsg_ONonce @ v_NB) @
% 14.60/4.45 (c_Message_Omsg_OMPair @ (c_Message_Omsg_OAgent @ v_Aa) @
% 14.60/4.45 (c_Message_Omsg_OAgent @ v_B)))) @
% 14.60/4.45 (c_Event_Oknows @ c_Message_Oagent_OSpy @ v_evs2) @
% 14.60/4.45 tc_Message_Omsg)) @
% 14.60/4.45 tc_Message_Omsg)))),
% 14.60/4.45 inference('split', [status(esa)], [zip_derived_cl6107])).
% 14.60/4.45 thf(zip_derived_cl14, plain,
% 14.60/4.45 (![X0 : $i, X1 : $i, X2 : $i]:
% 14.60/4.45 ((c_Message_Oparts @
% 14.60/4.45 (c_insert @ (c_Message_Omsg_OMPair @ X0 @ X1) @ X2 @ tc_Message_Omsg))
% 14.60/4.45 = (c_insert @ (c_Message_Omsg_OMPair @ X0 @ X1) @
% 14.60/4.45 (c_Message_Oparts @
% 14.60/4.45 (c_insert @ X0 @ (c_insert @ X1 @ X2 @ tc_Message_Omsg) @
% 14.60/4.45 tc_Message_Omsg)) @
% 14.60/4.45 tc_Message_Omsg))),
% 14.60/4.45 inference('cnf', [status(esa)], [cls_Message_Oparts__insert__MPair_0])).
% 14.60/4.45 thf(zip_derived_cl29, plain,
% 14.60/4.45 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 14.60/4.45 (~ (c_in @ X0 @ (c_insert @ X1 @ X2 @ X3) @ X3)
% 14.60/4.45 | (c_in @ X0 @ X2 @ X3)
% 14.60/4.45 | ((X0) = (X1)))),
% 14.60/4.45 inference('cnf', [status(esa)], [cls_Set_Oinsert__iff_0])).
% 14.60/4.45 thf(zip_derived_cl204, plain,
% 14.60/4.45 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 14.60/4.45 (~ (c_in @ X3 @
% 14.60/4.45 (c_Message_Oparts @
% 14.60/4.45 (c_insert @ (c_Message_Omsg_OMPair @ X2 @ X1) @ X0 @
% 14.60/4.45 tc_Message_Omsg)) @
% 14.60/4.45 tc_Message_Omsg)
% 14.60/4.45 | (c_in @ X3 @
% 14.60/4.45 (c_Message_Oparts @
% 14.60/4.45 (c_insert @ X2 @ (c_insert @ X1 @ X0 @ tc_Message_Omsg) @
% 14.60/4.45 tc_Message_Omsg)) @
% 14.60/4.45 tc_Message_Omsg)
% 14.60/4.45 | ((X3) = (c_Message_Omsg_OMPair @ X2 @ X1)))),
% 14.60/4.45 inference('s_sup-', [status(thm)], [zip_derived_cl14, zip_derived_cl29])).
% 14.60/4.45 thf(zip_derived_cl6131, plain,
% 14.60/4.45 ((( (c_in @ (c_Message_Omsg_OKey @ (c_Public_OshrK @ v_A)) @
% 14.60/4.45 (c_Message_Oparts @
% 14.60/4.45 (c_insert @ (c_Message_Omsg_ONonce @ v_NA) @
% 14.60/4.45 (c_insert @
% 14.60/4.45 (c_Message_Omsg_OMPair @ (c_Message_Omsg_ONonce @ v_NB) @
% 14.60/4.45 (c_Message_Omsg_OMPair @ (c_Message_Omsg_OAgent @ v_Aa) @
% 14.60/4.45 (c_Message_Omsg_OAgent @ v_B))) @
% 14.60/4.45 (c_Event_Oknows @ c_Message_Oagent_OSpy @ v_evs2) @
% 14.60/4.45 tc_Message_Omsg) @
% 14.60/4.45 tc_Message_Omsg)) @
% 14.60/4.45 tc_Message_Omsg)
% 14.60/4.45 | ((c_Message_Omsg_OKey @ (c_Public_OshrK @ v_A))
% 14.60/4.45 = (c_Message_Omsg_OMPair @ (c_Message_Omsg_ONonce @ v_NA) @
% 14.60/4.45 (c_Message_Omsg_OMPair @ (c_Message_Omsg_ONonce @ v_NB) @
% 14.60/4.45 (c_Message_Omsg_OMPair @ (c_Message_Omsg_OAgent @ v_Aa) @
% 14.60/4.45 (c_Message_Omsg_OAgent @ v_B)))))))
% 14.60/4.45 <= (( (c_in @ (c_Message_Omsg_OKey @ (c_Public_OshrK @ v_A)) @
% 14.60/4.45 (c_Message_Oparts @
% 14.60/4.45 (c_insert @
% 14.60/4.45 (c_Message_Omsg_OMPair @ (c_Message_Omsg_ONonce @ v_NA) @
% 14.60/4.45 (c_Message_Omsg_OMPair @ (c_Message_Omsg_ONonce @ v_NB) @
% 14.60/4.45 (c_Message_Omsg_OMPair @ (c_Message_Omsg_OAgent @ v_Aa) @
% 14.60/4.45 (c_Message_Omsg_OAgent @ v_B)))) @
% 14.60/4.45 (c_Event_Oknows @ c_Message_Oagent_OSpy @ v_evs2) @
% 14.60/4.45 tc_Message_Omsg)) @
% 14.60/4.45 tc_Message_Omsg)))),
% 14.60/4.45 inference('s_sup-', [status(thm)],
% 14.60/4.45 [zip_derived_cl6129, zip_derived_cl204])).
% 14.60/4.45 thf(zip_derived_cl15, plain,
% 14.60/4.45 (![X0 : $i, X1 : $i]:
% 14.60/4.45 ((c_Message_Oparts @
% 14.60/4.45 (c_insert @ (c_Message_Omsg_ONonce @ X0) @ X1 @ tc_Message_Omsg))
% 14.60/4.45 = (c_insert @ (c_Message_Omsg_ONonce @ X0) @
% 14.60/4.45 (c_Message_Oparts @ X1) @ tc_Message_Omsg))),
% 14.60/4.45 inference('cnf', [status(esa)], [cls_Message_Oparts__insert__Nonce_0])).
% 14.60/4.45 thf(zip_derived_cl6134, plain,
% 14.60/4.45 ((( (c_in @ (c_Message_Omsg_OKey @ (c_Public_OshrK @ v_A)) @
% 14.60/4.45 (c_insert @ (c_Message_Omsg_ONonce @ v_NA) @
% 14.60/4.45 (c_Message_Oparts @
% 14.60/4.45 (c_insert @
% 14.60/4.45 (c_Message_Omsg_OMPair @ (c_Message_Omsg_ONonce @ v_NB) @
% 14.60/4.45 (c_Message_Omsg_OMPair @ (c_Message_Omsg_OAgent @ v_Aa) @
% 14.60/4.45 (c_Message_Omsg_OAgent @ v_B))) @
% 14.60/4.45 (c_Event_Oknows @ c_Message_Oagent_OSpy @ v_evs2) @
% 14.60/4.45 tc_Message_Omsg)) @
% 14.60/4.45 tc_Message_Omsg) @
% 14.60/4.45 tc_Message_Omsg)
% 14.60/4.45 | ((c_Message_Omsg_OKey @ (c_Public_OshrK @ v_A))
% 14.60/4.45 = (c_Message_Omsg_OMPair @ (c_Message_Omsg_ONonce @ v_NA) @
% 14.60/4.45 (c_Message_Omsg_OMPair @ (c_Message_Omsg_ONonce @ v_NB) @
% 14.60/4.45 (c_Message_Omsg_OMPair @ (c_Message_Omsg_OAgent @ v_Aa) @
% 14.60/4.45 (c_Message_Omsg_OAgent @ v_B)))))))
% 14.60/4.45 <= (( (c_in @ (c_Message_Omsg_OKey @ (c_Public_OshrK @ v_A)) @
% 14.60/4.45 (c_Message_Oparts @
% 14.60/4.45 (c_insert @
% 14.60/4.45 (c_Message_Omsg_OMPair @ (c_Message_Omsg_ONonce @ v_NA) @
% 14.60/4.45 (c_Message_Omsg_OMPair @ (c_Message_Omsg_ONonce @ v_NB) @
% 14.60/4.45 (c_Message_Omsg_OMPair @ (c_Message_Omsg_OAgent @ v_Aa) @
% 14.60/4.45 (c_Message_Omsg_OAgent @ v_B)))) @
% 14.60/4.45 (c_Event_Oknows @ c_Message_Oagent_OSpy @ v_evs2) @
% 14.60/4.45 tc_Message_Omsg)) @
% 14.60/4.45 tc_Message_Omsg)))),
% 14.60/4.45 inference('demod', [status(thm)], [zip_derived_cl6131, zip_derived_cl15])).
% 14.60/4.45 thf(zip_derived_cl6138, plain,
% 14.60/4.45 ((((c_Message_Omsg_OKey @ (c_Public_OshrK @ v_A))
% 14.60/4.45 = (c_Message_Omsg_OMPair @ (c_Message_Omsg_ONonce @ v_NA) @
% 14.60/4.45 (c_Message_Omsg_OMPair @ (c_Message_Omsg_ONonce @ v_NB) @
% 14.60/4.45 (c_Message_Omsg_OMPair @ (c_Message_Omsg_OAgent @ v_Aa) @
% 14.60/4.45 (c_Message_Omsg_OAgent @ v_B))))))
% 14.60/4.45 <= ((((c_Message_Omsg_OKey @ (c_Public_OshrK @ v_A))
% 14.60/4.45 = (c_Message_Omsg_OMPair @ (c_Message_Omsg_ONonce @ v_NA) @
% 14.60/4.45 (c_Message_Omsg_OMPair @ (c_Message_Omsg_ONonce @ v_NB) @
% 14.60/4.45 (c_Message_Omsg_OMPair @ (c_Message_Omsg_OAgent @ v_Aa) @
% 14.60/4.45 (c_Message_Omsg_OAgent @ v_B)))))))),
% 14.60/4.45 inference('split', [status(esa)], [zip_derived_cl6134])).
% 14.60/4.45 thf(cls_Public_OMPair__used_1, axiom,
% 14.60/4.45 (( ~( c_in @
% 14.60/4.45 ( c_Message_Omsg_OMPair @ V_X @ V_Y ) @ ( c_Event_Oused @ V_H ) @
% 14.60/4.45 tc_Message_Omsg ) ) |
% 14.60/4.45 ( c_in @ V_X @ ( c_Event_Oused @ V_H ) @ tc_Message_Omsg ))).
% 14.60/4.45 thf(zip_derived_cl20, plain,
% 14.60/4.45 (![X0 : $i, X1 : $i, X2 : $i]:
% 14.60/4.45 (~ (c_in @ (c_Message_Omsg_OMPair @ X0 @ X1) @ (c_Event_Oused @ X2) @
% 14.60/4.45 tc_Message_Omsg)
% 14.60/4.45 | (c_in @ X0 @ (c_Event_Oused @ X2) @ tc_Message_Omsg))),
% 14.60/4.45 inference('cnf', [status(esa)], [cls_Public_OMPair__used_1])).
% 14.60/4.45 thf(zip_derived_cl6147, plain,
% 14.60/4.45 ((![X0 : $i]:
% 14.60/4.45 (~ (c_in @ (c_Message_Omsg_OKey @ (c_Public_OshrK @ v_A)) @
% 14.60/4.45 (c_Event_Oused @ X0) @ tc_Message_Omsg)
% 14.60/4.45 | (c_in @ (c_Message_Omsg_ONonce @ v_NA) @ (c_Event_Oused @ X0) @
% 14.60/4.45 tc_Message_Omsg)))
% 14.60/4.45 <= ((((c_Message_Omsg_OKey @ (c_Public_OshrK @ v_A))
% 14.60/4.45 = (c_Message_Omsg_OMPair @ (c_Message_Omsg_ONonce @ v_NA) @
% 14.60/4.45 (c_Message_Omsg_OMPair @ (c_Message_Omsg_ONonce @ v_NB) @
% 14.60/4.45 (c_Message_Omsg_OMPair @ (c_Message_Omsg_OAgent @ v_Aa) @
% 14.60/4.45 (c_Message_Omsg_OAgent @ v_B)))))))),
% 14.60/4.45 inference('s_sup-', [status(thm)], [zip_derived_cl6138, zip_derived_cl20])).
% 14.60/4.45 thf(cls_Public_OshrK__in__used_0, axiom,
% 14.60/4.45 (c_in @
% 14.60/4.45 ( c_Message_Omsg_OKey @ ( c_Public_OshrK @ V_A ) ) @
% 14.60/4.45 ( c_Event_Oused @ V_evs ) @ tc_Message_Omsg)).
% 14.60/4.45 thf(zip_derived_cl25, plain,
% 14.60/4.45 (![X0 : $i, X1 : $i]:
% 14.60/4.45 (c_in @ (c_Message_Omsg_OKey @ (c_Public_OshrK @ X0)) @
% 14.60/4.45 (c_Event_Oused @ X1) @ tc_Message_Omsg)),
% 14.60/4.45 inference('cnf', [status(esa)], [cls_Public_OshrK__in__used_0])).
% 14.60/4.45 thf(zip_derived_cl6197, plain,
% 14.60/4.45 ((![X0 : $i]:
% 14.60/4.45 (c_in @ (c_Message_Omsg_ONonce @ v_NA) @ (c_Event_Oused @ X0) @
% 14.60/4.45 tc_Message_Omsg))
% 14.60/4.45 <= ((((c_Message_Omsg_OKey @ (c_Public_OshrK @ v_A))
% 14.60/4.45 = (c_Message_Omsg_OMPair @ (c_Message_Omsg_ONonce @ v_NA) @
% 14.60/4.45 (c_Message_Omsg_OMPair @ (c_Message_Omsg_ONonce @ v_NB) @
% 14.60/4.45 (c_Message_Omsg_OMPair @ (c_Message_Omsg_OAgent @ v_Aa) @
% 14.60/4.45 (c_Message_Omsg_OAgent @ v_B)))))))),
% 14.60/4.45 inference('demod', [status(thm)], [zip_derived_cl6147, zip_derived_cl25])).
% 14.60/4.45 thf(cls_Public_ONonce__notin__used__empty_0, axiom,
% 14.60/4.45 (~( c_in @
% 14.60/4.45 ( c_Message_Omsg_ONonce @ V_N ) @
% 14.60/4.45 ( c_Event_Oused @ c_List_Olist_ONil ) @ tc_Message_Omsg ))).
% 14.60/4.45 thf(zip_derived_cl22, plain,
% 14.60/4.45 (![X0 : $i]:
% 14.60/4.45 ~ (c_in @ (c_Message_Omsg_ONonce @ X0) @
% 14.60/4.45 (c_Event_Oused @ c_List_Olist_ONil) @ tc_Message_Omsg)),
% 14.60/4.45 inference('cnf', [status(esa)], [cls_Public_ONonce__notin__used__empty_0])).
% 14.60/4.45 thf('3', plain,
% 14.60/4.45 (~
% 14.60/4.45 (((c_Message_Omsg_OKey @ (c_Public_OshrK @ v_A))
% 14.60/4.45 = (c_Message_Omsg_OMPair @ (c_Message_Omsg_ONonce @ v_NA) @
% 14.60/4.45 (c_Message_Omsg_OMPair @ (c_Message_Omsg_ONonce @ v_NB) @
% 14.60/4.45 (c_Message_Omsg_OMPair @ (c_Message_Omsg_OAgent @ v_Aa) @
% 14.60/4.45 (c_Message_Omsg_OAgent @ v_B))))))),
% 14.60/4.45 inference('s_sup-', [status(thm)], [zip_derived_cl6197, zip_derived_cl22])).
% 14.60/4.45 thf(zip_derived_cl6137, plain,
% 14.60/4.45 (( (c_in @ (c_Message_Omsg_OKey @ (c_Public_OshrK @ v_A)) @
% 14.60/4.45 (c_insert @ (c_Message_Omsg_ONonce @ v_NA) @
% 14.60/4.45 (c_Message_Oparts @
% 14.60/4.45 (c_insert @
% 14.60/4.45 (c_Message_Omsg_OMPair @ (c_Message_Omsg_ONonce @ v_NB) @
% 14.60/4.45 (c_Message_Omsg_OMPair @ (c_Message_Omsg_OAgent @ v_Aa) @
% 14.60/4.45 (c_Message_Omsg_OAgent @ v_B))) @
% 14.60/4.45 (c_Event_Oknows @ c_Message_Oagent_OSpy @ v_evs2) @
% 14.60/4.45 tc_Message_Omsg)) @
% 14.60/4.45 tc_Message_Omsg) @
% 14.60/4.45 tc_Message_Omsg))
% 14.60/4.45 <= (( (c_in @ (c_Message_Omsg_OKey @ (c_Public_OshrK @ v_A)) @
% 14.60/4.45 (c_insert @ (c_Message_Omsg_ONonce @ v_NA) @
% 14.60/4.45 (c_Message_Oparts @
% 14.60/4.45 (c_insert @
% 14.60/4.45 (c_Message_Omsg_OMPair @ (c_Message_Omsg_ONonce @ v_NB) @
% 14.60/4.45 (c_Message_Omsg_OMPair @ (c_Message_Omsg_OAgent @ v_Aa) @
% 14.60/4.45 (c_Message_Omsg_OAgent @ v_B))) @
% 14.60/4.45 (c_Event_Oknows @ c_Message_Oagent_OSpy @ v_evs2) @
% 14.60/4.45 tc_Message_Omsg)) @
% 14.60/4.45 tc_Message_Omsg) @
% 14.60/4.45 tc_Message_Omsg)))),
% 14.60/4.45 inference('split', [status(esa)], [zip_derived_cl6134])).
% 14.60/4.45 thf(zip_derived_cl29, plain,
% 14.60/4.45 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 14.60/4.45 (~ (c_in @ X0 @ (c_insert @ X1 @ X2 @ X3) @ X3)
% 14.60/4.45 | (c_in @ X0 @ X2 @ X3)
% 14.60/4.45 | ((X0) = (X1)))),
% 14.60/4.45 inference('cnf', [status(esa)], [cls_Set_Oinsert__iff_0])).
% 14.60/4.45 thf(zip_derived_cl6139, plain,
% 14.60/4.45 ((( (c_in @ (c_Message_Omsg_OKey @ (c_Public_OshrK @ v_A)) @
% 14.60/4.45 (c_Message_Oparts @
% 14.60/4.45 (c_insert @
% 14.60/4.45 (c_Message_Omsg_OMPair @ (c_Message_Omsg_ONonce @ v_NB) @
% 14.60/4.45 (c_Message_Omsg_OMPair @ (c_Message_Omsg_OAgent @ v_Aa) @
% 14.60/4.45 (c_Message_Omsg_OAgent @ v_B))) @
% 14.60/4.45 (c_Event_Oknows @ c_Message_Oagent_OSpy @ v_evs2) @
% 14.60/4.45 tc_Message_Omsg)) @
% 14.60/4.45 tc_Message_Omsg)
% 14.60/4.45 | ((c_Message_Omsg_OKey @ (c_Public_OshrK @ v_A))
% 14.60/4.45 = (c_Message_Omsg_ONonce @ v_NA))))
% 14.60/4.45 <= (( (c_in @ (c_Message_Omsg_OKey @ (c_Public_OshrK @ v_A)) @
% 14.60/4.45 (c_insert @ (c_Message_Omsg_ONonce @ v_NA) @
% 14.60/4.45 (c_Message_Oparts @
% 14.60/4.45 (c_insert @
% 14.60/4.45 (c_Message_Omsg_OMPair @ (c_Message_Omsg_ONonce @ v_NB) @
% 14.60/4.45 (c_Message_Omsg_OMPair @ (c_Message_Omsg_OAgent @ v_Aa) @
% 14.60/4.45 (c_Message_Omsg_OAgent @ v_B))) @
% 14.60/4.45 (c_Event_Oknows @ c_Message_Oagent_OSpy @ v_evs2) @
% 14.60/4.45 tc_Message_Omsg)) @
% 14.60/4.45 tc_Message_Omsg) @
% 14.60/4.45 tc_Message_Omsg)))),
% 14.60/4.45 inference('s_sup-', [status(thm)], [zip_derived_cl6137, zip_derived_cl29])).
% 14.60/4.45 thf(zip_derived_cl6285, plain,
% 14.60/4.45 ((((c_Message_Omsg_OKey @ (c_Public_OshrK @ v_A))
% 14.60/4.45 = (c_Message_Omsg_ONonce @ v_NA)))
% 14.60/4.45 <= ((((c_Message_Omsg_OKey @ (c_Public_OshrK @ v_A))
% 14.60/4.45 = (c_Message_Omsg_ONonce @ v_NA))))),
% 14.60/4.45 inference('split', [status(esa)], [zip_derived_cl6139])).
% 14.60/4.45 thf(zip_derived_cl25, plain,
% 14.60/4.45 (![X0 : $i, X1 : $i]:
% 14.60/4.45 (c_in @ (c_Message_Omsg_OKey @ (c_Public_OshrK @ X0)) @
% 14.60/4.45 (c_Event_Oused @ X1) @ tc_Message_Omsg)),
% 14.60/4.45 inference('cnf', [status(esa)], [cls_Public_OshrK__in__used_0])).
% 14.60/4.45 thf(zip_derived_cl6294, plain,
% 14.60/4.45 ((![X0 : $i]:
% 14.60/4.45 (c_in @ (c_Message_Omsg_ONonce @ v_NA) @ (c_Event_Oused @ X0) @
% 14.60/4.45 tc_Message_Omsg))
% 14.60/4.45 <= ((((c_Message_Omsg_OKey @ (c_Public_OshrK @ v_A))
% 14.60/4.45 = (c_Message_Omsg_ONonce @ v_NA))))),
% 14.60/4.45 inference('s_sup+', [status(thm)], [zip_derived_cl6285, zip_derived_cl25])).
% 14.60/4.45 thf(zip_derived_cl22, plain,
% 14.60/4.45 (![X0 : $i]:
% 14.60/4.45 ~ (c_in @ (c_Message_Omsg_ONonce @ X0) @
% 14.60/4.45 (c_Event_Oused @ c_List_Olist_ONil) @ tc_Message_Omsg)),
% 14.60/4.45 inference('cnf', [status(esa)], [cls_Public_ONonce__notin__used__empty_0])).
% 14.60/4.45 thf('4', plain,
% 14.60/4.45 (~
% 14.60/4.45 (((c_Message_Omsg_OKey @ (c_Public_OshrK @ v_A))
% 14.60/4.45 = (c_Message_Omsg_ONonce @ v_NA)))),
% 14.60/4.45 inference('s_sup-', [status(thm)], [zip_derived_cl6294, zip_derived_cl22])).
% 14.60/4.45 thf(zip_derived_cl6284, plain,
% 14.60/4.45 (( (c_in @ (c_Message_Omsg_OKey @ (c_Public_OshrK @ v_A)) @
% 14.60/4.45 (c_Message_Oparts @
% 14.60/4.45 (c_insert @
% 14.60/4.45 (c_Message_Omsg_OMPair @ (c_Message_Omsg_ONonce @ v_NB) @
% 14.60/4.45 (c_Message_Omsg_OMPair @ (c_Message_Omsg_OAgent @ v_Aa) @
% 14.60/4.45 (c_Message_Omsg_OAgent @ v_B))) @
% 14.60/4.45 (c_Event_Oknows @ c_Message_Oagent_OSpy @ v_evs2) @ tc_Message_Omsg)) @
% 14.60/4.45 tc_Message_Omsg))
% 14.60/4.45 <= (( (c_in @ (c_Message_Omsg_OKey @ (c_Public_OshrK @ v_A)) @
% 14.60/4.45 (c_Message_Oparts @
% 14.60/4.45 (c_insert @
% 14.60/4.45 (c_Message_Omsg_OMPair @ (c_Message_Omsg_ONonce @ v_NB) @
% 14.60/4.45 (c_Message_Omsg_OMPair @ (c_Message_Omsg_OAgent @ v_Aa) @
% 14.60/4.45 (c_Message_Omsg_OAgent @ v_B))) @
% 14.60/4.45 (c_Event_Oknows @ c_Message_Oagent_OSpy @ v_evs2) @
% 14.60/4.45 tc_Message_Omsg)) @
% 14.60/4.45 tc_Message_Omsg)))),
% 14.60/4.45 inference('split', [status(esa)], [zip_derived_cl6139])).
% 14.60/4.45 thf(zip_derived_cl204, plain,
% 14.60/4.45 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 14.60/4.45 (~ (c_in @ X3 @
% 14.60/4.45 (c_Message_Oparts @
% 14.60/4.45 (c_insert @ (c_Message_Omsg_OMPair @ X2 @ X1) @ X0 @
% 14.60/4.45 tc_Message_Omsg)) @
% 14.60/4.45 tc_Message_Omsg)
% 14.60/4.45 | (c_in @ X3 @
% 14.60/4.45 (c_Message_Oparts @
% 14.60/4.45 (c_insert @ X2 @ (c_insert @ X1 @ X0 @ tc_Message_Omsg) @
% 14.60/4.45 tc_Message_Omsg)) @
% 14.60/4.45 tc_Message_Omsg)
% 14.60/4.45 | ((X3) = (c_Message_Omsg_OMPair @ X2 @ X1)))),
% 14.60/4.45 inference('s_sup-', [status(thm)], [zip_derived_cl14, zip_derived_cl29])).
% 14.60/4.45 thf(zip_derived_cl6286, plain,
% 14.60/4.45 ((( (c_in @ (c_Message_Omsg_OKey @ (c_Public_OshrK @ v_A)) @
% 14.60/4.45 (c_Message_Oparts @
% 14.60/4.45 (c_insert @ (c_Message_Omsg_ONonce @ v_NB) @
% 14.60/4.45 (c_insert @
% 14.60/4.45 (c_Message_Omsg_OMPair @ (c_Message_Omsg_OAgent @ v_Aa) @
% 14.60/4.45 (c_Message_Omsg_OAgent @ v_B)) @
% 14.60/4.45 (c_Event_Oknows @ c_Message_Oagent_OSpy @ v_evs2) @
% 14.60/4.45 tc_Message_Omsg) @
% 14.60/4.45 tc_Message_Omsg)) @
% 14.60/4.45 tc_Message_Omsg)
% 14.60/4.45 | ((c_Message_Omsg_OKey @ (c_Public_OshrK @ v_A))
% 14.60/4.45 = (c_Message_Omsg_OMPair @ (c_Message_Omsg_ONonce @ v_NB) @
% 14.60/4.45 (c_Message_Omsg_OMPair @ (c_Message_Omsg_OAgent @ v_Aa) @
% 14.60/4.45 (c_Message_Omsg_OAgent @ v_B))))))
% 14.60/4.45 <= (( (c_in @ (c_Message_Omsg_OKey @ (c_Public_OshrK @ v_A)) @
% 14.60/4.45 (c_Message_Oparts @
% 14.60/4.45 (c_insert @
% 14.60/4.45 (c_Message_Omsg_OMPair @ (c_Message_Omsg_ONonce @ v_NB) @
% 14.60/4.45 (c_Message_Omsg_OMPair @ (c_Message_Omsg_OAgent @ v_Aa) @
% 14.60/4.45 (c_Message_Omsg_OAgent @ v_B))) @
% 14.60/4.45 (c_Event_Oknows @ c_Message_Oagent_OSpy @ v_evs2) @
% 14.60/4.45 tc_Message_Omsg)) @
% 14.60/4.45 tc_Message_Omsg)))),
% 14.60/4.45 inference('s_sup-', [status(thm)],
% 14.60/4.45 [zip_derived_cl6284, zip_derived_cl204])).
% 14.60/4.45 thf(zip_derived_cl15, plain,
% 14.60/4.45 (![X0 : $i, X1 : $i]:
% 14.60/4.45 ((c_Message_Oparts @
% 14.60/4.45 (c_insert @ (c_Message_Omsg_ONonce @ X0) @ X1 @ tc_Message_Omsg))
% 14.60/4.45 = (c_insert @ (c_Message_Omsg_ONonce @ X0) @
% 14.60/4.45 (c_Message_Oparts @ X1) @ tc_Message_Omsg))),
% 14.60/4.45 inference('cnf', [status(esa)], [cls_Message_Oparts__insert__Nonce_0])).
% 14.60/4.45 thf(zip_derived_cl6289, plain,
% 14.60/4.45 ((( (c_in @ (c_Message_Omsg_OKey @ (c_Public_OshrK @ v_A)) @
% 14.60/4.45 (c_insert @ (c_Message_Omsg_ONonce @ v_NB) @
% 14.60/4.45 (c_Message_Oparts @
% 14.60/4.45 (c_insert @
% 14.60/4.45 (c_Message_Omsg_OMPair @ (c_Message_Omsg_OAgent @ v_Aa) @
% 14.60/4.45 (c_Message_Omsg_OAgent @ v_B)) @
% 14.60/4.45 (c_Event_Oknows @ c_Message_Oagent_OSpy @ v_evs2) @
% 14.60/4.45 tc_Message_Omsg)) @
% 14.60/4.45 tc_Message_Omsg) @
% 14.60/4.45 tc_Message_Omsg)
% 14.60/4.45 | ((c_Message_Omsg_OKey @ (c_Public_OshrK @ v_A))
% 14.60/4.45 = (c_Message_Omsg_OMPair @ (c_Message_Omsg_ONonce @ v_NB) @
% 14.60/4.45 (c_Message_Omsg_OMPair @ (c_Message_Omsg_OAgent @ v_Aa) @
% 14.60/4.45 (c_Message_Omsg_OAgent @ v_B))))))
% 14.60/4.45 <= (( (c_in @ (c_Message_Omsg_OKey @ (c_Public_OshrK @ v_A)) @
% 14.60/4.45 (c_Message_Oparts @
% 14.60/4.45 (c_insert @
% 14.60/4.45 (c_Message_Omsg_OMPair @ (c_Message_Omsg_ONonce @ v_NB) @
% 14.60/4.45 (c_Message_Omsg_OMPair @ (c_Message_Omsg_OAgent @ v_Aa) @
% 14.60/4.45 (c_Message_Omsg_OAgent @ v_B))) @
% 14.60/4.45 (c_Event_Oknows @ c_Message_Oagent_OSpy @ v_evs2) @
% 14.60/4.45 tc_Message_Omsg)) @
% 14.60/4.45 tc_Message_Omsg)))),
% 14.60/4.45 inference('demod', [status(thm)], [zip_derived_cl6286, zip_derived_cl15])).
% 14.60/4.45 thf(zip_derived_cl6363, plain,
% 14.60/4.45 ((((c_Message_Omsg_OKey @ (c_Public_OshrK @ v_A))
% 14.60/4.45 = (c_Message_Omsg_OMPair @ (c_Message_Omsg_ONonce @ v_NB) @
% 14.60/4.45 (c_Message_Omsg_OMPair @ (c_Message_Omsg_OAgent @ v_Aa) @
% 14.60/4.45 (c_Message_Omsg_OAgent @ v_B)))))
% 14.60/4.45 <= ((((c_Message_Omsg_OKey @ (c_Public_OshrK @ v_A))
% 14.60/4.45 = (c_Message_Omsg_OMPair @ (c_Message_Omsg_ONonce @ v_NB) @
% 14.60/4.45 (c_Message_Omsg_OMPair @ (c_Message_Omsg_OAgent @ v_Aa) @
% 14.60/4.45 (c_Message_Omsg_OAgent @ v_B))))))),
% 14.60/4.45 inference('split', [status(esa)], [zip_derived_cl6289])).
% 14.60/4.45 thf(zip_derived_cl20, plain,
% 14.60/4.45 (![X0 : $i, X1 : $i, X2 : $i]:
% 14.60/4.45 (~ (c_in @ (c_Message_Omsg_OMPair @ X0 @ X1) @ (c_Event_Oused @ X2) @
% 14.60/4.45 tc_Message_Omsg)
% 14.60/4.45 | (c_in @ X0 @ (c_Event_Oused @ X2) @ tc_Message_Omsg))),
% 14.60/4.45 inference('cnf', [status(esa)], [cls_Public_OMPair__used_1])).
% 14.60/4.45 thf(zip_derived_cl6372, plain,
% 14.60/4.45 ((![X0 : $i]:
% 14.60/4.45 (~ (c_in @ (c_Message_Omsg_OKey @ (c_Public_OshrK @ v_A)) @
% 14.60/4.45 (c_Event_Oused @ X0) @ tc_Message_Omsg)
% 14.60/4.45 | (c_in @ (c_Message_Omsg_ONonce @ v_NB) @ (c_Event_Oused @ X0) @
% 14.60/4.45 tc_Message_Omsg)))
% 14.60/4.45 <= ((((c_Message_Omsg_OKey @ (c_Public_OshrK @ v_A))
% 14.60/4.45 = (c_Message_Omsg_OMPair @ (c_Message_Omsg_ONonce @ v_NB) @
% 14.60/4.45 (c_Message_Omsg_OMPair @ (c_Message_Omsg_OAgent @ v_Aa) @
% 14.60/4.45 (c_Message_Omsg_OAgent @ v_B))))))),
% 14.60/4.45 inference('s_sup-', [status(thm)], [zip_derived_cl6363, zip_derived_cl20])).
% 14.60/4.45 thf(zip_derived_cl25, plain,
% 14.60/4.45 (![X0 : $i, X1 : $i]:
% 14.60/4.45 (c_in @ (c_Message_Omsg_OKey @ (c_Public_OshrK @ X0)) @
% 14.60/4.45 (c_Event_Oused @ X1) @ tc_Message_Omsg)),
% 14.60/4.45 inference('cnf', [status(esa)], [cls_Public_OshrK__in__used_0])).
% 14.60/4.45 thf(zip_derived_cl6430, plain,
% 14.60/4.45 ((![X0 : $i]:
% 14.60/4.45 (c_in @ (c_Message_Omsg_ONonce @ v_NB) @ (c_Event_Oused @ X0) @
% 14.60/4.45 tc_Message_Omsg))
% 14.60/4.45 <= ((((c_Message_Omsg_OKey @ (c_Public_OshrK @ v_A))
% 14.60/4.45 = (c_Message_Omsg_OMPair @ (c_Message_Omsg_ONonce @ v_NB) @
% 14.60/4.45 (c_Message_Omsg_OMPair @ (c_Message_Omsg_OAgent @ v_Aa) @
% 14.60/4.45 (c_Message_Omsg_OAgent @ v_B))))))),
% 14.60/4.45 inference('demod', [status(thm)], [zip_derived_cl6372, zip_derived_cl25])).
% 14.60/4.45 thf(zip_derived_cl22, plain,
% 14.60/4.45 (![X0 : $i]:
% 14.60/4.45 ~ (c_in @ (c_Message_Omsg_ONonce @ X0) @
% 14.60/4.45 (c_Event_Oused @ c_List_Olist_ONil) @ tc_Message_Omsg)),
% 14.60/4.45 inference('cnf', [status(esa)], [cls_Public_ONonce__notin__used__empty_0])).
% 14.60/4.45 thf('5', plain,
% 14.60/4.45 (~
% 14.60/4.45 (((c_Message_Omsg_OKey @ (c_Public_OshrK @ v_A))
% 14.60/4.45 = (c_Message_Omsg_OMPair @ (c_Message_Omsg_ONonce @ v_NB) @
% 14.60/4.45 (c_Message_Omsg_OMPair @ (c_Message_Omsg_OAgent @ v_Aa) @
% 14.60/4.45 (c_Message_Omsg_OAgent @ v_B)))))),
% 14.60/4.45 inference('s_sup-', [status(thm)], [zip_derived_cl6430, zip_derived_cl22])).
% 14.60/4.45 thf(zip_derived_cl6362, plain,
% 14.60/4.45 (( (c_in @ (c_Message_Omsg_OKey @ (c_Public_OshrK @ v_A)) @
% 14.60/4.45 (c_insert @ (c_Message_Omsg_ONonce @ v_NB) @
% 14.60/4.45 (c_Message_Oparts @
% 14.60/4.45 (c_insert @
% 14.60/4.45 (c_Message_Omsg_OMPair @ (c_Message_Omsg_OAgent @ v_Aa) @
% 14.60/4.45 (c_Message_Omsg_OAgent @ v_B)) @
% 14.60/4.45 (c_Event_Oknows @ c_Message_Oagent_OSpy @ v_evs2) @
% 14.60/4.45 tc_Message_Omsg)) @
% 14.60/4.45 tc_Message_Omsg) @
% 14.60/4.45 tc_Message_Omsg))
% 14.60/4.45 <= (( (c_in @ (c_Message_Omsg_OKey @ (c_Public_OshrK @ v_A)) @
% 14.60/4.45 (c_insert @ (c_Message_Omsg_ONonce @ v_NB) @
% 14.60/4.45 (c_Message_Oparts @
% 14.60/4.45 (c_insert @
% 14.60/4.45 (c_Message_Omsg_OMPair @ (c_Message_Omsg_OAgent @ v_Aa) @
% 14.60/4.45 (c_Message_Omsg_OAgent @ v_B)) @
% 14.60/4.45 (c_Event_Oknows @ c_Message_Oagent_OSpy @ v_evs2) @
% 14.60/4.45 tc_Message_Omsg)) @
% 14.60/4.45 tc_Message_Omsg) @
% 14.60/4.45 tc_Message_Omsg)))),
% 14.60/4.45 inference('split', [status(esa)], [zip_derived_cl6289])).
% 14.60/4.45 thf(zip_derived_cl29, plain,
% 14.60/4.45 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 14.60/4.45 (~ (c_in @ X0 @ (c_insert @ X1 @ X2 @ X3) @ X3)
% 14.60/4.45 | (c_in @ X0 @ X2 @ X3)
% 14.60/4.45 | ((X0) = (X1)))),
% 14.60/4.45 inference('cnf', [status(esa)], [cls_Set_Oinsert__iff_0])).
% 14.60/4.45 thf(zip_derived_cl6364, plain,
% 14.60/4.45 ((( (c_in @ (c_Message_Omsg_OKey @ (c_Public_OshrK @ v_A)) @
% 14.60/4.45 (c_Message_Oparts @
% 14.60/4.45 (c_insert @
% 14.60/4.45 (c_Message_Omsg_OMPair @ (c_Message_Omsg_OAgent @ v_Aa) @
% 14.60/4.45 (c_Message_Omsg_OAgent @ v_B)) @
% 14.60/4.45 (c_Event_Oknows @ c_Message_Oagent_OSpy @ v_evs2) @
% 14.60/4.45 tc_Message_Omsg)) @
% 14.60/4.45 tc_Message_Omsg)
% 14.60/4.45 | ((c_Message_Omsg_OKey @ (c_Public_OshrK @ v_A))
% 14.60/4.45 = (c_Message_Omsg_ONonce @ v_NB))))
% 14.60/4.45 <= (( (c_in @ (c_Message_Omsg_OKey @ (c_Public_OshrK @ v_A)) @
% 14.60/4.45 (c_insert @ (c_Message_Omsg_ONonce @ v_NB) @
% 14.60/4.45 (c_Message_Oparts @
% 14.60/4.45 (c_insert @
% 14.60/4.45 (c_Message_Omsg_OMPair @ (c_Message_Omsg_OAgent @ v_Aa) @
% 14.60/4.45 (c_Message_Omsg_OAgent @ v_B)) @
% 14.60/4.45 (c_Event_Oknows @ c_Message_Oagent_OSpy @ v_evs2) @
% 14.60/4.45 tc_Message_Omsg)) @
% 14.60/4.45 tc_Message_Omsg) @
% 14.60/4.45 tc_Message_Omsg)))),
% 14.60/4.45 inference('s_sup-', [status(thm)], [zip_derived_cl6362, zip_derived_cl29])).
% 14.60/4.45 thf(zip_derived_cl6519, plain,
% 14.60/4.45 ((((c_Message_Omsg_OKey @ (c_Public_OshrK @ v_A))
% 14.60/4.45 = (c_Message_Omsg_ONonce @ v_NB)))
% 14.60/4.45 <= ((((c_Message_Omsg_OKey @ (c_Public_OshrK @ v_A))
% 14.60/4.45 = (c_Message_Omsg_ONonce @ v_NB))))),
% 14.60/4.45 inference('split', [status(esa)], [zip_derived_cl6364])).
% 14.60/4.45 thf(cls_Public_OshrK__in__initState_0, axiom,
% 14.60/4.45 (c_in @
% 14.60/4.45 ( c_Message_Omsg_OKey @ ( c_Public_OshrK @ V_A ) ) @
% 14.60/4.45 ( c_Event_OinitState @ V_A ) @ tc_Message_Omsg)).
% 14.60/4.45 thf(zip_derived_cl24, plain,
% 14.60/4.45 (![X0 : $i]:
% 14.60/4.45 (c_in @ (c_Message_Omsg_OKey @ (c_Public_OshrK @ X0)) @
% 14.60/4.45 (c_Event_OinitState @ X0) @ tc_Message_Omsg)),
% 14.60/4.45 inference('cnf', [status(esa)], [cls_Public_OshrK__in__initState_0])).
% 14.60/4.45 thf(zip_derived_cl6527, plain,
% 14.60/4.45 (( (c_in @ (c_Message_Omsg_ONonce @ v_NB) @ (c_Event_OinitState @ v_A) @
% 14.60/4.45 tc_Message_Omsg))
% 14.60/4.45 <= ((((c_Message_Omsg_OKey @ (c_Public_OshrK @ v_A))
% 14.60/4.45 = (c_Message_Omsg_ONonce @ v_NB))))),
% 14.60/4.45 inference('s_sup+', [status(thm)], [zip_derived_cl6519, zip_derived_cl24])).
% 14.60/4.45 thf(zip_derived_cl7, plain,
% 14.60/4.45 (![X0 : $i, X1 : $i]:
% 14.60/4.45 (~ (c_in @ X0 @ X1 @ tc_Message_Omsg)
% 14.60/4.45 | (c_in @ X0 @ (c_Message_Oparts @ X1) @ tc_Message_Omsg))),
% 14.60/4.45 inference('cnf', [status(esa)], [cls_Message_Oparts_OInj_0])).
% 14.60/4.45 thf(cls_Public_ONonce__notin__initState_0, axiom,
% 14.60/4.45 (~( c_in @
% 14.60/4.45 ( c_Message_Omsg_ONonce @ V_N ) @
% 14.60/4.45 ( c_Message_Oparts @ ( c_Event_OinitState @ V_B ) ) @ tc_Message_Omsg ))).
% 14.60/4.45 thf(zip_derived_cl21, plain,
% 14.60/4.45 (![X0 : $i, X1 : $i]:
% 14.60/4.45 ~ (c_in @ (c_Message_Omsg_ONonce @ X0) @
% 14.60/4.45 (c_Message_Oparts @ (c_Event_OinitState @ X1)) @ tc_Message_Omsg)),
% 14.60/4.45 inference('cnf', [status(esa)], [cls_Public_ONonce__notin__initState_0])).
% 14.60/4.45 thf(zip_derived_cl60, plain,
% 14.60/4.45 (![X0 : $i, X1 : $i]:
% 14.60/4.45 ~ (c_in @ (c_Message_Omsg_ONonce @ X1) @ (c_Event_OinitState @ X0) @
% 14.60/4.45 tc_Message_Omsg)),
% 14.60/4.45 inference('s_sup-', [status(thm)], [zip_derived_cl7, zip_derived_cl21])).
% 14.60/4.45 thf('6', plain,
% 14.60/4.45 (~
% 14.60/4.45 (((c_Message_Omsg_OKey @ (c_Public_OshrK @ v_A))
% 14.60/4.45 = (c_Message_Omsg_ONonce @ v_NB)))),
% 14.60/4.45 inference('s_sup-', [status(thm)], [zip_derived_cl6527, zip_derived_cl60])).
% 14.60/4.45 thf(zip_derived_cl6518, plain,
% 14.60/4.45 (( (c_in @ (c_Message_Omsg_OKey @ (c_Public_OshrK @ v_A)) @
% 14.60/4.45 (c_Message_Oparts @
% 14.60/4.45 (c_insert @
% 14.60/4.45 (c_Message_Omsg_OMPair @ (c_Message_Omsg_OAgent @ v_Aa) @
% 14.60/4.45 (c_Message_Omsg_OAgent @ v_B)) @
% 14.60/4.45 (c_Event_Oknows @ c_Message_Oagent_OSpy @ v_evs2) @ tc_Message_Omsg)) @
% 14.60/4.45 tc_Message_Omsg))
% 14.60/4.45 <= (( (c_in @ (c_Message_Omsg_OKey @ (c_Public_OshrK @ v_A)) @
% 14.60/4.45 (c_Message_Oparts @
% 14.60/4.45 (c_insert @
% 14.60/4.45 (c_Message_Omsg_OMPair @ (c_Message_Omsg_OAgent @ v_Aa) @
% 14.60/4.45 (c_Message_Omsg_OAgent @ v_B)) @
% 14.60/4.45 (c_Event_Oknows @ c_Message_Oagent_OSpy @ v_evs2) @
% 14.60/4.45 tc_Message_Omsg)) @
% 14.60/4.45 tc_Message_Omsg)))),
% 14.60/4.45 inference('split', [status(esa)], [zip_derived_cl6364])).
% 14.60/4.45 thf(zip_derived_cl204, plain,
% 14.60/4.45 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 14.60/4.45 (~ (c_in @ X3 @
% 14.60/4.45 (c_Message_Oparts @
% 14.60/4.45 (c_insert @ (c_Message_Omsg_OMPair @ X2 @ X1) @ X0 @
% 14.60/4.45 tc_Message_Omsg)) @
% 14.60/4.45 tc_Message_Omsg)
% 14.60/4.45 | (c_in @ X3 @
% 14.60/4.45 (c_Message_Oparts @
% 14.60/4.45 (c_insert @ X2 @ (c_insert @ X1 @ X0 @ tc_Message_Omsg) @
% 14.60/4.45 tc_Message_Omsg)) @
% 14.60/4.45 tc_Message_Omsg)
% 14.60/4.45 | ((X3) = (c_Message_Omsg_OMPair @ X2 @ X1)))),
% 14.60/4.45 inference('s_sup-', [status(thm)], [zip_derived_cl14, zip_derived_cl29])).
% 14.60/4.45 thf(zip_derived_cl6520, plain,
% 14.60/4.45 ((( (c_in @ (c_Message_Omsg_OKey @ (c_Public_OshrK @ v_A)) @
% 14.60/4.45 (c_Message_Oparts @
% 14.60/4.45 (c_insert @ (c_Message_Omsg_OAgent @ v_Aa) @
% 14.60/4.45 (c_insert @ (c_Message_Omsg_OAgent @ v_B) @
% 14.60/4.45 (c_Event_Oknows @ c_Message_Oagent_OSpy @ v_evs2) @
% 14.60/4.45 tc_Message_Omsg) @
% 14.60/4.45 tc_Message_Omsg)) @
% 14.60/4.45 tc_Message_Omsg)
% 14.60/4.45 | ((c_Message_Omsg_OKey @ (c_Public_OshrK @ v_A))
% 14.60/4.45 = (c_Message_Omsg_OMPair @ (c_Message_Omsg_OAgent @ v_Aa) @
% 14.60/4.45 (c_Message_Omsg_OAgent @ v_B)))))
% 14.60/4.45 <= (( (c_in @ (c_Message_Omsg_OKey @ (c_Public_OshrK @ v_A)) @
% 14.60/4.45 (c_Message_Oparts @
% 14.60/4.45 (c_insert @
% 14.60/4.45 (c_Message_Omsg_OMPair @ (c_Message_Omsg_OAgent @ v_Aa) @
% 14.60/4.45 (c_Message_Omsg_OAgent @ v_B)) @
% 14.60/4.45 (c_Event_Oknows @ c_Message_Oagent_OSpy @ v_evs2) @
% 14.60/4.45 tc_Message_Omsg)) @
% 14.60/4.45 tc_Message_Omsg)))),
% 14.60/4.45 inference('s_sup-', [status(thm)],
% 14.60/4.45 [zip_derived_cl6518, zip_derived_cl204])).
% 14.60/4.45 thf(zip_derived_cl12, plain,
% 14.60/4.45 (![X0 : $i, X1 : $i]:
% 14.60/4.45 ((c_Message_Oparts @
% 14.60/4.45 (c_insert @ (c_Message_Omsg_OAgent @ X0) @ X1 @ tc_Message_Omsg))
% 14.60/4.45 = (c_insert @ (c_Message_Omsg_OAgent @ X0) @
% 14.60/4.45 (c_Message_Oparts @ X1) @ tc_Message_Omsg))),
% 14.60/4.45 inference('cnf', [status(esa)], [cls_Message_Oparts__insert__Agent_0])).
% 14.60/4.45 thf(zip_derived_cl12, plain,
% 14.60/4.45 (![X0 : $i, X1 : $i]:
% 14.60/4.45 ((c_Message_Oparts @
% 14.60/4.45 (c_insert @ (c_Message_Omsg_OAgent @ X0) @ X1 @ tc_Message_Omsg))
% 14.60/4.45 = (c_insert @ (c_Message_Omsg_OAgent @ X0) @
% 14.60/4.45 (c_Message_Oparts @ X1) @ tc_Message_Omsg))),
% 14.60/4.45 inference('cnf', [status(esa)], [cls_Message_Oparts__insert__Agent_0])).
% 14.60/4.45 thf(zip_derived_cl6523, plain,
% 14.60/4.45 ((( (c_in @ (c_Message_Omsg_OKey @ (c_Public_OshrK @ v_A)) @
% 14.60/4.45 (c_insert @ (c_Message_Omsg_OAgent @ v_Aa) @
% 14.60/4.45 (c_insert @ (c_Message_Omsg_OAgent @ v_B) @
% 14.60/4.45 (c_Message_Oparts @
% 14.60/4.45 (c_Event_Oknows @ c_Message_Oagent_OSpy @ v_evs2)) @
% 14.60/4.45 tc_Message_Omsg) @
% 14.60/4.45 tc_Message_Omsg) @
% 14.60/4.45 tc_Message_Omsg)
% 14.60/4.45 | ((c_Message_Omsg_OKey @ (c_Public_OshrK @ v_A))
% 14.60/4.45 = (c_Message_Omsg_OMPair @ (c_Message_Omsg_OAgent @ v_Aa) @
% 14.60/4.45 (c_Message_Omsg_OAgent @ v_B)))))
% 14.60/4.45 <= (( (c_in @ (c_Message_Omsg_OKey @ (c_Public_OshrK @ v_A)) @
% 14.60/4.45 (c_Message_Oparts @
% 14.60/4.45 (c_insert @
% 14.60/4.45 (c_Message_Omsg_OMPair @ (c_Message_Omsg_OAgent @ v_Aa) @
% 14.60/4.45 (c_Message_Omsg_OAgent @ v_B)) @
% 14.60/4.45 (c_Event_Oknows @ c_Message_Oagent_OSpy @ v_evs2) @
% 14.60/4.45 tc_Message_Omsg)) @
% 14.60/4.45 tc_Message_Omsg)))),
% 14.60/4.45 inference('demod', [status(thm)],
% 14.60/4.45 [zip_derived_cl6520, zip_derived_cl12, zip_derived_cl12])).
% 14.60/4.45 thf(zip_derived_cl8129, plain,
% 14.60/4.45 ((((c_Message_Omsg_OKey @ (c_Public_OshrK @ v_A))
% 14.60/4.45 = (c_Message_Omsg_OMPair @ (c_Message_Omsg_OAgent @ v_Aa) @
% 14.60/4.45 (c_Message_Omsg_OAgent @ v_B))))
% 14.60/4.45 <= ((((c_Message_Omsg_OKey @ (c_Public_OshrK @ v_A))
% 14.60/4.45 = (c_Message_Omsg_OMPair @ (c_Message_Omsg_OAgent @ v_Aa) @
% 14.60/4.45 (c_Message_Omsg_OAgent @ v_B)))))),
% 14.60/4.45 inference('split', [status(esa)], [zip_derived_cl6523])).
% 14.60/4.45 thf(cls_Message_Osynth_OMPair_0, axiom,
% 14.60/4.45 (( ~( c_in @ V_Y @ ( c_Message_Osynth @ V_H ) @ tc_Message_Omsg ) ) |
% 14.60/4.45 ( ~( c_in @ V_X @ ( c_Message_Osynth @ V_H ) @ tc_Message_Omsg ) ) |
% 14.60/4.45 ( c_in @
% 14.60/4.45 ( c_Message_Omsg_OMPair @ V_X @ V_Y ) @ ( c_Message_Osynth @ V_H ) @
% 14.60/4.45 tc_Message_Omsg ))).
% 14.60/4.45 thf(zip_derived_cl17, plain,
% 14.60/4.45 (![X0 : $i, X1 : $i, X2 : $i]:
% 14.60/4.45 (~ (c_in @ X0 @ (c_Message_Osynth @ X1) @ tc_Message_Omsg)
% 14.60/4.45 | ~ (c_in @ X2 @ (c_Message_Osynth @ X1) @ tc_Message_Omsg)
% 14.60/4.45 | (c_in @ (c_Message_Omsg_OMPair @ X2 @ X0) @
% 14.60/4.45 (c_Message_Osynth @ X1) @ tc_Message_Omsg))),
% 14.60/4.45 inference('cnf', [status(esa)], [cls_Message_Osynth_OMPair_0])).
% 14.60/4.45 thf(zip_derived_cl8142, plain,
% 14.60/4.45 ((![X0 : $i]:
% 14.60/4.45 (~ (c_in @ (c_Message_Omsg_OAgent @ v_B) @ (c_Message_Osynth @ X0) @
% 14.60/4.45 tc_Message_Omsg)
% 14.60/4.45 | ~ (c_in @ (c_Message_Omsg_OAgent @ v_Aa) @
% 14.60/4.45 (c_Message_Osynth @ X0) @ tc_Message_Omsg)
% 14.60/4.45 | (c_in @ (c_Message_Omsg_OKey @ (c_Public_OshrK @ v_A)) @
% 14.60/4.45 (c_Message_Osynth @ X0) @ tc_Message_Omsg)))
% 14.60/4.45 <= ((((c_Message_Omsg_OKey @ (c_Public_OshrK @ v_A))
% 14.60/4.45 = (c_Message_Omsg_OMPair @ (c_Message_Omsg_OAgent @ v_Aa) @
% 14.60/4.45 (c_Message_Omsg_OAgent @ v_B)))))),
% 14.60/4.45 inference('s_sup+', [status(thm)], [zip_derived_cl8129, zip_derived_cl17])).
% 14.60/4.45 thf(cls_Message_OAgent__synth_0, axiom,
% 14.60/4.45 (c_in @
% 14.60/4.45 ( c_Message_Omsg_OAgent @ V_A ) @ ( c_Message_Osynth @ V_H ) @
% 14.60/4.45 tc_Message_Omsg)).
% 14.60/4.45 thf(zip_derived_cl1, plain,
% 14.60/4.45 (![X0 : $i, X1 : $i]:
% 14.60/4.45 (c_in @ (c_Message_Omsg_OAgent @ X0) @ (c_Message_Osynth @ X1) @
% 14.60/4.45 tc_Message_Omsg)),
% 14.60/4.45 inference('cnf', [status(esa)], [cls_Message_OAgent__synth_0])).
% 14.60/4.45 thf(zip_derived_cl1, plain,
% 14.60/4.45 (![X0 : $i, X1 : $i]:
% 14.60/4.45 (c_in @ (c_Message_Omsg_OAgent @ X0) @ (c_Message_Osynth @ X1) @
% 14.60/4.45 tc_Message_Omsg)),
% 14.60/4.45 inference('cnf', [status(esa)], [cls_Message_OAgent__synth_0])).
% 14.60/4.45 thf(zip_derived_cl8229, plain,
% 14.60/4.45 ((![X0 : $i]:
% 14.60/4.45 (c_in @ (c_Message_Omsg_OKey @ (c_Public_OshrK @ v_A)) @
% 14.60/4.45 (c_Message_Osynth @ X0) @ tc_Message_Omsg))
% 14.60/4.45 <= ((((c_Message_Omsg_OKey @ (c_Public_OshrK @ v_A))
% 14.60/4.45 = (c_Message_Omsg_OMPair @ (c_Message_Omsg_OAgent @ v_Aa) @
% 14.60/4.45 (c_Message_Omsg_OAgent @ v_B)))))),
% 14.60/4.45 inference('demod', [status(thm)],
% 14.60/4.45 [zip_derived_cl8142, zip_derived_cl1, zip_derived_cl1])).
% 14.60/4.45 thf(cls_Message_OKey__synth__eq_0, axiom,
% 14.60/4.45 (( ~( c_in @
% 14.60/4.45 ( c_Message_Omsg_OKey @ V_K ) @ ( c_Message_Osynth @ V_H ) @
% 14.60/4.45 tc_Message_Omsg ) ) |
% 14.60/4.45 ( c_in @ ( c_Message_Omsg_OKey @ V_K ) @ V_H @ tc_Message_Omsg ))).
% 14.60/4.45 thf(zip_derived_cl3, plain,
% 14.60/4.45 (![X0 : $i, X1 : $i]:
% 14.60/4.45 (~ (c_in @ (c_Message_Omsg_OKey @ X0) @ (c_Message_Osynth @ X1) @
% 14.60/4.45 tc_Message_Omsg)
% 14.60/4.45 | (c_in @ (c_Message_Omsg_OKey @ X0) @ X1 @ tc_Message_Omsg))),
% 14.60/4.45 inference('cnf', [status(esa)], [cls_Message_OKey__synth__eq_0])).
% 14.60/4.45 thf(zip_derived_cl8511, plain,
% 14.60/4.45 ((![X0 : $i]:
% 14.60/4.45 (c_in @ (c_Message_Omsg_OKey @ (c_Public_OshrK @ v_A)) @ X0 @
% 14.60/4.45 tc_Message_Omsg))
% 14.60/4.45 <= ((((c_Message_Omsg_OKey @ (c_Public_OshrK @ v_A))
% 14.60/4.45 = (c_Message_Omsg_OMPair @ (c_Message_Omsg_OAgent @ v_Aa) @
% 14.60/4.45 (c_Message_Omsg_OAgent @ v_B)))))),
% 14.60/4.45 inference('s_sup-', [status(thm)], [zip_derived_cl8229, zip_derived_cl3])).
% 14.60/4.45 thf(zip_derived_cl7, plain,
% 14.60/4.45 (![X0 : $i, X1 : $i]:
% 14.60/4.45 (~ (c_in @ X0 @ X1 @ tc_Message_Omsg)
% 14.60/4.45 | (c_in @ X0 @ (c_Message_Oparts @ X1) @ tc_Message_Omsg))),
% 14.60/4.45 inference('cnf', [status(esa)], [cls_Message_Oparts_OInj_0])).
% 14.60/4.45 thf(zip_derived_cl38, plain,
% 14.60/4.45 ((~ (c_in @ (c_Message_Omsg_OKey @ (c_Public_OshrK @ v_A)) @
% 14.60/4.45 (c_Message_Oparts @
% 14.60/4.45 (c_Event_Oknows @ c_Message_Oagent_OSpy @ v_evs2)) @
% 14.60/4.45 tc_Message_Omsg))
% 14.60/4.45 <= (~
% 14.60/4.45 ( (c_in @ (c_Message_Omsg_OKey @ (c_Public_OshrK @ v_A)) @
% 14.60/4.45 (c_Message_Oparts @
% 14.60/4.45 (c_Event_Oknows @ c_Message_Oagent_OSpy @ v_evs2)) @
% 14.60/4.45 tc_Message_Omsg)))),
% 14.60/4.45 inference('split', [status(esa)], [zip_derived_cl34])).
% 14.60/4.45 thf(zip_derived_cl58, plain,
% 14.60/4.45 ((~ (c_in @ (c_Message_Omsg_OKey @ (c_Public_OshrK @ v_A)) @
% 14.60/4.45 (c_Event_Oknows @ c_Message_Oagent_OSpy @ v_evs2) @ tc_Message_Omsg))
% 14.60/4.45 <= (~
% 14.60/4.45 ( (c_in @ (c_Message_Omsg_OKey @ (c_Public_OshrK @ v_A)) @
% 14.60/4.45 (c_Message_Oparts @
% 14.60/4.45 (c_Event_Oknows @ c_Message_Oagent_OSpy @ v_evs2)) @
% 14.60/4.45 tc_Message_Omsg)))),
% 14.60/4.45 inference('s_sup-', [status(thm)], [zip_derived_cl7, zip_derived_cl38])).
% 14.60/4.45 thf('7', plain,
% 14.60/4.45 (~
% 14.60/4.45 ( (c_in @ (c_Message_Omsg_OKey @ (c_Public_OshrK @ v_A)) @
% 14.60/4.45 (c_Message_Oparts @ (c_Event_Oknows @ c_Message_Oagent_OSpy @ v_evs2)) @
% 14.60/4.45 tc_Message_Omsg)) |
% 14.60/4.45 ( (c_in @ v_A @ c_Event_Obad @ tc_Message_Oagent))),
% 14.60/4.45 inference('split', [status(esa)], [zip_derived_cl34])).
% 14.60/4.45 thf('8', plain,
% 14.60/4.45 (~
% 14.60/4.45 ( (c_in @ (c_Message_Omsg_OKey @ (c_Public_OshrK @ v_A)) @
% 14.60/4.45 (c_Message_Oparts @ (c_Event_Oknows @ c_Message_Oagent_OSpy @ v_evs2)) @
% 14.60/4.45 tc_Message_Omsg))),
% 14.60/4.45 inference('sat_resolution*', [status(thm)], ['0', '1', '7'])).
% 14.60/4.45 thf(zip_derived_cl3203, plain,
% 14.60/4.45 (~ (c_in @ (c_Message_Omsg_OKey @ (c_Public_OshrK @ v_A)) @
% 14.60/4.45 (c_Event_Oknows @ c_Message_Oagent_OSpy @ v_evs2) @ tc_Message_Omsg)),
% 14.60/4.45 inference('simpl_trail', [status(thm)], [zip_derived_cl58, '8'])).
% 14.60/4.45 thf('9', plain,
% 14.60/4.45 (~
% 14.60/4.45 (((c_Message_Omsg_OKey @ (c_Public_OshrK @ v_A))
% 14.60/4.45 = (c_Message_Omsg_OMPair @ (c_Message_Omsg_OAgent @ v_Aa) @
% 14.60/4.45 (c_Message_Omsg_OAgent @ v_B))))),
% 14.60/4.45 inference('s_sup-', [status(thm)],
% 14.60/4.45 [zip_derived_cl8511, zip_derived_cl3203])).
% 14.60/4.45 thf(zip_derived_cl8128, plain,
% 14.60/4.45 (( (c_in @ (c_Message_Omsg_OKey @ (c_Public_OshrK @ v_A)) @
% 14.60/4.45 (c_insert @ (c_Message_Omsg_OAgent @ v_Aa) @
% 14.60/4.45 (c_insert @ (c_Message_Omsg_OAgent @ v_B) @
% 14.60/4.45 (c_Message_Oparts @
% 14.60/4.45 (c_Event_Oknows @ c_Message_Oagent_OSpy @ v_evs2)) @
% 14.60/4.45 tc_Message_Omsg) @
% 14.60/4.45 tc_Message_Omsg) @
% 14.60/4.45 tc_Message_Omsg))
% 14.60/4.45 <= (( (c_in @ (c_Message_Omsg_OKey @ (c_Public_OshrK @ v_A)) @
% 14.60/4.45 (c_insert @ (c_Message_Omsg_OAgent @ v_Aa) @
% 14.60/4.45 (c_insert @ (c_Message_Omsg_OAgent @ v_B) @
% 14.60/4.45 (c_Message_Oparts @
% 14.60/4.45 (c_Event_Oknows @ c_Message_Oagent_OSpy @ v_evs2)) @
% 14.60/4.45 tc_Message_Omsg) @
% 14.60/4.45 tc_Message_Omsg) @
% 14.60/4.45 tc_Message_Omsg)))),
% 14.60/4.45 inference('split', [status(esa)], [zip_derived_cl6523])).
% 14.60/4.45 thf(zip_derived_cl12, plain,
% 14.60/4.45 (![X0 : $i, X1 : $i]:
% 14.60/4.45 ((c_Message_Oparts @
% 14.60/4.45 (c_insert @ (c_Message_Omsg_OAgent @ X0) @ X1 @ tc_Message_Omsg))
% 14.60/4.45 = (c_insert @ (c_Message_Omsg_OAgent @ X0) @
% 14.60/4.45 (c_Message_Oparts @ X1) @ tc_Message_Omsg))),
% 14.60/4.45 inference('cnf', [status(esa)], [cls_Message_Oparts__insert__Agent_0])).
% 14.60/4.45 thf(cls_Message_Oanalz__parts_0, axiom,
% 14.60/4.45 (( c_Message_Oanalz @ ( c_Message_Oparts @ V_H ) ) =
% 14.60/4.45 ( c_Message_Oparts @ V_H ))).
% 14.60/4.45 thf(zip_derived_cl6, plain,
% 14.60/4.45 (![X0 : $i]:
% 14.60/4.45 ((c_Message_Oanalz @ (c_Message_Oparts @ X0))
% 14.60/4.45 = (c_Message_Oparts @ X0))),
% 14.60/4.45 inference('cnf', [status(esa)], [cls_Message_Oanalz__parts_0])).
% 14.60/4.45 thf(zip_derived_cl53, plain,
% 14.60/4.45 (![X0 : $i, X1 : $i]:
% 14.60/4.45 ((c_Message_Oanalz @
% 14.60/4.45 (c_insert @ (c_Message_Omsg_OAgent @ X1) @
% 14.60/4.45 (c_Message_Oparts @ X0) @ tc_Message_Omsg))
% 14.60/4.45 = (c_insert @ (c_Message_Omsg_OAgent @ X1) @
% 14.60/4.45 (c_Message_Oparts @ X0) @ tc_Message_Omsg))),
% 14.60/4.45 inference('s_sup+', [status(thm)], [zip_derived_cl12, zip_derived_cl6])).
% 14.60/4.45 thf(cls_Message_OFake__analz__eq_0, axiom,
% 14.60/4.45 (( ~( c_in @
% 14.60/4.45 V_X @ ( c_Message_Osynth @ ( c_Message_Oanalz @ V_H ) ) @
% 14.60/4.45 tc_Message_Omsg ) ) |
% 14.60/4.45 ( ( c_Message_Osynth @
% 14.60/4.45 ( c_Message_Oanalz @ ( c_insert @ V_X @ V_H @ tc_Message_Omsg ) ) ) =
% 14.60/4.45 ( c_Message_Osynth @ ( c_Message_Oanalz @ V_H ) ) ))).
% 14.60/4.45 thf(zip_derived_cl2, plain,
% 14.60/4.45 (![X0 : $i, X1 : $i]:
% 14.60/4.45 (~ (c_in @ X0 @ (c_Message_Osynth @ (c_Message_Oanalz @ X1)) @
% 14.60/4.45 tc_Message_Omsg)
% 14.60/4.45 | ((c_Message_Osynth @
% 14.60/4.45 (c_Message_Oanalz @ (c_insert @ X0 @ X1 @ tc_Message_Omsg)))
% 14.60/4.45 = (c_Message_Osynth @ (c_Message_Oanalz @ X1))))),
% 14.60/4.45 inference('cnf', [status(esa)], [cls_Message_OFake__analz__eq_0])).
% 14.60/4.45 thf(zip_derived_cl282, plain,
% 14.60/4.45 (![X0 : $i, X1 : $i]:
% 14.60/4.45 (~ (c_in @ (c_Message_Omsg_OAgent @ X1) @
% 14.60/4.45 (c_Message_Osynth @ (c_Message_Oanalz @ (c_Message_Oparts @ X0))) @
% 14.60/4.45 tc_Message_Omsg)
% 14.60/4.45 | ((c_Message_Osynth @
% 14.60/4.45 (c_insert @ (c_Message_Omsg_OAgent @ X1) @
% 14.60/4.45 (c_Message_Oparts @ X0) @ tc_Message_Omsg))
% 14.60/4.45 = (c_Message_Osynth @
% 14.60/4.45 (c_Message_Oanalz @ (c_Message_Oparts @ X0)))))),
% 14.60/4.45 inference('s_sup+', [status(thm)], [zip_derived_cl53, zip_derived_cl2])).
% 14.60/4.45 thf(zip_derived_cl6, plain,
% 14.60/4.45 (![X0 : $i]:
% 14.60/4.45 ((c_Message_Oanalz @ (c_Message_Oparts @ X0))
% 14.60/4.45 = (c_Message_Oparts @ X0))),
% 14.60/4.45 inference('cnf', [status(esa)], [cls_Message_Oanalz__parts_0])).
% 14.60/4.45 thf(zip_derived_cl1, plain,
% 14.60/4.45 (![X0 : $i, X1 : $i]:
% 14.60/4.45 (c_in @ (c_Message_Omsg_OAgent @ X0) @ (c_Message_Osynth @ X1) @
% 14.60/4.45 tc_Message_Omsg)),
% 14.60/4.45 inference('cnf', [status(esa)], [cls_Message_OAgent__synth_0])).
% 14.60/4.45 thf(zip_derived_cl6, plain,
% 14.60/4.45 (![X0 : $i]:
% 14.60/4.45 ((c_Message_Oanalz @ (c_Message_Oparts @ X0))
% 14.60/4.45 = (c_Message_Oparts @ X0))),
% 14.60/4.45 inference('cnf', [status(esa)], [cls_Message_Oanalz__parts_0])).
% 14.60/4.45 thf(zip_derived_cl294, plain,
% 14.60/4.45 (![X0 : $i, X1 : $i]:
% 14.60/4.45 ((c_Message_Osynth @
% 14.60/4.45 (c_insert @ (c_Message_Omsg_OAgent @ X1) @
% 14.60/4.45 (c_Message_Oparts @ X0) @ tc_Message_Omsg))
% 14.60/4.45 = (c_Message_Osynth @ (c_Message_Oparts @ X0)))),
% 14.60/4.45 inference('demod', [status(thm)],
% 14.60/4.45 [zip_derived_cl282, zip_derived_cl6, zip_derived_cl1,
% 14.60/4.45 zip_derived_cl6])).
% 14.60/4.45 thf(cls_Message_Osynth_OInj_0, axiom,
% 14.60/4.45 (( ~( c_in @ V_X @ V_H @ tc_Message_Omsg ) ) |
% 14.60/4.45 ( c_in @ V_X @ ( c_Message_Osynth @ V_H ) @ tc_Message_Omsg ))).
% 14.60/4.45 thf(zip_derived_cl16, plain,
% 14.60/4.45 (![X0 : $i, X1 : $i]:
% 14.60/4.45 (~ (c_in @ X0 @ X1 @ tc_Message_Omsg)
% 14.60/4.45 | (c_in @ X0 @ (c_Message_Osynth @ X1) @ tc_Message_Omsg))),
% 14.60/4.45 inference('cnf', [status(esa)], [cls_Message_Osynth_OInj_0])).
% 14.60/4.45 thf(zip_derived_cl297, plain,
% 14.60/4.45 (![X0 : $i, X1 : $i, X2 : $i]:
% 14.60/4.45 (~ (c_in @ X2 @
% 14.60/4.45 (c_insert @ (c_Message_Omsg_OAgent @ X1) @
% 14.60/4.45 (c_Message_Oparts @ X0) @ tc_Message_Omsg) @
% 14.60/4.45 tc_Message_Omsg)
% 14.60/4.45 | (c_in @ X2 @ (c_Message_Osynth @ (c_Message_Oparts @ X0)) @
% 14.60/4.45 tc_Message_Omsg))),
% 14.60/4.45 inference('s_sup+', [status(thm)], [zip_derived_cl294, zip_derived_cl16])).
% 14.60/4.45 thf(zip_derived_cl12, plain,
% 14.60/4.45 (![X0 : $i, X1 : $i]:
% 14.60/4.45 ((c_Message_Oparts @
% 14.60/4.45 (c_insert @ (c_Message_Omsg_OAgent @ X0) @ X1 @ tc_Message_Omsg))
% 14.60/4.45 = (c_insert @ (c_Message_Omsg_OAgent @ X0) @
% 14.60/4.45 (c_Message_Oparts @ X1) @ tc_Message_Omsg))),
% 14.60/4.45 inference('cnf', [status(esa)], [cls_Message_Oparts__insert__Agent_0])).
% 14.60/4.45 thf(zip_derived_cl7, plain,
% 14.60/4.45 (![X0 : $i, X1 : $i]:
% 14.60/4.45 (~ (c_in @ X0 @ X1 @ tc_Message_Omsg)
% 14.60/4.45 | (c_in @ X0 @ (c_Message_Oparts @ X1) @ tc_Message_Omsg))),
% 14.60/4.45 inference('cnf', [status(esa)], [cls_Message_Oparts_OInj_0])).
% 14.60/4.45 thf(zip_derived_cl65, plain,
% 14.60/4.45 (![X0 : $i, X1 : $i, X2 : $i]:
% 14.60/4.45 (~ (c_in @ X2 @
% 14.60/4.45 (c_insert @ (c_Message_Omsg_OAgent @ X1) @ X0 @ tc_Message_Omsg) @
% 14.60/4.45 tc_Message_Omsg)
% 14.60/4.45 | (c_in @ X2 @
% 14.60/4.45 (c_insert @ (c_Message_Omsg_OAgent @ X1) @
% 14.60/4.45 (c_Message_Oparts @ X0) @ tc_Message_Omsg) @
% 14.60/4.45 tc_Message_Omsg))),
% 14.60/4.45 inference('s_sup+', [status(thm)], [zip_derived_cl12, zip_derived_cl7])).
% 14.60/4.45 thf(zip_derived_cl1856, plain,
% 14.60/4.45 (![X0 : $i, X1 : $i, X2 : $i]:
% 14.60/4.45 ( (c_in @ X2 @ (c_Message_Osynth @ (c_Message_Oparts @ X0)) @
% 14.60/4.45 tc_Message_Omsg)
% 14.60/4.45 | ~ (c_in @ X2 @
% 14.60/4.45 (c_insert @ (c_Message_Omsg_OAgent @ X1) @ X0 @ tc_Message_Omsg) @
% 14.60/4.45 tc_Message_Omsg))),
% 14.60/4.45 inference('s_sup+', [status(thm)], [zip_derived_cl297, zip_derived_cl65])).
% 14.60/4.45 thf(zip_derived_cl8131, plain,
% 14.60/4.45 (( (c_in @ (c_Message_Omsg_OKey @ (c_Public_OshrK @ v_A)) @
% 14.60/4.45 (c_Message_Osynth @
% 14.60/4.45 (c_Message_Oparts @
% 14.60/4.45 (c_insert @ (c_Message_Omsg_OAgent @ v_B) @
% 14.60/4.45 (c_Message_Oparts @
% 14.60/4.45 (c_Event_Oknows @ c_Message_Oagent_OSpy @ v_evs2)) @
% 14.60/4.45 tc_Message_Omsg))) @
% 14.60/4.45 tc_Message_Omsg))
% 14.60/4.45 <= (( (c_in @ (c_Message_Omsg_OKey @ (c_Public_OshrK @ v_A)) @
% 14.60/4.45 (c_insert @ (c_Message_Omsg_OAgent @ v_Aa) @
% 14.60/4.45 (c_insert @ (c_Message_Omsg_OAgent @ v_B) @
% 14.60/4.45 (c_Message_Oparts @
% 14.60/4.45 (c_Event_Oknows @ c_Message_Oagent_OSpy @ v_evs2)) @
% 14.60/4.45 tc_Message_Omsg) @
% 14.60/4.45 tc_Message_Omsg) @
% 14.60/4.45 tc_Message_Omsg)))),
% 14.60/4.45 inference('s_sup-', [status(thm)],
% 14.60/4.45 [zip_derived_cl8128, zip_derived_cl1856])).
% 14.60/4.45 thf(zip_derived_cl12, plain,
% 14.60/4.45 (![X0 : $i, X1 : $i]:
% 14.60/4.45 ((c_Message_Oparts @
% 14.60/4.45 (c_insert @ (c_Message_Omsg_OAgent @ X0) @ X1 @ tc_Message_Omsg))
% 14.60/4.45 = (c_insert @ (c_Message_Omsg_OAgent @ X0) @
% 14.60/4.45 (c_Message_Oparts @ X1) @ tc_Message_Omsg))),
% 14.60/4.45 inference('cnf', [status(esa)], [cls_Message_Oparts__insert__Agent_0])).
% 14.60/4.45 thf(zip_derived_cl11, plain,
% 14.60/4.45 (![X0 : $i]:
% 14.60/4.45 ((c_Message_Oparts @ (c_Message_Oparts @ X0))
% 14.60/4.45 = (c_Message_Oparts @ X0))),
% 14.60/4.45 inference('cnf', [status(esa)], [cls_Message_Oparts__idem_0])).
% 14.60/4.45 thf(zip_derived_cl294, plain,
% 14.60/4.45 (![X0 : $i, X1 : $i]:
% 14.60/4.45 ((c_Message_Osynth @
% 14.60/4.45 (c_insert @ (c_Message_Omsg_OAgent @ X1) @
% 14.60/4.45 (c_Message_Oparts @ X0) @ tc_Message_Omsg))
% 14.60/4.45 = (c_Message_Osynth @ (c_Message_Oparts @ X0)))),
% 14.60/4.45 inference('demod', [status(thm)],
% 14.60/4.45 [zip_derived_cl282, zip_derived_cl6, zip_derived_cl1,
% 14.60/4.45 zip_derived_cl6])).
% 14.60/4.45 thf(zip_derived_cl8136, plain,
% 14.60/4.45 (( (c_in @ (c_Message_Omsg_OKey @ (c_Public_OshrK @ v_A)) @
% 14.60/4.45 (c_Message_Osynth @
% 14.60/4.45 (c_Message_Oparts @
% 14.60/4.45 (c_Event_Oknows @ c_Message_Oagent_OSpy @ v_evs2))) @
% 14.60/4.45 tc_Message_Omsg))
% 14.60/4.45 <= (( (c_in @ (c_Message_Omsg_OKey @ (c_Public_OshrK @ v_A)) @
% 14.60/4.45 (c_insert @ (c_Message_Omsg_OAgent @ v_Aa) @
% 14.60/4.45 (c_insert @ (c_Message_Omsg_OAgent @ v_B) @
% 14.60/4.45 (c_Message_Oparts @
% 14.60/4.45 (c_Event_Oknows @ c_Message_Oagent_OSpy @ v_evs2)) @
% 14.60/4.45 tc_Message_Omsg) @
% 14.60/4.45 tc_Message_Omsg) @
% 14.60/4.45 tc_Message_Omsg)))),
% 14.60/4.45 inference('demod', [status(thm)],
% 14.60/4.45 [zip_derived_cl8131, zip_derived_cl12, zip_derived_cl11,
% 14.60/4.45 zip_derived_cl294])).
% 14.60/4.45 thf(zip_derived_cl3, plain,
% 14.60/4.45 (![X0 : $i, X1 : $i]:
% 14.60/4.45 (~ (c_in @ (c_Message_Omsg_OKey @ X0) @ (c_Message_Osynth @ X1) @
% 14.60/4.45 tc_Message_Omsg)
% 14.60/4.45 | (c_in @ (c_Message_Omsg_OKey @ X0) @ X1 @ tc_Message_Omsg))),
% 14.60/4.45 inference('cnf', [status(esa)], [cls_Message_OKey__synth__eq_0])).
% 14.60/4.45 thf(zip_derived_cl8705, plain,
% 14.60/4.45 (( (c_in @ (c_Message_Omsg_OKey @ (c_Public_OshrK @ v_A)) @
% 14.60/4.45 (c_Message_Oparts @ (c_Event_Oknows @ c_Message_Oagent_OSpy @ v_evs2)) @
% 14.60/4.45 tc_Message_Omsg))
% 14.60/4.45 <= (( (c_in @ (c_Message_Omsg_OKey @ (c_Public_OshrK @ v_A)) @
% 14.60/4.45 (c_insert @ (c_Message_Omsg_OAgent @ v_Aa) @
% 14.60/4.45 (c_insert @ (c_Message_Omsg_OAgent @ v_B) @
% 14.60/4.45 (c_Message_Oparts @
% 14.60/4.45 (c_Event_Oknows @ c_Message_Oagent_OSpy @ v_evs2)) @
% 14.60/4.45 tc_Message_Omsg) @
% 14.60/4.45 tc_Message_Omsg) @
% 14.60/4.45 tc_Message_Omsg)))),
% 14.60/4.45 inference('s_sup-', [status(thm)], [zip_derived_cl8136, zip_derived_cl3])).
% 14.60/4.45 thf(zip_derived_cl38, plain,
% 14.60/4.45 ((~ (c_in @ (c_Message_Omsg_OKey @ (c_Public_OshrK @ v_A)) @
% 14.60/4.45 (c_Message_Oparts @
% 14.60/4.45 (c_Event_Oknows @ c_Message_Oagent_OSpy @ v_evs2)) @
% 14.60/4.45 tc_Message_Omsg))
% 14.60/4.45 <= (~
% 14.60/4.45 ( (c_in @ (c_Message_Omsg_OKey @ (c_Public_OshrK @ v_A)) @
% 14.60/4.45 (c_Message_Oparts @
% 14.60/4.45 (c_Event_Oknows @ c_Message_Oagent_OSpy @ v_evs2)) @
% 14.60/4.45 tc_Message_Omsg)))),
% 14.60/4.45 inference('split', [status(esa)], [zip_derived_cl34])).
% 14.60/4.45 thf('10', plain,
% 14.60/4.45 (~
% 14.60/4.45 ( (c_in @ (c_Message_Omsg_OKey @ (c_Public_OshrK @ v_A)) @
% 14.60/4.45 (c_Message_Oparts @ (c_Event_Oknows @ c_Message_Oagent_OSpy @ v_evs2)) @
% 14.60/4.45 tc_Message_Omsg))),
% 14.60/4.45 inference('sat_resolution*', [status(thm)], ['0', '1', '7'])).
% 14.60/4.45 thf(zip_derived_cl3200, plain,
% 14.60/4.45 (~ (c_in @ (c_Message_Omsg_OKey @ (c_Public_OshrK @ v_A)) @
% 14.60/4.45 (c_Message_Oparts @ (c_Event_Oknows @ c_Message_Oagent_OSpy @ v_evs2)) @
% 14.60/4.45 tc_Message_Omsg)),
% 14.60/4.45 inference('simpl_trail', [status(thm)], [zip_derived_cl38, '10'])).
% 14.60/4.45 thf('11', plain,
% 14.60/4.45 (~
% 14.60/4.45 ( (c_in @ (c_Message_Omsg_OKey @ (c_Public_OshrK @ v_A)) @
% 14.60/4.45 (c_insert @ (c_Message_Omsg_OAgent @ v_Aa) @
% 14.60/4.45 (c_insert @ (c_Message_Omsg_OAgent @ v_B) @
% 14.60/4.45 (c_Message_Oparts @
% 14.60/4.45 (c_Event_Oknows @ c_Message_Oagent_OSpy @ v_evs2)) @
% 14.60/4.45 tc_Message_Omsg) @
% 14.60/4.45 tc_Message_Omsg) @
% 14.60/4.45 tc_Message_Omsg))),
% 14.60/4.45 inference('s_sup-', [status(thm)],
% 14.60/4.45 [zip_derived_cl8705, zip_derived_cl3200])).
% 14.60/4.45 thf('12', plain,
% 14.60/4.45 (~
% 14.60/4.45 ( (c_in @ (c_Message_Omsg_OKey @ (c_Public_OshrK @ v_A)) @
% 14.60/4.45 (c_Message_Oparts @
% 14.60/4.45 (c_insert @
% 14.60/4.45 (c_Message_Omsg_OMPair @ (c_Message_Omsg_OAgent @ v_Aa) @
% 14.60/4.45 (c_Message_Omsg_OAgent @ v_B)) @
% 14.60/4.45 (c_Event_Oknows @ c_Message_Oagent_OSpy @ v_evs2) @ tc_Message_Omsg)) @
% 14.60/4.45 tc_Message_Omsg)) |
% 14.60/4.45 ( (c_in @ (c_Message_Omsg_OKey @ (c_Public_OshrK @ v_A)) @
% 14.60/4.45 (c_insert @ (c_Message_Omsg_OAgent @ v_Aa) @
% 14.60/4.45 (c_insert @ (c_Message_Omsg_OAgent @ v_B) @
% 14.60/4.45 (c_Message_Oparts @
% 14.60/4.45 (c_Event_Oknows @ c_Message_Oagent_OSpy @ v_evs2)) @
% 14.60/4.45 tc_Message_Omsg) @
% 14.60/4.45 tc_Message_Omsg) @
% 14.60/4.45 tc_Message_Omsg)) |
% 14.60/4.45 (((c_Message_Omsg_OKey @ (c_Public_OshrK @ v_A))
% 14.60/4.45 = (c_Message_Omsg_OMPair @ (c_Message_Omsg_OAgent @ v_Aa) @
% 14.60/4.45 (c_Message_Omsg_OAgent @ v_B))))),
% 14.60/4.45 inference('split', [status(esa)], [zip_derived_cl6523])).
% 14.60/4.45 thf('13', plain,
% 14.60/4.45 (~
% 14.60/4.45 ( (c_in @ (c_Message_Omsg_OKey @ (c_Public_OshrK @ v_A)) @
% 14.60/4.45 (c_insert @ (c_Message_Omsg_ONonce @ v_NB) @
% 14.60/4.45 (c_Message_Oparts @
% 14.60/4.45 (c_insert @
% 14.60/4.45 (c_Message_Omsg_OMPair @ (c_Message_Omsg_OAgent @ v_Aa) @
% 14.60/4.45 (c_Message_Omsg_OAgent @ v_B)) @
% 14.60/4.45 (c_Event_Oknows @ c_Message_Oagent_OSpy @ v_evs2) @
% 14.60/4.45 tc_Message_Omsg)) @
% 14.60/4.45 tc_Message_Omsg) @
% 14.60/4.45 tc_Message_Omsg)) |
% 14.60/4.45 ( (c_in @ (c_Message_Omsg_OKey @ (c_Public_OshrK @ v_A)) @
% 14.60/4.45 (c_Message_Oparts @
% 14.60/4.45 (c_insert @
% 14.60/4.45 (c_Message_Omsg_OMPair @ (c_Message_Omsg_OAgent @ v_Aa) @
% 14.60/4.45 (c_Message_Omsg_OAgent @ v_B)) @
% 14.60/4.45 (c_Event_Oknows @ c_Message_Oagent_OSpy @ v_evs2) @ tc_Message_Omsg)) @
% 14.60/4.45 tc_Message_Omsg)) |
% 14.60/4.45 (((c_Message_Omsg_OKey @ (c_Public_OshrK @ v_A))
% 14.60/4.45 = (c_Message_Omsg_ONonce @ v_NB)))),
% 14.60/4.45 inference('split', [status(esa)], [zip_derived_cl6364])).
% 14.60/4.45 thf('14', plain,
% 14.60/4.45 (~
% 14.60/4.45 ( (c_in @ (c_Message_Omsg_OKey @ (c_Public_OshrK @ v_A)) @
% 14.60/4.45 (c_Message_Oparts @
% 14.60/4.45 (c_insert @
% 14.60/4.45 (c_Message_Omsg_OMPair @ (c_Message_Omsg_ONonce @ v_NB) @
% 14.60/4.45 (c_Message_Omsg_OMPair @ (c_Message_Omsg_OAgent @ v_Aa) @
% 14.60/4.45 (c_Message_Omsg_OAgent @ v_B))) @
% 14.60/4.45 (c_Event_Oknows @ c_Message_Oagent_OSpy @ v_evs2) @ tc_Message_Omsg)) @
% 14.60/4.45 tc_Message_Omsg)) |
% 14.60/4.45 ( (c_in @ (c_Message_Omsg_OKey @ (c_Public_OshrK @ v_A)) @
% 14.60/4.45 (c_insert @ (c_Message_Omsg_ONonce @ v_NB) @
% 14.60/4.45 (c_Message_Oparts @
% 14.60/4.45 (c_insert @
% 14.60/4.45 (c_Message_Omsg_OMPair @ (c_Message_Omsg_OAgent @ v_Aa) @
% 14.60/4.45 (c_Message_Omsg_OAgent @ v_B)) @
% 14.60/4.45 (c_Event_Oknows @ c_Message_Oagent_OSpy @ v_evs2) @
% 14.60/4.45 tc_Message_Omsg)) @
% 14.60/4.45 tc_Message_Omsg) @
% 14.60/4.45 tc_Message_Omsg)) |
% 14.60/4.45 (((c_Message_Omsg_OKey @ (c_Public_OshrK @ v_A))
% 14.60/4.45 = (c_Message_Omsg_OMPair @ (c_Message_Omsg_ONonce @ v_NB) @
% 14.60/4.45 (c_Message_Omsg_OMPair @ (c_Message_Omsg_OAgent @ v_Aa) @
% 14.60/4.45 (c_Message_Omsg_OAgent @ v_B)))))),
% 14.60/4.45 inference('split', [status(esa)], [zip_derived_cl6289])).
% 14.60/4.45 thf('15', plain,
% 14.60/4.45 (~
% 14.60/4.45 ( (c_in @ (c_Message_Omsg_OKey @ (c_Public_OshrK @ v_A)) @
% 14.60/4.45 (c_insert @ (c_Message_Omsg_ONonce @ v_NA) @
% 14.60/4.45 (c_Message_Oparts @
% 14.60/4.45 (c_insert @
% 14.60/4.45 (c_Message_Omsg_OMPair @ (c_Message_Omsg_ONonce @ v_NB) @
% 14.60/4.45 (c_Message_Omsg_OMPair @ (c_Message_Omsg_OAgent @ v_Aa) @
% 14.60/4.45 (c_Message_Omsg_OAgent @ v_B))) @
% 14.60/4.45 (c_Event_Oknows @ c_Message_Oagent_OSpy @ v_evs2) @
% 14.60/4.45 tc_Message_Omsg)) @
% 14.60/4.45 tc_Message_Omsg) @
% 14.60/4.45 tc_Message_Omsg)) |
% 14.60/4.45 ( (c_in @ (c_Message_Omsg_OKey @ (c_Public_OshrK @ v_A)) @
% 14.60/4.45 (c_Message_Oparts @
% 14.60/4.45 (c_insert @
% 14.60/4.45 (c_Message_Omsg_OMPair @ (c_Message_Omsg_ONonce @ v_NB) @
% 14.60/4.45 (c_Message_Omsg_OMPair @ (c_Message_Omsg_OAgent @ v_Aa) @
% 14.60/4.45 (c_Message_Omsg_OAgent @ v_B))) @
% 14.60/4.45 (c_Event_Oknows @ c_Message_Oagent_OSpy @ v_evs2) @ tc_Message_Omsg)) @
% 14.60/4.45 tc_Message_Omsg)) |
% 14.60/4.45 (((c_Message_Omsg_OKey @ (c_Public_OshrK @ v_A))
% 14.60/4.45 = (c_Message_Omsg_ONonce @ v_NA)))),
% 14.60/4.45 inference('split', [status(esa)], [zip_derived_cl6139])).
% 14.60/4.45 thf('16', plain,
% 14.60/4.45 (~
% 14.60/4.45 ( (c_in @ (c_Message_Omsg_OKey @ (c_Public_OshrK @ v_A)) @
% 14.60/4.45 (c_Message_Oparts @
% 14.60/4.45 (c_insert @
% 14.60/4.45 (c_Message_Omsg_OMPair @ (c_Message_Omsg_ONonce @ v_NA) @
% 14.60/4.45 (c_Message_Omsg_OMPair @ (c_Message_Omsg_ONonce @ v_NB) @
% 14.60/4.45 (c_Message_Omsg_OMPair @ (c_Message_Omsg_OAgent @ v_Aa) @
% 14.60/4.45 (c_Message_Omsg_OAgent @ v_B)))) @
% 14.60/4.45 (c_Event_Oknows @ c_Message_Oagent_OSpy @ v_evs2) @ tc_Message_Omsg)) @
% 14.60/4.45 tc_Message_Omsg)) |
% 14.60/4.45 ( (c_in @ (c_Message_Omsg_OKey @ (c_Public_OshrK @ v_A)) @
% 14.60/4.45 (c_insert @ (c_Message_Omsg_ONonce @ v_NA) @
% 14.60/4.45 (c_Message_Oparts @
% 14.60/4.45 (c_insert @
% 14.60/4.45 (c_Message_Omsg_OMPair @ (c_Message_Omsg_ONonce @ v_NB) @
% 14.60/4.45 (c_Message_Omsg_OMPair @ (c_Message_Omsg_OAgent @ v_Aa) @
% 14.60/4.45 (c_Message_Omsg_OAgent @ v_B))) @
% 14.60/4.45 (c_Event_Oknows @ c_Message_Oagent_OSpy @ v_evs2) @
% 14.60/4.45 tc_Message_Omsg)) @
% 14.60/4.45 tc_Message_Omsg) @
% 14.60/4.45 tc_Message_Omsg)) |
% 14.60/4.45 (((c_Message_Omsg_OKey @ (c_Public_OshrK @ v_A))
% 14.60/4.45 = (c_Message_Omsg_OMPair @ (c_Message_Omsg_ONonce @ v_NA) @
% 14.60/4.45 (c_Message_Omsg_OMPair @ (c_Message_Omsg_ONonce @ v_NB) @
% 14.60/4.45 (c_Message_Omsg_OMPair @ (c_Message_Omsg_OAgent @ v_Aa) @
% 14.60/4.45 (c_Message_Omsg_OAgent @ v_B))))))),
% 14.60/4.45 inference('split', [status(esa)], [zip_derived_cl6134])).
% 14.60/4.45 thf(zip_derived_cl10, plain,
% 14.60/4.45 (![X0 : $i, X1 : $i]:
% 14.60/4.45 (~ (c_in @ X0 @ (c_Message_Oparts @ X1) @ tc_Message_Omsg)
% 14.60/4.45 | ((c_Message_Oparts @ (c_insert @ X0 @ X1 @ tc_Message_Omsg))
% 14.60/4.45 = (c_Message_Oparts @ X1)))),
% 14.60/4.45 inference('cnf', [status(esa)], [cls_Message_Oparts__cut__eq_0])).
% 14.60/4.45 thf(zip_derived_cl13, plain,
% 14.60/4.45 (![X0 : $i, X1 : $i, X2 : $i]:
% 14.60/4.45 ((c_Message_Oparts @
% 14.60/4.45 (c_insert @ (c_Message_Omsg_OCrypt @ X0 @ X1) @ X2 @ tc_Message_Omsg))
% 14.60/4.45 = (c_insert @ (c_Message_Omsg_OCrypt @ X0 @ X1) @
% 14.60/4.45 (c_Message_Oparts @ (c_insert @ X1 @ X2 @ tc_Message_Omsg)) @
% 14.60/4.45 tc_Message_Omsg))),
% 14.60/4.45 inference('cnf', [status(esa)], [cls_Message_Oparts__insert__Crypt_0])).
% 14.60/4.45 thf(zip_derived_cl159, plain,
% 14.60/4.45 (![X0 : $i, X1 : $i, X2 : $i]:
% 14.60/4.45 (~ (c_in @ X1 @ (c_Message_Oparts @ X0) @ tc_Message_Omsg)
% 14.60/4.45 | ((c_Message_Oparts @
% 14.60/4.45 (c_insert @ (c_Message_Omsg_OCrypt @ X2 @ X1) @ X0 @
% 14.60/4.45 tc_Message_Omsg))
% 14.60/4.45 = (c_insert @ (c_Message_Omsg_OCrypt @ X2 @ X1) @
% 14.60/4.45 (c_Message_Oparts @ X0) @ tc_Message_Omsg)))),
% 14.60/4.45 inference('s_sup+', [status(thm)], [zip_derived_cl10, zip_derived_cl13])).
% 14.60/4.45 thf(zip_derived_cl193, plain,
% 14.60/4.45 (( (c_in @ (c_Message_Omsg_OKey @ (c_Public_OshrK @ v_A)) @
% 14.60/4.45 (c_Message_Oparts @
% 14.60/4.45 (c_insert @
% 14.60/4.45 (c_Message_Omsg_OCrypt @ (c_Public_OshrK @ v_B) @
% 14.60/4.45 (c_Message_Omsg_OMPair @ (c_Message_Omsg_ONonce @ v_NA) @
% 14.60/4.45 (c_Message_Omsg_OMPair @ (c_Message_Omsg_ONonce @ v_NB) @
% 14.60/4.45 (c_Message_Omsg_OMPair @ (c_Message_Omsg_OAgent @ v_Aa) @
% 14.60/4.45 (c_Message_Omsg_OAgent @ v_B))))) @
% 14.60/4.45 (c_Event_Oknows @ c_Message_Oagent_OSpy @ v_evs2) @ tc_Message_Omsg)) @
% 14.60/4.45 tc_Message_Omsg))
% 14.60/4.45 <= (( (c_in @ (c_Message_Omsg_OKey @ (c_Public_OshrK @ v_A)) @
% 14.60/4.45 (c_Message_Oparts @
% 14.60/4.45 (c_insert @
% 14.60/4.45 (c_Message_Omsg_OCrypt @ (c_Public_OshrK @ v_B) @
% 14.60/4.45 (c_Message_Omsg_OMPair @ (c_Message_Omsg_ONonce @ v_NA) @
% 14.60/4.45 (c_Message_Omsg_OMPair @ (c_Message_Omsg_ONonce @ v_NB) @
% 14.60/4.45 (c_Message_Omsg_OMPair @ (c_Message_Omsg_OAgent @ v_Aa) @
% 14.60/4.45 (c_Message_Omsg_OAgent @ v_B))))) @
% 14.60/4.45 (c_Event_Oknows @ c_Message_Oagent_OSpy @ v_evs2) @
% 14.60/4.45 tc_Message_Omsg)) @
% 14.60/4.45 tc_Message_Omsg)))),
% 14.60/4.45 inference('split', [status(esa)], [zip_derived_cl138])).
% 14.60/4.45 thf(zip_derived_cl3161, plain,
% 14.60/4.45 (((~ (c_in @
% 14.60/4.45 (c_Message_Omsg_OMPair @ (c_Message_Omsg_ONonce @ v_NA) @
% 14.60/4.45 (c_Message_Omsg_OMPair @ (c_Message_Omsg_ONonce @ v_NB) @
% 14.60/4.45 (c_Message_Omsg_OMPair @ (c_Message_Omsg_OAgent @ v_Aa) @
% 14.60/4.45 (c_Message_Omsg_OAgent @ v_B)))) @
% 14.60/4.45 (c_Message_Oparts @
% 14.60/4.45 (c_Event_Oknows @ c_Message_Oagent_OSpy @ v_evs2)) @
% 14.60/4.45 tc_Message_Omsg)
% 14.60/4.45 | (c_in @ (c_Message_Omsg_OKey @ (c_Public_OshrK @ v_A)) @
% 14.60/4.45 (c_insert @
% 14.60/4.45 (c_Message_Omsg_OCrypt @ (c_Public_OshrK @ v_B) @
% 14.60/4.45 (c_Message_Omsg_OMPair @ (c_Message_Omsg_ONonce @ v_NA) @
% 14.60/4.45 (c_Message_Omsg_OMPair @ (c_Message_Omsg_ONonce @ v_NB) @
% 14.60/4.45 (c_Message_Omsg_OMPair @ (c_Message_Omsg_OAgent @ v_Aa) @
% 14.60/4.45 (c_Message_Omsg_OAgent @ v_B))))) @
% 14.60/4.45 (c_Message_Oparts @
% 14.60/4.45 (c_Event_Oknows @ c_Message_Oagent_OSpy @ v_evs2)) @
% 14.60/4.45 tc_Message_Omsg) @
% 14.60/4.45 tc_Message_Omsg)))
% 14.60/4.45 <= (( (c_in @ (c_Message_Omsg_OKey @ (c_Public_OshrK @ v_A)) @
% 14.60/4.45 (c_Message_Oparts @
% 14.60/4.45 (c_insert @
% 14.60/4.45 (c_Message_Omsg_OCrypt @ (c_Public_OshrK @ v_B) @
% 14.60/4.45 (c_Message_Omsg_OMPair @ (c_Message_Omsg_ONonce @ v_NA) @
% 14.60/4.45 (c_Message_Omsg_OMPair @ (c_Message_Omsg_ONonce @ v_NB) @
% 14.60/4.45 (c_Message_Omsg_OMPair @ (c_Message_Omsg_OAgent @ v_Aa) @
% 14.60/4.45 (c_Message_Omsg_OAgent @ v_B))))) @
% 14.60/4.45 (c_Event_Oknows @ c_Message_Oagent_OSpy @ v_evs2) @
% 14.60/4.45 tc_Message_Omsg)) @
% 14.60/4.45 tc_Message_Omsg)))),
% 14.60/4.45 inference('s_sup+', [status(thm)], [zip_derived_cl159, zip_derived_cl193])).
% 14.60/4.45 thf(zip_derived_cl3297, plain,
% 14.60/4.45 (( (c_in @ (c_Message_Omsg_OKey @ (c_Public_OshrK @ v_A)) @
% 14.60/4.45 (c_insert @
% 14.60/4.45 (c_Message_Omsg_OCrypt @ (c_Public_OshrK @ v_B) @
% 14.60/4.45 (c_Message_Omsg_OMPair @ (c_Message_Omsg_ONonce @ v_NA) @
% 14.60/4.45 (c_Message_Omsg_OMPair @ (c_Message_Omsg_ONonce @ v_NB) @
% 14.60/4.45 (c_Message_Omsg_OMPair @ (c_Message_Omsg_OAgent @ v_Aa) @
% 14.60/4.45 (c_Message_Omsg_OAgent @ v_B))))) @
% 14.60/4.45 (c_Message_Oparts @
% 14.60/4.45 (c_Event_Oknows @ c_Message_Oagent_OSpy @ v_evs2)) @
% 14.60/4.45 tc_Message_Omsg) @
% 14.60/4.45 tc_Message_Omsg))
% 14.60/4.45 <= (( (c_in @ (c_Message_Omsg_OKey @ (c_Public_OshrK @ v_A)) @
% 14.60/4.45 (c_insert @
% 14.60/4.45 (c_Message_Omsg_OCrypt @ (c_Public_OshrK @ v_B) @
% 14.60/4.45 (c_Message_Omsg_OMPair @ (c_Message_Omsg_ONonce @ v_NA) @
% 14.60/4.45 (c_Message_Omsg_OMPair @ (c_Message_Omsg_ONonce @ v_NB) @
% 14.60/4.45 (c_Message_Omsg_OMPair @ (c_Message_Omsg_OAgent @ v_Aa) @
% 14.60/4.45 (c_Message_Omsg_OAgent @ v_B))))) @
% 14.60/4.45 (c_Message_Oparts @
% 14.60/4.45 (c_Event_Oknows @ c_Message_Oagent_OSpy @ v_evs2)) @
% 14.60/4.45 tc_Message_Omsg) @
% 14.60/4.45 tc_Message_Omsg)))),
% 14.60/4.45 inference('split', [status(esa)], [zip_derived_cl3161])).
% 14.60/4.45 thf(zip_derived_cl29, plain,
% 14.60/4.45 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 14.60/4.45 (~ (c_in @ X0 @ (c_insert @ X1 @ X2 @ X3) @ X3)
% 14.60/4.45 | (c_in @ X0 @ X2 @ X3)
% 14.60/4.45 | ((X0) = (X1)))),
% 14.60/4.45 inference('cnf', [status(esa)], [cls_Set_Oinsert__iff_0])).
% 14.60/4.45 thf(zip_derived_cl3299, plain,
% 14.60/4.45 ((( (c_in @ (c_Message_Omsg_OKey @ (c_Public_OshrK @ v_A)) @
% 14.60/4.45 (c_Message_Oparts @
% 14.60/4.45 (c_Event_Oknows @ c_Message_Oagent_OSpy @ v_evs2)) @
% 14.60/4.45 tc_Message_Omsg)
% 14.60/4.45 | ((c_Message_Omsg_OKey @ (c_Public_OshrK @ v_A))
% 14.60/4.45 = (c_Message_Omsg_OCrypt @ (c_Public_OshrK @ v_B) @
% 14.60/4.45 (c_Message_Omsg_OMPair @ (c_Message_Omsg_ONonce @ v_NA) @
% 14.60/4.45 (c_Message_Omsg_OMPair @ (c_Message_Omsg_ONonce @ v_NB) @
% 14.60/4.45 (c_Message_Omsg_OMPair @ (c_Message_Omsg_OAgent @ v_Aa) @
% 14.60/4.45 (c_Message_Omsg_OAgent @ v_B))))))))
% 14.60/4.45 <= (( (c_in @ (c_Message_Omsg_OKey @ (c_Public_OshrK @ v_A)) @
% 14.60/4.45 (c_insert @
% 14.60/4.45 (c_Message_Omsg_OCrypt @ (c_Public_OshrK @ v_B) @
% 14.60/4.45 (c_Message_Omsg_OMPair @ (c_Message_Omsg_ONonce @ v_NA) @
% 14.60/4.45 (c_Message_Omsg_OMPair @ (c_Message_Omsg_ONonce @ v_NB) @
% 14.60/4.45 (c_Message_Omsg_OMPair @ (c_Message_Omsg_OAgent @ v_Aa) @
% 14.60/4.45 (c_Message_Omsg_OAgent @ v_B))))) @
% 14.60/4.45 (c_Message_Oparts @
% 14.60/4.45 (c_Event_Oknows @ c_Message_Oagent_OSpy @ v_evs2)) @
% 14.60/4.45 tc_Message_Omsg) @
% 14.60/4.45 tc_Message_Omsg)))),
% 14.60/4.45 inference('s_sup-', [status(thm)], [zip_derived_cl3297, zip_derived_cl29])).
% 14.60/4.45 thf(zip_derived_cl3304, plain,
% 14.60/4.45 ((((c_Message_Omsg_OKey @ (c_Public_OshrK @ v_A))
% 14.60/4.45 = (c_Message_Omsg_OCrypt @ (c_Public_OshrK @ v_B) @
% 14.60/4.45 (c_Message_Omsg_OMPair @ (c_Message_Omsg_ONonce @ v_NA) @
% 14.60/4.45 (c_Message_Omsg_OMPair @ (c_Message_Omsg_ONonce @ v_NB) @
% 14.60/4.45 (c_Message_Omsg_OMPair @ (c_Message_Omsg_OAgent @ v_Aa) @
% 14.60/4.45 (c_Message_Omsg_OAgent @ v_B)))))))
% 14.60/4.45 <= ((((c_Message_Omsg_OKey @ (c_Public_OshrK @ v_A))
% 14.60/4.45 = (c_Message_Omsg_OCrypt @ (c_Public_OshrK @ v_B) @
% 14.60/4.45 (c_Message_Omsg_OMPair @ (c_Message_Omsg_ONonce @ v_NA) @
% 14.60/4.45 (c_Message_Omsg_OMPair @ (c_Message_Omsg_ONonce @ v_NB) @
% 14.60/4.45 (c_Message_Omsg_OMPair @ (c_Message_Omsg_OAgent @ v_Aa) @
% 14.60/4.45 (c_Message_Omsg_OAgent @ v_B))))))))),
% 14.60/4.45 inference('split', [status(esa)], [zip_derived_cl3299])).
% 14.60/4.45 thf(cls_Public_OCrypt__notin__used__empty_0, axiom,
% 14.60/4.45 (~( c_in @
% 14.60/4.45 ( c_Message_Omsg_OCrypt @ V_K @ V_X ) @
% 14.60/4.45 ( c_Event_Oused @ c_List_Olist_ONil ) @ tc_Message_Omsg ))).
% 14.60/4.45 thf(zip_derived_cl19, plain,
% 14.60/4.45 (![X0 : $i, X1 : $i]:
% 14.60/4.45 ~ (c_in @ (c_Message_Omsg_OCrypt @ X0 @ X1) @
% 14.60/4.45 (c_Event_Oused @ c_List_Olist_ONil) @ tc_Message_Omsg)),
% 14.60/4.45 inference('cnf', [status(esa)], [cls_Public_OCrypt__notin__used__empty_0])).
% 14.60/4.45 thf(zip_derived_cl3306, plain,
% 14.60/4.45 ((~ (c_in @ (c_Message_Omsg_OKey @ (c_Public_OshrK @ v_A)) @
% 14.60/4.45 (c_Event_Oused @ c_List_Olist_ONil) @ tc_Message_Omsg))
% 14.60/4.45 <= ((((c_Message_Omsg_OKey @ (c_Public_OshrK @ v_A))
% 14.60/4.45 = (c_Message_Omsg_OCrypt @ (c_Public_OshrK @ v_B) @
% 14.60/4.45 (c_Message_Omsg_OMPair @ (c_Message_Omsg_ONonce @ v_NA) @
% 14.60/4.45 (c_Message_Omsg_OMPair @ (c_Message_Omsg_ONonce @ v_NB) @
% 14.60/4.45 (c_Message_Omsg_OMPair @ (c_Message_Omsg_OAgent @ v_Aa) @
% 14.60/4.45 (c_Message_Omsg_OAgent @ v_B))))))))),
% 14.60/4.45 inference('s_sup-', [status(thm)], [zip_derived_cl3304, zip_derived_cl19])).
% 14.60/4.45 thf(zip_derived_cl25, plain,
% 14.60/4.45 (![X0 : $i, X1 : $i]:
% 14.60/4.45 (c_in @ (c_Message_Omsg_OKey @ (c_Public_OshrK @ X0)) @
% 14.60/4.45 (c_Event_Oused @ X1) @ tc_Message_Omsg)),
% 14.60/4.45 inference('cnf', [status(esa)], [cls_Public_OshrK__in__used_0])).
% 14.60/4.45 thf('17', plain,
% 14.60/4.45 (~
% 14.60/4.45 (((c_Message_Omsg_OKey @ (c_Public_OshrK @ v_A))
% 14.60/4.45 = (c_Message_Omsg_OCrypt @ (c_Public_OshrK @ v_B) @
% 14.60/4.45 (c_Message_Omsg_OMPair @ (c_Message_Omsg_ONonce @ v_NA) @
% 14.60/4.45 (c_Message_Omsg_OMPair @ (c_Message_Omsg_ONonce @ v_NB) @
% 14.60/4.45 (c_Message_Omsg_OMPair @ (c_Message_Omsg_OAgent @ v_Aa) @
% 14.60/4.45 (c_Message_Omsg_OAgent @ v_B)))))))),
% 14.60/4.45 inference('demod', [status(thm)], [zip_derived_cl3306, zip_derived_cl25])).
% 14.60/4.45 thf('18', plain,
% 14.60/4.45 (( (c_in @ (c_Message_Omsg_OKey @ (c_Public_OshrK @ v_A)) @
% 14.60/4.45 (c_Message_Oparts @
% 14.60/4.45 (c_insert @
% 14.60/4.45 (c_Message_Omsg_OMPair @ (c_Message_Omsg_ONonce @ v_NA) @
% 14.60/4.45 (c_Message_Omsg_OMPair @ (c_Message_Omsg_ONonce @ v_NB) @
% 14.60/4.45 (c_Message_Omsg_OMPair @ (c_Message_Omsg_OAgent @ v_Aa) @
% 14.60/4.45 (c_Message_Omsg_OAgent @ v_B)))) @
% 14.60/4.45 (c_Event_Oknows @ c_Message_Oagent_OSpy @ v_evs2) @ tc_Message_Omsg)) @
% 14.60/4.45 tc_Message_Omsg)) |
% 14.60/4.45 (((c_Message_Omsg_OKey @ (c_Public_OshrK @ v_A))
% 14.60/4.45 = (c_Message_Omsg_OCrypt @ (c_Public_OshrK @ v_B) @
% 14.60/4.45 (c_Message_Omsg_OMPair @ (c_Message_Omsg_ONonce @ v_NA) @
% 14.60/4.45 (c_Message_Omsg_OMPair @ (c_Message_Omsg_ONonce @ v_NB) @
% 14.60/4.45 (c_Message_Omsg_OMPair @ (c_Message_Omsg_OAgent @ v_Aa) @
% 14.60/4.45 (c_Message_Omsg_OAgent @ v_B))))))) |
% 14.60/4.45 ~
% 14.60/4.45 ( (c_in @ (c_Message_Omsg_OKey @ (c_Public_OshrK @ v_A)) @
% 14.60/4.45 (c_Message_Oparts @
% 14.60/4.45 (c_insert @
% 14.60/4.45 (c_Message_Omsg_OCrypt @ (c_Public_OshrK @ v_B) @
% 14.60/4.45 (c_Message_Omsg_OMPair @ (c_Message_Omsg_ONonce @ v_NA) @
% 14.60/4.45 (c_Message_Omsg_OMPair @ (c_Message_Omsg_ONonce @ v_NB) @
% 14.60/4.45 (c_Message_Omsg_OMPair @ (c_Message_Omsg_OAgent @ v_Aa) @
% 14.60/4.45 (c_Message_Omsg_OAgent @ v_B))))) @
% 14.60/4.45 (c_Event_Oknows @ c_Message_Oagent_OSpy @ v_evs2) @ tc_Message_Omsg)) @
% 14.60/4.45 tc_Message_Omsg))),
% 14.60/4.45 inference('split', [status(esa)], [zip_derived_cl6107])).
% 14.60/4.45 thf('19', plain,
% 14.60/4.45 (~
% 14.60/4.45 ( (c_in @ v_X @
% 14.60/4.45 (c_Message_Oparts @
% 14.60/4.45 (c_insert @
% 14.60/4.45 (c_Message_Omsg_OCrypt @ (c_Public_OshrK @ v_B) @
% 14.60/4.45 (c_Message_Omsg_OMPair @ (c_Message_Omsg_ONonce @ v_NA) @
% 14.60/4.45 (c_Message_Omsg_OMPair @ (c_Message_Omsg_ONonce @ v_NB) @
% 14.60/4.45 (c_Message_Omsg_OMPair @ (c_Message_Omsg_OAgent @ v_Aa) @
% 14.60/4.45 (c_Message_Omsg_OAgent @ v_B))))) @
% 14.60/4.45 (c_Event_Oknows @ c_Message_Oagent_OSpy @ v_evs2) @ tc_Message_Omsg)) @
% 14.60/4.45 tc_Message_Omsg)) |
% 14.60/4.45 ( (c_in @ (c_Message_Omsg_OKey @ (c_Public_OshrK @ v_A)) @
% 14.60/4.45 (c_Message_Oparts @
% 14.60/4.45 (c_insert @
% 14.60/4.45 (c_Message_Omsg_OCrypt @ (c_Public_OshrK @ v_B) @
% 14.60/4.45 (c_Message_Omsg_OMPair @ (c_Message_Omsg_ONonce @ v_NA) @
% 14.60/4.45 (c_Message_Omsg_OMPair @ (c_Message_Omsg_ONonce @ v_NB) @
% 14.60/4.45 (c_Message_Omsg_OMPair @ (c_Message_Omsg_OAgent @ v_Aa) @
% 14.60/4.45 (c_Message_Omsg_OAgent @ v_B))))) @
% 14.60/4.45 (c_Event_Oknows @ c_Message_Oagent_OSpy @ v_evs2) @ tc_Message_Omsg)) @
% 14.60/4.45 tc_Message_Omsg)) |
% 14.60/4.45 ~
% 14.60/4.45 ( (c_in @ (c_Message_Omsg_OKey @ (c_Public_OshrK @ v_A)) @
% 14.60/4.45 (c_Message_Oparts @
% 14.60/4.45 (c_insert @ v_X @
% 14.60/4.45 (c_insert @
% 14.60/4.45 (c_Message_Omsg_OCrypt @ (c_Public_OshrK @ v_B) @
% 14.60/4.45 (c_Message_Omsg_OMPair @ (c_Message_Omsg_ONonce @ v_NA) @
% 14.60/4.45 (c_Message_Omsg_OMPair @ (c_Message_Omsg_ONonce @ v_NB) @
% 14.60/4.45 (c_Message_Omsg_OMPair @ (c_Message_Omsg_OAgent @ v_Aa) @
% 14.60/4.45 (c_Message_Omsg_OAgent @ v_B))))) @
% 14.60/4.45 (c_Event_Oknows @ c_Message_Oagent_OSpy @ v_evs2) @
% 14.60/4.45 tc_Message_Omsg) @
% 14.60/4.45 tc_Message_Omsg)) @
% 14.60/4.45 tc_Message_Omsg))),
% 14.60/4.45 inference('split', [status(esa)], [zip_derived_cl138])).
% 14.60/4.45 thf('20', plain,
% 14.60/4.45 (~
% 14.60/4.45 ( (c_in @ v_X @
% 14.60/4.45 (c_Message_Oparts @
% 14.60/4.45 (c_insert @
% 14.60/4.45 (c_Message_Omsg_OCrypt @ (c_Public_OshrK @ v_B) @
% 14.60/4.45 (c_Message_Omsg_OMPair @ (c_Message_Omsg_ONonce @ v_NA) @
% 14.60/4.45 (c_Message_Omsg_OMPair @ (c_Message_Omsg_ONonce @ v_NB) @
% 14.60/4.45 (c_Message_Omsg_OMPair @ (c_Message_Omsg_OAgent @ v_Aa) @
% 14.60/4.45 (c_Message_Omsg_OAgent @ v_B))))) @
% 14.60/4.45 (c_Event_Oknows @ c_Message_Oagent_OSpy @ v_evs2) @ tc_Message_Omsg)) @
% 14.60/4.45 tc_Message_Omsg))),
% 14.60/4.45 inference('sat_resolution*', [status(thm)],
% 14.60/4.45 ['0', '1', '2', '3', '4', '5', '6', '9', '11', '12', '13',
% 14.60/4.45 '14', '15', '16', '17', '18', '19'])).
% 14.60/4.45 thf(zip_derived_cl8725, plain,
% 14.60/4.45 (~ (c_in @ v_X @
% 14.60/4.45 (c_Message_Oparts @ (c_Event_Oknows @ c_Message_Oagent_OSpy @ v_evs2)) @
% 14.60/4.45 tc_Message_Omsg)),
% 14.60/4.45 inference('simpl_trail', [status(thm)], [zip_derived_cl6753, '20'])).
% 14.60/4.45 thf(zip_derived_cl9775, plain, ($false),
% 14.60/4.45 inference('demod', [status(thm)],
% 14.60/4.45 [zip_derived_cl9755, zip_derived_cl11, zip_derived_cl8725])).
% 14.60/4.45
% 14.60/4.45 % SZS output end Refutation
% 14.60/4.45
% 14.60/4.45
% 14.60/4.45 % Terminating...
% 14.80/4.60 % Runner terminated.
% 14.85/4.62 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------