%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SWV332-2 : TPTP v9.2.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.XupmKt5VDj true
% Computer : n009.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 : Thu Oct 2 05:00:48 PM UTC 2025
% Result : Unsatisfiable 0.56s 0.79s
% Output : Refutation 0.56s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SWV332-2 : TPTP v9.2.0. Released v3.2.0.
% 0.07/0.14 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.XupmKt5VDj true
% 0.14/0.35 % Computer : n009.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Wed Oct 1 12:32:23 EDT 2025
% 0.14/0.35 % CPUTime :
% 0.14/0.35 % Running portfolio for 300 s
% 0.14/0.35 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.35 % Number of cores: 8
% 0.14/0.36 % Python version: Python 3.6.8
% 0.14/0.36 % Running in FO mode
% 0.54/0.63 % Total configuration time : 435
% 0.54/0.63 % Estimated wc time : 1092
% 0.54/0.63 % Estimated cpu time (7 cpus) : 156.0
% 0.54/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.54/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.54/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.54/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.54/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.54/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.54/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.56/0.79 % Solved by fo/fo3_bce.sh.
% 0.56/0.79 % BCE start: 15
% 0.56/0.79 % BCE eliminated: 0
% 0.56/0.79 % PE start: 15
% 0.56/0.79 logic: eq
% 0.56/0.79 % PE eliminated: 0
% 0.56/0.79 % done 52 iterations in 0.041s
% 0.56/0.79 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.56/0.79 % SZS output start Refutation
% 0.56/0.79 thf(tc_Message_Omsg_type, type, tc_Message_Omsg: $i).
% 0.56/0.79 thf(c_Message_Omsg_ONonce_type, type, c_Message_Omsg_ONonce: $i > $i).
% 0.56/0.79 thf(tc_List_Olist_type, type, tc_List_Olist: $i > $i).
% 0.56/0.79 thf(c_in_type, type, c_in: $i > $i > $i > $o).
% 0.56/0.79 thf(c_Message_Oparts_type, type, c_Message_Oparts: $i > $i).
% 0.56/0.79 thf(v_A_type, type, v_A: $i).
% 0.56/0.79 thf(c_Event_Oevent_OGets_type, type, c_Event_Oevent_OGets: $i > $i > $i).
% 0.56/0.79 thf(v_Ba_type, type, v_Ba: $i).
% 0.56/0.79 thf(c_Message_Oanalz_type, type, c_Message_Oanalz: $i > $i).
% 0.56/0.79 thf(v_sko__2ji_type, type, v_sko__2ji: $i > $i > $i > $i > $i).
% 0.56/0.79 thf(tc_Event_Oevent_type, type, tc_Event_Oevent: $i).
% 0.56/0.79 thf(v_NB_type, type, v_NB: $i).
% 0.56/0.79 thf(v_K_type, type, v_K: $i).
% 0.56/0.79 thf(c_Event_Obad_type, type, c_Event_Obad: $i).
% 0.56/0.79 thf(c_Event_Oknows_type, type, c_Event_Oknows: $i > $i > $i).
% 0.56/0.79 thf(v_B_type, type, v_B: $i).
% 0.56/0.79 thf(v_evs4_type, type, v_evs4: $i).
% 0.56/0.79 thf(c_Message_Oagent_OSpy_type, type, c_Message_Oagent_OSpy: $i).
% 0.56/0.79 thf(v_X_type, type, v_X: $i).
% 0.56/0.79 thf(c_Event_Oevent_OSays_type, type, c_Event_Oevent_OSays: $i > $i > $i > $i).
% 0.56/0.79 thf(c_Message_Oagent_OServer_type, type, c_Message_Oagent_OServer: $i).
% 0.56/0.79 thf(c_List_Oset_type, type, c_List_Oset: $i > $i > $i).
% 0.56/0.79 thf(c_Public_OshrK_type, type, c_Public_OshrK: $i > $i).
% 0.56/0.79 thf(v_Aa_type, type, v_Aa: $i).
% 0.56/0.79 thf(c_Message_Omsg_OAgent_type, type, c_Message_Omsg_OAgent: $i > $i).
% 0.56/0.79 thf(v_sko__2jj_type, type, v_sko__2jj: $i > $i > $i > $i > $i).
% 0.56/0.79 thf(c_Yahalom_Oyahalom_type, type, c_Yahalom_Oyahalom: $i).
% 0.56/0.79 thf(tc_Message_Oagent_type, type, tc_Message_Oagent: $i).
% 0.56/0.79 thf(c_Message_Omsg_OMPair_type, type, c_Message_Omsg_OMPair: $i > $i > $i).
% 0.56/0.79 thf(v_NA_type, type, v_NA: $i).
% 0.56/0.79 thf(c_Message_Omsg_OCrypt_type, type, c_Message_Omsg_OCrypt: $i > $i > $i).
% 0.56/0.79 thf(c_Message_Omsg_OKey_type, type, c_Message_Omsg_OKey: $i > $i).
% 0.56/0.79 thf(cls_conjecture_11, conjecture,
% 0.56/0.79 (~( ( ( v_A ) != ( v_Aa ) ) | ( ( v_B ) != ( v_Ba ) ) |
% 0.56/0.79 ( ( V_U ) != ( v_X ) ) ))).
% 0.56/0.79 thf(zf_stmt_0, negated_conjecture,
% 0.56/0.79 (( ( v_A ) != ( v_Aa ) ) | ( ( v_B ) != ( v_Ba ) ) | ( ( V_U ) != ( v_X ) )),
% 0.56/0.79 inference('cnf.neg', [status(esa)], [cls_conjecture_11])).
% 0.56/0.79 thf(zip_derived_cl10, plain,
% 0.56/0.79 (![X0 : $i]: (((v_A) != (v_Aa)) | ((v_B) != (v_Ba)) | ((X0) != (v_X)))),
% 0.56/0.79 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.56/0.79 thf(cls_conjecture_3, conjecture,
% 0.56/0.79 (~( c_in @
% 0.56/0.79 ( c_Event_Oevent_OGets @
% 0.56/0.79 v_Aa @
% 0.56/0.79 ( c_Message_Omsg_OMPair @
% 0.56/0.79 ( c_Message_Omsg_OCrypt @
% 0.56/0.79 ( c_Public_OshrK @ v_Aa ) @
% 0.56/0.79 ( c_Message_Omsg_OMPair @
% 0.56/0.79 ( c_Message_Omsg_OAgent @ v_Ba ) @
% 0.56/0.79 ( c_Message_Omsg_OMPair @
% 0.56/0.79 ( c_Message_Omsg_OKey @ v_K ) @
% 0.56/0.79 ( c_Message_Omsg_OMPair @
% 0.56/0.79 ( c_Message_Omsg_ONonce @ v_NA ) @
% 0.56/0.79 ( c_Message_Omsg_ONonce @ v_NB ) ) ) ) ) @
% 0.56/0.79 v_X ) ) @
% 0.56/0.79 ( c_List_Oset @ v_evs4 @ tc_Event_Oevent ) @ tc_Event_Oevent ))).
% 0.56/0.79 thf(zf_stmt_1, negated_conjecture,
% 0.56/0.79 (c_in @
% 0.56/0.79 ( c_Event_Oevent_OGets @
% 0.56/0.79 v_Aa @
% 0.56/0.79 ( c_Message_Omsg_OMPair @
% 0.56/0.79 ( c_Message_Omsg_OCrypt @
% 0.56/0.79 ( c_Public_OshrK @ v_Aa ) @
% 0.56/0.79 ( c_Message_Omsg_OMPair @
% 0.56/0.79 ( c_Message_Omsg_OAgent @ v_Ba ) @
% 0.56/0.79 ( c_Message_Omsg_OMPair @
% 0.56/0.79 ( c_Message_Omsg_OKey @ v_K ) @
% 0.56/0.79 ( c_Message_Omsg_OMPair @
% 0.56/0.79 ( c_Message_Omsg_ONonce @ v_NA ) @
% 0.56/0.79 ( c_Message_Omsg_ONonce @ v_NB ) ) ) ) ) @
% 0.56/0.79 v_X ) ) @
% 0.56/0.79 ( c_List_Oset @ v_evs4 @ tc_Event_Oevent ) @ tc_Event_Oevent),
% 0.56/0.79 inference('cnf.neg', [status(esa)], [cls_conjecture_3])).
% 0.56/0.79 thf(zip_derived_cl11, plain,
% 0.56/0.79 ( (c_in @
% 0.56/0.79 (c_Event_Oevent_OGets @ v_Aa @
% 0.56/0.79 (c_Message_Omsg_OMPair @
% 0.56/0.79 (c_Message_Omsg_OCrypt @ (c_Public_OshrK @ v_Aa) @
% 0.56/0.79 (c_Message_Omsg_OMPair @ (c_Message_Omsg_OAgent @ v_Ba) @
% 0.56/0.79 (c_Message_Omsg_OMPair @ (c_Message_Omsg_OKey @ v_K) @
% 0.56/0.79 (c_Message_Omsg_OMPair @ (c_Message_Omsg_ONonce @ v_NA) @
% 0.56/0.79 (c_Message_Omsg_ONonce @ v_NB))))) @
% 0.56/0.79 v_X)) @
% 0.56/0.79 (c_List_Oset @ v_evs4 @ tc_Event_Oevent) @ tc_Event_Oevent)),
% 0.56/0.79 inference('cnf', [status(esa)], [zf_stmt_1])).
% 0.56/0.79 thf(cls_Yahalom_OGets__imp__analz__Spy__dest_0, axiom,
% 0.56/0.79 (( ~( c_in @
% 0.56/0.79 V_evs @ c_Yahalom_Oyahalom @ ( tc_List_Olist @ tc_Event_Oevent ) ) ) |
% 0.56/0.79 ( ~( c_in @
% 0.56/0.79 ( c_Event_Oevent_OGets @ V_B @ V_X ) @
% 0.56/0.79 ( c_List_Oset @ V_evs @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) |
% 0.56/0.79 ( c_in @
% 0.56/0.79 V_X @
% 0.56/0.79 ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ V_evs ) ) @
% 0.56/0.79 tc_Message_Omsg ))).
% 0.56/0.79 thf(zip_derived_cl6, plain,
% 0.56/0.79 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.56/0.79 (~ (c_in @ X0 @ c_Yahalom_Oyahalom @ (tc_List_Olist @ tc_Event_Oevent))
% 0.56/0.79 | ~ (c_in @ (c_Event_Oevent_OGets @ X1 @ X2) @
% 0.56/0.79 (c_List_Oset @ X0 @ tc_Event_Oevent) @ tc_Event_Oevent)
% 0.56/0.79 | (c_in @ X2 @
% 0.56/0.79 (c_Message_Oanalz @ (c_Event_Oknows @ c_Message_Oagent_OSpy @ X0)) @
% 0.56/0.79 tc_Message_Omsg))),
% 0.56/0.79 inference('cnf', [status(esa)],
% 0.56/0.79 [cls_Yahalom_OGets__imp__analz__Spy__dest_0])).
% 0.56/0.79 thf(zip_derived_cl78, plain,
% 0.56/0.79 (( (c_in @
% 0.56/0.79 (c_Message_Omsg_OMPair @
% 0.56/0.79 (c_Message_Omsg_OCrypt @ (c_Public_OshrK @ v_Aa) @
% 0.56/0.79 (c_Message_Omsg_OMPair @ (c_Message_Omsg_OAgent @ v_Ba) @
% 0.56/0.79 (c_Message_Omsg_OMPair @ (c_Message_Omsg_OKey @ v_K) @
% 0.56/0.79 (c_Message_Omsg_OMPair @ (c_Message_Omsg_ONonce @ v_NA) @
% 0.56/0.79 (c_Message_Omsg_ONonce @ v_NB))))) @
% 0.56/0.79 v_X) @
% 0.56/0.79 (c_Message_Oanalz @ (c_Event_Oknows @ c_Message_Oagent_OSpy @ v_evs4)) @
% 0.56/0.79 tc_Message_Omsg)
% 0.56/0.79 | ~ (c_in @ v_evs4 @ c_Yahalom_Oyahalom @
% 0.56/0.79 (tc_List_Olist @ tc_Event_Oevent)))),
% 0.56/0.79 inference('sup-', [status(thm)], [zip_derived_cl11, zip_derived_cl6])).
% 0.56/0.79 thf(cls_conjecture_0, conjecture,
% 0.56/0.79 (~( c_in @
% 0.56/0.79 v_evs4 @ c_Yahalom_Oyahalom @ ( tc_List_Olist @ tc_Event_Oevent ) ))).
% 0.56/0.79 thf(zf_stmt_2, negated_conjecture,
% 0.56/0.79 (c_in @ v_evs4 @ c_Yahalom_Oyahalom @ ( tc_List_Olist @ tc_Event_Oevent )),
% 0.56/0.79 inference('cnf.neg', [status(esa)], [cls_conjecture_0])).
% 0.56/0.79 thf(zip_derived_cl9, plain,
% 0.56/0.79 ( (c_in @ v_evs4 @ c_Yahalom_Oyahalom @ (tc_List_Olist @ tc_Event_Oevent))),
% 0.56/0.79 inference('cnf', [status(esa)], [zf_stmt_2])).
% 0.56/0.79 thf(zip_derived_cl79, plain,
% 0.56/0.79 ( (c_in @
% 0.56/0.79 (c_Message_Omsg_OMPair @
% 0.56/0.79 (c_Message_Omsg_OCrypt @ (c_Public_OshrK @ v_Aa) @
% 0.56/0.79 (c_Message_Omsg_OMPair @ (c_Message_Omsg_OAgent @ v_Ba) @
% 0.56/0.79 (c_Message_Omsg_OMPair @ (c_Message_Omsg_OKey @ v_K) @
% 0.56/0.79 (c_Message_Omsg_OMPair @ (c_Message_Omsg_ONonce @ v_NA) @
% 0.56/0.79 (c_Message_Omsg_ONonce @ v_NB))))) @
% 0.56/0.79 v_X) @
% 0.56/0.79 (c_Message_Oanalz @ (c_Event_Oknows @ c_Message_Oagent_OSpy @ v_evs4)) @
% 0.56/0.79 tc_Message_Omsg)),
% 0.56/0.79 inference('demod', [status(thm)], [zip_derived_cl78, zip_derived_cl9])).
% 0.56/0.79 thf(cls_Message_OMPair__analz_1, axiom,
% 0.56/0.79 (( ~( c_in @
% 0.56/0.79 ( c_Message_Omsg_OMPair @ V_X @ V_Y ) @ ( c_Message_Oanalz @ V_H ) @
% 0.56/0.79 tc_Message_Omsg ) ) |
% 0.56/0.79 ( c_in @ V_X @ ( c_Message_Oanalz @ V_H ) @ tc_Message_Omsg ))).
% 0.56/0.79 thf(zip_derived_cl2, plain,
% 0.56/0.79 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.56/0.79 (~ (c_in @ (c_Message_Omsg_OMPair @ X0 @ X1) @
% 0.56/0.79 (c_Message_Oanalz @ X2) @ tc_Message_Omsg)
% 0.56/0.79 | (c_in @ X0 @ (c_Message_Oanalz @ X2) @ tc_Message_Omsg))),
% 0.56/0.79 inference('cnf', [status(esa)], [cls_Message_OMPair__analz_1])).
% 0.56/0.79 thf(zip_derived_cl81, plain,
% 0.56/0.79 ( (c_in @
% 0.56/0.79 (c_Message_Omsg_OCrypt @ (c_Public_OshrK @ v_Aa) @
% 0.56/0.79 (c_Message_Omsg_OMPair @ (c_Message_Omsg_OAgent @ v_Ba) @
% 0.56/0.79 (c_Message_Omsg_OMPair @ (c_Message_Omsg_OKey @ v_K) @
% 0.56/0.79 (c_Message_Omsg_OMPair @ (c_Message_Omsg_ONonce @ v_NA) @
% 0.56/0.79 (c_Message_Omsg_ONonce @ v_NB))))) @
% 0.56/0.79 (c_Message_Oanalz @ (c_Event_Oknows @ c_Message_Oagent_OSpy @ v_evs4)) @
% 0.56/0.79 tc_Message_Omsg)),
% 0.56/0.79 inference('sup-', [status(thm)], [zip_derived_cl79, zip_derived_cl2])).
% 0.56/0.79 thf(cls_Message_Oanalz__conj__parts_0, axiom,
% 0.56/0.79 (( ~( c_in @ V_X @ ( c_Message_Oanalz @ V_H ) @ tc_Message_Omsg ) ) |
% 0.56/0.79 ( c_in @ V_X @ ( c_Message_Oparts @ V_H ) @ tc_Message_Omsg ))).
% 0.56/0.79 thf(zip_derived_cl0, plain,
% 0.56/0.79 (![X0 : $i, X1 : $i]:
% 0.56/0.79 (~ (c_in @ X0 @ (c_Message_Oanalz @ X1) @ tc_Message_Omsg)
% 0.56/0.79 | (c_in @ X0 @ (c_Message_Oparts @ X1) @ tc_Message_Omsg))),
% 0.56/0.79 inference('cnf', [status(esa)], [cls_Message_Oanalz__conj__parts_0])).
% 0.56/0.79 thf(cls_Yahalom_OB__trusts__YM4__shrK_0, axiom,
% 0.56/0.79 (( ~( c_in @
% 0.56/0.79 V_evs @ c_Yahalom_Oyahalom @ ( tc_List_Olist @ tc_Event_Oevent ) ) ) |
% 0.56/0.79 ( ~( c_in @
% 0.56/0.79 ( c_Message_Omsg_OCrypt @
% 0.56/0.79 ( c_Public_OshrK @ V_B ) @
% 0.56/0.79 ( c_Message_Omsg_OMPair @
% 0.56/0.79 ( c_Message_Omsg_OAgent @ V_A ) @ ( c_Message_Omsg_OKey @ V_K ) ) ) @
% 0.56/0.79 ( c_Message_Oparts @
% 0.56/0.79 ( c_Event_Oknows @ c_Message_Oagent_OSpy @ V_evs ) ) @
% 0.56/0.79 tc_Message_Omsg ) ) |
% 0.56/0.79 ( c_in @ V_B @ c_Event_Obad @ tc_Message_Oagent ) |
% 0.56/0.79 ( c_in @
% 0.56/0.79 ( c_Event_Oevent_OSays @
% 0.56/0.79 c_Message_Oagent_OServer @ V_A @
% 0.56/0.79 ( c_Message_Omsg_OMPair @
% 0.56/0.79 ( c_Message_Omsg_OCrypt @
% 0.56/0.79 ( c_Public_OshrK @ V_A ) @
% 0.56/0.79 ( c_Message_Omsg_OMPair @
% 0.56/0.79 ( c_Message_Omsg_OAgent @ V_B ) @
% 0.56/0.79 ( c_Message_Omsg_OMPair @
% 0.56/0.79 ( c_Message_Omsg_OKey @ V_K ) @
% 0.56/0.79 ( c_Message_Omsg_OMPair @
% 0.56/0.79 ( c_Message_Omsg_ONonce @
% 0.56/0.79 ( v_sko__2ji @ V_A @ V_B @ V_K @ V_evs ) ) @
% 0.56/0.79 ( c_Message_Omsg_ONonce @
% 0.56/0.79 ( v_sko__2jj @ V_A @ V_B @ V_K @ V_evs ) ) ) ) ) ) @
% 0.56/0.79 ( c_Message_Omsg_OCrypt @
% 0.56/0.79 ( c_Public_OshrK @ V_B ) @
% 0.56/0.79 ( c_Message_Omsg_OMPair @
% 0.56/0.79 ( c_Message_Omsg_OAgent @ V_A ) @ ( c_Message_Omsg_OKey @ V_K ) ) ) ) ) @
% 0.56/0.79 ( c_List_Oset @ V_evs @ tc_Event_Oevent ) @ tc_Event_Oevent ))).
% 0.56/0.79 thf(zip_derived_cl5, plain,
% 0.56/0.79 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.56/0.79 (~ (c_in @ X0 @ c_Yahalom_Oyahalom @ (tc_List_Olist @ tc_Event_Oevent))
% 0.56/0.79 | ~ (c_in @
% 0.56/0.79 (c_Message_Omsg_OCrypt @ (c_Public_OshrK @ X1) @
% 0.56/0.79 (c_Message_Omsg_OMPair @ (c_Message_Omsg_OAgent @ X2) @
% 0.56/0.79 (c_Message_Omsg_OKey @ X3))) @
% 0.56/0.79 (c_Message_Oparts @
% 0.56/0.79 (c_Event_Oknows @ c_Message_Oagent_OSpy @ X0)) @
% 0.56/0.79 tc_Message_Omsg)
% 0.56/0.79 | (c_in @ X1 @ c_Event_Obad @ tc_Message_Oagent)
% 0.56/0.79 | (c_in @
% 0.56/0.79 (c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ X2 @
% 0.56/0.79 (c_Message_Omsg_OMPair @
% 0.56/0.79 (c_Message_Omsg_OCrypt @ (c_Public_OshrK @ X2) @
% 0.56/0.79 (c_Message_Omsg_OMPair @ (c_Message_Omsg_OAgent @ X1) @
% 0.56/0.79 (c_Message_Omsg_OMPair @ (c_Message_Omsg_OKey @ X3) @
% 0.56/0.79 (c_Message_Omsg_OMPair @
% 0.56/0.79 (c_Message_Omsg_ONonce @ (v_sko__2ji @ X2 @ X1 @ X3 @ X0)) @
% 0.56/0.79 (c_Message_Omsg_ONonce @ (v_sko__2jj @ X2 @ X1 @ X3 @ X0)))))) @
% 0.56/0.79 (c_Message_Omsg_OCrypt @ (c_Public_OshrK @ X1) @
% 0.56/0.79 (c_Message_Omsg_OMPair @ (c_Message_Omsg_OAgent @ X2) @
% 0.56/0.79 (c_Message_Omsg_OKey @ X3))))) @
% 0.56/0.79 (c_List_Oset @ X0 @ tc_Event_Oevent) @ tc_Event_Oevent))),
% 0.56/0.79 inference('cnf', [status(esa)], [cls_Yahalom_OB__trusts__YM4__shrK_0])).
% 0.56/0.79 thf(zip_derived_cl9, plain,
% 0.56/0.79 ( (c_in @ v_evs4 @ c_Yahalom_Oyahalom @ (tc_List_Olist @ tc_Event_Oevent))),
% 0.56/0.79 inference('cnf', [status(esa)], [zf_stmt_2])).
% 0.56/0.79 thf(cls_Yahalom_OA__trusts__YM3_0, axiom,
% 0.56/0.79 (( ~( c_in @
% 0.56/0.79 V_evs @ c_Yahalom_Oyahalom @ ( tc_List_Olist @ tc_Event_Oevent ) ) ) |
% 0.56/0.79 ( ~( c_in @
% 0.56/0.79 ( c_Message_Omsg_OCrypt @
% 0.56/0.79 ( c_Public_OshrK @ V_A ) @
% 0.56/0.79 ( c_Message_Omsg_OMPair @
% 0.56/0.79 ( c_Message_Omsg_OAgent @ V_B ) @
% 0.56/0.79 ( c_Message_Omsg_OMPair @
% 0.56/0.79 ( c_Message_Omsg_OKey @ V_K ) @
% 0.56/0.79 ( c_Message_Omsg_OMPair @ V_na @ V_nb ) ) ) ) @
% 0.56/0.79 ( c_Message_Oparts @
% 0.56/0.79 ( c_Event_Oknows @ c_Message_Oagent_OSpy @ V_evs ) ) @
% 0.56/0.79 tc_Message_Omsg ) ) |
% 0.56/0.79 ( c_in @ V_A @ c_Event_Obad @ tc_Message_Oagent ) |
% 0.56/0.79 ( c_in @
% 0.56/0.79 ( c_Event_Oevent_OSays @
% 0.56/0.79 c_Message_Oagent_OServer @ V_A @
% 0.56/0.79 ( c_Message_Omsg_OMPair @
% 0.56/0.79 ( c_Message_Omsg_OCrypt @
% 0.56/0.79 ( c_Public_OshrK @ V_A ) @
% 0.56/0.79 ( c_Message_Omsg_OMPair @
% 0.56/0.79 ( c_Message_Omsg_OAgent @ V_B ) @
% 0.56/0.79 ( c_Message_Omsg_OMPair @
% 0.56/0.79 ( c_Message_Omsg_OKey @ V_K ) @
% 0.56/0.79 ( c_Message_Omsg_OMPair @ V_na @ V_nb ) ) ) ) @
% 0.56/0.79 ( c_Message_Omsg_OCrypt @
% 0.56/0.79 ( c_Public_OshrK @ V_B ) @
% 0.56/0.79 ( c_Message_Omsg_OMPair @
% 0.56/0.79 ( c_Message_Omsg_OAgent @ V_A ) @ ( c_Message_Omsg_OKey @ V_K ) ) ) ) ) @
% 0.56/0.79 ( c_List_Oset @ V_evs @ tc_Event_Oevent ) @ tc_Event_Oevent ))).
% 0.56/0.79 thf(zip_derived_cl4, plain,
% 0.56/0.79 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 0.56/0.79 (~ (c_in @ X0 @ c_Yahalom_Oyahalom @ (tc_List_Olist @ tc_Event_Oevent))
% 0.56/0.79 | ~ (c_in @
% 0.56/0.79 (c_Message_Omsg_OCrypt @ (c_Public_OshrK @ X1) @
% 0.56/0.79 (c_Message_Omsg_OMPair @ (c_Message_Omsg_OAgent @ X2) @
% 0.56/0.79 (c_Message_Omsg_OMPair @ (c_Message_Omsg_OKey @ X3) @
% 0.56/0.79 (c_Message_Omsg_OMPair @ X4 @ X5)))) @
% 0.56/0.79 (c_Message_Oparts @
% 0.56/0.79 (c_Event_Oknows @ c_Message_Oagent_OSpy @ X0)) @
% 0.56/0.79 tc_Message_Omsg)
% 0.56/0.79 | (c_in @ X1 @ c_Event_Obad @ tc_Message_Oagent)
% 0.56/0.79 | (c_in @
% 0.56/0.79 (c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ X1 @
% 0.56/0.79 (c_Message_Omsg_OMPair @
% 0.56/0.79 (c_Message_Omsg_OCrypt @ (c_Public_OshrK @ X1) @
% 0.56/0.79 (c_Message_Omsg_OMPair @ (c_Message_Omsg_OAgent @ X2) @
% 0.56/0.79 (c_Message_Omsg_OMPair @ (c_Message_Omsg_OKey @ X3) @
% 0.56/0.79 (c_Message_Omsg_OMPair @ X4 @ X5)))) @
% 0.56/0.79 (c_Message_Omsg_OCrypt @ (c_Public_OshrK @ X2) @
% 0.56/0.79 (c_Message_Omsg_OMPair @ (c_Message_Omsg_OAgent @ X1) @
% 0.56/0.79 (c_Message_Omsg_OKey @ X3))))) @
% 0.56/0.79 (c_List_Oset @ X0 @ tc_Event_Oevent) @ tc_Event_Oevent))),
% 0.56/0.79 inference('cnf', [status(esa)], [cls_Yahalom_OA__trusts__YM3_0])).
% 0.56/0.79 thf(zip_derived_cl86, plain,
% 0.56/0.79 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 0.56/0.79 ( (c_in @
% 0.56/0.79 (c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ X1 @
% 0.56/0.79 (c_Message_Omsg_OMPair @
% 0.56/0.79 (c_Message_Omsg_OCrypt @ (c_Public_OshrK @ X1) @
% 0.56/0.79 (c_Message_Omsg_OMPair @ (c_Message_Omsg_OAgent @ X2) @
% 0.56/0.79 (c_Message_Omsg_OMPair @ (c_Message_Omsg_OKey @ X0) @
% 0.56/0.79 (c_Message_Omsg_OMPair @ X4 @ X3)))) @
% 0.56/0.79 (c_Message_Omsg_OCrypt @ (c_Public_OshrK @ X2) @
% 0.56/0.79 (c_Message_Omsg_OMPair @ (c_Message_Omsg_OAgent @ X1) @
% 0.56/0.79 (c_Message_Omsg_OKey @ X0))))) @
% 0.56/0.79 (c_List_Oset @ v_evs4 @ tc_Event_Oevent) @ tc_Event_Oevent)
% 0.56/0.79 | (c_in @ X1 @ c_Event_Obad @ tc_Message_Oagent)
% 0.56/0.79 | ~ (c_in @
% 0.56/0.79 (c_Message_Omsg_OCrypt @ (c_Public_OshrK @ X1) @
% 0.56/0.79 (c_Message_Omsg_OMPair @ (c_Message_Omsg_OAgent @ X2) @
% 0.56/0.79 (c_Message_Omsg_OMPair @ (c_Message_Omsg_OKey @ X0) @
% 0.56/0.79 (c_Message_Omsg_OMPair @ X4 @ X3)))) @
% 0.56/0.79 (c_Message_Oparts @
% 0.56/0.79 (c_Event_Oknows @ c_Message_Oagent_OSpy @ v_evs4)) @
% 0.56/0.79 tc_Message_Omsg))),
% 0.56/0.79 inference('sup-', [status(thm)], [zip_derived_cl9, zip_derived_cl4])).
% 0.56/0.79 thf(cls_Yahalom_Ounique__session__keys_0, axiom,
% 0.56/0.79 (( ~( c_in @
% 0.56/0.79 V_evs @ c_Yahalom_Oyahalom @ ( tc_List_Olist @ tc_Event_Oevent ) ) ) |
% 0.56/0.79 ( ~( c_in @
% 0.56/0.79 ( c_Event_Oevent_OSays @
% 0.56/0.79 c_Message_Oagent_OServer @ V_A_H @
% 0.56/0.79 ( c_Message_Omsg_OMPair @
% 0.56/0.79 ( c_Message_Omsg_OCrypt @
% 0.56/0.79 ( c_Public_OshrK @ V_A_H ) @
% 0.56/0.79 ( c_Message_Omsg_OMPair @
% 0.56/0.79 ( c_Message_Omsg_OAgent @ V_B_H ) @
% 0.56/0.79 ( c_Message_Omsg_OMPair @
% 0.56/0.79 ( c_Message_Omsg_OKey @ V_K ) @
% 0.56/0.79 ( c_Message_Omsg_OMPair @ V_na_H @ V_nb_H ) ) ) ) @
% 0.56/0.79 V_X_H ) ) @
% 0.56/0.79 ( c_List_Oset @ V_evs @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) |
% 0.56/0.79 ( ~( c_in @
% 0.56/0.79 ( c_Event_Oevent_OSays @
% 0.56/0.79 c_Message_Oagent_OServer @ V_A @
% 0.56/0.79 ( c_Message_Omsg_OMPair @
% 0.56/0.79 ( c_Message_Omsg_OCrypt @
% 0.56/0.79 ( c_Public_OshrK @ V_A ) @
% 0.56/0.79 ( c_Message_Omsg_OMPair @
% 0.56/0.79 ( c_Message_Omsg_OAgent @ V_B ) @
% 0.56/0.79 ( c_Message_Omsg_OMPair @
% 0.56/0.79 ( c_Message_Omsg_OKey @ V_K ) @
% 0.56/0.79 ( c_Message_Omsg_OMPair @ V_na @ V_nb ) ) ) ) @
% 0.56/0.79 V_X ) ) @
% 0.56/0.79 ( c_List_Oset @ V_evs @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) |
% 0.56/0.79 ( ( V_A ) = ( V_A_H ) ))).
% 0.56/0.79 thf(zip_derived_cl7, plain,
% 0.56/0.79 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 0.56/0.79 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i]:
% 0.56/0.79 (~ (c_in @ X0 @ c_Yahalom_Oyahalom @ (tc_List_Olist @ tc_Event_Oevent))
% 0.56/0.79 | ~ (c_in @
% 0.56/0.79 (c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ X1 @
% 0.56/0.79 (c_Message_Omsg_OMPair @
% 0.56/0.79 (c_Message_Omsg_OCrypt @ (c_Public_OshrK @ X1) @
% 0.56/0.79 (c_Message_Omsg_OMPair @ (c_Message_Omsg_OAgent @ X2) @
% 0.56/0.79 (c_Message_Omsg_OMPair @ (c_Message_Omsg_OKey @ X3) @
% 0.56/0.79 (c_Message_Omsg_OMPair @ X4 @ X5)))) @
% 0.56/0.79 X6)) @
% 0.56/0.79 (c_List_Oset @ X0 @ tc_Event_Oevent) @ tc_Event_Oevent)
% 0.56/0.79 | ~ (c_in @
% 0.56/0.79 (c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ X7 @
% 0.56/0.79 (c_Message_Omsg_OMPair @
% 0.56/0.79 (c_Message_Omsg_OCrypt @ (c_Public_OshrK @ X7) @
% 0.56/0.79 (c_Message_Omsg_OMPair @ (c_Message_Omsg_OAgent @ X8) @
% 0.56/0.79 (c_Message_Omsg_OMPair @ (c_Message_Omsg_OKey @ X3) @
% 0.56/0.79 (c_Message_Omsg_OMPair @ X9 @ X10)))) @
% 0.56/0.79 X11)) @
% 0.56/0.79 (c_List_Oset @ X0 @ tc_Event_Oevent) @ tc_Event_Oevent)
% 0.56/0.79 | ((X7) = (X1)))),
% 0.56/0.79 inference('cnf', [status(esa)], [cls_Yahalom_Ounique__session__keys_0])).
% 0.56/0.79 thf(zip_derived_cl98, plain,
% 0.56/0.79 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 0.56/0.79 X7 : $i, X8 : $i, X9 : $i]:
% 0.56/0.79 (~ (c_in @
% 0.56/0.79 (c_Message_Omsg_OCrypt @ (c_Public_OshrK @ X1) @
% 0.56/0.79 (c_Message_Omsg_OMPair @ (c_Message_Omsg_OAgent @ X2) @
% 0.56/0.79 (c_Message_Omsg_OMPair @ (c_Message_Omsg_OKey @ X0) @
% 0.56/0.79 (c_Message_Omsg_OMPair @ X4 @ X3)))) @
% 0.56/0.79 (c_Message_Oparts @
% 0.56/0.79 (c_Event_Oknows @ c_Message_Oagent_OSpy @ v_evs4)) @
% 0.56/0.79 tc_Message_Omsg)
% 0.56/0.79 | (c_in @ X1 @ c_Event_Obad @ tc_Message_Oagent)
% 0.56/0.79 | ((X5) = (X1))
% 0.56/0.79 | ~ (c_in @
% 0.56/0.79 (c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ X5 @
% 0.56/0.79 (c_Message_Omsg_OMPair @
% 0.56/0.79 (c_Message_Omsg_OCrypt @ (c_Public_OshrK @ X5) @
% 0.56/0.79 (c_Message_Omsg_OMPair @ (c_Message_Omsg_OAgent @ X9) @
% 0.56/0.79 (c_Message_Omsg_OMPair @ (c_Message_Omsg_OKey @ X0) @
% 0.56/0.79 (c_Message_Omsg_OMPair @ X8 @ X7)))) @
% 0.56/0.79 X6)) @
% 0.56/0.79 (c_List_Oset @ v_evs4 @ tc_Event_Oevent) @ tc_Event_Oevent)
% 0.56/0.79 | ~ (c_in @ v_evs4 @ c_Yahalom_Oyahalom @
% 0.56/0.79 (tc_List_Olist @ tc_Event_Oevent)))),
% 0.56/0.79 inference('sup-', [status(thm)], [zip_derived_cl86, zip_derived_cl7])).
% 0.56/0.79 thf(zip_derived_cl9, plain,
% 0.56/0.79 ( (c_in @ v_evs4 @ c_Yahalom_Oyahalom @ (tc_List_Olist @ tc_Event_Oevent))),
% 0.56/0.79 inference('cnf', [status(esa)], [zf_stmt_2])).
% 0.56/0.79 thf(zip_derived_cl100, plain,
% 0.56/0.79 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 0.56/0.79 X7 : $i, X8 : $i, X9 : $i]:
% 0.56/0.79 (~ (c_in @
% 0.56/0.79 (c_Message_Omsg_OCrypt @ (c_Public_OshrK @ X1) @
% 0.56/0.79 (c_Message_Omsg_OMPair @ (c_Message_Omsg_OAgent @ X2) @
% 0.56/0.79 (c_Message_Omsg_OMPair @ (c_Message_Omsg_OKey @ X0) @
% 0.56/0.79 (c_Message_Omsg_OMPair @ X4 @ X3)))) @
% 0.56/0.79 (c_Message_Oparts @
% 0.56/0.79 (c_Event_Oknows @ c_Message_Oagent_OSpy @ v_evs4)) @
% 0.56/0.79 tc_Message_Omsg)
% 0.56/0.79 | (c_in @ X1 @ c_Event_Obad @ tc_Message_Oagent)
% 0.56/0.79 | ((X5) = (X1))
% 0.56/0.79 | ~ (c_in @
% 0.56/0.79 (c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ X5 @
% 0.56/0.79 (c_Message_Omsg_OMPair @
% 0.56/0.79 (c_Message_Omsg_OCrypt @ (c_Public_OshrK @ X5) @
% 0.56/0.79 (c_Message_Omsg_OMPair @ (c_Message_Omsg_OAgent @ X9) @
% 0.56/0.79 (c_Message_Omsg_OMPair @ (c_Message_Omsg_OKey @ X0) @
% 0.56/0.79 (c_Message_Omsg_OMPair @ X8 @ X7)))) @
% 0.56/0.79 X6)) @
% 0.56/0.79 (c_List_Oset @ v_evs4 @ tc_Event_Oevent) @ tc_Event_Oevent))),
% 0.56/0.79 inference('demod', [status(thm)], [zip_derived_cl98, zip_derived_cl9])).
% 0.56/0.79 thf(zip_derived_cl105, plain,
% 0.56/0.79 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 0.56/0.79 ( (c_in @ X2 @ c_Event_Obad @ tc_Message_Oagent)
% 0.56/0.79 | ~ (c_in @
% 0.56/0.79 (c_Message_Omsg_OCrypt @ (c_Public_OshrK @ X2) @
% 0.56/0.79 (c_Message_Omsg_OMPair @ (c_Message_Omsg_OAgent @ X1) @
% 0.56/0.79 (c_Message_Omsg_OKey @ X0))) @
% 0.56/0.79 (c_Message_Oparts @
% 0.56/0.79 (c_Event_Oknows @ c_Message_Oagent_OSpy @ v_evs4)) @
% 0.56/0.79 tc_Message_Omsg)
% 0.56/0.79 | ~ (c_in @ v_evs4 @ c_Yahalom_Oyahalom @
% 0.56/0.79 (tc_List_Olist @ tc_Event_Oevent))
% 0.56/0.79 | ((X1) = (X3))
% 0.56/0.79 | (c_in @ X3 @ c_Event_Obad @ tc_Message_Oagent)
% 0.56/0.79 | ~ (c_in @
% 0.56/0.79 (c_Message_Omsg_OCrypt @ (c_Public_OshrK @ X3) @
% 0.56/0.79 (c_Message_Omsg_OMPair @ (c_Message_Omsg_OAgent @ X6) @
% 0.56/0.79 (c_Message_Omsg_OMPair @ (c_Message_Omsg_OKey @ X0) @
% 0.56/0.79 (c_Message_Omsg_OMPair @ X5 @ X4)))) @
% 0.56/0.79 (c_Message_Oparts @
% 0.56/0.79 (c_Event_Oknows @ c_Message_Oagent_OSpy @ v_evs4)) @
% 0.56/0.79 tc_Message_Omsg))),
% 0.56/0.79 inference('sup-', [status(thm)], [zip_derived_cl5, zip_derived_cl100])).
% 0.56/0.79 thf(zip_derived_cl9, plain,
% 0.56/0.79 ( (c_in @ v_evs4 @ c_Yahalom_Oyahalom @ (tc_List_Olist @ tc_Event_Oevent))),
% 0.56/0.79 inference('cnf', [status(esa)], [zf_stmt_2])).
% 0.56/0.79 thf(zip_derived_cl108, plain,
% 0.56/0.79 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 0.56/0.79 ( (c_in @ X2 @ c_Event_Obad @ tc_Message_Oagent)
% 0.56/0.79 | ~ (c_in @
% 0.56/0.79 (c_Message_Omsg_OCrypt @ (c_Public_OshrK @ X2) @
% 0.56/0.79 (c_Message_Omsg_OMPair @ (c_Message_Omsg_OAgent @ X1) @
% 0.56/0.79 (c_Message_Omsg_OKey @ X0))) @
% 0.56/0.79 (c_Message_Oparts @
% 0.56/0.79 (c_Event_Oknows @ c_Message_Oagent_OSpy @ v_evs4)) @
% 0.56/0.79 tc_Message_Omsg)
% 0.56/0.79 | ((X1) = (X3))
% 0.56/0.79 | (c_in @ X3 @ c_Event_Obad @ tc_Message_Oagent)
% 0.56/0.79 | ~ (c_in @
% 0.56/0.79 (c_Message_Omsg_OCrypt @ (c_Public_OshrK @ X3) @
% 0.56/0.79 (c_Message_Omsg_OMPair @ (c_Message_Omsg_OAgent @ X6) @
% 0.56/0.79 (c_Message_Omsg_OMPair @ (c_Message_Omsg_OKey @ X0) @
% 0.56/0.79 (c_Message_Omsg_OMPair @ X5 @ X4)))) @
% 0.56/0.79 (c_Message_Oparts @
% 0.56/0.79 (c_Event_Oknows @ c_Message_Oagent_OSpy @ v_evs4)) @
% 0.56/0.79 tc_Message_Omsg))),
% 0.56/0.79 inference('demod', [status(thm)], [zip_derived_cl105, zip_derived_cl9])).
% 0.56/0.79 thf(zip_derived_cl109, plain,
% 0.56/0.79 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 0.56/0.79 (~ (c_in @
% 0.56/0.79 (c_Message_Omsg_OCrypt @ (c_Public_OshrK @ X4) @
% 0.56/0.79 (c_Message_Omsg_OMPair @ (c_Message_Omsg_OAgent @ X3) @
% 0.56/0.79 (c_Message_Omsg_OMPair @ (c_Message_Omsg_OKey @ X2) @
% 0.56/0.79 (c_Message_Omsg_OMPair @ X1 @ X0)))) @
% 0.56/0.79 (c_Message_Oanalz @
% 0.56/0.79 (c_Event_Oknows @ c_Message_Oagent_OSpy @ v_evs4)) @
% 0.56/0.79 tc_Message_Omsg)
% 0.56/0.79 | (c_in @ X4 @ c_Event_Obad @ tc_Message_Oagent)
% 0.56/0.79 | ((X5) = (X4))
% 0.56/0.79 | ~ (c_in @
% 0.56/0.79 (c_Message_Omsg_OCrypt @ (c_Public_OshrK @ X6) @
% 0.56/0.79 (c_Message_Omsg_OMPair @ (c_Message_Omsg_OAgent @ X5) @
% 0.56/0.79 (c_Message_Omsg_OKey @ X2))) @
% 0.56/0.79 (c_Message_Oparts @
% 0.56/0.79 (c_Event_Oknows @ c_Message_Oagent_OSpy @ v_evs4)) @
% 0.56/0.79 tc_Message_Omsg)
% 0.56/0.79 | (c_in @ X6 @ c_Event_Obad @ tc_Message_Oagent))),
% 0.56/0.79 inference('sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl108])).
% 0.56/0.79 thf(zip_derived_cl110, plain,
% 0.56/0.79 (![X0 : $i, X1 : $i]:
% 0.56/0.79 ( (c_in @ X0 @ c_Event_Obad @ tc_Message_Oagent)
% 0.56/0.79 | ~ (c_in @
% 0.56/0.79 (c_Message_Omsg_OCrypt @ (c_Public_OshrK @ X0) @
% 0.56/0.79 (c_Message_Omsg_OMPair @ (c_Message_Omsg_OAgent @ X1) @
% 0.56/0.79 (c_Message_Omsg_OKey @ v_K))) @
% 0.56/0.79 (c_Message_Oparts @
% 0.56/0.79 (c_Event_Oknows @ c_Message_Oagent_OSpy @ v_evs4)) @
% 0.56/0.79 tc_Message_Omsg)
% 0.56/0.79 | ((X1) = (v_Aa))
% 0.56/0.79 | (c_in @ v_Aa @ c_Event_Obad @ tc_Message_Oagent))),
% 0.56/0.79 inference('sup-', [status(thm)], [zip_derived_cl81, zip_derived_cl109])).
% 0.56/0.79 thf(zip_derived_cl81, plain,
% 0.56/0.79 ( (c_in @
% 0.56/0.79 (c_Message_Omsg_OCrypt @ (c_Public_OshrK @ v_Aa) @
% 0.56/0.79 (c_Message_Omsg_OMPair @ (c_Message_Omsg_OAgent @ v_Ba) @
% 0.56/0.79 (c_Message_Omsg_OMPair @ (c_Message_Omsg_OKey @ v_K) @
% 0.56/0.79 (c_Message_Omsg_OMPair @ (c_Message_Omsg_ONonce @ v_NA) @
% 0.56/0.79 (c_Message_Omsg_ONonce @ v_NB))))) @
% 0.56/0.79 (c_Message_Oanalz @ (c_Event_Oknows @ c_Message_Oagent_OSpy @ v_evs4)) @
% 0.56/0.79 tc_Message_Omsg)),
% 0.56/0.79 inference('sup-', [status(thm)], [zip_derived_cl79, zip_derived_cl2])).
% 0.56/0.79 thf(cls_Public_OCrypt__Spy__analz__bad_0, axiom,
% 0.56/0.79 (( ~( c_in @ V_A @ c_Event_Obad @ tc_Message_Oagent ) ) |
% 0.56/0.79 ( ~( c_in @
% 0.56/0.79 ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ V_A ) @ V_X ) @
% 0.56/0.79 ( c_Message_Oanalz @
% 0.56/0.79 ( c_Event_Oknows @ c_Message_Oagent_OSpy @ V_evs ) ) @
% 0.56/0.79 tc_Message_Omsg ) ) |
% 0.56/0.79 ( c_in @
% 0.56/0.79 V_X @
% 0.56/0.79 ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ V_evs ) ) @
% 0.56/0.79 tc_Message_Omsg ))).
% 0.56/0.79 thf(zip_derived_cl3, plain,
% 0.56/0.79 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.56/0.79 (~ (c_in @ X0 @ c_Event_Obad @ tc_Message_Oagent)
% 0.56/0.79 | ~ (c_in @ (c_Message_Omsg_OCrypt @ (c_Public_OshrK @ X0) @ X1) @
% 0.56/0.79 (c_Message_Oanalz @
% 0.56/0.79 (c_Event_Oknows @ c_Message_Oagent_OSpy @ X2)) @
% 0.56/0.79 tc_Message_Omsg)
% 0.56/0.79 | (c_in @ X1 @
% 0.56/0.79 (c_Message_Oanalz @ (c_Event_Oknows @ c_Message_Oagent_OSpy @ X2)) @
% 0.56/0.79 tc_Message_Omsg))),
% 0.56/0.79 inference('cnf', [status(esa)], [cls_Public_OCrypt__Spy__analz__bad_0])).
% 0.56/0.79 thf(zip_derived_cl84, plain,
% 0.56/0.79 (( (c_in @
% 0.56/0.79 (c_Message_Omsg_OMPair @ (c_Message_Omsg_OAgent @ v_Ba) @
% 0.56/0.79 (c_Message_Omsg_OMPair @ (c_Message_Omsg_OKey @ v_K) @
% 0.56/0.79 (c_Message_Omsg_OMPair @ (c_Message_Omsg_ONonce @ v_NA) @
% 0.56/0.79 (c_Message_Omsg_ONonce @ v_NB)))) @
% 0.56/0.79 (c_Message_Oanalz @ (c_Event_Oknows @ c_Message_Oagent_OSpy @ v_evs4)) @
% 0.56/0.79 tc_Message_Omsg)
% 0.56/0.79 | ~ (c_in @ v_Aa @ c_Event_Obad @ tc_Message_Oagent))),
% 0.56/0.79 inference('sup-', [status(thm)], [zip_derived_cl81, zip_derived_cl3])).
% 0.56/0.79 thf(cls_Message_OMPair__analz_0, axiom,
% 0.56/0.79 (( ~( c_in @
% 0.56/0.79 ( c_Message_Omsg_OMPair @ V_X @ V_Y ) @ ( c_Message_Oanalz @ V_H ) @
% 0.56/0.79 tc_Message_Omsg ) ) |
% 0.56/0.79 ( c_in @ V_Y @ ( c_Message_Oanalz @ V_H ) @ tc_Message_Omsg ))).
% 0.56/0.79 thf(zip_derived_cl1, plain,
% 0.56/0.79 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.56/0.79 (~ (c_in @ (c_Message_Omsg_OMPair @ X0 @ X1) @
% 0.56/0.79 (c_Message_Oanalz @ X2) @ tc_Message_Omsg)
% 0.56/0.79 | (c_in @ X1 @ (c_Message_Oanalz @ X2) @ tc_Message_Omsg))),
% 0.56/0.79 inference('cnf', [status(esa)], [cls_Message_OMPair__analz_0])).
% 0.56/0.79 thf(zip_derived_cl87, plain,
% 0.56/0.79 ((~ (c_in @ v_Aa @ c_Event_Obad @ tc_Message_Oagent)
% 0.56/0.79 | (c_in @
% 0.56/0.79 (c_Message_Omsg_OMPair @ (c_Message_Omsg_OKey @ v_K) @
% 0.56/0.79 (c_Message_Omsg_OMPair @ (c_Message_Omsg_ONonce @ v_NA) @
% 0.56/0.79 (c_Message_Omsg_ONonce @ v_NB))) @
% 0.56/0.79 (c_Message_Oanalz @
% 0.56/0.79 (c_Event_Oknows @ c_Message_Oagent_OSpy @ v_evs4)) @
% 0.56/0.79 tc_Message_Omsg))),
% 0.56/0.79 inference('sup-', [status(thm)], [zip_derived_cl84, zip_derived_cl1])).
% 0.56/0.79 thf(zip_derived_cl2, plain,
% 0.56/0.79 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.56/0.79 (~ (c_in @ (c_Message_Omsg_OMPair @ X0 @ X1) @
% 0.56/0.79 (c_Message_Oanalz @ X2) @ tc_Message_Omsg)
% 0.56/0.79 | (c_in @ X0 @ (c_Message_Oanalz @ X2) @ tc_Message_Omsg))),
% 0.56/0.79 inference('cnf', [status(esa)], [cls_Message_OMPair__analz_1])).
% 0.56/0.79 thf(zip_derived_cl92, plain,
% 0.56/0.79 ((~ (c_in @ v_Aa @ c_Event_Obad @ tc_Message_Oagent)
% 0.56/0.79 | (c_in @ (c_Message_Omsg_OKey @ v_K) @
% 0.56/0.79 (c_Message_Oanalz @
% 0.56/0.79 (c_Event_Oknows @ c_Message_Oagent_OSpy @ v_evs4)) @
% 0.56/0.79 tc_Message_Omsg))),
% 0.56/0.79 inference('sup-', [status(thm)], [zip_derived_cl87, zip_derived_cl2])).
% 0.56/0.79 thf(cls_conjecture_6, conjecture,
% 0.56/0.79 (c_in @
% 0.56/0.79 ( c_Message_Omsg_OKey @ v_K ) @
% 0.56/0.79 ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ v_evs4 ) ) @
% 0.56/0.79 tc_Message_Omsg)).
% 0.56/0.79 thf(zf_stmt_3, negated_conjecture,
% 0.56/0.79 (~( c_in @
% 0.56/0.79 ( c_Message_Omsg_OKey @ v_K ) @
% 0.56/0.79 ( c_Message_Oanalz @
% 0.56/0.79 ( c_Event_Oknows @ c_Message_Oagent_OSpy @ v_evs4 ) ) @
% 0.56/0.79 tc_Message_Omsg )),
% 0.56/0.79 inference('cnf.neg', [status(esa)], [cls_conjecture_6])).
% 0.56/0.79 thf(zip_derived_cl12, plain,
% 0.56/0.79 (~ (c_in @ (c_Message_Omsg_OKey @ v_K) @
% 0.56/0.79 (c_Message_Oanalz @ (c_Event_Oknows @ c_Message_Oagent_OSpy @ v_evs4)) @
% 0.56/0.79 tc_Message_Omsg)),
% 0.56/0.79 inference('cnf', [status(esa)], [zf_stmt_3])).
% 0.56/0.79 thf(zip_derived_cl95, plain,
% 0.56/0.79 (~ (c_in @ v_Aa @ c_Event_Obad @ tc_Message_Oagent)),
% 0.56/0.79 inference('clc', [status(thm)], [zip_derived_cl92, zip_derived_cl12])).
% 0.56/0.79 thf(zip_derived_cl111, plain,
% 0.56/0.79 (![X0 : $i, X1 : $i]:
% 0.56/0.79 ( (c_in @ X0 @ c_Event_Obad @ tc_Message_Oagent)
% 0.56/0.79 | ~ (c_in @
% 0.56/0.79 (c_Message_Omsg_OCrypt @ (c_Public_OshrK @ X0) @
% 0.56/0.79 (c_Message_Omsg_OMPair @ (c_Message_Omsg_OAgent @ X1) @
% 0.56/0.79 (c_Message_Omsg_OKey @ v_K))) @
% 0.56/0.79 (c_Message_Oparts @
% 0.56/0.79 (c_Event_Oknows @ c_Message_Oagent_OSpy @ v_evs4)) @
% 0.56/0.79 tc_Message_Omsg)
% 0.56/0.79 | ((X1) = (v_Aa)))),
% 0.56/0.79 inference('demod', [status(thm)], [zip_derived_cl110, zip_derived_cl95])).
% 0.56/0.79 thf(cls_conjecture_8, conjecture,
% 0.56/0.79 (~( c_in @
% 0.56/0.79 ( c_Message_Omsg_OCrypt @
% 0.56/0.79 ( c_Public_OshrK @ v_B ) @
% 0.56/0.79 ( c_Message_Omsg_OMPair @
% 0.56/0.79 ( c_Message_Omsg_OAgent @ v_A ) @ ( c_Message_Omsg_OKey @ v_K ) ) ) @
% 0.56/0.79 ( c_Message_Oparts @
% 0.56/0.79 ( c_Event_Oknows @ c_Message_Oagent_OSpy @ v_evs4 ) ) @
% 0.56/0.79 tc_Message_Omsg ))).
% 0.56/0.79 thf(zf_stmt_4, negated_conjecture,
% 0.56/0.79 (c_in @
% 0.56/0.79 ( c_Message_Omsg_OCrypt @
% 0.56/0.79 ( c_Public_OshrK @ v_B ) @
% 0.56/0.79 ( c_Message_Omsg_OMPair @
% 0.56/0.79 ( c_Message_Omsg_OAgent @ v_A ) @ ( c_Message_Omsg_OKey @ v_K ) ) ) @
% 0.56/0.79 ( c_Message_Oparts @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ v_evs4 ) ) @
% 0.56/0.79 tc_Message_Omsg),
% 0.56/0.79 inference('cnf.neg', [status(esa)], [cls_conjecture_8])).
% 0.56/0.79 thf(zip_derived_cl13, plain,
% 0.56/0.79 ( (c_in @
% 0.56/0.79 (c_Message_Omsg_OCrypt @ (c_Public_OshrK @ v_B) @
% 0.56/0.79 (c_Message_Omsg_OMPair @ (c_Message_Omsg_OAgent @ v_A) @
% 0.56/0.79 (c_Message_Omsg_OKey @ v_K))) @
% 0.56/0.79 (c_Message_Oparts @ (c_Event_Oknows @ c_Message_Oagent_OSpy @ v_evs4)) @
% 0.56/0.79 tc_Message_Omsg)),
% 0.56/0.79 inference('cnf', [status(esa)], [zf_stmt_4])).
% 0.56/0.79 thf(zip_derived_cl113, plain,
% 0.56/0.79 ((((v_A) = (v_Aa)) | (c_in @ v_B @ c_Event_Obad @ tc_Message_Oagent))),
% 0.56/0.79 inference('sup+', [status(thm)], [zip_derived_cl111, zip_derived_cl13])).
% 0.56/0.79 thf(cls_conjecture_9, conjecture,
% 0.56/0.79 (c_in @ v_B @ c_Event_Obad @ tc_Message_Oagent)).
% 0.56/0.79 thf(zf_stmt_5, negated_conjecture,
% 0.56/0.79 (~( c_in @ v_B @ c_Event_Obad @ tc_Message_Oagent )),
% 0.56/0.79 inference('cnf.neg', [status(esa)], [cls_conjecture_9])).
% 0.56/0.79 thf(zip_derived_cl14, plain,
% 0.56/0.79 (~ (c_in @ v_B @ c_Event_Obad @ tc_Message_Oagent)),
% 0.56/0.79 inference('cnf', [status(esa)], [zf_stmt_5])).
% 0.56/0.79 thf(zip_derived_cl116, plain, (((v_A) = (v_Aa))),
% 0.56/0.79 inference('clc', [status(thm)], [zip_derived_cl113, zip_derived_cl14])).
% 0.56/0.79 thf(zip_derived_cl117, plain,
% 0.56/0.79 (![X0 : $i]: (((v_A) != (v_A)) | ((v_B) != (v_Ba)) | ((X0) != (v_X)))),
% 0.56/0.79 inference('demod', [status(thm)], [zip_derived_cl10, zip_derived_cl116])).
% 0.56/0.79 thf(zip_derived_cl118, plain,
% 0.56/0.79 (![X0 : $i]: (((X0) != (v_X)) | ((v_B) != (v_Ba)))),
% 0.56/0.79 inference('simplify', [status(thm)], [zip_derived_cl117])).
% 0.56/0.79 thf(zip_derived_cl81, plain,
% 0.56/0.79 ( (c_in @
% 0.56/0.79 (c_Message_Omsg_OCrypt @ (c_Public_OshrK @ v_Aa) @
% 0.56/0.79 (c_Message_Omsg_OMPair @ (c_Message_Omsg_OAgent @ v_Ba) @
% 0.56/0.79 (c_Message_Omsg_OMPair @ (c_Message_Omsg_OKey @ v_K) @
% 0.56/0.79 (c_Message_Omsg_OMPair @ (c_Message_Omsg_ONonce @ v_NA) @
% 0.56/0.79 (c_Message_Omsg_ONonce @ v_NB))))) @
% 0.56/0.79 (c_Message_Oanalz @ (c_Event_Oknows @ c_Message_Oagent_OSpy @ v_evs4)) @
% 0.56/0.79 tc_Message_Omsg)),
% 0.56/0.79 inference('sup-', [status(thm)], [zip_derived_cl79, zip_derived_cl2])).
% 0.56/0.79 thf(zip_derived_cl116, plain, (((v_A) = (v_Aa))),
% 0.56/0.79 inference('clc', [status(thm)], [zip_derived_cl113, zip_derived_cl14])).
% 0.56/0.79 thf(zip_derived_cl121, plain,
% 0.56/0.79 ( (c_in @
% 0.56/0.79 (c_Message_Omsg_OCrypt @ (c_Public_OshrK @ v_A) @
% 0.56/0.79 (c_Message_Omsg_OMPair @ (c_Message_Omsg_OAgent @ v_Ba) @
% 0.56/0.79 (c_Message_Omsg_OMPair @ (c_Message_Omsg_OKey @ v_K) @
% 0.56/0.79 (c_Message_Omsg_OMPair @ (c_Message_Omsg_ONonce @ v_NA) @
% 0.56/0.79 (c_Message_Omsg_ONonce @ v_NB))))) @
% 0.56/0.79 (c_Message_Oanalz @ (c_Event_Oknows @ c_Message_Oagent_OSpy @ v_evs4)) @
% 0.56/0.79 tc_Message_Omsg)),
% 0.56/0.79 inference('demod', [status(thm)], [zip_derived_cl81, zip_derived_cl116])).
% 0.56/0.79 thf(zip_derived_cl0, plain,
% 0.56/0.79 (![X0 : $i, X1 : $i]:
% 0.56/0.79 (~ (c_in @ X0 @ (c_Message_Oanalz @ X1) @ tc_Message_Omsg)
% 0.56/0.79 | (c_in @ X0 @ (c_Message_Oparts @ X1) @ tc_Message_Omsg))),
% 0.56/0.79 inference('cnf', [status(esa)], [cls_Message_Oanalz__conj__parts_0])).
% 0.56/0.79 thf(zip_derived_cl5, plain,
% 0.56/0.79 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.56/0.79 (~ (c_in @ X0 @ c_Yahalom_Oyahalom @ (tc_List_Olist @ tc_Event_Oevent))
% 0.56/0.79 | ~ (c_in @
% 0.56/0.79 (c_Message_Omsg_OCrypt @ (c_Public_OshrK @ X1) @
% 0.56/0.79 (c_Message_Omsg_OMPair @ (c_Message_Omsg_OAgent @ X2) @
% 0.56/0.79 (c_Message_Omsg_OKey @ X3))) @
% 0.56/0.79 (c_Message_Oparts @
% 0.56/0.79 (c_Event_Oknows @ c_Message_Oagent_OSpy @ X0)) @
% 0.56/0.79 tc_Message_Omsg)
% 0.56/0.79 | (c_in @ X1 @ c_Event_Obad @ tc_Message_Oagent)
% 0.56/0.79 | (c_in @
% 0.56/0.79 (c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ X2 @
% 0.56/0.79 (c_Message_Omsg_OMPair @
% 0.56/0.79 (c_Message_Omsg_OCrypt @ (c_Public_OshrK @ X2) @
% 0.56/0.79 (c_Message_Omsg_OMPair @ (c_Message_Omsg_OAgent @ X1) @
% 0.56/0.79 (c_Message_Omsg_OMPair @ (c_Message_Omsg_OKey @ X3) @
% 0.56/0.79 (c_Message_Omsg_OMPair @
% 0.56/0.79 (c_Message_Omsg_ONonce @ (v_sko__2ji @ X2 @ X1 @ X3 @ X0)) @
% 0.56/0.79 (c_Message_Omsg_ONonce @ (v_sko__2jj @ X2 @ X1 @ X3 @ X0)))))) @
% 0.56/0.79 (c_Message_Omsg_OCrypt @ (c_Public_OshrK @ X1) @
% 0.56/0.79 (c_Message_Omsg_OMPair @ (c_Message_Omsg_OAgent @ X2) @
% 0.56/0.79 (c_Message_Omsg_OKey @ X3))))) @
% 0.56/0.79 (c_List_Oset @ X0 @ tc_Event_Oevent) @ tc_Event_Oevent))),
% 0.56/0.79 inference('cnf', [status(esa)], [cls_Yahalom_OB__trusts__YM4__shrK_0])).
% 0.56/0.79 thf(zip_derived_cl86, plain,
% 0.56/0.79 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 0.56/0.79 ( (c_in @
% 0.56/0.79 (c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ X1 @
% 0.56/0.79 (c_Message_Omsg_OMPair @
% 0.56/0.79 (c_Message_Omsg_OCrypt @ (c_Public_OshrK @ X1) @
% 0.56/0.79 (c_Message_Omsg_OMPair @ (c_Message_Omsg_OAgent @ X2) @
% 0.56/0.79 (c_Message_Omsg_OMPair @ (c_Message_Omsg_OKey @ X0) @
% 0.56/0.79 (c_Message_Omsg_OMPair @ X4 @ X3)))) @
% 0.56/0.79 (c_Message_Omsg_OCrypt @ (c_Public_OshrK @ X2) @
% 0.56/0.79 (c_Message_Omsg_OMPair @ (c_Message_Omsg_OAgent @ X1) @
% 0.56/0.79 (c_Message_Omsg_OKey @ X0))))) @
% 0.56/0.79 (c_List_Oset @ v_evs4 @ tc_Event_Oevent) @ tc_Event_Oevent)
% 0.56/0.79 | (c_in @ X1 @ c_Event_Obad @ tc_Message_Oagent)
% 0.56/0.79 | ~ (c_in @
% 0.56/0.79 (c_Message_Omsg_OCrypt @ (c_Public_OshrK @ X1) @
% 0.56/0.79 (c_Message_Omsg_OMPair @ (c_Message_Omsg_OAgent @ X2) @
% 0.56/0.79 (c_Message_Omsg_OMPair @ (c_Message_Omsg_OKey @ X0) @
% 0.56/0.79 (c_Message_Omsg_OMPair @ X4 @ X3)))) @
% 0.56/0.79 (c_Message_Oparts @
% 0.56/0.79 (c_Event_Oknows @ c_Message_Oagent_OSpy @ v_evs4)) @
% 0.56/0.79 tc_Message_Omsg))),
% 0.56/0.79 inference('sup-', [status(thm)], [zip_derived_cl9, zip_derived_cl4])).
% 0.56/0.79 thf(cls_Yahalom_Ounique__session__keys_1, axiom,
% 0.56/0.79 (( ~( c_in @
% 0.56/0.79 V_evs @ c_Yahalom_Oyahalom @ ( tc_List_Olist @ tc_Event_Oevent ) ) ) |
% 0.56/0.79 ( ~( c_in @
% 0.56/0.79 ( c_Event_Oevent_OSays @
% 0.56/0.79 c_Message_Oagent_OServer @ V_A_H @
% 0.56/0.79 ( c_Message_Omsg_OMPair @
% 0.56/0.79 ( c_Message_Omsg_OCrypt @
% 0.56/0.79 ( c_Public_OshrK @ V_A_H ) @
% 0.56/0.79 ( c_Message_Omsg_OMPair @
% 0.56/0.79 ( c_Message_Omsg_OAgent @ V_B_H ) @
% 0.56/0.79 ( c_Message_Omsg_OMPair @
% 0.56/0.79 ( c_Message_Omsg_OKey @ V_K ) @
% 0.56/0.79 ( c_Message_Omsg_OMPair @ V_na_H @ V_nb_H ) ) ) ) @
% 0.56/0.79 V_X_H ) ) @
% 0.56/0.79 ( c_List_Oset @ V_evs @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) |
% 0.56/0.79 ( ~( c_in @
% 0.56/0.79 ( c_Event_Oevent_OSays @
% 0.56/0.79 c_Message_Oagent_OServer @ V_A @
% 0.56/0.79 ( c_Message_Omsg_OMPair @
% 0.56/0.79 ( c_Message_Omsg_OCrypt @
% 0.56/0.79 ( c_Public_OshrK @ V_A ) @
% 0.56/0.79 ( c_Message_Omsg_OMPair @
% 0.56/0.79 ( c_Message_Omsg_OAgent @ V_B ) @
% 0.56/0.79 ( c_Message_Omsg_OMPair @
% 0.56/0.79 ( c_Message_Omsg_OKey @ V_K ) @
% 0.56/0.79 ( c_Message_Omsg_OMPair @ V_na @ V_nb ) ) ) ) @
% 0.56/0.79 V_X ) ) @
% 0.56/0.79 ( c_List_Oset @ V_evs @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) |
% 0.56/0.79 ( ( V_B ) = ( V_B_H ) ))).
% 0.56/0.79 thf(zip_derived_cl8, plain,
% 0.56/0.79 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 0.56/0.79 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i]:
% 0.56/0.79 (~ (c_in @ X0 @ c_Yahalom_Oyahalom @ (tc_List_Olist @ tc_Event_Oevent))
% 0.56/0.79 | ~ (c_in @
% 0.56/0.79 (c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ X1 @
% 0.56/0.79 (c_Message_Omsg_OMPair @
% 0.56/0.79 (c_Message_Omsg_OCrypt @ (c_Public_OshrK @ X1) @
% 0.56/0.79 (c_Message_Omsg_OMPair @ (c_Message_Omsg_OAgent @ X2) @
% 0.56/0.79 (c_Message_Omsg_OMPair @ (c_Message_Omsg_OKey @ X3) @
% 0.56/0.79 (c_Message_Omsg_OMPair @ X4 @ X5)))) @
% 0.56/0.79 X6)) @
% 0.56/0.79 (c_List_Oset @ X0 @ tc_Event_Oevent) @ tc_Event_Oevent)
% 0.56/0.79 | ~ (c_in @
% 0.56/0.79 (c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ X7 @
% 0.56/0.79 (c_Message_Omsg_OMPair @
% 0.56/0.79 (c_Message_Omsg_OCrypt @ (c_Public_OshrK @ X7) @
% 0.56/0.79 (c_Message_Omsg_OMPair @ (c_Message_Omsg_OAgent @ X8) @
% 0.56/0.79 (c_Message_Omsg_OMPair @ (c_Message_Omsg_OKey @ X3) @
% 0.56/0.79 (c_Message_Omsg_OMPair @ X9 @ X10)))) @
% 0.56/0.79 X11)) @
% 0.56/0.79 (c_List_Oset @ X0 @ tc_Event_Oevent) @ tc_Event_Oevent)
% 0.56/0.79 | ((X8) = (X2)))),
% 0.56/0.79 inference('cnf', [status(esa)], [cls_Yahalom_Ounique__session__keys_1])).
% 0.56/0.79 thf(zip_derived_cl99, plain,
% 0.56/0.79 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 0.56/0.79 X7 : $i, X8 : $i, X9 : $i]:
% 0.56/0.79 (~ (c_in @
% 0.56/0.79 (c_Message_Omsg_OCrypt @ (c_Public_OshrK @ X1) @
% 0.56/0.79 (c_Message_Omsg_OMPair @ (c_Message_Omsg_OAgent @ X2) @
% 0.56/0.79 (c_Message_Omsg_OMPair @ (c_Message_Omsg_OKey @ X0) @
% 0.56/0.79 (c_Message_Omsg_OMPair @ X4 @ X3)))) @
% 0.56/0.79 (c_Message_Oparts @
% 0.56/0.79 (c_Event_Oknows @ c_Message_Oagent_OSpy @ v_evs4)) @
% 0.56/0.79 tc_Message_Omsg)
% 0.56/0.79 | (c_in @ X1 @ c_Event_Obad @ tc_Message_Oagent)
% 0.56/0.79 | ((X5) = (X2))
% 0.56/0.79 | ~ (c_in @
% 0.56/0.79 (c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ X9 @
% 0.56/0.79 (c_Message_Omsg_OMPair @
% 0.56/0.79 (c_Message_Omsg_OCrypt @ (c_Public_OshrK @ X9) @
% 0.56/0.79 (c_Message_Omsg_OMPair @ (c_Message_Omsg_OAgent @ X5) @
% 0.56/0.79 (c_Message_Omsg_OMPair @ (c_Message_Omsg_OKey @ X0) @
% 0.56/0.79 (c_Message_Omsg_OMPair @ X8 @ X7)))) @
% 0.56/0.79 X6)) @
% 0.56/0.79 (c_List_Oset @ v_evs4 @ tc_Event_Oevent) @ tc_Event_Oevent)
% 0.56/0.79 | ~ (c_in @ v_evs4 @ c_Yahalom_Oyahalom @
% 0.56/0.79 (tc_List_Olist @ tc_Event_Oevent)))),
% 0.56/0.79 inference('sup-', [status(thm)], [zip_derived_cl86, zip_derived_cl8])).
% 0.56/0.79 thf(zip_derived_cl9, plain,
% 0.56/0.79 ( (c_in @ v_evs4 @ c_Yahalom_Oyahalom @ (tc_List_Olist @ tc_Event_Oevent))),
% 0.56/0.79 inference('cnf', [status(esa)], [zf_stmt_2])).
% 0.56/0.79 thf(zip_derived_cl101, plain,
% 0.56/0.79 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 0.56/0.79 X7 : $i, X8 : $i, X9 : $i]:
% 0.56/0.79 (~ (c_in @
% 0.56/0.79 (c_Message_Omsg_OCrypt @ (c_Public_OshrK @ X1) @
% 0.56/0.79 (c_Message_Omsg_OMPair @ (c_Message_Omsg_OAgent @ X2) @
% 0.56/0.79 (c_Message_Omsg_OMPair @ (c_Message_Omsg_OKey @ X0) @
% 0.56/0.79 (c_Message_Omsg_OMPair @ X4 @ X3)))) @
% 0.56/0.79 (c_Message_Oparts @
% 0.56/0.79 (c_Event_Oknows @ c_Message_Oagent_OSpy @ v_evs4)) @
% 0.56/0.79 tc_Message_Omsg)
% 0.56/0.79 | (c_in @ X1 @ c_Event_Obad @ tc_Message_Oagent)
% 0.56/0.79 | ((X5) = (X2))
% 0.56/0.79 | ~ (c_in @
% 0.56/0.79 (c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ X9 @
% 0.56/0.79 (c_Message_Omsg_OMPair @
% 0.56/0.79 (c_Message_Omsg_OCrypt @ (c_Public_OshrK @ X9) @
% 0.56/0.79 (c_Message_Omsg_OMPair @ (c_Message_Omsg_OAgent @ X5) @
% 0.56/0.79 (c_Message_Omsg_OMPair @ (c_Message_Omsg_OKey @ X0) @
% 0.56/0.79 (c_Message_Omsg_OMPair @ X8 @ X7)))) @
% 0.56/0.79 X6)) @
% 0.56/0.79 (c_List_Oset @ v_evs4 @ tc_Event_Oevent) @ tc_Event_Oevent))),
% 0.56/0.79 inference('demod', [status(thm)], [zip_derived_cl99, zip_derived_cl9])).
% 0.56/0.79 thf(zip_derived_cl134, plain,
% 0.56/0.79 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 0.56/0.79 ( (c_in @ X2 @ c_Event_Obad @ tc_Message_Oagent)
% 0.56/0.79 | ~ (c_in @
% 0.56/0.79 (c_Message_Omsg_OCrypt @ (c_Public_OshrK @ X2) @
% 0.56/0.79 (c_Message_Omsg_OMPair @ (c_Message_Omsg_OAgent @ X1) @
% 0.56/0.79 (c_Message_Omsg_OKey @ X0))) @
% 0.56/0.79 (c_Message_Oparts @
% 0.56/0.79 (c_Event_Oknows @ c_Message_Oagent_OSpy @ v_evs4)) @
% 0.56/0.79 tc_Message_Omsg)
% 0.56/0.79 | ~ (c_in @ v_evs4 @ c_Yahalom_Oyahalom @
% 0.56/0.79 (tc_List_Olist @ tc_Event_Oevent))
% 0.56/0.79 | ((X2) = (X3))
% 0.56/0.79 | (c_in @ X4 @ c_Event_Obad @ tc_Message_Oagent)
% 0.56/0.79 | ~ (c_in @
% 0.56/0.79 (c_Message_Omsg_OCrypt @ (c_Public_OshrK @ X4) @
% 0.56/0.79 (c_Message_Omsg_OMPair @ (c_Message_Omsg_OAgent @ X3) @
% 0.56/0.79 (c_Message_Omsg_OMPair @ (c_Message_Omsg_OKey @ X0) @
% 0.56/0.79 (c_Message_Omsg_OMPair @ X6 @ X5)))) @
% 0.56/0.79 (c_Message_Oparts @
% 0.56/0.79 (c_Event_Oknows @ c_Message_Oagent_OSpy @ v_evs4)) @
% 0.56/0.79 tc_Message_Omsg))),
% 0.56/0.79 inference('sup-', [status(thm)], [zip_derived_cl5, zip_derived_cl101])).
% 0.56/0.79 thf(zip_derived_cl9, plain,
% 0.56/0.79 ( (c_in @ v_evs4 @ c_Yahalom_Oyahalom @ (tc_List_Olist @ tc_Event_Oevent))),
% 0.56/0.79 inference('cnf', [status(esa)], [zf_stmt_2])).
% 0.56/0.79 thf(zip_derived_cl136, plain,
% 0.56/0.79 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 0.56/0.79 ( (c_in @ X2 @ c_Event_Obad @ tc_Message_Oagent)
% 0.56/0.79 | ~ (c_in @
% 0.56/0.79 (c_Message_Omsg_OCrypt @ (c_Public_OshrK @ X2) @
% 0.56/0.79 (c_Message_Omsg_OMPair @ (c_Message_Omsg_OAgent @ X1) @
% 0.56/0.79 (c_Message_Omsg_OKey @ X0))) @
% 0.56/0.79 (c_Message_Oparts @
% 0.56/0.79 (c_Event_Oknows @ c_Message_Oagent_OSpy @ v_evs4)) @
% 0.56/0.79 tc_Message_Omsg)
% 0.56/0.79 | ((X2) = (X3))
% 0.56/0.79 | (c_in @ X4 @ c_Event_Obad @ tc_Message_Oagent)
% 0.56/0.79 | ~ (c_in @
% 0.56/0.79 (c_Message_Omsg_OCrypt @ (c_Public_OshrK @ X4) @
% 0.56/0.79 (c_Message_Omsg_OMPair @ (c_Message_Omsg_OAgent @ X3) @
% 0.56/0.79 (c_Message_Omsg_OMPair @ (c_Message_Omsg_OKey @ X0) @
% 0.56/0.79 (c_Message_Omsg_OMPair @ X6 @ X5)))) @
% 0.56/0.79 (c_Message_Oparts @
% 0.56/0.79 (c_Event_Oknows @ c_Message_Oagent_OSpy @ v_evs4)) @
% 0.56/0.79 tc_Message_Omsg))),
% 0.56/0.79 inference('demod', [status(thm)], [zip_derived_cl134, zip_derived_cl9])).
% 0.56/0.79 thf(zip_derived_cl143, plain,
% 0.56/0.79 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 0.56/0.79 (~ (c_in @
% 0.56/0.79 (c_Message_Omsg_OCrypt @ (c_Public_OshrK @ X4) @
% 0.56/0.79 (c_Message_Omsg_OMPair @ (c_Message_Omsg_OAgent @ X3) @
% 0.56/0.79 (c_Message_Omsg_OMPair @ (c_Message_Omsg_OKey @ X2) @
% 0.56/0.79 (c_Message_Omsg_OMPair @ X1 @ X0)))) @
% 0.56/0.79 (c_Message_Oanalz @
% 0.56/0.79 (c_Event_Oknows @ c_Message_Oagent_OSpy @ v_evs4)) @
% 0.56/0.79 tc_Message_Omsg)
% 0.56/0.79 | (c_in @ X4 @ c_Event_Obad @ tc_Message_Oagent)
% 0.56/0.79 | ((X5) = (X3))
% 0.56/0.79 | ~ (c_in @
% 0.56/0.79 (c_Message_Omsg_OCrypt @ (c_Public_OshrK @ X5) @
% 0.56/0.79 (c_Message_Omsg_OMPair @ (c_Message_Omsg_OAgent @ X6) @
% 0.56/0.79 (c_Message_Omsg_OKey @ X2))) @
% 0.56/0.79 (c_Message_Oparts @
% 0.56/0.79 (c_Event_Oknows @ c_Message_Oagent_OSpy @ v_evs4)) @
% 0.56/0.79 tc_Message_Omsg)
% 0.56/0.79 | (c_in @ X5 @ c_Event_Obad @ tc_Message_Oagent))),
% 0.56/0.79 inference('sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl136])).
% 0.56/0.79 thf(zip_derived_cl144, plain,
% 0.56/0.79 (![X0 : $i, X1 : $i]:
% 0.56/0.79 ( (c_in @ X0 @ c_Event_Obad @ tc_Message_Oagent)
% 0.56/0.79 | ~ (c_in @
% 0.56/0.79 (c_Message_Omsg_OCrypt @ (c_Public_OshrK @ X0) @
% 0.56/0.79 (c_Message_Omsg_OMPair @ (c_Message_Omsg_OAgent @ X1) @
% 0.56/0.79 (c_Message_Omsg_OKey @ v_K))) @
% 0.56/0.79 (c_Message_Oparts @
% 0.56/0.79 (c_Event_Oknows @ c_Message_Oagent_OSpy @ v_evs4)) @
% 0.56/0.79 tc_Message_Omsg)
% 0.56/0.79 | ((X0) = (v_Ba))
% 0.56/0.79 | (c_in @ v_A @ c_Event_Obad @ tc_Message_Oagent))),
% 0.56/0.79 inference('sup-', [status(thm)], [zip_derived_cl121, zip_derived_cl143])).
% 0.56/0.79 thf(zip_derived_cl95, plain,
% 0.56/0.79 (~ (c_in @ v_Aa @ c_Event_Obad @ tc_Message_Oagent)),
% 0.56/0.79 inference('clc', [status(thm)], [zip_derived_cl92, zip_derived_cl12])).
% 0.56/0.79 thf(zip_derived_cl116, plain, (((v_A) = (v_Aa))),
% 0.56/0.79 inference('clc', [status(thm)], [zip_derived_cl113, zip_derived_cl14])).
% 0.56/0.79 thf(zip_derived_cl122, plain,
% 0.56/0.79 (~ (c_in @ v_A @ c_Event_Obad @ tc_Message_Oagent)),
% 0.56/0.79 inference('demod', [status(thm)], [zip_derived_cl95, zip_derived_cl116])).
% 0.56/0.79 thf(zip_derived_cl145, plain,
% 0.56/0.79 (![X0 : $i, X1 : $i]:
% 0.56/0.79 ( (c_in @ X0 @ c_Event_Obad @ tc_Message_Oagent)
% 0.56/0.79 | ~ (c_in @
% 0.56/0.79 (c_Message_Omsg_OCrypt @ (c_Public_OshrK @ X0) @
% 0.56/0.79 (c_Message_Omsg_OMPair @ (c_Message_Omsg_OAgent @ X1) @
% 0.56/0.79 (c_Message_Omsg_OKey @ v_K))) @
% 0.56/0.79 (c_Message_Oparts @
% 0.56/0.79 (c_Event_Oknows @ c_Message_Oagent_OSpy @ v_evs4)) @
% 0.56/0.79 tc_Message_Omsg)
% 0.56/0.79 | ((X0) = (v_Ba)))),
% 0.56/0.79 inference('demod', [status(thm)], [zip_derived_cl144, zip_derived_cl122])).
% 0.56/0.79 thf(zip_derived_cl13, plain,
% 0.56/0.79 ( (c_in @
% 0.56/0.79 (c_Message_Omsg_OCrypt @ (c_Public_OshrK @ v_B) @
% 0.56/0.79 (c_Message_Omsg_OMPair @ (c_Message_Omsg_OAgent @ v_A) @
% 0.56/0.79 (c_Message_Omsg_OKey @ v_K))) @
% 0.56/0.79 (c_Message_Oparts @ (c_Event_Oknows @ c_Message_Oagent_OSpy @ v_evs4)) @
% 0.56/0.79 tc_Message_Omsg)),
% 0.56/0.79 inference('cnf', [status(esa)], [zf_stmt_4])).
% 0.56/0.79 thf(zip_derived_cl150, plain,
% 0.56/0.79 ((((v_B) = (v_Ba)) | (c_in @ v_B @ c_Event_Obad @ tc_Message_Oagent))),
% 0.56/0.79 inference('sup+', [status(thm)], [zip_derived_cl145, zip_derived_cl13])).
% 0.56/0.79 thf(zip_derived_cl14, plain,
% 0.56/0.79 (~ (c_in @ v_B @ c_Event_Obad @ tc_Message_Oagent)),
% 0.56/0.79 inference('cnf', [status(esa)], [zf_stmt_5])).
% 0.56/0.79 thf(zip_derived_cl153, plain, (((v_B) = (v_Ba))),
% 0.56/0.79 inference('clc', [status(thm)], [zip_derived_cl150, zip_derived_cl14])).
% 0.56/0.79 thf(zip_derived_cl154, plain,
% 0.56/0.79 (![X0 : $i]: (((X0) != (v_X)) | ((v_B) != (v_B)))),
% 0.56/0.79 inference('demod', [status(thm)], [zip_derived_cl118, zip_derived_cl153])).
% 0.56/0.79 thf(zip_derived_cl155, plain, (![X0 : $i]: ((X0) != (v_X))),
% 0.56/0.79 inference('simplify', [status(thm)], [zip_derived_cl154])).
% 0.56/0.79 thf(zip_derived_cl160, plain, ($false),
% 0.56/0.79 inference('eq_res', [status(thm)], [zip_derived_cl155])).
% 0.56/0.79
% 0.56/0.79 % SZS output end Refutation
% 0.56/0.79
% 0.56/0.79
% 0.56/0.79 % Terminating...
% 0.56/0.85 % Runner terminated.
% 1.75/0.86 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------