%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : SWV332-2 : TPTP v8.1.2. Released v3.2.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n009.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 21:50:35 EDT 2023

% Result   : Unsatisfiable 0.21s 0.57s
% Output   : Proof 0.21s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem    : SWV332-2 : TPTP v8.1.2. Released v3.2.0.
% 0.07/0.14  % Command    : do_cvc5 %s %d
% 0.13/0.35  % Computer : n009.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   : Tue Aug 29 10:31:50 EDT 2023
% 0.13/0.36  % CPUTime    : 
% 0.21/0.50  %----Proving TF0_NAR, FOF, or CNF
% 0.21/0.51  ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.8DtFN7Pls6/cvc5---1.0.5_13581.p...
% 0.21/0.51  ------- get file name : TPTP file name is SWV332-2
% 0.21/0.52  ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_13581.smt2...
% 0.21/0.52  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.21/0.57  % SZS status Unsatisfiable for SWV332-2
% 0.21/0.57  % SZS output start Proof for SWV332-2
% 0.21/0.58  (
% 0.21/0.58  (let ((_let_1 (tptp.c_in tptp.v_B tptp.c_Event_Obad tptp.tc_Message_Oagent))) (let ((_let_2 (not _let_1))) (let ((_let_3 (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4))) (let ((_let_4 (tptp.c_Message_Oparts _let_3))) (let ((_let_5 (tptp.c_Message_Omsg_OKey tptp.v_K))) (let ((_let_6 (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) _let_5)))) (let ((_let_7 (tptp.c_in _let_6 _let_4 tptp.tc_Message_Omsg))) (let ((_let_8 (tptp.c_Message_Oanalz _let_3))) (let ((_let_9 (tptp.c_in _let_5 _let_8 tptp.tc_Message_Omsg))) (let ((_let_10 (not _let_9))) (let ((_let_11 (tptp.c_List_Oset tptp.v_evs4 tptp.tc_Event_Oevent))) (let ((_let_12 (tptp.c_Message_Omsg_ONonce tptp.v_NB))) (let ((_let_13 (tptp.c_Message_Omsg_ONonce tptp.v_NA))) (let ((_let_14 (tptp.c_Message_Omsg_OMPair _let_13 _let_12))) (let ((_let_15 (tptp.c_Message_Omsg_OMPair _let_5 _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_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_Aa) _let_17))) (let ((_let_19 (tptp.c_Message_Omsg_OMPair _let_18 tptp.v_X))) (let ((_let_20 (tptp.c_in (tptp.c_Event_Oevent_OGets tptp.v_Aa _let_19) _let_11 tptp.tc_Event_Oevent))) (let ((_let_21 (forall ((V_U $$unsorted)) (or (not (= V_U tptp.v_X)) (not (= tptp.v_B tptp.v_Ba)) (not (= tptp.v_A tptp.v_Aa)))))) (let ((_let_22 (tptp.c_in tptp.v_evs4 tptp.c_Yahalom_Oyahalom (tptp.tc_List_Olist tptp.tc_Event_Oevent)))) (let ((_let_23 (forall ((V_evs $$unsorted) (V_A_H $$unsorted) (V_B_H $$unsorted) (V_K $$unsorted) (V_na_H $$unsorted) (V_nb_H $$unsorted) (V_X_H $$unsorted) (V_A $$unsorted) (V_B $$unsorted) (V_na $$unsorted) (V_nb $$unsorted) (V_X $$unsorted)) (let ((_let_1 (tptp.c_List_Oset V_evs tptp.tc_Event_Oevent))) (let ((_let_2 (tptp.c_Message_Omsg_OKey V_K))) (or (not (tptp.c_in V_evs tptp.c_Yahalom_Oyahalom (tptp.tc_List_Olist tptp.tc_Event_Oevent))) (not (tptp.c_in (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OServer V_A_H (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK V_A_H) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent V_B_H) (tptp.c_Message_Omsg_OMPair _let_2 (tptp.c_Message_Omsg_OMPair V_na_H V_nb_H)))) V_X_H)) _let_1 tptp.tc_Event_Oevent)) (not (tptp.c_in (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OServer V_A (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK V_A) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent V_B) (tptp.c_Message_Omsg_OMPair _let_2 (tptp.c_Message_Omsg_OMPair V_na V_nb)))) V_X)) _let_1 tptp.tc_Event_Oevent)) (= V_B V_B_H))))))) (let ((_let_24 (forall ((V_evs $$unsorted) (V_A_H $$unsorted) (V_B_H $$unsorted) (V_K $$unsorted) (V_na_H $$unsorted) (V_nb_H $$unsorted) (V_X_H $$unsorted) (V_A $$unsorted) (V_B $$unsorted) (V_na $$unsorted) (V_nb $$unsorted) (V_X $$unsorted)) (let ((_let_1 (tptp.c_List_Oset V_evs tptp.tc_Event_Oevent))) (let ((_let_2 (tptp.c_Message_Omsg_OKey V_K))) (or (not (tptp.c_in V_evs tptp.c_Yahalom_Oyahalom (tptp.tc_List_Olist tptp.tc_Event_Oevent))) (not (tptp.c_in (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OServer V_A_H (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK V_A_H) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent V_B_H) (tptp.c_Message_Omsg_OMPair _let_2 (tptp.c_Message_Omsg_OMPair V_na_H V_nb_H)))) V_X_H)) _let_1 tptp.tc_Event_Oevent)) (not (tptp.c_in (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OServer V_A (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK V_A) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent V_B) (tptp.c_Message_Omsg_OMPair _let_2 (tptp.c_Message_Omsg_OMPair V_na V_nb)))) V_X)) _let_1 tptp.tc_Event_Oevent)) (= V_A V_A_H))))))) (let ((_let_25 (forall ((V_evs $$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_26 (forall ((V_evs $$unsorted) (V_B $$unsorted) (V_A $$unsorted) (V_K $$unsorted)) (let ((_let_1 (tptp.c_Message_Omsg_OKey V_K))) (let ((_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)))) (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_B 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 (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 (tptp.c_Message_Omsg_ONonce (tptp.v_sko__2ji V_A V_B V_K V_evs)) (tptp.c_Message_Omsg_ONonce (tptp.v_sko__2jj V_A V_B V_K V_evs)))))) _let_2)) (tptp.c_List_Oset V_evs tptp.tc_Event_Oevent) tptp.tc_Event_Oevent))))))) (let ((_let_27 (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_28 (forall ((V_A $$unsorted) (V_X $$unsorted) (V_evs $$unsorted)) (let ((_let_1 (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy V_evs)))) (or (not (tptp.c_in V_A tptp.c_Event_Obad tptp.tc_Message_Oagent)) (not (tptp.c_in (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK V_A) V_X) _let_1 tptp.tc_Message_Omsg)) (tptp.c_in V_X _let_1 tptp.tc_Message_Omsg)))))) (let ((_let_29 (forall ((V_X $$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_30 (forall ((V_X $$unsorted) (V_Y $$unsorted) (V_H $$unsorted)) (let ((_let_1 (tptp.c_Message_Oanalz V_H))) (or (not (tptp.c_in (tptp.c_Message_Omsg_OMPair V_X V_Y) _let_1 tptp.tc_Message_Omsg)) (tptp.c_in V_Y _let_1 tptp.tc_Message_Omsg)))))) (let ((_let_31 (forall ((V_X $$unsorted) (V_H $$unsorted)) (or (not (tptp.c_in V_X (tptp.c_Message_Oanalz V_H) tptp.tc_Message_Omsg)) (tptp.c_in V_X (tptp.c_Message_Oparts V_H) tptp.tc_Message_Omsg))))) (let ((_let_32 (= tptp.v_Aa tptp.v_A))) (let ((_let_33 (= tptp.v_Ba tptp.v_B))) (let ((_let_34 (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_Ba) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_Aa) _let_5)))) (let ((_let_35 (tptp.c_in (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OServer tptp.v_Aa (tptp.c_Message_Omsg_OMPair _let_18 _let_34)) _let_11 tptp.tc_Event_Oevent))) (let ((_let_36 (not _let_35))) (let ((_let_37 (tptp.c_Message_Omsg_ONonce (tptp.v_sko__2jj tptp.v_A tptp.v_B tptp.v_K tptp.v_evs4)))) (let ((_let_38 (tptp.c_Message_Omsg_ONonce (tptp.v_sko__2ji tptp.v_A tptp.v_B tptp.v_K tptp.v_evs4)))) (let ((_let_39 (tptp.c_in (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OServer tptp.v_A (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_A) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_B) (tptp.c_Message_Omsg_OMPair _let_5 (tptp.c_Message_Omsg_OMPair _let_38 _let_37)))) _let_6)) _let_11 tptp.tc_Event_Oevent))) (let ((_let_40 (not _let_39))) (let ((_let_41 (not _let_22))) (let ((_let_42 (or _let_41 _let_40 _let_36 _let_32))) (let ((_let_43 (forall ((V_evs $$unsorted) (V_A_H $$unsorted) (V_B_H $$unsorted) (V_K $$unsorted) (V_na_H $$unsorted) (V_nb_H $$unsorted) (V_X_H $$unsorted) (V_A $$unsorted) (V_B $$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_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_H (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK V_A_H) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent V_B_H) (tptp.c_Message_Omsg_OMPair _let_2 (tptp.c_Message_Omsg_OMPair V_na_H V_nb_H)))) V_X_H)) _let_1 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)))) V_X)) _let_1 tptp.tc_Event_Oevent)) (= V_A_H V_A))))))) (let ((_let_44 (EQ_RESOLVE (ASSUME :args (_let_24)) (MACRO_SR_EQ_INTRO :args (_let_24 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_45 (tptp.c_List_Oset V_evs tptp.tc_Event_Oevent))) (let ((_let_46 (tptp.c_Message_Omsg_OKey V_K))) (let ((_let_47 (tptp.c_in tptp.v_Aa tptp.c_Event_Obad tptp.tc_Message_Oagent))) (let ((_let_48 (tptp.c_in _let_18 _let_4 tptp.tc_Message_Omsg))) (let ((_let_49 (not _let_48))) (let ((_let_50 (or _let_41 _let_49 _let_47 _let_35))) (let ((_let_51 (_let_27))) (let ((_let_52 (ASSUME :args _let_51))) (let ((_let_53 (tptp.c_in _let_18 _let_8 tptp.tc_Message_Omsg))) (let ((_let_54 (not _let_53))) (let ((_let_55 (or _let_54 _let_48))) (let ((_let_56 (_let_31))) (let ((_let_57 (ASSUME :args _let_56))) (let ((_let_58 (tptp.c_in _let_19 _let_8 tptp.tc_Message_Omsg))) (let ((_let_59 (not _let_58))) (let ((_let_60 (or _let_59 _let_53))) (let ((_let_61 (_let_29))) (let ((_let_62 (ASSUME :args _let_61))) (let ((_let_63 (tptp.c_Message_Oanalz V_H))) (let ((_let_64 (tptp.c_Message_Omsg_OMPair V_X V_Y))) (let ((_let_65 (not _let_20))) (let ((_let_66 (or _let_41 _let_65 _let_58))) (let ((_let_67 (_let_25))) (let ((_let_68 (ASSUME :args _let_67))) (let ((_let_69 (ASSUME :args (_let_22)))) (let ((_let_70 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_60)) :args ((or _let_59 _let_53 (not _let_60)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_66)) :args ((or _let_41 _let_65 _let_58 (not _let_66)))) _let_69 (ASSUME :args (_let_20)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_68 :args (tptp.v_evs4 tptp.v_Aa _let_19 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_67)) _let_68 :args (_let_66 false _let_25)) :args (_let_58 false _let_22 false _let_20 false _let_66)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_62 :args (_let_18 tptp.v_X _let_3 QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.c_in _let_64 _let_63 tptp.tc_Message_Omsg) false))))) :args _let_61)) _let_62 :args (_let_60 false _let_29)) :args (_let_53 false _let_58 false _let_60)))) (let ((_let_71 (tptp.c_in _let_17 _let_8 tptp.tc_Message_Omsg))) (let ((_let_72 (not _let_47))) (let ((_let_73 (or _let_72 _let_54 _let_71))) (let ((_let_74 (_let_28))) (let ((_let_75 (ASSUME :args _let_74))) (let ((_let_76 (tptp.c_in _let_15 _let_8 tptp.tc_Message_Omsg))) (let ((_let_77 (not _let_71))) (let ((_let_78 (or _let_77 _let_76))) (let ((_let_79 (_let_30))) (let ((_let_80 (ASSUME :args _let_79))) (let ((_let_81 (not _let_76))) (let ((_let_82 (or _let_81 _let_9))) (let ((_let_83 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_50)) :args ((or _let_41 _let_47 _let_49 _let_35 (not _let_50)))) _let_69 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_73)) :args ((or _let_54 _let_72 _let_71 (not _let_73)))) _let_70 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_78)) :args ((or _let_77 _let_76 (not _let_78)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_82)) :args ((or _let_9 _let_81 (not _let_82)))) (ASSUME :args (_let_10)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_62 :args (_let_5 _let_14 _let_3 QUANTIFIERS_INST_E_MATCHING (_let_63 _let_64))) :args _let_61)) _let_62 :args (_let_82 false _let_29)) :args (_let_81 true _let_9 false _let_82)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_80 :args (_let_16 _let_15 _let_3 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_79)) _let_80 :args (_let_78 false _let_30)) :args (_let_77 true _let_76 false _let_78)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_75 :args (tptp.v_Aa _let_17 tptp.v_evs4 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 (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy V_evs)) tptp.tc_Message_Omsg) false))))) :args _let_74)) _let_75 :args (_let_73 false _let_28)) :args (_let_72 false _let_53 true _let_71 false _let_73)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_55)) :args ((or _let_54 _let_48 (not _let_55)))) _let_70 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_57 :args (_let_18 _let_3 QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.c_in V_X (tptp.c_Message_Oanalz V_H) tptp.tc_Message_Omsg) false))))) :args _let_56)) _let_57 :args (_let_55 false _let_31)) :args (_let_48 false _let_53 false _let_55)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_52 :args (tptp.v_evs4 tptp.v_Aa tptp.v_Ba tptp.v_K _let_13 _let_12 QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.c_in (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_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy V_evs)) tptp.tc_Message_Omsg) false))))) :args _let_51)) _let_52 :args (_let_50 false _let_27)) :args (_let_35 false _let_22 true _let_47 false _let_48 false _let_50)))) (let ((_let_84 (not _let_7))) (let ((_let_85 (or _let_41 _let_84 _let_1 _let_39))) (let ((_let_86 (_let_26))) (let ((_let_87 (ASSUME :args _let_86))) (let ((_let_88 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_85)) :args ((or _let_1 _let_41 _let_84 _let_39 (not _let_85)))) (ASSUME :args (_let_2)) _let_69 (ASSUME :args (_let_7)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_87 :args (tptp.v_evs4 tptp.v_B tptp.v_A tptp.v_K QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.c_in (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_OKey V_K))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy V_evs)) tptp.tc_Message_Omsg) false))))) :args _let_86)) _let_87 :args (_let_85 false _let_26)) :args (_let_39 true _let_1 false _let_22 false _let_7 false _let_85)))) (let ((_let_89 (or _let_41 _let_40 _let_36 _let_33))) (let ((_let_90 (forall ((V_evs $$unsorted) (V_A_H $$unsorted) (V_B_H $$unsorted) (V_K $$unsorted) (V_na_H $$unsorted) (V_nb_H $$unsorted) (V_X_H $$unsorted) (V_A $$unsorted) (V_B $$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_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_H (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK V_A_H) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent V_B_H) (tptp.c_Message_Omsg_OMPair _let_2 (tptp.c_Message_Omsg_OMPair V_na_H V_nb_H)))) V_X_H)) _let_1 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)))) V_X)) _let_1 tptp.tc_Event_Oevent)) (= V_B_H V_B))))))) (let ((_let_91 (EQ_RESOLVE (ASSUME :args (_let_23)) (MACRO_SR_EQ_INTRO :args (_let_23 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_92 (tptp.c_Message_Omsg_OKey V_K))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (ASSUME :args (_let_21)) (MACRO_SR_EQ_INTRO :args (_let_21 SB_DEFAULT SBA_FIXPOINT))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_89)) :args ((or _let_33 _let_41 _let_40 _let_36 (not _let_89)))) _let_69 _let_88 _let_83 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_91 :args (tptp.v_evs4 tptp.v_A tptp.v_B tptp.v_K _let_38 _let_37 _let_6 tptp.v_Aa tptp.v_Ba _let_13 _let_12 _let_34 QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.c_in (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OServer V_A_H (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK V_A_H) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent V_B_H) (tptp.c_Message_Omsg_OMPair _let_92 (tptp.c_Message_Omsg_OMPair V_na_H V_nb_H)))) V_X_H)) (tptp.c_List_Oset V_evs tptp.tc_Event_Oevent) tptp.tc_Event_Oevent) false)) (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_92 (tptp.c_Message_Omsg_OMPair V_na V_nb)))) V_X)))) :args (_let_90)))) _let_91 :args (_let_89 false _let_90)) :args (_let_33 false _let_22 false _let_39 false _let_35 false _let_89)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_42)) :args ((or _let_32 _let_41 _let_40 _let_36 (not _let_42)))) _let_69 _let_88 _let_83 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_44 :args (tptp.v_evs4 tptp.v_A tptp.v_B tptp.v_K _let_38 _let_37 _let_6 tptp.v_Aa tptp.v_Ba _let_13 _let_12 _let_34 QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.c_in (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OServer V_A_H (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK V_A_H) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent V_B_H) (tptp.c_Message_Omsg_OMPair _let_46 (tptp.c_Message_Omsg_OMPair V_na_H V_nb_H)))) V_X_H)) _let_45 tptp.tc_Event_Oevent) false)) (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_46 (tptp.c_Message_Omsg_OMPair V_na V_nb)))) V_X)) _let_45 tptp.tc_Event_Oevent) false))))) :args (_let_43)))) _let_44 :args (_let_42 false _let_43)) :args (_let_32 false _let_22 false _let_39 false _let_35 false _let_42)) :args (false false _let_33 false _let_32)) :args (_let_31 _let_30 _let_29 _let_28 _let_27 _let_26 _let_25 _let_24 _let_23 _let_22 _let_21 _let_20 _let_10 _let_7 _let_2)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.21/0.58  )
% 0.21/0.58  % SZS output end Proof for SWV332-2
% 0.21/0.59  % cvc5---1.0.5 exiting
% 0.21/0.59  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------