%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SWV748-1 : TPTP v9.2.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.ydL12GiDwg true
% Computer : n011.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Oct 2 05:01:54 PM UTC 2025
% Result : Unsatisfiable 29.98s 7.84s
% Output : Refutation 29.98s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.17 % Problem : SWV748-1 : TPTP v9.2.0. Released v4.1.0.
% 0.08/0.17 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.ydL12GiDwg true
% 0.09/0.40 % Computer : n011.cluster.edu
% 0.09/0.40 % Model : x86_64 x86_64
% 0.09/0.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.40 % Memory : 8042.1875MB
% 0.09/0.40 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.40 % CPULimit : 300
% 0.09/0.40 % WCLimit : 300
% 0.09/0.40 % DateTime : Wed Oct 1 12:32:38 EDT 2025
% 0.09/0.40 % CPUTime :
% 0.09/0.40 % Running portfolio for 300 s
% 0.09/0.40 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.40 % Number of cores: 8
% 0.09/0.40 % Python version: Python 3.6.8
% 0.09/0.40 % Running in FO mode
% 0.37/0.68 % Total configuration time : 435
% 0.37/0.68 % Estimated wc time : 1092
% 0.37/0.68 % Estimated cpu time (7 cpus) : 156.0
% 0.37/0.81 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.38/0.85 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.38/0.85 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.38/0.85 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.38/0.86 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.38/0.87 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.38/0.88 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 29.98/7.84 % Solved by fo/fo3_bce.sh.
% 29.98/7.84 % BCE start: 558
% 29.98/7.84 % BCE eliminated: 7
% 29.98/7.84 % PE start: 551
% 29.98/7.84 logic: eq
% 29.98/7.84 % PE eliminated: 0
% 29.98/7.84 % done 3559 iterations in 6.831s
% 29.98/7.84 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 29.98/7.84 % SZS output start Refutation
% 29.98/7.84 thf(v_K_type, type, v_K: $i).
% 29.98/7.84 thf(c_Event_Oused_type, type, c_Event_Oused: $i > $i).
% 29.98/7.84 thf(tc_Event_Oevent_type, type, tc_Event_Oevent: $i).
% 29.98/7.84 thf(c_Message_Oagent_OServer_type, type, c_Message_Oagent_OServer: $i).
% 29.98/7.84 thf(v_A_type, type, v_A: $i).
% 29.98/7.84 thf(c_Event_Obad_type, type, c_Event_Obad: $i).
% 29.98/7.84 thf(c_List_Oset_type, type, c_List_Oset: $i > $i > $i).
% 29.98/7.84 thf(tc_Message_Omsg_type, type, tc_Message_Omsg: $i).
% 29.98/7.84 thf(v_Aa_type, type, v_Aa: $i).
% 29.98/7.84 thf(c_Public_OshrK_type, type, c_Public_OshrK: $i).
% 29.98/7.84 thf(c_Message_Oparts_type, type, c_Message_Oparts: $i > $i).
% 29.98/7.84 thf(c_Message_Oagent_OSpy_type, type, c_Message_Oagent_OSpy: $i).
% 29.98/7.84 thf(c_Set_Oinsert_type, type, c_Set_Oinsert: $i > $i > $i > $i).
% 29.98/7.84 thf(c_Message_Oanalz_type, type, c_Message_Oanalz: $i > $i).
% 29.98/7.84 thf(c_Message_Omsg_OKey_type, type, c_Message_Omsg_OKey: $i).
% 29.98/7.84 thf(c_Message_Omsg_OAgent_type, type, c_Message_Omsg_OAgent: $i > $i).
% 29.98/7.84 thf(c_Message_Omsg_OCrypt_type, type, c_Message_Omsg_OCrypt: $i > $i > $i).
% 29.98/7.84 thf(v_Ba_type, type, v_Ba: $i).
% 29.98/7.84 thf(c_Event_Oknows_type, type, c_Event_Oknows: $i > $i > $i).
% 29.98/7.84 thf(hAPP_type, type, hAPP: $i > $i > $i).
% 29.98/7.84 thf(c_Event_Oevent_OSays_type, type, c_Event_Oevent_OSays: $i > $i > $i > $i).
% 29.98/7.84 thf(v_B_type, type, v_B: $i).
% 29.98/7.84 thf(c_Message_Omsg_OMPair_type, type, c_Message_Omsg_OMPair: $i > $i > $i).
% 29.98/7.84 thf(v_NA_type, type, v_NA: $i).
% 29.98/7.84 thf(c_in_type, type, c_in: $i > $i > $i > $i).
% 29.98/7.84 thf(tc_Message_Oagent_type, type, tc_Message_Oagent: $i).
% 29.98/7.84 thf(hBOOL_type, type, hBOOL: $i > $o).
% 29.98/7.84 thf(v_KAB_type, type, v_KAB: $i).
% 29.98/7.84 thf(v_evs2_type, type, v_evs2: $i).
% 29.98/7.84 thf(cls_usedI_0, axiom,
% 29.98/7.84 (( hBOOL @ ( c_in @ V_c @ ( c_Event_Oused @ V_evs ) @ tc_Message_Omsg ) ) |
% 29.98/7.84 ( ~( hBOOL @
% 29.98/7.84 ( c_in @
% 29.98/7.84 V_c @
% 29.98/7.84 ( c_Message_Oparts @
% 29.98/7.84 ( c_Event_Oknows @ c_Message_Oagent_OSpy @ V_evs ) ) @
% 29.98/7.84 tc_Message_Omsg ) ) ))).
% 29.98/7.84 thf(zip_derived_cl336, plain,
% 29.98/7.84 (![X0 : $i, X1 : $i]:
% 29.98/7.84 ( (hBOOL @ (c_in @ X0 @ (c_Event_Oused @ X1) @ tc_Message_Omsg))
% 29.98/7.84 | ~ (hBOOL @
% 29.98/7.84 (c_in @ X0 @
% 29.98/7.84 (c_Message_Oparts @
% 29.98/7.84 (c_Event_Oknows @ c_Message_Oagent_OSpy @ X1)) @
% 29.98/7.84 tc_Message_Omsg)))),
% 29.98/7.84 inference('cnf', [status(esa)], [cls_usedI_0])).
% 29.98/7.84 thf(cls_insert__absorb_0, axiom,
% 29.98/7.84 (( ( c_Set_Oinsert @ V_a @ V_A @ T_a ) = ( V_A ) ) |
% 29.98/7.84 ( ~( hBOOL @ ( c_in @ V_a @ V_A @ T_a ) ) ))).
% 29.98/7.84 thf(zip_derived_cl271, plain,
% 29.98/7.84 (![X0 : $i, X1 : $i, X2 : $i]:
% 29.98/7.84 (((c_Set_Oinsert @ X1 @ X0 @ X2) = (X0))
% 29.98/7.84 | ~ (hBOOL @ (c_in @ X1 @ X0 @ X2)))),
% 29.98/7.84 inference('cnf', [status(esa)], [cls_insert__absorb_0])).
% 29.98/7.84 thf(cls_conjecture_32, conjecture,
% 29.98/7.84 (~( ( hBOOL @
% 29.98/7.84 ( c_in @
% 29.98/7.84 ( hAPP @ c_Message_Omsg_OKey @ v_KAB ) @
% 29.98/7.84 ( c_Message_Oanalz @
% 29.98/7.84 ( c_Event_Oknows @ c_Message_Oagent_OSpy @ v_evs2 ) ) @
% 29.98/7.84 tc_Message_Omsg ) ) |
% 29.98/7.84 ( hBOOL @ ( c_in @ v_Aa @ c_Event_Obad @ tc_Message_Oagent ) ) ))).
% 29.98/7.84 thf(zf_stmt_0, negated_conjecture,
% 29.98/7.84 (( hBOOL @
% 29.98/7.84 ( c_in @
% 29.98/7.84 ( hAPP @ c_Message_Omsg_OKey @ v_KAB ) @
% 29.98/7.84 ( c_Message_Oanalz @
% 29.98/7.84 ( c_Event_Oknows @ c_Message_Oagent_OSpy @ v_evs2 ) ) @
% 29.98/7.84 tc_Message_Omsg ) ) |
% 29.98/7.84 ( hBOOL @ ( c_in @ v_Aa @ c_Event_Obad @ tc_Message_Oagent ) )),
% 29.98/7.84 inference('cnf.neg', [status(esa)], [cls_conjecture_32])).
% 29.98/7.84 thf(zip_derived_cl525, plain,
% 29.98/7.84 (( (hBOOL @
% 29.98/7.84 (c_in @ (hAPP @ c_Message_Omsg_OKey @ v_KAB) @
% 29.98/7.84 (c_Message_Oanalz @
% 29.98/7.84 (c_Event_Oknows @ c_Message_Oagent_OSpy @ v_evs2)) @
% 29.98/7.84 tc_Message_Omsg))
% 29.98/7.84 | (hBOOL @ (c_in @ v_Aa @ c_Event_Obad @ tc_Message_Oagent)))),
% 29.98/7.84 inference('cnf', [status(esa)], [zf_stmt_0])).
% 29.98/7.84 thf(zip_derived_cl2494, plain,
% 29.98/7.84 ((((c_Set_Oinsert @ (hAPP @ c_Message_Omsg_OKey @ v_KAB) @
% 29.98/7.84 (c_Message_Oanalz @ (c_Event_Oknows @ c_Message_Oagent_OSpy @ v_evs2)) @
% 29.98/7.84 tc_Message_Omsg)
% 29.98/7.84 = (c_Message_Oanalz @
% 29.98/7.84 (c_Event_Oknows @ c_Message_Oagent_OSpy @ v_evs2)))
% 29.98/7.84 | (hBOOL @ (c_in @ v_Aa @ c_Event_Obad @ tc_Message_Oagent)))),
% 29.98/7.84 inference('sup+', [status(thm)], [zip_derived_cl271, zip_derived_cl525])).
% 29.98/7.84 thf(cls_mem__def_0, axiom,
% 29.98/7.84 (( hBOOL @ ( hAPP @ V_S @ V_x ) ) |
% 29.98/7.84 ( ~( hBOOL @ ( c_in @ V_x @ V_S @ T_a ) ) ))).
% 29.98/7.84 thf(zip_derived_cl465, plain,
% 29.98/7.84 (![X0 : $i, X1 : $i, X2 : $i]:
% 29.98/7.84 ( (hBOOL @ (hAPP @ X0 @ X1)) | ~ (hBOOL @ (c_in @ X1 @ X0 @ X2)))),
% 29.98/7.84 inference('cnf', [status(esa)], [cls_mem__def_0])).
% 29.98/7.84 thf(zip_derived_cl2719, plain,
% 29.98/7.84 ((((c_Set_Oinsert @ (hAPP @ c_Message_Omsg_OKey @ v_KAB) @
% 29.98/7.84 (c_Message_Oanalz @ (c_Event_Oknows @ c_Message_Oagent_OSpy @ v_evs2)) @
% 29.98/7.84 tc_Message_Omsg)
% 29.98/7.84 = (c_Message_Oanalz @
% 29.98/7.84 (c_Event_Oknows @ c_Message_Oagent_OSpy @ v_evs2)))
% 29.98/7.84 | (hBOOL @ (hAPP @ c_Event_Obad @ v_Aa)))),
% 29.98/7.84 inference('sup-', [status(thm)], [zip_derived_cl2494, zip_derived_cl465])).
% 29.98/7.84 thf(cls_insert__iff_1, axiom,
% 29.98/7.84 (hBOOL @ ( c_in @ V_x @ ( c_Set_Oinsert @ V_x @ V_A @ T_a ) @ T_a ))).
% 29.98/7.84 thf(zip_derived_cl267, plain,
% 29.98/7.84 (![X0 : $i, X1 : $i, X2 : $i]:
% 29.98/7.84 (hBOOL @ (c_in @ X0 @ (c_Set_Oinsert @ X0 @ X1 @ X2) @ X2))),
% 29.98/7.84 inference('cnf', [status(esa)], [cls_insert__iff_1])).
% 29.98/7.84 thf(zip_derived_cl3113, plain,
% 29.98/7.84 (( (hBOOL @
% 29.98/7.84 (c_in @ (hAPP @ c_Message_Omsg_OKey @ v_KAB) @
% 29.98/7.84 (c_Message_Oanalz @
% 29.98/7.84 (c_Event_Oknows @ c_Message_Oagent_OSpy @ v_evs2)) @
% 29.98/7.84 tc_Message_Omsg))
% 29.98/7.84 | (hBOOL @ (hAPP @ c_Event_Obad @ v_Aa)))),
% 29.98/7.84 inference('sup+', [status(thm)], [zip_derived_cl2719, zip_derived_cl267])).
% 29.98/7.84 thf(cls_analz__conj__parts_0, axiom,
% 29.98/7.84 (( hBOOL @ ( c_in @ V_X @ ( c_Message_Oparts @ V_H ) @ tc_Message_Omsg ) ) |
% 29.98/7.84 ( ~( hBOOL @ ( c_in @ V_X @ ( c_Message_Oanalz @ V_H ) @ tc_Message_Omsg ) ) ))).
% 29.98/7.84 thf(zip_derived_cl346, plain,
% 29.98/7.84 (![X0 : $i, X1 : $i]:
% 29.98/7.84 ( (hBOOL @ (c_in @ X0 @ (c_Message_Oparts @ X1) @ tc_Message_Omsg))
% 29.98/7.84 | ~ (hBOOL @ (c_in @ X0 @ (c_Message_Oanalz @ X1) @ tc_Message_Omsg)))),
% 29.98/7.84 inference('cnf', [status(esa)], [cls_analz__conj__parts_0])).
% 29.98/7.84 thf(zip_derived_cl3164, plain,
% 29.98/7.84 (( (hBOOL @ (hAPP @ c_Event_Obad @ v_Aa))
% 29.98/7.84 | (hBOOL @
% 29.98/7.84 (c_in @ (hAPP @ c_Message_Omsg_OKey @ v_KAB) @
% 29.98/7.84 (c_Message_Oparts @
% 29.98/7.84 (c_Event_Oknows @ c_Message_Oagent_OSpy @ v_evs2)) @
% 29.98/7.84 tc_Message_Omsg)))),
% 29.98/7.84 inference('sup-', [status(thm)], [zip_derived_cl3113, zip_derived_cl346])).
% 29.98/7.84 thf(zip_derived_cl4539, plain,
% 29.98/7.84 (( (hBOOL @
% 29.98/7.84 (c_in @ (hAPP @ c_Message_Omsg_OKey @ v_KAB) @
% 29.98/7.84 (c_Event_Oused @ v_evs2) @ tc_Message_Omsg))
% 29.98/7.84 | (hBOOL @ (hAPP @ c_Event_Obad @ v_Aa)))),
% 29.98/7.84 inference('sup+', [status(thm)], [zip_derived_cl336, zip_derived_cl3164])).
% 29.98/7.84 thf(cls_conjecture_3, conjecture,
% 29.98/7.84 (hBOOL @
% 29.98/7.84 ( c_in @
% 29.98/7.84 ( hAPP @ c_Message_Omsg_OKey @ v_KAB ) @ ( c_Event_Oused @ v_evs2 ) @
% 29.98/7.84 tc_Message_Omsg ))).
% 29.98/7.84 thf(zf_stmt_1, negated_conjecture,
% 29.98/7.84 (~( hBOOL @
% 29.98/7.84 ( c_in @
% 29.98/7.84 ( hAPP @ c_Message_Omsg_OKey @ v_KAB ) @
% 29.98/7.84 ( c_Event_Oused @ v_evs2 ) @ tc_Message_Omsg ) )),
% 29.98/7.84 inference('cnf.neg', [status(esa)], [cls_conjecture_3])).
% 29.98/7.84 thf(zip_derived_cl554, plain,
% 29.98/7.84 (~ (hBOOL @
% 29.98/7.84 (c_in @ (hAPP @ c_Message_Omsg_OKey @ v_KAB) @
% 29.98/7.84 (c_Event_Oused @ v_evs2) @ tc_Message_Omsg))),
% 29.98/7.84 inference('cnf', [status(esa)], [zf_stmt_1])).
% 29.98/7.84 thf(zip_derived_cl4548, plain, ( (hBOOL @ (hAPP @ c_Event_Obad @ v_Aa))),
% 29.98/7.84 inference('clc', [status(thm)], [zip_derived_cl4539, zip_derived_cl554])).
% 29.98/7.84 thf(cls_Oops__parts__spies_0, axiom,
% 29.98/7.84 (( hBOOL @
% 29.98/7.84 ( c_in @
% 29.98/7.84 V_K @
% 29.98/7.84 ( c_Message_Oparts @
% 29.98/7.84 ( c_Event_Oknows @ c_Message_Oagent_OSpy @ V_evs ) ) @
% 29.98/7.84 tc_Message_Omsg ) ) |
% 29.98/7.84 ( ~( hBOOL @
% 29.98/7.84 ( c_in @
% 29.98/7.84 ( c_Event_Oevent_OSays @
% 29.98/7.84 c_Message_Oagent_OServer @ V_A @
% 29.98/7.84 ( c_Message_Omsg_OCrypt @
% 29.98/7.84 ( hAPP @ c_Public_OshrK @ V_A ) @
% 29.98/7.84 ( c_Message_Omsg_OMPair @
% 29.98/7.84 V_NA @
% 29.98/7.84 ( c_Message_Omsg_OMPair @
% 29.98/7.84 V_B @ ( c_Message_Omsg_OMPair @ V_K @ V_X ) ) ) ) ) @
% 29.98/7.84 ( c_List_Oset @ V_evs @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) ))).
% 29.98/7.84 thf(zip_derived_cl407, plain,
% 29.98/7.84 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 29.98/7.84 ( (hBOOL @
% 29.98/7.84 (c_in @ X0 @
% 29.98/7.84 (c_Message_Oparts @ (c_Event_Oknows @ c_Message_Oagent_OSpy @ X1)) @
% 29.98/7.84 tc_Message_Omsg))
% 29.98/7.84 | ~ (hBOOL @
% 29.98/7.84 (c_in @
% 29.98/7.84 (c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ X2 @
% 29.98/7.84 (c_Message_Omsg_OCrypt @ (hAPP @ c_Public_OshrK @ X2) @
% 29.98/7.84 (c_Message_Omsg_OMPair @ X3 @
% 29.98/7.84 (c_Message_Omsg_OMPair @ X4 @
% 29.98/7.84 (c_Message_Omsg_OMPair @ X0 @ X5))))) @
% 29.98/7.84 (c_List_Oset @ X1 @ tc_Event_Oevent) @ tc_Event_Oevent)))),
% 29.98/7.84 inference('cnf', [status(esa)], [cls_Oops__parts__spies_0])).
% 29.98/7.84 thf(cls_conjecture_24, conjecture,
% 29.98/7.84 (~( ( ( v_A ) = ( v_Aa ) ) |
% 29.98/7.84 ( hBOOL @
% 29.98/7.84 ( c_in @
% 29.98/7.84 ( c_Event_Oevent_OSays @
% 29.98/7.84 c_Message_Oagent_OServer @ v_A @
% 29.98/7.84 ( c_Message_Omsg_OCrypt @
% 29.98/7.84 ( hAPP @ c_Public_OshrK @ v_A ) @
% 29.98/7.84 ( c_Message_Omsg_OMPair @
% 29.98/7.84 v_NA @
% 29.98/7.84 ( c_Message_Omsg_OMPair @
% 29.98/7.84 ( c_Message_Omsg_OAgent @ v_B ) @
% 29.98/7.84 ( c_Message_Omsg_OMPair @
% 29.98/7.84 ( hAPP @ c_Message_Omsg_OKey @ v_K ) @
% 29.98/7.84 ( c_Message_Omsg_OCrypt @
% 29.98/7.84 ( hAPP @ c_Public_OshrK @ v_B ) @
% 29.98/7.84 ( c_Message_Omsg_OMPair @
% 29.98/7.84 ( hAPP @ c_Message_Omsg_OKey @ v_K ) @
% 29.98/7.84 ( c_Message_Omsg_OAgent @ v_A ) ) ) ) ) ) ) ) @
% 29.98/7.84 ( c_List_Oset @ v_evs2 @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) ))).
% 29.98/7.84 thf(zf_stmt_2, negated_conjecture,
% 29.98/7.84 (( ( v_A ) = ( v_Aa ) ) |
% 29.98/7.84 ( hBOOL @
% 29.98/7.84 ( c_in @
% 29.98/7.84 ( c_Event_Oevent_OSays @
% 29.98/7.84 c_Message_Oagent_OServer @ v_A @
% 29.98/7.84 ( c_Message_Omsg_OCrypt @
% 29.98/7.84 ( hAPP @ c_Public_OshrK @ v_A ) @
% 29.98/7.84 ( c_Message_Omsg_OMPair @
% 29.98/7.84 v_NA @
% 29.98/7.84 ( c_Message_Omsg_OMPair @
% 29.98/7.84 ( c_Message_Omsg_OAgent @ v_B ) @
% 29.98/7.84 ( c_Message_Omsg_OMPair @
% 29.98/7.84 ( hAPP @ c_Message_Omsg_OKey @ v_K ) @
% 29.98/7.84 ( c_Message_Omsg_OCrypt @
% 29.98/7.84 ( hAPP @ c_Public_OshrK @ v_B ) @
% 29.98/7.84 ( c_Message_Omsg_OMPair @
% 29.98/7.84 ( hAPP @ c_Message_Omsg_OKey @ v_K ) @
% 29.98/7.84 ( c_Message_Omsg_OAgent @ v_A ) ) ) ) ) ) ) ) @
% 29.98/7.84 ( c_List_Oset @ v_evs2 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )),
% 29.98/7.84 inference('cnf.neg', [status(esa)], [cls_conjecture_24])).
% 29.98/7.84 thf(zip_derived_cl533, plain,
% 29.98/7.84 ((((v_A) = (v_Aa))
% 29.98/7.84 | (hBOOL @
% 29.98/7.84 (c_in @
% 29.98/7.84 (c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ v_A @
% 29.98/7.84 (c_Message_Omsg_OCrypt @ (hAPP @ c_Public_OshrK @ v_A) @
% 29.98/7.84 (c_Message_Omsg_OMPair @ v_NA @
% 29.98/7.84 (c_Message_Omsg_OMPair @ (c_Message_Omsg_OAgent @ v_B) @
% 29.98/7.84 (c_Message_Omsg_OMPair @ (hAPP @ c_Message_Omsg_OKey @ v_K) @
% 29.98/7.84 (c_Message_Omsg_OCrypt @ (hAPP @ c_Public_OshrK @ v_B) @
% 29.98/7.84 (c_Message_Omsg_OMPair @
% 29.98/7.84 (hAPP @ c_Message_Omsg_OKey @ v_K) @
% 29.98/7.84 (c_Message_Omsg_OAgent @ v_A)))))))) @
% 29.98/7.84 (c_List_Oset @ v_evs2 @ tc_Event_Oevent) @ tc_Event_Oevent)))),
% 29.98/7.84 inference('cnf', [status(esa)], [zf_stmt_2])).
% 29.98/7.84 thf(cls_conjecture_55, conjecture,
% 29.98/7.84 (~( ( ( hAPP @ c_Public_OshrK @ v_Ba ) = ( v_KAB ) ) |
% 29.98/7.84 ( hBOOL @ ( c_in @ v_Ba @ c_Event_Obad @ tc_Message_Oagent ) ) |
% 29.98/7.84 ( ( v_K ) = ( v_KAB ) ) |
% 29.98/7.84 ( ~( hBOOL @ ( c_in @ v_Aa @ c_Event_Obad @ tc_Message_Oagent ) ) ) ))).
% 29.98/7.84 thf(zf_stmt_3, negated_conjecture,
% 29.98/7.84 (( ( hAPP @ c_Public_OshrK @ v_Ba ) = ( v_KAB ) ) |
% 29.98/7.84 ( hBOOL @ ( c_in @ v_Ba @ c_Event_Obad @ tc_Message_Oagent ) ) |
% 29.98/7.84 ( ( v_K ) = ( v_KAB ) ) |
% 29.98/7.84 ( ~( hBOOL @ ( c_in @ v_Aa @ c_Event_Obad @ tc_Message_Oagent ) ) )),
% 29.98/7.84 inference('cnf.neg', [status(esa)], [cls_conjecture_55])).
% 29.98/7.84 thf(zip_derived_cl502, plain,
% 29.98/7.84 ((((hAPP @ c_Public_OshrK @ v_Ba) = (v_KAB))
% 29.98/7.84 | (hBOOL @ (c_in @ v_Ba @ c_Event_Obad @ tc_Message_Oagent))
% 29.98/7.84 | ((v_K) = (v_KAB))
% 29.98/7.84 | ~ (hBOOL @ (c_in @ v_Aa @ c_Event_Obad @ tc_Message_Oagent)))),
% 29.98/7.84 inference('cnf', [status(esa)], [zf_stmt_3])).
% 29.98/7.84 thf(cls_conjecture_44, conjecture,
% 29.98/7.84 (~( ( ( v_K ) = ( v_KAB ) ) |
% 29.98/7.84 ( ~( hBOOL @ ( c_in @ v_Aa @ c_Event_Obad @ tc_Message_Oagent ) ) ) |
% 29.98/7.84 ( ( hAPP @ c_Public_OshrK @ v_Ba ) != ( v_KAB ) ) ))).
% 29.98/7.84 thf(zf_stmt_4, negated_conjecture,
% 29.98/7.84 (( ( v_K ) = ( v_KAB ) ) |
% 29.98/7.84 ( ~( hBOOL @ ( c_in @ v_Aa @ c_Event_Obad @ tc_Message_Oagent ) ) ) |
% 29.98/7.84 ( ( hAPP @ c_Public_OshrK @ v_Ba ) != ( v_KAB ) )),
% 29.98/7.84 inference('cnf.neg', [status(esa)], [cls_conjecture_44])).
% 29.98/7.84 thf(zip_derived_cl513, plain,
% 29.98/7.84 ((((v_K) = (v_KAB))
% 29.98/7.84 | ~ (hBOOL @ (c_in @ v_Aa @ c_Event_Obad @ tc_Message_Oagent))
% 29.98/7.84 | ((hAPP @ c_Public_OshrK @ v_Ba) != (v_KAB)))),
% 29.98/7.84 inference('cnf', [status(esa)], [zf_stmt_4])).
% 29.98/7.84 thf(cls_conjecture_23, conjecture,
% 29.98/7.84 (~( ( ( v_K ) = ( v_KAB ) ) |
% 29.98/7.84 ( hBOOL @ ( c_in @ v_Aa @ c_Event_Obad @ tc_Message_Oagent ) ) ))).
% 29.98/7.84 thf(zf_stmt_5, negated_conjecture,
% 29.98/7.84 (( ( v_K ) = ( v_KAB ) ) |
% 29.98/7.84 ( hBOOL @ ( c_in @ v_Aa @ c_Event_Obad @ tc_Message_Oagent ) )),
% 29.98/7.84 inference('cnf.neg', [status(esa)], [cls_conjecture_23])).
% 29.98/7.84 thf(zip_derived_cl534, plain,
% 29.98/7.84 ((((v_K) = (v_KAB))
% 29.98/7.84 | (hBOOL @ (c_in @ v_Aa @ c_Event_Obad @ tc_Message_Oagent)))),
% 29.98/7.84 inference('cnf', [status(esa)], [zf_stmt_5])).
% 29.98/7.84 thf(zip_derived_cl2222, plain,
% 29.98/7.84 ((((hAPP @ c_Public_OshrK @ v_Ba) != (v_KAB))
% 29.98/7.84 | ((v_K) = (v_KAB))
% 29.98/7.84 | ((v_K) = (v_KAB)))),
% 29.98/7.84 inference('sup+', [status(thm)], [zip_derived_cl513, zip_derived_cl534])).
% 29.98/7.84 thf(zip_derived_cl2223, plain,
% 29.98/7.84 ((((v_K) = (v_KAB)) | ((hAPP @ c_Public_OshrK @ v_Ba) != (v_KAB)))),
% 29.98/7.84 inference('simplify', [status(thm)], [zip_derived_cl2222])).
% 29.98/7.84 thf(zip_derived_cl2253, plain,
% 29.98/7.84 ((~ (hBOOL @ (c_in @ v_Aa @ c_Event_Obad @ tc_Message_Oagent))
% 29.98/7.84 | ((v_K) = (v_KAB))
% 29.98/7.84 | (hBOOL @ (c_in @ v_Ba @ c_Event_Obad @ tc_Message_Oagent)))),
% 29.98/7.84 inference('clc', [status(thm)], [zip_derived_cl502, zip_derived_cl2223])).
% 29.98/7.84 thf(zip_derived_cl534, plain,
% 29.98/7.84 ((((v_K) = (v_KAB))
% 29.98/7.84 | (hBOOL @ (c_in @ v_Aa @ c_Event_Obad @ tc_Message_Oagent)))),
% 29.98/7.84 inference('cnf', [status(esa)], [zf_stmt_5])).
% 29.98/7.84 thf(zip_derived_cl2254, plain,
% 29.98/7.84 (( (hBOOL @ (c_in @ v_Ba @ c_Event_Obad @ tc_Message_Oagent))
% 29.98/7.84 | ((v_K) = (v_KAB)))),
% 29.98/7.84 inference('clc', [status(thm)], [zip_derived_cl2253, zip_derived_cl534])).
% 29.98/7.84 thf(cls_conjecture_45, conjecture,
% 29.98/7.84 (~( ( ( v_K ) = ( v_KAB ) ) |
% 29.98/7.84 ( ~( hBOOL @ ( c_in @ v_Aa @ c_Event_Obad @ tc_Message_Oagent ) ) ) |
% 29.98/7.84 ( ~( hBOOL @ ( c_in @ v_Ba @ c_Event_Obad @ tc_Message_Oagent ) ) ) ))).
% 29.98/7.84 thf(zf_stmt_6, negated_conjecture,
% 29.98/7.84 (( ( v_K ) = ( v_KAB ) ) |
% 29.98/7.84 ( ~( hBOOL @ ( c_in @ v_Aa @ c_Event_Obad @ tc_Message_Oagent ) ) ) |
% 29.98/7.84 ( ~( hBOOL @ ( c_in @ v_Ba @ c_Event_Obad @ tc_Message_Oagent ) ) )),
% 29.98/7.84 inference('cnf.neg', [status(esa)], [cls_conjecture_45])).
% 29.98/7.84 thf(zip_derived_cl512, plain,
% 29.98/7.84 ((((v_K) = (v_KAB))
% 29.98/7.84 | ~ (hBOOL @ (c_in @ v_Aa @ c_Event_Obad @ tc_Message_Oagent))
% 29.98/7.84 | ~ (hBOOL @ (c_in @ v_Ba @ c_Event_Obad @ tc_Message_Oagent)))),
% 29.98/7.84 inference('cnf', [status(esa)], [zf_stmt_6])).
% 29.98/7.84 thf(zip_derived_cl534, plain,
% 29.98/7.84 ((((v_K) = (v_KAB))
% 29.98/7.84 | (hBOOL @ (c_in @ v_Aa @ c_Event_Obad @ tc_Message_Oagent)))),
% 29.98/7.84 inference('cnf', [status(esa)], [zf_stmt_5])).
% 29.98/7.84 thf(zip_derived_cl2234, plain,
% 29.98/7.84 ((~ (hBOOL @ (c_in @ v_Ba @ c_Event_Obad @ tc_Message_Oagent))
% 29.98/7.84 | ((v_K) = (v_KAB)))),
% 29.98/7.84 inference('clc', [status(thm)], [zip_derived_cl512, zip_derived_cl534])).
% 29.98/7.84 thf(zip_derived_cl2255, plain, (((v_K) = (v_KAB))),
% 29.98/7.84 inference('clc', [status(thm)], [zip_derived_cl2254, zip_derived_cl2234])).
% 29.98/7.84 thf(zip_derived_cl2255, plain, (((v_K) = (v_KAB))),
% 29.98/7.84 inference('clc', [status(thm)], [zip_derived_cl2254, zip_derived_cl2234])).
% 29.98/7.84 thf(zip_derived_cl5208, plain,
% 29.98/7.84 ((((v_A) = (v_Aa))
% 29.98/7.84 | (hBOOL @
% 29.98/7.84 (c_in @
% 29.98/7.84 (c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ v_A @
% 29.98/7.84 (c_Message_Omsg_OCrypt @ (hAPP @ c_Public_OshrK @ v_A) @
% 29.98/7.84 (c_Message_Omsg_OMPair @ v_NA @
% 29.98/7.84 (c_Message_Omsg_OMPair @ (c_Message_Omsg_OAgent @ v_B) @
% 29.98/7.84 (c_Message_Omsg_OMPair @
% 29.98/7.84 (hAPP @ c_Message_Omsg_OKey @ v_KAB) @
% 29.98/7.84 (c_Message_Omsg_OCrypt @ (hAPP @ c_Public_OshrK @ v_B) @
% 29.98/7.84 (c_Message_Omsg_OMPair @
% 29.98/7.84 (hAPP @ c_Message_Omsg_OKey @ v_KAB) @
% 29.98/7.84 (c_Message_Omsg_OAgent @ v_A)))))))) @
% 29.98/7.84 (c_List_Oset @ v_evs2 @ tc_Event_Oevent) @ tc_Event_Oevent)))),
% 29.98/7.84 inference('demod', [status(thm)],
% 29.98/7.84 [zip_derived_cl533, zip_derived_cl2255, zip_derived_cl2255])).
% 29.98/7.84 thf(zip_derived_cl16967, plain,
% 29.98/7.84 (( (hBOOL @
% 29.98/7.84 (c_in @ (hAPP @ c_Message_Omsg_OKey @ v_KAB) @
% 29.98/7.84 (c_Message_Oparts @
% 29.98/7.84 (c_Event_Oknows @ c_Message_Oagent_OSpy @ v_evs2)) @
% 29.98/7.84 tc_Message_Omsg))
% 29.98/7.84 | ((v_A) = (v_Aa)))),
% 29.98/7.84 inference('sup+', [status(thm)], [zip_derived_cl407, zip_derived_cl5208])).
% 29.98/7.84 thf(zip_derived_cl336, plain,
% 29.98/7.84 (![X0 : $i, X1 : $i]:
% 29.98/7.84 ( (hBOOL @ (c_in @ X0 @ (c_Event_Oused @ X1) @ tc_Message_Omsg))
% 29.98/7.84 | ~ (hBOOL @
% 29.98/7.84 (c_in @ X0 @
% 29.98/7.84 (c_Message_Oparts @
% 29.98/7.84 (c_Event_Oknows @ c_Message_Oagent_OSpy @ X1)) @
% 29.98/7.84 tc_Message_Omsg)))),
% 29.98/7.84 inference('cnf', [status(esa)], [cls_usedI_0])).
% 29.98/7.84 thf(zip_derived_cl21528, plain,
% 29.98/7.84 ((((v_A) = (v_Aa))
% 29.98/7.84 | (hBOOL @
% 29.98/7.84 (c_in @ (hAPP @ c_Message_Omsg_OKey @ v_KAB) @
% 29.98/7.84 (c_Event_Oused @ v_evs2) @ tc_Message_Omsg)))),
% 29.98/7.84 inference('sup-', [status(thm)], [zip_derived_cl16967, zip_derived_cl336])).
% 29.98/7.84 thf(zip_derived_cl554, plain,
% 29.98/7.84 (~ (hBOOL @
% 29.98/7.84 (c_in @ (hAPP @ c_Message_Omsg_OKey @ v_KAB) @
% 29.98/7.84 (c_Event_Oused @ v_evs2) @ tc_Message_Omsg))),
% 29.98/7.84 inference('cnf', [status(esa)], [zf_stmt_1])).
% 29.98/7.84 thf(zip_derived_cl21537, plain, (((v_A) = (v_Aa))),
% 29.98/7.84 inference('clc', [status(thm)], [zip_derived_cl21528, zip_derived_cl554])).
% 29.98/7.84 thf(cls_mem__def_1, axiom,
% 29.98/7.84 (( hBOOL @ ( c_in @ V_x @ V_S @ T_a ) ) |
% 29.98/7.84 ( ~( hBOOL @ ( hAPP @ V_S @ V_x ) ) ))).
% 29.98/7.84 thf(zip_derived_cl464, plain,
% 29.98/7.84 (![X0 : $i, X1 : $i, X2 : $i]:
% 29.98/7.84 ( (hBOOL @ (c_in @ X0 @ X1 @ X2)) | ~ (hBOOL @ (hAPP @ X1 @ X0)))),
% 29.98/7.84 inference('cnf', [status(esa)], [cls_mem__def_1])).
% 29.98/7.84 thf(cls_conjecture_0, conjecture,
% 29.98/7.84 (hBOOL @ ( c_in @ v_A @ c_Event_Obad @ tc_Message_Oagent ))).
% 29.98/7.84 thf(zf_stmt_7, negated_conjecture,
% 29.98/7.84 (~( hBOOL @ ( c_in @ v_A @ c_Event_Obad @ tc_Message_Oagent ) )),
% 29.98/7.84 inference('cnf.neg', [status(esa)], [cls_conjecture_0])).
% 29.98/7.84 thf(zip_derived_cl557, plain,
% 29.98/7.84 (~ (hBOOL @ (c_in @ v_A @ c_Event_Obad @ tc_Message_Oagent))),
% 29.98/7.84 inference('cnf', [status(esa)], [zf_stmt_7])).
% 29.98/7.84 thf(zip_derived_cl2581, plain, (~ (hBOOL @ (hAPP @ c_Event_Obad @ v_A))),
% 29.98/7.84 inference('sup-', [status(thm)], [zip_derived_cl464, zip_derived_cl557])).
% 29.98/7.84 thf(zip_derived_cl21541, plain, ($false),
% 29.98/7.84 inference('demod', [status(thm)],
% 29.98/7.84 [zip_derived_cl4548, zip_derived_cl21537, zip_derived_cl2581])).
% 29.98/7.84
% 29.98/7.84 % SZS output end Refutation
% 29.98/7.84
% 29.98/7.84
% 29.98/7.84 % Terminating...
% 30.31/7.98 % Runner terminated.
% 30.31/7.99 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------