%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SWV354-1 : TPTP v9.2.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.avyX99X9Lr true
% Computer : n007.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 05:00:53 PM UTC 2025
% Result : Unsatisfiable 247.26s 52.58s
% Output : Refutation 247.26s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.10 % Problem : SWV354-1 : TPTP v9.2.0. Released v3.2.0.
% 0.02/0.11 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.avyX99X9Lr true
% 0.09/0.31 % Computer : n007.cluster.edu
% 0.09/0.31 % Model : x86_64 x86_64
% 0.09/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.31 % Memory : 8042.1875MB
% 0.09/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.31 % CPULimit : 300
% 0.09/0.31 % WCLimit : 300
% 0.09/0.31 % DateTime : Wed Oct 1 12:27:23 EDT 2025
% 0.09/0.31 % CPUTime :
% 0.09/0.31 % Running portfolio for 300 s
% 0.09/0.31 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.31 % Number of cores: 8
% 0.14/0.31 % Python version: Python 3.6.8
% 0.14/0.32 % Running in FO mode
% 0.15/0.57 % Total configuration time : 435
% 0.15/0.57 % Estimated wc time : 1092
% 0.15/0.57 % Estimated cpu time (7 cpus) : 156.0
% 0.92/0.72 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.92/0.72 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.92/0.73 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.92/0.73 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.92/0.74 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.92/0.74 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.92/0.76 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 239.54/51.09 % /export/starexec/sandbox/solver/bin/fo/fo1_lcnf.sh running for 50s
% 240.75/51.39 % /export/starexec/sandbox/solver/bin/fo/fo17_bce.sh running for 50s
% 247.26/52.58 % Solved by fo/fo6_bce.sh.
% 247.26/52.58 % BCE start: 2975
% 247.26/52.58 % BCE eliminated: 589
% 247.26/52.58 % PE start: 2386
% 247.26/52.58 logic: eq
% 247.26/52.58 % PE eliminated: -656
% 247.26/52.58 % done 10220 iterations in 51.772s
% 247.26/52.58 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 247.26/52.58 % SZS output start Refutation
% 247.26/52.58 thf(tc_Message_Omsg_type, type, tc_Message_Omsg: $i).
% 247.26/52.58 thf(v_evso_type, type, v_evso: $i).
% 247.26/52.58 thf(v_sko__2VY_type, type, v_sko__2VY: $i > $i).
% 247.26/52.58 thf(c_Event_Oevent_OGets_type, type, c_Event_Oevent_OGets: $i > $i > $i).
% 247.26/52.58 thf(c_Message_Omsg_OMPair_type, type, c_Message_Omsg_OMPair: $i > $i > $i).
% 247.26/52.58 thf(c_Message_Omsg_OAgent_type, type, c_Message_Omsg_OAgent: $i > $i).
% 247.26/52.58 thf(c_Event_Oevent_OSays_type, type, c_Event_Oevent_OSays: $i > $i > $i > $i).
% 247.26/52.58 thf(v_NAa_type, type, v_NAa: $i).
% 247.26/52.58 thf(tc_List_Olist_type, type, tc_List_Olist: $i > $i).
% 247.26/52.58 thf(tc_Event_Oevent_type, type, tc_Event_Oevent: $i).
% 247.26/52.58 thf(c_Message_Oagent_OSpy_type, type, c_Message_Oagent_OSpy: $i).
% 247.26/52.58 thf(v_X_type, type, v_X: $i).
% 247.26/52.58 thf(c_List_Olists_type, type, c_List_Olists: $i > $i > $i).
% 247.26/52.58 thf(c_insert_type, type, c_insert: $i > $i > $i > $i).
% 247.26/52.58 thf(c_in_type, type, c_in: $i > $i > $i > $o).
% 247.26/52.58 thf(c_Message_Omsg_OKey_type, type, c_Message_Omsg_OKey: $i > $i).
% 247.26/52.58 thf(v_A_type, type, v_A: $i).
% 247.26/52.58 thf(v_NBa_type, type, v_NBa: $i).
% 247.26/52.58 thf(c_Message_Omsg_ONonce_type, type, c_Message_Omsg_ONonce: $i > $i).
% 247.26/52.58 thf(c_Message_Oagent_OServer_type, type, c_Message_Oagent_OServer: $i).
% 247.26/52.58 thf(v_NB_type, type, v_NB: $i).
% 247.26/52.58 thf(c_Yahalom_Oyahalom_type, type, c_Yahalom_Oyahalom: $i).
% 247.26/52.58 thf(v_NA_type, type, v_NA: $i).
% 247.26/52.58 thf(c_Main_Oin__listsI__1_type, type, c_Main_Oin__listsI__1: $i > $i > $i > $i).
% 247.26/52.58 thf(c_Message_Oanalz_type, type, c_Message_Oanalz: $i > $i).
% 247.26/52.58 thf(v_K_type, type, v_K: $i).
% 247.26/52.58 thf(c_Message_Omsg_OCrypt_type, type, c_Message_Omsg_OCrypt: $i > $i > $i).
% 247.26/52.58 thf(c_Public_OshrK_type, type, c_Public_OshrK: $i > $i).
% 247.26/52.58 thf(c_List_Oset_type, type, c_List_Oset: $i > $i > $i).
% 247.26/52.58 thf(v_Aa_type, type, v_Aa: $i).
% 247.26/52.58 thf(v_B_type, type, v_B: $i).
% 247.26/52.58 thf(c_Event_Oknows_type, type, c_Event_Oknows: $i > $i > $i).
% 247.26/52.58 thf(v_Ba_type, type, v_Ba: $i).
% 247.26/52.58 thf(cls_conjecture_9, conjecture,
% 247.26/52.58 (~( ( ( v_NB ) != ( v_NBa ) ) | ( ( v_NA ) != ( v_NAa ) ) |
% 247.26/52.58 ( ( V_U ) != ( c_Message_Omsg_OKey @ v_K ) ) ))).
% 247.26/52.58 thf(zf_stmt_0, negated_conjecture,
% 247.26/52.58 (( ( v_NB ) != ( v_NBa ) ) | ( ( v_NA ) != ( v_NAa ) ) |
% 247.26/52.58 ( ( V_U ) != ( c_Message_Omsg_OKey @ v_K ) )),
% 247.26/52.58 inference('cnf.neg', [status(esa)], [cls_conjecture_9])).
% 247.26/52.58 thf(zip_derived_cl2974, plain,
% 247.26/52.58 (![X0 : $i]:
% 247.26/52.58 (((v_NB) != (v_NBa))
% 247.26/52.58 | ((v_NA) != (v_NAa))
% 247.26/52.58 | ((X0) != (c_Message_Omsg_OKey @ v_K)))),
% 247.26/52.58 inference('cnf', [status(esa)], [zf_stmt_0])).
% 247.26/52.58 thf(cls_conjecture_3, conjecture,
% 247.26/52.58 (~( c_in @
% 247.26/52.58 ( c_Event_Oevent_OSays @
% 247.26/52.58 c_Message_Oagent_OServer @ v_Aa @
% 247.26/52.58 ( c_Message_Omsg_OMPair @
% 247.26/52.58 ( c_Message_Omsg_OCrypt @
% 247.26/52.58 ( c_Public_OshrK @ v_Aa ) @
% 247.26/52.58 ( c_Message_Omsg_OMPair @
% 247.26/52.58 ( c_Message_Omsg_OAgent @ v_Ba ) @
% 247.26/52.58 ( c_Message_Omsg_OMPair @
% 247.26/52.58 ( c_Message_Omsg_OKey @ v_K ) @
% 247.26/52.58 ( c_Message_Omsg_OMPair @
% 247.26/52.58 ( c_Message_Omsg_ONonce @ v_NAa ) @
% 247.26/52.58 ( c_Message_Omsg_ONonce @ v_NBa ) ) ) ) ) @
% 247.26/52.58 v_X ) ) @
% 247.26/52.58 ( c_List_Oset @ v_evso @ tc_Event_Oevent ) @ tc_Event_Oevent ))).
% 247.26/52.58 thf(zf_stmt_1, negated_conjecture,
% 247.26/52.58 (c_in @
% 247.26/52.58 ( c_Event_Oevent_OSays @
% 247.26/52.58 c_Message_Oagent_OServer @ v_Aa @
% 247.26/52.58 ( c_Message_Omsg_OMPair @
% 247.26/52.58 ( c_Message_Omsg_OCrypt @
% 247.26/52.58 ( c_Public_OshrK @ v_Aa ) @
% 247.26/52.58 ( c_Message_Omsg_OMPair @
% 247.26/52.58 ( c_Message_Omsg_OAgent @ v_Ba ) @
% 247.26/52.58 ( c_Message_Omsg_OMPair @
% 247.26/52.58 ( c_Message_Omsg_OKey @ v_K ) @
% 247.26/52.58 ( c_Message_Omsg_OMPair @
% 247.26/52.58 ( c_Message_Omsg_ONonce @ v_NAa ) @
% 247.26/52.58 ( c_Message_Omsg_ONonce @ v_NBa ) ) ) ) ) @
% 247.26/52.58 v_X ) ) @
% 247.26/52.58 ( c_List_Oset @ v_evso @ tc_Event_Oevent ) @ tc_Event_Oevent),
% 247.26/52.58 inference('cnf.neg', [status(esa)], [cls_conjecture_3])).
% 247.26/52.58 thf(zip_derived_cl2969, plain,
% 247.26/52.58 ( (c_in @
% 247.26/52.58 (c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ v_Aa @
% 247.26/52.58 (c_Message_Omsg_OMPair @
% 247.26/52.58 (c_Message_Omsg_OCrypt @ (c_Public_OshrK @ v_Aa) @
% 247.26/52.58 (c_Message_Omsg_OMPair @ (c_Message_Omsg_OAgent @ v_Ba) @
% 247.26/52.58 (c_Message_Omsg_OMPair @ (c_Message_Omsg_OKey @ v_K) @
% 247.26/52.58 (c_Message_Omsg_OMPair @ (c_Message_Omsg_ONonce @ v_NAa) @
% 247.26/52.58 (c_Message_Omsg_ONonce @ v_NBa))))) @
% 247.26/52.58 v_X)) @
% 247.26/52.58 (c_List_Oset @ v_evso @ tc_Event_Oevent) @ tc_Event_Oevent)),
% 247.26/52.58 inference('cnf', [status(esa)], [zf_stmt_1])).
% 247.26/52.58 thf(zip_derived_cl2969, plain,
% 247.26/52.58 ( (c_in @
% 247.26/52.58 (c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ v_Aa @
% 247.26/52.58 (c_Message_Omsg_OMPair @
% 247.26/52.58 (c_Message_Omsg_OCrypt @ (c_Public_OshrK @ v_Aa) @
% 247.26/52.58 (c_Message_Omsg_OMPair @ (c_Message_Omsg_OAgent @ v_Ba) @
% 247.26/52.58 (c_Message_Omsg_OMPair @ (c_Message_Omsg_OKey @ v_K) @
% 247.26/52.58 (c_Message_Omsg_OMPair @ (c_Message_Omsg_ONonce @ v_NAa) @
% 247.26/52.58 (c_Message_Omsg_ONonce @ v_NBa))))) @
% 247.26/52.58 v_X)) @
% 247.26/52.58 (c_List_Oset @ v_evso @ tc_Event_Oevent) @ tc_Event_Oevent)),
% 247.26/52.58 inference('cnf', [status(esa)], [zf_stmt_1])).
% 247.26/52.58 thf(cls_conjecture_7, conjecture,
% 247.26/52.58 (~( c_in @
% 247.26/52.58 ( c_Message_Omsg_ONonce @ v_NB ) @
% 247.26/52.58 ( c_Message_Oanalz @
% 247.26/52.58 ( c_insert @
% 247.26/52.58 ( c_Message_Omsg_OKey @ v_K ) @
% 247.26/52.58 ( c_Event_Oknows @ c_Message_Oagent_OSpy @ v_evso ) @
% 247.26/52.58 tc_Message_Omsg ) ) @
% 247.26/52.58 tc_Message_Omsg ))).
% 247.26/52.58 thf(zf_stmt_2, negated_conjecture,
% 247.26/52.58 (c_in @
% 247.26/52.58 ( c_Message_Omsg_ONonce @ v_NB ) @
% 247.26/52.58 ( c_Message_Oanalz @
% 247.26/52.58 ( c_insert @
% 247.26/52.58 ( c_Message_Omsg_OKey @ v_K ) @
% 247.26/52.58 ( c_Event_Oknows @ c_Message_Oagent_OSpy @ v_evso ) @ tc_Message_Omsg ) ) @
% 247.26/52.58 tc_Message_Omsg),
% 247.26/52.58 inference('cnf.neg', [status(esa)], [cls_conjecture_7])).
% 247.26/52.58 thf(zip_derived_cl2973, plain,
% 247.26/52.58 ( (c_in @ (c_Message_Omsg_ONonce @ v_NB) @
% 247.26/52.58 (c_Message_Oanalz @
% 247.26/52.58 (c_insert @ (c_Message_Omsg_OKey @ v_K) @
% 247.26/52.58 (c_Event_Oknows @ c_Message_Oagent_OSpy @ v_evso) @ tc_Message_Omsg)) @
% 247.26/52.58 tc_Message_Omsg)),
% 247.26/52.58 inference('cnf', [status(esa)], [zf_stmt_2])).
% 247.26/52.58 thf(cls_conjecture_2, conjecture,
% 247.26/52.58 (~( c_in @
% 247.26/52.58 v_evso @ c_Yahalom_Oyahalom @ ( tc_List_Olist @ tc_Event_Oevent ) ))).
% 247.26/52.58 thf(zf_stmt_3, negated_conjecture,
% 247.26/52.58 (c_in @ v_evso @ c_Yahalom_Oyahalom @ ( tc_List_Olist @ tc_Event_Oevent )),
% 247.26/52.58 inference('cnf.neg', [status(esa)], [cls_conjecture_2])).
% 247.26/52.58 thf(zip_derived_cl2968, plain,
% 247.26/52.58 ( (c_in @ v_evso @ c_Yahalom_Oyahalom @ (tc_List_Olist @ tc_Event_Oevent))),
% 247.26/52.58 inference('cnf', [status(esa)], [zf_stmt_3])).
% 247.26/52.58 thf(cls_Yahalom_Osingle__Nonce__secrecy_0, axiom,
% 247.26/52.58 (( ~( c_in @
% 247.26/52.58 V_evs @ c_Yahalom_Oyahalom @ ( tc_List_Olist @ tc_Event_Oevent ) ) ) |
% 247.26/52.58 ( ~( c_in @
% 247.26/52.58 ( c_Event_Oevent_OSays @
% 247.26/52.58 c_Message_Oagent_OServer @ V_A @
% 247.26/52.58 ( c_Message_Omsg_OMPair @
% 247.26/52.58 ( c_Message_Omsg_OCrypt @
% 247.26/52.58 ( c_Public_OshrK @ V_A ) @
% 247.26/52.58 ( c_Message_Omsg_OMPair @
% 247.26/52.58 ( c_Message_Omsg_OAgent @ V_B ) @
% 247.26/52.58 ( c_Message_Omsg_OMPair @
% 247.26/52.58 ( c_Message_Omsg_OKey @ V_KAB ) @
% 247.26/52.58 ( c_Message_Omsg_OMPair @
% 247.26/52.58 V_na @ ( c_Message_Omsg_ONonce @ V_NB_H ) ) ) ) ) @
% 247.26/52.58 V_X ) ) @
% 247.26/52.58 ( c_List_Oset @ V_evs @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) |
% 247.26/52.58 ( ~( c_in @
% 247.26/52.58 ( c_Message_Omsg_ONonce @ V_NB ) @
% 247.26/52.58 ( c_Message_Oanalz @
% 247.26/52.58 ( c_insert @
% 247.26/52.58 ( c_Message_Omsg_OKey @ V_KAB ) @
% 247.26/52.58 ( c_Event_Oknows @ c_Message_Oagent_OSpy @ V_evs ) @
% 247.26/52.58 tc_Message_Omsg ) ) @
% 247.26/52.58 tc_Message_Omsg ) ) |
% 247.26/52.58 ( c_in @
% 247.26/52.58 ( c_Message_Omsg_ONonce @ V_NB ) @
% 247.26/52.58 ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ V_evs ) ) @
% 247.26/52.58 tc_Message_Omsg ) |
% 247.26/52.58 ( ( V_NB ) = ( V_NB_H ) ) |
% 247.26/52.58 ( ( V_KAB ) = ( c_Public_OshrK @ ( v_sko__2VY @ V_KAB ) ) ))).
% 247.26/52.58 thf(zip_derived_cl2960, plain,
% 247.26/52.58 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 247.26/52.58 (~ (c_in @ X0 @ c_Yahalom_Oyahalom @ (tc_List_Olist @ tc_Event_Oevent))
% 247.26/52.58 | ~ (c_in @
% 247.26/52.58 (c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ X1 @
% 247.26/52.58 (c_Message_Omsg_OMPair @
% 247.26/52.58 (c_Message_Omsg_OCrypt @ (c_Public_OshrK @ X1) @
% 247.26/52.58 (c_Message_Omsg_OMPair @ (c_Message_Omsg_OAgent @ X2) @
% 247.26/52.58 (c_Message_Omsg_OMPair @ (c_Message_Omsg_OKey @ X3) @
% 247.26/52.58 (c_Message_Omsg_OMPair @ X4 @ (c_Message_Omsg_ONonce @ X5))))) @
% 247.26/52.58 X6)) @
% 247.26/52.58 (c_List_Oset @ X0 @ tc_Event_Oevent) @ tc_Event_Oevent)
% 247.26/52.58 | ~ (c_in @ (c_Message_Omsg_ONonce @ X7) @
% 247.26/52.58 (c_Message_Oanalz @
% 247.26/52.58 (c_insert @ (c_Message_Omsg_OKey @ X3) @
% 247.26/52.58 (c_Event_Oknows @ c_Message_Oagent_OSpy @ X0) @
% 247.26/52.58 tc_Message_Omsg)) @
% 247.26/52.58 tc_Message_Omsg)
% 247.26/52.58 | (c_in @ (c_Message_Omsg_ONonce @ X7) @
% 247.26/52.58 (c_Message_Oanalz @ (c_Event_Oknows @ c_Message_Oagent_OSpy @ X0)) @
% 247.26/52.58 tc_Message_Omsg)
% 247.26/52.58 | ((X7) = (X5))
% 247.26/52.58 | ((X3) = (c_Public_OshrK @ (v_sko__2VY @ X3))))),
% 247.26/52.58 inference('cnf', [status(esa)], [cls_Yahalom_Osingle__Nonce__secrecy_0])).
% 247.26/52.58 thf(zip_derived_cl57980, plain,
% 247.26/52.58 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 247.26/52.58 (~ (c_in @
% 247.26/52.58 (c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ X5 @
% 247.26/52.58 (c_Message_Omsg_OMPair @
% 247.26/52.58 (c_Message_Omsg_OCrypt @ (c_Public_OshrK @ X5) @
% 247.26/52.58 (c_Message_Omsg_OMPair @ (c_Message_Omsg_OAgent @ X4) @
% 247.26/52.58 (c_Message_Omsg_OMPair @ (c_Message_Omsg_OKey @ X3) @
% 247.26/52.58 (c_Message_Omsg_OMPair @ X2 @ (c_Message_Omsg_ONonce @ X1))))) @
% 247.26/52.58 X0)) @
% 247.26/52.58 (c_List_Oset @ v_evso @ tc_Event_Oevent) @ tc_Event_Oevent)
% 247.26/52.58 | ~ (c_in @ (c_Message_Omsg_ONonce @ X6) @
% 247.26/52.58 (c_Message_Oanalz @
% 247.26/52.58 (c_insert @ (c_Message_Omsg_OKey @ X3) @
% 247.26/52.58 (c_Event_Oknows @ c_Message_Oagent_OSpy @ v_evso) @
% 247.26/52.58 tc_Message_Omsg)) @
% 247.26/52.58 tc_Message_Omsg)
% 247.26/52.58 | (c_in @ (c_Message_Omsg_ONonce @ X6) @
% 247.26/52.58 (c_Message_Oanalz @
% 247.26/52.58 (c_Event_Oknows @ c_Message_Oagent_OSpy @ v_evso)) @
% 247.26/52.58 tc_Message_Omsg)
% 247.26/52.58 | ((X6) = (X1))
% 247.26/52.58 | ((X3) = (c_Public_OshrK @ (v_sko__2VY @ X3))))),
% 247.26/52.58 inference('s_sup-', [status(thm)],
% 247.26/52.58 [zip_derived_cl2968, zip_derived_cl2960])).
% 247.26/52.58 thf(zip_derived_cl66975, plain,
% 247.26/52.58 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 247.26/52.58 (~ (c_in @
% 247.26/52.58 (c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ X4 @
% 247.26/52.58 (c_Message_Omsg_OMPair @
% 247.26/52.58 (c_Message_Omsg_OCrypt @ (c_Public_OshrK @ X4) @
% 247.26/52.58 (c_Message_Omsg_OMPair @ (c_Message_Omsg_OAgent @ X3) @
% 247.26/52.58 (c_Message_Omsg_OMPair @ (c_Message_Omsg_OKey @ v_K) @
% 247.26/52.58 (c_Message_Omsg_OMPair @ X2 @ (c_Message_Omsg_ONonce @ X1))))) @
% 247.26/52.58 X0)) @
% 247.26/52.58 (c_List_Oset @ v_evso @ tc_Event_Oevent) @ tc_Event_Oevent)
% 247.26/52.58 | (c_in @ (c_Message_Omsg_ONonce @ v_NB) @
% 247.26/52.58 (c_Message_Oanalz @
% 247.26/52.58 (c_Event_Oknows @ c_Message_Oagent_OSpy @ v_evso)) @
% 247.26/52.58 tc_Message_Omsg)
% 247.26/52.58 | ((v_NB) = (X1))
% 247.26/52.58 | ((v_K) = (c_Public_OshrK @ (v_sko__2VY @ v_K))))),
% 247.26/52.58 inference('s_sup-', [status(thm)],
% 247.26/52.58 [zip_derived_cl2973, zip_derived_cl57980])).
% 247.26/52.58 thf(cls_conjecture_6, conjecture,
% 247.26/52.58 (c_in @
% 247.26/52.58 ( c_Message_Omsg_ONonce @ v_NB ) @
% 247.26/52.58 ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ v_evso ) ) @
% 247.26/52.58 tc_Message_Omsg)).
% 247.26/52.58 thf(zf_stmt_4, negated_conjecture,
% 247.26/52.58 (~( c_in @
% 247.26/52.58 ( c_Message_Omsg_ONonce @ v_NB ) @
% 247.26/52.58 ( c_Message_Oanalz @
% 247.26/52.58 ( c_Event_Oknows @ c_Message_Oagent_OSpy @ v_evso ) ) @
% 247.26/52.58 tc_Message_Omsg )),
% 247.26/52.58 inference('cnf.neg', [status(esa)], [cls_conjecture_6])).
% 247.26/52.58 thf(zip_derived_cl2972, plain,
% 247.26/52.58 (~ (c_in @ (c_Message_Omsg_ONonce @ v_NB) @
% 247.26/52.58 (c_Message_Oanalz @ (c_Event_Oknows @ c_Message_Oagent_OSpy @ v_evso)) @
% 247.26/52.58 tc_Message_Omsg)),
% 247.26/52.58 inference('cnf', [status(esa)], [zf_stmt_4])).
% 247.26/52.58 thf(zip_derived_cl66976, plain,
% 247.26/52.58 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 247.26/52.58 (~ (c_in @
% 247.26/52.58 (c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ X4 @
% 247.26/52.58 (c_Message_Omsg_OMPair @
% 247.26/52.58 (c_Message_Omsg_OCrypt @ (c_Public_OshrK @ X4) @
% 247.26/52.58 (c_Message_Omsg_OMPair @ (c_Message_Omsg_OAgent @ X3) @
% 247.26/52.58 (c_Message_Omsg_OMPair @ (c_Message_Omsg_OKey @ v_K) @
% 247.26/52.58 (c_Message_Omsg_OMPair @ X2 @ (c_Message_Omsg_ONonce @ X1))))) @
% 247.26/52.58 X0)) @
% 247.26/52.58 (c_List_Oset @ v_evso @ tc_Event_Oevent) @ tc_Event_Oevent)
% 247.26/52.58 | ((v_NB) = (X1))
% 247.26/52.58 | ((v_K) = (c_Public_OshrK @ (v_sko__2VY @ v_K))))),
% 247.26/52.58 inference('demod', [status(thm)],
% 247.26/52.58 [zip_derived_cl66975, zip_derived_cl2972])).
% 247.26/52.58 thf(zip_derived_cl71557, plain,
% 247.26/52.58 ((((v_NB) = (v_NBa)) | ((v_K) = (c_Public_OshrK @ (v_sko__2VY @ v_K))))),
% 247.26/52.58 inference('s_sup-', [status(thm)],
% 247.26/52.58 [zip_derived_cl2969, zip_derived_cl66976])).
% 247.26/52.58 thf(zip_derived_cl2968, plain,
% 247.26/52.58 ( (c_in @ v_evso @ c_Yahalom_Oyahalom @ (tc_List_Olist @ tc_Event_Oevent))),
% 247.26/52.58 inference('cnf', [status(esa)], [zf_stmt_3])).
% 247.26/52.58 thf(cls_Yahalom_OSays__Server__not__shrK_0, axiom,
% 247.26/52.58 (( ~( c_in @
% 247.26/52.58 V_evs @ c_Yahalom_Oyahalom @ ( tc_List_Olist @ tc_Event_Oevent ) ) ) |
% 247.26/52.58 ( ~( c_in @
% 247.26/52.58 ( c_Event_Oevent_OSays @
% 247.26/52.58 c_Message_Oagent_OServer @ V_A @
% 247.26/52.58 ( c_Message_Omsg_OMPair @
% 247.26/52.58 ( c_Message_Omsg_OCrypt @
% 247.26/52.58 ( c_Public_OshrK @ V_A ) @
% 247.26/52.58 ( c_Message_Omsg_OMPair @
% 247.26/52.58 ( c_Message_Omsg_OAgent @ V_B ) @
% 247.26/52.58 ( c_Message_Omsg_OMPair @
% 247.26/52.58 ( c_Message_Omsg_OKey @ ( c_Public_OshrK @ V_x ) ) @
% 247.26/52.58 ( c_Message_Omsg_OMPair @ V_na @ V_nb ) ) ) ) @
% 247.26/52.58 V_X ) ) @
% 247.26/52.58 ( c_List_Oset @ V_evs @ tc_Event_Oevent ) @ tc_Event_Oevent ) ))).
% 247.26/52.58 thf(zip_derived_cl2950, plain,
% 247.26/52.58 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 247.26/52.58 (~ (c_in @ X0 @ c_Yahalom_Oyahalom @ (tc_List_Olist @ tc_Event_Oevent))
% 247.26/52.58 | ~ (c_in @
% 247.26/52.58 (c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ X1 @
% 247.26/52.58 (c_Message_Omsg_OMPair @
% 247.26/52.58 (c_Message_Omsg_OCrypt @ (c_Public_OshrK @ X1) @
% 247.26/52.58 (c_Message_Omsg_OMPair @ (c_Message_Omsg_OAgent @ X2) @
% 247.26/52.58 (c_Message_Omsg_OMPair @
% 247.26/52.58 (c_Message_Omsg_OKey @ (c_Public_OshrK @ X3)) @
% 247.26/52.58 (c_Message_Omsg_OMPair @ X4 @ X5)))) @
% 247.26/52.58 X6)) @
% 247.26/52.58 (c_List_Oset @ X0 @ tc_Event_Oevent) @ tc_Event_Oevent))),
% 247.26/52.58 inference('cnf', [status(esa)], [cls_Yahalom_OSays__Server__not__shrK_0])).
% 247.26/52.58 thf(zip_derived_cl55822, plain,
% 247.26/52.58 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 247.26/52.58 ~ (c_in @
% 247.26/52.58 (c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ X5 @
% 247.26/52.58 (c_Message_Omsg_OMPair @
% 247.26/52.58 (c_Message_Omsg_OCrypt @ (c_Public_OshrK @ X5) @
% 247.26/52.58 (c_Message_Omsg_OMPair @ (c_Message_Omsg_OAgent @ X4) @
% 247.26/52.58 (c_Message_Omsg_OMPair @
% 247.26/52.58 (c_Message_Omsg_OKey @ (c_Public_OshrK @ X3)) @
% 247.26/52.58 (c_Message_Omsg_OMPair @ X2 @ X1)))) @
% 247.26/52.58 X0)) @
% 247.26/52.58 (c_List_Oset @ v_evso @ tc_Event_Oevent) @ tc_Event_Oevent)),
% 247.26/52.58 inference('s_sup-', [status(thm)],
% 247.26/52.58 [zip_derived_cl2968, zip_derived_cl2950])).
% 247.26/52.58 thf(zip_derived_cl71598, plain,
% 247.26/52.58 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 247.26/52.58 (((v_NB) = (v_NBa))
% 247.26/52.58 | ~ (c_in @
% 247.26/52.58 (c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ X4 @
% 247.26/52.58 (c_Message_Omsg_OMPair @
% 247.26/52.58 (c_Message_Omsg_OCrypt @ (c_Public_OshrK @ X4) @
% 247.26/52.58 (c_Message_Omsg_OMPair @ (c_Message_Omsg_OAgent @ X3) @
% 247.26/52.58 (c_Message_Omsg_OMPair @ (c_Message_Omsg_OKey @ v_K) @
% 247.26/52.58 (c_Message_Omsg_OMPair @ X2 @ X1)))) @
% 247.26/52.58 X0)) @
% 247.26/52.58 (c_List_Oset @ v_evso @ tc_Event_Oevent) @ tc_Event_Oevent))),
% 247.26/52.58 inference('s_sup-', [status(thm)],
% 247.26/52.58 [zip_derived_cl71557, zip_derived_cl55822])).
% 247.26/52.58 thf(zip_derived_cl71766, plain, (((v_NB) = (v_NBa))),
% 247.26/52.58 inference('s_sup-', [status(thm)],
% 247.26/52.58 [zip_derived_cl2969, zip_derived_cl71598])).
% 247.26/52.58 thf(zip_derived_cl71789, plain,
% 247.26/52.58 (![X0 : $i]:
% 247.26/52.58 (((v_NBa) != (v_NBa))
% 247.26/52.58 | ((v_NA) != (v_NAa))
% 247.26/52.58 | ((X0) != (c_Message_Omsg_OKey @ v_K)))),
% 247.26/52.58 inference('demod', [status(thm)],
% 247.26/52.58 [zip_derived_cl2974, zip_derived_cl71766])).
% 247.26/52.58 thf(zip_derived_cl71790, plain,
% 247.26/52.58 (![X0 : $i]:
% 247.26/52.58 (((X0) != (c_Message_Omsg_OKey @ v_K)) | ((v_NA) != (v_NAa)))),
% 247.26/52.58 inference('simplify', [status(thm)], [zip_derived_cl71789])).
% 247.26/52.58 thf(cls_conjecture_5, conjecture,
% 247.26/52.58 (~( c_in @
% 247.26/52.58 ( c_Event_Oevent_OSays @
% 247.26/52.58 v_B @ c_Message_Oagent_OServer @
% 247.26/52.58 ( c_Message_Omsg_OMPair @
% 247.26/52.58 ( c_Message_Omsg_OAgent @ v_B ) @
% 247.26/52.58 ( c_Message_Omsg_OCrypt @
% 247.26/52.58 ( c_Public_OshrK @ v_B ) @
% 247.26/52.58 ( c_Message_Omsg_OMPair @
% 247.26/52.58 ( c_Message_Omsg_OAgent @ v_A ) @
% 247.26/52.58 ( c_Message_Omsg_OMPair @
% 247.26/52.58 ( c_Message_Omsg_ONonce @ v_NA ) @
% 247.26/52.58 ( c_Message_Omsg_ONonce @ v_NB ) ) ) ) ) ) @
% 247.26/52.58 ( c_List_Oset @ v_evso @ tc_Event_Oevent ) @ tc_Event_Oevent ))).
% 247.26/52.58 thf(zf_stmt_5, negated_conjecture,
% 247.26/52.58 (c_in @
% 247.26/52.58 ( c_Event_Oevent_OSays @
% 247.26/52.58 v_B @ c_Message_Oagent_OServer @
% 247.26/52.58 ( c_Message_Omsg_OMPair @
% 247.26/52.58 ( c_Message_Omsg_OAgent @ v_B ) @
% 247.26/52.58 ( c_Message_Omsg_OCrypt @
% 247.26/52.58 ( c_Public_OshrK @ v_B ) @
% 247.26/52.58 ( c_Message_Omsg_OMPair @
% 247.26/52.58 ( c_Message_Omsg_OAgent @ v_A ) @
% 247.26/52.58 ( c_Message_Omsg_OMPair @
% 247.26/52.58 ( c_Message_Omsg_ONonce @ v_NA ) @
% 247.26/52.58 ( c_Message_Omsg_ONonce @ v_NB ) ) ) ) ) ) @
% 247.26/52.58 ( c_List_Oset @ v_evso @ tc_Event_Oevent ) @ tc_Event_Oevent),
% 247.26/52.58 inference('cnf.neg', [status(esa)], [cls_conjecture_5])).
% 247.26/52.58 thf(zip_derived_cl2971, plain,
% 247.26/52.58 ( (c_in @
% 247.26/52.58 (c_Event_Oevent_OSays @ v_B @ c_Message_Oagent_OServer @
% 247.26/52.58 (c_Message_Omsg_OMPair @ (c_Message_Omsg_OAgent @ v_B) @
% 247.26/52.58 (c_Message_Omsg_OCrypt @ (c_Public_OshrK @ v_B) @
% 247.26/52.58 (c_Message_Omsg_OMPair @ (c_Message_Omsg_OAgent @ v_A) @
% 247.26/52.58 (c_Message_Omsg_OMPair @ (c_Message_Omsg_ONonce @ v_NA) @
% 247.26/52.58 (c_Message_Omsg_ONonce @ v_NB)))))) @
% 247.26/52.58 (c_List_Oset @ v_evso @ tc_Event_Oevent) @ tc_Event_Oevent)),
% 247.26/52.58 inference('cnf', [status(esa)], [zf_stmt_5])).
% 247.26/52.58 thf(zip_derived_cl71766, plain, (((v_NB) = (v_NBa))),
% 247.26/52.58 inference('s_sup-', [status(thm)],
% 247.26/52.58 [zip_derived_cl2969, zip_derived_cl71598])).
% 247.26/52.58 thf(zip_derived_cl71786, plain,
% 247.26/52.58 ( (c_in @
% 247.26/52.58 (c_Event_Oevent_OSays @ v_B @ c_Message_Oagent_OServer @
% 247.26/52.58 (c_Message_Omsg_OMPair @ (c_Message_Omsg_OAgent @ v_B) @
% 247.26/52.58 (c_Message_Omsg_OCrypt @ (c_Public_OshrK @ v_B) @
% 247.26/52.58 (c_Message_Omsg_OMPair @ (c_Message_Omsg_OAgent @ v_A) @
% 247.26/52.58 (c_Message_Omsg_OMPair @ (c_Message_Omsg_ONonce @ v_NA) @
% 247.26/52.58 (c_Message_Omsg_ONonce @ v_NBa)))))) @
% 247.26/52.58 (c_List_Oset @ v_evso @ tc_Event_Oevent) @ tc_Event_Oevent)),
% 247.26/52.58 inference('demod', [status(thm)],
% 247.26/52.58 [zip_derived_cl2971, zip_derived_cl71766])).
% 247.26/52.58 thf(zip_derived_cl2969, plain,
% 247.26/52.58 ( (c_in @
% 247.26/52.58 (c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ v_Aa @
% 247.26/52.58 (c_Message_Omsg_OMPair @
% 247.26/52.58 (c_Message_Omsg_OCrypt @ (c_Public_OshrK @ v_Aa) @
% 247.26/52.58 (c_Message_Omsg_OMPair @ (c_Message_Omsg_OAgent @ v_Ba) @
% 247.26/52.58 (c_Message_Omsg_OMPair @ (c_Message_Omsg_OKey @ v_K) @
% 247.26/52.58 (c_Message_Omsg_OMPair @ (c_Message_Omsg_ONonce @ v_NAa) @
% 247.26/52.58 (c_Message_Omsg_ONonce @ v_NBa))))) @
% 247.26/52.58 v_X)) @
% 247.26/52.58 (c_List_Oset @ v_evso @ tc_Event_Oevent) @ tc_Event_Oevent)),
% 247.26/52.58 inference('cnf', [status(esa)], [zf_stmt_1])).
% 247.26/52.58 thf(zip_derived_cl2968, plain,
% 247.26/52.58 ( (c_in @ v_evso @ c_Yahalom_Oyahalom @ (tc_List_Olist @ tc_Event_Oevent))),
% 247.26/52.58 inference('cnf', [status(esa)], [zf_stmt_3])).
% 247.26/52.58 thf(cls_Yahalom_OSays__Server__imp__YM2_0, axiom,
% 247.26/52.58 (( ~( c_in @
% 247.26/52.58 V_evs @ c_Yahalom_Oyahalom @ ( tc_List_Olist @ tc_Event_Oevent ) ) ) |
% 247.26/52.58 ( ~( c_in @
% 247.26/52.58 ( c_Event_Oevent_OSays @
% 247.26/52.58 c_Message_Oagent_OServer @ V_A @
% 247.26/52.58 ( c_Message_Omsg_OMPair @
% 247.26/52.58 ( c_Message_Omsg_OCrypt @
% 247.26/52.58 ( c_Public_OshrK @ V_A ) @
% 247.26/52.58 ( c_Message_Omsg_OMPair @
% 247.26/52.58 ( c_Message_Omsg_OAgent @ V_B ) @
% 247.26/52.58 ( c_Message_Omsg_OMPair @
% 247.26/52.58 V_k @ ( c_Message_Omsg_OMPair @ V_na @ V_nb ) ) ) ) @
% 247.26/52.58 V_X ) ) @
% 247.26/52.58 ( c_List_Oset @ V_evs @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) |
% 247.26/52.58 ( c_in @
% 247.26/52.58 ( c_Event_Oevent_OGets @
% 247.26/52.58 c_Message_Oagent_OServer @
% 247.26/52.58 ( c_Message_Omsg_OMPair @
% 247.26/52.58 ( c_Message_Omsg_OAgent @ V_B ) @
% 247.26/52.58 ( c_Message_Omsg_OCrypt @
% 247.26/52.58 ( c_Public_OshrK @ V_B ) @
% 247.26/52.58 ( c_Message_Omsg_OMPair @
% 247.26/52.58 ( c_Message_Omsg_OAgent @ V_A ) @
% 247.26/52.58 ( c_Message_Omsg_OMPair @ V_na @ V_nb ) ) ) ) ) @
% 247.26/52.58 ( c_List_Oset @ V_evs @ tc_Event_Oevent ) @ tc_Event_Oevent ))).
% 247.26/52.58 thf(zip_derived_cl2954, plain,
% 247.26/52.58 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 247.26/52.58 (~ (c_in @ X0 @ c_Yahalom_Oyahalom @ (tc_List_Olist @ tc_Event_Oevent))
% 247.26/52.58 | ~ (c_in @
% 247.26/52.58 (c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ X1 @
% 247.26/52.58 (c_Message_Omsg_OMPair @
% 247.26/52.58 (c_Message_Omsg_OCrypt @ (c_Public_OshrK @ X1) @
% 247.26/52.58 (c_Message_Omsg_OMPair @ (c_Message_Omsg_OAgent @ X2) @
% 247.26/52.59 (c_Message_Omsg_OMPair @ X3 @
% 247.26/52.59 (c_Message_Omsg_OMPair @ X4 @ X5)))) @
% 247.26/52.59 X6)) @
% 247.26/52.59 (c_List_Oset @ X0 @ tc_Event_Oevent) @ tc_Event_Oevent)
% 247.26/52.59 | (c_in @
% 247.26/52.59 (c_Event_Oevent_OGets @ c_Message_Oagent_OServer @
% 247.26/52.59 (c_Message_Omsg_OMPair @ (c_Message_Omsg_OAgent @ X2) @
% 247.26/52.59 (c_Message_Omsg_OCrypt @ (c_Public_OshrK @ X2) @
% 247.26/52.59 (c_Message_Omsg_OMPair @ (c_Message_Omsg_OAgent @ X1) @
% 247.26/52.59 (c_Message_Omsg_OMPair @ X4 @ X5))))) @
% 247.26/52.59 (c_List_Oset @ X0 @ tc_Event_Oevent) @ tc_Event_Oevent))),
% 247.26/52.59 inference('cnf', [status(esa)], [cls_Yahalom_OSays__Server__imp__YM2_0])).
% 247.26/52.59 thf(zip_derived_cl57826, plain,
% 247.26/52.59 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 247.26/52.59 (~ (c_in @
% 247.26/52.59 (c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ X5 @
% 247.26/52.59 (c_Message_Omsg_OMPair @
% 247.26/52.59 (c_Message_Omsg_OCrypt @ (c_Public_OshrK @ X5) @
% 247.26/52.59 (c_Message_Omsg_OMPair @ (c_Message_Omsg_OAgent @ X4) @
% 247.26/52.59 (c_Message_Omsg_OMPair @ X3 @
% 247.26/52.59 (c_Message_Omsg_OMPair @ X2 @ X1)))) @
% 247.26/52.59 X0)) @
% 247.26/52.59 (c_List_Oset @ v_evso @ tc_Event_Oevent) @ tc_Event_Oevent)
% 247.26/52.59 | (c_in @
% 247.26/52.59 (c_Event_Oevent_OGets @ c_Message_Oagent_OServer @
% 247.26/52.59 (c_Message_Omsg_OMPair @ (c_Message_Omsg_OAgent @ X4) @
% 247.26/52.59 (c_Message_Omsg_OCrypt @ (c_Public_OshrK @ X4) @
% 247.26/52.59 (c_Message_Omsg_OMPair @ (c_Message_Omsg_OAgent @ X5) @
% 247.26/52.59 (c_Message_Omsg_OMPair @ X2 @ X1))))) @
% 247.26/52.59 (c_List_Oset @ v_evso @ tc_Event_Oevent) @ tc_Event_Oevent))),
% 247.26/52.59 inference('s_sup-', [status(thm)],
% 247.26/52.59 [zip_derived_cl2968, zip_derived_cl2954])).
% 247.26/52.59 thf(zip_derived_cl66912, plain,
% 247.26/52.59 ( (c_in @
% 247.26/52.59 (c_Event_Oevent_OGets @ c_Message_Oagent_OServer @
% 247.26/52.59 (c_Message_Omsg_OMPair @ (c_Message_Omsg_OAgent @ v_Ba) @
% 247.26/52.59 (c_Message_Omsg_OCrypt @ (c_Public_OshrK @ v_Ba) @
% 247.26/52.59 (c_Message_Omsg_OMPair @ (c_Message_Omsg_OAgent @ v_Aa) @
% 247.26/52.59 (c_Message_Omsg_OMPair @ (c_Message_Omsg_ONonce @ v_NAa) @
% 247.26/52.59 (c_Message_Omsg_ONonce @ v_NBa)))))) @
% 247.26/52.59 (c_List_Oset @ v_evso @ tc_Event_Oevent) @ tc_Event_Oevent)),
% 247.26/52.59 inference('s_sup-', [status(thm)],
% 247.26/52.59 [zip_derived_cl2969, zip_derived_cl57826])).
% 247.26/52.59 thf(cls_List_Oin__listsD__dest_0, axiom,
% 247.26/52.59 (( ~( c_in @ V_xs @ ( c_List_Olists @ V_A @ T_a ) @ ( tc_List_Olist @ T_a ) ) ) |
% 247.26/52.59 ( ~( c_in @ V_U @ ( c_List_Oset @ V_xs @ T_a ) @ T_a ) ) |
% 247.26/52.59 ( c_in @ V_U @ V_A @ T_a ))).
% 247.26/52.59 thf(zip_derived_cl45, plain,
% 247.26/52.59 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 247.26/52.59 (~ (c_in @ X0 @ (c_List_Olists @ X1 @ X2) @ (tc_List_Olist @ X2))
% 247.26/52.59 | ~ (c_in @ X3 @ (c_List_Oset @ X0 @ X2) @ X2)
% 247.26/52.59 | (c_in @ X3 @ X1 @ X2))),
% 247.26/52.59 inference('cnf', [status(esa)], [cls_List_Oin__listsD__dest_0])).
% 247.26/52.59 thf(zip_derived_cl66920, plain,
% 247.26/52.59 (![X0 : $i]:
% 247.26/52.59 (~ (c_in @ v_evso @ (c_List_Olists @ X0 @ tc_Event_Oevent) @
% 247.26/52.59 (tc_List_Olist @ tc_Event_Oevent))
% 247.26/52.59 | (c_in @
% 247.26/52.59 (c_Event_Oevent_OGets @ c_Message_Oagent_OServer @
% 247.26/52.59 (c_Message_Omsg_OMPair @ (c_Message_Omsg_OAgent @ v_Ba) @
% 247.26/52.59 (c_Message_Omsg_OCrypt @ (c_Public_OshrK @ v_Ba) @
% 247.26/52.59 (c_Message_Omsg_OMPair @ (c_Message_Omsg_OAgent @ v_Aa) @
% 247.26/52.59 (c_Message_Omsg_OMPair @ (c_Message_Omsg_ONonce @ v_NAa) @
% 247.26/52.59 (c_Message_Omsg_ONonce @ v_NBa)))))) @
% 247.26/52.59 X0 @ tc_Event_Oevent))),
% 247.26/52.59 inference('s_sup-', [status(thm)],
% 247.26/52.59 [zip_derived_cl66912, zip_derived_cl45])).
% 247.26/52.59 thf(zip_derived_cl2968, plain,
% 247.26/52.59 ( (c_in @ v_evso @ c_Yahalom_Oyahalom @ (tc_List_Olist @ tc_Event_Oevent))),
% 247.26/52.59 inference('cnf', [status(esa)], [zf_stmt_3])).
% 247.26/52.59 thf(cls_Yahalom_OSays__unique__NB_0, axiom,
% 247.26/52.59 (( ~( c_in @
% 247.26/52.59 V_evs @ c_Yahalom_Oyahalom @ ( tc_List_Olist @ tc_Event_Oevent ) ) ) |
% 247.26/52.59 ( ~( c_in @
% 247.26/52.59 ( c_Event_Oevent_OGets @
% 247.26/52.59 V_S_H @
% 247.26/52.59 ( c_Message_Omsg_OMPair @
% 247.26/52.59 V_X_H @
% 247.26/52.59 ( c_Message_Omsg_OCrypt @
% 247.26/52.59 ( c_Public_OshrK @ V_B_H ) @
% 247.26/52.59 ( c_Message_Omsg_OMPair @
% 247.26/52.59 ( c_Message_Omsg_OAgent @ V_A_H ) @
% 247.26/52.59 ( c_Message_Omsg_OMPair @
% 247.26/52.59 ( c_Message_Omsg_ONonce @ V_NA_H ) @ V_nb ) ) ) ) ) @
% 247.26/52.59 ( c_List_Oset @ V_evs @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) |
% 247.26/52.59 ( ~( c_in @
% 247.26/52.59 ( c_Event_Oevent_OSays @
% 247.26/52.59 V_C @ V_S @
% 247.26/52.59 ( c_Message_Omsg_OMPair @
% 247.26/52.59 V_X @
% 247.26/52.59 ( c_Message_Omsg_OCrypt @
% 247.26/52.59 ( c_Public_OshrK @ V_B ) @
% 247.26/52.59 ( c_Message_Omsg_OMPair @
% 247.26/52.59 ( c_Message_Omsg_OAgent @ V_A ) @
% 247.26/52.59 ( c_Message_Omsg_OMPair @
% 247.26/52.59 ( c_Message_Omsg_ONonce @ V_NA ) @ V_nb ) ) ) ) ) @
% 247.26/52.59 ( c_List_Oset @ V_evs @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) |
% 247.26/52.59 ( c_in @
% 247.26/52.59 V_nb @
% 247.26/52.59 ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ V_evs ) ) @
% 247.26/52.59 tc_Message_Omsg ) |
% 247.26/52.59 ( ( V_NA_H ) = ( V_NA ) ))).
% 247.26/52.59 thf(zip_derived_cl2955, plain,
% 247.26/52.59 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 247.26/52.59 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i]:
% 247.26/52.59 (~ (c_in @ X0 @ c_Yahalom_Oyahalom @ (tc_List_Olist @ tc_Event_Oevent))
% 247.26/52.59 | ~ (c_in @
% 247.26/52.59 (c_Event_Oevent_OGets @ X1 @
% 247.26/52.59 (c_Message_Omsg_OMPair @ X2 @
% 247.26/52.59 (c_Message_Omsg_OCrypt @ (c_Public_OshrK @ X3) @
% 247.26/52.59 (c_Message_Omsg_OMPair @ (c_Message_Omsg_OAgent @ X4) @
% 247.26/52.59 (c_Message_Omsg_OMPair @ (c_Message_Omsg_ONonce @ X5) @ X6))))) @
% 247.26/52.59 (c_List_Oset @ X0 @ tc_Event_Oevent) @ tc_Event_Oevent)
% 247.26/52.59 | ~ (c_in @
% 247.26/52.59 (c_Event_Oevent_OSays @ X7 @ X8 @
% 247.26/52.59 (c_Message_Omsg_OMPair @ X9 @
% 247.26/52.59 (c_Message_Omsg_OCrypt @ (c_Public_OshrK @ X10) @
% 247.26/52.59 (c_Message_Omsg_OMPair @ (c_Message_Omsg_OAgent @ X11) @
% 247.26/52.59 (c_Message_Omsg_OMPair @ (c_Message_Omsg_ONonce @ X12) @ X6))))) @
% 247.26/52.59 (c_List_Oset @ X0 @ tc_Event_Oevent) @ tc_Event_Oevent)
% 247.26/52.59 | (c_in @ X6 @
% 247.26/52.59 (c_Message_Oanalz @ (c_Event_Oknows @ c_Message_Oagent_OSpy @ X0)) @
% 247.26/52.59 tc_Message_Omsg)
% 247.26/52.59 | ((X5) = (X12)))),
% 247.26/52.59 inference('cnf', [status(esa)], [cls_Yahalom_OSays__unique__NB_0])).
% 247.26/52.59 thf(zip_derived_cl57835, plain,
% 247.26/52.59 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 247.26/52.59 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i]:
% 247.26/52.59 (~ (c_in @
% 247.26/52.59 (c_Event_Oevent_OGets @ X5 @
% 247.26/52.59 (c_Message_Omsg_OMPair @ X4 @
% 247.26/52.59 (c_Message_Omsg_OCrypt @ (c_Public_OshrK @ X3) @
% 247.26/52.59 (c_Message_Omsg_OMPair @ (c_Message_Omsg_OAgent @ X2) @
% 247.26/52.59 (c_Message_Omsg_OMPair @ (c_Message_Omsg_ONonce @ X1) @ X0))))) @
% 247.26/52.59 (c_List_Oset @ v_evso @ tc_Event_Oevent) @ tc_Event_Oevent)
% 247.26/52.59 | ~ (c_in @
% 247.26/52.59 (c_Event_Oevent_OSays @ X11 @ X10 @
% 247.26/52.59 (c_Message_Omsg_OMPair @ X9 @
% 247.26/52.59 (c_Message_Omsg_OCrypt @ (c_Public_OshrK @ X8) @
% 247.26/52.59 (c_Message_Omsg_OMPair @ (c_Message_Omsg_OAgent @ X7) @
% 247.26/52.59 (c_Message_Omsg_OMPair @ (c_Message_Omsg_ONonce @ X6) @ X0))))) @
% 247.26/52.59 (c_List_Oset @ v_evso @ tc_Event_Oevent) @ tc_Event_Oevent)
% 247.26/52.59 | (c_in @ X0 @
% 247.26/52.59 (c_Message_Oanalz @
% 247.26/52.59 (c_Event_Oknows @ c_Message_Oagent_OSpy @ v_evso)) @
% 247.26/52.59 tc_Message_Omsg)
% 247.26/52.59 | ((X1) = (X6)))),
% 247.26/52.59 inference('s_sup-', [status(thm)],
% 247.26/52.59 [zip_derived_cl2968, zip_derived_cl2955])).
% 247.26/52.59 thf(zip_derived_cl71343, plain,
% 247.26/52.59 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 247.26/52.59 (~ (c_in @ v_evso @
% 247.26/52.59 (c_List_Olists @ (c_List_Oset @ v_evso @ tc_Event_Oevent) @
% 247.26/52.59 tc_Event_Oevent) @
% 247.26/52.59 (tc_List_Olist @ tc_Event_Oevent))
% 247.26/52.59 | ~ (c_in @
% 247.26/52.59 (c_Event_Oevent_OSays @ X5 @ X4 @
% 247.26/52.59 (c_Message_Omsg_OMPair @ X3 @
% 247.26/52.59 (c_Message_Omsg_OCrypt @ (c_Public_OshrK @ X2) @
% 247.26/52.59 (c_Message_Omsg_OMPair @ (c_Message_Omsg_OAgent @ X1) @
% 247.26/52.59 (c_Message_Omsg_OMPair @ (c_Message_Omsg_ONonce @ X0) @
% 247.26/52.59 (c_Message_Omsg_ONonce @ v_NBa)))))) @
% 247.26/52.59 (c_List_Oset @ v_evso @ tc_Event_Oevent) @ tc_Event_Oevent)
% 247.26/52.59 | (c_in @ (c_Message_Omsg_ONonce @ v_NBa) @
% 247.26/52.59 (c_Message_Oanalz @
% 247.26/52.59 (c_Event_Oknows @ c_Message_Oagent_OSpy @ v_evso)) @
% 247.26/52.59 tc_Message_Omsg)
% 247.26/52.59 | ((v_NAa) = (X0)))),
% 247.26/52.59 inference('s_sup-', [status(thm)],
% 247.26/52.59 [zip_derived_cl66920, zip_derived_cl57835])).
% 247.26/52.59 thf(cls_List_Oin__listsI_0, axiom,
% 247.26/52.59 (( c_in @ V_xs @ ( c_List_Olists @ V_A @ T_a ) @ ( tc_List_Olist @ T_a ) ) |
% 247.26/52.59 ( c_in @
% 247.26/52.59 ( c_Main_Oin__listsI__1 @ V_A @ V_xs @ T_a ) @
% 247.26/52.59 ( c_List_Oset @ V_xs @ T_a ) @ T_a ))).
% 247.26/52.59 thf(zip_derived_cl46, plain,
% 247.26/52.59 (![X0 : $i, X1 : $i, X2 : $i]:
% 247.26/52.59 ( (c_in @ X0 @ (c_List_Olists @ X1 @ X2) @ (tc_List_Olist @ X2))
% 247.26/52.59 | (c_in @ (c_Main_Oin__listsI__1 @ X1 @ X0 @ X2) @
% 247.26/52.59 (c_List_Oset @ X0 @ X2) @ X2))),
% 247.26/52.59 inference('cnf', [status(esa)], [cls_List_Oin__listsI_0])).
% 247.26/52.59 thf(cls_List_Oin__listsI_1, axiom,
% 247.26/52.59 (( ~( c_in @ ( c_Main_Oin__listsI__1 @ V_A @ V_xs @ T_a ) @ V_A @ T_a ) ) |
% 247.26/52.59 ( c_in @ V_xs @ ( c_List_Olists @ V_A @ T_a ) @ ( tc_List_Olist @ T_a ) ))).
% 247.26/52.59 thf(zip_derived_cl47, plain,
% 247.26/52.59 (![X0 : $i, X1 : $i, X2 : $i]:
% 247.26/52.59 (~ (c_in @ (c_Main_Oin__listsI__1 @ X0 @ X1 @ X2) @ X0 @ X2)
% 247.26/52.59 | (c_in @ X1 @ (c_List_Olists @ X0 @ X2) @ (tc_List_Olist @ X2)))),
% 247.26/52.59 inference('cnf', [status(esa)], [cls_List_Oin__listsI_1])).
% 247.26/52.59 thf(zip_derived_cl33703, plain,
% 247.26/52.59 (![X0 : $i, X1 : $i]:
% 247.26/52.59 ( (c_in @ X1 @ (c_List_Olists @ (c_List_Oset @ X1 @ X0) @ X0) @
% 247.26/52.59 (tc_List_Olist @ X0))
% 247.26/52.59 | (c_in @ X1 @ (c_List_Olists @ (c_List_Oset @ X1 @ X0) @ X0) @
% 247.26/52.59 (tc_List_Olist @ X0)))),
% 247.26/52.59 inference('s_sup-', [status(thm)], [zip_derived_cl46, zip_derived_cl47])).
% 247.26/52.59 thf(zip_derived_cl33704, plain,
% 247.26/52.59 (![X0 : $i, X1 : $i]:
% 247.26/52.59 (c_in @ X1 @ (c_List_Olists @ (c_List_Oset @ X1 @ X0) @ X0) @
% 247.26/52.59 (tc_List_Olist @ X0))),
% 247.26/52.59 inference('simplify', [status(thm)], [zip_derived_cl33703])).
% 247.26/52.59 thf(zip_derived_cl71347, plain,
% 247.26/52.59 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 247.26/52.59 (~ (c_in @
% 247.26/52.59 (c_Event_Oevent_OSays @ X5 @ X4 @
% 247.26/52.59 (c_Message_Omsg_OMPair @ X3 @
% 247.26/52.59 (c_Message_Omsg_OCrypt @ (c_Public_OshrK @ X2) @
% 247.26/52.59 (c_Message_Omsg_OMPair @ (c_Message_Omsg_OAgent @ X1) @
% 247.26/52.59 (c_Message_Omsg_OMPair @ (c_Message_Omsg_ONonce @ X0) @
% 247.26/52.59 (c_Message_Omsg_ONonce @ v_NBa)))))) @
% 247.26/52.59 (c_List_Oset @ v_evso @ tc_Event_Oevent) @ tc_Event_Oevent)
% 247.26/52.59 | (c_in @ (c_Message_Omsg_ONonce @ v_NBa) @
% 247.26/52.59 (c_Message_Oanalz @
% 247.26/52.59 (c_Event_Oknows @ c_Message_Oagent_OSpy @ v_evso)) @
% 247.26/52.59 tc_Message_Omsg)
% 247.26/52.59 | ((v_NAa) = (X0)))),
% 247.26/52.59 inference('demod', [status(thm)],
% 247.26/52.59 [zip_derived_cl71343, zip_derived_cl33704])).
% 247.26/52.59 thf(zip_derived_cl2972, plain,
% 247.26/52.59 (~ (c_in @ (c_Message_Omsg_ONonce @ v_NB) @
% 247.26/52.59 (c_Message_Oanalz @ (c_Event_Oknows @ c_Message_Oagent_OSpy @ v_evso)) @
% 247.26/52.59 tc_Message_Omsg)),
% 247.26/52.59 inference('cnf', [status(esa)], [zf_stmt_4])).
% 247.26/52.59 thf(zip_derived_cl71766, plain, (((v_NB) = (v_NBa))),
% 247.26/52.59 inference('s_sup-', [status(thm)],
% 247.26/52.59 [zip_derived_cl2969, zip_derived_cl71598])).
% 247.26/52.59 thf(zip_derived_cl71787, plain,
% 247.26/52.59 (~ (c_in @ (c_Message_Omsg_ONonce @ v_NBa) @
% 247.26/52.59 (c_Message_Oanalz @ (c_Event_Oknows @ c_Message_Oagent_OSpy @ v_evso)) @
% 247.26/52.59 tc_Message_Omsg)),
% 247.26/52.59 inference('demod', [status(thm)],
% 247.26/52.59 [zip_derived_cl2972, zip_derived_cl71766])).
% 247.26/52.59 thf(zip_derived_cl92055, plain,
% 247.26/52.59 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 247.26/52.59 (~ (c_in @
% 247.26/52.59 (c_Event_Oevent_OSays @ X5 @ X4 @
% 247.26/52.59 (c_Message_Omsg_OMPair @ X3 @
% 247.26/52.59 (c_Message_Omsg_OCrypt @ (c_Public_OshrK @ X2) @
% 247.26/52.59 (c_Message_Omsg_OMPair @ (c_Message_Omsg_OAgent @ X1) @
% 247.26/52.59 (c_Message_Omsg_OMPair @ (c_Message_Omsg_ONonce @ X0) @
% 247.26/52.59 (c_Message_Omsg_ONonce @ v_NBa)))))) @
% 247.26/52.59 (c_List_Oset @ v_evso @ tc_Event_Oevent) @ tc_Event_Oevent)
% 247.26/52.59 | ((v_NAa) = (X0)))),
% 247.26/52.59 inference('demod', [status(thm)],
% 247.26/52.59 [zip_derived_cl71347, zip_derived_cl71787])).
% 247.26/52.59 thf(zip_derived_cl92057, plain, (((v_NAa) = (v_NA))),
% 247.26/52.59 inference('s_sup-', [status(thm)],
% 247.26/52.59 [zip_derived_cl71786, zip_derived_cl92055])).
% 247.26/52.59 thf(zip_derived_cl92063, plain,
% 247.26/52.59 (![X0 : $i]:
% 247.26/52.59 (((X0) != (c_Message_Omsg_OKey @ v_K)) | ((v_NAa) != (v_NAa)))),
% 247.26/52.59 inference('demod', [status(thm)],
% 247.26/52.59 [zip_derived_cl71790, zip_derived_cl92057])).
% 247.26/52.59 thf(zip_derived_cl92064, plain,
% 247.26/52.59 (![X0 : $i]: ((X0) != (c_Message_Omsg_OKey @ v_K))),
% 247.26/52.59 inference('simplify', [status(thm)], [zip_derived_cl92063])).
% 247.26/52.59 thf(zip_derived_cl92144, plain, ($false),
% 247.26/52.59 inference('eq_res', [status(thm)], [zip_derived_cl92064])).
% 247.26/52.59
% 247.26/52.59 % SZS output end Refutation
% 247.26/52.59
% 247.26/52.59
% 247.26/52.59 % Terminating...
% 247.65/52.77 % Runner terminated.
% 247.69/52.79 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------