%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SWV762-1 : 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.WB06w8gGWQ true
% Computer : n018.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 05:01:56 PM UTC 2025
% Result : Unsatisfiable 189.16s 27.88s
% Output : Refutation 189.16s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11 % Problem : SWV762-1 : TPTP v9.2.0. Released v4.1.0.
% 0.10/0.12 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.WB06w8gGWQ true
% 0.11/0.31 % Computer : n018.cluster.edu
% 0.11/0.31 % Model : x86_64 x86_64
% 0.11/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.31 % Memory : 8042.1875MB
% 0.11/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.31 % CPULimit : 300
% 0.11/0.31 % WCLimit : 300
% 0.11/0.31 % DateTime : Wed Oct 1 12:34:53 EDT 2025
% 0.11/0.31 % CPUTime :
% 0.11/0.31 % Running portfolio for 300 s
% 0.11/0.31 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/0.32 % Number of cores: 8
% 0.16/0.32 % Python version: Python 3.6.8
% 0.16/0.32 % Running in FO mode
% 0.51/0.62 % Total configuration time : 435
% 0.51/0.62 % Estimated wc time : 1092
% 0.51/0.62 % Estimated cpu time (7 cpus) : 156.0
% 0.52/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.52/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.52/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.52/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.52/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.52/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.52/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 189.16/27.88 % Solved by fo/fo6_bce.sh.
% 189.16/27.88 % BCE start: 557
% 189.16/27.88 % BCE eliminated: 2
% 189.16/27.88 % PE start: 555
% 189.16/27.88 logic: eq
% 189.16/27.88 % PE eliminated: 1
% 189.16/27.88 % done 6927 iterations in 27.111s
% 189.16/27.88 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 189.16/27.88 % SZS output start Refutation
% 189.16/27.88 thf(c_Event_Oknows_type, type, c_Event_Oknows: $i > $i > $i).
% 189.16/27.88 thf(c_Message_Omsg_OMPair_type, type, c_Message_Omsg_OMPair: $i > $i > $i).
% 189.16/27.88 thf(c_Public_OshrK_type, type, c_Public_OshrK: $i).
% 189.16/27.88 thf(v_K_type, type, v_K: $i).
% 189.16/27.88 thf(v_B_type, type, v_B: $i).
% 189.16/27.88 thf(c_Event_Oevent_OSays_type, type, c_Event_Oevent_OSays: $i > $i > $i > $i).
% 189.16/27.88 thf(c_Message_Omsg_OAgent_type, type, c_Message_Omsg_OAgent: $i > $i).
% 189.16/27.88 thf(c_Message_Omsg_ONonce_type, type, c_Message_Omsg_ONonce: $i > $i).
% 189.16/27.88 thf(c_in_type, type, c_in: $i > $i > $i > $i).
% 189.16/27.88 thf(v_X_type, type, v_X: $i).
% 189.16/27.88 thf(c_Set_Oinsert_type, type, c_Set_Oinsert: $i > $i > $i > $i).
% 189.16/27.88 thf(tc_Message_Omsg_type, type, tc_Message_Omsg: $i).
% 189.16/27.88 thf(tc_fun_type, type, tc_fun: $i > $i > $i).
% 189.16/27.88 thf(c_Message_Oagent_OServer_type, type, c_Message_Oagent_OServer: $i).
% 189.16/27.88 thf(v_evsf_type, type, v_evsf: $i).
% 189.16/27.88 thf(c_lessequals_type, type, c_lessequals: $i > $i > $i > $o).
% 189.16/27.88 thf(c_List_Oset_type, type, c_List_Oset: $i > $i > $i).
% 189.16/27.88 thf(v_NA_type, type, v_NA: $i).
% 189.16/27.88 thf(v_Ba_type, type, v_Ba: $i).
% 189.16/27.88 thf(v_x_type, type, v_x: $i).
% 189.16/27.88 thf(v_Xa_type, type, v_Xa: $i).
% 189.16/27.88 thf(c_Message_Omsg_OCrypt_type, type, c_Message_Omsg_OCrypt: $i > $i > $i).
% 189.16/27.88 thf(c_Message_Oagent_OSpy_type, type, c_Message_Oagent_OSpy: $i).
% 189.16/27.88 thf(hBOOL_type, type, hBOOL: $i > $o).
% 189.16/27.88 thf(v_A_type, type, v_A: $i).
% 189.16/27.88 thf(c_List_Olist_OCons_type, type, c_List_Olist_OCons: $i > $i > $i > $i).
% 189.16/27.88 thf(hAPP_type, type, hAPP: $i > $i > $i).
% 189.16/27.88 thf(c_Message_Omsg_OKey_type, type, c_Message_Omsg_OKey: $i).
% 189.16/27.88 thf(tc_bool_type, type, tc_bool: $i).
% 189.16/27.88 thf(tc_Event_Oevent_type, type, tc_Event_Oevent: $i).
% 189.16/27.88 thf(v_NB_type, type, v_NB: $i).
% 189.16/27.88 thf(c_Lattices_Oupper__semilattice__class_Osup_type, type, c_Lattices_Oupper__semilattice__class_Osup:
% 189.16/27.88 $i > $i > $i > $i).
% 189.16/27.88 thf(c_Message_Oanalz_type, type, c_Message_Oanalz: $i > $i).
% 189.16/27.88 thf(c_Message_Oparts_type, type, c_Message_Oparts: $i > $i).
% 189.16/27.88 thf(c_Message_Osynth_type, type, c_Message_Osynth: $i > $i).
% 189.16/27.88 thf(cls_conjecture_3, conjecture,
% 189.16/27.88 (~( hBOOL @
% 189.16/27.88 ( c_in @
% 189.16/27.88 ( c_Event_Oevent_OSays @
% 189.16/27.88 c_Message_Oagent_OServer @ v_A @
% 189.16/27.88 ( c_Message_Omsg_OCrypt @
% 189.16/27.88 ( hAPP @ c_Public_OshrK @ v_A ) @
% 189.16/27.88 ( c_Message_Omsg_OMPair @
% 189.16/27.88 v_NA @
% 189.16/27.88 ( c_Message_Omsg_OMPair @
% 189.16/27.88 ( c_Message_Omsg_OAgent @ v_B ) @
% 189.16/27.88 ( c_Message_Omsg_OMPair @
% 189.16/27.88 ( hAPP @ c_Message_Omsg_OKey @ v_K ) @ v_X ) ) ) ) ) @
% 189.16/27.88 ( c_List_Oset @
% 189.16/27.88 ( c_List_Olist_OCons @
% 189.16/27.88 ( c_Event_Oevent_OSays @ c_Message_Oagent_OSpy @ v_Ba @ v_Xa ) @
% 189.16/27.88 v_evsf @ tc_Event_Oevent ) @
% 189.16/27.88 tc_Event_Oevent ) @
% 189.16/27.88 tc_Event_Oevent ) ))).
% 189.16/27.88 thf(zf_stmt_0, negated_conjecture,
% 189.16/27.88 (hBOOL @
% 189.16/27.88 ( c_in @
% 189.16/27.88 ( c_Event_Oevent_OSays @
% 189.16/27.88 c_Message_Oagent_OServer @ v_A @
% 189.16/27.88 ( c_Message_Omsg_OCrypt @
% 189.16/27.88 ( hAPP @ c_Public_OshrK @ v_A ) @
% 189.16/27.88 ( c_Message_Omsg_OMPair @
% 189.16/27.88 v_NA @
% 189.16/27.88 ( c_Message_Omsg_OMPair @
% 189.16/27.88 ( c_Message_Omsg_OAgent @ v_B ) @
% 189.16/27.88 ( c_Message_Omsg_OMPair @
% 189.16/27.88 ( hAPP @ c_Message_Omsg_OKey @ v_K ) @ v_X ) ) ) ) ) @
% 189.16/27.88 ( c_List_Oset @
% 189.16/27.88 ( c_List_Olist_OCons @
% 189.16/27.88 ( c_Event_Oevent_OSays @ c_Message_Oagent_OSpy @ v_Ba @ v_Xa ) @
% 189.16/27.88 v_evsf @ tc_Event_Oevent ) @
% 189.16/27.88 tc_Event_Oevent ) @
% 189.16/27.88 tc_Event_Oevent )),
% 189.16/27.88 inference('cnf.neg', [status(esa)], [cls_conjecture_3])).
% 189.16/27.88 thf(zip_derived_cl531, plain,
% 189.16/27.88 ( (hBOOL @
% 189.16/27.88 (c_in @
% 189.16/27.88 (c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ v_A @
% 189.16/27.88 (c_Message_Omsg_OCrypt @ (hAPP @ c_Public_OshrK @ v_A) @
% 189.16/27.88 (c_Message_Omsg_OMPair @ v_NA @
% 189.16/27.88 (c_Message_Omsg_OMPair @ (c_Message_Omsg_OAgent @ v_B) @
% 189.16/27.88 (c_Message_Omsg_OMPair @ (hAPP @ c_Message_Omsg_OKey @ v_K) @ v_X))))) @
% 189.16/27.88 (c_List_Oset @
% 189.16/27.88 (c_List_Olist_OCons @
% 189.16/27.88 (c_Event_Oevent_OSays @ c_Message_Oagent_OSpy @ v_Ba @ v_Xa) @
% 189.16/27.88 v_evsf @ tc_Event_Oevent) @
% 189.16/27.88 tc_Event_Oevent) @
% 189.16/27.88 tc_Event_Oevent))),
% 189.16/27.88 inference('cnf', [status(esa)], [zf_stmt_0])).
% 189.16/27.88 thf(cls_mem__def_0, axiom,
% 189.16/27.88 (( hBOOL @ ( hAPP @ V_S @ V_x ) ) |
% 189.16/27.88 ( ~( hBOOL @ ( c_in @ V_x @ V_S @ T_a ) ) ))).
% 189.16/27.88 thf(zip_derived_cl491, plain,
% 189.16/27.88 (![X0 : $i, X1 : $i, X2 : $i]:
% 189.16/27.88 ( (hBOOL @ (hAPP @ X0 @ X1)) | ~ (hBOOL @ (c_in @ X1 @ X0 @ X2)))),
% 189.16/27.88 inference('cnf', [status(esa)], [cls_mem__def_0])).
% 189.16/27.88 thf(zip_derived_cl2890, plain,
% 189.16/27.88 ( (hBOOL @
% 189.16/27.88 (hAPP @
% 189.16/27.88 (c_List_Oset @
% 189.16/27.88 (c_List_Olist_OCons @
% 189.16/27.88 (c_Event_Oevent_OSays @ c_Message_Oagent_OSpy @ v_Ba @ v_Xa) @
% 189.16/27.88 v_evsf @ tc_Event_Oevent) @
% 189.16/27.88 tc_Event_Oevent) @
% 189.16/27.88 (c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ v_A @
% 189.16/27.88 (c_Message_Omsg_OCrypt @ (hAPP @ c_Public_OshrK @ v_A) @
% 189.16/27.88 (c_Message_Omsg_OMPair @ v_NA @
% 189.16/27.88 (c_Message_Omsg_OMPair @ (c_Message_Omsg_OAgent @ v_B) @
% 189.16/27.88 (c_Message_Omsg_OMPair @ (hAPP @ c_Message_Omsg_OKey @ v_K) @ v_X)))))))),
% 189.16/27.88 inference('s_sup-', [status(thm)], [zip_derived_cl531, zip_derived_cl491])).
% 189.16/27.88 thf(cls_List_Oset_Osimps_I2_J_0, axiom,
% 189.16/27.88 (( c_List_Oset @ ( c_List_Olist_OCons @ V_x @ V_xs @ T_a ) @ T_a ) =
% 189.16/27.88 ( c_Set_Oinsert @ V_x @ ( c_List_Oset @ V_xs @ T_a ) @ T_a ))).
% 189.16/27.88 thf(zip_derived_cl191, plain,
% 189.16/27.88 (![X0 : $i, X1 : $i, X2 : $i]:
% 189.16/27.88 ((c_List_Oset @ (c_List_Olist_OCons @ X0 @ X1 @ X2) @ X2)
% 189.16/27.88 = (c_Set_Oinsert @ X0 @ (c_List_Oset @ X1 @ X2) @ X2))),
% 189.16/27.88 inference('cnf', [status(esa)], [cls_List_Oset_Osimps_I2_J_0])).
% 189.16/27.88 thf(zip_derived_cl5755, plain,
% 189.16/27.88 ( (hBOOL @
% 189.16/27.88 (hAPP @
% 189.16/27.88 (c_Set_Oinsert @
% 189.16/27.88 (c_Event_Oevent_OSays @ c_Message_Oagent_OSpy @ v_Ba @ v_Xa) @
% 189.16/27.88 (c_List_Oset @ v_evsf @ tc_Event_Oevent) @ tc_Event_Oevent) @
% 189.16/27.88 (c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ v_A @
% 189.16/27.88 (c_Message_Omsg_OCrypt @ (hAPP @ c_Public_OshrK @ v_A) @
% 189.16/27.88 (c_Message_Omsg_OMPair @ v_NA @
% 189.16/27.88 (c_Message_Omsg_OMPair @ (c_Message_Omsg_OAgent @ v_B) @
% 189.16/27.88 (c_Message_Omsg_OMPair @ (hAPP @ c_Message_Omsg_OKey @ v_K) @ v_X)))))))),
% 189.16/27.88 inference('demod', [status(thm)], [zip_derived_cl2890, zip_derived_cl191])).
% 189.16/27.88 thf(cls_insert__code_0, axiom,
% 189.16/27.88 (( hBOOL @ ( hAPP @ V_A @ V_x ) ) | ( ( V_y ) = ( V_x ) ) |
% 189.16/27.88 ( ~( hBOOL @ ( hAPP @ ( c_Set_Oinsert @ V_y @ V_A @ T_a ) @ V_x ) ) ))).
% 189.16/27.88 thf(zip_derived_cl48, plain,
% 189.16/27.88 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 189.16/27.88 ( (hBOOL @ (hAPP @ X0 @ X1))
% 189.16/27.88 | ((X2) = (X1))
% 189.16/27.88 | ~ (hBOOL @ (hAPP @ (c_Set_Oinsert @ X2 @ X0 @ X3) @ X1)))),
% 189.16/27.88 inference('cnf', [status(esa)], [cls_insert__code_0])).
% 189.16/27.88 thf(zip_derived_cl5761, plain,
% 189.16/27.88 (( (hBOOL @
% 189.16/27.88 (hAPP @ (c_List_Oset @ v_evsf @ tc_Event_Oevent) @
% 189.16/27.88 (c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ v_A @
% 189.16/27.88 (c_Message_Omsg_OCrypt @ (hAPP @ c_Public_OshrK @ v_A) @
% 189.16/27.88 (c_Message_Omsg_OMPair @ v_NA @
% 189.16/27.88 (c_Message_Omsg_OMPair @ (c_Message_Omsg_OAgent @ v_B) @
% 189.16/27.88 (c_Message_Omsg_OMPair @ (hAPP @ c_Message_Omsg_OKey @ v_K) @
% 189.16/27.88 v_X)))))))
% 189.16/27.88 | ((c_Event_Oevent_OSays @ c_Message_Oagent_OSpy @ v_Ba @ v_Xa)
% 189.16/27.88 = (c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ v_A @
% 189.16/27.88 (c_Message_Omsg_OCrypt @ (hAPP @ c_Public_OshrK @ v_A) @
% 189.16/27.88 (c_Message_Omsg_OMPair @ v_NA @
% 189.16/27.88 (c_Message_Omsg_OMPair @ (c_Message_Omsg_OAgent @ v_B) @
% 189.16/27.88 (c_Message_Omsg_OMPair @
% 189.16/27.88 (hAPP @ c_Message_Omsg_OKey @ v_K) @ v_X)))))))),
% 189.16/27.88 inference('s_sup-', [status(thm)], [zip_derived_cl5755, zip_derived_cl48])).
% 189.16/27.88 thf(cls_mem__def_1, axiom,
% 189.16/27.88 (( hBOOL @ ( c_in @ V_x @ V_S @ T_a ) ) |
% 189.16/27.88 ( ~( hBOOL @ ( hAPP @ V_S @ V_x ) ) ))).
% 189.16/27.88 thf(zip_derived_cl490, plain,
% 189.16/27.88 (![X0 : $i, X1 : $i, X2 : $i]:
% 189.16/27.88 ( (hBOOL @ (c_in @ X0 @ X1 @ X2)) | ~ (hBOOL @ (hAPP @ X1 @ X0)))),
% 189.16/27.88 inference('cnf', [status(esa)], [cls_mem__def_1])).
% 189.16/27.88 thf(zip_derived_cl5927, plain,
% 189.16/27.88 (![X0 : $i]:
% 189.16/27.88 (((c_Event_Oevent_OSays @ c_Message_Oagent_OSpy @ v_Ba @ v_Xa)
% 189.16/27.88 = (c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ v_A @
% 189.16/27.88 (c_Message_Omsg_OCrypt @ (hAPP @ c_Public_OshrK @ v_A) @
% 189.16/27.88 (c_Message_Omsg_OMPair @ v_NA @
% 189.16/27.88 (c_Message_Omsg_OMPair @ (c_Message_Omsg_OAgent @ v_B) @
% 189.16/27.88 (c_Message_Omsg_OMPair @
% 189.16/27.88 (hAPP @ c_Message_Omsg_OKey @ v_K) @ v_X))))))
% 189.16/27.88 | (hBOOL @
% 189.16/27.88 (c_in @
% 189.16/27.88 (c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ v_A @
% 189.16/27.88 (c_Message_Omsg_OCrypt @ (hAPP @ c_Public_OshrK @ v_A) @
% 189.16/27.88 (c_Message_Omsg_OMPair @ v_NA @
% 189.16/27.88 (c_Message_Omsg_OMPair @ (c_Message_Omsg_OAgent @ v_B) @
% 189.16/27.88 (c_Message_Omsg_OMPair @
% 189.16/27.88 (hAPP @ c_Message_Omsg_OKey @ v_K) @ v_X))))) @
% 189.16/27.88 (c_List_Oset @ v_evsf @ tc_Event_Oevent) @ X0)))),
% 189.16/27.88 inference('s_sup-', [status(thm)],
% 189.16/27.88 [zip_derived_cl5761, zip_derived_cl490])).
% 189.16/27.88 thf(cls_conjecture_6, conjecture,
% 189.16/27.88 (~( ( ~( hBOOL @
% 189.16/27.88 ( c_in @
% 189.16/27.88 ( c_Event_Oevent_OSays @
% 189.16/27.88 c_Message_Oagent_OServer @ v_A @
% 189.16/27.88 ( c_Message_Omsg_OCrypt @
% 189.16/27.88 ( hAPP @ c_Public_OshrK @ v_A ) @
% 189.16/27.88 ( c_Message_Omsg_OMPair @
% 189.16/27.88 v_NA @
% 189.16/27.88 ( c_Message_Omsg_OMPair @
% 189.16/27.88 ( c_Message_Omsg_OAgent @ v_B ) @
% 189.16/27.88 ( c_Message_Omsg_OMPair @
% 189.16/27.88 ( hAPP @ c_Message_Omsg_OKey @ v_K ) @ v_X ) ) ) ) ) @
% 189.16/27.88 ( c_List_Oset @ v_evsf @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) ) |
% 189.16/27.88 ( ~( hBOOL @
% 189.16/27.88 ( c_in @
% 189.16/27.88 ( c_Message_Omsg_OCrypt @ v_K @ ( c_Message_Omsg_ONonce @ v_NB ) ) @
% 189.16/27.88 ( c_Message_Oparts @
% 189.16/27.88 ( c_Event_Oknows @ c_Message_Oagent_OSpy @ v_evsf ) ) @
% 189.16/27.88 tc_Message_Omsg ) ) ) |
% 189.16/27.88 ( hBOOL @
% 189.16/27.88 ( c_in @
% 189.16/27.88 ( c_Event_Oevent_OSays @ v_x @ v_B @ v_X ) @
% 189.16/27.88 ( c_List_Oset @ v_evsf @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) ))).
% 189.16/27.88 thf(zf_stmt_1, negated_conjecture,
% 189.16/27.88 (( ~( hBOOL @
% 189.16/27.88 ( c_in @
% 189.16/27.88 ( c_Event_Oevent_OSays @
% 189.16/27.88 c_Message_Oagent_OServer @ v_A @
% 189.16/27.88 ( c_Message_Omsg_OCrypt @
% 189.16/27.88 ( hAPP @ c_Public_OshrK @ v_A ) @
% 189.16/27.88 ( c_Message_Omsg_OMPair @
% 189.16/27.88 v_NA @
% 189.16/27.88 ( c_Message_Omsg_OMPair @
% 189.16/27.88 ( c_Message_Omsg_OAgent @ v_B ) @
% 189.16/27.88 ( c_Message_Omsg_OMPair @
% 189.16/27.88 ( hAPP @ c_Message_Omsg_OKey @ v_K ) @ v_X ) ) ) ) ) @
% 189.16/27.88 ( c_List_Oset @ v_evsf @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) ) |
% 189.16/27.88 ( ~( hBOOL @
% 189.16/27.88 ( c_in @
% 189.16/27.88 ( c_Message_Omsg_OCrypt @ v_K @ ( c_Message_Omsg_ONonce @ v_NB ) ) @
% 189.16/27.88 ( c_Message_Oparts @
% 189.16/27.88 ( c_Event_Oknows @ c_Message_Oagent_OSpy @ v_evsf ) ) @
% 189.16/27.88 tc_Message_Omsg ) ) ) |
% 189.16/27.88 ( hBOOL @
% 189.16/27.88 ( c_in @
% 189.16/27.88 ( c_Event_Oevent_OSays @ v_x @ v_B @ v_X ) @
% 189.16/27.88 ( c_List_Oset @ v_evsf @ tc_Event_Oevent ) @ tc_Event_Oevent ) )),
% 189.16/27.88 inference('cnf.neg', [status(esa)], [cls_conjecture_6])).
% 189.16/27.88 thf(zip_derived_cl534, plain,
% 189.16/27.88 ((~ (hBOOL @
% 189.16/27.88 (c_in @
% 189.16/27.88 (c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ v_A @
% 189.16/27.88 (c_Message_Omsg_OCrypt @ (hAPP @ c_Public_OshrK @ v_A) @
% 189.16/27.88 (c_Message_Omsg_OMPair @ v_NA @
% 189.16/27.88 (c_Message_Omsg_OMPair @ (c_Message_Omsg_OAgent @ v_B) @
% 189.16/27.88 (c_Message_Omsg_OMPair @ (hAPP @ c_Message_Omsg_OKey @ v_K) @
% 189.16/27.88 v_X))))) @
% 189.16/27.88 (c_List_Oset @ v_evsf @ tc_Event_Oevent) @ tc_Event_Oevent))
% 189.16/27.88 | ~ (hBOOL @
% 189.16/27.88 (c_in @
% 189.16/27.88 (c_Message_Omsg_OCrypt @ v_K @ (c_Message_Omsg_ONonce @ v_NB)) @
% 189.16/27.88 (c_Message_Oparts @
% 189.16/27.88 (c_Event_Oknows @ c_Message_Oagent_OSpy @ v_evsf)) @
% 189.16/27.88 tc_Message_Omsg))
% 189.16/27.88 | (hBOOL @
% 189.16/27.88 (c_in @ (c_Event_Oevent_OSays @ v_x @ v_B @ v_X) @
% 189.16/27.88 (c_List_Oset @ v_evsf @ tc_Event_Oevent) @ tc_Event_Oevent)))),
% 189.16/27.88 inference('cnf', [status(esa)], [zf_stmt_1])).
% 189.16/27.88 thf(cls_insert__iff_2, axiom,
% 189.16/27.88 (( hBOOL @ ( c_in @ V_a @ ( c_Set_Oinsert @ V_b @ V_A @ T_a ) @ T_a ) ) |
% 189.16/27.88 ( ~( hBOOL @ ( c_in @ V_a @ V_A @ T_a ) ) ))).
% 189.16/27.88 thf(zip_derived_cl245, plain,
% 189.16/27.88 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 189.16/27.88 ( (hBOOL @ (c_in @ X0 @ (c_Set_Oinsert @ X1 @ X2 @ X3) @ X3))
% 189.16/27.88 | ~ (hBOOL @ (c_in @ X0 @ X2 @ X3)))),
% 189.16/27.88 inference('cnf', [status(esa)], [cls_insert__iff_2])).
% 189.16/27.88 thf(cls_conjecture_5, conjecture,
% 189.16/27.88 (hBOOL @
% 189.16/27.88 ( c_in @
% 189.16/27.88 ( c_Event_Oevent_OSays @ V_x @ v_B @ v_X ) @
% 189.16/27.88 ( c_List_Oset @
% 189.16/27.88 ( c_List_Olist_OCons @
% 189.16/27.88 ( c_Event_Oevent_OSays @ c_Message_Oagent_OSpy @ v_Ba @ v_Xa ) @
% 189.16/27.88 v_evsf @ tc_Event_Oevent ) @
% 189.16/27.88 tc_Event_Oevent ) @
% 189.16/27.88 tc_Event_Oevent ))).
% 189.16/27.88 thf(zf_stmt_2, negated_conjecture,
% 189.16/27.88 (~( hBOOL @
% 189.16/27.88 ( c_in @
% 189.16/27.88 ( c_Event_Oevent_OSays @ V_x @ v_B @ v_X ) @
% 189.16/27.88 ( c_List_Oset @
% 189.16/27.88 ( c_List_Olist_OCons @
% 189.16/27.88 ( c_Event_Oevent_OSays @ c_Message_Oagent_OSpy @ v_Ba @ v_Xa ) @
% 189.16/27.88 v_evsf @ tc_Event_Oevent ) @
% 189.16/27.88 tc_Event_Oevent ) @
% 189.16/27.88 tc_Event_Oevent ) )),
% 189.16/27.88 inference('cnf.neg', [status(esa)], [cls_conjecture_5])).
% 189.16/27.88 thf(zip_derived_cl533, plain,
% 189.16/27.88 (![X0 : $i]:
% 189.16/27.88 ~ (hBOOL @
% 189.16/27.88 (c_in @ (c_Event_Oevent_OSays @ X0 @ v_B @ v_X) @
% 189.16/27.88 (c_List_Oset @
% 189.16/27.88 (c_List_Olist_OCons @
% 189.16/27.88 (c_Event_Oevent_OSays @ c_Message_Oagent_OSpy @ v_Ba @ v_Xa) @
% 189.16/27.88 v_evsf @ tc_Event_Oevent) @
% 189.16/27.88 tc_Event_Oevent) @
% 189.16/27.88 tc_Event_Oevent))),
% 189.16/27.88 inference('cnf', [status(esa)], [zf_stmt_2])).
% 189.16/27.88 thf(zip_derived_cl191, plain,
% 189.16/27.88 (![X0 : $i, X1 : $i, X2 : $i]:
% 189.16/27.88 ((c_List_Oset @ (c_List_Olist_OCons @ X0 @ X1 @ X2) @ X2)
% 189.16/27.88 = (c_Set_Oinsert @ X0 @ (c_List_Oset @ X1 @ X2) @ X2))),
% 189.16/27.88 inference('cnf', [status(esa)], [cls_List_Oset_Osimps_I2_J_0])).
% 189.16/27.88 thf(zip_derived_cl5754, plain,
% 189.16/27.88 (![X0 : $i]:
% 189.16/27.88 ~ (hBOOL @
% 189.16/27.88 (c_in @ (c_Event_Oevent_OSays @ X0 @ v_B @ v_X) @
% 189.16/27.88 (c_Set_Oinsert @
% 189.16/27.88 (c_Event_Oevent_OSays @ c_Message_Oagent_OSpy @ v_Ba @ v_Xa) @
% 189.16/27.88 (c_List_Oset @ v_evsf @ tc_Event_Oevent) @ tc_Event_Oevent) @
% 189.16/27.88 tc_Event_Oevent))),
% 189.16/27.88 inference('demod', [status(thm)], [zip_derived_cl533, zip_derived_cl191])).
% 189.16/27.88 thf(zip_derived_cl5792, plain,
% 189.16/27.88 (![X0 : $i]:
% 189.16/27.88 ~ (hBOOL @
% 189.16/27.88 (c_in @ (c_Event_Oevent_OSays @ X0 @ v_B @ v_X) @
% 189.16/27.88 (c_List_Oset @ v_evsf @ tc_Event_Oevent) @ tc_Event_Oevent))),
% 189.16/27.88 inference('s_sup-', [status(thm)],
% 189.16/27.88 [zip_derived_cl245, zip_derived_cl5754])).
% 189.16/27.88 thf(zip_derived_cl5794, plain,
% 189.16/27.88 ((~ (hBOOL @
% 189.16/27.88 (c_in @
% 189.16/27.88 (c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ v_A @
% 189.16/27.88 (c_Message_Omsg_OCrypt @ (hAPP @ c_Public_OshrK @ v_A) @
% 189.16/27.88 (c_Message_Omsg_OMPair @ v_NA @
% 189.16/27.88 (c_Message_Omsg_OMPair @ (c_Message_Omsg_OAgent @ v_B) @
% 189.16/27.88 (c_Message_Omsg_OMPair @ (hAPP @ c_Message_Omsg_OKey @ v_K) @
% 189.16/27.88 v_X))))) @
% 189.16/27.88 (c_List_Oset @ v_evsf @ tc_Event_Oevent) @ tc_Event_Oevent))
% 189.16/27.88 | ~ (hBOOL @
% 189.16/27.88 (c_in @
% 189.16/27.88 (c_Message_Omsg_OCrypt @ v_K @ (c_Message_Omsg_ONonce @ v_NB)) @
% 189.16/27.88 (c_Message_Oparts @
% 189.16/27.88 (c_Event_Oknows @ c_Message_Oagent_OSpy @ v_evsf)) @
% 189.16/27.88 tc_Message_Omsg)))),
% 189.16/27.88 inference('demod', [status(thm)], [zip_derived_cl534, zip_derived_cl5792])).
% 189.16/27.88 thf(cls_Fake__parts__insert_0, axiom,
% 189.16/27.88 (( c_lessequals @
% 189.16/27.88 ( c_Message_Oparts @ ( c_Set_Oinsert @ V_X @ V_H @ tc_Message_Omsg ) ) @
% 189.16/27.88 ( c_Lattices_Oupper__semilattice__class_Osup @
% 189.16/27.88 ( c_Message_Osynth @ ( c_Message_Oanalz @ V_H ) ) @
% 189.16/27.88 ( c_Message_Oparts @ V_H ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) @
% 189.16/27.88 ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) |
% 189.16/27.88 ( ~( hBOOL @
% 189.16/27.88 ( c_in @
% 189.16/27.88 V_X @ ( c_Message_Osynth @ ( c_Message_Oanalz @ V_H ) ) @
% 189.16/27.88 tc_Message_Omsg ) ) ))).
% 189.16/27.88 thf(zip_derived_cl327, plain,
% 189.16/27.88 (![X0 : $i, X1 : $i]:
% 189.16/27.88 ( (c_lessequals @
% 189.16/27.88 (c_Message_Oparts @ (c_Set_Oinsert @ X0 @ X1 @ tc_Message_Omsg)) @
% 189.16/27.88 (c_Lattices_Oupper__semilattice__class_Osup @
% 189.16/27.88 (c_Message_Osynth @ (c_Message_Oanalz @ X1)) @
% 189.16/27.88 (c_Message_Oparts @ X1) @ (tc_fun @ tc_Message_Omsg @ tc_bool)) @
% 189.16/27.88 (tc_fun @ tc_Message_Omsg @ tc_bool))
% 189.16/27.88 | ~ (hBOOL @
% 189.16/27.88 (c_in @ X0 @ (c_Message_Osynth @ (c_Message_Oanalz @ X1)) @
% 189.16/27.88 tc_Message_Omsg)))),
% 189.16/27.88 inference('cnf', [status(esa)], [cls_Fake__parts__insert_0])).
% 189.16/27.88 thf(cls_Un__commute_0, axiom,
% 189.16/27.88 (( c_Lattices_Oupper__semilattice__class_Osup @
% 189.16/27.88 V_A @ V_B @ ( tc_fun @ T_a @ tc_bool ) ) =
% 189.16/27.88 ( c_Lattices_Oupper__semilattice__class_Osup @
% 189.16/27.88 V_B @ V_A @ ( tc_fun @ T_a @ tc_bool ) ))).
% 189.16/27.88 thf(zip_derived_cl126, plain,
% 189.16/27.88 (![X0 : $i, X1 : $i, X2 : $i]:
% 189.16/27.88 ((c_Lattices_Oupper__semilattice__class_Osup @ X1 @ X0 @
% 189.16/27.88 (tc_fun @ X2 @ tc_bool))
% 189.16/27.88 = (c_Lattices_Oupper__semilattice__class_Osup @ X0 @ X1 @
% 189.16/27.88 (tc_fun @ X2 @ tc_bool)))),
% 189.16/27.88 inference('cnf', [status(esa)], [cls_Un__commute_0])).
% 189.16/27.88 thf(zip_derived_cl9161, plain,
% 189.16/27.88 (![X0 : $i, X1 : $i]:
% 189.16/27.88 ( (c_lessequals @
% 189.16/27.88 (c_Message_Oparts @ (c_Set_Oinsert @ X0 @ X1 @ tc_Message_Omsg)) @
% 189.16/27.88 (c_Lattices_Oupper__semilattice__class_Osup @
% 189.16/27.88 (c_Message_Oparts @ X1) @
% 189.16/27.88 (c_Message_Osynth @ (c_Message_Oanalz @ X1)) @
% 189.16/27.88 (tc_fun @ tc_Message_Omsg @ tc_bool)) @
% 189.16/27.88 (tc_fun @ tc_Message_Omsg @ tc_bool))
% 189.16/27.88 | ~ (hBOOL @
% 189.16/27.88 (c_in @ X0 @ (c_Message_Osynth @ (c_Message_Oanalz @ X1)) @
% 189.16/27.88 tc_Message_Omsg)))),
% 189.16/27.88 inference('demod', [status(thm)], [zip_derived_cl327, zip_derived_cl126])).
% 189.16/27.88 thf(cls_conjecture_4, conjecture,
% 189.16/27.88 (~( hBOOL @
% 189.16/27.88 ( c_in @
% 189.16/27.88 ( c_Message_Omsg_OCrypt @ v_K @ ( c_Message_Omsg_ONonce @ v_NB ) ) @
% 189.16/27.88 ( c_Message_Oparts @
% 189.16/27.88 ( c_Event_Oknows @
% 189.16/27.88 c_Message_Oagent_OSpy @
% 189.16/27.88 ( c_List_Olist_OCons @
% 189.16/27.88 ( c_Event_Oevent_OSays @ c_Message_Oagent_OSpy @ v_Ba @ v_Xa ) @
% 189.16/27.88 v_evsf @ tc_Event_Oevent ) ) ) @
% 189.16/27.88 tc_Message_Omsg ) ))).
% 189.16/27.88 thf(zf_stmt_3, negated_conjecture,
% 189.16/27.88 (hBOOL @
% 189.16/27.88 ( c_in @
% 189.16/27.88 ( c_Message_Omsg_OCrypt @ v_K @ ( c_Message_Omsg_ONonce @ v_NB ) ) @
% 189.16/27.88 ( c_Message_Oparts @
% 189.16/27.88 ( c_Event_Oknows @
% 189.16/27.88 c_Message_Oagent_OSpy @
% 189.16/27.88 ( c_List_Olist_OCons @
% 189.16/27.88 ( c_Event_Oevent_OSays @ c_Message_Oagent_OSpy @ v_Ba @ v_Xa ) @
% 189.16/27.88 v_evsf @ tc_Event_Oevent ) ) ) @
% 189.16/27.88 tc_Message_Omsg )),
% 189.16/27.88 inference('cnf.neg', [status(esa)], [cls_conjecture_4])).
% 189.16/27.88 thf(zip_derived_cl532, plain,
% 189.16/27.88 ( (hBOOL @
% 189.16/27.88 (c_in @
% 189.16/27.88 (c_Message_Omsg_OCrypt @ v_K @ (c_Message_Omsg_ONonce @ v_NB)) @
% 189.16/27.88 (c_Message_Oparts @
% 189.16/27.88 (c_Event_Oknows @ c_Message_Oagent_OSpy @
% 189.16/27.88 (c_List_Olist_OCons @
% 189.16/27.88 (c_Event_Oevent_OSays @ c_Message_Oagent_OSpy @ v_Ba @ v_Xa) @
% 189.16/27.88 v_evsf @ tc_Event_Oevent))) @
% 189.16/27.88 tc_Message_Omsg))),
% 189.16/27.88 inference('cnf', [status(esa)], [zf_stmt_3])).
% 189.16/27.88 thf(zip_derived_cl491, plain,
% 189.16/27.88 (![X0 : $i, X1 : $i, X2 : $i]:
% 189.16/27.88 ( (hBOOL @ (hAPP @ X0 @ X1)) | ~ (hBOOL @ (c_in @ X1 @ X0 @ X2)))),
% 189.16/27.88 inference('cnf', [status(esa)], [cls_mem__def_0])).
% 189.16/27.88 thf(zip_derived_cl2887, plain,
% 189.16/27.88 ( (hBOOL @
% 189.16/27.89 (hAPP @
% 189.16/27.89 (c_Message_Oparts @
% 189.16/27.89 (c_Event_Oknows @ c_Message_Oagent_OSpy @
% 189.16/27.89 (c_List_Olist_OCons @
% 189.16/27.89 (c_Event_Oevent_OSays @ c_Message_Oagent_OSpy @ v_Ba @ v_Xa) @
% 189.16/27.89 v_evsf @ tc_Event_Oevent))) @
% 189.16/27.89 (c_Message_Omsg_OCrypt @ v_K @ (c_Message_Omsg_ONonce @ v_NB))))),
% 189.16/27.89 inference('s_sup-', [status(thm)], [zip_derived_cl532, zip_derived_cl491])).
% 189.16/27.89 thf(zip_derived_cl490, plain,
% 189.16/27.89 (![X0 : $i, X1 : $i, X2 : $i]:
% 189.16/27.89 ( (hBOOL @ (c_in @ X0 @ X1 @ X2)) | ~ (hBOOL @ (hAPP @ X1 @ X0)))),
% 189.16/27.89 inference('cnf', [status(esa)], [cls_mem__def_1])).
% 189.16/27.89 thf(zip_derived_cl2960, plain,
% 189.16/27.89 (![X0 : $i]:
% 189.16/27.89 (hBOOL @
% 189.16/27.89 (c_in @
% 189.16/27.89 (c_Message_Omsg_OCrypt @ v_K @ (c_Message_Omsg_ONonce @ v_NB)) @
% 189.16/27.89 (c_Message_Oparts @
% 189.16/27.89 (c_Event_Oknows @ c_Message_Oagent_OSpy @
% 189.16/27.89 (c_List_Olist_OCons @
% 189.16/27.89 (c_Event_Oevent_OSays @ c_Message_Oagent_OSpy @ v_Ba @ v_Xa) @
% 189.16/27.89 v_evsf @ tc_Event_Oevent))) @
% 189.16/27.89 X0))),
% 189.16/27.89 inference('s_sup-', [status(thm)],
% 189.16/27.89 [zip_derived_cl2887, zip_derived_cl490])).
% 189.16/27.89 thf(cls_knows__Says_0, axiom,
% 189.16/27.89 (( c_Event_Oknows @
% 189.16/27.89 V_A @
% 189.16/27.89 ( c_List_Olist_OCons @
% 189.16/27.89 ( c_Event_Oevent_OSays @ V_A @ V_B @ V_X ) @ V_evs @ tc_Event_Oevent ) ) =
% 189.16/27.89 ( c_Set_Oinsert @ V_X @ ( c_Event_Oknows @ V_A @ V_evs ) @ tc_Message_Omsg ))).
% 189.16/27.89 thf(zip_derived_cl370, plain,
% 189.16/27.89 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 189.16/27.89 ((c_Event_Oknows @ X1 @
% 189.16/27.89 (c_List_Olist_OCons @ (c_Event_Oevent_OSays @ X1 @ X3 @ X0) @ X2 @
% 189.16/27.89 tc_Event_Oevent))
% 189.16/27.89 = (c_Set_Oinsert @ X0 @ (c_Event_Oknows @ X1 @ X2) @ tc_Message_Omsg))),
% 189.16/27.89 inference('cnf', [status(esa)], [cls_knows__Says_0])).
% 189.16/27.89 thf(zip_derived_cl10067, plain,
% 189.16/27.89 (![X0 : $i]:
% 189.16/27.89 (hBOOL @
% 189.16/27.89 (c_in @
% 189.16/27.89 (c_Message_Omsg_OCrypt @ v_K @ (c_Message_Omsg_ONonce @ v_NB)) @
% 189.16/27.89 (c_Message_Oparts @
% 189.16/27.89 (c_Set_Oinsert @ v_Xa @
% 189.16/27.89 (c_Event_Oknows @ c_Message_Oagent_OSpy @ v_evsf) @
% 189.16/27.89 tc_Message_Omsg)) @
% 189.16/27.89 X0))),
% 189.16/27.89 inference('demod', [status(thm)], [zip_derived_cl2960, zip_derived_cl370])).
% 189.16/27.89 thf(cls_insert__absorb_0, axiom,
% 189.16/27.89 (( ( c_Set_Oinsert @ V_a @ V_A @ T_a ) = ( V_A ) ) |
% 189.16/27.89 ( ~( hBOOL @ ( c_in @ V_a @ V_A @ T_a ) ) ))).
% 189.16/27.89 thf(zip_derived_cl260, plain,
% 189.16/27.89 (![X0 : $i, X1 : $i, X2 : $i]:
% 189.16/27.89 (((c_Set_Oinsert @ X1 @ X0 @ X2) = (X0))
% 189.16/27.89 | ~ (hBOOL @ (c_in @ X1 @ X0 @ X2)))),
% 189.16/27.89 inference('cnf', [status(esa)], [cls_insert__absorb_0])).
% 189.16/27.89 thf(cls_insert__subset_0, axiom,
% 189.16/27.89 (( hBOOL @ ( c_in @ V_x @ V_B @ T_a ) ) |
% 189.16/27.89 ( ~( c_lessequals @
% 189.16/27.89 ( c_Set_Oinsert @ V_x @ V_A @ T_a ) @ V_B @
% 189.16/27.89 ( tc_fun @ T_a @ tc_bool ) ) ))).
% 189.16/27.89 thf(zip_derived_cl118, plain,
% 189.16/27.89 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 189.16/27.89 ( (hBOOL @ (c_in @ X0 @ X1 @ X2))
% 189.16/27.89 | ~ (c_lessequals @ (c_Set_Oinsert @ X0 @ X3 @ X2) @ X1 @
% 189.16/27.89 (tc_fun @ X2 @ tc_bool)))),
% 189.16/27.89 inference('cnf', [status(esa)], [cls_insert__subset_0])).
% 189.16/27.89 thf(zip_derived_cl4276, plain,
% 189.16/27.89 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 189.16/27.89 (~ (hBOOL @ (c_in @ X3 @ X0 @ X1))
% 189.16/27.89 | (hBOOL @ (c_in @ X3 @ X2 @ X1))
% 189.16/27.89 | ~ (c_lessequals @ X0 @ X2 @ (tc_fun @ X1 @ tc_bool)))),
% 189.16/27.89 inference('s_sup-', [status(thm)], [zip_derived_cl260, zip_derived_cl118])).
% 189.16/27.89 thf(zip_derived_cl10327, plain,
% 189.16/27.89 (![X0 : $i, X1 : $i]:
% 189.16/27.89 ( (hBOOL @
% 189.16/27.89 (c_in @
% 189.16/27.89 (c_Message_Omsg_OCrypt @ v_K @ (c_Message_Omsg_ONonce @ v_NB)) @
% 189.16/27.89 X1 @ X0))
% 189.16/27.89 | ~ (c_lessequals @
% 189.16/27.89 (c_Message_Oparts @
% 189.16/27.89 (c_Set_Oinsert @ v_Xa @
% 189.16/27.89 (c_Event_Oknows @ c_Message_Oagent_OSpy @ v_evsf) @
% 189.16/27.89 tc_Message_Omsg)) @
% 189.16/27.89 X1 @ (tc_fun @ X0 @ tc_bool)))),
% 189.16/27.89 inference('s_sup-', [status(thm)],
% 189.16/27.89 [zip_derived_cl10067, zip_derived_cl4276])).
% 189.16/27.89 thf(zip_derived_cl14503, plain,
% 189.16/27.89 ((~ (hBOOL @
% 189.16/27.89 (c_in @ v_Xa @
% 189.16/27.89 (c_Message_Osynth @
% 189.16/27.89 (c_Message_Oanalz @
% 189.16/27.89 (c_Event_Oknows @ c_Message_Oagent_OSpy @ v_evsf))) @
% 189.16/27.89 tc_Message_Omsg))
% 189.16/27.89 | (hBOOL @
% 189.16/27.89 (c_in @
% 189.16/27.89 (c_Message_Omsg_OCrypt @ v_K @ (c_Message_Omsg_ONonce @ v_NB)) @
% 189.16/27.89 (c_Lattices_Oupper__semilattice__class_Osup @
% 189.16/27.89 (c_Message_Oparts @
% 189.16/27.89 (c_Event_Oknows @ c_Message_Oagent_OSpy @ v_evsf)) @
% 189.16/27.89 (c_Message_Osynth @
% 189.16/27.89 (c_Message_Oanalz @
% 189.16/27.89 (c_Event_Oknows @ c_Message_Oagent_OSpy @ v_evsf))) @
% 189.16/27.89 (tc_fun @ tc_Message_Omsg @ tc_bool)) @
% 189.16/27.89 tc_Message_Omsg)))),
% 189.16/27.89 inference('s_sup-', [status(thm)],
% 189.16/27.89 [zip_derived_cl9161, zip_derived_cl10327])).
% 189.16/27.89 thf(cls_conjecture_1, conjecture,
% 189.16/27.89 (~( hBOOL @
% 189.16/27.89 ( c_in @
% 189.16/27.89 v_Xa @
% 189.16/27.89 ( c_Message_Osynth @
% 189.16/27.89 ( c_Message_Oanalz @
% 189.16/27.89 ( c_Event_Oknows @ c_Message_Oagent_OSpy @ v_evsf ) ) ) @
% 189.16/27.89 tc_Message_Omsg ) ))).
% 189.16/27.89 thf(zf_stmt_4, negated_conjecture,
% 189.16/27.89 (hBOOL @
% 189.16/27.89 ( c_in @
% 189.16/27.89 v_Xa @
% 189.16/27.89 ( c_Message_Osynth @
% 189.16/27.89 ( c_Message_Oanalz @
% 189.16/27.89 ( c_Event_Oknows @ c_Message_Oagent_OSpy @ v_evsf ) ) ) @
% 189.16/27.89 tc_Message_Omsg )),
% 189.16/27.89 inference('cnf.neg', [status(esa)], [cls_conjecture_1])).
% 189.16/27.89 thf(zip_derived_cl529, plain,
% 189.16/27.89 ( (hBOOL @
% 189.16/27.89 (c_in @ v_Xa @
% 189.16/27.89 (c_Message_Osynth @
% 189.16/27.89 (c_Message_Oanalz @
% 189.16/27.89 (c_Event_Oknows @ c_Message_Oagent_OSpy @ v_evsf))) @
% 189.16/27.89 tc_Message_Omsg))),
% 189.16/27.89 inference('cnf', [status(esa)], [zf_stmt_4])).
% 189.16/27.89 thf(zip_derived_cl491, plain,
% 189.16/27.89 (![X0 : $i, X1 : $i, X2 : $i]:
% 189.16/27.89 ( (hBOOL @ (hAPP @ X0 @ X1)) | ~ (hBOOL @ (c_in @ X1 @ X0 @ X2)))),
% 189.16/27.89 inference('cnf', [status(esa)], [cls_mem__def_0])).
% 189.16/27.89 thf(zip_derived_cl2892, plain,
% 189.16/27.89 ( (hBOOL @
% 189.16/27.89 (hAPP @
% 189.16/27.89 (c_Message_Osynth @
% 189.16/27.89 (c_Message_Oanalz @
% 189.16/27.89 (c_Event_Oknows @ c_Message_Oagent_OSpy @ v_evsf))) @
% 189.16/27.89 v_Xa))),
% 189.16/27.89 inference('s_sup-', [status(thm)], [zip_derived_cl529, zip_derived_cl491])).
% 189.16/27.89 thf(zip_derived_cl490, plain,
% 189.16/27.89 (![X0 : $i, X1 : $i, X2 : $i]:
% 189.16/27.89 ( (hBOOL @ (c_in @ X0 @ X1 @ X2)) | ~ (hBOOL @ (hAPP @ X1 @ X0)))),
% 189.16/27.89 inference('cnf', [status(esa)], [cls_mem__def_1])).
% 189.16/27.89 thf(zip_derived_cl2894, plain,
% 189.16/27.89 (![X0 : $i]:
% 189.16/27.89 (hBOOL @
% 189.16/27.89 (c_in @ v_Xa @
% 189.16/27.89 (c_Message_Osynth @
% 189.16/27.89 (c_Message_Oanalz @
% 189.16/27.89 (c_Event_Oknows @ c_Message_Oagent_OSpy @ v_evsf))) @
% 189.16/27.89 X0))),
% 189.16/27.89 inference('s_sup-', [status(thm)],
% 189.16/27.89 [zip_derived_cl2892, zip_derived_cl490])).
% 189.16/27.89 thf(zip_derived_cl14508, plain,
% 189.16/27.89 ( (hBOOL @
% 189.16/27.89 (c_in @
% 189.16/27.89 (c_Message_Omsg_OCrypt @ v_K @ (c_Message_Omsg_ONonce @ v_NB)) @
% 189.16/27.89 (c_Lattices_Oupper__semilattice__class_Osup @
% 189.16/27.89 (c_Message_Oparts @
% 189.16/27.89 (c_Event_Oknows @ c_Message_Oagent_OSpy @ v_evsf)) @
% 189.16/27.89 (c_Message_Osynth @
% 189.16/27.89 (c_Message_Oanalz @
% 189.16/27.89 (c_Event_Oknows @ c_Message_Oagent_OSpy @ v_evsf))) @
% 189.16/27.89 (tc_fun @ tc_Message_Omsg @ tc_bool)) @
% 189.16/27.89 tc_Message_Omsg))),
% 189.16/27.89 inference('demod', [status(thm)],
% 189.16/27.89 [zip_derived_cl14503, zip_derived_cl2894])).
% 189.16/27.89 thf(cls_UnE_0, axiom,
% 189.16/27.89 (( hBOOL @ ( c_in @ V_c @ V_B @ T_a ) ) |
% 189.16/27.89 ( hBOOL @ ( c_in @ V_c @ V_A @ T_a ) ) |
% 189.16/27.89 ( ~( hBOOL @
% 189.16/27.89 ( c_in @
% 189.16/27.89 V_c @
% 189.16/27.89 ( c_Lattices_Oupper__semilattice__class_Osup @
% 189.16/27.89 V_A @ V_B @ ( tc_fun @ T_a @ tc_bool ) ) @
% 189.16/27.89 T_a ) ) ))).
% 189.16/27.89 thf(zip_derived_cl254, plain,
% 189.16/27.89 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 189.16/27.89 ( (hBOOL @ (c_in @ X0 @ X1 @ X2))
% 189.16/27.89 | (hBOOL @ (c_in @ X0 @ X3 @ X2))
% 189.16/27.89 | ~ (hBOOL @
% 189.16/27.89 (c_in @ X0 @
% 189.16/27.89 (c_Lattices_Oupper__semilattice__class_Osup @ X3 @ X1 @
% 189.16/27.89 (tc_fun @ X2 @ tc_bool)) @
% 189.16/27.89 X2)))),
% 189.16/27.89 inference('cnf', [status(esa)], [cls_UnE_0])).
% 189.16/27.89 thf(zip_derived_cl88956, plain,
% 189.16/27.89 (( (hBOOL @
% 189.16/27.89 (c_in @
% 189.16/27.89 (c_Message_Omsg_OCrypt @ v_K @ (c_Message_Omsg_ONonce @ v_NB)) @
% 189.16/27.89 (c_Message_Osynth @
% 189.16/27.89 (c_Message_Oanalz @
% 189.16/27.89 (c_Event_Oknows @ c_Message_Oagent_OSpy @ v_evsf))) @
% 189.16/27.89 tc_Message_Omsg))
% 189.16/27.89 | (hBOOL @
% 189.16/27.89 (c_in @
% 189.16/27.89 (c_Message_Omsg_OCrypt @ v_K @ (c_Message_Omsg_ONonce @ v_NB)) @
% 189.16/27.89 (c_Message_Oparts @
% 189.16/27.89 (c_Event_Oknows @ c_Message_Oagent_OSpy @ v_evsf)) @
% 189.16/27.89 tc_Message_Omsg)))),
% 189.16/27.89 inference('s_sup-', [status(thm)],
% 189.16/27.89 [zip_derived_cl14508, zip_derived_cl254])).
% 189.16/27.89 thf(cls_Crypt__synth__eq_0, axiom,
% 189.16/27.89 (( hBOOL @
% 189.16/27.89 ( c_in @ ( c_Message_Omsg_OCrypt @ V_K @ V_X ) @ V_H @ tc_Message_Omsg ) ) |
% 189.16/27.89 ( ~( hBOOL @
% 189.16/27.89 ( c_in @
% 189.16/27.89 ( c_Message_Omsg_OCrypt @ V_K @ V_X ) @
% 189.16/27.89 ( c_Message_Osynth @ V_H ) @ tc_Message_Omsg ) ) ) |
% 189.16/27.89 ( hBOOL @
% 189.16/27.89 ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ V_K ) @ V_H @ tc_Message_Omsg ) ))).
% 189.16/27.89 thf(zip_derived_cl509, plain,
% 189.16/27.89 (![X0 : $i, X1 : $i, X2 : $i]:
% 189.16/27.89 ( (hBOOL @
% 189.16/27.89 (c_in @ (c_Message_Omsg_OCrypt @ X0 @ X1) @ X2 @ tc_Message_Omsg))
% 189.16/27.89 | ~ (hBOOL @
% 189.16/27.89 (c_in @ (c_Message_Omsg_OCrypt @ X0 @ X1) @
% 189.16/27.89 (c_Message_Osynth @ X2) @ tc_Message_Omsg))
% 189.16/27.89 | (hBOOL @
% 189.16/27.89 (c_in @ (hAPP @ c_Message_Omsg_OKey @ X0) @ X2 @ tc_Message_Omsg)))),
% 189.16/27.89 inference('cnf', [status(esa)], [cls_Crypt__synth__eq_0])).
% 189.16/27.89 thf(zip_derived_cl90042, plain,
% 189.16/27.89 (( (hBOOL @
% 189.16/27.89 (c_in @
% 189.16/27.89 (c_Message_Omsg_OCrypt @ v_K @ (c_Message_Omsg_ONonce @ v_NB)) @
% 189.16/27.89 (c_Message_Oparts @
% 189.16/27.89 (c_Event_Oknows @ c_Message_Oagent_OSpy @ v_evsf)) @
% 189.16/27.89 tc_Message_Omsg))
% 189.16/27.89 | (hBOOL @
% 189.16/27.89 (c_in @
% 189.16/27.89 (c_Message_Omsg_OCrypt @ v_K @ (c_Message_Omsg_ONonce @ v_NB)) @
% 189.16/27.89 (c_Message_Oanalz @
% 189.16/27.89 (c_Event_Oknows @ c_Message_Oagent_OSpy @ v_evsf)) @
% 189.16/27.89 tc_Message_Omsg))
% 189.16/27.89 | (hBOOL @
% 189.16/27.89 (c_in @ (hAPP @ c_Message_Omsg_OKey @ v_K) @
% 189.16/27.89 (c_Message_Oanalz @
% 189.16/27.89 (c_Event_Oknows @ c_Message_Oagent_OSpy @ v_evsf)) @
% 189.16/27.89 tc_Message_Omsg)))),
% 189.16/27.89 inference('s_sup-', [status(thm)],
% 189.16/27.89 [zip_derived_cl88956, zip_derived_cl509])).
% 189.16/27.89 thf(cls_conjecture_2, conjecture,
% 189.16/27.89 (hBOOL @
% 189.16/27.89 ( c_in @
% 189.16/27.89 ( hAPP @ c_Message_Omsg_OKey @ v_K ) @
% 189.16/27.89 ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ v_evsf ) ) @
% 189.16/27.89 tc_Message_Omsg ))).
% 189.16/27.89 thf(zf_stmt_5, negated_conjecture,
% 189.16/27.89 (~( hBOOL @
% 189.16/27.89 ( c_in @
% 189.16/27.89 ( hAPP @ c_Message_Omsg_OKey @ v_K ) @
% 189.16/27.89 ( c_Message_Oanalz @
% 189.16/27.89 ( c_Event_Oknows @ c_Message_Oagent_OSpy @ v_evsf ) ) @
% 189.16/27.89 tc_Message_Omsg ) )),
% 189.16/27.89 inference('cnf.neg', [status(esa)], [cls_conjecture_2])).
% 189.16/27.89 thf(zip_derived_cl530, plain,
% 189.16/27.89 (~ (hBOOL @
% 189.16/27.89 (c_in @ (hAPP @ c_Message_Omsg_OKey @ v_K) @
% 189.16/27.89 (c_Message_Oanalz @
% 189.16/27.89 (c_Event_Oknows @ c_Message_Oagent_OSpy @ v_evsf)) @
% 189.16/27.89 tc_Message_Omsg))),
% 189.16/27.89 inference('cnf', [status(esa)], [zf_stmt_5])).
% 189.16/27.89 thf(zip_derived_cl90052, plain,
% 189.16/27.89 (( (hBOOL @
% 189.16/27.89 (c_in @
% 189.16/27.89 (c_Message_Omsg_OCrypt @ v_K @ (c_Message_Omsg_ONonce @ v_NB)) @
% 189.16/27.89 (c_Message_Oparts @
% 189.16/27.89 (c_Event_Oknows @ c_Message_Oagent_OSpy @ v_evsf)) @
% 189.16/27.89 tc_Message_Omsg))
% 189.16/27.89 | (hBOOL @
% 189.16/27.89 (c_in @
% 189.16/27.89 (c_Message_Omsg_OCrypt @ v_K @ (c_Message_Omsg_ONonce @ v_NB)) @
% 189.16/27.89 (c_Message_Oanalz @
% 189.16/27.89 (c_Event_Oknows @ c_Message_Oagent_OSpy @ v_evsf)) @
% 189.16/27.89 tc_Message_Omsg)))),
% 189.16/27.89 inference('demod', [status(thm)],
% 189.16/27.89 [zip_derived_cl90042, zip_derived_cl530])).
% 189.16/27.89 thf(cls_parts__analz_0, axiom,
% 189.16/27.89 (( c_Message_Oparts @ ( c_Message_Oanalz @ V_H ) ) =
% 189.16/27.89 ( c_Message_Oparts @ V_H ))).
% 189.16/27.89 thf(zip_derived_cl433, plain,
% 189.16/27.89 (![X0 : $i]:
% 189.16/27.89 ((c_Message_Oparts @ (c_Message_Oanalz @ X0))
% 189.16/27.89 = (c_Message_Oparts @ X0))),
% 189.16/27.89 inference('cnf', [status(esa)], [cls_parts__analz_0])).
% 189.16/27.89 thf(cls_parts_OInj_0, axiom,
% 189.16/27.89 (( hBOOL @ ( c_in @ V_X @ ( c_Message_Oparts @ V_H ) @ tc_Message_Omsg ) ) |
% 189.16/27.89 ( ~( hBOOL @ ( c_in @ V_X @ V_H @ tc_Message_Omsg ) ) ))).
% 189.16/27.89 thf(zip_derived_cl450, plain,
% 189.16/27.89 (![X0 : $i, X1 : $i]:
% 189.16/27.89 ( (hBOOL @ (c_in @ X0 @ (c_Message_Oparts @ X1) @ tc_Message_Omsg))
% 189.16/27.89 | ~ (hBOOL @ (c_in @ X0 @ X1 @ tc_Message_Omsg)))),
% 189.16/27.89 inference('cnf', [status(esa)], [cls_parts_OInj_0])).
% 189.16/27.89 thf(zip_derived_cl2655, plain,
% 189.16/27.89 (![X0 : $i, X1 : $i]:
% 189.16/27.89 ( (hBOOL @ (c_in @ X1 @ (c_Message_Oparts @ X0) @ tc_Message_Omsg))
% 189.16/27.89 | ~ (hBOOL @ (c_in @ X1 @ (c_Message_Oanalz @ X0) @ tc_Message_Omsg)))),
% 189.16/27.89 inference('s_sup+', [status(thm)], [zip_derived_cl433, zip_derived_cl450])).
% 189.16/27.89 thf(zip_derived_cl491, plain,
% 189.16/27.89 (![X0 : $i, X1 : $i, X2 : $i]:
% 189.16/27.89 ( (hBOOL @ (hAPP @ X0 @ X1)) | ~ (hBOOL @ (c_in @ X1 @ X0 @ X2)))),
% 189.16/27.89 inference('cnf', [status(esa)], [cls_mem__def_0])).
% 189.16/27.89 thf(zip_derived_cl2875, plain,
% 189.16/27.89 (![X0 : $i, X1 : $i]:
% 189.16/27.89 (~ (hBOOL @ (c_in @ X1 @ (c_Message_Oanalz @ X0) @ tc_Message_Omsg))
% 189.16/27.89 | (hBOOL @ (hAPP @ (c_Message_Oparts @ X0) @ X1)))),
% 189.16/27.89 inference('s_sup-', [status(thm)],
% 189.16/27.89 [zip_derived_cl2655, zip_derived_cl491])).
% 189.16/27.89 thf(zip_derived_cl490, plain,
% 189.16/27.89 (![X0 : $i, X1 : $i, X2 : $i]:
% 189.16/27.89 ( (hBOOL @ (c_in @ X0 @ X1 @ X2)) | ~ (hBOOL @ (hAPP @ X1 @ X0)))),
% 189.16/27.89 inference('cnf', [status(esa)], [cls_mem__def_1])).
% 189.16/27.89 thf(zip_derived_cl3293, plain,
% 189.16/27.89 (![X0 : $i, X1 : $i, X2 : $i]:
% 189.16/27.89 (~ (hBOOL @ (c_in @ X0 @ (c_Message_Oanalz @ X1) @ tc_Message_Omsg))
% 189.16/27.89 | (hBOOL @ (c_in @ X0 @ (c_Message_Oparts @ X1) @ X2)))),
% 189.16/27.89 inference('s_sup-', [status(thm)],
% 189.16/27.89 [zip_derived_cl2875, zip_derived_cl490])).
% 189.16/27.89 thf(zip_derived_cl90221, plain,
% 189.16/27.89 ( (hBOOL @
% 189.16/27.89 (c_in @
% 189.16/27.89 (c_Message_Omsg_OCrypt @ v_K @ (c_Message_Omsg_ONonce @ v_NB)) @
% 189.16/27.89 (c_Message_Oparts @ (c_Event_Oknows @ c_Message_Oagent_OSpy @ v_evsf)) @
% 189.16/27.89 tc_Message_Omsg))),
% 189.16/27.89 inference('clc', [status(thm)], [zip_derived_cl90052, zip_derived_cl3293])).
% 189.16/27.89 thf(zip_derived_cl90222, plain,
% 189.16/27.89 (~ (hBOOL @
% 189.16/27.89 (c_in @
% 189.16/27.89 (c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ v_A @
% 189.16/27.89 (c_Message_Omsg_OCrypt @ (hAPP @ c_Public_OshrK @ v_A) @
% 189.16/27.89 (c_Message_Omsg_OMPair @ v_NA @
% 189.16/27.89 (c_Message_Omsg_OMPair @ (c_Message_Omsg_OAgent @ v_B) @
% 189.16/27.89 (c_Message_Omsg_OMPair @ (hAPP @ c_Message_Omsg_OKey @ v_K) @
% 189.16/27.89 v_X))))) @
% 189.16/27.89 (c_List_Oset @ v_evsf @ tc_Event_Oevent) @ tc_Event_Oevent))),
% 189.16/27.89 inference('demod', [status(thm)],
% 189.16/27.89 [zip_derived_cl5794, zip_derived_cl90221])).
% 189.16/27.89 thf(zip_derived_cl90492, plain,
% 189.16/27.89 (((c_Event_Oevent_OSays @ c_Message_Oagent_OSpy @ v_Ba @ v_Xa)
% 189.16/27.89 = (c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ v_A @
% 189.16/27.89 (c_Message_Omsg_OCrypt @ (hAPP @ c_Public_OshrK @ v_A) @
% 189.16/27.89 (c_Message_Omsg_OMPair @ v_NA @
% 189.16/27.89 (c_Message_Omsg_OMPair @ (c_Message_Omsg_OAgent @ v_B) @
% 189.16/27.89 (c_Message_Omsg_OMPair @ (hAPP @ c_Message_Omsg_OKey @ v_K) @
% 189.16/27.89 v_X))))))),
% 189.16/27.89 inference('s_sup-', [status(thm)],
% 189.16/27.89 [zip_derived_cl5927, zip_derived_cl90222])).
% 189.16/27.89 thf(cls_event_Osimps_I1_J_0, axiom,
% 189.16/27.89 (( ( c_Event_Oevent_OSays @ V_agent1 @ V_agent2 @ V_msg ) !=
% 189.16/27.89 ( c_Event_Oevent_OSays @ V_agent1_H @ V_agent2_H @ V_msg_H ) ) |
% 189.16/27.89 ( ( V_agent1 ) = ( V_agent1_H ) ))).
% 189.16/27.89 thf(zip_derived_cl447, plain,
% 189.16/27.89 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 189.16/27.89 (((c_Event_Oevent_OSays @ X3 @ X4 @ X5)
% 189.16/27.89 != (c_Event_Oevent_OSays @ X0 @ X1 @ X2))
% 189.16/27.89 | ((X3) = (X0)))),
% 189.16/27.89 inference('cnf', [status(esa)], [cls_event_Osimps_I1_J_0])).
% 189.16/27.89 thf(zip_derived_cl90759, plain,
% 189.16/27.89 (![X0 : $i, X1 : $i, X2 : $i]:
% 189.16/27.89 (((c_Event_Oevent_OSays @ X2 @ X1 @ X0)
% 189.16/27.89 != (c_Event_Oevent_OSays @ c_Message_Oagent_OSpy @ v_Ba @ v_Xa))
% 189.16/27.89 | ((X2) = (c_Message_Oagent_OServer)))),
% 189.16/27.89 inference('s_sup-', [status(thm)],
% 189.16/27.89 [zip_derived_cl90492, zip_derived_cl447])).
% 189.16/27.89 thf(zip_derived_cl90814, plain,
% 189.16/27.89 (((c_Message_Oagent_OSpy) = (c_Message_Oagent_OServer))),
% 189.16/27.89 inference('eq_res', [status(thm)], [zip_derived_cl90759])).
% 189.16/27.89 thf(cls_agent_Osimps_I4_J_0, axiom,
% 189.16/27.89 (( c_Message_Oagent_OServer ) != ( c_Message_Oagent_OSpy ))).
% 189.16/27.89 thf(zip_derived_cl469, plain,
% 189.16/27.89 (((c_Message_Oagent_OServer) != (c_Message_Oagent_OSpy))),
% 189.16/27.89 inference('cnf', [status(esa)], [cls_agent_Osimps_I4_J_0])).
% 189.16/27.89 thf(zip_derived_cl90815, plain, ($false),
% 189.16/27.89 inference('simplify_reflect-', [status(thm)],
% 189.16/27.89 [zip_derived_cl90814, zip_derived_cl469])).
% 189.16/27.89
% 189.16/27.89 % SZS output end Refutation
% 189.16/27.89
% 189.16/27.89
% 189.16/27.89 % Terminating...
% 189.75/27.98 % Runner terminated.
% 189.76/27.99 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------