%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SWV746-1 : TPTP v9.2.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.fJCcR2aFdy true
% Computer : n006.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 05:01:54 PM UTC 2025
% Result : Unsatisfiable 140.62s 20.78s
% Output : Refutation 141.33s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : SWV746-1 : TPTP v9.2.0. Released v4.1.0.
% 0.12/0.13 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.fJCcR2aFdy true
% 0.13/0.34 % Computer : n006.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Wed Oct 1 12:41:53 EDT 2025
% 0.13/0.35 % CPUTime :
% 0.13/0.35 % Running portfolio for 300 s
% 0.13/0.35 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.35 % Number of cores: 8
% 0.20/0.35 % Python version: Python 3.6.8
% 0.20/0.35 % Running in FO mode
% 0.58/0.67 % Total configuration time : 435
% 0.58/0.67 % Estimated wc time : 1092
% 0.58/0.67 % Estimated cpu time (7 cpus) : 156.0
% 0.60/0.74 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.61/0.76 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.61/0.79 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.61/0.80 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.61/0.80 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.61/0.80 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.61/0.81 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 140.62/20.78 % Solved by fo/fo6_bce.sh.
% 140.62/20.78 % BCE start: 557
% 140.62/20.78 % BCE eliminated: 13
% 140.62/20.78 % PE start: 544
% 140.62/20.78 logic: eq
% 140.62/20.78 % PE eliminated: 1
% 140.62/20.78 % done 5162 iterations in 20.012s
% 140.62/20.78 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 140.62/20.78 % SZS output start Refutation
% 140.62/20.78 thf(c_Set_Oinsert_type, type, c_Set_Oinsert: $i > $i > $i > $i).
% 140.62/20.78 thf(c_HOL_Ouminus__class_Ouminus_type, type, c_HOL_Ouminus__class_Ouminus:
% 140.62/20.78 $i > $i > $i).
% 140.62/20.78 thf(c_Event_Oevent_OSays_type, type, c_Event_Oevent_OSays: $i > $i > $i > $i).
% 140.62/20.78 thf(c_List_Olist_OCons_type, type, c_List_Olist_OCons: $i > $i > $i > $i).
% 140.62/20.78 thf(c_Event_Oevent_ONotes_type, type, c_Event_Oevent_ONotes: $i > $i > $i).
% 140.62/20.78 thf(c_Message_Osynth_type, type, c_Message_Osynth: $i > $i).
% 140.62/20.78 thf(hAPP_type, type, hAPP: $i > $i > $i).
% 140.62/20.78 thf(c_Event_Oknows_type, type, c_Event_Oknows: $i > $i > $i).
% 140.62/20.78 thf(v_x_type, type, v_x: $i).
% 140.62/20.78 thf(tc_bool_type, type, tc_bool: $i).
% 140.62/20.78 thf(c_Message_Oanalz_type, type, c_Message_Oanalz: $i > $i).
% 140.62/20.78 thf(hBOOL_type, type, hBOOL: $i > $o).
% 140.62/20.78 thf(c_Public_OshrK_type, type, c_Public_OshrK: $i).
% 140.62/20.78 thf(c_Message_Omsg_OAgent_type, type, c_Message_Omsg_OAgent: $i > $i).
% 140.62/20.78 thf(tc_fun_type, type, tc_fun: $i > $i > $i).
% 140.62/20.78 thf(v_evsf_type, type, v_evsf: $i).
% 140.62/20.78 thf(v_K_type, type, v_K: $i).
% 140.62/20.78 thf(v_B_type, type, v_B: $i).
% 140.62/20.78 thf(c_Message_Omsg_OKey_type, type, c_Message_Omsg_OKey: $i).
% 140.62/20.78 thf(c_Message_Oagent_OSpy_type, type, c_Message_Oagent_OSpy: $i).
% 140.62/20.78 thf(c_in_type, type, c_in: $i > $i > $i > $i).
% 140.62/20.78 thf(v_Ba_type, type, v_Ba: $i).
% 140.62/20.78 thf(v_A_type, type, v_A: $i).
% 140.62/20.78 thf(c_Message_Omsg_OCrypt_type, type, c_Message_Omsg_OCrypt: $i > $i > $i).
% 140.62/20.78 thf(v_NA_type, type, v_NA: $i).
% 140.62/20.78 thf(c_List_Oset_type, type, c_List_Oset: $i > $i > $i).
% 140.62/20.78 thf(v_X_type, type, v_X: $i).
% 140.62/20.78 thf(tc_Message_Omsg_type, type, tc_Message_Omsg: $i).
% 140.62/20.78 thf(c_Message_Omsg_OMPair_type, type, c_Message_Omsg_OMPair: $i > $i > $i).
% 140.62/20.78 thf(c_Message_Oagent_OServer_type, type, c_Message_Oagent_OServer: $i).
% 140.62/20.78 thf(tc_Event_Oevent_type, type, tc_Event_Oevent: $i).
% 140.62/20.78 thf(cls_conjecture_4, conjecture,
% 140.62/20.78 (~( hBOOL @
% 140.62/20.78 ( c_in @
% 140.62/20.78 ( c_Event_Oevent_OSays @
% 140.62/20.78 c_Message_Oagent_OServer @ v_A @
% 140.62/20.78 ( c_Message_Omsg_OCrypt @
% 140.62/20.78 ( hAPP @ c_Public_OshrK @ v_A ) @
% 140.62/20.78 ( c_Message_Omsg_OMPair @
% 140.62/20.78 v_NA @
% 140.62/20.78 ( c_Message_Omsg_OMPair @
% 140.62/20.78 ( c_Message_Omsg_OAgent @ v_B ) @
% 140.62/20.78 ( c_Message_Omsg_OMPair @
% 140.62/20.78 ( hAPP @ c_Message_Omsg_OKey @ v_K ) @
% 140.62/20.78 ( c_Message_Omsg_OCrypt @
% 140.62/20.78 ( hAPP @ c_Public_OshrK @ v_B ) @
% 140.62/20.78 ( c_Message_Omsg_OMPair @
% 140.62/20.78 ( hAPP @ c_Message_Omsg_OKey @ v_K ) @
% 140.62/20.78 ( c_Message_Omsg_OAgent @ v_A ) ) ) ) ) ) ) ) @
% 140.62/20.78 ( c_List_Oset @
% 140.62/20.78 ( c_List_Olist_OCons @
% 140.62/20.78 ( c_Event_Oevent_OSays @ c_Message_Oagent_OSpy @ v_Ba @ v_X ) @
% 140.62/20.78 v_evsf @ tc_Event_Oevent ) @
% 140.62/20.78 tc_Event_Oevent ) @
% 140.62/20.78 tc_Event_Oevent ) ))).
% 140.62/20.78 thf(zf_stmt_0, negated_conjecture,
% 140.62/20.78 (hBOOL @
% 140.62/20.78 ( c_in @
% 140.62/20.78 ( c_Event_Oevent_OSays @
% 140.62/20.78 c_Message_Oagent_OServer @ v_A @
% 140.62/20.78 ( c_Message_Omsg_OCrypt @
% 140.62/20.78 ( hAPP @ c_Public_OshrK @ v_A ) @
% 140.62/20.78 ( c_Message_Omsg_OMPair @
% 140.62/20.78 v_NA @
% 140.62/20.78 ( c_Message_Omsg_OMPair @
% 140.62/20.78 ( c_Message_Omsg_OAgent @ v_B ) @
% 140.62/20.78 ( c_Message_Omsg_OMPair @
% 140.62/20.78 ( hAPP @ c_Message_Omsg_OKey @ v_K ) @
% 140.62/20.78 ( c_Message_Omsg_OCrypt @
% 140.62/20.78 ( hAPP @ c_Public_OshrK @ v_B ) @
% 140.62/20.78 ( c_Message_Omsg_OMPair @
% 140.62/20.78 ( hAPP @ c_Message_Omsg_OKey @ v_K ) @
% 140.62/20.78 ( c_Message_Omsg_OAgent @ v_A ) ) ) ) ) ) ) ) @
% 140.62/20.78 ( c_List_Oset @
% 140.62/20.78 ( c_List_Olist_OCons @
% 140.62/20.78 ( c_Event_Oevent_OSays @ c_Message_Oagent_OSpy @ v_Ba @ v_X ) @
% 140.62/20.78 v_evsf @ tc_Event_Oevent ) @
% 140.62/20.78 tc_Event_Oevent ) @
% 140.62/20.78 tc_Event_Oevent )),
% 140.62/20.78 inference('cnf.neg', [status(esa)], [cls_conjecture_4])).
% 140.62/20.78 thf(zip_derived_cl524, plain,
% 140.62/20.78 ( (hBOOL @
% 140.62/20.78 (c_in @
% 140.62/20.78 (c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ v_A @
% 140.62/20.78 (c_Message_Omsg_OCrypt @ (hAPP @ c_Public_OshrK @ v_A) @
% 140.62/20.78 (c_Message_Omsg_OMPair @ v_NA @
% 140.62/20.78 (c_Message_Omsg_OMPair @ (c_Message_Omsg_OAgent @ v_B) @
% 140.62/20.78 (c_Message_Omsg_OMPair @ (hAPP @ c_Message_Omsg_OKey @ v_K) @
% 140.62/20.78 (c_Message_Omsg_OCrypt @ (hAPP @ c_Public_OshrK @ v_B) @
% 140.62/20.78 (c_Message_Omsg_OMPair @ (hAPP @ c_Message_Omsg_OKey @ v_K) @
% 140.62/20.78 (c_Message_Omsg_OAgent @ v_A)))))))) @
% 140.62/20.78 (c_List_Oset @
% 140.62/20.78 (c_List_Olist_OCons @
% 140.62/20.78 (c_Event_Oevent_OSays @ c_Message_Oagent_OSpy @ v_Ba @ v_X) @
% 140.62/20.78 v_evsf @ tc_Event_Oevent) @
% 140.62/20.78 tc_Event_Oevent) @
% 140.62/20.78 tc_Event_Oevent))),
% 140.62/20.78 inference('cnf', [status(esa)], [zf_stmt_0])).
% 140.62/20.78 thf(cls_insert__absorb_0, axiom,
% 140.62/20.78 (( ( c_Set_Oinsert @ V_a @ V_A @ T_a ) = ( V_A ) ) |
% 140.62/20.78 ( ~( hBOOL @ ( c_in @ V_a @ V_A @ T_a ) ) ))).
% 140.62/20.78 thf(zip_derived_cl385, plain,
% 140.62/20.78 (![X0 : $i, X1 : $i, X2 : $i]:
% 140.62/20.78 (((c_Set_Oinsert @ X1 @ X0 @ X2) = (X0))
% 140.62/20.78 | ~ (hBOOL @ (c_in @ X1 @ X0 @ X2)))),
% 140.62/20.78 inference('cnf', [status(esa)], [cls_insert__absorb_0])).
% 140.62/20.78 thf(cls_insert__code_1, axiom,
% 140.62/20.78 (hBOOL @ ( hAPP @ ( c_Set_Oinsert @ V_x @ V_A @ T_a ) @ V_x ))).
% 140.62/20.78 thf(zip_derived_cl412, plain,
% 140.62/20.78 (![X0 : $i, X1 : $i, X2 : $i]:
% 140.62/20.78 (hBOOL @ (hAPP @ (c_Set_Oinsert @ X0 @ X1 @ X2) @ X0))),
% 140.62/20.78 inference('cnf', [status(esa)], [cls_insert__code_1])).
% 140.62/20.78 thf(cls_mem__def_1, axiom,
% 140.62/20.78 (( hBOOL @ ( c_in @ V_x @ V_S @ T_a ) ) |
% 140.62/20.78 ( ~( hBOOL @ ( hAPP @ V_S @ V_x ) ) ))).
% 140.62/20.78 thf(zip_derived_cl488, plain,
% 140.62/20.78 (![X0 : $i, X1 : $i, X2 : $i]:
% 140.62/20.78 ( (hBOOL @ (c_in @ X0 @ X1 @ X2)) | ~ (hBOOL @ (hAPP @ X1 @ X0)))),
% 140.62/20.78 inference('cnf', [status(esa)], [cls_mem__def_1])).
% 140.62/20.78 thf(zip_derived_cl3153, plain,
% 140.62/20.78 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 140.62/20.78 (hBOOL @ (c_in @ X0 @ (c_Set_Oinsert @ X0 @ X2 @ X1) @ X3))),
% 140.62/20.78 inference('s_sup-', [status(thm)], [zip_derived_cl412, zip_derived_cl488])).
% 140.62/20.78 thf(zip_derived_cl3360, plain,
% 140.62/20.78 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 140.62/20.78 (~ (hBOOL @ (c_in @ X3 @ X0 @ X2)) | (hBOOL @ (c_in @ X3 @ X0 @ X1)))),
% 140.62/20.78 inference('s_sup+', [status(thm)],
% 140.62/20.78 [zip_derived_cl385, zip_derived_cl3153])).
% 140.62/20.78 thf(zip_derived_cl3423, plain,
% 140.62/20.78 (![X0 : $i]:
% 140.62/20.78 (hBOOL @
% 140.62/20.78 (c_in @
% 140.62/20.78 (c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ v_A @
% 140.62/20.78 (c_Message_Omsg_OCrypt @ (hAPP @ c_Public_OshrK @ v_A) @
% 140.62/20.78 (c_Message_Omsg_OMPair @ v_NA @
% 140.62/20.78 (c_Message_Omsg_OMPair @ (c_Message_Omsg_OAgent @ v_B) @
% 140.62/20.78 (c_Message_Omsg_OMPair @ (hAPP @ c_Message_Omsg_OKey @ v_K) @
% 140.62/20.78 (c_Message_Omsg_OCrypt @ (hAPP @ c_Public_OshrK @ v_B) @
% 140.62/20.78 (c_Message_Omsg_OMPair @
% 140.62/20.78 (hAPP @ c_Message_Omsg_OKey @ v_K) @
% 140.62/20.78 (c_Message_Omsg_OAgent @ v_A)))))))) @
% 140.62/20.78 (c_List_Oset @
% 140.62/20.78 (c_List_Olist_OCons @
% 140.62/20.78 (c_Event_Oevent_OSays @ c_Message_Oagent_OSpy @ v_Ba @ v_X) @
% 140.62/20.78 v_evsf @ tc_Event_Oevent) @
% 140.62/20.78 tc_Event_Oevent) @
% 140.62/20.78 X0))),
% 140.62/20.78 inference('s_sup-', [status(thm)],
% 140.62/20.78 [zip_derived_cl524, zip_derived_cl3360])).
% 140.62/20.78 thf(cls_List_Oset_Osimps_I2_J_0, axiom,
% 140.62/20.78 (( c_List_Oset @ ( c_List_Olist_OCons @ V_x @ V_xs @ T_a ) @ T_a ) =
% 140.62/20.78 ( c_Set_Oinsert @ V_x @ ( c_List_Oset @ V_xs @ T_a ) @ T_a ))).
% 140.62/20.78 thf(zip_derived_cl363, plain,
% 140.62/20.78 (![X0 : $i, X1 : $i, X2 : $i]:
% 140.62/20.78 ((c_List_Oset @ (c_List_Olist_OCons @ X0 @ X1 @ X2) @ X2)
% 140.62/20.78 = (c_Set_Oinsert @ X0 @ (c_List_Oset @ X1 @ X2) @ X2))),
% 140.62/20.78 inference('cnf', [status(esa)], [cls_List_Oset_Osimps_I2_J_0])).
% 140.62/20.78 thf(zip_derived_cl9976, plain,
% 140.62/20.78 (![X0 : $i]:
% 140.62/20.78 (hBOOL @
% 140.62/20.78 (c_in @
% 140.62/20.78 (c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ v_A @
% 140.62/20.78 (c_Message_Omsg_OCrypt @ (hAPP @ c_Public_OshrK @ v_A) @
% 140.62/20.78 (c_Message_Omsg_OMPair @ v_NA @
% 140.62/20.78 (c_Message_Omsg_OMPair @ (c_Message_Omsg_OAgent @ v_B) @
% 140.62/20.78 (c_Message_Omsg_OMPair @ (hAPP @ c_Message_Omsg_OKey @ v_K) @
% 140.62/20.78 (c_Message_Omsg_OCrypt @ (hAPP @ c_Public_OshrK @ v_B) @
% 140.62/20.78 (c_Message_Omsg_OMPair @
% 140.62/20.78 (hAPP @ c_Message_Omsg_OKey @ v_K) @
% 140.62/20.78 (c_Message_Omsg_OAgent @ v_A)))))))) @
% 140.62/20.78 (c_Set_Oinsert @
% 140.62/20.78 (c_Event_Oevent_OSays @ c_Message_Oagent_OSpy @ v_Ba @ v_X) @
% 140.62/20.78 (c_List_Oset @ v_evsf @ tc_Event_Oevent) @ tc_Event_Oevent) @
% 140.62/20.78 X0))),
% 140.62/20.78 inference('demod', [status(thm)], [zip_derived_cl3423, zip_derived_cl363])).
% 140.62/20.78 thf(cls_insertE_0, axiom,
% 140.62/20.78 (( hBOOL @ ( c_in @ V_a @ V_A @ T_a ) ) | ( ( V_a ) = ( V_b ) ) |
% 140.62/20.78 ( ~( hBOOL @ ( c_in @ V_a @ ( c_Set_Oinsert @ V_b @ V_A @ T_a ) @ T_a ) ) ))).
% 140.62/20.78 thf(zip_derived_cl390, plain,
% 140.62/20.78 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 140.62/20.78 ( (hBOOL @ (c_in @ X0 @ X1 @ X2))
% 140.62/20.78 | ((X0) = (X3))
% 140.62/20.78 | ~ (hBOOL @ (c_in @ X0 @ (c_Set_Oinsert @ X3 @ X1 @ X2) @ X2)))),
% 140.62/20.78 inference('cnf', [status(esa)], [cls_insertE_0])).
% 140.62/20.78 thf(zip_derived_cl34984, plain,
% 140.62/20.78 (( (hBOOL @
% 140.62/20.78 (c_in @
% 140.62/20.78 (c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ v_A @
% 140.62/20.78 (c_Message_Omsg_OCrypt @ (hAPP @ c_Public_OshrK @ v_A) @
% 140.62/20.78 (c_Message_Omsg_OMPair @ v_NA @
% 140.62/20.78 (c_Message_Omsg_OMPair @ (c_Message_Omsg_OAgent @ v_B) @
% 140.62/20.78 (c_Message_Omsg_OMPair @ (hAPP @ c_Message_Omsg_OKey @ v_K) @
% 140.62/20.78 (c_Message_Omsg_OCrypt @ (hAPP @ c_Public_OshrK @ v_B) @
% 140.62/20.78 (c_Message_Omsg_OMPair @ (hAPP @ c_Message_Omsg_OKey @ v_K) @
% 140.62/20.78 (c_Message_Omsg_OAgent @ v_A)))))))) @
% 140.62/20.78 (c_List_Oset @ v_evsf @ tc_Event_Oevent) @ tc_Event_Oevent))
% 140.62/20.78 | ((c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ v_A @
% 140.62/20.78 (c_Message_Omsg_OCrypt @ (hAPP @ c_Public_OshrK @ v_A) @
% 140.62/20.78 (c_Message_Omsg_OMPair @ v_NA @
% 140.62/20.78 (c_Message_Omsg_OMPair @ (c_Message_Omsg_OAgent @ v_B) @
% 140.62/20.78 (c_Message_Omsg_OMPair @ (hAPP @ c_Message_Omsg_OKey @ v_K) @
% 140.62/20.78 (c_Message_Omsg_OCrypt @ (hAPP @ c_Public_OshrK @ v_B) @
% 140.62/20.78 (c_Message_Omsg_OMPair @ (hAPP @ c_Message_Omsg_OKey @ v_K) @
% 140.62/20.78 (c_Message_Omsg_OAgent @ v_A))))))))
% 140.62/20.78 = (c_Event_Oevent_OSays @ c_Message_Oagent_OSpy @ v_Ba @ v_X)))),
% 140.62/20.78 inference('s_sup-', [status(thm)],
% 141.33/20.78 [zip_derived_cl9976, zip_derived_cl390])).
% 141.33/20.78 thf(cls_conjecture_7, conjecture,
% 141.33/20.78 (~( ( ~( hBOOL @
% 141.33/20.78 ( c_in @
% 141.33/20.78 ( c_Event_Oevent_OSays @
% 141.33/20.78 c_Message_Oagent_OServer @ v_A @
% 141.33/20.78 ( c_Message_Omsg_OCrypt @
% 141.33/20.78 ( hAPP @ c_Public_OshrK @ v_A ) @
% 141.33/20.78 ( c_Message_Omsg_OMPair @
% 141.33/20.78 v_NA @
% 141.33/20.78 ( c_Message_Omsg_OMPair @
% 141.33/20.78 ( c_Message_Omsg_OAgent @ v_B ) @
% 141.33/20.78 ( c_Message_Omsg_OMPair @
% 141.33/20.78 ( hAPP @ c_Message_Omsg_OKey @ v_K ) @
% 141.33/20.78 ( c_Message_Omsg_OCrypt @
% 141.33/20.78 ( hAPP @ c_Public_OshrK @ v_B ) @
% 141.33/20.78 ( c_Message_Omsg_OMPair @
% 141.33/20.78 ( hAPP @ c_Message_Omsg_OKey @ v_K ) @
% 141.33/20.78 ( c_Message_Omsg_OAgent @ v_A ) ) ) ) ) ) ) ) @
% 141.33/20.78 ( c_List_Oset @ v_evsf @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) ) |
% 141.33/20.78 ( hBOOL @
% 141.33/20.78 ( c_in @
% 141.33/20.78 ( c_Event_Oevent_ONotes @
% 141.33/20.78 c_Message_Oagent_OSpy @
% 141.33/20.78 ( c_Message_Omsg_OMPair @
% 141.33/20.78 v_NA @
% 141.33/20.78 ( c_Message_Omsg_OMPair @
% 141.33/20.78 v_x @ ( hAPP @ c_Message_Omsg_OKey @ v_K ) ) ) ) @
% 141.33/20.78 ( c_List_Oset @ v_evsf @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) |
% 141.33/20.78 ( ~( hBOOL @
% 141.33/20.78 ( c_in @
% 141.33/20.78 ( hAPP @ c_Message_Omsg_OKey @ v_K ) @
% 141.33/20.78 ( c_Message_Oanalz @
% 141.33/20.78 ( c_Event_Oknows @ c_Message_Oagent_OSpy @ v_evsf ) ) @
% 141.33/20.78 tc_Message_Omsg ) ) ) ))).
% 141.33/20.78 thf(zf_stmt_1, negated_conjecture,
% 141.33/20.78 (( ~( hBOOL @
% 141.33/20.78 ( c_in @
% 141.33/20.78 ( c_Event_Oevent_OSays @
% 141.33/20.78 c_Message_Oagent_OServer @ v_A @
% 141.33/20.78 ( c_Message_Omsg_OCrypt @
% 141.33/20.78 ( hAPP @ c_Public_OshrK @ v_A ) @
% 141.33/20.78 ( c_Message_Omsg_OMPair @
% 141.33/20.78 v_NA @
% 141.33/20.78 ( c_Message_Omsg_OMPair @
% 141.33/20.78 ( c_Message_Omsg_OAgent @ v_B ) @
% 141.33/20.78 ( c_Message_Omsg_OMPair @
% 141.33/20.78 ( hAPP @ c_Message_Omsg_OKey @ v_K ) @
% 141.33/20.78 ( c_Message_Omsg_OCrypt @
% 141.33/20.78 ( hAPP @ c_Public_OshrK @ v_B ) @
% 141.33/20.78 ( c_Message_Omsg_OMPair @
% 141.33/20.78 ( hAPP @ c_Message_Omsg_OKey @ v_K ) @
% 141.33/20.78 ( c_Message_Omsg_OAgent @ v_A ) ) ) ) ) ) ) ) @
% 141.33/20.78 ( c_List_Oset @ v_evsf @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) ) |
% 141.33/20.78 ( hBOOL @
% 141.33/20.78 ( c_in @
% 141.33/20.78 ( c_Event_Oevent_ONotes @
% 141.33/20.78 c_Message_Oagent_OSpy @
% 141.33/20.78 ( c_Message_Omsg_OMPair @
% 141.33/20.78 v_NA @
% 141.33/20.78 ( c_Message_Omsg_OMPair @
% 141.33/20.78 v_x @ ( hAPP @ c_Message_Omsg_OKey @ v_K ) ) ) ) @
% 141.33/20.78 ( c_List_Oset @ v_evsf @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) |
% 141.33/20.78 ( ~( hBOOL @
% 141.33/20.78 ( c_in @
% 141.33/20.78 ( hAPP @ c_Message_Omsg_OKey @ v_K ) @
% 141.33/20.78 ( c_Message_Oanalz @
% 141.33/20.78 ( c_Event_Oknows @ c_Message_Oagent_OSpy @ v_evsf ) ) @
% 141.33/20.78 tc_Message_Omsg ) ) )),
% 141.33/20.78 inference('cnf.neg', [status(esa)], [cls_conjecture_7])).
% 141.33/20.78 thf(zip_derived_cl527, plain,
% 141.33/20.78 ((~ (hBOOL @
% 141.33/20.78 (c_in @
% 141.33/20.78 (c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ v_A @
% 141.33/20.78 (c_Message_Omsg_OCrypt @ (hAPP @ c_Public_OshrK @ v_A) @
% 141.33/20.78 (c_Message_Omsg_OMPair @ v_NA @
% 141.33/20.78 (c_Message_Omsg_OMPair @ (c_Message_Omsg_OAgent @ v_B) @
% 141.33/20.78 (c_Message_Omsg_OMPair @ (hAPP @ c_Message_Omsg_OKey @ v_K) @
% 141.33/20.78 (c_Message_Omsg_OCrypt @ (hAPP @ c_Public_OshrK @ v_B) @
% 141.33/20.78 (c_Message_Omsg_OMPair @
% 141.33/20.78 (hAPP @ c_Message_Omsg_OKey @ v_K) @
% 141.33/20.78 (c_Message_Omsg_OAgent @ v_A)))))))) @
% 141.33/20.78 (c_List_Oset @ v_evsf @ tc_Event_Oevent) @ tc_Event_Oevent))
% 141.33/20.78 | (hBOOL @
% 141.33/20.78 (c_in @
% 141.33/20.78 (c_Event_Oevent_ONotes @ c_Message_Oagent_OSpy @
% 141.33/20.78 (c_Message_Omsg_OMPair @ v_NA @
% 141.33/20.78 (c_Message_Omsg_OMPair @ v_x @
% 141.33/20.78 (hAPP @ c_Message_Omsg_OKey @ v_K)))) @
% 141.33/20.78 (c_List_Oset @ v_evsf @ tc_Event_Oevent) @ tc_Event_Oevent))
% 141.33/20.78 | ~ (hBOOL @
% 141.33/20.78 (c_in @ (hAPP @ c_Message_Omsg_OKey @ v_K) @
% 141.33/20.78 (c_Message_Oanalz @
% 141.33/20.78 (c_Event_Oknows @ c_Message_Oagent_OSpy @ v_evsf)) @
% 141.33/20.78 tc_Message_Omsg)))),
% 141.33/20.78 inference('cnf', [status(esa)], [zf_stmt_1])).
% 141.33/20.78 thf(cls_insertCI_0, axiom,
% 141.33/20.78 (( hBOOL @ ( c_in @ V_a @ ( c_Set_Oinsert @ V_b @ V_B @ T_a ) @ T_a ) ) |
% 141.33/20.78 ( ~( hBOOL @ ( c_in @ V_a @ V_B @ T_a ) ) ))).
% 141.33/20.78 thf(zip_derived_cl391, plain,
% 141.33/20.78 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 141.33/20.78 ( (hBOOL @ (c_in @ X0 @ (c_Set_Oinsert @ X1 @ X2 @ X3) @ X3))
% 141.33/20.78 | ~ (hBOOL @ (c_in @ X0 @ X2 @ X3)))),
% 141.33/20.78 inference('cnf', [status(esa)], [cls_insertCI_0])).
% 141.33/20.78 thf(cls_conjecture_5, conjecture,
% 141.33/20.78 (hBOOL @
% 141.33/20.78 ( c_in @
% 141.33/20.78 ( c_Event_Oevent_ONotes @
% 141.33/20.78 c_Message_Oagent_OSpy @
% 141.33/20.78 ( c_Message_Omsg_OMPair @
% 141.33/20.78 v_NA @
% 141.33/20.78 ( c_Message_Omsg_OMPair @
% 141.33/20.78 V_NB @ ( hAPP @ c_Message_Omsg_OKey @ v_K ) ) ) ) @
% 141.33/20.78 ( c_List_Oset @
% 141.33/20.78 ( c_List_Olist_OCons @
% 141.33/20.78 ( c_Event_Oevent_OSays @ c_Message_Oagent_OSpy @ v_Ba @ v_X ) @
% 141.33/20.78 v_evsf @ tc_Event_Oevent ) @
% 141.33/20.78 tc_Event_Oevent ) @
% 141.33/20.78 tc_Event_Oevent ))).
% 141.33/20.78 thf(zf_stmt_2, negated_conjecture,
% 141.33/20.78 (~( hBOOL @
% 141.33/20.78 ( c_in @
% 141.33/20.78 ( c_Event_Oevent_ONotes @
% 141.33/20.78 c_Message_Oagent_OSpy @
% 141.33/20.78 ( c_Message_Omsg_OMPair @
% 141.33/20.78 v_NA @
% 141.33/20.78 ( c_Message_Omsg_OMPair @
% 141.33/20.78 V_NB @ ( hAPP @ c_Message_Omsg_OKey @ v_K ) ) ) ) @
% 141.33/20.78 ( c_List_Oset @
% 141.33/20.78 ( c_List_Olist_OCons @
% 141.33/20.78 ( c_Event_Oevent_OSays @ c_Message_Oagent_OSpy @ v_Ba @ v_X ) @
% 141.33/20.78 v_evsf @ tc_Event_Oevent ) @
% 141.33/20.78 tc_Event_Oevent ) @
% 141.33/20.78 tc_Event_Oevent ) )),
% 141.33/20.78 inference('cnf.neg', [status(esa)], [cls_conjecture_5])).
% 141.33/20.78 thf(zip_derived_cl525, plain,
% 141.33/20.78 (![X0 : $i]:
% 141.33/20.78 ~ (hBOOL @
% 141.33/20.78 (c_in @
% 141.33/20.78 (c_Event_Oevent_ONotes @ c_Message_Oagent_OSpy @
% 141.33/20.78 (c_Message_Omsg_OMPair @ v_NA @
% 141.33/20.78 (c_Message_Omsg_OMPair @ X0 @ (hAPP @ c_Message_Omsg_OKey @ v_K)))) @
% 141.33/20.78 (c_List_Oset @
% 141.33/20.78 (c_List_Olist_OCons @
% 141.33/20.78 (c_Event_Oevent_OSays @ c_Message_Oagent_OSpy @ v_Ba @ v_X) @
% 141.33/20.78 v_evsf @ tc_Event_Oevent) @
% 141.33/20.78 tc_Event_Oevent) @
% 141.33/20.78 tc_Event_Oevent))),
% 141.33/20.78 inference('cnf', [status(esa)], [zf_stmt_2])).
% 141.33/20.78 thf(zip_derived_cl363, plain,
% 141.33/20.78 (![X0 : $i, X1 : $i, X2 : $i]:
% 141.33/20.78 ((c_List_Oset @ (c_List_Olist_OCons @ X0 @ X1 @ X2) @ X2)
% 141.33/20.78 = (c_Set_Oinsert @ X0 @ (c_List_Oset @ X1 @ X2) @ X2))),
% 141.33/20.78 inference('cnf', [status(esa)], [cls_List_Oset_Osimps_I2_J_0])).
% 141.33/20.78 thf(zip_derived_cl9974, plain,
% 141.33/20.78 (![X0 : $i]:
% 141.33/20.78 ~ (hBOOL @
% 141.33/20.78 (c_in @
% 141.33/20.78 (c_Event_Oevent_ONotes @ c_Message_Oagent_OSpy @
% 141.33/20.78 (c_Message_Omsg_OMPair @ v_NA @
% 141.33/20.78 (c_Message_Omsg_OMPair @ X0 @ (hAPP @ c_Message_Omsg_OKey @ v_K)))) @
% 141.33/20.78 (c_Set_Oinsert @
% 141.33/20.78 (c_Event_Oevent_OSays @ c_Message_Oagent_OSpy @ v_Ba @ v_X) @
% 141.33/20.78 (c_List_Oset @ v_evsf @ tc_Event_Oevent) @ tc_Event_Oevent) @
% 141.33/20.78 tc_Event_Oevent))),
% 141.33/20.78 inference('demod', [status(thm)], [zip_derived_cl525, zip_derived_cl363])).
% 141.33/20.78 thf(zip_derived_cl10139, plain,
% 141.33/20.78 (![X0 : $i]:
% 141.33/20.78 ~ (hBOOL @
% 141.33/20.78 (c_in @
% 141.33/20.78 (c_Event_Oevent_ONotes @ c_Message_Oagent_OSpy @
% 141.33/20.78 (c_Message_Omsg_OMPair @ v_NA @
% 141.33/20.78 (c_Message_Omsg_OMPair @ X0 @ (hAPP @ c_Message_Omsg_OKey @ v_K)))) @
% 141.33/20.78 (c_List_Oset @ v_evsf @ tc_Event_Oevent) @ tc_Event_Oevent))),
% 141.33/20.78 inference('s_sup-', [status(thm)],
% 141.33/20.78 [zip_derived_cl391, zip_derived_cl9974])).
% 141.33/20.78 thf(zip_derived_cl10141, plain,
% 141.33/20.78 ((~ (hBOOL @
% 141.33/20.78 (c_in @
% 141.33/20.78 (c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ v_A @
% 141.33/20.78 (c_Message_Omsg_OCrypt @ (hAPP @ c_Public_OshrK @ v_A) @
% 141.33/20.78 (c_Message_Omsg_OMPair @ v_NA @
% 141.33/20.78 (c_Message_Omsg_OMPair @ (c_Message_Omsg_OAgent @ v_B) @
% 141.33/20.78 (c_Message_Omsg_OMPair @ (hAPP @ c_Message_Omsg_OKey @ v_K) @
% 141.33/20.78 (c_Message_Omsg_OCrypt @ (hAPP @ c_Public_OshrK @ v_B) @
% 141.33/20.78 (c_Message_Omsg_OMPair @
% 141.33/20.78 (hAPP @ c_Message_Omsg_OKey @ v_K) @
% 141.33/20.78 (c_Message_Omsg_OAgent @ v_A)))))))) @
% 141.33/20.78 (c_List_Oset @ v_evsf @ tc_Event_Oevent) @ tc_Event_Oevent))
% 141.33/20.78 | ~ (hBOOL @
% 141.33/20.78 (c_in @ (hAPP @ c_Message_Omsg_OKey @ v_K) @
% 141.33/20.78 (c_Message_Oanalz @
% 141.33/20.78 (c_Event_Oknows @ c_Message_Oagent_OSpy @ v_evsf)) @
% 141.33/20.78 tc_Message_Omsg)))),
% 141.33/20.78 inference('demod', [status(thm)],
% 141.33/20.78 [zip_derived_cl527, zip_derived_cl10139])).
% 141.33/20.78 thf(cls_Fake__analz__eq_0, axiom,
% 141.33/20.78 (( ( c_Message_Osynth @
% 141.33/20.78 ( c_Message_Oanalz @ ( c_Set_Oinsert @ V_X @ V_H @ tc_Message_Omsg ) ) ) =
% 141.33/20.78 ( c_Message_Osynth @ ( c_Message_Oanalz @ V_H ) ) ) |
% 141.33/20.78 ( ~( hBOOL @
% 141.33/20.78 ( c_in @
% 141.33/20.78 V_X @ ( c_Message_Osynth @ ( c_Message_Oanalz @ V_H ) ) @
% 141.33/20.78 tc_Message_Omsg ) ) ))).
% 141.33/20.78 thf(zip_derived_cl340, plain,
% 141.33/20.78 (![X0 : $i, X1 : $i]:
% 141.33/20.78 (((c_Message_Osynth @
% 141.33/20.78 (c_Message_Oanalz @ (c_Set_Oinsert @ X1 @ X0 @ tc_Message_Omsg)))
% 141.33/20.78 = (c_Message_Osynth @ (c_Message_Oanalz @ X0)))
% 141.33/20.78 | ~ (hBOOL @
% 141.33/20.78 (c_in @ X1 @ (c_Message_Osynth @ (c_Message_Oanalz @ X0)) @
% 141.33/20.78 tc_Message_Omsg)))),
% 141.33/20.78 inference('cnf', [status(esa)], [cls_Fake__analz__eq_0])).
% 141.33/20.78 thf(cls_ComplI_0, axiom,
% 141.33/20.78 (( hBOOL @
% 141.33/20.78 ( c_in @
% 141.33/20.78 V_c @
% 141.33/20.78 ( c_HOL_Ouminus__class_Ouminus @ V_A @ ( tc_fun @ T_a @ tc_bool ) ) @
% 141.33/20.78 T_a ) ) |
% 141.33/20.78 ( hBOOL @ ( c_in @ V_c @ V_A @ T_a ) ))).
% 141.33/20.78 thf(zip_derived_cl12, plain,
% 141.33/20.78 (![X0 : $i, X1 : $i, X2 : $i]:
% 141.33/20.78 ( (hBOOL @
% 141.33/20.78 (c_in @ X0 @
% 141.33/20.78 (c_HOL_Ouminus__class_Ouminus @ X1 @ (tc_fun @ X2 @ tc_bool)) @ X2))
% 141.33/20.78 | (hBOOL @ (c_in @ X0 @ X1 @ X2)))),
% 141.33/20.78 inference('cnf', [status(esa)], [cls_ComplI_0])).
% 141.33/20.78 thf(cls_conjecture_6, conjecture,
% 141.33/20.78 (~( hBOOL @
% 141.33/20.78 ( c_in @
% 141.33/20.78 ( hAPP @ c_Message_Omsg_OKey @ v_K ) @
% 141.33/20.78 ( c_Message_Oanalz @
% 141.33/20.78 ( c_Event_Oknows @
% 141.33/20.78 c_Message_Oagent_OSpy @
% 141.33/20.78 ( c_List_Olist_OCons @
% 141.33/20.78 ( c_Event_Oevent_OSays @ c_Message_Oagent_OSpy @ v_Ba @ v_X ) @
% 141.33/20.78 v_evsf @ tc_Event_Oevent ) ) ) @
% 141.33/20.79 tc_Message_Omsg ) ))).
% 141.33/20.79 thf(zf_stmt_3, negated_conjecture,
% 141.33/20.79 (hBOOL @
% 141.33/20.79 ( c_in @
% 141.33/20.79 ( hAPP @ c_Message_Omsg_OKey @ v_K ) @
% 141.33/20.79 ( c_Message_Oanalz @
% 141.33/20.79 ( c_Event_Oknows @
% 141.33/20.79 c_Message_Oagent_OSpy @
% 141.33/20.79 ( c_List_Olist_OCons @
% 141.33/20.79 ( c_Event_Oevent_OSays @ c_Message_Oagent_OSpy @ v_Ba @ v_X ) @
% 141.33/20.79 v_evsf @ tc_Event_Oevent ) ) ) @
% 141.33/20.79 tc_Message_Omsg )),
% 141.33/20.79 inference('cnf.neg', [status(esa)], [cls_conjecture_6])).
% 141.33/20.79 thf(zip_derived_cl526, plain,
% 141.33/20.79 ( (hBOOL @
% 141.33/20.79 (c_in @ (hAPP @ c_Message_Omsg_OKey @ v_K) @
% 141.33/20.79 (c_Message_Oanalz @
% 141.33/20.79 (c_Event_Oknows @ c_Message_Oagent_OSpy @
% 141.33/20.79 (c_List_Olist_OCons @
% 141.33/20.79 (c_Event_Oevent_OSays @ c_Message_Oagent_OSpy @ v_Ba @ v_X) @
% 141.33/20.79 v_evsf @ tc_Event_Oevent))) @
% 141.33/20.79 tc_Message_Omsg))),
% 141.33/20.79 inference('cnf', [status(esa)], [zf_stmt_3])).
% 141.33/20.79 thf(cls_synth_OInj_0, axiom,
% 141.33/20.79 (( hBOOL @ ( c_in @ V_X @ ( c_Message_Osynth @ V_H ) @ tc_Message_Omsg ) ) |
% 141.33/20.79 ( ~( hBOOL @ ( c_in @ V_X @ V_H @ tc_Message_Omsg ) ) ))).
% 141.33/20.79 thf(zip_derived_cl501, plain,
% 141.33/20.79 (![X0 : $i, X1 : $i]:
% 141.33/20.79 ( (hBOOL @ (c_in @ X0 @ (c_Message_Osynth @ X1) @ tc_Message_Omsg))
% 141.33/20.79 | ~ (hBOOL @ (c_in @ X0 @ X1 @ tc_Message_Omsg)))),
% 141.33/20.79 inference('cnf', [status(esa)], [cls_synth_OInj_0])).
% 141.33/20.79 thf(cls_ComplD_0, axiom,
% 141.33/20.79 (( ~( hBOOL @ ( c_in @ V_c @ V_A @ T_a ) ) ) |
% 141.33/20.79 ( ~( hBOOL @
% 141.33/20.79 ( c_in @
% 141.33/20.79 V_c @
% 141.33/20.79 ( c_HOL_Ouminus__class_Ouminus @ V_A @ ( tc_fun @ T_a @ tc_bool ) ) @
% 141.33/20.79 T_a ) ) ))).
% 141.33/20.79 thf(zip_derived_cl11, plain,
% 141.33/20.79 (![X0 : $i, X1 : $i, X2 : $i]:
% 141.33/20.79 (~ (hBOOL @ (c_in @ X0 @ X1 @ X2))
% 141.33/20.79 | ~ (hBOOL @
% 141.33/20.79 (c_in @ X0 @
% 141.33/20.79 (c_HOL_Ouminus__class_Ouminus @ X1 @ (tc_fun @ X2 @ tc_bool)) @
% 141.33/20.79 X2)))),
% 141.33/20.79 inference('cnf', [status(esa)], [cls_ComplD_0])).
% 141.33/20.79 thf(zip_derived_cl2522, plain,
% 141.33/20.79 (![X0 : $i, X1 : $i]:
% 141.33/20.79 (~ (hBOOL @ (c_in @ X1 @ X0 @ tc_Message_Omsg))
% 141.33/20.79 | ~ (hBOOL @
% 141.33/20.79 (c_in @ X1 @
% 141.33/20.79 (c_HOL_Ouminus__class_Ouminus @ (c_Message_Osynth @ X0) @
% 141.33/20.79 (tc_fun @ tc_Message_Omsg @ tc_bool)) @
% 141.33/20.79 tc_Message_Omsg)))),
% 141.33/20.79 inference('s_sup-', [status(thm)], [zip_derived_cl501, zip_derived_cl11])).
% 141.33/20.79 thf(zip_derived_cl2538, plain,
% 141.33/20.79 (~ (hBOOL @
% 141.33/20.79 (c_in @ (hAPP @ c_Message_Omsg_OKey @ v_K) @
% 141.33/20.79 (c_HOL_Ouminus__class_Ouminus @
% 141.33/20.79 (c_Message_Osynth @
% 141.33/20.79 (c_Message_Oanalz @
% 141.33/20.79 (c_Event_Oknows @ c_Message_Oagent_OSpy @
% 141.33/20.79 (c_List_Olist_OCons @
% 141.33/20.79 (c_Event_Oevent_OSays @ c_Message_Oagent_OSpy @ v_Ba @ v_X) @
% 141.33/20.79 v_evsf @ tc_Event_Oevent)))) @
% 141.33/20.79 (tc_fun @ tc_Message_Omsg @ tc_bool)) @
% 141.33/20.79 tc_Message_Omsg))),
% 141.33/20.79 inference('s_sup-', [status(thm)],
% 141.33/20.79 [zip_derived_cl526, zip_derived_cl2522])).
% 141.33/20.79 thf(zip_derived_cl2755, plain,
% 141.33/20.79 ( (hBOOL @
% 141.33/20.79 (c_in @ (hAPP @ c_Message_Omsg_OKey @ v_K) @
% 141.33/20.79 (c_Message_Osynth @
% 141.33/20.79 (c_Message_Oanalz @
% 141.33/20.79 (c_Event_Oknows @ c_Message_Oagent_OSpy @
% 141.33/20.79 (c_List_Olist_OCons @
% 141.33/20.79 (c_Event_Oevent_OSays @ c_Message_Oagent_OSpy @ v_Ba @ v_X) @
% 141.33/20.79 v_evsf @ tc_Event_Oevent)))) @
% 141.33/20.79 tc_Message_Omsg))),
% 141.33/20.79 inference('s_sup-', [status(thm)], [zip_derived_cl12, zip_derived_cl2538])).
% 141.33/20.79 thf(cls_mem__def_0, axiom,
% 141.33/20.79 (( hBOOL @ ( hAPP @ V_S @ V_x ) ) |
% 141.33/20.79 ( ~( hBOOL @ ( c_in @ V_x @ V_S @ T_a ) ) ))).
% 141.33/20.79 thf(zip_derived_cl489, plain,
% 141.33/20.79 (![X0 : $i, X1 : $i, X2 : $i]:
% 141.33/20.79 ( (hBOOL @ (hAPP @ X0 @ X1)) | ~ (hBOOL @ (c_in @ X1 @ X0 @ X2)))),
% 141.33/20.79 inference('cnf', [status(esa)], [cls_mem__def_0])).
% 141.33/20.79 thf(zip_derived_cl2855, plain,
% 141.33/20.79 ( (hBOOL @
% 141.33/20.79 (hAPP @
% 141.33/20.79 (c_Message_Osynth @
% 141.33/20.79 (c_Message_Oanalz @
% 141.33/20.79 (c_Event_Oknows @ c_Message_Oagent_OSpy @
% 141.33/20.79 (c_List_Olist_OCons @
% 141.33/20.79 (c_Event_Oevent_OSays @ c_Message_Oagent_OSpy @ v_Ba @ v_X) @
% 141.33/20.79 v_evsf @ tc_Event_Oevent)))) @
% 141.33/20.79 (hAPP @ c_Message_Omsg_OKey @ v_K)))),
% 141.33/20.79 inference('s_sup-', [status(thm)],
% 141.33/20.79 [zip_derived_cl2755, zip_derived_cl489])).
% 141.33/20.79 thf(cls_knows__Spy__Says_0, axiom,
% 141.33/20.79 (( c_Event_Oknows @
% 141.33/20.79 c_Message_Oagent_OSpy @
% 141.33/20.79 ( c_List_Olist_OCons @
% 141.33/20.79 ( c_Event_Oevent_OSays @ V_A @ V_B @ V_X ) @ V_evs @ tc_Event_Oevent ) ) =
% 141.33/20.79 ( c_Set_Oinsert @
% 141.33/20.79 V_X @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ V_evs ) @
% 141.33/20.79 tc_Message_Omsg ))).
% 141.33/20.79 thf(zip_derived_cl332, plain,
% 141.33/20.79 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 141.33/20.79 ((c_Event_Oknows @ c_Message_Oagent_OSpy @
% 141.33/20.79 (c_List_Olist_OCons @ (c_Event_Oevent_OSays @ X2 @ X3 @ X0) @ X1 @
% 141.33/20.79 tc_Event_Oevent))
% 141.33/20.79 = (c_Set_Oinsert @ X0 @
% 141.33/20.79 (c_Event_Oknows @ c_Message_Oagent_OSpy @ X1) @ tc_Message_Omsg))),
% 141.33/20.79 inference('cnf', [status(esa)], [cls_knows__Spy__Says_0])).
% 141.33/20.79 thf(zip_derived_cl11456, plain,
% 141.33/20.79 ( (hBOOL @
% 141.33/20.79 (hAPP @
% 141.33/20.79 (c_Message_Osynth @
% 141.33/20.79 (c_Message_Oanalz @
% 141.33/20.79 (c_Set_Oinsert @ v_X @
% 141.33/20.79 (c_Event_Oknows @ c_Message_Oagent_OSpy @ v_evsf) @
% 141.33/20.79 tc_Message_Omsg))) @
% 141.33/20.79 (hAPP @ c_Message_Omsg_OKey @ v_K)))),
% 141.33/20.79 inference('demod', [status(thm)], [zip_derived_cl2855, zip_derived_cl332])).
% 141.33/20.79 thf(zip_derived_cl11505, plain,
% 141.33/20.79 ((~ (hBOOL @
% 141.33/20.79 (c_in @ v_X @
% 141.33/20.79 (c_Message_Osynth @
% 141.33/20.79 (c_Message_Oanalz @
% 141.33/20.79 (c_Event_Oknows @ c_Message_Oagent_OSpy @ v_evsf))) @
% 141.33/20.79 tc_Message_Omsg))
% 141.33/20.79 | (hBOOL @
% 141.33/20.79 (hAPP @
% 141.33/20.79 (c_Message_Osynth @
% 141.33/20.79 (c_Message_Oanalz @
% 141.33/20.79 (c_Event_Oknows @ c_Message_Oagent_OSpy @ v_evsf))) @
% 141.33/20.79 (hAPP @ c_Message_Omsg_OKey @ v_K))))),
% 141.33/20.79 inference('s_sup+', [status(thm)],
% 141.33/20.79 [zip_derived_cl340, zip_derived_cl11456])).
% 141.33/20.79 thf(cls_conjecture_3, conjecture,
% 141.33/20.79 (~( hBOOL @
% 141.33/20.79 ( c_in @
% 141.33/20.79 v_X @
% 141.33/20.79 ( c_Message_Osynth @
% 141.33/20.79 ( c_Message_Oanalz @
% 141.33/20.79 ( c_Event_Oknows @ c_Message_Oagent_OSpy @ v_evsf ) ) ) @
% 141.33/20.79 tc_Message_Omsg ) ))).
% 141.33/20.79 thf(zf_stmt_4, negated_conjecture,
% 141.33/20.79 (hBOOL @
% 141.33/20.79 ( c_in @
% 141.33/20.79 v_X @
% 141.33/20.79 ( c_Message_Osynth @
% 141.33/20.79 ( c_Message_Oanalz @
% 141.33/20.79 ( c_Event_Oknows @ c_Message_Oagent_OSpy @ v_evsf ) ) ) @
% 141.33/20.79 tc_Message_Omsg )),
% 141.33/20.79 inference('cnf.neg', [status(esa)], [cls_conjecture_3])).
% 141.33/20.79 thf(zip_derived_cl523, plain,
% 141.33/20.79 ( (hBOOL @
% 141.33/20.79 (c_in @ v_X @
% 141.33/20.79 (c_Message_Osynth @
% 141.33/20.79 (c_Message_Oanalz @
% 141.33/20.79 (c_Event_Oknows @ c_Message_Oagent_OSpy @ v_evsf))) @
% 141.33/20.79 tc_Message_Omsg))),
% 141.33/20.79 inference('cnf', [status(esa)], [zf_stmt_4])).
% 141.33/20.79 thf(zip_derived_cl489, plain,
% 141.33/20.79 (![X0 : $i, X1 : $i, X2 : $i]:
% 141.33/20.79 ( (hBOOL @ (hAPP @ X0 @ X1)) | ~ (hBOOL @ (c_in @ X1 @ X0 @ X2)))),
% 141.33/20.79 inference('cnf', [status(esa)], [cls_mem__def_0])).
% 141.33/20.79 thf(zip_derived_cl2865, plain,
% 141.33/20.79 ( (hBOOL @
% 141.33/20.79 (hAPP @
% 141.33/20.79 (c_Message_Osynth @
% 141.33/20.79 (c_Message_Oanalz @
% 141.33/20.79 (c_Event_Oknows @ c_Message_Oagent_OSpy @ v_evsf))) @
% 141.33/20.79 v_X))),
% 141.33/20.79 inference('s_sup-', [status(thm)], [zip_derived_cl523, zip_derived_cl489])).
% 141.33/20.79 thf(zip_derived_cl488, plain,
% 141.33/20.79 (![X0 : $i, X1 : $i, X2 : $i]:
% 141.33/20.79 ( (hBOOL @ (c_in @ X0 @ X1 @ X2)) | ~ (hBOOL @ (hAPP @ X1 @ X0)))),
% 141.33/20.79 inference('cnf', [status(esa)], [cls_mem__def_1])).
% 141.33/20.79 thf(zip_derived_cl3167, plain,
% 141.33/20.79 (![X0 : $i]:
% 141.33/20.79 (hBOOL @
% 141.33/20.79 (c_in @ v_X @
% 141.33/20.79 (c_Message_Osynth @
% 141.33/20.79 (c_Message_Oanalz @
% 141.33/20.79 (c_Event_Oknows @ c_Message_Oagent_OSpy @ v_evsf))) @
% 141.33/20.79 X0))),
% 141.33/20.79 inference('s_sup-', [status(thm)],
% 141.33/20.79 [zip_derived_cl2865, zip_derived_cl488])).
% 141.33/20.79 thf(zip_derived_cl11508, plain,
% 141.33/20.79 ( (hBOOL @
% 141.33/20.79 (hAPP @
% 141.33/20.79 (c_Message_Osynth @
% 141.33/20.79 (c_Message_Oanalz @
% 141.33/20.79 (c_Event_Oknows @ c_Message_Oagent_OSpy @ v_evsf))) @
% 141.33/20.79 (hAPP @ c_Message_Omsg_OKey @ v_K)))),
% 141.33/20.79 inference('demod', [status(thm)],
% 141.33/20.79 [zip_derived_cl11505, zip_derived_cl3167])).
% 141.33/20.79 thf(zip_derived_cl488, plain,
% 141.33/20.79 (![X0 : $i, X1 : $i, X2 : $i]:
% 141.33/20.79 ( (hBOOL @ (c_in @ X0 @ X1 @ X2)) | ~ (hBOOL @ (hAPP @ X1 @ X0)))),
% 141.33/20.79 inference('cnf', [status(esa)], [cls_mem__def_1])).
% 141.33/20.79 thf(zip_derived_cl11616, plain,
% 141.33/20.79 (![X0 : $i]:
% 141.33/20.79 (hBOOL @
% 141.33/20.79 (c_in @ (hAPP @ c_Message_Omsg_OKey @ v_K) @
% 141.33/20.79 (c_Message_Osynth @
% 141.33/20.79 (c_Message_Oanalz @
% 141.33/20.79 (c_Event_Oknows @ c_Message_Oagent_OSpy @ v_evsf))) @
% 141.33/20.79 X0))),
% 141.33/20.79 inference('s_sup-', [status(thm)],
% 141.33/20.79 [zip_derived_cl11508, zip_derived_cl488])).
% 141.33/20.79 thf(cls_Key__synth_0, axiom,
% 141.33/20.79 (( hBOOL @
% 141.33/20.79 ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ V_K ) @ V_H @ tc_Message_Omsg ) ) |
% 141.33/20.79 ( ~( hBOOL @
% 141.33/20.79 ( c_in @
% 141.33/20.79 ( hAPP @ c_Message_Omsg_OKey @ V_K ) @
% 141.33/20.79 ( c_Message_Osynth @ V_H ) @ tc_Message_Omsg ) ) ))).
% 141.33/20.79 thf(zip_derived_cl464, plain,
% 141.33/20.79 (![X0 : $i, X1 : $i]:
% 141.33/20.79 ( (hBOOL @
% 141.33/20.79 (c_in @ (hAPP @ c_Message_Omsg_OKey @ X0) @ X1 @ tc_Message_Omsg))
% 141.33/20.79 | ~ (hBOOL @
% 141.33/20.79 (c_in @ (hAPP @ c_Message_Omsg_OKey @ X0) @
% 141.33/20.79 (c_Message_Osynth @ X1) @ tc_Message_Omsg)))),
% 141.33/20.79 inference('cnf', [status(esa)], [cls_Key__synth_0])).
% 141.33/20.79 thf(zip_derived_cl11650, plain,
% 141.33/20.79 ( (hBOOL @
% 141.33/20.79 (c_in @ (hAPP @ c_Message_Omsg_OKey @ v_K) @
% 141.33/20.79 (c_Message_Oanalz @ (c_Event_Oknows @ c_Message_Oagent_OSpy @ v_evsf)) @
% 141.33/20.79 tc_Message_Omsg))),
% 141.33/20.79 inference('s_sup-', [status(thm)],
% 141.33/20.79 [zip_derived_cl11616, zip_derived_cl464])).
% 141.33/20.79 thf(zip_derived_cl11662, plain,
% 141.33/20.79 (~ (hBOOL @
% 141.33/20.79 (c_in @
% 141.33/20.79 (c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ v_A @
% 141.33/20.79 (c_Message_Omsg_OCrypt @ (hAPP @ c_Public_OshrK @ v_A) @
% 141.33/20.79 (c_Message_Omsg_OMPair @ v_NA @
% 141.33/20.79 (c_Message_Omsg_OMPair @ (c_Message_Omsg_OAgent @ v_B) @
% 141.33/20.79 (c_Message_Omsg_OMPair @ (hAPP @ c_Message_Omsg_OKey @ v_K) @
% 141.33/20.79 (c_Message_Omsg_OCrypt @ (hAPP @ c_Public_OshrK @ v_B) @
% 141.33/20.79 (c_Message_Omsg_OMPair @ (hAPP @ c_Message_Omsg_OKey @ v_K) @
% 141.33/20.79 (c_Message_Omsg_OAgent @ v_A)))))))) @
% 141.33/20.79 (c_List_Oset @ v_evsf @ tc_Event_Oevent) @ tc_Event_Oevent))),
% 141.33/20.79 inference('demod', [status(thm)],
% 141.33/20.79 [zip_derived_cl10141, zip_derived_cl11650])).
% 141.33/20.79 thf(zip_derived_cl77619, plain,
% 141.33/20.79 (((c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ v_A @
% 141.33/20.79 (c_Message_Omsg_OCrypt @ (hAPP @ c_Public_OshrK @ v_A) @
% 141.33/20.79 (c_Message_Omsg_OMPair @ v_NA @
% 141.33/20.79 (c_Message_Omsg_OMPair @ (c_Message_Omsg_OAgent @ v_B) @
% 141.33/20.79 (c_Message_Omsg_OMPair @ (hAPP @ c_Message_Omsg_OKey @ v_K) @
% 141.33/20.79 (c_Message_Omsg_OCrypt @ (hAPP @ c_Public_OshrK @ v_B) @
% 141.33/20.79 (c_Message_Omsg_OMPair @ (hAPP @ c_Message_Omsg_OKey @ v_K) @
% 141.33/20.79 (c_Message_Omsg_OAgent @ v_A))))))))
% 141.33/20.79 = (c_Event_Oevent_OSays @ c_Message_Oagent_OSpy @ v_Ba @ v_X))),
% 141.33/20.79 inference('clc', [status(thm)],
% 141.33/20.79 [zip_derived_cl34984, zip_derived_cl11662])).
% 141.33/20.79 thf(cls_event_Osimps_I1_J_0, axiom,
% 141.33/20.79 (( ( c_Event_Oevent_OSays @ V_agent1 @ V_agent2 @ V_msg ) !=
% 141.33/20.79 ( c_Event_Oevent_OSays @ V_agent1_H @ V_agent2_H @ V_msg_H ) ) |
% 141.33/20.79 ( ( V_agent1 ) = ( V_agent1_H ) ))).
% 141.33/20.79 thf(zip_derived_cl449, plain,
% 141.33/20.79 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 141.33/20.79 (((c_Event_Oevent_OSays @ X3 @ X4 @ X5)
% 141.33/20.79 != (c_Event_Oevent_OSays @ X0 @ X1 @ X2))
% 141.33/20.79 | ((X3) = (X0)))),
% 141.33/20.79 inference('cnf', [status(esa)], [cls_event_Osimps_I1_J_0])).
% 141.33/20.79 thf(zip_derived_cl77636, plain,
% 141.33/20.79 (![X0 : $i, X1 : $i, X2 : $i]:
% 141.33/20.79 (((c_Event_Oevent_OSays @ X2 @ X1 @ X0)
% 141.33/20.79 != (c_Event_Oevent_OSays @ c_Message_Oagent_OSpy @ v_Ba @ v_X))
% 141.33/20.79 | ((X2) = (c_Message_Oagent_OServer)))),
% 141.33/20.79 inference('s_sup-', [status(thm)],
% 141.33/20.79 [zip_derived_cl77619, zip_derived_cl449])).
% 141.33/20.79 thf(zip_derived_cl77656, plain,
% 141.33/20.79 (((c_Message_Oagent_OSpy) = (c_Message_Oagent_OServer))),
% 141.33/20.79 inference('eq_res', [status(thm)], [zip_derived_cl77636])).
% 141.33/20.79 thf(cls_agent_Osimps_I4_J_0, axiom,
% 141.33/20.79 (( c_Message_Oagent_OServer ) != ( c_Message_Oagent_OSpy ))).
% 141.33/20.79 thf(zip_derived_cl467, plain,
% 141.33/20.79 (((c_Message_Oagent_OServer) != (c_Message_Oagent_OSpy))),
% 141.33/20.79 inference('cnf', [status(esa)], [cls_agent_Osimps_I4_J_0])).
% 141.33/20.79 thf(zip_derived_cl77657, plain, ($false),
% 141.33/20.79 inference('simplify_reflect-', [status(thm)],
% 141.33/20.79 [zip_derived_cl77656, zip_derived_cl467])).
% 141.33/20.79
% 141.33/20.79 % SZS output end Refutation
% 141.33/20.79
% 141.33/20.79
% 141.33/20.79 % Terminating...
% 141.45/20.82 % Runner terminated.
% 141.45/20.83 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------