%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SWV298-2 : 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.Vw4H1laMd6 true
% Computer : n004.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 05:00:41 PM UTC 2025
% Result : Unsatisfiable 0.57s 0.82s
% Output : Refutation 0.57s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SWV298-2 : TPTP v9.2.0. Released v3.2.0.
% 0.14/0.14 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.Vw4H1laMd6 true
% 0.14/0.34 % Computer : n004.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Wed Oct 1 12:42:23 EDT 2025
% 0.14/0.34 % CPUTime :
% 0.14/0.34 % Running portfolio for 300 s
% 0.14/0.35 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.35 % Number of cores: 8
% 0.14/0.35 % Python version: Python 3.6.8
% 0.14/0.35 % Running in FO mode
% 0.55/0.64 % Total configuration time : 435
% 0.55/0.64 % Estimated wc time : 1092
% 0.55/0.64 % Estimated cpu time (7 cpus) : 156.0
% 0.57/0.76 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.57/0.77 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.57/0.77 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.57/0.77 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.57/0.77 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.57/0.77 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.57/0.77 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.57/0.82 % Solved by fo/fo3_bce.sh.
% 0.57/0.82 % BCE start: 10
% 0.57/0.82 % BCE eliminated: 0
% 0.57/0.82 % PE start: 10
% 0.57/0.82 logic: eq
% 0.57/0.82 % PE eliminated: 0
% 0.57/0.82 % done 41 iterations in 0.034s
% 0.57/0.82 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.57/0.82 % SZS output start Refutation
% 0.57/0.82 thf(c_in_type, type, c_in: $i > $i > $i > $o).
% 0.57/0.82 thf(v_Ba_type, type, v_Ba: $i).
% 0.57/0.82 thf(c_Event_Obad_type, type, c_Event_Obad: $i).
% 0.57/0.82 thf(c_Message_Oanalz_type, type, c_Message_Oanalz: $i > $i).
% 0.57/0.82 thf(c_Event_Oevent_OSays_type, type, c_Event_Oevent_OSays: $i > $i > $i > $i).
% 0.57/0.82 thf(c_Message_Omsg_ONonce_type, type, c_Message_Omsg_ONonce: $i > $i).
% 0.57/0.82 thf(v_A_type, type, v_A: $i).
% 0.57/0.82 thf(v_NB_type, type, v_NB: $i).
% 0.57/0.82 thf(tc_Event_Oevent_type, type, tc_Event_Oevent: $i).
% 0.57/0.82 thf(tc_Message_Omsg_type, type, tc_Message_Omsg: $i).
% 0.57/0.82 thf(v_Aa_type, type, v_Aa: $i).
% 0.57/0.82 thf(c_Message_Omsg_OMPair_type, type, c_Message_Omsg_OMPair: $i > $i > $i).
% 0.57/0.82 thf(c_Message_Oagent_OServer_type, type, c_Message_Oagent_OServer: $i).
% 0.57/0.82 thf(c_Message_Oparts_type, type, c_Message_Oparts: $i > $i).
% 0.57/0.82 thf(c_Public_OshrK_type, type, c_Public_OshrK: $i > $i).
% 0.57/0.82 thf(c_List_Oset_type, type, c_List_Oset: $i > $i > $i).
% 0.57/0.82 thf(tc_Message_Oagent_type, type, tc_Message_Oagent: $i).
% 0.57/0.82 thf(v_B_type, type, v_B: $i).
% 0.57/0.82 thf(c_Message_Omsg_OAgent_type, type, c_Message_Omsg_OAgent: $i > $i).
% 0.57/0.82 thf(c_Message_Oagent_OSpy_type, type, c_Message_Oagent_OSpy: $i).
% 0.57/0.82 thf(tc_List_Olist_type, type, tc_List_Olist: $i > $i).
% 0.57/0.82 thf(c_Message_Omsg_OCrypt_type, type, c_Message_Omsg_OCrypt: $i > $i > $i).
% 0.57/0.82 thf(c_Event_Oknows_type, type, c_Event_Oknows: $i > $i > $i).
% 0.57/0.82 thf(v_evs3_type, type, v_evs3: $i).
% 0.57/0.82 thf(v_NA_type, type, v_NA: $i).
% 0.57/0.82 thf(c_OtwayRees_Ootway_type, type, c_OtwayRees_Ootway: $i).
% 0.57/0.82 thf(cls_Event_OSays__imp__analz__Spy__dest_0, axiom,
% 0.57/0.82 (( ~( c_in @
% 0.57/0.82 ( c_Event_Oevent_OSays @ V_A @ V_B @ V_X ) @
% 0.57/0.82 ( c_List_Oset @ V_evs @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) |
% 0.57/0.82 ( c_in @
% 0.57/0.82 V_X @
% 0.57/0.82 ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ V_evs ) ) @
% 0.57/0.82 tc_Message_Omsg ))).
% 0.57/0.82 thf(zip_derived_cl5, plain,
% 0.57/0.82 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.57/0.82 (~ (c_in @ (c_Event_Oevent_OSays @ X0 @ X1 @ X2) @
% 0.57/0.82 (c_List_Oset @ X3 @ tc_Event_Oevent) @ tc_Event_Oevent)
% 0.57/0.82 | (c_in @ X2 @
% 0.57/0.82 (c_Message_Oanalz @ (c_Event_Oknows @ c_Message_Oagent_OSpy @ X3)) @
% 0.57/0.82 tc_Message_Omsg))),
% 0.57/0.82 inference('cnf', [status(esa)],
% 0.57/0.82 [cls_Event_OSays__imp__analz__Spy__dest_0])).
% 0.57/0.82 thf(cls_conjecture_3, conjecture,
% 0.57/0.82 (~( c_in @
% 0.57/0.82 ( c_Event_Oevent_OSays @
% 0.57/0.82 v_A @ v_B @
% 0.57/0.82 ( c_Message_Omsg_OMPair @
% 0.57/0.82 ( c_Message_Omsg_ONonce @ v_NA ) @
% 0.57/0.82 ( c_Message_Omsg_OMPair @
% 0.57/0.82 ( c_Message_Omsg_OAgent @ v_A ) @
% 0.57/0.82 ( c_Message_Omsg_OMPair @
% 0.57/0.82 ( c_Message_Omsg_OAgent @ v_B ) @
% 0.57/0.82 ( c_Message_Omsg_OCrypt @
% 0.57/0.82 ( c_Public_OshrK @ v_A ) @
% 0.57/0.82 ( c_Message_Omsg_OMPair @
% 0.57/0.82 ( c_Message_Omsg_ONonce @ v_NA ) @
% 0.57/0.82 ( c_Message_Omsg_OMPair @
% 0.57/0.82 ( c_Message_Omsg_OAgent @ v_A ) @
% 0.57/0.82 ( c_Message_Omsg_OAgent @ v_B ) ) ) ) ) ) ) ) @
% 0.57/0.82 ( c_List_Oset @ v_evs3 @ tc_Event_Oevent ) @ tc_Event_Oevent ))).
% 0.57/0.82 thf(zf_stmt_0, negated_conjecture,
% 0.57/0.82 (c_in @
% 0.57/0.82 ( c_Event_Oevent_OSays @
% 0.57/0.82 v_A @ v_B @
% 0.57/0.82 ( c_Message_Omsg_OMPair @
% 0.57/0.82 ( c_Message_Omsg_ONonce @ v_NA ) @
% 0.57/0.82 ( c_Message_Omsg_OMPair @
% 0.57/0.82 ( c_Message_Omsg_OAgent @ v_A ) @
% 0.57/0.82 ( c_Message_Omsg_OMPair @
% 0.57/0.82 ( c_Message_Omsg_OAgent @ v_B ) @
% 0.57/0.82 ( c_Message_Omsg_OCrypt @
% 0.57/0.82 ( c_Public_OshrK @ v_A ) @
% 0.57/0.82 ( c_Message_Omsg_OMPair @
% 0.57/0.82 ( c_Message_Omsg_ONonce @ v_NA ) @
% 0.57/0.82 ( c_Message_Omsg_OMPair @
% 0.57/0.82 ( c_Message_Omsg_OAgent @ v_A ) @
% 0.57/0.82 ( c_Message_Omsg_OAgent @ v_B ) ) ) ) ) ) ) ) @
% 0.57/0.82 ( c_List_Oset @ v_evs3 @ tc_Event_Oevent ) @ tc_Event_Oevent),
% 0.57/0.82 inference('cnf.neg', [status(esa)], [cls_conjecture_3])).
% 0.57/0.82 thf(zip_derived_cl2, plain,
% 0.57/0.82 ( (c_in @
% 0.57/0.82 (c_Event_Oevent_OSays @ v_A @ v_B @
% 0.57/0.82 (c_Message_Omsg_OMPair @ (c_Message_Omsg_ONonce @ v_NA) @
% 0.57/0.82 (c_Message_Omsg_OMPair @ (c_Message_Omsg_OAgent @ v_A) @
% 0.57/0.82 (c_Message_Omsg_OMPair @ (c_Message_Omsg_OAgent @ v_B) @
% 0.57/0.82 (c_Message_Omsg_OCrypt @ (c_Public_OshrK @ v_A) @
% 0.57/0.82 (c_Message_Omsg_OMPair @ (c_Message_Omsg_ONonce @ v_NA) @
% 0.57/0.82 (c_Message_Omsg_OMPair @ (c_Message_Omsg_OAgent @ v_A) @
% 0.57/0.82 (c_Message_Omsg_OAgent @ v_B)))))))) @
% 0.57/0.82 (c_List_Oset @ v_evs3 @ tc_Event_Oevent) @ tc_Event_Oevent)),
% 0.57/0.82 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.57/0.82 thf(zip_derived_cl45, plain,
% 0.57/0.82 ( (c_in @
% 0.57/0.82 (c_Message_Omsg_OMPair @ (c_Message_Omsg_ONonce @ v_NA) @
% 0.57/0.82 (c_Message_Omsg_OMPair @ (c_Message_Omsg_OAgent @ v_A) @
% 0.57/0.82 (c_Message_Omsg_OMPair @ (c_Message_Omsg_OAgent @ v_B) @
% 0.57/0.82 (c_Message_Omsg_OCrypt @ (c_Public_OshrK @ v_A) @
% 0.57/0.82 (c_Message_Omsg_OMPair @ (c_Message_Omsg_ONonce @ v_NA) @
% 0.57/0.82 (c_Message_Omsg_OMPair @ (c_Message_Omsg_OAgent @ v_A) @
% 0.57/0.82 (c_Message_Omsg_OAgent @ v_B))))))) @
% 0.57/0.82 (c_Message_Oanalz @ (c_Event_Oknows @ c_Message_Oagent_OSpy @ v_evs3)) @
% 0.57/0.82 tc_Message_Omsg)),
% 0.57/0.82 inference('sup+', [status(thm)], [zip_derived_cl5, zip_derived_cl2])).
% 0.57/0.82 thf(cls_Message_OMPair__analz_0, axiom,
% 0.57/0.82 (( ~( c_in @
% 0.57/0.82 ( c_Message_Omsg_OMPair @ V_X @ V_Y ) @ ( c_Message_Oanalz @ V_H ) @
% 0.57/0.82 tc_Message_Omsg ) ) |
% 0.57/0.82 ( c_in @ V_Y @ ( c_Message_Oanalz @ V_H ) @ tc_Message_Omsg ))).
% 0.57/0.82 thf(zip_derived_cl7, plain,
% 0.57/0.82 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.57/0.82 (~ (c_in @ (c_Message_Omsg_OMPair @ X0 @ X1) @
% 0.57/0.82 (c_Message_Oanalz @ X2) @ tc_Message_Omsg)
% 0.57/0.82 | (c_in @ X1 @ (c_Message_Oanalz @ X2) @ tc_Message_Omsg))),
% 0.57/0.82 inference('cnf', [status(esa)], [cls_Message_OMPair__analz_0])).
% 0.57/0.82 thf(zip_derived_cl51, plain,
% 0.57/0.82 ( (c_in @
% 0.57/0.82 (c_Message_Omsg_OMPair @ (c_Message_Omsg_OAgent @ v_A) @
% 0.57/0.82 (c_Message_Omsg_OMPair @ (c_Message_Omsg_OAgent @ v_B) @
% 0.57/0.82 (c_Message_Omsg_OCrypt @ (c_Public_OshrK @ v_A) @
% 0.57/0.82 (c_Message_Omsg_OMPair @ (c_Message_Omsg_ONonce @ v_NA) @
% 0.57/0.82 (c_Message_Omsg_OMPair @ (c_Message_Omsg_OAgent @ v_A) @
% 0.57/0.82 (c_Message_Omsg_OAgent @ v_B)))))) @
% 0.57/0.82 (c_Message_Oanalz @ (c_Event_Oknows @ c_Message_Oagent_OSpy @ v_evs3)) @
% 0.57/0.82 tc_Message_Omsg)),
% 0.57/0.82 inference('sup-', [status(thm)], [zip_derived_cl45, zip_derived_cl7])).
% 0.57/0.82 thf(zip_derived_cl7, plain,
% 0.57/0.82 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.57/0.82 (~ (c_in @ (c_Message_Omsg_OMPair @ X0 @ X1) @
% 0.57/0.82 (c_Message_Oanalz @ X2) @ tc_Message_Omsg)
% 0.57/0.82 | (c_in @ X1 @ (c_Message_Oanalz @ X2) @ tc_Message_Omsg))),
% 0.57/0.82 inference('cnf', [status(esa)], [cls_Message_OMPair__analz_0])).
% 0.57/0.82 thf(zip_derived_cl53, plain,
% 0.57/0.82 ( (c_in @
% 0.57/0.82 (c_Message_Omsg_OMPair @ (c_Message_Omsg_OAgent @ v_B) @
% 0.57/0.82 (c_Message_Omsg_OCrypt @ (c_Public_OshrK @ v_A) @
% 0.57/0.82 (c_Message_Omsg_OMPair @ (c_Message_Omsg_ONonce @ v_NA) @
% 0.57/0.82 (c_Message_Omsg_OMPair @ (c_Message_Omsg_OAgent @ v_A) @
% 0.57/0.82 (c_Message_Omsg_OAgent @ v_B))))) @
% 0.57/0.82 (c_Message_Oanalz @ (c_Event_Oknows @ c_Message_Oagent_OSpy @ v_evs3)) @
% 0.57/0.82 tc_Message_Omsg)),
% 0.57/0.82 inference('sup-', [status(thm)], [zip_derived_cl51, zip_derived_cl7])).
% 0.57/0.82 thf(zip_derived_cl7, plain,
% 0.57/0.82 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.57/0.82 (~ (c_in @ (c_Message_Omsg_OMPair @ X0 @ X1) @
% 0.57/0.82 (c_Message_Oanalz @ X2) @ tc_Message_Omsg)
% 0.57/0.82 | (c_in @ X1 @ (c_Message_Oanalz @ X2) @ tc_Message_Omsg))),
% 0.57/0.82 inference('cnf', [status(esa)], [cls_Message_OMPair__analz_0])).
% 0.57/0.82 thf(zip_derived_cl55, plain,
% 0.57/0.82 ( (c_in @
% 0.57/0.82 (c_Message_Omsg_OCrypt @ (c_Public_OshrK @ v_A) @
% 0.57/0.82 (c_Message_Omsg_OMPair @ (c_Message_Omsg_ONonce @ v_NA) @
% 0.57/0.82 (c_Message_Omsg_OMPair @ (c_Message_Omsg_OAgent @ v_A) @
% 0.57/0.82 (c_Message_Omsg_OAgent @ v_B)))) @
% 0.57/0.82 (c_Message_Oanalz @ (c_Event_Oknows @ c_Message_Oagent_OSpy @ v_evs3)) @
% 0.57/0.82 tc_Message_Omsg)),
% 0.57/0.82 inference('sup-', [status(thm)], [zip_derived_cl53, zip_derived_cl7])).
% 0.57/0.82 thf(zip_derived_cl5, plain,
% 0.57/0.82 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.57/0.82 (~ (c_in @ (c_Event_Oevent_OSays @ X0 @ X1 @ X2) @
% 0.57/0.82 (c_List_Oset @ X3 @ tc_Event_Oevent) @ tc_Event_Oevent)
% 0.57/0.82 | (c_in @ X2 @
% 0.57/0.82 (c_Message_Oanalz @ (c_Event_Oknows @ c_Message_Oagent_OSpy @ X3)) @
% 0.57/0.82 tc_Message_Omsg))),
% 0.57/0.82 inference('cnf', [status(esa)],
% 0.57/0.82 [cls_Event_OSays__imp__analz__Spy__dest_0])).
% 0.57/0.82 thf(cls_conjecture_4, conjecture,
% 0.57/0.82 (~( c_in @
% 0.57/0.82 ( c_Event_Oevent_OSays @
% 0.57/0.82 v_Aa @ c_Message_Oagent_OServer @
% 0.57/0.82 ( c_Message_Omsg_OMPair @
% 0.57/0.82 ( c_Message_Omsg_ONonce @ v_NA ) @
% 0.57/0.82 ( c_Message_Omsg_OMPair @
% 0.57/0.82 ( c_Message_Omsg_OAgent @ v_A ) @
% 0.57/0.82 ( c_Message_Omsg_OMPair @
% 0.57/0.82 ( c_Message_Omsg_OAgent @ v_Ba ) @
% 0.57/0.82 ( c_Message_Omsg_OMPair @
% 0.57/0.82 ( c_Message_Omsg_OCrypt @
% 0.57/0.82 ( c_Public_OshrK @ v_A ) @
% 0.57/0.82 ( c_Message_Omsg_OMPair @
% 0.57/0.82 ( c_Message_Omsg_ONonce @ v_NA ) @
% 0.57/0.82 ( c_Message_Omsg_OMPair @
% 0.57/0.82 ( c_Message_Omsg_OAgent @ v_A ) @
% 0.57/0.82 ( c_Message_Omsg_OAgent @ v_Ba ) ) ) ) @
% 0.57/0.82 ( c_Message_Omsg_OCrypt @
% 0.57/0.82 ( c_Public_OshrK @ v_Ba ) @
% 0.57/0.82 ( c_Message_Omsg_OMPair @
% 0.57/0.82 ( c_Message_Omsg_ONonce @ v_NA ) @
% 0.57/0.82 ( c_Message_Omsg_OMPair @
% 0.57/0.82 ( c_Message_Omsg_ONonce @ v_NB ) @
% 0.57/0.82 ( c_Message_Omsg_OMPair @
% 0.57/0.82 ( c_Message_Omsg_OAgent @ v_A ) @
% 0.57/0.82 ( c_Message_Omsg_OAgent @ v_Ba ) ) ) ) ) ) ) ) ) ) @
% 0.57/0.82 ( c_List_Oset @ v_evs3 @ tc_Event_Oevent ) @ tc_Event_Oevent ))).
% 0.57/0.82 thf(zf_stmt_1, negated_conjecture,
% 0.57/0.82 (c_in @
% 0.57/0.82 ( c_Event_Oevent_OSays @
% 0.57/0.82 v_Aa @ c_Message_Oagent_OServer @
% 0.57/0.82 ( c_Message_Omsg_OMPair @
% 0.57/0.82 ( c_Message_Omsg_ONonce @ v_NA ) @
% 0.57/0.82 ( c_Message_Omsg_OMPair @
% 0.57/0.82 ( c_Message_Omsg_OAgent @ v_A ) @
% 0.57/0.82 ( c_Message_Omsg_OMPair @
% 0.57/0.82 ( c_Message_Omsg_OAgent @ v_Ba ) @
% 0.57/0.82 ( c_Message_Omsg_OMPair @
% 0.57/0.82 ( c_Message_Omsg_OCrypt @
% 0.57/0.82 ( c_Public_OshrK @ v_A ) @
% 0.57/0.82 ( c_Message_Omsg_OMPair @
% 0.57/0.82 ( c_Message_Omsg_ONonce @ v_NA ) @
% 0.57/0.82 ( c_Message_Omsg_OMPair @
% 0.57/0.82 ( c_Message_Omsg_OAgent @ v_A ) @
% 0.57/0.82 ( c_Message_Omsg_OAgent @ v_Ba ) ) ) ) @
% 0.57/0.82 ( c_Message_Omsg_OCrypt @
% 0.57/0.82 ( c_Public_OshrK @ v_Ba ) @
% 0.57/0.82 ( c_Message_Omsg_OMPair @
% 0.57/0.82 ( c_Message_Omsg_ONonce @ v_NA ) @
% 0.57/0.82 ( c_Message_Omsg_OMPair @
% 0.57/0.82 ( c_Message_Omsg_ONonce @ v_NB ) @
% 0.57/0.82 ( c_Message_Omsg_OMPair @
% 0.57/0.82 ( c_Message_Omsg_OAgent @ v_A ) @
% 0.57/0.82 ( c_Message_Omsg_OAgent @ v_Ba ) ) ) ) ) ) ) ) ) ) @
% 0.57/0.82 ( c_List_Oset @ v_evs3 @ tc_Event_Oevent ) @ tc_Event_Oevent),
% 0.57/0.82 inference('cnf.neg', [status(esa)], [cls_conjecture_4])).
% 0.57/0.82 thf(zip_derived_cl3, plain,
% 0.57/0.82 ( (c_in @
% 0.57/0.82 (c_Event_Oevent_OSays @ v_Aa @ c_Message_Oagent_OServer @
% 0.57/0.82 (c_Message_Omsg_OMPair @ (c_Message_Omsg_ONonce @ v_NA) @
% 0.57/0.82 (c_Message_Omsg_OMPair @ (c_Message_Omsg_OAgent @ v_A) @
% 0.57/0.82 (c_Message_Omsg_OMPair @ (c_Message_Omsg_OAgent @ v_Ba) @
% 0.57/0.82 (c_Message_Omsg_OMPair @
% 0.57/0.82 (c_Message_Omsg_OCrypt @ (c_Public_OshrK @ v_A) @
% 0.57/0.82 (c_Message_Omsg_OMPair @ (c_Message_Omsg_ONonce @ v_NA) @
% 0.57/0.82 (c_Message_Omsg_OMPair @ (c_Message_Omsg_OAgent @ v_A) @
% 0.57/0.82 (c_Message_Omsg_OAgent @ v_Ba)))) @
% 0.57/0.82 (c_Message_Omsg_OCrypt @ (c_Public_OshrK @ v_Ba) @
% 0.57/0.82 (c_Message_Omsg_OMPair @ (c_Message_Omsg_ONonce @ v_NA) @
% 0.57/0.82 (c_Message_Omsg_OMPair @ (c_Message_Omsg_ONonce @ v_NB) @
% 0.57/0.82 (c_Message_Omsg_OMPair @ (c_Message_Omsg_OAgent @ v_A) @
% 0.57/0.82 (c_Message_Omsg_OAgent @ v_Ba)))))))))) @
% 0.57/0.82 (c_List_Oset @ v_evs3 @ tc_Event_Oevent) @ tc_Event_Oevent)),
% 0.57/0.82 inference('cnf', [status(esa)], [zf_stmt_1])).
% 0.57/0.82 thf(zip_derived_cl46, plain,
% 0.57/0.82 ( (c_in @
% 0.57/0.82 (c_Message_Omsg_OMPair @ (c_Message_Omsg_ONonce @ v_NA) @
% 0.57/0.82 (c_Message_Omsg_OMPair @ (c_Message_Omsg_OAgent @ v_A) @
% 0.57/0.82 (c_Message_Omsg_OMPair @ (c_Message_Omsg_OAgent @ v_Ba) @
% 0.57/0.82 (c_Message_Omsg_OMPair @
% 0.57/0.82 (c_Message_Omsg_OCrypt @ (c_Public_OshrK @ v_A) @
% 0.57/0.82 (c_Message_Omsg_OMPair @ (c_Message_Omsg_ONonce @ v_NA) @
% 0.57/0.82 (c_Message_Omsg_OMPair @ (c_Message_Omsg_OAgent @ v_A) @
% 0.57/0.82 (c_Message_Omsg_OAgent @ v_Ba)))) @
% 0.57/0.82 (c_Message_Omsg_OCrypt @ (c_Public_OshrK @ v_Ba) @
% 0.57/0.82 (c_Message_Omsg_OMPair @ (c_Message_Omsg_ONonce @ v_NA) @
% 0.57/0.82 (c_Message_Omsg_OMPair @ (c_Message_Omsg_ONonce @ v_NB) @
% 0.57/0.82 (c_Message_Omsg_OMPair @ (c_Message_Omsg_OAgent @ v_A) @
% 0.57/0.82 (c_Message_Omsg_OAgent @ v_Ba))))))))) @
% 0.57/0.82 (c_Message_Oanalz @ (c_Event_Oknows @ c_Message_Oagent_OSpy @ v_evs3)) @
% 0.57/0.82 tc_Message_Omsg)),
% 0.57/0.82 inference('sup+', [status(thm)], [zip_derived_cl5, zip_derived_cl3])).
% 0.57/0.82 thf(zip_derived_cl7, plain,
% 0.57/0.82 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.57/0.82 (~ (c_in @ (c_Message_Omsg_OMPair @ X0 @ X1) @
% 0.57/0.82 (c_Message_Oanalz @ X2) @ tc_Message_Omsg)
% 0.57/0.82 | (c_in @ X1 @ (c_Message_Oanalz @ X2) @ tc_Message_Omsg))),
% 0.57/0.82 inference('cnf', [status(esa)], [cls_Message_OMPair__analz_0])).
% 0.57/0.82 thf(zip_derived_cl63, plain,
% 0.57/0.82 ( (c_in @
% 0.57/0.82 (c_Message_Omsg_OMPair @ (c_Message_Omsg_OAgent @ v_A) @
% 0.57/0.82 (c_Message_Omsg_OMPair @ (c_Message_Omsg_OAgent @ v_Ba) @
% 0.57/0.82 (c_Message_Omsg_OMPair @
% 0.57/0.82 (c_Message_Omsg_OCrypt @ (c_Public_OshrK @ v_A) @
% 0.57/0.82 (c_Message_Omsg_OMPair @ (c_Message_Omsg_ONonce @ v_NA) @
% 0.57/0.82 (c_Message_Omsg_OMPair @ (c_Message_Omsg_OAgent @ v_A) @
% 0.57/0.82 (c_Message_Omsg_OAgent @ v_Ba)))) @
% 0.57/0.82 (c_Message_Omsg_OCrypt @ (c_Public_OshrK @ v_Ba) @
% 0.57/0.82 (c_Message_Omsg_OMPair @ (c_Message_Omsg_ONonce @ v_NA) @
% 0.57/0.82 (c_Message_Omsg_OMPair @ (c_Message_Omsg_ONonce @ v_NB) @
% 0.57/0.82 (c_Message_Omsg_OMPair @ (c_Message_Omsg_OAgent @ v_A) @
% 0.57/0.82 (c_Message_Omsg_OAgent @ v_Ba)))))))) @
% 0.57/0.82 (c_Message_Oanalz @ (c_Event_Oknows @ c_Message_Oagent_OSpy @ v_evs3)) @
% 0.57/0.82 tc_Message_Omsg)),
% 0.57/0.82 inference('sup-', [status(thm)], [zip_derived_cl46, zip_derived_cl7])).
% 0.57/0.82 thf(zip_derived_cl7, plain,
% 0.57/0.82 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.57/0.82 (~ (c_in @ (c_Message_Omsg_OMPair @ X0 @ X1) @
% 0.57/0.82 (c_Message_Oanalz @ X2) @ tc_Message_Omsg)
% 0.57/0.82 | (c_in @ X1 @ (c_Message_Oanalz @ X2) @ tc_Message_Omsg))),
% 0.57/0.82 inference('cnf', [status(esa)], [cls_Message_OMPair__analz_0])).
% 0.57/0.82 thf(zip_derived_cl67, plain,
% 0.57/0.82 ( (c_in @
% 0.57/0.82 (c_Message_Omsg_OMPair @ (c_Message_Omsg_OAgent @ v_Ba) @
% 0.57/0.82 (c_Message_Omsg_OMPair @
% 0.57/0.82 (c_Message_Omsg_OCrypt @ (c_Public_OshrK @ v_A) @
% 0.57/0.82 (c_Message_Omsg_OMPair @ (c_Message_Omsg_ONonce @ v_NA) @
% 0.57/0.82 (c_Message_Omsg_OMPair @ (c_Message_Omsg_OAgent @ v_A) @
% 0.57/0.82 (c_Message_Omsg_OAgent @ v_Ba)))) @
% 0.57/0.82 (c_Message_Omsg_OCrypt @ (c_Public_OshrK @ v_Ba) @
% 0.57/0.82 (c_Message_Omsg_OMPair @ (c_Message_Omsg_ONonce @ v_NA) @
% 0.57/0.82 (c_Message_Omsg_OMPair @ (c_Message_Omsg_ONonce @ v_NB) @
% 0.57/0.83 (c_Message_Omsg_OMPair @ (c_Message_Omsg_OAgent @ v_A) @
% 0.57/0.83 (c_Message_Omsg_OAgent @ v_Ba))))))) @
% 0.57/0.83 (c_Message_Oanalz @ (c_Event_Oknows @ c_Message_Oagent_OSpy @ v_evs3)) @
% 0.57/0.83 tc_Message_Omsg)),
% 0.57/0.83 inference('sup-', [status(thm)], [zip_derived_cl63, zip_derived_cl7])).
% 0.57/0.83 thf(zip_derived_cl7, plain,
% 0.57/0.83 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.57/0.83 (~ (c_in @ (c_Message_Omsg_OMPair @ X0 @ X1) @
% 0.57/0.83 (c_Message_Oanalz @ X2) @ tc_Message_Omsg)
% 0.57/0.83 | (c_in @ X1 @ (c_Message_Oanalz @ X2) @ tc_Message_Omsg))),
% 0.57/0.83 inference('cnf', [status(esa)], [cls_Message_OMPair__analz_0])).
% 0.57/0.83 thf(zip_derived_cl71, plain,
% 0.57/0.83 ( (c_in @
% 0.57/0.83 (c_Message_Omsg_OMPair @
% 0.57/0.83 (c_Message_Omsg_OCrypt @ (c_Public_OshrK @ v_A) @
% 0.57/0.83 (c_Message_Omsg_OMPair @ (c_Message_Omsg_ONonce @ v_NA) @
% 0.57/0.83 (c_Message_Omsg_OMPair @ (c_Message_Omsg_OAgent @ v_A) @
% 0.57/0.83 (c_Message_Omsg_OAgent @ v_Ba)))) @
% 0.57/0.83 (c_Message_Omsg_OCrypt @ (c_Public_OshrK @ v_Ba) @
% 0.57/0.83 (c_Message_Omsg_OMPair @ (c_Message_Omsg_ONonce @ v_NA) @
% 0.57/0.83 (c_Message_Omsg_OMPair @ (c_Message_Omsg_ONonce @ v_NB) @
% 0.57/0.83 (c_Message_Omsg_OMPair @ (c_Message_Omsg_OAgent @ v_A) @
% 0.57/0.83 (c_Message_Omsg_OAgent @ v_Ba)))))) @
% 0.57/0.83 (c_Message_Oanalz @ (c_Event_Oknows @ c_Message_Oagent_OSpy @ v_evs3)) @
% 0.57/0.83 tc_Message_Omsg)),
% 0.57/0.83 inference('sup-', [status(thm)], [zip_derived_cl67, zip_derived_cl7])).
% 0.57/0.83 thf(cls_Message_OMPair__parts_1, axiom,
% 0.57/0.83 (( ~( c_in @
% 0.57/0.83 ( c_Message_Omsg_OMPair @ V_X @ V_Y ) @ ( c_Message_Oparts @ V_H ) @
% 0.57/0.83 tc_Message_Omsg ) ) |
% 0.57/0.83 ( c_in @ V_X @ ( c_Message_Oparts @ V_H ) @ tc_Message_Omsg ))).
% 0.57/0.83 thf(zip_derived_cl8, plain,
% 0.57/0.83 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.57/0.83 (~ (c_in @ (c_Message_Omsg_OMPair @ X0 @ X1) @
% 0.57/0.83 (c_Message_Oparts @ X2) @ tc_Message_Omsg)
% 0.57/0.83 | (c_in @ X0 @ (c_Message_Oparts @ X2) @ tc_Message_Omsg))),
% 0.57/0.83 inference('cnf', [status(esa)], [cls_Message_OMPair__parts_1])).
% 0.57/0.83 thf(cls_Message_Oanalz__into__parts__dest_0, axiom,
% 0.57/0.83 (( ~( c_in @ V_c @ ( c_Message_Oanalz @ V_H ) @ tc_Message_Omsg ) ) |
% 0.57/0.83 ( c_in @ V_c @ ( c_Message_Oparts @ V_H ) @ tc_Message_Omsg ))).
% 0.57/0.83 thf(zip_derived_cl6, plain,
% 0.57/0.83 (![X0 : $i, X1 : $i]:
% 0.57/0.83 (~ (c_in @ X0 @ (c_Message_Oanalz @ X1) @ tc_Message_Omsg)
% 0.57/0.83 | (c_in @ X0 @ (c_Message_Oparts @ X1) @ tc_Message_Omsg))),
% 0.57/0.83 inference('cnf', [status(esa)], [cls_Message_Oanalz__into__parts__dest_0])).
% 0.57/0.83 thf(zip_derived_cl43, plain,
% 0.57/0.83 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.57/0.83 ( (c_in @ X2 @ (c_Message_Oparts @ X0) @ tc_Message_Omsg)
% 0.57/0.83 | ~ (c_in @ (c_Message_Omsg_OMPair @ X2 @ X1) @
% 0.57/0.83 (c_Message_Oanalz @ X0) @ tc_Message_Omsg))),
% 0.57/0.83 inference('sup+', [status(thm)], [zip_derived_cl8, zip_derived_cl6])).
% 0.57/0.83 thf(zip_derived_cl76, plain,
% 0.57/0.83 ( (c_in @
% 0.57/0.83 (c_Message_Omsg_OCrypt @ (c_Public_OshrK @ v_A) @
% 0.57/0.83 (c_Message_Omsg_OMPair @ (c_Message_Omsg_ONonce @ v_NA) @
% 0.57/0.83 (c_Message_Omsg_OMPair @ (c_Message_Omsg_OAgent @ v_A) @
% 0.57/0.83 (c_Message_Omsg_OAgent @ v_Ba)))) @
% 0.57/0.83 (c_Message_Oparts @ (c_Event_Oknows @ c_Message_Oagent_OSpy @ v_evs3)) @
% 0.57/0.83 tc_Message_Omsg)),
% 0.57/0.83 inference('sup-', [status(thm)], [zip_derived_cl71, zip_derived_cl43])).
% 0.57/0.83 thf(cls_OtwayRees_Ounique__NA__dest_0, axiom,
% 0.57/0.83 (( ~( c_in @
% 0.57/0.83 V_evs @ c_OtwayRees_Ootway @ ( tc_List_Olist @ tc_Event_Oevent ) ) ) |
% 0.57/0.83 ( ~( c_in @
% 0.57/0.83 ( c_Message_Omsg_OCrypt @
% 0.57/0.83 ( c_Public_OshrK @ V_A ) @
% 0.57/0.83 ( c_Message_Omsg_OMPair @
% 0.57/0.83 V_NA @
% 0.57/0.83 ( c_Message_Omsg_OMPair @
% 0.57/0.83 ( c_Message_Omsg_OAgent @ V_A ) @
% 0.57/0.83 ( c_Message_Omsg_OAgent @ V_C ) ) ) ) @
% 0.57/0.83 ( c_Message_Oparts @
% 0.57/0.83 ( c_Event_Oknows @ c_Message_Oagent_OSpy @ V_evs ) ) @
% 0.57/0.83 tc_Message_Omsg ) ) |
% 0.57/0.83 ( ~( c_in @
% 0.57/0.83 ( c_Message_Omsg_OCrypt @
% 0.57/0.83 ( c_Public_OshrK @ V_A ) @
% 0.57/0.83 ( c_Message_Omsg_OMPair @
% 0.57/0.83 V_NA @
% 0.57/0.83 ( c_Message_Omsg_OMPair @
% 0.57/0.83 ( c_Message_Omsg_OAgent @ V_A ) @
% 0.57/0.83 ( c_Message_Omsg_OAgent @ V_B ) ) ) ) @
% 0.57/0.83 ( c_Message_Oparts @
% 0.57/0.83 ( c_Event_Oknows @ c_Message_Oagent_OSpy @ V_evs ) ) @
% 0.57/0.83 tc_Message_Omsg ) ) |
% 0.57/0.83 ( c_in @ V_A @ c_Event_Obad @ tc_Message_Oagent ) | ( ( V_B ) = ( V_C ) ))).
% 0.57/0.83 thf(zip_derived_cl9, plain,
% 0.57/0.83 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 0.57/0.83 (~ (c_in @ X0 @ c_OtwayRees_Ootway @ (tc_List_Olist @ tc_Event_Oevent))
% 0.57/0.83 | ~ (c_in @
% 0.57/0.83 (c_Message_Omsg_OCrypt @ (c_Public_OshrK @ X1) @
% 0.57/0.83 (c_Message_Omsg_OMPair @ X2 @
% 0.57/0.83 (c_Message_Omsg_OMPair @ (c_Message_Omsg_OAgent @ X1) @
% 0.57/0.83 (c_Message_Omsg_OAgent @ X3)))) @
% 0.57/0.83 (c_Message_Oparts @
% 0.57/0.83 (c_Event_Oknows @ c_Message_Oagent_OSpy @ X0)) @
% 0.57/0.83 tc_Message_Omsg)
% 0.57/0.83 | ~ (c_in @
% 0.57/0.83 (c_Message_Omsg_OCrypt @ (c_Public_OshrK @ X1) @
% 0.57/0.83 (c_Message_Omsg_OMPair @ X2 @
% 0.57/0.83 (c_Message_Omsg_OMPair @ (c_Message_Omsg_OAgent @ X1) @
% 0.57/0.83 (c_Message_Omsg_OAgent @ X4)))) @
% 0.57/0.83 (c_Message_Oparts @
% 0.57/0.83 (c_Event_Oknows @ c_Message_Oagent_OSpy @ X0)) @
% 0.57/0.83 tc_Message_Omsg)
% 0.57/0.83 | (c_in @ X1 @ c_Event_Obad @ tc_Message_Oagent)
% 0.57/0.83 | ((X4) = (X3)))),
% 0.57/0.83 inference('cnf', [status(esa)], [cls_OtwayRees_Ounique__NA__dest_0])).
% 0.57/0.83 thf(zip_derived_cl79, plain,
% 0.57/0.83 (![X0 : $i]:
% 0.57/0.83 (((X0) = (v_Ba))
% 0.57/0.83 | (c_in @ v_A @ c_Event_Obad @ tc_Message_Oagent)
% 0.57/0.83 | ~ (c_in @
% 0.57/0.83 (c_Message_Omsg_OCrypt @ (c_Public_OshrK @ v_A) @
% 0.57/0.83 (c_Message_Omsg_OMPair @ (c_Message_Omsg_ONonce @ v_NA) @
% 0.57/0.83 (c_Message_Omsg_OMPair @ (c_Message_Omsg_OAgent @ v_A) @
% 0.57/0.83 (c_Message_Omsg_OAgent @ X0)))) @
% 0.57/0.83 (c_Message_Oparts @
% 0.57/0.83 (c_Event_Oknows @ c_Message_Oagent_OSpy @ v_evs3)) @
% 0.57/0.83 tc_Message_Omsg)
% 0.57/0.83 | ~ (c_in @ v_evs3 @ c_OtwayRees_Ootway @
% 0.57/0.83 (tc_List_Olist @ tc_Event_Oevent)))),
% 0.57/0.83 inference('sup-', [status(thm)], [zip_derived_cl76, zip_derived_cl9])).
% 0.57/0.83 thf(cls_conjecture_0, conjecture,
% 0.57/0.83 (c_in @ v_A @ c_Event_Obad @ tc_Message_Oagent)).
% 0.57/0.83 thf(zf_stmt_2, negated_conjecture,
% 0.57/0.83 (~( c_in @ v_A @ c_Event_Obad @ tc_Message_Oagent )),
% 0.57/0.83 inference('cnf.neg', [status(esa)], [cls_conjecture_0])).
% 0.57/0.83 thf(zip_derived_cl0, plain,
% 0.57/0.83 (~ (c_in @ v_A @ c_Event_Obad @ tc_Message_Oagent)),
% 0.57/0.83 inference('cnf', [status(esa)], [zf_stmt_2])).
% 0.57/0.83 thf(cls_conjecture_1, conjecture,
% 0.57/0.83 (~( c_in @
% 0.57/0.83 v_evs3 @ c_OtwayRees_Ootway @ ( tc_List_Olist @ tc_Event_Oevent ) ))).
% 0.57/0.83 thf(zf_stmt_3, negated_conjecture,
% 0.57/0.83 (c_in @ v_evs3 @ c_OtwayRees_Ootway @ ( tc_List_Olist @ tc_Event_Oevent )),
% 0.57/0.83 inference('cnf.neg', [status(esa)], [cls_conjecture_1])).
% 0.57/0.83 thf(zip_derived_cl1, plain,
% 0.57/0.83 ( (c_in @ v_evs3 @ c_OtwayRees_Ootway @ (tc_List_Olist @ tc_Event_Oevent))),
% 0.57/0.83 inference('cnf', [status(esa)], [zf_stmt_3])).
% 0.57/0.83 thf(zip_derived_cl80, plain,
% 0.57/0.83 (![X0 : $i]:
% 0.57/0.83 (((X0) = (v_Ba))
% 0.57/0.83 | ~ (c_in @
% 0.57/0.83 (c_Message_Omsg_OCrypt @ (c_Public_OshrK @ v_A) @
% 0.57/0.83 (c_Message_Omsg_OMPair @ (c_Message_Omsg_ONonce @ v_NA) @
% 0.57/0.83 (c_Message_Omsg_OMPair @ (c_Message_Omsg_OAgent @ v_A) @
% 0.57/0.83 (c_Message_Omsg_OAgent @ X0)))) @
% 0.57/0.83 (c_Message_Oparts @
% 0.57/0.83 (c_Event_Oknows @ c_Message_Oagent_OSpy @ v_evs3)) @
% 0.57/0.83 tc_Message_Omsg))),
% 0.57/0.83 inference('demod', [status(thm)],
% 0.57/0.83 [zip_derived_cl79, zip_derived_cl0, zip_derived_cl1])).
% 0.57/0.83 thf(zip_derived_cl6, plain,
% 0.57/0.83 (![X0 : $i, X1 : $i]:
% 0.57/0.83 (~ (c_in @ X0 @ (c_Message_Oanalz @ X1) @ tc_Message_Omsg)
% 0.57/0.83 | (c_in @ X0 @ (c_Message_Oparts @ X1) @ tc_Message_Omsg))),
% 0.57/0.83 inference('cnf', [status(esa)], [cls_Message_Oanalz__into__parts__dest_0])).
% 0.57/0.83 thf(zip_derived_cl81, plain,
% 0.57/0.83 (![X0 : $i]:
% 0.57/0.83 (((X0) = (v_Ba))
% 0.57/0.83 | ~ (c_in @
% 0.57/0.83 (c_Message_Omsg_OCrypt @ (c_Public_OshrK @ v_A) @
% 0.57/0.83 (c_Message_Omsg_OMPair @ (c_Message_Omsg_ONonce @ v_NA) @
% 0.57/0.83 (c_Message_Omsg_OMPair @ (c_Message_Omsg_OAgent @ v_A) @
% 0.57/0.83 (c_Message_Omsg_OAgent @ X0)))) @
% 0.57/0.83 (c_Message_Oanalz @
% 0.57/0.83 (c_Event_Oknows @ c_Message_Oagent_OSpy @ v_evs3)) @
% 0.57/0.83 tc_Message_Omsg))),
% 0.57/0.83 inference('sup+', [status(thm)], [zip_derived_cl80, zip_derived_cl6])).
% 0.57/0.83 thf(zip_derived_cl86, plain, (((v_B) = (v_Ba))),
% 0.57/0.83 inference('sup-', [status(thm)], [zip_derived_cl55, zip_derived_cl81])).
% 0.57/0.83 thf(cls_conjecture_7, conjecture,
% 0.57/0.83 (~( ( ( v_B ) != ( v_Ba ) ) |
% 0.57/0.83 ( ( V_U ) != ( c_Message_Omsg_ONonce @ v_NB ) ) ))).
% 0.57/0.83 thf(zf_stmt_4, negated_conjecture,
% 0.57/0.83 (( ( v_B ) != ( v_Ba ) ) | ( ( V_U ) != ( c_Message_Omsg_ONonce @ v_NB ) )),
% 0.57/0.83 inference('cnf.neg', [status(esa)], [cls_conjecture_7])).
% 0.57/0.83 thf(zip_derived_cl4, plain,
% 0.57/0.83 (![X0 : $i]:
% 0.57/0.83 (((v_B) != (v_Ba)) | ((X0) != (c_Message_Omsg_ONonce @ v_NB)))),
% 0.57/0.83 inference('cnf', [status(esa)], [zf_stmt_4])).
% 0.57/0.83 thf(zip_derived_cl42, plain, (((v_B) != (v_Ba))),
% 0.57/0.83 inference('eq_res', [status(thm)], [zip_derived_cl4])).
% 0.57/0.83 thf(zip_derived_cl87, plain, ($false),
% 0.57/0.83 inference('simplify_reflect-', [status(thm)],
% 0.57/0.83 [zip_derived_cl86, zip_derived_cl42])).
% 0.57/0.83
% 0.57/0.83 % SZS output end Refutation
% 0.57/0.83
% 0.57/0.83
% 0.57/0.83 % Terminating...
% 0.60/0.86 % Runner terminated.
% 1.91/0.88 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------