%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SWV732-1 : TPTP v9.2.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.njXIEIfhsl 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 05:01:53 PM UTC 2025
% Result : Unsatisfiable 81.25s 12.18s
% Output : Refutation 81.25s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.09 % Problem : SWV732-1 : TPTP v9.2.0. Released v4.1.0.
% 0.04/0.10 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.njXIEIfhsl true
% 0.09/0.30 % Computer : n004.cluster.edu
% 0.09/0.30 % Model : x86_64 x86_64
% 0.09/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.30 % Memory : 8042.1875MB
% 0.09/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.30 % CPULimit : 300
% 0.09/0.30 % WCLimit : 300
% 0.09/0.30 % DateTime : Wed Oct 1 12:25:53 EDT 2025
% 0.09/0.30 % CPUTime :
% 0.09/0.30 % Running portfolio for 300 s
% 0.09/0.30 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.30 % Number of cores: 8
% 0.09/0.30 % Python version: Python 3.6.8
% 0.09/0.30 % Running in FO mode
% 0.44/0.57 % Total configuration time : 435
% 0.44/0.57 % Estimated wc time : 1092
% 0.44/0.57 % Estimated cpu time (7 cpus) : 156.0
% 0.45/0.65 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.45/0.65 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.45/0.66 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.45/0.66 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.46/0.66 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.46/0.66 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.46/0.66 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 81.25/12.18 % Solved by fo/fo3_bce.sh.
% 81.25/12.18 % BCE start: 620
% 81.25/12.18 % BCE eliminated: 1
% 81.25/12.18 % PE start: 619
% 81.25/12.18 logic: eq
% 81.25/12.18 % PE eliminated: 0
% 81.25/12.18 % done 2632 iterations in 11.504s
% 81.25/12.18 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 81.25/12.18 % SZS output start Refutation
% 81.25/12.18 thf(tc_List_Olist_type, type, tc_List_Olist: $i > $i).
% 81.25/12.18 thf(tc_bool_type, type, tc_bool: $i).
% 81.25/12.18 thf(tc_fun_type, type, tc_fun: $i > $i > $i).
% 81.25/12.18 thf(v_B_type, type, v_B: $i).
% 81.25/12.18 thf(c_Set_Oimage_type, type, c_Set_Oimage: $i > $i > $i > $i > $i).
% 81.25/12.18 thf(v_K_type, type, v_K: $i).
% 81.25/12.18 thf(c_Orderings_Otop__class_Otop_type, type, c_Orderings_Otop__class_Otop:
% 81.25/12.18 $i > $i).
% 81.25/12.18 thf(c_Message_Omsg_OKey_type, type, c_Message_Omsg_OKey: $i).
% 81.25/12.18 thf(c_Message_Omsg_OCrypt_type, type, c_Message_Omsg_OCrypt: $i > $i > $i).
% 81.25/12.18 thf(c_Event_Oevent_OSays_type, type, c_Event_Oevent_OSays: $i > $i > $i > $i).
% 81.25/12.18 thf(tc_nat_type, type, tc_nat: $i).
% 81.25/12.18 thf(v_NA_type, type, v_NA: $i).
% 81.25/12.18 thf(c_Message_Oparts_type, type, c_Message_Oparts: $i > $i).
% 81.25/12.18 thf(tc_Message_Omsg_type, type, tc_Message_Omsg: $i).
% 81.25/12.18 thf(c_Event_Oknows_type, type, c_Event_Oknows: $i > $i > $i).
% 81.25/12.18 thf(v_evs_type, type, v_evs: $i).
% 81.25/12.18 thf(c_Public_OshrK_type, type, c_Public_OshrK: $i).
% 81.25/12.18 thf(c_Message_Omsg_OMPair_type, type, c_Message_Omsg_OMPair: $i > $i > $i).
% 81.25/12.18 thf(hBOOL_type, type, hBOOL: $i > $o).
% 81.25/12.18 thf(v_X_type, type, v_X: $i).
% 81.25/12.18 thf(c_Message_Oanalz_type, type, c_Message_Oanalz: $i > $i).
% 81.25/12.18 thf(c_Message_Oagent_OSpy_type, type, c_Message_Oagent_OSpy: $i).
% 81.25/12.18 thf(v_A_type, type, v_A: $i).
% 81.25/12.18 thf(c_in_type, type, c_in: $i > $i > $i > $i).
% 81.25/12.18 thf(tc_Event_Oevent_type, type, tc_Event_Oevent: $i).
% 81.25/12.18 thf(v_S_type, type, v_S: $i).
% 81.25/12.18 thf(c_Event_Obad_type, type, c_Event_Obad: $i).
% 81.25/12.18 thf(c_Message_Omsg_ONonce_type, type, c_Message_Omsg_ONonce: $i > $i).
% 81.25/12.18 thf(c_NS__Shared__Mirabelle_Ons__shared_type, type, c_NS__Shared__Mirabelle_Ons__shared:
% 81.25/12.18 $i).
% 81.25/12.18 thf(c_List_Oset_type, type, c_List_Oset: $i > $i > $i).
% 81.25/12.18 thf(tc_Message_Oagent_type, type, tc_Message_Oagent: $i).
% 81.25/12.18 thf(hAPP_type, type, hAPP: $i > $i > $i).
% 81.25/12.18 thf(c_Message_Omsg_OAgent_type, type, c_Message_Omsg_OAgent: $i > $i).
% 81.25/12.18 thf(cls_Says__imp__parts__knows__Spy_0, axiom,
% 81.25/12.18 (( hBOOL @
% 81.25/12.18 ( c_in @
% 81.25/12.18 V_X @
% 81.25/12.18 ( c_Message_Oparts @
% 81.25/12.18 ( c_Event_Oknows @ c_Message_Oagent_OSpy @ V_evs ) ) @
% 81.25/12.18 tc_Message_Omsg ) ) |
% 81.25/12.18 ( ~( hBOOL @
% 81.25/12.18 ( c_in @
% 81.25/12.18 ( c_Event_Oevent_OSays @ V_A @ V_B @ V_X ) @
% 81.25/12.18 ( c_List_Oset @ V_evs @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) ))).
% 81.25/12.18 thf(zip_derived_cl547, plain,
% 81.25/12.18 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 81.25/12.18 ( (hBOOL @
% 81.25/12.18 (c_in @ X0 @
% 81.25/12.18 (c_Message_Oparts @ (c_Event_Oknows @ c_Message_Oagent_OSpy @ X1)) @
% 81.25/12.18 tc_Message_Omsg))
% 81.25/12.18 | ~ (hBOOL @
% 81.25/12.18 (c_in @ (c_Event_Oevent_OSays @ X2 @ X3 @ X0) @
% 81.25/12.18 (c_List_Oset @ X1 @ tc_Event_Oevent) @ tc_Event_Oevent)))),
% 81.25/12.18 inference('cnf', [status(esa)], [cls_Says__imp__parts__knows__Spy_0])).
% 81.25/12.18 thf(cls_conjecture_0, conjecture,
% 81.25/12.18 (~( hBOOL @
% 81.25/12.18 ( c_in @
% 81.25/12.18 ( c_Event_Oevent_OSays @
% 81.25/12.18 v_S @ v_A @
% 81.25/12.18 ( c_Message_Omsg_OCrypt @
% 81.25/12.18 ( hAPP @ c_Public_OshrK @ v_A ) @
% 81.25/12.18 ( c_Message_Omsg_OMPair @
% 81.25/12.18 ( c_Message_Omsg_ONonce @ v_NA ) @
% 81.25/12.18 ( c_Message_Omsg_OMPair @
% 81.25/12.18 ( c_Message_Omsg_OAgent @ v_B ) @
% 81.25/12.18 ( c_Message_Omsg_OMPair @
% 81.25/12.18 ( hAPP @ c_Message_Omsg_OKey @ v_K ) @ v_X ) ) ) ) ) @
% 81.25/12.18 ( c_List_Oset @ v_evs @ tc_Event_Oevent ) @ tc_Event_Oevent ) ))).
% 81.25/12.18 thf(zf_stmt_0, negated_conjecture,
% 81.25/12.18 (hBOOL @
% 81.25/12.18 ( c_in @
% 81.25/12.18 ( c_Event_Oevent_OSays @
% 81.25/12.18 v_S @ v_A @
% 81.25/12.18 ( c_Message_Omsg_OCrypt @
% 81.25/12.18 ( hAPP @ c_Public_OshrK @ v_A ) @
% 81.25/12.18 ( c_Message_Omsg_OMPair @
% 81.25/12.18 ( c_Message_Omsg_ONonce @ v_NA ) @
% 81.25/12.18 ( c_Message_Omsg_OMPair @
% 81.25/12.18 ( c_Message_Omsg_OAgent @ v_B ) @
% 81.25/12.18 ( c_Message_Omsg_OMPair @
% 81.25/12.18 ( hAPP @ c_Message_Omsg_OKey @ v_K ) @ v_X ) ) ) ) ) @
% 81.25/12.18 ( c_List_Oset @ v_evs @ tc_Event_Oevent ) @ tc_Event_Oevent )),
% 81.25/12.18 inference('cnf.neg', [status(esa)], [cls_conjecture_0])).
% 81.25/12.18 thf(zip_derived_cl619, plain,
% 81.25/12.18 ( (hBOOL @
% 81.25/12.18 (c_in @
% 81.25/12.18 (c_Event_Oevent_OSays @ v_S @ v_A @
% 81.25/12.18 (c_Message_Omsg_OCrypt @ (hAPP @ c_Public_OshrK @ v_A) @
% 81.25/12.18 (c_Message_Omsg_OMPair @ (c_Message_Omsg_ONonce @ v_NA) @
% 81.25/12.18 (c_Message_Omsg_OMPair @ (c_Message_Omsg_OAgent @ v_B) @
% 81.25/12.18 (c_Message_Omsg_OMPair @ (hAPP @ c_Message_Omsg_OKey @ v_K) @ v_X))))) @
% 81.25/12.18 (c_List_Oset @ v_evs @ tc_Event_Oevent) @ tc_Event_Oevent))),
% 81.25/12.18 inference('cnf', [status(esa)], [zf_stmt_0])).
% 81.25/12.18 thf(zip_derived_cl9425, plain,
% 81.25/12.18 ( (hBOOL @
% 81.25/12.18 (c_in @
% 81.25/12.18 (c_Message_Omsg_OCrypt @ (hAPP @ c_Public_OshrK @ v_A) @
% 81.25/12.18 (c_Message_Omsg_OMPair @ (c_Message_Omsg_ONonce @ v_NA) @
% 81.25/12.18 (c_Message_Omsg_OMPair @ (c_Message_Omsg_OAgent @ v_B) @
% 81.25/12.18 (c_Message_Omsg_OMPair @ (hAPP @ c_Message_Omsg_OKey @ v_K) @ v_X)))) @
% 81.25/12.18 (c_Message_Oparts @ (c_Event_Oknows @ c_Message_Oagent_OSpy @ v_evs)) @
% 81.25/12.18 tc_Message_Omsg))),
% 81.25/12.18 inference('sup+', [status(thm)], [zip_derived_cl547, zip_derived_cl619])).
% 81.25/12.18 thf(cls_cert__A__form_0, axiom,
% 81.25/12.18 (( ~( hBOOL @
% 81.25/12.18 ( c_in @
% 81.25/12.18 V_K @
% 81.25/12.18 ( c_Set_Oimage @
% 81.25/12.18 c_Public_OshrK @
% 81.25/12.18 ( c_Orderings_Otop__class_Otop @
% 81.25/12.18 ( tc_fun @ tc_Message_Oagent @ tc_bool ) ) @
% 81.25/12.18 tc_Message_Oagent @ tc_nat ) @
% 81.25/12.18 tc_nat ) ) ) |
% 81.25/12.18 ( ~( hBOOL @
% 81.25/12.18 ( c_in @
% 81.25/12.18 V_evs @ c_NS__Shared__Mirabelle_Ons__shared @
% 81.25/12.18 ( tc_List_Olist @ tc_Event_Oevent ) ) ) ) |
% 81.25/12.18 ( hBOOL @ ( c_in @ V_A @ c_Event_Obad @ tc_Message_Oagent ) ) |
% 81.25/12.18 ( ~( hBOOL @
% 81.25/12.18 ( c_in @
% 81.25/12.18 ( c_Message_Omsg_OCrypt @
% 81.25/12.18 ( hAPP @ c_Public_OshrK @ V_A ) @
% 81.25/12.18 ( c_Message_Omsg_OMPair @
% 81.25/12.18 V_NA @
% 81.25/12.18 ( c_Message_Omsg_OMPair @
% 81.25/12.18 ( c_Message_Omsg_OAgent @ V_B ) @
% 81.25/12.18 ( c_Message_Omsg_OMPair @
% 81.25/12.18 ( hAPP @ c_Message_Omsg_OKey @ V_K ) @ V_X ) ) ) ) @
% 81.25/12.18 ( c_Message_Oparts @
% 81.25/12.18 ( c_Event_Oknows @ c_Message_Oagent_OSpy @ V_evs ) ) @
% 81.25/12.18 tc_Message_Omsg ) ) ))).
% 81.25/12.18 thf(zip_derived_cl540, plain,
% 81.25/12.18 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 81.25/12.18 (~ (hBOOL @
% 81.25/12.18 (c_in @ X0 @
% 81.25/12.18 (c_Set_Oimage @ c_Public_OshrK @
% 81.25/12.18 (c_Orderings_Otop__class_Otop @
% 81.25/12.18 (tc_fun @ tc_Message_Oagent @ tc_bool)) @
% 81.25/12.18 tc_Message_Oagent @ tc_nat) @
% 81.25/12.18 tc_nat))
% 81.25/12.18 | ~ (hBOOL @
% 81.25/12.18 (c_in @ X1 @ c_NS__Shared__Mirabelle_Ons__shared @
% 81.25/12.18 (tc_List_Olist @ tc_Event_Oevent)))
% 81.25/12.18 | (hBOOL @ (c_in @ X2 @ c_Event_Obad @ tc_Message_Oagent))
% 81.25/12.18 | ~ (hBOOL @
% 81.25/12.18 (c_in @
% 81.25/12.18 (c_Message_Omsg_OCrypt @ (hAPP @ c_Public_OshrK @ X2) @
% 81.25/12.18 (c_Message_Omsg_OMPair @ X3 @
% 81.25/12.18 (c_Message_Omsg_OMPair @ (c_Message_Omsg_OAgent @ X4) @
% 81.25/12.18 (c_Message_Omsg_OMPair @
% 81.25/12.18 (hAPP @ c_Message_Omsg_OKey @ X0) @ X5)))) @
% 81.25/12.18 (c_Message_Oparts @
% 81.25/12.18 (c_Event_Oknows @ c_Message_Oagent_OSpy @ X1)) @
% 81.25/12.18 tc_Message_Omsg)))),
% 81.25/12.18 inference('cnf', [status(esa)], [cls_cert__A__form_0])).
% 81.25/12.18 thf(zip_derived_cl26025, plain,
% 81.25/12.18 (( (hBOOL @ (c_in @ v_A @ c_Event_Obad @ tc_Message_Oagent))
% 81.25/12.18 | ~ (hBOOL @
% 81.25/12.18 (c_in @ v_evs @ c_NS__Shared__Mirabelle_Ons__shared @
% 81.25/12.18 (tc_List_Olist @ tc_Event_Oevent)))
% 81.25/12.18 | ~ (hBOOL @
% 81.25/12.18 (c_in @ v_K @
% 81.25/12.18 (c_Set_Oimage @ c_Public_OshrK @
% 81.25/12.18 (c_Orderings_Otop__class_Otop @
% 81.25/12.18 (tc_fun @ tc_Message_Oagent @ tc_bool)) @
% 81.25/12.18 tc_Message_Oagent @ tc_nat) @
% 81.25/12.18 tc_nat)))),
% 81.25/12.18 inference('sup-', [status(thm)], [zip_derived_cl9425, zip_derived_cl540])).
% 81.25/12.18 thf(cls_Crypt__Spy__analz__bad_0, axiom,
% 81.25/12.18 (( hBOOL @
% 81.25/12.18 ( c_in @
% 81.25/12.18 V_X @
% 81.25/12.18 ( c_Message_Oanalz @
% 81.25/12.18 ( c_Event_Oknows @ c_Message_Oagent_OSpy @ V_evs ) ) @
% 81.25/12.18 tc_Message_Omsg ) ) |
% 81.25/12.18 ( ~( hBOOL @ ( c_in @ V_A @ c_Event_Obad @ tc_Message_Oagent ) ) ) |
% 81.25/12.18 ( ~( hBOOL @
% 81.25/12.18 ( c_in @
% 81.25/12.18 ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ V_A ) @ V_X ) @
% 81.25/12.18 ( c_Message_Oanalz @
% 81.25/12.18 ( c_Event_Oknows @ c_Message_Oagent_OSpy @ V_evs ) ) @
% 81.25/12.18 tc_Message_Omsg ) ) ))).
% 81.25/12.18 thf(zip_derived_cl521, plain,
% 81.25/12.18 (![X0 : $i, X1 : $i, X2 : $i]:
% 81.25/12.18 ( (hBOOL @
% 81.25/12.18 (c_in @ X0 @
% 81.25/12.18 (c_Message_Oanalz @ (c_Event_Oknows @ c_Message_Oagent_OSpy @ X1)) @
% 81.25/12.18 tc_Message_Omsg))
% 81.25/12.18 | ~ (hBOOL @ (c_in @ X2 @ c_Event_Obad @ tc_Message_Oagent))
% 81.25/12.18 | ~ (hBOOL @
% 81.25/12.18 (c_in @
% 81.25/12.18 (c_Message_Omsg_OCrypt @ (hAPP @ c_Public_OshrK @ X2) @ X0) @
% 81.25/12.18 (c_Message_Oanalz @
% 81.25/12.18 (c_Event_Oknows @ c_Message_Oagent_OSpy @ X1)) @
% 81.25/12.18 tc_Message_Omsg)))),
% 81.25/12.18 inference('cnf', [status(esa)], [cls_Crypt__Spy__analz__bad_0])).
% 81.25/12.18 thf(cls_Says__imp__analz__Spy_0, axiom,
% 81.25/12.18 (( hBOOL @
% 81.25/12.18 ( c_in @
% 81.25/12.18 V_X @
% 81.25/12.18 ( c_Message_Oanalz @
% 81.25/12.18 ( c_Event_Oknows @ c_Message_Oagent_OSpy @ V_evs ) ) @
% 81.25/12.18 tc_Message_Omsg ) ) |
% 81.25/12.18 ( ~( hBOOL @
% 81.25/12.18 ( c_in @
% 81.25/12.18 ( c_Event_Oevent_OSays @ V_A @ V_B @ V_X ) @
% 81.25/12.18 ( c_List_Oset @ V_evs @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) ))).
% 81.25/12.18 thf(zip_derived_cl574, plain,
% 81.25/12.18 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 81.25/12.18 ( (hBOOL @
% 81.25/12.18 (c_in @ X0 @
% 81.25/12.18 (c_Message_Oanalz @ (c_Event_Oknows @ c_Message_Oagent_OSpy @ X1)) @
% 81.25/12.18 tc_Message_Omsg))
% 81.25/12.18 | ~ (hBOOL @
% 81.25/12.18 (c_in @ (c_Event_Oevent_OSays @ X2 @ X3 @ X0) @
% 81.25/12.18 (c_List_Oset @ X1 @ tc_Event_Oevent) @ tc_Event_Oevent)))),
% 81.25/12.18 inference('cnf', [status(esa)], [cls_Says__imp__analz__Spy_0])).
% 81.25/12.18 thf(zip_derived_cl619, plain,
% 81.25/12.18 ( (hBOOL @
% 81.25/12.18 (c_in @
% 81.25/12.18 (c_Event_Oevent_OSays @ v_S @ v_A @
% 81.25/12.18 (c_Message_Omsg_OCrypt @ (hAPP @ c_Public_OshrK @ v_A) @
% 81.25/12.18 (c_Message_Omsg_OMPair @ (c_Message_Omsg_ONonce @ v_NA) @
% 81.25/12.18 (c_Message_Omsg_OMPair @ (c_Message_Omsg_OAgent @ v_B) @
% 81.25/12.18 (c_Message_Omsg_OMPair @ (hAPP @ c_Message_Omsg_OKey @ v_K) @ v_X))))) @
% 81.25/12.18 (c_List_Oset @ v_evs @ tc_Event_Oevent) @ tc_Event_Oevent))),
% 81.25/12.18 inference('cnf', [status(esa)], [zf_stmt_0])).
% 81.25/12.18 thf(zip_derived_cl9430, plain,
% 81.25/12.18 ( (hBOOL @
% 81.25/12.18 (c_in @
% 81.25/12.18 (c_Message_Omsg_OCrypt @ (hAPP @ c_Public_OshrK @ v_A) @
% 81.25/12.18 (c_Message_Omsg_OMPair @ (c_Message_Omsg_ONonce @ v_NA) @
% 81.25/12.18 (c_Message_Omsg_OMPair @ (c_Message_Omsg_OAgent @ v_B) @
% 81.25/12.18 (c_Message_Omsg_OMPair @ (hAPP @ c_Message_Omsg_OKey @ v_K) @ v_X)))) @
% 81.25/12.18 (c_Message_Oanalz @ (c_Event_Oknows @ c_Message_Oagent_OSpy @ v_evs)) @
% 81.25/12.18 tc_Message_Omsg))),
% 81.25/12.18 inference('sup+', [status(thm)], [zip_derived_cl574, zip_derived_cl619])).
% 81.25/12.18 thf(zip_derived_cl24950, plain,
% 81.25/12.18 ((~ (hBOOL @ (c_in @ v_A @ c_Event_Obad @ tc_Message_Oagent))
% 81.25/12.18 | (hBOOL @
% 81.25/12.18 (c_in @
% 81.25/12.18 (c_Message_Omsg_OMPair @ (c_Message_Omsg_ONonce @ v_NA) @
% 81.25/12.18 (c_Message_Omsg_OMPair @ (c_Message_Omsg_OAgent @ v_B) @
% 81.25/12.18 (c_Message_Omsg_OMPair @ (hAPP @ c_Message_Omsg_OKey @ v_K) @
% 81.25/12.18 v_X))) @
% 81.25/12.18 (c_Message_Oanalz @
% 81.25/12.18 (c_Event_Oknows @ c_Message_Oagent_OSpy @ v_evs)) @
% 81.25/12.18 tc_Message_Omsg)))),
% 81.25/12.18 inference('sup+', [status(thm)], [zip_derived_cl521, zip_derived_cl9430])).
% 81.25/12.18 thf(cls_analz_OSnd_0, axiom,
% 81.25/12.18 (( hBOOL @ ( c_in @ V_Y @ ( c_Message_Oanalz @ V_H ) @ tc_Message_Omsg ) ) |
% 81.25/12.18 ( ~( hBOOL @
% 81.25/12.18 ( c_in @
% 81.25/12.18 ( c_Message_Omsg_OMPair @ V_X @ V_Y ) @
% 81.25/12.18 ( c_Message_Oanalz @ V_H ) @ tc_Message_Omsg ) ) ))).
% 81.25/12.18 thf(zip_derived_cl557, plain,
% 81.25/12.18 (![X0 : $i, X1 : $i, X2 : $i]:
% 81.25/12.18 ( (hBOOL @ (c_in @ X0 @ (c_Message_Oanalz @ X1) @ tc_Message_Omsg))
% 81.25/12.18 | ~ (hBOOL @
% 81.25/12.18 (c_in @ (c_Message_Omsg_OMPair @ X2 @ X0) @
% 81.25/12.18 (c_Message_Oanalz @ X1) @ tc_Message_Omsg)))),
% 81.25/12.18 inference('cnf', [status(esa)], [cls_analz_OSnd_0])).
% 81.25/12.18 thf(zip_derived_cl24981, plain,
% 81.25/12.18 ((~ (hBOOL @ (c_in @ v_A @ c_Event_Obad @ tc_Message_Oagent))
% 81.25/12.18 | (hBOOL @
% 81.25/12.18 (c_in @
% 81.25/12.18 (c_Message_Omsg_OMPair @ (c_Message_Omsg_OAgent @ v_B) @
% 81.25/12.18 (c_Message_Omsg_OMPair @ (hAPP @ c_Message_Omsg_OKey @ v_K) @ v_X)) @
% 81.25/12.18 (c_Message_Oanalz @
% 81.25/12.18 (c_Event_Oknows @ c_Message_Oagent_OSpy @ v_evs)) @
% 81.25/12.18 tc_Message_Omsg)))),
% 81.25/12.18 inference('sup-', [status(thm)], [zip_derived_cl24950, zip_derived_cl557])).
% 81.25/12.18 thf(zip_derived_cl557, plain,
% 81.25/12.18 (![X0 : $i, X1 : $i, X2 : $i]:
% 81.25/12.18 ( (hBOOL @ (c_in @ X0 @ (c_Message_Oanalz @ X1) @ tc_Message_Omsg))
% 81.25/12.18 | ~ (hBOOL @
% 81.25/12.18 (c_in @ (c_Message_Omsg_OMPair @ X2 @ X0) @
% 81.25/12.18 (c_Message_Oanalz @ X1) @ tc_Message_Omsg)))),
% 81.25/12.18 inference('cnf', [status(esa)], [cls_analz_OSnd_0])).
% 81.25/12.18 thf(zip_derived_cl25205, plain,
% 81.25/12.18 ((~ (hBOOL @ (c_in @ v_A @ c_Event_Obad @ tc_Message_Oagent))
% 81.25/12.18 | (hBOOL @
% 81.25/12.18 (c_in @
% 81.25/12.18 (c_Message_Omsg_OMPair @ (hAPP @ c_Message_Omsg_OKey @ v_K) @ v_X) @
% 81.25/12.18 (c_Message_Oanalz @
% 81.25/12.18 (c_Event_Oknows @ c_Message_Oagent_OSpy @ v_evs)) @
% 81.25/12.18 tc_Message_Omsg)))),
% 81.25/12.18 inference('sup-', [status(thm)], [zip_derived_cl24981, zip_derived_cl557])).
% 81.25/12.18 thf(zip_derived_cl557, plain,
% 81.25/12.18 (![X0 : $i, X1 : $i, X2 : $i]:
% 81.25/12.18 ( (hBOOL @ (c_in @ X0 @ (c_Message_Oanalz @ X1) @ tc_Message_Omsg))
% 81.25/12.18 | ~ (hBOOL @
% 81.25/12.18 (c_in @ (c_Message_Omsg_OMPair @ X2 @ X0) @
% 81.25/12.18 (c_Message_Oanalz @ X1) @ tc_Message_Omsg)))),
% 81.25/12.18 inference('cnf', [status(esa)], [cls_analz_OSnd_0])).
% 81.25/12.18 thf(zip_derived_cl25952, plain,
% 81.25/12.18 ((~ (hBOOL @ (c_in @ v_A @ c_Event_Obad @ tc_Message_Oagent))
% 81.25/12.18 | (hBOOL @
% 81.25/12.18 (c_in @ v_X @
% 81.25/12.18 (c_Message_Oanalz @
% 81.25/12.18 (c_Event_Oknows @ c_Message_Oagent_OSpy @ v_evs)) @
% 81.25/12.18 tc_Message_Omsg)))),
% 81.25/12.18 inference('sup-', [status(thm)], [zip_derived_cl25205, zip_derived_cl557])).
% 81.25/12.18 thf(cls_conjecture_2, conjecture,
% 81.25/12.18 (hBOOL @
% 81.25/12.18 ( c_in @
% 81.25/12.18 v_X @
% 81.25/12.18 ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ v_evs ) ) @
% 81.25/12.18 tc_Message_Omsg ))).
% 81.25/12.18 thf(zf_stmt_1, negated_conjecture,
% 81.25/12.18 (~( hBOOL @
% 81.25/12.18 ( c_in @
% 81.25/12.18 v_X @
% 81.25/12.18 ( c_Message_Oanalz @
% 81.25/12.18 ( c_Event_Oknows @ c_Message_Oagent_OSpy @ v_evs ) ) @
% 81.25/12.18 tc_Message_Omsg ) )),
% 81.25/12.18 inference('cnf.neg', [status(esa)], [cls_conjecture_2])).
% 81.25/12.18 thf(zip_derived_cl617, plain,
% 81.25/12.18 (~ (hBOOL @
% 81.25/12.18 (c_in @ v_X @
% 81.25/12.18 (c_Message_Oanalz @ (c_Event_Oknows @ c_Message_Oagent_OSpy @ v_evs)) @
% 81.25/12.18 tc_Message_Omsg))),
% 81.25/12.18 inference('cnf', [status(esa)], [zf_stmt_1])).
% 81.25/12.18 thf(zip_derived_cl25963, plain,
% 81.25/12.18 (~ (hBOOL @ (c_in @ v_A @ c_Event_Obad @ tc_Message_Oagent))),
% 81.25/12.18 inference('clc', [status(thm)], [zip_derived_cl25952, zip_derived_cl617])).
% 81.25/12.18 thf(cls_conjecture_1, conjecture,
% 81.25/12.18 (~( hBOOL @
% 81.25/12.18 ( c_in @
% 81.25/12.18 v_evs @ c_NS__Shared__Mirabelle_Ons__shared @
% 81.25/12.18 ( tc_List_Olist @ tc_Event_Oevent ) ) ))).
% 81.25/12.18 thf(zf_stmt_2, negated_conjecture,
% 81.25/12.18 (hBOOL @
% 81.25/12.18 ( c_in @
% 81.25/12.18 v_evs @ c_NS__Shared__Mirabelle_Ons__shared @
% 81.25/12.18 ( tc_List_Olist @ tc_Event_Oevent ) )),
% 81.25/12.18 inference('cnf.neg', [status(esa)], [cls_conjecture_1])).
% 81.25/12.18 thf(zip_derived_cl618, plain,
% 81.25/12.18 ( (hBOOL @
% 81.25/12.18 (c_in @ v_evs @ c_NS__Shared__Mirabelle_Ons__shared @
% 81.25/12.18 (tc_List_Olist @ tc_Event_Oevent)))),
% 81.25/12.18 inference('cnf', [status(esa)], [zf_stmt_2])).
% 81.25/12.18 thf(zip_derived_cl26034, plain,
% 81.25/12.18 (~ (hBOOL @
% 81.25/12.18 (c_in @ v_K @
% 81.25/12.18 (c_Set_Oimage @ c_Public_OshrK @
% 81.25/12.18 (c_Orderings_Otop__class_Otop @
% 81.25/12.18 (tc_fun @ tc_Message_Oagent @ tc_bool)) @
% 81.25/12.18 tc_Message_Oagent @ tc_nat) @
% 81.25/12.18 tc_nat))),
% 81.25/12.18 inference('demod', [status(thm)],
% 81.25/12.18 [zip_derived_cl26025, zip_derived_cl25963, zip_derived_cl618])).
% 81.25/12.18 thf(cls_mem__def_1, axiom,
% 81.25/12.18 (( hBOOL @ ( c_in @ V_x @ V_S @ T_a ) ) |
% 81.25/12.18 ( ~( hBOOL @ ( hAPP @ V_S @ V_x ) ) ))).
% 81.25/12.18 thf(zip_derived_cl585, plain,
% 81.25/12.18 (![X0 : $i, X1 : $i, X2 : $i]:
% 81.25/12.18 ( (hBOOL @ (c_in @ X0 @ X1 @ X2)) | ~ (hBOOL @ (hAPP @ X1 @ X0)))),
% 81.25/12.18 inference('cnf', [status(esa)], [cls_mem__def_1])).
% 81.25/12.18 thf(zip_derived_cl26038, plain,
% 81.25/12.18 (~ (hBOOL @
% 81.25/12.18 (hAPP @
% 81.25/12.18 (c_Set_Oimage @ c_Public_OshrK @
% 81.25/12.18 (c_Orderings_Otop__class_Otop @
% 81.25/12.18 (tc_fun @ tc_Message_Oagent @ tc_bool)) @
% 81.25/12.18 tc_Message_Oagent @ tc_nat) @
% 81.25/12.18 v_K))),
% 81.25/12.18 inference('sup+', [status(thm)], [zip_derived_cl26034, zip_derived_cl585])).
% 81.25/12.18 thf(cls_mem__def_0, axiom,
% 81.25/12.18 (( hBOOL @ ( hAPP @ V_S @ V_x ) ) |
% 81.25/12.18 ( ~( hBOOL @ ( c_in @ V_x @ V_S @ T_a ) ) ))).
% 81.25/12.18 thf(zip_derived_cl586, plain,
% 81.25/12.18 (![X0 : $i, X1 : $i, X2 : $i]:
% 81.25/12.18 ( (hBOOL @ (hAPP @ X0 @ X1)) | ~ (hBOOL @ (c_in @ X1 @ X0 @ X2)))),
% 81.25/12.18 inference('cnf', [status(esa)], [cls_mem__def_0])).
% 81.25/12.18 thf(cls_conjecture_3, conjecture,
% 81.25/12.18 (~( ( hBOOL @
% 81.25/12.18 ( c_in @
% 81.25/12.18 v_K @
% 81.25/12.18 ( c_Set_Oimage @
% 81.25/12.18 c_Public_OshrK @
% 81.25/12.18 ( c_Orderings_Otop__class_Otop @
% 81.25/12.18 ( tc_fun @ tc_Message_Oagent @ tc_bool ) ) @
% 81.25/12.18 tc_Message_Oagent @ tc_nat ) @
% 81.25/12.18 tc_nat ) ) |
% 81.25/12.18 ( ( v_X ) !=
% 81.25/12.18 ( c_Message_Omsg_OCrypt @
% 81.25/12.18 ( hAPP @ c_Public_OshrK @ v_B ) @
% 81.25/12.18 ( c_Message_Omsg_OMPair @
% 81.25/12.18 ( hAPP @ c_Message_Omsg_OKey @ v_K ) @
% 81.25/12.18 ( c_Message_Omsg_OAgent @ v_A ) ) ) ) ))).
% 81.25/12.18 thf(zf_stmt_3, negated_conjecture,
% 81.25/12.18 (( hBOOL @
% 81.25/12.18 ( c_in @
% 81.25/12.18 v_K @
% 81.25/12.18 ( c_Set_Oimage @
% 81.25/12.18 c_Public_OshrK @
% 81.25/12.18 ( c_Orderings_Otop__class_Otop @
% 81.25/12.18 ( tc_fun @ tc_Message_Oagent @ tc_bool ) ) @
% 81.25/12.18 tc_Message_Oagent @ tc_nat ) @
% 81.25/12.18 tc_nat ) ) |
% 81.25/12.18 ( ( v_X ) !=
% 81.25/12.18 ( c_Message_Omsg_OCrypt @
% 81.25/12.18 ( hAPP @ c_Public_OshrK @ v_B ) @
% 81.25/12.18 ( c_Message_Omsg_OMPair @
% 81.25/12.18 ( hAPP @ c_Message_Omsg_OKey @ v_K ) @
% 81.25/12.18 ( c_Message_Omsg_OAgent @ v_A ) ) ) )),
% 81.25/12.18 inference('cnf.neg', [status(esa)], [cls_conjecture_3])).
% 81.25/12.18 thf(zip_derived_cl616, plain,
% 81.25/12.18 (( (hBOOL @
% 81.25/12.18 (c_in @ v_K @
% 81.25/12.18 (c_Set_Oimage @ c_Public_OshrK @
% 81.25/12.18 (c_Orderings_Otop__class_Otop @
% 81.25/12.18 (tc_fun @ tc_Message_Oagent @ tc_bool)) @
% 81.25/12.18 tc_Message_Oagent @ tc_nat) @
% 81.25/12.18 tc_nat))
% 81.25/12.18 | ((v_X)
% 81.25/12.18 != (c_Message_Omsg_OCrypt @ (hAPP @ c_Public_OshrK @ v_B) @
% 81.25/12.18 (c_Message_Omsg_OMPair @ (hAPP @ c_Message_Omsg_OKey @ v_K) @
% 81.25/12.18 (c_Message_Omsg_OAgent @ v_A)))))),
% 81.25/12.18 inference('cnf', [status(esa)], [zf_stmt_3])).
% 81.25/12.18 thf(zip_derived_cl2479, plain,
% 81.25/12.18 (( (hBOOL @
% 81.25/12.18 (hAPP @
% 81.25/12.18 (c_Set_Oimage @ c_Public_OshrK @
% 81.25/12.18 (c_Orderings_Otop__class_Otop @
% 81.25/12.18 (tc_fun @ tc_Message_Oagent @ tc_bool)) @
% 81.25/12.18 tc_Message_Oagent @ tc_nat) @
% 81.25/12.18 v_K))
% 81.25/12.18 | ((v_X)
% 81.25/12.18 != (c_Message_Omsg_OCrypt @ (hAPP @ c_Public_OshrK @ v_B) @
% 81.25/12.18 (c_Message_Omsg_OMPair @ (hAPP @ c_Message_Omsg_OKey @ v_K) @
% 81.25/12.18 (c_Message_Omsg_OAgent @ v_A)))))),
% 81.25/12.18 inference('sup+', [status(thm)], [zip_derived_cl586, zip_derived_cl616])).
% 81.25/12.18 thf(zip_derived_cl25963, plain,
% 81.25/12.18 (~ (hBOOL @ (c_in @ v_A @ c_Event_Obad @ tc_Message_Oagent))),
% 81.25/12.18 inference('clc', [status(thm)], [zip_derived_cl25952, zip_derived_cl617])).
% 81.25/12.18 thf(zip_derived_cl9425, plain,
% 81.25/12.18 ( (hBOOL @
% 81.25/12.18 (c_in @
% 81.25/12.18 (c_Message_Omsg_OCrypt @ (hAPP @ c_Public_OshrK @ v_A) @
% 81.25/12.18 (c_Message_Omsg_OMPair @ (c_Message_Omsg_ONonce @ v_NA) @
% 81.25/12.18 (c_Message_Omsg_OMPair @ (c_Message_Omsg_OAgent @ v_B) @
% 81.25/12.18 (c_Message_Omsg_OMPair @ (hAPP @ c_Message_Omsg_OKey @ v_K) @ v_X)))) @
% 81.25/12.18 (c_Message_Oparts @ (c_Event_Oknows @ c_Message_Oagent_OSpy @ v_evs)) @
% 81.25/12.18 tc_Message_Omsg))),
% 81.25/12.18 inference('sup+', [status(thm)], [zip_derived_cl547, zip_derived_cl619])).
% 81.25/12.18 thf(cls_cert__A__form_1, axiom,
% 81.25/12.18 (( ( V_X ) =
% 81.25/12.18 ( c_Message_Omsg_OCrypt @
% 81.25/12.18 ( hAPP @ c_Public_OshrK @ V_B ) @
% 81.25/12.18 ( c_Message_Omsg_OMPair @
% 81.25/12.18 ( hAPP @ c_Message_Omsg_OKey @ V_K ) @
% 81.25/12.18 ( c_Message_Omsg_OAgent @ V_A ) ) ) ) |
% 81.25/12.18 ( ~( hBOOL @
% 81.25/12.18 ( c_in @
% 81.25/12.18 V_evs @ c_NS__Shared__Mirabelle_Ons__shared @
% 81.25/12.18 ( tc_List_Olist @ tc_Event_Oevent ) ) ) ) |
% 81.25/12.18 ( hBOOL @ ( c_in @ V_A @ c_Event_Obad @ tc_Message_Oagent ) ) |
% 81.25/12.18 ( ~( hBOOL @
% 81.25/12.18 ( c_in @
% 81.25/12.18 ( c_Message_Omsg_OCrypt @
% 81.25/12.18 ( hAPP @ c_Public_OshrK @ V_A ) @
% 81.25/12.18 ( c_Message_Omsg_OMPair @
% 81.25/12.18 V_NA @
% 81.25/12.18 ( c_Message_Omsg_OMPair @
% 81.25/12.18 ( c_Message_Omsg_OAgent @ V_B ) @
% 81.25/12.18 ( c_Message_Omsg_OMPair @
% 81.25/12.18 ( hAPP @ c_Message_Omsg_OKey @ V_K ) @ V_X ) ) ) ) @
% 81.25/12.18 ( c_Message_Oparts @
% 81.25/12.18 ( c_Event_Oknows @ c_Message_Oagent_OSpy @ V_evs ) ) @
% 81.25/12.18 tc_Message_Omsg ) ) ))).
% 81.25/12.18 thf(zip_derived_cl530, plain,
% 81.25/12.18 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 81.25/12.18 (((X3)
% 81.25/12.18 = (c_Message_Omsg_OCrypt @ (hAPP @ c_Public_OshrK @ X0) @
% 81.25/12.18 (c_Message_Omsg_OMPair @ (hAPP @ c_Message_Omsg_OKey @ X1) @
% 81.25/12.18 (c_Message_Omsg_OAgent @ X2))))
% 81.25/12.18 | ~ (hBOOL @
% 81.25/12.18 (c_in @ X4 @ c_NS__Shared__Mirabelle_Ons__shared @
% 81.25/12.18 (tc_List_Olist @ tc_Event_Oevent)))
% 81.25/12.18 | (hBOOL @ (c_in @ X2 @ c_Event_Obad @ tc_Message_Oagent))
% 81.25/12.18 | ~ (hBOOL @
% 81.25/12.18 (c_in @
% 81.25/12.18 (c_Message_Omsg_OCrypt @ (hAPP @ c_Public_OshrK @ X2) @
% 81.25/12.18 (c_Message_Omsg_OMPair @ X5 @
% 81.25/12.18 (c_Message_Omsg_OMPair @ (c_Message_Omsg_OAgent @ X0) @
% 81.25/12.18 (c_Message_Omsg_OMPair @
% 81.25/12.18 (hAPP @ c_Message_Omsg_OKey @ X1) @ X3)))) @
% 81.25/12.18 (c_Message_Oparts @
% 81.25/12.18 (c_Event_Oknows @ c_Message_Oagent_OSpy @ X4)) @
% 81.25/12.18 tc_Message_Omsg)))),
% 81.25/12.18 inference('cnf', [status(esa)], [cls_cert__A__form_1])).
% 81.25/12.18 thf(zip_derived_cl25258, plain,
% 81.25/12.18 (( (hBOOL @ (c_in @ v_A @ c_Event_Obad @ tc_Message_Oagent))
% 81.25/12.18 | ~ (hBOOL @
% 81.25/12.18 (c_in @ v_evs @ c_NS__Shared__Mirabelle_Ons__shared @
% 81.25/12.18 (tc_List_Olist @ tc_Event_Oevent)))
% 81.25/12.18 | ((v_X)
% 81.25/12.18 = (c_Message_Omsg_OCrypt @ (hAPP @ c_Public_OshrK @ v_B) @
% 81.25/12.18 (c_Message_Omsg_OMPair @ (hAPP @ c_Message_Omsg_OKey @ v_K) @
% 81.25/12.18 (c_Message_Omsg_OAgent @ v_A)))))),
% 81.25/12.18 inference('sup-', [status(thm)], [zip_derived_cl9425, zip_derived_cl530])).
% 81.25/12.18 thf(zip_derived_cl618, plain,
% 81.25/12.18 ( (hBOOL @
% 81.25/12.18 (c_in @ v_evs @ c_NS__Shared__Mirabelle_Ons__shared @
% 81.25/12.18 (tc_List_Olist @ tc_Event_Oevent)))),
% 81.25/12.18 inference('cnf', [status(esa)], [zf_stmt_2])).
% 81.25/12.18 thf(zip_derived_cl25267, plain,
% 81.25/12.18 (( (hBOOL @ (c_in @ v_A @ c_Event_Obad @ tc_Message_Oagent))
% 81.25/12.18 | ((v_X)
% 81.25/12.18 = (c_Message_Omsg_OCrypt @ (hAPP @ c_Public_OshrK @ v_B) @
% 81.25/12.18 (c_Message_Omsg_OMPair @ (hAPP @ c_Message_Omsg_OKey @ v_K) @
% 81.25/12.18 (c_Message_Omsg_OAgent @ v_A)))))),
% 81.25/12.18 inference('demod', [status(thm)],
% 81.25/12.18 [zip_derived_cl25258, zip_derived_cl618])).
% 81.25/12.18 thf(zip_derived_cl25968, plain,
% 81.25/12.18 (((v_X)
% 81.25/12.18 = (c_Message_Omsg_OCrypt @ (hAPP @ c_Public_OshrK @ v_B) @
% 81.25/12.18 (c_Message_Omsg_OMPair @ (hAPP @ c_Message_Omsg_OKey @ v_K) @
% 81.25/12.18 (c_Message_Omsg_OAgent @ v_A))))),
% 81.25/12.18 inference('sup+', [status(thm)],
% 81.25/12.18 [zip_derived_cl25963, zip_derived_cl25267])).
% 81.25/12.18 thf(zip_derived_cl25976, plain,
% 81.25/12.18 (( (hBOOL @
% 81.25/12.18 (hAPP @
% 81.25/12.18 (c_Set_Oimage @ c_Public_OshrK @
% 81.25/12.18 (c_Orderings_Otop__class_Otop @
% 81.25/12.18 (tc_fun @ tc_Message_Oagent @ tc_bool)) @
% 81.25/12.18 tc_Message_Oagent @ tc_nat) @
% 81.25/12.18 v_K))
% 81.25/12.18 | ((v_X) != (v_X)))),
% 81.25/12.18 inference('demod', [status(thm)],
% 81.25/12.18 [zip_derived_cl2479, zip_derived_cl25968])).
% 81.25/12.18 thf(zip_derived_cl25977, plain,
% 81.25/12.18 ( (hBOOL @
% 81.25/12.18 (hAPP @
% 81.25/12.18 (c_Set_Oimage @ c_Public_OshrK @
% 81.25/12.18 (c_Orderings_Otop__class_Otop @
% 81.25/12.18 (tc_fun @ tc_Message_Oagent @ tc_bool)) @
% 81.25/12.18 tc_Message_Oagent @ tc_nat) @
% 81.25/12.18 v_K))),
% 81.25/12.18 inference('simplify', [status(thm)], [zip_derived_cl25976])).
% 81.25/12.18 thf(zip_derived_cl26156, plain, ($false),
% 81.25/12.18 inference('demod', [status(thm)],
% 81.25/12.18 [zip_derived_cl26038, zip_derived_cl25977])).
% 81.25/12.18
% 81.25/12.18 % SZS output end Refutation
% 81.25/12.18
% 81.25/12.18
% 81.25/12.18 % Terminating...
% 82.19/12.30 % Runner terminated.
% 82.19/12.32 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------