↑ Up

Zipperpin---2.1.9999.UNS-Ref.s

View TPTP
Problem
Process solution in
SystemOnTSTP
Download .tgz
%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SWV802-1 : 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.gKBX2mFfvQ true

% Computer : n028.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 05:02:00 PM UTC 2025

% Result   : Unsatisfiable 18.06s 3.24s
% Output   : Refutation 18.06s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem  : SWV802-1 : TPTP v9.2.0. Released v4.1.0.
% 0.07/0.14  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.gKBX2mFfvQ true
% 0.14/0.36  % Computer : n028.cluster.edu
% 0.14/0.36  % Model    : x86_64 x86_64
% 0.14/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36  % Memory   : 8042.1875MB
% 0.14/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36  % CPULimit : 300
% 0.14/0.36  % WCLimit  : 300
% 0.14/0.36  % DateTime : Wed Oct  1 12:40:53 EDT 2025
% 0.14/0.36  % CPUTime  : 
% 0.14/0.36  % Running portfolio for 300 s
% 0.14/0.36  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.36  % Number of cores: 8
% 0.14/0.36  % Python version: Python 3.6.8
% 0.14/0.36  % Running in FO mode
% 0.57/0.64  % Total configuration time : 435
% 0.57/0.64  % Estimated wc time : 1092
% 0.57/0.64  % Estimated cpu time (7 cpus) : 156.0
% 0.58/0.74  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.58/0.74  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.58/0.74  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.58/0.74  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.58/0.74  % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.58/0.75  % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.58/0.78  % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 18.06/3.24  % Solved by fo/fo4.sh.
% 18.06/3.24  % done 943 iterations in 2.439s
% 18.06/3.24  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 18.06/3.24  % SZS output start Refutation
% 18.06/3.24  thf(v_Ka_type, type, v_Ka: $i).
% 18.06/3.24  thf(c_Message_Omsg_ONonce_type, type, c_Message_Omsg_ONonce: $i > $i).
% 18.06/3.24  thf(v_K_type, type, v_K: $i).
% 18.06/3.24  thf(c_Message_Omsg_OMPair_type, type, c_Message_Omsg_OMPair: $i > $i > $i).
% 18.06/3.24  thf(v_Ba_type, type, v_Ba: $i).
% 18.06/3.24  thf(v_Aa_type, type, v_Aa: $i).
% 18.06/3.24  thf(hAPP_type, type, hAPP: $i > $i > $i).
% 18.06/3.24  thf(c_Set_Oinsert_type, type, c_Set_Oinsert: $i > $i > $i > $i).
% 18.06/3.24  thf(c_Message_Oparts_type, type, c_Message_Oparts: $i > $i).
% 18.06/3.24  thf(tc_Event_Oevent_type, type, tc_Event_Oevent: $i).
% 18.06/3.24  thf(c_List_Oset_type, type, c_List_Oset: $i > $i > $i).
% 18.06/3.24  thf(v_S_type, type, v_S: $i).
% 18.06/3.24  thf(c_Message_Omsg_OAgent_type, type, c_Message_Omsg_OAgent: $i > $i).
% 18.06/3.24  thf(c_Message_Oagent_OSpy_type, type, c_Message_Oagent_OSpy: $i).
% 18.06/3.24  thf(c_Event_Oknows_type, type, c_Event_Oknows: $i > $i > $i).
% 18.06/3.24  thf(v_evs3_type, type, v_evs3: $i).
% 18.06/3.24  thf(c_Event_Oevent_OSays_type, type, c_Event_Oevent_OSays: $i > $i > $i > $i).
% 18.06/3.24  thf(tc_Message_Omsg_type, type, tc_Message_Omsg: $i).
% 18.06/3.24  thf(c_in_type, type, c_in: $i > $i > $i > $o).
% 18.06/3.24  thf(c_Message_Omsg_OCrypt_type, type, c_Message_Omsg_OCrypt: $i > $i > $i).
% 18.06/3.24  thf(v_NA_type, type, v_NA: $i).
% 18.06/3.24  thf(v_NB_type, type, v_NB: $i).
% 18.06/3.24  thf(v_NAa_type, type, v_NAa: $i).
% 18.06/3.24  thf(v_A_type, type, v_A: $i).
% 18.06/3.24  thf(c_Public_OshrK_type, type, c_Public_OshrK: $i).
% 18.06/3.24  thf(v_B_type, type, v_B: $i).
% 18.06/3.24  thf(v_X_type, type, v_X: $i).
% 18.06/3.24  thf(v_Xa_type, type, v_Xa: $i).
% 18.06/3.24  thf(c_Message_Omsg_OKey_type, type, c_Message_Omsg_OKey: $i).
% 18.06/3.24  thf(cls_conjecture_10, conjecture,
% 18.06/3.24    (~( ( ~( c_in @
% 18.06/3.24             ( c_Message_Omsg_OCrypt @
% 18.06/3.24               ( hAPP @ c_Public_OshrK @ v_A ) @ 
% 18.06/3.24               ( c_Message_Omsg_OMPair @
% 18.06/3.24                 ( c_Message_Omsg_ONonce @ v_NA ) @ 
% 18.06/3.24                 ( c_Message_Omsg_OMPair @
% 18.06/3.24                   ( c_Message_Omsg_OAgent @ v_B ) @ 
% 18.06/3.24                   ( c_Message_Omsg_OMPair @
% 18.06/3.24                     ( hAPP @ c_Message_Omsg_OKey @ v_K ) @ v_X ) ) ) ) @ 
% 18.06/3.24             ( c_Message_Oparts @
% 18.06/3.24               ( c_Event_Oknows @ c_Message_Oagent_OSpy @ v_evs3 ) ) @ 
% 18.06/3.24             tc_Message_Omsg ) ) | 
% 18.06/3.24        ( ~( c_in @
% 18.06/3.24             ( c_Message_Omsg_OCrypt @
% 18.06/3.24               v_K @ 
% 18.06/3.24               ( c_Message_Omsg_OMPair @
% 18.06/3.24                 ( c_Message_Omsg_ONonce @ v_NB ) @ 
% 18.06/3.24                 ( c_Message_Omsg_ONonce @ v_NB ) ) ) @ 
% 18.06/3.24             ( c_Message_Oparts @
% 18.06/3.24               ( c_Event_Oknows @ c_Message_Oagent_OSpy @ v_evs3 ) ) @ 
% 18.06/3.24             tc_Message_Omsg ) ) | 
% 18.06/3.24        ( c_in @
% 18.06/3.24          ( c_Event_Oevent_OSays @
% 18.06/3.24            v_A @ v_B @ 
% 18.06/3.24            ( c_Message_Omsg_OCrypt @
% 18.06/3.24              v_K @ 
% 18.06/3.24              ( c_Message_Omsg_OMPair @
% 18.06/3.24                ( c_Message_Omsg_ONonce @ v_NB ) @ 
% 18.06/3.24                ( c_Message_Omsg_ONonce @ v_NB ) ) ) ) @ 
% 18.06/3.24          ( c_List_Oset @ v_evs3 @ tc_Event_Oevent ) @ tc_Event_Oevent ) ))).
% 18.06/3.24  thf(zf_stmt_0, negated_conjecture,
% 18.06/3.24    (( ~( c_in @
% 18.06/3.24          ( c_Message_Omsg_OCrypt @
% 18.06/3.24            ( hAPP @ c_Public_OshrK @ v_A ) @ 
% 18.06/3.24            ( c_Message_Omsg_OMPair @
% 18.06/3.24              ( c_Message_Omsg_ONonce @ v_NA ) @ 
% 18.06/3.24              ( c_Message_Omsg_OMPair @
% 18.06/3.24                ( c_Message_Omsg_OAgent @ v_B ) @ 
% 18.06/3.24                ( c_Message_Omsg_OMPair @
% 18.06/3.24                  ( hAPP @ c_Message_Omsg_OKey @ v_K ) @ v_X ) ) ) ) @ 
% 18.06/3.24          ( c_Message_Oparts @
% 18.06/3.24            ( c_Event_Oknows @ c_Message_Oagent_OSpy @ v_evs3 ) ) @ 
% 18.06/3.24          tc_Message_Omsg ) ) | 
% 18.06/3.24     ( ~( c_in @
% 18.06/3.24          ( c_Message_Omsg_OCrypt @
% 18.06/3.24            v_K @ 
% 18.06/3.24            ( c_Message_Omsg_OMPair @
% 18.06/3.24              ( c_Message_Omsg_ONonce @ v_NB ) @ 
% 18.06/3.24              ( c_Message_Omsg_ONonce @ v_NB ) ) ) @ 
% 18.06/3.24          ( c_Message_Oparts @
% 18.06/3.24            ( c_Event_Oknows @ c_Message_Oagent_OSpy @ v_evs3 ) ) @ 
% 18.06/3.24          tc_Message_Omsg ) ) | 
% 18.06/3.24     ( c_in @
% 18.06/3.24       ( c_Event_Oevent_OSays @
% 18.06/3.24         v_A @ v_B @ 
% 18.06/3.24         ( c_Message_Omsg_OCrypt @
% 18.06/3.24           v_K @ 
% 18.06/3.24           ( c_Message_Omsg_OMPair @
% 18.06/3.24             ( c_Message_Omsg_ONonce @ v_NB ) @ 
% 18.06/3.24             ( c_Message_Omsg_ONonce @ v_NB ) ) ) ) @ 
% 18.06/3.24       ( c_List_Oset @ v_evs3 @ tc_Event_Oevent ) @ tc_Event_Oevent )),
% 18.06/3.24    inference('cnf.neg', [status(esa)], [cls_conjecture_10])).
% 18.06/3.24  thf(zip_derived_cl201, plain,
% 18.06/3.24      ((~ (c_in @ 
% 18.06/3.24           (c_Message_Omsg_OCrypt @ (hAPP @ c_Public_OshrK @ v_A) @ 
% 18.06/3.24            (c_Message_Omsg_OMPair @ (c_Message_Omsg_ONonce @ v_NA) @ 
% 18.06/3.24             (c_Message_Omsg_OMPair @ (c_Message_Omsg_OAgent @ v_B) @ 
% 18.06/3.24              (c_Message_Omsg_OMPair @ (hAPP @ c_Message_Omsg_OKey @ v_K) @ v_X)))) @ 
% 18.06/3.24           (c_Message_Oparts @ 
% 18.06/3.24            (c_Event_Oknows @ c_Message_Oagent_OSpy @ v_evs3)) @ 
% 18.06/3.24           tc_Message_Omsg)
% 18.06/3.24        | ~ (c_in @ 
% 18.06/3.24             (c_Message_Omsg_OCrypt @ v_K @ 
% 18.06/3.24              (c_Message_Omsg_OMPair @ (c_Message_Omsg_ONonce @ v_NB) @ 
% 18.06/3.24               (c_Message_Omsg_ONonce @ v_NB))) @ 
% 18.06/3.24             (c_Message_Oparts @ 
% 18.06/3.24              (c_Event_Oknows @ c_Message_Oagent_OSpy @ v_evs3)) @ 
% 18.06/3.24             tc_Message_Omsg)
% 18.06/3.24        |  (c_in @ 
% 18.06/3.24            (c_Event_Oevent_OSays @ v_A @ v_B @ 
% 18.06/3.24             (c_Message_Omsg_OCrypt @ v_K @ 
% 18.06/3.24              (c_Message_Omsg_OMPair @ (c_Message_Omsg_ONonce @ v_NB) @ 
% 18.06/3.24               (c_Message_Omsg_ONonce @ v_NB)))) @ 
% 18.06/3.24            (c_List_Oset @ v_evs3 @ tc_Event_Oevent) @ tc_Event_Oevent))),
% 18.06/3.24      inference('cnf', [status(esa)], [zf_stmt_0])).
% 18.06/3.24  thf(cls_conjecture_9, conjecture,
% 18.06/3.24    (c_in @
% 18.06/3.24     ( c_Event_Oevent_OSays @
% 18.06/3.24       v_A @ v_B @ 
% 18.06/3.24       ( c_Message_Omsg_OCrypt @
% 18.06/3.24         v_K @ 
% 18.06/3.24         ( c_Message_Omsg_OMPair @
% 18.06/3.24           ( c_Message_Omsg_ONonce @ v_NB ) @ ( c_Message_Omsg_ONonce @ v_NB ) ) ) ) @ 
% 18.06/3.24     ( c_List_Oset @ v_evs3 @ tc_Event_Oevent ) @ tc_Event_Oevent)).
% 18.06/3.24  thf(zf_stmt_1, negated_conjecture,
% 18.06/3.24    (~( c_in @
% 18.06/3.24        ( c_Event_Oevent_OSays @
% 18.06/3.24          v_A @ v_B @ 
% 18.06/3.24          ( c_Message_Omsg_OCrypt @
% 18.06/3.24            v_K @ 
% 18.06/3.24            ( c_Message_Omsg_OMPair @
% 18.06/3.24              ( c_Message_Omsg_ONonce @ v_NB ) @ 
% 18.06/3.24              ( c_Message_Omsg_ONonce @ v_NB ) ) ) ) @ 
% 18.06/3.24        ( c_List_Oset @ v_evs3 @ tc_Event_Oevent ) @ tc_Event_Oevent )),
% 18.06/3.24    inference('cnf.neg', [status(esa)], [cls_conjecture_9])).
% 18.06/3.24  thf(zip_derived_cl202, plain,
% 18.06/3.24      (~ (c_in @ 
% 18.06/3.24          (c_Event_Oevent_OSays @ v_A @ v_B @ 
% 18.06/3.24           (c_Message_Omsg_OCrypt @ v_K @ 
% 18.06/3.24            (c_Message_Omsg_OMPair @ (c_Message_Omsg_ONonce @ v_NB) @ 
% 18.06/3.24             (c_Message_Omsg_ONonce @ v_NB)))) @ 
% 18.06/3.24          (c_List_Oset @ v_evs3 @ tc_Event_Oevent) @ tc_Event_Oevent)),
% 18.06/3.24      inference('cnf', [status(esa)], [zf_stmt_1])).
% 18.06/3.24  thf(zip_derived_cl794, plain,
% 18.06/3.24      ((~ (c_in @ 
% 18.06/3.24           (c_Message_Omsg_OCrypt @ (hAPP @ c_Public_OshrK @ v_A) @ 
% 18.06/3.24            (c_Message_Omsg_OMPair @ (c_Message_Omsg_ONonce @ v_NA) @ 
% 18.06/3.24             (c_Message_Omsg_OMPair @ (c_Message_Omsg_OAgent @ v_B) @ 
% 18.06/3.24              (c_Message_Omsg_OMPair @ (hAPP @ c_Message_Omsg_OKey @ v_K) @ v_X)))) @ 
% 18.06/3.24           (c_Message_Oparts @ 
% 18.06/3.24            (c_Event_Oknows @ c_Message_Oagent_OSpy @ v_evs3)) @ 
% 18.06/3.24           tc_Message_Omsg)
% 18.06/3.24        | ~ (c_in @ 
% 18.06/3.24             (c_Message_Omsg_OCrypt @ v_K @ 
% 18.06/3.24              (c_Message_Omsg_OMPair @ (c_Message_Omsg_ONonce @ v_NB) @ 
% 18.06/3.24               (c_Message_Omsg_ONonce @ v_NB))) @ 
% 18.06/3.24             (c_Message_Oparts @ 
% 18.06/3.24              (c_Event_Oknows @ c_Message_Oagent_OSpy @ v_evs3)) @ 
% 18.06/3.24             tc_Message_Omsg))),
% 18.06/3.24      inference('demod', [status(thm)], [zip_derived_cl201, zip_derived_cl202])).
% 18.06/3.24  thf(cls_parts__cut__eq_0, axiom,
% 18.06/3.24    (( ( c_Message_Oparts @ ( c_Set_Oinsert @ V_X @ V_H @ tc_Message_Omsg ) ) =
% 18.06/3.24       ( c_Message_Oparts @ V_H ) ) | 
% 18.06/3.24     ( ~( c_in @ V_X @ ( c_Message_Oparts @ V_H ) @ tc_Message_Omsg ) ))).
% 18.06/3.24  thf(zip_derived_cl119, plain,
% 18.06/3.24      (![X0 : $i, X1 : $i]:
% 18.06/3.24         (((c_Message_Oparts @ (c_Set_Oinsert @ X1 @ X0 @ tc_Message_Omsg))
% 18.06/3.24            = (c_Message_Oparts @ X0))
% 18.06/3.24          | ~ (c_in @ X1 @ (c_Message_Oparts @ X0) @ tc_Message_Omsg))),
% 18.06/3.24      inference('cnf', [status(esa)], [cls_parts__cut__eq_0])).
% 18.06/3.24  thf(cls_conjecture_8, conjecture,
% 18.06/3.24    (~( c_in @
% 18.06/3.24        ( c_Message_Omsg_OCrypt @
% 18.06/3.24          v_K @ 
% 18.06/3.24          ( c_Message_Omsg_OMPair @
% 18.06/3.24            ( c_Message_Omsg_ONonce @ v_NB ) @ ( c_Message_Omsg_ONonce @ v_NB ) ) ) @ 
% 18.06/3.24        ( c_Message_Oparts @
% 18.06/3.24          ( c_Set_Oinsert @
% 18.06/3.24            v_Xa @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ v_evs3 ) @ 
% 18.06/3.24            tc_Message_Omsg ) ) @ 
% 18.06/3.24        tc_Message_Omsg ))).
% 18.06/3.24  thf(zf_stmt_2, negated_conjecture,
% 18.06/3.24    (c_in @
% 18.06/3.24     ( c_Message_Omsg_OCrypt @
% 18.06/3.24       v_K @ 
% 18.06/3.24       ( c_Message_Omsg_OMPair @
% 18.06/3.24         ( c_Message_Omsg_ONonce @ v_NB ) @ ( c_Message_Omsg_ONonce @ v_NB ) ) ) @ 
% 18.06/3.24     ( c_Message_Oparts @
% 18.06/3.24       ( c_Set_Oinsert @
% 18.06/3.24         v_Xa @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ v_evs3 ) @ 
% 18.06/3.24         tc_Message_Omsg ) ) @ 
% 18.06/3.24     tc_Message_Omsg),
% 18.06/3.24    inference('cnf.neg', [status(esa)], [cls_conjecture_8])).
% 18.06/3.24  thf(zip_derived_cl203, plain,
% 18.06/3.24      ( (c_in @ 
% 18.06/3.24         (c_Message_Omsg_OCrypt @ v_K @ 
% 18.06/3.24          (c_Message_Omsg_OMPair @ (c_Message_Omsg_ONonce @ v_NB) @ 
% 18.06/3.24           (c_Message_Omsg_ONonce @ v_NB))) @ 
% 18.06/3.24         (c_Message_Oparts @ 
% 18.06/3.24          (c_Set_Oinsert @ v_Xa @ 
% 18.06/3.24           (c_Event_Oknows @ c_Message_Oagent_OSpy @ v_evs3) @ tc_Message_Omsg)) @ 
% 18.06/3.24         tc_Message_Omsg)),
% 18.06/3.24      inference('cnf', [status(esa)], [zf_stmt_2])).
% 18.06/3.24  thf(zip_derived_cl15891, plain,
% 18.06/3.24      (( (c_in @ 
% 18.06/3.24          (c_Message_Omsg_OCrypt @ v_K @ 
% 18.06/3.24           (c_Message_Omsg_OMPair @ (c_Message_Omsg_ONonce @ v_NB) @ 
% 18.06/3.24            (c_Message_Omsg_ONonce @ v_NB))) @ 
% 18.06/3.24          (c_Message_Oparts @ (c_Event_Oknows @ c_Message_Oagent_OSpy @ v_evs3)) @ 
% 18.06/3.24          tc_Message_Omsg)
% 18.06/3.24        | ~ (c_in @ v_Xa @ 
% 18.06/3.24             (c_Message_Oparts @ 
% 18.06/3.24              (c_Event_Oknows @ c_Message_Oagent_OSpy @ v_evs3)) @ 
% 18.06/3.24             tc_Message_Omsg))),
% 18.06/3.24      inference('sup+', [status(thm)], [zip_derived_cl119, zip_derived_cl203])).
% 18.06/3.24  thf(cls_conjecture_4, conjecture,
% 18.06/3.24    (~( c_in @
% 18.06/3.24        ( c_Event_Oevent_OSays @
% 18.06/3.24          v_S @ v_Aa @ 
% 18.06/3.24          ( c_Message_Omsg_OCrypt @
% 18.06/3.24            ( hAPP @ c_Public_OshrK @ v_Aa ) @ 
% 18.06/3.24            ( c_Message_Omsg_OMPair @
% 18.06/3.24              ( c_Message_Omsg_ONonce @ v_NAa ) @ 
% 18.06/3.24              ( c_Message_Omsg_OMPair @
% 18.06/3.24                ( c_Message_Omsg_OAgent @ v_Ba ) @ 
% 18.06/3.24                ( c_Message_Omsg_OMPair @
% 18.06/3.24                  ( hAPP @ c_Message_Omsg_OKey @ v_Ka ) @ v_Xa ) ) ) ) ) @ 
% 18.06/3.24        ( c_List_Oset @ v_evs3 @ tc_Event_Oevent ) @ tc_Event_Oevent ))).
% 18.06/3.24  thf(zf_stmt_3, negated_conjecture,
% 18.06/3.24    (c_in @
% 18.06/3.24     ( c_Event_Oevent_OSays @
% 18.06/3.24       v_S @ v_Aa @ 
% 18.06/3.24       ( c_Message_Omsg_OCrypt @
% 18.06/3.24         ( hAPP @ c_Public_OshrK @ v_Aa ) @ 
% 18.06/3.24         ( c_Message_Omsg_OMPair @
% 18.06/3.24           ( c_Message_Omsg_ONonce @ v_NAa ) @ 
% 18.06/3.24           ( c_Message_Omsg_OMPair @
% 18.06/3.24             ( c_Message_Omsg_OAgent @ v_Ba ) @ 
% 18.06/3.24             ( c_Message_Omsg_OMPair @
% 18.06/3.24               ( hAPP @ c_Message_Omsg_OKey @ v_Ka ) @ v_Xa ) ) ) ) ) @ 
% 18.06/3.24     ( c_List_Oset @ v_evs3 @ tc_Event_Oevent ) @ tc_Event_Oevent),
% 18.06/3.24    inference('cnf.neg', [status(esa)], [cls_conjecture_4])).
% 18.06/3.24  thf(zip_derived_cl207, plain,
% 18.06/3.24      ( (c_in @ 
% 18.06/3.24         (c_Event_Oevent_OSays @ v_S @ v_Aa @ 
% 18.06/3.24          (c_Message_Omsg_OCrypt @ (hAPP @ c_Public_OshrK @ v_Aa) @ 
% 18.06/3.24           (c_Message_Omsg_OMPair @ (c_Message_Omsg_ONonce @ v_NAa) @ 
% 18.06/3.24            (c_Message_Omsg_OMPair @ (c_Message_Omsg_OAgent @ v_Ba) @ 
% 18.06/3.24             (c_Message_Omsg_OMPair @ (hAPP @ c_Message_Omsg_OKey @ v_Ka) @ 
% 18.06/3.24              v_Xa))))) @ 
% 18.06/3.24         (c_List_Oset @ v_evs3 @ tc_Event_Oevent) @ tc_Event_Oevent)),
% 18.06/3.24      inference('cnf', [status(esa)], [zf_stmt_3])).
% 18.06/3.24  thf(cls_Says__imp__spies_0, axiom,
% 18.06/3.24    (( c_in @
% 18.06/3.24       V_X @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ V_evs ) @ 
% 18.06/3.24       tc_Message_Omsg ) | 
% 18.06/3.24     ( ~( c_in @
% 18.06/3.24          ( c_Event_Oevent_OSays @ V_A @ V_B @ V_X ) @ 
% 18.06/3.24          ( c_List_Oset @ V_evs @ tc_Event_Oevent ) @ tc_Event_Oevent ) ))).
% 18.06/3.24  thf(zip_derived_cl117, plain,
% 18.06/3.24      (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 18.06/3.24         ( (c_in @ X0 @ (c_Event_Oknows @ c_Message_Oagent_OSpy @ X1) @ 
% 18.06/3.24            tc_Message_Omsg)
% 18.06/3.24          | ~ (c_in @ (c_Event_Oevent_OSays @ X2 @ X3 @ X0) @ 
% 18.06/3.24               (c_List_Oset @ X1 @ tc_Event_Oevent) @ tc_Event_Oevent))),
% 18.06/3.24      inference('cnf', [status(esa)], [cls_Says__imp__spies_0])).
% 18.06/3.24  thf(zip_derived_cl7212, plain,
% 18.06/3.24      ( (c_in @ 
% 18.06/3.24         (c_Message_Omsg_OCrypt @ (hAPP @ c_Public_OshrK @ v_Aa) @ 
% 18.06/3.24          (c_Message_Omsg_OMPair @ (c_Message_Omsg_ONonce @ v_NAa) @ 
% 18.06/3.24           (c_Message_Omsg_OMPair @ (c_Message_Omsg_OAgent @ v_Ba) @ 
% 18.06/3.24            (c_Message_Omsg_OMPair @ (hAPP @ c_Message_Omsg_OKey @ v_Ka) @ v_Xa)))) @ 
% 18.06/3.24         (c_Event_Oknows @ c_Message_Oagent_OSpy @ v_evs3) @ tc_Message_Omsg)),
% 18.06/3.24      inference('sup-', [status(thm)], [zip_derived_cl207, zip_derived_cl117])).
% 18.06/3.24  thf(cls_parts_OInj_0, axiom,
% 18.06/3.24    (( c_in @ V_X @ ( c_Message_Oparts @ V_H ) @ tc_Message_Omsg ) | 
% 18.06/3.24     ( ~( c_in @ V_X @ V_H @ tc_Message_Omsg ) ))).
% 18.06/3.24  thf(zip_derived_cl114, plain,
% 18.06/3.24      (![X0 : $i, X1 : $i]:
% 18.06/3.24         ( (c_in @ X0 @ (c_Message_Oparts @ X1) @ tc_Message_Omsg)
% 18.06/3.24          | ~ (c_in @ X0 @ X1 @ tc_Message_Omsg))),
% 18.06/3.24      inference('cnf', [status(esa)], [cls_parts_OInj_0])).
% 18.06/3.24  thf(cls_parts_OBody_0, axiom,
% 18.06/3.24    (( c_in @ V_X @ ( c_Message_Oparts @ V_H ) @ tc_Message_Omsg ) | 
% 18.06/3.24     ( ~( c_in @
% 18.06/3.24          ( c_Message_Omsg_OCrypt @ V_K @ V_X ) @ ( c_Message_Oparts @ V_H ) @ 
% 18.06/3.24          tc_Message_Omsg ) ))).
% 18.06/3.24  thf(zip_derived_cl131, plain,
% 18.06/3.24      (![X0 : $i, X1 : $i, X2 : $i]:
% 18.06/3.24         ( (c_in @ X0 @ (c_Message_Oparts @ X1) @ tc_Message_Omsg)
% 18.06/3.24          | ~ (c_in @ (c_Message_Omsg_OCrypt @ X2 @ X0) @ 
% 18.06/3.24               (c_Message_Oparts @ X1) @ tc_Message_Omsg))),
% 18.06/3.24      inference('cnf', [status(esa)], [cls_parts_OBody_0])).
% 18.06/3.24  thf(zip_derived_cl3748, plain,
% 18.06/3.24      (![X0 : $i, X1 : $i, X2 : $i]:
% 18.06/3.24         (~ (c_in @ (c_Message_Omsg_OCrypt @ X2 @ X1) @ X0 @ tc_Message_Omsg)
% 18.06/3.24          |  (c_in @ X1 @ (c_Message_Oparts @ X0) @ tc_Message_Omsg))),
% 18.06/3.24      inference('sup-', [status(thm)], [zip_derived_cl114, zip_derived_cl131])).
% 18.06/3.24  thf(zip_derived_cl9194, plain,
% 18.06/3.24      ( (c_in @ 
% 18.06/3.24         (c_Message_Omsg_OMPair @ (c_Message_Omsg_ONonce @ v_NAa) @ 
% 18.06/3.24          (c_Message_Omsg_OMPair @ (c_Message_Omsg_OAgent @ v_Ba) @ 
% 18.06/3.24           (c_Message_Omsg_OMPair @ (hAPP @ c_Message_Omsg_OKey @ v_Ka) @ v_Xa))) @ 
% 18.06/3.24         (c_Message_Oparts @ (c_Event_Oknows @ c_Message_Oagent_OSpy @ v_evs3)) @ 
% 18.06/3.24         tc_Message_Omsg)),
% 18.06/3.24      inference('sup-', [status(thm)], [zip_derived_cl7212, zip_derived_cl3748])).
% 18.06/3.24  thf(cls_parts_OSnd_0, axiom,
% 18.06/3.24    (( c_in @ V_Y @ ( c_Message_Oparts @ V_H ) @ tc_Message_Omsg ) | 
% 18.06/3.24     ( ~( c_in @
% 18.06/3.24          ( c_Message_Omsg_OMPair @ V_X @ V_Y ) @ ( c_Message_Oparts @ V_H ) @ 
% 18.06/3.24          tc_Message_Omsg ) ))).
% 18.06/3.24  thf(zip_derived_cl96, plain,
% 18.06/3.24      (![X0 : $i, X1 : $i, X2 : $i]:
% 18.06/3.24         ( (c_in @ X0 @ (c_Message_Oparts @ X1) @ tc_Message_Omsg)
% 18.06/3.24          | ~ (c_in @ (c_Message_Omsg_OMPair @ X2 @ X0) @ 
% 18.06/3.24               (c_Message_Oparts @ X1) @ tc_Message_Omsg))),
% 18.06/3.24      inference('cnf', [status(esa)], [cls_parts_OSnd_0])).
% 18.06/3.24  thf(zip_derived_cl9287, plain,
% 18.06/3.24      ( (c_in @ 
% 18.06/3.24         (c_Message_Omsg_OMPair @ (c_Message_Omsg_OAgent @ v_Ba) @ 
% 18.06/3.24          (c_Message_Omsg_OMPair @ (hAPP @ c_Message_Omsg_OKey @ v_Ka) @ v_Xa)) @ 
% 18.06/3.24         (c_Message_Oparts @ (c_Event_Oknows @ c_Message_Oagent_OSpy @ v_evs3)) @ 
% 18.06/3.24         tc_Message_Omsg)),
% 18.06/3.24      inference('sup-', [status(thm)], [zip_derived_cl9194, zip_derived_cl96])).
% 18.06/3.24  thf(zip_derived_cl96, plain,
% 18.06/3.24      (![X0 : $i, X1 : $i, X2 : $i]:
% 18.06/3.24         ( (c_in @ X0 @ (c_Message_Oparts @ X1) @ tc_Message_Omsg)
% 18.06/3.24          | ~ (c_in @ (c_Message_Omsg_OMPair @ X2 @ X0) @ 
% 18.06/3.24               (c_Message_Oparts @ X1) @ tc_Message_Omsg))),
% 18.06/3.24      inference('cnf', [status(esa)], [cls_parts_OSnd_0])).
% 18.06/3.24  thf(zip_derived_cl9371, plain,
% 18.06/3.24      ( (c_in @ 
% 18.06/3.24         (c_Message_Omsg_OMPair @ (hAPP @ c_Message_Omsg_OKey @ v_Ka) @ v_Xa) @ 
% 18.06/3.24         (c_Message_Oparts @ (c_Event_Oknows @ c_Message_Oagent_OSpy @ v_evs3)) @ 
% 18.06/3.24         tc_Message_Omsg)),
% 18.06/3.24      inference('sup-', [status(thm)], [zip_derived_cl9287, zip_derived_cl96])).
% 18.06/3.24  thf(zip_derived_cl96, plain,
% 18.06/3.24      (![X0 : $i, X1 : $i, X2 : $i]:
% 18.06/3.24         ( (c_in @ X0 @ (c_Message_Oparts @ X1) @ tc_Message_Omsg)
% 18.06/3.24          | ~ (c_in @ (c_Message_Omsg_OMPair @ X2 @ X0) @ 
% 18.06/3.24               (c_Message_Oparts @ X1) @ tc_Message_Omsg))),
% 18.06/3.24      inference('cnf', [status(esa)], [cls_parts_OSnd_0])).
% 18.06/3.24  thf(zip_derived_cl9443, plain,
% 18.06/3.24      ( (c_in @ v_Xa @ 
% 18.06/3.24         (c_Message_Oparts @ (c_Event_Oknows @ c_Message_Oagent_OSpy @ v_evs3)) @ 
% 18.06/3.24         tc_Message_Omsg)),
% 18.06/3.24      inference('sup-', [status(thm)], [zip_derived_cl9371, zip_derived_cl96])).
% 18.06/3.24  thf(zip_derived_cl15955, plain,
% 18.06/3.24      ( (c_in @ 
% 18.06/3.24         (c_Message_Omsg_OCrypt @ v_K @ 
% 18.06/3.24          (c_Message_Omsg_OMPair @ (c_Message_Omsg_ONonce @ v_NB) @ 
% 18.06/3.24           (c_Message_Omsg_ONonce @ v_NB))) @ 
% 18.06/3.24         (c_Message_Oparts @ (c_Event_Oknows @ c_Message_Oagent_OSpy @ v_evs3)) @ 
% 18.06/3.24         tc_Message_Omsg)),
% 18.06/3.24      inference('demod', [status(thm)],
% 18.06/3.24                [zip_derived_cl15891, zip_derived_cl9443])).
% 18.06/3.24  thf(zip_derived_cl16900, plain,
% 18.06/3.24      (~ (c_in @ 
% 18.06/3.24          (c_Message_Omsg_OCrypt @ (hAPP @ c_Public_OshrK @ v_A) @ 
% 18.06/3.24           (c_Message_Omsg_OMPair @ (c_Message_Omsg_ONonce @ v_NA) @ 
% 18.06/3.24            (c_Message_Omsg_OMPair @ (c_Message_Omsg_OAgent @ v_B) @ 
% 18.06/3.24             (c_Message_Omsg_OMPair @ (hAPP @ c_Message_Omsg_OKey @ v_K) @ v_X)))) @ 
% 18.06/3.24          (c_Message_Oparts @ (c_Event_Oknows @ c_Message_Oagent_OSpy @ v_evs3)) @ 
% 18.06/3.24          tc_Message_Omsg)),
% 18.06/3.24      inference('demod', [status(thm)],
% 18.06/3.24                [zip_derived_cl794, zip_derived_cl15955])).
% 18.06/3.24  thf(zip_derived_cl119, plain,
% 18.06/3.24      (![X0 : $i, X1 : $i]:
% 18.06/3.24         (((c_Message_Oparts @ (c_Set_Oinsert @ X1 @ X0 @ tc_Message_Omsg))
% 18.06/3.24            = (c_Message_Oparts @ X0))
% 18.06/3.24          | ~ (c_in @ X1 @ (c_Message_Oparts @ X0) @ tc_Message_Omsg))),
% 18.06/3.24      inference('cnf', [status(esa)], [cls_parts__cut__eq_0])).
% 18.06/3.24  thf(cls_conjecture_7, conjecture,
% 18.06/3.24    (~( c_in @
% 18.06/3.24        ( c_Message_Omsg_OCrypt @
% 18.06/3.24          ( hAPP @ c_Public_OshrK @ v_A ) @ 
% 18.06/3.24          ( c_Message_Omsg_OMPair @
% 18.06/3.24            ( c_Message_Omsg_ONonce @ v_NA ) @ 
% 18.06/3.24            ( c_Message_Omsg_OMPair @
% 18.06/3.24              ( c_Message_Omsg_OAgent @ v_B ) @ 
% 18.06/3.24              ( c_Message_Omsg_OMPair @
% 18.06/3.24                ( hAPP @ c_Message_Omsg_OKey @ v_K ) @ v_X ) ) ) ) @ 
% 18.06/3.24        ( c_Message_Oparts @
% 18.06/3.24          ( c_Set_Oinsert @
% 18.06/3.24            v_Xa @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ v_evs3 ) @ 
% 18.06/3.24            tc_Message_Omsg ) ) @ 
% 18.06/3.24        tc_Message_Omsg ))).
% 18.06/3.24  thf(zf_stmt_4, negated_conjecture,
% 18.06/3.24    (c_in @
% 18.06/3.24     ( c_Message_Omsg_OCrypt @
% 18.06/3.24       ( hAPP @ c_Public_OshrK @ v_A ) @ 
% 18.06/3.24       ( c_Message_Omsg_OMPair @
% 18.06/3.24         ( c_Message_Omsg_ONonce @ v_NA ) @ 
% 18.06/3.24         ( c_Message_Omsg_OMPair @
% 18.06/3.24           ( c_Message_Omsg_OAgent @ v_B ) @ 
% 18.06/3.24           ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ v_K ) @ v_X ) ) ) ) @ 
% 18.06/3.24     ( c_Message_Oparts @
% 18.06/3.24       ( c_Set_Oinsert @
% 18.06/3.24         v_Xa @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ v_evs3 ) @ 
% 18.06/3.24         tc_Message_Omsg ) ) @ 
% 18.06/3.24     tc_Message_Omsg),
% 18.06/3.24    inference('cnf.neg', [status(esa)], [cls_conjecture_7])).
% 18.06/3.24  thf(zip_derived_cl204, plain,
% 18.06/3.24      ( (c_in @ 
% 18.06/3.24         (c_Message_Omsg_OCrypt @ (hAPP @ c_Public_OshrK @ v_A) @ 
% 18.06/3.24          (c_Message_Omsg_OMPair @ (c_Message_Omsg_ONonce @ v_NA) @ 
% 18.06/3.24           (c_Message_Omsg_OMPair @ (c_Message_Omsg_OAgent @ v_B) @ 
% 18.06/3.24            (c_Message_Omsg_OMPair @ (hAPP @ c_Message_Omsg_OKey @ v_K) @ v_X)))) @ 
% 18.06/3.24         (c_Message_Oparts @ 
% 18.06/3.24          (c_Set_Oinsert @ v_Xa @ 
% 18.06/3.24           (c_Event_Oknows @ c_Message_Oagent_OSpy @ v_evs3) @ tc_Message_Omsg)) @ 
% 18.06/3.24         tc_Message_Omsg)),
% 18.06/3.24      inference('cnf', [status(esa)], [zf_stmt_4])).
% 18.06/3.24  thf(zip_derived_cl15892, plain,
% 18.06/3.24      (( (c_in @ 
% 18.06/3.24          (c_Message_Omsg_OCrypt @ (hAPP @ c_Public_OshrK @ v_A) @ 
% 18.06/3.24           (c_Message_Omsg_OMPair @ (c_Message_Omsg_ONonce @ v_NA) @ 
% 18.06/3.24            (c_Message_Omsg_OMPair @ (c_Message_Omsg_OAgent @ v_B) @ 
% 18.06/3.24             (c_Message_Omsg_OMPair @ (hAPP @ c_Message_Omsg_OKey @ v_K) @ v_X)))) @ 
% 18.06/3.24          (c_Message_Oparts @ (c_Event_Oknows @ c_Message_Oagent_OSpy @ v_evs3)) @ 
% 18.06/3.24          tc_Message_Omsg)
% 18.06/3.24        | ~ (c_in @ v_Xa @ 
% 18.06/3.24             (c_Message_Oparts @ 
% 18.06/3.24              (c_Event_Oknows @ c_Message_Oagent_OSpy @ v_evs3)) @ 
% 18.06/3.24             tc_Message_Omsg))),
% 18.06/3.24      inference('sup+', [status(thm)], [zip_derived_cl119, zip_derived_cl204])).
% 18.06/3.24  thf(zip_derived_cl9443, plain,
% 18.06/3.24      ( (c_in @ v_Xa @ 
% 18.06/3.24         (c_Message_Oparts @ (c_Event_Oknows @ c_Message_Oagent_OSpy @ v_evs3)) @ 
% 18.06/3.24         tc_Message_Omsg)),
% 18.06/3.24      inference('sup-', [status(thm)], [zip_derived_cl9371, zip_derived_cl96])).
% 18.06/3.24  thf(zip_derived_cl15956, plain,
% 18.06/3.24      ( (c_in @ 
% 18.06/3.24         (c_Message_Omsg_OCrypt @ (hAPP @ c_Public_OshrK @ v_A) @ 
% 18.06/3.24          (c_Message_Omsg_OMPair @ (c_Message_Omsg_ONonce @ v_NA) @ 
% 18.06/3.24           (c_Message_Omsg_OMPair @ (c_Message_Omsg_OAgent @ v_B) @ 
% 18.06/3.24            (c_Message_Omsg_OMPair @ (hAPP @ c_Message_Omsg_OKey @ v_K) @ v_X)))) @ 
% 18.06/3.24         (c_Message_Oparts @ (c_Event_Oknows @ c_Message_Oagent_OSpy @ v_evs3)) @ 
% 18.06/3.24         tc_Message_Omsg)),
% 18.06/3.24      inference('demod', [status(thm)],
% 18.06/3.24                [zip_derived_cl15892, zip_derived_cl9443])).
% 18.06/3.24  thf(zip_derived_cl18182, plain, ($false),
% 18.06/3.24      inference('demod', [status(thm)],
% 18.06/3.24                [zip_derived_cl16900, zip_derived_cl15956])).
% 18.06/3.24  
% 18.06/3.24  % SZS output end Refutation
% 18.06/3.24  
% 18.06/3.24  
% 18.06/3.24  % Terminating...
% 18.86/3.40  % Runner terminated.
% 18.86/3.43  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------