%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SWV305-2 : TPTP v9.2.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.z5eziEi4pw true
% Computer : n013.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Oct 2 05:00:42 PM UTC 2025
% Result : Unsatisfiable 0.59s 0.82s
% Output : Refutation 0.59s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SWV305-2 : TPTP v9.2.0. Released v3.2.0.
% 0.06/0.14 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.z5eziEi4pw true
% 0.13/0.35 % Computer : n013.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Wed Oct 1 12:37:38 EDT 2025
% 0.13/0.35 % CPUTime :
% 0.13/0.35 % Running portfolio for 300 s
% 0.13/0.35 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.35 % Number of cores: 8
% 0.13/0.35 % Python version: Python 3.6.8
% 0.13/0.36 % Running in FO mode
% 0.54/0.65 % Total configuration time : 435
% 0.54/0.65 % Estimated wc time : 1092
% 0.54/0.65 % Estimated cpu time (7 cpus) : 156.0
% 0.57/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.57/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.57/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.57/0.78 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.57/0.78 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.57/0.78 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.57/0.78 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.59/0.82 % Solved by fo/fo5.sh.
% 0.59/0.82 % done 18 iterations in 0.019s
% 0.59/0.82 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.59/0.82 % SZS output start Refutation
% 0.59/0.82 thf(c_in_type, type, c_in: $i > $i > $i > $o).
% 0.59/0.82 thf(v_NA_type, type, v_NA: $i).
% 0.59/0.82 thf(c_insert_type, type, c_insert: $i > $i > $i > $i).
% 0.59/0.82 thf(c_Event_Obad_type, type, c_Event_Obad: $i).
% 0.59/0.82 thf(c_Message_Osynth_type, type, c_Message_Osynth: $i > $i).
% 0.59/0.82 thf(c_Message_Oparts_type, type, c_Message_Oparts: $i > $i).
% 0.59/0.82 thf(c_Message_Omsg_OMPair_type, type, c_Message_Omsg_OMPair: $i > $i > $i).
% 0.59/0.82 thf(c_Message_Oagent_OSpy_type, type, c_Message_Oagent_OSpy: $i).
% 0.59/0.82 thf(v_A_type, type, v_A: $i).
% 0.59/0.82 thf(v_X_type, type, v_X: $i).
% 0.59/0.82 thf(tc_Event_Oevent_type, type, tc_Event_Oevent: $i).
% 0.59/0.82 thf(c_Message_Omsg_OAgent_type, type, c_Message_Omsg_OAgent: $i > $i).
% 0.59/0.82 thf(v_B_type, type, v_B: $i).
% 0.59/0.82 thf(v_A_H_type, type, v_A_H: $i).
% 0.59/0.82 thf(c_union_type, type, c_union: $i > $i > $i > $i).
% 0.59/0.82 thf(tc_Message_Oagent_type, type, tc_Message_Oagent: $i).
% 0.59/0.82 thf(v_NA_H_type, type, v_NA_H: $i).
% 0.59/0.82 thf(c_Message_Oanalz_type, type, c_Message_Oanalz: $i > $i).
% 0.59/0.82 thf(tc_List_Olist_type, type, tc_List_Olist: $i > $i).
% 0.59/0.82 thf(c_Public_OshrK_type, type, c_Public_OshrK: $i > $i).
% 0.59/0.82 thf(c_Message_Omsg_OKey_type, type, c_Message_Omsg_OKey: $i > $i).
% 0.59/0.82 thf(v_evsf_type, type, v_evsf: $i).
% 0.59/0.82 thf(tc_Message_Omsg_type, type, tc_Message_Omsg: $i).
% 0.59/0.82 thf(c_OtwayRees_Ootway_type, type, c_OtwayRees_Ootway: $i).
% 0.59/0.82 thf(c_Message_Omsg_OCrypt_type, type, c_Message_Omsg_OCrypt: $i > $i > $i).
% 0.59/0.82 thf(c_Event_Oknows_type, type, c_Event_Oknows: $i > $i > $i).
% 0.59/0.82 thf(cls_conjecture_4, conjecture,
% 0.59/0.82 (~( c_in @
% 0.59/0.82 ( c_Message_Omsg_OCrypt @
% 0.59/0.82 ( c_Public_OshrK @ v_A ) @
% 0.59/0.82 ( c_Message_Omsg_OMPair @
% 0.59/0.82 v_NA_H @
% 0.59/0.82 ( c_Message_Omsg_OMPair @
% 0.59/0.82 v_NA @
% 0.59/0.82 ( c_Message_Omsg_OMPair @
% 0.59/0.82 ( c_Message_Omsg_OAgent @ v_A_H ) @
% 0.59/0.82 ( c_Message_Omsg_OAgent @ v_A ) ) ) ) ) @
% 0.59/0.82 ( c_Message_Oparts @
% 0.59/0.82 ( c_insert @
% 0.59/0.82 v_X @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ v_evsf ) @
% 0.59/0.82 tc_Message_Omsg ) ) @
% 0.59/0.82 tc_Message_Omsg ))).
% 0.59/0.82 thf(zf_stmt_0, negated_conjecture,
% 0.59/0.82 (c_in @
% 0.59/0.82 ( c_Message_Omsg_OCrypt @
% 0.59/0.82 ( c_Public_OshrK @ v_A ) @
% 0.59/0.82 ( c_Message_Omsg_OMPair @
% 0.59/0.82 v_NA_H @
% 0.59/0.82 ( c_Message_Omsg_OMPair @
% 0.59/0.82 v_NA @
% 0.59/0.82 ( c_Message_Omsg_OMPair @
% 0.59/0.82 ( c_Message_Omsg_OAgent @ v_A_H ) @
% 0.59/0.82 ( c_Message_Omsg_OAgent @ v_A ) ) ) ) ) @
% 0.59/0.82 ( c_Message_Oparts @
% 0.59/0.82 ( c_insert @
% 0.59/0.82 v_X @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ v_evsf ) @
% 0.59/0.82 tc_Message_Omsg ) ) @
% 0.59/0.82 tc_Message_Omsg),
% 0.59/0.82 inference('cnf.neg', [status(esa)], [cls_conjecture_4])).
% 0.59/0.82 thf(zip_derived_cl4, plain,
% 0.59/0.82 ( (c_in @
% 0.59/0.82 (c_Message_Omsg_OCrypt @ (c_Public_OshrK @ v_A) @
% 0.59/0.82 (c_Message_Omsg_OMPair @ v_NA_H @
% 0.59/0.82 (c_Message_Omsg_OMPair @ v_NA @
% 0.59/0.82 (c_Message_Omsg_OMPair @ (c_Message_Omsg_OAgent @ v_A_H) @
% 0.59/0.82 (c_Message_Omsg_OAgent @ v_A))))) @
% 0.59/0.82 (c_Message_Oparts @
% 0.59/0.82 (c_insert @ v_X @
% 0.59/0.82 (c_Event_Oknows @ c_Message_Oagent_OSpy @ v_evsf) @ tc_Message_Omsg)) @
% 0.59/0.82 tc_Message_Omsg)),
% 0.59/0.82 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.59/0.82 thf(cls_Message_OFake__parts__insert__in__Un__dest_0, axiom,
% 0.59/0.82 (( ~( c_in @
% 0.59/0.82 V_Z @
% 0.59/0.82 ( c_Message_Oparts @ ( c_insert @ V_X @ V_H @ tc_Message_Omsg ) ) @
% 0.59/0.82 tc_Message_Omsg ) ) |
% 0.59/0.82 ( ~( c_in @
% 0.59/0.82 V_X @ ( c_Message_Osynth @ ( c_Message_Oanalz @ V_H ) ) @
% 0.59/0.82 tc_Message_Omsg ) ) |
% 0.59/0.82 ( c_in @
% 0.59/0.82 V_Z @
% 0.59/0.82 ( c_union @
% 0.59/0.82 ( c_Message_Osynth @ ( c_Message_Oanalz @ V_H ) ) @
% 0.59/0.82 ( c_Message_Oparts @ V_H ) @ tc_Message_Omsg ) @
% 0.59/0.82 tc_Message_Omsg ))).
% 0.59/0.82 thf(zip_derived_cl7, plain,
% 0.59/0.82 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.59/0.82 (~ (c_in @ X0 @
% 0.59/0.82 (c_Message_Oparts @ (c_insert @ X1 @ X2 @ tc_Message_Omsg)) @
% 0.59/0.82 tc_Message_Omsg)
% 0.59/0.82 | ~ (c_in @ X1 @ (c_Message_Osynth @ (c_Message_Oanalz @ X2)) @
% 0.59/0.82 tc_Message_Omsg)
% 0.59/0.82 | (c_in @ X0 @
% 0.59/0.82 (c_union @ (c_Message_Osynth @ (c_Message_Oanalz @ X2)) @
% 0.59/0.82 (c_Message_Oparts @ X2) @ tc_Message_Omsg) @
% 0.59/0.82 tc_Message_Omsg))),
% 0.59/0.82 inference('cnf', [status(esa)],
% 0.59/0.82 [cls_Message_OFake__parts__insert__in__Un__dest_0])).
% 0.59/0.82 thf(zip_derived_cl12, plain,
% 0.59/0.82 (( (c_in @
% 0.59/0.82 (c_Message_Omsg_OCrypt @ (c_Public_OshrK @ v_A) @
% 0.59/0.82 (c_Message_Omsg_OMPair @ v_NA_H @
% 0.59/0.82 (c_Message_Omsg_OMPair @ v_NA @
% 0.59/0.82 (c_Message_Omsg_OMPair @ (c_Message_Omsg_OAgent @ v_A_H) @
% 0.59/0.82 (c_Message_Omsg_OAgent @ v_A))))) @
% 0.59/0.82 (c_union @
% 0.59/0.82 (c_Message_Osynth @
% 0.59/0.82 (c_Message_Oanalz @
% 0.59/0.82 (c_Event_Oknows @ c_Message_Oagent_OSpy @ v_evsf))) @
% 0.59/0.82 (c_Message_Oparts @
% 0.59/0.82 (c_Event_Oknows @ c_Message_Oagent_OSpy @ v_evsf)) @
% 0.59/0.82 tc_Message_Omsg) @
% 0.59/0.82 tc_Message_Omsg)
% 0.59/0.82 | ~ (c_in @ v_X @
% 0.59/0.82 (c_Message_Osynth @
% 0.59/0.82 (c_Message_Oanalz @
% 0.59/0.82 (c_Event_Oknows @ c_Message_Oagent_OSpy @ v_evsf))) @
% 0.59/0.82 tc_Message_Omsg))),
% 0.59/0.82 inference('sup-', [status(thm)], [zip_derived_cl4, zip_derived_cl7])).
% 0.59/0.82 thf(cls_conjecture_2, conjecture,
% 0.59/0.82 (~( c_in @
% 0.59/0.82 v_X @
% 0.59/0.82 ( c_Message_Osynth @
% 0.59/0.82 ( c_Message_Oanalz @
% 0.59/0.82 ( c_Event_Oknows @ c_Message_Oagent_OSpy @ v_evsf ) ) ) @
% 0.59/0.82 tc_Message_Omsg ))).
% 0.59/0.82 thf(zf_stmt_1, negated_conjecture,
% 0.59/0.82 (c_in @
% 0.59/0.82 v_X @
% 0.59/0.82 ( c_Message_Osynth @
% 0.59/0.82 ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ v_evsf ) ) ) @
% 0.59/0.82 tc_Message_Omsg),
% 0.59/0.82 inference('cnf.neg', [status(esa)], [cls_conjecture_2])).
% 0.59/0.82 thf(zip_derived_cl2, plain,
% 0.59/0.82 ( (c_in @ v_X @
% 0.59/0.82 (c_Message_Osynth @
% 0.59/0.82 (c_Message_Oanalz @ (c_Event_Oknows @ c_Message_Oagent_OSpy @ v_evsf))) @
% 0.59/0.82 tc_Message_Omsg)),
% 0.59/0.82 inference('cnf', [status(esa)], [zf_stmt_1])).
% 0.59/0.82 thf(zip_derived_cl14, plain,
% 0.59/0.82 ( (c_in @
% 0.59/0.82 (c_Message_Omsg_OCrypt @ (c_Public_OshrK @ v_A) @
% 0.59/0.82 (c_Message_Omsg_OMPair @ v_NA_H @
% 0.59/0.82 (c_Message_Omsg_OMPair @ v_NA @
% 0.59/0.82 (c_Message_Omsg_OMPair @ (c_Message_Omsg_OAgent @ v_A_H) @
% 0.59/0.82 (c_Message_Omsg_OAgent @ v_A))))) @
% 0.59/0.82 (c_union @
% 0.59/0.82 (c_Message_Osynth @
% 0.59/0.82 (c_Message_Oanalz @
% 0.59/0.82 (c_Event_Oknows @ c_Message_Oagent_OSpy @ v_evsf))) @
% 0.59/0.82 (c_Message_Oparts @ (c_Event_Oknows @ c_Message_Oagent_OSpy @ v_evsf)) @
% 0.59/0.82 tc_Message_Omsg) @
% 0.59/0.82 tc_Message_Omsg)),
% 0.59/0.82 inference('demod', [status(thm)], [zip_derived_cl12, zip_derived_cl2])).
% 0.59/0.82 thf(cls_Set_OUnE_0, axiom,
% 0.59/0.82 (( ~( c_in @ V_c @ ( c_union @ V_A @ V_B @ T_a ) @ T_a ) ) |
% 0.59/0.82 ( c_in @ V_c @ V_B @ T_a ) | ( c_in @ V_c @ V_A @ T_a ))).
% 0.59/0.82 thf(zip_derived_cl10, plain,
% 0.59/0.82 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.59/0.82 (~ (c_in @ X0 @ (c_union @ X1 @ X2 @ X3) @ X3)
% 0.59/0.82 | (c_in @ X0 @ X2 @ X3)
% 0.59/0.82 | (c_in @ X0 @ X1 @ X3))),
% 0.59/0.82 inference('cnf', [status(esa)], [cls_Set_OUnE_0])).
% 0.59/0.82 thf(zip_derived_cl16, plain,
% 0.59/0.82 (( (c_in @
% 0.59/0.82 (c_Message_Omsg_OCrypt @ (c_Public_OshrK @ v_A) @
% 0.59/0.82 (c_Message_Omsg_OMPair @ v_NA_H @
% 0.59/0.82 (c_Message_Omsg_OMPair @ v_NA @
% 0.59/0.82 (c_Message_Omsg_OMPair @ (c_Message_Omsg_OAgent @ v_A_H) @
% 0.59/0.82 (c_Message_Omsg_OAgent @ v_A))))) @
% 0.59/0.82 (c_Message_Osynth @
% 0.59/0.82 (c_Message_Oanalz @
% 0.59/0.82 (c_Event_Oknows @ c_Message_Oagent_OSpy @ v_evsf))) @
% 0.59/0.82 tc_Message_Omsg)
% 0.59/0.82 | (c_in @
% 0.59/0.82 (c_Message_Omsg_OCrypt @ (c_Public_OshrK @ v_A) @
% 0.59/0.82 (c_Message_Omsg_OMPair @ v_NA_H @
% 0.59/0.82 (c_Message_Omsg_OMPair @ v_NA @
% 0.59/0.82 (c_Message_Omsg_OMPair @ (c_Message_Omsg_OAgent @ v_A_H) @
% 0.59/0.82 (c_Message_Omsg_OAgent @ v_A))))) @
% 0.59/0.82 (c_Message_Oparts @
% 0.59/0.82 (c_Event_Oknows @ c_Message_Oagent_OSpy @ v_evsf)) @
% 0.59/0.82 tc_Message_Omsg))),
% 0.59/0.82 inference('sup-', [status(thm)], [zip_derived_cl14, zip_derived_cl10])).
% 0.59/0.82 thf(cls_Message_OCrypt__synth_0, axiom,
% 0.59/0.82 (( ~( c_in @
% 0.59/0.82 ( c_Message_Omsg_OCrypt @ V_K @ V_X ) @ ( c_Message_Osynth @ V_H ) @
% 0.59/0.82 tc_Message_Omsg ) ) |
% 0.59/0.82 ( c_in @ ( c_Message_Omsg_OCrypt @ V_K @ V_X ) @ V_H @ tc_Message_Omsg ) |
% 0.59/0.82 ( c_in @ ( c_Message_Omsg_OKey @ V_K ) @ V_H @ tc_Message_Omsg ))).
% 0.59/0.82 thf(zip_derived_cl6, plain,
% 0.59/0.82 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.59/0.82 (~ (c_in @ (c_Message_Omsg_OCrypt @ X0 @ X1) @
% 0.59/0.82 (c_Message_Osynth @ X2) @ tc_Message_Omsg)
% 0.59/0.82 | (c_in @ (c_Message_Omsg_OCrypt @ X0 @ X1) @ X2 @ tc_Message_Omsg)
% 0.59/0.82 | (c_in @ (c_Message_Omsg_OKey @ X0) @ X2 @ tc_Message_Omsg))),
% 0.59/0.82 inference('cnf', [status(esa)], [cls_Message_OCrypt__synth_0])).
% 0.59/0.82 thf(zip_derived_cl18, plain,
% 0.59/0.82 (( (c_in @
% 0.59/0.82 (c_Message_Omsg_OCrypt @ (c_Public_OshrK @ v_A) @
% 0.59/0.82 (c_Message_Omsg_OMPair @ v_NA_H @
% 0.59/0.82 (c_Message_Omsg_OMPair @ v_NA @
% 0.59/0.82 (c_Message_Omsg_OMPair @ (c_Message_Omsg_OAgent @ v_A_H) @
% 0.59/0.82 (c_Message_Omsg_OAgent @ v_A))))) @
% 0.59/0.82 (c_Message_Oparts @ (c_Event_Oknows @ c_Message_Oagent_OSpy @ v_evsf)) @
% 0.59/0.82 tc_Message_Omsg)
% 0.59/0.82 | (c_in @ (c_Message_Omsg_OKey @ (c_Public_OshrK @ v_A)) @
% 0.59/0.82 (c_Message_Oanalz @
% 0.59/0.82 (c_Event_Oknows @ c_Message_Oagent_OSpy @ v_evsf)) @
% 0.59/0.82 tc_Message_Omsg)
% 0.59/0.82 | (c_in @
% 0.59/0.82 (c_Message_Omsg_OCrypt @ (c_Public_OshrK @ v_A) @
% 0.59/0.82 (c_Message_Omsg_OMPair @ v_NA_H @
% 0.59/0.82 (c_Message_Omsg_OMPair @ v_NA @
% 0.59/0.82 (c_Message_Omsg_OMPair @ (c_Message_Omsg_OAgent @ v_A_H) @
% 0.59/0.82 (c_Message_Omsg_OAgent @ v_A))))) @
% 0.59/0.82 (c_Message_Oanalz @
% 0.59/0.82 (c_Event_Oknows @ c_Message_Oagent_OSpy @ v_evsf)) @
% 0.59/0.82 tc_Message_Omsg))),
% 0.59/0.82 inference('sup-', [status(thm)], [zip_derived_cl16, zip_derived_cl6])).
% 0.59/0.82 thf(cls_Message_Oanalz__into__parts__dest_0, axiom,
% 0.59/0.82 (( ~( c_in @ V_c @ ( c_Message_Oanalz @ V_H ) @ tc_Message_Omsg ) ) |
% 0.59/0.82 ( c_in @ V_c @ ( c_Message_Oparts @ V_H ) @ tc_Message_Omsg ))).
% 0.59/0.82 thf(zip_derived_cl8, plain,
% 0.59/0.82 (![X0 : $i, X1 : $i]:
% 0.59/0.82 (~ (c_in @ X0 @ (c_Message_Oanalz @ X1) @ tc_Message_Omsg)
% 0.59/0.82 | (c_in @ X0 @ (c_Message_Oparts @ X1) @ tc_Message_Omsg))),
% 0.59/0.82 inference('cnf', [status(esa)], [cls_Message_Oanalz__into__parts__dest_0])).
% 0.59/0.82 thf(zip_derived_cl20, plain,
% 0.59/0.82 (( (c_in @ (c_Message_Omsg_OKey @ (c_Public_OshrK @ v_A)) @
% 0.59/0.82 (c_Message_Oanalz @ (c_Event_Oknows @ c_Message_Oagent_OSpy @ v_evsf)) @
% 0.59/0.82 tc_Message_Omsg)
% 0.59/0.82 | (c_in @
% 0.59/0.82 (c_Message_Omsg_OCrypt @ (c_Public_OshrK @ v_A) @
% 0.59/0.82 (c_Message_Omsg_OMPair @ v_NA_H @
% 0.59/0.82 (c_Message_Omsg_OMPair @ v_NA @
% 0.59/0.82 (c_Message_Omsg_OMPair @ (c_Message_Omsg_OAgent @ v_A_H) @
% 0.59/0.82 (c_Message_Omsg_OAgent @ v_A))))) @
% 0.59/0.82 (c_Message_Oparts @
% 0.59/0.82 (c_Event_Oknows @ c_Message_Oagent_OSpy @ v_evsf)) @
% 0.59/0.82 tc_Message_Omsg))),
% 0.59/0.82 inference('clc', [status(thm)], [zip_derived_cl18, zip_derived_cl8])).
% 0.59/0.82 thf(cls_conjecture_5, conjecture,
% 0.59/0.82 (~( ( ~( c_in @
% 0.59/0.82 ( c_Message_Omsg_OCrypt @
% 0.59/0.82 ( c_Public_OshrK @ v_A ) @
% 0.59/0.82 ( c_Message_Omsg_OMPair @
% 0.59/0.82 v_NA @
% 0.59/0.82 ( c_Message_Omsg_OMPair @
% 0.59/0.82 ( c_Message_Omsg_OAgent @ v_A ) @
% 0.59/0.82 ( c_Message_Omsg_OAgent @ v_B ) ) ) ) @
% 0.59/0.82 ( c_Message_Oparts @
% 0.59/0.82 ( c_Event_Oknows @ c_Message_Oagent_OSpy @ v_evsf ) ) @
% 0.59/0.82 tc_Message_Omsg ) ) |
% 0.59/0.82 ( ~( c_in @
% 0.59/0.82 ( c_Message_Omsg_OCrypt @
% 0.59/0.82 ( c_Public_OshrK @ v_A ) @
% 0.59/0.82 ( c_Message_Omsg_OMPair @
% 0.59/0.82 v_NA_H @
% 0.59/0.82 ( c_Message_Omsg_OMPair @
% 0.59/0.82 v_NA @
% 0.59/0.82 ( c_Message_Omsg_OMPair @
% 0.59/0.82 ( c_Message_Omsg_OAgent @ v_A_H ) @
% 0.59/0.82 ( c_Message_Omsg_OAgent @ v_A ) ) ) ) ) @
% 0.59/0.82 ( c_Message_Oparts @
% 0.59/0.82 ( c_Event_Oknows @ c_Message_Oagent_OSpy @ v_evsf ) ) @
% 0.59/0.82 tc_Message_Omsg ) ) ))).
% 0.59/0.82 thf(zf_stmt_2, negated_conjecture,
% 0.59/0.82 (( ~( c_in @
% 0.59/0.82 ( c_Message_Omsg_OCrypt @
% 0.59/0.82 ( c_Public_OshrK @ v_A ) @
% 0.59/0.82 ( c_Message_Omsg_OMPair @
% 0.59/0.82 v_NA @
% 0.59/0.82 ( c_Message_Omsg_OMPair @
% 0.59/0.82 ( c_Message_Omsg_OAgent @ v_A ) @
% 0.59/0.82 ( c_Message_Omsg_OAgent @ v_B ) ) ) ) @
% 0.59/0.82 ( c_Message_Oparts @
% 0.59/0.82 ( c_Event_Oknows @ c_Message_Oagent_OSpy @ v_evsf ) ) @
% 0.59/0.82 tc_Message_Omsg ) ) |
% 0.59/0.82 ( ~( c_in @
% 0.59/0.82 ( c_Message_Omsg_OCrypt @
% 0.59/0.82 ( c_Public_OshrK @ v_A ) @
% 0.59/0.82 ( c_Message_Omsg_OMPair @
% 0.59/0.82 v_NA_H @
% 0.59/0.82 ( c_Message_Omsg_OMPair @
% 0.59/0.82 v_NA @
% 0.59/0.82 ( c_Message_Omsg_OMPair @
% 0.59/0.82 ( c_Message_Omsg_OAgent @ v_A_H ) @
% 0.59/0.82 ( c_Message_Omsg_OAgent @ v_A ) ) ) ) ) @
% 0.59/0.82 ( c_Message_Oparts @
% 0.59/0.82 ( c_Event_Oknows @ c_Message_Oagent_OSpy @ v_evsf ) ) @
% 0.59/0.82 tc_Message_Omsg ) )),
% 0.59/0.82 inference('cnf.neg', [status(esa)], [cls_conjecture_5])).
% 0.59/0.82 thf(zip_derived_cl5, plain,
% 0.59/0.82 ((~ (c_in @
% 0.59/0.82 (c_Message_Omsg_OCrypt @ (c_Public_OshrK @ v_A) @
% 0.59/0.82 (c_Message_Omsg_OMPair @ v_NA @
% 0.59/0.82 (c_Message_Omsg_OMPair @ (c_Message_Omsg_OAgent @ v_A) @
% 0.59/0.82 (c_Message_Omsg_OAgent @ v_B)))) @
% 0.59/0.82 (c_Message_Oparts @
% 0.59/0.82 (c_Event_Oknows @ c_Message_Oagent_OSpy @ v_evsf)) @
% 0.59/0.82 tc_Message_Omsg)
% 0.59/0.82 | ~ (c_in @
% 0.59/0.82 (c_Message_Omsg_OCrypt @ (c_Public_OshrK @ v_A) @
% 0.59/0.82 (c_Message_Omsg_OMPair @ v_NA_H @
% 0.59/0.82 (c_Message_Omsg_OMPair @ v_NA @
% 0.59/0.82 (c_Message_Omsg_OMPair @ (c_Message_Omsg_OAgent @ v_A_H) @
% 0.59/0.82 (c_Message_Omsg_OAgent @ v_A))))) @
% 0.59/0.82 (c_Message_Oparts @
% 0.59/0.82 (c_Event_Oknows @ c_Message_Oagent_OSpy @ v_evsf)) @
% 0.59/0.82 tc_Message_Omsg))),
% 0.59/0.82 inference('cnf', [status(esa)], [zf_stmt_2])).
% 0.59/0.82 thf(zip_derived_cl21, plain,
% 0.59/0.82 (( (c_in @ (c_Message_Omsg_OKey @ (c_Public_OshrK @ v_A)) @
% 0.59/0.82 (c_Message_Oanalz @ (c_Event_Oknows @ c_Message_Oagent_OSpy @ v_evsf)) @
% 0.59/0.82 tc_Message_Omsg)
% 0.59/0.82 | ~ (c_in @
% 0.59/0.82 (c_Message_Omsg_OCrypt @ (c_Public_OshrK @ v_A) @
% 0.59/0.82 (c_Message_Omsg_OMPair @ v_NA @
% 0.59/0.82 (c_Message_Omsg_OMPair @ (c_Message_Omsg_OAgent @ v_A) @
% 0.59/0.82 (c_Message_Omsg_OAgent @ v_B)))) @
% 0.59/0.82 (c_Message_Oparts @
% 0.59/0.82 (c_Event_Oknows @ c_Message_Oagent_OSpy @ v_evsf)) @
% 0.59/0.82 tc_Message_Omsg))),
% 0.59/0.82 inference('sup-', [status(thm)], [zip_derived_cl20, zip_derived_cl5])).
% 0.59/0.82 thf(cls_conjecture_3, conjecture,
% 0.59/0.82 (~( c_in @
% 0.59/0.82 ( c_Message_Omsg_OCrypt @
% 0.59/0.82 ( c_Public_OshrK @ v_A ) @
% 0.59/0.82 ( c_Message_Omsg_OMPair @
% 0.59/0.82 v_NA @
% 0.59/0.82 ( c_Message_Omsg_OMPair @
% 0.59/0.82 ( c_Message_Omsg_OAgent @ v_A ) @ ( c_Message_Omsg_OAgent @ v_B ) ) ) ) @
% 0.59/0.82 ( c_Message_Oparts @
% 0.59/0.82 ( c_insert @
% 0.59/0.82 v_X @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ v_evsf ) @
% 0.59/0.82 tc_Message_Omsg ) ) @
% 0.59/0.82 tc_Message_Omsg ))).
% 0.59/0.82 thf(zf_stmt_3, negated_conjecture,
% 0.59/0.82 (c_in @
% 0.59/0.82 ( c_Message_Omsg_OCrypt @
% 0.59/0.82 ( c_Public_OshrK @ v_A ) @
% 0.59/0.82 ( c_Message_Omsg_OMPair @
% 0.59/0.82 v_NA @
% 0.59/0.82 ( c_Message_Omsg_OMPair @
% 0.59/0.82 ( c_Message_Omsg_OAgent @ v_A ) @ ( c_Message_Omsg_OAgent @ v_B ) ) ) ) @
% 0.59/0.82 ( c_Message_Oparts @
% 0.59/0.82 ( c_insert @
% 0.59/0.82 v_X @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ v_evsf ) @
% 0.59/0.82 tc_Message_Omsg ) ) @
% 0.59/0.82 tc_Message_Omsg),
% 0.59/0.82 inference('cnf.neg', [status(esa)], [cls_conjecture_3])).
% 0.59/0.82 thf(zip_derived_cl3, plain,
% 0.59/0.82 ( (c_in @
% 0.59/0.82 (c_Message_Omsg_OCrypt @ (c_Public_OshrK @ v_A) @
% 0.59/0.82 (c_Message_Omsg_OMPair @ v_NA @
% 0.59/0.82 (c_Message_Omsg_OMPair @ (c_Message_Omsg_OAgent @ v_A) @
% 0.59/0.82 (c_Message_Omsg_OAgent @ v_B)))) @
% 0.59/0.82 (c_Message_Oparts @
% 0.59/0.82 (c_insert @ v_X @
% 0.59/0.82 (c_Event_Oknows @ c_Message_Oagent_OSpy @ v_evsf) @ tc_Message_Omsg)) @
% 0.59/0.82 tc_Message_Omsg)),
% 0.59/0.82 inference('cnf', [status(esa)], [zf_stmt_3])).
% 0.59/0.82 thf(zip_derived_cl7, plain,
% 0.59/0.82 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.59/0.82 (~ (c_in @ X0 @
% 0.59/0.82 (c_Message_Oparts @ (c_insert @ X1 @ X2 @ tc_Message_Omsg)) @
% 0.59/0.82 tc_Message_Omsg)
% 0.59/0.82 | ~ (c_in @ X1 @ (c_Message_Osynth @ (c_Message_Oanalz @ X2)) @
% 0.59/0.82 tc_Message_Omsg)
% 0.59/0.82 | (c_in @ X0 @
% 0.59/0.82 (c_union @ (c_Message_Osynth @ (c_Message_Oanalz @ X2)) @
% 0.59/0.82 (c_Message_Oparts @ X2) @ tc_Message_Omsg) @
% 0.59/0.82 tc_Message_Omsg))),
% 0.59/0.82 inference('cnf', [status(esa)],
% 0.59/0.82 [cls_Message_OFake__parts__insert__in__Un__dest_0])).
% 0.59/0.82 thf(zip_derived_cl11, plain,
% 0.59/0.82 (( (c_in @
% 0.59/0.82 (c_Message_Omsg_OCrypt @ (c_Public_OshrK @ v_A) @
% 0.59/0.82 (c_Message_Omsg_OMPair @ v_NA @
% 0.59/0.82 (c_Message_Omsg_OMPair @ (c_Message_Omsg_OAgent @ v_A) @
% 0.59/0.82 (c_Message_Omsg_OAgent @ v_B)))) @
% 0.59/0.82 (c_union @
% 0.59/0.82 (c_Message_Osynth @
% 0.59/0.82 (c_Message_Oanalz @
% 0.59/0.82 (c_Event_Oknows @ c_Message_Oagent_OSpy @ v_evsf))) @
% 0.59/0.82 (c_Message_Oparts @
% 0.59/0.82 (c_Event_Oknows @ c_Message_Oagent_OSpy @ v_evsf)) @
% 0.59/0.82 tc_Message_Omsg) @
% 0.59/0.82 tc_Message_Omsg)
% 0.59/0.82 | ~ (c_in @ v_X @
% 0.59/0.82 (c_Message_Osynth @
% 0.59/0.82 (c_Message_Oanalz @
% 0.59/0.82 (c_Event_Oknows @ c_Message_Oagent_OSpy @ v_evsf))) @
% 0.59/0.82 tc_Message_Omsg))),
% 0.59/0.82 inference('sup-', [status(thm)], [zip_derived_cl3, zip_derived_cl7])).
% 0.59/0.82 thf(zip_derived_cl2, plain,
% 0.59/0.82 ( (c_in @ v_X @
% 0.59/0.82 (c_Message_Osynth @
% 0.59/0.82 (c_Message_Oanalz @ (c_Event_Oknows @ c_Message_Oagent_OSpy @ v_evsf))) @
% 0.59/0.82 tc_Message_Omsg)),
% 0.59/0.82 inference('cnf', [status(esa)], [zf_stmt_1])).
% 0.59/0.82 thf(zip_derived_cl13, plain,
% 0.59/0.82 ( (c_in @
% 0.59/0.82 (c_Message_Omsg_OCrypt @ (c_Public_OshrK @ v_A) @
% 0.59/0.82 (c_Message_Omsg_OMPair @ v_NA @
% 0.59/0.82 (c_Message_Omsg_OMPair @ (c_Message_Omsg_OAgent @ v_A) @
% 0.59/0.82 (c_Message_Omsg_OAgent @ v_B)))) @
% 0.59/0.82 (c_union @
% 0.59/0.82 (c_Message_Osynth @
% 0.59/0.82 (c_Message_Oanalz @
% 0.59/0.82 (c_Event_Oknows @ c_Message_Oagent_OSpy @ v_evsf))) @
% 0.59/0.82 (c_Message_Oparts @ (c_Event_Oknows @ c_Message_Oagent_OSpy @ v_evsf)) @
% 0.59/0.82 tc_Message_Omsg) @
% 0.59/0.82 tc_Message_Omsg)),
% 0.59/0.82 inference('demod', [status(thm)], [zip_derived_cl11, zip_derived_cl2])).
% 0.59/0.82 thf(zip_derived_cl10, plain,
% 0.59/0.82 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.59/0.82 (~ (c_in @ X0 @ (c_union @ X1 @ X2 @ X3) @ X3)
% 0.59/0.82 | (c_in @ X0 @ X2 @ X3)
% 0.59/0.82 | (c_in @ X0 @ X1 @ X3))),
% 0.59/0.82 inference('cnf', [status(esa)], [cls_Set_OUnE_0])).
% 0.59/0.82 thf(zip_derived_cl15, plain,
% 0.59/0.82 (( (c_in @
% 0.59/0.82 (c_Message_Omsg_OCrypt @ (c_Public_OshrK @ v_A) @
% 0.59/0.82 (c_Message_Omsg_OMPair @ v_NA @
% 0.59/0.82 (c_Message_Omsg_OMPair @ (c_Message_Omsg_OAgent @ v_A) @
% 0.59/0.82 (c_Message_Omsg_OAgent @ v_B)))) @
% 0.59/0.82 (c_Message_Osynth @
% 0.59/0.82 (c_Message_Oanalz @
% 0.59/0.82 (c_Event_Oknows @ c_Message_Oagent_OSpy @ v_evsf))) @
% 0.59/0.82 tc_Message_Omsg)
% 0.59/0.82 | (c_in @
% 0.59/0.82 (c_Message_Omsg_OCrypt @ (c_Public_OshrK @ v_A) @
% 0.59/0.82 (c_Message_Omsg_OMPair @ v_NA @
% 0.59/0.82 (c_Message_Omsg_OMPair @ (c_Message_Omsg_OAgent @ v_A) @
% 0.59/0.82 (c_Message_Omsg_OAgent @ v_B)))) @
% 0.59/0.82 (c_Message_Oparts @
% 0.59/0.82 (c_Event_Oknows @ c_Message_Oagent_OSpy @ v_evsf)) @
% 0.59/0.82 tc_Message_Omsg))),
% 0.59/0.82 inference('sup-', [status(thm)], [zip_derived_cl13, zip_derived_cl10])).
% 0.59/0.82 thf(zip_derived_cl6, plain,
% 0.59/0.82 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.59/0.82 (~ (c_in @ (c_Message_Omsg_OCrypt @ X0 @ X1) @
% 0.59/0.82 (c_Message_Osynth @ X2) @ tc_Message_Omsg)
% 0.59/0.82 | (c_in @ (c_Message_Omsg_OCrypt @ X0 @ X1) @ X2 @ tc_Message_Omsg)
% 0.59/0.82 | (c_in @ (c_Message_Omsg_OKey @ X0) @ X2 @ tc_Message_Omsg))),
% 0.59/0.82 inference('cnf', [status(esa)], [cls_Message_OCrypt__synth_0])).
% 0.59/0.82 thf(zip_derived_cl17, plain,
% 0.59/0.82 (( (c_in @
% 0.59/0.82 (c_Message_Omsg_OCrypt @ (c_Public_OshrK @ v_A) @
% 0.59/0.82 (c_Message_Omsg_OMPair @ v_NA @
% 0.59/0.82 (c_Message_Omsg_OMPair @ (c_Message_Omsg_OAgent @ v_A) @
% 0.59/0.82 (c_Message_Omsg_OAgent @ v_B)))) @
% 0.59/0.82 (c_Message_Oparts @ (c_Event_Oknows @ c_Message_Oagent_OSpy @ v_evsf)) @
% 0.59/0.82 tc_Message_Omsg)
% 0.59/0.82 | (c_in @ (c_Message_Omsg_OKey @ (c_Public_OshrK @ v_A)) @
% 0.59/0.82 (c_Message_Oanalz @
% 0.59/0.82 (c_Event_Oknows @ c_Message_Oagent_OSpy @ v_evsf)) @
% 0.59/0.82 tc_Message_Omsg)
% 0.59/0.82 | (c_in @
% 0.59/0.82 (c_Message_Omsg_OCrypt @ (c_Public_OshrK @ v_A) @
% 0.59/0.82 (c_Message_Omsg_OMPair @ v_NA @
% 0.59/0.82 (c_Message_Omsg_OMPair @ (c_Message_Omsg_OAgent @ v_A) @
% 0.59/0.82 (c_Message_Omsg_OAgent @ v_B)))) @
% 0.59/0.82 (c_Message_Oanalz @
% 0.59/0.82 (c_Event_Oknows @ c_Message_Oagent_OSpy @ v_evsf)) @
% 0.59/0.82 tc_Message_Omsg))),
% 0.59/0.82 inference('sup-', [status(thm)], [zip_derived_cl15, zip_derived_cl6])).
% 0.59/0.82 thf(zip_derived_cl8, plain,
% 0.59/0.82 (![X0 : $i, X1 : $i]:
% 0.59/0.82 (~ (c_in @ X0 @ (c_Message_Oanalz @ X1) @ tc_Message_Omsg)
% 0.59/0.82 | (c_in @ X0 @ (c_Message_Oparts @ X1) @ tc_Message_Omsg))),
% 0.59/0.82 inference('cnf', [status(esa)], [cls_Message_Oanalz__into__parts__dest_0])).
% 0.59/0.82 thf(zip_derived_cl19, plain,
% 0.59/0.82 (( (c_in @ (c_Message_Omsg_OKey @ (c_Public_OshrK @ v_A)) @
% 0.59/0.82 (c_Message_Oanalz @ (c_Event_Oknows @ c_Message_Oagent_OSpy @ v_evsf)) @
% 0.59/0.82 tc_Message_Omsg)
% 0.59/0.82 | (c_in @
% 0.59/0.82 (c_Message_Omsg_OCrypt @ (c_Public_OshrK @ v_A) @
% 0.59/0.82 (c_Message_Omsg_OMPair @ v_NA @
% 0.59/0.82 (c_Message_Omsg_OMPair @ (c_Message_Omsg_OAgent @ v_A) @
% 0.59/0.82 (c_Message_Omsg_OAgent @ v_B)))) @
% 0.59/0.82 (c_Message_Oparts @
% 0.59/0.82 (c_Event_Oknows @ c_Message_Oagent_OSpy @ v_evsf)) @
% 0.59/0.82 tc_Message_Omsg))),
% 0.59/0.82 inference('clc', [status(thm)], [zip_derived_cl17, zip_derived_cl8])).
% 0.59/0.82 thf(zip_derived_cl22, plain,
% 0.59/0.82 ( (c_in @ (c_Message_Omsg_OKey @ (c_Public_OshrK @ v_A)) @
% 0.59/0.82 (c_Message_Oanalz @ (c_Event_Oknows @ c_Message_Oagent_OSpy @ v_evsf)) @
% 0.59/0.82 tc_Message_Omsg)),
% 0.59/0.82 inference('clc', [status(thm)], [zip_derived_cl21, zip_derived_cl19])).
% 0.59/0.82 thf(zip_derived_cl8, plain,
% 0.59/0.82 (![X0 : $i, X1 : $i]:
% 0.59/0.82 (~ (c_in @ X0 @ (c_Message_Oanalz @ X1) @ tc_Message_Omsg)
% 0.59/0.82 | (c_in @ X0 @ (c_Message_Oparts @ X1) @ tc_Message_Omsg))),
% 0.59/0.82 inference('cnf', [status(esa)], [cls_Message_Oanalz__into__parts__dest_0])).
% 0.59/0.82 thf(zip_derived_cl23, plain,
% 0.59/0.82 ( (c_in @ (c_Message_Omsg_OKey @ (c_Public_OshrK @ v_A)) @
% 0.59/0.82 (c_Message_Oparts @ (c_Event_Oknows @ c_Message_Oagent_OSpy @ v_evsf)) @
% 0.59/0.82 tc_Message_Omsg)),
% 0.59/0.82 inference('sup-', [status(thm)], [zip_derived_cl22, zip_derived_cl8])).
% 0.59/0.82 thf(cls_OtwayRees_OSpy__see__shrK__D__dest_0, axiom,
% 0.59/0.82 (( ~( c_in @
% 0.59/0.82 V_evs @ c_OtwayRees_Ootway @ ( tc_List_Olist @ tc_Event_Oevent ) ) ) |
% 0.59/0.82 ( ~( c_in @
% 0.59/0.82 ( c_Message_Omsg_OKey @ ( c_Public_OshrK @ V_A ) ) @
% 0.59/0.82 ( c_Message_Oparts @
% 0.59/0.82 ( c_Event_Oknows @ c_Message_Oagent_OSpy @ V_evs ) ) @
% 0.59/0.82 tc_Message_Omsg ) ) |
% 0.59/0.82 ( c_in @ V_A @ c_Event_Obad @ tc_Message_Oagent ))).
% 0.59/0.82 thf(zip_derived_cl9, plain,
% 0.59/0.82 (![X0 : $i, X1 : $i]:
% 0.59/0.82 (~ (c_in @ X0 @ c_OtwayRees_Ootway @ (tc_List_Olist @ tc_Event_Oevent))
% 0.59/0.82 | ~ (c_in @ (c_Message_Omsg_OKey @ (c_Public_OshrK @ X1)) @
% 0.59/0.82 (c_Message_Oparts @
% 0.59/0.82 (c_Event_Oknows @ c_Message_Oagent_OSpy @ X0)) @
% 0.59/0.82 tc_Message_Omsg)
% 0.59/0.82 | (c_in @ X1 @ c_Event_Obad @ tc_Message_Oagent))),
% 0.59/0.82 inference('cnf', [status(esa)],
% 0.59/0.82 [cls_OtwayRees_OSpy__see__shrK__D__dest_0])).
% 0.59/0.82 thf(zip_derived_cl24, plain,
% 0.59/0.82 (( (c_in @ v_A @ c_Event_Obad @ tc_Message_Oagent)
% 0.59/0.82 | ~ (c_in @ v_evsf @ c_OtwayRees_Ootway @
% 0.59/0.82 (tc_List_Olist @ tc_Event_Oevent)))),
% 0.59/0.82 inference('sup-', [status(thm)], [zip_derived_cl23, zip_derived_cl9])).
% 0.59/0.82 thf(cls_conjecture_0, conjecture,
% 0.59/0.82 (c_in @ v_A @ c_Event_Obad @ tc_Message_Oagent)).
% 0.59/0.82 thf(zf_stmt_4, negated_conjecture,
% 0.59/0.82 (~( c_in @ v_A @ c_Event_Obad @ tc_Message_Oagent )),
% 0.59/0.82 inference('cnf.neg', [status(esa)], [cls_conjecture_0])).
% 0.59/0.82 thf(zip_derived_cl0, plain,
% 0.59/0.82 (~ (c_in @ v_A @ c_Event_Obad @ tc_Message_Oagent)),
% 0.59/0.82 inference('cnf', [status(esa)], [zf_stmt_4])).
% 0.59/0.82 thf(cls_conjecture_1, conjecture,
% 0.59/0.82 (~( c_in @
% 0.59/0.82 v_evsf @ c_OtwayRees_Ootway @ ( tc_List_Olist @ tc_Event_Oevent ) ))).
% 0.59/0.82 thf(zf_stmt_5, negated_conjecture,
% 0.59/0.82 (c_in @ v_evsf @ c_OtwayRees_Ootway @ ( tc_List_Olist @ tc_Event_Oevent )),
% 0.59/0.82 inference('cnf.neg', [status(esa)], [cls_conjecture_1])).
% 0.59/0.82 thf(zip_derived_cl1, plain,
% 0.59/0.82 ( (c_in @ v_evsf @ c_OtwayRees_Ootway @ (tc_List_Olist @ tc_Event_Oevent))),
% 0.59/0.82 inference('cnf', [status(esa)], [zf_stmt_5])).
% 0.59/0.82 thf(zip_derived_cl25, plain, ($false),
% 0.59/0.82 inference('demod', [status(thm)],
% 0.59/0.82 [zip_derived_cl24, zip_derived_cl0, zip_derived_cl1])).
% 0.59/0.82
% 0.59/0.82 % SZS output end Refutation
% 0.59/0.82
% 0.59/0.82
% 0.59/0.82 % Terminating...
% 1.82/0.87 % Runner terminated.
% 1.83/0.89 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------