%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : SWV348-2 : TPTP v8.1.2. Released v3.2.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n010.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 Aug 31 21:50:43 EDT 2023

% Result   : Unsatisfiable 0.20s 0.57s
% Output   : Proof 0.20s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem    : SWV348-2 : TPTP v8.1.2. Released v3.2.0.
% 0.00/0.13  % Command    : do_cvc5 %s %d
% 0.14/0.34  % Computer : n010.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit   : 300
% 0.14/0.34  % WCLimit    : 300
% 0.14/0.34  % DateTime   : Tue Aug 29 09:44:49 EDT 2023
% 0.14/0.34  % CPUTime    : 
% 0.20/0.48  %----Proving TF0_NAR, FOF, or CNF
% 0.20/0.48  ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.AuwJbC4iwO/cvc5---1.0.5_13592.p...
% 0.20/0.50  ------- get file name : TPTP file name is SWV348-2
% 0.20/0.50  ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_13592.smt2...
% 0.20/0.50  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.20/0.57  % SZS status Unsatisfiable for SWV348-2
% 0.20/0.57  % SZS output start Proof for SWV348-2
% 0.20/0.58  (
% 0.20/0.58  (let ((_let_1 (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4))) (let ((_let_2 (tptp.c_Message_Oanalz _let_1))) (let ((_let_3 (tptp.c_Message_Omsg_OKey tptp.v_K))) (let ((_let_4 (tptp.c_in _let_3 _let_2 tptp.tc_Message_Omsg))) (let ((_let_5 (tptp.c_Message_Omsg_ONonce tptp.v_NB))) (let ((_let_6 (tptp.c_in _let_5 _let_2 tptp.tc_Message_Omsg))) (let ((_let_7 (not _let_6))) (let ((_let_8 (tptp.c_List_Oset tptp.v_evs4 tptp.tc_Event_Oevent))) (let ((_let_9 (tptp.c_Message_Omsg_ONonce tptp.v_NA))) (let ((_let_10 (tptp.c_Message_Omsg_OAgent tptp.v_B))) (let ((_let_11 (tptp.c_in (tptp.c_Event_Oevent_OSays tptp.v_B tptp.c_Message_Oagent_OServer (tptp.c_Message_Omsg_OMPair _let_10 (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_A) (tptp.c_Message_Omsg_OMPair _let_9 _let_5))))) _let_8 tptp.tc_Event_Oevent))) (let ((_let_12 (forall ((V_U $$unsorted)) (not (tptp.c_in (tptp.c_Event_Oevent_ONotes tptp.c_Message_Oagent_OSpy (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NA) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) V_U))) (tptp.c_List_Oset tptp.v_evs4 tptp.tc_Event_Oevent) tptp.tc_Event_Oevent))))) (let ((_let_13 (tptp.c_Message_Omsg_ONonce tptp.v_NAa))) (let ((_let_14 (tptp.c_Message_Omsg_OMPair _let_13 _let_5))) (let ((_let_15 (tptp.c_Message_Omsg_OMPair _let_3 _let_14))) (let ((_let_16 (tptp.c_Message_Omsg_OAgent tptp.v_Ba))) (let ((_let_17 (tptp.c_Message_Omsg_OMPair _let_16 _let_15))) (let ((_let_18 (tptp.c_Public_OshrK tptp.v_Aa))) (let ((_let_19 (tptp.c_Message_Omsg_OCrypt _let_18 _let_17))) (let ((_let_20 (tptp.c_Message_Omsg_OMPair _let_19 tptp.v_X))) (let ((_let_21 (tptp.c_in (tptp.c_Event_Oevent_OGets tptp.v_Aa _let_20) _let_8 tptp.tc_Event_Oevent))) (let ((_let_22 (tptp.c_in tptp.v_evs4 tptp.c_Yahalom_Oyahalom (tptp.tc_List_Olist tptp.tc_Event_Oevent)))) (let ((_let_23 (tptp.c_in tptp.v_B tptp.c_Event_Obad tptp.tc_Message_Oagent))) (let ((_let_24 (not _let_23))) (let ((_let_25 (forall ((V_evs $$unsorted) (V_A $$unsorted) (V_B $$unsorted) (V_K $$unsorted) (V_na $$unsorted) (V_nb $$unsorted)) (let ((_let_1 (tptp.c_List_Oset V_evs tptp.tc_Event_Oevent))) (let ((_let_2 (tptp.c_Message_Omsg_OKey V_K))) (or (not (tptp.c_in V_evs tptp.c_Yahalom_Oyahalom (tptp.tc_List_Olist tptp.tc_Event_Oevent))) (not (tptp.c_in (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OServer V_A (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK V_A) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent V_B) (tptp.c_Message_Omsg_OMPair _let_2 (tptp.c_Message_Omsg_OMPair V_na V_nb)))) (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK V_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent V_A) _let_2)))) _let_1 tptp.tc_Event_Oevent)) (not (tptp.c_in _let_2 (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy V_evs)) tptp.tc_Message_Omsg)) (tptp.c_in V_B tptp.c_Event_Obad tptp.tc_Message_Oagent) (tptp.c_in V_A tptp.c_Event_Obad tptp.tc_Message_Oagent) (tptp.c_in (tptp.c_Event_Oevent_ONotes tptp.c_Message_Oagent_OSpy (tptp.c_Message_Omsg_OMPair V_na (tptp.c_Message_Omsg_OMPair V_nb _let_2))) _let_1 tptp.tc_Event_Oevent))))))) (let ((_let_26 (forall ((V_evs $$unsorted) (V_S_H $$unsorted) (V_X_H $$unsorted) (V_B_H $$unsorted) (V_A_H $$unsorted) (V_NA_H $$unsorted) (V_nb $$unsorted) (V_C $$unsorted) (V_S $$unsorted) (V_X $$unsorted) (V_B $$unsorted) (V_A $$unsorted) (V_NA $$unsorted)) (let ((_let_1 (tptp.c_List_Oset V_evs tptp.tc_Event_Oevent))) (or (not (tptp.c_in V_evs tptp.c_Yahalom_Oyahalom (tptp.tc_List_Olist tptp.tc_Event_Oevent))) (not (tptp.c_in (tptp.c_Event_Oevent_OGets V_S_H (tptp.c_Message_Omsg_OMPair V_X_H (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK V_B_H) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent V_A_H) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce V_NA_H) V_nb))))) _let_1 tptp.tc_Event_Oevent)) (not (tptp.c_in (tptp.c_Event_Oevent_OSays V_C V_S (tptp.c_Message_Omsg_OMPair V_X (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK V_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent V_A) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce V_NA) V_nb))))) _let_1 tptp.tc_Event_Oevent)) (tptp.c_in V_nb (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy V_evs)) tptp.tc_Message_Omsg) (= V_B_H V_B)))))) (let ((_let_27 (forall ((V_evs $$unsorted) (V_S_H $$unsorted) (V_X_H $$unsorted) (V_B_H $$unsorted) (V_A_H $$unsorted) (V_NA_H $$unsorted) (V_nb $$unsorted) (V_C $$unsorted) (V_S $$unsorted) (V_X $$unsorted) (V_B $$unsorted) (V_A $$unsorted) (V_NA $$unsorted)) (let ((_let_1 (tptp.c_List_Oset V_evs tptp.tc_Event_Oevent))) (or (not (tptp.c_in V_evs tptp.c_Yahalom_Oyahalom (tptp.tc_List_Olist tptp.tc_Event_Oevent))) (not (tptp.c_in (tptp.c_Event_Oevent_OGets V_S_H (tptp.c_Message_Omsg_OMPair V_X_H (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK V_B_H) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent V_A_H) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce V_NA_H) V_nb))))) _let_1 tptp.tc_Event_Oevent)) (not (tptp.c_in (tptp.c_Event_Oevent_OSays V_C V_S (tptp.c_Message_Omsg_OMPair V_X (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK V_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent V_A) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce V_NA) V_nb))))) _let_1 tptp.tc_Event_Oevent)) (tptp.c_in V_nb (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy V_evs)) tptp.tc_Message_Omsg) (= V_NA_H V_NA)))))) (let ((_let_28 (forall ((V_evs $$unsorted) (V_A $$unsorted) (V_B $$unsorted) (V_K $$unsorted) (V_na $$unsorted) (V_nb $$unsorted)) (let ((_let_1 (tptp.c_Message_Omsg_OKey V_K))) (let ((_let_2 (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK V_A) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent V_B) (tptp.c_Message_Omsg_OMPair _let_1 (tptp.c_Message_Omsg_OMPair V_na V_nb)))))) (or (not (tptp.c_in V_evs tptp.c_Yahalom_Oyahalom (tptp.tc_List_Olist tptp.tc_Event_Oevent))) (not (tptp.c_in _let_2 (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy V_evs)) tptp.tc_Message_Omsg)) (tptp.c_in V_A tptp.c_Event_Obad tptp.tc_Message_Oagent) (tptp.c_in (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OServer V_A (tptp.c_Message_Omsg_OMPair _let_2 (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK V_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent V_A) _let_1)))) (tptp.c_List_Oset V_evs tptp.tc_Event_Oevent) tptp.tc_Event_Oevent))))))) (let ((_let_29 (forall ((V_A $$unsorted) (V_X $$unsorted) (V_H $$unsorted)) (let ((_let_1 (tptp.c_Message_Oanalz V_H))) (let ((_let_2 (tptp.c_Public_OshrK V_A))) (or (not (tptp.c_in (tptp.c_Message_Omsg_OCrypt _let_2 V_X) _let_1 tptp.tc_Message_Omsg)) (not (tptp.c_in (tptp.c_Message_Omsg_OKey _let_2) _let_1 tptp.tc_Message_Omsg)) (tptp.c_in V_X _let_1 tptp.tc_Message_Omsg))))))) (let ((_let_30 (forall ((V_evs $$unsorted) (V_A $$unsorted) (V_B $$unsorted) (V_k $$unsorted) (V_na $$unsorted) (V_nb $$unsorted) (V_X $$unsorted)) (let ((_let_1 (tptp.c_List_Oset V_evs tptp.tc_Event_Oevent))) (let ((_let_2 (tptp.c_Message_Omsg_OMPair V_na V_nb))) (let ((_let_3 (tptp.c_Message_Omsg_OAgent V_B))) (or (not (tptp.c_in V_evs tptp.c_Yahalom_Oyahalom (tptp.tc_List_Olist tptp.tc_Event_Oevent))) (not (tptp.c_in (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OServer V_A (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK V_A) (tptp.c_Message_Omsg_OMPair _let_3 (tptp.c_Message_Omsg_OMPair V_k _let_2))) V_X)) _let_1 tptp.tc_Event_Oevent)) (tptp.c_in (tptp.c_Event_Oevent_OGets tptp.c_Message_Oagent_OServer (tptp.c_Message_Omsg_OMPair _let_3 (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK V_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent V_A) _let_2)))) _let_1 tptp.tc_Event_Oevent)))))))) (let ((_let_31 (forall ((V_evs $$unsorted) (V_B $$unsorted) (V_X $$unsorted)) (or (not (tptp.c_in V_evs tptp.c_Yahalom_Oyahalom (tptp.tc_List_Olist tptp.tc_Event_Oevent))) (not (tptp.c_in (tptp.c_Event_Oevent_OGets V_B V_X) (tptp.c_List_Oset V_evs tptp.tc_Event_Oevent) tptp.tc_Event_Oevent)) (tptp.c_in V_X (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy V_evs)) tptp.tc_Message_Omsg))))) (let ((_let_32 (forall ((V_A $$unsorted) (V_evs $$unsorted)) (or (not (tptp.c_in V_A tptp.c_Event_Obad tptp.tc_Message_Oagent)) (not (tptp.c_in V_evs tptp.c_Yahalom_Oyahalom (tptp.tc_List_Olist tptp.tc_Event_Oevent))) (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK V_A)) (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy V_evs)) tptp.tc_Message_Omsg))))) (let ((_let_33 (forall ((V_X $$unsorted) (V_Y $$unsorted) (V_H $$unsorted)) (let ((_let_1 (tptp.c_Message_Oanalz V_H))) (or (not (tptp.c_in (tptp.c_Message_Omsg_OMPair V_X V_Y) _let_1 tptp.tc_Message_Omsg)) (tptp.c_in V_X _let_1 tptp.tc_Message_Omsg)))))) (let ((_let_34 (forall ((V_X $$unsorted) (V_Y $$unsorted) (V_H $$unsorted)) (let ((_let_1 (tptp.c_Message_Oanalz V_H))) (or (not (tptp.c_in (tptp.c_Message_Omsg_OMPair V_X V_Y) _let_1 tptp.tc_Message_Omsg)) (tptp.c_in V_Y _let_1 tptp.tc_Message_Omsg)))))) (let ((_let_35 (forall ((V_H $$unsorted)) (= (tptp.c_Message_Oparts (tptp.c_Message_Oanalz V_H)) (tptp.c_Message_Oparts V_H))))) (let ((_let_36 (forall ((V_X $$unsorted) (V_H $$unsorted)) (or (not (tptp.c_in V_X V_H tptp.tc_Message_Omsg)) (tptp.c_in V_X (tptp.c_Message_Oparts V_H) tptp.tc_Message_Omsg))))) (let ((_let_37 (tptp.c_in _let_15 _let_2 tptp.tc_Message_Omsg))) (let ((_let_38 (tptp.c_in _let_17 _let_2 tptp.tc_Message_Omsg))) (let ((_let_39 (not _let_38))) (let ((_let_40 (or _let_39 _let_37))) (let ((_let_41 (_let_34))) (let ((_let_42 (ASSUME :args _let_41))) (let ((_let_43 (not _let_40))) (let ((_let_44 (tptp.c_in _let_14 _let_2 tptp.tc_Message_Omsg))) (let ((_let_45 (not _let_37))) (let ((_let_46 (or _let_45 _let_44))) (let ((_let_47 (tptp.c_Message_Oanalz V_H))) (let ((_let_48 (tptp.c_Message_Omsg_OMPair V_X V_Y))) (let ((_let_49 (_let_48 _let_47))) (let ((_let_50 (not _let_44))) (let ((_let_51 (or _let_50 _let_6))) (let ((_let_52 (ASSUME :args (_let_7)))) (let ((_let_53 (tptp.c_in (tptp.c_Message_Omsg_OKey _let_18) _let_2 tptp.tc_Message_Omsg))) (let ((_let_54 (not _let_53))) (let ((_let_55 (tptp.c_in _let_19 _let_2 tptp.tc_Message_Omsg))) (let ((_let_56 (not _let_55))) (let ((_let_57 (or _let_56 _let_54 _let_38))) (let ((_let_58 (_let_29))) (let ((_let_59 (ASSUME :args _let_58))) (let ((_let_60 (not _let_22))) (let ((_let_61 (tptp.c_in tptp.v_Aa tptp.c_Event_Obad tptp.tc_Message_Oagent))) (let ((_let_62 (not _let_61))) (let ((_let_63 (or _let_62 _let_60 _let_53))) (let ((_let_64 (_let_32))) (let ((_let_65 (ASSUME :args _let_64))) (let ((_let_66 (tptp.c_Message_Omsg_OAgent tptp.v_Aa))) (let ((_let_67 (tptp.c_Public_OshrK tptp.v_Ba))) (let ((_let_68 (tptp.c_Message_Omsg_OCrypt _let_67 (tptp.c_Message_Omsg_OMPair _let_66 _let_3)))) (let ((_let_69 (tptp.c_in (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OServer tptp.v_Aa (tptp.c_Message_Omsg_OMPair _let_19 _let_68)) _let_8 tptp.tc_Event_Oevent))) (let ((_let_70 (tptp.c_Message_Oparts _let_1))) (let ((_let_71 (tptp.c_in _let_19 _let_70 tptp.tc_Message_Omsg))) (let ((_let_72 (not _let_71))) (let ((_let_73 (or _let_60 _let_72 _let_61 _let_69))) (let ((_let_74 (tptp.c_in (tptp.c_Event_Oevent_OGets tptp.c_Message_Oagent_OServer (tptp.c_Message_Omsg_OMPair _let_16 (tptp.c_Message_Omsg_OCrypt _let_67 (tptp.c_Message_Omsg_OMPair _let_66 _let_14)))) _let_8 tptp.tc_Event_Oevent))) (let ((_let_75 (not _let_69))) (let ((_let_76 (or _let_60 _let_75 _let_74))) (let ((_let_77 (= tptp.v_NAa tptp.v_NA))) (let ((_let_78 (not _let_11))) (let ((_let_79 (not _let_74))) (let ((_let_80 (or _let_60 _let_79 _let_78 _let_6 _let_77))) (let ((_let_81 (= tptp.v_B tptp.v_Ba))) (let ((_let_82 (or _let_60 _let_79 _let_78 _let_6 _let_81))) (let ((_let_83 (tptp.c_Message_Omsg_OMPair _let_5 _let_3))) (let ((_let_84 (tptp.c_in (tptp.c_Event_Oevent_ONotes tptp.c_Message_Oagent_OSpy (tptp.c_Message_Omsg_OMPair _let_9 _let_83)) _let_8 tptp.tc_Event_Oevent))) (let ((_let_85 (tptp.c_in (tptp.c_Event_Oevent_ONotes tptp.c_Message_Oagent_OSpy (tptp.c_Message_Omsg_OMPair _let_13 _let_83)) _let_8 tptp.tc_Event_Oevent))) (let ((_let_86 (tptp.c_in tptp.v_Ba tptp.c_Event_Obad tptp.tc_Message_Oagent))) (let ((_let_87 (not _let_4))) (let ((_let_88 (or _let_60 _let_75 _let_87 _let_86 _let_61 _let_85))) (let ((_let_89 (ASSUME :args (_let_22)))) (let ((_let_90 (_let_28))) (let ((_let_91 (ASSUME :args _let_90))) (let ((_let_92 (tptp.c_Message_Oparts _let_2))) (let ((_let_93 (tptp.c_in _let_19 _let_92 tptp.tc_Message_Omsg))) (let ((_let_94 (= _let_92 _let_70))) (let ((_let_95 (or _let_56 _let_93))) (let ((_let_96 (_let_36))) (let ((_let_97 (ASSUME :args _let_96))) (let ((_let_98 (tptp.c_in _let_20 _let_2 tptp.tc_Message_Omsg))) (let ((_let_99 (not _let_98))) (let ((_let_100 (or _let_99 _let_55))) (let ((_let_101 (_let_33))) (let ((_let_102 (ASSUME :args _let_101))) (let ((_let_103 (not _let_21))) (let ((_let_104 (or _let_60 _let_103 _let_98))) (let ((_let_105 (_let_31))) (let ((_let_106 (ASSUME :args _let_105))) (let ((_let_107 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_100)) :args ((or _let_99 _let_55 (not _let_100)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_104)) :args ((or _let_60 _let_103 _let_98 (not _let_104)))) _let_89 (ASSUME :args (_let_21)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_106 :args (tptp.v_evs4 tptp.v_Aa _let_20 QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.c_in (tptp.c_Event_Oevent_OGets V_B V_X) (tptp.c_List_Oset V_evs tptp.tc_Event_Oevent) tptp.tc_Event_Oevent) false))))) :args _let_105)) _let_106 :args (_let_104 false _let_31)) :args (_let_98 false _let_22 false _let_21 false _let_104)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_102 :args (_let_19 tptp.v_X _let_1 QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.c_in (tptp.c_Message_Omsg_OMPair V_X V_Y) (tptp.c_Message_Oanalz V_H) tptp.tc_Message_Omsg) false))))) :args _let_101)) _let_102 :args (_let_100 false _let_33)) :args (_let_55 false _let_98 false _let_100)))) (let ((_let_108 (_let_35))) (let ((_let_109 (ASSUME :args _let_108))) (let ((_let_110 (and _let_94 _let_93))) (let ((_let_111 (ASSUME :args (_let_93)))) (let ((_let_112 (APPLY_UF tptp.c_in))) (let ((_let_113 (ASSUME :args (_let_94)))) (let ((_let_114 (_let_30))) (let ((_let_115 (ASSUME :args _let_114))) (let ((_let_116 (ASSUME :args (_let_11)))) (let ((_let_117 (_let_27))) (let ((_let_118 (ASSUME :args _let_117))) (let ((_let_119 (_let_26))) (let ((_let_120 (ASSUME :args _let_119))) (let ((_let_121 (tptp.c_List_Oset V_evs tptp.tc_Event_Oevent))) (let ((_let_122 (not _let_84))) (let ((_let_123 (_let_12))) (let ((_let_124 (ASSUME :args _let_123))) (let ((_let_125 (not _let_77))) (let ((_let_126 (not _let_85))) (let ((_let_127 (or))) (let ((_let_128 (and _let_122 _let_77))) (let ((_let_129 (_let_122 _let_77))) (let ((_let_130 (ASSUME :args (_let_122)))) (let ((_let_131 (ASSUME :args (_let_77)))) (let ((_let_132 (ASSUME :args (_let_24)))) (let ((_let_133 (not _let_81))) (let ((_let_134 (not _let_86))) (let ((_let_135 (and _let_24 _let_81))) (let ((_let_136 (_let_24 _let_81))) (let ((_let_137 (ASSUME :args (_let_81)))) (let ((_let_138 (_let_25))) (let ((_let_139 (ASSUME :args _let_138))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_42 :args (_let_16 _let_15 _let_1 QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.c_in _let_48 _let_47 tptp.tc_Message_Omsg) false))))) :args _let_41)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_40)) :args ((or _let_39 _let_37 _let_43))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_57)) :args ((or _let_56 _let_54 _let_38 (not _let_57)))) _let_107 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_63)) :args ((or _let_60 _let_53 _let_62 (not _let_63)))) _let_89 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_88)) :args ((or _let_60 _let_87 _let_61 _let_75 _let_86 _let_85 (not _let_88)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_139 :args (tptp.v_evs4 tptp.v_Aa tptp.v_Ba tptp.v_K _let_13 _let_5 QUANTIFIERS_INST_E_MATCHING ((tptp.c_List_Oset V_evs tptp.tc_Event_Oevent) (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK V_A) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent V_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OKey V_K) (tptp.c_Message_Omsg_OMPair V_na V_nb))))))) :args _let_138)) _let_139 :args (_let_88 false _let_25)) (ASSUME :args (_let_4)) _let_89 (REORDERING (EQ_RESOLVE (RESOLUTION (CNF_AND_NEG :args (_let_135)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_132 _let_137) (SCOPE (FALSE_ELIM (TRANS (CONG (SYMM _let_137) (REFL :args (tptp.c_Event_Obad)) (REFL :args (tptp.tc_Message_Oagent)) :args _let_112) (FALSE_INTRO _let_132))) :args _let_136)) :args _let_136)) :args (true _let_135)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_24) _let_23))) (REFL :args (_let_133)) (REFL :args (_let_134)) :args _let_127)) :args ((or _let_23 _let_134 _let_133))) _let_132 (REORDERING (EQ_RESOLVE (RESOLUTION (CNF_AND_NEG :args (_let_128)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_130 _let_131) (SCOPE (FALSE_ELIM (TRANS (CONG (CONG (REFL :args (tptp.c_Message_Oagent_OSpy)) (CONG (CONG (SYMM (SYMM _let_131)) :args (APPLY_UF tptp.c_Message_Omsg_ONonce)) (REFL :args (_let_83)) :args (APPLY_UF tptp.c_Message_Omsg_OMPair)) :args (APPLY_UF tptp.c_Event_Oevent_ONotes)) (REFL :args (_let_8)) (REFL :args (tptp.tc_Event_Oevent)) :args _let_112) (FALSE_INTRO _let_130))) :args _let_129)) :args _let_129)) :args (true _let_128)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_122) _let_84))) (REFL :args (_let_125)) (REFL :args (_let_126)) :args _let_127)) :args ((or _let_126 _let_84 _let_125))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_124 :args (_let_3 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.c_Message_Omsg_OMPair _let_5 V_U)))) :args _let_123)) _let_124 :args (_let_122 false _let_12)) (REORDERING (CNF_OR_POS :args (_let_82)) :args ((or _let_6 _let_60 _let_78 _let_79 _let_81 (not _let_82)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_120 :args (tptp.v_evs4 tptp.c_Message_Oagent_OServer _let_16 tptp.v_Ba tptp.v_Aa tptp.v_NAa _let_5 tptp.v_B tptp.c_Message_Oagent_OServer _let_10 tptp.v_B tptp.v_A tptp.v_NA QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.c_in (tptp.c_Event_Oevent_OSays V_C V_S (tptp.c_Message_Omsg_OMPair V_X (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK V_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent V_A) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce V_NA) V_nb))))) _let_121 tptp.tc_Event_Oevent) false)) (not (= (tptp.c_in (tptp.c_Event_Oevent_OGets V_S_H (tptp.c_Message_Omsg_OMPair V_X_H (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK V_B_H) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent V_A_H) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce V_NA_H) V_nb))))) _let_121 tptp.tc_Event_Oevent) false))))) :args _let_119))) _let_120 :args (_let_82 false _let_26)) _let_52 _let_116 _let_89 (REORDERING (CNF_OR_POS :args (_let_80)) :args ((or _let_6 _let_60 _let_78 _let_79 _let_77 (not _let_80)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_118 :args (tptp.v_evs4 tptp.c_Message_Oagent_OServer _let_16 tptp.v_Ba tptp.v_Aa tptp.v_NAa _let_5 tptp.v_B tptp.c_Message_Oagent_OServer _let_10 tptp.v_B tptp.v_A tptp.v_NA QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.c_in (tptp.c_Event_Oevent_OSays V_C V_S (tptp.c_Message_Omsg_OMPair V_X (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK V_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent V_A) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce V_NA) V_nb))))) (tptp.c_List_Oset V_evs tptp.tc_Event_Oevent) tptp.tc_Event_Oevent) false)) (tptp.c_Event_Oevent_OGets V_S_H (tptp.c_Message_Omsg_OMPair V_X_H (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK V_B_H) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent V_A_H) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce V_NA_H) V_nb)))))))) :args _let_117)) _let_118 :args (_let_80 false _let_27)) _let_52 _let_116 _let_89 (REORDERING (CNF_OR_POS :args (_let_76)) :args ((or _let_60 _let_74 _let_75 (not _let_76)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_115 :args (tptp.v_evs4 tptp.v_Aa tptp.v_Ba _let_3 _let_13 _let_5 _let_68 QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.c_in (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OServer V_A (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK V_A) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent V_B) (tptp.c_Message_Omsg_OMPair V_k (tptp.c_Message_Omsg_OMPair V_na V_nb)))) V_X)) (tptp.c_List_Oset V_evs tptp.tc_Event_Oevent) tptp.tc_Event_Oevent) false))))) :args _let_114)) _let_115 :args (_let_76 false _let_30)) _let_89 (REORDERING (CNF_OR_POS :args (_let_73)) :args ((or _let_60 _let_61 _let_72 _let_69 (not _let_73)))) (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_110)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_111 _let_113) (SCOPE (TRUE_ELIM (TRANS (CONG (REFL :args (_let_19)) (SYMM _let_113) (REFL :args (tptp.tc_Message_Omsg)) :args _let_112) (TRUE_INTRO _let_111))) :args (_let_93 _let_94))) :args (_let_94 _let_93))) :args (true _let_110)) :args ((or (not _let_94) _let_71 (not _let_93)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_109 :args (_let_1 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.c_Message_Oanalz V_H)))) :args _let_108)) _let_109 :args (_let_94 false _let_35)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_95)) :args ((or _let_56 _let_93 (not _let_95)))) _let_107 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_97 :args (_let_19 _let_2 QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.c_in V_X (tptp.c_Message_Oparts V_H) tptp.tc_Message_Omsg) true))))) :args _let_96)) _let_97 :args (_let_95 false _let_36)) :args (_let_93 false _let_55 false _let_95)) :args (_let_71 false _let_94 false _let_93)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_91 :args (tptp.v_evs4 tptp.v_Aa tptp.v_Ba tptp.v_K _let_13 _let_5 QUANTIFIERS_INST_E_MATCHING ((tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK V_A) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent V_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OKey V_K) (tptp.c_Message_Omsg_OMPair V_na V_nb)))) (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy V_evs)))) :args _let_90)) _let_91 :args (_let_73 false _let_28)) _let_89 :args (_let_61 false _let_88 false _let_4 false _let_22 true _let_86 true _let_23 true _let_85 true _let_84 false _let_81 false _let_82 true _let_6 false _let_11 false _let_22 false _let_77 false _let_80 true _let_6 false _let_11 false _let_22 false _let_74 false _let_76 false _let_22 false _let_69 false _let_71 false _let_73 false _let_22)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_65 :args (tptp.v_Aa tptp.v_evs4 QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK V_A)) (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy V_evs)) tptp.tc_Message_Omsg) true))))) :args _let_64)) _let_65 :args (_let_63 false _let_32)) :args (_let_53 false _let_22 false _let_61 false _let_63)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_59 :args (tptp.v_Aa _let_17 _let_1 QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.c_in (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK V_A) V_X) (tptp.c_Message_Oanalz V_H) tptp.tc_Message_Omsg) false))))) :args _let_58)) _let_59 :args (_let_57 false _let_29)) :args (_let_38 false _let_55 false _let_53 false _let_57)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_46)) :args ((or _let_44 _let_45 (not _let_46)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_51)) :args ((or _let_6 _let_50 (not _let_51)))) _let_52 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_42 :args (_let_13 _let_5 _let_1 QUANTIFIERS_INST_E_MATCHING _let_49)) :args _let_41)) _let_42 :args (_let_51 false _let_34)) :args (_let_50 true _let_6 false _let_51)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_42 :args (_let_3 _let_14 _let_1 QUANTIFIERS_INST_E_MATCHING _let_49)) :args _let_41)) _let_42 :args (_let_46 false _let_34)) :args (_let_45 true _let_44 false _let_46)) :args (_let_43 false _let_38 true _let_37)) _let_42 :args (false true _let_40 false _let_34)) :args ((forall ((V_X $$unsorted) (V_Y $$unsorted) (V_H $$unsorted)) (let ((_let_1 (tptp.c_Message_Oparts V_H))) (or (not (tptp.c_in (tptp.c_Message_Omsg_OMPair V_X V_Y) _let_1 tptp.tc_Message_Omsg)) (tptp.c_in V_X _let_1 tptp.tc_Message_Omsg)))) _let_36 _let_35 _let_34 _let_33 _let_32 _let_31 _let_30 _let_29 _let_28 _let_27 _let_26 _let_25 _let_24 _let_22 _let_21 _let_12 _let_11 _let_7 _let_4))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.20/0.58  )
% 0.20/0.58  % SZS output end Proof for SWV348-2
% 0.20/0.59  % cvc5---1.0.5 exiting
% 0.20/0.59  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------